%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP020^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 08:10:22 AM UTC 2026
% Result : Theorem 8.55s 1.55s
% Output : Refutation 8.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP020^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n009.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 19:33:45 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.98/0.91 % (250897)Will run a generic schedule for satisfiability detection.
% 3.98/0.91 % (250911)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1047199554:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.98/0.91 % (250907)% WARNING: option uhcvi not known.
% 3.98/0.91 % (250906)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=370770838_2999 on theBenchmark for (2999ds/0Mi)
% 3.98/0.91 % (250907)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1801718932:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.98/0.91 % (250910)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2516313346:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.98/0.91 % (250909)dis+10_1_sil=32000:sp=arity:random_seed=478691964:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.98/0.91 % (250908)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2575987913:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.98/0.91 % (250912)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=72019132:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.98/0.91 % (250907)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.98/0.91 % (250910)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.98/0.91 % Exception at run slice level
% 3.98/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.98/0.91 % (250907)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.98/0.91 % (250926)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=133263696:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.98/0.91 % (250911)Instruction limit reached!
% 3.98/0.91 % (250911)------------------------------
% 3.98/0.91 % (250911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/0.91 % (250911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/0.91 % (250911)CaDiCaL version: 2.1.3
% 3.98/0.91 % (250911)Termination reason: Instruction limit
% 3.98/0.91 % (250911)Termination phase: Saturation
% 3.98/0.91 % (250911)Time elapsed: 0.036 s
% 3.98/0.91 % (250911)Peak memory usage: 13 MB
% 3.98/0.91 % (250911)Instructions burned: 132 (million)
% 3.98/0.91 % Exception at run slice level
% 3.98/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.98/0.91 % (250933)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3788504044:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.98/0.91 % (250935)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=841555623:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.98/0.91 % (250909)Instruction limit reached!
% 3.98/0.91 % (250909)------------------------------
% 3.98/0.91 % (250909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/0.91 % (250909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/0.91 % (250909)CaDiCaL version: 2.1.3
% 3.98/0.91 % (250909)Termination reason: Instruction limit
% 3.98/0.91 % (250909)Termination phase: Saturation
% 3.98/0.91 % (250909)Time elapsed: 0.053 s
% 3.98/0.91 % (250909)Peak memory usage: 12 MB
% 3.98/0.91 % (250909)Instructions burned: 103 (million)
% 3.98/0.91 % (250935)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.98/0.91 % (250935)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.98/0.91 % (250910)Instruction limit reached!
% 3.98/0.91 % (250910)------------------------------
% 3.98/0.91 % (250910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/0.91 % (250910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/0.91 % (250910)CaDiCaL version: 2.1.3
% 3.98/0.91 % (250910)Termination reason: Instruction limit
% 3.98/0.91 % (250910)Termination phase: Saturation
% 3.98/0.91 % (250910)Time elapsed: 0.061 s
% 3.98/0.91 % (250910)Peak memory usage: 13 MB
% 3.98/0.91 % (250910)Instructions burned: 117 (million)
% 3.98/0.91 % (250944)ott-21_1_sil=16000:fs=off:random_seed=4272739502:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 3.98/0.91 % (250947)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2273754186:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 8.55/1.55 % (250912)Instruction limit reached!
% 8.55/1.55 % (250912)------------------------------
% 8.55/1.55 % (250912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.55 % (250912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.55 % (250912)CaDiCaL version: 2.1.3
% 8.55/1.55 % (250912)Termination reason: Instruction limit
% 8.55/1.55 % (250912)Termination phase: Saturation
% 8.55/1.55 % (250912)Time elapsed: 0.081 s
% 8.55/1.55 % (250912)Peak memory usage: 13 MB
% 8.55/1.55 % (250912)Instructions burned: 160 (million)
% 8.55/1.55 % (250933)Instruction limit reached!
% 8.55/1.55 % (250933)------------------------------
% 8.55/1.55 % (250933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.55 % (250933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.55 % (250933)CaDiCaL version: 2.1.3
% 8.55/1.55 % (250933)Termination reason: Instruction limit
% 8.55/1.55 % (250933)Termination phase: Saturation
% 8.55/1.55 % (250933)Time elapsed: 0.047 s
% 8.55/1.55 % (250933)Peak memory usage: 13 MB
% 8.55/1.55 % (250933)Instructions burned: 131 (million)
% 8.55/1.55 % (250954)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1210897853:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 8.55/1.55 % (250958)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3036581503:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 8.55/1.55 % Exception at run slice level
% 8.55/1.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.55/1.55 % (250963)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1407961562:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 8.55/1.55 % Exception at run slice level
% 8.55/1.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.55/1.55 % (250944)Instruction limit reached!
% 8.55/1.55 % (250944)------------------------------
% 8.55/1.55 % (250944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.55 % (250944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.55 % (250944)CaDiCaL version: 2.1.3
% 8.55/1.55 % (250944)Termination reason: Instruction limit
% 8.55/1.55 % (250944)Termination phase: Saturation
% 8.55/1.55 % (250944)Time elapsed: 0.081 s
% 8.55/1.55 % (250944)Peak memory usage: 13 MB
% 8.55/1.55 % (250944)Instructions burned: 181 (million)
% 8.55/1.55 % (250975)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=2201758126:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 8.55/1.55 % (250975)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.55/1.55 % (250980)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1833161016:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 8.55/1.55 % (250980)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.55/1.55 % (250947)Instruction limit reached!
% 8.55/1.55 % (250947)------------------------------
% 8.55/1.55 % (250947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.55 % (250947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.55 % (250947)CaDiCaL version: 2.1.3
% 8.55/1.55 % (250947)Termination reason: Instruction limit
% 8.55/1.55 % (250947)Termination phase: Saturation
% 8.55/1.55 % (250947)Time elapsed: 0.244 s
% 8.55/1.55 % (250947)Peak memory usage: 13 MB
% 8.55/1.55 % (250947)Instructions burned: 480 (million)
% 8.55/1.55 % (251025)fmb+10_1_sil=64000:random_seed=4151967721:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 8.55/1.55 % (251025)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.55/1.55 % Exception at run slice level
% 8.55/1.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.55/1.55 % (251027)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1292655750:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 8.55/1.55 % Exception at run slice level
% 8.55/1.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.55/1.55 % (250935)Instruction limit reached!
% 8.55/1.55 % (250935)------------------------------
% 8.55/1.55 % (250935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.55 % (250935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.55 % (250935)CaDiCaL version: 2.1.3
% 8.55/1.55 % (250935)Termination reason: Instruction limit
% 8.55/1.55 % (250935)Termination phase: Saturation
% 8.55/1.55 % (250935)Time elapsed: 0.328 s
% 8.55/1.55 % (250935)Peak memory usage: 15 MB
% 8.55/1.55 % (250935)Instructions burned: 685 (million)
% 8.55/1.55 % (251029)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=779199404:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 8.55/1.55 % (251030)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3874143924:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 8.55/1.55 % (251030)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.55/1.55 % (250958)Instruction limit reached!
% 8.55/1.55 % (250958)------------------------------
% 8.55/1.55 % (250958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.55 % (250958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.55 % (250958)CaDiCaL version: 2.1.3
% 8.55/1.55 % (250958)Termination reason: Instruction limit
% 8.55/1.55 % (250958)Termination phase: Saturation
% 8.55/1.55 % (250958)Time elapsed: 0.296 s
% 8.55/1.55 % (250958)Peak memory usage: 19 MB
% 8.55/1.55 % (250958)Instructions burned: 1180 (million)
% 8.55/1.55 % Exception at run slice level
% 8.55/1.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.55/1.55 % (251033)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3923276632:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 8.55/1.55 % (251034)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4060065259:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 8.55/1.55 % (251033)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.55/1.55 % (251033)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.55/1.55 % Exception at run slice level
% 8.55/1.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.55/1.55 % (251037)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3677281627:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 8.55/1.55 % Exception at run slice level
% 8.55/1.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.55/1.55 % (251039)ott-2_1_sil=16000:newcnf=on:random_seed=1237384510:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 8.55/1.55 % (251039)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.55/1.55 % (250975)Instruction limit reached!
% 8.55/1.55 % (250975)------------------------------
% 8.55/1.55 % (250975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.55 % (250975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.55 % (250975)CaDiCaL version: 2.1.3
% 8.55/1.55 % (250975)Termination reason: Instruction limit
% 8.55/1.55 % (250975)Termination phase: Saturation
% 8.55/1.55 % (250975)Time elapsed: 0.335 s
% 8.55/1.55 % (250975)Peak memory usage: 17 MB
% 8.55/1.55 % (250975)Instructions burned: 692 (million)
% 8.55/1.55 % (251041)ott+10_1_sil=32000:tgt=ground:random_seed=1921588119:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 8.55/1.55 % (250980)Instruction limit reached!
% 8.55/1.55 % (250980)------------------------------
% 8.55/1.55 % (250980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.55 % (250980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.55 % (250980)CaDiCaL version: 2.1.3
% 8.55/1.55 % (250980)Termination reason: Instruction limit
% 8.55/1.55 % (250980)Termination phase: Saturation
% 8.55/1.55 % (250980)Time elapsed: 0.426 s
% 8.55/1.55 % (250980)Peak memory usage: 18 MB
% 8.55/1.55 % (250980)Instructions burned: 880 (million)
% 8.55/1.55 % (251043)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3033436735:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 8.55/1.55 % Exception at run slice level
% 8.55/1.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.55/1.55 % (251045)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3159625388:i=3512:aac=none_2993 on theBenchmark for (2993ds/3512Mi)
% 8.55/1.55 % (251045)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.55/1.55 % (251039)Instruction limit reached!
% 8.55/1.55 % (251039)------------------------------
% 8.55/1.55 % (251039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.55 % (251039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.55 % (251039)CaDiCaL version: 2.1.3
% 8.55/1.55 % (251039)Termination reason: Instruction limit
% 8.55/1.55 % (251039)Termination phase: Saturation
% 8.55/1.55 % (251039)Time elapsed: 0.420 s
% 8.55/1.55 % (251039)Peak memory usage: 16 MB
% 8.55/1.55 % (251039)Instructions burned: 870 (million)
% 8.55/1.55 % (251047)dis+21_1_sil=32000:sas=cadical:random_seed=2177354406:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 8.55/1.55 % (251033)Instruction limit reached!
% 8.55/1.55 % (251033)------------------------------
% 8.55/1.55 % (251033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.55 % (251033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.55 % (251033)CaDiCaL version: 2.1.3
% 8.55/1.55 % (251033)Termination reason: Instruction limit
% 8.55/1.55 % (251033)Termination phase: Saturation
% 8.55/1.55 % (251033)Time elapsed: 0.694 s
% 8.55/1.55 % (251033)Peak memory usage: 16 MB
% 8.55/1.55 % (251033)Instructions burned: 1474 (million)
% 8.55/1.55 % (251049)ott+11_1_sil=16000:gs=on:random_seed=1615481409:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 8.55/1.55 % (251049)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.55/1.55 % (250907) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-250897-250907"...
% 8.55/1.55 % (250907)...printing done.
% 8.55/1.55 % (250907)Refutation found. Thanks to Tanya!
% 8.55/1.55 % SZS status Theorem for theBenchmark
% 8.55/1.55 % SZS output start Proof for theBenchmark
% 8.55/1.55 thf(type_def_5, type, tyop_2Emin_2Ebool: $tType).
% 8.55/1.55 thf(type_def_6, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 8.55/1.55 thf(type_def_7, type, tyop_2Enum_2Enum: $tType).
% 8.55/1.55 thf(type_def_8, type, tyop_2Epair_2Eprod: ($tType * $tType) > $tType).
% 8.55/1.55 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 8.55/1.55 thf(func_def_0, type, c_2Ebool_2E_21: !>[X0: $tType]:(((X0 > $o) > $o))).
% 8.55/1.55 thf(func_def_1, type, c_2Ebool_2E_2F_5C: ($o > $o > $o)).
% 8.55/1.55 thf(func_def_2, type, c_2Emin_2E_3D: !>[X0: $tType]:((X0 > X0 > $o))).
% 8.55/1.55 thf(func_def_3, type, c_2Emin_2E_3D_3D_3E: ($o > $o > $o)).
% 8.55/1.55 thf(func_def_4, type, c_2Ebool_2E_3F: !>[X0: $tType]:(((X0 > $o) > $o))).
% 8.55/1.55 thf(func_def_5, type, c_2Epred__set_2EBIJ: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > $o) > $o))).
% 8.55/1.55 thf(func_def_6, type, c_2Epred__set_2ECROSS: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > tyop_2Epair_2Eprod @ X0 @ X1 > $o))).
% 8.55/1.55 thf(func_def_7, type, c_2Ebool_2EF: $o).
% 8.55/1.55 thf(func_def_8, type, c_2Ebool_2ET: $o).
% 8.55/1.55 thf(func_def_9, type, c_2Epred__set_2EUNIV: !>[X0: $tType]:((X0 > $o))).
% 8.55/1.55 thf(func_def_10, type, c_2Ebool_2E_5C_2F: ($o > $o > $o)).
% 8.55/1.55 thf(func_def_11, type, c_2Ebool_2E_7E: ($o > $o)).
% 8.55/1.55 thf(func_def_13, type, vNOT: ($o > $o)).
% 8.55/1.55 thf(func_def_16, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 8.55/1.55 thf(func_def_17, type, db0: !>[X0: $tType]:(X0)).
% 8.55/1.55 thf(func_def_18, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 8.55/1.55 thf(func_def_19, type, vOR: ($o > $o > $o)).
% 8.55/1.55 thf(func_def_20, type, sP0: ($o > $o > $o > $o)).
% 8.55/1.55 thf(func_def_21, type, sP1: ($o > $o > $o > $o)).
% 8.55/1.55 thf(func_def_22, type, sP2: ($o > $o > $o > $o)).
% 8.55/1.55 thf(func_def_23, type, sP3: ($o > $o > $o > $o)).
% 8.55/1.55 thf(func_def_24, type, sP4: ($o > $o > $o > $o)).
% 8.55/1.55 thf(func_def_25, type, sP5: ($o > $o > $o > $o)).
% 8.55/1.55 thf(func_def_26, type, sP6: ($o > $o > $o > $o)).
% 8.55/1.55 thf(func_def_27, type, sP7: ($o > $o > $o > $o)).
% 8.55/1.55 thf(func_def_28, type, sP8: ($o > $o > $o > $o)).
% 8.55/1.55 thf(func_def_29, type, sP9: ($o > $o > $o > $o)).
% 8.55/1.55 thf(func_def_30, type, sK10: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_31, type, sK11: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_32, type, sK12: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_33, type, sK13: !>[X0: $tType]:(($o > (X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_34, type, sK14: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_35, type, sK15: !>[X0: $tType]:(((X0 > $o) > $o > X0))).
% 8.55/1.55 thf(func_def_36, type, sK16: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_37, type, sK17: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_38, type, sK18: !>[X0: $tType]:(($o > (X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_39, type, sK19: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_40, type, sK20: !>[X0: $tType]:(((X0 > $o) > $o > X0))).
% 8.55/1.55 thf(func_def_41, type, sK21: !>[X0: $tType]:(($o > (X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_42, type, sK22: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_43, type, sK23: !>[X0: $tType]:(((X0 > $o) > $o > X0))).
% 8.55/1.55 thf(func_def_44, type, sK24: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_45, type, sK25: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_46, type, sK26: !>[X0: $tType]:(((X0 > $o) > $o > X0))).
% 8.55/1.55 thf(func_def_47, type, sK27: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_48, type, sK28: !>[X0: $tType]:(((X0 > $o) > $o > X0))).
% 8.55/1.55 thf(func_def_49, type, sK29: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1 > $o) > X1))).
% 8.55/1.55 thf(func_def_50, type, sK30: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1 > $o) > X0))).
% 8.55/1.55 thf(func_def_51, type, sK31: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0 > X1))).
% 8.55/1.55 thf(func_def_52, type, sK32: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0))).
% 8.55/1.55 thf(func_def_53, type, sK33: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > $o) > X0 > X1))).
% 8.55/1.55 thf(func_def_54, type, sK34: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > $o) > X1 > X0))).
% 8.55/1.55 thf(func_def_55, type, sK35: (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum > tyop_2Enum_2Enum)).
% 8.55/1.55 thf(func_def_56, type, sK36: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.55/1.55 thf(func_def_58, type, db1: !>[X0: $tType]:(X0)).
% 8.55/1.55 thf(func_def_59, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 8.55/1.55 thf(func_def_60, type, db2: !>[X0: $tType]:(X0)).
% 8.55/1.55 thf(func_def_61, type, db3: !>[X0: $tType]:(X0)).
% 8.55/1.55 thf(f27,axiom,(
% 8.55/1.55 ! [X0 : $tType,X1 : $tType,X2 : (X0 > $o),X3 : (X1 > $o)] : (? [X4 : (X0 > X1)] : (c_2Epred__set_2EBIJ @ X0 @ X1 @ X4 @ X2 @ X3) <=> ? [X5 : (X1 > X0)] : (c_2Epred__set_2EBIJ @ X1 @ X0 @ X5 @ X3 @ X2))),
% 8.55/1.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EBIJ__SYM)).
% 8.55/1.55 thf(f38,axiom,(
% 8.55/1.55 ? [X0 : (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum > tyop_2Enum_2Enum)] : (c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum)),
% 8.55/1.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eutil__prob_2ENUM__2D__BIJ)).
% 8.55/1.55 thf(f39,conjecture,(
% 8.55/1.55 ? [X0 : (tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)] : (c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))),
% 8.55/1.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eutil__prob_2ENUM__2D__BIJ__INV)).
% 8.55/1.55 thf(f40,negated_conjecture,(
% 8.55/1.55 ~ ? [X0 : (tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)] : (c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))),
% 8.55/1.55 inference(negated_conjecture,[status(cth)],[f39])).
% 8.55/1.55 thf(f91,plain,(
% 8.55/1.55 ! [X0 : $tType,X1 : $tType,X2 : (X0 > $o),X3 : (X1 > $o)] : (? [X4 : (X0 > X1)] : (c_2Epred__set_2EBIJ @ X0 @ X1 @ X4 @ X2 @ X3) <=> ? [X5 : (X1 > X0)] : (c_2Epred__set_2EBIJ @ X1 @ X0 @ X5 @ X3 @ X2))),
% 8.55/1.55 inference(rectify,[],[f27])).
% 8.55/1.55 thf(f92,plain,(
% 8.55/1.55 ! [X0 : $tType,X1 : $tType,X2 : (X0 > $o),X3 : (X1 > $o)] : (? [X4 : (X0 > X1)] : (((c_2Epred__set_2EBIJ @ X0 @ X1 @ X4 @ X2 @ X3)) = $true) <=> ? [X5 : (X1 > X0)] : (((c_2Epred__set_2EBIJ @ X1 @ X0 @ X5 @ X3 @ X2)) = $true))),
% 8.55/1.55 inference(fool_elimination,[],[f91])).
% 8.55/1.55 thf(f113,plain,(
% 8.55/1.55 ? [X0 : (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum > tyop_2Enum_2Enum)] : (c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum)),
% 8.55/1.55 inference(rectify,[],[f38])).
% 8.55/1.55 thf(f114,plain,(
% 8.55/1.55 ? [X0 : (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum > tyop_2Enum_2Enum)] : (((c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum)) = $true)),
% 8.55/1.55 inference(fool_elimination,[],[f113])).
% 8.55/1.55 thf(f115,plain,(
% 8.55/1.55 ~ ? [X0 : (tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)] : (c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))),
% 8.55/1.55 inference(rectify,[],[f40])).
% 8.55/1.55 thf(f116,plain,(
% 8.55/1.55 ~ ? [X0 : (tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)] : (((c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))) = $true)),
% 8.55/1.55 inference(fool_elimination,[],[f115])).
% 8.55/1.55 thf(f134,plain,(
% 8.55/1.55 ! [X0 : (tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)] : (((c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))) != $true)),
% 8.55/1.55 inference(ennf_transformation,[],[f116])).
% 8.55/1.55 thf(f207,plain,(
% 8.55/1.55 ! [X0 : $tType,X1 : $tType,X2 : (X0 > $o),X3 : (X1 > $o)] : ((? [X4 : (X0 > X1)] : (((c_2Epred__set_2EBIJ @ X0 @ X1 @ X4 @ X2 @ X3)) = $true) | ! [X5 : (X1 > X0)] : (((c_2Epred__set_2EBIJ @ X1 @ X0 @ X5 @ X3 @ X2)) != $true)) & (? [X5 : (X1 > X0)] : (((c_2Epred__set_2EBIJ @ X1 @ X0 @ X5 @ X3 @ X2)) = $true) | ! [X4 : (X0 > X1)] : (((c_2Epred__set_2EBIJ @ X0 @ X1 @ X4 @ X2 @ X3)) != $true)))),
% 8.55/1.55 inference(nnf_transformation,[],[f92])).
% 8.55/1.55 thf(f208,plain,(
% 8.55/1.55 ! [X0 : $tType,X1 : $tType,X2 : (X0 > $o),X3 : (X1 > $o)] : ((? [X4 : (X0 > X1)] : (((c_2Epred__set_2EBIJ @ X0 @ X1 @ X4 @ X2 @ X3)) = $true) | ! [X5 : (X1 > X0)] : (((c_2Epred__set_2EBIJ @ X1 @ X0 @ X5 @ X3 @ X2)) != $true)) & (? [X6 : (X1 > X0)] : ($true = ((c_2Epred__set_2EBIJ @ X1 @ X0 @ X6 @ X3 @ X2))) | ! [X7 : (X0 > X1)] : ($true != ((c_2Epred__set_2EBIJ @ X0 @ X1 @ X7 @ X2 @ X3)))))),
% 8.55/1.55 inference(rectify,[],[f207])).
% 8.55/1.55 thf(f209,plain,(
% 8.55/1.55 ! [X0 : $tType,X1 : $tType,X2 : (X0 > $o),X3 : (X1 > $o)] : ((($true = ((c_2Epred__set_2EBIJ @ X0 @ X1 @ (sK33 @ X0 @ X1 @ X3 @ X2) @ X2 @ X3))) | ! [X5 : (X1 > X0)] : (((c_2Epred__set_2EBIJ @ X1 @ X0 @ X5 @ X3 @ X2)) != $true)) & (($true = ((c_2Epred__set_2EBIJ @ X1 @ X0 @ (sK34 @ X0 @ X1 @ X3 @ X2) @ X3 @ X2))) | ! [X7 : (X0 > X1)] : ($true != ((c_2Epred__set_2EBIJ @ X0 @ X1 @ X7 @ X2 @ X3)))))),
% 8.55/1.55 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X2,sK10 @ X0 @ X1),skolemize(X2,sK10 @ X0 @ X1)],[f208])).
% 8.55/1.55 thf(f251,plain,(
% 8.55/1.55 ($true = ((c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ sK35 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum)))),
% 8.55/1.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X0,sK35)],[f114])).
% 8.55/1.55 thf(f344,plain,(
% 8.55/1.55 ( ! [X1 : $tType,X0 : $tType,X2 : (X0 > $o),X3 : (X1 > $o),X7 : (X0 > X1)] : (($true != ((c_2Epred__set_2EBIJ @ X0 @ X1 @ X7 @ X2 @ X3))) | ($true = ((c_2Epred__set_2EBIJ @ X1 @ X0 @ (sK34 @ X0 @ X1 @ X3 @ X2) @ X3 @ X2)))) )),
% 8.55/1.55 inference(cnf_transformation,[],[f209])).
% 8.55/1.55 thf(f444,plain,(
% 8.55/1.55 ($true = ((c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ sK35 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum)))),
% 8.55/1.55 inference(cnf_transformation,[],[f251])).
% 8.55/1.55 thf(f445,plain,(
% 8.55/1.55 ( ! [X0 : (tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)] : ((((c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))) != $true)) )),
% 8.55/1.55 inference(cnf_transformation,[],[f134])).
% 8.55/1.55 thf(f45455,plain,(
% 8.55/1.55 ($true != $true) | ($true = ((c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ (sK34 @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum)) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))))),
% 8.55/1.55 inference(constrained_superposition,[],[f344,f444])).
% 8.55/1.55 thf(f45456,plain,(
% 8.55/1.55 ($true = ((c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ (sK34 @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum)) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))))),
% 8.55/1.55 inference(trivial_inequality_removal,[],[f45455])).
% 8.55/1.55 thf(f45465,plain,(
% 8.55/1.55 $false),
% 8.55/1.55 inference(forward_subsumption_resolution,[],[f45456,f445])).
% 8.55/1.55 % SZS output end Proof for theBenchmark
% 8.55/1.55 % (250907)------------------------------
% 8.55/1.55 % (250907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.55 % (250907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.55 % (250907)CaDiCaL version: 2.1.3
% 8.55/1.55 % (250907)Termination reason: Refutation
% 8.55/1.55 % (250907)Time elapsed: 1.279 s
% 8.55/1.55 % (250907)Peak memory usage: 26 MB
% 8.55/1.55 % (250907)Instructions burned: 2937 (million)
% 8.55/1.55 % (250897)Success in time 1.323 s
% 8.55/1.55 % Vampire exiting
%------------------------------------------------------------------------------