%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP157^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 08:10:55 AM UTC 2026
% Result : Theorem 43.05s 6.37s
% Output : Refutation 43.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP157^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n002.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 20:06:32 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.77/1.15 % (1784824)Will run a generic schedule for satisfiability detection.
% 5.77/1.15 % (1784832)dis+10_1_sil=32000:sp=arity:random_seed=3972014088:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.77/1.15 % (1784830)% WARNING: option uhcvi not known.
% 5.77/1.15 % (1784829)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2422216565_2999 on theBenchmark for (2999ds/0Mi)
% 5.77/1.15 % (1784830)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3299685512:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.77/1.15 % (1784831)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1358747152:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.77/1.15 % (1784834)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2008801673:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.77/1.15 % (1784833)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1827213459:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.77/1.15 % (1784835)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1882433493:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.77/1.15 % (1784830)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.77/1.15 % (1784833)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.77/1.15 % (1784832)Instruction limit reached!
% 5.77/1.15 % (1784832)------------------------------
% 5.77/1.15 % (1784832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.15 % (1784832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.15 % (1784832)CaDiCaL version: 2.1.3
% 5.77/1.15 % (1784832)Termination reason: Instruction limit
% 5.77/1.15 % (1784832)Termination phase: Saturation
% 5.77/1.15 % (1784832)Time elapsed: 0.026 s
% 5.77/1.15 % (1784832)Peak memory usage: 13 MB
% 5.77/1.15 % (1784832)Instructions burned: 105 (million)
% 5.77/1.15 % (1784843)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2984658886:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.77/1.15 % Exception at run slice level
% 5.77/1.15 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.77/1.15 % (1784830)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.77/1.15 % Exception at run slice level
% 5.77/1.15 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.77/1.15 % (1784833)Instruction limit reached!
% 5.77/1.15 % (1784833)------------------------------
% 5.77/1.15 % (1784833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.15 % (1784833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.15 % (1784833)CaDiCaL version: 2.1.3
% 5.77/1.15 % (1784833)Termination reason: Instruction limit
% 5.77/1.15 % (1784833)Termination phase: Saturation
% 5.77/1.15 % (1784833)Time elapsed: 0.055 s
% 5.77/1.15 % (1784833)Peak memory usage: 13 MB
% 5.77/1.15 % (1784833)Instructions burned: 118 (million)
% 5.77/1.15 % (1784845)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=375584679:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.77/1.15 % (1784846)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=3909581000:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.77/1.15 % (1784834)Instruction limit reached!
% 5.77/1.15 % (1784834)------------------------------
% 5.77/1.15 % (1784834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.15 % (1784834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.15 % (1784834)CaDiCaL version: 2.1.3
% 5.77/1.15 % (1784834)Termination reason: Instruction limit
% 5.77/1.15 % (1784834)Termination phase: Saturation
% 5.77/1.15 % (1784834)Time elapsed: 0.063 s
% 5.77/1.15 % (1784834)Peak memory usage: 13 MB
% 5.77/1.15 % (1784834)Instructions burned: 132 (million)
% 5.77/1.15 % (1784846)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.77/1.15 % (1784847)ott-21_1_sil=16000:fs=off:random_seed=2730923353:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.77/1.15 % (1784850)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2593188934:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.73/2.92 % (1784846)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.73/2.92 % (1784845)Instruction limit reached!
% 17.73/2.92 % (1784845)------------------------------
% 17.73/2.92 % (1784845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.73/2.92 % (1784845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/2.92 % (1784845)CaDiCaL version: 2.1.3
% 17.73/2.92 % (1784845)Termination reason: Instruction limit
% 17.73/2.92 % (1784845)Termination phase: Saturation
% 17.73/2.92 % (1784845)Time elapsed: 0.063 s
% 17.73/2.92 % (1784845)Peak memory usage: 13 MB
% 17.73/2.92 % (1784845)Instructions burned: 131 (million)
% 17.73/2.92 % (1784853)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2860981729:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.73/2.92 % (1784835)Instruction limit reached!
% 17.73/2.92 % (1784835)------------------------------
% 17.73/2.92 % (1784835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.73/2.92 % (1784835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/2.92 % (1784835)CaDiCaL version: 2.1.3
% 17.73/2.92 % (1784835)Termination reason: Instruction limit
% 17.73/2.92 % (1784835)Termination phase: Saturation
% 17.73/2.92 % (1784835)Time elapsed: 0.136 s
% 17.73/2.92 % (1784835)Peak memory usage: 14 MB
% 17.73/2.92 % (1784835)Instructions burned: 159 (million)
% 17.73/2.92 % (1784847)Instruction limit reached!
% 17.73/2.92 % (1784847)------------------------------
% 17.73/2.92 % (1784847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.73/2.92 % (1784847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/2.92 % (1784847)CaDiCaL version: 2.1.3
% 17.73/2.92 % (1784847)Termination reason: Instruction limit
% 17.73/2.92 % (1784847)Termination phase: Saturation
% 17.73/2.92 % (1784847)Time elapsed: 0.087 s
% 17.73/2.92 % (1784847)Peak memory usage: 13 MB
% 17.73/2.92 % (1784847)Instructions burned: 180 (million)
% 17.73/2.92 % (1784855)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1713583485:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.73/2.92 % Exception at run slice level
% 17.73/2.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.73/2.92 % (1784856)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=719041614:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 17.73/2.92 % (1784858)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=534349367:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 17.73/2.92 % (1784858)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.73/2.92 % Exception at run slice level
% 17.73/2.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.73/2.92 % (1784846)Instruction limit reached!
% 17.73/2.92 % (1784846)------------------------------
% 17.73/2.92 % (1784846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.73/2.92 % (1784846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/2.92 % (1784846)CaDiCaL version: 2.1.3
% 17.73/2.92 % (1784846)Termination reason: Instruction limit
% 17.73/2.92 % (1784846)Termination phase: Saturation
% 17.73/2.92 % (1784846)Time elapsed: 0.182 s
% 17.73/2.92 % (1784846)Peak memory usage: 17 MB
% 17.73/2.92 % (1784846)Instructions burned: 688 (million)
% 17.73/2.92 % (1784861)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2051040584:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 17.73/2.92 % (1784863)fmb+10_1_sil=64000:random_seed=1803047761:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 17.73/2.92 % (1784861)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.73/2.92 % (1784863)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.73/2.92 % Exception at run slice level
% 17.73/2.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.73/2.92 % (1784865)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2585163473:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 17.73/2.92 % Exception at run slice level
% 17.73/2.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.05/6.37 % (1784867)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=69476217:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 43.05/6.37 % Exception at run slice level
% 43.05/6.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.05/6.37 % (1784869)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4278002848:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 43.05/6.37 % (1784850)Instruction limit reached!
% 43.05/6.37 % (1784850)------------------------------
% 43.05/6.37 % (1784850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784850)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784850)Termination reason: Instruction limit
% 43.05/6.37 % (1784850)Termination phase: Saturation
% 43.05/6.37 % (1784850)Time elapsed: 0.271 s
% 43.05/6.37 % (1784850)Peak memory usage: 15 MB
% 43.05/6.37 % (1784850)Instructions burned: 477 (million)
% 43.05/6.37 % (1784869)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 43.05/6.37 % (1784871)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3823202536:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 43.05/6.37 % (1784871)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 43.05/6.37 % (1784871)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 43.05/6.37 % (1784858)Instruction limit reached!
% 43.05/6.37 % (1784858)------------------------------
% 43.05/6.37 % (1784858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784858)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784858)Termination reason: Instruction limit
% 43.05/6.37 % (1784858)Termination phase: Saturation
% 43.05/6.37 % (1784858)Time elapsed: 0.360 s
% 43.05/6.37 % (1784858)Peak memory usage: 20 MB
% 43.05/6.37 % (1784858)Instructions burned: 693 (million)
% 43.05/6.37 % (1784873)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1123808539:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 43.05/6.37 % Exception at run slice level
% 43.05/6.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.05/6.37 % (1784875)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1738885680:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 43.05/6.37 % Exception at run slice level
% 43.05/6.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.05/6.37 % (1784877)ott-2_1_sil=16000:newcnf=on:random_seed=3497233691:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 43.05/6.37 % (1784861)Instruction limit reached!
% 43.05/6.37 % (1784861)------------------------------
% 43.05/6.37 % (1784861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784861)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784861)Termination reason: Instruction limit
% 43.05/6.37 % (1784861)Termination phase: Saturation
% 43.05/6.37 % (1784861)Time elapsed: 0.457 s
% 43.05/6.37 % (1784861)Peak memory usage: 20 MB
% 43.05/6.37 % (1784861)Instructions burned: 879 (million)
% 43.05/6.37 % (1784877)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 43.05/6.37 % (1784879)ott+10_1_sil=32000:tgt=ground:random_seed=1087351016:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 43.05/6.37 % (1784855)Instruction limit reached!
% 43.05/6.37 % (1784855)------------------------------
% 43.05/6.37 % (1784855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784855)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784855)Termination reason: Instruction limit
% 43.05/6.37 % (1784855)Termination phase: Saturation
% 43.05/6.37 % (1784855)Time elapsed: 0.645 s
% 43.05/6.37 % (1784855)Peak memory usage: 20 MB
% 43.05/6.37 % (1784855)Instructions burned: 1181 (million)
% 43.05/6.37 % (1784881)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=293977041:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 43.05/6.37 % Exception at run slice level
% 43.05/6.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.05/6.37 % (1784883)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2880084216:i=3512:aac=none_2990 on theBenchmark for (2990ds/3512Mi)
% 43.05/6.37 % (1784883)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 43.05/6.37 % (1784877)Instruction limit reached!
% 43.05/6.37 % (1784877)------------------------------
% 43.05/6.37 % (1784877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784877)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784877)Termination reason: Instruction limit
% 43.05/6.37 % (1784877)Termination phase: Saturation
% 43.05/6.37 % (1784877)Time elapsed: 0.442 s
% 43.05/6.37 % (1784877)Peak memory usage: 17 MB
% 43.05/6.37 % (1784877)Instructions burned: 870 (million)
% 43.05/6.37 % (1784885)dis+21_1_sil=32000:sas=cadical:random_seed=495286157:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 43.05/6.37 % (1784871)Instruction limit reached!
% 43.05/6.37 % (1784871)------------------------------
% 43.05/6.37 % (1784871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784871)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784871)Termination reason: Instruction limit
% 43.05/6.37 % (1784871)Termination phase: Saturation
% 43.05/6.37 % (1784871)Time elapsed: 0.825 s
% 43.05/6.37 % (1784871)Peak memory usage: 20 MB
% 43.05/6.37 % (1784871)Instructions burned: 1472 (million)
% 43.05/6.37 % (1784887)ott+11_1_sil=16000:gs=on:random_seed=3063382579:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 43.05/6.37 % (1784887)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 43.05/6.37 % (1784869)Instruction limit reached!
% 43.05/6.37 % (1784869)------------------------------
% 43.05/6.37 % (1784869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784869)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784869)Termination reason: Instruction limit
% 43.05/6.37 % (1784869)Termination phase: Saturation
% 43.05/6.37 % (1784869)Time elapsed: 1.406 s
% 43.05/6.37 % (1784869)Peak memory usage: 31 MB
% 43.05/6.37 % (1784869)Instructions burned: 5134 (million)
% 43.05/6.37 % (1784889)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3384003672:fmbsr=1.6:i=67534_2981 on theBenchmark for (2981ds/67534Mi)
% 43.05/6.37 % Exception at run slice level
% 43.05/6.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.05/6.37 % (1784891)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=447635017:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2981 on theBenchmark for (2981ds/4591Mi)
% 43.05/6.37 % (1784887)Instruction limit reached!
% 43.05/6.37 % (1784887)------------------------------
% 43.05/6.37 % (1784887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784887)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784887)Termination reason: Instruction limit
% 43.05/6.37 % (1784887)Termination phase: Saturation
% 43.05/6.37 % (1784887)Time elapsed: 1.096 s
% 43.05/6.37 % (1784887)Peak memory usage: 21 MB
% 43.05/6.37 % (1784887)Instructions burned: 2252 (million)
% 43.05/6.37 % (1784893)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2587741794:i=29340_2976 on theBenchmark for (2976ds/29340Mi)
% 43.05/6.37 % (1784883)Instruction limit reached!
% 43.05/6.37 % (1784883)------------------------------
% 43.05/6.37 % (1784883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784883)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784883)Termination reason: Instruction limit
% 43.05/6.37 % (1784883)Termination phase: Saturation
% 43.05/6.37 % (1784883)Time elapsed: 1.730 s
% 43.05/6.37 % (1784883)Peak memory usage: 30 MB
% 43.05/6.37 % (1784883)Instructions burned: 3513 (million)
% 43.05/6.37 % (1784895)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3679394346:i=5211_2973 on theBenchmark for (2973ds/5211Mi)
% 43.05/6.37 % (1784885)Instruction limit reached!
% 43.05/6.37 % (1784885)------------------------------
% 43.05/6.37 % (1784885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784885)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784885)Termination reason: Instruction limit
% 43.05/6.37 % (1784885)Termination phase: Saturation
% 43.05/6.37 % (1784885)Time elapsed: 1.860 s
% 43.05/6.37 % (1784885)Peak memory usage: 31 MB
% 43.05/6.37 % (1784885)Instructions burned: 3774 (million)
% 43.05/6.37 % (1784897)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3789850712:i=5497:nm=2_2969 on theBenchmark for (2969ds/5497Mi)
% 43.05/6.37 % Exception at run slice level
% 43.05/6.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.05/6.37 % (1784891)Instruction limit reached!
% 43.05/6.37 % (1784891)------------------------------
% 43.05/6.37 % (1784891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784891)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784891)Termination reason: Instruction limit
% 43.05/6.37 % (1784891)Termination phase: Saturation
% 43.05/6.37 % (1784891)Time elapsed: 1.284 s
% 43.05/6.37 % (1784891)Peak memory usage: 41 MB
% 43.05/6.37 % (1784891)Instructions burned: 4591 (million)
% 43.05/6.37 % (1784900)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2176369951:i=14071_2968 on theBenchmark for (2968ds/14071Mi)
% 43.05/6.37 % (1784899)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3984456027:fmbsr=2:i=46332_2968 on theBenchmark for (2968ds/46332Mi)
% 43.05/6.37 % Exception at run slice level
% 43.05/6.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.05/6.37 % (1784903)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4240238623:i=22565:add=on:rawr=on_2968 on theBenchmark for (2968ds/22565Mi)
% 43.05/6.37 % Exception at run slice level
% 43.05/6.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.05/6.37 % (1784905)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1946356545:i=8173:av=off_2968 on theBenchmark for (2968ds/8173Mi)
% 43.05/6.37 % (1784879)Instruction limit reached!
% 43.05/6.37 % (1784879)------------------------------
% 43.05/6.37 % (1784879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784879)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784879)Termination reason: Instruction limit
% 43.05/6.37 % (1784879)Termination phase: Saturation
% 43.05/6.37 % (1784879)Time elapsed: 2.635 s
% 43.05/6.37 % (1784879)Peak memory usage: 39 MB
% 43.05/6.37 % (1784879)Instructions burned: 5115 (million)
% 43.05/6.37 % (1784907)dis+10_16:1_sil=16000:random_seed=4224175450:i=9155:fsr=off_2965 on theBenchmark for (2965ds/9155Mi)
% 43.05/6.37 % (1784895)Instruction limit reached!
% 43.05/6.37 % (1784895)------------------------------
% 43.05/6.37 % (1784895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784895)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784895)Termination reason: Instruction limit
% 43.05/6.37 % (1784895)Termination phase: Saturation
% 43.05/6.37 % (1784895)Time elapsed: 2.655 s
% 43.05/6.37 % (1784895)Peak memory usage: 48 MB
% 43.05/6.37 % (1784895)Instructions burned: 5211 (million)
% 43.05/6.37 % (1784909)ott-3_8_sil=64000:random_seed=2764785783:i=20139:bs=on_2946 on theBenchmark for (2946ds/20139Mi)
% 43.05/6.37 % (1784830) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1784824-1784830"...
% 43.05/6.37 % (1784830)...printing done.
% 43.05/6.37 % (1784830)Refutation found. Thanks to Tanya!
% 43.05/6.37 % SZS status Theorem for theBenchmark
% 43.05/6.37 % SZS output start Proof for theBenchmark
% 43.05/6.37 thf(type_def_5, type, product_unit: $tType).
% 43.05/6.37 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 43.05/6.37 thf(type_def_7, type, set: $tType > $tType).
% 43.05/6.37 thf(type_def_8, type, a: $tType).
% 43.05/6.37 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 43.05/6.37 thf(func_def_0, type, ordere890947078_space: !>[X0: $tType]:($o)).
% 43.05/6.37 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 43.05/6.37 thf(func_def_2, type, minus: !>[X0: $tType]:($o)).
% 43.05/6.37 thf(func_def_3, type, bot: !>[X0: $tType]:($o)).
% 43.05/6.37 thf(func_def_4, type, ord: !>[X0: $tType]:($o)).
% 43.05/6.37 thf(func_def_5, type, top: !>[X0: $tType]:($o)).
% 43.05/6.37 thf(func_def_6, type, group_add: !>[X0: $tType]:($o)).
% 43.05/6.37 thf(func_def_7, type, ab_group_add: !>[X0: $tType]:($o)).
% 43.05/6.37 thf(func_def_8, type, order_top: !>[X0: $tType]:($o)).
% 43.05/6.37 thf(func_def_9, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 43.05/6.37 thf(func_def_10, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 43.05/6.37 thf(func_def_11, type, bNF_Gr: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ product_prod @ X0 @ X1))).
% 43.05/6.37 thf(func_def_12, type, bNF_fstOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X0 @ X1))).
% 43.05/6.37 thf(func_def_13, type, bNF_pick_middlep: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > X1))).
% 43.05/6.37 thf(func_def_14, type, bNF_sndOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 43.05/6.37 thf(func_def_15, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 43.05/6.37 thf(func_def_16, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 43.05/6.37 thf(func_def_17, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_18, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 43.05/6.37 thf(func_def_19, type, order_preorder_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 43.05/6.37 thf(func_def_20, type, bot_bot: !>[X0: $tType]:(X0)).
% 43.05/6.37 thf(func_def_21, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 43.05/6.37 thf(func_def_22, type, top_top: !>[X0: $tType]:(X0)).
% 43.05/6.37 thf(func_def_23, type, prefer951318096ood_as: !>[X0: $tType]:((X0 > set @ X0 > set @ product_prod @ X0 @ X0 > set @ X0))).
% 43.05/6.37 thf(func_def_24, type, prefer310429814s_good: !>[X0: $tType]:((X0 > set @ X0 > set @ product_prod @ X0 @ X0 > set @ X0))).
% 43.05/6.37 thf(func_def_25, type, prefer1532642881r_than: !>[X0: $tType]:((X0 > set @ X0 > set @ product_prod @ X0 @ X0 > set @ X0))).
% 43.05/6.37 thf(func_def_26, type, prefer199794634erence: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 43.05/6.37 thf(func_def_27, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 43.05/6.37 thf(func_def_28, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ product_prod @ X0 @ X1))).
% 43.05/6.37 thf(func_def_29, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 43.05/6.37 thf(func_def_30, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 43.05/6.37 thf(func_def_31, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 43.05/6.37 thf(func_def_32, type, product_rec_bool: !>[X0: $tType]:((X0 > X0 > $o > X0))).
% 43.05/6.37 thf(func_def_33, type, product_rec_set_bool: !>[X0: $tType]:((X0 > X0 > $o > X0 > $o))).
% 43.05/6.37 thf(func_def_34, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 43.05/6.37 thf(func_def_35, type, product_rec_set_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2 > $o))).
% 43.05/6.37 thf(func_def_36, type, product_rec_set_unit: !>[X0: $tType]:((X0 > product_unit > X0 > $o))).
% 43.05/6.37 thf(func_def_37, type, product_rec_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 43.05/6.37 thf(func_def_38, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 43.05/6.37 thf(func_def_39, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 43.05/6.37 thf(func_def_40, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 43.05/6.37 thf(func_def_41, type, product_product: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ product_prod @ X0 @ X1))).
% 43.05/6.37 thf(func_def_42, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 43.05/6.37 thf(func_def_43, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 43.05/6.37 thf(func_def_44, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 43.05/6.37 thf(func_def_45, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 43.05/6.37 thf(func_def_46, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 43.05/6.37 thf(func_def_47, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 43.05/6.37 thf(func_def_48, type, b: set @ a).
% 43.05/6.37 thf(func_def_49, type, pr: set @ product_prod @ a @ a).
% 43.05/6.37 thf(func_def_50, type, y: a).
% 43.05/6.37 thf(func_def_51, type, z: a).
% 43.05/6.37 thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 43.05/6.37 thf(func_def_56, type, vAND: ($o > $o > $o)).
% 43.05/6.37 thf(func_def_57, type, db0: !>[X0: $tType]:(X0)).
% 43.05/6.37 thf(func_def_58, type, db2: !>[X0: $tType]:(X0)).
% 43.05/6.37 thf(func_def_59, type, db3: !>[X0: $tType]:(X0)).
% 43.05/6.37 thf(func_def_60, type, db1: !>[X0: $tType]:(X0)).
% 43.05/6.37 thf(func_def_61, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 43.05/6.37 thf(func_def_62, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 43.05/6.37 thf(func_def_63, type, vIMP: ($o > $o > $o)).
% 43.05/6.37 thf(func_def_64, type, vNOT: ($o > $o)).
% 43.05/6.37 thf(func_def_65, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 43.05/6.37 thf(func_def_66, type, vOR: ($o > $o > $o)).
% 43.05/6.37 thf(func_def_67, type, sK0: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 43.05/6.37 thf(func_def_68, type, sK1: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 43.05/6.37 thf(func_def_69, type, sK2: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 43.05/6.37 thf(func_def_70, type, sK3: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_71, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 43.05/6.37 thf(func_def_72, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 43.05/6.37 thf(func_def_73, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 43.05/6.37 thf(func_def_74, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 43.05/6.37 thf(func_def_75, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 43.05/6.37 thf(func_def_76, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 43.05/6.37 thf(func_def_77, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 43.05/6.37 thf(func_def_78, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 43.05/6.37 thf(func_def_79, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 43.05/6.37 thf(func_def_80, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 43.05/6.37 thf(func_def_81, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 43.05/6.37 thf(func_def_82, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 43.05/6.37 thf(func_def_83, type, sK16: !>[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))).
% 43.05/6.37 thf(func_def_84, type, sK17: !>[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))).
% 43.05/6.37 thf(func_def_85, type, sK18: !>[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))).
% 43.05/6.37 thf(func_def_86, type, sK19: !>[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))).
% 43.05/6.37 thf(func_def_87, type, sK20: !>[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))).
% 43.05/6.37 thf(func_def_88, type, sK21: !>[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))).
% 43.05/6.37 thf(func_def_89, type, sK22: !>[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))).
% 43.05/6.37 thf(func_def_90, type, sK23: !>[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))).
% 43.05/6.37 thf(func_def_91, type, sK24: !>[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))).
% 43.05/6.37 thf(func_def_92, type, sK25: !>[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))).
% 43.05/6.37 thf(func_def_93, type, sK26: !>[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))).
% 43.05/6.37 thf(func_def_94, type, sK27: !>[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))).
% 43.05/6.37 thf(func_def_95, type, sK28: !>[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))).
% 43.05/6.37 thf(func_def_96, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 43.05/6.37 thf(func_def_97, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 43.05/6.37 thf(func_def_98, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_99, type, sK32: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 43.05/6.37 thf(func_def_100, type, sK33: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_101, type, sK34: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 43.05/6.37 thf(func_def_102, type, sK35: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 43.05/6.37 thf(func_def_103, type, sK36: !>[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))).
% 43.05/6.37 thf(func_def_104, type, sK37: !>[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))).
% 43.05/6.37 thf(func_def_105, type, sK38: !>[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))).
% 43.05/6.37 thf(func_def_106, type, sK39: !>[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))).
% 43.05/6.37 thf(func_def_107, type, sK40: !>[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))).
% 43.05/6.37 thf(func_def_108, type, sK41: !>[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))).
% 43.05/6.37 thf(func_def_109, type, sK42: !>[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))).
% 43.05/6.37 thf(func_def_110, type, sK43: !>[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))).
% 43.05/6.37 thf(func_def_111, type, sK44: !>[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))).
% 43.05/6.37 thf(func_def_112, type, sK45: !>[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))).
% 43.05/6.37 thf(func_def_113, type, sK46: !>[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))).
% 43.05/6.37 thf(func_def_114, type, sK47: !>[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))).
% 43.05/6.37 thf(func_def_115, type, sK48: !>[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))).
% 43.05/6.37 thf(func_def_116, type, sK49: !>[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))).
% 43.05/6.37 thf(func_def_117, type, sK50: !>[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))).
% 43.05/6.37 thf(func_def_118, type, sK51: !>[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))).
% 43.05/6.37 thf(func_def_119, type, sK52: !>[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))).
% 43.05/6.37 thf(func_def_120, type, sK53: !>[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))).
% 43.05/6.37 thf(func_def_121, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 43.05/6.37 thf(func_def_122, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 43.05/6.37 thf(func_def_123, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 43.05/6.37 thf(func_def_124, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_125, type, sK58: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_126, type, sK59: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_127, type, sK60: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_128, type, sK61: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_129, type, sK62: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_130, type, sK63: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 43.05/6.37 thf(func_def_131, type, sK64: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_132, type, sK65: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X0))).
% 43.05/6.37 thf(func_def_133, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 43.05/6.37 thf(func_def_134, type, sK67: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X1))).
% 43.05/6.37 thf(func_def_135, type, sK68: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 43.05/6.37 thf(func_def_136, type, sK69: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_137, type, sK70: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_138, type, sK71: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_139, type, sK72: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_140, type, sK73: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_141, type, sK74: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_142, type, sK75: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_143, type, sK76: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_144, type, sK77: !>[X0: $tType]:(X0)).
% 43.05/6.37 thf(func_def_145, type, sK78: !>[X0: $tType]:((set @ X0 > X0))).
% 43.05/6.37 thf(func_def_146, type, sK79: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X1))).
% 43.05/6.37 thf(func_def_147, type, sK80: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 43.05/6.37 thf(func_def_148, type, sK81: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 43.05/6.37 thf(func_def_149, type, sK82: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 43.05/6.37 thf(func_def_150, type, sK83: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 43.05/6.37 thf(func_def_151, type, sK84: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 43.05/6.37 thf(func_def_152, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ product_prod @ X3 @ X2 > (X2 > X0) > (X3 > X1) > product_prod @ X1 @ X0 > X3))).
% 43.05/6.37 thf(func_def_153, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ product_prod @ X3 @ X2 > (X2 > X0) > (X3 > X1) > product_prod @ X1 @ X0 > X2))).
% 43.05/6.37 thf(func_def_154, type, sK87: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 43.05/6.37 thf(func_def_155, type, sK88: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > product_prod @ X0 @ X1 > X0))).
% 43.05/6.37 thf(func_def_156, type, sK89: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > product_prod @ X0 @ X1 > X1))).
% 43.05/6.37 thf(func_def_157, type, sK90: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 43.05/6.37 thf(func_def_158, type, sK91: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 43.05/6.37 thf(func_def_159, type, sK92: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > set @ X0 > X0))).
% 43.05/6.37 thf(func_def_160, type, sK93: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 43.05/6.37 thf(func_def_161, type, sK94: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X1))).
% 43.05/6.37 thf(func_def_162, type, sK95: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X0))).
% 43.05/6.37 thf(func_def_163, type, sK96: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_164, type, sK97: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_165, type, sK98: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 43.05/6.37 thf(func_def_166, type, sK99: !>[X0: $tType]:((set @ X0 > X0))).
% 43.05/6.37 thf(func_def_167, type, sK100: !>[X0: $tType]:((set @ X0 > X0))).
% 43.05/6.37 thf(func_def_168, type, sK101: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > X1))).
% 43.05/6.37 thf(func_def_169, type, sK102: !>[X0: $tType]:((set @ X0 > X0))).
% 43.05/6.37 thf(func_def_170, type, sK103: !>[X0: $tType]:(((X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_171, type, sK104: !>[X0: $tType]:(((X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_172, type, sK105: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X0))).
% 43.05/6.37 thf(func_def_173, type, sK106: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X1))).
% 43.05/6.37 thf(func_def_174, type, sK107: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_175, type, sK108: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 43.05/6.37 thf(func_def_176, type, sK109: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > set @ X1))).
% 43.05/6.37 thf(func_def_177, type, sK110: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0) > X1))).
% 43.05/6.37 thf(func_def_178, type, sK111: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0 > X1))).
% 43.05/6.37 thf(func_def_179, type, sK112: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0 > X1))).
% 43.05/6.37 thf(func_def_180, type, sK113: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > X0))).
% 43.05/6.37 thf(func_def_181, type, sK114: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1))).
% 43.05/6.37 thf(func_def_182, type, sK115: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X0 > X1))).
% 43.05/6.37 thf(func_def_183, type, sK116: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_184, type, sK117: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_185, type, sK118: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_186, type, sK119: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_187, type, sK120: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_188, type, sK121: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_189, type, sK122: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_190, type, sK123: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_191, type, sK124: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_192, type, sK125: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_193, type, sK126: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_194, type, sK127: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_195, type, sK128: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_196, type, sK129: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_197, type, sK130: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_198, type, sK131: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 43.05/6.37 thf(func_def_200, type, db4: !>[X0: $tType]:(X0)).
% 43.05/6.37 thf(func_def_201, type, db5: !>[X0: $tType]:(X0)).
% 43.05/6.37 thf(f1,axiom,(
% 43.05/6.37 (member @ a @ z @ (prefer310429814s_good @ a @ y @ b @ pr))),
% 43.05/6.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms)).
% 43.05/6.37 thf(f21,axiom,(
% 43.05/6.37 ! [X0 : $tType] : (prefer310429814s_good @ X0 = (^[X1 : X0, X2 : set @ X0, X3 : set @ product_prod @ X0 @ X0] : ((collect @ X0 @ (^[X4 : X0] : ((member @ product_prod @ X0 @ X0 @ (product_Pair @ X0 @ X0 @ X4 @ X1) @ X3) & (member @ X0 @ X4 @ X2)))))))),
% 43.05/6.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_at__least__as__good__def)).
% 43.05/6.37 thf(f46,axiom,(
% 43.05/6.37 ! [X0 : $tType,X1 : X0,X2 : (X0 > $o)] : (((member @ X0 @ X1 @ (collect @ X0 @ X2))) = ((X2 @ X1)))),
% 43.05/6.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_mem__Collect__eq)).
% 43.05/6.37 thf(f148,axiom,(
% 43.05/6.37 ! [X0 : $tType,X1 : X0,X2 : $o] : (X2 & (top_top @ (X0 > $o) @ X1) = X2)),
% 43.05/6.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_top__conj_I1_J)).
% 43.05/6.37 thf(f290,conjecture,(
% 43.05/6.37 (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ pr)),
% 43.05/6.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 43.05/6.37 thf(f291,negated_conjecture,(
% 43.05/6.37 ~(member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ pr)),
% 43.05/6.37 inference(negated_conjecture,[status(cth)],[f290])).
% 43.05/6.37 thf(f292,plain,(
% 43.05/6.37 (member @ a @ z @ (prefer310429814s_good @ a @ y @ b @ pr))),
% 43.05/6.37 inference(rectify,[],[f1])).
% 43.05/6.37 thf(f293,plain,(
% 43.05/6.37 (((member @ a @ z @ (prefer310429814s_good @ a @ y @ b @ pr))) = $true)),
% 43.05/6.37 inference(fool_elimination,[],[f292])).
% 43.05/6.37 thf(f312,plain,(
% 43.05/6.37 ! [X0 : $tType] : (prefer310429814s_good @ X0 = (^[X1 : X0, X2 : set @ X0, X3 : set @ product_prod @ X0 @ X0] : ((collect @ X0 @ (^[X4 : X0] : ((member @ product_prod @ X0 @ X0 @ (product_Pair @ X0 @ X0 @ X4 @ X1) @ X3) & (member @ X0 @ X4 @ X2)))))))),
% 43.05/6.37 inference(rectify,[],[f21])).
% 43.05/6.37 thf(f313,plain,(
% 43.05/6.37 ! [X0 : $tType] : (prefer310429814s_good @ X0 = (^[Y0 : X0]: ((^[Y1 : set @ X0]: ((^[Y2 : set @ product_prod @ X0 @ X0]: (collect @ X0 @ (^[Y3 : X0]: ((member @ X0 @ Y3 @ Y1) & (member @ product_prod @ X0 @ X0 @ (product_Pair @ X0 @ X0 @ Y3 @ Y0) @ Y2))))))))))),
% 43.05/6.37 inference(fool_elimination,[],[f312])).
% 43.05/6.37 thf(f490,plain,(
% 43.05/6.37 ! [X0 : $tType,X1 : X0,X2 : $o] : (X2 & (top_top @ (X0 > $o) @ X1) = X2)),
% 43.05/6.37 inference(rectify,[],[f148])).
% 43.05/6.37 thf(f491,plain,(
% 43.05/6.37 ! [X0 : $tType,X1 : X0,X2 : $o] : ((((top_top @ (X0 > $o) @ X1) & X2)) = X2)),
% 43.05/6.37 inference(fool_elimination,[],[f490])).
% 43.05/6.37 thf(f748,plain,(
% 43.05/6.37 ~(member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ pr)),
% 43.05/6.37 inference(rectify,[],[f291])).
% 43.05/6.37 thf(f749,plain,(
% 43.05/6.37 ~ (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ pr)) = $true)),
% 43.05/6.37 inference(fool_elimination,[],[f748])).
% 43.05/6.37 thf(f761,plain,(
% 43.05/6.37 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ pr)) != $true)),
% 43.05/6.37 inference(flattening,[],[f749])).
% 43.05/6.37 thf(f1016,plain,(
% 43.05/6.37 (((member @ a @ z @ (prefer310429814s_good @ a @ y @ b @ pr))) = $true)),
% 43.05/6.37 inference(cnf_transformation,[],[f293])).
% 43.05/6.37 thf(f1037,plain,(
% 43.05/6.37 ( ! [X0 : $tType] : ((prefer310429814s_good @ X0 = (^[Y0 : X0]: ((^[Y1 : set @ X0]: ((^[Y2 : set @ product_prod @ X0 @ X0]: (collect @ X0 @ (^[Y3 : X0]: ((member @ X0 @ Y3 @ Y1) & (member @ product_prod @ X0 @ X0 @ (product_Pair @ X0 @ X0 @ Y3 @ Y0) @ Y2))))))))))) )),
% 43.05/6.37 inference(cnf_transformation,[],[f313])).
% 43.05/6.37 thf(f1066,plain,(
% 43.05/6.37 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : X0] : ((((member @ X0 @ X1 @ (collect @ X0 @ X2))) = ((X2 @ X1)))) )),
% 43.05/6.37 inference(cnf_transformation,[],[f46])).
% 43.05/6.37 thf(f1188,plain,(
% 43.05/6.37 ( ! [X0 : $tType,X2 : $o,X1 : X0] : (((((top_top @ (X0 > $o) @ X1) & X2)) = X2)) )),
% 43.05/6.37 inference(cnf_transformation,[],[f491])).
% 43.05/6.37 thf(f1347,plain,(
% 43.05/6.37 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ pr)) != $true)),
% 43.05/6.37 inference(cnf_transformation,[],[f761])).
% 43.05/6.37 thf(f1350,plain,(
% 43.05/6.37 ($true = ((member @ a @ z @ ((^[Y0 : a]: ((^[Y1 : set @ a]: ((^[Y2 : set @ product_prod @ a @ a]: (collect @ a @ (^[Y3 : a]: ((member @ a @ Y3 @ Y1) & (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ Y3 @ Y0) @ Y2))))))))) @ y @ b @ pr))))),
% 43.05/6.37 inference(definition_unfolding,[],[f1016,f1037])).
% 43.05/6.37 thf(f1662,plain,(
% 43.05/6.37 ( ! [X0 : $tType,X2 : $o,X1 : X0] : (($true = (((top_top @ (X0 > $o) @ X1) & X2))) | ($false = X2)) )),
% 43.05/6.37 inference(iff_proxy_clausification,[],[f1188])).
% 43.05/6.37 thf(f1665,plain,(
% 43.05/6.37 ( ! [X2 : $o] : (($true = X2) | ($false = X2)) )),
% 43.05/6.37 inference(and_proxy_clausification,[],[f1662])).
% 43.05/6.37 thf(f1741,plain,(
% 43.05/6.37 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : X0] : ((((member @ X0 @ X1 @ (collect @ X0 @ X2))) = $false) | (((X2 @ X1)) = $true)) )),
% 43.05/6.37 inference(iff_proxy_clausification,[],[f1066])).
% 43.05/6.37 thf(f1903,plain,(
% 43.05/6.37 ($true = ((member @ a @ z @ (collect @ a @ (^[Y0 : a]: ((member @ a @ Y0 @ b) & (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ Y0 @ y) @ pr)))))))),
% 43.05/6.37 inference(beta-eta_normalization,[],[f1350])).
% 43.05/6.37 thf(f1908,definition,(
% 43.05/6.37 spl132_2 <=> ! [X2 : $o] : (($false = X2) | ($true = X2))),
% 43.05/6.37 introduced(definition,[new_symbols(definition,[spl132_2])],[avatar_definition])).
% 43.05/6.37 thf(f1909,plain,(
% 43.05/6.37 ( ! [X2 : $o] : (($true = X2) | ($false = X2)) ) | ~spl132_2),
% 43.05/6.37 inference(avatar_component_clause,[],[f1908])).
% 43.05/6.37 thf(f1918,plain,(
% 43.05/6.37 spl132_2),
% 43.05/6.37 inference(avatar_split_clause,[],[f1665,f1908])).
% 43.05/6.37 thf(f1924,plain,(
% 43.05/6.37 ($true != $true) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ pr)) = $false) | ~spl132_2),
% 43.05/6.37 inference(constrained_superposition,[],[f1347,f1909])).
% 43.05/6.37 thf(f1926,plain,(
% 43.05/6.37 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ pr)) = $false) | ~spl132_2),
% 43.05/6.37 inference(trivial_inequality_removal,[],[f1924])).
% 43.05/6.37 thf(f63105,plain,(
% 43.05/6.37 ($true = $false) | ($true = (((^[Y0 : a]: ((member @ a @ Y0 @ b) & (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ Y0 @ y) @ pr))) @ z)))),
% 43.05/6.37 inference(constrained_superposition,[],[f1741,f1903])).
% 43.05/6.37 thf(f63291,plain,(
% 43.05/6.37 ($true = (((^[Y0 : a]: ((member @ a @ Y0 @ b) & (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ Y0 @ y) @ pr))) @ z)))),
% 43.05/6.37 inference(trivial_inequality_removal,[],[f63105])).
% 43.05/6.37 thf(f63292,plain,(
% 43.05/6.37 ($true = (((member @ a @ z @ b) & (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ pr))))),
% 43.05/6.37 inference(beta-eta_normalization,[],[f63291])).
% 43.05/6.37 thf(f63293,plain,(
% 43.05/6.37 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ pr)) = $true)),
% 43.05/6.37 inference(and_proxy_clausification,[],[f63292])).
% 43.05/6.37 thf(f63339,plain,(
% 43.05/6.37 ($true = $false) | ~spl132_2),
% 43.05/6.37 inference(forward_demodulation,[],[f63293,f1926])).
% 43.05/6.37 thf(f63340,plain,(
% 43.05/6.37 $false | ~spl132_2),
% 43.05/6.37 inference(trivial_inequality_removal,[],[f63339])).
% 43.05/6.37 thf(f63341,plain,(
% 43.05/6.37 ~spl132_2),
% 43.05/6.37 inference(avatar_contradiction_clause,[],[f63340])).
% 43.05/6.37 cnf(s3, plain, spl132_2, inference(sat_conversion,[],[f1918])).
% 43.05/6.37 cnf(s1540, plain, ~spl132_2, inference(sat_conversion,[],[f63341])).
% 43.05/6.37 cnf(s1578, plain, $false, inference(rat,[],[s3,s1540])).
% 43.05/6.37 thf(f63346,plain,(
% 43.05/6.37 $false),
% 43.05/6.37 inference(avatar_sat_refutation,[],[s1578])).
% 43.05/6.37 % SZS output end Proof for theBenchmark
% 43.05/6.37 % (1784830)------------------------------
% 43.05/6.37 % (1784830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.05/6.37 % (1784830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.05/6.37 % (1784830)CaDiCaL version: 2.1.3
% 43.05/6.37 % (1784830)Termination reason: Refutation
% 43.05/6.37 % (1784830)Time elapsed: 6.072 s
% 43.05/6.37 % (1784830)Peak memory usage: 62 MB
% 43.05/6.37 % (1784830)Instructions burned: 12400 (million)
% 43.05/6.37 % (1784824)Success in time 6.145 s
% 43.05/6.37 % Vampire exiting
%------------------------------------------------------------------------------