%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP133^2 : 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 : n001.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 08:10:49 AM UTC 2026
% Result : Theorem 71.26s 10.35s
% Output : Refutation 71.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP133^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n001.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:04:21 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 3.98/1.01 % (1743600)Will run a generic schedule for satisfiability detection.
% 3.98/1.01 % (1743605)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2984370588_2999 on theBenchmark for (2999ds/0Mi)
% 3.98/1.01 % (1743606)% WARNING: option uhcvi not known.
% 3.98/1.01 % (1743606)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3057961407:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.98/1.01 % (1743607)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1785248108:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.98/1.01 % (1743608)dis+10_1_sil=32000:sp=arity:random_seed=3261470459:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.98/1.01 % (1743609)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3435897595:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.98/1.01 % (1743610)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3306451043:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.98/1.01 % (1743611)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3232129817:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.98/1.01 % Exception at run slice level
% 3.98/1.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.98/1.01 % (1743606)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.98/1.01 % (1743609)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.98/1.01 % (1743619)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1631184202:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.98/1.01 % (1743606)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.98/1.01 % Exception at run slice level
% 3.98/1.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.98/1.01 % (1743608)Instruction limit reached!
% 3.98/1.01 % (1743608)------------------------------
% 3.98/1.01 % (1743608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/1.01 % (1743608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.01 % (1743608)CaDiCaL version: 2.1.3
% 3.98/1.01 % (1743608)Termination reason: Instruction limit
% 3.98/1.01 % (1743608)Termination phase: Saturation
% 3.98/1.01 % (1743608)Time elapsed: 0.045 s
% 3.98/1.01 % (1743608)Peak memory usage: 13 MB
% 3.98/1.01 % (1743608)Instructions burned: 104 (million)
% 3.98/1.01 % (1743621)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1278511776:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.98/1.01 % (1743609)Instruction limit reached!
% 3.98/1.01 % (1743609)------------------------------
% 3.98/1.01 % (1743609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/1.01 % (1743609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.01 % (1743609)CaDiCaL version: 2.1.3
% 3.98/1.01 % (1743609)Termination reason: Instruction limit
% 3.98/1.01 % (1743609)Termination phase: Saturation
% 3.98/1.01 % (1743609)Time elapsed: 0.052 s
% 3.98/1.01 % (1743609)Peak memory usage: 13 MB
% 3.98/1.01 % (1743609)Instructions burned: 117 (million)
% 3.98/1.01 % (1743610)Instruction limit reached!
% 3.98/1.01 % (1743610)------------------------------
% 3.98/1.01 % (1743610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/1.01 % (1743610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.01 % (1743610)CaDiCaL version: 2.1.3
% 3.98/1.01 % (1743610)Termination reason: Instruction limit
% 3.98/1.01 % (1743610)Termination phase: Saturation
% 3.98/1.01 % (1743610)Time elapsed: 0.059 s
% 3.98/1.01 % (1743610)Peak memory usage: 13 MB
% 3.98/1.01 % (1743610)Instructions burned: 132 (million)
% 3.98/1.01 % (1743622)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=997506826:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.98/1.01 % (1743624)ott-21_1_sil=16000:fs=off:random_seed=1450757366:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.98/1.01 % (1743611)Instruction limit reached!
% 3.98/1.01 % (1743611)------------------------------
% 3.98/1.01 % (1743611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/1.01 % (1743611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/2.87 % (1743611)CaDiCaL version: 2.1.3
% 17.97/2.87 % (1743611)Termination reason: Instruction limit
% 17.97/2.87 % (1743611)Termination phase: Saturation
% 17.97/2.87 % (1743611)Time elapsed: 0.077 s
% 17.97/2.87 % (1743611)Peak memory usage: 14 MB
% 17.97/2.87 % (1743611)Instructions burned: 160 (million)
% 17.97/2.87 % (1743625)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4149127379:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.97/2.87 % (1743622)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.97/2.87 % (1743621)Instruction limit reached!
% 17.97/2.87 % (1743621)------------------------------
% 17.97/2.87 % (1743621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.97/2.87 % (1743621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/2.87 % (1743621)CaDiCaL version: 2.1.3
% 17.97/2.87 % (1743621)Termination reason: Instruction limit
% 17.97/2.87 % (1743621)Termination phase: Saturation
% 17.97/2.87 % (1743621)Time elapsed: 0.034 s
% 17.97/2.87 % (1743621)Peak memory usage: 13 MB
% 17.97/2.87 % (1743621)Instructions burned: 133 (million)
% 17.97/2.87 % (1743630)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4098443337:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.97/2.87 % (1743629)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2025423209:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.97/2.87 % (1743622)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.97/2.87 % Exception at run slice level
% 17.97/2.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.97/2.87 % (1743624)Instruction limit reached!
% 17.97/2.87 % (1743624)------------------------------
% 17.97/2.87 % (1743624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.97/2.87 % (1743624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/2.87 % (1743624)CaDiCaL version: 2.1.3
% 17.97/2.87 % (1743624)Termination reason: Instruction limit
% 17.97/2.87 % (1743624)Termination phase: Saturation
% 17.97/2.87 % (1743624)Time elapsed: 0.081 s
% 17.97/2.87 % (1743624)Peak memory usage: 13 MB
% 17.97/2.87 % (1743624)Instructions burned: 181 (million)
% 17.97/2.87 % (1743633)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=619373060:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.97/2.87 % (1743635)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=1262635652: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)
% 17.97/2.87 % (1743635)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.97/2.87 % Exception at run slice level
% 17.97/2.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.97/2.87 % (1743637)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1674724321:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 17.97/2.87 % (1743637)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.97/2.87 % (1743622)Instruction limit reached!
% 17.97/2.87 % (1743622)------------------------------
% 17.97/2.87 % (1743622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.97/2.87 % (1743622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/2.87 % (1743622)CaDiCaL version: 2.1.3
% 17.97/2.87 % (1743622)Termination reason: Instruction limit
% 17.97/2.87 % (1743622)Termination phase: Saturation
% 17.97/2.87 % (1743622)Time elapsed: 0.229 s
% 17.97/2.87 % (1743622)Peak memory usage: 14 MB
% 17.97/2.87 % (1743622)Instructions burned: 687 (million)
% 17.97/2.87 % (1743639)fmb+10_1_sil=64000:random_seed=3804144260:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 17.97/2.87 % (1743639)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.97/2.87 % Exception at run slice level
% 17.97/2.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.97/2.87 % (1743625)Instruction limit reached!
% 17.97/2.87 % (1743625)------------------------------
% 17.97/2.87 % (1743625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.97/2.87 % (1743625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.09/7.09 % (1743625)CaDiCaL version: 2.1.3
% 48.09/7.09 % (1743625)Termination reason: Instruction limit
% 48.09/7.09 % (1743625)Termination phase: Saturation
% 48.09/7.09 % (1743625)Time elapsed: 0.270 s
% 48.09/7.09 % (1743625)Peak memory usage: 14 MB
% 48.09/7.09 % (1743625)Instructions burned: 477 (million)
% 48.09/7.09 % (1743641)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2128895:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 48.09/7.09 % (1743642)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=13294972:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 48.09/7.09 % Exception at run slice level
% 48.09/7.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.09/7.09 % Exception at run slice level
% 48.09/7.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.09/7.09 % (1743630)Instruction limit reached!
% 48.09/7.09 % (1743630)------------------------------
% 48.09/7.09 % (1743630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.09/7.09 % (1743630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.09/7.09 % (1743630)CaDiCaL version: 2.1.3
% 48.09/7.09 % (1743630)Termination reason: Instruction limit
% 48.09/7.09 % (1743630)Termination phase: Saturation
% 48.09/7.09 % (1743630)Time elapsed: 0.318 s
% 48.09/7.09 % (1743630)Peak memory usage: 20 MB
% 48.09/7.09 % (1743630)Instructions burned: 1181 (million)
% 48.09/7.09 % (1743645)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=645384484:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 48.09/7.09 % (1743646)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2251015724:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 48.09/7.09 % (1743647)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4049014026:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 48.09/7.09 % (1743645)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 48.09/7.09 % Exception at run slice level
% 48.09/7.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.09/7.09 % (1743646)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 48.09/7.09 % (1743651)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=484939486:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 48.09/7.09 % (1743646)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 48.09/7.09 % Exception at run slice level
% 48.09/7.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.09/7.09 % (1743653)ott-2_1_sil=16000:newcnf=on:random_seed=3594690674:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 48.09/7.09 % (1743653)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 48.09/7.09 % (1743635)Instruction limit reached!
% 48.09/7.09 % (1743635)------------------------------
% 48.09/7.09 % (1743635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.09/7.09 % (1743635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.09/7.09 % (1743635)CaDiCaL version: 2.1.3
% 48.09/7.09 % (1743635)Termination reason: Instruction limit
% 48.09/7.09 % (1743635)Termination phase: Saturation
% 48.09/7.09 % (1743635)Time elapsed: 0.369 s
% 48.09/7.09 % (1743635)Peak memory usage: 16 MB
% 48.09/7.09 % (1743635)Instructions burned: 693 (million)
% 48.09/7.09 % (1743655)ott+10_1_sil=32000:tgt=ground:random_seed=3816711102:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 48.09/7.09 % (1743637)Instruction limit reached!
% 48.09/7.09 % (1743637)------------------------------
% 48.09/7.09 % (1743637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.09/7.09 % (1743637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.09/7.09 % (1743637)CaDiCaL version: 2.1.3
% 48.09/7.09 % (1743637)Termination reason: Instruction limit
% 48.09/7.09 % (1743637)Termination phase: Saturation
% 48.09/7.09 % (1743637)Time elapsed: 0.472 s
% 48.09/7.09 % (1743637)Peak memory usage: 18 MB
% 48.09/7.09 % (1743637)Instructions burned: 881 (million)
% 48.09/7.09 % (1743657)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1670709461:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 48.09/7.09 % (1743653)Instruction limit reached!
% 71.26/10.35 % (1743653)------------------------------
% 71.26/10.35 % (1743653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.35 % (1743653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.35 % (1743653)CaDiCaL version: 2.1.3
% 71.26/10.35 % (1743653)Termination reason: Instruction limit
% 71.26/10.35 % (1743653)Termination phase: Saturation
% 71.26/10.35 % (1743653)Time elapsed: 0.230 s
% 71.26/10.35 % (1743653)Peak memory usage: 17 MB
% 71.26/10.35 % (1743653)Instructions burned: 872 (million)
% 71.26/10.35 % (1743659)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=809391248:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 71.26/10.35 % (1743659)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 71.26/10.35 % Exception at run slice level
% 71.26/10.35 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 71.26/10.35 % (1743661)dis+21_1_sil=32000:sas=cadical:random_seed=2681418978:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 71.26/10.35 % (1743646)Instruction limit reached!
% 71.26/10.35 % (1743646)------------------------------
% 71.26/10.35 % (1743646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.35 % (1743646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.35 % (1743646)CaDiCaL version: 2.1.3
% 71.26/10.35 % (1743646)Termination reason: Instruction limit
% 71.26/10.35 % (1743646)Termination phase: Saturation
% 71.26/10.35 % (1743646)Time elapsed: 0.768 s
% 71.26/10.35 % (1743646)Peak memory usage: 20 MB
% 71.26/10.35 % (1743646)Instructions burned: 1473 (million)
% 71.26/10.35 % (1743663)ott+11_1_sil=16000:gs=on:random_seed=3229104353:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 71.26/10.35 % (1743663)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 71.26/10.35 % (1743659)Instruction limit reached!
% 71.26/10.35 % (1743659)------------------------------
% 71.26/10.35 % (1743659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.35 % (1743659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.35 % (1743659)CaDiCaL version: 2.1.3
% 71.26/10.35 % (1743659)Termination reason: Instruction limit
% 71.26/10.35 % (1743659)Termination phase: Saturation
% 71.26/10.35 % (1743659)Time elapsed: 0.901 s
% 71.26/10.35 % (1743659)Peak memory usage: 31 MB
% 71.26/10.35 % (1743659)Instructions burned: 3513 (million)
% 71.26/10.35 % (1743665)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2827099226:fmbsr=1.6:i=67534_2983 on theBenchmark for (2983ds/67534Mi)
% 71.26/10.35 % Exception at run slice level
% 71.26/10.35 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 71.26/10.35 % (1743667)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3233403233:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2982 on theBenchmark for (2982ds/4591Mi)
% 71.26/10.35 % (1743663)Instruction limit reached!
% 71.26/10.35 % (1743663)------------------------------
% 71.26/10.35 % (1743663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.35 % (1743663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.35 % (1743663)CaDiCaL version: 2.1.3
% 71.26/10.35 % (1743663)Termination reason: Instruction limit
% 71.26/10.35 % (1743663)Termination phase: Saturation
% 71.26/10.35 % (1743663)Time elapsed: 1.210 s
% 71.26/10.35 % (1743663)Peak memory usage: 28 MB
% 71.26/10.35 % (1743663)Instructions burned: 2252 (million)
% 71.26/10.35 % (1743669)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3420925235:i=29340_2975 on theBenchmark for (2975ds/29340Mi)
% 71.26/10.35 % (1743661)Instruction limit reached!
% 71.26/10.35 % (1743661)------------------------------
% 71.26/10.35 % (1743661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.35 % (1743661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.35 % (1743661)CaDiCaL version: 2.1.3
% 71.26/10.35 % (1743661)Termination reason: Instruction limit
% 71.26/10.35 % (1743661)Termination phase: Saturation
% 71.26/10.35 % (1743661)Time elapsed: 1.793 s
% 71.26/10.35 % (1743661)Peak memory usage: 30 MB
% 71.26/10.35 % (1743661)Instructions burned: 3773 (million)
% 71.26/10.35 % (1743671)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3103004922:i=5211_2973 on theBenchmark for (2973ds/5211Mi)
% 71.26/10.35 % (1743645)Instruction limit reached!
% 71.26/10.35 % (1743645)------------------------------
% 71.26/10.35 % (1743645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.35 % (1743645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.35 % (1743645)CaDiCaL version: 2.1.3
% 71.26/10.35 % (1743645)Termination reason: Instruction limit
% 71.26/10.35 % (1743645)Termination phase: Saturation
% 71.26/10.35 % (1743645)Time elapsed: 2.404 s
% 71.26/10.35 % (1743645)Peak memory usage: 31 MB
% 71.26/10.35 % (1743645)Instructions burned: 5131 (million)
% 71.26/10.35 % (1743673)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=942512851:i=5497:nm=2_2971 on theBenchmark for (2971ds/5497Mi)
% 71.26/10.35 % Exception at run slice level
% 71.26/10.35 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 71.26/10.35 % (1743667)Instruction limit reached!
% 71.26/10.35 % (1743667)------------------------------
% 71.26/10.35 % (1743667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.35 % (1743667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.35 % (1743667)CaDiCaL version: 2.1.3
% 71.26/10.35 % (1743667)Termination reason: Instruction limit
% 71.26/10.35 % (1743667)Termination phase: Saturation
% 71.26/10.35 % (1743667)Time elapsed: 1.218 s
% 71.26/10.35 % (1743667)Peak memory usage: 30 MB
% 71.26/10.35 % (1743667)Instructions burned: 4593 (million)
% 71.26/10.35 % (1743676)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1617405688:i=14071_2970 on theBenchmark for (2970ds/14071Mi)
% 71.26/10.35 % (1743675)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=827758352:fmbsr=2:i=46332_2970 on theBenchmark for (2970ds/46332Mi)
% 71.26/10.35 % Exception at run slice level
% 71.26/10.35 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 71.26/10.35 % (1743679)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3029513941:i=22565:add=on:rawr=on_2970 on theBenchmark for (2970ds/22565Mi)
% 71.26/10.35 % Exception at run slice level
% 71.26/10.35 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 71.26/10.35 % (1743681)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3078728494:i=8173:av=off_2970 on theBenchmark for (2970ds/8173Mi)
% 71.26/10.35 % (1743655)Instruction limit reached!
% 71.26/10.35 % (1743655)------------------------------
% 71.26/10.35 % (1743655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.35 % (1743655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.35 % (1743655)CaDiCaL version: 2.1.3
% 71.26/10.35 % (1743655)Termination reason: Instruction limit
% 71.26/10.35 % (1743655)Termination phase: Saturation
% 71.26/10.35 % (1743655)Time elapsed: 2.508 s
% 71.26/10.35 % (1743655)Peak memory usage: 35 MB
% 71.26/10.35 % (1743655)Instructions burned: 5116 (million)
% 71.26/10.35 % (1743683)dis+10_16:1_sil=16000:random_seed=1975350630:i=9155:fsr=off_2968 on theBenchmark for (2968ds/9155Mi)
% 71.26/10.35 % (1743671)Instruction limit reached!
% 71.26/10.35 % (1743671)------------------------------
% 71.26/10.35 % (1743671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.35 % (1743671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.35 % (1743671)CaDiCaL version: 2.1.3
% 71.26/10.35 % (1743671)Termination reason: Instruction limit
% 71.26/10.35 % (1743671)Termination phase: Saturation
% 71.26/10.35 % (1743671)Time elapsed: 2.606 s
% 71.26/10.35 % (1743671)Peak memory usage: 50 MB
% 71.26/10.35 % (1743671)Instructions burned: 5213 (million)
% 71.26/10.35 % (1743686)ott-3_8_sil=64000:random_seed=1408918406:i=20139:bs=on_2947 on theBenchmark for (2947ds/20139Mi)
% 71.26/10.35 % (1743681)Instruction limit reached!
% 71.26/10.35 % (1743681)------------------------------
% 71.26/10.35 % (1743681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.35 % (1743681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.35 % (1743681)CaDiCaL version: 2.1.3
% 71.26/10.35 % (1743681)Termination reason: Instruction limit
% 71.26/10.35 % (1743681)Termination phase: Saturation
% 71.26/10.35 % (1743681)Time elapsed: 3.823 s
% 71.26/10.35 % (1743681)Peak memory usage: 30 MB
% 71.26/10.35 % (1743681)Instructions burned: 8173 (million)
% 71.26/10.35 % (1743688)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=4025985006:fmbsr=2:i=32576_2931 on theBenchmark for (2931ds/32576Mi)
% 71.26/10.35 % Exception at run slice level
% 71.26/10.35 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 71.26/10.35 % (1743690)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3319257088:i=11404_2931 on theBenchmark for (2931ds/11404Mi)
% 71.26/10.35 % (1743683)Instruction limit reached!
% 71.26/10.35 % (1743683)------------------------------
% 71.26/10.35 % (1743683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.35 % (1743683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.35 % (1743683)CaDiCaL version: 2.1.3
% 71.26/10.35 % (1743683)Termination reason: Instruction limit
% 71.26/10.35 % (1743683)Termination phase: Saturation
% 71.26/10.35 % (1743683)Time elapsed: 4.459 s
% 71.26/10.35 % (1743683)Peak memory usage: 58 MB
% 71.26/10.35 % (1743683)Instructions burned: 9156 (million)
% 71.26/10.35 % (1743692)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=3096544615:i=14134_2923 on theBenchmark for (2923ds/14134Mi)
% 71.26/10.35 % (1743692)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 71.26/10.35 % (1743679)Instruction limit reached!
% 71.26/10.35 % (1743679)------------------------------
% 71.26/10.35 % (1743679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.35 % (1743679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.35 % (1743679)CaDiCaL version: 2.1.3
% 71.26/10.35 % (1743679)Termination reason: Instruction limit
% 71.26/10.35 % (1743679)Termination phase: Saturation
% 71.26/10.35 % (1743679)Time elapsed: 5.307 s
% 71.26/10.35 % (1743679)Peak memory usage: 125 MB
% 71.26/10.35 % (1743679)Instructions burned: 22568 (million)
% 71.26/10.35 % (1743694)dis+33_16_sil=32000:sac=on:random_seed=2208572479:i=15851:nm=0_2916 on theBenchmark for (2916ds/15851Mi)
% 71.26/10.35 % (1743669) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1743600-1743669"...
% 71.26/10.35 % (1743669)...printing done.
% 71.26/10.35 % (1743669)Refutation found. Thanks to Tanya!
% 71.26/10.35 % SZS status Theorem for theBenchmark
% 71.26/10.35 % SZS output start Proof for theBenchmark
% 71.26/10.35 thf(type_def_5, type, set: $tType > $tType).
% 71.26/10.35 thf(type_def_6, type, nat: $tType).
% 71.26/10.35 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 71.26/10.35 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_1, type, one: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_4, type, neg_numeral: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_5, type, order: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_6, type, mult_zero: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_7, type, no_bot: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_8, type, no_top: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_9, type, semiring_0: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_10, type, monoid_mult: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_11, type, linorder: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_12, type, preorder: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_13, type, ordered_ring: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_14, type, zero_neq_one: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_15, type, wellorder: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_16, type, semigroup_mult: !>[X0: $tType]:($o)).
% 71.26/10.35 thf(func_def_17, type, dense_order: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_18, type, linordered_idom: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_19, type, linordered_ring: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_20, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_21, type, ordered_semiring: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_22, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_23, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_24, type, dense_linorder: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_25, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_26, type, ordere1490568538miring: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_27, type, linord581940658strict: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_28, type, ring_11004092258visors: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_29, type, ordere216010020id_add: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_30, type, semiri1193490041visors: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_31, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_32, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_33, type, semiri1923998003cancel: !>[X0: $tType]:($o)).
% 71.26/10.36 thf(func_def_34, type, one_one: !>[X0: $tType]:(X0)).
% 71.26/10.36 thf(func_def_35, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 71.26/10.36 thf(func_def_36, type, zero_zero: !>[X0: $tType]:(X0)).
% 71.26/10.36 thf(func_def_37, type, groups1340683514dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 71.26/10.36 thf(func_def_38, type, neg_numeral_dbl_inc: !>[X0: $tType]:((X0 > X0))).
% 71.26/10.36 thf(func_def_39, type, number2016821345itions: ((nat > nat) > nat > $o)).
% 71.26/10.36 thf(func_def_40, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 71.26/10.36 thf(func_def_41, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 71.26/10.36 thf(func_def_42, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 71.26/10.36 thf(func_def_43, type, set_ord_atMost: !>[X0: $tType]:((X0 > set @ X0))).
% 71.26/10.36 thf(func_def_44, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 71.26/10.36 thf(func_def_45, type, p: (nat > nat)).
% 71.26/10.36 thf(func_def_49, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 71.26/10.36 thf(func_def_50, type, vOR: ($o > $o > $o)).
% 71.26/10.36 thf(func_def_51, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 71.26/10.36 thf(func_def_52, type, db0: !>[X0: $tType]:(X0)).
% 71.26/10.36 thf(func_def_53, type, vAND: ($o > $o > $o)).
% 71.26/10.36 thf(func_def_54, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 71.26/10.36 thf(func_def_55, type, vIMP: ($o > $o > $o)).
% 71.26/10.36 thf(func_def_56, type, db2: !>[X0: $tType]:(X0)).
% 71.26/10.36 thf(func_def_57, type, vNOT: ($o > $o)).
% 71.26/10.36 thf(func_def_58, type, db1: !>[X0: $tType]:(X0)).
% 71.26/10.36 thf(func_def_59, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 71.26/10.36 thf(func_def_60, type, sP0: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > $o))).
% 71.26/10.36 thf(func_def_61, type, sP1: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > $o))).
% 71.26/10.36 thf(func_def_62, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 71.26/10.36 thf(func_def_63, type, sP3: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 71.26/10.36 thf(func_def_64, type, sP4: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 71.26/10.36 thf(func_def_65, type, sK5: (nat > (nat > nat) > nat)).
% 71.26/10.36 thf(func_def_66, type, sK6: ((nat > $o) > nat)).
% 71.26/10.36 thf(func_def_67, type, sK7: (nat > (nat > $o) > nat)).
% 71.26/10.36 thf(func_def_68, type, sK8: ((nat > $o) > nat)).
% 71.26/10.36 thf(func_def_69, type, sK9: (nat > (nat > $o) > nat)).
% 71.26/10.36 thf(func_def_70, type, sK10: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > X1))).
% 71.26/10.36 thf(func_def_71, type, sK11: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_72, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > (X0 > X2) > set @ X0 > X0))).
% 71.26/10.36 thf(func_def_73, type, sK13: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > X1))).
% 71.26/10.36 thf(func_def_74, type, sK14: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_75, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > (X0 > X2) > set @ X0 > (X2 > X0) > set @ X2 > X0))).
% 71.26/10.36 thf(func_def_76, type, sK16: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X1 > X0) > set @ X1 > X1))).
% 71.26/10.36 thf(func_def_77, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > (X0 > X2) > set @ X0 > set @ X2 > X0))).
% 71.26/10.36 thf(func_def_78, type, sK18: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > X1))).
% 71.26/10.36 thf(func_def_79, type, sK19: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1) > set @ X0 > set @ X1 > X0))).
% 71.26/10.36 thf(func_def_80, type, sK20: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 71.26/10.36 thf(func_def_81, type, sK21: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 71.26/10.36 thf(func_def_82, type, sK22: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 71.26/10.36 thf(func_def_83, type, sK23: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_84, type, sK24: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_85, type, sK25: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 71.26/10.36 thf(func_def_86, type, sK26: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 71.26/10.36 thf(func_def_87, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 71.26/10.36 thf(func_def_88, type, sK28: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 71.26/10.36 thf(func_def_89, type, sK29: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_90, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_91, type, sK31: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_92, type, sK32: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 71.26/10.36 thf(func_def_93, type, sK33: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 71.26/10.36 thf(func_def_94, type, sK34: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_95, type, sK35: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_96, type, sK36: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 71.26/10.36 thf(func_def_97, type, sK37: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 71.26/10.36 thf(func_def_98, type, sK38: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_99, type, sK39: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_100, type, sK40: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_101, type, sK41: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_102, type, sK42: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_103, type, sK43: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 71.26/10.36 thf(func_def_104, type, sK44: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_105, type, sK45: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_106, type, sK46: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_107, type, sK47: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_108, type, sK48: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_109, type, sK49: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_110, type, sK50: !>[X0: $tType]:(((X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_111, type, sK51: !>[X0: $tType]:((X0 > X0 > X0))).
% 71.26/10.36 thf(func_def_112, type, sK52: !>[X0: $tType]:((X0 > X0))).
% 71.26/10.36 thf(func_def_113, type, sK53: !>[X0: $tType]:((X0 > X0))).
% 71.26/10.36 thf(func_def_114, type, sK54: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 71.26/10.36 thf(func_def_115, type, sK55: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 71.26/10.36 thf(func_def_116, type, sK56: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_117, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_118, type, sK58: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 71.26/10.36 thf(func_def_119, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 71.26/10.36 thf(func_def_120, type, sK60: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_121, type, sK61: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_122, type, sK62: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_123, type, sK63: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 71.26/10.36 thf(func_def_124, type, sK64: ((nat > nat) > nat)).
% 71.26/10.36 thf(func_def_125, type, sK65: ((nat > nat) > nat)).
% 71.26/10.36 thf(func_def_126, type, sK66: ((nat > $o) > nat)).
% 71.26/10.36 thf(func_def_127, type, sK67: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 71.26/10.36 thf(func_def_128, type, sK68: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 71.26/10.36 thf(func_def_129, type, sK69: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 71.26/10.36 thf(func_def_130, type, sK70: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 71.26/10.36 thf(func_def_131, type, sK71: nat).
% 71.26/10.36 thf(func_def_132, type, sK72: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 71.26/10.36 thf(func_def_133, type, sK73: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 71.26/10.36 thf(func_def_134, type, sK74: (nat > (nat > nat) > nat)).
% 71.26/10.36 thf(func_def_135, type, sK75: (nat > (nat > nat) > nat)).
% 71.26/10.36 thf(func_def_136, type, sK76: (nat > (nat > nat) > nat)).
% 71.26/10.36 thf(func_def_138, type, sK78: !>[X0: $tType]:(X0)).
% 71.26/10.36 thf(func_def_139, type, sK79: nat).
% 71.26/10.36 thf(f42,axiom,(
% 71.26/10.36 ! [X0 : $tType] : (zero_neq_one @ X0 => (zero_zero @ X0 != one_one @ X0))),
% 71.26/10.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_zero__neq__one)).
% 71.26/10.36 thf(f44,axiom,(
% 71.26/10.36 ! [X0 : $tType,X1 : $tType] : (comm_monoid_add @ X1 => ! [X2 : set @ X0,X3 : (X0 > X1)] : (! [X4 : X0] : ((member @ X0 @ X4 @ X2) => (((X3 @ X4)) = zero_zero @ X1)) => (((groups1340683514dd_sum @ X0 @ X1 @ X3 @ X2)) = zero_zero @ X1)))),
% 71.26/10.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_sum_Oneutral)).
% 71.26/10.36 thf(f49,axiom,(
% 71.26/10.36 ! [X0 : nat] : ((ord_less_eq @ nat @ X0 @ zero_zero @ nat) => (X0 = zero_zero @ nat))),
% 71.26/10.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_bot__nat__0_Oextremum__uniqueI)).
% 71.26/10.36 thf(f53,axiom,(
% 71.26/10.36 ! [X0 : nat] : (((times_times @ nat @ zero_zero @ nat @ X0)) = zero_zero @ nat)),
% 71.26/10.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_mult__0)).
% 71.26/10.36 thf(f61,axiom,(
% 71.26/10.36 ! [X0 : $tType] : (mult_zero @ X0 => ((^[X1 : X0] : (zero_zero @ X0)) = ((times_times @ X0 @ zero_zero @ X0))))),
% 71.26/10.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_lambda__zero)).
% 71.26/10.36 thf(f267,axiom,(
% 71.26/10.36 comm_monoid_add @ nat),
% 71.26/10.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__add)).
% 71.26/10.36 thf(f270,axiom,(
% 71.26/10.36 zero_neq_one @ nat),
% 71.26/10.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ozero__neq__one)).
% 71.26/10.36 thf(f276,axiom,(
% 71.26/10.36 mult_zero @ nat),
% 71.26/10.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Omult__zero)).
% 71.26/10.36 thf(f288,conjecture,(
% 71.26/10.36 ((((groups1340683514dd_sum @ nat @ nat @ (^[X0 : nat] : ((times_times @ nat @ (p @ X0) @ X0))) @ (set_ord_atMost @ nat @ zero_zero @ nat))) = zero_zero @ nat) & ! [X0 : nat] : ((((p @ X0)) != zero_zero @ nat) => ((ord_less_eq @ nat @ X0 @ zero_zero @ nat) & (ord_less_eq @ nat @ one_one @ nat @ X0))) = (p = (^[X0 : nat] : (zero_zero @ nat))))),
% 71.26/10.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 71.26/10.36 thf(f289,negated_conjecture,(
% 71.26/10.36 ~ ((((groups1340683514dd_sum @ nat @ nat @ (^[X0 : nat] : ((times_times @ nat @ (p @ X0) @ X0))) @ (set_ord_atMost @ nat @ zero_zero @ nat))) = zero_zero @ nat) & ! [X0 : nat] : ((((p @ X0)) != zero_zero @ nat) => ((ord_less_eq @ nat @ X0 @ zero_zero @ nat) & (ord_less_eq @ nat @ one_one @ nat @ X0))) = (p = (^[X0 : nat] : (zero_zero @ nat))))),
% 71.26/10.36 inference(negated_conjecture,[status(cth)],[f288])).
% 71.26/10.36 thf(f365,plain,(
% 71.26/10.36 ! [X0 : $tType] : (zero_neq_one @ X0 => (zero_zero @ X0 != one_one @ X0))),
% 71.26/10.36 inference(rectify,[],[f42])).
% 71.26/10.36 thf(f366,plain,(
% 71.26/10.36 ! [X0 : $tType] : ((zero_neq_one @ X0 = $true) => (zero_zero @ X0 != one_one @ X0))),
% 71.26/10.36 inference(fool_elimination,[],[f365])).
% 71.26/10.36 thf(f369,plain,(
% 71.26/10.36 ! [X0 : $tType,X1 : $tType] : (comm_monoid_add @ X1 => ! [X2 : set @ X0,X3 : (X0 > X1)] : (! [X4 : X0] : ((member @ X0 @ X4 @ X2) => (((X3 @ X4)) = zero_zero @ X1)) => (((groups1340683514dd_sum @ X0 @ X1 @ X3 @ X2)) = zero_zero @ X1)))),
% 71.26/10.36 inference(rectify,[],[f44])).
% 71.26/10.36 thf(f370,plain,(
% 71.26/10.36 ! [X0 : $tType,X1 : $tType] : ((comm_monoid_add @ X1 = $true) => ! [X2 : set @ X0,X3 : (X0 > X1)] : (! [X4 : X0] : ((((member @ X0 @ X4 @ X2)) = $true) => (zero_zero @ X1 = ((X3 @ X4)))) => (zero_zero @ X1 = ((groups1340683514dd_sum @ X0 @ X1 @ X3 @ X2)))))),
% 71.26/10.36 inference(fool_elimination,[],[f369])).
% 71.26/10.36 thf(f373,plain,(
% 71.26/10.36 ! [X0 : nat] : ((ord_less_eq @ nat @ X0 @ zero_zero @ nat) => (X0 = zero_zero @ nat))),
% 71.26/10.36 inference(rectify,[],[f49])).
% 71.26/10.36 thf(f374,plain,(
% 71.26/10.36 ! [X0 : nat] : ((((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) = $true) => (zero_zero @ nat = X0))),
% 71.26/10.36 inference(fool_elimination,[],[f373])).
% 71.26/10.36 thf(f389,plain,(
% 71.26/10.36 ! [X0 : $tType] : (mult_zero @ X0 => ((^[X1 : X0] : (zero_zero @ X0)) = ((times_times @ X0 @ zero_zero @ X0))))),
% 71.26/10.36 inference(rectify,[],[f61])).
% 71.26/10.36 thf(f390,plain,(
% 71.26/10.36 ! [X0 : $tType] : ((mult_zero @ X0 = $true) => (((times_times @ X0 @ zero_zero @ X0)) = (^[Y0 : X0]: (zero_zero @ X0))))),
% 71.26/10.36 inference(fool_elimination,[],[f389])).
% 71.26/10.36 thf(f795,plain,(
% 71.26/10.36 comm_monoid_add @ nat),
% 71.26/10.36 inference(rectify,[],[f267])).
% 71.26/10.36 thf(f796,plain,(
% 71.26/10.36 (comm_monoid_add @ nat = $true)),
% 71.26/10.36 inference(fool_elimination,[],[f795])).
% 71.26/10.36 thf(f801,plain,(
% 71.26/10.36 zero_neq_one @ nat),
% 71.26/10.36 inference(rectify,[],[f270])).
% 71.26/10.36 thf(f802,plain,(
% 71.26/10.36 (zero_neq_one @ nat = $true)),
% 71.26/10.36 inference(fool_elimination,[],[f801])).
% 71.26/10.36 thf(f813,plain,(
% 71.26/10.36 mult_zero @ nat),
% 71.26/10.36 inference(rectify,[],[f276])).
% 71.26/10.36 thf(f814,plain,(
% 71.26/10.36 (mult_zero @ nat = $true)),
% 71.26/10.36 inference(fool_elimination,[],[f813])).
% 71.26/10.36 thf(f837,plain,(
% 71.26/10.36 ~ ((((groups1340683514dd_sum @ nat @ nat @ (^[X0 : nat] : ((times_times @ nat @ (p @ X0) @ X0))) @ (set_ord_atMost @ nat @ zero_zero @ nat))) = zero_zero @ nat) & ! [X1 : nat] : ((zero_zero @ nat != ((p @ X1))) => ((ord_less_eq @ nat @ X1 @ zero_zero @ nat) & (ord_less_eq @ nat @ one_one @ nat @ X1))) = (p = (^[X2 : nat] : (zero_zero @ nat))))),
% 71.26/10.36 inference(rectify,[],[f289])).
% 71.26/10.36 thf(f838,plain,(
% 71.26/10.36 ~ ((((!! @ nat @ (^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ zero_zero @ nat))))) & ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)) = zero_zero @ nat))) = ((p = (^[Y0 : nat]: (zero_zero @ nat)))))),
% 71.26/10.36 inference(fool_elimination,[],[f837])).
% 71.26/10.36 thf(f864,plain,(
% 71.26/10.36 ((((!! @ nat @ (^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ zero_zero @ nat))))) & ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)) = zero_zero @ nat))) != ((p = (^[Y0 : nat]: (zero_zero @ nat)))))),
% 71.26/10.36 inference(flattening,[],[f838])).
% 71.26/10.36 thf(f906,plain,(
% 71.26/10.36 ! [X0 : $tType] : ((zero_zero @ X0 != one_one @ X0) | (zero_neq_one @ X0 != $true))),
% 71.26/10.36 inference(ennf_transformation,[],[f366])).
% 71.26/10.36 thf(f908,plain,(
% 71.26/10.36 ! [X0 : $tType,X1 : $tType] : (! [X2 : set @ X0,X3 : (X0 > X1)] : ((zero_zero @ X1 = ((groups1340683514dd_sum @ X0 @ X1 @ X3 @ X2))) | ? [X4 : X0] : ((zero_zero @ X1 != ((X3 @ X4))) & (((member @ X0 @ X4 @ X2)) = $true))) | (comm_monoid_add @ X1 != $true))),
% 71.26/10.36 inference(ennf_transformation,[],[f370])).
% 71.26/10.36 thf(f911,plain,(
% 71.26/10.36 ! [X0 : nat] : ((zero_zero @ nat = X0) | (((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) != $true))),
% 71.26/10.36 inference(ennf_transformation,[],[f374])).
% 71.26/10.36 thf(f916,plain,(
% 71.26/10.36 ! [X0 : $tType] : ((((times_times @ X0 @ zero_zero @ X0)) = (^[Y0 : X0]: (zero_zero @ X0))) | (mult_zero @ X0 != $true))),
% 71.26/10.36 inference(ennf_transformation,[],[f390])).
% 71.26/10.36 thf(f1176,plain,(
% 71.26/10.36 ! [X0 : $tType,X1 : $tType] : (! [X2 : set @ X0,X3 : (X0 > X1)] : ((zero_zero @ X1 = ((groups1340683514dd_sum @ X0 @ X1 @ X3 @ X2))) | ((zero_zero @ X1 != ((X3 @ (sK22 @ X0 @ X1 @ X3 @ X2)))) & ($true = ((member @ X0 @ (sK22 @ X0 @ X1 @ X3 @ X2) @ X2))))) | (comm_monoid_add @ X1 != $true))),
% 71.26/10.36 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,sK5 @ X1 @ X0)],[f908])).
% 71.26/10.36 thf(f1290,plain,(
% 71.26/10.36 ( ! [X0 : $tType] : ((zero_zero @ X0 != one_one @ X0) | (zero_neq_one @ X0 != $true)) )),
% 71.26/10.36 inference(cnf_transformation,[],[f906])).
% 71.26/10.36 thf(f1294,plain,(
% 71.26/10.36 ( ! [X1 : $tType,X0 : $tType,X2 : set @ X0,X3 : (X0 > X1)] : ((zero_zero @ X1 != ((X3 @ (sK22 @ X0 @ X1 @ X3 @ X2)))) | (zero_zero @ X1 = ((groups1340683514dd_sum @ X0 @ X1 @ X3 @ X2))) | (comm_monoid_add @ X1 != $true)) )),
% 71.26/10.36 inference(cnf_transformation,[],[f1176])).
% 71.26/10.36 thf(f1299,plain,(
% 71.26/10.36 ( ! [X0 : nat] : ((((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) != $true) | (zero_zero @ nat = X0)) )),
% 71.26/10.36 inference(cnf_transformation,[],[f911])).
% 71.26/10.36 thf(f1303,plain,(
% 71.26/10.36 ( ! [X0 : nat] : ((zero_zero @ nat = ((times_times @ nat @ zero_zero @ nat @ X0)))) )),
% 71.26/10.36 inference(cnf_transformation,[],[f53])).
% 71.26/10.36 thf(f1311,plain,(
% 71.26/10.36 ( ! [X0 : $tType] : ((mult_zero @ X0 != $true) | (((times_times @ X0 @ zero_zero @ X0)) = (^[Y0 : X0]: (zero_zero @ X0)))) )),
% 71.26/10.36 inference(cnf_transformation,[],[f916])).
% 71.26/10.36 thf(f1573,plain,(
% 71.26/10.36 (comm_monoid_add @ nat = $true)),
% 71.26/10.36 inference(cnf_transformation,[],[f796])).
% 71.26/10.36 thf(f1576,plain,(
% 71.26/10.36 (zero_neq_one @ nat = $true)),
% 71.26/10.36 inference(cnf_transformation,[],[f802])).
% 71.26/10.36 thf(f1582,plain,(
% 71.26/10.36 (mult_zero @ nat = $true)),
% 71.26/10.36 inference(cnf_transformation,[],[f814])).
% 71.26/10.36 thf(f1594,plain,(
% 71.26/10.36 ((((!! @ nat @ (^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ zero_zero @ nat))))) & ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)) = zero_zero @ nat))) != ((p = (^[Y0 : nat]: (zero_zero @ nat)))))),
% 71.26/10.36 inference(cnf_transformation,[],[f864])).
% 71.26/10.36 thf(f1633,plain,(
% 71.26/10.36 ($true = (((!! @ nat @ (^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ zero_zero @ nat))))) & ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)) = zero_zero @ nat)))) | ($true = ((p = (^[Y0 : nat]: (zero_zero @ nat)))))),
% 71.26/10.36 inference(xor_proxy_clausification,[],[f1594])).
% 71.26/10.36 thf(f1634,plain,(
% 71.26/10.36 ((((!! @ nat @ (^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ zero_zero @ nat))))) & ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)) = zero_zero @ nat))) = $false) | (((p = (^[Y0 : nat]: (zero_zero @ nat)))) = $false)),
% 71.26/10.36 inference(xor_proxy_clausification,[],[f1594])).
% 71.26/10.36 thf(f1635,plain,(
% 71.26/10.36 ((((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)) = zero_zero @ nat)) = $false) | (((p = (^[Y0 : nat]: (zero_zero @ nat)))) = $false) | (((!! @ nat @ (^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ zero_zero @ nat)))))) = $false)),
% 71.26/10.36 inference(and_proxy_clausification,[],[f1634])).
% 71.26/10.36 thf(f1636,plain,(
% 71.26/10.36 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (((p = (^[Y0 : nat]: (zero_zero @ nat)))) = $false) | (((!! @ nat @ (^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ zero_zero @ nat)))))) = $false)),
% 71.26/10.36 inference(equality_proxy_clausification,[],[f1635])).
% 71.26/10.36 thf(f1637,plain,(
% 71.26/10.36 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (p != (^[Y0 : nat]: (zero_zero @ nat))) | (((!! @ nat @ (^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ zero_zero @ nat)))))) = $false)),
% 71.26/10.36 inference(equality_proxy_clausification,[],[f1636])).
% 71.26/10.36 thf(f1638,plain,(
% 71.26/10.36 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (p != (^[Y0 : nat]: (zero_zero @ nat))) | ($false = (((^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ zero_zero @ nat)))) @ sK71)))),
% 71.26/10.36 inference(sigma_proxy_clausification,[],[f1637])).
% 71.26/10.36 thf(f1639,plain,(
% 71.26/10.36 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (p != (^[Y0 : nat]: (zero_zero @ nat))) | ($false = (((~ (zero_zero @ nat = (p @ sK71))) => ((ord_less_eq @ nat @ one_one @ nat @ sK71) & (ord_less_eq @ nat @ sK71 @ zero_zero @ nat)))))),
% 71.26/10.36 inference(beta-eta_normalization,[],[f1638])).
% 71.26/10.36 thf(f1641,plain,(
% 71.26/10.36 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (p != (^[Y0 : nat]: (zero_zero @ nat))) | ($true = ((~ (zero_zero @ nat = (p @ sK71)))))),
% 71.26/10.36 inference(imp_proxy_clausification,[],[f1639])).
% 71.26/10.36 thf(f1642,plain,(
% 71.26/10.36 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (p != (^[Y0 : nat]: (zero_zero @ nat))) | ($false = ((zero_zero @ nat = (p @ sK71))))),
% 71.26/10.36 inference(not_proxy_clausification,[],[f1641])).
% 71.26/10.36 thf(f1643,plain,(
% 71.26/10.36 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (p != (^[Y0 : nat]: (zero_zero @ nat))) | (zero_zero @ nat != ((p @ sK71)))),
% 71.26/10.36 inference(equality_proxy_clausification,[],[f1642])).
% 71.26/10.36 thf(f1646,plain,(
% 71.26/10.36 ($true = ((!! @ nat @ (^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ zero_zero @ nat))))))) | ($true = ((p = (^[Y0 : nat]: (zero_zero @ nat)))))),
% 71.26/10.36 inference(and_proxy_clausification,[],[f1633])).
% 71.26/10.36 thf(f1647,plain,(
% 71.26/10.36 ( ! [X1 : nat] : (($true = (((^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ zero_zero @ nat)))) @ X1))) | ($true = ((p = (^[Y0 : nat]: (zero_zero @ nat)))))) )),
% 71.26/10.36 inference(pi_proxy_clausification,[],[f1646])).
% 71.26/10.36 thf(f1648,plain,(
% 71.26/10.36 ( ! [X1 : nat] : (($true = (((^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ zero_zero @ nat)))) @ X1))) | (p = (^[Y0 : nat]: (zero_zero @ nat)))) )),
% 71.26/10.36 inference(equality_proxy_clausification,[],[f1647])).
% 71.26/10.36 thf(f1649,plain,(
% 71.26/10.36 ( ! [X1 : nat] : (($true = (((~ (zero_zero @ nat = (p @ X1))) => ((ord_less_eq @ nat @ one_one @ nat @ X1) & (ord_less_eq @ nat @ X1 @ zero_zero @ nat))))) | (p = (^[Y0 : nat]: (zero_zero @ nat)))) )),
% 71.26/10.36 inference(beta-eta_normalization,[],[f1648])).
% 71.26/10.36 thf(f1650,plain,(
% 71.26/10.36 ( ! [X1 : nat] : (($false = ((~ (zero_zero @ nat = (p @ X1))))) | (p = (^[Y0 : nat]: (zero_zero @ nat))) | ($true = (((ord_less_eq @ nat @ one_one @ nat @ X1) & (ord_less_eq @ nat @ X1 @ zero_zero @ nat))))) )),
% 71.26/10.36 inference(imp_proxy_clausification,[],[f1649])).
% 71.26/10.36 thf(f1651,plain,(
% 71.26/10.36 ( ! [X1 : nat] : (($true = ((zero_zero @ nat = (p @ X1)))) | (p = (^[Y0 : nat]: (zero_zero @ nat))) | ($true = (((ord_less_eq @ nat @ one_one @ nat @ X1) & (ord_less_eq @ nat @ X1 @ zero_zero @ nat))))) )),
% 71.26/10.36 inference(not_proxy_clausification,[],[f1650])).
% 71.26/10.36 thf(f1652,plain,(
% 71.26/10.36 ( ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1))) | (p = (^[Y0 : nat]: (zero_zero @ nat))) | ($true = (((ord_less_eq @ nat @ one_one @ nat @ X1) & (ord_less_eq @ nat @ X1 @ zero_zero @ nat))))) )),
% 71.26/10.36 inference(equality_proxy_clausification,[],[f1651])).
% 71.26/10.36 thf(f1653,plain,(
% 71.26/10.36 ( ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1))) | (p = (^[Y0 : nat]: (zero_zero @ nat))) | ($true = ((ord_less_eq @ nat @ X1 @ zero_zero @ nat)))) )),
% 71.26/10.36 inference(and_proxy_clausification,[],[f1652])).
% 71.26/10.36 thf(f1654,plain,(
% 71.26/10.36 ( ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1))) | (p = (^[Y0 : nat]: (zero_zero @ nat))) | ($true = ((ord_less_eq @ nat @ one_one @ nat @ X1)))) )),
% 71.26/10.36 inference(and_proxy_clausification,[],[f1652])).
% 71.26/10.36 thf(f2070,definition,(
% 71.26/10.36 spl77_1 <=> (p = (^[Y0 : nat]: (zero_zero @ nat)))),
% 71.26/10.36 introduced(definition,[new_symbols(definition,[spl77_1])],[avatar_definition])).
% 71.26/10.36 thf(f2071,plain,(
% 71.26/10.36 (p != (^[Y0 : nat]: (zero_zero @ nat))) | spl77_1),
% 71.26/10.36 inference(avatar_component_clause,[],[f2070])).
% 71.26/10.36 thf(f2072,plain,(
% 71.26/10.36 (p = (^[Y0 : nat]: (zero_zero @ nat))) | ~spl77_1),
% 71.26/10.36 inference(avatar_component_clause,[],[f2070])).
% 71.26/10.36 thf(f2074,definition,(
% 71.26/10.36 spl77_2 <=> ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1))) | ($true = ((ord_less_eq @ nat @ X1 @ zero_zero @ nat))))),
% 71.26/10.36 introduced(definition,[new_symbols(definition,[spl77_2])],[avatar_definition])).
% 71.26/10.36 thf(f2075,plain,(
% 71.26/10.36 ( ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1))) | ($true = ((ord_less_eq @ nat @ X1 @ zero_zero @ nat)))) ) | ~spl77_2),
% 71.26/10.36 inference(avatar_component_clause,[],[f2074])).
% 71.26/10.36 thf(f2076,plain,(
% 71.26/10.36 spl77_1 | spl77_2),
% 71.26/10.36 inference(avatar_split_clause,[],[f1653,f2074,f2070])).
% 71.26/10.36 thf(f2078,definition,(
% 71.26/10.36 spl77_3 <=> ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1))) | ($true = ((ord_less_eq @ nat @ one_one @ nat @ X1))))),
% 71.26/10.36 introduced(definition,[new_symbols(definition,[spl77_3])],[avatar_definition])).
% 71.26/10.36 thf(f2079,plain,(
% 71.26/10.36 ( ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1))) | ($true = ((ord_less_eq @ nat @ one_one @ nat @ X1)))) ) | ~spl77_3),
% 71.26/10.36 inference(avatar_component_clause,[],[f2078])).
% 71.26/10.36 thf(f2080,plain,(
% 71.26/10.36 spl77_1 | spl77_3),
% 71.26/10.36 inference(avatar_split_clause,[],[f1654,f2078,f2070])).
% 71.26/10.36 thf(f2081,plain,(
% 71.26/10.36 ( ! [X1 : nat] : ((((p @ X1)) = (((^[Y0 : nat]: (zero_zero @ nat)) @ X1)))) ) | ~spl77_1),
% 71.26/10.36 inference(argument_congruence,[],[f2072])).
% 71.26/10.36 thf(f2082,plain,(
% 71.26/10.36 ( ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1)))) ) | ~spl77_1),
% 71.26/10.36 inference(beta-eta_normalization,[],[f2081])).
% 71.26/10.36 thf(f2092,plain,(
% 71.26/10.36 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (zero_zero @ nat != ((p @ sK71))) | ~spl77_1),
% 71.26/10.36 inference(forward_subsumption_resolution,[],[f1643,f2072])).
% 71.26/10.36 thf(f2093,plain,(
% 71.26/10.36 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | ~spl77_1),
% 71.26/10.36 inference(forward_subsumption_resolution,[],[f2092,f2082])).
% 71.26/10.36 thf(f2094,plain,(
% 71.26/10.36 (zero_zero @ nat != one_one @ nat)),
% 71.26/10.36 inference(unit_resulting_resolution,[],[f1290,f1576])).
% 71.26/10.36 thf(f3329,plain,(
% 71.26/10.36 ($true != ((ord_less_eq @ nat @ one_one @ nat @ zero_zero @ nat)))),
% 71.26/10.36 inference(unit_resulting_resolution,[],[f1299,f2094])).
% 71.26/10.36 thf(f3333,plain,(
% 71.26/10.36 ( ! [X0 : nat] : (($true != $true) | (zero_zero @ nat = X0) | (zero_zero @ nat = ((p @ X0)))) ) | ~spl77_2),
% 71.26/10.36 inference(constrained_superposition,[],[f1299,f2075])).
% 71.26/10.36 thf(f3334,plain,(
% 71.26/10.36 ( ! [X0 : nat] : ((zero_zero @ nat = ((p @ X0))) | (zero_zero @ nat = X0)) ) | ~spl77_2),
% 71.26/10.36 inference(trivial_inequality_removal,[],[f3333])).
% 71.26/10.36 thf(f3709,plain,(
% 71.26/10.36 (((times_times @ nat @ zero_zero @ nat)) = (^[Y0 : nat]: (zero_zero @ nat)))),
% 71.26/10.36 inference(unit_resulting_resolution,[],[f1311,f1582])).
% 71.26/10.36 thf(f100263,plain,(
% 71.26/10.36 (zero_zero @ nat != (((^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (sK22 @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))) | ~spl77_1),
% 71.26/10.36 inference(unit_resulting_resolution,[],[f1294,f1573,f2093])).
% 71.26/10.36 thf(f102128,plain,(
% 71.26/10.36 (zero_zero @ nat != ((times_times @ nat @ (p @ (sK22 @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))) @ (sK22 @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))) | ~spl77_1),
% 71.26/10.36 inference(beta-eta_normalization,[],[f100263])).
% 71.26/10.36 thf(f102382,plain,(
% 71.26/10.36 (zero_zero @ nat != ((times_times @ nat @ zero_zero @ nat @ (sK22 @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))) | ~spl77_1),
% 71.26/10.36 inference(forward_demodulation,[],[f102128,f2082])).
% 71.26/10.36 thf(f102846,plain,(
% 71.26/10.36 $false | ~spl77_1),
% 71.26/10.36 inference(forward_subsumption_resolution,[],[f102382,f1303])).
% 71.26/10.36 thf(f102847,plain,(
% 71.26/10.36 ~spl77_1),
% 71.26/10.36 inference(avatar_contradiction_clause,[],[f102846])).
% 71.26/10.36 thf(f102886,plain,(
% 71.26/10.36 (((times_times @ nat @ zero_zero @ nat)) != p) | spl77_1),
% 71.26/10.36 inference(forward_demodulation,[],[f2071,f3709])).
% 71.26/10.36 thf(f102930,plain,(
% 71.26/10.36 (((times_times @ nat @ zero_zero @ nat @ sK79)) != ((p @ sK79))) | spl77_1),
% 71.26/10.36 inference(negative_extensionality,[],[f102886])).
% 71.26/10.36 thf(f102931,plain,(
% 71.26/10.36 (zero_zero @ nat != ((p @ sK79))) | spl77_1),
% 71.26/10.36 inference(forward_demodulation,[],[f102930,f1303])).
% 71.26/10.36 thf(f102932,plain,(
% 71.26/10.36 (zero_zero @ nat = sK79) | (spl77_1 | ~spl77_2)),
% 71.26/10.36 inference(unit_resulting_resolution,[],[f3334,f102931])).
% 71.26/10.36 thf(f103720,plain,(
% 71.26/10.36 ($true = ((ord_less_eq @ nat @ one_one @ nat @ sK79))) | (spl77_1 | ~spl77_3)),
% 71.26/10.36 inference(unit_resulting_resolution,[],[f2079,f102931])).
% 71.26/10.36 thf(f103744,plain,(
% 71.26/10.36 ($true = ((ord_less_eq @ nat @ one_one @ nat @ zero_zero @ nat))) | (spl77_1 | ~spl77_2 | ~spl77_3)),
% 71.26/10.36 inference(forward_demodulation,[],[f103720,f102932])).
% 71.26/10.36 thf(f103758,plain,(
% 71.26/10.36 $false | (spl77_1 | ~spl77_2 | ~spl77_3)),
% 71.26/10.36 inference(forward_subsumption_resolution,[],[f103744,f3329])).
% 71.26/10.36 thf(f103759,plain,(
% 71.26/10.36 spl77_1 | ~spl77_2 | ~spl77_3),
% 71.26/10.36 inference(avatar_contradiction_clause,[],[f103758])).
% 71.26/10.36 cnf(s1, plain, spl77_1 | spl77_2, inference(sat_conversion,[],[f2076])).
% 71.26/10.36 cnf(s2, plain, spl77_1 | spl77_3, inference(sat_conversion,[],[f2080])).
% 71.26/10.36 cnf(s24, plain, ~spl77_1, inference(sat_conversion,[],[f102847])).
% 71.26/10.36 cnf(s33, plain, spl77_1 | ~spl77_2 | ~spl77_3, inference(sat_conversion,[],[f103759])).
% 71.26/10.36 cnf(s34, plain, spl77_3, inference(rat,[],[s2,s24])).
% 71.26/10.36 cnf(s35, plain, ~spl77_2, inference(rat,[],[s33,s24,s34])).
% 71.26/10.36 cnf(s36, plain, $false, inference(rat,[],[s1,s35,s24])).
% 71.26/10.36 thf(f103760,plain,(
% 71.26/10.36 $false),
% 71.26/10.36 inference(avatar_sat_refutation,[],[s36])).
% 71.26/10.36 % SZS output end Proof for theBenchmark
% 71.26/10.36 % (1743669)------------------------------
% 71.26/10.36 % (1743669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.26/10.36 % (1743669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.26/10.36 % (1743669)CaDiCaL version: 2.1.3
% 71.26/10.36 % (1743669)Termination reason: Refutation
% 71.26/10.36 % (1743669)Time elapsed: 7.589 s
% 71.26/10.36 % (1743669)Peak memory usage: 49 MB
% 71.26/10.36 % (1743669)Instructions burned: 17462 (million)
% 71.26/10.36 % (1743600)Success in time 10.121 s
% 71.26/10.36 % Vampire exiting
%------------------------------------------------------------------------------