%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP069^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:34 AM UTC 2026
% Result : Theorem 256.88s 36.58s
% Output : Refutation 256.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP069^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.27 % Computer : n015.cluster.edu
% 0.22/0.27 % Model : x86_64 x86_64
% 0.22/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.27 % Memory : 8046.5625MB
% 0.22/0.27 % OS : Linux 6.8.0-71-generic
% 0.22/0.28 % CPULimit : 300
% 0.22/0.28 % WCLimit : 300
% 0.22/0.28 % DateTime : Tue Sep 29 19:49:49 UTC 2026
% 0.22/0.28 % CPUTime :
% 0.22/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.33 Running first-order model finding
% 0.22/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.48/1.79 % (4023092)Will run a generic schedule for satisfiability detection.
% 7.48/1.79 % (4023099)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3951039365:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.48/1.79 % (4023097)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3723363631_2999 on theBenchmark for (2999ds/0Mi)
% 7.48/1.79 % (4023098)% WARNING: option uhcvi not known.
% 7.48/1.79 % (4023098)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1457678437:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.48/1.79 % (4023102)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3918069588:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.48/1.79 % (4023103)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=534588881:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.48/1.79 % (4023100)dis+10_1_sil=32000:sp=arity:random_seed=1135718458:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.48/1.79 % (4023101)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1536692518:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.48/1.79 % (4023098)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.48/1.79 % (4023101)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.48/1.79 % Exception at run slice level
% 7.48/1.79 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.48/1.79 % (4023100)Instruction limit reached!
% 7.48/1.79 % (4023100)------------------------------
% 7.48/1.79 % (4023100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.79 % (4023100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.79 % (4023100)CaDiCaL version: 2.1.3
% 7.48/1.79 % (4023100)Termination reason: Instruction limit
% 7.48/1.79 % (4023100)Termination phase: Property scanning
% 7.48/1.79 % (4023100)Time elapsed: 0.083 s
% 7.48/1.79 % (4023100)Peak memory usage: 12 MB
% 7.48/1.79 % (4023100)Instructions burned: 104 (million)
% 7.48/1.79 % (4023111)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2633429805:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.48/1.79 % (4023101)Instruction limit reached!
% 7.48/1.79 % (4023101)------------------------------
% 7.48/1.79 % (4023101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.79 % (4023101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.79 % (4023101)CaDiCaL version: 2.1.3
% 7.48/1.79 % (4023101)Termination reason: Instruction limit
% 7.48/1.79 % (4023101)Termination phase: Property scanning
% 7.48/1.79 % (4023101)Time elapsed: 0.092 s
% 7.48/1.79 % (4023101)Peak memory usage: 12 MB
% 7.48/1.79 % (4023101)Instructions burned: 116 (million)
% 7.48/1.79 % (4023098)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.48/1.79 % (4023102)Instruction limit reached!
% 7.48/1.79 % (4023102)------------------------------
% 7.48/1.79 % (4023102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.79 % (4023102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.79 % (4023102)CaDiCaL version: 2.1.3
% 7.48/1.79 % (4023102)Termination reason: Instruction limit
% 7.48/1.79 % (4023102)Termination phase: Saturation
% 7.48/1.79 % (4023102)Time elapsed: 0.104 s
% 7.48/1.79 % (4023102)Peak memory usage: 13 MB
% 7.48/1.79 % (4023102)Instructions burned: 131 (million)
% 7.48/1.79 % (4023113)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3303756490:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.48/1.79 % (4023115)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2557580497:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.48/1.79 % (4023117)ott-21_1_sil=16000:fs=off:random_seed=4231126037:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.48/1.79 % (4023103)Instruction limit reached!
% 7.48/1.79 % (4023103)------------------------------
% 7.48/1.79 % (4023103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.79 % (4023103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.79 % (4023103)CaDiCaL version: 2.1.3
% 7.48/1.79 % (4023103)Termination reason: Instruction limit
% 36.57/5.50 % (4023103)Termination phase: Saturation
% 36.57/5.50 % (4023103)Time elapsed: 0.128 s
% 36.57/5.50 % (4023103)Peak memory usage: 13 MB
% 36.57/5.50 % (4023103)Instructions burned: 160 (million)
% 36.57/5.50 % (4023121)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=886801830:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 36.57/5.50 % (4023115)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 36.57/5.50 % Exception at run slice level
% 36.57/5.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 36.57/5.50 % (4023113)Instruction limit reached!
% 36.57/5.50 % (4023113)------------------------------
% 36.57/5.50 % (4023113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.57/5.50 % (4023113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/5.50 % (4023113)CaDiCaL version: 2.1.3
% 36.57/5.50 % (4023113)Termination reason: Instruction limit
% 36.57/5.50 % (4023113)Termination phase: Saturation
% 36.57/5.50 % (4023113)Time elapsed: 0.104 s
% 36.57/5.50 % (4023113)Peak memory usage: 13 MB
% 36.57/5.50 % (4023113)Instructions burned: 132 (million)
% 36.57/5.50 % (4023123)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=616557429:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 36.57/5.50 % (4023115)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 36.57/5.50 % (4023124)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4236509957:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 36.57/5.50 % (4023117)Instruction limit reached!
% 36.57/5.50 % (4023117)------------------------------
% 36.57/5.50 % (4023117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.57/5.50 % (4023117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/5.50 % (4023117)CaDiCaL version: 2.1.3
% 36.57/5.50 % (4023117)Termination reason: Instruction limit
% 36.57/5.50 % (4023117)Termination phase: Saturation
% 36.57/5.50 % (4023117)Time elapsed: 0.145 s
% 36.57/5.50 % (4023117)Peak memory usage: 13 MB
% 36.57/5.50 % (4023117)Instructions burned: 181 (million)
% 36.57/5.50 % (4023127)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2940874353:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 36.57/5.50 % Exception at run slice level
% 36.57/5.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 36.57/5.50 % (4023129)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3753285030:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 36.57/5.50 % (4023129)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 36.57/5.50 % Exception at run slice level
% 36.57/5.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 36.57/5.50 % (4023131)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2922013150:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 36.57/5.50 % (4023131)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 36.57/5.50 % (4023121)Instruction limit reached!
% 36.57/5.50 % (4023121)------------------------------
% 36.57/5.50 % (4023121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.57/5.50 % (4023121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/5.50 % (4023121)CaDiCaL version: 2.1.3
% 36.57/5.50 % (4023121)Termination reason: Instruction limit
% 36.57/5.50 % (4023121)Termination phase: Saturation
% 36.57/5.50 % (4023121)Time elapsed: 0.397 s
% 36.57/5.50 % (4023121)Peak memory usage: 15 MB
% 36.57/5.50 % (4023121)Instructions burned: 477 (million)
% 36.57/5.50 % (4023137)fmb+10_1_sil=64000:random_seed=3282161071:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 36.57/5.50 % (4023137)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 36.57/5.50 % Exception at run slice level
% 36.57/5.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 36.57/5.50 % (4023115)Instruction limit reached!
% 36.57/5.50 % (4023115)------------------------------
% 36.57/5.50 % (4023115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.57/5.50 % (4023115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.04/13.33 % (4023115)CaDiCaL version: 2.1.3
% 92.04/13.33 % (4023115)Termination reason: Instruction limit
% 92.04/13.33 % (4023115)Termination phase: Saturation
% 92.04/13.33 % (4023115)Time elapsed: 0.613 s
% 92.04/13.33 % (4023115)Peak memory usage: 18 MB
% 92.04/13.33 % (4023115)Instructions burned: 684 (million)
% 92.04/13.33 % (4023142)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3946193311:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 92.04/13.33 % (4023143)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3651224113:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 92.04/13.33 % Exception at run slice level
% 92.04/13.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 92.04/13.33 % Exception at run slice level
% 92.04/13.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 92.04/13.33 % (4023150)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1053031780:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 92.04/13.33 % (4023149)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1341423130:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 92.04/13.33 % (4023150)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 92.04/13.33 % (4023150)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 92.04/13.33 % (4023149)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 92.04/13.33 % (4023129)Instruction limit reached!
% 92.04/13.33 % (4023129)------------------------------
% 92.04/13.33 % (4023129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.04/13.33 % (4023129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.04/13.33 % (4023129)CaDiCaL version: 2.1.3
% 92.04/13.33 % (4023129)Termination reason: Instruction limit
% 92.04/13.33 % (4023129)Termination phase: Saturation
% 92.04/13.33 % (4023129)Time elapsed: 0.610 s
% 92.04/13.33 % (4023129)Peak memory usage: 17 MB
% 92.04/13.33 % (4023129)Instructions burned: 693 (million)
% 92.04/13.33 % (4023155)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2848065716:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 92.04/13.33 % Exception at run slice level
% 92.04/13.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 92.04/13.33 % (4023160)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2052092404:fmbsr=2.30978:i=2174_2988 on theBenchmark for (2988ds/2174Mi)
% 92.04/13.33 % Exception at run slice level
% 92.04/13.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 92.04/13.33 % (4023131)Instruction limit reached!
% 92.04/13.33 % (4023131)------------------------------
% 92.04/13.33 % (4023131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.04/13.33 % (4023131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.04/13.33 % (4023131)CaDiCaL version: 2.1.3
% 92.04/13.33 % (4023131)Termination reason: Instruction limit
% 92.04/13.33 % (4023131)Termination phase: Saturation
% 92.04/13.33 % (4023131)Time elapsed: 0.765 s
% 92.04/13.33 % (4023131)Peak memory usage: 19 MB
% 92.04/13.33 % (4023131)Instructions burned: 879 (million)
% 92.04/13.33 % (4023165)ott-2_1_sil=16000:newcnf=on:random_seed=2591030339:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2987 on theBenchmark for (2987ds/869Mi)
% 92.04/13.33 % (4023166)ott+10_1_sil=32000:tgt=ground:random_seed=2917700715:i=5114:av=off_2987 on theBenchmark for (2987ds/5114Mi)
% 92.04/13.33 % (4023165)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 92.04/13.33 % (4023124)Instruction limit reached!
% 92.04/13.33 % (4023124)------------------------------
% 92.04/13.33 % (4023124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.04/13.33 % (4023124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.04/13.33 % (4023124)CaDiCaL version: 2.1.3
% 92.04/13.33 % (4023124)Termination reason: Instruction limit
% 92.04/13.33 % (4023124)Termination phase: Saturation
% 92.04/13.33 % (4023124)Time elapsed: 1.037 s
% 92.04/13.33 % (4023124)Peak memory usage: 21 MB
% 92.04/13.33 % (4023124)Instructions burned: 1179 (million)
% 92.04/13.33 % (4023169)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1516983075:i=54282_2986 on theBenchmark for (2986ds/54282Mi)
% 92.04/13.33 % Exception at run slice level
% 196.92/28.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 196.92/28.11 % (4023171)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3637599789:i=3512:aac=none_2985 on theBenchmark for (2985ds/3512Mi)
% 196.92/28.11 % (4023171)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 196.92/28.11 % (4023165)Instruction limit reached!
% 196.92/28.11 % (4023165)------------------------------
% 196.92/28.11 % (4023165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 196.92/28.11 % (4023165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 196.92/28.11 % (4023165)CaDiCaL version: 2.1.3
% 196.92/28.11 % (4023165)Termination reason: Instruction limit
% 196.92/28.11 % (4023165)Termination phase: Saturation
% 196.92/28.11 % (4023165)Time elapsed: 0.745 s
% 196.92/28.11 % (4023165)Peak memory usage: 17 MB
% 196.92/28.11 % (4023165)Instructions burned: 869 (million)
% 196.92/28.11 % (4023173)dis+21_1_sil=32000:sas=cadical:random_seed=2275724278:i=3773:amm=off_2979 on theBenchmark for (2979ds/3773Mi)
% 196.92/28.11 % (4023150)Instruction limit reached!
% 196.92/28.11 % (4023150)------------------------------
% 196.92/28.11 % (4023150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 196.92/28.11 % (4023150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 196.92/28.11 % (4023150)CaDiCaL version: 2.1.3
% 196.92/28.11 % (4023150)Termination reason: Instruction limit
% 196.92/28.11 % (4023150)Termination phase: Saturation
% 196.92/28.11 % (4023150)Time elapsed: 1.241 s
% 196.92/28.11 % (4023150)Peak memory usage: 19 MB
% 196.92/28.11 % (4023150)Instructions burned: 1473 (million)
% 196.92/28.11 % (4023175)ott+11_1_sil=16000:gs=on:random_seed=908871151:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2978 on theBenchmark for (2978ds/2251Mi)
% 196.92/28.11 % (4023175)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 196.92/28.11 % (4023175)Instruction limit reached!
% 196.92/28.11 % (4023175)------------------------------
% 196.92/28.11 % (4023175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 196.92/28.11 % (4023175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 196.92/28.11 % (4023175)CaDiCaL version: 2.1.3
% 196.92/28.11 % (4023175)Termination reason: Instruction limit
% 196.92/28.11 % (4023175)Termination phase: Saturation
% 196.92/28.11 % (4023175)Time elapsed: 1.929 s
% 196.92/28.11 % (4023175)Peak memory usage: 23 MB
% 196.92/28.11 % (4023175)Instructions burned: 2252 (million)
% 196.92/28.11 % (4023177)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3781823659:fmbsr=1.6:i=67534_2958 on theBenchmark for (2958ds/67534Mi)
% 196.92/28.11 % Exception at run slice level
% 196.92/28.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 196.92/28.11 % (4023179)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=4204091385:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2957 on theBenchmark for (2957ds/4591Mi)
% 196.92/28.11 % (4023171)Instruction limit reached!
% 196.92/28.11 % (4023171)------------------------------
% 196.92/28.11 % (4023171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 196.92/28.11 % (4023171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 196.92/28.11 % (4023171)CaDiCaL version: 2.1.3
% 196.92/28.11 % (4023171)Termination reason: Instruction limit
% 196.92/28.11 % (4023171)Termination phase: Saturation
% 196.92/28.11 % (4023171)Time elapsed: 2.973 s
% 196.92/28.11 % (4023171)Peak memory usage: 28 MB
% 196.92/28.11 % (4023171)Instructions burned: 3513 (million)
% 196.92/28.11 % (4023181)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1578958417:i=29340_2955 on theBenchmark for (2955ds/29340Mi)
% 196.92/28.11 % (4023173)Instruction limit reached!
% 196.92/28.11 % (4023173)------------------------------
% 196.92/28.11 % (4023173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 196.92/28.11 % (4023173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 196.92/28.11 % (4023173)CaDiCaL version: 2.1.3
% 196.92/28.11 % (4023173)Termination reason: Instruction limit
% 196.92/28.11 % (4023173)Termination phase: Saturation
% 196.92/28.11 % (4023173)Time elapsed: 3.082 s
% 196.92/28.11 % (4023173)Peak memory usage: 25 MB
% 196.92/28.11 % (4023173)Instructions burned: 3773 (million)
% 196.92/28.11 % (4023183)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3444108971:i=5211_2948 on theBenchmark for (2948ds/5211Mi)
% 253.70/36.07 % (4023149)Instruction limit reached!
% 253.70/36.07 % (4023149)------------------------------
% 253.70/36.07 % (4023149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 253.70/36.07 % (4023149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 253.70/36.07 % (4023149)CaDiCaL version: 2.1.3
% 253.70/36.07 % (4023149)Termination reason: Instruction limit
% 253.70/36.07 % (4023149)Termination phase: Saturation
% 253.70/36.07 % (4023149)Time elapsed: 4.412 s
% 253.70/36.07 % (4023149)Peak memory usage: 41 MB
% 253.70/36.07 % (4023149)Instructions burned: 5132 (million)
% 253.70/36.07 % (4023185)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1029930617:i=5497:nm=2_2946 on theBenchmark for (2946ds/5497Mi)
% 253.70/36.07 % Exception at run slice level
% 253.70/36.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 253.70/36.07 % (4023187)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2784172769:fmbsr=2:i=46332_2944 on theBenchmark for (2944ds/46332Mi)
% 253.70/36.07 % Exception at run slice level
% 253.70/36.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 253.70/36.07 % (4023189)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2031170959:i=14071_2943 on theBenchmark for (2943ds/14071Mi)
% 253.70/36.07 % (4023166)Instruction limit reached!
% 253.70/36.07 % (4023166)------------------------------
% 253.70/36.07 % (4023166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 253.70/36.07 % (4023166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 253.70/36.07 % (4023166)CaDiCaL version: 2.1.3
% 253.70/36.07 % (4023166)Termination reason: Instruction limit
% 253.70/36.07 % (4023166)Termination phase: Saturation
% 253.70/36.07 % (4023166)Time elapsed: 4.396 s
% 253.70/36.07 % (4023166)Peak memory usage: 48 MB
% 253.70/36.07 % (4023166)Instructions burned: 5115 (million)
% 253.70/36.07 % (4023191)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1474576984:i=22565:add=on:rawr=on_2942 on theBenchmark for (2942ds/22565Mi)
% 253.70/36.07 % Exception at run slice level
% 253.70/36.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 253.70/36.07 % (4023193)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2139560374:i=8173:av=off_2942 on theBenchmark for (2942ds/8173Mi)
% 253.70/36.07 % (4023179)Instruction limit reached!
% 253.70/36.07 % (4023179)------------------------------
% 253.70/36.07 % (4023179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 253.70/36.07 % (4023179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 253.70/36.07 % (4023179)CaDiCaL version: 2.1.3
% 253.70/36.07 % (4023179)Termination reason: Instruction limit
% 253.70/36.07 % (4023179)Termination phase: Saturation
% 253.70/36.07 % (4023179)Time elapsed: 4.266 s
% 253.70/36.07 % (4023179)Peak memory usage: 38 MB
% 253.70/36.07 % (4023179)Instructions burned: 4591 (million)
% 253.70/36.07 % (4023197)dis+10_16:1_sil=16000:random_seed=3400075927:i=9155:fsr=off_2914 on theBenchmark for (2914ds/9155Mi)
% 253.70/36.07 % (4023183)Instruction limit reached!
% 253.70/36.07 % (4023183)------------------------------
% 253.70/36.07 % (4023183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 253.70/36.07 % (4023183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 253.70/36.07 % (4023183)CaDiCaL version: 2.1.3
% 253.70/36.07 % (4023183)Termination reason: Instruction limit
% 253.70/36.07 % (4023183)Termination phase: Saturation
% 253.70/36.07 % (4023183)Time elapsed: 4.434 s
% 253.70/36.07 % (4023183)Peak memory usage: 49 MB
% 253.70/36.07 % (4023183)Instructions burned: 5211 (million)
% 253.70/36.07 % (4023199)ott-3_8_sil=64000:random_seed=3249239894:i=20139:bs=on_2903 on theBenchmark for (2903ds/20139Mi)
% 253.70/36.07 % (4023193)Instruction limit reached!
% 253.70/36.07 % (4023193)------------------------------
% 253.70/36.07 % (4023193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 253.70/36.07 % (4023193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 253.70/36.07 % (4023193)CaDiCaL version: 2.1.3
% 253.70/36.07 % (4023193)Termination reason: Instruction limit
% 253.70/36.07 % (4023193)Termination phase: Saturation
% 253.70/36.07 % (4023193)Time elapsed: 7.106 s
% 253.70/36.07 % (4023193)Peak memory usage: 81 MB
% 253.70/36.07 % (4023193)Instructions burned: 8173 (million)
% 253.70/36.07 % (4023203)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3514442565:fmbsr=2:i=32576_2870 on theBenchmark for (2870ds/32576Mi)
% 256.88/36.58 % Exception at run slice level
% 256.88/36.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 256.88/36.58 % (4023207)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=854764907:i=11404_2869 on theBenchmark for (2869ds/11404Mi)
% 256.88/36.58 % (4023197)Instruction limit reached!
% 256.88/36.58 % (4023197)------------------------------
% 256.88/36.58 % (4023197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.58 % (4023197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.58 % (4023197)CaDiCaL version: 2.1.3
% 256.88/36.58 % (4023197)Termination reason: Instruction limit
% 256.88/36.58 % (4023197)Termination phase: Saturation
% 256.88/36.58 % (4023197)Time elapsed: 7.652 s
% 256.88/36.58 % (4023197)Peak memory usage: 54 MB
% 256.88/36.58 % (4023197)Instructions burned: 9156 (million)
% 256.88/36.58 % (4023234)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=3692861056:i=14134_2837 on theBenchmark for (2837ds/14134Mi)
% 256.88/36.58 % (4023234)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 256.88/36.58 % (4023207)Instruction limit reached!
% 256.88/36.58 % (4023207)------------------------------
% 256.88/36.58 % (4023207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.58 % (4023207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.58 % (4023207)CaDiCaL version: 2.1.3
% 256.88/36.58 % (4023207)Termination reason: Instruction limit
% 256.88/36.58 % (4023207)Termination phase: Saturation
% 256.88/36.58 % (4023207)Time elapsed: 9.377 s
% 256.88/36.58 % (4023207)Peak memory usage: 94 MB
% 256.88/36.58 % (4023207)Instructions burned: 11404 (million)
% 256.88/36.58 % (4023259)dis+33_16_sil=32000:sac=on:random_seed=425315999:i=15851:nm=0_2774 on theBenchmark for (2774ds/15851Mi)
% 256.88/36.58 % (4023191)Instruction limit reached!
% 256.88/36.58 % (4023191)------------------------------
% 256.88/36.58 % (4023191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.58 % (4023191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.58 % (4023191)CaDiCaL version: 2.1.3
% 256.88/36.58 % (4023191)Termination reason: Instruction limit
% 256.88/36.58 % (4023191)Termination phase: Saturation
% 256.88/36.58 % (4023191)Time elapsed: 19.327 s
% 256.88/36.58 % (4023191)Peak memory usage: 62 MB
% 256.88/36.58 % (4023191)Instructions burned: 22565 (million)
% 256.88/36.58 % (4023265)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=3155487776:avsq=on:i=17627:add=on:amm=off_2749 on theBenchmark for (2749ds/17627Mi)
% 256.88/36.58 % (4023181)Instruction limit reached!
% 256.88/36.58 % (4023181)------------------------------
% 256.88/36.58 % (4023181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.58 % (4023181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.58 % (4023181)CaDiCaL version: 2.1.3
% 256.88/36.58 % (4023181)Termination reason: Instruction limit
% 256.88/36.58 % (4023181)Termination phase: Saturation
% 256.88/36.58 % (4023181)Time elapsed: 22.665 s
% 256.88/36.58 % (4023181)Peak memory usage: 63 MB
% 256.88/36.58 % (4023181)Instructions burned: 29340 (million)
% 256.88/36.58 % (4023271)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=2882076670:s2a=on:i=53295_2728 on theBenchmark for (2728ds/53295Mi)
% 256.88/36.58 % (4023199)Instruction limit reached!
% 256.88/36.58 % (4023199)------------------------------
% 256.88/36.58 % (4023199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.58 % (4023199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.58 % (4023199)CaDiCaL version: 2.1.3
% 256.88/36.58 % (4023199)Termination reason: Instruction limit
% 256.88/36.58 % (4023199)Termination phase: Saturation
% 256.88/36.58 % (4023199)Time elapsed: 17.922 s
% 256.88/36.58 % (4023199)Peak memory usage: 98 MB
% 256.88/36.58 % (4023199)Instructions burned: 20141 (million)
% 256.88/36.58 % (4023316)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=3332636544:i=26857:ins=20_2724 on theBenchmark for (2724ds/26857Mi)
% 256.88/36.58 % Exception at run slice level
% 256.88/36.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 256.88/36.58 % (4023333)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=3796445213:i=28120:bs=on:fsr=off_2723 on theBenchmark for (2723ds/28120Mi)
% 256.88/36.58 % (4023234)Instruction limit reached!
% 256.88/36.58 % (4023234)------------------------------
% 256.88/36.58 % (4023234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.58 % (4023234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.58 % (4023234)CaDiCaL version: 2.1.3
% 256.88/36.58 % (4023234)Termination reason: Instruction limit
% 256.88/36.58 % (4023234)Termination phase: Saturation
% 256.88/36.58 % (4023234)Time elapsed: 11.480 s
% 256.88/36.58 % (4023234)Peak memory usage: 111 MB
% 256.88/36.58 % (4023234)Instructions burned: 14135 (million)
% 256.88/36.58 % (4023366)fmb+10_1_sil=256000:fmbss=7:random_seed=263752519:fmbsr=1.6:i=182295_2722 on theBenchmark for (2722ds/182295Mi)
% 256.88/36.58 % Exception at run slice level
% 256.88/36.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 256.88/36.58 % (4023377)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=3944070515:i=44625:gsp=on_2721 on theBenchmark for (2721ds/44625Mi)
% 256.88/36.58 % (4023377)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 256.88/36.58 % (4023377)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 256.88/36.58 % Exception at run slice level
% 256.88/36.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 256.88/36.58 % (4023391)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=1535982290:i=160505_2720 on theBenchmark for (2720ds/160505Mi)
% 256.88/36.58 % Exception at run slice level
% 256.88/36.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 256.88/36.58 % (4023393)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=2378152371:fmbsr=1.3:i=225729_2719 on theBenchmark for (2719ds/225729Mi)
% 256.88/36.58 % Exception at run slice level
% 256.88/36.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 256.88/36.58 % (4023395)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=2131781374:fmbsr=2:i=185024:ins=7_2719 on theBenchmark for (2719ds/185024Mi)
% 256.88/36.58 % Exception at run slice level
% 256.88/36.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 256.88/36.58 % (4023402)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=742874211:rtra=on_2718 on theBenchmark for (2718ds/0Mi)
% 256.88/36.58 % Exception at run slice level
% 256.88/36.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 256.88/36.58 % (4023425)% WARNING: option uhcvi not known.
% 256.88/36.58 % (4023425)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=830496479:i=271062:add=off:rtra=on:rawr=on_2717 on theBenchmark for (2717ds/271062Mi)
% 256.88/36.58 % (4023425)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 256.88/36.58 % (4023425)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 256.88/36.58 % (4023259)Instruction limit reached!
% 256.88/36.58 % (4023259)------------------------------
% 256.88/36.58 % (4023259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.58 % (4023259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.58 % (4023259)CaDiCaL version: 2.1.3
% 256.88/36.58 % (4023259)Termination reason: Instruction limit
% 256.88/36.58 % (4023259)Termination phase: Saturation
% 256.88/36.58 % (4023259)Time elapsed: 10.112 s
% 256.88/36.58 % (4023259)Peak memory usage: 106 MB
% 256.88/36.58 % (4023259)Instructions burned: 15851 (million)
% 256.88/36.58 % (4023448)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4193414151:i=176048:add=on:rtra=on:rawr=on_2673 on theBenchmark for (2673ds/176048Mi)
% 256.88/36.58 % (4023265)Instruction limit reached!
% 256.88/36.58 % (4023265)------------------------------
% 256.88/36.58 % (4023265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.58 % (4023265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.58 % (4023265)CaDiCaL version: 2.1.3
% 256.88/36.58 % (4023265)Termination reason: Instruction limit
% 256.88/36.58 % (4023265)Termination phase: Saturation
% 256.88/36.58 % (4023265)Time elapsed: 10.495 s
% 256.88/36.58 % (4023265)Peak memory usage: 67 MB
% 256.88/36.58 % (4023265)Instructions burned: 17627 (million)
% 256.88/36.58 % (4023450)dis+10_1_sil=32000:si=on:sp=arity:random_seed=2030629050:i=206:fgj=on:rtra=on_2643 on theBenchmark for (2643ds/206Mi)
% 256.88/36.58 % (4023450)Instruction limit reached!
% 256.88/36.58 % (4023450)------------------------------
% 256.88/36.58 % (4023450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.58 % (4023450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.58 % (4023450)CaDiCaL version: 2.1.3
% 256.88/36.58 % (4023450)Termination reason: Instruction limit
% 256.88/36.58 % (4023450)Termination phase: Saturation
% 256.88/36.58 % (4023450)Time elapsed: 0.100 s
% 256.88/36.58 % (4023450)Peak memory usage: 14 MB
% 256.88/36.58 % (4023450)Instructions burned: 208 (million)
% 256.88/36.58 % (4023452)ott+31_1_sil=16000:si=on:lcm=predicate:bce=on:newcnf=on:random_seed=3598736960:i=232:rtra=on_2642 on theBenchmark for (2642ds/232Mi)
% 256.88/36.58 % (4023452)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 256.88/36.58 % (4023452)Instruction limit reached!
% 256.88/36.58 % (4023452)------------------------------
% 256.88/36.58 % (4023452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.58 % (4023452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.58 % (4023452)CaDiCaL version: 2.1.3
% 256.88/36.58 % (4023452)Termination reason: Instruction limit
% 256.88/36.58 % (4023452)Termination phase: Saturation
% 256.88/36.58 % (4023452)Time elapsed: 0.111 s
% 256.88/36.58 % (4023452)Peak memory usage: 15 MB
% 256.88/36.58 % (4023452)Instructions burned: 234 (million)
% 256.88/36.58 % (4023454)ott+1_1_to=lpo:sil=16000:si=on:sp=reverse_arity:erd=off:random_seed=2952212449:i=262:rtra=on_2641 on theBenchmark for (2641ds/262Mi)
% 256.88/36.58 % (4023454)Instruction limit reached!
% 256.88/36.58 % (4023454)------------------------------
% 256.88/36.58 % (4023454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.58 % (4023454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.58 % (4023454)CaDiCaL version: 2.1.3
% 256.88/36.58 % (4023454)Termination reason: Instruction limit
% 256.88/36.58 % (4023454)Termination phase: Saturation
% 256.88/36.58 % (4023454)Time elapsed: 0.128 s
% 256.88/36.58 % (4023454)Peak memory usage: 15 MB
% 256.88/36.58 % (4023454)Instructions burned: 262 (million)
% 256.88/36.58 % (4023456)ott-3_16_to=lpo:sil=16000:si=on:sp=arity:fd=off:rp=on:random_seed=2163701196:i=318:bs=unit_only:nicw=on:fsr=off:rtra=on:amm=off_2639 on theBenchmark for (2639ds/318Mi)
% 256.88/36.58 % (4023271) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4023092-4023271"...
% 256.88/36.58 % (4023271)...printing done.
% 256.88/36.58 % (4023456)Instruction limit reached!
% 256.88/36.58 % (4023456)------------------------------
% 256.88/36.58 % (4023456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.58 % (4023456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.58 % (4023456)CaDiCaL version: 2.1.3
% 256.88/36.58 % (4023456)Termination reason: Instruction limit
% 256.88/36.58 % (4023456)Termination phase: Saturation
% 256.88/36.58 % (4023456)Time elapsed: 0.162 s
% 256.88/36.58 % (4023456)Peak memory usage: 16 MB
% 256.88/36.58 % (4023456)Instructions burned: 319 (million)
% 256.88/36.58 % (4023271)Refutation found. Thanks to Tanya!
% 256.88/36.58 % SZS status Theorem for theBenchmark
% 256.88/36.58 % SZS output start Proof for theBenchmark
% 256.88/36.58 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 256.88/36.58 thf(type_def_6, type, multiset: $tType > $tType).
% 256.88/36.58 thf(type_def_7, type, list: $tType > $tType).
% 256.88/36.58 thf(type_def_8, type, tree: $tType > $tType).
% 256.88/36.58 thf(type_def_9, type, set: $tType > $tType).
% 256.88/36.58 thf(type_def_10, type, a: $tType).
% 256.88/36.58 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 256.88/36.58 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_2, type, order: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_3, type, linorder: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_4, type, preorder: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_5, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_6, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_7, type, ordere216010020id_add: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_8, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_9, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_10, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_11, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_12, type, ordere623563068d_diff: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_13, type, unique1598680935umeral: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_14, type, ordere516151231imp_le: !>[X0: $tType]:($o)).
% 256.88/36.58 thf(func_def_15, type, bNF_Ca1785829860lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 256.88/36.58 thf(func_def_16, type, unique455577585es_aux: !>[X0: $tType]:((product_prod @ X0 @ X0 > $o))).
% 256.88/36.58 thf(func_def_17, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 256.88/36.58 thf(func_def_18, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 256.88/36.58 thf(func_def_19, type, zero_zero: !>[X0: $tType]:(X0)).
% 256.88/36.58 thf(func_def_20, type, nO_MATCH: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 256.88/36.58 thf(func_def_21, type, heapIm818251801eapify: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_22, type, heapIm1271749598e_left: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_23, type, heapIm1434396069_right: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_24, type, heapIm748920189ftDown: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_25, type, heap: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > tree @ X1) > (X0 > product_prod @ X1 @ X0) > $o))).
% 256.88/36.58 thf(func_def_26, type, heap_axioms: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > tree @ X1) > (X0 > product_prod @ X1 @ X0) > $o))).
% 256.88/36.58 thf(func_def_27, type, e: !>[X0: $tType]:(tree @ X0)).
% 256.88/36.58 thf(func_def_28, type, t: !>[X0: $tType]:((X0 > tree @ X0 > tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_29, type, case_Tree: !>[X0: $tType, X1: $tType]:((X0 > (X1 > tree @ X1 > tree @ X1 > X0) > tree @ X1 > X0))).
% 256.88/36.58 thf(func_def_30, type, rec_Tree: !>[X0: $tType, X1: $tType]:((X0 > (X1 > tree @ X1 > tree @ X1 > X0 > X0 > X0) > tree @ X1 > X0))).
% 256.88/36.58 thf(func_def_31, type, in_tree: !>[X0: $tType]:((X0 > tree @ X0 > $o))).
% 256.88/36.58 thf(func_def_32, type, is_heap: !>[X0: $tType]:((tree @ X0 > $o))).
% 256.88/36.58 thf(func_def_33, type, multiset2: !>[X0: $tType]:((tree @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_34, type, val: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_35, type, lattic929149872er_Max: !>[X0: $tType]:((set @ X0 > X0))).
% 256.88/36.58 thf(func_def_36, type, add_mset: !>[X0: $tType]:((X0 > multiset @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_37, type, comm_monoid_sum_mset: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > multiset @ X0 > X0))).
% 256.88/36.58 thf(func_def_38, type, fold_mset: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > multiset @ X0 > X1))).
% 256.88/36.58 thf(func_def_39, type, is_empty: !>[X0: $tType]:((multiset @ X0 > $o))).
% 256.88/36.58 thf(func_def_40, type, mult: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ multiset @ X0 @ multiset @ X0))).
% 256.88/36.58 thf(func_def_41, type, mult1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ multiset @ X0 @ multiset @ X0))).
% 256.88/36.58 thf(func_def_42, type, multp: !>[X0: $tType]:(((X0 > X0 > $o) > multiset @ X0 > multiset @ X0 > $o))).
% 256.88/36.58 thf(func_def_43, type, set_mset: !>[X0: $tType]:((multiset @ X0 > set @ X0))).
% 256.88/36.58 thf(func_def_44, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 256.88/36.58 thf(func_def_45, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_46, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 256.88/36.58 thf(func_def_47, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 256.88/36.58 thf(func_def_48, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 256.88/36.58 thf(func_def_49, type, irrefl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 256.88/36.58 thf(func_def_50, type, trans: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 256.88/36.58 thf(func_def_51, type, collection: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > $o))).
% 256.88/36.58 thf(func_def_52, type, set2: !>[X0: $tType, X1: $tType]:(((X0 > multiset @ X1) > X0 > set @ X1))).
% 256.88/36.58 thf(func_def_53, type, removeMax: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > product_prod @ X1 @ X0) > (X0 > $o) > $o))).
% 256.88/36.58 thf(func_def_54, type, removeMax_axioms: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > product_prod @ X1 @ X0) > (X0 > $o) > $o))).
% 256.88/36.58 thf(func_def_55, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 256.88/36.58 thf(func_def_56, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 256.88/36.58 thf(func_def_57, type, l: tree @ a).
% 256.88/36.58 thf(func_def_58, type, r: tree @ a).
% 256.88/36.58 thf(func_def_59, type, v: a).
% 256.88/36.58 thf(func_def_63, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 256.88/36.58 thf(func_def_64, type, vAND: ($o > $o > $o)).
% 256.88/36.58 thf(func_def_65, type, vOR: ($o > $o > $o)).
% 256.88/36.58 thf(func_def_66, type, db1: !>[X0: $tType]:(X0)).
% 256.88/36.58 thf(func_def_67, type, db0: !>[X0: $tType]:(X0)).
% 256.88/36.58 thf(func_def_68, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 256.88/36.58 thf(func_def_69, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 256.88/36.58 thf(func_def_70, type, db3: !>[X0: $tType]:(X0)).
% 256.88/36.58 thf(func_def_71, type, db2: !>[X0: $tType]:(X0)).
% 256.88/36.58 thf(func_def_72, type, db4: !>[X0: $tType]:(X0)).
% 256.88/36.58 thf(func_def_73, type, db5: !>[X0: $tType]:(X0)).
% 256.88/36.58 thf(func_def_74, type, vIMP: ($o > $o > $o)).
% 256.88/36.58 thf(func_def_75, type, vNOT: ($o > $o)).
% 256.88/36.58 thf(func_def_76, type, db7: !>[X0: $tType]:(X0)).
% 256.88/36.58 thf(func_def_77, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 256.88/36.58 thf(func_def_78, type, sP0: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > tree @ X0) > $o))).
% 256.88/36.58 thf(func_def_79, type, sP1: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > $o))).
% 256.88/36.58 thf(func_def_80, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 256.88/36.58 thf(func_def_81, type, sP3: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 256.88/36.58 thf(func_def_82, type, sP4: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 256.88/36.58 thf(func_def_83, type, sP5: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > $o))).
% 256.88/36.58 thf(func_def_84, type, sP6: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > $o))).
% 256.88/36.58 thf(func_def_85, type, sK7: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_86, type, sK8: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_87, type, sK9: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_88, type, sK10: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_89, type, sK11: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_90, type, sK12: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_91, type, sK13: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_92, type, sK14: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_93, type, sK15: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_94, type, sK16: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_95, type, sK17: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_96, type, sK18: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_97, type, sK19: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_98, type, sK20: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_99, type, sK21: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_100, type, sK22: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_101, type, sK23: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_102, type, sK24: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_103, type, sK25: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_104, type, sK26: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_105, type, sK27: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_106, type, sK28: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_107, type, sK29: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_108, type, sK30: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_109, type, sK31: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_110, type, sK32: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_111, type, sK33: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_112, type, sK34: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_113, type, sK35: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_114, type, sK36: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_115, type, sK37: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_116, type, sK38: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_117, type, sK39: !>[X0: $tType]:((tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_118, type, sK40: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_119, type, sK41: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_120, type, sK42: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_121, type, sK43: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 256.88/36.58 thf(func_def_122, type, sK44: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 256.88/36.58 thf(func_def_123, type, sK45: !>[X0: $tType]:((X0 > tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_124, type, sK46: !>[X0: $tType]:((X0 > tree @ X0 > X0))).
% 256.88/36.58 thf(func_def_125, type, sK47: !>[X0: $tType]:((X0 > tree @ X0 > tree @ X0))).
% 256.88/36.58 thf(func_def_126, type, sK48: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_127, type, sK49: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 256.88/36.58 thf(func_def_128, type, sK50: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > X1))).
% 256.88/36.58 thf(func_def_129, type, sK51: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > X0))).
% 256.88/36.58 thf(func_def_130, type, sK52: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > X1))).
% 256.88/36.58 thf(func_def_131, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > tree @ X0) > X1))).
% 256.88/36.58 thf(func_def_132, type, sK54: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > tree @ X0) > X0))).
% 256.88/36.58 thf(func_def_133, type, sK55: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > tree @ X0) > X1))).
% 256.88/36.58 thf(func_def_134, type, sK56: !>[X0: $tType, X1: $tType]:(((X1 > product_prod @ X0 @ X1) > (X1 > $o) > (X1 > tree @ X0) > X1))).
% 256.88/36.58 thf(func_def_135, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > product_prod @ X0 @ X1) > (X1 > $o) > (X1 > tree @ X0) > X0))).
% 256.88/36.58 thf(func_def_136, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > product_prod @ X0 @ X1) > (X1 > $o) > (X1 > tree @ X0) > X1))).
% 256.88/36.58 thf(func_def_137, type, sK59: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > tree @ X0) > X1))).
% 256.88/36.58 thf(func_def_138, type, sK60: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > (X1 > tree @ X0) > list @ X0))).
% 256.88/36.58 thf(func_def_139, type, sK61: !>[X0: $tType, X1: $tType]:(((X1 > tree @ X0) > (X1 > multiset @ X0) > X1))).
% 256.88/36.58 thf(func_def_140, type, sK62: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 256.88/36.58 thf(func_def_141, type, sK63: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 256.88/36.58 thf(func_def_142, type, sK64: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 256.88/36.58 thf(func_def_143, type, sK65: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 256.88/36.58 thf(func_def_144, type, sK66: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 256.88/36.58 thf(func_def_145, type, sK67: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 256.88/36.58 thf(func_def_146, type, sK68: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 256.88/36.58 thf(func_def_147, type, sK69: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 256.88/36.58 thf(func_def_148, type, sK70: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 256.88/36.58 thf(func_def_149, type, sK71: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_150, type, sK72: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_151, type, sK73: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_152, type, sK74: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_153, type, sK75: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 256.88/36.58 thf(func_def_154, type, sK76: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 256.88/36.58 thf(func_def_155, type, sK77: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 256.88/36.58 thf(func_def_156, type, sK78: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_157, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 256.88/36.58 thf(func_def_158, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 256.88/36.58 thf(func_def_159, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 256.88/36.58 thf(func_def_160, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 256.88/36.58 thf(func_def_161, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 256.88/36.58 thf(func_def_162, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 256.88/36.58 thf(func_def_163, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 256.88/36.58 thf(func_def_164, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 256.88/36.58 thf(func_def_165, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 256.88/36.58 thf(func_def_166, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 256.88/36.58 thf(func_def_167, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 256.88/36.58 thf(func_def_168, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 256.88/36.58 thf(func_def_169, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X0))).
% 256.88/36.58 thf(func_def_170, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X1))).
% 256.88/36.58 thf(func_def_171, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X2))).
% 256.88/36.58 thf(func_def_172, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X3))).
% 256.88/36.58 thf(func_def_173, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X4))).
% 256.88/36.58 thf(func_def_174, type, sK96: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X5))).
% 256.88/36.58 thf(func_def_175, type, sK97: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X0))).
% 256.88/36.58 thf(func_def_176, type, sK98: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X1))).
% 256.88/36.58 thf(func_def_177, type, sK99: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X2))).
% 256.88/36.58 thf(func_def_178, type, sK100: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X3))).
% 256.88/36.58 thf(func_def_179, type, sK101: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X4))).
% 256.88/36.58 thf(func_def_180, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X5))).
% 256.88/36.58 thf(func_def_181, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X6))).
% 256.88/36.58 thf(func_def_182, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 256.88/36.58 thf(func_def_183, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 256.88/36.58 thf(func_def_184, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_185, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 256.88/36.58 thf(func_def_186, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 256.88/36.58 thf(func_def_187, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 256.88/36.58 thf(func_def_188, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_189, type, sK111: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 256.88/36.58 thf(func_def_190, type, sK112: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 256.88/36.58 thf(func_def_191, type, sK113: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 256.88/36.58 thf(func_def_192, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 256.88/36.58 thf(func_def_193, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_194, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 256.88/36.58 thf(func_def_195, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 256.88/36.58 thf(func_def_196, type, sK118: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 256.88/36.58 thf(func_def_197, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 256.88/36.58 thf(func_def_198, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 256.88/36.58 thf(func_def_199, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_200, type, sK122: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X6))).
% 256.88/36.58 thf(func_def_201, type, sK123: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 256.88/36.58 thf(func_def_202, type, sK124: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 256.88/36.58 thf(func_def_203, type, sK125: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 256.88/36.58 thf(func_def_204, type, sK126: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 256.88/36.58 thf(func_def_205, type, sK127: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 256.88/36.58 thf(func_def_206, type, sK128: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_207, type, sK129: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 256.88/36.58 thf(func_def_208, type, sK130: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 256.88/36.58 thf(func_def_209, type, sK131: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 256.88/36.58 thf(func_def_210, type, sK132: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_211, type, sK133: !>[X0: $tType]:((multiset @ X0 > X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_212, type, sK134: !>[X0: $tType]:((multiset @ X0 > X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_213, type, sK135: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_214, type, sK136: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_215, type, sK137: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_216, type, sK138: !>[X0: $tType]:(((multiset @ X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_217, type, sK139: !>[X0: $tType]:(((multiset @ X0 > $o) > multiset @ X0))).
% 256.88/36.58 thf(func_def_218, type, sK140: !>[X0: $tType]:(((multiset @ X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_219, type, sK141: !>[X0: $tType]:(((multiset @ X0 > $o) > multiset @ X0))).
% 256.88/36.58 thf(func_def_220, type, sK142: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X1))).
% 256.88/36.58 thf(func_def_221, type, sK143: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X0))).
% 256.88/36.58 thf(func_def_222, type, sK144: !>[X0: $tType]:((multiset @ X0 > X0))).
% 256.88/36.58 thf(func_def_223, type, sK145: !>[X0: $tType]:((multiset @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_224, type, sK146: !>[X0: $tType]:(((multiset @ X0 > $o) > X0))).
% 256.88/36.58 thf(func_def_225, type, sK147: !>[X0: $tType]:(((multiset @ X0 > $o) > multiset @ X0))).
% 256.88/36.58 thf(func_def_226, type, sK148: !>[X0: $tType, X1: $tType]:(((multiset @ X0 > multiset @ X1 > $o) > X1))).
% 256.88/36.58 thf(func_def_227, type, sK149: !>[X0: $tType, X1: $tType]:(((multiset @ X0 > multiset @ X1 > $o) > multiset @ X0))).
% 256.88/36.58 thf(func_def_228, type, sK150: !>[X0: $tType, X1: $tType]:(((multiset @ X0 > multiset @ X1 > $o) > multiset @ X1))).
% 256.88/36.58 thf(func_def_229, type, sK151: !>[X0: $tType, X1: $tType]:(((multiset @ X0 > multiset @ X1 > $o) > X0))).
% 256.88/36.58 thf(func_def_230, type, sK152: !>[X0: $tType, X1: $tType]:(((multiset @ X0 > multiset @ X1 > $o) > multiset @ X0))).
% 256.88/36.58 thf(func_def_231, type, sK153: !>[X0: $tType, X1: $tType]:(((multiset @ X0 > multiset @ X1 > $o) > multiset @ X1))).
% 256.88/36.58 thf(func_def_232, type, sK154: !>[X0: $tType]:((multiset @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_233, type, sK155: !>[X0: $tType]:((multiset @ X0 > X0))).
% 256.88/36.58 thf(func_def_234, type, sK156: !>[X0: $tType]:((multiset @ X0 > X0))).
% 256.88/36.58 thf(func_def_235, type, sK157: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > X1))).
% 256.88/36.58 thf(func_def_236, type, sK158: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > X0))).
% 256.88/36.58 thf(func_def_237, type, sK159: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > X1))).
% 256.88/36.58 thf(func_def_238, type, sK160: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > X1))).
% 256.88/36.58 thf(func_def_239, type, sK161: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > X0))).
% 256.88/36.58 thf(func_def_240, type, sK162: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > X1))).
% 256.88/36.58 thf(func_def_241, type, sK163: !>[X0: $tType, X1: $tType]:(((X1 > product_prod @ X0 @ X1) > (X1 > $o) > (X1 > $o) > X1))).
% 256.88/36.58 thf(func_def_242, type, sK164: !>[X0: $tType, X1: $tType]:(((X1 > product_prod @ X0 @ X1) > (X1 > $o) > (X1 > $o) > X0))).
% 256.88/36.58 thf(func_def_243, type, sK165: !>[X0: $tType, X1: $tType]:(((X1 > product_prod @ X0 @ X1) > (X1 > $o) > (X1 > $o) > X1))).
% 256.88/36.58 thf(func_def_244, type, sK166: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > (X1 > $o) > list @ X0))).
% 256.88/36.58 thf(func_def_245, type, sK167: !>[X0: $tType]:((X0 > X0 > X0))).
% 256.88/36.58 thf(func_def_246, type, sK168: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > multiset @ X0 > multiset @ X0 > X0))).
% 256.88/36.58 thf(func_def_247, type, sK169: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > multiset @ X0 > multiset @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_248, type, sK170: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > multiset @ X0 > multiset @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_249, type, sK171: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > multiset @ X0 > X0 > X0))).
% 256.88/36.58 thf(func_def_250, type, sK172: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > multiset @ X0 > X0 > multiset @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_251, type, sK173: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > multiset @ X0 > X0 > multiset @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_252, type, sK174: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > multiset @ X0 > multiset @ X0 > X0))).
% 256.88/36.58 thf(func_def_253, type, sK175: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > set @ product_prod @ X0 @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_254, type, sK176: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > set @ product_prod @ X0 @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_255, type, sK177: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > set @ product_prod @ X0 @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_256, type, sK178: !>[X0: $tType]:((X0 > multiset @ X0 > multiset @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_257, type, sK179: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_258, type, sK180: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_259, type, sK181: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_260, type, sK182: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_261, type, sK183: !>[X0: $tType]:(((X0 > X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_262, type, sK184: !>[X0: $tType]:(((X0 > X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_263, type, sK185: !>[X0: $tType]:((multiset @ multiset @ X0 > X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_264, type, sK186: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_265, type, sK187: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_266, type, sK188: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_267, type, sK189: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_268, type, sK190: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_269, type, sK191: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_270, type, sK192: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_271, type, sK193: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_272, type, sK194: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_273, type, sK195: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_274, type, sK196: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_275, type, sK197: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_276, type, sK198: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_277, type, sK199: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_278, type, sK200: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_279, type, sK201: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_280, type, sK202: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_281, type, sK203: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_282, type, sK204: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_283, type, sK205: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_284, type, sK206: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_285, type, sK207: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_286, type, sK208: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_287, type, sK209: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_288, type, sK210: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_289, type, sK211: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_290, type, sK212: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_291, type, sK213: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_292, type, sK214: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_293, type, sK215: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_294, type, sK216: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_295, type, sK217: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_296, type, sK218: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_297, type, sK219: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_298, type, sK220: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_299, type, sK221: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_300, type, sK222: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_301, type, sK223: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_302, type, sK224: !>[X0: $tType]:((multiset @ multiset @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_303, type, sK225: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_304, type, sK226: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_305, type, sK227: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_306, type, sK228: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_307, type, sK229: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_308, type, sK230: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_309, type, sK231: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_310, type, sK232: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_311, type, sK233: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_312, type, sK234: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_313, type, sK235: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_314, type, sK236: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_315, type, sK237: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_316, type, sK238: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_317, type, sK239: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 256.88/36.58 thf(func_def_318, type, sK240: !>[X0: $tType]:((X0 > multiset @ X0 > X0 > multiset @ X0 > multiset @ X0))).
% 256.88/36.58 thf(func_def_320, type, sK242: !>[X0: $tType]:((($o > X0 > X0) > X0))).
% 256.88/36.58 thf(func_def_321, type, sK243: !>[X0: $tType]:(((X0 > X0) > X0))).
% 256.88/36.58 thf(func_def_322, type, sK244: !>[X0: $tType]:(($o > ($o > X0 > X0) > X0))).
% 256.88/36.58 thf(func_def_323, type, sK245: !>[X0: $tType, X1: $tType]:((($o > X1 > multiset @ X0) > X1))).
% 256.88/36.58 thf(func_def_324, type, sK246: !>[X0: $tType, X1: $tType]:((($o > X1 > multiset @ X0) > $o > X1))).
% 256.88/36.58 thf(func_def_325, type, sK247: !>[X0: $tType, X1: $tType]:(((tree @ X1 > X0 > X0) > X0))).
% 256.88/36.58 thf(func_def_326, type, sK248: !>[X0: $tType, X1: $tType]:(((list @ X1 > X0 > X0) > list @ X1 > X0))).
% 256.88/36.58 thf(f1,axiom,(
% 256.88/36.58 (is_heap @ a @ (heapIm818251801eapify @ a @ r))),
% 256.88/36.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_T_Ohyps_I2_J)).
% 256.88/36.58 thf(f2,axiom,(
% 256.88/36.58 (is_heap @ a @ (heapIm818251801eapify @ a @ l))),
% 256.88/36.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_T_Ohyps_I1_J)).
% 256.88/36.58 thf(f3,axiom,(
% 256.88/36.58 (is_heap @ a @ (heapIm818251801eapify @ a @ l)) => ((is_heap @ a @ (heapIm818251801eapify @ a @ r)) => ((((t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))) = ((t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r)))) => (is_heap @ a @ (heapIm748920189ftDown @ a @ (t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))))))),
% 256.88/36.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__092_060open_062_092_060lbrakk_062is__heap_A_Iheapify_Al_J_059_Ais__heap_A_Iheapify_Ar_J_059_AT_Av_A_Iheapify_Al_J_A_Iheapify_Ar_J_A_061_AT_Av_A_Iheapify_Al_J_A_Iheapify_Ar_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Ais__heap_A_IsiftDown_A_IT_Av_A_Iheapify_Al_J_A_Iheapify_Ar_J_J_J_092_060close_062)).
% 256.88/36.58 thf(f4,axiom,(
% 256.88/36.58 ! [X0 : $tType] : (linorder @ X0 => ! [X1 : X0,X2 : tree @ X0,X3 : tree @ X0] : (((heapIm818251801eapify @ X0 @ (t @ X0 @ X1 @ X2 @ X3))) = ((heapIm748920189ftDown @ X0 @ (t @ X0 @ X1 @ (heapIm818251801eapify @ X0 @ X2) @ (heapIm818251801eapify @ X0 @ X3))))))),
% 256.88/36.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_heapify_Osimps_I2_J)).
% 256.88/36.58 thf(f275,axiom,(
% 256.88/36.58 linorder @ a),
% 256.88/36.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0)).
% 256.88/36.58 thf(f276,conjecture,(
% 256.88/36.58 (is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))),
% 256.88/36.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 256.88/36.58 thf(f277,negated_conjecture,(
% 256.88/36.58 ~(is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))),
% 256.88/36.58 inference(negated_conjecture,[status(cth)],[f276])).
% 256.88/36.58 thf(f278,plain,(
% 256.88/36.58 (is_heap @ a @ (heapIm818251801eapify @ a @ r))),
% 256.88/36.58 inference(rectify,[],[f1])).
% 256.88/36.58 thf(f279,plain,(
% 256.88/36.58 (((is_heap @ a @ (heapIm818251801eapify @ a @ r))) = $true)),
% 256.88/36.58 inference(fool_elimination,[],[f278])).
% 256.88/36.58 thf(f280,plain,(
% 256.88/36.58 (is_heap @ a @ (heapIm818251801eapify @ a @ l))),
% 256.88/36.58 inference(rectify,[],[f2])).
% 256.88/36.58 thf(f281,plain,(
% 256.88/36.58 (((is_heap @ a @ (heapIm818251801eapify @ a @ l))) = $true)),
% 256.88/36.58 inference(fool_elimination,[],[f280])).
% 256.88/36.58 thf(f282,plain,(
% 256.88/36.58 (is_heap @ a @ (heapIm818251801eapify @ a @ l)) => ((is_heap @ a @ (heapIm818251801eapify @ a @ r)) => ((((t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))) = ((t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r)))) => (is_heap @ a @ (heapIm748920189ftDown @ a @ (t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))))))),
% 256.88/36.59 inference(rectify,[],[f3])).
% 256.88/36.59 thf(f283,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm818251801eapify @ a @ l))) = $true) => ((((is_heap @ a @ (heapIm818251801eapify @ a @ r))) = $true) => ((((t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))) = ((t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r)))) => (((is_heap @ a @ (heapIm748920189ftDown @ a @ (t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))))) = $true)))),
% 256.88/36.59 inference(fool_elimination,[],[f282])).
% 256.88/36.59 thf(f284,plain,(
% 256.88/36.59 ! [X0 : $tType] : (linorder @ X0 => ! [X1 : X0,X2 : tree @ X0,X3 : tree @ X0] : (((heapIm818251801eapify @ X0 @ (t @ X0 @ X1 @ X2 @ X3))) = ((heapIm748920189ftDown @ X0 @ (t @ X0 @ X1 @ (heapIm818251801eapify @ X0 @ X2) @ (heapIm818251801eapify @ X0 @ X3))))))),
% 256.88/36.59 inference(rectify,[],[f4])).
% 256.88/36.59 thf(f285,plain,(
% 256.88/36.59 ! [X0 : $tType] : ((linorder @ X0 = $true) => ! [X1 : X0,X2 : tree @ X0,X3 : tree @ X0] : (((heapIm818251801eapify @ X0 @ (t @ X0 @ X1 @ X2 @ X3))) = ((heapIm748920189ftDown @ X0 @ (t @ X0 @ X1 @ (heapIm818251801eapify @ X0 @ X2) @ (heapIm818251801eapify @ X0 @ X3))))))),
% 256.88/36.59 inference(fool_elimination,[],[f284])).
% 256.88/36.59 thf(f703,plain,(
% 256.88/36.59 linorder @ a),
% 256.88/36.59 inference(rectify,[],[f275])).
% 256.88/36.59 thf(f704,plain,(
% 256.88/36.59 (linorder @ a = $true)),
% 256.88/36.59 inference(fool_elimination,[],[f703])).
% 256.88/36.59 thf(f705,plain,(
% 256.88/36.59 ~(is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))),
% 256.88/36.59 inference(rectify,[],[f277])).
% 256.88/36.59 thf(f706,plain,(
% 256.88/36.59 ~ (((is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))) = $true)),
% 256.88/36.59 inference(fool_elimination,[],[f705])).
% 256.88/36.59 thf(f727,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))) != $true)),
% 256.88/36.59 inference(flattening,[],[f706])).
% 256.88/36.59 thf(f728,plain,(
% 256.88/36.59 (((((is_heap @ a @ (heapIm748920189ftDown @ a @ (t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))))) = $true) | (((t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))) != ((t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))))) | (((is_heap @ a @ (heapIm818251801eapify @ a @ r))) != $true)) | (((is_heap @ a @ (heapIm818251801eapify @ a @ l))) != $true)),
% 256.88/36.59 inference(ennf_transformation,[],[f283])).
% 256.88/36.59 thf(f729,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm748920189ftDown @ a @ (t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))))) = $true) | (((t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))) != ((t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r)))) | (((is_heap @ a @ (heapIm818251801eapify @ a @ r))) != $true) | (((is_heap @ a @ (heapIm818251801eapify @ a @ l))) != $true)),
% 256.88/36.59 inference(flattening,[],[f728])).
% 256.88/36.59 thf(f730,plain,(
% 256.88/36.59 ! [X0 : $tType] : (! [X1 : X0,X2 : tree @ X0,X3 : tree @ X0] : (((heapIm818251801eapify @ X0 @ (t @ X0 @ X1 @ X2 @ X3))) = ((heapIm748920189ftDown @ X0 @ (t @ X0 @ X1 @ (heapIm818251801eapify @ X0 @ X2) @ (heapIm818251801eapify @ X0 @ X3))))) | (linorder @ X0 != $true))),
% 256.88/36.59 inference(ennf_transformation,[],[f285])).
% 256.88/36.59 thf(f1076,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm818251801eapify @ a @ r))) = $true)),
% 256.88/36.59 inference(cnf_transformation,[],[f279])).
% 256.88/36.59 thf(f1077,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm818251801eapify @ a @ l))) = $true)),
% 256.88/36.59 inference(cnf_transformation,[],[f281])).
% 256.88/36.59 thf(f1078,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm748920189ftDown @ a @ (t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))))) = $true) | (((t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))) != ((t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r)))) | (((is_heap @ a @ (heapIm818251801eapify @ a @ r))) != $true) | (((is_heap @ a @ (heapIm818251801eapify @ a @ l))) != $true)),
% 256.88/36.59 inference(cnf_transformation,[],[f729])).
% 256.88/36.59 thf(f1079,plain,(
% 256.88/36.59 ( ! [X0 : $tType,X2 : tree @ X0,X3 : tree @ X0,X1 : X0] : ((((heapIm818251801eapify @ X0 @ (t @ X0 @ X1 @ X2 @ X3))) = ((heapIm748920189ftDown @ X0 @ (t @ X0 @ X1 @ (heapIm818251801eapify @ X0 @ X2) @ (heapIm818251801eapify @ X0 @ X3))))) | (linorder @ X0 != $true)) )),
% 256.88/36.59 inference(cnf_transformation,[],[f730])).
% 256.88/36.59 thf(f1431,plain,(
% 256.88/36.59 (linorder @ a = $true)),
% 256.88/36.59 inference(cnf_transformation,[],[f704])).
% 256.88/36.59 thf(f1432,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))) != $true)),
% 256.88/36.59 inference(cnf_transformation,[],[f727])).
% 256.88/36.59 thf(f1434,definition,(
% 256.88/36.59 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 256.88/36.59 introduced(theory,[fool_exhaustiveness_axiom])).
% 256.88/36.59 thf(f2099,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm748920189ftDown @ a @ (t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))))) = $true) | (((is_heap @ a @ (heapIm818251801eapify @ a @ r))) != $true) | (((is_heap @ a @ (heapIm818251801eapify @ a @ l))) != $true)),
% 256.88/36.59 inference(trivial_inequality_removal,[],[f1078])).
% 256.88/36.59 thf(f2101,definition,(
% 256.88/36.59 spl241_1 <=> (((is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))) = $true)),
% 256.88/36.59 introduced(definition,[new_symbols(definition,[spl241_1])],[avatar_definition])).
% 256.88/36.59 thf(f2103,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))) != $true) | spl241_1),
% 256.88/36.59 inference(avatar_component_clause,[],[f2101])).
% 256.88/36.59 thf(f2104,plain,(
% 256.88/36.59 ~spl241_1),
% 256.88/36.59 inference(avatar_split_clause,[],[f1432,f2101])).
% 256.88/36.59 thf(f2106,definition,(
% 256.88/36.59 spl241_2 <=> (linorder @ a = $true)),
% 256.88/36.59 introduced(definition,[new_symbols(definition,[spl241_2])],[avatar_definition])).
% 256.88/36.59 thf(f2108,plain,(
% 256.88/36.59 (linorder @ a = $true) | ~spl241_2),
% 256.88/36.59 inference(avatar_component_clause,[],[f2106])).
% 256.88/36.59 thf(f2109,plain,(
% 256.88/36.59 spl241_2),
% 256.88/36.59 inference(avatar_split_clause,[],[f1431,f2106])).
% 256.88/36.59 thf(f5164,definition,(
% 256.88/36.59 spl241_880 <=> ! [X0 : $tType,X3 : tree @ X0,X2 : tree @ X0,X1 : X0] : ((((heapIm818251801eapify @ X0 @ (t @ X0 @ X1 @ X2 @ X3))) = ((heapIm748920189ftDown @ X0 @ (t @ X0 @ X1 @ (heapIm818251801eapify @ X0 @ X2) @ (heapIm818251801eapify @ X0 @ X3))))) | (linorder @ X0 != $true))),
% 256.88/36.59 introduced(definition,[new_symbols(definition,[spl241_880])],[avatar_definition])).
% 256.88/36.59 thf(f5165,plain,(
% 256.88/36.59 ( ! [X0 : $tType,X2 : tree @ X0,X3 : tree @ X0,X1 : X0] : ((linorder @ X0 != $true) | (((heapIm818251801eapify @ X0 @ (t @ X0 @ X1 @ X2 @ X3))) = ((heapIm748920189ftDown @ X0 @ (t @ X0 @ X1 @ (heapIm818251801eapify @ X0 @ X2) @ (heapIm818251801eapify @ X0 @ X3)))))) ) | ~spl241_880),
% 256.88/36.59 inference(avatar_component_clause,[],[f5164])).
% 256.88/36.59 thf(f5166,plain,(
% 256.88/36.59 spl241_880),
% 256.88/36.59 inference(avatar_split_clause,[],[f1079,f5164])).
% 256.88/36.59 thf(f5168,definition,(
% 256.88/36.59 spl241_881 <=> (((is_heap @ a @ (heapIm818251801eapify @ a @ l))) = $true)),
% 256.88/36.59 introduced(definition,[new_symbols(definition,[spl241_881])],[avatar_definition])).
% 256.88/36.59 thf(f5172,definition,(
% 256.88/36.59 spl241_882 <=> (((is_heap @ a @ (heapIm818251801eapify @ a @ r))) = $true)),
% 256.88/36.59 introduced(definition,[new_symbols(definition,[spl241_882])],[avatar_definition])).
% 256.88/36.59 thf(f5176,definition,(
% 256.88/36.59 spl241_883 <=> (((is_heap @ a @ (heapIm748920189ftDown @ a @ (t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))))) = $true)),
% 256.88/36.59 introduced(definition,[new_symbols(definition,[spl241_883])],[avatar_definition])).
% 256.88/36.59 thf(f5178,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm748920189ftDown @ a @ (t @ a @ v @ (heapIm818251801eapify @ a @ l) @ (heapIm818251801eapify @ a @ r))))) = $true) | ~spl241_883),
% 256.88/36.59 inference(avatar_component_clause,[],[f5176])).
% 256.88/36.59 thf(f5179,plain,(
% 256.88/36.59 ~spl241_881 | ~spl241_882 | spl241_883),
% 256.88/36.59 inference(avatar_split_clause,[],[f2099,f5176,f5172,f5168])).
% 256.88/36.59 thf(f5180,plain,(
% 256.88/36.59 spl241_881),
% 256.88/36.59 inference(avatar_split_clause,[],[f1077,f5168])).
% 256.88/36.59 thf(f5181,plain,(
% 256.88/36.59 spl241_882),
% 256.88/36.59 inference(avatar_split_clause,[],[f1076,f5172])).
% 256.88/36.59 thf(f5194,definition,(
% 256.88/36.59 spl241_887 <=> ! [X0 : $o] : (($true = X0) | ($false = X0))),
% 256.88/36.59 introduced(definition,[new_symbols(definition,[spl241_887])],[avatar_definition])).
% 256.88/36.59 thf(f5195,plain,(
% 256.88/36.59 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) ) | ~spl241_887),
% 256.88/36.59 inference(avatar_component_clause,[],[f5194])).
% 256.88/36.59 thf(f5196,plain,(
% 256.88/36.59 spl241_887),
% 256.88/36.59 inference(avatar_split_clause,[],[f1434,f5194])).
% 256.88/36.59 thf(f10209,plain,(
% 256.88/36.59 ($true != $true) | (((is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))) = $false) | (spl241_1 | ~spl241_887)),
% 256.88/36.59 inference(constrained_superposition,[],[f2103,f5195])).
% 256.88/36.59 thf(f10210,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))) = $false) | (spl241_1 | ~spl241_887)),
% 256.88/36.59 inference(trivial_inequality_removal,[],[f10209])).
% 256.88/36.59 thf(f10212,definition,(
% 256.88/36.59 spl241_1043 <=> (((is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))) = $false)),
% 256.88/36.59 introduced(definition,[new_symbols(definition,[spl241_1043])],[avatar_definition])).
% 256.88/36.59 thf(f10214,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))) = $false) | ~spl241_1043),
% 256.88/36.59 inference(avatar_component_clause,[],[f10212])).
% 256.88/36.59 thf(f10215,plain,(
% 256.88/36.59 spl241_1043 | spl241_1 | ~spl241_887),
% 256.88/36.59 inference(avatar_split_clause,[],[f10210,f5194,f2101,f10212])).
% 256.88/36.59 thf(f38708,plain,(
% 256.88/36.59 ( ! [X2 : tree @ a,X0 : a,X1 : tree @ a] : (($true != $true) | (((heapIm818251801eapify @ a @ (t @ a @ X0 @ X1 @ X2))) = ((heapIm748920189ftDown @ a @ (t @ a @ X0 @ (heapIm818251801eapify @ a @ X1) @ (heapIm818251801eapify @ a @ X2)))))) ) | (~spl241_2 | ~spl241_880)),
% 256.88/36.59 inference(constrained_superposition,[],[f5165,f2108])).
% 256.88/36.59 thf(f38711,plain,(
% 256.88/36.59 ( ! [X2 : tree @ a,X0 : a,X1 : tree @ a] : ((((heapIm818251801eapify @ a @ (t @ a @ X0 @ X1 @ X2))) = ((heapIm748920189ftDown @ a @ (t @ a @ X0 @ (heapIm818251801eapify @ a @ X1) @ (heapIm818251801eapify @ a @ X2)))))) ) | (~spl241_2 | ~spl241_880)),
% 256.88/36.59 inference(trivial_inequality_removal,[],[f38708])).
% 256.88/36.59 thf(f38718,definition,(
% 256.88/36.59 spl241_3147 <=> ! [X2 : tree @ a,X0 : a,X1 : tree @ a] : (((heapIm818251801eapify @ a @ (t @ a @ X0 @ X1 @ X2))) = ((heapIm748920189ftDown @ a @ (t @ a @ X0 @ (heapIm818251801eapify @ a @ X1) @ (heapIm818251801eapify @ a @ X2)))))),
% 256.88/36.59 introduced(definition,[new_symbols(definition,[spl241_3147])],[avatar_definition])).
% 256.88/36.59 thf(f38719,plain,(
% 256.88/36.59 ( ! [X2 : tree @ a,X0 : a,X1 : tree @ a] : ((((heapIm818251801eapify @ a @ (t @ a @ X0 @ X1 @ X2))) = ((heapIm748920189ftDown @ a @ (t @ a @ X0 @ (heapIm818251801eapify @ a @ X1) @ (heapIm818251801eapify @ a @ X2)))))) ) | ~spl241_3147),
% 256.88/36.59 inference(avatar_component_clause,[],[f38718])).
% 256.88/36.59 thf(f38720,plain,(
% 256.88/36.59 spl241_3147 | ~spl241_2 | ~spl241_880),
% 256.88/36.59 inference(avatar_split_clause,[],[f38711,f5164,f2106,f38718])).
% 256.88/36.59 thf(f247888,plain,(
% 256.88/36.59 (((is_heap @ a @ (heapIm818251801eapify @ a @ (t @ a @ v @ l @ r)))) = $true) | (~spl241_883 | ~spl241_3147)),
% 256.88/36.59 inference(forward_demodulation,[],[f5178,f38719])).
% 256.88/36.59 thf(f265798,plain,(
% 256.88/36.59 ($true = $false) | (~spl241_883 | ~spl241_1043 | ~spl241_3147)),
% 256.88/36.59 inference(forward_demodulation,[],[f247888,f10214])).
% 256.88/36.59 thf(f265799,plain,(
% 256.88/36.59 $false | (~spl241_883 | ~spl241_1043 | ~spl241_3147)),
% 256.88/36.59 inference(trivial_inequality_removal,[],[f265798])).
% 256.88/36.59 thf(f265800,plain,(
% 256.88/36.59 ~spl241_883 | ~spl241_1043 | ~spl241_3147),
% 256.88/36.59 inference(avatar_contradiction_clause,[],[f265799])).
% 256.88/36.59 cnf(s1, plain, ~spl241_1, inference(sat_conversion,[],[f2104])).
% 256.88/36.59 cnf(s2, plain, spl241_2, inference(sat_conversion,[],[f2109])).
% 256.88/36.59 cnf(s475, plain, spl241_880, inference(sat_conversion,[],[f5166])).
% 256.88/36.59 cnf(s476, plain, ~spl241_881 | ~spl241_882 | spl241_883, inference(sat_conversion,[],[f5179])).
% 256.88/36.59 cnf(s477, plain, spl241_881, inference(sat_conversion,[],[f5180])).
% 256.88/36.59 cnf(s478, plain, spl241_882, inference(sat_conversion,[],[f5181])).
% 256.88/36.59 cnf(s480, plain, spl241_887, inference(sat_conversion,[],[f5196])).
% 256.88/36.59 cnf(s2049, plain, spl241_1 | ~spl241_887 | spl241_1043, inference(sat_conversion,[],[f10215])).
% 256.88/36.59 cnf(s6450, plain, ~spl241_2 | ~spl241_880 | spl241_3147, inference(sat_conversion,[],[f38720])).
% 256.88/36.59 cnf(s46845, plain, ~spl241_883 | ~spl241_1043 | ~spl241_3147, inference(sat_conversion,[],[f265800])).
% 256.88/36.59 cnf(s47377, plain, spl241_883, inference(rat,[],[s476,s478,s477])).
% 256.88/36.59 cnf(s54168, plain, spl241_3147, inference(rat,[],[s6450,s475,s2])).
% 256.88/36.59 cnf(s54176, plain, ~spl241_1043, inference(rat,[],[s46845,s47377,s54168])).
% 256.88/36.59 cnf(s54196, plain, spl241_1, inference(rat,[],[s2049,s480,s54176])).
% 256.88/36.59 cnf(s57434, plain, $false, inference(rat,[],[s1,s54196])).
% 256.88/36.59 thf(f266358,plain,(
% 256.88/36.59 $false),
% 256.88/36.59 inference(avatar_sat_refutation,[],[s57434])).
% 256.88/36.59 % SZS output end Proof for theBenchmark
% 256.88/36.59 % (4023271)------------------------------
% 256.88/36.59 % (4023271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 256.88/36.59 % (4023271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 256.88/36.59 % (4023271)CaDiCaL version: 2.1.3
% 256.88/36.59 % (4023271)Termination reason: Refutation
% 256.88/36.59 % (4023271)Time elapsed: 8.992 s
% 256.88/36.59 % (4023271)Peak memory usage: 142 MB
% 256.88/36.59 % (4023271)Instructions burned: 18438 (million)
% 256.88/36.59 % (4023092)Success in time 36.244 s
% 256.88/36.59 % Vampire exiting
%------------------------------------------------------------------------------