%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV028^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 08:38:53 AM UTC 2026
% Result : Theorem 8.77s 1.69s
% Output : Refutation 8.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV028^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n011.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 15:04:21 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.25 Running first-order model finding
% 0.09/0.25 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
% 3.93/1.01 % (192059)Will run a generic schedule for satisfiability detection.
% 3.93/1.01 % (192065)% WARNING: option uhcvi not known.
% 3.93/1.01 % (192064)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1295682936_2999 on theBenchmark for (2999ds/0Mi)
% 3.93/1.01 % (192066)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3207759691:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.93/1.01 % (192065)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3642518675:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.93/1.01 % (192068)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=583239863:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.93/1.01 % (192067)dis+10_1_sil=32000:sp=arity:random_seed=3009479399:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.93/1.01 % (192065)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.93/1.01 % (192068)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.93/1.01 % (192065)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.93/1.01 % Exception at run slice level
% 3.93/1.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.93/1.01 % (192069)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=911640200:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.93/1.01 % (192070)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1070938240:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.93/1.01 % (192076)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1605091868:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.93/1.01 % Exception at run slice level
% 3.93/1.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.93/1.01 % (192087)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2299067534:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.93/1.01 % (192067)Instruction limit reached!
% 3.93/1.01 % (192067)------------------------------
% 3.93/1.01 % (192067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/1.01 % (192067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.01 % (192067)CaDiCaL version: 2.1.3
% 3.93/1.01 % (192067)Termination reason: Instruction limit
% 3.93/1.01 % (192067)Termination phase: Saturation
% 3.93/1.01 % (192067)Time elapsed: 0.051 s
% 3.93/1.01 % (192067)Peak memory usage: 12 MB
% 3.93/1.01 % (192067)Instructions burned: 104 (million)
% 3.93/1.01 % (192068)Instruction limit reached!
% 3.93/1.01 % (192068)------------------------------
% 3.93/1.01 % (192068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/1.01 % (192068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.01 % (192068)CaDiCaL version: 2.1.3
% 3.93/1.01 % (192068)Termination reason: Instruction limit
% 3.93/1.01 % (192068)Termination phase: Saturation
% 3.93/1.01 % (192068)Time elapsed: 0.058 s
% 3.93/1.01 % (192068)Peak memory usage: 12 MB
% 3.93/1.01 % (192068)Instructions burned: 117 (million)
% 3.93/1.01 % (192097)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=4253781594:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.93/1.01 % (192097)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.93/1.01 % (192097)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.93/1.01 % (192069)Instruction limit reached!
% 3.93/1.01 % (192069)------------------------------
% 3.93/1.01 % (192069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/1.01 % (192069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.01 % (192069)CaDiCaL version: 2.1.3
% 3.93/1.01 % (192069)Termination reason: Instruction limit
% 3.93/1.01 % (192069)Termination phase: Saturation
% 3.93/1.01 % (192069)Time elapsed: 0.064 s
% 3.93/1.01 % (192069)Peak memory usage: 12 MB
% 3.93/1.01 % (192069)Instructions burned: 132 (million)
% 3.93/1.01 % (192100)ott-21_1_sil=16000:fs=off:random_seed=374060701:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 3.93/1.01 % (192087)Instruction limit reached!
% 3.93/1.01 % (192087)------------------------------
% 8.77/1.69 % (192087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.69 % (192087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.69 % (192087)CaDiCaL version: 2.1.3
% 8.77/1.69 % (192087)Termination reason: Instruction limit
% 8.77/1.69 % (192087)Termination phase: Saturation
% 8.77/1.69 % (192087)Time elapsed: 0.042 s
% 8.77/1.69 % (192087)Peak memory usage: 12 MB
% 8.77/1.69 % (192087)Instructions burned: 131 (million)
% 8.77/1.69 % (192070)Instruction limit reached!
% 8.77/1.69 % (192070)------------------------------
% 8.77/1.69 % (192070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.69 % (192070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.69 % (192070)CaDiCaL version: 2.1.3
% 8.77/1.69 % (192070)Termination reason: Instruction limit
% 8.77/1.69 % (192070)Termination phase: Saturation
% 8.77/1.69 % (192070)Time elapsed: 0.079 s
% 8.77/1.69 % (192070)Peak memory usage: 13 MB
% 8.77/1.69 % (192070)Instructions burned: 161 (million)
% 8.77/1.69 % (192107)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3088501571:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.77/1.69 % (192111)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1968343524:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 8.77/1.69 % Exception at run slice level
% 8.77/1.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.77/1.69 % (192116)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3691407808:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 8.77/1.69 % (192124)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4028583958:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 8.77/1.69 % Exception at run slice level
% 8.77/1.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.77/1.69 % (192135)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=3081424438: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)
% 8.77/1.69 % (192135)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.77/1.69 % (192100)Instruction limit reached!
% 8.77/1.69 % (192100)------------------------------
% 8.77/1.69 % (192100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.69 % (192100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.69 % (192100)CaDiCaL version: 2.1.3
% 8.77/1.69 % (192100)Termination reason: Instruction limit
% 8.77/1.69 % (192100)Termination phase: Saturation
% 8.77/1.69 % (192100)Time elapsed: 0.083 s
% 8.77/1.69 % (192100)Peak memory usage: 12 MB
% 8.77/1.69 % (192100)Instructions burned: 181 (million)
% 8.77/1.69 % (192156)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2674447109:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 8.77/1.69 % (192156)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.77/1.69 % (192107)Instruction limit reached!
% 8.77/1.69 % (192107)------------------------------
% 8.77/1.69 % (192107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.69 % (192107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.69 % (192107)CaDiCaL version: 2.1.3
% 8.77/1.69 % (192107)Termination reason: Instruction limit
% 8.77/1.69 % (192107)Termination phase: Saturation
% 8.77/1.69 % (192107)Time elapsed: 0.151 s
% 8.77/1.69 % (192107)Peak memory usage: 13 MB
% 8.77/1.69 % (192107)Instructions burned: 480 (million)
% 8.77/1.69 % (192178)fmb+10_1_sil=64000:random_seed=131431859:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 8.77/1.69 % (192178)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.77/1.69 % Exception at run slice level
% 8.77/1.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.77/1.69 % (192183)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3039496058:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 8.77/1.69 % Exception at run slice level
% 8.77/1.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.77/1.69 % (192185)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2134898467:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 8.77/1.69 % Exception at run slice level
% 8.77/1.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.77/1.69 % (192187)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=887474607:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 8.77/1.69 % (192187)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.77/1.69 % (192097)Instruction limit reached!
% 8.77/1.69 % (192097)------------------------------
% 8.77/1.69 % (192097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.69 % (192097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.69 % (192097)CaDiCaL version: 2.1.3
% 8.77/1.69 % (192097)Termination reason: Instruction limit
% 8.77/1.69 % (192097)Termination phase: Saturation
% 8.77/1.69 % (192097)Time elapsed: 0.313 s
% 8.77/1.69 % (192097)Peak memory usage: 14 MB
% 8.77/1.69 % (192097)Instructions burned: 686 (million)
% 8.77/1.69 % (192221)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2649413797:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 8.77/1.69 % (192221)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.77/1.69 % (192221)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.77/1.69 % (192135)Instruction limit reached!
% 8.77/1.69 % (192135)------------------------------
% 8.77/1.69 % (192135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.69 % (192135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.69 % (192135)CaDiCaL version: 2.1.3
% 8.77/1.69 % (192135)Termination reason: Instruction limit
% 8.77/1.69 % (192135)Termination phase: Saturation
% 8.77/1.69 % (192135)Time elapsed: 0.314 s
% 8.77/1.69 % (192135)Peak memory usage: 14 MB
% 8.77/1.69 % (192135)Instructions burned: 693 (million)
% 8.77/1.69 % (192235)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=835786514:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 8.77/1.69 % Exception at run slice level
% 8.77/1.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.77/1.69 % (192241)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3094986985:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 8.77/1.69 % Exception at run slice level
% 8.77/1.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.77/1.69 % (192251)ott-2_1_sil=16000:newcnf=on:random_seed=128465388:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 8.77/1.69 % (192251)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.77/1.69 % (192116)Instruction limit reached!
% 8.77/1.69 % (192116)------------------------------
% 8.77/1.69 % (192116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.69 % (192116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.69 % (192116)CaDiCaL version: 2.1.3
% 8.77/1.69 % (192116)Termination reason: Instruction limit
% 8.77/1.69 % (192116)Termination phase: Saturation
% 8.77/1.69 % (192116)Time elapsed: 0.566 s
% 8.77/1.69 % (192116)Peak memory usage: 16 MB
% 8.77/1.69 % (192116)Instructions burned: 1180 (million)
% 8.77/1.69 % (192156)Instruction limit reached!
% 8.77/1.69 % (192156)------------------------------
% 8.77/1.69 % (192156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.69 % (192156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.69 % (192156)CaDiCaL version: 2.1.3
% 8.77/1.69 % (192156)Termination reason: Instruction limit
% 8.77/1.69 % (192156)Termination phase: Saturation
% 8.77/1.69 % (192156)Time elapsed: 0.498 s
% 8.77/1.69 % (192156)Peak memory usage: 16 MB
% 8.77/1.69 % (192156)Instructions burned: 879 (million)
% 8.77/1.69 % (192301)ott+10_1_sil=32000:tgt=ground:random_seed=3851366504:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 8.77/1.69 % (192302)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3604920147:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 8.77/1.69 % Exception at run slice level
% 8.77/1.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.77/1.69 % (192311)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=755385338:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 8.77/1.69 % (192251)Instruction limit reached!
% 8.77/1.69 % (192251)------------------------------
% 8.77/1.69 % (192251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.69 % (192251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.69 % (192251)CaDiCaL version: 2.1.3
% 8.77/1.69 % (192251)Termination reason: Instruction limit
% 8.77/1.69 % (192251)Termination phase: Saturation
% 8.77/1.69 % (192251)Time elapsed: 0.216 s
% 8.77/1.69 % (192251)Peak memory usage: 14 MB
% 8.77/1.69 % (192251)Instructions burned: 869 (million)
% 8.77/1.69 % (192311)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.77/1.69 % (192321)dis+21_1_sil=32000:sas=cadical:random_seed=3366045638:i=3773:amm=off_2992 on theBenchmark for (2992ds/3773Mi)
% 8.77/1.69 % (192221)Instruction limit reached!
% 8.77/1.69 % (192221)------------------------------
% 8.77/1.69 % (192221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.69 % (192221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.69 % (192221)CaDiCaL version: 2.1.3
% 8.77/1.69 % (192221)Termination reason: Instruction limit
% 8.77/1.69 % (192221)Termination phase: Saturation
% 8.77/1.69 % (192221)Time elapsed: 0.708 s
% 8.77/1.69 % (192221)Peak memory usage: 16 MB
% 8.77/1.69 % (192221)Instructions burned: 1474 (million)
% 8.77/1.69 % (192411)ott+11_1_sil=16000:gs=on:random_seed=2026495845:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 8.77/1.69 % (192411)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.77/1.69 % (192311) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-192059-192311"...
% 8.77/1.69 % (192311)...printing done.
% 8.77/1.69 % (192311)Refutation found. Thanks to Tanya!
% 8.77/1.69 % SZS status Theorem for theBenchmark
% 8.77/1.69 % SZS output start Proof for theBenchmark
% 8.77/1.69 thf(type_def_5, type, a: $tType).
% 8.77/1.69 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 8.77/1.69 thf(func_def_0, type, cQ: (a > a > $o)).
% 8.77/1.69 thf(func_def_4, type, sK0: a).
% 8.77/1.69 thf(func_def_5, type, sK1: a).
% 8.77/1.69 thf(func_def_6, type, sK2: a).
% 8.77/1.69 thf(func_def_7, type, sK3: a).
% 8.77/1.69 thf(func_def_8, type, sK4: a).
% 8.77/1.69 thf(func_def_9, type, sK5: a).
% 8.77/1.69 thf(func_def_10, type, sK6: (a > a > $o)).
% 8.77/1.69 thf(func_def_11, type, sK7: ((a > $o) > a)).
% 8.77/1.69 thf(func_def_12, type, sK8: ((a > $o) > a)).
% 8.77/1.69 thf(func_def_13, type, sK9: (a > a)).
% 8.77/1.69 thf(func_def_14, type, sK10: ((a > $o) > a)).
% 8.77/1.69 thf(func_def_15, type, sK11: ((a > $o) > a)).
% 8.77/1.69 thf(func_def_16, type, sK12: ((a > $o) > a)).
% 8.77/1.69 thf(func_def_17, type, vNOT: ($o > $o)).
% 8.77/1.69 thf(func_def_19, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 8.77/1.69 thf(func_def_20, type, db0: !>[X0: $tType]:(X0)).
% 8.77/1.69 thf(func_def_21, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 8.77/1.69 thf(func_def_22, type, db1: !>[X0: $tType]:(X0)).
% 8.77/1.69 thf(f1,conjecture,(
% 8.77/1.69 (! [X2 : a] : ? [X0 : (a > $o)] : (! [X5 : (a > $o)] : (((X5 @ X2) & ! [X4 : a] : ((X5 @ X4) => ! [X3 : a] : ((X5 @ X3) <=> (cQ @ X4 @ X3))) & ? [X1 : a] : (X5 @ X1)) => (X5 = X0)) & (X0 @ X2) & ! [X4 : a] : ((X0 @ X4) => ! [X3 : a] : ((X0 @ X3) <=> (cQ @ X4 @ X3))) & ? [X1 : a] : (X0 @ X1)) & ! [X0 : (a > $o)] : ((! [X2 : a] : ((X0 @ X2) => ! [X3 : a] : ((X0 @ X3) <=> (cQ @ X2 @ X3))) & ? [X1 : a] : (X0 @ X1)) => ? [X1 : a] : (X0 @ X1))) => (! [X2 : a,X3 : a,X1 : a] : (((cQ @ X3 @ X1) & (cQ @ X2 @ X3)) => (cQ @ X2 @ X1)) & ! [X2 : a,X3 : a] : ((cQ @ X2 @ X3) => (cQ @ X3 @ X2)) & ! [X2 : a] : (cQ @ X2 @ X2))),
% 8.77/1.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM558_pme)).
% 8.77/1.69 thf(f2,negated_conjecture,(
% 8.77/1.69 ~((! [X2 : a] : ? [X0 : (a > $o)] : (! [X5 : (a > $o)] : (((X5 @ X2) & ! [X4 : a] : ((X5 @ X4) => ! [X3 : a] : ((X5 @ X3) <=> (cQ @ X4 @ X3))) & ? [X1 : a] : (X5 @ X1)) => (X5 = X0)) & (X0 @ X2) & ! [X4 : a] : ((X0 @ X4) => ! [X3 : a] : ((X0 @ X3) <=> (cQ @ X4 @ X3))) & ? [X1 : a] : (X0 @ X1)) & ! [X0 : (a > $o)] : ((! [X2 : a] : ((X0 @ X2) => ! [X3 : a] : ((X0 @ X3) <=> (cQ @ X2 @ X3))) & ? [X1 : a] : (X0 @ X1)) => ? [X1 : a] : (X0 @ X1))) => (! [X2 : a,X3 : a,X1 : a] : (((cQ @ X3 @ X1) & (cQ @ X2 @ X3)) => (cQ @ X2 @ X1)) & ! [X2 : a,X3 : a] : ((cQ @ X2 @ X3) => (cQ @ X3 @ X2)) & ! [X2 : a] : (cQ @ X2 @ X2)))),
% 8.77/1.69 inference(negated_conjecture,[status(cth)],[f1])).
% 8.77/1.69 thf(f3,plain,(
% 8.77/1.69 ~((! [X0 : a] : ? [X1 : (a > $o)] : (! [X2 : (a > $o)] : (((X2 @ X0) & ! [X3 : a] : ((X2 @ X3) => ! [X4 : a] : ((X2 @ X4) <=> (cQ @ X3 @ X4))) & ? [X5 : a] : (X2 @ X5)) => (X1 = X2)) & (X1 @ X0) & ! [X6 : a] : ((X1 @ X6) => ! [X7 : a] : ((X1 @ X7) <=> (cQ @ X6 @ X7))) & ? [X8 : a] : (X1 @ X8)) & ! [X9 : (a > $o)] : ((! [X10 : a] : ((X9 @ X10) => ! [X11 : a] : ((X9 @ X11) <=> (cQ @ X10 @ X11))) & ? [X12 : a] : (X9 @ X12)) => ? [X13 : a] : (X9 @ X13))) => (! [X14 : a,X15 : a,X16 : a] : (((cQ @ X15 @ X16) & (cQ @ X14 @ X15)) => (cQ @ X14 @ X16)) & ! [X17 : a,X18 : a] : ((cQ @ X17 @ X18) => (cQ @ X18 @ X17)) & ! [X19 : a] : (cQ @ X19 @ X19)))),
% 8.77/1.69 inference(rectify,[],[f2])).
% 8.77/1.69 thf(f4,plain,(
% 8.77/1.69 ~((! [X0 : a] : ? [X1 : (a > $o)] : (! [X2 : (a > $o)] : (((((X2 @ X0)) = $true) & ! [X3 : a] : ((((X2 @ X3)) = $true) => ! [X4 : a] : (((X2 @ X4)) = ((cQ @ X3 @ X4)))) & ? [X5 : a] : (((X2 @ X5)) = $true)) => (X1 = X2)) & (((X1 @ X0)) = $true) & ! [X6 : a] : ((((X1 @ X6)) = $true) => ! [X7 : a] : (((X1 @ X7)) = ((cQ @ X6 @ X7)))) & ? [X8 : a] : (((X1 @ X8)) = $true)) & ! [X9 : (a > $o)] : ((! [X10 : a] : ((((X9 @ X10)) = $true) => ! [X11 : a] : (((X9 @ X11)) = ((cQ @ X10 @ X11)))) & ? [X12 : a] : (((X9 @ X12)) = $true)) => ? [X13 : a] : (((X9 @ X13)) = $true))) => (! [X14 : a,X15 : a,X16 : a] : (((((cQ @ X15 @ X16)) = $true) & (((cQ @ X14 @ X15)) = $true)) => (((cQ @ X14 @ X16)) = $true)) & ! [X17 : a,X18 : a] : ((((cQ @ X17 @ X18)) = $true) => (((cQ @ X18 @ X17)) = $true)) & ! [X19 : a] : (((cQ @ X19 @ X19)) = $true)))),
% 8.77/1.69 inference(fool_elimination,[],[f3])).
% 8.77/1.69 thf(f5,plain,(
% 8.77/1.69 (? [X14 : a,X15 : a,X16 : a] : ((((cQ @ X14 @ X16)) != $true) & ((((cQ @ X15 @ X16)) = $true) & (((cQ @ X14 @ X15)) = $true))) | ? [X17 : a,X18 : a] : ((((cQ @ X18 @ X17)) != $true) & (((cQ @ X17 @ X18)) = $true)) | ? [X19 : a] : (((cQ @ X19 @ X19)) != $true)) & (! [X0 : a] : ? [X1 : (a > $o)] : (! [X2 : (a > $o)] : ((X1 = X2) | ((((X2 @ X0)) != $true) | ? [X3 : a] : (? [X4 : a] : (((X2 @ X4)) != ((cQ @ X3 @ X4))) & (((X2 @ X3)) = $true)) | ! [X5 : a] : (((X2 @ X5)) != $true))) & (((X1 @ X0)) = $true) & ! [X6 : a] : (! [X7 : a] : (((X1 @ X7)) = ((cQ @ X6 @ X7))) | (((X1 @ X6)) != $true)) & ? [X8 : a] : (((X1 @ X8)) = $true)) & ! [X9 : (a > $o)] : (? [X13 : a] : (((X9 @ X13)) = $true) | (? [X10 : a] : (? [X11 : a] : (((X9 @ X11)) != ((cQ @ X10 @ X11))) & (((X9 @ X10)) = $true)) | ! [X12 : a] : (((X9 @ X12)) != $true))))),
% 8.77/1.69 inference(ennf_transformation,[],[f4])).
% 8.77/1.69 thf(f6,plain,(
% 8.77/1.69 (? [X14 : a,X15 : a,X16 : a] : ((((cQ @ X14 @ X16)) != $true) & (((cQ @ X15 @ X16)) = $true) & (((cQ @ X14 @ X15)) = $true)) | ? [X17 : a,X18 : a] : ((((cQ @ X18 @ X17)) != $true) & (((cQ @ X17 @ X18)) = $true)) | ? [X19 : a] : (((cQ @ X19 @ X19)) != $true)) & ! [X0 : a] : ? [X1 : (a > $o)] : (! [X2 : (a > $o)] : ((X1 = X2) | (((X2 @ X0)) != $true) | ? [X3 : a] : (? [X4 : a] : (((X2 @ X4)) != ((cQ @ X3 @ X4))) & (((X2 @ X3)) = $true)) | ! [X5 : a] : (((X2 @ X5)) != $true)) & (((X1 @ X0)) = $true) & ! [X6 : a] : (! [X7 : a] : (((X1 @ X7)) = ((cQ @ X6 @ X7))) | (((X1 @ X6)) != $true)) & ? [X8 : a] : (((X1 @ X8)) = $true)) & ! [X9 : (a > $o)] : (? [X13 : a] : (((X9 @ X13)) = $true) | ? [X10 : a] : (? [X11 : a] : (((X9 @ X11)) != ((cQ @ X10 @ X11))) & (((X9 @ X10)) = $true)) | ! [X12 : a] : (((X9 @ X12)) != $true))),
% 8.77/1.69 inference(flattening,[],[f5])).
% 8.77/1.69 thf(f7,plain,(
% 8.77/1.69 (? [X0 : a,X1 : a,X2 : a] : (($true != ((cQ @ X0 @ X2))) & ($true = ((cQ @ X1 @ X2))) & ($true = ((cQ @ X0 @ X1)))) | ? [X3 : a,X4 : a] : ((((cQ @ X4 @ X3)) != $true) & (((cQ @ X3 @ X4)) = $true)) | ? [X5 : a] : ($true != ((cQ @ X5 @ X5)))) & ! [X6 : a] : ? [X7 : (a > $o)] : (! [X8 : (a > $o)] : ((X7 = X8) | ($true != ((X8 @ X6))) | ? [X9 : a] : (? [X10 : a] : (((X8 @ X10)) != ((cQ @ X9 @ X10))) & ($true = ((X8 @ X9)))) | ! [X11 : a] : ($true != ((X8 @ X11)))) & ($true = ((X7 @ X6))) & ! [X12 : a] : (! [X13 : a] : (((X7 @ X13)) = ((cQ @ X12 @ X13))) | ($true != ((X7 @ X12)))) & ? [X14 : a] : ($true = ((X7 @ X14)))) & ! [X15 : (a > $o)] : (? [X16 : a] : ($true = ((X15 @ X16))) | ? [X17 : a] : (? [X18 : a] : (((cQ @ X17 @ X18)) != ((X15 @ X18))) & ($true = ((X15 @ X17)))) | ! [X19 : a] : ($true != ((X15 @ X19))))),
% 8.77/1.69 inference(rectify,[],[f6])).
% 8.77/1.69 thf(f8,plain,(
% 8.77/1.69 ((($true != ((cQ @ sK0 @ sK2))) & ($true = ((cQ @ sK1 @ sK2))) & ($true = ((cQ @ sK0 @ sK1)))) | (($true != ((cQ @ sK4 @ sK3))) & ($true = ((cQ @ sK3 @ sK4)))) | ($true != ((cQ @ sK5 @ sK5)))) & ! [X6 : a] : (! [X8 : (a > $o)] : ((((sK6 @ X6)) = X8) | ($true != ((X8 @ X6))) | ((((X8 @ (sK8 @ X8))) != ((cQ @ (sK7 @ X8) @ (sK8 @ X8)))) & ($true = ((X8 @ (sK7 @ X8))))) | ! [X11 : a] : ($true != ((X8 @ X11)))) & ($true = ((sK6 @ X6 @ X6))) & ! [X12 : a] : (! [X13 : a] : (((cQ @ X12 @ X13)) = ((sK6 @ X6 @ X13))) | ($true != ((sK6 @ X6 @ X12)))) & ($true = ((sK6 @ X6 @ (sK9 @ X6))))) & ! [X15 : (a > $o)] : (($true = ((X15 @ (sK10 @ X15)))) | ((((cQ @ (sK11 @ X15) @ (sK12 @ X15))) != ((X15 @ (sK12 @ X15)))) & ($true = ((X15 @ (sK11 @ X15))))) | ! [X19 : a] : ($true != ((X15 @ X19))))),
% 8.77/1.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,vAPP,vAPP,vAPP,vAPP,vAPP,vAPP,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X18,sK12 @ X15),skolemize(X18,sK12 @ X15),skolemize(X18,sK12 @ X15),skolemize(X18,sK12 @ X15),skolemize(X18,sK12 @ X15),skolemize(X18,sK12 @ X15),skolemize(X18,sK12 @ X15)],[f7])).
% 8.77/1.69 thf(f12,plain,(
% 8.77/1.69 ( ! [X6 : a,X12 : a,X13 : a] : ((((cQ @ X12 @ X13)) = ((sK6 @ X6 @ X13))) | ($true != ((sK6 @ X6 @ X12)))) )),
% 8.77/1.69 inference(cnf_transformation,[],[f8])).
% 8.77/1.69 thf(f13,plain,(
% 8.77/1.69 ( ! [X6 : a] : (($true = ((sK6 @ X6 @ X6)))) )),
% 8.77/1.69 inference(cnf_transformation,[],[f8])).
% 8.77/1.69 thf(f16,plain,(
% 8.77/1.69 ($true = ((cQ @ sK0 @ sK1))) | ($true = ((cQ @ sK3 @ sK4))) | ($true != ((cQ @ sK5 @ sK5)))),
% 8.77/1.69 inference(cnf_transformation,[],[f8])).
% 8.77/1.69 thf(f17,plain,(
% 8.77/1.69 ($true = ((cQ @ sK0 @ sK1))) | ($true != ((cQ @ sK4 @ sK3))) | ($true != ((cQ @ sK5 @ sK5)))),
% 8.77/1.69 inference(cnf_transformation,[],[f8])).
% 8.77/1.69 thf(f18,plain,(
% 8.77/1.69 ($true = ((cQ @ sK1 @ sK2))) | ($true = ((cQ @ sK3 @ sK4))) | ($true != ((cQ @ sK5 @ sK5)))),
% 8.77/1.69 inference(cnf_transformation,[],[f8])).
% 8.77/1.69 thf(f19,plain,(
% 8.77/1.69 ($true = ((cQ @ sK1 @ sK2))) | ($true != ((cQ @ sK4 @ sK3))) | ($true != ((cQ @ sK5 @ sK5)))),
% 8.77/1.69 inference(cnf_transformation,[],[f8])).
% 8.77/1.69 thf(f20,plain,(
% 8.77/1.69 ($true != ((cQ @ sK0 @ sK2))) | ($true = ((cQ @ sK3 @ sK4))) | ($true != ((cQ @ sK5 @ sK5)))),
% 8.77/1.69 inference(cnf_transformation,[],[f8])).
% 8.77/1.69 thf(f21,plain,(
% 8.77/1.69 ($true != ((cQ @ sK0 @ sK2))) | ($true != ((cQ @ sK4 @ sK3))) | ($true != ((cQ @ sK5 @ sK5)))),
% 8.77/1.69 inference(cnf_transformation,[],[f8])).
% 8.77/1.69 thf(f23,definition,(
% 8.77/1.69 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 8.77/1.69 introduced(theory,[fool_exhaustiveness_axiom])).
% 8.77/1.69 thf(f26,plain,(
% 8.77/1.69 ( ! [X6 : a,X12 : a,X13 : a] : (($true != ((sK6 @ X6 @ X12))) | ($true = ((cQ @ X12 @ X13))) | (((sK6 @ X6 @ X13)) = $false)) )),
% 8.77/1.69 inference(iff_proxy_clausification,[],[f12])).
% 8.77/1.69 thf(f27,plain,(
% 8.77/1.69 ( ! [X6 : a,X12 : a,X13 : a] : (($true != ((sK6 @ X6 @ X12))) | (((cQ @ X12 @ X13)) = $false) | ($true = ((sK6 @ X6 @ X13)))) )),
% 8.77/1.69 inference(iff_proxy_clausification,[],[f12])).
% 8.77/1.69 thf(f31,definition,(
% 8.77/1.69 spl13_1 <=> ($true = ((cQ @ sK5 @ sK5)))),
% 8.77/1.69 introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition])).
% 8.77/1.69 thf(f32,plain,(
% 8.77/1.69 ($true != ((cQ @ sK5 @ sK5))) | spl13_1),
% 8.77/1.69 inference(avatar_component_clause,[],[f31])).
% 8.77/1.69 thf(f34,definition,(
% 8.77/1.69 spl13_2 <=> ($true = ((cQ @ sK3 @ sK4)))),
% 8.77/1.69 introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition])).
% 8.77/1.69 thf(f35,plain,(
% 8.77/1.69 ($true = ((cQ @ sK3 @ sK4))) | ~spl13_2),
% 8.77/1.69 inference(avatar_component_clause,[],[f34])).
% 8.77/1.69 thf(f37,definition,(
% 8.77/1.69 spl13_3 <=> ($true = ((cQ @ sK0 @ sK1)))),
% 8.77/1.69 introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition])).
% 8.77/1.69 thf(f38,plain,(
% 8.77/1.69 ($true = ((cQ @ sK0 @ sK1))) | ~spl13_3),
% 8.77/1.69 inference(avatar_component_clause,[],[f37])).
% 8.77/1.69 thf(f39,plain,(
% 8.77/1.69 ~spl13_1 | spl13_2 | spl13_3),
% 8.77/1.69 inference(avatar_split_clause,[],[f16,f37,f34,f31])).
% 8.77/1.69 thf(f41,definition,(
% 8.77/1.69 spl13_4 <=> ($true = ((cQ @ sK4 @ sK3)))),
% 8.77/1.69 introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition])).
% 8.77/1.69 thf(f42,plain,(
% 8.77/1.69 ($true != ((cQ @ sK4 @ sK3))) | spl13_4),
% 8.77/1.69 inference(avatar_component_clause,[],[f41])).
% 8.77/1.69 thf(f43,plain,(
% 8.77/1.69 ~spl13_1 | ~spl13_4 | spl13_3),
% 8.77/1.69 inference(avatar_split_clause,[],[f17,f37,f41,f31])).
% 8.77/1.69 thf(f45,definition,(
% 8.77/1.69 spl13_5 <=> ($true = ((cQ @ sK1 @ sK2)))),
% 8.77/1.69 introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition])).
% 8.77/1.69 thf(f46,plain,(
% 8.77/1.69 ($true = ((cQ @ sK1 @ sK2))) | ~spl13_5),
% 8.77/1.69 inference(avatar_component_clause,[],[f45])).
% 8.77/1.69 thf(f47,plain,(
% 8.77/1.69 ~spl13_1 | spl13_2 | spl13_5),
% 8.77/1.69 inference(avatar_split_clause,[],[f18,f45,f34,f31])).
% 8.77/1.69 thf(f48,plain,(
% 8.77/1.69 ~spl13_1 | ~spl13_4 | spl13_5),
% 8.77/1.69 inference(avatar_split_clause,[],[f19,f45,f41,f31])).
% 8.77/1.69 thf(f50,definition,(
% 8.77/1.69 spl13_6 <=> ($true = ((cQ @ sK0 @ sK2)))),
% 8.77/1.69 introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition])).
% 8.77/1.69 thf(f51,plain,(
% 8.77/1.69 ($true != ((cQ @ sK0 @ sK2))) | spl13_6),
% 8.77/1.69 inference(avatar_component_clause,[],[f50])).
% 8.77/1.69 thf(f52,plain,(
% 8.77/1.69 ~spl13_1 | spl13_2 | ~spl13_6),
% 8.77/1.69 inference(avatar_split_clause,[],[f20,f50,f34,f31])).
% 8.77/1.69 thf(f53,plain,(
% 8.77/1.69 ~spl13_1 | ~spl13_4 | ~spl13_6),
% 8.77/1.69 inference(avatar_split_clause,[],[f21,f50,f41,f31])).
% 8.77/1.69 thf(f109,plain,(
% 8.77/1.69 ($true != $true) | (((cQ @ sK5 @ sK5)) = $false) | spl13_1),
% 8.77/1.69 inference(constrained_superposition,[],[f32,f23])).
% 8.77/1.69 thf(f111,plain,(
% 8.77/1.69 (((cQ @ sK5 @ sK5)) = $false) | spl13_1),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f109])).
% 8.77/1.69 thf(f449,plain,(
% 8.77/1.69 ( ! [X0 : a,X1 : a] : (($true != $true) | ($true = ((cQ @ X0 @ X1))) | ($false = ((sK6 @ X0 @ X1)))) )),
% 8.77/1.69 inference(constrained_superposition,[],[f26,f13])).
% 8.77/1.69 thf(f464,plain,(
% 8.77/1.69 ( ! [X0 : a,X1 : a] : (($true = ((cQ @ X0 @ X1))) | ($false = ((sK6 @ X0 @ X1)))) )),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f449])).
% 8.77/1.69 thf(f469,plain,(
% 8.77/1.69 ( ! [X0 : a,X1 : a] : (($true != $true) | (((cQ @ X0 @ X1)) = $false) | ($true = ((sK6 @ X0 @ X1)))) )),
% 8.77/1.69 inference(constrained_superposition,[],[f27,f13])).
% 8.77/1.69 thf(f475,plain,(
% 8.77/1.69 ( ! [X2 : a,X0 : a,X1 : a] : (($true != $true) | (((cQ @ X1 @ X2)) = $false) | ($true = ((sK6 @ X0 @ X2))) | ($false = ((sK6 @ X0 @ X1)))) )),
% 8.77/1.69 inference(constrained_superposition,[],[f27,f23])).
% 8.77/1.69 thf(f476,plain,(
% 8.77/1.69 ( ! [X2 : a,X0 : a,X1 : a] : ((((cQ @ X1 @ X2)) = $false) | ($true = ((sK6 @ X0 @ X2))) | ($false = ((sK6 @ X0 @ X1)))) )),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f475])).
% 8.77/1.69 thf(f484,plain,(
% 8.77/1.69 ( ! [X0 : a,X1 : a] : ((((cQ @ X0 @ X1)) = $false) | ($true = ((sK6 @ X0 @ X1)))) )),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f469])).
% 8.77/1.69 thf(f786,plain,(
% 8.77/1.69 ($true = $false) | ($false = ((sK6 @ sK5 @ sK5))) | spl13_1),
% 8.77/1.69 inference(constrained_superposition,[],[f464,f111])).
% 8.77/1.69 thf(f822,plain,(
% 8.77/1.69 ($false = ((sK6 @ sK5 @ sK5))) | spl13_1),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f786])).
% 8.77/1.69 thf(f829,plain,(
% 8.77/1.69 ($true = $false) | spl13_1),
% 8.77/1.69 inference(forward_demodulation,[],[f822,f13])).
% 8.77/1.69 thf(f830,plain,(
% 8.77/1.69 $false | spl13_1),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f829])).
% 8.77/1.69 thf(f831,plain,(
% 8.77/1.69 spl13_1),
% 8.77/1.69 inference(avatar_contradiction_clause,[],[f830])).
% 8.77/1.69 thf(f894,plain,(
% 8.77/1.69 ($true != $true) | (((cQ @ sK4 @ sK3)) = $false) | spl13_4),
% 8.77/1.69 inference(constrained_superposition,[],[f42,f23])).
% 8.77/1.69 thf(f895,plain,(
% 8.77/1.69 (((cQ @ sK4 @ sK3)) = $false) | spl13_4),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f894])).
% 8.77/1.69 thf(f1531,plain,(
% 8.77/1.69 ($true = $false) | ($true = ((sK6 @ sK3 @ sK4))) | ~spl13_2),
% 8.77/1.69 inference(constrained_superposition,[],[f35,f484])).
% 8.77/1.69 thf(f1533,plain,(
% 8.77/1.69 ($true = ((sK6 @ sK3 @ sK4))) | ~spl13_2),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f1531])).
% 8.77/1.69 thf(f1704,plain,(
% 8.77/1.69 ( ! [X0 : a] : (($true != $true) | ($true = ((cQ @ sK4 @ X0))) | ($false = ((sK6 @ sK3 @ X0)))) ) | ~spl13_2),
% 8.77/1.69 inference(constrained_superposition,[],[f26,f1533])).
% 8.77/1.69 thf(f1705,plain,(
% 8.77/1.69 ( ! [X0 : a] : (($true = ((cQ @ sK4 @ X0))) | ($false = ((sK6 @ sK3 @ X0)))) ) | ~spl13_2),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f1704])).
% 8.77/1.69 thf(f2832,plain,(
% 8.77/1.69 ($true = $false) | ($false = ((sK6 @ sK3 @ sK3))) | (~spl13_2 | spl13_4)),
% 8.77/1.69 inference(constrained_superposition,[],[f1705,f895])).
% 8.77/1.69 thf(f2921,plain,(
% 8.77/1.69 ($false = ((sK6 @ sK3 @ sK3))) | (~spl13_2 | spl13_4)),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f2832])).
% 8.77/1.69 thf(f2930,plain,(
% 8.77/1.69 ($true = $false) | (~spl13_2 | spl13_4)),
% 8.77/1.69 inference(forward_demodulation,[],[f2921,f13])).
% 8.77/1.69 thf(f2931,plain,(
% 8.77/1.69 $false | (~spl13_2 | spl13_4)),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f2930])).
% 8.77/1.69 thf(f2932,plain,(
% 8.77/1.69 ~spl13_2 | spl13_4),
% 8.77/1.69 inference(avatar_contradiction_clause,[],[f2931])).
% 8.77/1.69 thf(f2961,plain,(
% 8.77/1.69 ($true = $false) | ($true = ((sK6 @ sK0 @ sK1))) | ~spl13_3),
% 8.77/1.69 inference(constrained_superposition,[],[f484,f38])).
% 8.77/1.69 thf(f2965,plain,(
% 8.77/1.69 ($true = ((sK6 @ sK0 @ sK1))) | ~spl13_3),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f2961])).
% 8.77/1.69 thf(f3112,plain,(
% 8.77/1.69 ($true != $true) | ($false = ((sK6 @ sK0 @ sK2))) | spl13_6),
% 8.77/1.69 inference(constrained_superposition,[],[f51,f464])).
% 8.77/1.69 thf(f3149,plain,(
% 8.77/1.69 ($false = ((sK6 @ sK0 @ sK2))) | spl13_6),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f3112])).
% 8.77/1.69 thf(f7362,plain,(
% 8.77/1.69 ( ! [X0 : a] : (($true = $false) | ($true = ((sK6 @ X0 @ sK2))) | ($false = ((sK6 @ X0 @ sK1)))) ) | ~spl13_5),
% 8.77/1.69 inference(constrained_superposition,[],[f46,f476])).
% 8.77/1.69 thf(f7472,plain,(
% 8.77/1.69 ( ! [X0 : a] : (($true = ((sK6 @ X0 @ sK2))) | ($false = ((sK6 @ X0 @ sK1)))) ) | ~spl13_5),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f7362])).
% 8.77/1.69 thf(f10665,plain,(
% 8.77/1.69 ($true = $false) | ($false = ((sK6 @ sK0 @ sK1))) | (~spl13_5 | spl13_6)),
% 8.77/1.69 inference(constrained_superposition,[],[f3149,f7472])).
% 8.77/1.69 thf(f10666,plain,(
% 8.77/1.69 ($false = ((sK6 @ sK0 @ sK1))) | (~spl13_5 | spl13_6)),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f10665])).
% 8.77/1.69 thf(f10945,plain,(
% 8.77/1.69 ($true = $false) | (~spl13_3 | ~spl13_5 | spl13_6)),
% 8.77/1.69 inference(constrained_superposition,[],[f10666,f2965])).
% 8.77/1.69 thf(f11064,plain,(
% 8.77/1.69 $false | (~spl13_3 | ~spl13_5 | spl13_6)),
% 8.77/1.69 inference(trivial_inequality_removal,[],[f10945])).
% 8.77/1.69 thf(f11065,plain,(
% 8.77/1.69 ~spl13_3 | ~spl13_5 | spl13_6),
% 8.77/1.69 inference(avatar_contradiction_clause,[],[f11064])).
% 8.77/1.69 cnf(s1, plain, ~spl13_1 | spl13_2 | spl13_3, inference(sat_conversion,[],[f39])).
% 8.77/1.69 cnf(s2, plain, ~spl13_1 | spl13_3 | ~spl13_4, inference(sat_conversion,[],[f43])).
% 8.77/1.69 cnf(s3, plain, ~spl13_1 | spl13_2 | spl13_5, inference(sat_conversion,[],[f47])).
% 8.77/1.69 cnf(s4, plain, ~spl13_1 | ~spl13_4 | spl13_5, inference(sat_conversion,[],[f48])).
% 8.77/1.69 cnf(s5, plain, ~spl13_1 | spl13_2 | ~spl13_6, inference(sat_conversion,[],[f52])).
% 8.77/1.69 cnf(s6, plain, ~spl13_1 | ~spl13_4 | ~spl13_6, inference(sat_conversion,[],[f53])).
% 8.77/1.69 cnf(s13, plain, spl13_1, inference(sat_conversion,[],[f831])).
% 8.77/1.69 cnf(s53, plain, ~spl13_2 | spl13_4, inference(sat_conversion,[],[f2932])).
% 8.77/1.69 cnf(s161, plain, ~spl13_3 | ~spl13_5 | spl13_6, inference(sat_conversion,[],[f11065])).
% 8.77/1.69 cnf(s184, plain, ~spl13_4 | ~spl13_6, inference(rat,[],[s6,s13])).
% 8.77/1.69 cnf(s185, plain, spl13_2 | ~spl13_6, inference(rat,[],[s5,s13])).
% 8.77/1.69 cnf(s186, plain, ~spl13_4 | spl13_5, inference(rat,[],[s4,s13])).
% 8.77/1.69 cnf(s187, plain, spl13_2 | spl13_5, inference(rat,[],[s3,s13])).
% 8.77/1.69 cnf(s188, plain, spl13_3 | ~spl13_4, inference(rat,[],[s2,s13])).
% 8.77/1.69 cnf(s189, plain, spl13_2 | spl13_3, inference(rat,[],[s1,s13])).
% 8.77/1.69 cnf(s190, plain, spl13_2, inference(rat,[],[s161,s189,s187,s185])).
% 8.77/1.69 cnf(s192, plain, spl13_4, inference(rat,[],[s53,s190])).
% 8.77/1.69 cnf(s193, plain, ~spl13_6, inference(rat,[],[s184,s192])).
% 8.77/1.69 cnf(s194, plain, spl13_5, inference(rat,[],[s186,s192])).
% 8.77/1.69 cnf(s195, plain, spl13_3, inference(rat,[],[s188,s192])).
% 8.77/1.69 cnf(s196, plain, $false, inference(rat,[],[s161,s193,s194,s195])).
% 8.77/1.69 thf(f11069,plain,(
% 8.77/1.69 $false),
% 8.77/1.69 inference(avatar_sat_refutation,[],[s196])).
% 8.77/1.69 % SZS output end Proof for theBenchmark
% 8.77/1.69 % (192311)------------------------------
% 8.77/1.69 % (192311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.69 % (192311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.69 % (192311)CaDiCaL version: 2.1.3
% 8.77/1.69 % (192311)Termination reason: Refutation
% 8.77/1.69 % (192311)Time elapsed: 0.675 s
% 8.77/1.69 % (192311)Peak memory usage: 17 MB
% 8.77/1.69 % (192311)Instructions burned: 1479 (million)
% 8.77/1.69 % (192059)Success in time 1.433 s
% 8.77/1.69 % Vampire exiting
%------------------------------------------------------------------------------