%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP026^2 : 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 : n017.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 08:10:25 AM UTC 2026
% Result : Theorem 50.77s 7.50s
% Output : Refutation 51.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP026^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n017.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 19:33:37 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 4.10/1.01 % (796537)Will run a generic schedule for satisfiability detection.
% 4.10/1.01 % (796545)dis+10_1_sil=32000:sp=arity:random_seed=4219850832:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.10/1.01 % (796543)% WARNING: option uhcvi not known.
% 4.10/1.01 % (796542)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3033025730_2999 on theBenchmark for (2999ds/0Mi)
% 4.10/1.01 % (796543)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4041256935:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.10/1.01 % (796544)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=523293293:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.10/1.01 % (796546)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4239727300:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.10/1.01 % (796548)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3993201019:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.10/1.01 % (796547)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3610326757:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.10/1.01 % (796545)Instruction limit reached!
% 4.10/1.01 % (796545)------------------------------
% 4.10/1.01 % (796545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.01 % (796545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.01 % (796545)CaDiCaL version: 2.1.3
% 4.10/1.01 % (796545)Termination reason: Instruction limit
% 4.10/1.01 % (796545)Termination phase: Saturation
% 4.10/1.01 % (796545)Time elapsed: 0.023 s
% 4.10/1.01 % (796545)Peak memory usage: 12 MB
% 4.10/1.01 % (796545)Instructions burned: 105 (million)
% 4.10/1.01 % (796546)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.10/1.01 % (796556)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=784383576:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.10/1.01 % (796543)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.10/1.01 % Exception at run slice level
% 4.10/1.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.10/1.01 % (796546)Instruction limit reached!
% 4.10/1.01 % (796546)------------------------------
% 4.10/1.01 % (796546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.01 % (796546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.01 % (796546)CaDiCaL version: 2.1.3
% 4.10/1.01 % (796546)Termination reason: Instruction limit
% 4.10/1.01 % (796546)Termination phase: Saturation
% 4.10/1.01 % (796546)Time elapsed: 0.049 s
% 4.10/1.01 % (796546)Peak memory usage: 12 MB
% 4.10/1.01 % (796546)Instructions burned: 116 (million)
% 4.10/1.01 % Exception at run slice level
% 4.10/1.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.10/1.01 % (796560)ott-21_1_sil=16000:fs=off:random_seed=3091060753:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.10/1.01 % (796558)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3926993673:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.10/1.01 % (796559)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=194415929:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.10/1.01 % (796543)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.10/1.01 % (796548)Instruction limit reached!
% 4.10/1.01 % (796548)------------------------------
% 4.10/1.01 % (796548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.01 % (796548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.01 % (796548)CaDiCaL version: 2.1.3
% 4.10/1.01 % (796548)Termination reason: Instruction limit
% 4.10/1.01 % (796548)Termination phase: Saturation
% 4.10/1.01 % (796548)Time elapsed: 0.072 s
% 4.10/1.01 % (796548)Peak memory usage: 13 MB
% 4.10/1.01 % (796548)Instructions burned: 160 (million)
% 4.10/1.01 % (796547)Instruction limit reached!
% 4.10/1.01 % (796547)------------------------------
% 4.10/1.01 % (796547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.01 % (796547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.57 % (796547)CaDiCaL version: 2.1.3
% 15.32/2.57 % (796547)Termination reason: Instruction limit
% 15.32/2.57 % (796547)Termination phase: Saturation
% 15.32/2.57 % (796547)Time elapsed: 0.073 s
% 15.32/2.57 % (796547)Peak memory usage: 13 MB
% 15.32/2.57 % (796547)Instructions burned: 132 (million)
% 15.32/2.57 % (796559)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.32/2.57 % (796560)Instruction limit reached!
% 15.32/2.57 % (796560)------------------------------
% 15.32/2.57 % (796560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.57 % (796560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.57 % (796560)CaDiCaL version: 2.1.3
% 15.32/2.57 % (796560)Termination reason: Instruction limit
% 15.32/2.57 % (796560)Termination phase: Saturation
% 15.32/2.57 % (796560)Time elapsed: 0.042 s
% 15.32/2.57 % (796560)Peak memory usage: 13 MB
% 15.32/2.57 % (796560)Instructions burned: 183 (million)
% 15.32/2.57 % (796564)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=18185435:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 15.32/2.57 % (796566)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=895207751:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 15.32/2.57 % (796565)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1401117337:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 15.32/2.57 % (796559)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 15.32/2.57 % (796558)Instruction limit reached!
% 15.32/2.57 % (796558)------------------------------
% 15.32/2.57 % (796558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.57 % (796558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.57 % (796558)CaDiCaL version: 2.1.3
% 15.32/2.57 % (796558)Termination reason: Instruction limit
% 15.32/2.57 % (796558)Termination phase: Saturation
% 15.32/2.57 % (796558)Time elapsed: 0.058 s
% 15.32/2.57 % (796558)Peak memory usage: 13 MB
% 15.32/2.57 % (796558)Instructions burned: 131 (million)
% 15.32/2.57 % (796570)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3800846428:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 15.32/2.57 % Exception at run slice level
% 15.32/2.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.32/2.57 % Exception at run slice level
% 15.32/2.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.32/2.57 % (796573)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=577082979:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 15.32/2.57 % (796572)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=4039948435: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)
% 15.32/2.57 % (796573)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.32/2.57 % (796572)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.32/2.57 % (796559)Instruction limit reached!
% 15.32/2.57 % (796559)------------------------------
% 15.32/2.57 % (796559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.57 % (796559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.57 % (796559)CaDiCaL version: 2.1.3
% 15.32/2.57 % (796559)Termination reason: Instruction limit
% 15.32/2.57 % (796559)Termination phase: Saturation
% 15.32/2.57 % (796559)Time elapsed: 0.234 s
% 15.32/2.57 % (796559)Peak memory usage: 14 MB
% 15.32/2.57 % (796559)Instructions burned: 687 (million)
% 15.32/2.57 % (796576)fmb+10_1_sil=64000:random_seed=2542152073:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 15.32/2.57 % (796564)Instruction limit reached!
% 15.32/2.57 % (796564)------------------------------
% 15.32/2.57 % (796564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.57 % (796564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.57 % (796564)CaDiCaL version: 2.1.3
% 15.32/2.57 % (796564)Termination reason: Instruction limit
% 15.32/2.57 % (796564)Termination phase: Saturation
% 15.32/2.57 % (796564)Time elapsed: 0.250 s
% 15.32/2.57 % (796564)Peak memory usage: 14 MB
% 15.32/2.57 % (796564)Instructions burned: 478 (million)
% 15.32/2.57 % (796576)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 37.98/5.64 % Exception at run slice level
% 37.98/5.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 37.98/5.64 % (796578)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=235025885:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 37.98/5.64 % (796579)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3438952042:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 37.98/5.64 % Exception at run slice level
% 37.98/5.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 37.98/5.64 % (796566)Instruction limit reached!
% 37.98/5.64 % (796566)------------------------------
% 37.98/5.64 % (796566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.98/5.64 % (796566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.98/5.64 % (796566)CaDiCaL version: 2.1.3
% 37.98/5.64 % (796566)Termination reason: Instruction limit
% 37.98/5.64 % (796566)Termination phase: Saturation
% 37.98/5.64 % (796566)Time elapsed: 0.314 s
% 37.98/5.64 % (796566)Peak memory usage: 21 MB
% 37.98/5.64 % (796566)Instructions burned: 1180 (million)
% 37.98/5.64 % Exception at run slice level
% 37.98/5.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 37.98/5.64 % (796583)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4121405735:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 37.98/5.64 % (796582)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=716168565:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 37.98/5.64 % (796584)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2745875986:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 37.98/5.64 % (796583)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 37.98/5.64 % (796583)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 37.98/5.64 % (796582)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 37.98/5.64 % Exception at run slice level
% 37.98/5.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 37.98/5.64 % (796588)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2348379986:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 37.98/5.64 % (796572)Instruction limit reached!
% 37.98/5.64 % (796572)------------------------------
% 37.98/5.64 % (796572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.98/5.64 % (796572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.98/5.64 % (796572)CaDiCaL version: 2.1.3
% 37.98/5.64 % (796572)Termination reason: Instruction limit
% 37.98/5.64 % (796572)Termination phase: Saturation
% 37.98/5.64 % (796572)Time elapsed: 0.312 s
% 37.98/5.64 % (796572)Peak memory usage: 15 MB
% 37.98/5.64 % (796572)Instructions burned: 693 (million)
% 37.98/5.64 % (796590)ott-2_1_sil=16000:newcnf=on:random_seed=2039609668:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 37.98/5.64 % Exception at run slice level
% 37.98/5.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 37.98/5.64 % (796590)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 37.98/5.64 % (796592)ott+10_1_sil=32000:tgt=ground:random_seed=3753713018:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 37.98/5.64 % (796573)Instruction limit reached!
% 37.98/5.64 % (796573)------------------------------
% 37.98/5.64 % (796573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.98/5.64 % (796573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.98/5.64 % (796573)CaDiCaL version: 2.1.3
% 37.98/5.64 % (796573)Termination reason: Instruction limit
% 37.98/5.64 % (796573)Termination phase: Saturation
% 37.98/5.64 % (796573)Time elapsed: 0.440 s
% 37.98/5.64 % (796573)Peak memory usage: 19 MB
% 37.98/5.64 % (796573)Instructions burned: 880 (million)
% 37.98/5.64 % (796594)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1972073012:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 37.98/5.64 % Exception at run slice level
% 37.98/5.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 37.98/5.64 % (796596)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=369535901:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 50.77/7.50 % (796596)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 50.77/7.50 % (796583)Instruction limit reached!
% 50.77/7.50 % (796583)------------------------------
% 50.77/7.50 % (796583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.77/7.50 % (796583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.77/7.50 % (796583)CaDiCaL version: 2.1.3
% 50.77/7.50 % (796583)Termination reason: Instruction limit
% 50.77/7.50 % (796583)Termination phase: Saturation
% 50.77/7.50 % (796583)Time elapsed: 0.394 s
% 50.77/7.50 % (796583)Peak memory usage: 17 MB
% 50.77/7.50 % (796583)Instructions burned: 1475 (million)
% 50.77/7.50 % (796598)dis+21_1_sil=32000:sas=cadical:random_seed=264942994:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 50.77/7.50 % (796590)Instruction limit reached!
% 50.77/7.50 % (796590)------------------------------
% 50.77/7.50 % (796590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.77/7.50 % (796590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.77/7.50 % (796590)CaDiCaL version: 2.1.3
% 50.77/7.50 % (796590)Termination reason: Instruction limit
% 50.77/7.50 % (796590)Termination phase: Saturation
% 50.77/7.50 % (796590)Time elapsed: 0.338 s
% 50.77/7.50 % (796590)Peak memory usage: 15 MB
% 50.77/7.50 % (796590)Instructions burned: 869 (million)
% 50.77/7.50 % (796600)ott+11_1_sil=16000:gs=on:random_seed=3719966250:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2990 on theBenchmark for (2990ds/2251Mi)
% 50.77/7.50 % (796600)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 50.77/7.50 % (796598)Instruction limit reached!
% 50.77/7.50 % (796598)------------------------------
% 50.77/7.50 % (796598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.77/7.50 % (796598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.77/7.50 % (796598)CaDiCaL version: 2.1.3
% 50.77/7.50 % (796598)Termination reason: Instruction limit
% 50.77/7.50 % (796598)Termination phase: Saturation
% 50.77/7.50 % (796598)Time elapsed: 0.950 s
% 50.77/7.50 % (796598)Peak memory usage: 30 MB
% 50.77/7.50 % (796598)Instructions burned: 3774 (million)
% 50.77/7.50 % (796602)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3335604810:fmbsr=1.6:i=67534_2981 on theBenchmark for (2981ds/67534Mi)
% 50.77/7.50 % Exception at run slice level
% 50.77/7.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.77/7.50 % (796604)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3051340790:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2981 on theBenchmark for (2981ds/4591Mi)
% 50.77/7.50 % (796596)Instruction limit reached!
% 50.77/7.50 % (796596)------------------------------
% 50.77/7.50 % (796596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.77/7.50 % (796596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.77/7.50 % (796596)CaDiCaL version: 2.1.3
% 50.77/7.50 % (796596)Termination reason: Instruction limit
% 50.77/7.50 % (796596)Termination phase: Saturation
% 50.77/7.50 % (796596)Time elapsed: 1.288 s
% 50.77/7.50 % (796596)Peak memory usage: 19 MB
% 50.77/7.50 % (796596)Instructions burned: 3519 (million)
% 50.77/7.50 % (796606)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3963081918:i=29340_2979 on theBenchmark for (2979ds/29340Mi)
% 50.77/7.50 % (796592)Instruction limit reached!
% 50.77/7.50 % (796592)------------------------------
% 50.77/7.50 % (796592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.77/7.50 % (796592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.77/7.50 % (796592)CaDiCaL version: 2.1.3
% 50.77/7.50 % (796592)Termination reason: Instruction limit
% 50.77/7.50 % (796592)Termination phase: Saturation
% 50.77/7.50 % (796592)Time elapsed: 1.619 s
% 50.77/7.50 % (796592)Peak memory usage: 18 MB
% 50.77/7.50 % (796592)Instructions burned: 5117 (million)
% 50.77/7.50 % (796608)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3750799715:i=5211_2977 on theBenchmark for (2977ds/5211Mi)
% 50.77/7.50 % (796600)Instruction limit reached!
% 50.77/7.50 % (796600)------------------------------
% 50.77/7.50 % (796600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.77/7.50 % (796600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.77/7.50 % (796600)CaDiCaL version: 2.1.3
% 50.77/7.50 % (796600)Termination reason: Instruction limit
% 50.77/7.50 % (796600)Termination phase: Saturation
% 50.77/7.50 % (796600)Time elapsed: 1.387 s
% 50.77/7.50 % (796600)Peak memory usage: 22 MB
% 50.77/7.50 % (796600)Instructions burned: 2252 (million)
% 50.77/7.50 % (796610)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3379404870:i=5497:nm=2_2976 on theBenchmark for (2976ds/5497Mi)
% 50.77/7.50 % Exception at run slice level
% 50.77/7.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.77/7.50 % (796612)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3036741614:fmbsr=2:i=46332_2975 on theBenchmark for (2975ds/46332Mi)
% 50.77/7.50 % Exception at run slice level
% 50.77/7.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.77/7.50 % (796614)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2168202160:i=14071_2975 on theBenchmark for (2975ds/14071Mi)
% 50.77/7.50 % Exception at run slice level
% 50.77/7.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.77/7.50 % (796616)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2262135526:i=22565:add=on:rawr=on_2974 on theBenchmark for (2974ds/22565Mi)
% 50.77/7.50 % (796582)Instruction limit reached!
% 50.77/7.50 % (796582)------------------------------
% 50.77/7.50 % (796582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.77/7.50 % (796582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.77/7.50 % (796582)CaDiCaL version: 2.1.3
% 50.77/7.50 % (796582)Termination reason: Instruction limit
% 50.77/7.50 % (796582)Termination phase: Saturation
% 50.77/7.50 % (796582)Time elapsed: 2.294 s
% 50.77/7.50 % (796582)Peak memory usage: 30 MB
% 50.77/7.50 % (796582)Instructions burned: 5132 (million)
% 50.77/7.50 % (796618)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2636339475:i=8173:av=off_2972 on theBenchmark for (2972ds/8173Mi)
% 50.77/7.50 % (796604)Instruction limit reached!
% 50.77/7.50 % (796604)------------------------------
% 50.77/7.50 % (796604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.77/7.50 % (796604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.77/7.50 % (796604)CaDiCaL version: 2.1.3
% 50.77/7.50 % (796604)Termination reason: Instruction limit
% 50.77/7.50 % (796604)Termination phase: Saturation
% 50.77/7.50 % (796604)Time elapsed: 1.230 s
% 50.77/7.50 % (796604)Peak memory usage: 25 MB
% 50.77/7.50 % (796604)Instructions burned: 4596 (million)
% 50.77/7.50 % (796620)dis+10_16:1_sil=16000:random_seed=86915828:i=9155:fsr=off_2968 on theBenchmark for (2968ds/9155Mi)
% 50.77/7.50 % (796608)Instruction limit reached!
% 50.77/7.50 % (796608)------------------------------
% 50.77/7.50 % (796608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.77/7.50 % (796608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.77/7.50 % (796608)CaDiCaL version: 2.1.3
% 50.77/7.50 % (796608)Termination reason: Instruction limit
% 50.77/7.50 % (796608)Termination phase: Saturation
% 50.77/7.50 % (796608)Time elapsed: 2.497 s
% 50.77/7.50 % (796608)Peak memory usage: 44 MB
% 50.77/7.50 % (796608)Instructions burned: 5213 (million)
% 50.77/7.50 % (796623)ott-3_8_sil=64000:random_seed=563618598:i=20139:bs=on_2952 on theBenchmark for (2952ds/20139Mi)
% 50.77/7.50 % (796618)Instruction limit reached!
% 50.77/7.50 % (796618)------------------------------
% 50.77/7.50 % (796618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.77/7.50 % (796618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.77/7.50 % (796618)CaDiCaL version: 2.1.3
% 50.77/7.50 % (796618)Termination reason: Instruction limit
% 50.77/7.50 % (796618)Termination phase: Saturation
% 50.77/7.50 % (796618)Time elapsed: 2.555 s
% 50.77/7.50 % (796618)Peak memory usage: 21 MB
% 50.77/7.50 % (796618)Instructions burned: 8174 (million)
% 50.77/7.50 % (796625)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=1522701416:fmbsr=2:i=32576_2946 on theBenchmark for (2946ds/32576Mi)
% 50.77/7.50 % (796620)Instruction limit reached!
% 50.77/7.50 % (796620)------------------------------
% 50.77/7.50 % (796620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.77/7.50 % (796620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.77/7.50 % (796620)CaDiCaL version: 2.1.3
% 50.77/7.50 % (796620)Termination reason: Instruction limit
% 50.77/7.50 % (796620)Termination phase: Saturation
% 50.77/7.50 % (796620)Time elapsed: 2.277 s
% 50.77/7.50 % (796620)Peak memory usage: 45 MB
% 50.77/7.50 % (796620)Instructions burned: 9158 (million)
% 50.77/7.50 % Exception at run slice level
% 50.77/7.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.77/7.50 % (796627)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=2229474449:i=11404_2945 on theBenchmark for (2945ds/11404Mi)
% 50.77/7.50 % (796628)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=3431590183:i=14134_2945 on theBenchmark for (2945ds/14134Mi)
% 50.77/7.50 % (796628)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 50.77/7.50 % (796543) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-796537-796543"...
% 50.77/7.50 % (796543)...printing done.
% 50.77/7.50 % (796543)Refutation found. Thanks to Tanya!
% 50.77/7.50 % SZS status Theorem for theBenchmark
% 50.77/7.50 % SZS output start Proof for theBenchmark
% 50.77/7.50 thf(type_def_5, type, carrier_ext: ($tType * $tType) > $tType).
% 50.77/7.50 thf(type_def_6, type, module_ext: ($tType * $tType * $tType) > $tType).
% 50.77/7.50 thf(type_def_7, type, aGroup_ext: ($tType * $tType) > $tType).
% 50.77/7.50 thf(type_def_8, type, ring_ext: ($tType * $tType) > $tType).
% 50.77/7.50 thf(type_def_9, type, product_unit: $tType).
% 50.77/7.50 thf(type_def_10, type, set: $tType > $tType).
% 50.77/7.50 thf(type_def_11, type, nat: $tType).
% 50.77/7.50 thf(type_def_12, type, f: $tType).
% 50.77/7.50 thf(type_def_13, type, e: $tType).
% 50.77/7.50 thf(type_def_14, type, d: $tType).
% 50.77/7.50 thf(type_def_15, type, c: $tType).
% 50.77/7.50 thf(type_def_16, type, b: $tType).
% 50.77/7.50 thf(type_def_17, type, a: $tType).
% 50.77/7.50 thf(type_def_18, type, sTfun: ($tType * $tType) > $tType).
% 50.77/7.50 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 50.77/7.50 thf(func_def_1, type, zero: !>[X0: $tType]:($o)).
% 50.77/7.50 thf(func_def_2, type, order: !>[X0: $tType]:($o)).
% 50.77/7.50 thf(func_def_3, type, group_add: !>[X0: $tType]:($o)).
% 50.77/7.50 thf(func_def_4, type, wellorder: !>[X0: $tType]:($o)).
% 50.77/7.50 thf(func_def_5, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 50.77/7.50 thf(func_def_6, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 50.77/7.50 thf(func_def_7, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 50.77/7.50 thf(func_def_8, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 50.77/7.50 thf(func_def_9, type, carrier: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ X1 > set @ X0))).
% 50.77/7.50 thf(func_def_10, type, ring: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > $o))).
% 50.77/7.50 thf(func_def_11, type, zero2: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ X1 > X0))).
% 50.77/7.50 thf(func_def_12, type, ideal: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > $o))).
% 50.77/7.50 thf(func_def_13, type, annihilator: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > set @ X0))).
% 50.77/7.50 thf(func_def_14, type, hom: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > carrier_ext @ X4 @ aGroup_ext @ X4 @ module_ext @ X4 @ X0 @ X5 > carrier_ext @ (X2 > X4) @ aGroup_ext @ (X2 > X4) @ module_ext @ (X2 > X4) @ X0 @ product_unit))).
% 50.77/7.50 thf(func_def_15, type, module: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ module_ext @ X0 @ X1 @ X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X3 > $o))).
% 50.77/7.50 thf(func_def_16, type, free_generator: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > set @ X2 > $o))).
% 50.77/7.50 thf(func_def_17, type, generator: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > set @ X2 > $o))).
% 50.77/7.50 thf(func_def_18, type, l_comb: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > nat > (nat > X0) > (nat > X2) > X2))).
% 50.77/7.50 thf(func_def_19, type, linear_span: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > set @ X0 > set @ X2 > set @ X2))).
% 50.77/7.50 thf(func_def_20, type, mdl: !>[X0: $tType, X1: $tType, X2: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ module_ext @ X0 @ X1 @ X2 > set @ X0 > carrier_ext @ X0 @ aGroup_ext @ X0 @ module_ext @ X0 @ X1 @ product_unit))).
% 50.77/7.50 thf(func_def_21, type, misomorphic: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > carrier_ext @ X4 @ aGroup_ext @ X4 @ module_ext @ X4 @ X0 @ X5 > $o))).
% 50.77/7.50 thf(func_def_22, type, quotie135653060odules: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > set @ X2 > set @ X2 > set @ X0))).
% 50.77/7.50 thf(func_def_23, type, smodule_ideal_coeff: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > set @ X0 > set @ X2))).
% 50.77/7.50 thf(func_def_24, type, submodule: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > set @ X2 > $o))).
% 50.77/7.50 thf(func_def_25, type, algebr833503410le_fgs: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > set @ X2 > set @ X2))).
% 50.77/7.50 thf(func_def_26, type, pi: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ (X0 > X1)))).
% 50.77/7.50 thf(func_def_27, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 50.77/7.50 thf(func_def_28, type, zero_zero: !>[X0: $tType]:(X0)).
% 50.77/7.50 thf(func_def_29, type, suc: (nat > nat)).
% 50.77/7.50 thf(func_def_30, type, bot_bot: !>[X0: $tType]:(X0)).
% 50.77/7.50 thf(func_def_31, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 50.77/7.50 thf(func_def_32, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 50.77/7.50 thf(func_def_33, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 50.77/7.50 thf(func_def_34, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 50.77/7.50 thf(func_def_35, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 50.77/7.50 thf(func_def_36, type, h: set @ a).
% 50.77/7.50 thf(func_def_37, type, h1: set @ a).
% 50.77/7.50 thf(func_def_38, type, m: carrier_ext @ a @ aGroup_ext @ a @ module_ext @ a @ b @ c).
% 50.77/7.50 thf(func_def_39, type, n: carrier_ext @ e @ aGroup_ext @ e @ module_ext @ e @ b @ f).
% 50.77/7.50 thf(func_def_40, type, r: carrier_ext @ b @ aGroup_ext @ b @ ring_ext @ b @ d).
% 50.77/7.50 thf(func_def_41, type, g: (nat > a)).
% 50.77/7.50 thf(func_def_42, type, h2: a).
% 50.77/7.50 thf(func_def_43, type, m2: nat).
% 50.77/7.50 thf(func_def_44, type, t: (nat > b)).
% 50.77/7.50 thf(func_def_45, type, x: a).
% 50.77/7.50 thf(func_def_46, type, xa: nat).
% 50.77/7.50 thf(func_def_50, type, db0: !>[X0: $tType]:(X0)).
% 50.77/7.50 thf(func_def_51, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 50.77/7.50 thf(func_def_52, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 50.77/7.50 thf(func_def_53, type, vNOT: ($o > $o)).
% 50.77/7.50 thf(func_def_54, type, vOR: ($o > $o > $o)).
% 50.77/7.50 thf(func_def_55, type, db1: !>[X0: $tType]:(X0)).
% 50.77/7.50 thf(func_def_56, type, vAND: ($o > $o > $o)).
% 50.77/7.50 thf(func_def_57, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 50.77/7.50 thf(func_def_58, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 50.77/7.50 thf(func_def_59, type, vIMP: ($o > $o > $o)).
% 50.77/7.50 thf(func_def_60, type, sK0: ((nat > a) > (nat > a) > nat > nat)).
% 50.77/7.50 thf(func_def_61, type, sK1: ((nat > a) > (nat > a) > nat > nat)).
% 50.77/7.50 thf(func_def_62, type, sK2: (a > set @ a > nat)).
% 50.77/7.50 thf(func_def_63, type, sK3: (a > set @ a > nat > a)).
% 50.77/7.50 thf(func_def_64, type, sK4: (a > set @ a > nat > b)).
% 50.77/7.50 thf(func_def_65, type, sK5: (a > set @ b > nat)).
% 50.77/7.50 thf(func_def_66, type, sK6: (a > set @ b > nat > b)).
% 50.77/7.50 thf(func_def_67, type, sK7: (a > set @ b > nat > a)).
% 50.77/7.50 thf(func_def_68, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X3 > set @ X3 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X2 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X0 @ X1 > nat))).
% 50.77/7.50 thf(func_def_69, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X3 > set @ X3 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X2 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X0 @ X1 > nat > X3))).
% 50.77/7.50 thf(func_def_70, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X3 > set @ X3 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X2 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X0 @ X1 > nat > X0))).
% 50.77/7.50 thf(func_def_71, type, sK11: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat > nat))).
% 50.77/7.50 thf(func_def_72, type, sK12: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat > nat))).
% 50.77/7.50 thf(func_def_73, type, sK13: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 50.77/7.50 thf(func_def_74, type, sK14: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 50.77/7.50 thf(func_def_75, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 50.77/7.50 thf(func_def_76, type, sK16: ((nat > $o) > nat)).
% 50.77/7.50 thf(func_def_77, type, sK17: (nat > (nat > $o) > nat)).
% 50.77/7.50 thf(func_def_78, type, sK18: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 50.77/7.50 thf(func_def_79, type, sK19: ((nat > $o) > nat)).
% 50.77/7.50 thf(func_def_80, type, sK20: ((nat > $o) > nat)).
% 50.77/7.50 thf(func_def_81, type, sK21: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_82, type, sK22: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_83, type, sK23: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_84, type, sK24: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_85, type, sK25: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_86, type, sK26: ((nat > $o) > nat > nat)).
% 50.77/7.50 thf(func_def_87, type, sK27: ((nat > $o) > nat)).
% 50.77/7.50 thf(func_def_88, type, sK28: (nat > nat)).
% 50.77/7.50 thf(func_def_89, type, sK29: (nat > nat)).
% 50.77/7.50 thf(func_def_90, type, sK30: ((nat > $o) > nat)).
% 50.77/7.50 thf(func_def_91, type, sK31: (nat > nat)).
% 50.77/7.50 thf(func_def_92, type, sK32: ((nat > $o) > nat)).
% 50.77/7.50 thf(func_def_93, type, sK33: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_94, type, sK34: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_95, type, sK35: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_96, type, sK36: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_97, type, sK37: ((nat > $o) > nat)).
% 50.77/7.50 thf(func_def_98, type, sK38: ((nat > nat) > nat)).
% 50.77/7.50 thf(func_def_99, type, sK39: ((nat > nat) > nat)).
% 50.77/7.50 thf(func_def_100, type, sK40: ((nat > $o) > nat > nat)).
% 50.77/7.50 thf(func_def_101, type, sK41: ((nat > $o) > nat > nat)).
% 50.77/7.50 thf(func_def_102, type, sK42: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_103, type, sK43: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_104, type, sK44: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_105, type, sK45: ((nat > nat > $o) > nat)).
% 50.77/7.50 thf(func_def_106, type, sK46: (nat > nat > nat)).
% 50.77/7.50 thf(func_def_107, type, sK47: (nat > nat > nat)).
% 50.77/7.50 thf(func_def_108, type, sK48: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 50.77/7.50 thf(func_def_109, type, sK49: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 50.77/7.50 thf(func_def_110, type, sK50: ((nat > $o) > nat)).
% 50.77/7.50 thf(func_def_111, type, sK51: ((nat > $o) > nat)).
% 50.77/7.50 thf(func_def_112, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X3 > set @ X0 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X2 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X0 @ X1 > nat))).
% 50.77/7.50 thf(func_def_113, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X3 > set @ X0 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X2 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X0 @ X1 > nat > X0))).
% 50.77/7.50 thf(func_def_114, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X3 > set @ X0 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X2 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X0 @ X1 > nat > X3))).
% 50.77/7.50 thf(func_def_115, type, sK55: !>[X0: $tType]:(((nat > X0) > nat))).
% 50.77/7.50 thf(func_def_116, type, sK56: !>[X0: $tType]:(((nat > X0) > nat))).
% 50.77/7.50 thf(func_def_117, type, sK57: !>[X0: $tType]:(((nat > X0) > nat))).
% 50.77/7.50 thf(func_def_118, type, sK58: !>[X0: $tType]:(((nat > X0) > nat))).
% 50.77/7.50 thf(func_def_119, type, sK59: ((nat > $o) > nat > nat > nat)).
% 50.77/7.50 thf(func_def_120, type, sK60: ((nat > $o) > nat > nat > nat)).
% 50.77/7.50 thf(func_def_121, type, sK61: (nat > (nat > $o) > nat)).
% 50.77/7.50 thf(func_def_122, type, sK62: (nat > nat)).
% 50.77/7.50 thf(func_def_123, type, sK63: (nat > (nat > $o) > nat)).
% 50.77/7.50 thf(func_def_124, type, sK64: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 50.77/7.50 thf(func_def_125, type, sK65: !>[X0: $tType]:(((X0 > $o) > X0))).
% 50.77/7.50 thf(func_def_126, type, sK66: !>[X0: $tType]:(((X0 > $o) > X0))).
% 50.77/7.50 thf(func_def_127, type, sK67: !>[X0: $tType]:((set @ X0 > X0))).
% 50.77/7.50 thf(func_def_128, type, sK68: ((nat > $o) > nat > nat)).
% 50.77/7.50 thf(func_def_129, type, sK69: ((nat > $o) > nat > nat)).
% 50.77/7.50 thf(func_def_130, type, sK70: (nat > nat)).
% 50.77/7.50 thf(func_def_131, type, sK71: ((nat > $o) > nat > nat)).
% 50.77/7.50 thf(func_def_132, type, sK72: ((nat > $o) > nat > nat)).
% 50.77/7.50 thf(func_def_133, type, sK73: (nat > nat > nat)).
% 50.77/7.50 thf(func_def_134, type, sK74: ((nat > $o) > nat > nat)).
% 50.77/7.50 thf(func_def_135, type, sK75: ((nat > $o) > nat > nat)).
% 50.77/7.50 thf(func_def_136, type, sK76: ((nat > $o) > nat > nat)).
% 50.77/7.50 thf(func_def_137, type, sK77: ((nat > $o) > nat > nat)).
% 50.77/7.50 thf(func_def_138, type, sK78: (nat > nat > nat)).
% 50.77/7.50 thf(func_def_140, type, db2: !>[X0: $tType]:(X0)).
% 50.77/7.50 thf(func_def_141, type, db4: !>[X0: $tType]:(X0)).
% 50.77/7.50 thf(func_def_142, type, db3: !>[X0: $tType]:(X0)).
% 50.77/7.50 thf(f27,axiom,(
% 50.77/7.50 ! [X0 : nat] : ((ord_less @ nat @ zero_zero @ nat @ X0) => (((suc @ (minus_minus @ nat @ X0 @ (suc @ zero_zero @ nat)))) = X0))),
% 50.77/7.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_Suc__pred)).
% 50.77/7.50 thf(f78,axiom,(
% 50.77/7.50 ! [X0 : nat] : ~(ord_less @ nat @ X0 @ X0)),
% 50.77/7.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_less__irrefl__nat)).
% 50.77/7.50 thf(f93,axiom,(
% 50.77/7.50 ! [X0 : nat,X1 : nat] : ((ord_less_eq @ nat @ X0 @ X1) => (ord_less_eq @ nat @ X0 @ (suc @ X1)))),
% 50.77/7.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_le__SucI)).
% 50.77/7.50 thf(f115,axiom,(
% 50.77/7.50 ! [X0 : nat,X1 : nat] : (((X0 = X1) | (ord_less @ nat @ X0 @ X1)) => (ord_less_eq @ nat @ X0 @ X1))),
% 50.77/7.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_less__or__eq__imp__le)).
% 50.77/7.50 thf(f162,axiom,(
% 50.77/7.50 ! [X0 : nat,X1 : nat] : ((ord_less_eq @ nat @ X0 @ X1) => (ord_less @ nat @ X0 @ (suc @ X1)))),
% 50.77/7.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_le__imp__less__Suc)).
% 50.77/7.50 thf(f266,axiom,(
% 50.77/7.50 ! [X0 : nat] : ((ord_less_eq @ nat @ X0 @ m2) => ! [X1 : nat] : ((ord_less_eq @ nat @ X1 @ m2) => ((((g @ X0)) = ((g @ X1))) => (X0 = X1))))),
% 50.77/7.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 50.77/7.50 thf(f268,axiom,(
% 50.77/7.50 (((g @ m2)) = h2)),
% 50.77/7.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3)).
% 50.77/7.50 thf(f281,axiom,(
% 50.77/7.50 (ord_less @ nat @ zero_zero @ nat @ m2)),
% 50.77/7.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_16)).
% 50.77/7.50 thf(f284,axiom,(
% 50.77/7.50 (ord_less_eq @ nat @ xa @ (minus_minus @ nat @ m2 @ (suc @ zero_zero @ nat)))),
% 50.77/7.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_19)).
% 50.77/7.50 thf(f285,axiom,(
% 50.77/7.50 (member @ a @ (g @ xa) @ h1) | (((g @ xa)) = h2)),
% 50.77/7.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_20)).
% 50.77/7.50 thf(f286,conjecture,(
% 50.77/7.50 (member @ a @ (g @ xa) @ h1)),
% 50.77/7.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_21)).
% 50.77/7.50 thf(f287,negated_conjecture,(
% 50.77/7.50 ~(member @ a @ (g @ xa) @ h1)),
% 50.77/7.50 inference(negated_conjecture,[status(cth)],[f286])).
% 50.77/7.50 thf(f340,plain,(
% 50.77/7.50 ! [X0 : nat] : ((ord_less @ nat @ zero_zero @ nat @ X0) => (((suc @ (minus_minus @ nat @ X0 @ (suc @ zero_zero @ nat)))) = X0))),
% 50.77/7.50 inference(rectify,[],[f27])).
% 50.77/7.50 thf(f341,plain,(
% 50.77/7.50 ! [X0 : nat] : ((((ord_less @ nat @ zero_zero @ nat @ X0)) = $true) => (((suc @ (minus_minus @ nat @ X0 @ (suc @ zero_zero @ nat)))) = X0))),
% 50.77/7.50 inference(fool_elimination,[],[f340])).
% 50.77/7.50 thf(f414,plain,(
% 50.77/7.50 ! [X0 : nat] : ~(ord_less @ nat @ X0 @ X0)),
% 50.77/7.50 inference(rectify,[],[f78])).
% 50.77/7.50 thf(f415,plain,(
% 50.77/7.50 ! [X0 : nat] : ~ (((ord_less @ nat @ X0 @ X0)) = $true)),
% 50.77/7.50 inference(fool_elimination,[],[f414])).
% 50.77/7.50 thf(f442,plain,(
% 50.77/7.50 ! [X0 : nat,X1 : nat] : ((ord_less_eq @ nat @ X0 @ X1) => (ord_less_eq @ nat @ X0 @ (suc @ X1)))),
% 50.77/7.50 inference(rectify,[],[f93])).
% 50.77/7.50 thf(f443,plain,(
% 50.77/7.50 ! [X0 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X0 @ X1)) = $true) => (((ord_less_eq @ nat @ X0 @ (suc @ X1))) = $true))),
% 50.77/7.50 inference(fool_elimination,[],[f442])).
% 50.77/7.50 thf(f466,plain,(
% 50.77/7.50 ! [X0 : nat,X1 : nat] : (((X0 = X1) | (ord_less @ nat @ X0 @ X1)) => (ord_less_eq @ nat @ X0 @ X1))),
% 50.77/7.50 inference(rectify,[],[f115])).
% 50.77/7.50 thf(f467,plain,(
% 50.77/7.50 ! [X0 : nat,X1 : nat] : (((X0 = X1) | (((ord_less @ nat @ X0 @ X1)) = $true)) => (((ord_less_eq @ nat @ X0 @ X1)) = $true))),
% 50.77/7.50 inference(fool_elimination,[],[f466])).
% 50.77/7.50 thf(f556,plain,(
% 50.77/7.50 ! [X0 : nat,X1 : nat] : ((ord_less_eq @ nat @ X0 @ X1) => (ord_less @ nat @ X0 @ (suc @ X1)))),
% 50.77/7.50 inference(rectify,[],[f162])).
% 50.77/7.50 thf(f557,plain,(
% 50.77/7.50 ! [X0 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X0 @ X1)) = $true) => (((ord_less @ nat @ X0 @ (suc @ X1))) = $true))),
% 50.77/7.50 inference(fool_elimination,[],[f556])).
% 50.77/7.50 thf(f744,plain,(
% 50.77/7.50 ! [X0 : nat] : ((ord_less_eq @ nat @ X0 @ m2) => ! [X1 : nat] : ((ord_less_eq @ nat @ X1 @ m2) => ((((g @ X0)) = ((g @ X1))) => (X0 = X1))))),
% 50.77/7.50 inference(rectify,[],[f266])).
% 50.77/7.50 thf(f745,plain,(
% 50.77/7.50 ! [X0 : nat] : ((((ord_less_eq @ nat @ X0 @ m2)) = $true) => ! [X1 : nat] : ((((ord_less_eq @ nat @ X1 @ m2)) = $true) => ((((g @ X0)) = ((g @ X1))) => (X0 = X1))))),
% 50.77/7.50 inference(fool_elimination,[],[f744])).
% 50.77/7.50 thf(f768,plain,(
% 50.77/7.50 (ord_less @ nat @ zero_zero @ nat @ m2)),
% 50.77/7.50 inference(rectify,[],[f281])).
% 50.77/7.50 thf(f769,plain,(
% 50.77/7.50 (((ord_less @ nat @ zero_zero @ nat @ m2)) = $true)),
% 50.77/7.50 inference(fool_elimination,[],[f768])).
% 50.77/7.50 thf(f774,plain,(
% 50.77/7.50 (ord_less_eq @ nat @ xa @ (minus_minus @ nat @ m2 @ (suc @ zero_zero @ nat)))),
% 50.77/7.50 inference(rectify,[],[f284])).
% 50.77/7.50 thf(f775,plain,(
% 50.77/7.50 (((ord_less_eq @ nat @ xa @ (minus_minus @ nat @ m2 @ (suc @ zero_zero @ nat)))) = $true)),
% 50.77/7.50 inference(fool_elimination,[],[f774])).
% 50.77/7.50 thf(f776,plain,(
% 50.77/7.50 (member @ a @ (g @ xa) @ h1) | (((g @ xa)) = h2)),
% 50.77/7.50 inference(rectify,[],[f285])).
% 50.77/7.50 thf(f777,plain,(
% 50.77/7.50 (((member @ a @ (g @ xa) @ h1)) = $true) | (h2 = ((g @ xa)))),
% 50.77/7.50 inference(fool_elimination,[],[f776])).
% 50.77/7.50 thf(f778,plain,(
% 50.77/7.50 ~(member @ a @ (g @ xa) @ h1)),
% 50.77/7.50 inference(rectify,[],[f287])).
% 50.77/7.50 thf(f779,plain,(
% 50.77/7.50 ~ (((member @ a @ (g @ xa) @ h1)) = $true)),
% 50.77/7.50 inference(fool_elimination,[],[f778])).
% 50.77/7.50 thf(f786,plain,(
% 50.77/7.50 ! [X0 : nat] : (((ord_less @ nat @ X0 @ X0)) != $true)),
% 50.77/7.50 inference(flattening,[],[f415])).
% 50.77/7.50 thf(f804,plain,(
% 50.77/7.50 (((member @ a @ (g @ xa) @ h1)) != $true)),
% 50.77/7.50 inference(flattening,[],[f779])).
% 50.77/7.50 thf(f841,plain,(
% 50.77/7.50 ! [X0 : nat] : ((((suc @ (minus_minus @ nat @ X0 @ (suc @ zero_zero @ nat)))) = X0) | (((ord_less @ nat @ zero_zero @ nat @ X0)) != $true))),
% 50.77/7.50 inference(ennf_transformation,[],[f341])).
% 50.77/7.50 thf(f898,plain,(
% 50.77/7.50 ! [X0 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X0 @ (suc @ X1))) = $true) | (((ord_less_eq @ nat @ X0 @ X1)) != $true))),
% 50.77/7.50 inference(ennf_transformation,[],[f443])).
% 50.77/7.50 thf(f918,plain,(
% 50.77/7.50 ! [X0 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X0 @ X1)) = $true) | ((X0 != X1) & (((ord_less @ nat @ X0 @ X1)) != $true)))),
% 50.77/7.50 inference(ennf_transformation,[],[f467])).
% 50.77/7.50 thf(f972,plain,(
% 50.77/7.50 ! [X0 : nat,X1 : nat] : ((((ord_less @ nat @ X0 @ (suc @ X1))) = $true) | (((ord_less_eq @ nat @ X0 @ X1)) != $true))),
% 50.77/7.50 inference(ennf_transformation,[],[f557])).
% 51.52/7.50 thf(f1066,plain,(
% 51.52/7.50 ! [X0 : nat] : (! [X1 : nat] : (((X0 = X1) | (((g @ X0)) != ((g @ X1)))) | (((ord_less_eq @ nat @ X1 @ m2)) != $true)) | (((ord_less_eq @ nat @ X0 @ m2)) != $true))),
% 51.52/7.50 inference(ennf_transformation,[],[f745])).
% 51.52/7.50 thf(f1067,plain,(
% 51.52/7.50 ! [X0 : nat] : (! [X1 : nat] : ((X0 = X1) | (((g @ X0)) != ((g @ X1))) | (((ord_less_eq @ nat @ X1 @ m2)) != $true)) | (((ord_less_eq @ nat @ X0 @ m2)) != $true))),
% 51.52/7.50 inference(flattening,[],[f1066])).
% 51.52/7.50 thf(f1151,plain,(
% 51.52/7.50 ( ! [X0 : nat] : ((((ord_less @ nat @ zero_zero @ nat @ X0)) != $true) | (((suc @ (minus_minus @ nat @ X0 @ (suc @ zero_zero @ nat)))) = X0)) )),
% 51.52/7.50 inference(cnf_transformation,[],[f841])).
% 51.52/7.50 thf(f1212,plain,(
% 51.52/7.50 ( ! [X0 : nat] : ((((ord_less @ nat @ X0 @ X0)) != $true)) )),
% 51.52/7.50 inference(cnf_transformation,[],[f786])).
% 51.52/7.50 thf(f1232,plain,(
% 51.52/7.50 ( ! [X0 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X0 @ X1)) != $true) | (((ord_less_eq @ nat @ X0 @ (suc @ X1))) = $true)) )),
% 51.52/7.50 inference(cnf_transformation,[],[f898])).
% 51.52/7.50 thf(f1260,plain,(
% 51.52/7.50 ( ! [X0 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X0 @ X1)) = $true) | (X0 != X1)) )),
% 51.52/7.50 inference(cnf_transformation,[],[f918])).
% 51.52/7.50 thf(f1328,plain,(
% 51.52/7.50 ( ! [X0 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X0 @ X1)) != $true) | (((ord_less @ nat @ X0 @ (suc @ X1))) = $true)) )),
% 51.52/7.50 inference(cnf_transformation,[],[f972])).
% 51.52/7.50 thf(f1444,plain,(
% 51.52/7.50 ( ! [X0 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X1 @ m2)) != $true) | (((g @ X0)) != ((g @ X1))) | (X0 = X1) | (((ord_less_eq @ nat @ X0 @ m2)) != $true)) )),
% 51.52/7.50 inference(cnf_transformation,[],[f1067])).
% 51.52/7.50 thf(f1446,plain,(
% 51.52/7.50 (h2 = ((g @ m2)))),
% 51.52/7.50 inference(cnf_transformation,[],[f268])).
% 51.52/7.50 thf(f1458,plain,(
% 51.52/7.50 (((ord_less @ nat @ zero_zero @ nat @ m2)) = $true)),
% 51.52/7.50 inference(cnf_transformation,[],[f769])).
% 51.52/7.50 thf(f1461,plain,(
% 51.52/7.50 (((ord_less_eq @ nat @ xa @ (minus_minus @ nat @ m2 @ (suc @ zero_zero @ nat)))) = $true)),
% 51.52/7.50 inference(cnf_transformation,[],[f775])).
% 51.52/7.50 thf(f1462,plain,(
% 51.52/7.50 (((member @ a @ (g @ xa) @ h1)) = $true) | (h2 = ((g @ xa)))),
% 51.52/7.50 inference(cnf_transformation,[],[f777])).
% 51.52/7.50 thf(f1463,plain,(
% 51.52/7.50 (((member @ a @ (g @ xa) @ h1)) != $true)),
% 51.52/7.50 inference(cnf_transformation,[],[f804])).
% 51.52/7.50 thf(f1465,definition,(
% 51.52/7.50 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 51.52/7.50 introduced(theory,[fool_exhaustiveness_axiom])).
% 51.52/7.50 thf(f1469,plain,(
% 51.52/7.50 ( ! [X1 : nat] : (($true = ((ord_less_eq @ nat @ X1 @ X1)))) )),
% 51.52/7.50 inference(equality_resolution,[],[f1260])).
% 51.52/7.50 thf(f1789,definition,(
% 51.52/7.50 spl79_1 <=> (h2 = ((g @ xa)))),
% 51.52/7.50 introduced(definition,[new_symbols(definition,[spl79_1])],[avatar_definition])).
% 51.52/7.50 thf(f1791,plain,(
% 51.52/7.50 (h2 = ((g @ xa))) | ~spl79_1),
% 51.52/7.50 inference(avatar_component_clause,[],[f1789])).
% 51.52/7.50 thf(f1793,definition,(
% 51.52/7.50 spl79_2 <=> (((member @ a @ (g @ xa) @ h1)) = $true)),
% 51.52/7.50 introduced(definition,[new_symbols(definition,[spl79_2])],[avatar_definition])).
% 51.52/7.50 thf(f1796,plain,(
% 51.52/7.50 spl79_1 | spl79_2),
% 51.52/7.50 inference(avatar_split_clause,[],[f1462,f1793,f1789])).
% 51.52/7.50 thf(f1797,plain,(
% 51.52/7.50 ~spl79_2),
% 51.52/7.50 inference(avatar_split_clause,[],[f1463,f1793])).
% 51.52/7.50 thf(f1816,plain,(
% 51.52/7.50 ( ! [X0 : nat] : (($true != $true) | (((ord_less @ nat @ X0 @ X0)) = $false)) )),
% 51.52/7.50 inference(constrained_superposition,[],[f1212,f1465])).
% 51.52/7.50 thf(f1817,plain,(
% 51.52/7.50 ( ! [X0 : nat] : ((((ord_less @ nat @ X0 @ X0)) = $false)) )),
% 51.52/7.50 inference(trivial_inequality_removal,[],[f1816])).
% 51.52/7.50 thf(f5209,plain,(
% 51.52/7.50 ($true != $true) | (m2 = ((suc @ (minus_minus @ nat @ m2 @ (suc @ zero_zero @ nat)))))),
% 51.52/7.50 inference(constrained_superposition,[],[f1151,f1458])).
% 51.52/7.50 thf(f5219,plain,(
% 51.52/7.50 (m2 = ((suc @ (minus_minus @ nat @ m2 @ (suc @ zero_zero @ nat)))))),
% 51.52/7.50 inference(trivial_inequality_removal,[],[f5209])).
% 51.52/7.50 thf(f6139,plain,(
% 51.52/7.50 ( ! [X0 : nat] : (($true != $true) | (((g @ X0)) != ((g @ m2))) | (m2 = X0) | (((ord_less_eq @ nat @ X0 @ m2)) != $true)) )),
% 51.52/7.50 inference(constrained_superposition,[],[f1444,f1469])).
% 51.52/7.50 thf(f6148,plain,(
% 51.52/7.50 ( ! [X0 : nat] : ((((g @ X0)) != ((g @ m2))) | (m2 = X0) | (((ord_less_eq @ nat @ X0 @ m2)) != $true)) )),
% 51.52/7.50 inference(trivial_inequality_removal,[],[f6139])).
% 51.52/7.50 thf(f6150,plain,(
% 51.52/7.50 ( ! [X0 : nat] : ((((ord_less_eq @ nat @ X0 @ m2)) != $true) | (m2 = X0) | (h2 != ((g @ X0)))) )),
% 51.52/7.50 inference(forward_demodulation,[],[f6148,f1446])).
% 51.52/7.50 thf(f79730,plain,(
% 51.52/7.50 ($true != $true) | ($true = ((ord_less_eq @ nat @ xa @ (suc @ (minus_minus @ nat @ m2 @ (suc @ zero_zero @ nat))))))),
% 51.52/7.50 inference(constrained_superposition,[],[f1232,f1461])).
% 51.52/7.50 thf(f79739,plain,(
% 51.52/7.50 ($true = ((ord_less_eq @ nat @ xa @ (suc @ (minus_minus @ nat @ m2 @ (suc @ zero_zero @ nat))))))),
% 51.52/7.50 inference(trivial_inequality_removal,[],[f79730])).
% 51.52/7.50 thf(f79755,plain,(
% 51.52/7.50 ($true = ((ord_less_eq @ nat @ xa @ m2)))),
% 51.52/7.50 inference(forward_demodulation,[],[f79739,f5219])).
% 51.52/7.50 thf(f81652,plain,(
% 51.52/7.50 ($true != $true) | ($true = ((ord_less @ nat @ xa @ (suc @ (minus_minus @ nat @ m2 @ (suc @ zero_zero @ nat))))))),
% 51.52/7.50 inference(constrained_superposition,[],[f1328,f1461])).
% 51.52/7.50 thf(f81661,plain,(
% 51.52/7.50 ($true = ((ord_less @ nat @ xa @ (suc @ (minus_minus @ nat @ m2 @ (suc @ zero_zero @ nat))))))),
% 51.52/7.50 inference(trivial_inequality_removal,[],[f81652])).
% 51.52/7.50 thf(f81677,plain,(
% 51.52/7.50 ($true = ((ord_less @ nat @ xa @ m2)))),
% 51.52/7.50 inference(forward_demodulation,[],[f81661,f5219])).
% 51.52/7.50 thf(f99525,definition,(
% 51.52/7.50 spl79_832 <=> (m2 = xa)),
% 51.52/7.50 introduced(definition,[new_symbols(definition,[spl79_832])],[avatar_definition])).
% 51.52/7.50 thf(f99526,plain,(
% 51.52/7.50 (m2 != xa) | spl79_832),
% 51.52/7.50 inference(avatar_component_clause,[],[f99525])).
% 51.52/7.50 thf(f99527,plain,(
% 51.52/7.50 (m2 = xa) | ~spl79_832),
% 51.52/7.50 inference(avatar_component_clause,[],[f99525])).
% 51.52/7.50 thf(f107405,plain,(
% 51.52/7.50 ($true = ((ord_less @ nat @ m2 @ m2))) | ~spl79_832),
% 51.52/7.50 inference(forward_demodulation,[],[f81677,f99527])).
% 51.52/7.50 thf(f107406,plain,(
% 51.52/7.50 ($true = $false) | ~spl79_832),
% 51.52/7.50 inference(forward_demodulation,[],[f107405,f1817])).
% 51.52/7.50 thf(f107407,plain,(
% 51.52/7.50 $false | ~spl79_832),
% 51.52/7.50 inference(trivial_inequality_removal,[],[f107406])).
% 51.52/7.50 thf(f107408,plain,(
% 51.52/7.50 ~spl79_832),
% 51.52/7.50 inference(avatar_contradiction_clause,[],[f107407])).
% 51.52/7.50 thf(f114783,plain,(
% 51.52/7.50 ($true != $true) | (m2 = xa) | (h2 != ((g @ xa)))),
% 51.52/7.50 inference(constrained_superposition,[],[f6150,f79755])).
% 51.52/7.50 thf(f114784,plain,(
% 51.52/7.50 (m2 = xa) | (h2 != ((g @ xa)))),
% 51.52/7.50 inference(trivial_inequality_removal,[],[f114783])).
% 51.52/7.50 thf(f114806,plain,(
% 51.52/7.50 (h2 != ((g @ xa))) | spl79_832),
% 51.52/7.50 inference(forward_subsumption_resolution,[],[f114784,f99526])).
% 51.52/7.50 thf(f114807,plain,(
% 51.52/7.50 $false | (~spl79_1 | spl79_832)),
% 51.52/7.50 inference(forward_subsumption_resolution,[],[f114806,f1791])).
% 51.52/7.50 thf(f114808,plain,(
% 51.52/7.50 ~spl79_1 | spl79_832),
% 51.52/7.50 inference(avatar_contradiction_clause,[],[f114807])).
% 51.52/7.50 cnf(s1, plain, spl79_1 | spl79_2, inference(sat_conversion,[],[f1796])).
% 51.52/7.50 cnf(s2, plain, ~spl79_2, inference(sat_conversion,[],[f1797])).
% 51.52/7.50 cnf(s3026, plain, ~spl79_832, inference(sat_conversion,[],[f107408])).
% 51.52/7.50 cnf(s3099, plain, ~spl79_1 | spl79_832, inference(sat_conversion,[],[f114808])).
% 51.52/7.50 cnf(s3100, plain, ~spl79_1, inference(rat,[],[s3099,s3026])).
% 51.52/7.50 cnf(s3698, plain, $false, inference(rat,[],[s1,s2,s3100])).
% 51.52/7.50 thf(f114809,plain,(
% 51.52/7.50 $false),
% 51.52/7.50 inference(avatar_sat_refutation,[],[s3698])).
% 51.52/7.50 % SZS output end Proof for theBenchmark
% 51.52/7.50 % (796543)------------------------------
% 51.52/7.50 % (796543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.52/7.50 % (796543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.52/7.50 % (796543)CaDiCaL version: 2.1.3
% 51.52/7.50 % (796543)Termination reason: Refutation
% 51.52/7.50 % (796543)Time elapsed: 7.205 s
% 51.52/7.50 % (796543)Peak memory usage: 56 MB
% 51.52/7.50 % (796543)Instructions burned: 14652 (million)
% 51.52/7.50 % (796537)Success in time 7.275 s
% 51.52/7.50 % Vampire exiting
%------------------------------------------------------------------------------