integrated SMT into the HOL image
authorboehmes
Wed, 12 May 2010 23:54:02 +0200
changeset 36898 8e55aa1306c5
parent 36897 6d1ecdb81ff0
child 36899 bcd6fce5bf06
integrated SMT into the HOL image
etc/components
src/HOL/IsaMakefile
src/HOL/SMT.thy
src/HOL/SMT/Examples/ROOT.ML
src/HOL/SMT/Examples/SMT_Examples.certs
src/HOL/SMT/Examples/SMT_Examples.thy
src/HOL/SMT/ROOT.ML
src/HOL/SMT/SMT.thy
src/HOL/SMT/SMT_Base.thy
src/HOL/SMT/Tools/cvc3_solver.ML
src/HOL/SMT/Tools/smt_additional_facts.ML
src/HOL/SMT/Tools/smt_monomorph.ML
src/HOL/SMT/Tools/smt_normalize.ML
src/HOL/SMT/Tools/smt_solver.ML
src/HOL/SMT/Tools/smt_translate.ML
src/HOL/SMT/Tools/smtlib_interface.ML
src/HOL/SMT/Tools/yices_solver.ML
src/HOL/SMT/Tools/z3_interface.ML
src/HOL/SMT/Tools/z3_model.ML
src/HOL/SMT/Tools/z3_proof_literals.ML
src/HOL/SMT/Tools/z3_proof_parser.ML
src/HOL/SMT/Tools/z3_proof_reconstruction.ML
src/HOL/SMT/Tools/z3_proof_tools.ML
src/HOL/SMT/Tools/z3_solver.ML
src/HOL/SMT/Z3.thy
src/HOL/SMT/etc/settings
src/HOL/SMT/lib/scripts/remote_smt
src/HOL/SMT_Examples/SMT_Examples.thy
src/HOL/Tools/SMT/cvc3_solver.ML
src/HOL/Tools/SMT/etc/settings
src/HOL/Tools/SMT/lib/scripts/remote_smt
src/HOL/Tools/SMT/smt_monomorph.ML
src/HOL/Tools/SMT/smt_normalize.ML
src/HOL/Tools/SMT/smt_solver.ML
src/HOL/Tools/SMT/smt_translate.ML
src/HOL/Tools/SMT/smtlib_interface.ML
src/HOL/Tools/SMT/yices_solver.ML
src/HOL/Tools/SMT/z3_interface.ML
src/HOL/Tools/SMT/z3_model.ML
src/HOL/Tools/SMT/z3_proof_literals.ML
src/HOL/Tools/SMT/z3_proof_parser.ML
src/HOL/Tools/SMT/z3_proof_reconstruction.ML
src/HOL/Tools/SMT/z3_proof_tools.ML
--- a/etc/components	Wed May 12 23:54:01 2010 +0200
+++ b/etc/components	Wed May 12 23:54:02 2010 +0200
@@ -16,4 +16,4 @@
 src/HOL/Tools/ATP_Manager
 src/HOL/Mirabelle
 src/HOL/Library/Sum_Of_Squares
-src/HOL/SMT
+src/HOL/Tools/SMT
--- a/src/HOL/IsaMakefile	Wed May 12 23:54:01 2010 +0200
+++ b/src/HOL/IsaMakefile	Wed May 12 23:54:02 2010 +0200
@@ -20,7 +20,6 @@
   HOL-Plain \
   HOL-Probability \
   HOL-Proofs \
-  HOL-SMT \
   HOL-Word \
   HOL4 \
   TLA
@@ -61,7 +60,7 @@
   HOL-Proofs-Extraction \
   HOL-Proofs-Lambda \
   HOL-SET_Protocol \
-  HOL-SMT-Examples \
+  HOL-SMT_Examples \
   HOL-Statespace \
   HOL-Subst \
       TLA-Buffer \
@@ -274,6 +273,7 @@
   Semiring_Normalization.thy \
   SetInterval.thy \
   Sledgehammer.thy \
+  SMT.thy \
   String.thy \
   Typerep.thy \
   $(SRC)/Provers/Arith/assoc_fold.ML \
@@ -281,6 +281,7 @@
   $(SRC)/Provers/Arith/cancel_numerals.ML \
   $(SRC)/Provers/Arith/combine_numerals.ML \
   $(SRC)/Provers/Arith/extract_common_term.ML \
+  $(SRC)/Tools/cache_io.ML \
   $(SRC)/Tools/Metis/metis.ML \
   Tools/ATP_Manager/atp_manager.ML \
   Tools/ATP_Manager/atp_systems.ML \
@@ -322,6 +323,20 @@
   Tools/Sledgehammer/sledgehammer_isar.ML \
   Tools/Sledgehammer/sledgehammer_proof_reconstruct.ML \
   Tools/Sledgehammer/sledgehammer_util.ML \
+  Tools/SMT/cvc3_solver.ML \
+  Tools/SMT/smtlib_interface.ML \
+  Tools/SMT/smt_monomorph.ML \
+  Tools/SMT/smt_normalize.ML \
+  Tools/SMT/smt_solver.ML \
+  Tools/SMT/smt_translate.ML \
+  Tools/SMT/yices_solver.ML \
+  Tools/SMT/z3_interface.ML \
+  Tools/SMT/z3_model.ML \
+  Tools/SMT/z3_proof_literals.ML \
+  Tools/SMT/z3_proof_parser.ML \
+  Tools/SMT/z3_proof_reconstruction.ML \
+  Tools/SMT/z3_proof_tools.ML \
+  Tools/SMT/z3_solver.ML \
   Tools/string_code.ML \
   Tools/string_syntax.ML \
   Tools/transfer.ML \
@@ -1070,9 +1085,9 @@
 
 ## HOL-Multivariate_Analysis
 
-HOL-Multivariate_Analysis: HOL-SMT $(OUT)/HOL-Multivariate_Analysis
+HOL-Multivariate_Analysis: HOL $(OUT)/HOL-Multivariate_Analysis
 
-$(OUT)/HOL-Multivariate_Analysis: $(OUT)/HOL-SMT	\
+$(OUT)/HOL-Multivariate_Analysis: $(OUT)/HOL		\
   Multivariate_Analysis/ROOT.ML				\
   Multivariate_Analysis/document/root.tex		\
   Multivariate_Analysis/Brouwer_Fixpoint.thy            \
@@ -1094,7 +1109,7 @@
   Library/Inner_Product.thy Library/Numeral_Type.thy	\
   Library/Convex.thy Library/FrechetDeriv.thy		\
   Library/Product_Vector.thy Library/Product_plus.thy
-	@cd Multivariate_Analysis; $(ISABELLE_TOOL) usedir -b -g true $(OUT)/HOL-SMT HOL-Multivariate_Analysis
+	@cd Multivariate_Analysis; $(ISABELLE_TOOL) usedir -b -g true $(OUT)/HOL HOL-Multivariate_Analysis
 
 
 ## HOL-Probability
@@ -1238,39 +1253,23 @@
 	@$(ISABELLE_TOOL) usedir $(OUT)/HOL Mirabelle
 
 
-## HOL-SMT
+## HOL-SMT_Examples
 
-HOL-SMT: HOL-Word $(OUT)/HOL-SMT
+HOL-SMT_Examples: HOL $(LOG)/HOL-SMT_Examples.gz
 
-$(OUT)/HOL-SMT: $(OUT)/HOL-Word SMT/ROOT.ML SMT/SMT_Base.thy SMT/Z3.thy \
-  SMT/SMT.thy SMT/Tools/smt_normalize.ML SMT/Tools/smt_monomorph.ML	\
-  SMT/Tools/smt_translate.ML SMT/Tools/smtlib_interface.ML              \
-  SMT/Tools/z3_interface.ML SMT/Tools/smt_additional_facts.ML		\
-  SMT/Tools/smt_solver.ML SMT/Tools/cvc3_solver.ML                      \
-  SMT/Tools/yices_solver.ML SMT/Tools/z3_proof_parser.ML		\
-  SMT/Tools/z3_proof_tools.ML SMT/Tools/z3_proof_literals.ML		\
-  SMT/Tools/z3_proof_reconstruction.ML SMT/Tools/z3_model.ML 		\
-  SMT/Tools/z3_solver.ML $(SRC)/Tools/cache_io.ML
-	@cd SMT; $(ISABELLE_TOOL) usedir -b -g true $(OUT)/HOL-Word HOL-SMT
-
-
-## HOL-SMT-Examples
-
-HOL-SMT-Examples: HOL-SMT $(LOG)/HOL-SMT-Examples.gz
-
-$(LOG)/HOL-SMT-Examples.gz: $(OUT)/HOL-SMT SMT/Examples/ROOT.ML		\
-  SMT/Examples/SMT_Examples.thy SMT/Examples/SMT_Examples.certs
-	@cd SMT; $(ISABELLE_TOOL) usedir $(OUT)/HOL-SMT Examples
+$(LOG)/HOL-SMT_Examples.gz: $(OUT)/HOL-SMT SMT_Examples/ROOT.ML		\
+  SMT_Examples/SMT_Examples.thy SMT_Examples/SMT_Examples.certs
+	@cd SMT; $(ISABELLE_TOOL) usedir $(OUT)/HOL Examples
 
 
 ## HOL-Boogie
 
-HOL-Boogie: HOL-SMT $(OUT)/HOL-Boogie
+HOL-Boogie: HOL $(OUT)/HOL-Boogie
 
-$(OUT)/HOL-Boogie: $(OUT)/HOL-SMT Boogie/ROOT.ML Boogie/Boogie.thy	\
+$(OUT)/HOL-Boogie: $(OUT)/HOL Boogie/ROOT.ML Boogie/Boogie.thy	\
   Boogie/Tools/boogie_vcs.ML Boogie/Tools/boogie_loader.ML		\
   Boogie/Tools/boogie_commands.ML Boogie/Tools/boogie_tactics.ML
-	@cd Boogie; $(ISABELLE_TOOL) usedir -b -g true $(OUT)/HOL-SMT HOL-Boogie
+	@cd Boogie; $(ISABELLE_TOOL) usedir -b -g true $(OUT)/HOL HOL-Boogie
 
 
 ## HOL-Boogie_Examples
@@ -1344,15 +1343,15 @@
 		$(LOG)/HOL-Probability.gz $(LOG)/HOL-Prolog.gz		\
 		$(LOG)/HOL-Proofs.gz $(LOG)/HOL-Proofs-Extraction.gz	\
 		$(LOG)/HOL-Proofs-Lambda.gz $(LOG)/HOL-SET_Protocol.gz	\
-		$(LOG)/HOL-SMT-Examples.gz $(LOG)/HOL-SMT.gz		\
-		$(LOG)/HOL-Statespace.gz $(LOG)/HOL-Subst.gz		\
-		$(LOG)/HOL-UNITY.gz $(LOG)/HOL-Unix.gz			\
-		$(LOG)/HOL-Word-Examples.gz $(LOG)/HOL-Word.gz		\
-		$(LOG)/HOL-ZF.gz $(LOG)/HOL-ex.gz $(LOG)/HOL.gz		\
-		$(LOG)/HOL4.gz $(LOG)/TLA-Buffer.gz $(LOG)/TLA-Inc.gz	\
-		$(LOG)/TLA-Memory.gz $(LOG)/TLA.gz $(OUT)/HOL		\
-		$(OUT)/HOL-Algebra $(OUT)/HOL-Base $(OUT)/HOL-Boogie	\
-		$(OUT)/HOL-Main $(OUT)/HOL-Multivariate_Analysis	\
-		$(OUT)/HOL-NSA $(OUT)/HOL-Nominal $(OUT)/HOL-Plain	\
+		$(LOG)/HOL-SMT_Examples.gz $(LOG)/HOL-Statespace.gz 	\
+		$(LOG)/HOL-Subst.gz $(LOG)/HOL-UNITY.gz			\
+		$(LOG)/HOL-Unix.gz $(LOG)/HOL-Word-Examples.gz		\
+		$(LOG)/HOL-Word.gz $(LOG)/HOL-ZF.gz $(LOG)/HOL-ex.gz	\
+		$(LOG)/HOL.gz $(LOG)/HOL4.gz $(LOG)/TLA-Buffer.gz	\
+		$(LOG)/TLA-Inc.gz $(LOG)/TLA-Memory.gz $(LOG)/TLA.gz	\
+		$(OUT)/HOL $(OUT)/HOL-Algebra $(OUT)/HOL-Base		\
+		$(OUT)/HOL-Boogie $(OUT)/HOL-Main			\
+		$(OUT)/HOL-Multivariate_Analysis $(OUT)/HOL-NSA		\
+		$(OUT)/HOL-Nominal $(OUT)/HOL-Plain			\
 		$(OUT)/HOL-Probability $(OUT)/HOL-Proofs		\
-		$(OUT)/HOL-SMT $(OUT)/HOL-Word $(OUT)/HOL4 $(OUT)/TLA
+		$(OUT)/HOL-Word $(OUT)/HOL4 $(OUT)/TLA
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/SMT.thy	Wed May 12 23:54:02 2010 +0200
@@ -0,0 +1,306 @@
+(*  Title:      HOL/SMT.thy
+    Author:     Sascha Boehme, TU Muenchen
+*)
+
+header {* Bindings to Satisfiability Modulo Theories (SMT) solvers *}
+
+theory SMT
+imports List
+uses
+  "~~/src/Tools/cache_io.ML"
+  ("Tools/SMT/smt_additional_facts.ML")
+  ("Tools/SMT/smt_monomorph.ML")
+  ("Tools/SMT/smt_normalize.ML")
+  ("Tools/SMT/smt_translate.ML")
+  ("Tools/SMT/smt_solver.ML")
+  ("Tools/SMT/smtlib_interface.ML")
+  ("Tools/SMT/z3_proof_parser.ML")
+  ("Tools/SMT/z3_proof_tools.ML")
+  ("Tools/SMT/z3_proof_literals.ML")
+  ("Tools/SMT/z3_proof_reconstruction.ML")
+  ("Tools/SMT/z3_model.ML")
+  ("Tools/SMT/z3_interface.ML")
+  ("Tools/SMT/z3_solver.ML")
+  ("Tools/SMT/cvc3_solver.ML")
+  ("Tools/SMT/yices_solver.ML")
+begin
+
+
+
+section {* Triggers for quantifier instantiation *}
+
+text {*
+Some SMT solvers support triggers for quantifier instantiation.
+Each trigger consists of one ore more patterns.  A pattern may either
+be a list of positive subterms (the first being tagged by "pat" and
+the consecutive subterms tagged by "andpat"), or a list of negative
+subterms (the first being tagged by "nopat" and the consecutive
+subterms tagged by "andpat").
+*}
+
+datatype pattern = Pattern
+
+definition pat :: "'a \<Rightarrow> pattern"
+where "pat _ = Pattern"
+
+definition nopat :: "'a \<Rightarrow> pattern"
+where "nopat _ = Pattern"
+
+definition andpat :: "pattern \<Rightarrow> 'a \<Rightarrow> pattern" (infixl "andpat" 60)
+where "_ andpat _ = Pattern"
+
+definition trigger :: "pattern list \<Rightarrow> bool \<Rightarrow> bool"
+where "trigger _ P = P"
+
+
+
+section {* Higher-order encoding *}
+
+text {*
+Application is made explicit for constants occurring with varying
+numbers of arguments.  This is achieved by the introduction of the
+following constant.
+*}
+
+definition "apply" where "apply f x = f x"
+
+text {*
+Some solvers support a theory of arrays which can be used to encode
+higher-order functions.  The following set of lemmas specifies the
+properties of such (extensional) arrays.
+*}
+
+lemmas array_rules = ext fun_upd_apply fun_upd_same fun_upd_other
+  fun_upd_upd
+
+
+
+section {* First-order logic *}
+
+text {*
+Some SMT solvers require a strict separation between formulas and
+terms.  When translating higher-order into first-order problems,
+all uninterpreted constants (those not builtin in the target solver)
+are treated as function symbols in the first-order sense.  Their
+occurrences as head symbols in atoms (i.e., as predicate symbols) is
+turned into terms by equating such atoms with @{term True} using the
+following term-level equation symbol.
+*}
+
+definition term_eq :: "bool \<Rightarrow> bool \<Rightarrow> bool" (infix "term'_eq" 50)
+  where "(x term_eq y) = (x = y)"
+
+
+
+section {* Setup *}
+
+use "Tools/SMT/smt_monomorph.ML"
+use "Tools/SMT/smt_normalize.ML"
+use "Tools/SMT/smt_translate.ML"
+use "Tools/SMT/smt_solver.ML"
+use "Tools/SMT/smtlib_interface.ML"
+use "Tools/SMT/z3_interface.ML"
+use "Tools/SMT/z3_proof_parser.ML"
+use "Tools/SMT/z3_proof_tools.ML"
+use "Tools/SMT/z3_proof_literals.ML"
+use "Tools/SMT/z3_proof_reconstruction.ML"
+use "Tools/SMT/z3_model.ML"
+use "Tools/SMT/z3_solver.ML"
+use "Tools/SMT/cvc3_solver.ML"
+use "Tools/SMT/yices_solver.ML"
+
+setup {*
+  SMT_Solver.setup #>
+  Z3_Proof_Reconstruction.setup #>
+  Z3_Solver.setup #>
+  CVC3_Solver.setup #>
+  Yices_Solver.setup
+*}
+
+
+
+section {* Configuration *}
+
+text {*
+The current configuration can be printed by the following command
+(which shows the values of most options):
+*}
+
+smt_status
+
+
+
+subsection {* General configuration options *}
+
+text {*
+The option @{text smt_solver} can be used to change the target SMT
+solver.  The possible values are @{text cvc3}, @{text yices}, and
+@{text z3}.  It is advisable to locally install the selected solver,
+although this is not necessary for @{text cvc3} and @{text z3}, which
+can also be used over an Internet-based service.
+
+When using local SMT solvers, the path to their binaries should be
+declared by setting the following environment variables:
+@{text CVC3_SOLVER}, @{text YICES_SOLVER}, and @{text Z3_SOLVER}.
+*}
+
+declare [[ smt_solver = z3 ]]
+
+text {*
+Since SMT solvers are potentially non-terminating, there is a timeout
+(given in seconds) to restrict their runtime.  A value greater than
+120 (seconds) is in most cases not advisable.
+*}
+
+declare [[ smt_timeout = 20 ]]
+
+
+
+subsection {* Certificates *}
+
+text {*
+By setting the option @{text smt_certificates} to the name of a file,
+all following applications of an SMT solver a cached in that file.
+Any further application of the same SMT solver (using the very same
+configuration) re-uses the cached certificate instead of invoking the
+solver.  An empty string disables caching certificates.
+
+The filename should be given as an explicit path.  It is good
+practice to use the name of the current theory (with ending
+@{text ".certs"} instead of @{text ".thy"}) as the certificates file.
+*}
+
+declare [[ smt_certificates = "" ]]
+
+text {*
+The option @{text smt_fixed} controls whether only stored
+certificates are should be used or invocation of an SMT solver is
+allowed.  When set to @{text true}, no SMT solver will ever be
+invoked and only the existing certificates found in the configured
+cache are used;  when set to @{text false} and there is no cached
+certificate for some proposition, then the configured SMT solver is
+invoked.
+*}
+
+declare [[ smt_fixed = false ]]
+
+
+
+subsection {* Tracing *}
+
+text {*
+For tracing the generated problem file given to the SMT solver as
+well as the returned result of the solver, the option
+@{text smt_trace} should be set to @{text true}.
+*}
+
+declare [[ smt_trace = false ]]
+
+
+
+subsection {* Z3-specific options *}
+
+text {*
+Z3 is the only SMT solver whose proofs are checked (or reconstructed)
+in Isabelle (all other solvers are implemented as oracles).  Enabling
+or disabling proof reconstruction for Z3 is controlled by the option
+@{text z3_proofs}. 
+*}
+
+declare [[ z3_proofs = true ]]
+
+text {*
+From the set of assumptions given to Z3, those assumptions used in
+the proof are traced when the option @{text z3_trace_assms} is set to
+@{term true}.
+*}
+
+declare [[ z3_trace_assms = false ]]
+
+text {*
+Z3 provides several commandline options to tweak its behaviour.  They
+can be configured by writing them literally as value for the option
+@{text z3_options}.
+*}
+
+declare [[ z3_options = "" ]]
+
+
+
+section {* Schematic rules for Z3 proof reconstruction *}
+
+text {*
+Several prof rules of Z3 are not very well documented.  There are two
+lemma groups which can turn failing Z3 proof reconstruction attempts
+into succeeding ones: the facts in @{text z3_rule} are tried prior to
+any implemented reconstruction procedure for all uncertain Z3 proof
+rules;  the facts in @{text z3_simp} are only fed to invocations of
+the simplifier when reconstructing theory-specific proof steps.
+*}
+
+lemmas [z3_rule] =
+  refl eq_commute conj_commute disj_commute simp_thms nnf_simps
+  ring_distribs field_simps times_divide_eq_right times_divide_eq_left
+  if_True if_False not_not
+
+lemma [z3_rule]:
+  "(P \<longrightarrow> Q) = (Q \<or> \<not>P)"
+  "(\<not>P \<longrightarrow> Q) = (P \<or> Q)"
+  "(\<not>P \<longrightarrow> Q) = (Q \<or> P)"
+  by auto
+
+lemma [z3_rule]:
+  "((P = Q) \<longrightarrow> R) = (R | (Q = (\<not>P)))"
+  by auto
+
+lemma [z3_rule]:
+  "((\<not>P) = P) = False"
+  "(P = (\<not>P)) = False"
+  "(P \<noteq> Q) = (Q = (\<not>P))"
+  "(P = Q) = ((\<not>P \<or> Q) \<and> (P \<or> \<not>Q))"
+  "(P \<noteq> Q) = ((\<not>P \<or> \<not>Q) \<and> (P \<or> Q))"
+  by auto
+
+lemma [z3_rule]:
+  "(if P then P else \<not>P) = True"
+  "(if \<not>P then \<not>P else P) = True"
+  "(if P then True else False) = P"
+  "(if P then False else True) = (\<not>P)"
+  "(if \<not>P then x else y) = (if P then y else x)"
+  by auto
+
+lemma [z3_rule]:
+  "P = Q \<or> P \<or> Q"
+  "P = Q \<or> \<not>P \<or> \<not>Q"
+  "(\<not>P) = Q \<or> \<not>P \<or> Q"
+  "(\<not>P) = Q \<or> P \<or> \<not>Q"
+  "P = (\<not>Q) \<or> \<not>P \<or> Q"
+  "P = (\<not>Q) \<or> P \<or> \<not>Q"
+  "P \<noteq> Q \<or> P \<or> \<not>Q"
+  "P \<noteq> Q \<or> \<not>P \<or> Q"
+  "P \<noteq> (\<not>Q) \<or> P \<or> Q"
+  "(\<not>P) \<noteq> Q \<or> P \<or> Q"
+  "P \<or> Q \<or> P \<noteq> (\<not>Q)"
+  "P \<or> Q \<or> (\<not>P) \<noteq> Q"
+  "P \<or> \<not>Q \<or> P \<noteq> Q"
+  "\<not>P \<or> Q \<or> P \<noteq> Q"
+  by auto
+
+lemma [z3_rule]:
+  "0 + (x::int) = x"
+  "x + 0 = x"
+  "0 * x = 0"
+  "1 * x = x"
+  "x + y = y + x"
+  by auto
+
+lemma [z3_rule]:
+  "0 + (x::real) = x"
+  "x + 0 = x"
+  "0 * x = 0"
+  "1 * x = x"
+  "x + y = y + x"
+  by auto
+
+
+end
--- a/src/HOL/SMT/Examples/ROOT.ML	Wed May 12 23:54:01 2010 +0200
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-use_thys ["SMT_Examples"];
--- a/src/HOL/SMT/Examples/SMT_Examples.certs	Wed May 12 23:54:01 2010 +0200
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,13471 +0,0 @@
-bb06851c317eb8b672e27364b0ae34a4e39eb880 8 0
-#2 := false
-#1 := true
-#4 := (not true)
-#21 := (iff #4 false)
-#22 := [rewrite]: #21
-#20 := [asserted]: #4
-[mp #20 #22]: false
-unsat
-70d1f77bec207467bc0306af0d98a71fa8328274 19 0
-#2 := false
-decl up_1 :: bool
-#4 := up_1
-#5 := (not up_1)
-#6 := (or up_1 #5)
-#7 := (not #6)
-#31 := (iff #7 false)
-#1 := true
-#26 := (not true)
-#29 := (iff #26 false)
-#30 := [rewrite]: #29
-#27 := (iff #7 #26)
-#24 := (iff #6 true)
-#25 := [rewrite]: #24
-#28 := [monotonicity #25]: #27
-#32 := [trans #28 #30]: #31
-#23 := [asserted]: #7
-[mp #23 #32]: false
-unsat
-148012a9e9d44fe30a0c79e3344bdb805124f661 25 0
-#2 := false
-decl up_1 :: bool
-#4 := up_1
-#1 := true
-#5 := (and up_1 true)
-#6 := (iff #5 up_1)
-#7 := (not #6)
-#37 := (iff #7 false)
-#32 := (not true)
-#35 := (iff #32 false)
-#36 := [rewrite]: #35
-#33 := (iff #7 #32)
-#30 := (iff #6 true)
-#25 := (iff up_1 up_1)
-#28 := (iff #25 true)
-#29 := [rewrite]: #28
-#26 := (iff #6 #25)
-#24 := [rewrite]: #6
-#27 := [monotonicity #24]: #26
-#31 := [trans #27 #29]: #30
-#34 := [monotonicity #31]: #33
-#38 := [trans #34 #36]: #37
-#23 := [asserted]: #7
-[mp #23 #38]: false
-unsat
-bc9a25b7f6dc3ac2431ee71b6e71c5a7b25e89d1 38 0
-#2 := false
-decl up_2 :: bool
-#5 := up_2
-decl up_1 :: bool
-#4 := up_1
-#6 := (or up_1 up_2)
-#51 := (iff #6 false)
-#46 := (or false false)
-#49 := (iff #46 false)
-#50 := [rewrite]: #49
-#47 := (iff #6 #46)
-#40 := (iff up_2 false)
-#9 := (not up_2)
-#43 := (iff #9 #40)
-#41 := (iff #40 #9)
-#42 := [rewrite]: #41
-#44 := [symm #42]: #43
-#32 := [asserted]: #9
-#45 := [mp #32 #44]: #40
-#35 := (iff up_1 false)
-#7 := (not up_1)
-#37 := (iff #7 #35)
-#33 := (iff #35 #7)
-#36 := [rewrite]: #33
-#38 := [symm #36]: #37
-#26 := (and #7 #6)
-#8 := (and #6 #7)
-#27 := (iff #8 #26)
-#28 := [rewrite]: #27
-#25 := [asserted]: #8
-#31 := [mp #25 #28]: #26
-#29 := [and-elim #31]: #7
-#39 := [mp #29 #38]: #35
-#48 := [monotonicity #39 #45]: #47
-#52 := [trans #48 #50]: #51
-#30 := [and-elim #31]: #6
-[mp #30 #52]: false
-unsat
-9b3db6ce34c8a1806160f1349b898b6c5ca40ba0 1 0
-unsat
-912e9b7fb52f4a71d232354b3bb53c11e5a41ccd 71 0
-#2 := false
-decl up_1 :: bool
-#4 := up_1
-decl up_3 :: bool
-#7 := up_3
-#10 := (and up_1 up_3)
-decl up_2 :: bool
-#5 := up_2
-#9 := (and up_3 up_2)
-#11 := (or #9 #10)
-#12 := (implies up_1 #11)
-#13 := (or #12 up_1)
-#6 := (and up_1 up_2)
-#8 := (or #6 up_3)
-#14 := (implies #8 #13)
-#15 := (not #14)
-#81 := (iff #15 false)
-#32 := (and up_2 up_3)
-#38 := (or #10 #32)
-#46 := (not up_1)
-#47 := (or #46 #38)
-#55 := (or up_1 #47)
-#63 := (not #8)
-#64 := (or #63 #55)
-#69 := (not #64)
-#79 := (iff #69 false)
-#1 := true
-#74 := (not true)
-#77 := (iff #74 false)
-#78 := [rewrite]: #77
-#75 := (iff #69 #74)
-#72 := (iff #64 true)
-#73 := [rewrite]: #72
-#76 := [monotonicity #73]: #75
-#80 := [trans #76 #78]: #79
-#70 := (iff #15 #69)
-#67 := (iff #14 #64)
-#60 := (implies #8 #55)
-#65 := (iff #60 #64)
-#66 := [rewrite]: #65
-#61 := (iff #14 #60)
-#58 := (iff #13 #55)
-#52 := (or #47 up_1)
-#56 := (iff #52 #55)
-#57 := [rewrite]: #56
-#53 := (iff #13 #52)
-#50 := (iff #12 #47)
-#43 := (implies up_1 #38)
-#48 := (iff #43 #47)
-#49 := [rewrite]: #48
-#44 := (iff #12 #43)
-#41 := (iff #11 #38)
-#35 := (or #32 #10)
-#39 := (iff #35 #38)
-#40 := [rewrite]: #39
-#36 := (iff #11 #35)
-#33 := (iff #9 #32)
-#34 := [rewrite]: #33
-#37 := [monotonicity #34]: #36
-#42 := [trans #37 #40]: #41
-#45 := [monotonicity #42]: #44
-#51 := [trans #45 #49]: #50
-#54 := [monotonicity #51]: #53
-#59 := [trans #54 #57]: #58
-#62 := [monotonicity #59]: #61
-#68 := [trans #62 #66]: #67
-#71 := [monotonicity #68]: #70
-#82 := [trans #71 #80]: #81
-#31 := [asserted]: #15
-[mp #31 #82]: false
-unsat
-4d063d3cdf6657ddb4258379f900ef18e9042978 57 0
-#2 := false
-decl up_1 :: bool
-#4 := up_1
-#5 := (iff up_1 up_1)
-#6 := (iff #5 up_1)
-#7 := (iff #6 up_1)
-#8 := (iff #7 up_1)
-#9 := (iff #8 up_1)
-#10 := (iff #9 up_1)
-#11 := (iff #10 up_1)
-#12 := (iff #11 up_1)
-#13 := (iff #12 up_1)
-#14 := (not #13)
-#69 := (iff #14 false)
-#1 := true
-#64 := (not true)
-#67 := (iff #64 false)
-#68 := [rewrite]: #67
-#65 := (iff #14 #64)
-#62 := (iff #13 true)
-#31 := (iff #5 true)
-#32 := [rewrite]: #31
-#60 := (iff #13 #5)
-#33 := (iff true up_1)
-#36 := (iff #33 up_1)
-#37 := [rewrite]: #36
-#57 := (iff #12 #33)
-#55 := (iff #11 true)
-#53 := (iff #11 #5)
-#50 := (iff #10 #33)
-#48 := (iff #9 true)
-#46 := (iff #9 #5)
-#43 := (iff #8 #33)
-#41 := (iff #7 true)
-#39 := (iff #7 #5)
-#34 := (iff #6 #33)
-#35 := [monotonicity #32]: #34
-#38 := [trans #35 #37]: #7
-#40 := [monotonicity #38]: #39
-#42 := [trans #40 #32]: #41
-#44 := [monotonicity #42]: #43
-#45 := [trans #44 #37]: #9
-#47 := [monotonicity #45]: #46
-#49 := [trans #47 #32]: #48
-#51 := [monotonicity #49]: #50
-#52 := [trans #51 #37]: #11
-#54 := [monotonicity #52]: #53
-#56 := [trans #54 #32]: #55
-#58 := [monotonicity #56]: #57
-#59 := [trans #58 #37]: #13
-#61 := [monotonicity #59]: #60
-#63 := [trans #61 #32]: #62
-#66 := [monotonicity #63]: #65
-#70 := [trans #66 #68]: #69
-#30 := [asserted]: #14
-[mp #30 #70]: false
-unsat
-212c7825456dae820eef6b1fa0cb8c5ceeff8780 194 0
-#2 := false
-decl up_1 :: bool
-#4 := up_1
-#75 := (not up_1)
-#246 := (iff #75 false)
-#1 := true
-#214 := (not true)
-#217 := (iff #214 false)
-#218 := [rewrite]: #217
-#244 := (iff #75 #214)
-#238 := (iff up_1 true)
-#241 := (iff up_1 #238)
-#239 := (iff #238 up_1)
-#240 := [rewrite]: #239
-#242 := [symm #240]: #241
-decl up_4 :: bool
-#7 := up_4
-decl up_2 :: bool
-#5 := up_2
-#161 := (or up_1 up_2 up_4)
-#200 := (iff #161 up_1)
-#195 := (or up_1 false false)
-#198 := (iff #195 up_1)
-#199 := [rewrite]: #198
-#196 := (iff #161 #195)
-#189 := (iff up_4 false)
-#102 := (not up_4)
-#192 := (iff #102 #189)
-#190 := (iff #189 #102)
-#191 := [rewrite]: #190
-#193 := [symm #191]: #192
-decl up_3 :: bool
-#6 := up_3
-#108 := (or up_3 #102)
-#180 := (iff #108 #102)
-#175 := (or false #102)
-#178 := (iff #175 #102)
-#179 := [rewrite]: #178
-#176 := (iff #108 #175)
-#152 := (iff up_3 false)
-#16 := (not up_3)
-#155 := (iff #16 #152)
-#153 := (iff #152 #16)
-#154 := [rewrite]: #153
-#156 := [symm #154]: #155
-decl up_9 :: bool
-#32 := up_9
-#33 := (not up_9)
-#34 := (and up_9 #33)
-decl up_8 :: bool
-#30 := up_8
-#35 := (or up_8 #34)
-#31 := (not up_8)
-#36 := (and #31 #35)
-#37 := (or up_3 #36)
-#38 := (not #37)
-#138 := (iff #38 #16)
-#136 := (iff #37 up_3)
-#131 := (or up_3 false)
-#134 := (iff #131 up_3)
-#135 := [rewrite]: #134
-#132 := (iff #37 #131)
-#129 := (iff #36 false)
-#124 := (and #31 up_8)
-#127 := (iff #124 false)
-#128 := [rewrite]: #127
-#125 := (iff #36 #124)
-#122 := (iff #35 up_8)
-#117 := (or up_8 false)
-#120 := (iff #117 up_8)
-#121 := [rewrite]: #120
-#118 := (iff #35 #117)
-#114 := (iff #34 false)
-#116 := [rewrite]: #114
-#119 := [monotonicity #116]: #118
-#123 := [trans #119 #121]: #122
-#126 := [monotonicity #123]: #125
-#130 := [trans #126 #128]: #129
-#133 := [monotonicity #130]: #132
-#137 := [trans #133 #135]: #136
-#139 := [monotonicity #137]: #138
-#113 := [asserted]: #38
-#142 := [mp #113 #139]: #16
-#157 := [mp #142 #156]: #152
-#177 := [monotonicity #157]: #176
-#181 := [trans #177 #179]: #180
-#27 := (or up_4 false)
-#28 := (not #27)
-#29 := (or #28 up_3)
-#111 := (iff #29 #108)
-#105 := (or #102 up_3)
-#109 := (iff #105 #108)
-#110 := [rewrite]: #109
-#106 := (iff #29 #105)
-#103 := (iff #28 #102)
-#99 := (iff #27 up_4)
-#101 := [rewrite]: #99
-#104 := [monotonicity #101]: #103
-#107 := [monotonicity #104]: #106
-#112 := [trans #107 #110]: #111
-#98 := [asserted]: #29
-#115 := [mp #98 #112]: #108
-#182 := [mp #115 #181]: #102
-#194 := [mp #182 #193]: #189
-#183 := (iff up_2 false)
-#92 := (not up_2)
-#186 := (iff #92 #183)
-#184 := (iff #183 #92)
-#185 := [rewrite]: #184
-#187 := [symm #185]: #186
-#95 := (or #92 up_3)
-#172 := (iff #95 #92)
-#167 := (or #92 false)
-#170 := (iff #167 #92)
-#171 := [rewrite]: #170
-#168 := (iff #95 #167)
-#169 := [monotonicity #157]: #168
-#173 := [trans #169 #171]: #172
-decl up_7 :: bool
-#21 := up_7
-#22 := (not up_7)
-#23 := (or up_7 #22)
-#24 := (and up_2 #23)
-#25 := (not #24)
-#26 := (or #25 up_3)
-#96 := (iff #26 #95)
-#93 := (iff #25 #92)
-#90 := (iff #24 up_2)
-#85 := (and up_2 true)
-#88 := (iff #85 up_2)
-#89 := [rewrite]: #88
-#86 := (iff #24 #85)
-#82 := (iff #23 true)
-#84 := [rewrite]: #82
-#87 := [monotonicity #84]: #86
-#91 := [trans #87 #89]: #90
-#94 := [monotonicity #91]: #93
-#97 := [monotonicity #94]: #96
-#81 := [asserted]: #26
-#100 := [mp #81 #97]: #95
-#174 := [mp #100 #173]: #92
-#188 := [mp #174 #187]: #183
-#197 := [monotonicity #188 #194]: #196
-#201 := [trans #197 #199]: #200
-#58 := (or up_1 up_2 up_3 up_4)
-#164 := (iff #58 #161)
-#158 := (or up_1 up_2 false up_4)
-#162 := (iff #158 #161)
-#163 := [rewrite]: #162
-#159 := (iff #58 #158)
-#160 := [monotonicity #157]: #159
-#165 := [trans #160 #163]: #164
-#8 := (or up_3 up_4)
-#9 := (or up_2 #8)
-#10 := (or up_1 #9)
-#59 := (iff #10 #58)
-#60 := [rewrite]: #59
-#55 := [asserted]: #10
-#61 := [mp #55 #60]: #58
-#166 := [mp #61 #165]: #161
-#202 := [mp #166 #201]: up_1
-#243 := [mp #202 #242]: #238
-#245 := [monotonicity #243]: #244
-#247 := [trans #245 #218]: #246
-#78 := (or #75 up_2)
-#235 := (iff #78 #75)
-#230 := (or #75 false)
-#233 := (iff #230 #75)
-#234 := [rewrite]: #233
-#231 := (iff #78 #230)
-#232 := [monotonicity #188]: #231
-#236 := [trans #232 #234]: #235
-#17 := (and up_3 #16)
-#18 := (or up_1 #17)
-#19 := (not #18)
-#20 := (or #19 up_2)
-#79 := (iff #20 #78)
-#76 := (iff #19 #75)
-#73 := (iff #18 up_1)
-#68 := (or up_1 false)
-#71 := (iff #68 up_1)
-#72 := [rewrite]: #71
-#69 := (iff #18 #68)
-#62 := (iff #17 false)
-#67 := [rewrite]: #62
-#70 := [monotonicity #67]: #69
-#74 := [trans #70 #72]: #73
-#77 := [monotonicity #74]: #76
-#80 := [monotonicity #77]: #79
-#57 := [asserted]: #20
-#83 := [mp #57 #80]: #78
-#237 := [mp #83 #236]: #75
-[mp #237 #247]: false
-unsat
-42890f9fa7c18237798ca55d0cf9dfff6f2f868a 52 0
-#2 := false
-decl uf_1 :: (-> T1 T1 T1)
-decl uf_2 :: T1
-#10 := uf_2
-decl uf_3 :: T1
-#12 := uf_3
-#14 := (uf_1 uf_3 uf_2)
-#13 := (uf_1 uf_2 uf_3)
-#15 := (= #13 #14)
-#44 := (not #15)
-#11 := (= uf_2 uf_2)
-#16 := (and #11 #15)
-#17 := (not #16)
-#45 := (iff #17 #44)
-#42 := (iff #16 #15)
-#1 := true
-#37 := (and true #15)
-#40 := (iff #37 #15)
-#41 := [rewrite]: #40
-#38 := (iff #16 #37)
-#35 := (iff #11 true)
-#36 := [rewrite]: #35
-#39 := [monotonicity #36]: #38
-#43 := [trans #39 #41]: #42
-#46 := [monotonicity #43]: #45
-#34 := [asserted]: #17
-#49 := [mp #34 #46]: #44
-#4 := (:var 1 T1)
-#5 := (:var 0 T1)
-#7 := (uf_1 #5 #4)
-#530 := (pattern #7)
-#6 := (uf_1 #4 #5)
-#529 := (pattern #6)
-#8 := (= #6 #7)
-#531 := (forall (vars (?x1 T1) (?x2 T1)) (:pat #529 #530) #8)
-#9 := (forall (vars (?x1 T1) (?x2 T1)) #8)
-#534 := (iff #9 #531)
-#532 := (iff #8 #8)
-#533 := [refl]: #532
-#535 := [quant-intro #533]: #534
-#55 := (~ #9 #9)
-#53 := (~ #8 #8)
-#54 := [refl]: #53
-#56 := [nnf-pos #54]: #55
-#33 := [asserted]: #9
-#57 := [mp~ #33 #56]: #9
-#536 := [mp #57 #535]: #531
-#112 := (not #531)
-#199 := (or #112 #15)
-#113 := [quant-inst]: #199
-[unit-resolution #113 #536 #49]: false
-unsat
-62bff2883948b13c19c4cd52ed250bf0afc3ec90 1667 0
-#2 := false
-decl up_54 :: bool
-#126 := up_54
-#317 := (not up_54)
-decl up_60 :: bool
-#145 := up_60
-decl up_56 :: bool
-#131 := up_56
-#325 := (not up_56)
-decl up_55 :: bool
-#130 := up_55
-decl up_46 :: bool
-#108 := up_46
-#291 := (not up_46)
-decl up_35 :: bool
-#81 := up_35
-decl up_29 :: bool
-#66 := up_29
-decl up_32 :: bool
-#72 := up_32
-#235 := (not up_32)
-decl up_34 :: bool
-#77 := up_34
-#243 := (not up_34)
-decl up_33 :: bool
-#76 := up_33
-#250 := (not up_35)
-#1611 := [hypothesis]: #250
-decl up_24 :: bool
-#54 := up_24
-#209 := (not up_24)
-decl up_13 :: bool
-#28 := up_13
-decl up_11 :: bool
-#24 := up_11
-#165 := (not up_11)
-decl up_12 :: bool
-#25 := up_12
-#2327 := (or up_12 up_35)
-#345 := (not up_60)
-decl up_59 :: bool
-#142 := up_59
-decl up_19 :: bool
-#40 := up_19
-decl up_8 :: bool
-#17 := up_8
-#156 := (not up_8)
-decl up_7 :: bool
-#16 := up_7
-#166 := (not up_12)
-#1457 := [hypothesis]: #166
-#2183 := (or up_7 up_12 up_35)
-#155 := (not up_7)
-#1612 := [hypothesis]: #155
-decl up_10 :: bool
-#21 := up_10
-#161 := (not up_10)
-decl up_20 :: bool
-#44 := up_20
-decl up_23 :: bool
-#50 := up_23
-#202 := (not up_23)
-#2170 := (or up_34 up_7 up_35 up_12)
-#1605 := [hypothesis]: #243
-#2164 := (or up_29 up_34 up_7 up_35 up_12)
-decl up_42 :: bool
-#98 := up_42
-#275 := (not up_42)
-#226 := (not up_29)
-#907 := [hypothesis]: #226
-#2136 := (or up_29 up_12 up_7 up_35 up_32)
-decl up_22 :: bool
-#49 := up_22
-#895 := [hypothesis]: #235
-#1624 := (or up_29 up_22 up_12 up_32 up_35 up_7)
-decl up_21 :: bool
-#45 := up_21
-decl up_31 :: bool
-#71 := up_31
-#234 := (not up_31)
-decl up_9 :: bool
-#20 := up_9
-#201 := (not up_22)
-#1456 := [hypothesis]: #201
-#847 := (or #161 up_32 up_29 up_22 up_12)
-#193 := (not up_20)
-#1400 := [hypothesis]: up_10
-#964 := (or #161 #193)
-#197 := (or #193 #161)
-#966 := (iff #197 #964)
-#967 := [rewrite]: #966
-#963 := [asserted]: #197
-#970 := [mp #963 #967]: #964
-#1399 := [unit-resolution #970 #1400]: #193
-#500 := (or up_12 up_20 up_22 up_23)
-#51 := (or up_20 up_12)
-#52 := (or up_23 #51)
-#53 := (or up_22 #52)
-#503 := (iff #53 #500)
-#491 := (or up_12 up_20)
-#494 := (or up_23 #491)
-#497 := (or up_22 #494)
-#501 := (iff #497 #500)
-#502 := [rewrite]: #501
-#498 := (iff #53 #497)
-#495 := (iff #52 #494)
-#492 := (iff #51 #491)
-#493 := [rewrite]: #492
-#496 := [monotonicity #493]: #495
-#499 := [monotonicity #496]: #498
-#504 := [trans #499 #502]: #503
-#490 := [asserted]: #53
-#505 := [mp #490 #504]: #500
-#900 := [unit-resolution #505 #1399 #1456 #1457]: up_23
-#194 := (not up_21)
-#974 := (or #161 #194)
-#199 := (or #194 #161)
-#976 := (iff #199 #974)
-#977 := [rewrite]: #976
-#973 := [asserted]: #199
-#980 := [mp #973 #977]: #974
-#902 := [unit-resolution #980 #1400]: #194
-#574 := (or up_21 up_29 up_31 up_32)
-#73 := (or up_29 up_21)
-#74 := (or up_32 #73)
-#75 := (or up_31 #74)
-#577 := (iff #75 #574)
-#565 := (or up_21 up_29)
-#568 := (or up_32 #565)
-#571 := (or up_31 #568)
-#575 := (iff #571 #574)
-#576 := [rewrite]: #575
-#572 := (iff #75 #571)
-#569 := (iff #74 #568)
-#566 := (iff #73 #565)
-#567 := [rewrite]: #566
-#570 := [monotonicity #567]: #569
-#573 := [monotonicity #570]: #572
-#578 := [trans #573 #576]: #577
-#564 := [asserted]: #75
-#579 := [mp #564 #578]: #574
-#851 := [unit-resolution #579 #902 #895 #907]: up_31
-#1135 := (or #202 #234)
-#249 := (or #234 #202)
-#1137 := (iff #249 #1135)
-#1138 := [rewrite]: #1137
-#1134 := [asserted]: #249
-#1141 := [mp #1134 #1138]: #1135
-#858 := [unit-resolution #1141 #851 #900]: false
-#853 := [lemma #858]: #847
-#1613 := [unit-resolution #853 #907 #1456 #895 #1457]: #161
-#405 := (or up_7 up_9 up_10)
-#22 := (or up_10 up_7)
-#23 := (or up_9 #22)
-#408 := (iff #23 #405)
-#399 := (or up_7 up_10)
-#402 := (or up_9 #399)
-#406 := (iff #402 #405)
-#407 := [rewrite]: #406
-#403 := (iff #23 #402)
-#400 := (iff #22 #399)
-#401 := [rewrite]: #400
-#404 := [monotonicity #401]: #403
-#409 := [trans #404 #407]: #408
-#398 := [asserted]: #23
-#410 := [mp #398 #409]: #405
-#1614 := [unit-resolution #410 #1613 #1612]: up_9
-#160 := (not up_9)
-#881 := (or #160 #165)
-#168 := (or #165 #160)
-#882 := (iff #168 #881)
-#883 := [rewrite]: #882
-#879 := [asserted]: #168
-#886 := [mp #879 #883]: #881
-#1615 := [unit-resolution #886 #1614]: #165
-#425 := (or up_11 up_13)
-#29 := (or up_13 up_11)
-#426 := (iff #29 #425)
-#427 := [rewrite]: #426
-#424 := [asserted]: #29
-#430 := [mp #424 #427]: #425
-#1616 := [unit-resolution #430 #1615]: up_13
-#170 := (not up_13)
-#1015 := (or #170 #209)
-#211 := (or #209 #170)
-#1017 := (iff #211 #1015)
-#1018 := [rewrite]: #1017
-#1014 := [asserted]: #211
-#1021 := [mp #1014 #1018]: #1015
-#1617 := [unit-resolution #1021 #1616]: #209
-#603 := (or up_24 up_33 up_35)
-#82 := (or up_33 up_24)
-#83 := (or up_35 #82)
-#606 := (iff #83 #603)
-#597 := (or up_24 up_33)
-#600 := (or up_35 #597)
-#604 := (iff #600 #603)
-#605 := [rewrite]: #604
-#601 := (iff #83 #600)
-#598 := (iff #82 #597)
-#599 := [rewrite]: #598
-#602 := [monotonicity #599]: #601
-#607 := [trans #602 #605]: #606
-#596 := [asserted]: #83
-#608 := [mp #596 #607]: #603
-#1618 := [unit-resolution #608 #1617 #1611]: up_33
-#242 := (not up_33)
-#1116 := (or #234 #242)
-#245 := (or #242 #234)
-#1117 := (iff #245 #1116)
-#1118 := [rewrite]: #1117
-#1114 := [asserted]: #245
-#1121 := [mp #1114 #1118]: #1116
-#1619 := [unit-resolution #1121 #1618]: #234
-#1620 := [unit-resolution #579 #1619 #895 #907]: up_21
-#1120 := (or #202 #242)
-#246 := (or #242 #202)
-#1122 := (iff #246 #1120)
-#1123 := [rewrite]: #1122
-#1119 := [asserted]: #246
-#1126 := [mp #1119 #1123]: #1120
-#1621 := [unit-resolution #1126 #1618]: #202
-#1622 := [unit-resolution #505 #1621 #1456 #1457]: up_20
-#195 := (or #193 #194)
-#957 := [asserted]: #195
-#1623 := [unit-resolution #957 #1622 #1620]: false
-#1625 := [lemma #1623]: #1624
-#2132 := [unit-resolution #1625 #907 #1611 #1457 #895 #1612]: up_22
-#1978 := (or up_32 up_35 up_29 up_21 up_12 up_7)
-#1972 := [unit-resolution #1625 #895 #907 #1457 #1611 #1612]: up_22
-#1010 := (or #201 #209)
-#210 := (or #209 #201)
-#1012 := (iff #210 #1010)
-#1013 := [rewrite]: #1012
-#1009 := [asserted]: #210
-#1016 := [mp #1009 #1013]: #1010
-#1973 := [unit-resolution #1016 #1972]: #209
-#1974 := [hypothesis]: #194
-#1975 := [unit-resolution #579 #895 #907 #1974]: up_31
-#1976 := [unit-resolution #1121 #1975]: #242
-#1977 := [unit-resolution #608 #1976 #1973 #1611]: false
-#1979 := [lemma #1977]: #1978
-#2133 := [unit-resolution #1979 #907 #1611 #1457 #895 #1612]: up_21
-#1682 := (or #194 up_7 up_12 up_23)
-#1673 := [hypothesis]: #202
-#1674 := [hypothesis]: up_21
-#1675 := [unit-resolution #957 #1674]: #193
-#1676 := [unit-resolution #505 #1675 #1457 #1673]: up_22
-#1020 := (or #170 #201)
-#212 := (or #201 #170)
-#1022 := (iff #212 #1020)
-#1023 := [rewrite]: #1022
-#1019 := [asserted]: #212
-#1026 := [mp #1019 #1023]: #1020
-#1677 := [unit-resolution #1026 #1676]: #170
-#1678 := [unit-resolution #980 #1674]: #161
-#1679 := [unit-resolution #410 #1678 #1612]: up_9
-#1680 := [unit-resolution #886 #1679]: #165
-#1681 := [unit-resolution #430 #1680 #1677]: false
-#1683 := [lemma #1681]: #1682
-#2134 := [unit-resolution #1683 #2133 #1457 #1612]: up_23
-#203 := (or #201 #202)
-#983 := [asserted]: #203
-#2135 := [unit-resolution #983 #2134 #2132]: false
-#2137 := [lemma #2135]: #2136
-#2156 := [unit-resolution #2137 #907 #1612 #1611 #1457]: up_32
-#1224 := (or #235 #275)
-#279 := (or #275 #235)
-#1226 := (iff #279 #1224)
-#1227 := [rewrite]: #1226
-#1223 := [asserted]: #279
-#1230 := [mp #1223 #1227]: #1224
-#2157 := [unit-resolution #1230 #2156]: #275
-#2158 := (or up_12 up_29 up_7 up_54)
-decl up_26 :: bool
-#58 := up_26
-#214 := (not up_26)
-decl up_15 :: bool
-#31 := up_15
-decl up_14 :: bool
-#30 := up_14
-#172 := (not up_14)
-decl up_6 :: bool
-#13 := up_6
-decl up_5 :: bool
-#12 := up_5
-#150 := (not up_5)
-decl up_25 :: bool
-#57 := up_25
-#2099 := [hypothesis]: up_5
-#859 := (or #150 #155)
-#158 := (or #155 #150)
-#860 := (iff #158 #859)
-#861 := [rewrite]: #860
-#857 := [asserted]: #158
-#864 := [mp #857 #861]: #859
-#2100 := [unit-resolution #864 #2099]: #155
-#863 := (or #150 #156)
-#159 := (or #156 #150)
-#865 := (iff #159 #863)
-#866 := [rewrite]: #865
-#862 := [asserted]: #159
-#869 := [mp #862 #866]: #863
-#2101 := [unit-resolution #869 #2099]: #156
-#2097 := (or up_12 up_7 up_8)
-#1626 := [hypothesis]: #156
-#2054 := (or up_54 up_7 up_8)
-decl up_16 :: bool
-#34 := up_16
-#1597 := [hypothesis]: #317
-#1888 := (or up_16 up_8 up_7 up_54)
-decl up_45 :: bool
-#104 := up_45
-#284 := (not up_45)
-decl up_52 :: bool
-#121 := up_52
-#309 := (not up_52)
-decl up_51 :: bool
-#120 := up_51
-#177 := (not up_16)
-#1627 := [hypothesis]: #177
-#1733 := (or up_51 up_7 up_54 up_8 up_16)
-decl up_53 :: bool
-#125 := up_53
-#308 := (not up_51)
-#1598 := [hypothesis]: #308
-decl up_43 :: bool
-#99 := up_43
-#276 := (not up_43)
-#1710 := (or up_32 up_16 up_8 up_7 up_51 up_54)
-#1671 := (or up_35 up_16 up_8 up_32 up_7)
-#1655 := (or #166 up_32 up_16 up_8 up_35 up_7)
-#1642 := [hypothesis]: up_12
-#885 := (or #160 #166)
-#169 := (or #166 #160)
-#887 := (iff #169 #885)
-#888 := [rewrite]: #887
-#884 := [asserted]: #169
-#891 := [mp #884 #888]: #885
-#1643 := [unit-resolution #891 #1642]: #160
-#1644 := [unit-resolution #410 #1643 #1612]: up_10
-#1645 := [unit-resolution #980 #1644]: #194
-#167 := (or #165 #166)
-#878 := [asserted]: #167
-#1646 := [unit-resolution #878 #1642]: #165
-#1647 := [unit-resolution #430 #1646]: up_13
-#1648 := [unit-resolution #1021 #1647]: #209
-#1649 := [unit-resolution #608 #1648 #1611]: up_33
-#1650 := [unit-resolution #1121 #1649]: #234
-decl up_18 :: bool
-#39 := up_18
-#185 := (not up_18)
-#979 := (or #161 #185)
-#200 := (or #185 #161)
-#981 := (iff #200 #979)
-#982 := [rewrite]: #981
-#978 := [asserted]: #200
-#985 := [mp #978 #982]: #979
-#1651 := [unit-resolution #985 #1644]: #185
-#468 := (or up_8 up_16 up_18 up_19)
-#41 := (or up_16 up_8)
-#42 := (or up_19 #41)
-#43 := (or up_18 #42)
-#471 := (iff #43 #468)
-#459 := (or up_8 up_16)
-#462 := (or up_19 #459)
-#465 := (or up_18 #462)
-#469 := (iff #465 #468)
-#470 := [rewrite]: #469
-#466 := (iff #43 #465)
-#463 := (iff #42 #462)
-#460 := (iff #41 #459)
-#461 := [rewrite]: #460
-#464 := [monotonicity #461]: #463
-#467 := [monotonicity #464]: #466
-#472 := [trans #467 #470]: #471
-#458 := [asserted]: #43
-#473 := [mp #458 #472]: #468
-#1652 := [unit-resolution #473 #1651 #1627 #1626]: up_19
-#186 := (not up_19)
-#1068 := (or #186 #226)
-#230 := (or #226 #186)
-#1070 := (iff #230 #1068)
-#1071 := [rewrite]: #1070
-#1067 := [asserted]: #230
-#1074 := [mp #1067 #1071]: #1068
-#1653 := [unit-resolution #1074 #1652]: #226
-#1654 := [unit-resolution #579 #1653 #1650 #895 #1645]: false
-#1656 := [lemma #1654]: #1655
-#1657 := [unit-resolution #1656 #1611 #1627 #1626 #895 #1612]: #166
-#1640 := (or up_12 up_35 up_7 up_22 up_16 up_8 up_32)
-#1628 := [unit-resolution #1625 #1457 #1456 #895 #1611 #1612]: up_29
-#1629 := [unit-resolution #1074 #1628]: #186
-#1630 := [unit-resolution #473 #1629 #1627 #1626]: up_18
-#960 := (or #185 #193)
-#196 := (or #193 #185)
-#961 := (iff #196 #960)
-#962 := [rewrite]: #961
-#958 := [asserted]: #196
-#965 := [mp #958 #962]: #960
-#1631 := [unit-resolution #965 #1630]: #193
-#1632 := [unit-resolution #505 #1631 #1456 #1457]: up_23
-#1633 := [unit-resolution #1126 #1632]: #242
-#1634 := [unit-resolution #608 #1633 #1611]: up_24
-#1635 := [unit-resolution #985 #1630]: #161
-#1636 := [unit-resolution #410 #1635 #1612]: up_9
-#1637 := [unit-resolution #886 #1636]: #165
-#1638 := [unit-resolution #430 #1637]: up_13
-#1639 := [unit-resolution #1021 #1638 #1634]: false
-#1641 := [lemma #1639]: #1640
-#1658 := [unit-resolution #1641 #1657 #1612 #1611 #1627 #1626 #895]: up_22
-#1659 := [unit-resolution #1016 #1658]: #209
-#1660 := [unit-resolution #608 #1659 #1611]: up_33
-#1661 := [unit-resolution #1121 #1660]: #234
-#1662 := [unit-resolution #1026 #1658]: #170
-#1663 := [unit-resolution #430 #1662]: up_11
-#1664 := [unit-resolution #886 #1663]: #160
-#1665 := [unit-resolution #410 #1664 #1612]: up_10
-#1666 := [unit-resolution #980 #1665]: #194
-#1667 := [unit-resolution #579 #1666 #895 #1661]: up_29
-#1668 := [unit-resolution #985 #1665]: #185
-#1669 := [unit-resolution #473 #1668 #1627 #1626]: up_19
-#1670 := [unit-resolution #1074 #1669 #1667]: false
-#1672 := [lemma #1670]: #1671
-#1698 := [unit-resolution #1672 #895 #1626 #1627 #1612]: up_35
-#1609 := (or #250 up_34 up_51 up_54)
-#316 := (not up_53)
-#1599 := [hypothesis]: up_35
-#1275 := (or #250 #291)
-#293 := (or #291 #250)
-#1277 := (iff #293 #1275)
-#1278 := [rewrite]: #1277
-#1274 := [asserted]: #293
-#1281 := [mp #1274 #1278]: #1275
-#1600 := [unit-resolution #1281 #1599]: #291
-#777 := (or up_46 up_55)
-decl up_4 :: bool
-#10 := up_4
-#783 := (or up_4 up_46 up_55)
-#1514 := (iff #783 #777)
-#1509 := (or false up_46 up_55)
-#1512 := (iff #1509 #777)
-#1513 := [rewrite]: #1512
-#1510 := (iff #783 #1509)
-#1485 := (iff up_4 false)
-#11 := (not up_4)
-#1488 := (iff #11 #1485)
-#1486 := (iff #1485 #11)
-#1487 := [rewrite]: #1486
-#1489 := [symm #1487]: #1488
-#371 := [asserted]: #11
-#1490 := [mp #371 #1489]: #1485
-#1511 := [monotonicity #1490]: #1510
-#1515 := [trans #1511 #1513]: #1514
-#135 := (or up_55 up_46)
-#136 := (or up_4 #135)
-#786 := (iff #136 #783)
-#780 := (or up_4 #777)
-#784 := (iff #780 #783)
-#785 := [rewrite]: #784
-#781 := (iff #136 #780)
-#778 := (iff #135 #777)
-#779 := [rewrite]: #778
-#782 := [monotonicity #779]: #781
-#787 := [trans #782 #785]: #786
-#776 := [asserted]: #136
-#788 := [mp #776 #787]: #783
-#1516 := [mp #788 #1515]: #777
-#1601 := [unit-resolution #1516 #1600]: up_55
-#324 := (not up_55)
-#1376 := (or #316 #324)
-#327 := (or #324 #316)
-#1377 := (iff #327 #1376)
-#1378 := [rewrite]: #1377
-#1374 := [asserted]: #327
-#1381 := [mp #1374 #1378]: #1376
-#1602 := [unit-resolution #1381 #1601]: #316
-#754 := (or up_43 up_51 up_53 up_54)
-#127 := (or up_51 up_43)
-#128 := (or up_54 #127)
-#129 := (or up_53 #128)
-#757 := (iff #129 #754)
-#745 := (or up_43 up_51)
-#748 := (or up_54 #745)
-#751 := (or up_53 #748)
-#755 := (iff #751 #754)
-#756 := [rewrite]: #755
-#752 := (iff #129 #751)
-#749 := (iff #128 #748)
-#746 := (iff #127 #745)
-#747 := [rewrite]: #746
-#750 := [monotonicity #747]: #749
-#753 := [monotonicity #750]: #752
-#758 := [trans #753 #756]: #757
-#744 := [asserted]: #129
-#759 := [mp #744 #758]: #754
-#1603 := [unit-resolution #759 #1602 #1598 #1597]: up_43
-decl up_44 :: bool
-#103 := up_44
-#283 := (not up_44)
-#1280 := (or #250 #283)
-#294 := (or #283 #250)
-#1282 := (iff #294 #1280)
-#1283 := [rewrite]: #1282
-#1279 := [asserted]: #294
-#1286 := [mp #1279 #1283]: #1280
-#1604 := [unit-resolution #1286 #1599]: #283
-#1380 := (or #284 #324)
-#328 := (or #324 #284)
-#1382 := (iff #328 #1380)
-#1383 := [rewrite]: #1382
-#1379 := [asserted]: #328
-#1386 := [mp #1379 #1383]: #1380
-#1606 := [unit-resolution #1386 #1601]: #284
-#680 := (or up_34 up_42 up_44 up_45)
-#105 := (or up_42 up_34)
-#106 := (or up_45 #105)
-#107 := (or up_44 #106)
-#683 := (iff #107 #680)
-#671 := (or up_34 up_42)
-#674 := (or up_45 #671)
-#677 := (or up_44 #674)
-#681 := (iff #677 #680)
-#682 := [rewrite]: #681
-#678 := (iff #107 #677)
-#675 := (iff #106 #674)
-#672 := (iff #105 #671)
-#673 := [rewrite]: #672
-#676 := [monotonicity #673]: #675
-#679 := [monotonicity #676]: #678
-#684 := [trans #679 #682]: #683
-#670 := [asserted]: #107
-#685 := [mp #670 #684]: #680
-#1607 := [unit-resolution #685 #1606 #1605 #1604]: up_42
-#277 := (or #275 #276)
-#1217 := [asserted]: #277
-#1608 := [unit-resolution #1217 #1607 #1603]: false
-#1610 := [lemma #1608]: #1609
-#1699 := [unit-resolution #1610 #1698 #1598 #1597]: up_34
-#1125 := (or #234 #243)
-#247 := (or #243 #234)
-#1127 := (iff #247 #1125)
-#1128 := [rewrite]: #1127
-#1124 := [asserted]: #247
-#1131 := [mp #1124 #1128]: #1125
-#1700 := [unit-resolution #1131 #1699]: #234
-#1130 := (or #202 #243)
-#248 := (or #243 #202)
-#1132 := (iff #248 #1130)
-#1133 := [rewrite]: #1132
-#1129 := [asserted]: #248
-#1136 := [mp #1129 #1133]: #1130
-#1701 := [unit-resolution #1136 #1699]: #202
-#1696 := (or up_12 up_7 up_23 up_16 up_8 up_32 up_31)
-#1684 := [hypothesis]: #234
-#1685 := [unit-resolution #1683 #1457 #1612 #1673]: #194
-#1686 := [unit-resolution #579 #1685 #895 #1684]: up_29
-#1687 := [unit-resolution #1074 #1686]: #186
-#1688 := [unit-resolution #473 #1687 #1627 #1626]: up_18
-#1689 := [unit-resolution #965 #1688]: #193
-#1690 := [unit-resolution #505 #1689 #1457 #1673]: up_22
-#1691 := [unit-resolution #1026 #1690]: #170
-#1692 := [unit-resolution #985 #1688]: #161
-#1693 := [unit-resolution #410 #1692 #1612]: up_9
-#1694 := [unit-resolution #886 #1693]: #165
-#1695 := [unit-resolution #430 #1694 #1691]: false
-#1697 := [lemma #1695]: #1696
-#1702 := [unit-resolution #1697 #1701 #1612 #1627 #1626 #895 #1700]: up_12
-#1703 := [unit-resolution #891 #1702]: #160
-#1704 := [unit-resolution #410 #1703 #1612]: up_10
-#1705 := [unit-resolution #980 #1704]: #194
-#1706 := [unit-resolution #579 #1705 #895 #1700]: up_29
-#1707 := [unit-resolution #985 #1704]: #185
-#1708 := [unit-resolution #473 #1707 #1627 #1626]: up_19
-#1709 := [unit-resolution #1074 #1708 #1706]: false
-#1711 := [lemma #1709]: #1710
-#1712 := [unit-resolution #1711 #1598 #1626 #1612 #1627 #1597]: up_32
-#1234 := (or #235 #276)
-#281 := (or #276 #235)
-#1236 := (iff #281 #1234)
-#1237 := [rewrite]: #1236
-#1233 := [asserted]: #281
-#1240 := [mp #1233 #1237]: #1234
-#1713 := [unit-resolution #1240 #1712]: #276
-#1714 := [unit-resolution #759 #1713 #1598 #1597]: up_53
-#1395 := (or #284 #316)
-#331 := (or #316 #284)
-#1397 := (iff #331 #1395)
-#1398 := [rewrite]: #1397
-#1394 := [asserted]: #331
-#1401 := [mp #1394 #1398]: #1395
-#1715 := [unit-resolution #1401 #1714]: #284
-#1716 := [unit-resolution #1230 #1712]: #275
-#1717 := [unit-resolution #1381 #1714]: #324
-#1718 := [unit-resolution #1516 #1717]: up_46
-#1270 := (or #283 #291)
-#292 := (or #291 #283)
-#1272 := (iff #292 #1270)
-#1273 := [rewrite]: #1272
-#1269 := [asserted]: #292
-#1276 := [mp #1269 #1273]: #1270
-#1719 := [unit-resolution #1276 #1718]: #283
-#1720 := [unit-resolution #685 #1719 #1716 #1715]: up_34
-#1721 := [unit-resolution #1136 #1720]: #202
-#1722 := [unit-resolution #1281 #1718]: #250
-#244 := (or #242 #243)
-#1113 := [asserted]: #244
-#1723 := [unit-resolution #1113 #1720]: #242
-#1724 := [unit-resolution #608 #1723 #1722]: up_24
-#1725 := [unit-resolution #1016 #1724]: #201
-#1726 := [unit-resolution #1021 #1724]: #170
-#1727 := [unit-resolution #430 #1726]: up_11
-#1728 := [unit-resolution #878 #1727]: #166
-#1729 := [unit-resolution #505 #1728 #1725 #1721]: up_20
-#1730 := [unit-resolution #886 #1727]: #160
-#1731 := [unit-resolution #410 #1730 #1612]: up_10
-#1732 := [unit-resolution #970 #1731 #1729]: false
-#1734 := [lemma #1732]: #1733
-#1858 := [unit-resolution #1734 #1627 #1597 #1626 #1612]: up_51
-#310 := (or #308 #309)
-#1321 := [asserted]: #310
-#1859 := [unit-resolution #1321 #1858]: #309
-decl up_58 :: bool
-#139 := up_58
-#337 := (not up_58)
-decl up_49 :: bool
-#115 := up_49
-#300 := (not up_49)
-#1324 := (or #300 #308)
-#311 := (or #308 #300)
-#1325 := (iff #311 #1324)
-#1326 := [rewrite]: #1325
-#1322 := [asserted]: #311
-#1329 := [mp #1322 #1326]: #1324
-#1860 := [unit-resolution #1329 #1858]: #300
-decl up_39 :: bool
-#89 := up_39
-#260 := (not up_39)
-decl up_38 :: bool
-#88 := up_38
-decl up_40 :: bool
-#93 := up_40
-#267 := (not up_40)
-decl up_41 :: bool
-#94 := up_41
-#268 := (not up_41)
-#1328 := (or #268 #308)
-#312 := (or #308 #268)
-#1330 := (iff #312 #1328)
-#1331 := [rewrite]: #1330
-#1327 := [asserted]: #312
-#1334 := [mp #1327 #1331]: #1328
-#1861 := [unit-resolution #1334 #1858]: #268
-#1771 := (or up_32 up_16 up_8 up_41 up_49 up_52 up_7)
-#1735 := [unit-resolution #1281 #1698]: #291
-#1736 := [unit-resolution #1516 #1735]: up_55
-#1737 := [unit-resolution #1386 #1736]: #284
-#1738 := [unit-resolution #1286 #1698]: #283
-#259 := (not up_38)
-decl up_50 :: bool
-#116 := up_50
-#301 := (not up_50)
-#1739 := [hypothesis]: #309
-#341 := (not up_59)
-#326 := (or #324 #325)
-#1373 := [asserted]: #326
-#1740 := [unit-resolution #1373 #1736]: #325
-#834 := (or up_56 up_60)
-decl up_3 :: bool
-#8 := up_3
-#840 := (or up_3 up_56 up_60)
-#1522 := (iff #840 #834)
-#1517 := (or false up_56 up_60)
-#1520 := (iff #1517 #834)
-#1521 := [rewrite]: #1520
-#1518 := (iff #840 #1517)
-#1479 := (iff up_3 false)
-#9 := (not up_3)
-#1482 := (iff #9 #1479)
-#1480 := (iff #1479 #9)
-#1481 := [rewrite]: #1480
-#1483 := [symm #1481]: #1482
-#370 := [asserted]: #9
-#1484 := [mp #370 #1483]: #1479
-#1519 := [monotonicity #1484]: #1518
-#1523 := [trans #1519 #1521]: #1522
-#148 := (or up_60 up_56)
-#149 := (or up_3 #148)
-#843 := (iff #149 #840)
-#837 := (or up_3 #834)
-#841 := (iff #837 #840)
-#842 := [rewrite]: #841
-#838 := (iff #149 #837)
-#835 := (iff #148 #834)
-#836 := [rewrite]: #835
-#839 := [monotonicity #836]: #838
-#844 := [trans #839 #842]: #843
-#833 := [asserted]: #149
-#845 := [mp #833 #844]: #840
-#1524 := [mp #845 #1523]: #834
-#1741 := [unit-resolution #1524 #1740]: up_60
-#1442 := (or #341 #345)
-#346 := (or #345 #341)
-#1444 := (iff #346 #1442)
-#1445 := [rewrite]: #1444
-#1441 := [asserted]: #346
-#1448 := [mp #1441 #1445]: #1442
-#1742 := [unit-resolution #1448 #1741]: #341
-#814 := (or up_52 up_58 up_59)
-#143 := (or up_58 up_52)
-#144 := (or up_59 #143)
-#817 := (iff #144 #814)
-#808 := (or up_52 up_58)
-#811 := (or up_59 #808)
-#815 := (iff #811 #814)
-#816 := [rewrite]: #815
-#812 := (iff #144 #811)
-#809 := (iff #143 #808)
-#810 := [rewrite]: #809
-#813 := [monotonicity #810]: #812
-#818 := [trans #813 #816]: #817
-#807 := [asserted]: #144
-#819 := [mp #807 #818]: #814
-#1743 := [unit-resolution #819 #1742 #1739]: up_58
-#1417 := (or #301 #337)
-#339 := (or #337 #301)
-#1419 := (iff #339 #1417)
-#1420 := [rewrite]: #1419
-#1416 := [asserted]: #339
-#1423 := [mp #1416 #1420]: #1417
-#1744 := [unit-resolution #1423 #1743]: #301
-#1745 := [hypothesis]: #300
-decl up_47 :: bool
-#111 := up_47
-#295 := (not up_47)
-decl up_48 :: bool
-#112 := up_48
-decl up_57 :: bool
-#137 := up_57
-#335 := (not up_57)
-#1412 := (or #335 #337)
-#338 := (or #337 #335)
-#1414 := (iff #338 #1412)
-#1415 := [rewrite]: #1414
-#1411 := [asserted]: #338
-#1418 := [mp #1411 #1415]: #1412
-#1746 := [unit-resolution #1418 #1743]: #335
-#790 := (or up_48 up_57)
-#138 := (or up_57 up_48)
-#791 := (iff #138 #790)
-#792 := [rewrite]: #791
-#789 := [asserted]: #138
-#795 := [mp #789 #792]: #790
-#1747 := [unit-resolution #795 #1746]: up_48
-#296 := (not up_48)
-#297 := (or #295 #296)
-#1284 := [asserted]: #297
-#1748 := [unit-resolution #1284 #1747]: #295
-#722 := (or up_39 up_47 up_49 up_50)
-#117 := (or up_47 up_39)
-#118 := (or up_50 #117)
-#119 := (or up_49 #118)
-#725 := (iff #119 #722)
-#713 := (or up_39 up_47)
-#716 := (or up_50 #713)
-#719 := (or up_49 #716)
-#723 := (iff #719 #722)
-#724 := [rewrite]: #723
-#720 := (iff #119 #719)
-#717 := (iff #118 #716)
-#714 := (iff #117 #713)
-#715 := [rewrite]: #714
-#718 := [monotonicity #715]: #717
-#721 := [monotonicity #718]: #720
-#726 := [trans #721 #724]: #725
-#712 := [asserted]: #119
-#727 := [mp #712 #726]: #722
-#1749 := [unit-resolution #727 #1748 #1745 #1744]: up_39
-#261 := (or #259 #260)
-#1165 := [asserted]: #261
-#1750 := [unit-resolution #1165 #1749]: #259
-#1751 := [hypothesis]: #268
-decl up_30 :: bool
-#67 := up_30
-#227 := (not up_30)
-decl up_27 :: bool
-#61 := up_27
-#213 := (not up_25)
-decl up_37 :: bool
-#85 := up_37
-#255 := (not up_37)
-#1291 := (or #255 #296)
-#299 := (or #296 #255)
-#1293 := (iff #299 #1291)
-#1294 := [rewrite]: #1293
-#1290 := [asserted]: #299
-#1297 := [mp #1290 #1294]: #1291
-#1752 := [unit-resolution #1297 #1747]: #255
-decl up_36 :: bool
-#84 := up_36
-#254 := (not up_36)
-#1177 := (or #254 #260)
-#264 := (or #260 #254)
-#1179 := (iff #264 #1177)
-#1180 := [rewrite]: #1179
-#1176 := [asserted]: #264
-#1183 := [mp #1176 #1180]: #1177
-#1753 := [unit-resolution #1183 #1749]: #254
-#616 := (or up_26 up_36 up_37)
-#86 := (or up_37 up_26)
-#87 := (or up_36 #86)
-#619 := (iff #87 #616)
-#610 := (or up_26 up_37)
-#613 := (or up_36 #610)
-#617 := (iff #613 #616)
-#618 := [rewrite]: #617
-#614 := (iff #87 #613)
-#611 := (iff #86 #610)
-#612 := [rewrite]: #611
-#615 := [monotonicity #612]: #614
-#620 := [trans #615 #618]: #619
-#609 := [asserted]: #87
-#621 := [mp #609 #620]: #616
-#1754 := [unit-resolution #621 #1753 #1752]: up_26
-#215 := (or #213 #214)
-#1024 := [asserted]: #215
-#1755 := [unit-resolution #1024 #1754]: #213
-decl up_28 :: bool
-#62 := up_28
-#219 := (not up_28)
-#1182 := (or #219 #260)
-#265 := (or #260 #219)
-#1184 := (iff #265 #1182)
-#1185 := [rewrite]: #1184
-#1181 := [asserted]: #265
-#1188 := [mp #1181 #1185]: #1182
-#1756 := [unit-resolution #1188 #1749]: #219
-decl up_17 :: bool
-#35 := up_17
-#178 := (not up_17)
-#173 := (not up_15)
-#1031 := (or #173 #214)
-#217 := (or #214 #173)
-#1033 := (iff #217 #1031)
-#1034 := [rewrite]: #1033
-#1030 := [asserted]: #217
-#1037 := [mp #1030 #1034]: #1031
-#1757 := [unit-resolution #1037 #1754]: #173
-#1503 := (or up_14 up_15)
-decl up_2 :: bool
-#6 := up_2
-#436 := (or up_2 up_14 up_15)
-#1506 := (iff #436 #1503)
-#1500 := (or false up_14 up_15)
-#1504 := (iff #1500 #1503)
-#1505 := [rewrite]: #1504
-#1501 := (iff #436 #1500)
-#1473 := (iff up_2 false)
-#7 := (not up_2)
-#1476 := (iff #7 #1473)
-#1474 := (iff #1473 #7)
-#1475 := [rewrite]: #1474
-#1477 := [symm #1475]: #1476
-#369 := [asserted]: #7
-#1478 := [mp #369 #1477]: #1473
-#1502 := [monotonicity #1478]: #1501
-#1507 := [trans #1502 #1505]: #1506
-#32 := (or up_15 up_2)
-#33 := (or up_14 #32)
-#439 := (iff #33 #436)
-#429 := (or up_2 up_15)
-#433 := (or up_14 #429)
-#437 := (iff #433 #436)
-#438 := [rewrite]: #437
-#434 := (iff #33 #433)
-#431 := (iff #32 #429)
-#432 := [rewrite]: #431
-#435 := [monotonicity #432]: #434
-#440 := [trans #435 #438]: #439
-#428 := [asserted]: #33
-#441 := [mp #428 #440]: #436
-#1508 := [mp #441 #1507]: #1503
-#1758 := [unit-resolution #1508 #1757]: up_14
-#917 := (or #172 #178)
-#182 := (or #178 #172)
-#919 := (iff #182 #917)
-#920 := [rewrite]: #919
-#916 := [asserted]: #182
-#923 := [mp #916 #920]: #917
-#1759 := [unit-resolution #923 #1758]: #178
-#542 := (or up_17 up_25 up_27 up_28)
-#63 := (or up_25 up_17)
-#64 := (or up_28 #63)
-#65 := (or up_27 #64)
-#545 := (iff #65 #542)
-#533 := (or up_17 up_25)
-#536 := (or up_28 #533)
-#539 := (or up_27 #536)
-#543 := (iff #539 #542)
-#544 := [rewrite]: #543
-#540 := (iff #65 #539)
-#537 := (iff #64 #536)
-#534 := (iff #63 #533)
-#535 := [rewrite]: #534
-#538 := [monotonicity #535]: #537
-#541 := [monotonicity #538]: #540
-#546 := [trans #541 #544]: #545
-#532 := [asserted]: #65
-#547 := [mp #532 #546]: #542
-#1760 := [unit-resolution #547 #1759 #1756 #1755]: up_27
-#218 := (not up_27)
-#1073 := (or #218 #227)
-#231 := (or #227 #218)
-#1075 := (iff #231 #1073)
-#1076 := [rewrite]: #1075
-#1072 := [asserted]: #231
-#1079 := [mp #1072 #1076]: #1073
-#1761 := [unit-resolution #1079 #1760]: #227
-#648 := (or up_30 up_38 up_40 up_41)
-#95 := (or up_38 up_30)
-#96 := (or up_41 #95)
-#97 := (or up_40 #96)
-#651 := (iff #97 #648)
-#639 := (or up_30 up_38)
-#642 := (or up_41 #639)
-#645 := (or up_40 #642)
-#649 := (iff #645 #648)
-#650 := [rewrite]: #649
-#646 := (iff #97 #645)
-#643 := (iff #96 #642)
-#640 := (iff #95 #639)
-#641 := [rewrite]: #640
-#644 := [monotonicity #641]: #643
-#647 := [monotonicity #644]: #646
-#652 := [trans #647 #650]: #651
-#638 := [asserted]: #97
-#653 := [mp #638 #652]: #648
-#1762 := [unit-resolution #653 #1761 #1751 #1750]: up_40
-#1220 := (or #267 #275)
-#278 := (or #275 #267)
-#1221 := (iff #278 #1220)
-#1222 := [rewrite]: #1221
-#1218 := [asserted]: #278
-#1225 := [mp #1218 #1222]: #1220
-#1763 := [unit-resolution #1225 #1762]: #275
-#1764 := [unit-resolution #685 #1763 #1738 #1737]: up_34
-#1064 := (or #218 #226)
-#229 := (or #226 #218)
-#1065 := (iff #229 #1064)
-#1066 := [rewrite]: #1065
-#1062 := [asserted]: #229
-#1069 := [mp #1062 #1066]: #1064
-#1765 := [unit-resolution #1069 #1760]: #226
-#1083 := (or #186 #218)
-#233 := (or #218 #186)
-#1085 := (iff #233 #1083)
-#1086 := [rewrite]: #1085
-#1082 := [asserted]: #233
-#1089 := [mp #1082 #1086]: #1083
-#1766 := [unit-resolution #1089 #1760]: #186
-#1767 := [unit-resolution #473 #1766 #1627 #1626]: up_18
-#969 := (or #185 #194)
-#198 := (or #194 #185)
-#971 := (iff #198 #969)
-#972 := [rewrite]: #971
-#968 := [asserted]: #198
-#975 := [mp #968 #972]: #969
-#1768 := [unit-resolution #975 #1767]: #194
-#1769 := [unit-resolution #579 #1768 #895 #1765]: up_31
-#1770 := [unit-resolution #1131 #1769 #1764]: false
-#1772 := [lemma #1770]: #1771
-#1862 := [unit-resolution #1772 #1627 #1626 #1861 #1860 #1859 #1612]: up_32
-#1239 := (or #235 #267)
-#282 := (or #267 #235)
-#1241 := (iff #282 #1239)
-#1242 := [rewrite]: #1241
-#1238 := [asserted]: #282
-#1245 := [mp #1238 #1242]: #1239
-#1863 := [unit-resolution #1245 #1862]: #267
-#1856 := (or up_12 up_52 up_49 up_41 up_16 up_8 up_7)
-#1828 := [unit-resolution #1772 #1627 #1626 #1751 #1745 #1739 #1612]: up_32
-#1829 := [unit-resolution #1245 #1828]: #267
-#1830 := [unit-resolution #1230 #1828]: #275
-#1826 := (or #170 up_41 up_40 up_16 up_8 up_49 up_12 up_52 up_42)
-#1804 := [hypothesis]: up_13
-#1805 := [unit-resolution #1026 #1804]: #201
-#1806 := [unit-resolution #1021 #1804]: #209
-#1798 := [hypothesis]: #275
-#1782 := [hypothesis]: #267
-#1802 := (or #242 up_42 up_52 up_49 up_41 up_40 up_16 up_8 up_12 up_22)
-#1783 := [hypothesis]: up_33
-#1784 := [unit-resolution #1126 #1783]: #202
-#1785 := [unit-resolution #505 #1784 #1457 #1456]: up_20
-#1786 := [unit-resolution #965 #1785]: #185
-#1787 := [unit-resolution #473 #1786 #1627 #1626]: up_19
-#1078 := (or #186 #227)
-#232 := (or #227 #186)
-#1080 := (iff #232 #1078)
-#1081 := [rewrite]: #1080
-#1077 := [asserted]: #232
-#1084 := [mp #1077 #1081]: #1078
-#1788 := [unit-resolution #1084 #1787]: #227
-#1789 := [unit-resolution #653 #1788 #1751 #1782]: up_38
-#1790 := [unit-resolution #1165 #1789]: #260
-#1780 := (or #337 up_49 up_39)
-#1773 := [hypothesis]: up_58
-#1774 := [unit-resolution #1418 #1773]: #335
-#1775 := [unit-resolution #795 #1774]: up_48
-#1776 := [hypothesis]: #260
-#1777 := [unit-resolution #1423 #1773]: #301
-#1778 := [unit-resolution #727 #1777 #1745 #1776]: up_47
-#1779 := [unit-resolution #1284 #1778 #1775]: false
-#1781 := [lemma #1779]: #1780
-#1791 := [unit-resolution #1781 #1790 #1745]: #337
-#1792 := [unit-resolution #819 #1791 #1739]: up_59
-#1793 := [unit-resolution #1448 #1792]: #345
-#1794 := [unit-resolution #1524 #1793]: up_56
-#1795 := [unit-resolution #1373 #1794]: #324
-#1796 := [unit-resolution #1516 #1795]: up_46
-#1797 := [unit-resolution #1113 #1783]: #243
-#1390 := (or #284 #325)
-#330 := (or #325 #284)
-#1392 := (iff #330 #1390)
-#1393 := [rewrite]: #1392
-#1389 := [asserted]: #330
-#1396 := [mp #1389 #1393]: #1390
-#1799 := [unit-resolution #1396 #1794]: #284
-#1800 := [unit-resolution #685 #1799 #1798 #1797]: up_44
-#1801 := [unit-resolution #1276 #1800 #1796]: false
-#1803 := [lemma #1801]: #1802
-#1807 := [unit-resolution #1803 #1805 #1739 #1745 #1751 #1782 #1627 #1626 #1457 #1798]: #242
-#1808 := [unit-resolution #608 #1807 #1806]: up_35
-#1809 := [unit-resolution #1286 #1808]: #283
-#1810 := [unit-resolution #1281 #1808]: #291
-#1811 := [unit-resolution #1516 #1810]: up_55
-#1812 := [unit-resolution #1386 #1811]: #284
-#1813 := [unit-resolution #685 #1812 #1798 #1809]: up_34
-#1814 := [unit-resolution #1136 #1813]: #202
-#1815 := [unit-resolution #505 #1814 #1457 #1805]: up_20
-#1816 := [unit-resolution #965 #1815]: #185
-#1817 := [unit-resolution #473 #1816 #1627 #1626]: up_19
-#1818 := [unit-resolution #1373 #1811]: #325
-#1819 := [unit-resolution #1524 #1818]: up_60
-#1820 := [unit-resolution #1448 #1819]: #341
-#1821 := [unit-resolution #819 #1820 #1739]: up_58
-#1822 := [unit-resolution #1781 #1821 #1745]: up_39
-#1823 := [unit-resolution #1165 #1822]: #259
-#1824 := [unit-resolution #653 #1823 #1751 #1782]: up_30
-#1825 := [unit-resolution #1084 #1824 #1817]: false
-#1827 := [lemma #1825]: #1826
-#1831 := [unit-resolution #1827 #1457 #1829 #1627 #1626 #1745 #1751 #1739 #1830]: #170
-#1832 := [unit-resolution #430 #1831]: up_11
-#1833 := [unit-resolution #886 #1832]: #160
-#1834 := [unit-resolution #410 #1833 #1612]: up_10
-#1835 := [unit-resolution #985 #1834]: #185
-#1836 := [unit-resolution #473 #1835 #1627 #1626]: up_19
-#1837 := [unit-resolution #1084 #1836]: #227
-#1838 := [unit-resolution #653 #1837 #1751 #1829]: up_38
-#1839 := [unit-resolution #1165 #1838]: #260
-#1840 := [unit-resolution #1781 #1839 #1745]: #337
-#1841 := [unit-resolution #819 #1840 #1739]: up_59
-#1842 := [unit-resolution #1448 #1841]: #345
-#1843 := [unit-resolution #1524 #1842]: up_56
-#1844 := [unit-resolution #1373 #1843]: #324
-#1845 := [unit-resolution #1516 #1844]: up_46
-#1846 := [unit-resolution #1281 #1845]: #250
-#1847 := [unit-resolution #1396 #1843]: #284
-#1848 := [unit-resolution #1276 #1845]: #283
-#1849 := [unit-resolution #685 #1848 #1830 #1847]: up_34
-#1850 := [unit-resolution #1113 #1849]: #242
-#1851 := [unit-resolution #608 #1850 #1846]: up_24
-#1852 := [unit-resolution #970 #1834]: #193
-#1853 := [unit-resolution #1136 #1849]: #202
-#1854 := [unit-resolution #505 #1853 #1457 #1852]: up_22
-#1855 := [unit-resolution #1016 #1854 #1851]: false
-#1857 := [lemma #1855]: #1856
-#1864 := [unit-resolution #1857 #1859 #1860 #1861 #1627 #1626 #1612]: up_12
-#1865 := [unit-resolution #891 #1864]: #160
-#1866 := [unit-resolution #410 #1865 #1612]: up_10
-#1867 := [unit-resolution #985 #1866]: #185
-#1868 := [unit-resolution #473 #1867 #1627 #1626]: up_19
-#1869 := [unit-resolution #1084 #1868]: #227
-#1870 := [unit-resolution #653 #1869 #1861 #1863]: up_38
-#1871 := [unit-resolution #1165 #1870]: #260
-#1872 := [unit-resolution #1781 #1871 #1860]: #337
-#1873 := [unit-resolution #819 #1872 #1859]: up_59
-#1874 := [unit-resolution #1448 #1873]: #345
-#1875 := [unit-resolution #1524 #1874]: up_56
-#1876 := [unit-resolution #1396 #1875]: #284
-#1877 := [unit-resolution #1230 #1862]: #275
-#1878 := [unit-resolution #1373 #1875]: #324
-#1879 := [unit-resolution #1516 #1878]: up_46
-#1880 := [unit-resolution #1276 #1879]: #283
-#1881 := [unit-resolution #685 #1880 #1877 #1876]: up_34
-#1882 := [unit-resolution #878 #1864]: #165
-#1883 := [unit-resolution #430 #1882]: up_13
-#1884 := [unit-resolution #1021 #1883]: #209
-#1885 := [unit-resolution #1281 #1879]: #250
-#1886 := [unit-resolution #608 #1885 #1884]: up_33
-#1887 := [unit-resolution #1113 #1886 #1881]: false
-#1889 := [lemma #1887]: #1888
-#2026 := [unit-resolution #1889 #1597 #1612 #1626]: up_16
-#908 := (or #172 #177)
-#180 := (or #177 #172)
-#909 := (iff #180 #908)
-#910 := [rewrite]: #909
-#906 := [asserted]: #180
-#913 := [mp #906 #910]: #908
-#2027 := [unit-resolution #913 #2026]: #172
-#2028 := [unit-resolution #1508 #2027]: up_15
-#2029 := [unit-resolution #1037 #2028]: #214
-#1027 := (or #173 #213)
-#216 := (or #213 #173)
-#1028 := (iff #216 #1027)
-#1029 := [rewrite]: #1028
-#1025 := [asserted]: #216
-#1032 := [mp #1025 #1029]: #1027
-#2030 := [unit-resolution #1032 #2028]: #213
-#179 := (or #177 #178)
-#905 := [asserted]: #179
-#2031 := [unit-resolution #905 #2026]: #178
-#1917 := (or #226 up_54 up_26 up_17 up_25)
-#1890 := [hypothesis]: #214
-#1891 := [hypothesis]: #213
-#1892 := [hypothesis]: #178
-#1893 := [hypothesis]: up_29
-#1894 := [unit-resolution #1069 #1893]: #218
-#1895 := [unit-resolution #547 #1894 #1892 #1891]: up_28
-#1187 := (or #219 #254)
-#266 := (or #254 #219)
-#1189 := (iff #266 #1187)
-#1190 := [rewrite]: #1189
-#1186 := [asserted]: #266
-#1193 := [mp #1186 #1190]: #1187
-#1896 := [unit-resolution #1193 #1895]: #254
-#1897 := [unit-resolution #621 #1896 #1890]: up_37
-#1898 := [unit-resolution #1297 #1897]: #296
-#1899 := [unit-resolution #795 #1898]: up_57
-#1900 := [unit-resolution #1418 #1899]: #337
-#1901 := [unit-resolution #1188 #1895]: #260
-#1287 := (or #255 #295)
-#298 := (or #295 #255)
-#1288 := (iff #298 #1287)
-#1289 := [rewrite]: #1288
-#1285 := [asserted]: #298
-#1292 := [mp #1285 #1289]: #1287
-#1902 := [unit-resolution #1292 #1897]: #295
-#1422 := (or #301 #335)
-#340 := (or #335 #301)
-#1424 := (iff #340 #1422)
-#1425 := [rewrite]: #1424
-#1421 := [asserted]: #340
-#1428 := [mp #1421 #1425]: #1422
-#1903 := [unit-resolution #1428 #1899]: #301
-#1904 := [unit-resolution #727 #1903 #1902 #1901]: up_49
-#1333 := (or #300 #309)
-#313 := (or #309 #300)
-#1335 := (iff #313 #1333)
-#1336 := [rewrite]: #1335
-#1332 := [asserted]: #313
-#1339 := [mp #1332 #1336]: #1333
-#1905 := [unit-resolution #1339 #1904]: #309
-#1906 := [unit-resolution #819 #1905 #1900]: up_59
-#1907 := [unit-resolution #1448 #1906]: #345
-#1908 := [unit-resolution #1524 #1907]: up_56
-#1909 := [unit-resolution #1329 #1904]: #308
-#1172 := (or #219 #259)
-#263 := (or #259 #219)
-#1174 := (iff #263 #1172)
-#1175 := [rewrite]: #1174
-#1171 := [asserted]: #263
-#1178 := [mp #1171 #1175]: #1172
-#1910 := [unit-resolution #1178 #1895]: #259
-#228 := (or #226 #227)
-#1061 := [asserted]: #228
-#1911 := [unit-resolution #1061 #1893]: #227
-#1343 := (or #268 #300)
-#315 := (or #300 #268)
-#1345 := (iff #315 #1343)
-#1346 := [rewrite]: #1345
-#1342 := [asserted]: #315
-#1349 := [mp #1342 #1346]: #1343
-#1912 := [unit-resolution #1349 #1904]: #268
-#1913 := [unit-resolution #653 #1912 #1911 #1910]: up_40
-#1229 := (or #267 #276)
-#280 := (or #276 #267)
-#1231 := (iff #280 #1229)
-#1232 := [rewrite]: #1231
-#1228 := [asserted]: #280
-#1235 := [mp #1228 #1232]: #1229
-#1914 := [unit-resolution #1235 #1913]: #276
-#1915 := [unit-resolution #759 #1914 #1909 #1597]: up_53
-#1385 := (or #316 #325)
-#329 := (or #325 #316)
-#1387 := (iff #329 #1385)
-#1388 := [rewrite]: #1387
-#1384 := [asserted]: #329
-#1391 := [mp #1384 #1388]: #1385
-#1916 := [unit-resolution #1391 #1915 #1908]: false
-#1918 := [lemma #1916]: #1917
-#2032 := [unit-resolution #1918 #1597 #2029 #2031 #2030]: #226
-#2010 := (or up_12 up_29 up_7 up_54 up_26)
-#1993 := (or up_35 up_12 up_54 up_26 up_29 up_7)
-#1955 := (or #170 up_54 up_26 up_29 up_12 up_35 up_7)
-#1940 := [unit-resolution #1625 #1805 #907 #1457 #1611 #1612]: up_32
-#1941 := [unit-resolution #1240 #1940]: #276
-#1942 := [unit-resolution #1230 #1940]: #275
-#1943 := [unit-resolution #608 #1806 #1611]: up_33
-#1944 := [unit-resolution #1113 #1943]: #243
-#1925 := (or #325 up_34 up_42)
-#1919 := [hypothesis]: up_56
-#1920 := [unit-resolution #1373 #1919]: #324
-#1921 := [unit-resolution #1516 #1920]: up_46
-#1922 := [unit-resolution #1396 #1919]: #284
-#1923 := [unit-resolution #685 #1922 #1605 #1798]: up_44
-#1924 := [unit-resolution #1276 #1923 #1921]: false
-#1926 := [lemma #1924]: #1925
-#1945 := [unit-resolution #1926 #1944 #1942]: #325
-#1946 := [unit-resolution #1524 #1945]: up_60
-#1947 := [unit-resolution #1448 #1946]: #341
-#1938 := (or #308 up_26 up_59)
-#1927 := [hypothesis]: up_51
-#1928 := [unit-resolution #1329 #1927]: #300
-#1929 := [hypothesis]: #341
-#1930 := [unit-resolution #1321 #1927]: #309
-#1931 := [unit-resolution #819 #1930 #1929]: up_58
-#1932 := [unit-resolution #1781 #1931 #1928]: up_39
-#1933 := [unit-resolution #1183 #1932]: #254
-#1934 := [unit-resolution #1418 #1931]: #335
-#1935 := [unit-resolution #795 #1934]: up_48
-#1936 := [unit-resolution #1297 #1935]: #255
-#1937 := [unit-resolution #621 #1936 #1933 #1890]: false
-#1939 := [lemma #1937]: #1938
-#1948 := [unit-resolution #1939 #1947 #1890]: #308
-#1949 := [unit-resolution #759 #1948 #1941 #1597]: up_53
-#1950 := [unit-resolution #1381 #1949]: #324
-#1951 := [unit-resolution #1516 #1950]: up_46
-#1952 := [unit-resolution #1401 #1949]: #284
-#1953 := [unit-resolution #685 #1952 #1944 #1942]: up_44
-#1954 := [unit-resolution #1276 #1953 #1951]: false
-#1956 := [lemma #1954]: #1955
-#1980 := [unit-resolution #1956 #1611 #1890 #907 #1457 #1597 #1612]: #170
-#1981 := [unit-resolution #430 #1980]: up_11
-#1982 := [unit-resolution #886 #1981]: #160
-#1983 := [unit-resolution #410 #1982 #1612]: up_10
-#1984 := [unit-resolution #980 #1983]: #194
-#1985 := [unit-resolution #1979 #1611 #907 #1984 #1457 #1612]: up_32
-#1970 := (or #235 up_34 up_54 up_26)
-#1957 := [hypothesis]: up_32
-#1958 := [unit-resolution #1240 #1957]: #276
-#1959 := [unit-resolution #1230 #1957]: #275
-#1960 := [unit-resolution #1926 #1959 #1605]: #325
-#1961 := [unit-resolution #1524 #1960]: up_60
-#1962 := [unit-resolution #1448 #1961]: #341
-#1963 := [unit-resolution #1939 #1962 #1890]: #308
-#1964 := [unit-resolution #759 #1963 #1958 #1597]: up_53
-#1965 := [unit-resolution #1381 #1964]: #324
-#1966 := [unit-resolution #1516 #1965]: up_46
-#1967 := [unit-resolution #1401 #1964]: #284
-#1968 := [unit-resolution #685 #1967 #1605 #1959]: up_44
-#1969 := [unit-resolution #1276 #1968 #1966]: false
-#1971 := [lemma #1969]: #1970
-#1986 := [unit-resolution #1971 #1985 #1597 #1890]: up_34
-#1987 := [unit-resolution #1113 #1986]: #242
-#1988 := [unit-resolution #608 #1987 #1611]: up_24
-#1989 := [unit-resolution #970 #1983]: #193
-#1990 := [unit-resolution #1136 #1986]: #202
-#1991 := [unit-resolution #505 #1990 #1457 #1989]: up_22
-#1992 := [unit-resolution #1016 #1991 #1988]: false
-#1994 := [lemma #1992]: #1993
-#1995 := [unit-resolution #1994 #1457 #1597 #1890 #907 #1612]: up_35
-#1996 := [unit-resolution #1281 #1995]: #291
-#1997 := [unit-resolution #1516 #1996]: up_55
-#1998 := [unit-resolution #1373 #1997]: #325
-#1999 := [unit-resolution #1524 #1998]: up_60
-#2000 := [unit-resolution #1448 #1999]: #341
-#2001 := [unit-resolution #1939 #2000 #1890]: #308
-#2002 := [unit-resolution #1610 #2001 #1995 #1597]: up_34
-#2003 := [unit-resolution #1131 #2002]: #234
-#2004 := [unit-resolution #1381 #1997]: #316
-#2005 := [unit-resolution #759 #2001 #2004 #1597]: up_43
-#2006 := [unit-resolution #1240 #2005]: #235
-#2007 := [unit-resolution #1136 #2002]: #202
-#2008 := [unit-resolution #1683 #2007 #1612 #1457]: #194
-#2009 := [unit-resolution #579 #2008 #2006 #907 #2003]: false
-#2011 := [lemma #2009]: #2010
-#2033 := [unit-resolution #2011 #2032 #1612 #1597 #2029]: up_12
-#2034 := [unit-resolution #891 #2033]: #160
-#2035 := [unit-resolution #410 #2034 #1612]: up_10
-#2036 := [unit-resolution #980 #2035]: #194
-#2037 := [unit-resolution #878 #2033]: #165
-#2038 := [unit-resolution #430 #2037]: up_13
-#2039 := [unit-resolution #1021 #2038]: #209
-#2024 := (or #234 up_26 up_54 up_24)
-#2012 := [hypothesis]: #209
-#2013 := [hypothesis]: up_31
-#2014 := [unit-resolution #1121 #2013]: #242
-#2015 := [unit-resolution #608 #2014 #2012]: up_35
-#2016 := [unit-resolution #1131 #2013]: #243
-#2017 := [unit-resolution #1610 #2016 #2015 #1597]: up_51
-#2018 := [unit-resolution #1939 #2017 #1890]: up_59
-#2019 := [unit-resolution #1448 #2018]: #345
-#2020 := [unit-resolution #1281 #2015]: #291
-#2021 := [unit-resolution #1516 #2020]: up_55
-#2022 := [unit-resolution #1373 #2021]: #325
-#2023 := [unit-resolution #1524 #2022 #2019]: false
-#2025 := [lemma #2023]: #2024
-#2040 := [unit-resolution #2025 #2029 #1597 #2039]: #234
-#2041 := [unit-resolution #579 #2040 #2032 #2036]: up_32
-#2042 := [unit-resolution #1240 #2041]: #276
-#2043 := [unit-resolution #1971 #2041 #1597 #2029]: up_34
-#2044 := [unit-resolution #1113 #2043]: #242
-#2045 := [unit-resolution #608 #2044 #2039]: up_35
-#2046 := [unit-resolution #1281 #2045]: #291
-#2047 := [unit-resolution #1516 #2046]: up_55
-#2048 := [unit-resolution #1381 #2047]: #316
-#2049 := [unit-resolution #759 #2048 #2042 #1597]: up_51
-#2050 := [unit-resolution #1373 #2047]: #325
-#2051 := [unit-resolution #1524 #2050]: up_60
-#2052 := [unit-resolution #1448 #2051]: #341
-#2053 := [unit-resolution #1939 #2052 #2049 #2029]: false
-#2055 := [lemma #2053]: #2054
-#2065 := [unit-resolution #2055 #1612 #1626]: up_54
-#1447 := (or #317 #345)
-#347 := (or #345 #317)
-#1449 := (iff #347 #1447)
-#1450 := [rewrite]: #1449
-#1446 := [asserted]: #347
-#1453 := [mp #1446 #1450]: #1447
-#2066 := [unit-resolution #1453 #2065]: #345
-#2067 := [unit-resolution #1524 #2066]: up_56
-#2083 := (or #275 up_7 up_12 up_8)
-#2063 := [hypothesis]: up_42
-#2064 := [unit-resolution #1230 #2063]: #235
-#2068 := [unit-resolution #1373 #2067]: #324
-#2069 := [unit-resolution #1516 #2068]: up_46
-#2070 := [unit-resolution #1281 #2069]: #250
-#2071 := [unit-resolution #1672 #2064 #1626 #2070 #1612]: up_16
-#2072 := [unit-resolution #913 #2071]: #172
-#2073 := [unit-resolution #1508 #2072]: up_15
-#2074 := [unit-resolution #1032 #2073]: #213
-#2075 := [unit-resolution #905 #2071]: #178
-#1452 := (or #317 #341)
-#348 := (or #341 #317)
-#1454 := (iff #348 #1452)
-#1455 := [rewrite]: #1454
-#1451 := [asserted]: #348
-#1458 := [mp #1451 #1455]: #1452
-#2076 := [unit-resolution #1458 #2065]: #341
-#2077 := [unit-resolution #1225 #2063]: #267
-#2061 := (or #226 up_59 up_40 up_17 up_25)
-#2056 := [unit-resolution #653 #1910 #1782 #1911]: up_41
-#2057 := [unit-resolution #1349 #2056]: #300
-#1338 := (or #268 #309)
-#314 := (or #309 #268)
-#1340 := (iff #314 #1338)
-#1341 := [rewrite]: #1340
-#1337 := [asserted]: #314
-#1344 := [mp #1337 #1341]: #1338
-#2058 := [unit-resolution #1344 #2056]: #309
-#2059 := [unit-resolution #819 #2058 #1929]: up_58
-#2060 := [unit-resolution #1781 #2059 #2057 #1901]: false
-#2062 := [lemma #2060]: #2061
-#2078 := [unit-resolution #2062 #2077 #2076 #2075 #2074]: #226
-#2079 := [unit-resolution #1625 #2078 #2070 #1457 #2064 #1612]: up_22
-#2080 := [unit-resolution #1979 #2078 #2070 #1457 #2064 #1612]: up_21
-#2081 := [unit-resolution #1683 #2080 #1612 #1457]: up_23
-#2082 := [unit-resolution #983 #2081 #2079]: false
-#2084 := [lemma #2082]: #2083
-#2085 := [unit-resolution #2084 #1457 #1612 #1626]: #275
-#2086 := [unit-resolution #1926 #2085 #2067]: up_34
-#2087 := [unit-resolution #1136 #2086]: #202
-#2088 := [unit-resolution #1113 #2086]: #242
-#2089 := [unit-resolution #608 #2088 #2070]: up_24
-#2090 := [unit-resolution #1016 #2089]: #201
-#2091 := [unit-resolution #505 #2090 #1457 #2087]: up_20
-#2092 := [unit-resolution #970 #2091]: #161
-#2093 := [unit-resolution #1021 #2089]: #170
-#2094 := [unit-resolution #430 #2093]: up_11
-#2095 := [unit-resolution #886 #2094]: #160
-#2096 := [unit-resolution #410 #2095 #2092 #1612]: false
-#2098 := [lemma #2096]: #2097
-#2102 := [unit-resolution #2098 #2100 #2101]: up_12
-#2103 := [unit-resolution #891 #2102]: #160
-#2104 := [unit-resolution #410 #2103 #2100]: up_10
-#2105 := [unit-resolution #980 #2104]: #194
-#2106 := [unit-resolution #2055 #2100 #2101]: up_54
-#2107 := [unit-resolution #1453 #2106]: #345
-#2108 := [unit-resolution #1524 #2107]: up_56
-#2109 := [unit-resolution #1373 #2108]: #324
-#2110 := [unit-resolution #1516 #2109]: up_46
-#2111 := [unit-resolution #1281 #2110]: #250
-#2112 := [unit-resolution #878 #2102]: #165
-#2113 := [unit-resolution #430 #2112]: up_13
-#2114 := [unit-resolution #1021 #2113]: #209
-#2115 := [unit-resolution #608 #2114 #2111]: up_33
-#2116 := [unit-resolution #1121 #2115]: #234
-#2117 := [unit-resolution #1276 #2110]: #283
-#2118 := [unit-resolution #1396 #2108]: #284
-#2119 := [unit-resolution #1113 #2115]: #243
-#2120 := [unit-resolution #685 #2119 #2118 #2117]: up_42
-#2121 := [unit-resolution #1230 #2120]: #235
-#2122 := [unit-resolution #579 #2121 #2116 #2105]: up_29
-#2123 := [unit-resolution #1225 #2120]: #267
-#2124 := [unit-resolution #1458 #2106]: #341
-#2125 := [unit-resolution #1672 #2121 #2101 #2111 #2100]: up_16
-#2126 := [unit-resolution #905 #2125]: #178
-#2127 := [unit-resolution #2062 #2126 #2124 #2123 #2122]: up_25
-#2128 := [unit-resolution #913 #2125]: #172
-#2129 := [unit-resolution #1508 #2128]: up_15
-#2130 := [unit-resolution #1032 #2129 #2127]: false
-#2131 := [lemma #2130]: #150
-#1494 := (or up_5 up_6)
-decl up_1 :: bool
-#4 := up_1
-#379 := (or up_1 up_5 up_6)
-#1497 := (iff #379 #1494)
-#1491 := (or false up_5 up_6)
-#1495 := (iff #1491 #1494)
-#1496 := [rewrite]: #1495
-#1492 := (iff #379 #1491)
-#1467 := (iff up_1 false)
-#5 := (not up_1)
-#1470 := (iff #5 #1467)
-#1463 := (iff #1467 #5)
-#1468 := [rewrite]: #1463
-#1471 := [symm #1468]: #1470
-#368 := [asserted]: #5
-#1472 := [mp #368 #1471]: #1467
-#1493 := [monotonicity #1472]: #1492
-#1498 := [trans #1493 #1496]: #1497
-#14 := (or up_6 up_1)
-#15 := (or up_5 #14)
-#382 := (iff #15 #379)
-#373 := (or up_1 up_6)
-#376 := (or up_5 #373)
-#380 := (iff #376 #379)
-#381 := [rewrite]: #380
-#377 := (iff #15 #376)
-#374 := (iff #14 #373)
-#375 := [rewrite]: #374
-#378 := [monotonicity #375]: #377
-#383 := [trans #378 #381]: #382
-#372 := [asserted]: #15
-#384 := [mp #372 #383]: #379
-#1499 := [mp #384 #1498]: #1494
-#2138 := [unit-resolution #1499 #2131]: up_6
-#151 := (not up_6)
-#927 := (or #151 #172)
-#184 := (or #172 #151)
-#929 := (iff #184 #927)
-#930 := [rewrite]: #929
-#926 := [asserted]: #184
-#933 := [mp #926 #930]: #927
-#2139 := [unit-resolution #933 #2138]: #172
-#2140 := [unit-resolution #1508 #2139]: up_15
-#2147 := [unit-resolution #1037 #2140]: #214
-#2159 := [unit-resolution #2011 #2147]: #2158
-#2160 := [unit-resolution #2159 #907 #1612 #1457]: up_54
-#2161 := [unit-resolution #1453 #2160]: #345
-#2162 := [unit-resolution #1524 #2161]: up_56
-#2163 := [unit-resolution #1926 #2162 #2157 #1605]: false
-#2165 := [lemma #2163]: #2164
-#2166 := [unit-resolution #2165 #1605 #1612 #1611 #1457]: up_29
-#2148 := (or #226 up_54)
-#2141 := [unit-resolution #1032 #2140]: #213
-#922 := (or #151 #178)
-#183 := (or #178 #151)
-#924 := (iff #183 #922)
-#925 := [rewrite]: #924
-#921 := [asserted]: #183
-#928 := [mp #921 #925]: #922
-#2142 := [unit-resolution #928 #2138]: #178
-#2149 := [unit-resolution #1918 #2147 #2142 #2141]: #2148
-#2167 := [unit-resolution #2149 #2166]: up_54
-#2154 := (or #226 up_34 up_59)
-#2143 := (or #226 up_59 up_40)
-#2144 := [unit-resolution #2062 #2142 #2141]: #2143
-#2145 := [unit-resolution #2144 #1893 #1929]: up_40
-#2146 := [unit-resolution #1225 #2145]: #275
-#2150 := [unit-resolution #2149 #1893]: up_54
-#2151 := [unit-resolution #1453 #2150]: #345
-#2152 := [unit-resolution #1524 #2151]: up_56
-#2153 := [unit-resolution #1926 #2152 #2146 #1605]: false
-#2155 := [lemma #2153]: #2154
-#2168 := [unit-resolution #2155 #2166 #1605]: up_59
-#2169 := [unit-resolution #1458 #2168 #2167]: false
-#2171 := [lemma #2169]: #2170
-#2172 := [unit-resolution #2171 #1612 #1611 #1457]: up_34
-#2173 := [unit-resolution #1136 #2172]: #202
-#2174 := [unit-resolution #1113 #2172]: #242
-#2175 := [unit-resolution #608 #2174 #1611]: up_24
-#2176 := [unit-resolution #1016 #2175]: #201
-#2177 := [unit-resolution #505 #2176 #1457 #2173]: up_20
-#2178 := [unit-resolution #970 #2177]: #161
-#2179 := [unit-resolution #1021 #2175]: #170
-#2180 := [unit-resolution #430 #2179]: up_11
-#2181 := [unit-resolution #886 #2180]: #160
-#2182 := [unit-resolution #410 #2181 #2178 #1612]: false
-#2184 := [lemma #2182]: #2183
-#2235 := [unit-resolution #2184 #1457 #1611]: up_7
-#157 := (or #155 #156)
-#856 := [asserted]: #157
-#2236 := [unit-resolution #856 #2235]: #156
-#2299 := (or up_34 up_35 up_12)
-#2283 := (or #186 up_34)
-#2185 := [hypothesis]: up_19
-#2191 := [unit-resolution #1084 #2185]: #227
-#2186 := [unit-resolution #1089 #2185]: #218
-#2187 := (or up_27 up_28)
-#2188 := [unit-resolution #547 #2142 #2141]: #2187
-#2189 := [unit-resolution #2188 #2186]: up_28
-#2192 := [unit-resolution #1178 #2189]: #259
-#2265 := [unit-resolution #1193 #2189]: #254
-#2266 := (or up_36 up_37)
-#2267 := [unit-resolution #621 #2147]: #2266
-#2268 := [unit-resolution #2267 #2265]: up_37
-#2269 := [unit-resolution #1292 #2268]: #295
-#2190 := [unit-resolution #1188 #2189]: #260
-#2270 := [unit-resolution #1297 #2268]: #296
-#2271 := [unit-resolution #795 #2270]: up_57
-#2272 := [unit-resolution #1428 #2271]: #301
-#2273 := [unit-resolution #727 #2272 #2190 #2269]: up_49
-#2274 := [unit-resolution #1349 #2273]: #268
-#2275 := [unit-resolution #653 #2274 #2192 #2191]: up_40
-#2276 := [unit-resolution #1225 #2275]: #275
-#2277 := [unit-resolution #1418 #2271]: #337
-#2278 := [unit-resolution #1339 #2273]: #309
-#2279 := [unit-resolution #819 #2278 #2277]: up_59
-#2280 := [unit-resolution #1448 #2279]: #345
-#2281 := [unit-resolution #1524 #2280]: up_56
-#2282 := [unit-resolution #1926 #2281 #2276 #1605]: false
-#2284 := [lemma #2282]: #2283
-#2292 := [unit-resolution #2284 #1605]: #186
-#2223 := (or up_8 up_18 up_19)
-#912 := (or #151 #177)
-#181 := (or #177 #151)
-#914 := (iff #181 #912)
-#915 := [rewrite]: #914
-#911 := [asserted]: #181
-#918 := [mp #911 #915]: #912
-#2222 := [unit-resolution #918 #2138]: #177
-#2224 := [unit-resolution #473 #2222]: #2223
-#2293 := [unit-resolution #2224 #2292 #2236]: up_18
-#2257 := (or #235 up_34)
-#2252 := (or #235 up_34 up_54)
-#2253 := [unit-resolution #1971 #2147]: #2252
-#2254 := [unit-resolution #2253 #1957 #1605]: up_54
-#2255 := [unit-resolution #1453 #2254]: #345
-#2256 := [unit-resolution #1524 #2255 #1960]: false
-#2258 := [lemma #2256]: #2257
-#2294 := [unit-resolution #2258 #1605]: #235
-#2290 := (or up_29 up_35 up_32 up_12 #185)
-#2200 := [hypothesis]: up_18
-#2206 := (or #185 up_29 up_32 up_12 up_22)
-#2201 := [unit-resolution #965 #2200]: #193
-#2202 := [unit-resolution #505 #2201 #1457 #1456]: up_23
-#2203 := [unit-resolution #975 #2200]: #194
-#2204 := [unit-resolution #579 #2203 #907 #895]: up_31
-#2205 := [unit-resolution #1141 #2204 #2202]: false
-#2207 := [lemma #2205]: #2206
-#2285 := [unit-resolution #2207 #907 #895 #1457 #2200]: up_22
-#2286 := [unit-resolution #1016 #2285]: #209
-#2287 := [unit-resolution #579 #907 #895 #2203]: up_31
-#2288 := [unit-resolution #1121 #2287]: #242
-#2289 := [unit-resolution #608 #2288 #2286 #1611]: false
-#2291 := [lemma #2289]: #2290
-#2295 := [unit-resolution #2291 #2294 #1611 #1457 #2293]: up_29
-#2296 := [unit-resolution #2149 #2295]: up_54
-#2297 := [unit-resolution #2155 #2295 #1605]: up_59
-#2298 := [unit-resolution #1458 #2297 #2296]: false
-#2300 := [lemma #2298]: #2299
-#2301 := [unit-resolution #2300 #1457 #1611]: up_34
-#2302 := [unit-resolution #1136 #2301]: #202
-#2303 := [unit-resolution #1113 #2301]: #242
-#2304 := [unit-resolution #608 #2303 #1611]: up_24
-#2305 := [unit-resolution #1016 #2304]: #201
-#2306 := [unit-resolution #505 #2305 #1457 #2302]: up_20
-#2307 := [unit-resolution #965 #2306]: #185
-#2308 := [unit-resolution #2224 #2307 #2236]: up_19
-#2309 := [unit-resolution #957 #2306]: #194
-#2310 := [unit-resolution #1131 #2301]: #234
-#2311 := [unit-resolution #1074 #2308]: #226
-#2312 := [unit-resolution #579 #2311 #2310 #2309]: up_32
-#2313 := [unit-resolution #1245 #2312]: #267
-#2198 := (or #186 up_59 up_40)
-#2193 := [unit-resolution #653 #2192 #1782 #2191]: up_41
-#2194 := [unit-resolution #1349 #2193]: #300
-#2195 := [unit-resolution #1344 #2193]: #309
-#2196 := [unit-resolution #819 #2195 #1929]: up_58
-#2197 := [unit-resolution #1781 #2196 #2194 #2190]: false
-#2199 := [lemma #2197]: #2198
-#2314 := [unit-resolution #2199 #2313 #2308]: up_59
-#2315 := [unit-resolution #1448 #2314]: #345
-#2316 := [unit-resolution #1524 #2315]: up_56
-#2317 := [unit-resolution #1084 #2308]: #227
-#2318 := [unit-resolution #1089 #2308]: #218
-#2319 := [unit-resolution #2188 #2318]: up_28
-#2320 := [unit-resolution #1178 #2319]: #259
-#2321 := [unit-resolution #653 #2313 #2320 #2317]: up_41
-#2322 := [unit-resolution #1334 #2321]: #308
-#2323 := [unit-resolution #1240 #2312]: #276
-#2324 := [unit-resolution #1458 #2314]: #317
-#2325 := [unit-resolution #759 #2324 #2323 #2322]: up_53
-#2326 := [unit-resolution #1391 #2325 #2316]: false
-#2328 := [lemma #2326]: #2327
-#2337 := [unit-resolution #2328 #1611]: up_12
-#2338 := [unit-resolution #878 #2337]: #165
-#2339 := [unit-resolution #430 #2338]: up_13
-#2340 := [unit-resolution #1021 #2339]: #209
-#2341 := [unit-resolution #608 #2340 #1611]: up_33
-#2342 := [unit-resolution #1113 #2341]: #243
-#2343 := [unit-resolution #2258 #2342]: #235
-#2344 := [unit-resolution #1121 #2341]: #234
-#2345 := [unit-resolution #2284 #2342]: #186
-#2346 := [unit-resolution #891 #2337]: #160
-#2335 := (or #194 up_9 up_19)
-#2329 := [hypothesis]: #186
-#2330 := [unit-resolution #975 #1674]: #185
-#2331 := [unit-resolution #2224 #2330 #2329]: up_8
-#2332 := [hypothesis]: #160
-#2333 := [unit-resolution #410 #1678 #2332]: up_7
-#2334 := [unit-resolution #856 #2333 #2331]: false
-#2336 := [lemma #2334]: #2335
-#2347 := [unit-resolution #2336 #2346 #2345]: #194
-#2348 := [unit-resolution #579 #2347 #2344 #2343]: up_29
-#2349 := [unit-resolution #2149 #2348]: up_54
-#2350 := [unit-resolution #2155 #2348 #2342]: up_59
-#2351 := [unit-resolution #1458 #2350 #2349]: false
-#2352 := [lemma #2351]: up_35
-#2353 := [unit-resolution #1281 #2352]: #291
-#2354 := [unit-resolution #1516 #2353]: up_55
-#2355 := [unit-resolution #1373 #2354]: #325
-#2356 := [unit-resolution #1524 #2355]: up_60
-#2357 := [unit-resolution #1453 #2356]: #317
-#2358 := [unit-resolution #2149 #2357]: #226
-#2359 := [unit-resolution #1448 #2356]: #341
-#2217 := (or #308 up_59)
-#2218 := [unit-resolution #1939 #2147]: #2217
-#2360 := [unit-resolution #2218 #2359]: #308
-#2361 := [unit-resolution #1381 #2354]: #316
-#2362 := [unit-resolution #759 #2357 #2361 #2360]: up_43
-#2363 := [unit-resolution #1235 #2362]: #267
-#2364 := [unit-resolution #2199 #2363 #2359]: #186
-#1145 := (or #209 #250)
-#252 := (or #250 #209)
-#1147 := (iff #252 #1145)
-#1148 := [rewrite]: #1147
-#1144 := [asserted]: #252
-#1151 := [mp #1144 #1148]: #1145
-#2365 := [unit-resolution #1151 #2352]: #209
-#2230 := (or #234 up_54 up_24)
-#2231 := [unit-resolution #2025 #2147]: #2230
-#2366 := [unit-resolution #2231 #2357 #2365]: #234
-#2367 := [unit-resolution #1240 #2362]: #235
-#2368 := [unit-resolution #579 #2367 #2366 #2358]: up_21
-#2369 := [unit-resolution #2336 #2368 #2364]: up_9
-#870 := (or #155 #160)
-#163 := (or #160 #155)
-#871 := (iff #163 #870)
-#872 := [rewrite]: #871
-#868 := [asserted]: #163
-#875 := [mp #868 #872]: #870
-#2370 := [unit-resolution #875 #2369]: #155
-#2371 := [unit-resolution #891 #2369]: #166
-[unit-resolution #2159 #2371 #2370 #2358 #2357]: false
-unsat
-d8841d120b7cf772be783d793f759fb6353b9fcd 78 0
-#2 := false
-decl up_1 :: (-> int bool)
-decl ?x1!0 :: int
-#54 := ?x1!0
-#55 := (up_1 ?x1!0)
-#58 := (not #55)
-decl ?x2!1 :: int
-#66 := ?x2!1
-#67 := (up_1 ?x2!1)
-#85 := (or #55 #67)
-#88 := (not #85)
-#91 := (and #55 #88)
-#68 := (or #67 #55)
-#69 := (not #68)
-#63 := (not #58)
-#75 := (and #63 #69)
-#92 := (iff #75 #91)
-#89 := (iff #69 #88)
-#86 := (iff #68 #85)
-#87 := [rewrite]: #86
-#90 := [monotonicity #87]: #89
-#83 := (iff #63 #55)
-#84 := [rewrite]: #83
-#93 := [monotonicity #84 #90]: #92
-#6 := (:var 1 int)
-#7 := (up_1 #6)
-#4 := (:var 0 int)
-#5 := (up_1 #4)
-#29 := (or #5 #7)
-#32 := (forall (vars (?x2 int)) #29)
-#38 := (not #5)
-#39 := (or #38 #32)
-#44 := (forall (vars (?x1 int)) #39)
-#47 := (not #44)
-#78 := (~ #47 #75)
-#56 := (or #5 #55)
-#57 := (forall (vars (?x2 int)) #56)
-#59 := (or #58 #57)
-#60 := (not #59)
-#76 := (~ #60 #75)
-#70 := (not #57)
-#71 := (~ #70 #69)
-#72 := [sk]: #71
-#64 := (~ #63 #63)
-#65 := [refl]: #64
-#77 := [nnf-neg #65 #72]: #76
-#61 := (~ #47 #60)
-#62 := [sk]: #61
-#79 := [trans #62 #77]: #78
-#8 := (or #7 #5)
-#9 := (forall (vars (?x2 int)) #8)
-#10 := (implies #5 #9)
-#11 := (forall (vars (?x1 int)) #10)
-#12 := (not #11)
-#48 := (iff #12 #47)
-#45 := (iff #11 #44)
-#42 := (iff #10 #39)
-#35 := (implies #5 #32)
-#40 := (iff #35 #39)
-#41 := [rewrite]: #40
-#36 := (iff #10 #35)
-#33 := (iff #9 #32)
-#30 := (iff #8 #29)
-#31 := [rewrite]: #30
-#34 := [quant-intro #31]: #33
-#37 := [monotonicity #34]: #36
-#43 := [trans #37 #41]: #42
-#46 := [quant-intro #43]: #45
-#49 := [monotonicity #46]: #48
-#28 := [asserted]: #12
-#52 := [mp #28 #49]: #47
-#80 := [mp~ #52 #79]: #75
-#81 := [mp #80 #93]: #91
-#94 := [and-elim #81]: #88
-#95 := [not-or-elim #94]: #58
-#82 := [and-elim #81]: #55
-[unit-resolution #82 #95]: false
-unsat
-bc722e6a73140d95a8643a8d8a522de8bf529dea 135 0
-#2 := false
-decl up_1 :: (-> T1 T2 bool)
-#5 := (:var 0 T2)
-decl uf_3 :: T1
-#11 := uf_3
-#12 := (up_1 uf_3 #5)
-#560 := (pattern #12)
-#57 := (not #12)
-#561 := (forall (vars (?x3 T2)) (:pat #560) #57)
-decl uf_4 :: T2
-#14 := uf_4
-#15 := (up_1 uf_3 uf_4)
-decl uf_2 :: T1
-#7 := uf_2
-#136 := (= uf_2 uf_3)
-#543 := (iff #15 #136)
-#4 := (:var 1 T1)
-#6 := (up_1 #4 #5)
-#553 := (pattern #6)
-#8 := (= #4 uf_2)
-#9 := (iff #6 #8)
-#554 := (forall (vars (?x1 T1) (?x2 T2)) (:pat #553) #9)
-#10 := (forall (vars (?x1 T1) (?x2 T2)) #9)
-#557 := (iff #10 #554)
-#555 := (iff #9 #9)
-#556 := [refl]: #555
-#558 := [quant-intro #556]: #557
-#47 := (~ #10 #10)
-#45 := (~ #9 #9)
-#46 := [refl]: #45
-#48 := [nnf-pos #46]: #47
-#33 := [asserted]: #10
-#49 := [mp~ #33 #48]: #10
-#559 := [mp #49 #558]: #554
-#227 := (not #554)
-#185 := (or #227 #543)
-#135 := (= uf_3 uf_2)
-#205 := (iff #15 #135)
-#528 := (or #227 #205)
-#190 := (iff #528 #185)
-#192 := (iff #185 #185)
-#530 := [rewrite]: #192
-#201 := (iff #205 #543)
-#223 := (iff #135 #136)
-#137 := [rewrite]: #223
-#544 := [monotonicity #137]: #201
-#191 := [monotonicity #544]: #190
-#531 := [trans #191 #530]: #190
-#189 := [quant-inst]: #528
-#532 := [mp #189 #531]: #185
-#539 := [unit-resolution #532 #559]: #543
-decl ?x3!0 :: T2
-#50 := ?x3!0
-#51 := (up_1 uf_3 ?x3!0)
-#224 := (iff #51 #136)
-#155 := (or #227 #224)
-#222 := (iff #51 #135)
-#228 := (or #227 #222)
-#229 := (iff #228 #155)
-#545 := (iff #155 #155)
-#547 := [rewrite]: #545
-#215 := (iff #222 #224)
-#226 := [monotonicity #137]: #215
-#208 := [monotonicity #226]: #229
-#202 := [trans #208 #547]: #229
-#225 := [quant-inst]: #228
-#334 := [mp #225 #202]: #155
-#537 := [unit-resolution #334 #559]: #224
-#541 := (not #224)
-#527 := (or #541 #136)
-#63 := (not #15)
-#540 := [hypothesis]: #63
-#68 := (or #15 #51)
-#60 := (forall (vars (?x3 T2)) #57)
-#69 := (or #63 #60)
-#76 := (and #68 #69)
-#70 := (and #69 #68)
-#77 := (iff #70 #76)
-#78 := [rewrite]: #77
-#13 := (exists (vars (?x3 T2)) #12)
-#35 := (not #13)
-#36 := (iff #15 #35)
-#71 := (~ #36 #70)
-#61 := (~ #35 #60)
-#58 := (~ #57 #57)
-#59 := [refl]: #58
-#62 := [nnf-neg #59]: #61
-#54 := (not #35)
-#55 := (~ #54 #51)
-#42 := (~ #13 #51)
-#39 := [sk]: #42
-#56 := [nnf-neg #39]: #55
-#66 := (~ #15 #15)
-#67 := [refl]: #66
-#64 := (~ #63 #63)
-#65 := [refl]: #64
-#72 := [nnf-pos #65 #67 #56 #62]: #71
-#16 := (iff #13 #15)
-#17 := (not #16)
-#37 := (iff #17 #36)
-#38 := [rewrite]: #37
-#34 := [asserted]: #17
-#41 := [mp #34 #38]: #36
-#73 := [mp~ #41 #72]: #70
-#74 := [mp #73 #78]: #76
-#75 := [and-elim #74]: #68
-#526 := [unit-resolution #75 #540]: #51
-#549 := (not #51)
-#550 := (or #541 #549 #136)
-#551 := [def-axiom]: #550
-#233 := [unit-resolution #551 #526]: #527
-#249 := [unit-resolution #233 #537]: #136
-#213 := (not #136)
-#533 := (not #543)
-#250 := (or #533 #213)
-#534 := (or #533 #15 #213)
-#529 := [def-axiom]: #534
-#251 := [unit-resolution #529 #540]: #250
-#237 := [unit-resolution #251 #249 #539]: false
-#252 := [lemma #237]: #15
-#566 := (or #63 #561)
-#567 := (iff #69 #566)
-#564 := (iff #60 #561)
-#562 := (iff #57 #57)
-#563 := [refl]: #562
-#565 := [quant-intro #563]: #564
-#568 := [monotonicity #565]: #567
-#79 := [and-elim #74]: #69
-#569 := [mp #79 #568]: #566
-#535 := [unit-resolution #569 #252]: #561
-#536 := (not #561)
-#538 := (or #536 #63)
-#176 := [quant-inst]: #538
-[unit-resolution #176 #252 #535]: false
-unsat
-3ad10572aa4268ecfd73368c6cc15680136648a3 136 0
-WARNING: failed to find a pattern for quantifier (quantifier id: k!12)
-#2 := false
-decl up_1 :: (-> T1 T2 bool)
-#5 := (:var 0 T2)
-decl uf_4 :: T1
-#18 := uf_4
-#19 := (up_1 uf_4 #5)
-#635 := (pattern #19)
-#116 := (not #19)
-#636 := (forall (vars (?x6 T2)) (:pat #635) #116)
-decl uf_3 :: T2
-#14 := uf_3
-#21 := (up_1 uf_4 uf_3)
-decl uf_2 :: T1
-#7 := uf_2
-#195 := (= uf_2 uf_4)
-#602 := (iff #21 #195)
-#4 := (:var 1 T1)
-#6 := (up_1 #4 #5)
-#612 := (pattern #6)
-#8 := (= #4 uf_2)
-#9 := (iff #6 #8)
-#613 := (forall (vars (?x1 T1) (?x2 T2)) (:pat #612) #9)
-#10 := (forall (vars (?x1 T1) (?x2 T2)) #9)
-#616 := (iff #10 #613)
-#614 := (iff #9 #9)
-#615 := [refl]: #614
-#617 := [quant-intro #615]: #616
-#56 := (~ #10 #10)
-#54 := (~ #9 #9)
-#55 := [refl]: #54
-#57 := [nnf-pos #55]: #56
-#39 := [asserted]: #10
-#58 := [mp~ #39 #57]: #10
-#618 := [mp #58 #617]: #613
-#286 := (not #613)
-#244 := (or #286 #602)
-#194 := (= uf_4 uf_2)
-#264 := (iff #21 #194)
-#587 := (or #286 #264)
-#249 := (iff #587 #244)
-#251 := (iff #244 #244)
-#589 := [rewrite]: #251
-#260 := (iff #264 #602)
-#282 := (iff #194 #195)
-#196 := [rewrite]: #282
-#603 := [monotonicity #196]: #260
-#250 := [monotonicity #603]: #249
-#590 := [trans #250 #589]: #249
-#248 := [quant-inst]: #587
-#591 := [mp #248 #590]: #244
-#598 := [unit-resolution #591 #618]: #602
-decl ?x6!3 :: T2
-#63 := ?x6!3
-#64 := (up_1 uf_4 ?x6!3)
-#283 := (iff #64 #195)
-#214 := (or #286 #283)
-#281 := (iff #64 #194)
-#287 := (or #286 #281)
-#288 := (iff #287 #214)
-#604 := (iff #214 #214)
-#606 := [rewrite]: #604
-#274 := (iff #281 #283)
-#285 := [monotonicity #196]: #274
-#267 := [monotonicity #285]: #288
-#261 := [trans #267 #606]: #288
-#284 := [quant-inst]: #287
-#393 := [mp #284 #261]: #214
-#596 := [unit-resolution #393 #618]: #283
-#600 := (not #283)
-#586 := (or #600 #195)
-#122 := (not #21)
-#599 := [hypothesis]: #122
-#127 := (or #21 #64)
-#119 := (forall (vars (?x6 T2)) #116)
-#128 := (or #122 #119)
-#135 := (and #127 #128)
-#129 := (and #128 #127)
-#136 := (iff #129 #135)
-#137 := [rewrite]: #136
-#20 := (exists (vars (?x6 T2)) #19)
-#42 := (not #20)
-#43 := (iff #21 #42)
-#130 := (~ #43 #129)
-#120 := (~ #42 #119)
-#117 := (~ #116 #116)
-#118 := [refl]: #117
-#121 := [nnf-neg #118]: #120
-#113 := (not #42)
-#114 := (~ #113 #64)
-#88 := (~ #20 #64)
-#89 := [sk]: #88
-#115 := [nnf-neg #89]: #114
-#125 := (~ #21 #21)
-#126 := [refl]: #125
-#123 := (~ #122 #122)
-#124 := [refl]: #123
-#131 := [nnf-pos #124 #126 #115 #121]: #130
-#22 := (iff #20 #21)
-#23 := (not #22)
-#44 := (iff #23 #43)
-#45 := [rewrite]: #44
-#41 := [asserted]: #23
-#48 := [mp #41 #45]: #43
-#132 := [mp~ #48 #131]: #129
-#133 := [mp #132 #137]: #135
-#134 := [and-elim #133]: #127
-#585 := [unit-resolution #134 #599]: #64
-#608 := (not #64)
-#609 := (or #600 #608 #195)
-#610 := [def-axiom]: #609
-#292 := [unit-resolution #610 #585]: #586
-#308 := [unit-resolution #292 #596]: #195
-#272 := (not #195)
-#592 := (not #602)
-#309 := (or #592 #272)
-#593 := (or #592 #21 #272)
-#588 := [def-axiom]: #593
-#310 := [unit-resolution #588 #599]: #309
-#296 := [unit-resolution #310 #308 #598]: false
-#311 := [lemma #296]: #21
-#641 := (or #122 #636)
-#642 := (iff #128 #641)
-#639 := (iff #119 #636)
-#637 := (iff #116 #116)
-#638 := [refl]: #637
-#640 := [quant-intro #638]: #639
-#643 := [monotonicity #640]: #642
-#138 := [and-elim #133]: #128
-#644 := [mp #138 #643]: #641
-#594 := [unit-resolution #644 #311]: #636
-#595 := (not #636)
-#597 := (or #595 #122)
-#235 := [quant-inst]: #597
-[unit-resolution #235 #311 #594]: false
-unsat
-0e958e27514643bb596851e6dbb61a23f6b348b0 56 0
-#2 := false
-decl up_1 :: (-> T1 bool)
-decl uf_2 :: T1
-#4 := uf_2
-#5 := (up_1 uf_2)
-decl uf_3 :: T1
-#13 := uf_3
-#14 := (up_1 uf_3)
-#34 := (not #5)
-#35 := (or #34 #14)
-#38 := (not #35)
-#15 := (implies #5 #14)
-#16 := (not #15)
-#39 := (iff #16 #38)
-#36 := (iff #15 #35)
-#37 := [rewrite]: #36
-#40 := [monotonicity #37]: #39
-#33 := [asserted]: #16
-#43 := [mp #33 #40]: #38
-#41 := [not-or-elim #43]: #5
-#6 := (:var 0 T1)
-#7 := (up_1 #6)
-#536 := (pattern #7)
-#10 := (not #7)
-#537 := (forall (vars (?x2 T1)) (:pat #536) #10)
-#11 := (forall (vars (?x2 T1)) #10)
-#540 := (iff #11 #537)
-#538 := (iff #10 #10)
-#539 := [refl]: #538
-#541 := [quant-intro #539]: #540
-#8 := (exists (vars (?x1 T1)) #7)
-#9 := (not #8)
-#45 := (~ #9 #11)
-#50 := (~ #10 #10)
-#51 := [refl]: #50
-#59 := [nnf-neg #51]: #45
-#12 := (ite #5 #9 #11)
-#57 := (iff #12 #9)
-#1 := true
-#52 := (ite true #9 #11)
-#55 := (iff #52 #9)
-#56 := [rewrite]: #55
-#53 := (iff #12 #52)
-#48 := (iff #5 true)
-#49 := [iff-true #41]: #48
-#54 := [monotonicity #49]: #53
-#58 := [trans #54 #56]: #57
-#32 := [asserted]: #12
-#47 := [mp #32 #58]: #9
-#60 := [mp~ #47 #59]: #11
-#542 := [mp #60 #541]: #537
-#119 := (not #537)
-#206 := (or #119 #34)
-#120 := [quant-inst]: #206
-[unit-resolution #120 #542 #41]: false
-unsat
-6ecefa4023d224e6c51226d5bee17e2a19cc4333 17 0
-#2 := false
-#4 := 3::int
-#5 := (= 3::int 3::int)
-#6 := (not #5)
-#30 := (iff #6 false)
-#1 := true
-#25 := (not true)
-#28 := (iff #25 false)
-#29 := [rewrite]: #28
-#26 := (iff #6 #25)
-#23 := (iff #5 true)
-#24 := [rewrite]: #23
-#27 := [monotonicity #24]: #26
-#31 := [trans #27 #29]: #30
-#22 := [asserted]: #6
-[mp #22 #31]: false
-unsat
-5e0256133fc82f0e2fea6597b863483e4e61d3c6 17 0
-#2 := false
-#4 := 3::real
-#5 := (= 3::real 3::real)
-#6 := (not #5)
-#30 := (iff #6 false)
-#1 := true
-#25 := (not true)
-#28 := (iff #25 false)
-#29 := [rewrite]: #28
-#26 := (iff #6 #25)
-#23 := (iff #5 true)
-#24 := [rewrite]: #23
-#27 := [monotonicity #24]: #26
-#31 := [trans #27 #29]: #30
-#22 := [asserted]: #6
-[mp #22 #31]: false
-unsat
-55cf32b061b843ac5bcaefb74005a7dd3a24386f 26 0
-#2 := false
-#7 := 4::int
-#5 := 1::int
-#4 := 3::int
-#6 := (+ 3::int 1::int)
-#8 := (= #6 4::int)
-#9 := (not #8)
-#39 := (iff #9 false)
-#1 := true
-#34 := (not true)
-#37 := (iff #34 false)
-#38 := [rewrite]: #37
-#35 := (iff #9 #34)
-#32 := (iff #8 true)
-#27 := (= 4::int 4::int)
-#30 := (iff #27 true)
-#31 := [rewrite]: #30
-#28 := (iff #8 #27)
-#26 := [rewrite]: #8
-#29 := [monotonicity #26]: #28
-#33 := [trans #29 #31]: #32
-#36 := [monotonicity #33]: #35
-#40 := [trans #36 #38]: #39
-#25 := [asserted]: #9
-[mp #25 #40]: false
-unsat
-e81d17ec85af9db5ec6ba5bf4ced62daaa719ef3 41 0
-#2 := false
-decl uf_1 :: int
-#4 := uf_1
-decl uf_3 :: int
-#6 := uf_3
-#9 := (+ uf_3 uf_1)
-decl uf_2 :: int
-#5 := uf_2
-#10 := (+ uf_2 #9)
-#7 := (+ uf_2 uf_3)
-#8 := (+ uf_1 #7)
-#11 := (= #8 #10)
-#12 := (not #11)
-#51 := (iff #12 false)
-#1 := true
-#46 := (not true)
-#49 := (iff #46 false)
-#50 := [rewrite]: #49
-#47 := (iff #12 #46)
-#44 := (iff #11 true)
-#39 := (= #8 #8)
-#42 := (iff #39 true)
-#43 := [rewrite]: #42
-#40 := (iff #11 #39)
-#37 := (= #10 #8)
-#29 := (+ uf_1 uf_3)
-#32 := (+ uf_2 #29)
-#35 := (= #32 #8)
-#36 := [rewrite]: #35
-#33 := (= #10 #32)
-#30 := (= #9 #29)
-#31 := [rewrite]: #30
-#34 := [monotonicity #31]: #33
-#38 := [trans #34 #36]: #37
-#41 := [monotonicity #38]: #40
-#45 := [trans #41 #43]: #44
-#48 := [monotonicity #45]: #47
-#52 := [trans #48 #50]: #51
-#28 := [asserted]: #12
-[mp #28 #52]: false
-unsat
-448f188ebf9d7fbd2920c0a51a8f105192e6af1a 35 0
-#2 := false
-#5 := 3::int
-#6 := 8::int
-#7 := (<= 3::int 8::int)
-#8 := (ite #7 8::int 3::int)
-#4 := 5::int
-#9 := (< 5::int #8)
-#10 := (not #9)
-#50 := (iff #10 false)
-#1 := true
-#45 := (not true)
-#48 := (iff #45 false)
-#49 := [rewrite]: #48
-#46 := (iff #10 #45)
-#43 := (iff #9 true)
-#38 := (< 5::int 8::int)
-#41 := (iff #38 true)
-#42 := [rewrite]: #41
-#39 := (iff #9 #38)
-#36 := (= #8 8::int)
-#31 := (ite true 8::int 3::int)
-#34 := (= #31 8::int)
-#35 := [rewrite]: #34
-#32 := (= #8 #31)
-#29 := (iff #7 true)
-#30 := [rewrite]: #29
-#33 := [monotonicity #30]: #32
-#37 := [trans #33 #35]: #36
-#40 := [monotonicity #37]: #39
-#44 := [trans #40 #42]: #43
-#47 := [monotonicity #44]: #46
-#51 := [trans #47 #49]: #50
-#26 := [asserted]: #10
-[mp #26 #51]: false
-unsat
-c3751ecae7701923f4ba6a90c6c6eee35ee1b13d 250 0
-#2 := false
-#7 := 0::real
-decl uf_2 :: real
-#5 := uf_2
-#143 := 2::real
-#144 := (* 2::real uf_2)
-#165 := (<= #144 0::real)
-#188 := (not #165)
-#88 := (>= uf_2 0::real)
-#166 := (or #88 #165)
-#191 := (not #166)
-decl uf_1 :: real
-#4 := uf_1
-#76 := (>= uf_1 0::real)
-#89 := (not #88)
-#146 := (* 2::real uf_1)
-#167 := (<= #146 0::real)
-#199 := (not #167)
-#263 := [hypothesis]: #88
-#147 := (+ #146 #144)
-#168 := (<= #147 0::real)
-#169 := (ite #88 #167 #168)
-#194 := (not #169)
-#186 := (or #166 #89)
-#187 := [def-axiom]: #186
-#271 := [unit-resolution #187 #263]: #166
-#170 := (ite #76 #166 #169)
-#205 := (not #170)
-#6 := (+ uf_1 uf_2)
-#64 := (>= #6 0::real)
-#269 := (or #64 #89)
-#65 := (not #64)
-#262 := [hypothesis]: #65
-#174 := (>= #144 0::real)
-#175 := (or #89 #174)
-#230 := (not #175)
-#257 := [hypothesis]: #230
-#225 := (or #175 #88)
-#226 := [def-axiom]: #225
-#258 := [unit-resolution #226 #257]: #88
-#227 := (not #174)
-#228 := (or #175 #227)
-#229 := [def-axiom]: #228
-#259 := [unit-resolution #229 #257]: #227
-#260 := [th-lemma #259 #258]: false
-#261 := [lemma #260]: #175
-#172 := (>= #146 0::real)
-#171 := (>= #147 0::real)
-#173 := (ite #88 #171 #172)
-#176 := (ite #76 #173 #175)
-#233 := (not #176)
-#264 := (or #64 #233)
-#177 := (ite #64 #170 #176)
-#182 := (not #177)
-#36 := -1::real
-#38 := (* -1::real uf_2)
-#95 := (ite #88 uf_2 #38)
-#107 := (* -1::real #95)
-#37 := (* -1::real uf_1)
-#83 := (ite #76 uf_1 #37)
-#106 := (* -1::real #83)
-#108 := (+ #106 #107)
-#39 := (+ #37 #38)
-#71 := (ite #64 #6 #39)
-#109 := (+ #71 #108)
-#110 := (<= #109 0::real)
-#115 := (not #110)
-#183 := (iff #115 #182)
-#180 := (iff #110 #177)
-#150 := -2::real
-#152 := (* -2::real uf_2)
-#155 := (ite #88 #152 0::real)
-#151 := (* -2::real uf_1)
-#153 := (+ #151 #152)
-#154 := (ite #88 #153 #151)
-#156 := (ite #76 #154 #155)
-#148 := (ite #88 #146 #147)
-#145 := (ite #88 0::real #144)
-#149 := (ite #76 #145 #148)
-#157 := (ite #64 #149 #156)
-#162 := (<= #157 0::real)
-#178 := (iff #162 #177)
-#179 := [rewrite]: #178
-#163 := (iff #110 #162)
-#160 := (= #109 #157)
-#133 := (+ uf_1 #38)
-#134 := (ite #88 #133 #6)
-#131 := (+ #37 uf_2)
-#132 := (ite #88 #39 #131)
-#135 := (ite #76 #132 #134)
-#140 := (+ #71 #135)
-#158 := (= #140 #157)
-#159 := [rewrite]: #158
-#141 := (= #109 #140)
-#138 := (= #108 #135)
-#125 := (ite #88 #38 uf_2)
-#123 := (ite #76 #37 uf_1)
-#128 := (+ #123 #125)
-#136 := (= #128 #135)
-#137 := [rewrite]: #136
-#129 := (= #108 #128)
-#126 := (= #107 #125)
-#127 := [rewrite]: #126
-#121 := (= #106 #123)
-#124 := [rewrite]: #121
-#130 := [monotonicity #124 #127]: #129
-#139 := [trans #130 #137]: #138
-#142 := [monotonicity #139]: #141
-#161 := [trans #142 #159]: #160
-#164 := [monotonicity #161]: #163
-#181 := [trans #164 #179]: #180
-#184 := [monotonicity #181]: #183
-#15 := (- uf_2)
-#14 := (< uf_2 0::real)
-#16 := (ite #14 #15 uf_2)
-#12 := (- uf_1)
-#11 := (< uf_1 0::real)
-#13 := (ite #11 #12 uf_1)
-#17 := (+ #13 #16)
-#9 := (- #6)
-#8 := (< #6 0::real)
-#10 := (ite #8 #9 #6)
-#18 := (<= #10 #17)
-#19 := (not #18)
-#118 := (iff #19 #115)
-#52 := (ite #14 #38 uf_2)
-#47 := (ite #11 #37 uf_1)
-#55 := (+ #47 #52)
-#42 := (ite #8 #39 #6)
-#58 := (<= #42 #55)
-#61 := (not #58)
-#116 := (iff #61 #115)
-#113 := (iff #58 #110)
-#100 := (+ #83 #95)
-#103 := (<= #71 #100)
-#111 := (iff #103 #110)
-#112 := [rewrite]: #111
-#104 := (iff #58 #103)
-#101 := (= #55 #100)
-#98 := (= #52 #95)
-#92 := (ite #89 #38 uf_2)
-#96 := (= #92 #95)
-#97 := [rewrite]: #96
-#93 := (= #52 #92)
-#90 := (iff #14 #89)
-#91 := [rewrite]: #90
-#94 := [monotonicity #91]: #93
-#99 := [trans #94 #97]: #98
-#86 := (= #47 #83)
-#77 := (not #76)
-#80 := (ite #77 #37 uf_1)
-#84 := (= #80 #83)
-#85 := [rewrite]: #84
-#81 := (= #47 #80)
-#78 := (iff #11 #77)
-#79 := [rewrite]: #78
-#82 := [monotonicity #79]: #81
-#87 := [trans #82 #85]: #86
-#102 := [monotonicity #87 #99]: #101
-#74 := (= #42 #71)
-#68 := (ite #65 #39 #6)
-#72 := (= #68 #71)
-#73 := [rewrite]: #72
-#69 := (= #42 #68)
-#66 := (iff #8 #65)
-#67 := [rewrite]: #66
-#70 := [monotonicity #67]: #69
-#75 := [trans #70 #73]: #74
-#105 := [monotonicity #75 #102]: #104
-#114 := [trans #105 #112]: #113
-#117 := [monotonicity #114]: #116
-#62 := (iff #19 #61)
-#59 := (iff #18 #58)
-#56 := (= #17 #55)
-#53 := (= #16 #52)
-#50 := (= #15 #38)
-#51 := [rewrite]: #50
-#54 := [monotonicity #51]: #53
-#48 := (= #13 #47)
-#45 := (= #12 #37)
-#46 := [rewrite]: #45
-#49 := [monotonicity #46]: #48
-#57 := [monotonicity #49 #54]: #56
-#43 := (= #10 #42)
-#40 := (= #9 #39)
-#41 := [rewrite]: #40
-#44 := [monotonicity #41]: #43
-#60 := [monotonicity #44 #57]: #59
-#63 := [monotonicity #60]: #62
-#119 := [trans #63 #117]: #118
-#35 := [asserted]: #19
-#120 := [mp #35 #119]: #115
-#185 := [mp #120 #184]: #182
-#248 := (or #177 #64 #233)
-#249 := [def-axiom]: #248
-#265 := [unit-resolution #249 #185]: #264
-#266 := [unit-resolution #265 #262]: #233
-#240 := (or #176 #76 #230)
-#241 := [def-axiom]: #240
-#267 := [unit-resolution #241 #266 #261]: #76
-#268 := [th-lemma #267 #263 #262]: false
-#270 := [lemma #268]: #269
-#272 := [unit-resolution #270 #263]: #64
-#273 := (or #65 #205)
-#246 := (or #177 #65 #205)
-#247 := [def-axiom]: #246
-#274 := [unit-resolution #247 #185]: #273
-#275 := [unit-resolution #274 #272]: #205
-#255 := (or #170 #194 #191)
-#250 := [hypothesis]: #169
-#251 := [hypothesis]: #205
-#252 := [hypothesis]: #166
-#210 := (or #170 #77 #191)
-#211 := [def-axiom]: #210
-#253 := [unit-resolution #211 #251 #252]: #77
-#212 := (or #170 #76 #194)
-#213 := [def-axiom]: #212
-#254 := [unit-resolution #213 #253 #251 #250]: false
-#256 := [lemma #254]: #255
-#276 := [unit-resolution #256 #275 #271]: #194
-#200 := (or #169 #89 #199)
-#201 := [def-axiom]: #200
-#277 := [unit-resolution #201 #276 #263]: #199
-#278 := [unit-resolution #211 #275 #271]: #77
-#279 := [th-lemma #278 #277]: false
-#280 := [lemma #279]: #89
-#281 := [hypothesis]: #77
-#282 := [unit-resolution #241 #281 #261]: #176
-#283 := [unit-resolution #265 #282]: #64
-#284 := [th-lemma #281 #283 #280]: false
-#285 := [lemma #284]: #76
-#222 := (not #172)
-#286 := [hypothesis]: #222
-#287 := [th-lemma #285 #286]: false
-#288 := [lemma #287]: #172
-#223 := (or #173 #88 #222)
-#224 := [def-axiom]: #223
-#289 := [unit-resolution #224 #288 #280]: #173
-#214 := (not #173)
-#238 := (or #176 #77 #214)
-#239 := [def-axiom]: #238
-#290 := [unit-resolution #239 #289 #285]: #176
-#291 := [unit-resolution #265 #290]: #64
-#292 := [unit-resolution #274 #291]: #205
-#293 := [unit-resolution #211 #292 #285]: #191
-#189 := (or #166 #188)
-#190 := [def-axiom]: #189
-#294 := [unit-resolution #190 #293]: #188
-[th-lemma #280 #294]: false
-unsat
-a67db8da0b1a1104d4370e2e261e8521096f24e1 124 0
-#2 := false
-decl uf_1 :: (-> T1 T2)
-decl uf_3 :: T1
-#8 := uf_3
-#9 := (uf_1 uf_3)
-decl uf_2 :: (-> int int T1)
-#5 := 3::int
-#4 := 2::int
-#6 := (uf_2 2::int 3::int)
-#7 := (uf_1 #6)
-#10 := (= #7 #9)
-#225 := (= #6 uf_3)
-#13 := (:var 0 int)
-#12 := (:var 1 int)
-#14 := (uf_2 #12 #13)
-#549 := (pattern #14)
-#52 := 0::int
-#50 := -1::int
-#54 := (* -1::int #13)
-#55 := (+ #12 #54)
-#53 := (>= #55 0::int)
-#51 := (not #53)
-#36 := (= uf_3 #14)
-#61 := (iff #36 #51)
-#550 := (forall (vars (?x1 int) (?x2 int)) (:pat #549) #61)
-#66 := (forall (vars (?x1 int) (?x2 int)) #61)
-#553 := (iff #66 #550)
-#551 := (iff #61 #61)
-#552 := [refl]: #551
-#554 := [quant-intro #552]: #553
-#79 := (~ #66 #66)
-#77 := (~ #61 #61)
-#78 := [refl]: #77
-#80 := [nnf-pos #78]: #79
-#16 := (< #12 #13)
-#15 := (= #14 uf_3)
-#17 := (iff #15 #16)
-#18 := (forall (vars (?x1 int) (?x2 int)) #17)
-#69 := (iff #18 #66)
-#42 := (iff #16 #36)
-#47 := (forall (vars (?x1 int) (?x2 int)) #42)
-#67 := (iff #47 #66)
-#64 := (iff #42 #61)
-#58 := (iff #51 #36)
-#62 := (iff #58 #61)
-#63 := [rewrite]: #62
-#59 := (iff #42 #58)
-#56 := (iff #16 #51)
-#57 := [rewrite]: #56
-#60 := [monotonicity #57]: #59
-#65 := [trans #60 #63]: #64
-#68 := [quant-intro #65]: #67
-#48 := (iff #18 #47)
-#45 := (iff #17 #42)
-#39 := (iff #36 #16)
-#43 := (iff #39 #42)
-#44 := [rewrite]: #43
-#40 := (iff #17 #39)
-#37 := (iff #15 #36)
-#38 := [rewrite]: #37
-#41 := [monotonicity #38]: #40
-#46 := [trans #41 #44]: #45
-#49 := [quant-intro #46]: #48
-#70 := [trans #49 #68]: #69
-#35 := [asserted]: #18
-#71 := [mp #35 #70]: #66
-#74 := [mp~ #71 #80]: #66
-#555 := [mp #74 #554]: #550
-#529 := (not #550)
-#530 := (or #529 #225)
-#220 := (* -1::int 3::int)
-#221 := (+ 2::int #220)
-#222 := (>= #221 0::int)
-#213 := (not #222)
-#135 := (= uf_3 #6)
-#224 := (iff #135 #213)
-#525 := (or #529 #224)
-#169 := (iff #525 #530)
-#534 := (iff #530 #530)
-#174 := [rewrite]: #534
-#527 := (iff #224 #225)
-#1 := true
-#187 := (iff #225 true)
-#190 := (iff #187 #225)
-#526 := [rewrite]: #190
-#188 := (iff #224 #187)
-#183 := (iff #213 true)
-#198 := (not false)
-#199 := (iff #198 true)
-#540 := [rewrite]: #199
-#203 := (iff #213 #198)
-#548 := (iff #222 false)
-#544 := (>= -1::int 0::int)
-#547 := (iff #544 false)
-#542 := [rewrite]: #547
-#545 := (iff #222 #544)
-#211 := (= #221 -1::int)
-#223 := -3::int
-#541 := (+ 2::int -3::int)
-#330 := (= #541 -1::int)
-#537 := [rewrite]: #330
-#543 := (= #221 #541)
-#227 := (= #220 -3::int)
-#206 := [rewrite]: #227
-#200 := [monotonicity #206]: #543
-#212 := [trans #200 #537]: #211
-#546 := [monotonicity #212]: #545
-#538 := [trans #546 #542]: #548
-#539 := [monotonicity #538]: #203
-#524 := [trans #539 #540]: #183
-#153 := (iff #135 #225)
-#226 := [rewrite]: #153
-#189 := [monotonicity #226 #524]: #188
-#528 := [trans #189 #526]: #527
-#532 := [monotonicity #528]: #169
-#175 := [trans #532 #174]: #169
-#531 := [quant-inst]: #525
-#535 := [mp #531 #175]: #530
-#533 := [unit-resolution #535 #555]: #225
-#536 := [monotonicity #533]: #10
-#11 := (not #10)
-#34 := [asserted]: #11
-[unit-resolution #34 #536]: false
-unsat
-243524c591f6dcfe16a79ddd249c64a337ff3612 54 0
-#2 := false
-#9 := 1::int
-decl uf_1 :: int
-#5 := uf_1
-#10 := (< uf_1 1::int)
-#6 := 3::int
-#7 := (+ uf_1 3::int)
-#4 := 4::int
-#8 := (<= 4::int #7)
-#11 := (or #8 #10)
-#12 := (not #11)
-#66 := (iff #12 false)
-#29 := (+ 3::int uf_1)
-#32 := (<= 4::int #29)
-#38 := (or #10 #32)
-#43 := (not #38)
-#64 := (iff #43 false)
-#1 := true
-#59 := (not true)
-#62 := (iff #59 false)
-#63 := [rewrite]: #62
-#60 := (iff #43 #59)
-#57 := (iff #38 true)
-#48 := (>= uf_1 1::int)
-#46 := (not #48)
-#52 := (or #46 #48)
-#55 := (iff #52 true)
-#56 := [rewrite]: #55
-#53 := (iff #38 #52)
-#50 := (iff #32 #48)
-#51 := [rewrite]: #50
-#47 := (iff #10 #46)
-#49 := [rewrite]: #47
-#54 := [monotonicity #49 #51]: #53
-#58 := [trans #54 #56]: #57
-#61 := [monotonicity #58]: #60
-#65 := [trans #61 #63]: #64
-#44 := (iff #12 #43)
-#41 := (iff #11 #38)
-#35 := (or #32 #10)
-#39 := (iff #35 #38)
-#40 := [rewrite]: #39
-#36 := (iff #11 #35)
-#33 := (iff #8 #32)
-#30 := (= #7 #29)
-#31 := [rewrite]: #30
-#34 := [monotonicity #31]: #33
-#37 := [monotonicity #34]: #36
-#42 := [trans #37 #40]: #41
-#45 := [monotonicity #42]: #44
-#67 := [trans #45 #65]: #66
-#28 := [asserted]: #12
-[mp #28 #67]: false
-unsat
-adfe7d6c2da6653191952bd9673c1274f94c2ab2 63 0
-#2 := false
-#11 := 0::int
-decl uf_2 :: int
-#7 := uf_2
-#42 := -1::int
-#45 := (* -1::int uf_2)
-decl uf_1 :: int
-#5 := uf_1
-#46 := (+ uf_1 #45)
-#63 := (>= #46 0::int)
-#83 := (iff #63 false)
-#44 := -4::int
-#79 := (>= -4::int 0::int)
-#81 := (iff #79 false)
-#82 := [rewrite]: #81
-#77 := (iff #63 #79)
-#47 := (= #46 -4::int)
-#8 := 4::int
-#9 := (+ uf_1 4::int)
-#10 := (= uf_2 #9)
-#49 := (iff #10 #47)
-#32 := (+ 4::int uf_1)
-#39 := (= uf_2 #32)
-#43 := (iff #39 #47)
-#48 := [rewrite]: #43
-#40 := (iff #10 #39)
-#37 := (= #9 #32)
-#38 := [rewrite]: #37
-#41 := [monotonicity #38]: #40
-#50 := [trans #41 #48]: #49
-#31 := [asserted]: #10
-#51 := [mp #31 #50]: #47
-#80 := [monotonicity #51]: #77
-#84 := [trans #80 #82]: #83
-#12 := (- uf_2 uf_1)
-#13 := (< 0::int #12)
-#14 := (not #13)
-#74 := (iff #14 #63)
-#53 := (* -1::int uf_1)
-#54 := (+ #53 uf_2)
-#57 := (< 0::int #54)
-#60 := (not #57)
-#72 := (iff #60 #63)
-#64 := (not #63)
-#67 := (not #64)
-#70 := (iff #67 #63)
-#71 := [rewrite]: #70
-#68 := (iff #60 #67)
-#65 := (iff #57 #64)
-#66 := [rewrite]: #65
-#69 := [monotonicity #66]: #68
-#73 := [trans #69 #71]: #72
-#61 := (iff #14 #60)
-#58 := (iff #13 #57)
-#55 := (= #12 #54)
-#56 := [rewrite]: #55
-#59 := [monotonicity #56]: #58
-#62 := [monotonicity #59]: #61
-#75 := [trans #62 #73]: #74
-#52 := [asserted]: #14
-#76 := [mp #52 #75]: #63
-[mp #76 #84]: false
-unsat
-3440e29713ba625633b10a2c4fdc186cb6e0cf3e 35 0
-#2 := false
-#6 := 5::int
-#4 := 2::int
-#5 := (+ 2::int 2::int)
-#7 := (= #5 5::int)
-#8 := (not #7)
-#9 := (not #8)
-#48 := (iff #9 false)
-#1 := true
-#43 := (not true)
-#46 := (iff #43 false)
-#47 := [rewrite]: #46
-#44 := (iff #9 #43)
-#41 := (iff #8 true)
-#36 := (not false)
-#39 := (iff #36 true)
-#40 := [rewrite]: #39
-#37 := (iff #8 #36)
-#34 := (iff #7 false)
-#26 := 4::int
-#29 := (= 4::int 5::int)
-#32 := (iff #29 false)
-#33 := [rewrite]: #32
-#30 := (iff #7 #29)
-#27 := (= #5 4::int)
-#28 := [rewrite]: #27
-#31 := [monotonicity #28]: #30
-#35 := [trans #31 #33]: #34
-#38 := [monotonicity #35]: #37
-#42 := [trans #38 #40]: #41
-#45 := [monotonicity #42]: #44
-#49 := [trans #45 #47]: #48
-#25 := [asserted]: #9
-[mp #25 #49]: false
-unsat
-7a45124c81166760c08802d05bb1a73c01b0f138 45 0
-#2 := false
-#11 := 4::real
-decl uf_2 :: real
-#8 := uf_2
-#7 := 7::real
-#9 := (* 7::real uf_2)
-decl uf_1 :: real
-#5 := uf_1
-#4 := 3::real
-#6 := (* 3::real uf_1)
-#10 := (+ #6 #9)
-#41 := (>= #10 4::real)
-#39 := (not #41)
-#12 := (< #10 4::real)
-#40 := (iff #12 #39)
-#37 := [rewrite]: #40
-#34 := [asserted]: #12
-#38 := [mp #34 #37]: #39
-#13 := 2::real
-#14 := (* 2::real uf_1)
-#43 := (<= #14 3::real)
-#44 := (not #43)
-#15 := (< 3::real #14)
-#45 := (iff #15 #44)
-#46 := [rewrite]: #45
-#35 := [asserted]: #15
-#47 := [mp #35 #46]: #44
-#16 := 0::real
-#51 := (>= uf_2 0::real)
-#17 := (< uf_2 0::real)
-#18 := (not #17)
-#58 := (iff #18 #51)
-#49 := (not #51)
-#53 := (not #49)
-#56 := (iff #53 #51)
-#57 := [rewrite]: #56
-#54 := (iff #18 #53)
-#50 := (iff #17 #49)
-#52 := [rewrite]: #50
-#55 := [monotonicity #52]: #54
-#59 := [trans #55 #57]: #58
-#36 := [asserted]: #18
-#60 := [mp #36 #59]: #51
-[th-lemma #60 #47 #38]: false
-unsat
-f946ff901958cea1a0225dfba1e556060c889a10 59 0
-#2 := false
-#16 := (not false)
-decl uf_2 :: int
-#8 := uf_2
-#4 := 0::int
-#12 := (<= 0::int uf_2)
-#13 := (not #12)
-#14 := (or #13 #12)
-#6 := 1::int
-#7 := (- 1::int)
-#9 := (* #7 uf_2)
-decl uf_1 :: int
-#5 := uf_1
-#10 := (+ uf_1 #9)
-#11 := (<= 0::int #10)
-#15 := (or #11 #14)
-#17 := (iff #15 #16)
-#18 := (not #17)
-#70 := (iff #18 false)
-#1 := true
-#65 := (not true)
-#68 := (iff #65 false)
-#69 := [rewrite]: #68
-#66 := (iff #18 #65)
-#63 := (iff #17 true)
-#58 := (iff true true)
-#61 := (iff #58 true)
-#62 := [rewrite]: #61
-#59 := (iff #17 #58)
-#56 := (iff #16 true)
-#57 := [rewrite]: #56
-#54 := (iff #15 true)
-#35 := -1::int
-#38 := (* -1::int uf_2)
-#41 := (+ uf_1 #38)
-#44 := (<= 0::int #41)
-#49 := (or #44 true)
-#52 := (iff #49 true)
-#53 := [rewrite]: #52
-#50 := (iff #15 #49)
-#47 := (iff #14 true)
-#48 := [rewrite]: #47
-#45 := (iff #11 #44)
-#42 := (= #10 #41)
-#39 := (= #9 #38)
-#36 := (= #7 -1::int)
-#37 := [rewrite]: #36
-#40 := [monotonicity #37]: #39
-#43 := [monotonicity #40]: #42
-#46 := [monotonicity #43]: #45
-#51 := [monotonicity #46 #48]: #50
-#55 := [trans #51 #53]: #54
-#60 := [monotonicity #55 #57]: #59
-#64 := [trans #60 #62]: #63
-#67 := [monotonicity #64]: #66
-#71 := [trans #67 #69]: #70
-#34 := [asserted]: #18
-[mp #34 #71]: false
-unsat
-88d529b1517abb78e220ec8f58e3b3405bb2453b 212 0
-#2 := false
-decl uf_4 :: T1
-#13 := uf_4
-decl uf_1 :: (-> int int T1)
-#5 := 3::int
-decl uf_2 :: int
-#4 := uf_2
-#6 := (uf_1 uf_2 3::int)
-#559 := (= #6 uf_4)
-decl uf_3 :: (-> int int T1)
-#7 := (uf_3 3::int uf_2)
-#254 := (= #7 uf_4)
-#524 := (iff #254 #559)
-#529 := (iff #559 #254)
-#39 := (= #6 #7)
-#8 := (distinct #6 #7)
-#9 := (not #8)
-#48 := (iff #9 #39)
-#40 := (not #39)
-#43 := (not #40)
-#46 := (iff #43 #39)
-#47 := [rewrite]: #46
-#44 := (iff #9 #43)
-#41 := (iff #8 #40)
-#42 := [rewrite]: #41
-#45 := [monotonicity #42]: #44
-#49 := [trans #45 #47]: #48
-#38 := [asserted]: #9
-#52 := [mp #38 #49]: #39
-#523 := [monotonicity #52]: #529
-#530 := [symm #523]: #524
-#547 := (not #559)
-#570 := (not #254)
-#531 := (iff #570 #547)
-#525 := [monotonicity #530]: #531
-#540 := [hypothesis]: #570
-#532 := [mp #540 #525]: #547
-#256 := (>= uf_2 3::int)
-#579 := (not #256)
-#541 := (or #254 #579)
-#258 := (iff #254 #256)
-#11 := (:var 0 int)
-#10 := (:var 1 int)
-#12 := (uf_3 #10 #11)
-#581 := (pattern #12)
-#57 := 0::int
-#54 := -1::int
-#55 := (* -1::int #11)
-#56 := (+ #10 #55)
-#58 := (<= #56 0::int)
-#14 := (= #12 uf_4)
-#61 := (iff #14 #58)
-#582 := (forall (vars (?x1 int) (?x2 int)) (:pat #581) #61)
-#64 := (forall (vars (?x1 int) (?x2 int)) #61)
-#585 := (iff #64 #582)
-#583 := (iff #61 #61)
-#584 := [refl]: #583
-#586 := [quant-intro #584]: #585
-#108 := (~ #64 #64)
-#106 := (~ #61 #61)
-#107 := [refl]: #106
-#109 := [nnf-pos #107]: #108
-#15 := (<= #10 #11)
-#16 := (iff #14 #15)
-#17 := (forall (vars (?x1 int) (?x2 int)) #16)
-#65 := (iff #17 #64)
-#62 := (iff #16 #61)
-#59 := (iff #15 #58)
-#60 := [rewrite]: #59
-#63 := [monotonicity #60]: #62
-#66 := [quant-intro #63]: #65
-#50 := [asserted]: #17
-#67 := [mp #50 #66]: #64
-#101 := [mp~ #67 #109]: #64
-#587 := [mp #101 #586]: #582
-#238 := (not #582)
-#573 := (or #238 #258)
-#167 := (* -1::int uf_2)
-#252 := (+ 3::int #167)
-#253 := (<= #252 0::int)
-#245 := (iff #254 #253)
-#575 := (or #238 #245)
-#362 := (iff #575 #573)
-#243 := (iff #573 #573)
-#244 := [rewrite]: #243
-#255 := (iff #245 #258)
-#257 := (iff #253 #256)
-#185 := [rewrite]: #257
-#259 := [monotonicity #185]: #255
-#569 := [monotonicity #259]: #362
-#576 := [trans #569 #244]: #362
-#232 := [quant-inst]: #575
-#577 := [mp #232 #576]: #573
-#535 := [unit-resolution #577 #587]: #258
-#578 := (not #258)
-#574 := (or #578 #254 #579)
-#580 := [def-axiom]: #574
-#382 := [unit-resolution #580 #535]: #541
-#383 := [unit-resolution #382 #540]: #579
-#526 := (or #559 #256)
-#273 := (iff #559 #579)
-#18 := (uf_1 #10 #11)
-#588 := (pattern #18)
-#82 := (>= #56 0::int)
-#81 := (not #82)
-#53 := (= uf_4 #18)
-#88 := (iff #53 #81)
-#589 := (forall (vars (?x3 int) (?x4 int)) (:pat #588) #88)
-#93 := (forall (vars (?x3 int) (?x4 int)) #88)
-#592 := (iff #93 #589)
-#590 := (iff #88 #88)
-#591 := [refl]: #590
-#593 := [quant-intro #591]: #592
-#102 := (~ #93 #93)
-#99 := (~ #88 #88)
-#110 := [refl]: #99
-#103 := [nnf-pos #110]: #102
-#20 := (< #10 #11)
-#19 := (= #18 uf_4)
-#21 := (iff #19 #20)
-#22 := (forall (vars (?x3 int) (?x4 int)) #21)
-#96 := (iff #22 #93)
-#73 := (iff #20 #53)
-#78 := (forall (vars (?x3 int) (?x4 int)) #73)
-#94 := (iff #78 #93)
-#91 := (iff #73 #88)
-#85 := (iff #81 #53)
-#89 := (iff #85 #88)
-#90 := [rewrite]: #89
-#86 := (iff #73 #85)
-#83 := (iff #20 #81)
-#84 := [rewrite]: #83
-#87 := [monotonicity #84]: #86
-#92 := [trans #87 #90]: #91
-#95 := [quant-intro #92]: #94
-#79 := (iff #22 #78)
-#76 := (iff #21 #73)
-#70 := (iff #53 #20)
-#74 := (iff #70 #73)
-#75 := [rewrite]: #74
-#71 := (iff #21 #70)
-#68 := (iff #19 #53)
-#69 := [rewrite]: #68
-#72 := [monotonicity #69]: #71
-#77 := [trans #72 #75]: #76
-#80 := [quant-intro #77]: #79
-#97 := [trans #80 #95]: #96
-#51 := [asserted]: #22
-#98 := [mp #51 #97]: #93
-#111 := [mp~ #98 #103]: #93
-#594 := [mp #111 #593]: #589
-#552 := (not #589)
-#549 := (or #552 #273)
-#219 := (* -1::int 3::int)
-#220 := (+ uf_2 #219)
-#221 := (>= #220 0::int)
-#222 := (not #221)
-#556 := (= uf_4 #6)
-#558 := (iff #556 #222)
-#553 := (or #552 #558)
-#264 := (iff #553 #549)
-#266 := (iff #549 #549)
-#544 := [rewrite]: #266
-#274 := (iff #558 #273)
-#550 := (iff #222 #579)
-#280 := (iff #221 #256)
-#562 := -3::int
-#206 := (+ -3::int uf_2)
-#554 := (>= #206 0::int)
-#278 := (iff #554 #256)
-#279 := [rewrite]: #278
-#555 := (iff #221 #554)
-#565 := (= #220 #206)
-#201 := (+ uf_2 -3::int)
-#207 := (= #201 #206)
-#567 := [rewrite]: #207
-#564 := (= #220 #201)
-#557 := (= #219 -3::int)
-#563 := [rewrite]: #557
-#566 := [monotonicity #563]: #564
-#568 := [trans #566 #567]: #565
-#277 := [monotonicity #568]: #555
-#173 := [trans #277 #279]: #280
-#551 := [monotonicity #173]: #550
-#560 := (iff #556 #559)
-#561 := [rewrite]: #560
-#548 := [monotonicity #561 #551]: #274
-#265 := [monotonicity #548]: #264
-#545 := [trans #265 #544]: #264
-#263 := [quant-inst]: #553
-#260 := [mp #263 #545]: #549
-#384 := [unit-resolution #260 #594]: #273
-#542 := (not #273)
-#546 := (or #542 #559 #256)
-#543 := [def-axiom]: #546
-#527 := [unit-resolution #543 #384]: #526
-#528 := [unit-resolution #527 #383]: #559
-#361 := [unit-resolution #528 #532]: false
-#363 := [lemma #361]: #254
-#522 := [mp #363 #530]: #559
-#364 := (or #570 #256)
-#230 := (or #578 #570 #256)
-#235 := [def-axiom]: #230
-#517 := [unit-resolution #235 #535]: #364
-#518 := [unit-resolution #517 #363]: #256
-#520 := (or #547 #579)
-#536 := (or #542 #547 #579)
-#537 := [def-axiom]: #536
-#521 := [unit-resolution #537 #384]: #520
-#519 := [unit-resolution #521 #518]: #547
-[unit-resolution #519 #522]: false
-unsat
-bf36938883aa38907d4d00c1860a1d18e7b620d0 86 0
-#2 := false
-decl uf_1 :: int
-#5 := uf_1
-#7 := 2::int
-#29 := (* 2::int uf_1)
-#4 := 0::int
-#54 := (= 0::int #29)
-#55 := (not #54)
-#61 := (= #29 0::int)
-#104 := (not #61)
-#110 := (iff #104 #55)
-#108 := (iff #61 #54)
-#109 := [commutativity]: #108
-#111 := [monotonicity #109]: #110
-#62 := (<= #29 0::int)
-#100 := (not #62)
-#30 := (<= uf_1 0::int)
-#31 := (not #30)
-#6 := (< 0::int uf_1)
-#32 := (iff #6 #31)
-#33 := [rewrite]: #32
-#27 := [asserted]: #6
-#34 := [mp #27 #33]: #31
-#101 := (or #100 #30)
-#102 := [th-lemma]: #101
-#103 := [unit-resolution #102 #34]: #100
-#105 := (or #104 #62)
-#106 := [th-lemma]: #105
-#107 := [unit-resolution #106 #103]: #104
-#112 := [mp #107 #111]: #55
-#56 := (= uf_1 #29)
-#57 := (not #56)
-#53 := (= 0::int uf_1)
-#50 := (not #53)
-#58 := (and #50 #55 #57)
-#69 := (not #58)
-#42 := (distinct 0::int uf_1 #29)
-#47 := (not #42)
-#9 := (- uf_1 uf_1)
-#8 := (* uf_1 2::int)
-#10 := (distinct uf_1 #8 #9)
-#11 := (not #10)
-#48 := (iff #11 #47)
-#45 := (iff #10 #42)
-#39 := (distinct uf_1 #29 0::int)
-#43 := (iff #39 #42)
-#44 := [rewrite]: #43
-#40 := (iff #10 #39)
-#37 := (= #9 0::int)
-#38 := [rewrite]: #37
-#35 := (= #8 #29)
-#36 := [rewrite]: #35
-#41 := [monotonicity #36 #38]: #40
-#46 := [trans #41 #44]: #45
-#49 := [monotonicity #46]: #48
-#28 := [asserted]: #11
-#52 := [mp #28 #49]: #47
-#80 := (or #42 #69)
-#81 := [def-axiom]: #80
-#82 := [unit-resolution #81 #52]: #69
-#59 := (= uf_1 0::int)
-#83 := (not #59)
-#89 := (iff #83 #50)
-#87 := (iff #59 #53)
-#88 := [commutativity]: #87
-#90 := [monotonicity #88]: #89
-#84 := (or #83 #30)
-#85 := [th-lemma]: #84
-#86 := [unit-resolution #85 #34]: #83
-#91 := [mp #86 #90]: #50
-#64 := -1::int
-#65 := (* -1::int #29)
-#66 := (+ uf_1 #65)
-#68 := (>= #66 0::int)
-#92 := (not #68)
-#93 := (or #92 #30)
-#94 := [th-lemma]: #93
-#95 := [unit-resolution #94 #34]: #92
-#96 := (or #57 #68)
-#97 := [th-lemma]: #96
-#98 := [unit-resolution #97 #95]: #57
-#76 := (or #58 #53 #54 #56)
-#77 := [def-axiom]: #76
-#99 := [unit-resolution #77 #98 #91 #82]: #54
-[unit-resolution #99 #112]: false
-unsat
-d4ecdf21a3d5d758670676ddb9e6e093ea9fcc15 673 0
-#2 := false
-#169 := 0::int
-decl uf_2 :: int
-#5 := uf_2
-#166 := -1::int
-#202 := (* -1::int uf_2)
-decl uf_1 :: int
-#4 := uf_1
-#203 := (+ uf_1 #202)
-#218 := (>= #203 0::int)
-decl uf_3 :: int
-#7 := uf_3
-#167 := (* -1::int uf_3)
-#168 := (+ uf_1 #167)
-#178 := (>= #168 0::int)
-#217 := (not #218)
-#204 := (<= #203 0::int)
-#205 := (not #204)
-#692 := [hypothesis]: #205
-#177 := (not #178)
-#693 := (or #177 #204)
-#170 := (<= #168 0::int)
-#191 := (+ uf_2 #167)
-#237 := (<= #191 0::int)
-#238 := (not #237)
-#171 := (not #170)
-#685 := [hypothesis]: #171
-#190 := (>= #191 0::int)
-#455 := (or #170 #190)
-#189 := (not #190)
-#197 := (and #171 #189)
-#354 := (not #197)
-#464 := (iff #354 #455)
-#456 := (not #455)
-#459 := (not #456)
-#462 := (iff #459 #455)
-#463 := [rewrite]: #462
-#460 := (iff #354 #459)
-#457 := (iff #197 #456)
-#458 := [rewrite]: #457
-#461 := [monotonicity #458]: #460
-#465 := [trans #461 #463]: #464
-#287 := (and #189 #217)
-#10 := (= uf_2 uf_3)
-#279 := (and #10 #217)
-#273 := (and #177 #238)
-#15 := (= uf_1 uf_3)
-#268 := (and #15 #238)
-#17 := (= uf_1 uf_2)
-#260 := (and #17 #189)
-#252 := (and #205 #238)
-#244 := (and #17 #238)
-#232 := (and #171 #217)
-#224 := (and #15 #217)
-#214 := (and #10 #205)
-#211 := (and #177 #205)
-#208 := (and #15 #205)
-#184 := (and #17 #177)
-#174 := (and #10 #171)
-#115 := (and #10 #17)
-#337 := (or #115 #174 #184 #197 #208 #211 #214 #224 #232 #244 #252 #260 #268 #273 #279 #287)
-#342 := (not #337)
-#21 := (= uf_2 uf_1)
-#27 := (= uf_3 uf_2)
-#34 := (and #27 #21)
-#23 := (< uf_3 uf_1)
-#33 := (and #10 #23)
-#35 := (or #33 #34)
-#12 := (< uf_1 uf_3)
-#32 := (and #21 #12)
-#36 := (or #32 #35)
-#8 := (< uf_2 uf_3)
-#31 := (and #8 #23)
-#37 := (or #31 #36)
-#25 := (= uf_3 uf_1)
-#19 := (< uf_2 uf_1)
-#30 := (and #19 #25)
-#38 := (or #30 #37)
-#29 := (and #19 #12)
-#39 := (or #29 #38)
-#28 := (and #27 #19)
-#40 := (or #28 #39)
-#6 := (< uf_1 uf_2)
-#26 := (and #25 #6)
-#41 := (or #26 #40)
-#24 := (and #23 #6)
-#42 := (or #24 #41)
-#13 := (< uf_3 uf_2)
-#22 := (and #13 #21)
-#43 := (or #22 #42)
-#20 := (and #13 #19)
-#44 := (or #20 #43)
-#18 := (and #17 #8)
-#45 := (or #18 #44)
-#16 := (and #15 #13)
-#46 := (or #16 #45)
-#14 := (and #12 #13)
-#47 := (or #14 #46)
-#11 := (and #6 #10)
-#48 := (or #11 #47)
-#9 := (and #6 #8)
-#49 := (or #9 #48)
-#50 := (not #49)
-#345 := (iff #50 #342)
-#118 := (or #33 #115)
-#110 := (and #12 #17)
-#121 := (or #110 #118)
-#124 := (or #31 #121)
-#102 := (and #15 #19)
-#127 := (or #102 #124)
-#96 := (and #12 #19)
-#130 := (or #96 #127)
-#93 := (and #10 #19)
-#133 := (or #93 #130)
-#86 := (and #6 #15)
-#136 := (or #86 #133)
-#78 := (and #6 #23)
-#139 := (or #78 #136)
-#75 := (and #13 #17)
-#142 := (or #75 #139)
-#145 := (or #20 #142)
-#70 := (and #8 #17)
-#148 := (or #70 #145)
-#67 := (and #13 #15)
-#151 := (or #67 #148)
-#154 := (or #14 #151)
-#157 := (or #11 #154)
-#160 := (or #9 #157)
-#163 := (not #160)
-#343 := (iff #163 #342)
-#340 := (iff #160 #337)
-#292 := (or #174 #115)
-#295 := (or #184 #292)
-#298 := (or #197 #295)
-#301 := (or #208 #298)
-#304 := (or #211 #301)
-#307 := (or #214 #304)
-#310 := (or #224 #307)
-#313 := (or #232 #310)
-#316 := (or #244 #313)
-#319 := (or #252 #316)
-#322 := (or #260 #319)
-#325 := (or #268 #322)
-#328 := (or #273 #325)
-#331 := (or #279 #328)
-#334 := (or #287 #331)
-#338 := (iff #334 #337)
-#339 := [rewrite]: #338
-#335 := (iff #160 #334)
-#332 := (iff #157 #331)
-#329 := (iff #154 #328)
-#326 := (iff #151 #325)
-#323 := (iff #148 #322)
-#320 := (iff #145 #319)
-#317 := (iff #142 #316)
-#314 := (iff #139 #313)
-#311 := (iff #136 #310)
-#308 := (iff #133 #307)
-#305 := (iff #130 #304)
-#302 := (iff #127 #301)
-#299 := (iff #124 #298)
-#296 := (iff #121 #295)
-#293 := (iff #118 #292)
-#175 := (iff #33 #174)
-#172 := (iff #23 #171)
-#173 := [rewrite]: #172
-#176 := [monotonicity #173]: #175
-#294 := [monotonicity #176]: #293
-#187 := (iff #110 #184)
-#181 := (and #177 #17)
-#185 := (iff #181 #184)
-#186 := [rewrite]: #185
-#182 := (iff #110 #181)
-#179 := (iff #12 #177)
-#180 := [rewrite]: #179
-#183 := [monotonicity #180]: #182
-#188 := [trans #183 #186]: #187
-#297 := [monotonicity #188 #294]: #296
-#200 := (iff #31 #197)
-#194 := (and #189 #171)
-#198 := (iff #194 #197)
-#199 := [rewrite]: #198
-#195 := (iff #31 #194)
-#192 := (iff #8 #189)
-#193 := [rewrite]: #192
-#196 := [monotonicity #193 #173]: #195
-#201 := [trans #196 #199]: #200
-#300 := [monotonicity #201 #297]: #299
-#209 := (iff #102 #208)
-#206 := (iff #19 #205)
-#207 := [rewrite]: #206
-#210 := [monotonicity #207]: #209
-#303 := [monotonicity #210 #300]: #302
-#212 := (iff #96 #211)
-#213 := [monotonicity #180 #207]: #212
-#306 := [monotonicity #213 #303]: #305
-#215 := (iff #93 #214)
-#216 := [monotonicity #207]: #215
-#309 := [monotonicity #216 #306]: #308
-#227 := (iff #86 #224)
-#221 := (and #217 #15)
-#225 := (iff #221 #224)
-#226 := [rewrite]: #225
-#222 := (iff #86 #221)
-#219 := (iff #6 #217)
-#220 := [rewrite]: #219
-#223 := [monotonicity #220]: #222
-#228 := [trans #223 #226]: #227
-#312 := [monotonicity #228 #309]: #311
-#235 := (iff #78 #232)
-#229 := (and #217 #171)
-#233 := (iff #229 #232)
-#234 := [rewrite]: #233
-#230 := (iff #78 #229)
-#231 := [monotonicity #220 #173]: #230
-#236 := [trans #231 #234]: #235
-#315 := [monotonicity #236 #312]: #314
-#247 := (iff #75 #244)
-#241 := (and #238 #17)
-#245 := (iff #241 #244)
-#246 := [rewrite]: #245
-#242 := (iff #75 #241)
-#239 := (iff #13 #238)
-#240 := [rewrite]: #239
-#243 := [monotonicity #240]: #242
-#248 := [trans #243 #246]: #247
-#318 := [monotonicity #248 #315]: #317
-#255 := (iff #20 #252)
-#249 := (and #238 #205)
-#253 := (iff #249 #252)
-#254 := [rewrite]: #253
-#250 := (iff #20 #249)
-#251 := [monotonicity #240 #207]: #250
-#256 := [trans #251 #254]: #255
-#321 := [monotonicity #256 #318]: #320
-#263 := (iff #70 #260)
-#257 := (and #189 #17)
-#261 := (iff #257 #260)
-#262 := [rewrite]: #261
-#258 := (iff #70 #257)
-#259 := [monotonicity #193]: #258
-#264 := [trans #259 #262]: #263
-#324 := [monotonicity #264 #321]: #323
-#271 := (iff #67 #268)
-#265 := (and #238 #15)
-#269 := (iff #265 #268)
-#270 := [rewrite]: #269
-#266 := (iff #67 #265)
-#267 := [monotonicity #240]: #266
-#272 := [trans #267 #270]: #271
-#327 := [monotonicity #272 #324]: #326
-#274 := (iff #14 #273)
-#275 := [monotonicity #180 #240]: #274
-#330 := [monotonicity #275 #327]: #329
-#282 := (iff #11 #279)
-#276 := (and #217 #10)
-#280 := (iff #276 #279)
-#281 := [rewrite]: #280
-#277 := (iff #11 #276)
-#278 := [monotonicity #220]: #277
-#283 := [trans #278 #281]: #282
-#333 := [monotonicity #283 #330]: #332
-#290 := (iff #9 #287)
-#284 := (and #217 #189)
-#288 := (iff #284 #287)
-#289 := [rewrite]: #288
-#285 := (iff #9 #284)
-#286 := [monotonicity #220 #193]: #285
-#291 := [trans #286 #289]: #290
-#336 := [monotonicity #291 #333]: #335
-#341 := [trans #336 #339]: #340
-#344 := [monotonicity #341]: #343
-#164 := (iff #50 #163)
-#161 := (iff #49 #160)
-#158 := (iff #48 #157)
-#155 := (iff #47 #154)
-#152 := (iff #46 #151)
-#149 := (iff #45 #148)
-#146 := (iff #44 #145)
-#143 := (iff #43 #142)
-#140 := (iff #42 #139)
-#137 := (iff #41 #136)
-#134 := (iff #40 #133)
-#131 := (iff #39 #130)
-#128 := (iff #38 #127)
-#125 := (iff #37 #124)
-#122 := (iff #36 #121)
-#119 := (iff #35 #118)
-#116 := (iff #34 #115)
-#73 := (iff #21 #17)
-#74 := [rewrite]: #73
-#91 := (iff #27 #10)
-#92 := [rewrite]: #91
-#117 := [monotonicity #92 #74]: #116
-#120 := [monotonicity #117]: #119
-#113 := (iff #32 #110)
-#107 := (and #17 #12)
-#111 := (iff #107 #110)
-#112 := [rewrite]: #111
-#108 := (iff #32 #107)
-#109 := [monotonicity #74]: #108
-#114 := [trans #109 #112]: #113
-#123 := [monotonicity #114 #120]: #122
-#126 := [monotonicity #123]: #125
-#105 := (iff #30 #102)
-#99 := (and #19 #15)
-#103 := (iff #99 #102)
-#104 := [rewrite]: #103
-#100 := (iff #30 #99)
-#81 := (iff #25 #15)
-#82 := [rewrite]: #81
-#101 := [monotonicity #82]: #100
-#106 := [trans #101 #104]: #105
-#129 := [monotonicity #106 #126]: #128
-#97 := (iff #29 #96)
-#98 := [rewrite]: #97
-#132 := [monotonicity #98 #129]: #131
-#94 := (iff #28 #93)
-#95 := [monotonicity #92]: #94
-#135 := [monotonicity #95 #132]: #134
-#89 := (iff #26 #86)
-#83 := (and #15 #6)
-#87 := (iff #83 #86)
-#88 := [rewrite]: #87
-#84 := (iff #26 #83)
-#85 := [monotonicity #82]: #84
-#90 := [trans #85 #88]: #89
-#138 := [monotonicity #90 #135]: #137
-#79 := (iff #24 #78)
-#80 := [rewrite]: #79
-#141 := [monotonicity #80 #138]: #140
-#76 := (iff #22 #75)
-#77 := [monotonicity #74]: #76
-#144 := [monotonicity #77 #141]: #143
-#147 := [monotonicity #144]: #146
-#71 := (iff #18 #70)
-#72 := [rewrite]: #71
-#150 := [monotonicity #72 #147]: #149
-#68 := (iff #16 #67)
-#69 := [rewrite]: #68
-#153 := [monotonicity #69 #150]: #152
-#156 := [monotonicity #153]: #155
-#159 := [monotonicity #156]: #158
-#162 := [monotonicity #159]: #161
-#165 := [monotonicity #162]: #164
-#346 := [trans #165 #344]: #345
-#66 := [asserted]: #50
-#347 := [mp #66 #346]: #342
-#355 := [not-or-elim #347]: #354
-#466 := [mp #355 #465]: #455
-#686 := [unit-resolution #466 #685]: #190
-#427 := (or #170 #189 #238)
-#350 := (not #174)
-#430 := (iff #350 #427)
-#382 := (or #189 #238)
-#414 := (or #170 #382)
-#428 := (iff #414 #427)
-#429 := [rewrite]: #428
-#425 := (iff #350 #414)
-#415 := (not #414)
-#420 := (not #415)
-#423 := (iff #420 #414)
-#424 := [rewrite]: #423
-#421 := (iff #350 #420)
-#418 := (iff #174 #415)
-#380 := (not #382)
-#411 := (and #380 #171)
-#416 := (iff #411 #415)
-#417 := [rewrite]: #416
-#412 := (iff #174 #411)
-#383 := (iff #10 #380)
-#384 := [rewrite]: #383
-#413 := [monotonicity #384]: #412
-#419 := [trans #413 #417]: #418
-#422 := [monotonicity #419]: #421
-#426 := [trans #422 #424]: #425
-#431 := [trans #426 #429]: #430
-#351 := [not-or-elim #347]: #350
-#432 := [mp #351 #431]: #427
-#687 := [unit-resolution #432 #686 #685]: #238
-#549 := (or #170 #218)
-#364 := (not #232)
-#558 := (iff #364 #549)
-#550 := (not #549)
-#553 := (not #550)
-#556 := (iff #553 #549)
-#557 := [rewrite]: #556
-#554 := (iff #364 #553)
-#551 := (iff #232 #550)
-#552 := [rewrite]: #551
-#555 := [monotonicity #552]: #554
-#559 := [trans #555 #557]: #558
-#365 := [not-or-elim #347]: #364
-#560 := [mp #365 #559]: #549
-#688 := [unit-resolution #560 #685]: #218
-#577 := (or #205 #217 #237)
-#366 := (not #244)
-#580 := (iff #366 #577)
-#385 := (or #205 #217)
-#564 := (or #237 #385)
-#578 := (iff #564 #577)
-#579 := [rewrite]: #578
-#575 := (iff #366 #564)
-#565 := (not #564)
-#570 := (not #565)
-#573 := (iff #570 #564)
-#574 := [rewrite]: #573
-#571 := (iff #366 #570)
-#568 := (iff #244 #565)
-#386 := (not #385)
-#561 := (and #386 #238)
-#566 := (iff #561 #565)
-#567 := [rewrite]: #566
-#562 := (iff #244 #561)
-#387 := (iff #17 #386)
-#388 := [rewrite]: #387
-#563 := [monotonicity #388]: #562
-#569 := [trans #563 #567]: #568
-#572 := [monotonicity #569]: #571
-#576 := [trans #572 #574]: #575
-#581 := [trans #576 #579]: #580
-#367 := [not-or-elim #347]: #366
-#582 := [mp #367 #581]: #577
-#689 := [unit-resolution #582 #688 #687]: #205
-#583 := (or #204 #237)
-#368 := (not #252)
-#592 := (iff #368 #583)
-#584 := (not #583)
-#587 := (not #584)
-#590 := (iff #587 #583)
-#591 := [rewrite]: #590
-#588 := (iff #368 #587)
-#585 := (iff #252 #584)
-#586 := [rewrite]: #585
-#589 := [monotonicity #586]: #588
-#593 := [trans #589 #591]: #592
-#369 := [not-or-elim #347]: #368
-#594 := [mp #369 #593]: #583
-#690 := [unit-resolution #594 #689 #687]: false
-#691 := [lemma #690]: #170
-#487 := (or #171 #177 #204)
-#356 := (not #208)
-#490 := (iff #356 #487)
-#467 := (or #171 #177)
-#474 := (or #204 #467)
-#488 := (iff #474 #487)
-#489 := [rewrite]: #488
-#485 := (iff #356 #474)
-#475 := (not #474)
-#480 := (not #475)
-#483 := (iff #480 #474)
-#484 := [rewrite]: #483
-#481 := (iff #356 #480)
-#478 := (iff #208 #475)
-#468 := (not #467)
-#471 := (and #468 #205)
-#476 := (iff #471 #475)
-#477 := [rewrite]: #476
-#472 := (iff #208 #471)
-#469 := (iff #15 #468)
-#470 := [rewrite]: #469
-#473 := [monotonicity #470]: #472
-#479 := [trans #473 #477]: #478
-#482 := [monotonicity #479]: #481
-#486 := [trans #482 #484]: #485
-#491 := [trans #486 #489]: #490
-#357 := [not-or-elim #347]: #356
-#492 := [mp #357 #491]: #487
-#694 := [unit-resolution #492 #691]: #693
-#695 := [unit-resolution #694 #692]: #177
-#493 := (or #178 #204)
-#358 := (not #211)
-#502 := (iff #358 #493)
-#494 := (not #493)
-#497 := (not #494)
-#500 := (iff #497 #493)
-#501 := [rewrite]: #500
-#498 := (iff #358 #497)
-#495 := (iff #211 #494)
-#496 := [rewrite]: #495
-#499 := [monotonicity #496]: #498
-#503 := [trans #499 #501]: #502
-#359 := [not-or-elim #347]: #358
-#504 := [mp #359 #503]: #493
-#696 := [unit-resolution #504 #695 #692]: false
-#697 := [lemma #696]: #204
-#698 := [hypothesis]: #177
-#449 := (or #178 #205 #217)
-#352 := (not #184)
-#452 := (iff #352 #449)
-#436 := (or #178 #385)
-#450 := (iff #436 #449)
-#451 := [rewrite]: #450
-#447 := (iff #352 #436)
-#437 := (not #436)
-#442 := (not #437)
-#445 := (iff #442 #436)
-#446 := [rewrite]: #445
-#443 := (iff #352 #442)
-#440 := (iff #184 #437)
-#433 := (and #386 #177)
-#438 := (iff #433 #437)
-#439 := [rewrite]: #438
-#434 := (iff #184 #433)
-#435 := [monotonicity #388]: #434
-#441 := [trans #435 #439]: #440
-#444 := [monotonicity #441]: #443
-#448 := [trans #444 #446]: #447
-#453 := [trans #448 #451]: #452
-#353 := [not-or-elim #347]: #352
-#454 := [mp #353 #453]: #449
-#699 := [unit-resolution #454 #698 #697]: #217
-#639 := (or #178 #237)
-#374 := (not #273)
-#648 := (iff #374 #639)
-#640 := (not #639)
-#643 := (not #640)
-#646 := (iff #643 #639)
-#647 := [rewrite]: #646
-#644 := (iff #374 #643)
-#641 := (iff #273 #640)
-#642 := [rewrite]: #641
-#645 := [monotonicity #642]: #644
-#649 := [trans #645 #647]: #648
-#375 := [not-or-elim #347]: #374
-#650 := [mp #375 #649]: #639
-#700 := [unit-resolution #650 #698]: #237
-#667 := (or #189 #218 #238)
-#376 := (not #279)
-#670 := (iff #376 #667)
-#654 := (or #218 #382)
-#668 := (iff #654 #667)
-#669 := [rewrite]: #668
-#665 := (iff #376 #654)
-#655 := (not #654)
-#660 := (not #655)
-#663 := (iff #660 #654)
-#664 := [rewrite]: #663
-#661 := (iff #376 #660)
-#658 := (iff #279 #655)
-#651 := (and #380 #217)
-#656 := (iff #651 #655)
-#657 := [rewrite]: #656
-#652 := (iff #279 #651)
-#653 := [monotonicity #384]: #652
-#659 := [trans #653 #657]: #658
-#662 := [monotonicity #659]: #661
-#666 := [trans #662 #664]: #665
-#671 := [trans #666 #669]: #670
-#377 := [not-or-elim #347]: #376
-#672 := [mp #377 #671]: #667
-#701 := [unit-resolution #672 #699 #700]: #189
-#673 := (or #190 #218)
-#378 := (not #287)
-#682 := (iff #378 #673)
-#674 := (not #673)
-#677 := (not #674)
-#680 := (iff #677 #673)
-#681 := [rewrite]: #680
-#678 := (iff #378 #677)
-#675 := (iff #287 #674)
-#676 := [rewrite]: #675
-#679 := [monotonicity #676]: #678
-#683 := [trans #679 #681]: #682
-#379 := [not-or-elim #347]: #378
-#684 := [mp #379 #683]: #673
-#702 := [unit-resolution #684 #701 #699]: false
-#703 := [lemma #702]: #178
-#704 := (or #177 #218)
-#543 := (or #171 #177 #218)
-#362 := (not #224)
-#546 := (iff #362 #543)
-#530 := (or #218 #467)
-#544 := (iff #530 #543)
-#545 := [rewrite]: #544
-#541 := (iff #362 #530)
-#531 := (not #530)
-#536 := (not #531)
-#539 := (iff #536 #530)
-#540 := [rewrite]: #539
-#537 := (iff #362 #536)
-#534 := (iff #224 #531)
-#527 := (and #468 #217)
-#532 := (iff #527 #531)
-#533 := [rewrite]: #532
-#528 := (iff #224 #527)
-#529 := [monotonicity #470]: #528
-#535 := [trans #529 #533]: #534
-#538 := [monotonicity #535]: #537
-#542 := [trans #538 #540]: #541
-#547 := [trans #542 #545]: #546
-#363 := [not-or-elim #347]: #362
-#548 := [mp #363 #547]: #543
-#705 := [unit-resolution #548 #691]: #704
-#706 := [unit-resolution #705 #703]: #218
-#707 := (or #177 #237)
-#633 := (or #171 #177 #237)
-#372 := (not #268)
-#636 := (iff #372 #633)
-#620 := (or #237 #467)
-#634 := (iff #620 #633)
-#635 := [rewrite]: #634
-#631 := (iff #372 #620)
-#621 := (not #620)
-#626 := (not #621)
-#629 := (iff #626 #620)
-#630 := [rewrite]: #629
-#627 := (iff #372 #626)
-#624 := (iff #268 #621)
-#617 := (and #468 #238)
-#622 := (iff #617 #621)
-#623 := [rewrite]: #622
-#618 := (iff #268 #617)
-#619 := [monotonicity #470]: #618
-#625 := [trans #619 #623]: #624
-#628 := [monotonicity #625]: #627
-#632 := [trans #628 #630]: #631
-#637 := [trans #632 #635]: #636
-#373 := [not-or-elim #347]: #372
-#638 := [mp #373 #637]: #633
-#708 := [unit-resolution #638 #691]: #707
-#709 := [unit-resolution #708 #703]: #237
-#611 := (or #190 #205 #217)
-#370 := (not #260)
-#614 := (iff #370 #611)
-#598 := (or #190 #385)
-#612 := (iff #598 #611)
-#613 := [rewrite]: #612
-#609 := (iff #370 #598)
-#599 := (not #598)
-#604 := (not #599)
-#607 := (iff #604 #598)
-#608 := [rewrite]: #607
-#605 := (iff #370 #604)
-#602 := (iff #260 #599)
-#595 := (and #386 #189)
-#600 := (iff #595 #599)
-#601 := [rewrite]: #600
-#596 := (iff #260 #595)
-#597 := [monotonicity #388]: #596
-#603 := [trans #597 #601]: #602
-#606 := [monotonicity #603]: #605
-#610 := [trans #606 #608]: #609
-#615 := [trans #610 #613]: #614
-#371 := [not-or-elim #347]: #370
-#616 := [mp #371 #615]: #611
-#710 := [unit-resolution #616 #706 #697]: #190
-#405 := (or #189 #205 #217 #238)
-#348 := (not #115)
-#408 := (iff #348 #405)
-#392 := (or #382 #385)
-#406 := (iff #392 #405)
-#407 := [rewrite]: #406
-#403 := (iff #348 #392)
-#393 := (not #392)
-#398 := (not #393)
-#401 := (iff #398 #392)
-#402 := [rewrite]: #401
-#399 := (iff #348 #398)
-#396 := (iff #115 #393)
-#389 := (and #380 #386)
-#394 := (iff #389 #393)
-#395 := [rewrite]: #394
-#390 := (iff #115 #389)
-#391 := [monotonicity #384 #388]: #390
-#397 := [trans #391 #395]: #396
-#400 := [monotonicity #397]: #399
-#404 := [trans #400 #402]: #403
-#409 := [trans #404 #407]: #408
-#349 := [not-or-elim #347]: #348
-#410 := [mp #349 #409]: #405
-[unit-resolution #410 #710 #709 #697 #706]: false
-unsat
-efea5b71ce31ca68241e4ee8755a8335445d88e6 2291 0
-#2 := false
-#6 := 0::int
-decl z3name!0 :: int
-#647 := z3name!0
-#81 := -1::int
-#656 := (* -1::int z3name!0)
-decl uf_2 :: int
-#5 := uf_2
-#882 := (+ uf_2 #656)
-#883 := (<= #882 0::int)
-#885 := (not #883)
-#881 := (>= #882 0::int)
-#884 := (not #881)
-#886 := (or #884 #885)
-decl uf_11 :: int
-#55 := uf_11
-#513 := (* -1::int uf_11)
-#514 := (+ uf_2 #513)
-#515 := (<= #514 0::int)
-decl z3name!5 :: int
-#777 := z3name!5
-decl uf_7 :: int
-#31 := uf_7
-#1083 := (+ uf_7 z3name!5)
-#1084 := (<= #1083 0::int)
-#335 := (>= uf_7 0::int)
-#1085 := (>= #1083 0::int)
-#1087 := (not #1085)
-#1086 := (not #1084)
-#1088 := (or #1086 #1087)
-#2302 := [hypothesis]: #1086
-#1289 := (or #1088 #1084)
-#1290 := [def-axiom]: #1289
-#2303 := [unit-resolution #1290 #2302]: #1088
-#1089 := (not #1088)
-#1092 := (or #335 #1089)
-#1099 := (not #1092)
-#786 := (* -1::int z3name!5)
-#1072 := (+ uf_7 #786)
-#1073 := (<= #1072 0::int)
-#1075 := (not #1073)
-#1071 := (>= #1072 0::int)
-#1074 := (not #1071)
-#1076 := (or #1074 #1075)
-#1077 := (not #1076)
-#336 := (not #335)
-#1080 := (or #336 #1077)
-#1098 := (not #1080)
-#1100 := (or #1098 #1099)
-#1101 := (not #1100)
-#318 := (* -1::int uf_7)
-#780 := (= z3name!5 #318)
-#781 := (or #335 #780)
-#778 := (= z3name!5 uf_7)
-#779 := (or #336 #778)
-#782 := (and #779 #781)
-#1104 := (iff #782 #1101)
-#1095 := (and #1080 #1092)
-#1102 := (iff #1095 #1101)
-#1103 := [rewrite]: #1102
-#1096 := (iff #782 #1095)
-#1093 := (iff #781 #1092)
-#1090 := (iff #780 #1089)
-#1091 := [rewrite]: #1090
-#1094 := [monotonicity #1091]: #1093
-#1081 := (iff #779 #1080)
-#1078 := (iff #778 #1077)
-#1079 := [rewrite]: #1078
-#1082 := [monotonicity #1079]: #1081
-#1097 := [monotonicity #1082 #1094]: #1096
-#1105 := [trans #1097 #1103]: #1104
-#783 := [intro-def]: #782
-#1106 := [mp #783 #1105]: #1101
-#1108 := [not-or-elim #1106]: #1092
-#2304 := [unit-resolution #1108 #2303]: #335
-decl uf_4 :: int
-#13 := uf_4
-#194 := (>= uf_4 0::int)
-decl uf_10 :: int
-#49 := uf_10
-#459 := (* -1::int uf_10)
-decl uf_3 :: int
-#10 := uf_3
-#508 := (+ uf_3 #459)
-#509 := (>= #508 0::int)
-decl z3name!1 :: int
-#673 := z3name!1
-#682 := (* -1::int z3name!1)
-decl uf_1 :: int
-#4 := uf_1
-#920 := (+ uf_1 #682)
-#921 := (<= #920 0::int)
-#931 := (+ uf_1 z3name!1)
-#933 := (>= #931 0::int)
-#935 := (not #933)
-#932 := (<= #931 0::int)
-#934 := (not #932)
-#936 := (or #934 #935)
-#937 := (not #936)
-#147 := (>= uf_1 0::int)
-#148 := (not #147)
-#923 := (not #921)
-#919 := (>= #920 0::int)
-#922 := (not #919)
-#924 := (or #922 #923)
-#2022 := [hypothesis]: #923
-#1237 := (or #924 #921)
-#1238 := [def-axiom]: #1237
-#2023 := [unit-resolution #1238 #2022]: #924
-#925 := (not #924)
-#928 := (or #148 #925)
-#940 := (or #147 #937)
-#947 := (not #940)
-#946 := (not #928)
-#948 := (or #946 #947)
-#949 := (not #948)
-#130 := (* -1::int uf_1)
-#676 := (= z3name!1 #130)
-#677 := (or #147 #676)
-#674 := (= z3name!1 uf_1)
-#675 := (or #148 #674)
-#678 := (and #675 #677)
-#952 := (iff #678 #949)
-#943 := (and #928 #940)
-#950 := (iff #943 #949)
-#951 := [rewrite]: #950
-#944 := (iff #678 #943)
-#941 := (iff #677 #940)
-#938 := (iff #676 #937)
-#939 := [rewrite]: #938
-#942 := [monotonicity #939]: #941
-#929 := (iff #675 #928)
-#926 := (iff #674 #925)
-#927 := [rewrite]: #926
-#930 := [monotonicity #927]: #929
-#945 := [monotonicity #930 #942]: #944
-#953 := [trans #945 #951]: #952
-#679 := [intro-def]: #678
-#954 := [mp #679 #953]: #949
-#955 := [not-or-elim #954]: #928
-#2024 := [unit-resolution #955 #2023]: #148
-#956 := [not-or-elim #954]: #940
-#2025 := [unit-resolution #956 #2024]: #937
-#2026 := (or #921 #919)
-#2027 := [th-lemma]: #2026
-#2028 := [unit-resolution #2027 #2022]: #919
-#2029 := (or #922 #147 #935)
-#2030 := [th-lemma]: #2029
-#2031 := [unit-resolution #2030 #2024 #2028]: #935
-#1243 := (or #936 #933)
-#1244 := [def-axiom]: #1243
-#2032 := [unit-resolution #1244 #2031 #2025]: false
-#2033 := [lemma #2032]: #921
-decl z3name!7 :: int
-#829 := z3name!7
-decl uf_9 :: int
-#43 := uf_9
-#1159 := (+ uf_9 z3name!7)
-#1160 := (<= #1159 0::int)
-#838 := (* -1::int z3name!7)
-#1148 := (+ uf_9 #838)
-#1147 := (>= #1148 0::int)
-decl z3name!4 :: int
-#751 := z3name!4
-#760 := (* -1::int z3name!4)
-decl uf_6 :: int
-#25 := uf_6
-#1034 := (+ uf_6 #760)
-#1033 := (>= #1034 0::int)
-#1035 := (<= #1034 0::int)
-#1037 := (not #1035)
-#1036 := (not #1033)
-#1038 := (or #1036 #1037)
-#1039 := (not #1038)
-#288 := (>= uf_6 0::int)
-#893 := (+ uf_2 z3name!0)
-#895 := (>= #893 0::int)
-#897 := (not #895)
-#894 := (<= #893 0::int)
-#896 := (not #894)
-#898 := (or #896 #897)
-#899 := (not #898)
-#100 := (>= uf_2 0::int)
-#101 := (not #100)
-#1736 := [hypothesis]: #885
-#1225 := (or #886 #883)
-#1226 := [def-axiom]: #1225
-#1737 := [unit-resolution #1226 #1736]: #886
-#887 := (not #886)
-#890 := (or #101 #887)
-#902 := (or #100 #899)
-#909 := (not #902)
-#908 := (not #890)
-#910 := (or #908 #909)
-#911 := (not #910)
-#82 := (* -1::int uf_2)
-#650 := (= z3name!0 #82)
-#651 := (or #100 #650)
-#648 := (= z3name!0 uf_2)
-#649 := (or #101 #648)
-#652 := (and #649 #651)
-#914 := (iff #652 #911)
-#905 := (and #890 #902)
-#912 := (iff #905 #911)
-#913 := [rewrite]: #912
-#906 := (iff #652 #905)
-#903 := (iff #651 #902)
-#900 := (iff #650 #899)
-#901 := [rewrite]: #900
-#904 := [monotonicity #901]: #903
-#891 := (iff #649 #890)
-#888 := (iff #648 #887)
-#889 := [rewrite]: #888
-#892 := [monotonicity #889]: #891
-#907 := [monotonicity #892 #904]: #906
-#915 := [trans #907 #913]: #914
-#653 := [intro-def]: #652
-#916 := [mp #653 #915]: #911
-#917 := [not-or-elim #916]: #890
-#1738 := [unit-resolution #917 #1737]: #101
-#918 := [not-or-elim #916]: #902
-#1739 := [unit-resolution #918 #1738]: #899
-#1231 := (or #898 #895)
-#1232 := [def-axiom]: #1231
-#1740 := [unit-resolution #1232 #1739]: #895
-#1741 := [th-lemma #1736 #1738 #1740]: false
-#1742 := [lemma #1741]: #883
-#1149 := (<= #1148 0::int)
-#1151 := (not #1149)
-#1150 := (not #1147)
-#1152 := (or #1150 #1151)
-#1153 := (not #1152)
-#429 := (>= uf_9 0::int)
-decl z3name!6 :: int
-#803 := z3name!6
-#812 := (* -1::int z3name!6)
-decl uf_8 :: int
-#37 := uf_8
-#1110 := (+ uf_8 #812)
-#1111 := (<= #1110 0::int)
-#1113 := (not #1111)
-#1109 := (>= #1110 0::int)
-#1112 := (not #1109)
-#1114 := (or #1112 #1113)
-#1865 := [hypothesis]: #1113
-#1297 := (or #1114 #1111)
-#1298 := [def-axiom]: #1297
-#1866 := [unit-resolution #1298 #1865]: #1114
-#382 := (>= uf_8 0::int)
-#1685 := (or #1111 #1109)
-#1686 := [th-lemma]: #1685
-#1867 := [unit-resolution #1686 #1865]: #1109
-#1734 := (or #382 #1112)
-#1121 := (+ uf_8 z3name!6)
-#1123 := (>= #1121 0::int)
-#1125 := (not #1123)
-#1122 := (<= #1121 0::int)
-#1124 := (not #1122)
-#1126 := (or #1124 #1125)
-#1127 := (not #1126)
-#383 := (not #382)
-#1428 := [hypothesis]: #383
-#1130 := (or #382 #1127)
-#1137 := (not #1130)
-#1115 := (not #1114)
-#1118 := (or #383 #1115)
-#1136 := (not #1118)
-#1138 := (or #1136 #1137)
-#1139 := (not #1138)
-#365 := (* -1::int uf_8)
-#806 := (= z3name!6 #365)
-#807 := (or #382 #806)
-#804 := (= z3name!6 uf_8)
-#805 := (or #383 #804)
-#808 := (and #805 #807)
-#1142 := (iff #808 #1139)
-#1133 := (and #1118 #1130)
-#1140 := (iff #1133 #1139)
-#1141 := [rewrite]: #1140
-#1134 := (iff #808 #1133)
-#1131 := (iff #807 #1130)
-#1128 := (iff #806 #1127)
-#1129 := [rewrite]: #1128
-#1132 := [monotonicity #1129]: #1131
-#1119 := (iff #805 #1118)
-#1116 := (iff #804 #1115)
-#1117 := [rewrite]: #1116
-#1120 := [monotonicity #1117]: #1119
-#1135 := [monotonicity #1120 #1132]: #1134
-#1143 := [trans #1135 #1141]: #1142
-#809 := [intro-def]: #808
-#1144 := [mp #809 #1143]: #1139
-#1146 := [not-or-elim #1144]: #1130
-#1729 := [unit-resolution #1146 #1428]: #1127
-#1637 := [hypothesis]: #1109
-#1730 := (or #1112 #1125 #382)
-#1731 := [th-lemma]: #1730
-#1732 := [unit-resolution #1731 #1428 #1637]: #1125
-#1303 := (or #1126 #1123)
-#1304 := [def-axiom]: #1303
-#1733 := [unit-resolution #1304 #1732 #1729]: false
-#1735 := [lemma #1733]: #1734
-#1868 := [unit-resolution #1735 #1867]: #382
-#1145 := [not-or-elim #1144]: #1118
-#1869 := [unit-resolution #1145 #1868 #1866]: false
-#1870 := [lemma #1869]: #1111
-#289 := (not #288)
-#1405 := [hypothesis]: #289
-#1688 := (or #288 #429 #1113)
-#815 := (+ uf_9 #812)
-#818 := (+ uf_7 #815)
-#825 := (>= #818 0::int)
-#389 := (ite #382 uf_8 #365)
-#400 := (* -1::int #389)
-#401 := (+ uf_9 #400)
-#402 := (+ uf_7 #401)
-#599 := (>= #402 0::int)
-#826 := (= #599 #825)
-#819 := (~ #402 #818)
-#816 := (~ #401 #815)
-#813 := (~ #400 #812)
-#810 := (~ #389 z3name!6)
-#811 := [apply-def #809]: #810
-#814 := [monotonicity #811]: #813
-#817 := [monotonicity #814]: #816
-#820 := [monotonicity #817]: #819
-#827 := [monotonicity #820]: #826
-#601 := (not #599)
-#598 := (<= #402 0::int)
-#600 := (not #598)
-#602 := (or #600 #601)
-#603 := (not #602)
-#403 := (= #402 0::int)
-#604 := (iff #403 #603)
-#605 := [rewrite]: #604
-#45 := (- uf_8)
-#44 := (< uf_8 0::int)
-#46 := (ite #44 #45 uf_8)
-#47 := (- #46 uf_7)
-#48 := (= uf_9 #47)
-#408 := (iff #48 #403)
-#368 := (ite #44 #365 uf_8)
-#374 := (+ #318 #368)
-#379 := (= uf_9 #374)
-#406 := (iff #379 #403)
-#394 := (+ #318 #389)
-#397 := (= uf_9 #394)
-#404 := (iff #397 #403)
-#405 := [rewrite]: #404
-#398 := (iff #379 #397)
-#395 := (= #374 #394)
-#392 := (= #368 #389)
-#386 := (ite #383 #365 uf_8)
-#390 := (= #386 #389)
-#391 := [rewrite]: #390
-#387 := (= #368 #386)
-#384 := (iff #44 #383)
-#385 := [rewrite]: #384
-#388 := [monotonicity #385]: #387
-#393 := [trans #388 #391]: #392
-#396 := [monotonicity #393]: #395
-#399 := [monotonicity #396]: #398
-#407 := [trans #399 #405]: #406
-#380 := (iff #48 #379)
-#377 := (= #47 #374)
-#371 := (- #368 uf_7)
-#375 := (= #371 #374)
-#376 := [rewrite]: #375
-#372 := (= #47 #371)
-#369 := (= #46 #368)
-#366 := (= #45 #365)
-#367 := [rewrite]: #366
-#370 := [monotonicity #367]: #369
-#373 := [monotonicity #370]: #372
-#378 := [trans #373 #376]: #377
-#381 := [monotonicity #378]: #380
-#409 := [trans #381 #407]: #408
-#364 := [asserted]: #48
-#410 := [mp #364 #409]: #403
-#606 := [mp #410 #605]: #603
-#608 := [not-or-elim #606]: #599
-#828 := [mp~ #608 #827]: #825
-#1441 := [hypothesis]: #1075
-#1285 := (or #1076 #1073)
-#1286 := [def-axiom]: #1285
-#1442 := [unit-resolution #1286 #1441]: #1076
-#1107 := [not-or-elim #1106]: #1080
-#1443 := [unit-resolution #1107 #1442]: #336
-#1444 := [unit-resolution #1108 #1443]: #1089
-#1291 := (or #1088 #1085)
-#1292 := [def-axiom]: #1291
-#1445 := [unit-resolution #1292 #1444]: #1085
-#1446 := [th-lemma #1441 #1445 #1443]: false
-#1447 := [lemma #1446]: #1073
-#789 := (+ uf_8 #786)
-#792 := (+ uf_6 #789)
-#799 := (>= #792 0::int)
-#342 := (ite #335 uf_7 #318)
-#353 := (* -1::int #342)
-#354 := (+ uf_8 #353)
-#355 := (+ uf_6 #354)
-#588 := (>= #355 0::int)
-#800 := (= #588 #799)
-#793 := (~ #355 #792)
-#790 := (~ #354 #789)
-#787 := (~ #353 #786)
-#784 := (~ #342 z3name!5)
-#785 := [apply-def #783]: #784
-#788 := [monotonicity #785]: #787
-#791 := [monotonicity #788]: #790
-#794 := [monotonicity #791]: #793
-#801 := [monotonicity #794]: #800
-#590 := (not #588)
-#587 := (<= #355 0::int)
-#589 := (not #587)
-#591 := (or #589 #590)
-#592 := (not #591)
-#356 := (= #355 0::int)
-#593 := (iff #356 #592)
-#594 := [rewrite]: #593
-#39 := (- uf_7)
-#38 := (< uf_7 0::int)
-#40 := (ite #38 #39 uf_7)
-#41 := (- #40 uf_6)
-#42 := (= uf_8 #41)
-#361 := (iff #42 #356)
-#321 := (ite #38 #318 uf_7)
-#271 := (* -1::int uf_6)
-#327 := (+ #271 #321)
-#332 := (= uf_8 #327)
-#359 := (iff #332 #356)
-#347 := (+ #271 #342)
-#350 := (= uf_8 #347)
-#357 := (iff #350 #356)
-#358 := [rewrite]: #357
-#351 := (iff #332 #350)
-#348 := (= #327 #347)
-#345 := (= #321 #342)
-#339 := (ite #336 #318 uf_7)
-#343 := (= #339 #342)
-#344 := [rewrite]: #343
-#340 := (= #321 #339)
-#337 := (iff #38 #336)
-#338 := [rewrite]: #337
-#341 := [monotonicity #338]: #340
-#346 := [trans #341 #344]: #345
-#349 := [monotonicity #346]: #348
-#352 := [monotonicity #349]: #351
-#360 := [trans #352 #358]: #359
-#333 := (iff #42 #332)
-#330 := (= #41 #327)
-#324 := (- #321 uf_6)
-#328 := (= #324 #327)
-#329 := [rewrite]: #328
-#325 := (= #41 #324)
-#322 := (= #40 #321)
-#319 := (= #39 #318)
-#320 := [rewrite]: #319
-#323 := [monotonicity #320]: #322
-#326 := [monotonicity #323]: #325
-#331 := [trans #326 #329]: #330
-#334 := [monotonicity #331]: #333
-#362 := [trans #334 #360]: #361
-#317 := [asserted]: #42
-#363 := [mp #317 #362]: #356
-#595 := [mp #363 #594]: #592
-#597 := [not-or-elim #595]: #588
-#802 := [mp~ #597 #801]: #799
-#1343 := (not #825)
-#1350 := (not #799)
-#1351 := (or #288 #1075 #1350 #429 #1113 #1343)
-#1352 := [th-lemma]: #1351
-#1689 := [unit-resolution #1352 #802 #1447 #828]: #1688
-#2046 := [unit-resolution #1689 #1405 #1870]: #429
-#430 := (not #429)
-#1156 := (or #430 #1153)
-#1161 := (>= #1159 0::int)
-#1163 := (not #1161)
-#1162 := (not #1160)
-#1164 := (or #1162 #1163)
-#1165 := (not #1164)
-#1168 := (or #429 #1165)
-#1175 := (not #1168)
-#1174 := (not #1156)
-#1176 := (or #1174 #1175)
-#1177 := (not #1176)
-#412 := (* -1::int uf_9)
-#832 := (= z3name!7 #412)
-#833 := (or #429 #832)
-#830 := (= z3name!7 uf_9)
-#831 := (or #430 #830)
-#834 := (and #831 #833)
-#1180 := (iff #834 #1177)
-#1171 := (and #1156 #1168)
-#1178 := (iff #1171 #1177)
-#1179 := [rewrite]: #1178
-#1172 := (iff #834 #1171)
-#1169 := (iff #833 #1168)
-#1166 := (iff #832 #1165)
-#1167 := [rewrite]: #1166
-#1170 := [monotonicity #1167]: #1169
-#1157 := (iff #831 #1156)
-#1154 := (iff #830 #1153)
-#1155 := [rewrite]: #1154
-#1158 := [monotonicity #1155]: #1157
-#1173 := [monotonicity #1158 #1170]: #1172
-#1181 := [trans #1173 #1179]: #1180
-#835 := [intro-def]: #834
-#1182 := [mp #835 #1181]: #1177
-#1183 := [not-or-elim #1182]: #1156
-#2047 := [unit-resolution #1183 #2046]: #1153
-#1307 := (or #1152 #1147)
-#1308 := [def-axiom]: #1307
-#2112 := [unit-resolution #1308 #2047]: #1147
-#2009 := (or #288 #382)
-#1998 := (or #1036 #288)
-#1045 := (+ uf_6 z3name!4)
-#1047 := (>= #1045 0::int)
-#1049 := (not #1047)
-#1046 := (<= #1045 0::int)
-#1048 := (not #1046)
-#1050 := (or #1048 #1049)
-#1460 := [hypothesis]: #1049
-#1279 := (or #1050 #1047)
-#1280 := [def-axiom]: #1279
-#1461 := [unit-resolution #1280 #1460]: #1050
-#1464 := (or #1047 #289)
-#1051 := (not #1050)
-#1448 := [hypothesis]: #1037
-#1273 := (or #1038 #1035)
-#1274 := [def-axiom]: #1273
-#1449 := [unit-resolution #1274 #1448]: #1038
-#1042 := (or #289 #1039)
-#1054 := (or #288 #1051)
-#1061 := (not #1054)
-#1060 := (not #1042)
-#1062 := (or #1060 #1061)
-#1063 := (not #1062)
-#754 := (= z3name!4 #271)
-#755 := (or #288 #754)
-#752 := (= z3name!4 uf_6)
-#753 := (or #289 #752)
-#756 := (and #753 #755)
-#1066 := (iff #756 #1063)
-#1057 := (and #1042 #1054)
-#1064 := (iff #1057 #1063)
-#1065 := [rewrite]: #1064
-#1058 := (iff #756 #1057)
-#1055 := (iff #755 #1054)
-#1052 := (iff #754 #1051)
-#1053 := [rewrite]: #1052
-#1056 := [monotonicity #1053]: #1055
-#1043 := (iff #753 #1042)
-#1040 := (iff #752 #1039)
-#1041 := [rewrite]: #1040
-#1044 := [monotonicity #1041]: #1043
-#1059 := [monotonicity #1044 #1056]: #1058
-#1067 := [trans #1059 #1065]: #1066
-#757 := [intro-def]: #756
-#1068 := [mp #757 #1067]: #1063
-#1069 := [not-or-elim #1068]: #1042
-#1450 := [unit-resolution #1069 #1449]: #289
-#1070 := [not-or-elim #1068]: #1054
-#1451 := [unit-resolution #1070 #1450]: #1051
-#1452 := (or #1035 #1033)
-#1453 := [th-lemma]: #1452
-#1454 := [unit-resolution #1453 #1448]: #1033
-#1455 := (or #1036 #288 #1049)
-#1456 := [th-lemma]: #1455
-#1457 := [unit-resolution #1456 #1450 #1454]: #1049
-#1458 := [unit-resolution #1280 #1457 #1451]: false
-#1459 := [lemma #1458]: #1035
-#1462 := (or #1047 #1037 #289)
-#1463 := [th-lemma]: #1462
-#1465 := [unit-resolution #1463 #1459]: #1464
-#1466 := [unit-resolution #1465 #1460]: #289
-#1467 := [unit-resolution #1070 #1466 #1461]: false
-#1468 := [lemma #1467]: #1047
-#1999 := [unit-resolution #1456 #1468]: #1998
-#2000 := [unit-resolution #1999 #1405]: #1036
-#1407 := [unit-resolution #1070 #1405]: #1051
-#1277 := (or #1050 #1046)
-#1278 := [def-axiom]: #1277
-#1497 := [unit-resolution #1278 #1407]: #1046
-#2001 := (or #336 #1048 #1033 #382 #1350 #1075)
-#2002 := [th-lemma]: #2001
-#2003 := [unit-resolution #2002 #1497 #2000 #1447 #802 #1428]: #336
-#2004 := (or #1087 #1075 #1048 #1033 #382 #1350)
-#2005 := [th-lemma]: #2004
-#2006 := [unit-resolution #2005 #1497 #1447 #2000 #802 #1428]: #1087
-#2007 := [unit-resolution #1292 #2006]: #1088
-#2008 := [unit-resolution #1108 #2007 #2003]: false
-#2010 := [lemma #2008]: #2009
-#2113 := [unit-resolution #2010 #1405]: #382
-#2114 := [unit-resolution #1145 #2113]: #1115
-#1295 := (or #1114 #1109)
-#1296 := [def-axiom]: #1295
-#2115 := [unit-resolution #1296 #2114]: #1109
-decl z3name!2 :: int
-#699 := z3name!2
-#708 := (* -1::int z3name!2)
-#958 := (+ uf_4 #708)
-#957 := (>= #958 0::int)
-#959 := (<= #958 0::int)
-#961 := (not #959)
-#960 := (not #957)
-#962 := (or #960 #961)
-#963 := (not #962)
-decl uf_5 :: int
-#19 := uf_5
-#241 := (>= uf_5 0::int)
-#242 := (not #241)
-#1406 := [hypothesis]: #242
-#1579 := (or #1048 #241)
-#516 := (>= #514 0::int)
-#476 := (>= uf_10 0::int)
-#477 := (not #476)
-#1484 := (or #382 #241)
-#1430 := (or #382 #241 #1075 #1037)
-#1421 := [hypothesis]: #1035
-#1427 := [hypothesis]: #1073
-#763 := (+ uf_7 #760)
-#766 := (+ uf_5 #763)
-#773 := (>= #766 0::int)
-#295 := (ite #288 uf_6 #271)
-#306 := (* -1::int #295)
-#307 := (+ uf_7 #306)
-#308 := (+ uf_5 #307)
-#577 := (>= #308 0::int)
-#774 := (= #577 #773)
-#767 := (~ #308 #766)
-#764 := (~ #307 #763)
-#761 := (~ #306 #760)
-#758 := (~ #295 z3name!4)
-#759 := [apply-def #757]: #758
-#762 := [monotonicity #759]: #761
-#765 := [monotonicity #762]: #764
-#768 := [monotonicity #765]: #767
-#775 := [monotonicity #768]: #774
-#579 := (not #577)
-#576 := (<= #308 0::int)
-#578 := (not #576)
-#580 := (or #578 #579)
-#581 := (not #580)
-#309 := (= #308 0::int)
-#582 := (iff #309 #581)
-#583 := [rewrite]: #582
-#33 := (- uf_6)
-#32 := (< uf_6 0::int)
-#34 := (ite #32 #33 uf_6)
-#35 := (- #34 uf_5)
-#36 := (= uf_7 #35)
-#314 := (iff #36 #309)
-#274 := (ite #32 #271 uf_6)
-#224 := (* -1::int uf_5)
-#280 := (+ #224 #274)
-#285 := (= uf_7 #280)
-#312 := (iff #285 #309)
-#300 := (+ #224 #295)
-#303 := (= uf_7 #300)
-#310 := (iff #303 #309)
-#311 := [rewrite]: #310
-#304 := (iff #285 #303)
-#301 := (= #280 #300)
-#298 := (= #274 #295)
-#292 := (ite #289 #271 uf_6)
-#296 := (= #292 #295)
-#297 := [rewrite]: #296
-#293 := (= #274 #292)
-#290 := (iff #32 #289)
-#291 := [rewrite]: #290
-#294 := [monotonicity #291]: #293
-#299 := [trans #294 #297]: #298
-#302 := [monotonicity #299]: #301
-#305 := [monotonicity #302]: #304
-#313 := [trans #305 #311]: #312
-#286 := (iff #36 #285)
-#283 := (= #35 #280)
-#277 := (- #274 uf_5)
-#281 := (= #277 #280)
-#282 := [rewrite]: #281
-#278 := (= #35 #277)
-#275 := (= #34 #274)
-#272 := (= #33 #271)
-#273 := [rewrite]: #272
-#276 := [monotonicity #273]: #275
-#279 := [monotonicity #276]: #278
-#284 := [trans #279 #282]: #283
-#287 := [monotonicity #284]: #286
-#315 := [trans #287 #313]: #314
-#270 := [asserted]: #36
-#316 := [mp #270 #315]: #309
-#584 := [mp #316 #583]: #581
-#586 := [not-or-elim #584]: #577
-#776 := [mp~ #586 #775]: #773
-#1429 := [th-lemma #776 #1406 #1428 #1427 #802 #1421]: false
-#1431 := [lemma #1429]: #1430
-#1485 := [unit-resolution #1431 #1447 #1459]: #1484
-#1486 := [unit-resolution #1485 #1406]: #382
-#1487 := [unit-resolution #1145 #1486]: #1115
-#1496 := [unit-resolution #1298 #1487]: #1111
-#1545 := [hypothesis]: #1046
-#1548 := (or #1048 #1113 #429)
-#1546 := (or #1048 #1113 #429 #1343 #1075 #1350 #1037)
-#1547 := [th-lemma]: #1546
-#1549 := [unit-resolution #1547 #1447 #802 #1459 #828]: #1548
-#1550 := [unit-resolution #1549 #1545 #1496]: #429
-#1551 := [unit-resolution #1183 #1550]: #1153
-#1552 := [unit-resolution #1308 #1551]: #1147
-#1543 := (or #477 #241 #1150)
-#1488 := [unit-resolution #1296 #1487]: #1109
-#821 := (<= #818 0::int)
-#822 := (= #598 #821)
-#823 := [monotonicity #820]: #822
-#607 := [not-or-elim #606]: #598
-#824 := [mp~ #607 #823]: #821
-#841 := (+ uf_10 #838)
-#844 := (+ uf_8 #841)
-#847 := (<= #844 0::int)
-#436 := (ite #429 uf_9 #412)
-#447 := (* -1::int #436)
-#448 := (+ uf_10 #447)
-#449 := (+ uf_8 #448)
-#609 := (<= #449 0::int)
-#848 := (= #609 #847)
-#845 := (~ #449 #844)
-#842 := (~ #448 #841)
-#839 := (~ #447 #838)
-#836 := (~ #436 z3name!7)
-#837 := [apply-def #835]: #836
-#840 := [monotonicity #837]: #839
-#843 := [monotonicity #840]: #842
-#846 := [monotonicity #843]: #845
-#849 := [monotonicity #846]: #848
-#610 := (>= #449 0::int)
-#612 := (not #610)
-#611 := (not #609)
-#613 := (or #611 #612)
-#614 := (not #613)
-#450 := (= #449 0::int)
-#615 := (iff #450 #614)
-#616 := [rewrite]: #615
-#51 := (- uf_9)
-#50 := (< uf_9 0::int)
-#52 := (ite #50 #51 uf_9)
-#53 := (- #52 uf_8)
-#54 := (= uf_10 #53)
-#455 := (iff #54 #450)
-#415 := (ite #50 #412 uf_9)
-#421 := (+ #365 #415)
-#426 := (= uf_10 #421)
-#453 := (iff #426 #450)
-#441 := (+ #365 #436)
-#444 := (= uf_10 #441)
-#451 := (iff #444 #450)
-#452 := [rewrite]: #451
-#445 := (iff #426 #444)
-#442 := (= #421 #441)
-#439 := (= #415 #436)
-#433 := (ite #430 #412 uf_9)
-#437 := (= #433 #436)
-#438 := [rewrite]: #437
-#434 := (= #415 #433)
-#431 := (iff #50 #430)
-#432 := [rewrite]: #431
-#435 := [monotonicity #432]: #434
-#440 := [trans #435 #438]: #439
-#443 := [monotonicity #440]: #442
-#446 := [monotonicity #443]: #445
-#454 := [trans #446 #452]: #453
-#427 := (iff #54 #426)
-#424 := (= #53 #421)
-#418 := (- #415 uf_8)
-#422 := (= #418 #421)
-#423 := [rewrite]: #422
-#419 := (= #53 #418)
-#416 := (= #52 #415)
-#413 := (= #51 #412)
-#414 := [rewrite]: #413
-#417 := [monotonicity #414]: #416
-#420 := [monotonicity #417]: #419
-#425 := [trans #420 #423]: #424
-#428 := [monotonicity #425]: #427
-#456 := [trans #428 #454]: #455
-#411 := [asserted]: #54
-#457 := [mp #411 #456]: #450
-#617 := [mp #457 #616]: #614
-#618 := [not-or-elim #617]: #609
-#850 := [mp~ #618 #849]: #847
-#1540 := [hypothesis]: #1147
-#1541 := [hypothesis]: #476
-#1542 := [th-lemma #1468 #1406 #1541 #1540 #850 #824 #1488 #776 #1459]: false
-#1544 := [lemma #1542]: #1543
-#1553 := [unit-resolution #1544 #1552 #1406]: #477
-#851 := (>= #844 0::int)
-#852 := (= #610 #851)
-#853 := [monotonicity #846]: #852
-#619 := [not-or-elim #617]: #610
-#854 := [mp~ #619 #853]: #851
-#1309 := (or #1152 #1149)
-#1310 := [def-axiom]: #1309
-#1554 := [unit-resolution #1310 #1551]: #1149
-#769 := (<= #766 0::int)
-#770 := (= #576 #769)
-#771 := [monotonicity #768]: #770
-#585 := [not-or-elim #584]: #576
-#772 := [mp~ #585 #771]: #769
-decl z3name!3 :: int
-#725 := z3name!3
-#1007 := (+ uf_5 z3name!3)
-#1009 := (>= #1007 0::int)
-#1011 := (not #1009)
-#1398 := [hypothesis]: #1011
-#734 := (* -1::int z3name!3)
-#996 := (+ uf_5 #734)
-#997 := (<= #996 0::int)
-#999 := (not #997)
-#995 := (>= #996 0::int)
-#998 := (not #995)
-#1000 := (or #998 #999)
-#1001 := (not #1000)
-#1008 := (<= #1007 0::int)
-#1010 := (not #1008)
-#1012 := (or #1010 #1011)
-#1267 := (or #1012 #1009)
-#1268 := [def-axiom]: #1267
-#1399 := [unit-resolution #1268 #1398]: #1012
-#1013 := (not #1012)
-#1016 := (or #241 #1013)
-#1023 := (not #1016)
-#1004 := (or #242 #1001)
-#1022 := (not #1004)
-#1024 := (or #1022 #1023)
-#1025 := (not #1024)
-#728 := (= z3name!3 #224)
-#729 := (or #241 #728)
-#726 := (= z3name!3 uf_5)
-#727 := (or #242 #726)
-#730 := (and #727 #729)
-#1028 := (iff #730 #1025)
-#1019 := (and #1004 #1016)
-#1026 := (iff #1019 #1025)
-#1027 := [rewrite]: #1026
-#1020 := (iff #730 #1019)
-#1017 := (iff #729 #1016)
-#1014 := (iff #728 #1013)
-#1015 := [rewrite]: #1014
-#1018 := [monotonicity #1015]: #1017
-#1005 := (iff #727 #1004)
-#1002 := (iff #726 #1001)
-#1003 := [rewrite]: #1002
-#1006 := [monotonicity #1003]: #1005
-#1021 := [monotonicity #1006 #1018]: #1020
-#1029 := [trans #1021 #1027]: #1028
-#731 := [intro-def]: #730
-#1030 := [mp #731 #1029]: #1025
-#1032 := [not-or-elim #1030]: #1016
-#1400 := [unit-resolution #1032 #1399]: #241
-#1031 := [not-or-elim #1030]: #1004
-#1401 := [unit-resolution #1031 #1400]: #1001
-#1261 := (or #1000 #997)
-#1262 := [def-axiom]: #1261
-#1402 := [unit-resolution #1262 #1401]: #997
-#1403 := [th-lemma #1400 #1402 #1398]: false
-#1404 := [lemma #1403]: #1009
-#737 := (+ uf_6 #734)
-#740 := (+ uf_4 #737)
-#747 := (>= #740 0::int)
-#248 := (ite #241 uf_5 #224)
-#259 := (* -1::int #248)
-#260 := (+ uf_6 #259)
-#261 := (+ uf_4 #260)
-#566 := (>= #261 0::int)
-#748 := (= #566 #747)
-#741 := (~ #261 #740)
-#738 := (~ #260 #737)
-#735 := (~ #259 #734)
-#732 := (~ #248 z3name!3)
-#733 := [apply-def #731]: #732
-#736 := [monotonicity #733]: #735
-#739 := [monotonicity #736]: #738
-#742 := [monotonicity #739]: #741
-#749 := [monotonicity #742]: #748
-#568 := (not #566)
-#565 := (<= #261 0::int)
-#567 := (not #565)
-#569 := (or #567 #568)
-#570 := (not #569)
-#262 := (= #261 0::int)
-#571 := (iff #262 #570)
-#572 := [rewrite]: #571
-#27 := (- uf_5)
-#26 := (< uf_5 0::int)
-#28 := (ite #26 #27 uf_5)
-#29 := (- #28 uf_4)
-#30 := (= uf_6 #29)
-#267 := (iff #30 #262)
-#227 := (ite #26 #224 uf_5)
-#177 := (* -1::int uf_4)
-#233 := (+ #177 #227)
-#238 := (= uf_6 #233)
-#265 := (iff #238 #262)
-#253 := (+ #177 #248)
-#256 := (= uf_6 #253)
-#263 := (iff #256 #262)
-#264 := [rewrite]: #263
-#257 := (iff #238 #256)
-#254 := (= #233 #253)
-#251 := (= #227 #248)
-#245 := (ite #242 #224 uf_5)
-#249 := (= #245 #248)
-#250 := [rewrite]: #249
-#246 := (= #227 #245)
-#243 := (iff #26 #242)
-#244 := [rewrite]: #243
-#247 := [monotonicity #244]: #246
-#252 := [trans #247 #250]: #251
-#255 := [monotonicity #252]: #254
-#258 := [monotonicity #255]: #257
-#266 := [trans #258 #264]: #265
-#239 := (iff #30 #238)
-#236 := (= #29 #233)
-#230 := (- #227 uf_4)
-#234 := (= #230 #233)
-#235 := [rewrite]: #234
-#231 := (= #29 #230)
-#228 := (= #28 #227)
-#225 := (= #27 #224)
-#226 := [rewrite]: #225
-#229 := [monotonicity #226]: #228
-#232 := [monotonicity #229]: #231
-#237 := [trans #232 #235]: #236
-#240 := [monotonicity #237]: #239
-#268 := [trans #240 #266]: #267
-#223 := [asserted]: #30
-#269 := [mp #223 #268]: #262
-#573 := [mp #269 #572]: #570
-#575 := [not-or-elim #573]: #566
-#750 := [mp~ #575 #749]: #747
-#1364 := (not #747)
-#1357 := (not #769)
-#1337 := (not #851)
-#1555 := (or #194 #476 #1151 #1337 #1343 #1113 #1048 #1357 #1364 #1011)
-#1556 := [th-lemma]: #1555
-#1557 := [unit-resolution #1556 #1545 #750 #1404 #772 #1496 #828 #1554 #854 #1553]: #194
-#195 := (not #194)
-#966 := (or #195 #963)
-#969 := (+ uf_4 z3name!2)
-#971 := (>= #969 0::int)
-#973 := (not #971)
-#970 := (<= #969 0::int)
-#972 := (not #970)
-#974 := (or #972 #973)
-#975 := (not #974)
-#978 := (or #194 #975)
-#985 := (not #978)
-#984 := (not #966)
-#986 := (or #984 #985)
-#987 := (not #986)
-#702 := (= z3name!2 #177)
-#703 := (or #194 #702)
-#700 := (= z3name!2 uf_4)
-#701 := (or #195 #700)
-#704 := (and #701 #703)
-#990 := (iff #704 #987)
-#981 := (and #966 #978)
-#988 := (iff #981 #987)
-#989 := [rewrite]: #988
-#982 := (iff #704 #981)
-#979 := (iff #703 #978)
-#976 := (iff #702 #975)
-#977 := [rewrite]: #976
-#980 := [monotonicity #977]: #979
-#967 := (iff #701 #966)
-#964 := (iff #700 #963)
-#965 := [rewrite]: #964
-#968 := [monotonicity #965]: #967
-#983 := [monotonicity #968 #980]: #982
-#991 := [trans #983 #989]: #990
-#705 := [intro-def]: #704
-#992 := [mp #705 #991]: #987
-#993 := [not-or-elim #992]: #966
-#1558 := [unit-resolution #993 #1557]: #963
-#1249 := (or #962 #959)
-#1250 := [def-axiom]: #1249
-#1559 := [unit-resolution #1250 #1558]: #959
-decl z3name!8 :: int
-#855 := z3name!8
-#864 := (* -1::int z3name!8)
-#867 := (+ uf_11 #864)
-#870 := (+ uf_9 #867)
-#873 := (<= #870 0::int)
-#483 := (ite #476 uf_10 #459)
-#494 := (* -1::int #483)
-#495 := (+ uf_11 #494)
-#496 := (+ uf_9 #495)
-#620 := (<= #496 0::int)
-#874 := (= #620 #873)
-#871 := (~ #496 #870)
-#868 := (~ #495 #867)
-#865 := (~ #494 #864)
-#862 := (~ #483 z3name!8)
-#858 := (= z3name!8 #459)
-#859 := (or #476 #858)
-#856 := (= z3name!8 uf_10)
-#857 := (or #477 #856)
-#860 := (and #857 #859)
-#861 := [intro-def]: #860
-#863 := [apply-def #861]: #862
-#866 := [monotonicity #863]: #865
-#869 := [monotonicity #866]: #868
-#872 := [monotonicity #869]: #871
-#875 := [monotonicity #872]: #874
-#621 := (>= #496 0::int)
-#623 := (not #621)
-#622 := (not #620)
-#624 := (or #622 #623)
-#625 := (not #624)
-#497 := (= #496 0::int)
-#626 := (iff #497 #625)
-#627 := [rewrite]: #626
-#57 := (- uf_10)
-#56 := (< uf_10 0::int)
-#58 := (ite #56 #57 uf_10)
-#59 := (- #58 uf_9)
-#60 := (= uf_11 #59)
-#502 := (iff #60 #497)
-#462 := (ite #56 #459 uf_10)
-#468 := (+ #412 #462)
-#473 := (= uf_11 #468)
-#500 := (iff #473 #497)
-#488 := (+ #412 #483)
-#491 := (= uf_11 #488)
-#498 := (iff #491 #497)
-#499 := [rewrite]: #498
-#492 := (iff #473 #491)
-#489 := (= #468 #488)
-#486 := (= #462 #483)
-#480 := (ite #477 #459 uf_10)
-#484 := (= #480 #483)
-#485 := [rewrite]: #484
-#481 := (= #462 #480)
-#478 := (iff #56 #477)
-#479 := [rewrite]: #478
-#482 := [monotonicity #479]: #481
-#487 := [trans #482 #485]: #486
-#490 := [monotonicity #487]: #489
-#493 := [monotonicity #490]: #492
-#501 := [trans #493 #499]: #500
-#474 := (iff #60 #473)
-#471 := (= #59 #468)
-#465 := (- #462 uf_9)
-#469 := (= #465 #468)
-#470 := [rewrite]: #469
-#466 := (= #59 #465)
-#463 := (= #58 #462)
-#460 := (= #57 #459)
-#461 := [rewrite]: #460
-#464 := [monotonicity #461]: #463
-#467 := [monotonicity #464]: #466
-#472 := [trans #467 #470]: #471
-#475 := [monotonicity #472]: #474
-#503 := [trans #475 #501]: #502
-#458 := [asserted]: #60
-#504 := [mp #458 #503]: #497
-#628 := [mp #504 #627]: #625
-#629 := [not-or-elim #628]: #620
-#876 := [mp~ #629 #875]: #873
-#1197 := (+ uf_10 z3name!8)
-#1198 := (<= #1197 0::int)
-#1199 := (>= #1197 0::int)
-#1201 := (not #1199)
-#1200 := (not #1198)
-#1202 := (or #1200 #1201)
-#1203 := (not #1202)
-#1206 := (or #476 #1203)
-#1213 := (not #1206)
-#1186 := (+ uf_10 #864)
-#1187 := (<= #1186 0::int)
-#1189 := (not #1187)
-#1185 := (>= #1186 0::int)
-#1188 := (not #1185)
-#1190 := (or #1188 #1189)
-#1191 := (not #1190)
-#1194 := (or #477 #1191)
-#1212 := (not #1194)
-#1214 := (or #1212 #1213)
-#1215 := (not #1214)
-#1218 := (iff #860 #1215)
-#1209 := (and #1194 #1206)
-#1216 := (iff #1209 #1215)
-#1217 := [rewrite]: #1216
-#1210 := (iff #860 #1209)
-#1207 := (iff #859 #1206)
-#1204 := (iff #858 #1203)
-#1205 := [rewrite]: #1204
-#1208 := [monotonicity #1205]: #1207
-#1195 := (iff #857 #1194)
-#1192 := (iff #856 #1191)
-#1193 := [rewrite]: #1192
-#1196 := [monotonicity #1193]: #1195
-#1211 := [monotonicity #1196 #1208]: #1210
-#1219 := [trans #1211 #1217]: #1218
-#1220 := [mp #861 #1219]: #1215
-#1222 := [not-or-elim #1220]: #1206
-#1560 := [unit-resolution #1222 #1553]: #1203
-#1325 := (or #1202 #1198)
-#1326 := [def-axiom]: #1325
-#1561 := [unit-resolution #1326 #1560]: #1198
-#711 := (+ uf_5 #708)
-#714 := (+ uf_1 #711)
-#721 := (>= #714 0::int)
-#201 := (ite #194 uf_4 #177)
-#212 := (* -1::int #201)
-#213 := (+ uf_5 #212)
-#214 := (+ uf_1 #213)
-#555 := (>= #214 0::int)
-#722 := (= #555 #721)
-#715 := (~ #214 #714)
-#712 := (~ #213 #711)
-#709 := (~ #212 #708)
-#706 := (~ #201 z3name!2)
-#707 := [apply-def #705]: #706
-#710 := [monotonicity #707]: #709
-#713 := [monotonicity #710]: #712
-#716 := [monotonicity #713]: #715
-#723 := [monotonicity #716]: #722
-#557 := (not #555)
-#554 := (<= #214 0::int)
-#556 := (not #554)
-#558 := (or #556 #557)
-#559 := (not #558)
-#215 := (= #214 0::int)
-#560 := (iff #215 #559)
-#561 := [rewrite]: #560
-#21 := (- uf_4)
-#20 := (< uf_4 0::int)
-#22 := (ite #20 #21 uf_4)
-#23 := (- #22 uf_1)
-#24 := (= uf_5 #23)
-#220 := (iff #24 #215)
-#180 := (ite #20 #177 uf_4)
-#186 := (+ #130 #180)
-#191 := (= uf_5 #186)
-#218 := (iff #191 #215)
-#206 := (+ #130 #201)
-#209 := (= uf_5 #206)
-#216 := (iff #209 #215)
-#217 := [rewrite]: #216
-#210 := (iff #191 #209)
-#207 := (= #186 #206)
-#204 := (= #180 #201)
-#198 := (ite #195 #177 uf_4)
-#202 := (= #198 #201)
-#203 := [rewrite]: #202
-#199 := (= #180 #198)
-#196 := (iff #20 #195)
-#197 := [rewrite]: #196
-#200 := [monotonicity #197]: #199
-#205 := [trans #200 #203]: #204
-#208 := [monotonicity #205]: #207
-#211 := [monotonicity #208]: #210
-#219 := [trans #211 #217]: #218
-#192 := (iff #24 #191)
-#189 := (= #23 #186)
-#183 := (- #180 uf_1)
-#187 := (= #183 #186)
-#188 := [rewrite]: #187
-#184 := (= #23 #183)
-#181 := (= #22 #180)
-#178 := (= #21 #177)
-#179 := [rewrite]: #178
-#182 := [monotonicity #179]: #181
-#185 := [monotonicity #182]: #184
-#190 := [trans #185 #188]: #189
-#193 := [monotonicity #190]: #192
-#221 := [trans #193 #219]: #220
-#176 := [asserted]: #24
-#222 := [mp #176 #221]: #215
-#562 := [mp #222 #561]: #559
-#564 := [not-or-elim #562]: #555
-#724 := [mp~ #564 #723]: #721
-#685 := (+ uf_4 #682)
-#688 := (+ uf_2 #685)
-#695 := (>= #688 0::int)
-#154 := (ite #147 uf_1 #130)
-#165 := (* -1::int #154)
-#166 := (+ uf_4 #165)
-#167 := (+ uf_2 #166)
-#544 := (>= #167 0::int)
-#696 := (= #544 #695)
-#689 := (~ #167 #688)
-#686 := (~ #166 #685)
-#683 := (~ #165 #682)
-#680 := (~ #154 z3name!1)
-#681 := [apply-def #679]: #680
-#684 := [monotonicity #681]: #683
-#687 := [monotonicity #684]: #686
-#690 := [monotonicity #687]: #689
-#697 := [monotonicity #690]: #696
-#546 := (not #544)
-#543 := (<= #167 0::int)
-#545 := (not #543)
-#547 := (or #545 #546)
-#548 := (not #547)
-#168 := (= #167 0::int)
-#549 := (iff #168 #548)
-#550 := [rewrite]: #549
-#15 := (- uf_1)
-#14 := (< uf_1 0::int)
-#16 := (ite #14 #15 uf_1)
-#17 := (- #16 uf_2)
-#18 := (= uf_4 #17)
-#173 := (iff #18 #168)
-#133 := (ite #14 #130 uf_1)
-#139 := (+ #82 #133)
-#144 := (= uf_4 #139)
-#171 := (iff #144 #168)
-#159 := (+ #82 #154)
-#162 := (= uf_4 #159)
-#169 := (iff #162 #168)
-#170 := [rewrite]: #169
-#163 := (iff #144 #162)
-#160 := (= #139 #159)
-#157 := (= #133 #154)
-#151 := (ite #148 #130 uf_1)
-#155 := (= #151 #154)
-#156 := [rewrite]: #155
-#152 := (= #133 #151)
-#149 := (iff #14 #148)
-#150 := [rewrite]: #149
-#153 := [monotonicity #150]: #152
-#158 := [trans #153 #156]: #157
-#161 := [monotonicity #158]: #160
-#164 := [monotonicity #161]: #163
-#172 := [trans #164 #170]: #171
-#145 := (iff #18 #144)
-#142 := (= #17 #139)
-#136 := (- #133 uf_2)
-#140 := (= #136 #139)
-#141 := [rewrite]: #140
-#137 := (= #17 #136)
-#134 := (= #16 #133)
-#131 := (= #15 #130)
-#132 := [rewrite]: #131
-#135 := [monotonicity #132]: #134
-#138 := [monotonicity #135]: #137
-#143 := [trans #138 #141]: #142
-#146 := [monotonicity #143]: #145
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-#129 := [asserted]: #18
-#175 := [mp #129 #174]: #168
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-#553 := [not-or-elim #551]: #544
-#698 := [mp~ #553 #697]: #695
-#1373 := (not #721)
-#1562 := (or #147 #1373 #961 #241 #195)
-#1563 := [th-lemma]: #1562
-#1564 := [unit-resolution #1563 #1559 #1557 #724 #1406]: #147
-#1565 := [unit-resolution #955 #1564]: #925
-#1566 := [unit-resolution #1238 #1565]: #921
-#1372 := (not #873)
-#1371 := (not #695)
-#1498 := (or #516 #923 #1373 #1371 #1372 #1343 #1200 #1075 #1350 #1113 #961 #1151 #1337 #1048 #1357)
-#1499 := [th-lemma]: #1498
-#1567 := [unit-resolution #1499 #1566 #698 #724 #1545 #772 #1447 #802 #1496 #828 #1554 #854 #1561 #876 #1559]: #516
-#1247 := (or #962 #957)
-#1248 := [def-axiom]: #1247
-#1568 := [unit-resolution #1248 #1558]: #957
-#877 := (>= #870 0::int)
-#878 := (= #621 #877)
-#879 := [monotonicity #872]: #878
-#630 := [not-or-elim #628]: #621
-#880 := [mp~ #630 #879]: #877
-#1327 := (or #1202 #1199)
-#1328 := [def-axiom]: #1327
-#1569 := [unit-resolution #1328 #1560]: #1199
-#795 := (<= #792 0::int)
-#796 := (= #587 #795)
-#797 := [monotonicity #794]: #796
-#596 := [not-or-elim #595]: #587
-#798 := [mp~ #596 #797]: #795
-#1503 := (or #335 #1049 #241)
-#1425 := (or #335 #1049 #241 #1037)
-#1422 := [hypothesis]: #336
-#1423 := [hypothesis]: #1047
-#1424 := [th-lemma #1423 #1422 #776 #1406 #1421]: false
-#1426 := [lemma #1424]: #1425
-#1504 := [unit-resolution #1426 #1459]: #1503
-#1505 := [unit-resolution #1504 #1406 #1468]: #335
-#1506 := [unit-resolution #1107 #1505]: #1077
-#1283 := (or #1076 #1071)
-#1284 := [def-axiom]: #1283
-#1507 := [unit-resolution #1284 #1506]: #1071
-#717 := (<= #714 0::int)
-#718 := (= #554 #717)
-#719 := [monotonicity #716]: #718
-#563 := [not-or-elim #562]: #554
-#720 := [mp~ #563 #719]: #717
-#691 := (<= #688 0::int)
-#692 := (= #543 #691)
-#693 := [monotonicity #690]: #692
-#552 := [not-or-elim #551]: #543
-#694 := [mp~ #552 #693]: #691
-#1235 := (or #924 #919)
-#1236 := [def-axiom]: #1235
-#1570 := [unit-resolution #1236 #1565]: #919
-#1409 := (not #773)
-#1489 := (not #847)
-#1358 := (not #795)
-#1365 := (not #821)
-#1511 := (not #877)
-#1510 := (not #691)
-#1509 := (not #717)
-#1512 := (or #515 #922 #1509 #1510 #1511 #1365 #1201 #1074 #1358 #1112 #960 #1150 #1489 #1049 #1409)
-#1513 := [th-lemma]: #1512
-#1571 := [unit-resolution #1513 #1570 #694 #720 #1468 #776 #1507 #798 #1488 #824 #1552 #850 #1569 #880 #1568]: #515
-#506 := (<= #508 0::int)
-#659 := (+ uf_3 #656)
-#662 := (+ uf_1 #659)
-#665 := (<= #662 0::int)
-#107 := (ite #100 uf_2 #82)
-#118 := (* -1::int #107)
-#119 := (+ uf_3 #118)
-#120 := (+ uf_1 #119)
-#532 := (<= #120 0::int)
-#666 := (= #532 #665)
-#663 := (~ #120 #662)
-#660 := (~ #119 #659)
-#657 := (~ #118 #656)
-#654 := (~ #107 z3name!0)
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-#658 := [monotonicity #655]: #657
-#661 := [monotonicity #658]: #660
-#664 := [monotonicity #661]: #663
-#667 := [monotonicity #664]: #666
-#533 := (>= #120 0::int)
-#535 := (not #533)
-#534 := (not #532)
-#536 := (or #534 #535)
-#537 := (not #536)
-#121 := (= #120 0::int)
-#538 := (iff #121 #537)
-#539 := [rewrite]: #538
-#8 := (- uf_2)
-#7 := (< uf_2 0::int)
-#9 := (ite #7 #8 uf_2)
-#11 := (- #9 uf_3)
-#12 := (= uf_1 #11)
-#126 := (iff #12 #121)
-#85 := (ite #7 #82 uf_2)
-#91 := (* -1::int uf_3)
-#92 := (+ #91 #85)
-#97 := (= uf_1 #92)
-#124 := (iff #97 #121)
-#112 := (+ #91 #107)
-#115 := (= uf_1 #112)
-#122 := (iff #115 #121)
-#123 := [rewrite]: #122
-#116 := (iff #97 #115)
-#113 := (= #92 #112)
-#110 := (= #85 #107)
-#104 := (ite #101 #82 uf_2)
-#108 := (= #104 #107)
-#109 := [rewrite]: #108
-#105 := (= #85 #104)
-#102 := (iff #7 #101)
-#103 := [rewrite]: #102
-#106 := [monotonicity #103]: #105
-#111 := [trans #106 #109]: #110
-#114 := [monotonicity #111]: #113
-#117 := [monotonicity #114]: #116
-#125 := [trans #117 #123]: #124
-#98 := (iff #12 #97)
-#95 := (= #11 #92)
-#88 := (- #85 uf_3)
-#93 := (= #88 #92)
-#94 := [rewrite]: #93
-#89 := (= #11 #88)
-#86 := (= #9 #85)
-#83 := (= #8 #82)
-#84 := [rewrite]: #83
-#87 := [monotonicity #84]: #86
-#90 := [monotonicity #87]: #89
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-#99 := [monotonicity #96]: #98
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-#80 := [asserted]: #12
-#128 := [mp #80 #127]: #121
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-#541 := [not-or-elim #540]: #532
-#668 := [mp~ #541 #667]: #665
-#1515 := (or #100 #241 #923 #1373 #1371 #961)
-#1516 := [th-lemma]: #1515
-#1572 := [unit-resolution #1516 #1566 #698 #1559 #724 #1406]: #100
-#1573 := [unit-resolution #917 #1572]: #887
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-#1574 := [unit-resolution #1224 #1573]: #881
-#1528 := (not #665)
-#1529 := (or #506 #884 #1528 #1364 #1011 #1343 #1113 #1151 #1337 #1048 #1357 #922 #1510)
-#1530 := [th-lemma]: #1529
-#1575 := [unit-resolution #1530 #1574 #668 #694 #1404 #750 #1545 #772 #1496 #828 #1554 #854 #1570]: #506
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-#744 := (= #565 #743)
-#745 := [monotonicity #742]: #744
-#574 := [not-or-elim #573]: #565
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-#670 := (= #533 #669)
-#671 := [monotonicity #664]: #670
-#542 := [not-or-elim #540]: #533
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-#1576 := [unit-resolution #1226 #1573]: #883
-#1523 := (not #743)
-#1522 := (not #669)
-#1524 := (or #509 #885 #1522 #1523 #1010 #1365 #1112 #1150 #1489 #1049 #1409 #923 #1371)
-#1525 := [th-lemma]: #1524
-#1577 := [unit-resolution #1525 #1576 #672 #698 #1521 #746 #1468 #776 #1488 #824 #1552 #850 #1566]: #509
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-#633 := (not #515)
-#632 := (not #509)
-#631 := (not #506)
-#635 := (or #631 #632 #633 #634)
-#523 := (and #506 #509 #515 #516)
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-#644 := (iff #528 #635)
-#636 := (not #635)
-#639 := (not #636)
-#642 := (iff #639 #635)
-#643 := [rewrite]: #642
-#640 := (iff #528 #639)
-#637 := (iff #523 #636)
-#638 := [rewrite]: #637
-#641 := [monotonicity #638]: #640
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-#62 := (= uf_2 uf_11)
-#61 := (= uf_3 uf_10)
-#63 := (and #61 #62)
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-#529 := (iff #64 #528)
-#526 := (iff #63 #523)
-#517 := (and #515 #516)
-#510 := (and #506 #509)
-#520 := (and #510 #517)
-#524 := (iff #520 #523)
-#525 := [rewrite]: #524
-#521 := (iff #63 #520)
-#518 := (iff #62 #517)
-#519 := [rewrite]: #518
-#511 := (iff #61 #510)
-#512 := [rewrite]: #511
-#522 := [monotonicity #512 #519]: #521
-#527 := [trans #522 #525]: #526
-#530 := [monotonicity #527]: #529
-#505 := [asserted]: #64
-#531 := [mp #505 #530]: #528
-#646 := [mp #531 #645]: #635
-#1578 := [unit-resolution #646 #1577 #1575 #1571 #1567]: false
-#1580 := [lemma #1578]: #1579
-#1657 := [unit-resolution #1580 #1406]: #1048
-#1625 := (or #194 #241)
-#1535 := [hypothesis]: #195
-#1538 := (or #194 #960)
-#1432 := [hypothesis]: #973
-#1255 := (or #974 #971)
-#1256 := [def-axiom]: #1255
-#1433 := [unit-resolution #1256 #1432]: #974
-#994 := [not-or-elim #992]: #978
-#1434 := [unit-resolution #994 #1433]: #194
-#1435 := [unit-resolution #993 #1434]: #963
-#1436 := (or #971 #195 #961)
-#1437 := [th-lemma]: #1436
-#1438 := [unit-resolution #1437 #1434 #1432]: #961
-#1439 := [unit-resolution #1250 #1438 #1435]: false
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-#1536 := [hypothesis]: #957
-#1537 := [th-lemma #1536 #1535 #1440]: false
-#1539 := [lemma #1537]: #1538
-#1581 := [unit-resolution #1539 #1535]: #960
-#1582 := (or #959 #957)
-#1583 := [th-lemma]: #1582
-#1584 := [unit-resolution #1583 #1581]: #959
-#1585 := (or #147 #1373 #241 #194 #973)
-#1586 := [th-lemma]: #1585
-#1587 := [unit-resolution #1586 #1535 #1440 #724 #1406]: #147
-#1588 := [unit-resolution #955 #1587]: #925
-#1589 := [unit-resolution #1238 #1588]: #921
-#1590 := [unit-resolution #1516 #1589 #698 #1584 #724 #1406]: #100
-#1591 := [unit-resolution #917 #1590]: #887
-#1592 := [unit-resolution #1224 #1591]: #881
-#1593 := (or #430 #1365 #1074 #1358 #1112 #194 #1364 #1011 #241)
-#1594 := [th-lemma]: #1593
-#1595 := [unit-resolution #1594 #1535 #1404 #750 #1507 #798 #1488 #824 #1406]: #430
-#1184 := [not-or-elim #1182]: #1168
-#1596 := [unit-resolution #1184 #1595]: #1165
-#1315 := (or #1164 #1161)
-#1316 := [def-axiom]: #1315
-#1597 := [unit-resolution #1316 #1596]: #1161
-#1533 := (or #288 #241)
-#1471 := (or #194 #288 #241)
-#1469 := (or #194 #288 #241 #1364 #1011)
-#1470 := [th-lemma]: #1469
-#1472 := [unit-resolution #1470 #1404 #750]: #1471
-#1473 := [unit-resolution #1472 #1405 #1406]: #194
-#1474 := [unit-resolution #993 #1473]: #963
-#1475 := [unit-resolution #1250 #1474]: #959
-#1476 := (or #147 #1373 #1364 #1011 #961 #241 #288)
-#1477 := [th-lemma]: #1476
-#1478 := [unit-resolution #1477 #1475 #724 #1406 #1404 #750 #1405]: #147
-#1479 := [unit-resolution #955 #1478]: #925
-#1480 := [unit-resolution #1238 #1479]: #921
-#1419 := (or #288 #241 #429)
-#1333 := [hypothesis]: #430
-#1408 := [unit-resolution #1280 #1407]: #1047
-#1410 := (or #335 #1049 #1409 #288 #241)
-#1411 := [th-lemma]: #1410
-#1412 := [unit-resolution #1411 #1405 #1408 #776 #1406]: #335
-#1413 := [unit-resolution #1107 #1412]: #1077
-#1414 := [unit-resolution #1286 #1413]: #1073
-#1415 := [unit-resolution #1352 #1414 #802 #1405 #828 #1333]: #1113
-#1416 := [unit-resolution #1298 #1415]: #1114
-#1417 := [unit-resolution #1145 #1416]: #383
-#1418 := [th-lemma #1414 #802 #1405 #1408 #776 #1406 #1417]: false
-#1420 := [lemma #1418]: #1419
-#1481 := [unit-resolution #1420 #1405 #1406]: #429
-#1482 := [unit-resolution #1183 #1481]: #1153
-#1483 := [unit-resolution #1308 #1482]: #1147
-#1490 := (or #477 #1150 #1489 #1365 #1112 #1049 #241 #1409 #288)
-#1491 := [th-lemma]: #1490
-#1492 := [unit-resolution #1491 #1405 #1468 #776 #1488 #824 #1483 #850 #1406]: #477
-#1493 := [unit-resolution #1222 #1492]: #1203
-#1494 := [unit-resolution #1326 #1493]: #1198
-#1495 := [unit-resolution #1310 #1482]: #1149
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-#1501 := [unit-resolution #1236 #1479]: #919
-#1502 := [unit-resolution #1328 #1493]: #1199
-#1508 := [unit-resolution #1248 #1474]: #957
-#1514 := [unit-resolution #1513 #1508 #694 #720 #1468 #776 #1507 #798 #1488 #824 #1483 #850 #1502 #880 #1501]: #515
-#1517 := [unit-resolution #1516 #1480 #698 #1475 #724 #1406]: #100
-#1518 := [unit-resolution #917 #1517]: #887
-#1519 := [unit-resolution #1226 #1518]: #883
-#1526 := [unit-resolution #1525 #1480 #672 #698 #1521 #746 #1468 #776 #1488 #824 #1483 #850 #1519]: #509
-#1527 := [unit-resolution #1224 #1518]: #881
-#1531 := [unit-resolution #1530 #1501 #668 #694 #1404 #750 #1497 #772 #1496 #828 #1495 #854 #1527]: #506
-#1532 := [unit-resolution #646 #1531 #1526 #1514 #1500]: false
-#1534 := [lemma #1532]: #1533
-#1598 := [unit-resolution #1534 #1406]: #288
-#1599 := [unit-resolution #1069 #1598]: #1039
-#1271 := (or #1038 #1033)
-#1272 := [def-axiom]: #1271
-#1600 := [unit-resolution #1272 #1599]: #1033
-#1601 := [unit-resolution #1236 #1588]: #919
-#1602 := (or #506 #884 #1528 #1364 #1011 #1365 #1112 #1337 #1357 #922 #1510 #1036 #1163 #1074 #1358)
-#1603 := [th-lemma]: #1602
-#1604 := [unit-resolution #1603 #1601 #668 #694 #1404 #750 #1600 #772 #1507 #798 #1488 #824 #1597 #854 #1592]: #506
-#1605 := [unit-resolution #1226 #1591]: #883
-#1313 := (or #1164 #1160)
-#1314 := [def-axiom]: #1313
-#1606 := [unit-resolution #1314 #1596]: #1160
-#1607 := (or #509 #885 #1522 #1523 #1010 #1343 #1113 #1489 #1409 #923 #1371 #1037 #1162 #1075 #1350)
-#1608 := [th-lemma]: #1607
-#1609 := [unit-resolution #1608 #1589 #672 #698 #1521 #746 #1459 #776 #1447 #802 #1496 #828 #1606 #850 #1605]: #509
-#1610 := (or #476 #1036 #1337 #1365 #1112 #1357 #194 #1364 #1011 #1163 #1074 #1358)
-#1611 := [th-lemma]: #1610
-#1612 := [unit-resolution #1611 #1597 #750 #1600 #772 #1507 #798 #1488 #824 #1404 #854 #1535]: #476
-#1221 := [not-or-elim #1220]: #1194
-#1613 := [unit-resolution #1221 #1612]: #1191
-#1319 := (or #1190 #1185)
-#1320 := [def-axiom]: #1319
-#1614 := [unit-resolution #1320 #1613]: #1185
-#1615 := (or #516 #923 #1373 #1371 #1372 #1075 #1350 #1489 #1409 #1037 #973 #1162 #1188 #1343 #1113 #1523 #1010)
-#1616 := [th-lemma]: #1615
-#1617 := [unit-resolution #1616 #1606 #1440 #724 #1521 #746 #1459 #776 #1447 #802 #1496 #828 #698 #850 #1614 #876 #1589]: #516
-#1321 := (or #1190 #1187)
-#1322 := [def-axiom]: #1321
-#1618 := [unit-resolution #1322 #1613]: #1187
-#1619 := [unit-resolution #994 #1535]: #975
-#1253 := (or #974 #970)
-#1254 := [def-axiom]: #1253
-#1620 := [unit-resolution #1254 #1619]: #970
-#1621 := (or #515 #922 #1509 #1510 #1511 #1074 #1358 #1337 #1357 #1036 #972 #1163 #1189 #1365 #1112 #1364 #1011)
-#1622 := [th-lemma]: #1621
-#1623 := [unit-resolution #1622 #1620 #694 #720 #1404 #750 #1600 #772 #1507 #798 #1488 #824 #1597 #854 #1618 #880 #1601]: #515
-#1624 := [unit-resolution #646 #1623 #1617 #1609 #1604]: false
-#1626 := [lemma #1624]: #1625
-#1658 := [unit-resolution #1626 #1406]: #194
-#1659 := [unit-resolution #993 #1658]: #963
-#1660 := [unit-resolution #1250 #1659]: #959
-#1661 := [unit-resolution #1563 #1660 #1658 #724 #1406]: #147
-#1662 := [unit-resolution #955 #1661]: #925
-#1663 := [unit-resolution #1238 #1662]: #921
-#1664 := [unit-resolution #1516 #1663 #698 #1660 #724 #1406]: #100
-#1665 := [unit-resolution #917 #1664]: #887
-#1666 := [unit-resolution #1226 #1665]: #883
-#1667 := [unit-resolution #1224 #1665]: #881
-#1668 := [unit-resolution #1236 #1662]: #919
-#1669 := [unit-resolution #1248 #1659]: #957
-#1655 := (or #429 #1113 #1010 #960 #1036 #1074 #1112 #922 #923 #884 #885)
-#1632 := [hypothesis]: #919
-#1636 := [hypothesis]: #881
-#1638 := [hypothesis]: #1071
-#1639 := [hypothesis]: #1033
-#1334 := [unit-resolution #1184 #1333]: #1165
-#1335 := [unit-resolution #1316 #1334]: #1161
-#1640 := [unit-resolution #1603 #1335 #668 #694 #1404 #750 #1639 #772 #1638 #798 #1637 #824 #1632 #854 #1636]: #506
-#1641 := [hypothesis]: #883
-#1642 := [hypothesis]: #921
-#1643 := [hypothesis]: #1111
-#1644 := [hypothesis]: #1008
-#1631 := [unit-resolution #1314 #1334]: #1160
-#1645 := [unit-resolution #1608 #1631 #672 #698 #1644 #746 #1459 #776 #1447 #802 #1643 #828 #1642 #850 #1641]: #509
-#1634 := (or #1202 #922 #960 #632 #631 #429)
-#1627 := [hypothesis]: #506
-#1628 := [hypothesis]: #509
-#1384 := [hypothesis]: #1203
-#1396 := (or #1202 #516 #429)
-#1331 := [hypothesis]: #634
-#1385 := [unit-resolution #1326 #1384]: #1198
-#1382 := (or #1189 #1200 #516 #429)
-#1332 := [hypothesis]: #1198
-#1336 := [hypothesis]: #1187
-#1338 := (or #382 #1189 #1337 #429 #1163 #1200)
-#1339 := [th-lemma]: #1338
-#1340 := [unit-resolution #1339 #1336 #1335 #854 #1333 #1332]: #382
-#1341 := [unit-resolution #1145 #1340]: #1115
-#1342 := [unit-resolution #1298 #1341]: #1111
-#1344 := (or #335 #1113 #429 #1343 #1189 #1337 #1163 #1200)
-#1345 := [th-lemma]: #1344
-#1346 := [unit-resolution #1345 #1342 #828 #1333 #1335 #854 #1336 #1332]: #335
-#1347 := [unit-resolution #1107 #1346]: #1077
-#1348 := [unit-resolution #1284 #1347]: #1071
-#1349 := [unit-resolution #1286 #1347]: #1073
-#1353 := [unit-resolution #1352 #1349 #802 #1342 #828 #1333]: #288
-#1354 := [unit-resolution #1069 #1353]: #1039
-#1355 := [unit-resolution #1272 #1354]: #1033
-#1356 := [unit-resolution #1296 #1341]: #1109
-#1359 := (or #242 #1036 #1357 #429 #1189 #1337 #1163 #1200 #1074 #1358)
-#1360 := [th-lemma]: #1359
-#1361 := [unit-resolution #1360 #1355 #772 #1348 #798 #1333 #1335 #854 #1336 #1332]: #242
-#1362 := [unit-resolution #1032 #1361]: #1013
-#1363 := [unit-resolution #1268 #1362]: #1009
-#1366 := (or #194 #1011 #1364 #1074 #1358 #1112 #1365 #1036 #1357 #1189 #1337 #1163 #1200)
-#1367 := [th-lemma]: #1366
-#1368 := [unit-resolution #1367 #1363 #750 #1355 #772 #1348 #798 #1356 #824 #1335 #854 #1336 #1332]: #194
-#1369 := [unit-resolution #993 #1368]: #963
-#1370 := [unit-resolution #1250 #1369]: #959
-#1374 := (or #923 #1371 #516 #1372 #1200 #961 #1373 #1036 #1357 #1337 #1163 #1074 #1358)
-#1375 := [th-lemma]: #1374
-#1376 := [unit-resolution #1375 #1370 #698 #724 #1355 #772 #1348 #798 #1335 #854 #1332 #876 #1331]: #923
-#1377 := (or #147 #195 #961 #1373 #1036 #1357 #429 #1189 #1337 #1163 #1200 #1074 #1358)
-#1378 := [th-lemma]: #1377
-#1379 := [unit-resolution #1378 #1368 #1370 #724 #1355 #772 #1348 #798 #1333 #1335 #854 #1336 #1332]: #147
-#1380 := [unit-resolution #955 #1379]: #925
-#1381 := [unit-resolution #1238 #1380 #1376]: false
-#1383 := [lemma #1381]: #1382
-#1386 := [unit-resolution #1383 #1385 #1331 #1333]: #1189
-#1387 := [unit-resolution #1322 #1386]: #1190
-#1388 := [unit-resolution #1328 #1384]: #1199
-#1389 := (or #1187 #1185)
-#1390 := [th-lemma]: #1389
-#1391 := [unit-resolution #1390 #1386]: #1185
-#1392 := (or #476 #1188 #1201)
-#1393 := [th-lemma]: #1392
-#1394 := [unit-resolution #1393 #1391 #1388]: #476
-#1395 := [unit-resolution #1221 #1394 #1387]: false
-#1397 := [lemma #1395]: #1396
-#1629 := [unit-resolution #1397 #1384 #1333]: #516
-#1630 := [unit-resolution #646 #1629 #1628 #1627]: #633
-#1633 := [th-lemma #1632 #720 #694 #880 #1447 #802 #850 #776 #1459 #1631 #1536 #1388 #1630]: false
-#1635 := [lemma #1633]: #1634
-#1646 := [unit-resolution #1635 #1645 #1536 #1632 #1640 #1333]: #1202
-#1647 := [unit-resolution #1222 #1646]: #476
-#1648 := [unit-resolution #1221 #1647]: #1191
-#1649 := [unit-resolution #1322 #1648]: #1187
-#1650 := [unit-resolution #1320 #1648]: #1185
-#1651 := [unit-resolution #1616 #1650 #1440 #724 #1644 #746 #1459 #776 #1447 #802 #1643 #828 #698 #850 #1631 #876 #1642]: #516
-#1652 := [unit-resolution #646 #1651 #1645 #1640]: #633
-#1653 := [unit-resolution #1622 #1652 #694 #720 #1404 #750 #1639 #772 #1638 #798 #1637 #824 #1335 #854 #1649 #880 #1632]: #972
-#1654 := [th-lemma #1459 #1647 #850 #828 #1643 #776 #746 #1644 #1631 #1447 #802 #1536 #1653]: false
-#1656 := [lemma #1654]: #1655
-#1670 := [unit-resolution #1656 #1496 #1521 #1669 #1600 #1507 #1488 #1668 #1663 #1667 #1666]: #429
-#1671 := [th-lemma #1600 #1670 #824 #1507 #798 #1488 #1657]: false
-#1672 := [lemma #1671]: #241
-#1683 := [unit-resolution #1031 #1672]: #1001
-#1703 := [unit-resolution #1262 #1683]: #997
-#1920 := (or #194 #242 #1364 #999 #288)
-#1921 := [th-lemma]: #1920
-#1922 := [unit-resolution #1921 #1405 #1703 #750 #1672]: #194
-#1923 := [unit-resolution #993 #1922]: #963
-#1924 := [unit-resolution #1248 #1923]: #957
-#1925 := [unit-resolution #1250 #1923]: #959
-#1843 := (or #288 #961 #147)
-#1763 := [hypothesis]: #148
-#1828 := [hypothesis]: #959
-#1842 := [th-lemma #724 #750 #1703 #1828 #1405 #1763]: false
-#1844 := [lemma #1842]: #1843
-#1926 := [unit-resolution #1844 #1925 #1405]: #147
-#1927 := [unit-resolution #955 #1926]: #925
-#1928 := [unit-resolution #1236 #1927]: #919
-#2116 := [unit-resolution #1310 #2047]: #1149
-#2084 := (or #288 #516)
-#2050 := (or #288 #961 #516)
-#2037 := [hypothesis]: #1087
-#2038 := [unit-resolution #1292 #2037]: #1088
-#2041 := (or #1085 #336)
-#2039 := (or #1085 #1075 #336)
-#2040 := [th-lemma]: #2039
-#2042 := [unit-resolution #2040 #1447]: #2041
-#2043 := [unit-resolution #2042 #2037]: #336
-#2044 := [unit-resolution #1108 #2043 #2038]: false
-#2045 := [lemma #2044]: #1085
-#2035 := (or #1087 #1150 #961 #1048 #516)
-#1845 := [hypothesis]: #1085
-#1874 := [hypothesis]: #477
-#1901 := (or #335 #476)
-#1895 := [unit-resolution #1222 #1874]: #1203
-#1896 := [unit-resolution #1326 #1895]: #1198
-#1893 := (or #429 #1200)
-#1880 := (or #335 #1113 #429 #1163 #1200)
-#1857 := [hypothesis]: #1189
-#1858 := [unit-resolution #1322 #1857]: #1190
-#1859 := [unit-resolution #1221 #1858]: #477
-#1860 := [unit-resolution #1222 #1859]: #1203
-#1861 := [unit-resolution #1390 #1857]: #1185
-#1862 := [unit-resolution #1393 #1859 #1861]: #1201
-#1863 := [unit-resolution #1328 #1862 #1860]: false
-#1864 := [lemma #1863]: #1187
-#1878 := (or #335 #1113 #429 #1189 #1163 #1200)
-#1879 := [unit-resolution #1345 #828 #854]: #1878
-#1881 := [unit-resolution #1879 #1864]: #1880
-#1882 := [unit-resolution #1881 #1335 #1870 #1333 #1332]: #335
-#1883 := [unit-resolution #1107 #1882]: #1077
-#1884 := [unit-resolution #1689 #1333 #1870]: #288
-#1885 := [unit-resolution #1069 #1884]: #1039
-#1886 := [unit-resolution #1272 #1885]: #1033
-#1889 := (or #1036 #429 #1163 #1200 #1074)
-#1887 := (or #242 #1036 #429 #1189 #1163 #1200 #1074)
-#1888 := [unit-resolution #1360 #772 #798 #854]: #1887
-#1890 := [unit-resolution #1888 #1672 #1864]: #1889
-#1891 := [unit-resolution #1890 #1886 #1332 #1333 #1335]: #1074
-#1892 := [unit-resolution #1284 #1891 #1883]: false
-#1894 := [lemma #1892]: #1893
-#1897 := [unit-resolution #1894 #1896]: #429
-#1898 := [unit-resolution #1183 #1897]: #1153
-#1899 := [unit-resolution #1310 #1898]: #1149
-#1900 := [th-lemma #854 #1899 #1870 #828 #1422 #1874]: false
-#1902 := [lemma #1900]: #1901
-#1950 := [unit-resolution #1902 #1874]: #335
-#1951 := [unit-resolution #1107 #1950]: #1077
-#1952 := [unit-resolution #1284 #1951]: #1071
-#1953 := [unit-resolution #1328 #1895]: #1199
-#1876 := (or #1109 #476)
-#1673 := [hypothesis]: #1112
-#1760 := (or #429 #1109)
-#1674 := [unit-resolution #1296 #1673]: #1114
-#1675 := [unit-resolution #1145 #1674]: #383
-#1676 := [unit-resolution #1146 #1675]: #1127
-#1677 := [unit-resolution #1304 #1676]: #1123
-#1687 := [unit-resolution #1686 #1673]: #1111
-#1743 := [unit-resolution #1689 #1333 #1687]: #288
-#1744 := [unit-resolution #1069 #1743]: #1039
-#1745 := [unit-resolution #1272 #1744]: #1033
-#1678 := (or #335 #1343 #429 #382 #1125)
-#1679 := [th-lemma]: #1678
-#1746 := [unit-resolution #1679 #1333 #1675 #828 #1677]: #335
-#1747 := [unit-resolution #1107 #1746]: #1077
-#1748 := [unit-resolution #1284 #1747]: #1071
-#1259 := (or #1000 #995)
-#1260 := [def-axiom]: #1259
-#1684 := [unit-resolution #1260 #1683]: #995
-#1693 := (or #147 #1373 #1343 #1074 #1358 #1523 #429 #973 #998 #1036 #1357 #1125)
-#1694 := [th-lemma]: #1693
-#1749 := [unit-resolution #1694 #1745 #724 #1684 #746 #1440 #772 #1748 #798 #1677 #828 #1333]: #147
-#1750 := [unit-resolution #955 #1749]: #925
-#1751 := [unit-resolution #1238 #1750]: #921
-#1714 := (or #100 #923 #1373 #1371 #1343 #1523 #1074 #1358 #973 #429 #382 #1036 #1357 #998 #1125)
-#1715 := [th-lemma]: #1714
-#1752 := [unit-resolution #1715 #1751 #698 #1440 #724 #1684 #746 #1675 #772 #1748 #798 #1745 #1677 #828 #1333]: #100
-#1753 := [unit-resolution #1236 #1750]: #919
-#1727 := (or #1109 #429 #972)
-#1680 := [unit-resolution #1679 #1675 #1677 #828 #1333]: #335
-#1681 := [unit-resolution #1107 #1680]: #1077
-#1682 := [unit-resolution #1284 #1681]: #1071
-#1690 := [unit-resolution #1689 #1687 #1333]: #288
-#1691 := [unit-resolution #1069 #1690]: #1039
-#1692 := [unit-resolution #1272 #1691]: #1033
-#1695 := [unit-resolution #1694 #1692 #724 #1684 #746 #1440 #772 #1682 #798 #1677 #828 #1333]: #147
-#1696 := [unit-resolution #955 #1695]: #925
-#1697 := [unit-resolution #1236 #1696]: #919
-#1698 := (or #476 #429 #1337 #1163 #382)
-#1699 := [th-lemma]: #1698
-#1700 := [unit-resolution #1699 #1675 #1335 #854 #1333]: #476
-#1701 := [unit-resolution #1221 #1700]: #1191
-#1702 := [unit-resolution #1322 #1701]: #1187
-#1704 := [hypothesis]: #970
-#1301 := (or #1126 #1122)
-#1302 := [def-axiom]: #1301
-#1705 := [unit-resolution #1302 #1676]: #1122
-#1706 := (or #515 #922 #1509 #1510 #1511 #1075 #1350 #1337 #1409 #1037 #1163 #1365 #1364 #972 #999 #1124 #1189)
-#1707 := [th-lemma]: #1706
-#1708 := [unit-resolution #1707 #1705 #1704 #720 #1703 #750 #1459 #776 #1447 #802 #694 #824 #1335 #854 #1702 #880 #1697]: #515
-#1709 := [unit-resolution #1238 #1696]: #921
-#1710 := [unit-resolution #1320 #1701]: #1185
-#1711 := (or #516 #923 #1373 #1371 #1372 #1074 #1358 #1489 #1357 #1036 #1162 #1343 #1523 #973 #998 #1125 #1188)
-#1712 := [th-lemma]: #1711
-#1713 := [unit-resolution #1712 #1692 #1440 #724 #1684 #746 #698 #772 #1682 #798 #1677 #828 #1631 #850 #1710 #876 #1709]: #516
-#1716 := [unit-resolution #1715 #1709 #698 #1440 #724 #1684 #746 #1692 #772 #1682 #798 #1675 #1677 #828 #1333]: #100
-#1717 := [unit-resolution #917 #1716]: #887
-#1718 := [unit-resolution #1226 #1717]: #883
-#1719 := (or #509 #885 #1522 #1523 #1343 #1489 #1357 #923 #1371 #1036 #1162 #998 #1125)
-#1720 := [th-lemma]: #1719
-#1721 := [unit-resolution #1720 #1709 #672 #698 #1684 #746 #1692 #772 #1677 #828 #1631 #850 #1718]: #509
-#1722 := [unit-resolution #1224 #1717]: #881
-#1723 := (or #506 #884 #1528 #1364 #1365 #1337 #1409 #922 #1510 #1037 #1163 #999 #1124)
-#1724 := [th-lemma]: #1723
-#1725 := [unit-resolution #1724 #1697 #668 #694 #1703 #750 #1459 #776 #1705 #824 #1335 #854 #1722]: #506
-#1726 := [unit-resolution #646 #1725 #1721 #1713 #1708]: false
-#1728 := [lemma #1726]: #1727
-#1754 := [unit-resolution #1728 #1333 #1673]: #972
-#1755 := [unit-resolution #1254 #1754]: #974
-#1756 := [unit-resolution #994 #1755]: #194
-#1757 := [unit-resolution #993 #1756]: #963
-#1758 := [unit-resolution #1248 #1757]: #957
-#1759 := [th-lemma #1758 #1753 #720 #694 #1675 #1459 #776 #1447 #802 #1752]: false
-#1761 := [lemma #1759]: #1760
-#1871 := [unit-resolution #1761 #1673]: #429
-#1872 := [unit-resolution #1183 #1871]: #1153
-#1873 := [unit-resolution #1310 #1872]: #1149
-#1875 := [th-lemma #1675 #1874 #854 #1873 #1871]: false
-#1877 := [lemma #1875]: #1876
-#1954 := [unit-resolution #1877 #1874]: #1109
-#1948 := (or #288 #1112 #1200 #1201 #1074)
-#1917 := [unit-resolution #1894 #1332]: #429
-#1918 := [unit-resolution #1183 #1917]: #1153
-#1919 := [unit-resolution #1308 #1918]: #1147
-#1929 := [unit-resolution #1310 #1918]: #1149
-#1930 := [unit-resolution #1238 #1927]: #921
-#1931 := [hypothesis]: #1199
-#1932 := (or #515 #922 #1201 #1074 #1112 #960 #1150)
-#1933 := [unit-resolution #1513 #694 #720 #1468 #776 #798 #824 #850 #880]: #1932
-#1934 := [unit-resolution #1933 #1928 #1931 #1637 #1638 #1919 #1924]: #515
-#1935 := (or #516 #923 #1200 #1113 #961 #1151 #1048)
-#1936 := [unit-resolution #1499 #698 #724 #772 #1447 #802 #828 #854 #876]: #1935
-#1937 := [unit-resolution #1936 #1930 #1870 #1332 #1929 #1497 #1925]: #516
-#1915 := (or #898 #634 #633 #923 #961 #1048 #1151 #922 #960 #1112 #1150)
-#1903 := [hypothesis]: #515
-#1904 := [hypothesis]: #516
-#1905 := [hypothesis]: #899
-#1906 := [unit-resolution #1232 #1905]: #895
-#1907 := (or #509 #1522 #1523 #897 #998 #1489 #1150 #960 #1509 #1112 #1365 #1049 #922 #1510 #1409)
-#1908 := [th-lemma]: #1907
-#1909 := [unit-resolution #1908 #1906 #1632 #694 #1536 #720 #1684 #746 #1468 #776 #1637 #824 #1540 #850 #672]: #509
-#1774 := [hypothesis]: #1149
-#1229 := (or #898 #894)
-#1230 := [def-axiom]: #1229
-#1910 := [unit-resolution #1230 #1905]: #894
-#1911 := (or #506 #1528 #1364 #896 #999 #1337 #1151 #961 #1373 #1113 #1343 #1048 #923 #1371 #1357)
-#1912 := [th-lemma]: #1911
-#1913 := [unit-resolution #1912 #1910 #1642 #698 #1828 #724 #1703 #750 #1545 #772 #1870 #828 #1774 #854 #668]: #506
-#1914 := [unit-resolution #646 #1913 #1909 #1904 #1903]: false
-#1916 := [lemma #1914]: #1915
-#1938 := [unit-resolution #1916 #1937 #1934 #1930 #1925 #1497 #1929 #1928 #1924 #1637 #1919]: #898
-#1939 := [unit-resolution #918 #1938]: #100
-#1940 := [unit-resolution #917 #1939]: #887
-#1941 := [unit-resolution #1224 #1940]: #881
-#1942 := (or #506 #884 #1113 #1151 #1048 #922)
-#1943 := [unit-resolution #1530 #668 #694 #1404 #750 #772 #828 #854]: #1942
-#1944 := [unit-resolution #1943 #1941 #1497 #1870 #1929 #1928]: #506
-#1945 := [unit-resolution #646 #1944 #1937 #1934]: #632
-#1946 := [unit-resolution #1908 #1945 #1928 #694 #1924 #720 #1684 #746 #1468 #776 #1637 #824 #1919 #850 #672]: #897
-#1947 := [th-lemma #1946 #1939 #1742]: false
-#1949 := [lemma #1947]: #1948
-#1955 := [unit-resolution #1949 #1954 #1896 #1953 #1952]: #288
-#1956 := [unit-resolution #1069 #1955]: #1039
-#1957 := [unit-resolution #1272 #1956]: #1033
-#1958 := [unit-resolution #1735 #1954]: #382
-#1959 := (or #1123 #383 #1113)
-#1960 := [th-lemma]: #1959
-#1961 := [unit-resolution #1960 #1958 #1870]: #1123
-#1962 := [unit-resolution #1308 #1898]: #1147
-#1965 := (or #1160 #1112 #1074 #289 #1150)
-#1963 := (or #1160 #1365 #1112 #1074 #1358 #289 #1150)
-#1964 := [th-lemma]: #1963
-#1966 := [unit-resolution #1964 #798 #824]: #1965
-#1967 := [unit-resolution #1966 #1955 #1954 #1962 #1952]: #1160
-#1970 := (or #1162 #1151 #1036 #1125 #147 #1074)
-#1968 := (or #1162 #1151 #1343 #1523 #998 #1036 #1357 #1125 #973 #147 #1373 #1074 #1358)
-#1969 := [th-lemma]: #1968
-#1971 := [unit-resolution #1969 #724 #1684 #746 #1440 #772 #798 #828]: #1970
-#1972 := [unit-resolution #1971 #1967 #1952 #1961 #1899 #1957]: #147
-#1973 := [unit-resolution #955 #1972]: #925
-#1974 := [unit-resolution #1236 #1973]: #919
-#1975 := (or #1161 #1151 #430)
-#1976 := [th-lemma]: #1975
-#1977 := [unit-resolution #1976 #1899 #1897]: #1161
-#1978 := (or #476 #1036 #1112 #194 #1163 #1074)
-#1979 := [unit-resolution #1611 #750 #772 #798 #824 #1404 #854]: #1978
-#1980 := [unit-resolution #1979 #1957 #1874 #1954 #1952 #1977]: #194
-#1981 := [unit-resolution #993 #1980]: #963
-#1982 := [unit-resolution #1248 #1981]: #957
-#1983 := [unit-resolution #1933 #1974 #1953 #1954 #1952 #1962 #1982]: #515
-#1984 := [unit-resolution #1238 #1973]: #921
-#1985 := [unit-resolution #1250 #1981]: #959
-#1849 := (or #923 #516 #1200 #961 #1036 #1163 #1074)
-#1850 := [unit-resolution #1375 #698 #724 #772 #798 #854 #876]: #1849
-#1986 := [unit-resolution #1850 #1985 #1896 #1952 #1977 #1957 #1984]: #516
-#1987 := (or #509 #923 #1036 #1162 #1125)
-#1988 := [unit-resolution #1720 #672 #698 #1684 #746 #1742 #772 #828 #850]: #1987
-#1989 := [unit-resolution #1988 #1984 #1961 #1967 #1957]: #509
-#1990 := [unit-resolution #646 #1989 #1986 #1983]: #631
-#1991 := (or #506 #884 #1112 #922 #1036 #1163 #1074)
-#1992 := [unit-resolution #1603 #668 #694 #1404 #750 #772 #798 #824 #854]: #1991
-#1993 := [unit-resolution #1992 #1990 #1977 #1954 #1952 #1957 #1974]: #884
-#1994 := [unit-resolution #1224 #1993]: #886
-#1995 := [unit-resolution #917 #1994]: #101
-#1996 := [th-lemma #746 #1684 #1957 #1874 #854 #1899 #1870 #828 #1984 #1995 #698 #772 #1972]: false
-#1997 := [lemma #1996]: #476
-#2014 := [unit-resolution #1221 #1997]: #1191
-#2015 := [unit-resolution #1320 #2014]: #1185
-#2034 := [th-lemma #876 #850 #1540 #2015 #802 #2033 #698 #772 #1828 #724 #1545 #1845 #1331]: false
-#2036 := [lemma #2034]: #2035
-#2048 := [unit-resolution #2036 #1497 #2045 #1828 #1331]: #1150
-#2049 := [unit-resolution #1308 #2048 #2047]: false
-#2051 := [lemma #2049]: #2050
-#2082 := [unit-resolution #2051 #1405 #1331]: #961
-#2083 := [unit-resolution #1250 #1923 #2082]: false
-#2085 := [lemma #2083]: #2084
-#2089 := [unit-resolution #2085 #1331]: #288
-#2090 := [unit-resolution #1069 #2089]: #1039
-#2091 := [unit-resolution #1272 #2090]: #1033
-#2065 := [hypothesis]: #935
-#2066 := [unit-resolution #1244 #2065]: #936
-#2067 := [unit-resolution #956 #2066]: #147
-#2068 := [th-lemma #2065 #2033 #2067]: false
-#2069 := [lemma #2068]: #933
-#2100 := (or #429 #516)
-#2063 := (or #429 #1086 #516)
-#2052 := [unit-resolution #1761 #1333]: #1109
-#2053 := [unit-resolution #1735 #2052]: #382
-#2054 := [hypothesis]: #1084
-#2055 := (or #1200 #516 #429)
-#2056 := [unit-resolution #1383 #1864]: #2055
-#2057 := [unit-resolution #2056 #1333 #1331]: #1200
-#2060 := (or #1086 #383 #1113 #1188 #1162 #1198)
-#2058 := (or #1086 #383 #1113 #1343 #1188 #1489 #1162 #1198 #1075)
-#2059 := [th-lemma]: #2058
-#2061 := [unit-resolution #2059 #1447 #828 #850]: #2060
-#2062 := [unit-resolution #2061 #1631 #2057 #2015 #1870 #2054 #2053]: false
-#2064 := [lemma #2062]: #2063
-#2086 := [unit-resolution #2064 #1333 #1331]: #1086
-#2087 := [unit-resolution #1290 #2086]: #1088
-#2088 := [unit-resolution #1108 #2087]: #335
-#2080 := (or #1109 #516)
-#2070 := [unit-resolution #1308 #1872]: #1147
-#2020 := (or #194 #1150 #516 #1125 #1151 #1124)
-#1762 := [hypothesis]: #1122
-#1775 := [hypothesis]: #1123
-#1803 := (or #194 #1151 #1150 #1125 #147 #1124)
-#1764 := [unit-resolution #956 #1763]: #937
-#1765 := [unit-resolution #1244 #1764]: #933
-#1766 := (or #509 #885 #1522 #1364 #1365 #1489 #999 #1124 #1371 #1037 #1409 #935 #1150 #972 #1509 #1075 #1350)
-#1767 := [th-lemma]: #1766
-#1768 := [unit-resolution #1767 #1620 #1765 #698 #672 #720 #1703 #750 #1459 #776 #1447 #802 #1762 #824 #1540 #850 #1742]: #509
-#1769 := (or #100 #1371 #935 #194 #147)
-#1770 := [th-lemma]: #1769
-#1771 := [unit-resolution #1770 #1535 #1765 #698 #1763]: #100
-#1772 := [unit-resolution #917 #1771]: #887
-#1773 := [unit-resolution #1224 #1772]: #881
-#1776 := (or #335 #194 #1364 #1037 #1409 #999)
-#1777 := [th-lemma]: #1776
-#1778 := [unit-resolution #1777 #1535 #750 #1459 #776 #1703]: #335
-#1779 := [unit-resolution #1107 #1778]: #1077
-#1780 := [unit-resolution #1284 #1779]: #1071
-#1241 := (or #936 #932)
-#1242 := [def-axiom]: #1241
-#1781 := [unit-resolution #1242 #1764]: #932
-#1782 := (or #288 #1364 #999 #973 #147 #1373 #194)
-#1783 := [th-lemma]: #1782
-#1784 := [unit-resolution #1783 #1535 #1440 #724 #1703 #750 #1763]: #288
-#1785 := [unit-resolution #1069 #1784]: #1039
-#1786 := [unit-resolution #1272 #1785]: #1033
-#1787 := (or #506 #884 #1528 #1523 #1343 #1337 #998 #1125 #1510 #1036 #1357 #934 #1151 #973 #1373 #1074 #1358)
-#1788 := [th-lemma]: #1787
-#1789 := [unit-resolution #1788 #1786 #1781 #694 #1440 #724 #1684 #746 #668 #772 #1780 #798 #1775 #828 #1774 #854 #1773]: #506
-#1790 := (or #476 #1337 #1343 #1523 #1036 #1357 #998 #1125 #973 #147 #1373 #1074 #1358 #1151 #194)
-#1791 := [th-lemma]: #1790
-#1792 := [unit-resolution #1791 #1535 #1440 #724 #1684 #746 #1786 #772 #1780 #798 #1775 #828 #1774 #854 #1763]: #476
-#1793 := [unit-resolution #1221 #1792]: #1191
-#1794 := [unit-resolution #1320 #1793]: #1185
-#1795 := (or #516 #1372 #1489 #1409 #1037 #1188 #1371 #935 #972 #1509 #1075 #1350 #1150)
-#1796 := [th-lemma]: #1795
-#1797 := [unit-resolution #1796 #1620 #698 #720 #1459 #776 #1447 #802 #1540 #850 #1794 #876 #1765]: #516
-#1798 := [unit-resolution #1322 #1793]: #1187
-#1799 := (or #515 #1511 #1337 #1357 #1036 #1189 #1510 #934 #973 #1373 #1074 #1358 #1151)
-#1800 := [th-lemma]: #1799
-#1801 := [unit-resolution #1800 #1786 #1440 #724 #694 #772 #1780 #798 #1774 #854 #1798 #880 #1781]: #515
-#1802 := [unit-resolution #646 #1801 #1797 #1789 #1768]: false
-#1804 := [lemma #1802]: #1803
-#2011 := [unit-resolution #1804 #1535 #1540 #1775 #1774 #1762]: #147
-#2012 := [unit-resolution #955 #2011]: #925
-#2013 := [unit-resolution #1238 #2012]: #921
-#2016 := (or #516 #1188 #935 #972 #1150)
-#2017 := [unit-resolution #1796 #698 #720 #1459 #776 #1447 #802 #850 #876]: #2016
-#2018 := [unit-resolution #2017 #1620 #2015 #1540 #1331]: #935
-#2019 := [th-lemma #2018 #2013 #2011]: false
-#2021 := [lemma #2019]: #2020
-#2071 := [unit-resolution #2021 #2070 #1331 #1677 #1873 #1705]: #194
-#2072 := [unit-resolution #993 #2071]: #963
-#2073 := [unit-resolution #2010 #1675]: #288
-#2074 := [unit-resolution #1069 #2073]: #1039
-#2075 := [unit-resolution #1272 #2074]: #1033
-#2076 := (or #516 #1036 #1188 #935 #1150 #960 #1087)
-#1823 := (or #516 #1372 #1489 #1357 #1036 #1188 #1371 #935 #1509 #1350 #1150 #960 #1523 #998 #1087)
-#1824 := [th-lemma]: #1823
-#2077 := [unit-resolution #1824 #720 #1684 #746 #698 #772 #802 #850 #876]: #2076
-#2078 := [unit-resolution #2077 #2075 #2015 #2045 #2069 #1331 #2070]: #960
-#2079 := [unit-resolution #1248 #2078 #2072]: false
-#2081 := [lemma #2079]: #2080
-#2092 := [unit-resolution #2081 #1331]: #1109
-#2093 := [unit-resolution #1735 #2092]: #382
-#2094 := [unit-resolution #1960 #2093 #1870]: #1123
-#2095 := (or #516 #923 #1074 #1036 #1162 #1125 #1188)
-#2096 := [unit-resolution #1712 #1440 #724 #1684 #746 #698 #772 #798 #828 #850 #876]: #2095
-#2097 := [unit-resolution #2096 #1631 #2015 #2094 #1331 #2091 #2033]: #1074
-#2098 := [unit-resolution #1284 #2097]: #1076
-#2099 := [unit-resolution #1107 #2098 #2088]: false
-#2101 := [lemma #2099]: #2100
-#2102 := [unit-resolution #2101 #1331]: #429
-#2103 := [unit-resolution #1183 #2102]: #1153
-#2104 := [unit-resolution #1308 #2103]: #1147
-#2105 := [unit-resolution #2077 #2104 #2015 #2045 #2069 #1331 #2091]: #960
-#2106 := [unit-resolution #1248 #2105]: #962
-#2107 := [unit-resolution #2017 #2104 #2015 #2069 #1331]: #972
-#2108 := [unit-resolution #1254 #2107]: #974
-#2109 := [unit-resolution #994 #2108]: #194
-#2110 := [unit-resolution #993 #2109 #2106]: false
-#2111 := [lemma #2110]: #516
-#2127 := (or #1199 #1189 #477)
-#2128 := [th-lemma]: #2127
-#2129 := [unit-resolution #2128 #1864 #1997]: #1199
-#2125 := (or #335 #288)
-#1806 := [unit-resolution #1108 #1422]: #1089
-#1829 := [unit-resolution #1290 #1806]: #1084
-#2117 := (or #515 #1511 #1337 #1151 #1189 #1358 #922 #1510 #1409 #960 #1509 #1049 #1086)
-#2118 := [th-lemma]: #2117
-#2119 := [unit-resolution #2118 #1829 #1924 #720 #1468 #776 #694 #798 #2116 #854 #1864 #880 #1928]: #515
-#2120 := (or #101 #922 #1510 #1409 #960 #1509 #1049 #335 #288)
-#2121 := [th-lemma]: #2120
-#2122 := [unit-resolution #2121 #1422 #694 #1924 #720 #1405 #1468 #776 #1928]: #101
-#2123 := [unit-resolution #918 #2122]: #899
-#2124 := [unit-resolution #1916 #2123 #2119 #2111 #1497 #1925 #2033 #2116 #1928 #1924 #2115 #2112]: false
-#2126 := [lemma #2124]: #2125
-#2130 := [unit-resolution #2126 #1405]: #335
-#2131 := [unit-resolution #1107 #2130]: #1077
-#2132 := [unit-resolution #1284 #2131]: #1071
-#2133 := [unit-resolution #1933 #2132 #2129 #2115 #1928 #2112 #1924]: #515
-#2134 := [unit-resolution #1916 #2133 #2111 #1497 #1925 #2033 #2116 #1928 #1924 #2115 #2112]: #898
-#2135 := [unit-resolution #918 #2134]: #100
-#2136 := [unit-resolution #917 #2135]: #887
-#2137 := [unit-resolution #1224 #2136]: #881
-#2138 := [unit-resolution #1943 #2137 #1497 #1870 #2116 #1928]: #506
-#2139 := [unit-resolution #646 #2138 #2111 #2133]: #632
-#2140 := [unit-resolution #1908 #2139 #1928 #694 #1924 #720 #1684 #746 #1468 #776 #2115 #824 #2112 #850 #672]: #897
-#2141 := [th-lemma #2140 #2135 #1742]: false
-#2142 := [lemma #2141]: #288
-#2143 := [unit-resolution #1069 #2142]: #1039
-#2144 := [unit-resolution #1272 #2143]: #1033
-#2145 := [hypothesis]: #1150
-#2146 := [unit-resolution #1308 #2145]: #1152
-#2147 := [unit-resolution #1183 #2146]: #430
-#2148 := [unit-resolution #1184 #2147]: #1165
-#2149 := [unit-resolution #1314 #2148]: #1160
-#2150 := [unit-resolution #1761 #2147]: #1109
-#2151 := [unit-resolution #1735 #2150]: #382
-#2152 := [unit-resolution #1960 #2151 #1870]: #1123
-#2153 := [unit-resolution #1988 #2152 #2149 #2033 #2144]: #509
-#2154 := (or #1149 #1147)
-#2155 := [th-lemma]: #2154
-#2156 := [unit-resolution #2155 #2145]: #1149
-#2157 := [unit-resolution #1894 #2147]: #1200
-#2158 := [unit-resolution #2061 #2149 #2015 #1870 #2157 #2151]: #1086
-#2159 := [unit-resolution #1290 #2158]: #1088
-#2160 := [unit-resolution #1108 #2159]: #335
-#2161 := [unit-resolution #1107 #2160]: #1077
-#2162 := [unit-resolution #1284 #2161]: #1071
-#2163 := [unit-resolution #1971 #2162 #2149 #2152 #2156 #2144]: #147
-#2164 := [unit-resolution #955 #2163]: #925
-#2165 := [unit-resolution #1236 #2164]: #919
-#2166 := [unit-resolution #1316 #2148]: #1161
-#2167 := (or #100 #923 #1371 #1357 #1523 #998 #1036 #383 #429 #1343 #1113 #973 #1373 #1074 #1358)
-#2168 := [th-lemma]: #2167
-#2169 := [unit-resolution #2168 #2162 #698 #1440 #724 #1684 #746 #2144 #772 #2033 #798 #2151 #1870 #828 #2147]: #100
-#2170 := [unit-resolution #917 #2169]: #887
-#2171 := [unit-resolution #1224 #2170]: #881
-#2172 := [unit-resolution #1992 #2171 #2166 #2150 #2162 #2144 #2165]: #506
-#2173 := (or #195 #1357 #1523 #998 #1036 #383 #429 #1343 #1113)
-#2174 := [th-lemma]: #2173
-#2175 := [unit-resolution #2174 #2151 #746 #2144 #772 #1684 #1870 #828 #2147]: #195
-#2176 := [unit-resolution #994 #2175]: #975
-#2177 := [unit-resolution #1254 #2176]: #970
-#2178 := (or #515 #922 #1074 #1036 #972 #1163 #1112)
-#2179 := [unit-resolution #1622 #694 #720 #1404 #750 #772 #1864 #798 #824 #854 #880]: #2178
-#2180 := [unit-resolution #2179 #2177 #2150 #2162 #2166 #2144 #2165]: #515
-#2181 := [unit-resolution #646 #2180 #2172 #2111 #2153]: false
-#2182 := [lemma #2181]: #1147
-#1805 := [unit-resolution #1302 #1729]: #1122
-#2231 := (or #194 #382)
-#2183 := (or #1150 #429 #1163)
-#2184 := [th-lemma]: #2183
-#2185 := [unit-resolution #2184 #1333 #2182]: #1163
-#2186 := [unit-resolution #1316 #2185 #1334]: false
-#2187 := [lemma #2186]: #429
-#2196 := [unit-resolution #1183 #2187]: #1153
-#2197 := [unit-resolution #1310 #2196]: #1149
-#1817 := [unit-resolution #1304 #1729]: #1123
-#2217 := [unit-resolution #1804 #1535 #2182 #1817 #2197 #1805]: #147
-#2218 := [unit-resolution #955 #2217]: #925
-#2219 := [unit-resolution #1236 #2218]: #919
-#2210 := [unit-resolution #1976 #2197 #2187]: #1161
-#2220 := (or #509 #1124 #935 #1150 #972)
-#2221 := [unit-resolution #1767 #698 #672 #720 #1703 #750 #1459 #776 #1447 #802 #824 #850 #1742]: #2220
-#2222 := [unit-resolution #2221 #1620 #2069 #1805 #2182]: #509
-#2223 := (or #515 #922 #1163 #972 #1124)
-#2224 := [unit-resolution #1707 #720 #1703 #750 #1459 #776 #1447 #802 #694 #824 #854 #880 #1864]: #2223
-#2225 := [unit-resolution #2224 #2219 #1805 #1620 #2210]: #515
-#2226 := [unit-resolution #646 #2225 #2111 #2222]: #631
-#2211 := (or #506 #884 #922 #1163 #1124)
-#2212 := [unit-resolution #1724 #668 #694 #1703 #750 #1459 #776 #824 #854]: #2211
-#2227 := [unit-resolution #2212 #2226 #1805 #2210 #2219]: #884
-#2228 := [unit-resolution #1224 #2227]: #886
-#2229 := [unit-resolution #917 #2228]: #101
-#2230 := [th-lemma #1620 #720 #1459 #776 #1447 #802 #2033 #2229 #698 #1428 #2217]: false
-#2232 := [lemma #2230]: #2231
-#2242 := [unit-resolution #2232 #1428]: #194
-#2243 := [unit-resolution #993 #2242]: #963
-#2244 := [unit-resolution #1248 #2243]: #957
-#2193 := (or #509 #1124 #1036 #935 #1150 #960 #1087)
-#1814 := (or #509 #885 #1522 #1523 #1365 #1489 #998 #1124 #1371 #1036 #1357 #935 #1150 #1509 #1350 #960 #1087)
-#1815 := [th-lemma]: #1814
-#2194 := [unit-resolution #1815 #698 #720 #1684 #746 #672 #772 #802 #824 #850 #1742]: #2193
-#2245 := [unit-resolution #2194 #2244 #2069 #2144 #2045 #1805 #2182]: #509
-#2205 := (or #100 #935 #1036 #382 #960 #1087)
-#1834 := (or #100 #1371 #935 #1523 #1036 #1357 #998 #1509 #382 #1350 #960 #1087)
-#1835 := [th-lemma]: #1834
-#2206 := [unit-resolution #1835 #698 #720 #1684 #746 #772 #802]: #2205
-#2246 := [unit-resolution #2206 #2244 #2045 #2069 #2144 #1428]: #100
-#2247 := [unit-resolution #917 #2246]: #887
-#2248 := [unit-resolution #1224 #2247]: #881
-#2215 := (or #335 #382)
-#2188 := (or #335 #194)
-#2189 := [unit-resolution #1777 #750 #1459 #776 #1703]: #2188
-#2190 := [unit-resolution #2189 #1422]: #194
-#2191 := [unit-resolution #993 #2190]: #963
-#2192 := [unit-resolution #1248 #2191]: #957
-#2195 := [unit-resolution #2194 #2192 #2069 #2144 #2045 #1805 #2182]: #509
-#2198 := [unit-resolution #1250 #2191]: #959
-#1840 := (or #335 #934 #1151 #961 #935 #960 #1150 #382)
-#1807 := [unit-resolution #1292 #1806]: #1085
-#1808 := [hypothesis]: #933
-#1809 := (or #288 #382 #1350 #335 #1087)
-#1810 := [th-lemma]: #1809
-#1811 := [unit-resolution #1810 #1422 #1807 #802 #1428]: #288
-#1812 := [unit-resolution #1069 #1811]: #1039
-#1813 := [unit-resolution #1272 #1812]: #1033
-#1816 := [unit-resolution #1815 #1813 #1808 #698 #1536 #720 #1684 #746 #672 #772 #1807 #802 #1805 #824 #1540 #850 #1742]: #509
-#1818 := (or #476 #1337 #1343 #1125 #1151 #335 #382)
-#1819 := [th-lemma]: #1818
-#1820 := [unit-resolution #1819 #1422 #1817 #828 #1774 #854 #1428]: #476
-#1821 := [unit-resolution #1221 #1820]: #1191
-#1822 := [unit-resolution #1320 #1821]: #1185
-#1825 := [unit-resolution #1824 #1813 #1536 #720 #1684 #746 #698 #772 #1807 #802 #1540 #850 #1822 #876 #1808]: #516
-#1826 := [hypothesis]: #932
-#1827 := [unit-resolution #1322 #1821]: #1187
-#1830 := (or #515 #1511 #1337 #1409 #1037 #1189 #1510 #934 #1373 #1358 #1151 #961 #1364 #999 #1086)
-#1831 := [th-lemma]: #1830
-#1832 := [unit-resolution #1831 #1829 #1828 #724 #1703 #750 #1459 #776 #694 #798 #1774 #854 #1827 #880 #1826]: #515
-#1833 := [unit-resolution #646 #1832 #1825 #1816]: #631
-#1836 := [unit-resolution #1835 #1813 #698 #1536 #720 #1684 #746 #1808 #772 #1807 #802 #1428]: #100
-#1837 := [unit-resolution #917 #1836]: #887
-#1838 := [unit-resolution #1224 #1837]: #881
-#1839 := [th-lemma #1838 #668 #750 #828 #854 #1703 #1817 #694 #1459 #776 #1826 #1774 #724 #798 #1828 #1829 #1833]: false
-#1841 := [lemma #1839]: #1840
-#2199 := [unit-resolution #1841 #2198 #2069 #1422 #2197 #2192 #2182 #1428]: #934
-#2200 := [unit-resolution #1242 #2199]: #936
-#2201 := [unit-resolution #956 #2200]: #147
-#2202 := [unit-resolution #955 #2201]: #925
-#2203 := [unit-resolution #1236 #2202]: #919
-#2204 := [unit-resolution #2118 #2203 #1829 #720 #1468 #776 #694 #798 #2197 #854 #1864 #880 #2192]: #515
-#2207 := [unit-resolution #2206 #2192 #2045 #2069 #2144 #1428]: #100
-#2208 := [unit-resolution #917 #2207]: #887
-#2209 := [unit-resolution #1224 #2208]: #881
-#2213 := [unit-resolution #2212 #2203 #1805 #2210 #2209]: #506
-#2214 := [unit-resolution #646 #2213 #2204 #2111 #2195]: false
-#2216 := [lemma #2214]: #2215
-#2249 := [unit-resolution #2216 #1428]: #335
-#2250 := [unit-resolution #1107 #2249]: #1077
-#2251 := [unit-resolution #1284 #2250]: #1071
-#2252 := (or #1084 #1074 #1357 #1523 #998 #1036 #195)
-#2253 := [th-lemma]: #2252
-#2254 := [unit-resolution #2253 #2251 #746 #2144 #772 #1684 #2242]: #1084
-#2255 := [unit-resolution #1250 #2243]: #959
-#2240 := (or #934 #632 #884 #1074 #1125 #961 #1086)
-#2233 := (or #515 #934 #1151 #961 #1086)
-#2234 := [unit-resolution #1831 #1864 #724 #1703 #750 #1459 #776 #694 #798 #854 #880]: #2233
-#2235 := [unit-resolution #2234 #1826 #2197 #1828 #2054]: #515
-#2236 := (or #506 #884 #1125 #1036 #934 #1151 #1074)
-#2237 := [unit-resolution #1788 #694 #1440 #724 #1684 #746 #668 #772 #798 #828 #854]: #2236
-#2238 := [unit-resolution #2237 #1826 #1636 #1638 #1775 #2197 #2144]: #506
-#2239 := [unit-resolution #646 #2238 #2235 #2111 #1628]: false
-#2241 := [lemma #2239]: #2240
-#2256 := [unit-resolution #2241 #2245 #2248 #2251 #1817 #2255 #2254]: #934
-#2257 := [unit-resolution #1242 #2256]: #936
-#2258 := [unit-resolution #956 #2257]: #147
-#2259 := [unit-resolution #955 #2258]: #925
-#2260 := [unit-resolution #1236 #2259]: #919
-#2261 := [unit-resolution #2212 #2260 #1805 #2210 #2248]: #506
-#2262 := [unit-resolution #2118 #2260 #2254 #720 #1468 #776 #694 #798 #2197 #854 #1864 #880 #2244]: #515
-#2263 := [unit-resolution #646 #2262 #2261 #2111 #2245]: false
-#2264 := [lemma #2263]: #382
-#2265 := [unit-resolution #1145 #2264]: #1115
-#2266 := [unit-resolution #1296 #2265]: #1109
-#2267 := [unit-resolution #2189 #1535]: #335
-#2268 := [unit-resolution #1107 #2267]: #1077
-#2269 := [unit-resolution #1284 #2268]: #1071
-#2270 := [unit-resolution #1966 #2269 #2142 #2266 #2182]: #1160
-#2271 := (or #1008 #998 #1036 #1357 #1074 #1358 #383)
-#2272 := [th-lemma]: #2271
-#2273 := [unit-resolution #2272 #2269 #2144 #772 #1684 #798 #2264]: #1008
-#2274 := (or #509 #1010 #1113 #923 #1162)
-#2275 := [unit-resolution #1608 #672 #698 #1742 #746 #1459 #776 #1447 #802 #828 #850]: #2274
-#2276 := [unit-resolution #2275 #2273 #1870 #2270 #2033]: #509
-#2277 := [unit-resolution #1960 #2264 #1870]: #1123
-#2278 := [unit-resolution #1971 #2270 #2269 #2277 #2197 #2144]: #147
-#2279 := [unit-resolution #955 #2278]: #925
-#2280 := [unit-resolution #1236 #2279]: #919
-#2281 := (or #1010 #999 #923 #100 #1371 #961 #1373)
-#2282 := [th-lemma]: #2281
-#2283 := [unit-resolution #2282 #2273 #698 #1584 #724 #1703 #2033]: #100
-#2284 := [unit-resolution #917 #2283]: #887
-#2285 := [unit-resolution #1224 #2284]: #881
-#2286 := [unit-resolution #1992 #2285 #2210 #2266 #2269 #2144 #2280]: #506
-#2287 := [unit-resolution #2179 #2280 #2266 #1620 #2210 #2144 #2269]: #515
-#2288 := [unit-resolution #646 #2287 #2286 #2111 #2276]: false
-#2289 := [lemma #2288]: #194
-#2305 := [unit-resolution #2253 #2302 #746 #2144 #772 #1684 #2289]: #1074
-#2306 := [unit-resolution #1284 #2305]: #1076
-#2307 := [unit-resolution #1107 #2306 #2304]: false
-#2308 := [lemma #2307]: #1084
-#2300 := (or #1086 #515)
-#2290 := [hypothesis]: #633
-#2291 := [unit-resolution #993 #2289]: #963
-#2292 := [unit-resolution #1250 #2291]: #959
-#2293 := [unit-resolution #2234 #2054 #2197 #2292 #2290]: #934
-#2294 := [unit-resolution #1242 #2293]: #936
-#2295 := [unit-resolution #1248 #2291]: #957
-#2296 := [unit-resolution #2118 #2054 #2290 #720 #1468 #776 #694 #798 #2197 #854 #1864 #880 #2295]: #922
-#2297 := [unit-resolution #1236 #2296]: #924
-#2298 := [unit-resolution #955 #2297]: #148
-#2299 := [unit-resolution #956 #2298 #2294]: false
-#2301 := [lemma #2299]: #2300
-#1848 := [unit-resolution #2301 #2308]: #515
-#1851 := [hypothesis]: #632
-#1852 := (or #897 #1522 #509 #1523 #998 #1365 #1489 #1150 #1509 #1350 #633 #1372 #1188 #960 #1087 #1112)
-#1853 := [th-lemma]: #1852
-#1846 := [unit-resolution #1853 #1851 #2295 #720 #1684 #746 #2045 #802 #2266 #824 #2182 #850 #2015 #876 #672 #1848]: #897
-#1847 := [unit-resolution #1232 #1846]: #898
-#1854 := [unit-resolution #918 #1847]: #100
-#1855 := (or #509 #1124)
-#1856 := [unit-resolution #2194 #2069 #2144 #2045 #2295 #2182]: #1855
-#2309 := [unit-resolution #1856 #1851]: #1124
-#2310 := [th-lemma #1848 #876 #850 #2182 #2015 #2309 #2266 #1854]: false
-#2311 := [lemma #2310]: #509
-#2312 := (or #631 #632)
-#2313 := [unit-resolution #646 #2111 #1848]: #2312
-#2314 := [unit-resolution #2313 #2311]: #631
-#2315 := (or #884 #633 #1372 #1188 #1125 #1528 #506 #1364 #999 #1343 #1373 #1358 #961 #1086)
-#2316 := [th-lemma]: #2315
-#2317 := [unit-resolution #2316 #668 #2292 #724 #1703 #750 #2308 #798 #2277 #828 #2015 #876 #2314 #1848]: #884
-#2318 := [unit-resolution #1224 #2317]: #886
-#2319 := (or #896 #1528 #506 #1364 #999 #1343 #1337 #1151 #1373 #1358 #634 #1511 #1189 #961 #1086 #1113)
-#2320 := [th-lemma]: #2319
-#2321 := [unit-resolution #2320 #668 #2292 #724 #1703 #750 #2308 #798 #1870 #828 #2197 #854 #1864 #880 #2314 #2111]: #896
-#2322 := [unit-resolution #1230 #2321]: #898
-#2323 := [unit-resolution #918 #2322]: #100
-[unit-resolution #917 #2323 #2318]: false
-unsat
-258b6cd4609a61b7800235c7f356739cfb8996c5 52 0
-#2 := false
-#8 := 1::real
-decl uf_1 :: real
-#4 := uf_1
-#6 := 2::real
-#7 := (* 2::real uf_1)
-#9 := (+ #7 1::real)
-#5 := (+ uf_1 uf_1)
-#10 := (< #5 #9)
-#11 := (or false #10)
-#12 := (or #10 #11)
-#13 := (not #12)
-#64 := (iff #13 false)
-#32 := (+ 1::real #7)
-#35 := (< #7 #32)
-#52 := (not #35)
-#62 := (iff #52 false)
-#1 := true
-#57 := (not true)
-#60 := (iff #57 false)
-#61 := [rewrite]: #60
-#58 := (iff #52 #57)
-#55 := (iff #35 true)
-#56 := [rewrite]: #55
-#59 := [monotonicity #56]: #58
-#63 := [trans #59 #61]: #62
-#53 := (iff #13 #52)
-#50 := (iff #12 #35)
-#45 := (or #35 #35)
-#48 := (iff #45 #35)
-#49 := [rewrite]: #48
-#46 := (iff #12 #45)
-#43 := (iff #11 #35)
-#38 := (or false #35)
-#41 := (iff #38 #35)
-#42 := [rewrite]: #41
-#39 := (iff #11 #38)
-#36 := (iff #10 #35)
-#33 := (= #9 #32)
-#34 := [rewrite]: #33
-#30 := (= #5 #7)
-#31 := [rewrite]: #30
-#37 := [monotonicity #31 #34]: #36
-#40 := [monotonicity #37]: #39
-#44 := [trans #40 #42]: #43
-#47 := [monotonicity #37 #44]: #46
-#51 := [trans #47 #49]: #50
-#54 := [monotonicity #51]: #53
-#65 := [trans #54 #63]: #64
-#29 := [asserted]: #13
-[mp #29 #65]: false
-unsat
-3d1d0473f97c11d6c4d10f6e0313b2e2f4aac879 59 0
-#2 := false
-#55 := 0::int
-#7 := 2::int
-decl uf_1 :: int
-#4 := uf_1
-#8 := (mod uf_1 2::int)
-#58 := (>= #8 0::int)
-#61 := (not #58)
-#5 := 1::int
-#9 := (* 2::int #8)
-#10 := (+ #9 1::int)
-#11 := (+ uf_1 #10)
-#6 := (+ uf_1 1::int)
-#12 := (<= #6 #11)
-#13 := (not #12)
-#66 := (iff #13 #61)
-#39 := (+ uf_1 #9)
-#40 := (+ 1::int #39)
-#30 := (+ 1::int uf_1)
-#45 := (<= #30 #40)
-#48 := (not #45)
-#64 := (iff #48 #61)
-#56 := (>= #9 0::int)
-#51 := (not #56)
-#62 := (iff #51 #61)
-#59 := (iff #56 #58)
-#60 := [rewrite]: #59
-#63 := [monotonicity #60]: #62
-#52 := (iff #48 #51)
-#53 := (iff #45 #56)
-#54 := [rewrite]: #53
-#57 := [monotonicity #54]: #52
-#65 := [trans #57 #63]: #64
-#49 := (iff #13 #48)
-#46 := (iff #12 #45)
-#43 := (= #11 #40)
-#33 := (+ 1::int #9)
-#36 := (+ uf_1 #33)
-#41 := (= #36 #40)
-#42 := [rewrite]: #41
-#37 := (= #11 #36)
-#34 := (= #10 #33)
-#35 := [rewrite]: #34
-#38 := [monotonicity #35]: #37
-#44 := [trans #38 #42]: #43
-#31 := (= #6 #30)
-#32 := [rewrite]: #31
-#47 := [monotonicity #32 #44]: #46
-#50 := [monotonicity #47]: #49
-#67 := [trans #50 #65]: #66
-#29 := [asserted]: #13
-#68 := [mp #29 #67]: #61
-#1 := true
-#28 := [true-axiom]: true
-#142 := (or false #58)
-#143 := [th-lemma]: #142
-#144 := [unit-resolution #143 #28]: #58
-[unit-resolution #144 #68]: false
-unsat
-f768cbe713eb8031e45b1a78d0f49a07f5398eb8 54 0
-#2 := false
-#5 := 2::int
-decl uf_1 :: int
-#4 := uf_1
-#6 := (mod uf_1 2::int)
-#55 := (>= #6 2::int)
-#9 := 3::int
-#10 := (+ uf_1 3::int)
-#7 := (+ #6 #6)
-#8 := (+ uf_1 #7)
-#11 := (< #8 #10)
-#12 := (not #11)
-#60 := (iff #12 #55)
-#35 := (+ 3::int uf_1)
-#29 := (* 2::int #6)
-#32 := (+ uf_1 #29)
-#38 := (< #32 #35)
-#41 := (not #38)
-#58 := (iff #41 #55)
-#48 := (>= #29 3::int)
-#56 := (iff #48 #55)
-#57 := [rewrite]: #56
-#53 := (iff #41 #48)
-#46 := (not #48)
-#45 := (not #46)
-#51 := (iff #45 #48)
-#52 := [rewrite]: #51
-#49 := (iff #41 #45)
-#47 := (iff #38 #46)
-#44 := [rewrite]: #47
-#50 := [monotonicity #44]: #49
-#54 := [trans #50 #52]: #53
-#59 := [trans #54 #57]: #58
-#42 := (iff #12 #41)
-#39 := (iff #11 #38)
-#36 := (= #10 #35)
-#37 := [rewrite]: #36
-#33 := (= #8 #32)
-#30 := (= #7 #29)
-#31 := [rewrite]: #30
-#34 := [monotonicity #31]: #33
-#40 := [monotonicity #34 #37]: #39
-#43 := [monotonicity #40]: #42
-#61 := [trans #43 #59]: #60
-#28 := [asserted]: #12
-#62 := [mp #28 #61]: #55
-#127 := (not #55)
-#1 := true
-#27 := [true-axiom]: true
-#137 := (or false #127)
-#138 := [th-lemma]: #137
-#139 := [unit-resolution #138 #27]: #127
-[unit-resolution #139 #62]: false
-unsat
-2c2bcacfbe018175dd39ce04dd5cbe02c800a0dd 118 0
-#2 := false
-#5 := 0::real
-decl uf_1 :: real
-#4 := uf_1
-#94 := (<= uf_1 0::real)
-#17 := 2::real
-#40 := (* 2::real uf_1)
-#102 := (<= #40 0::real)
-#103 := (>= #40 0::real)
-#105 := (not #103)
-#104 := (not #102)
-#106 := (or #104 #105)
-#107 := (not #106)
-#88 := (= #40 0::real)
-#108 := (iff #88 #107)
-#109 := [rewrite]: #108
-#16 := 4::real
-#11 := (- uf_1)
-#10 := (< uf_1 0::real)
-#12 := (ite #10 #11 uf_1)
-#9 := 1::real
-#13 := (< 1::real #12)
-#14 := (not #13)
-#15 := (or #13 #14)
-#18 := (ite #15 4::real 2::real)
-#19 := (* #18 uf_1)
-#8 := (+ uf_1 uf_1)
-#20 := (= #8 #19)
-#21 := (not #20)
-#22 := (not #21)
-#89 := (iff #22 #88)
-#70 := (* 4::real uf_1)
-#73 := (= #40 #70)
-#86 := (iff #73 #88)
-#87 := [rewrite]: #86
-#84 := (iff #22 #73)
-#76 := (not #73)
-#79 := (not #76)
-#82 := (iff #79 #73)
-#83 := [rewrite]: #82
-#80 := (iff #22 #79)
-#77 := (iff #21 #76)
-#74 := (iff #20 #73)
-#71 := (= #19 #70)
-#68 := (= #18 4::real)
-#1 := true
-#63 := (ite true 4::real 2::real)
-#66 := (= #63 4::real)
-#67 := [rewrite]: #66
-#64 := (= #18 #63)
-#61 := (iff #15 true)
-#43 := -1::real
-#44 := (* -1::real uf_1)
-#47 := (ite #10 #44 uf_1)
-#50 := (< 1::real #47)
-#53 := (not #50)
-#56 := (or #50 #53)
-#59 := (iff #56 true)
-#60 := [rewrite]: #59
-#57 := (iff #15 #56)
-#54 := (iff #14 #53)
-#51 := (iff #13 #50)
-#48 := (= #12 #47)
-#45 := (= #11 #44)
-#46 := [rewrite]: #45
-#49 := [monotonicity #46]: #48
-#52 := [monotonicity #49]: #51
-#55 := [monotonicity #52]: #54
-#58 := [monotonicity #52 #55]: #57
-#62 := [trans #58 #60]: #61
-#65 := [monotonicity #62]: #64
-#69 := [trans #65 #67]: #68
-#72 := [monotonicity #69]: #71
-#41 := (= #8 #40)
-#42 := [rewrite]: #41
-#75 := [monotonicity #42 #72]: #74
-#78 := [monotonicity #75]: #77
-#81 := [monotonicity #78]: #80
-#85 := [trans #81 #83]: #84
-#90 := [trans #85 #87]: #89
-#39 := [asserted]: #22
-#91 := [mp #39 #90]: #88
-#110 := [mp #91 #109]: #107
-#111 := [not-or-elim #110]: #102
-#127 := (or #94 #104)
-#128 := [th-lemma]: #127
-#129 := [unit-resolution #128 #111]: #94
-#92 := (>= uf_1 0::real)
-#112 := [not-or-elim #110]: #103
-#130 := (or #92 #105)
-#131 := [th-lemma]: #130
-#132 := [unit-resolution #131 #112]: #92
-#114 := (not #94)
-#113 := (not #92)
-#115 := (or #113 #114)
-#95 := (and #92 #94)
-#98 := (not #95)
-#124 := (iff #98 #115)
-#116 := (not #115)
-#119 := (not #116)
-#122 := (iff #119 #115)
-#123 := [rewrite]: #122
-#120 := (iff #98 #119)
-#117 := (iff #95 #116)
-#118 := [rewrite]: #117
-#121 := [monotonicity #118]: #120
-#125 := [trans #121 #123]: #124
-#6 := (= uf_1 0::real)
-#7 := (not #6)
-#99 := (iff #7 #98)
-#96 := (iff #6 #95)
-#97 := [rewrite]: #96
-#100 := [monotonicity #97]: #99
-#38 := [asserted]: #7
-#101 := [mp #38 #100]: #98
-#126 := [mp #101 #125]: #115
-[unit-resolution #126 #132 #129]: false
-unsat
-8bded5c2f0cd48cce9a86100cc4c6ce26ec88a2e 208 0
-#2 := false
-#9 := 0::int
-#11 := 4::int
-decl uf_1 :: int
-#4 := uf_1
-#189 := (div uf_1 4::int)
-#210 := -4::int
-#211 := (* -4::int #189)
-#12 := (mod uf_1 4::int)
-#134 := -1::int
-#209 := (* -1::int #12)
-#212 := (+ #209 #211)
-#213 := (+ uf_1 #212)
-#214 := (<= #213 0::int)
-#215 := (not #214)
-#208 := (>= #213 0::int)
-#207 := (not #208)
-#216 := (or #207 #215)
-#217 := (not #216)
-#1 := true
-#36 := [true-axiom]: true
-#393 := (or false #217)
-#394 := [th-lemma]: #393
-#395 := [unit-resolution #394 #36]: #217
-#224 := (or #216 #214)
-#225 := [def-axiom]: #224
-#396 := [unit-resolution #225 #395]: #214
-#222 := (or #216 #208)
-#223 := [def-axiom]: #222
-#397 := [unit-resolution #223 #395]: #208
-#250 := (>= #12 4::int)
-#251 := (not #250)
-#398 := (or false #251)
-#399 := [th-lemma]: #398
-#400 := [unit-resolution #399 #36]: #251
-#13 := 3::int
-#90 := (>= #12 3::int)
-#92 := (not #90)
-#89 := (<= #12 3::int)
-#91 := (not #89)
-#93 := (or #91 #92)
-#94 := (not #93)
-#14 := (= #12 3::int)
-#95 := (iff #14 #94)
-#96 := [rewrite]: #95
-#38 := [asserted]: #14
-#97 := [mp #38 #96]: #94
-#99 := [not-or-elim #97]: #90
-#7 := 2::int
-#261 := (div uf_1 2::int)
-#140 := -2::int
-#276 := (* -2::int #261)
-#15 := (mod uf_1 2::int)
-#275 := (* -1::int #15)
-#277 := (+ #275 #276)
-#278 := (+ uf_1 #277)
-#279 := (<= #278 0::int)
-#280 := (not #279)
-#274 := (>= #278 0::int)
-#273 := (not #274)
-#281 := (or #273 #280)
-#282 := (not #281)
-#408 := (or false #282)
-#409 := [th-lemma]: #408
-#410 := [unit-resolution #409 #36]: #282
-#289 := (or #281 #279)
-#290 := [def-axiom]: #289
-#411 := [unit-resolution #290 #410]: #279
-#287 := (or #281 #274)
-#288 := [def-axiom]: #287
-#412 := [unit-resolution #288 #410]: #274
-#16 := 1::int
-#55 := (>= #15 1::int)
-#100 := (not #55)
-decl uf_2 :: int
-#5 := uf_2
-#18 := (mod uf_2 2::int)
-#61 := (<= #18 1::int)
-#102 := (not #61)
-#375 := [hypothesis]: #102
-#358 := (>= #18 2::int)
-#359 := (not #358)
-#403 := (or false #359)
-#404 := [th-lemma]: #403
-#405 := [unit-resolution #404 #36]: #359
-#406 := [th-lemma #405 #375]: false
-#407 := [lemma #406]: #61
-#413 := (or #100 #102)
-#62 := (>= #18 1::int)
-#315 := (div uf_2 2::int)
-#330 := (* -2::int #315)
-#329 := (* -1::int #18)
-#331 := (+ #329 #330)
-#332 := (+ uf_2 #331)
-#333 := (<= #332 0::int)
-#334 := (not #333)
-#328 := (>= #332 0::int)
-#327 := (not #328)
-#335 := (or #327 #334)
-#336 := (not #335)
-#376 := (or false #336)
-#377 := [th-lemma]: #376
-#378 := [unit-resolution #377 #36]: #336
-#343 := (or #335 #333)
-#344 := [def-axiom]: #343
-#379 := [unit-resolution #344 #378]: #333
-#341 := (or #335 #328)
-#342 := [def-axiom]: #341
-#380 := [unit-resolution #342 #378]: #328
-#103 := (not #62)
-#381 := [hypothesis]: #103
-#352 := (>= #18 0::int)
-#382 := (or false #352)
-#383 := [th-lemma]: #382
-#384 := [unit-resolution #383 #36]: #352
-#6 := (+ uf_1 uf_2)
-#116 := (div #6 2::int)
-#141 := (* -2::int #116)
-#8 := (mod #6 2::int)
-#139 := (* -1::int #8)
-#142 := (+ #139 #141)
-#143 := (+ uf_2 #142)
-#144 := (+ uf_1 #143)
-#138 := (<= #144 0::int)
-#136 := (not #138)
-#137 := (>= #144 0::int)
-#135 := (not #137)
-#145 := (or #135 #136)
-#146 := (not #145)
-#385 := (or false #146)
-#386 := [th-lemma]: #385
-#387 := [unit-resolution #386 #36]: #146
-#153 := (or #145 #138)
-#154 := [def-axiom]: #153
-#388 := [unit-resolution #154 #387]: #138
-#151 := (or #145 #137)
-#152 := [def-axiom]: #151
-#389 := [unit-resolution #152 #387]: #137
-#78 := (<= #8 0::int)
-#79 := (>= #8 0::int)
-#81 := (not #79)
-#80 := (not #78)
-#82 := (or #80 #81)
-#83 := (not #82)
-#10 := (= #8 0::int)
-#84 := (iff #10 #83)
-#85 := [rewrite]: #84
-#37 := [asserted]: #10
-#86 := [mp #37 #85]: #83
-#87 := [not-or-elim #86]: #78
-#390 := (or false #79)
-#391 := [th-lemma]: #390
-#392 := [unit-resolution #391 #36]: #79
-#401 := [th-lemma #99 #400 #397 #396 #392 #87 #389 #388 #384 #381 #380 #379]: false
-#402 := [lemma #401]: #62
-#57 := (<= #15 1::int)
-#101 := (not #57)
-#369 := [hypothesis]: #101
-#304 := (>= #15 2::int)
-#305 := (not #304)
-#370 := (or false #305)
-#371 := [th-lemma]: #370
-#372 := [unit-resolution #371 #36]: #305
-#373 := [th-lemma #372 #369]: false
-#374 := [lemma #373]: #57
-#104 := (or #100 #101 #102 #103)
-#69 := (and #55 #57 #61 #62)
-#74 := (not #69)
-#113 := (iff #74 #104)
-#105 := (not #104)
-#108 := (not #105)
-#111 := (iff #108 #104)
-#112 := [rewrite]: #111
-#109 := (iff #74 #108)
-#106 := (iff #69 #105)
-#107 := [rewrite]: #106
-#110 := [monotonicity #107]: #109
-#114 := [trans #110 #112]: #113
-#19 := (= #18 1::int)
-#17 := (= #15 1::int)
-#20 := (and #17 #19)
-#21 := (not #20)
-#75 := (iff #21 #74)
-#72 := (iff #20 #69)
-#63 := (and #61 #62)
-#58 := (and #55 #57)
-#66 := (and #58 #63)
-#70 := (iff #66 #69)
-#71 := [rewrite]: #70
-#67 := (iff #20 #66)
-#64 := (iff #19 #63)
-#65 := [rewrite]: #64
-#59 := (iff #17 #58)
-#60 := [rewrite]: #59
-#68 := [monotonicity #60 #65]: #67
-#73 := [trans #68 #71]: #72
-#76 := [monotonicity #73]: #75
-#39 := [asserted]: #21
-#77 := [mp #39 #76]: #74
-#115 := [mp #77 #114]: #104
-#414 := [unit-resolution #115 #374 #402]: #413
-#415 := [unit-resolution #414 #407]: #100
-#298 := (>= #15 0::int)
-#416 := (or false #298)
-#417 := [th-lemma]: #416
-#418 := [unit-resolution #417 #36]: #298
-[th-lemma #418 #415 #412 #411 #99 #400 #397 #396]: false
-unsat
-7beaddc803d2c23197634dc63d56d564292d85fe 24 0
-#2 := false
-#4 := (exists (vars (?x1 int)) false)
-#5 := (not #4)
-#6 := (not #5)
-#37 := (iff #6 false)
-#1 := true
-#32 := (not true)
-#35 := (iff #32 false)
-#36 := [rewrite]: #35
-#33 := (iff #6 #32)
-#30 := (iff #5 true)
-#25 := (not false)
-#28 := (iff #25 true)
-#29 := [rewrite]: #28
-#26 := (iff #5 #25)
-#23 := (iff #4 false)
-#24 := [elim-unused]: #23
-#27 := [monotonicity #24]: #26
-#31 := [trans #27 #29]: #30
-#34 := [monotonicity #31]: #33
-#38 := [trans #34 #36]: #37
-#22 := [asserted]: #6
-[mp #22 #38]: false
-unsat
-723fcd1ecb9fa59a7e0fede642f23063fb499818 24 0
-#2 := false
-#4 := (exists (vars (?x1 real)) false)
-#5 := (not #4)
-#6 := (not #5)
-#37 := (iff #6 false)
-#1 := true
-#32 := (not true)
-#35 := (iff #32 false)
-#36 := [rewrite]: #35
-#33 := (iff #6 #32)
-#30 := (iff #5 true)
-#25 := (not false)
-#28 := (iff #25 true)
-#29 := [rewrite]: #28
-#26 := (iff #5 #25)
-#23 := (iff #4 false)
-#24 := [elim-unused]: #23
-#27 := [monotonicity #24]: #26
-#31 := [trans #27 #29]: #30
-#34 := [monotonicity #31]: #33
-#38 := [trans #34 #36]: #37
-#22 := [asserted]: #6
-[mp #22 #38]: false
-unsat
-a72d0e977596e1fac0cccee600f0bf9d29ed71aa 1 0
-unsat
-70141a690f46561f859d3deed80b9611816f9f81 1 0
-unsat
-41b6ddffa2c7efc9285d0e0a65d74c4325ef6ddb 1 0
-unsat
-a08fcdd29520930b0a940df57c3d8266dbefd10f 73 0
-#2 := false
-#5 := 0::int
-#8 := 1::int
-#143 := (= 1::int 0::int)
-#145 := (iff #143 false)
-#146 := [rewrite]: #145
-decl ?x1!1 :: int
-#47 := ?x1!1
-#51 := (= ?x1!1 0::int)
-decl ?x2!0 :: int
-#46 := ?x2!0
-#50 := (= ?x2!0 1::int)
-#63 := (and #50 #51)
-#69 := (= ?x2!0 ?x1!1)
-#72 := (not #69)
-#66 := (not #63)
-#75 := (or #66 #72)
-#78 := (not #75)
-#48 := (= ?x1!1 ?x2!0)
-#49 := (not #48)
-#52 := (and #51 #50)
-#53 := (not #52)
-#54 := (or #53 #49)
-#55 := (not #54)
-#79 := (iff #55 #78)
-#76 := (iff #54 #75)
-#73 := (iff #49 #72)
-#70 := (iff #48 #69)
-#71 := [rewrite]: #70
-#74 := [monotonicity #71]: #73
-#67 := (iff #53 #66)
-#64 := (iff #52 #63)
-#65 := [rewrite]: #64
-#68 := [monotonicity #65]: #67
-#77 := [monotonicity #68 #74]: #76
-#80 := [monotonicity #77]: #79
-#7 := (:var 0 int)
-#4 := (:var 1 int)
-#11 := (= #4 #7)
-#12 := (not #11)
-#9 := (= #7 1::int)
-#6 := (= #4 0::int)
-#10 := (and #6 #9)
-#32 := (not #10)
-#33 := (or #32 #12)
-#36 := (forall (vars (?x1 int) (?x2 int)) #33)
-#39 := (not #36)
-#56 := (~ #39 #55)
-#57 := [sk]: #56
-#13 := (implies #10 #12)
-#14 := (forall (vars (?x1 int) (?x2 int)) #13)
-#15 := (not #14)
-#40 := (iff #15 #39)
-#37 := (iff #14 #36)
-#34 := (iff #13 #33)
-#35 := [rewrite]: #34
-#38 := [quant-intro #35]: #37
-#41 := [monotonicity #38]: #40
-#31 := [asserted]: #15
-#44 := [mp #31 #41]: #39
-#60 := [mp~ #44 #57]: #55
-#61 := [mp #60 #80]: #78
-#62 := [not-or-elim #61]: #63
-#82 := [and-elim #62]: #51
-#141 := (= 1::int ?x1!1)
-#83 := [not-or-elim #61]: #69
-#139 := (= 1::int ?x2!0)
-#81 := [and-elim #62]: #50
-#140 := [symm #81]: #139
-#142 := [trans #140 #83]: #141
-#144 := [trans #142 #82]: #143
-[mp #144 #146]: false
-unsat
-470993954e986ab72716000fd7da9fa600b05225 82 0
-#2 := false
-#5 := (:var 0 int)
-#7 := 0::int
-#9 := (<= 0::int #5)
-#8 := (< #5 0::int)
-#10 := (or #8 #9)
-#4 := (:var 1 int)
-#6 := (< #4 #5)
-#11 := (implies #6 #10)
-#12 := (forall (vars (?x2 int)) #11)
-#13 := (exists (vars (?x1 int)) #12)
-#14 := (not #13)
-#95 := (iff #14 false)
-#31 := (not #6)
-#32 := (or #31 #10)
-#35 := (forall (vars (?x2 int)) #32)
-#38 := (exists (vars (?x1 int)) #35)
-#41 := (not #38)
-#93 := (iff #41 false)
-#1 := true
-#88 := (not true)
-#91 := (iff #88 false)
-#92 := [rewrite]: #91
-#89 := (iff #41 #88)
-#86 := (iff #38 true)
-#81 := (exists (vars (?x1 int)) true)
-#84 := (iff #81 true)
-#85 := [elim-unused]: #84
-#82 := (iff #38 #81)
-#79 := (iff #35 true)
-#74 := (forall (vars (?x2 int)) true)
-#77 := (iff #74 true)
-#78 := [elim-unused]: #77
-#75 := (iff #35 #74)
-#72 := (iff #32 true)
-#46 := (>= #5 0::int)
-#44 := (not #46)
-#64 := (or #44 #46)
-#50 := -1::int
-#53 := (* -1::int #5)
-#54 := (+ #4 #53)
-#52 := (>= #54 0::int)
-#67 := (or #52 #64)
-#70 := (iff #67 true)
-#71 := [rewrite]: #70
-#68 := (iff #32 #67)
-#65 := (iff #10 #64)
-#48 := (iff #9 #46)
-#49 := [rewrite]: #48
-#45 := (iff #8 #44)
-#47 := [rewrite]: #45
-#66 := [monotonicity #47 #49]: #65
-#62 := (iff #31 #52)
-#51 := (not #52)
-#57 := (not #51)
-#60 := (iff #57 #52)
-#61 := [rewrite]: #60
-#58 := (iff #31 #57)
-#55 := (iff #6 #51)
-#56 := [rewrite]: #55
-#59 := [monotonicity #56]: #58
-#63 := [trans #59 #61]: #62
-#69 := [monotonicity #63 #66]: #68
-#73 := [trans #69 #71]: #72
-#76 := [quant-intro #73]: #75
-#80 := [trans #76 #78]: #79
-#83 := [quant-intro #80]: #82
-#87 := [trans #83 #85]: #86
-#90 := [monotonicity #87]: #89
-#94 := [trans #90 #92]: #93
-#42 := (iff #14 #41)
-#39 := (iff #13 #38)
-#36 := (iff #12 #35)
-#33 := (iff #11 #32)
-#34 := [rewrite]: #33
-#37 := [quant-intro #34]: #36
-#40 := [quant-intro #37]: #39
-#43 := [monotonicity #40]: #42
-#96 := [trans #43 #94]: #95
-#30 := [asserted]: #14
-[mp #30 #96]: false
-unsat
-40c93af1a084932780f95bda03b3df7712e01201 78 0
-#2 := false
-#5 := (:var 0 int)
-#7 := 2::int
-#11 := (* 2::int #5)
-#9 := 1::int
-#4 := (:var 1 int)
-#8 := (* 2::int #4)
-#10 := (+ #8 1::int)
-#12 := (< #10 #11)
-#6 := (< #4 #5)
-#13 := (implies #6 #12)
-#14 := (forall (vars (?x1 int) (?x2 int)) #13)
-#15 := (not #14)
-#91 := (iff #15 false)
-#32 := (+ 1::int #8)
-#35 := (< #32 #11)
-#41 := (not #6)
-#42 := (or #41 #35)
-#47 := (forall (vars (?x1 int) (?x2 int)) #42)
-#50 := (not #47)
-#89 := (iff #50 false)
-#1 := true
-#84 := (not true)
-#87 := (iff #84 false)
-#88 := [rewrite]: #87
-#85 := (iff #50 #84)
-#82 := (iff #47 true)
-#77 := (forall (vars (?x1 int) (?x2 int)) true)
-#80 := (iff #77 true)
-#81 := [elim-unused]: #80
-#78 := (iff #47 #77)
-#75 := (iff #42 true)
-#55 := 0::int
-#53 := -1::int
-#57 := (* -1::int #5)
-#58 := (+ #4 #57)
-#56 := (>= #58 0::int)
-#54 := (not #56)
-#69 := (or #56 #54)
-#73 := (iff #69 true)
-#74 := [rewrite]: #73
-#71 := (iff #42 #69)
-#70 := (iff #35 #54)
-#68 := [rewrite]: #70
-#66 := (iff #41 #56)
-#61 := (not #54)
-#64 := (iff #61 #56)
-#65 := [rewrite]: #64
-#62 := (iff #41 #61)
-#59 := (iff #6 #54)
-#60 := [rewrite]: #59
-#63 := [monotonicity #60]: #62
-#67 := [trans #63 #65]: #66
-#72 := [monotonicity #67 #68]: #71
-#76 := [trans #72 #74]: #75
-#79 := [quant-intro #76]: #78
-#83 := [trans #79 #81]: #82
-#86 := [monotonicity #83]: #85
-#90 := [trans #86 #88]: #89
-#51 := (iff #15 #50)
-#48 := (iff #14 #47)
-#45 := (iff #13 #42)
-#38 := (implies #6 #35)
-#43 := (iff #38 #42)
-#44 := [rewrite]: #43
-#39 := (iff #13 #38)
-#36 := (iff #12 #35)
-#33 := (= #10 #32)
-#34 := [rewrite]: #33
-#37 := [monotonicity #34]: #36
-#40 := [monotonicity #37]: #39
-#46 := [trans #40 #44]: #45
-#49 := [quant-intro #46]: #48
-#52 := [monotonicity #49]: #51
-#92 := [trans #52 #90]: #91
-#31 := [asserted]: #15
-[mp #31 #92]: false
-unsat
-26b175ea54cef59293a917c6fb083751b00d312a 61 0
-#2 := false
-#9 := (:var 0 int)
-#4 := 2::int
-#10 := (* 2::int #9)
-#7 := 1::int
-#5 := (:var 1 int)
-#6 := (* 2::int #5)
-#8 := (+ #6 1::int)
-#11 := (= #8 #10)
-#12 := (not #11)
-#13 := (forall (vars (?x1 int) (?x2 int)) #12)
-#14 := (not #13)
-#74 := (iff #14 false)
-#31 := (+ 1::int #6)
-#37 := (= #10 #31)
-#42 := (not #37)
-#45 := (forall (vars (?x1 int) (?x2 int)) #42)
-#48 := (not #45)
-#72 := (iff #48 false)
-#1 := true
-#67 := (not true)
-#70 := (iff #67 false)
-#71 := [rewrite]: #70
-#68 := (iff #48 #67)
-#65 := (iff #45 true)
-#60 := (forall (vars (?x1 int) (?x2 int)) true)
-#63 := (iff #60 true)
-#64 := [elim-unused]: #63
-#61 := (iff #45 #60)
-#58 := (iff #42 true)
-#51 := (not false)
-#56 := (iff #51 true)
-#57 := [rewrite]: #56
-#52 := (iff #42 #51)
-#53 := (iff #37 false)
-#54 := [rewrite]: #53
-#55 := [monotonicity #54]: #52
-#59 := [trans #55 #57]: #58
-#62 := [quant-intro #59]: #61
-#66 := [trans #62 #64]: #65
-#69 := [monotonicity #66]: #68
-#73 := [trans #69 #71]: #72
-#49 := (iff #14 #48)
-#46 := (iff #13 #45)
-#43 := (iff #12 #42)
-#40 := (iff #11 #37)
-#34 := (= #31 #10)
-#38 := (iff #34 #37)
-#39 := [rewrite]: #38
-#35 := (iff #11 #34)
-#32 := (= #8 #31)
-#33 := [rewrite]: #32
-#36 := [monotonicity #33]: #35
-#41 := [trans #36 #39]: #40
-#44 := [monotonicity #41]: #43
-#47 := [quant-intro #44]: #46
-#50 := [monotonicity #47]: #49
-#75 := [trans #50 #73]: #74
-#30 := [asserted]: #14
-[mp #30 #75]: false
-unsat
-74037c10b4f126275ba21e7140b7f1e159b39ed9 111 0
-#2 := false
-#4 := 2::int
-decl ?x1!1 :: int
-#85 := ?x1!1
-decl ?x2!0 :: int
-#84 := ?x2!0
-#101 := (+ ?x2!0 ?x1!1)
-#107 := (>= #101 2::int)
-#113 := (<= #101 2::int)
-#116 := (not #113)
-#110 := (not #107)
-#104 := (= #101 2::int)
-#119 := (or #104 #110 #116)
-#122 := (not #119)
-#86 := (+ ?x1!1 ?x2!0)
-#87 := (<= #86 2::int)
-#88 := (not #87)
-#89 := (>= #86 2::int)
-#90 := (not #89)
-#91 := (= #86 2::int)
-#92 := (or #91 #90 #88)
-#93 := (not #92)
-#123 := (iff #93 #122)
-#120 := (iff #92 #119)
-#117 := (iff #88 #116)
-#114 := (iff #87 #113)
-#102 := (= #86 #101)
-#103 := [rewrite]: #102
-#115 := [monotonicity #103]: #114
-#118 := [monotonicity #115]: #117
-#111 := (iff #90 #110)
-#108 := (iff #89 #107)
-#109 := [monotonicity #103]: #108
-#112 := [monotonicity #109]: #111
-#105 := (iff #91 #104)
-#106 := [monotonicity #103]: #105
-#121 := [monotonicity #106 #112 #118]: #120
-#124 := [monotonicity #121]: #123
-#6 := (:var 0 int)
-#5 := (:var 1 int)
-#7 := (+ #5 #6)
-#56 := (<= #7 2::int)
-#58 := (not #56)
-#54 := (>= #7 2::int)
-#51 := (not #54)
-#9 := (= #7 2::int)
-#67 := (or #9 #51 #58)
-#72 := (forall (vars (?x1 int) (?x2 int)) #67)
-#75 := (not #72)
-#94 := (~ #75 #93)
-#95 := [sk]: #94
-#10 := (< #7 2::int)
-#11 := (or #9 #10)
-#8 := (< 2::int #7)
-#12 := (or #8 #11)
-#13 := (forall (vars (?x1 int) (?x2 int)) #12)
-#14 := (not #13)
-#78 := (iff #14 #75)
-#31 := (= 2::int #7)
-#37 := (or #10 #31)
-#42 := (or #8 #37)
-#45 := (forall (vars (?x1 int) (?x2 int)) #42)
-#48 := (not #45)
-#76 := (iff #48 #75)
-#73 := (iff #45 #72)
-#70 := (iff #42 #67)
-#61 := (or #51 #9)
-#64 := (or #58 #61)
-#68 := (iff #64 #67)
-#69 := [rewrite]: #68
-#65 := (iff #42 #64)
-#62 := (iff #37 #61)
-#55 := (iff #31 #9)
-#57 := [rewrite]: #55
-#53 := (iff #10 #51)
-#52 := [rewrite]: #53
-#63 := [monotonicity #52 #57]: #62
-#59 := (iff #8 #58)
-#60 := [rewrite]: #59
-#66 := [monotonicity #60 #63]: #65
-#71 := [trans #66 #69]: #70
-#74 := [quant-intro #71]: #73
-#77 := [monotonicity #74]: #76
-#49 := (iff #14 #48)
-#46 := (iff #13 #45)
-#43 := (iff #12 #42)
-#40 := (iff #11 #37)
-#34 := (or #31 #10)
-#38 := (iff #34 #37)
-#39 := [rewrite]: #38
-#35 := (iff #11 #34)
-#32 := (iff #9 #31)
-#33 := [rewrite]: #32
-#36 := [monotonicity #33]: #35
-#41 := [trans #36 #39]: #40
-#44 := [monotonicity #41]: #43
-#47 := [quant-intro #44]: #46
-#50 := [monotonicity #47]: #49
-#79 := [trans #50 #77]: #78
-#30 := [asserted]: #14
-#80 := [mp #30 #79]: #75
-#98 := [mp~ #80 #95]: #93
-#99 := [mp #98 #124]: #122
-#126 := [not-or-elim #99]: #107
-#100 := (not #104)
-#125 := [not-or-elim #99]: #100
-#127 := [not-or-elim #99]: #113
-#183 := (or #104 #116 #110)
-#184 := [th-lemma]: #183
-[unit-resolution #184 #127 #125 #126]: false
-unsat
-628c1b88ca8fb09c896ae05059a52dc2f8e25db2 89 0
-#2 := false
-#4 := 0::int
-decl ?x1!0 :: int
-#78 := ?x1!0
-#83 := (<= ?x1!0 0::int)
-#146 := (not #83)
-#155 := [hypothesis]: #83
-#7 := 1::int
-#81 := (>= ?x1!0 1::int)
-#82 := (not #81)
-#156 := (or #82 #146)
-#157 := [th-lemma]: #156
-#158 := [unit-resolution #157 #155]: #82
-#159 := (or #146 #81)
-#49 := -1::int
-#79 := (<= ?x1!0 -1::int)
-#80 := (not #79)
-#84 := (ite #83 #82 #80)
-#85 := (not #84)
-#5 := (:var 0 int)
-#50 := (<= #5 -1::int)
-#51 := (not #50)
-#55 := (>= #5 1::int)
-#54 := (not #55)
-#45 := (<= #5 0::int)
-#61 := (ite #45 #54 #51)
-#66 := (forall (vars (?x1 int)) #61)
-#69 := (not #66)
-#86 := (~ #69 #85)
-#87 := [sk]: #86
-#10 := (< #5 1::int)
-#8 := (+ #5 1::int)
-#9 := (< 0::int #8)
-#6 := (< 0::int #5)
-#11 := (ite #6 #9 #10)
-#12 := (forall (vars (?x1 int)) #11)
-#13 := (not #12)
-#72 := (iff #13 #69)
-#30 := (+ 1::int #5)
-#33 := (< 0::int #30)
-#36 := (ite #6 #33 #10)
-#39 := (forall (vars (?x1 int)) #36)
-#42 := (not #39)
-#70 := (iff #42 #69)
-#67 := (iff #39 #66)
-#64 := (iff #36 #61)
-#46 := (not #45)
-#58 := (ite #46 #51 #54)
-#62 := (iff #58 #61)
-#63 := [rewrite]: #62
-#59 := (iff #36 #58)
-#56 := (iff #10 #54)
-#57 := [rewrite]: #56
-#52 := (iff #33 #51)
-#53 := [rewrite]: #52
-#47 := (iff #6 #46)
-#48 := [rewrite]: #47
-#60 := [monotonicity #48 #53 #57]: #59
-#65 := [trans #60 #63]: #64
-#68 := [quant-intro #65]: #67
-#71 := [monotonicity #68]: #70
-#43 := (iff #13 #42)
-#40 := (iff #12 #39)
-#37 := (iff #11 #36)
-#34 := (iff #9 #33)
-#31 := (= #8 #30)
-#32 := [rewrite]: #31
-#35 := [monotonicity #32]: #34
-#38 := [monotonicity #35]: #37
-#41 := [quant-intro #38]: #40
-#44 := [monotonicity #41]: #43
-#73 := [trans #44 #71]: #72
-#29 := [asserted]: #13
-#74 := [mp #29 #73]: #69
-#90 := [mp~ #74 #87]: #85
-#151 := (or #84 #146 #81)
-#152 := [def-axiom]: #151
-#160 := [unit-resolution #152 #90]: #159
-#161 := [unit-resolution #160 #158 #155]: false
-#162 := [lemma #161]: #146
-#163 := (or #80 #83)
-#164 := [th-lemma]: #163
-#165 := [unit-resolution #164 #162]: #80
-#166 := (or #83 #79)
-#153 := (or #84 #83 #79)
-#154 := [def-axiom]: #153
-#167 := [unit-resolution #154 #90]: #166
-[unit-resolution #167 #165 #162]: false
-unsat
-b7c4f9440c4594c46eee14ce57f17610bb7e2536 84 0
-WARNING: failed to find a pattern for quantifier (quantifier id: k!2)
-#2 := false
-#5 := 0::int
-#4 := (:var 0 int)
-#42 := (<= #4 0::int)
-#43 := (not #42)
-#40 := (>= #4 0::int)
-#38 := (not #40)
-#46 := (or #38 #43)
-#49 := (forall (vars (?x1 int)) #46)
-#182 := (not #49)
-#118 := (<= 0::int 0::int)
-#204 := (not #118)
-#119 := (>= 0::int 0::int)
-#205 := (not #119)
-#206 := (or #205 #204)
-#187 := (or #182 #206)
-#172 := (iff #187 #182)
-#183 := (or #182 false)
-#509 := (iff #183 #182)
-#171 := [rewrite]: #509
-#525 := (iff #187 #183)
-#533 := (iff #206 false)
-#529 := (or false false)
-#532 := (iff #529 false)
-#527 := [rewrite]: #532
-#530 := (iff #206 #529)
-#195 := (iff #204 false)
-#1 := true
-#209 := (not true)
-#207 := (iff #209 false)
-#211 := [rewrite]: #207
-#315 := (iff #204 #209)
-#528 := (iff #118 true)
-#184 := [rewrite]: #528
-#522 := [monotonicity #184]: #315
-#196 := [trans #522 #211]: #195
-#190 := (iff #205 false)
-#137 := (iff #205 #209)
-#197 := (iff #119 true)
-#208 := [rewrite]: #197
-#210 := [monotonicity #208]: #137
-#526 := [trans #210 #211]: #190
-#531 := [monotonicity #526 #196]: #530
-#523 := [trans #531 #527]: #533
-#167 := [monotonicity #523]: #525
-#173 := [trans #167 #171]: #172
-#524 := [quant-inst]: #187
-#174 := [mp #524 #173]: #182
-#60 := (~ #49 #49)
-#58 := (~ #46 #46)
-#59 := [refl]: #58
-#61 := [nnf-pos #59]: #60
-#7 := (< 0::int #4)
-#6 := (< #4 0::int)
-#8 := (or #6 #7)
-#9 := (forall (vars (?x1 int)) #8)
-#10 := (ite #9 false true)
-#11 := (not #10)
-#52 := (iff #11 #49)
-#50 := (iff #9 #49)
-#47 := (iff #8 #46)
-#44 := (iff #7 #43)
-#45 := [rewrite]: #44
-#39 := (iff #6 #38)
-#41 := [rewrite]: #39
-#48 := [monotonicity #41 #45]: #47
-#51 := [quant-intro #48]: #50
-#36 := (iff #11 #9)
-#28 := (not #9)
-#31 := (not #28)
-#34 := (iff #31 #9)
-#35 := [rewrite]: #34
-#32 := (iff #11 #31)
-#29 := (iff #10 #28)
-#30 := [rewrite]: #29
-#33 := [monotonicity #30]: #32
-#37 := [trans #33 #35]: #36
-#53 := [trans #37 #51]: #52
-#27 := [asserted]: #11
-#54 := [mp #27 #53]: #49
-#62 := [mp~ #54 #61]: #49
-[unit-resolution #62 #174]: false
-unsat
-7a9cc3ee85422788d981af84d181bd61d65f774c 181 0
-WARNING: failed to find a pattern for quantifier (quantifier id: k!2)
-#2 := false
-#4 := 0::int
-#5 := (:var 0 int)
-#48 := (<= #5 0::int)
-#49 := (not #48)
-#45 := (>= #5 0::int)
-#44 := (not #45)
-#52 := (or #44 #49)
-#55 := (forall (vars (?x1 int)) #52)
-#86 := (not #55)
-#263 := (<= 0::int 0::int)
-#268 := (not #263)
-#604 := (>= 0::int 0::int)
-#264 := (not #604)
-#605 := (or #264 #268)
-#588 := (or #86 #605)
-#584 := (iff #588 #86)
-#311 := (or #86 false)
-#207 := (iff #311 #86)
-#583 := [rewrite]: #207
-#312 := (iff #588 #311)
-#601 := (iff #605 false)
-#599 := (or false false)
-#600 := (iff #599 false)
-#598 := [rewrite]: #600
-#239 := (iff #605 #599)
-#234 := (iff #268 false)
-#1 := true
-#252 := (not true)
-#255 := (iff #252 false)
-#591 := [rewrite]: #255
-#590 := (iff #268 #252)
-#594 := (iff #263 true)
-#595 := [rewrite]: #594
-#596 := [monotonicity #595]: #590
-#597 := [trans #596 #591]: #234
-#592 := (iff #264 false)
-#253 := (iff #264 #252)
-#248 := (iff #604 true)
-#589 := [rewrite]: #248
-#254 := [monotonicity #589]: #253
-#593 := [trans #254 #591]: #592
-#240 := [monotonicity #593 #597]: #239
-#587 := [trans #240 #598]: #601
-#313 := [monotonicity #587]: #312
-#306 := [trans #313 #583]: #584
-#310 := [quant-inst]: #588
-#307 := [mp #310 #306]: #86
-decl z3name!0 :: bool
-#83 := z3name!0
-#12 := 3::int
-#32 := -1::int
-#92 := (ite z3name!0 -1::int 3::int)
-#290 := (= #92 3::int)
-#610 := (not #290)
-#608 := (>= #92 3::int)
-#265 := (not #608)
-#95 := (<= #92 0::int)
-#58 := (ite #55 -1::int 3::int)
-#64 := (<= #58 0::int)
-#96 := (~ #64 #95)
-#93 := (= #58 #92)
-#90 := (~ #55 z3name!0)
-#87 := (or z3name!0 #86)
-#84 := (not z3name!0)
-#85 := (or #84 #55)
-#88 := (and #85 #87)
-#89 := [intro-def]: #88
-#91 := [apply-def #89]: #90
-#94 := [monotonicity #91]: #93
-#97 := [monotonicity #94]: #96
-#10 := 1::int
-#11 := (- 1::int)
-#7 := (< 0::int #5)
-#6 := (< #5 0::int)
-#8 := (or #6 #7)
-#9 := (forall (vars (?x1 int)) #8)
-#13 := (ite #9 #11 3::int)
-#14 := (< 0::int #13)
-#15 := (not #14)
-#77 := (iff #15 #64)
-#35 := (ite #9 -1::int 3::int)
-#38 := (< 0::int #35)
-#41 := (not #38)
-#75 := (iff #41 #64)
-#65 := (not #64)
-#70 := (not #65)
-#73 := (iff #70 #64)
-#74 := [rewrite]: #73
-#71 := (iff #41 #70)
-#68 := (iff #38 #65)
-#61 := (< 0::int #58)
-#66 := (iff #61 #65)
-#67 := [rewrite]: #66
-#62 := (iff #38 #61)
-#59 := (= #35 #58)
-#56 := (iff #9 #55)
-#53 := (iff #8 #52)
-#50 := (iff #7 #49)
-#51 := [rewrite]: #50
-#46 := (iff #6 #44)
-#47 := [rewrite]: #46
-#54 := [monotonicity #47 #51]: #53
-#57 := [quant-intro #54]: #56
-#60 := [monotonicity #57]: #59
-#63 := [monotonicity #60]: #62
-#69 := [trans #63 #67]: #68
-#72 := [monotonicity #69]: #71
-#76 := [trans #72 #74]: #75
-#42 := (iff #15 #41)
-#39 := (iff #14 #38)
-#36 := (= #13 #35)
-#33 := (= #11 -1::int)
-#34 := [rewrite]: #33
-#37 := [monotonicity #34]: #36
-#40 := [monotonicity #37]: #39
-#43 := [monotonicity #40]: #42
-#78 := [trans #43 #76]: #77
-#31 := [asserted]: #15
-#79 := [mp #31 #78]: #64
-#126 := [mp~ #79 #97]: #95
-#395 := (not #95)
-#602 := (or #265 #395)
-#276 := [th-lemma]: #602
-#277 := [unit-resolution #276 #126]: #265
-#609 := [hypothesis]: #290
-#611 := (or #610 #608)
-#612 := [th-lemma]: #611
-#607 := [unit-resolution #612 #609 #277]: false
-#613 := [lemma #607]: #610
-#292 := (or z3name!0 #290)
-#271 := [def-axiom]: #292
-#581 := [unit-resolution #271 #613]: z3name!0
-#129 := (or #55 #84)
-decl ?x1!1 :: int
-#108 := ?x1!1
-#111 := (>= ?x1!1 0::int)
-#112 := (not #111)
-#109 := (<= ?x1!1 0::int)
-#110 := (not #109)
-#132 := (or #110 #112)
-#135 := (not #132)
-#138 := (or z3name!0 #135)
-#141 := (and #129 #138)
-#113 := (or #112 #110)
-#114 := (not #113)
-#119 := (or z3name!0 #114)
-#122 := (and #85 #119)
-#142 := (iff #122 #141)
-#139 := (iff #119 #138)
-#136 := (iff #114 #135)
-#133 := (iff #113 #132)
-#134 := [rewrite]: #133
-#137 := [monotonicity #134]: #136
-#140 := [monotonicity #137]: #139
-#130 := (iff #85 #129)
-#131 := [rewrite]: #130
-#143 := [monotonicity #131 #140]: #142
-#123 := (~ #88 #122)
-#120 := (~ #87 #119)
-#115 := (~ #86 #114)
-#116 := [sk]: #115
-#106 := (~ z3name!0 z3name!0)
-#107 := [refl]: #106
-#121 := [monotonicity #107 #116]: #120
-#104 := (~ #85 #85)
-#102 := (~ #55 #55)
-#100 := (~ #52 #52)
-#101 := [refl]: #100
-#103 := [nnf-pos #101]: #102
-#98 := (~ #84 #84)
-#99 := [refl]: #98
-#105 := [monotonicity #99 #103]: #104
-#124 := [monotonicity #105 #121]: #123
-#125 := [mp~ #89 #124]: #122
-#127 := [mp #125 #143]: #141
-#128 := [and-elim #127]: #129
-#585 := [unit-resolution #128 #581]: #55
-[unit-resolution #585 #307]: false
-unsat
-5201b12abd6b3d0f247a34c1fd9f443fc951c55f 68 0
-#2 := false
-#12 := 1::int
-#9 := (:var 1 int)
-#7 := 6::int
-#8 := (- 6::int)
-#10 := (* #8 #9)
-#5 := (:var 2 int)
-#4 := 4::int
-#6 := (* 4::int #5)
-#11 := (+ #6 #10)
-#13 := (= #11 1::int)
-#14 := (exists (vars (?x1 int) (?x2 int) (?x3 int)) #13)
-#15 := (not #14)
-#16 := (not #15)
-#82 := (iff #16 false)
-#53 := (:var 0 int)
-#33 := -6::int
-#54 := (* -6::int #53)
-#55 := (* 4::int #9)
-#56 := (+ #55 #54)
-#57 := (= 1::int #56)
-#58 := (exists (vars (?x1 int) (?x2 int)) #57)
-#80 := (iff #58 false)
-#76 := (exists (vars (?x1 int) (?x2 int)) false)
-#78 := (iff #76 false)
-#79 := [elim-unused]: #78
-#77 := (iff #58 #76)
-#73 := (iff #57 false)
-#74 := [rewrite]: #73
-#75 := [quant-intro #74]: #77
-#81 := [trans #75 #79]: #80
-#71 := (iff #16 #58)
-#63 := (not #58)
-#66 := (not #63)
-#69 := (iff #66 #58)
-#70 := [rewrite]: #69
-#67 := (iff #16 #66)
-#64 := (iff #15 #63)
-#61 := (iff #14 #58)
-#36 := (* -6::int #9)
-#39 := (+ #6 #36)
-#45 := (= 1::int #39)
-#50 := (exists (vars (?x1 int) (?x2 int) (?x3 int)) #45)
-#59 := (iff #50 #58)
-#60 := [elim-unused]: #59
-#51 := (iff #14 #50)
-#48 := (iff #13 #45)
-#42 := (= #39 1::int)
-#46 := (iff #42 #45)
-#47 := [rewrite]: #46
-#43 := (iff #13 #42)
-#40 := (= #11 #39)
-#37 := (= #10 #36)
-#34 := (= #8 -6::int)
-#35 := [rewrite]: #34
-#38 := [monotonicity #35]: #37
-#41 := [monotonicity #38]: #40
-#44 := [monotonicity #41]: #43
-#49 := [trans #44 #47]: #48
-#52 := [quant-intro #49]: #51
-#62 := [trans #52 #60]: #61
-#65 := [monotonicity #62]: #64
-#68 := [monotonicity #65]: #67
-#72 := [trans #68 #70]: #71
-#83 := [trans #72 #81]: #82
-#32 := [asserted]: #16
-[mp #32 #83]: false
-unsat
-0f9091dc6853772b5280c29fc11ae1382022f24d 107 0
-#2 := false
-#4 := 0::int
-decl ?x2!1 :: int
-#83 := ?x2!1
-decl ?x3!0 :: int
-#82 := ?x3!0
-#108 := (+ ?x3!0 ?x2!1)
-#111 := (<= #108 0::int)
-#114 := (not #111)
-#89 := (<= ?x2!1 0::int)
-#90 := (not #89)
-#87 := (<= ?x3!0 0::int)
-#88 := (not #87)
-#102 := (and #88 #90)
-#105 := (not #102)
-#117 := (or #105 #114)
-#120 := (not #117)
-#84 := (+ ?x2!1 ?x3!0)
-#85 := (<= #84 0::int)
-#86 := (not #85)
-#91 := (and #90 #88)
-#92 := (not #91)
-#93 := (or #92 #86)
-#94 := (not #93)
-#121 := (iff #94 #120)
-#118 := (iff #93 #117)
-#115 := (iff #86 #114)
-#112 := (iff #85 #111)
-#109 := (= #84 #108)
-#110 := [rewrite]: #109
-#113 := [monotonicity #110]: #112
-#116 := [monotonicity #113]: #115
-#106 := (iff #92 #105)
-#103 := (iff #91 #102)
-#104 := [rewrite]: #103
-#107 := [monotonicity #104]: #106
-#119 := [monotonicity #107 #116]: #118
-#122 := [monotonicity #119]: #121
-#7 := (:var 0 int)
-#5 := (:var 1 int)
-#10 := (+ #5 #7)
-#63 := (<= #10 0::int)
-#64 := (not #63)
-#53 := (<= #7 0::int)
-#54 := (not #53)
-#49 := (<= #5 0::int)
-#50 := (not #49)
-#57 := (and #50 #54)
-#60 := (not #57)
-#67 := (or #60 #64)
-#70 := (forall (vars (?x2 int) (?x3 int)) #67)
-#73 := (not #70)
-#95 := (~ #73 #94)
-#96 := [sk]: #95
-#11 := (< 0::int #10)
-#8 := (< 0::int #7)
-#6 := (< 0::int #5)
-#9 := (and #6 #8)
-#12 := (implies #9 #11)
-#13 := (forall (vars (?x2 int) (?x3 int)) #12)
-#14 := (exists (vars (?x1 int)) #13)
-#15 := (not #14)
-#76 := (iff #15 #73)
-#32 := (not #9)
-#33 := (or #32 #11)
-#36 := (forall (vars (?x2 int) (?x3 int)) #33)
-#46 := (not #36)
-#74 := (iff #46 #73)
-#71 := (iff #36 #70)
-#68 := (iff #33 #67)
-#65 := (iff #11 #64)
-#66 := [rewrite]: #65
-#61 := (iff #32 #60)
-#58 := (iff #9 #57)
-#55 := (iff #8 #54)
-#56 := [rewrite]: #55
-#51 := (iff #6 #50)
-#52 := [rewrite]: #51
-#59 := [monotonicity #52 #56]: #58
-#62 := [monotonicity #59]: #61
-#69 := [monotonicity #62 #66]: #68
-#72 := [quant-intro #69]: #71
-#75 := [monotonicity #72]: #74
-#47 := (iff #15 #46)
-#44 := (iff #14 #36)
-#39 := (exists (vars (?x1 int)) #36)
-#42 := (iff #39 #36)
-#43 := [elim-unused]: #42
-#40 := (iff #14 #39)
-#37 := (iff #13 #36)
-#34 := (iff #12 #33)
-#35 := [rewrite]: #34
-#38 := [quant-intro #35]: #37
-#41 := [quant-intro #38]: #40
-#45 := [trans #41 #43]: #44
-#48 := [monotonicity #45]: #47
-#77 := [trans #48 #75]: #76
-#31 := [asserted]: #15
-#78 := [mp #31 #77]: #73
-#99 := [mp~ #78 #96]: #94
-#100 := [mp #99 #122]: #120
-#125 := [not-or-elim #100]: #111
-#101 := [not-or-elim #100]: #102
-#124 := [and-elim #101]: #90
-#123 := [and-elim #101]: #88
-[th-lemma #123 #124 #125]: false
-unsat
-a19e2cec45cb985989328595a0e06836a1e0fbc3 117 0
-#2 := false
-#4 := 0::int
-decl ?x2!1 :: int
-#91 := ?x2!1
-#98 := (<= ?x2!1 0::int)
-#99 := (not #98)
-#7 := 0::real
-decl ?x3!0 :: real
-#93 := ?x3!0
-#96 := (<= ?x3!0 0::real)
-#97 := (not #96)
-#111 := (and #97 #99)
-#114 := (not #111)
-#33 := -1::int
-#94 := (<= ?x2!1 -1::int)
-#95 := (not #94)
-#120 := (or #95 #114)
-#125 := (not #120)
-#100 := (and #99 #97)
-#101 := (not #100)
-#102 := (or #101 #95)
-#103 := (not #102)
-#126 := (iff #103 #125)
-#123 := (iff #102 #120)
-#117 := (or #114 #95)
-#121 := (iff #117 #120)
-#122 := [rewrite]: #121
-#118 := (iff #102 #117)
-#115 := (iff #101 #114)
-#112 := (iff #100 #111)
-#113 := [rewrite]: #112
-#116 := [monotonicity #113]: #115
-#119 := [monotonicity #116]: #118
-#124 := [trans #119 #122]: #123
-#127 := [monotonicity #124]: #126
-#5 := (:var 1 int)
-#75 := (<= #5 -1::int)
-#76 := (not #75)
-#8 := (:var 0 real)
-#65 := (<= #8 0::real)
-#66 := (not #65)
-#61 := (<= #5 0::int)
-#62 := (not #61)
-#69 := (and #62 #66)
-#72 := (not #69)
-#79 := (or #72 #76)
-#82 := (forall (vars (?x2 int) (?x3 real)) #79)
-#85 := (not #82)
-#104 := (~ #85 #103)
-#105 := [sk]: #104
-#11 := 1::int
-#12 := (- 1::int)
-#13 := (< #12 #5)
-#9 := (< 0::real #8)
-#6 := (< 0::int #5)
-#10 := (and #6 #9)
-#14 := (implies #10 #13)
-#15 := (forall (vars (?x2 int) (?x3 real)) #14)
-#16 := (exists (vars (?x1 int)) #15)
-#17 := (not #16)
-#88 := (iff #17 #85)
-#36 := (< -1::int #5)
-#42 := (not #10)
-#43 := (or #42 #36)
-#48 := (forall (vars (?x2 int) (?x3 real)) #43)
-#58 := (not #48)
-#86 := (iff #58 #85)
-#83 := (iff #48 #82)
-#80 := (iff #43 #79)
-#77 := (iff #36 #76)
-#78 := [rewrite]: #77
-#73 := (iff #42 #72)
-#70 := (iff #10 #69)
-#67 := (iff #9 #66)
-#68 := [rewrite]: #67
-#63 := (iff #6 #62)
-#64 := [rewrite]: #63
-#71 := [monotonicity #64 #68]: #70
-#74 := [monotonicity #71]: #73
-#81 := [monotonicity #74 #78]: #80
-#84 := [quant-intro #81]: #83
-#87 := [monotonicity #84]: #86
-#59 := (iff #17 #58)
-#56 := (iff #16 #48)
-#51 := (exists (vars (?x1 int)) #48)
-#54 := (iff #51 #48)
-#55 := [elim-unused]: #54
-#52 := (iff #16 #51)
-#49 := (iff #15 #48)
-#46 := (iff #14 #43)
-#39 := (implies #10 #36)
-#44 := (iff #39 #43)
-#45 := [rewrite]: #44
-#40 := (iff #14 #39)
-#37 := (iff #13 #36)
-#34 := (= #12 -1::int)
-#35 := [rewrite]: #34
-#38 := [monotonicity #35]: #37
-#41 := [monotonicity #38]: #40
-#47 := [trans #41 #45]: #46
-#50 := [quant-intro #47]: #49
-#53 := [quant-intro #50]: #52
-#57 := [trans #53 #55]: #56
-#60 := [monotonicity #57]: #59
-#89 := [trans #60 #87]: #88
-#32 := [asserted]: #17
-#90 := [mp #32 #89]: #85
-#108 := [mp~ #90 #105]: #103
-#109 := [mp #108 #127]: #125
-#128 := [not-or-elim #109]: #111
-#130 := [and-elim #128]: #99
-#110 := [not-or-elim #109]: #94
-#186 := (or #95 #98)
-#187 := [th-lemma]: #186
-#188 := [unit-resolution #187 #110]: #98
-[unit-resolution #188 #130]: false
-unsat
-34bf666106f50c4ee2e8834de4912d59c6e7d9d9 148 0
-#2 := false
-#144 := (not false)
-#7 := 0::int
-#5 := (:var 0 int)
-#52 := (<= #5 0::int)
-#53 := (not #52)
-#147 := (or #53 #144)
-#150 := (not #147)
-#153 := (forall (vars (?x1 int)) #150)
-#180 := (iff #153 false)
-#175 := (forall (vars (?x1 int)) false)
-#178 := (iff #175 false)
-#179 := [elim-unused]: #178
-#176 := (iff #153 #175)
-#173 := (iff #150 false)
-#1 := true
-#168 := (not true)
-#171 := (iff #168 false)
-#172 := [rewrite]: #171
-#169 := (iff #150 #168)
-#166 := (iff #147 true)
-#161 := (or #53 true)
-#164 := (iff #161 true)
-#165 := [rewrite]: #164
-#162 := (iff #147 #161)
-#159 := (iff #144 true)
-#160 := [rewrite]: #159
-#163 := [monotonicity #160]: #162
-#167 := [trans #163 #165]: #166
-#170 := [monotonicity #167]: #169
-#174 := [trans #170 #172]: #173
-#177 := [quant-intro #174]: #176
-#181 := [trans #177 #179]: #180
-#56 := -1::int
-#57 := (* -1::int #5)
-#4 := (:var 1 int)
-#58 := (+ #4 #57)
-#59 := (<= #58 0::int)
-#62 := (not #59)
-#68 := (or #53 #62)
-#73 := (forall (vars (?x2 int)) #68)
-#76 := (not #73)
-#79 := (or #53 #76)
-#105 := (not #79)
-#123 := (forall (vars (?x1 int)) #105)
-#156 := (iff #123 #153)
-#127 := (forall (vars (?x2 int)) #53)
-#130 := (not #127)
-#133 := (or #53 #130)
-#136 := (not #133)
-#139 := (forall (vars (?x1 int)) #136)
-#154 := (iff #139 #153)
-#155 := [rewrite]: #154
-#140 := (iff #123 #139)
-#141 := [rewrite]: #140
-#157 := [trans #141 #155]: #156
-#116 := (and #52 #73)
-#119 := (forall (vars (?x1 int)) #116)
-#124 := (iff #119 #123)
-#113 := (iff #116 #105)
-#122 := [rewrite]: #113
-#125 := [quant-intro #122]: #124
-#94 := (not #53)
-#104 := (and #94 #73)
-#108 := (forall (vars (?x1 int)) #104)
-#120 := (iff #108 #119)
-#117 := (iff #104 #116)
-#114 := (iff #94 #52)
-#115 := [rewrite]: #114
-#118 := [monotonicity #115]: #117
-#121 := [quant-intro #118]: #120
-#82 := (exists (vars (?x1 int)) #79)
-#85 := (not #82)
-#109 := (~ #85 #108)
-#106 := (~ #105 #104)
-#101 := (not #76)
-#102 := (~ #101 #73)
-#99 := (~ #73 #73)
-#97 := (~ #68 #68)
-#98 := [refl]: #97
-#100 := [nnf-pos #98]: #99
-#103 := [nnf-neg #100]: #102
-#95 := (~ #94 #94)
-#96 := [refl]: #95
-#107 := [nnf-neg #96 #103]: #106
-#110 := [nnf-neg #107]: #109
-#8 := (< 0::int #5)
-#6 := (<= #4 #5)
-#9 := (implies #6 #8)
-#10 := (forall (vars (?x2 int)) #9)
-#11 := (implies #10 #8)
-#12 := (exists (vars (?x1 int)) #11)
-#13 := (not #12)
-#88 := (iff #13 #85)
-#30 := (not #6)
-#31 := (or #30 #8)
-#34 := (forall (vars (?x2 int)) #31)
-#40 := (not #34)
-#41 := (or #8 #40)
-#46 := (exists (vars (?x1 int)) #41)
-#49 := (not #46)
-#86 := (iff #49 #85)
-#83 := (iff #46 #82)
-#80 := (iff #41 #79)
-#77 := (iff #40 #76)
-#74 := (iff #34 #73)
-#71 := (iff #31 #68)
-#65 := (or #62 #53)
-#69 := (iff #65 #68)
-#70 := [rewrite]: #69
-#66 := (iff #31 #65)
-#54 := (iff #8 #53)
-#55 := [rewrite]: #54
-#63 := (iff #30 #62)
-#60 := (iff #6 #59)
-#61 := [rewrite]: #60
-#64 := [monotonicity #61]: #63
-#67 := [monotonicity #64 #55]: #66
-#72 := [trans #67 #70]: #71
-#75 := [quant-intro #72]: #74
-#78 := [monotonicity #75]: #77
-#81 := [monotonicity #55 #78]: #80
-#84 := [quant-intro #81]: #83
-#87 := [monotonicity #84]: #86
-#50 := (iff #13 #49)
-#47 := (iff #12 #46)
-#44 := (iff #11 #41)
-#37 := (implies #34 #8)
-#42 := (iff #37 #41)
-#43 := [rewrite]: #42
-#38 := (iff #11 #37)
-#35 := (iff #10 #34)
-#32 := (iff #9 #31)
-#33 := [rewrite]: #32
-#36 := [quant-intro #33]: #35
-#39 := [monotonicity #36]: #38
-#45 := [trans #39 #43]: #44
-#48 := [quant-intro #45]: #47
-#51 := [monotonicity #48]: #50
-#89 := [trans #51 #87]: #88
-#29 := [asserted]: #13
-#90 := [mp #29 #89]: #85
-#111 := [mp~ #90 #110]: #108
-#112 := [mp #111 #121]: #119
-#126 := [mp #112 #125]: #123
-#158 := [mp #126 #157]: #153
-[mp #158 #181]: false
-unsat
-1d6946d9384f22b76e98f04aff657c54e4fe51ad 67 0
-#2 := false
-#4 := (:var 0 int)
-#5 := (pattern #4)
-decl uf_1 :: int
-#6 := uf_1
-#8 := 2::int
-#10 := (* 2::int uf_1)
-#9 := (* 2::int #4)
-#11 := (< #9 #10)
-#7 := (< #4 uf_1)
-#12 := (implies #7 #11)
-#13 := (forall (vars (?x1 int)) (:pat #5) #12)
-#14 := (not #13)
-#79 := (iff #14 false)
-#31 := (not #7)
-#32 := (or #31 #11)
-#35 := (forall (vars (?x1 int)) (:pat #5) #32)
-#38 := (not #35)
-#77 := (iff #38 false)
-#1 := true
-#72 := (not true)
-#75 := (iff #72 false)
-#76 := [rewrite]: #75
-#73 := (iff #38 #72)
-#70 := (iff #35 true)
-#65 := (forall (vars (?x1 int)) (:pat #5) true)
-#68 := (iff #65 true)
-#69 := [elim-unused]: #68
-#66 := (iff #35 #65)
-#63 := (iff #32 true)
-#43 := 0::int
-#41 := -1::int
-#45 := (* -1::int uf_1)
-#46 := (+ #4 #45)
-#44 := (>= #46 0::int)
-#42 := (not #44)
-#57 := (or #44 #42)
-#61 := (iff #57 true)
-#62 := [rewrite]: #61
-#59 := (iff #32 #57)
-#58 := (iff #11 #42)
-#56 := [rewrite]: #58
-#54 := (iff #31 #44)
-#49 := (not #42)
-#52 := (iff #49 #44)
-#53 := [rewrite]: #52
-#50 := (iff #31 #49)
-#47 := (iff #7 #42)
-#48 := [rewrite]: #47
-#51 := [monotonicity #48]: #50
-#55 := [trans #51 #53]: #54
-#60 := [monotonicity #55 #56]: #59
-#64 := [trans #60 #62]: #63
-#67 := [quant-intro #64]: #66
-#71 := [trans #67 #69]: #70
-#74 := [monotonicity #71]: #73
-#78 := [trans #74 #76]: #77
-#39 := (iff #14 #38)
-#36 := (iff #13 #35)
-#33 := (iff #12 #32)
-#34 := [rewrite]: #33
-#37 := [quant-intro #34]: #36
-#40 := [monotonicity #37]: #39
-#80 := [trans #40 #78]: #79
-#30 := [asserted]: #14
-[mp #30 #80]: false
-unsat
-d938f8b556e86b20a82e4661e3a61bad7d95357d 1 0
-unsat
-dfca84a72c9a54145743ea34eaa7c75e8665fd45 75 0
-#2 := false
-#6 := 1::int
-decl uf_3 :: int
-#8 := uf_3
-#12 := (+ uf_3 1::int)
-decl uf_1 :: int
-#4 := uf_1
-#13 := (* uf_1 #12)
-decl uf_2 :: int
-#5 := uf_2
-#11 := (* uf_1 uf_2)
-#14 := (+ #11 #13)
-#7 := (+ uf_2 1::int)
-#9 := (+ #7 uf_3)
-#10 := (* uf_1 #9)
-#15 := (= #10 #14)
-#16 := (not #15)
-#85 := (iff #16 false)
-#1 := true
-#80 := (not true)
-#83 := (iff #80 false)
-#84 := [rewrite]: #83
-#81 := (iff #16 #80)
-#78 := (iff #15 true)
-#48 := (* uf_1 uf_3)
-#49 := (+ #11 #48)
-#50 := (+ uf_1 #49)
-#73 := (= #50 #50)
-#76 := (iff #73 true)
-#77 := [rewrite]: #76
-#74 := (iff #15 #73)
-#71 := (= #14 #50)
-#61 := (+ uf_1 #48)
-#66 := (+ #11 #61)
-#69 := (= #66 #50)
-#70 := [rewrite]: #69
-#67 := (= #14 #66)
-#64 := (= #13 #61)
-#55 := (+ 1::int uf_3)
-#58 := (* uf_1 #55)
-#62 := (= #58 #61)
-#63 := [rewrite]: #62
-#59 := (= #13 #58)
-#56 := (= #12 #55)
-#57 := [rewrite]: #56
-#60 := [monotonicity #57]: #59
-#65 := [trans #60 #63]: #64
-#68 := [monotonicity #65]: #67
-#72 := [trans #68 #70]: #71
-#53 := (= #10 #50)
-#39 := (+ uf_2 uf_3)
-#40 := (+ 1::int #39)
-#45 := (* uf_1 #40)
-#51 := (= #45 #50)
-#52 := [rewrite]: #51
-#46 := (= #10 #45)
-#43 := (= #9 #40)
-#33 := (+ 1::int uf_2)
-#36 := (+ #33 uf_3)
-#41 := (= #36 #40)
-#42 := [rewrite]: #41
-#37 := (= #9 #36)
-#34 := (= #7 #33)
-#35 := [rewrite]: #34
-#38 := [monotonicity #35]: #37
-#44 := [trans #38 #42]: #43
-#47 := [monotonicity #44]: #46
-#54 := [trans #47 #52]: #53
-#75 := [monotonicity #54 #72]: #74
-#79 := [trans #75 #77]: #78
-#82 := [monotonicity #79]: #81
-#86 := [trans #82 #84]: #85
-#32 := [asserted]: #16
-[mp #32 #86]: false
-unsat
-2662a556257bfe403cd3fda75e9fe55964bc9dcd 62 0
-#2 := false
-decl uf_2 :: real
-#6 := uf_2
-decl uf_1 :: real
-#4 := uf_1
-#12 := 2::real
-#13 := (* 2::real uf_1)
-#14 := (* #13 uf_2)
-#5 := 1::real
-#9 := (- 1::real uf_2)
-#10 := (* uf_1 #9)
-#7 := (+ 1::real uf_2)
-#8 := (* uf_1 #7)
-#11 := (- #8 #10)
-#15 := (= #11 #14)
-#16 := (not #15)
-#73 := (iff #16 false)
-#1 := true
-#68 := (not true)
-#71 := (iff #68 false)
-#72 := [rewrite]: #71
-#69 := (iff #16 #68)
-#66 := (iff #15 true)
-#33 := (* uf_1 uf_2)
-#55 := (* 2::real #33)
-#61 := (= #55 #55)
-#64 := (iff #61 true)
-#65 := [rewrite]: #64
-#62 := (iff #15 #61)
-#59 := (= #14 #55)
-#60 := [rewrite]: #59
-#57 := (= #11 #55)
-#37 := -1::real
-#45 := (* -1::real #33)
-#46 := (+ uf_1 #45)
-#34 := (+ uf_1 #33)
-#51 := (- #34 #46)
-#54 := (= #51 #55)
-#56 := [rewrite]: #54
-#52 := (= #11 #51)
-#49 := (= #10 #46)
-#38 := (* -1::real uf_2)
-#39 := (+ 1::real #38)
-#42 := (* uf_1 #39)
-#47 := (= #42 #46)
-#48 := [rewrite]: #47
-#43 := (= #10 #42)
-#40 := (= #9 #39)
-#41 := [rewrite]: #40
-#44 := [monotonicity #41]: #43
-#50 := [trans #44 #48]: #49
-#35 := (= #8 #34)
-#36 := [rewrite]: #35
-#53 := [monotonicity #36 #50]: #52
-#58 := [trans #53 #56]: #57
-#63 := [monotonicity #58 #60]: #62
-#67 := [trans #63 #65]: #66
-#70 := [monotonicity #67]: #69
-#74 := [trans #70 #72]: #73
-#32 := [asserted]: #16
-[mp #32 #74]: false
-unsat
-a89308e99854a72f032798efa6ed32cee1f069ad 141 0
-#2 := false
-decl uf_4 :: int
-#9 := uf_4
-decl uf_5 :: int
-#13 := uf_5
-decl uf_3 :: int
-#8 := uf_3
-#24 := (+ uf_3 uf_5)
-#25 := (+ #24 uf_4)
-decl uf_2 :: int
-#6 := uf_2
-#5 := 1::int
-#7 := (+ 1::int uf_2)
-#26 := (* #7 #25)
-#21 := (* uf_5 uf_2)
-#19 := (* #7 uf_5)
-#10 := (+ uf_3 uf_4)
-#16 := 2::int
-#17 := (* 2::int #7)
-#18 := (* #17 #10)
-#20 := (+ #18 #19)
-#22 := (+ #20 #21)
-decl uf_1 :: int
-#4 := uf_1
-#23 := (+ uf_1 #22)
-#27 := (- #23 #26)
-#14 := (* uf_2 uf_5)
-#11 := (* #7 #10)
-#12 := (+ uf_1 #11)
-#15 := (+ #12 #14)
-#28 := (= #15 #27)
-#29 := (not #28)
-#149 := (iff #29 false)
-#1 := true
-#144 := (not true)
-#147 := (iff #144 false)
-#148 := [rewrite]: #147
-#145 := (iff #29 #144)
-#142 := (iff #28 true)
-#47 := (* uf_2 uf_4)
-#46 := (* uf_2 uf_3)
-#48 := (+ #46 #47)
-#59 := (+ #14 #48)
-#60 := (+ uf_4 #59)
-#61 := (+ uf_3 #60)
-#62 := (+ uf_1 #61)
-#136 := (= #62 #62)
-#140 := (iff #136 true)
-#141 := [rewrite]: #140
-#135 := (iff #28 #136)
-#138 := (= #27 #62)
-#123 := (+ uf_5 #59)
-#124 := (+ uf_4 #123)
-#125 := (+ uf_3 #124)
-#77 := (* 2::int #47)
-#75 := (* 2::int #46)
-#78 := (+ #75 #77)
-#104 := (* 2::int #14)
-#105 := (+ #104 #78)
-#106 := (+ uf_5 #105)
-#76 := (* 2::int uf_4)
-#107 := (+ #76 #106)
-#74 := (* 2::int uf_3)
-#108 := (+ #74 #107)
-#113 := (+ uf_1 #108)
-#130 := (- #113 #125)
-#133 := (= #130 #62)
-#139 := [rewrite]: #133
-#131 := (= #27 #130)
-#128 := (= #26 #125)
-#116 := (+ uf_4 uf_5)
-#117 := (+ uf_3 #116)
-#120 := (* #7 #117)
-#126 := (= #120 #125)
-#127 := [rewrite]: #126
-#121 := (= #26 #120)
-#118 := (= #25 #117)
-#119 := [rewrite]: #118
-#122 := [monotonicity #119]: #121
-#129 := [trans #122 #127]: #128
-#114 := (= #23 #113)
-#111 := (= #22 #108)
-#91 := (+ #14 #78)
-#92 := (+ uf_5 #91)
-#93 := (+ #76 #92)
-#94 := (+ #74 #93)
-#101 := (+ #94 #14)
-#109 := (= #101 #108)
-#110 := [rewrite]: #109
-#102 := (= #22 #101)
-#99 := (= #21 #14)
-#100 := [rewrite]: #99
-#97 := (= #20 #94)
-#85 := (+ uf_5 #14)
-#79 := (+ #76 #78)
-#80 := (+ #74 #79)
-#88 := (+ #80 #85)
-#95 := (= #88 #94)
-#96 := [rewrite]: #95
-#89 := (= #20 #88)
-#86 := (= #19 #85)
-#87 := [rewrite]: #86
-#83 := (= #18 #80)
-#67 := (* 2::int uf_2)
-#68 := (+ 2::int #67)
-#71 := (* #68 #10)
-#81 := (= #71 #80)
-#82 := [rewrite]: #81
-#72 := (= #18 #71)
-#69 := (= #17 #68)
-#70 := [rewrite]: #69
-#73 := [monotonicity #70]: #72
-#84 := [trans #73 #82]: #83
-#90 := [monotonicity #84 #87]: #89
-#98 := [trans #90 #96]: #97
-#103 := [monotonicity #98 #100]: #102
-#112 := [trans #103 #110]: #111
-#115 := [monotonicity #112]: #114
-#132 := [monotonicity #115 #129]: #131
-#137 := [trans #132 #139]: #138
-#65 := (= #15 #62)
-#49 := (+ uf_4 #48)
-#50 := (+ uf_3 #49)
-#53 := (+ uf_1 #50)
-#56 := (+ #53 #14)
-#63 := (= #56 #62)
-#64 := [rewrite]: #63
-#57 := (= #15 #56)
-#54 := (= #12 #53)
-#51 := (= #11 #50)
-#52 := [rewrite]: #51
-#55 := [monotonicity #52]: #54
-#58 := [monotonicity #55]: #57
-#66 := [trans #58 #64]: #65
-#134 := [monotonicity #66 #137]: #135
-#143 := [trans #134 #141]: #142
-#146 := [monotonicity #143]: #145
-#150 := [trans #146 #148]: #149
-#45 := [asserted]: #29
-[mp #45 #150]: false
-unsat
-2e721ab2035f9845f1e87e78db6dfc67c28f6d40 252 0
-#2 := false
-#9 := 0::int
-decl uf_2 :: (-> T1 int)
-decl uf_1 :: (-> int T1)
-decl uf_3 :: T1
-#22 := uf_3
-#23 := (uf_2 uf_3)
-#21 := 2::int
-#24 := (* 2::int #23)
-#25 := (uf_1 #24)
-#293 := (uf_2 #25)
-#295 := -1::int
-#274 := (* -1::int #293)
-#610 := (+ #24 #274)
-#594 := (<= #610 0::int)
-#612 := (= #610 0::int)
-#606 := (>= #23 0::int)
-#237 := (= #293 0::int)
-#549 := (not #237)
-#588 := (<= #293 0::int)
-#457 := (not #588)
-#26 := 1::int
-#558 := (>= #293 1::int)
-#555 := (= #293 1::int)
-#27 := (uf_1 1::int)
-#589 := (uf_2 #27)
-#301 := (= #589 1::int)
-#10 := (:var 0 int)
-#12 := (uf_1 #10)
-#626 := (pattern #12)
-#70 := (>= #10 0::int)
-#71 := (not #70)
-#13 := (uf_2 #12)
-#52 := (= #10 #13)
-#77 := (or #52 #71)
-#627 := (forall (vars (?x2 int)) (:pat #626) #77)
-#82 := (forall (vars (?x2 int)) #77)
-#630 := (iff #82 #627)
-#628 := (iff #77 #77)
-#629 := [refl]: #628
-#631 := [quant-intro #629]: #630
-#132 := (~ #82 #82)
-#144 := (~ #77 #77)
-#145 := [refl]: #144
-#130 := [nnf-pos #145]: #132
-#14 := (= #13 #10)
-#11 := (<= 0::int #10)
-#15 := (implies #11 #14)
-#16 := (forall (vars (?x2 int)) #15)
-#85 := (iff #16 #82)
-#59 := (not #11)
-#60 := (or #59 #52)
-#65 := (forall (vars (?x2 int)) #60)
-#83 := (iff #65 #82)
-#80 := (iff #60 #77)
-#74 := (or #71 #52)
-#78 := (iff #74 #77)
-#79 := [rewrite]: #78
-#75 := (iff #60 #74)
-#72 := (iff #59 #71)
-#68 := (iff #11 #70)
-#69 := [rewrite]: #68
-#73 := [monotonicity #69]: #72
-#76 := [monotonicity #73]: #75
-#81 := [trans #76 #79]: #80
-#84 := [quant-intro #81]: #83
-#66 := (iff #16 #65)
-#63 := (iff #15 #60)
-#56 := (implies #11 #52)
-#61 := (iff #56 #60)
-#62 := [rewrite]: #61
-#57 := (iff #15 #56)
-#54 := (iff #14 #52)
-#55 := [rewrite]: #54
-#58 := [monotonicity #55]: #57
-#64 := [trans #58 #62]: #63
-#67 := [quant-intro #64]: #66
-#86 := [trans #67 #84]: #85
-#51 := [asserted]: #16
-#87 := [mp #51 #86]: #82
-#146 := [mp~ #87 #130]: #82
-#632 := [mp #146 #631]: #627
-#609 := (not #627)
-#578 := (or #609 #301)
-#311 := (>= 1::int 0::int)
-#585 := (not #311)
-#586 := (= 1::int #589)
-#590 := (or #586 #585)
-#419 := (or #609 #590)
-#421 := (iff #419 #578)
-#564 := (iff #578 #578)
-#565 := [rewrite]: #564
-#577 := (iff #590 #301)
-#574 := (or #301 false)
-#571 := (iff #574 #301)
-#576 := [rewrite]: #571
-#575 := (iff #590 #574)
-#584 := (iff #585 false)
-#1 := true
-#582 := (not true)
-#583 := (iff #582 false)
-#580 := [rewrite]: #583
-#296 := (iff #585 #582)
-#303 := (iff #311 true)
-#581 := [rewrite]: #303
-#579 := [monotonicity #581]: #296
-#573 := [trans #579 #580]: #584
-#300 := (iff #586 #301)
-#302 := [rewrite]: #300
-#570 := [monotonicity #302 #573]: #575
-#572 := [trans #570 #576]: #577
-#563 := [monotonicity #572]: #421
-#566 := [trans #563 #565]: #421
-#420 := [quant-inst]: #419
-#560 := [mp #420 #566]: #578
-#442 := [unit-resolution #560 #632]: #301
-#443 := (= #293 #589)
-#28 := (= #25 #27)
-#129 := [asserted]: #28
-#436 := [monotonicity #129]: #443
-#451 := [trans #436 #442]: #555
-#453 := (not #555)
-#454 := (or #453 #558)
-#447 := [th-lemma]: #454
-#455 := [unit-resolution #447 #451]: #558
-#456 := (not #558)
-#458 := (or #456 #457)
-#459 := [th-lemma]: #458
-#552 := [unit-resolution #459 #455]: #457
-#553 := (or #549 #588)
-#540 := [th-lemma]: #553
-#542 := [unit-resolution #540 #552]: #549
-#603 := (or #237 #606)
-#18 := (= #13 0::int)
-#118 := (or #18 #70)
-#633 := (forall (vars (?x3 int)) (:pat #626) #118)
-#123 := (forall (vars (?x3 int)) #118)
-#636 := (iff #123 #633)
-#634 := (iff #118 #118)
-#635 := [refl]: #634
-#637 := [quant-intro #635]: #636
-#133 := (~ #123 #123)
-#147 := (~ #118 #118)
-#148 := [refl]: #147
-#134 := [nnf-pos #148]: #133
-#17 := (< #10 0::int)
-#19 := (implies #17 #18)
-#20 := (forall (vars (?x3 int)) #19)
-#126 := (iff #20 #123)
-#89 := (= 0::int #13)
-#95 := (not #17)
-#96 := (or #95 #89)
-#101 := (forall (vars (?x3 int)) #96)
-#124 := (iff #101 #123)
-#121 := (iff #96 #118)
-#115 := (or #70 #18)
-#119 := (iff #115 #118)
-#120 := [rewrite]: #119
-#116 := (iff #96 #115)
-#113 := (iff #89 #18)
-#114 := [rewrite]: #113
-#111 := (iff #95 #70)
-#106 := (not #71)
-#109 := (iff #106 #70)
-#110 := [rewrite]: #109
-#107 := (iff #95 #106)
-#104 := (iff #17 #71)
-#105 := [rewrite]: #104
-#108 := [monotonicity #105]: #107
-#112 := [trans #108 #110]: #111
-#117 := [monotonicity #112 #114]: #116
-#122 := [trans #117 #120]: #121
-#125 := [quant-intro #122]: #124
-#102 := (iff #20 #101)
-#99 := (iff #19 #96)
-#92 := (implies #17 #89)
-#97 := (iff #92 #96)
-#98 := [rewrite]: #97
-#93 := (iff #19 #92)
-#90 := (iff #18 #89)
-#91 := [rewrite]: #90
-#94 := [monotonicity #91]: #93
-#100 := [trans #94 #98]: #99
-#103 := [quant-intro #100]: #102
-#127 := [trans #103 #125]: #126
-#88 := [asserted]: #20
-#128 := [mp #88 #127]: #123
-#149 := [mp~ #128 #134]: #123
-#638 := [mp #149 #637]: #633
-#604 := (not #633)
-#602 := (or #604 #237 #606)
-#204 := (>= #24 0::int)
-#601 := (or #237 #204)
-#605 := (or #604 #601)
-#317 := (iff #605 #602)
-#592 := (or #604 #603)
-#315 := (iff #592 #602)
-#316 := [rewrite]: #315
-#299 := (iff #605 #592)
-#242 := (iff #601 #603)
-#279 := (iff #204 #606)
-#280 := [rewrite]: #279
-#243 := [monotonicity #280]: #242
-#314 := [monotonicity #243]: #299
-#210 := [trans #314 #316]: #317
-#591 := [quant-inst]: #605
-#587 := [mp #591 #210]: #602
-#534 := [unit-resolution #587 #638]: #603
-#531 := [unit-resolution #534 #542]: #606
-#613 := (not #606)
-#607 := (or #613 #612)
-#251 := (or #609 #613 #612)
-#289 := (not #204)
-#294 := (= #24 #293)
-#291 := (or #294 #289)
-#593 := (or #609 #291)
-#597 := (iff #593 #251)
-#256 := (or #609 #607)
-#595 := (iff #256 #251)
-#596 := [rewrite]: #595
-#257 := (iff #593 #256)
-#608 := (iff #291 #607)
-#616 := (or #612 #613)
-#266 := (iff #616 #607)
-#271 := [rewrite]: #266
-#611 := (iff #291 #616)
-#614 := (iff #289 #613)
-#615 := [monotonicity #280]: #614
-#268 := (iff #294 #612)
-#399 := [rewrite]: #268
-#617 := [monotonicity #399 #615]: #611
-#267 := [trans #617 #271]: #608
-#258 := [monotonicity #267]: #257
-#598 := [trans #258 #596]: #597
-#255 := [quant-inst]: #593
-#599 := [mp #255 #598]: #251
-#533 := [unit-resolution #599 #632]: #607
-#543 := [unit-resolution #533 #531]: #612
-#544 := (not #612)
-#545 := (or #544 #594)
-#541 := [th-lemma]: #545
-#546 := [unit-resolution #541 #543]: #594
-#600 := (>= #610 0::int)
-#535 := (or #544 #600)
-#536 := [th-lemma]: #535
-#537 := [unit-resolution #536 #543]: #600
-#557 := (<= #293 1::int)
-#538 := (or #453 #557)
-#532 := [th-lemma]: #538
-#539 := [unit-resolution #532 #451]: #557
-[th-lemma #455 #539 #537 #546]: false
-unsat
-5d4787d5f6bf7b62bda1a48bdd01dc6863801852 223 0
-#2 := false
-#23 := 3::int
-decl uf_2 :: (-> T1 int)
-decl uf_3 :: T1
-#21 := uf_3
-#22 := (uf_2 uf_3)
-#137 := (>= #22 3::int)
-#135 := (not #137)
-#24 := (< #22 3::int)
-#136 := (iff #24 #135)
-#138 := [rewrite]: #136
-#132 := [asserted]: #24
-#139 := [mp #132 #138]: #135
-#9 := 0::int
-decl uf_1 :: (-> int T1)
-#25 := 2::int
-#26 := (* 2::int #22)
-#27 := (uf_1 #26)
-#28 := (uf_2 #27)
-#632 := -1::int
-#634 := (* -1::int #28)
-#290 := (+ #26 #634)
-#623 := (>= #290 0::int)
-#421 := (= #290 0::int)
-#302 := (>= #22 0::int)
-#625 := (= #28 0::int)
-#318 := (not #625)
-#322 := (<= #28 0::int)
-#324 := (not #322)
-#29 := 7::int
-#143 := (>= #28 7::int)
-#30 := (< #28 7::int)
-#31 := (not #30)
-#150 := (iff #31 #143)
-#141 := (not #143)
-#145 := (not #141)
-#148 := (iff #145 #143)
-#149 := [rewrite]: #148
-#146 := (iff #31 #145)
-#142 := (iff #30 #141)
-#144 := [rewrite]: #142
-#147 := [monotonicity #144]: #146
-#151 := [trans #147 #149]: #150
-#133 := [asserted]: #31
-#152 := [mp #133 #151]: #143
-#325 := (or #324 #141)
-#603 := [th-lemma]: #325
-#604 := [unit-resolution #603 #152]: #324
-#601 := (or #318 #322)
-#605 := [th-lemma]: #601
-#602 := [unit-resolution #605 #604]: #318
-#10 := (:var 0 int)
-#12 := (uf_1 #10)
-#648 := (pattern #12)
-#73 := (>= #10 0::int)
-#13 := (uf_2 #12)
-#18 := (= #13 0::int)
-#121 := (or #18 #73)
-#655 := (forall (vars (?x3 int)) (:pat #648) #121)
-#126 := (forall (vars (?x3 int)) #121)
-#658 := (iff #126 #655)
-#656 := (iff #121 #121)
-#657 := [refl]: #656
-#659 := [quant-intro #657]: #658
-#154 := (~ #126 #126)
-#170 := (~ #121 #121)
-#171 := [refl]: #170
-#155 := [nnf-pos #171]: #154
-#17 := (< #10 0::int)
-#19 := (implies #17 #18)
-#20 := (forall (vars (?x3 int)) #19)
-#129 := (iff #20 #126)
-#92 := (= 0::int #13)
-#98 := (not #17)
-#99 := (or #98 #92)
-#104 := (forall (vars (?x3 int)) #99)
-#127 := (iff #104 #126)
-#124 := (iff #99 #121)
-#118 := (or #73 #18)
-#122 := (iff #118 #121)
-#123 := [rewrite]: #122
-#119 := (iff #99 #118)
-#116 := (iff #92 #18)
-#117 := [rewrite]: #116
-#114 := (iff #98 #73)
-#74 := (not #73)
-#109 := (not #74)
-#112 := (iff #109 #73)
-#113 := [rewrite]: #112
-#110 := (iff #98 #109)
-#107 := (iff #17 #74)
-#108 := [rewrite]: #107
-#111 := [monotonicity #108]: #110
-#115 := [trans #111 #113]: #114
-#120 := [monotonicity #115 #117]: #119
-#125 := [trans #120 #123]: #124
-#128 := [quant-intro #125]: #127
-#105 := (iff #20 #104)
-#102 := (iff #19 #99)
-#95 := (implies #17 #92)
-#100 := (iff #95 #99)
-#101 := [rewrite]: #100
-#96 := (iff #19 #95)
-#93 := (iff #18 #92)
-#94 := [rewrite]: #93
-#97 := [monotonicity #94]: #96
-#103 := [trans #97 #101]: #102
-#106 := [quant-intro #103]: #105
-#130 := [trans #106 #128]: #129
-#91 := [asserted]: #20
-#131 := [mp #91 #130]: #126
-#172 := [mp~ #131 #155]: #126
-#660 := [mp #172 #659]: #655
-#337 := (not #655)
-#338 := (or #337 #302 #625)
-#315 := (>= #26 0::int)
-#264 := (or #625 #315)
-#339 := (or #337 #264)
-#611 := (iff #339 #338)
-#627 := (or #302 #625)
-#609 := (or #337 #627)
-#333 := (iff #609 #338)
-#607 := [rewrite]: #333
-#610 := (iff #339 #609)
-#321 := (iff #264 #627)
-#265 := (or #625 #302)
-#613 := (iff #265 #627)
-#614 := [rewrite]: #613
-#626 := (iff #264 #265)
-#635 := (iff #315 #302)
-#636 := [rewrite]: #635
-#624 := [monotonicity #636]: #626
-#336 := [trans #624 #614]: #321
-#332 := [monotonicity #336]: #610
-#608 := [trans #332 #607]: #611
-#231 := [quant-inst]: #339
-#612 := [mp #231 #608]: #338
-#606 := [unit-resolution #612 #660 #602]: #302
-#637 := (not #302)
-#293 := (or #637 #421)
-#55 := (= #10 #13)
-#80 := (or #55 #74)
-#649 := (forall (vars (?x2 int)) (:pat #648) #80)
-#85 := (forall (vars (?x2 int)) #80)
-#652 := (iff #85 #649)
-#650 := (iff #80 #80)
-#651 := [refl]: #650
-#653 := [quant-intro #651]: #652
-#153 := (~ #85 #85)
-#167 := (~ #80 #80)
-#168 := [refl]: #167
-#134 := [nnf-pos #168]: #153
-#14 := (= #13 #10)
-#11 := (<= 0::int #10)
-#15 := (implies #11 #14)
-#16 := (forall (vars (?x2 int)) #15)
-#88 := (iff #16 #85)
-#62 := (not #11)
-#63 := (or #62 #55)
-#68 := (forall (vars (?x2 int)) #63)
-#86 := (iff #68 #85)
-#83 := (iff #63 #80)
-#77 := (or #74 #55)
-#81 := (iff #77 #80)
-#82 := [rewrite]: #81
-#78 := (iff #63 #77)
-#75 := (iff #62 #74)
-#71 := (iff #11 #73)
-#72 := [rewrite]: #71
-#76 := [monotonicity #72]: #75
-#79 := [monotonicity #76]: #78
-#84 := [trans #79 #82]: #83
-#87 := [quant-intro #84]: #86
-#69 := (iff #16 #68)
-#66 := (iff #15 #63)
-#59 := (implies #11 #55)
-#64 := (iff #59 #63)
-#65 := [rewrite]: #64
-#60 := (iff #15 #59)
-#57 := (iff #14 #55)
-#58 := [rewrite]: #57
-#61 := [monotonicity #58]: #60
-#67 := [trans #61 #65]: #66
-#70 := [quant-intro #67]: #69
-#89 := [trans #70 #87]: #88
-#54 := [asserted]: #16
-#90 := [mp #54 #89]: #85
-#169 := [mp~ #90 #134]: #85
-#654 := [mp #169 #653]: #649
-#615 := (not #649)
-#277 := (or #615 #637 #421)
-#243 := (not #315)
-#317 := (= #26 #28)
-#296 := (or #317 #243)
-#278 := (or #615 #296)
-#621 := (iff #278 #277)
-#280 := (or #615 #293)
-#619 := (iff #280 #277)
-#620 := [rewrite]: #619
-#617 := (iff #278 #280)
-#631 := (iff #296 #293)
-#639 := (or #421 #637)
-#630 := (iff #639 #293)
-#289 := [rewrite]: #630
-#629 := (iff #296 #639)
-#638 := (iff #243 #637)
-#633 := [monotonicity #636]: #638
-#628 := (iff #317 #421)
-#301 := [rewrite]: #628
-#288 := [monotonicity #301 #633]: #629
-#273 := [trans #288 #289]: #631
-#618 := [monotonicity #273]: #617
-#616 := [trans #618 #620]: #621
-#279 := [quant-inst]: #278
-#622 := [mp #279 #616]: #277
-#595 := [unit-resolution #622 #654]: #293
-#596 := [unit-resolution #595 #606]: #421
-#597 := (not #421)
-#592 := (or #597 #623)
-#593 := [th-lemma]: #592
-#598 := [unit-resolution #593 #596]: #623
-[th-lemma #152 #598 #139]: false
-unsat
-60689c41168db239dbf5f3a98d5f2bce0fef9e02 367 0
-#2 := false
-#9 := 0::int
-decl uf_2 :: (-> T1 int)
-decl uf_3 :: T1
-#22 := uf_3
-#23 := (uf_2 uf_3)
-#469 := (= #23 0::int)
-decl uf_1 :: (-> int T1)
-#251 := (uf_1 #23)
-#557 := (uf_2 #251)
-#558 := (= #557 0::int)
-#556 := (>= #23 0::int)
-#477 := (not #556)
-#144 := -1::int
-#348 := (>= #23 -1::int)
-#628 := (not #348)
-#21 := 1::int
-#24 := (+ 1::int #23)
-#25 := (uf_1 #24)
-#26 := (uf_2 #25)
-#635 := (* -1::int #26)
-#632 := (+ #23 #635)
-#636 := (= #632 -1::int)
-#471 := (not #636)
-#606 := (<= #632 -1::int)
-#527 := (not #606)
-#145 := (* -1::int #23)
-#146 := (+ #145 #26)
-#149 := (uf_1 #146)
-#152 := (uf_2 #149)
-#504 := (+ #635 #152)
-#505 := (+ #23 #504)
-#573 := (>= #505 0::int)
-#502 := (= #505 0::int)
-#595 := (<= #632 0::int)
-#526 := [hypothesis]: #606
-#514 := (or #527 #595)
-#515 := [th-lemma]: #514
-#510 := [unit-resolution #515 #526]: #595
-#588 := (not #595)
-#579 := (or #502 #588)
-#10 := (:var 0 int)
-#12 := (uf_1 #10)
-#672 := (pattern #12)
-#76 := (>= #10 0::int)
-#77 := (not #76)
-#13 := (uf_2 #12)
-#58 := (= #10 #13)
-#83 := (or #58 #77)
-#673 := (forall (vars (?x2 int)) (:pat #672) #83)
-#88 := (forall (vars (?x2 int)) #83)
-#676 := (iff #88 #673)
-#674 := (iff #83 #83)
-#675 := [refl]: #674
-#677 := [quant-intro #675]: #676
-#179 := (~ #88 #88)
-#191 := (~ #83 #83)
-#192 := [refl]: #191
-#177 := [nnf-pos #192]: #179
-#14 := (= #13 #10)
-#11 := (<= 0::int #10)
-#15 := (implies #11 #14)
-#16 := (forall (vars (?x2 int)) #15)
-#91 := (iff #16 #88)
-#65 := (not #11)
-#66 := (or #65 #58)
-#71 := (forall (vars (?x2 int)) #66)
-#89 := (iff #71 #88)
-#86 := (iff #66 #83)
-#80 := (or #77 #58)
-#84 := (iff #80 #83)
-#85 := [rewrite]: #84
-#81 := (iff #66 #80)
-#78 := (iff #65 #77)
-#74 := (iff #11 #76)
-#75 := [rewrite]: #74
-#79 := [monotonicity #75]: #78
-#82 := [monotonicity #79]: #81
-#87 := [trans #82 #85]: #86
-#90 := [quant-intro #87]: #89
-#72 := (iff #16 #71)
-#69 := (iff #15 #66)
-#62 := (implies #11 #58)
-#67 := (iff #62 #66)
-#68 := [rewrite]: #67
-#63 := (iff #15 #62)
-#60 := (iff #14 #58)
-#61 := [rewrite]: #60
-#64 := [monotonicity #61]: #63
-#70 := [trans #64 #68]: #69
-#73 := [quant-intro #70]: #72
-#92 := [trans #73 #90]: #91
-#57 := [asserted]: #16
-#93 := [mp #57 #92]: #88
-#193 := [mp~ #93 #177]: #88
-#678 := [mp #193 #677]: #673
-#644 := (not #673)
-#591 := (or #644 #502 #588)
-#499 := (>= #146 0::int)
-#500 := (not #499)
-#493 := (= #146 #152)
-#501 := (or #493 #500)
-#587 := (or #644 #501)
-#585 := (iff #587 #591)
-#581 := (or #644 #579)
-#584 := (iff #581 #591)
-#578 := [rewrite]: #584
-#582 := (iff #587 #581)
-#589 := (iff #501 #579)
-#580 := (iff #500 #588)
-#599 := (iff #499 #595)
-#586 := [rewrite]: #599
-#577 := [monotonicity #586]: #580
-#503 := (iff #493 #502)
-#598 := [rewrite]: #503
-#590 := [monotonicity #598 #577]: #589
-#583 := [monotonicity #590]: #582
-#569 := [trans #583 #578]: #585
-#592 := [quant-inst]: #587
-#570 := [mp #592 #569]: #591
-#516 := [unit-resolution #570 #678]: #579
-#484 := [unit-resolution #516 #510]: #502
-#491 := (not #502)
-#450 := (or #491 #573)
-#481 := [th-lemma]: #450
-#483 := [unit-resolution #481 #484]: #573
-#554 := (<= #152 0::int)
-#163 := (* -1::int #152)
-#138 := (uf_1 0::int)
-#141 := (uf_2 #138)
-#164 := (+ #141 #163)
-#162 := (>= #164 0::int)
-#30 := (- #26 #23)
-#31 := (uf_1 #30)
-#32 := (uf_2 #31)
-#27 := (* 0::int #26)
-#28 := (uf_1 #27)
-#29 := (uf_2 #28)
-#33 := (< #29 #32)
-#34 := (not #33)
-#174 := (iff #34 #162)
-#155 := (< #141 #152)
-#158 := (not #155)
-#172 := (iff #158 #162)
-#161 := (not #162)
-#167 := (not #161)
-#170 := (iff #167 #162)
-#171 := [rewrite]: #170
-#168 := (iff #158 #167)
-#165 := (iff #155 #161)
-#166 := [rewrite]: #165
-#169 := [monotonicity #166]: #168
-#173 := [trans #169 #171]: #172
-#159 := (iff #34 #158)
-#156 := (iff #33 #155)
-#153 := (= #32 #152)
-#150 := (= #31 #149)
-#147 := (= #30 #146)
-#148 := [rewrite]: #147
-#151 := [monotonicity #148]: #150
-#154 := [monotonicity #151]: #153
-#142 := (= #29 #141)
-#139 := (= #28 #138)
-#136 := (= #27 0::int)
-#137 := [rewrite]: #136
-#140 := [monotonicity #137]: #139
-#143 := [monotonicity #140]: #142
-#157 := [monotonicity #143 #154]: #156
-#160 := [monotonicity #157]: #159
-#175 := [trans #160 #173]: #174
-#135 := [asserted]: #34
-#176 := [mp #135 #175]: #162
-#648 := (<= #141 0::int)
-#662 := (= #141 0::int)
-#645 := (or #644 #662)
-#445 := (>= 0::int 0::int)
-#652 := (not #445)
-#659 := (= 0::int #141)
-#660 := (or #659 #652)
-#640 := (or #644 #660)
-#284 := (iff #640 #645)
-#649 := (iff #645 #645)
-#289 := [rewrite]: #649
-#642 := (iff #660 #662)
-#302 := (or #662 false)
-#305 := (iff #302 #662)
-#641 := [rewrite]: #305
-#303 := (iff #660 #302)
-#298 := (iff #652 false)
-#1 := true
-#313 := (not true)
-#314 := (iff #313 false)
-#655 := [rewrite]: #314
-#318 := (iff #652 #313)
-#663 := (iff #445 true)
-#653 := [rewrite]: #663
-#654 := [monotonicity #653]: #318
-#639 := [trans #654 #655]: #298
-#661 := (iff #659 #662)
-#657 := [rewrite]: #661
-#304 := [monotonicity #657 #639]: #303
-#643 := [trans #304 #641]: #642
-#647 := [monotonicity #643]: #284
-#290 := [trans #647 #289]: #284
-#646 := [quant-inst]: #640
-#650 := [mp #646 #290]: #645
-#485 := [unit-resolution #650 #678]: #662
-#492 := (not #662)
-#494 := (or #492 #648)
-#495 := [th-lemma]: #494
-#496 := [unit-resolution #495 #485]: #648
-#506 := (not #648)
-#486 := (or #554 #506 #161)
-#507 := [th-lemma]: #486
-#462 := [unit-resolution #507 #496 #176]: #554
-#463 := [th-lemma #462 #526 #483]: false
-#468 := [lemma #463]: #527
-#472 := (or #471 #606)
-#473 := [th-lemma]: #472
-#474 := [unit-resolution #473 #468]: #471
-#619 := (or #628 #636)
-#622 := (or #644 #628 #636)
-#634 := (>= #24 0::int)
-#356 := (not #634)
-#357 := (= #24 #26)
-#631 := (or #357 #356)
-#623 := (or #644 #631)
-#610 := (iff #623 #622)
-#624 := (or #644 #619)
-#467 := (iff #624 #622)
-#609 := [rewrite]: #467
-#465 := (iff #623 #624)
-#616 := (iff #631 #619)
-#629 := (or #636 #628)
-#620 := (iff #629 #619)
-#621 := [rewrite]: #620
-#626 := (iff #631 #629)
-#343 := (iff #356 #628)
-#349 := (iff #634 #348)
-#627 := [rewrite]: #349
-#625 := [monotonicity #627]: #343
-#346 := (iff #357 #636)
-#347 := [rewrite]: #346
-#630 := [monotonicity #347 #625]: #626
-#617 := [trans #630 #621]: #616
-#466 := [monotonicity #617]: #465
-#611 := [trans #466 #609]: #610
-#618 := [quant-inst]: #623
-#612 := [mp #618 #611]: #622
-#475 := [unit-resolution #612 #678]: #619
-#476 := [unit-resolution #475 #474]: #628
-#478 := (or #477 #348)
-#479 := [th-lemma]: #478
-#464 := [unit-resolution #479 #476]: #477
-#560 := (or #556 #558)
-#18 := (= #13 0::int)
-#124 := (or #18 #76)
-#679 := (forall (vars (?x3 int)) (:pat #672) #124)
-#129 := (forall (vars (?x3 int)) #124)
-#682 := (iff #129 #679)
-#680 := (iff #124 #124)
-#681 := [refl]: #680
-#683 := [quant-intro #681]: #682
-#180 := (~ #129 #129)
-#194 := (~ #124 #124)
-#195 := [refl]: #194
-#181 := [nnf-pos #195]: #180
-#17 := (< #10 0::int)
-#19 := (implies #17 #18)
-#20 := (forall (vars (?x3 int)) #19)
-#132 := (iff #20 #129)
-#95 := (= 0::int #13)
-#101 := (not #17)
-#102 := (or #101 #95)
-#107 := (forall (vars (?x3 int)) #102)
-#130 := (iff #107 #129)
-#127 := (iff #102 #124)
-#121 := (or #76 #18)
-#125 := (iff #121 #124)
-#126 := [rewrite]: #125
-#122 := (iff #102 #121)
-#119 := (iff #95 #18)
-#120 := [rewrite]: #119
-#117 := (iff #101 #76)
-#112 := (not #77)
-#115 := (iff #112 #76)
-#116 := [rewrite]: #115
-#113 := (iff #101 #112)
-#110 := (iff #17 #77)
-#111 := [rewrite]: #110
-#114 := [monotonicity #111]: #113
-#118 := [trans #114 #116]: #117
-#123 := [monotonicity #118 #120]: #122
-#128 := [trans #123 #126]: #127
-#131 := [quant-intro #128]: #130
-#108 := (iff #20 #107)
-#105 := (iff #19 #102)
-#98 := (implies #17 #95)
-#103 := (iff #98 #102)
-#104 := [rewrite]: #103
-#99 := (iff #19 #98)
-#96 := (iff #18 #95)
-#97 := [rewrite]: #96
-#100 := [monotonicity #97]: #99
-#106 := [trans #100 #104]: #105
-#109 := [quant-intro #106]: #108
-#133 := [trans #109 #131]: #132
-#94 := [asserted]: #20
-#134 := [mp #94 #133]: #129
-#196 := [mp~ #134 #181]: #129
-#684 := [mp #196 #683]: #679
-#604 := (not #679)
-#539 := (or #604 #556 #558)
-#559 := (or #558 #556)
-#540 := (or #604 #559)
-#547 := (iff #540 #539)
-#543 := (or #604 #560)
-#546 := (iff #543 #539)
-#541 := [rewrite]: #546
-#544 := (iff #540 #543)
-#550 := (iff #559 #560)
-#561 := [rewrite]: #550
-#545 := [monotonicity #561]: #544
-#533 := [trans #545 #541]: #547
-#542 := [quant-inst]: #540
-#529 := [mp #542 #533]: #539
-#480 := [unit-resolution #529 #684]: #560
-#441 := [unit-resolution #480 #464]: #558
-#449 := (= #23 #557)
-#336 := (= uf_3 #251)
-#4 := (:var 0 T1)
-#5 := (uf_2 #4)
-#664 := (pattern #5)
-#6 := (uf_1 #5)
-#51 := (= #4 #6)
-#665 := (forall (vars (?x1 T1)) (:pat #664) #51)
-#54 := (forall (vars (?x1 T1)) #51)
-#666 := (iff #54 #665)
-#668 := (iff #665 #665)
-#669 := [rewrite]: #668
-#667 := [rewrite]: #666
-#670 := [trans #667 #669]: #666
-#188 := (~ #54 #54)
-#186 := (~ #51 #51)
-#187 := [refl]: #186
-#189 := [nnf-pos #187]: #188
-#7 := (= #6 #4)
-#8 := (forall (vars (?x1 T1)) #7)
-#55 := (iff #8 #54)
-#52 := (iff #7 #51)
-#53 := [rewrite]: #52
-#56 := [quant-intro #53]: #55
-#50 := [asserted]: #8
-#59 := [mp #50 #56]: #54
-#190 := [mp~ #59 #189]: #54
-#671 := [mp #190 #670]: #665
-#337 := (not #665)
-#338 := (or #337 #336)
-#342 := [quant-inst]: #338
-#442 := [unit-resolution #342 #671]: #336
-#451 := [monotonicity #442]: #449
-#452 := [trans #451 #441]: #469
-#453 := (not #469)
-#455 := (or #453 #556)
-#456 := [th-lemma]: #455
-[unit-resolution #456 #464 #452]: false
-unsat
-94b7ba760bb9dd467688fc28632e0ae8f6f51951 302 0
-#2 := false
-#9 := 0::int
-decl uf_2 :: (-> T1 int)
-decl uf_1 :: (-> int T1)
-decl uf_3 :: T1
-#22 := uf_3
-#23 := (uf_2 uf_3)
-#21 := 1::int
-#24 := (+ 1::int #23)
-#25 := (uf_1 #24)
-#26 := (uf_2 #25)
-#138 := -1::int
-#139 := (+ -1::int #26)
-#142 := (uf_1 #139)
-#289 := (uf_2 #142)
-#674 := (* -1::int #289)
-#538 := (+ #23 #674)
-#532 := (>= #538 0::int)
-#536 := (= #23 #289)
-#148 := (= uf_3 #142)
-#167 := (<= #26 0::int)
-#168 := (not #167)
-#174 := (iff #148 #168)
-#189 := (not #174)
-#220 := (iff #189 #148)
-#210 := (not #148)
-#215 := (not #210)
-#218 := (iff #215 #148)
-#219 := [rewrite]: #218
-#216 := (iff #189 #215)
-#213 := (iff #174 #210)
-#207 := (iff #148 false)
-#211 := (iff #207 #210)
-#212 := [rewrite]: #211
-#208 := (iff #174 #207)
-#205 := (iff #168 false)
-#1 := true
-#200 := (not true)
-#203 := (iff #200 false)
-#204 := [rewrite]: #203
-#201 := (iff #168 #200)
-#198 := (iff #167 true)
-#179 := (or #168 #174)
-#182 := (not #179)
-#27 := (< 0::int #26)
-#28 := (ite #27 true false)
-#29 := (- #26 1::int)
-#30 := (uf_1 #29)
-#31 := (= #30 uf_3)
-#32 := (iff #28 #31)
-#33 := (or #32 #28)
-#34 := (not #33)
-#185 := (iff #34 #182)
-#153 := (iff #27 #148)
-#159 := (or #27 #153)
-#164 := (not #159)
-#183 := (iff #164 #182)
-#180 := (iff #159 #179)
-#177 := (iff #153 #174)
-#171 := (iff #168 #148)
-#175 := (iff #171 #174)
-#176 := [rewrite]: #175
-#172 := (iff #153 #171)
-#169 := (iff #27 #168)
-#170 := [rewrite]: #169
-#173 := [monotonicity #170]: #172
-#178 := [trans #173 #176]: #177
-#181 := [monotonicity #170 #178]: #180
-#184 := [monotonicity #181]: #183
-#165 := (iff #34 #164)
-#162 := (iff #33 #159)
-#156 := (or #153 #27)
-#160 := (iff #156 #159)
-#161 := [rewrite]: #160
-#157 := (iff #33 #156)
-#136 := (iff #28 #27)
-#137 := [rewrite]: #136
-#154 := (iff #32 #153)
-#151 := (iff #31 #148)
-#145 := (= #142 uf_3)
-#149 := (iff #145 #148)
-#150 := [rewrite]: #149
-#146 := (iff #31 #145)
-#143 := (= #30 #142)
-#140 := (= #29 #139)
-#141 := [rewrite]: #140
-#144 := [monotonicity #141]: #143
-#147 := [monotonicity #144]: #146
-#152 := [trans #147 #150]: #151
-#155 := [monotonicity #137 #152]: #154
-#158 := [monotonicity #155 #137]: #157
-#163 := [trans #158 #161]: #162
-#166 := [monotonicity #163]: #165
-#186 := [trans #166 #184]: #185
-#135 := [asserted]: #34
-#187 := [mp #135 #186]: #182
-#188 := [not-or-elim #187]: #167
-#199 := [iff-true #188]: #198
-#202 := [monotonicity #199]: #201
-#206 := [trans #202 #204]: #205
-#209 := [monotonicity #206]: #208
-#214 := [trans #209 #212]: #213
-#217 := [monotonicity #214]: #216
-#221 := [trans #217 #219]: #220
-#190 := [not-or-elim #187]: #189
-#222 := [mp #190 #221]: #148
-#543 := [monotonicity #222]: #536
-#544 := (not #536)
-#616 := (or #544 #532)
-#618 := [th-lemma]: #616
-#628 := [unit-resolution #618 #543]: #532
-#354 := (* -1::int #26)
-#484 := (+ #23 #354)
-#683 := (<= #484 -1::int)
-#691 := (= #484 -1::int)
-#698 := (>= #23 -1::int)
-#521 := (>= #289 0::int)
-#652 := (= #289 0::int)
-#387 := (>= #26 1::int)
-#667 := (not #387)
-#629 := (or #667 #168)
-#630 := [th-lemma]: #629
-#626 := [unit-resolution #630 #188]: #667
-#10 := (:var 0 int)
-#12 := (uf_1 #10)
-#711 := (pattern #12)
-#76 := (>= #10 0::int)