--- a/src/HOL/ex/svc_test.ML Fri Aug 06 11:05:20 1999 +0200
+++ b/src/HOL/ex/svc_test.ML Fri Aug 06 11:06:16 1999 +0200
@@ -15,16 +15,224 @@
if svc_enabled then
(
(** Propositional Logic **)
- Goal "((P & (Q-->R))-->S) = ((~P | Q | S) & (~P | ~R | S))";
+
+ (*Blast_tac's runtime for this type of problem appears to be exponential
+ in its length, though Fast_tac manages*)
+ Goal "P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P";
+ by (svc_tac 1);
+ result();
+
+ (** Some big tautologies supplied by John Harrison **)
+
+ (*Tautology name: puz013_1. Auto_tac manages; Blast_tac and Fast_tac take
+ a minute or more.*)
+ Goal "~(~v12 & \
+ \ v0 & \
+ \ v10 & \
+ \ (v4 | v5) & \
+ \ (v9 | v2) & \
+ \ (v8 | v1) & \
+ \ (v7 | v0) & \
+ \ (v3 | v12) & \
+ \ (v11 | v10) & \
+ \ (~v12 | ~v6 | v7) & \
+ \ (~v10 | ~v3 | v1) & \
+ \ (~v10 | ~v0 | ~v4 | v11) & \
+ \ (~v5 | ~v2 | ~v8) & \
+ \ (~v12 | ~v9 | ~v7) & \
+ \ (~v0 | ~v1 | v4) & \
+ \ (~v4 | v7 | v2) & \
+ \ (~v12 | ~v3 | v8) & \
+ \ (~v4 | v5 | v6) & \
+ \ (~v7 | ~v8 | v9) & \
+ \ (~v10 | ~v11 | v12))";
by (svc_tac 1);
result();
- (*Blast_tac's runtime for this type of problem appears to be exponential
- in its length*)
- Goal "P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P";
+ (*Tautology name: dk17_be*)
+ Goal "(GE17 <-> ~IN4 & ~IN3 & ~IN2 & ~IN1) & \
+ \ (GE0 <-> GE17 & ~IN5) & \
+ \ (GE22 <-> ~IN9 & ~IN7 & ~IN6 & IN0) & \
+ \ (GE19 <-> ~IN5 & ~IN4 & ~IN3 & ~IN0) & \
+ \ (GE20 <-> ~IN7 & ~IN6) & \
+ \ (GE18 <-> ~IN6 & ~IN2 & ~IN1 & ~IN0) & \
+ \ (GE21 <-> IN9 & ~IN7 & IN6 & ~IN0) & \
+ \ (GE23 <-> GE22 & GE0) & \
+ \ (GE25 <-> ~IN9 & ~IN7 & IN6 & ~IN0) & \
+ \ (GE26 <-> IN9 & ~IN7 & ~IN6 & IN0) & \
+ \ (GE2 <-> GE20 & GE19) & \
+ \ (GE1 <-> GE18 & ~IN7) & \
+ \ (GE24 <-> GE23 | GE21 & GE0) & \
+ \ (GE5 <-> ~IN5 & IN4 | IN5 & ~IN4) & \
+ \ (GE6 <-> GE0 & IN7 & ~IN6 & ~IN0) & \
+ \ (GE12 <-> GE26 & GE0 | GE25 & GE0) & \
+ \ (GE14 <-> GE2 & IN8 & ~IN2 & IN1) & \
+ \ (GE27 <-> ~IN8 & IN5 & ~IN4 & ~IN3) & \
+ \ (GE9 <-> GE1 & ~IN5 & ~IN4 & IN3) & \
+ \ (GE7 <-> GE24 | GE2 & IN2 & ~IN1) & \
+ \ (GE10 <-> GE6 | GE5 & GE1 & ~IN3) & \
+ \ (GE15 <-> ~IN8 | IN9) & \
+ \ (GE16 <-> GE12 | GE14 & ~IN9) & \
+ \ (GE4 <-> \
+ \ GE5 & GE1 & IN8 & ~IN3 | \
+ \ GE0 & ~IN7 & IN6 & ~IN0 | \
+ \ GE2 & IN2 & ~IN1) & \
+ \ (GE13 <-> GE27 & GE1) & \
+ \ (GE11 <-> GE9 | GE6 & ~IN8) & \
+ \ (GE8 <-> GE1 & ~IN5 & IN4 & ~IN3 | GE2 & ~IN2 & IN1) & \
+ \ (OUT0 <-> GE7 & ~IN8) & \
+ \ (OUT1 <-> GE7 & IN8) & \
+ \ (OUT2 <-> GE8 & ~IN9 | GE10 & IN8) & \
+ \ (OUT3 <-> GE8 & IN9 & ~IN8 | GE11 & ~IN9 | GE12 & ~IN8) & \
+ \ (OUT4 <-> GE11 & IN9 | GE12 & IN8) & \
+ \ (OUT5 <-> GE14 & IN9) & \
+ \ (OUT6 <-> GE13 & ~IN9) & \
+ \ (OUT7 <-> GE13 & IN9) & \
+ \ (OUT8 <-> GE9 & ~IN8 | GE15 & GE6 | GE4 & IN9) & \
+ \ (OUT9 <-> GE9 & IN8 | ~GE15 & GE10 | GE16) & \
+ \ (OUT10 <-> GE7) & \
+ \ (WRES0 <-> ~IN5 & ~IN4 & ~IN3 & ~IN2 & ~IN1) & \
+ \ (WRES1 <-> ~IN7 & ~IN6 & ~IN2 & ~IN1 & ~IN0) & \
+ \ (WRES2 <-> ~IN7 & ~IN6 & ~IN5 & ~IN4 & ~IN3 & ~IN0) & \
+ \ (WRES5 <-> ~IN5 & IN4 | IN5 & ~IN4) & \
+ \ (WRES6 <-> WRES0 & IN7 & ~IN6 & ~IN0) & \
+ \ (WRES9 <-> WRES1 & ~IN5 & ~IN4 & IN3) & \
+ \ (WRES7 <-> \
+ \ WRES0 & ~IN9 & ~IN7 & ~IN6 & IN0 | \
+ \ WRES0 & IN9 & ~IN7 & IN6 & ~IN0 | \
+ \ WRES2 & IN2 & ~IN1) & \
+ \ (WRES10 <-> WRES6 | WRES5 & WRES1 & ~IN3) & \
+ \ (WRES12 <-> \
+ \ WRES0 & IN9 & ~IN7 & ~IN6 & IN0 | \
+ \ WRES0 & ~IN9 & ~IN7 & IN6 & ~IN0) & \
+ \ (WRES14 <-> WRES2 & IN8 & ~IN2 & IN1) & \
+ \ (WRES15 <-> ~IN8 | IN9) & \
+ \ (WRES4 <-> \
+ \ WRES5 & WRES1 & IN8 & ~IN3 | \
+ \ WRES2 & IN2 & ~IN1 | \
+ \ WRES0 & ~IN7 & IN6 & ~IN0) & \
+ \ (WRES13 <-> WRES1 & ~IN8 & IN5 & ~IN4 & ~IN3) & \
+ \ (WRES11 <-> WRES9 | WRES6 & ~IN8) & \
+ \ (WRES8 <-> WRES1 & ~IN5 & IN4 & ~IN3 | WRES2 & ~IN2 & IN1) \
+ \ --> (OUT10 <-> WRES7) & \
+ \ (OUT9 <-> WRES9 & IN8 | WRES12 | WRES14 & ~IN9 | ~WRES15 & WRES10) & \
+ \ (OUT8 <-> WRES9 & ~IN8 | WRES15 & WRES6 | WRES4 & IN9) & \
+ \ (OUT7 <-> WRES13 & IN9) & \
+ \ (OUT6 <-> WRES13 & ~IN9) & \
+ \ (OUT5 <-> WRES14 & IN9) & \
+ \ (OUT4 <-> WRES11 & IN9 | WRES12 & IN8) & \
+ \ (OUT3 <-> WRES8 & IN9 & ~IN8 | WRES11 & ~IN9 | WRES12 & ~IN8) & \
+ \ (OUT2 <-> WRES8 & ~IN9 | WRES10 & IN8) & \
+ \ (OUT1 <-> WRES7 & IN8) & \
+ \ (OUT0 <-> WRES7 & ~IN8)";
by (svc_tac 1);
result();
+ (*Tautology name: sqn_be. Fast_tac only takes a couple of seconds.*)
+ Goal "(GE0 <-> IN6 & IN1 | ~IN6 & ~IN1) & \
+ \ (GE8 <-> ~IN3 & ~IN1) & \
+ \ (GE5 <-> IN6 | IN5) & \
+ \ (GE9 <-> ~GE0 | IN2 | ~IN5) & \
+ \ (GE1 <-> IN3 | ~IN0) & \
+ \ (GE11 <-> GE8 & IN4) & \
+ \ (GE3 <-> ~IN4 | ~IN2) & \
+ \ (GE34 <-> ~GE5 & IN4 | ~GE9) & \
+ \ (GE2 <-> ~IN4 & IN1) & \
+ \ (GE14 <-> ~GE1 & ~IN4) & \
+ \ (GE19 <-> GE11 & ~GE5) & \
+ \ (GE13 <-> GE8 & ~GE3 & ~IN0) & \
+ \ (GE20 <-> ~IN5 & IN2 | GE34) & \
+ \ (GE12 <-> GE2 & ~IN3) & \
+ \ (GE27 <-> GE14 & IN6 | GE19) & \
+ \ (GE10 <-> ~IN6 | IN5) & \
+ \ (GE28 <-> GE13 | GE20 & ~GE1) & \
+ \ (GE6 <-> ~IN5 | IN6) & \
+ \ (GE15 <-> GE2 & IN2) & \
+ \ (GE29 <-> GE27 | GE12 & GE5) & \
+ \ (GE4 <-> IN3 & ~IN0) & \
+ \ (GE21 <-> ~GE10 & ~IN1 | ~IN5 & ~IN2) & \
+ \ (GE30 <-> GE28 | GE14 & IN2) & \
+ \ (GE31 <-> GE29 | GE15 & ~GE6) & \
+ \ (GE7 <-> ~IN6 | ~IN5) & \
+ \ (GE17 <-> ~GE3 & ~IN1) & \
+ \ (GE18 <-> GE4 & IN2) & \
+ \ (GE16 <-> GE2 & IN0) & \
+ \ (GE23 <-> GE19 | GE9 & ~GE1) & \
+ \ (GE32 <-> GE15 & ~IN6 & ~IN0 | GE21 & GE4 & ~IN4 | GE30 | GE31) & \
+ \ (GE33 <-> \
+ \ GE18 & ~GE6 & ~IN4 | \
+ \ GE17 & ~GE7 & IN3 | \
+ \ ~GE7 & GE4 & ~GE3 | \
+ \ GE11 & IN5 & ~IN0) & \
+ \ (GE25 <-> GE14 & ~GE6 | GE13 & ~GE5 | GE16 & ~IN5 | GE15 & GE1) & \
+ \ (GE26 <-> \
+ \ GE12 & IN5 & ~IN2 | \
+ \ GE10 & GE4 & IN1 | \
+ \ GE17 & ~GE6 & IN0 | \
+ \ GE2 & ~IN6) & \
+ \ (GE24 <-> GE23 | GE16 & GE7) & \
+ \ (OUT0 <-> \
+ \ GE6 & IN4 & ~IN1 & IN0 | GE18 & GE0 & ~IN5 | GE12 & ~GE10 | GE24) & \
+ \ (OUT1 <-> GE26 | GE25 | ~GE5 & GE4 & GE3 | GE7 & ~GE1 & IN1) & \
+ \ (OUT2 <-> GE33 | GE32) & \
+ \ (WRES8 <-> ~IN3 & ~IN1) & \
+ \ (WRES0 <-> IN6 & IN1 | ~IN6 & ~IN1) & \
+ \ (WRES2 <-> ~IN4 & IN1) & \
+ \ (WRES3 <-> ~IN4 | ~IN2) & \
+ \ (WRES1 <-> IN3 | ~IN0) & \
+ \ (WRES4 <-> IN3 & ~IN0) & \
+ \ (WRES5 <-> IN6 | IN5) & \
+ \ (WRES11 <-> WRES8 & IN4) & \
+ \ (WRES9 <-> ~WRES0 | IN2 | ~IN5) & \
+ \ (WRES10 <-> ~IN6 | IN5) & \
+ \ (WRES6 <-> ~IN5 | IN6) & \
+ \ (WRES7 <-> ~IN6 | ~IN5) & \
+ \ (WRES12 <-> WRES2 & ~IN3) & \
+ \ (WRES13 <-> WRES8 & ~WRES3 & ~IN0) & \
+ \ (WRES14 <-> ~WRES1 & ~IN4) & \
+ \ (WRES15 <-> WRES2 & IN2) & \
+ \ (WRES17 <-> ~WRES3 & ~IN1) & \
+ \ (WRES18 <-> WRES4 & IN2) & \
+ \ (WRES19 <-> WRES11 & ~WRES5) & \
+ \ (WRES20 <-> ~IN5 & IN2 | ~WRES5 & IN4 | ~WRES9) & \
+ \ (WRES21 <-> ~WRES10 & ~IN1 | ~IN5 & ~IN2) & \
+ \ (WRES16 <-> WRES2 & IN0) \
+ \ --> (OUT2 <-> \
+ \ WRES11 & IN5 & ~IN0 | \
+ \ ~WRES7 & WRES4 & ~WRES3 | \
+ \ WRES12 & WRES5 | \
+ \ WRES13 | \
+ \ WRES14 & IN2 | \
+ \ WRES14 & IN6 | \
+ \ WRES15 & ~WRES6 | \
+ \ WRES15 & ~IN6 & ~IN0 | \
+ \ WRES17 & ~WRES7 & IN3 | \
+ \ WRES18 & ~WRES6 & ~IN4 | \
+ \ WRES20 & ~WRES1 | \
+ \ WRES21 & WRES4 & ~IN4 | \
+ \ WRES19) & \
+ \ (OUT1 <-> \
+ \ ~WRES5 & WRES4 & WRES3 | \
+ \ WRES7 & ~WRES1 & IN1 | \
+ \ WRES2 & ~IN6 | \
+ \ WRES10 & WRES4 & IN1 | \
+ \ WRES12 & IN5 & ~IN2 | \
+ \ WRES13 & ~WRES5 | \
+ \ WRES14 & ~WRES6 | \
+ \ WRES15 & WRES1 | \
+ \ WRES16 & ~IN5 | \
+ \ WRES17 & ~WRES6 & IN0) & \
+ \ (OUT0 <-> \
+ \ WRES6 & IN4 & ~IN1 & IN0 | \
+ \ WRES9 & ~WRES1 | \
+ \ WRES12 & ~WRES10 | \
+ \ WRES16 & WRES7 | \
+ \ WRES18 & WRES0 & ~IN5 | \
+ \ WRES19)";
+ by (svc_tac 1);
+ result();
+
+
(** Linear arithmetic **)
Goal "x ~= #14 & x ~= #13 & x ~= #12 & x ~= #11 & x ~= #10 & x ~= #9 & \