%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV031^5 : 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 : n013.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 34.79s 5.21s
% Output : Refutation 34.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV031^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n013.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 15:02:27 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 3.80/0.91 % (2224789)Will run a generic schedule for satisfiability detection.
% 3.80/0.91 % (2224797)dis+10_1_sil=32000:sp=arity:random_seed=963270146:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.80/0.91 % (2224795)% WARNING: option uhcvi not known.
% 3.80/0.91 % (2224794)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3201264358_2999 on theBenchmark for (2999ds/0Mi)
% 3.80/0.91 % (2224795)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2970804963:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.80/0.91 % (2224796)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4253925726:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.80/0.91 % (2224798)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2614730254:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.80/0.91 % (2224799)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2311175259:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.80/0.91 % (2224800)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2431800429:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.80/0.91 % (2224795)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.80/0.91 % (2224798)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.80/0.91 % Exception at run slice level
% 3.80/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.80/0.91 % (2224795)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.80/0.91 % (2224797)Instruction limit reached!
% 3.80/0.91 % (2224797)------------------------------
% 3.80/0.91 % (2224797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/0.91 % (2224797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/0.91 % (2224797)CaDiCaL version: 2.1.3
% 3.80/0.91 % (2224797)Termination reason: Instruction limit
% 3.80/0.91 % (2224797)Termination phase: Saturation
% 3.80/0.91 % (2224797)Time elapsed: 0.028 s
% 3.80/0.91 % (2224797)Peak memory usage: 12 MB
% 3.80/0.91 % (2224797)Instructions burned: 107 (million)
% 3.80/0.91 % (2224808)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3438130643:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.80/0.91 % Exception at run slice level
% 3.80/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.80/0.91 % (2224809)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2537670702:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.80/0.91 % (2224811)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=4226936092:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.80/0.91 % (2224811)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.80/0.91 % (2224811)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.80/0.91 % (2224798)Instruction limit reached!
% 3.80/0.91 % (2224798)------------------------------
% 3.80/0.91 % (2224798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/0.91 % (2224798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/0.91 % (2224798)CaDiCaL version: 2.1.3
% 3.80/0.91 % (2224798)Termination reason: Instruction limit
% 3.80/0.91 % (2224798)Termination phase: Saturation
% 3.80/0.91 % (2224798)Time elapsed: 0.053 s
% 3.80/0.91 % (2224798)Peak memory usage: 12 MB
% 3.80/0.91 % (2224798)Instructions burned: 117 (million)
% 3.80/0.91 % (2224799)Instruction limit reached!
% 3.80/0.91 % (2224799)------------------------------
% 3.80/0.91 % (2224799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/0.91 % (2224799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/0.91 % (2224799)CaDiCaL version: 2.1.3
% 3.80/0.91 % (2224799)Termination reason: Instruction limit
% 3.80/0.91 % (2224799)Termination phase: Saturation
% 3.80/0.91 % (2224799)Time elapsed: 0.064 s
% 3.80/0.91 % (2224799)Peak memory usage: 13 MB
% 3.80/0.91 % (2224799)Instructions burned: 132 (million)
% 3.80/0.91 % (2224809)Instruction limit reached!
% 3.80/0.91 % (2224809)------------------------------
% 3.80/0.91 % (2224809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.10/2.46 % (2224809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.10/2.46 % (2224809)CaDiCaL version: 2.1.3
% 15.10/2.46 % (2224809)Termination reason: Instruction limit
% 15.10/2.46 % (2224809)Termination phase: Saturation
% 15.10/2.46 % (2224809)Time elapsed: 0.036 s
% 15.10/2.46 % (2224809)Peak memory usage: 12 MB
% 15.10/2.46 % (2224809)Instructions burned: 133 (million)
% 15.10/2.46 % (2224800)Instruction limit reached!
% 15.10/2.46 % (2224800)------------------------------
% 15.10/2.46 % (2224800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.10/2.46 % (2224800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.10/2.46 % (2224800)CaDiCaL version: 2.1.3
% 15.10/2.46 % (2224800)Termination reason: Instruction limit
% 15.10/2.46 % (2224800)Termination phase: Saturation
% 15.10/2.46 % (2224800)Time elapsed: 0.069 s
% 15.10/2.46 % (2224800)Peak memory usage: 12 MB
% 15.10/2.46 % (2224800)Instructions burned: 161 (million)
% 15.10/2.46 % (2224814)ott-21_1_sil=16000:fs=off:random_seed=4067512057:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 15.10/2.46 % (2224816)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=40882000:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 15.10/2.46 % Exception at run slice level
% 15.10/2.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.10/2.46 % (2224815)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1640454363:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 15.10/2.46 % (2224817)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=832624043:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 15.10/2.46 % (2224820)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1277434963:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 15.10/2.46 % Exception at run slice level
% 15.10/2.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.10/2.46 % (2224824)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=1056312074: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)
% 15.10/2.46 % (2224824)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.10/2.46 % (2224814)Instruction limit reached!
% 15.10/2.46 % (2224814)------------------------------
% 15.10/2.46 % (2224814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.10/2.46 % (2224814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.10/2.46 % (2224814)CaDiCaL version: 2.1.3
% 15.10/2.46 % (2224814)Termination reason: Instruction limit
% 15.10/2.46 % (2224814)Termination phase: Saturation
% 15.10/2.46 % (2224814)Time elapsed: 0.082 s
% 15.10/2.46 % (2224814)Peak memory usage: 12 MB
% 15.10/2.46 % (2224814)Instructions burned: 182 (million)
% 15.10/2.46 % (2224826)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=202118621:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 15.10/2.46 % (2224826)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.10/2.46 % (2224824)Instruction limit reached!
% 15.10/2.46 % (2224824)------------------------------
% 15.10/2.46 % (2224824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.10/2.46 % (2224824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.10/2.46 % (2224824)CaDiCaL version: 2.1.3
% 15.10/2.46 % (2224824)Termination reason: Instruction limit
% 15.10/2.46 % (2224824)Termination phase: Saturation
% 15.10/2.46 % (2224824)Time elapsed: 0.178 s
% 15.10/2.46 % (2224824)Peak memory usage: 18 MB
% 15.10/2.46 % (2224824)Instructions burned: 692 (million)
% 15.10/2.46 % (2224828)fmb+10_1_sil=64000:random_seed=2055115416:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 15.10/2.46 % (2224828)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.10/2.46 % Exception at run slice level
% 15.10/2.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.10/2.46 % (2224830)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2319792285:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 15.10/2.46 % Exception at run slice level
% 15.10/2.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.79/5.21 % (2224832)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1542810862:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 34.79/5.21 % Exception at run slice level
% 34.79/5.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.79/5.21 % (2224815)Instruction limit reached!
% 34.79/5.21 % (2224815)------------------------------
% 34.79/5.21 % (2224815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224815)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224815)Termination reason: Instruction limit
% 34.79/5.21 % (2224815)Termination phase: Saturation
% 34.79/5.21 % (2224815)Time elapsed: 0.234 s
% 34.79/5.21 % (2224815)Peak memory usage: 14 MB
% 34.79/5.21 % (2224815)Instructions burned: 478 (million)
% 34.79/5.21 % (2224834)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=679476586:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 34.79/5.21 % (2224834)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 34.79/5.21 % (2224835)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2350472818:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 34.79/5.21 % (2224835)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 34.79/5.21 % (2224835)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 34.79/5.21 % (2224811)Instruction limit reached!
% 34.79/5.21 % (2224811)------------------------------
% 34.79/5.21 % (2224811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224811)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224811)Termination reason: Instruction limit
% 34.79/5.21 % (2224811)Termination phase: Saturation
% 34.79/5.21 % (2224811)Time elapsed: 0.315 s
% 34.79/5.21 % (2224811)Peak memory usage: 14 MB
% 34.79/5.21 % (2224811)Instructions burned: 685 (million)
% 34.79/5.21 % (2224838)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1418116785:i=6324_2996 on theBenchmark for (2996ds/6324Mi)
% 34.79/5.21 % Exception at run slice level
% 34.79/5.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.79/5.21 % (2224840)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1478403138:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 34.79/5.21 % Exception at run slice level
% 34.79/5.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.79/5.21 % (2224842)ott-2_1_sil=16000:newcnf=on:random_seed=3056798563:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 34.79/5.21 % (2224842)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 34.79/5.21 % (2224826)Instruction limit reached!
% 34.79/5.21 % (2224826)------------------------------
% 34.79/5.21 % (2224826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224826)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224826)Termination reason: Instruction limit
% 34.79/5.21 % (2224826)Termination phase: Saturation
% 34.79/5.21 % (2224826)Time elapsed: 0.397 s
% 34.79/5.21 % (2224826)Peak memory usage: 15 MB
% 34.79/5.21 % (2224826)Instructions burned: 879 (million)
% 34.79/5.21 % (2224844)ott+10_1_sil=32000:tgt=ground:random_seed=245773993:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 34.79/5.21 % (2224817)Instruction limit reached!
% 34.79/5.21 % (2224817)------------------------------
% 34.79/5.21 % (2224817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224817)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224817)Termination reason: Instruction limit
% 34.79/5.21 % (2224817)Termination phase: Saturation
% 34.79/5.21 % (2224817)Time elapsed: 0.526 s
% 34.79/5.21 % (2224817)Peak memory usage: 17 MB
% 34.79/5.21 % (2224817)Instructions burned: 1180 (million)
% 34.79/5.21 % (2224846)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2095462292:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 34.79/5.21 % Exception at run slice level
% 34.79/5.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.79/5.21 % (2224848)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1433542420:i=3512:aac=none_2993 on theBenchmark for (2993ds/3512Mi)
% 34.79/5.21 % (2224848)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 34.79/5.21 % (2224842)Instruction limit reached!
% 34.79/5.21 % (2224842)------------------------------
% 34.79/5.21 % (2224842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224842)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224842)Termination reason: Instruction limit
% 34.79/5.21 % (2224842)Termination phase: Saturation
% 34.79/5.21 % (2224842)Time elapsed: 0.438 s
% 34.79/5.21 % (2224842)Peak memory usage: 38 MB
% 34.79/5.21 % (2224842)Instructions burned: 870 (million)
% 34.79/5.21 % (2224850)dis+21_1_sil=32000:sas=cadical:random_seed=3574607392:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 34.79/5.21 % (2224835)Instruction limit reached!
% 34.79/5.21 % (2224835)------------------------------
% 34.79/5.21 % (2224835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224835)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224835)Termination reason: Instruction limit
% 34.79/5.21 % (2224835)Termination phase: Saturation
% 34.79/5.21 % (2224835)Time elapsed: 0.545 s
% 34.79/5.21 % (2224835)Peak memory usage: 13 MB
% 34.79/5.21 % (2224835)Instructions burned: 1474 (million)
% 34.79/5.21 % (2224852)ott+11_1_sil=16000:gs=on:random_seed=2750044043:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2990 on theBenchmark for (2990ds/2251Mi)
% 34.79/5.21 % (2224852)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 34.79/5.21 % (2224834)Instruction limit reached!
% 34.79/5.21 % (2224834)------------------------------
% 34.79/5.21 % (2224834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224834)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224834)Termination reason: Instruction limit
% 34.79/5.21 % (2224834)Termination phase: Saturation
% 34.79/5.21 % (2224834)Time elapsed: 1.196 s
% 34.79/5.21 % (2224834)Peak memory usage: 24 MB
% 34.79/5.21 % (2224834)Instructions burned: 5135 (million)
% 34.79/5.21 % (2224854)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=19367146:fmbsr=1.6:i=67534_2984 on theBenchmark for (2984ds/67534Mi)
% 34.79/5.21 % Exception at run slice level
% 34.79/5.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.79/5.21 % (2224856)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3821902684:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2984 on theBenchmark for (2984ds/4591Mi)
% 34.79/5.21 % (2224852)Instruction limit reached!
% 34.79/5.21 % (2224852)------------------------------
% 34.79/5.21 % (2224852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224852)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224852)Termination reason: Instruction limit
% 34.79/5.21 % (2224852)Termination phase: Saturation
% 34.79/5.21 % (2224852)Time elapsed: 1.022 s
% 34.79/5.21 % (2224852)Peak memory usage: 26 MB
% 34.79/5.21 % (2224852)Instructions burned: 2251 (million)
% 34.79/5.21 % (2224858)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4093303860:i=29340_2980 on theBenchmark for (2980ds/29340Mi)
% 34.79/5.21 % (2224848)Instruction limit reached!
% 34.79/5.21 % (2224848)------------------------------
% 34.79/5.21 % (2224848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224848)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224848)Termination reason: Instruction limit
% 34.79/5.21 % (2224848)Termination phase: Saturation
% 34.79/5.21 % (2224848)Time elapsed: 1.509 s
% 34.79/5.21 % (2224848)Peak memory usage: 19 MB
% 34.79/5.21 % (2224848)Instructions burned: 3513 (million)
% 34.79/5.21 % (2224860)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3647756803:i=5211_2977 on theBenchmark for (2977ds/5211Mi)
% 34.79/5.21 % (2224856)Instruction limit reached!
% 34.79/5.21 % (2224856)------------------------------
% 34.79/5.21 % (2224856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224856)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224856)Termination reason: Instruction limit
% 34.79/5.21 % (2224856)Termination phase: Saturation
% 34.79/5.21 % (2224856)Time elapsed: 0.909 s
% 34.79/5.21 % (2224856)Peak memory usage: 13 MB
% 34.79/5.21 % (2224856)Instructions burned: 4596 (million)
% 34.79/5.21 % (2224862)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3732713727:i=5497:nm=2_2975 on theBenchmark for (2975ds/5497Mi)
% 34.79/5.21 % Exception at run slice level
% 34.79/5.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.79/5.21 % (2224864)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1699964961:fmbsr=2:i=46332_2974 on theBenchmark for (2974ds/46332Mi)
% 34.79/5.21 % Exception at run slice level
% 34.79/5.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.79/5.21 % (2224866)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=42412060:i=14071_2974 on theBenchmark for (2974ds/14071Mi)
% 34.79/5.21 % Exception at run slice level
% 34.79/5.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.79/5.21 % (2224868)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2800013624:i=22565:add=on:rawr=on_2974 on theBenchmark for (2974ds/22565Mi)
% 34.79/5.21 % (2224850)Instruction limit reached!
% 34.79/5.21 % (2224850)------------------------------
% 34.79/5.21 % (2224850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224850)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224850)Termination reason: Instruction limit
% 34.79/5.21 % (2224850)Termination phase: Saturation
% 34.79/5.21 % (2224850)Time elapsed: 1.661 s
% 34.79/5.21 % (2224850)Peak memory usage: 21 MB
% 34.79/5.21 % (2224850)Instructions burned: 3775 (million)
% 34.79/5.21 % (2224870)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=657598327:i=8173:av=off_2974 on theBenchmark for (2974ds/8173Mi)
% 34.79/5.21 % (2224844)Instruction limit reached!
% 34.79/5.21 % (2224844)------------------------------
% 34.79/5.21 % (2224844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224844)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224844)Termination reason: Instruction limit
% 34.79/5.21 % (2224844)Termination phase: Saturation
% 34.79/5.21 % (2224844)Time elapsed: 2.272 s
% 34.79/5.21 % (2224844)Peak memory usage: 36 MB
% 34.79/5.21 % (2224844)Instructions burned: 5116 (million)
% 34.79/5.21 % (2224872)dis+10_16:1_sil=16000:random_seed=2016727876:i=9155:fsr=off_2970 on theBenchmark for (2970ds/9155Mi)
% 34.79/5.21 % (2224860)Instruction limit reached!
% 34.79/5.21 % (2224860)------------------------------
% 34.79/5.21 % (2224860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.21 % (2224860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.21 % (2224860)CaDiCaL version: 2.1.3
% 34.79/5.21 % (2224860)Termination reason: Instruction limit
% 34.79/5.21 % (2224860)Termination phase: Saturation
% 34.79/5.21 % (2224860)Time elapsed: 2.347 s
% 34.79/5.21 % (2224860)Peak memory usage: 28 MB
% 34.79/5.21 % (2224860)Instructions burned: 5211 (million)
% 34.79/5.21 % (2224874)ott-3_8_sil=64000:random_seed=2552822465:i=20139:bs=on_2954 on theBenchmark for (2954ds/20139Mi)
% 34.79/5.21 % (2224874) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2224789-2224874"...
% 34.79/5.21 % (2224874)...printing done.
% 34.79/5.21 % (2224874)Refutation found. Thanks to Tanya!
% 34.79/5.21 % SZS status Theorem for theBenchmark
% 34.79/5.21 % SZS output start Proof for theBenchmark
% 34.79/5.21 thf(type_def_5, type, a: $tType).
% 34.79/5.21 thf(type_def_6, type, b: $tType).
% 34.79/5.21 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 34.79/5.21 thf(func_def_3, type, sP0: ((a > $o) > (a > (a > b) > (a > b) > $o) > $o)).
% 34.79/5.21 thf(func_def_4, type, sK1: ((a > $o) > (a > (a > b) > (a > b) > $o) > a > b)).
% 34.79/5.21 thf(func_def_5, type, sK2: ((a > $o) > (a > (a > b) > (a > b) > $o) > a > b)).
% 34.79/5.21 thf(func_def_6, type, sK3: ((a > $o) > (a > (a > b) > (a > b) > $o) > a > b)).
% 34.79/5.21 thf(func_def_7, type, sK4: ((a > $o) > (a > (a > b) > (a > b) > $o) > a)).
% 34.79/5.21 thf(func_def_8, type, sK5: (a > $o)).
% 34.79/5.21 thf(func_def_9, type, sK6: (a > (a > b) > (a > b) > $o)).
% 34.79/5.21 thf(func_def_10, type, sK7: (a > b)).
% 34.79/5.21 thf(func_def_11, type, sK8: (a > b)).
% 34.79/5.21 thf(func_def_12, type, sK9: a).
% 34.79/5.21 thf(func_def_13, type, sK10: (a > b)).
% 34.79/5.21 thf(func_def_14, type, sK11: a).
% 34.79/5.21 thf(func_def_15, type, vNOT: ($o > $o)).
% 34.79/5.21 thf(func_def_17, type, db0: !>[X0: $tType]:(X0)).
% 34.79/5.21 thf(func_def_18, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 34.79/5.21 thf(func_def_19, type, db1: !>[X0: $tType]:(X0)).
% 34.79/5.21 thf(func_def_20, type, db2: !>[X0: $tType]:(X0)).
% 34.79/5.21 thf(func_def_21, type, db3: !>[X0: $tType]:(X0)).
% 34.79/5.21 thf(f1,conjecture,(
% 34.79/5.21 ! [X0 : (a > $o),X1 : (a > (a > b) > (a > b) > $o)] : (! [X2 : a] : ((X0 @ X2) => (! [X3 : (a > b),X4 : (a > b),X5 : (a > b)] : (((X1 @ X2 @ X4 @ X5) & (X1 @ X2 @ X3 @ X4)) => (X1 @ X2 @ X3 @ X5)) & ! [X3 : (a > b),X4 : (a > b)] : ((X1 @ X2 @ X3 @ X4) => (X1 @ X2 @ X4 @ X3)) & ! [X3 : (a > b)] : (X1 @ X2 @ X3 @ X3))) => (! [X2 : (a > b),X4 : (a > b),X5 : (a > b)] : ((! [X3 : a] : ((X0 @ X3) => (X1 @ X3 @ X4 @ X5)) & ! [X3 : a] : ((X0 @ X3) => (X1 @ X3 @ X2 @ X4))) => ! [X3 : a] : ((X0 @ X3) => (X1 @ X3 @ X2 @ X5))) & ! [X2 : (a > b),X4 : (a > b)] : (! [X3 : a] : ((X0 @ X3) => (X1 @ X3 @ X2 @ X4)) => ! [X3 : a] : ((X0 @ X3) => (X1 @ X3 @ X4 @ X2))) & ! [X2 : (a > b),X3 : a] : ((X0 @ X3) => (X1 @ X3 @ X2 @ X2))))),
% 34.79/5.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM512_pme)).
% 34.79/5.21 thf(f2,negated_conjecture,(
% 34.79/5.21 ~ ! [X0 : (a > $o),X1 : (a > (a > b) > (a > b) > $o)] : (! [X2 : a] : ((X0 @ X2) => (! [X3 : (a > b),X4 : (a > b),X5 : (a > b)] : (((X1 @ X2 @ X4 @ X5) & (X1 @ X2 @ X3 @ X4)) => (X1 @ X2 @ X3 @ X5)) & ! [X3 : (a > b),X4 : (a > b)] : ((X1 @ X2 @ X3 @ X4) => (X1 @ X2 @ X4 @ X3)) & ! [X3 : (a > b)] : (X1 @ X2 @ X3 @ X3))) => (! [X2 : (a > b),X4 : (a > b),X5 : (a > b)] : ((! [X3 : a] : ((X0 @ X3) => (X1 @ X3 @ X4 @ X5)) & ! [X3 : a] : ((X0 @ X3) => (X1 @ X3 @ X2 @ X4))) => ! [X3 : a] : ((X0 @ X3) => (X1 @ X3 @ X2 @ X5))) & ! [X2 : (a > b),X4 : (a > b)] : (! [X3 : a] : ((X0 @ X3) => (X1 @ X3 @ X2 @ X4)) => ! [X3 : a] : ((X0 @ X3) => (X1 @ X3 @ X4 @ X2))) & ! [X2 : (a > b),X3 : a] : ((X0 @ X3) => (X1 @ X3 @ X2 @ X2))))),
% 34.79/5.21 inference(negated_conjecture,[status(cth)],[f1])).
% 34.79/5.21 thf(f3,plain,(
% 34.79/5.21 ~ ! [X0 : (a > $o),X1 : (a > (a > b) > (a > b) > $o)] : (! [X2 : a] : ((X0 @ X2) => (! [X3 : (a > b),X4 : (a > b),X5 : (a > b)] : (((X1 @ X2 @ X4 @ X5) & (X1 @ X2 @ X3 @ X4)) => (X1 @ X2 @ X3 @ X5)) & ! [X6 : (a > b),X7 : (a > b)] : ((X1 @ X2 @ X6 @ X7) => (X1 @ X2 @ X7 @ X6)) & ! [X8 : (a > b)] : (X1 @ X2 @ X8 @ X8))) => (! [X9 : (a > b),X10 : (a > b),X11 : (a > b)] : ((! [X12 : a] : ((X0 @ X12) => (X1 @ X12 @ X10 @ X11)) & ! [X13 : a] : ((X0 @ X13) => (X1 @ X13 @ X9 @ X10))) => ! [X14 : a] : ((X0 @ X14) => (X1 @ X14 @ X9 @ X11))) & ! [X15 : (a > b),X16 : (a > b)] : (! [X17 : a] : ((X0 @ X17) => (X1 @ X17 @ X15 @ X16)) => ! [X18 : a] : ((X0 @ X18) => (X1 @ X18 @ X16 @ X15))) & ! [X19 : (a > b),X20 : a] : ((X0 @ X20) => (X1 @ X20 @ X19 @ X19))))),
% 34.79/5.21 inference(rectify,[],[f2])).
% 34.79/5.21 thf(f4,plain,(
% 34.79/5.21 ~ ! [X0 : (a > $o),X1 : (a > (a > b) > (a > b) > $o)] : (! [X2 : a] : ((((X0 @ X2)) = $true) => (! [X3 : (a > b),X4 : (a > b),X5 : (a > b)] : (((((X1 @ X2 @ X4 @ X5)) = $true) & (((X1 @ X2 @ X3 @ X4)) = $true)) => (((X1 @ X2 @ X3 @ X5)) = $true)) & ! [X6 : (a > b),X7 : (a > b)] : ((((X1 @ X2 @ X6 @ X7)) = $true) => (((X1 @ X2 @ X7 @ X6)) = $true)) & ! [X8 : (a > b)] : (((X1 @ X2 @ X8 @ X8)) = $true))) => (! [X9 : (a > b),X10 : (a > b),X11 : (a > b)] : ((! [X12 : a] : ((((X0 @ X12)) = $true) => (((X1 @ X12 @ X10 @ X11)) = $true)) & ! [X13 : a] : ((((X0 @ X13)) = $true) => (((X1 @ X13 @ X9 @ X10)) = $true))) => ! [X14 : a] : ((((X0 @ X14)) = $true) => (((X1 @ X14 @ X9 @ X11)) = $true))) & ! [X15 : (a > b),X16 : (a > b)] : (! [X17 : a] : ((((X0 @ X17)) = $true) => (((X1 @ X17 @ X15 @ X16)) = $true)) => ! [X18 : a] : ((((X0 @ X18)) = $true) => (((X1 @ X18 @ X16 @ X15)) = $true))) & ! [X19 : (a > b),X20 : a] : ((((X0 @ X20)) = $true) => (((X1 @ X20 @ X19 @ X19)) = $true))))),
% 34.79/5.21 inference(fool_elimination,[],[f3])).
% 34.79/5.21 thf(f5,plain,(
% 34.79/5.21 ? [X0 : (a > $o),X1 : (a > (a > b) > (a > b) > $o)] : ((? [X9 : (a > b),X10 : (a > b),X11 : (a > b)] : (? [X14 : a] : ((((X1 @ X14 @ X9 @ X11)) != $true) & (((X0 @ X14)) = $true)) & (! [X12 : a] : ((((X1 @ X12 @ X10 @ X11)) = $true) | (((X0 @ X12)) != $true)) & ! [X13 : a] : ((((X1 @ X13 @ X9 @ X10)) = $true) | (((X0 @ X13)) != $true)))) | ? [X15 : (a > b),X16 : (a > b)] : (? [X18 : a] : ((((X1 @ X18 @ X16 @ X15)) != $true) & (((X0 @ X18)) = $true)) & ! [X17 : a] : ((((X1 @ X17 @ X15 @ X16)) = $true) | (((X0 @ X17)) != $true))) | ? [X19 : (a > b),X20 : a] : ((((X1 @ X20 @ X19 @ X19)) != $true) & (((X0 @ X20)) = $true))) & ! [X2 : a] : ((! [X3 : (a > b),X4 : (a > b),X5 : (a > b)] : ((((X1 @ X2 @ X3 @ X5)) = $true) | ((((X1 @ X2 @ X4 @ X5)) != $true) | (((X1 @ X2 @ X3 @ X4)) != $true))) & ! [X6 : (a > b),X7 : (a > b)] : ((((X1 @ X2 @ X7 @ X6)) = $true) | (((X1 @ X2 @ X6 @ X7)) != $true)) & ! [X8 : (a > b)] : (((X1 @ X2 @ X8 @ X8)) = $true)) | (((X0 @ X2)) != $true)))),
% 34.79/5.21 inference(ennf_transformation,[],[f4])).
% 34.79/5.21 thf(f6,plain,(
% 34.79/5.21 ? [X0 : (a > $o),X1 : (a > (a > b) > (a > b) > $o)] : ((? [X9 : (a > b),X10 : (a > b),X11 : (a > b)] : (? [X14 : a] : ((((X1 @ X14 @ X9 @ X11)) != $true) & (((X0 @ X14)) = $true)) & ! [X12 : a] : ((((X1 @ X12 @ X10 @ X11)) = $true) | (((X0 @ X12)) != $true)) & ! [X13 : a] : ((((X1 @ X13 @ X9 @ X10)) = $true) | (((X0 @ X13)) != $true))) | ? [X15 : (a > b),X16 : (a > b)] : (? [X18 : a] : ((((X1 @ X18 @ X16 @ X15)) != $true) & (((X0 @ X18)) = $true)) & ! [X17 : a] : ((((X1 @ X17 @ X15 @ X16)) = $true) | (((X0 @ X17)) != $true))) | ? [X19 : (a > b),X20 : a] : ((((X1 @ X20 @ X19 @ X19)) != $true) & (((X0 @ X20)) = $true))) & ! [X2 : a] : ((! [X3 : (a > b),X4 : (a > b),X5 : (a > b)] : ((((X1 @ X2 @ X3 @ X5)) = $true) | (((X1 @ X2 @ X4 @ X5)) != $true) | (((X1 @ X2 @ X3 @ X4)) != $true)) & ! [X6 : (a > b),X7 : (a > b)] : ((((X1 @ X2 @ X7 @ X6)) = $true) | (((X1 @ X2 @ X6 @ X7)) != $true)) & ! [X8 : (a > b)] : (((X1 @ X2 @ X8 @ X8)) = $true)) | (((X0 @ X2)) != $true)))),
% 34.79/5.21 inference(flattening,[],[f5])).
% 34.79/5.21 thf(f7,definition,(
% 34.79/5.21 ! [X1 : (a > (a > b) > (a > b) > $o),X0 : (a > $o)] : (? [X9 : (a > b),X10 : (a > b),X11 : (a > b)] : (? [X14 : a] : ((((X1 @ X14 @ X9 @ X11)) != $true) & (((X0 @ X14)) = $true)) & ! [X12 : a] : ((((X1 @ X12 @ X10 @ X11)) = $true) | (((X0 @ X12)) != $true)) & ! [X13 : a] : ((((X1 @ X13 @ X9 @ X10)) = $true) | (((X0 @ X13)) != $true))) | ~ ($true = ((sP0 @ X0 @ X1))))),
% 34.79/5.21 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 34.79/5.21 thf(f8,plain,(
% 34.79/5.21 ? [X0 : (a > $o),X1 : (a > (a > b) > (a > b) > $o)] : ((($true = ((sP0 @ X0 @ X1))) | ? [X15 : (a > b),X16 : (a > b)] : (? [X18 : a] : ((((X1 @ X18 @ X16 @ X15)) != $true) & (((X0 @ X18)) = $true)) & ! [X17 : a] : ((((X1 @ X17 @ X15 @ X16)) = $true) | (((X0 @ X17)) != $true))) | ? [X19 : (a > b),X20 : a] : ((((X1 @ X20 @ X19 @ X19)) != $true) & (((X0 @ X20)) = $true))) & ! [X2 : a] : ((! [X3 : (a > b),X4 : (a > b),X5 : (a > b)] : ((((X1 @ X2 @ X3 @ X5)) = $true) | (((X1 @ X2 @ X4 @ X5)) != $true) | (((X1 @ X2 @ X3 @ X4)) != $true)) & ! [X6 : (a > b),X7 : (a > b)] : ((((X1 @ X2 @ X7 @ X6)) = $true) | (((X1 @ X2 @ X6 @ X7)) != $true)) & ! [X8 : (a > b)] : (((X1 @ X2 @ X8 @ X8)) = $true)) | (((X0 @ X2)) != $true)))),
% 34.79/5.21 inference(definition_folding,[],[f6,f7])).
% 34.79/5.21 thf(f9,plain,(
% 34.79/5.21 ! [X1 : (a > (a > b) > (a > b) > $o),X0 : (a > $o)] : (? [X9 : (a > b),X10 : (a > b),X11 : (a > b)] : (? [X14 : a] : ((((X1 @ X14 @ X9 @ X11)) != $true) & (((X0 @ X14)) = $true)) & ! [X12 : a] : ((((X1 @ X12 @ X10 @ X11)) = $true) | (((X0 @ X12)) != $true)) & ! [X13 : a] : ((((X1 @ X13 @ X9 @ X10)) = $true) | (((X0 @ X13)) != $true))) | ($true != ((sP0 @ X0 @ X1))))),
% 34.79/5.21 inference(nnf_transformation,[],[f7])).
% 34.79/5.21 thf(f10,plain,(
% 34.79/5.21 ! [X0 : (a > (a > b) > (a > b) > $o),X1 : (a > $o)] : (? [X2 : (a > b),X3 : (a > b),X4 : (a > b)] : (? [X5 : a] : (($true != ((X0 @ X5 @ X2 @ X4))) & ($true = ((X1 @ X5)))) & ! [X6 : a] : (($true = ((X0 @ X6 @ X3 @ X4))) | ($true != ((X1 @ X6)))) & ! [X7 : a] : (($true = ((X0 @ X7 @ X2 @ X3))) | ($true != ((X1 @ X7))))) | ($true != ((sP0 @ X1 @ X0))))),
% 34.79/5.21 inference(rectify,[],[f9])).
% 34.79/5.21 thf(f11,plain,(
% 34.79/5.21 ! [X0 : (a > (a > b) > (a > b) > $o),X1 : (a > $o)] : (((($true != ((X0 @ (sK4 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK3 @ X1 @ X0)))) & ($true = ((X1 @ (sK4 @ X1 @ X0))))) & ! [X6 : a] : (($true = ((X0 @ X6 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0)))) | ($true != ((X1 @ X6)))) & ! [X7 : a] : (($true = ((X0 @ X7 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0)))) | ($true != ((X1 @ X7))))) | ($true != ((sP0 @ X1 @ X0))))),
% 34.79/5.21 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP,vAPP]),skolemize(X5,sK4 @ X1 @ X0),skolemize(X5,sK4 @ X1 @ X0),skolemize(X5,sK4 @ X1 @ X0),skolemize(X5,sK4 @ X1 @ X0)],[f10])).
% 34.79/5.21 thf(f12,plain,(
% 34.79/5.21 ? [X0 : (a > $o),X1 : (a > (a > b) > (a > b) > $o)] : ((($true = ((sP0 @ X0 @ X1))) | ? [X2 : (a > b),X3 : (a > b)] : (? [X4 : a] : (($true != ((X1 @ X4 @ X3 @ X2))) & ($true = ((X0 @ X4)))) & ! [X5 : a] : (($true = ((X1 @ X5 @ X2 @ X3))) | ($true != ((X0 @ X5))))) | ? [X6 : (a > b),X7 : a] : (($true != ((X1 @ X7 @ X6 @ X6))) & ($true = ((X0 @ X7))))) & ! [X8 : a] : ((! [X9 : (a > b),X10 : (a > b),X11 : (a > b)] : (($true = ((X1 @ X8 @ X9 @ X11))) | ($true != ((X1 @ X8 @ X10 @ X11))) | ($true != ((X1 @ X8 @ X9 @ X10)))) & ! [X12 : (a > b),X13 : (a > b)] : (($true = ((X1 @ X8 @ X13 @ X12))) | ($true != ((X1 @ X8 @ X12 @ X13)))) & ! [X14 : (a > b)] : ($true = ((X1 @ X8 @ X14 @ X14)))) | ($true != ((X0 @ X8)))))),
% 34.79/5.21 inference(rectify,[],[f8])).
% 34.79/5.21 thf(f13,plain,(
% 34.79/5.21 (($true = ((sP0 @ sK5 @ sK6))) | ((($true != ((sK6 @ sK9 @ sK8 @ sK7))) & ($true = ((sK5 @ sK9)))) & ! [X5 : a] : (($true = ((sK6 @ X5 @ sK7 @ sK8))) | ($true != ((sK5 @ X5))))) | (($true != ((sK6 @ sK11 @ sK10 @ sK10))) & ($true = ((sK5 @ sK11))))) & ! [X8 : a] : ((! [X9 : (a > b),X10 : (a > b),X11 : (a > b)] : (($true = ((sK6 @ X8 @ X9 @ X11))) | ($true != ((sK6 @ X8 @ X10 @ X11))) | ($true != ((sK6 @ X8 @ X9 @ X10)))) & ! [X12 : (a > b),X13 : (a > b)] : (($true = ((sK6 @ X8 @ X13 @ X12))) | ($true != ((sK6 @ X8 @ X12 @ X13)))) & ! [X14 : (a > b)] : ($true = ((sK6 @ X8 @ X14 @ X14)))) | ($true != ((sK5 @ X8))))),
% 34.79/5.21 inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8),skolemize(X4,sK9),skolemize(X6,sK10),skolemize(X7,sK11)],[f12])).
% 34.79/5.21 thf(f14,plain,(
% 34.79/5.21 ( ! [X0 : (a > (a > b) > (a > b) > $o),X1 : (a > $o),X7 : a] : (($true != ((sP0 @ X1 @ X0))) | ($true != ((X1 @ X7))) | ($true = ((X0 @ X7 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0))))) )),
% 34.79/5.21 inference(cnf_transformation,[],[f11])).
% 34.79/5.21 thf(f15,plain,(
% 34.79/5.21 ( ! [X0 : (a > (a > b) > (a > b) > $o),X1 : (a > $o),X6 : a] : (($true != ((sP0 @ X1 @ X0))) | ($true != ((X1 @ X6))) | ($true = ((X0 @ X6 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0))))) )),
% 34.79/5.21 inference(cnf_transformation,[],[f11])).
% 34.79/5.21 thf(f16,plain,(
% 34.79/5.21 ( ! [X0 : (a > (a > b) > (a > b) > $o),X1 : (a > $o)] : (($true != ((sP0 @ X1 @ X0))) | ($true = ((X1 @ (sK4 @ X1 @ X0))))) )),
% 34.79/5.21 inference(cnf_transformation,[],[f11])).
% 34.79/5.21 thf(f17,plain,(
% 34.79/5.21 ( ! [X0 : (a > (a > b) > (a > b) > $o),X1 : (a > $o)] : (($true != ((sP0 @ X1 @ X0))) | ($true != ((X0 @ (sK4 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK3 @ X1 @ X0))))) )),
% 34.79/5.21 inference(cnf_transformation,[],[f11])).
% 34.79/5.21 thf(f18,plain,(
% 34.79/5.21 ( ! [X8 : a,X14 : (a > b)] : (($true != ((sK5 @ X8))) | ($true = ((sK6 @ X8 @ X14 @ X14)))) )),
% 34.79/5.21 inference(cnf_transformation,[],[f13])).
% 34.79/5.21 thf(f19,plain,(
% 34.79/5.21 ( ! [X8 : a,X12 : (a > b),X13 : (a > b)] : (($true != ((sK5 @ X8))) | ($true != ((sK6 @ X8 @ X12 @ X13))) | ($true = ((sK6 @ X8 @ X13 @ X12)))) )),
% 34.79/5.21 inference(cnf_transformation,[],[f13])).
% 34.79/5.21 thf(f20,plain,(
% 34.79/5.21 ( ! [X10 : (a > b),X11 : (a > b),X8 : a,X9 : (a > b)] : (($true != ((sK5 @ X8))) | ($true != ((sK6 @ X8 @ X10 @ X11))) | ($true != ((sK6 @ X8 @ X9 @ X10))) | ($true = ((sK6 @ X8 @ X9 @ X11)))) )),
% 34.79/5.21 inference(cnf_transformation,[],[f13])).
% 34.79/5.21 thf(f21,plain,(
% 34.79/5.21 ( ! [X5 : a] : (($true = ((sP0 @ sK5 @ sK6))) | ($true = ((sK6 @ X5 @ sK7 @ sK8))) | ($true != ((sK5 @ X5))) | ($true = ((sK5 @ sK11)))) )),
% 34.79/5.21 inference(cnf_transformation,[],[f13])).
% 34.79/5.21 thf(f22,plain,(
% 34.79/5.21 ( ! [X5 : a] : (($true = ((sP0 @ sK5 @ sK6))) | ($true = ((sK6 @ X5 @ sK7 @ sK8))) | ($true != ((sK5 @ X5))) | ($true != ((sK6 @ sK11 @ sK10 @ sK10)))) )),
% 34.79/5.21 inference(cnf_transformation,[],[f13])).
% 34.79/5.21 thf(f23,plain,(
% 34.79/5.21 ($true = ((sP0 @ sK5 @ sK6))) | ($true = ((sK5 @ sK9))) | ($true = ((sK5 @ sK11)))),
% 34.79/5.21 inference(cnf_transformation,[],[f13])).
% 34.79/5.21 thf(f24,plain,(
% 34.79/5.21 ($true = ((sP0 @ sK5 @ sK6))) | ($true = ((sK5 @ sK9))) | ($true != ((sK6 @ sK11 @ sK10 @ sK10)))),
% 34.79/5.21 inference(cnf_transformation,[],[f13])).
% 34.79/5.21 thf(f25,plain,(
% 34.79/5.21 ($true = ((sP0 @ sK5 @ sK6))) | ($true != ((sK6 @ sK9 @ sK8 @ sK7))) | ($true = ((sK5 @ sK11)))),
% 34.79/5.21 inference(cnf_transformation,[],[f13])).
% 34.79/5.21 thf(f26,plain,(
% 34.79/5.21 ($true = ((sP0 @ sK5 @ sK6))) | ($true != ((sK6 @ sK9 @ sK8 @ sK7))) | ($true != ((sK6 @ sK11 @ sK10 @ sK10)))),
% 34.79/5.21 inference(cnf_transformation,[],[f13])).
% 34.79/5.21 thf(f28,definition,(
% 34.79/5.21 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 34.79/5.21 introduced(theory,[fool_exhaustiveness_axiom])).
% 34.79/5.21 thf(f30,definition,(
% 34.79/5.21 spl12_1 <=> ($true = ((sK5 @ sK11)))),
% 34.79/5.21 introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition])).
% 34.79/5.21 thf(f32,plain,(
% 34.79/5.21 ($true = ((sK5 @ sK11))) | ~spl12_1),
% 34.79/5.21 inference(avatar_component_clause,[],[f30])).
% 34.79/5.21 thf(f34,definition,(
% 34.79/5.21 spl12_2 <=> ! [X5 : a] : (($true = ((sK6 @ X5 @ sK7 @ sK8))) | ($true != ((sK5 @ X5))))),
% 34.79/5.21 introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition])).
% 34.79/5.21 thf(f35,plain,(
% 34.79/5.21 ( ! [X5 : a] : (($true != ((sK5 @ X5))) | ($true = ((sK6 @ X5 @ sK7 @ sK8)))) ) | ~spl12_2),
% 34.79/5.21 inference(avatar_component_clause,[],[f34])).
% 34.79/5.21 thf(f37,definition,(
% 34.79/5.21 spl12_3 <=> ($true = ((sP0 @ sK5 @ sK6)))),
% 34.79/5.21 introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition])).
% 34.79/5.21 thf(f39,plain,(
% 34.79/5.21 ($true = ((sP0 @ sK5 @ sK6))) | ~spl12_3),
% 34.79/5.21 inference(avatar_component_clause,[],[f37])).
% 34.79/5.21 thf(f40,plain,(
% 34.79/5.21 spl12_1 | spl12_2 | spl12_3),
% 34.79/5.21 inference(avatar_split_clause,[],[f21,f37,f34,f30])).
% 34.79/5.21 thf(f42,definition,(
% 34.79/5.21 spl12_4 <=> ($true = ((sK6 @ sK11 @ sK10 @ sK10)))),
% 34.79/5.21 introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition])).
% 34.79/5.21 thf(f44,plain,(
% 34.79/5.21 ($true != ((sK6 @ sK11 @ sK10 @ sK10))) | spl12_4),
% 34.79/5.21 inference(avatar_component_clause,[],[f42])).
% 34.79/5.21 thf(f45,plain,(
% 34.79/5.21 ~spl12_4 | spl12_2 | spl12_3),
% 34.79/5.21 inference(avatar_split_clause,[],[f22,f37,f34,f42])).
% 34.79/5.21 thf(f47,definition,(
% 34.79/5.21 spl12_5 <=> ($true = ((sK5 @ sK9)))),
% 34.79/5.21 introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition])).
% 34.79/5.21 thf(f49,plain,(
% 34.79/5.21 ($true = ((sK5 @ sK9))) | ~spl12_5),
% 34.79/5.21 inference(avatar_component_clause,[],[f47])).
% 34.79/5.21 thf(f50,plain,(
% 34.79/5.21 spl12_1 | spl12_5 | spl12_3),
% 34.79/5.21 inference(avatar_split_clause,[],[f23,f37,f47,f30])).
% 34.79/5.21 thf(f51,plain,(
% 34.79/5.21 ~spl12_4 | spl12_5 | spl12_3),
% 34.79/5.21 inference(avatar_split_clause,[],[f24,f37,f47,f42])).
% 34.79/5.21 thf(f53,definition,(
% 34.79/5.21 spl12_6 <=> ($true = ((sK6 @ sK9 @ sK8 @ sK7)))),
% 34.79/5.21 introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition])).
% 34.79/5.21 thf(f55,plain,(
% 34.79/5.21 ($true != ((sK6 @ sK9 @ sK8 @ sK7))) | spl12_6),
% 34.79/5.21 inference(avatar_component_clause,[],[f53])).
% 34.79/5.21 thf(f56,plain,(
% 34.79/5.21 spl12_1 | ~spl12_6 | spl12_3),
% 34.79/5.21 inference(avatar_split_clause,[],[f25,f37,f53,f30])).
% 34.79/5.21 thf(f57,plain,(
% 34.79/5.21 ~spl12_4 | ~spl12_6 | spl12_3),
% 34.79/5.21 inference(avatar_split_clause,[],[f26,f37,f53,f42])).
% 34.79/5.21 thf(f67,plain,(
% 34.79/5.21 ( ! [X2 : (a > b),X0 : a,X1 : (a > b)] : (($true != $true) | ($true != ((sK6 @ X0 @ X1 @ X2))) | ($true = ((sK6 @ X0 @ X2 @ X1))) | ($false = ((sK5 @ X0)))) )),
% 34.79/5.21 inference(constrained_superposition,[],[f19,f28])).
% 34.79/5.21 thf(f68,plain,(
% 34.79/5.21 ( ! [X2 : (a > b),X0 : a,X1 : (a > b)] : (($true != ((sK6 @ X0 @ X1 @ X2))) | ($true = ((sK6 @ X0 @ X2 @ X1))) | ($false = ((sK5 @ X0)))) )),
% 34.79/5.21 inference(trivial_inequality_removal,[],[f67])).
% 34.79/5.21 thf(f69,plain,(
% 34.79/5.21 ( ! [X2 : (a > b),X0 : a,X1 : (a > b)] : (($true != $true) | ($true = ((sK6 @ X0 @ X2 @ X1))) | ($false = ((sK5 @ X0))) | ($false = ((sK6 @ X0 @ X1 @ X2)))) )),
% 34.79/5.21 inference(constrained_superposition,[],[f68,f28])).
% 34.79/5.21 thf(f70,plain,(
% 34.79/5.21 ( ! [X2 : (a > b),X0 : a,X1 : (a > b)] : (($true = ((sK6 @ X0 @ X2 @ X1))) | ($false = ((sK6 @ X0 @ X1 @ X2))) | ($false = ((sK5 @ X0)))) )),
% 34.79/5.21 inference(trivial_inequality_removal,[],[f69])).
% 34.79/5.21 thf(f85,plain,(
% 34.79/5.21 ( ! [X2 : (a > b),X3 : (a > b),X0 : a,X1 : (a > b)] : (($true != $true) | ($true != ((sK6 @ X0 @ X1 @ X2))) | ($true != ((sK6 @ X0 @ X3 @ X1))) | ($true = ((sK6 @ X0 @ X3 @ X2))) | ($false = ((sK5 @ X0)))) )),
% 34.79/5.21 inference(constrained_superposition,[],[f20,f28])).
% 34.79/5.21 thf(f86,plain,(
% 34.79/5.21 ( ! [X2 : (a > b),X3 : (a > b),X0 : a,X1 : (a > b)] : (($true != ((sK6 @ X0 @ X3 @ X1))) | ($true != ((sK6 @ X0 @ X1 @ X2))) | ($true = ((sK6 @ X0 @ X3 @ X2))) | ($false = ((sK5 @ X0)))) )),
% 34.79/5.21 inference(trivial_inequality_removal,[],[f85])).
% 34.79/5.21 thf(f96,plain,(
% 34.79/5.21 ($true != $true) | ($true = ((sK5 @ (sK4 @ sK5 @ sK6)))) | ~spl12_3),
% 34.79/5.21 inference(constrained_superposition,[],[f16,f39])).
% 34.79/5.21 thf(f99,plain,(
% 34.79/5.21 ($true = ((sK5 @ (sK4 @ sK5 @ sK6)))) | ~spl12_3),
% 34.79/5.21 inference(trivial_inequality_removal,[],[f96])).
% 34.79/5.21 thf(f623,plain,(
% 34.79/5.21 ( ! [X0 : a] : (($true != $true) | ($true != ((sK5 @ X0))) | ($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6) @ (sK2 @ sK5 @ sK6))))) ) | ~spl12_3),
% 34.79/5.21 inference(constrained_superposition,[],[f14,f39])).
% 34.79/5.21 thf(f626,plain,(
% 34.79/5.21 ( ! [X0 : a] : (($true != ((sK5 @ X0))) | ($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6) @ (sK2 @ sK5 @ sK6))))) ) | ~spl12_3),
% 34.79/5.21 inference(trivial_inequality_removal,[],[f623])).
% 34.79/5.21 thf(f628,plain,(
% 34.79/5.21 ( ! [X0 : a] : (($true != $true) | ($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6) @ (sK2 @ sK5 @ sK6)))) | ($false = ((sK5 @ X0)))) ) | ~spl12_3),
% 34.79/5.21 inference(constrained_superposition,[],[f626,f28])).
% 34.79/5.21 thf(f629,plain,(
% 34.79/5.21 ( ! [X0 : a] : (($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6) @ (sK2 @ sK5 @ sK6)))) | ($false = ((sK5 @ X0)))) ) | ~spl12_3),
% 34.79/5.21 inference(trivial_inequality_removal,[],[f628])).
% 34.79/5.21 thf(f640,plain,(
% 34.79/5.21 ( ! [X0 : a,X1 : (a > b)] : (($true != $true) | ($true != ((sK6 @ X0 @ (sK2 @ sK5 @ sK6) @ X1))) | ($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6) @ X1))) | ($false = ((sK5 @ X0))) | ($false = ((sK5 @ X0)))) ) | ~spl12_3),
% 34.79/5.21 inference(constrained_superposition,[],[f86,f629])).
% 34.79/5.21 thf(f671,plain,(
% 34.79/5.21 ( ! [X0 : a,X1 : (a > b)] : (($true != $true) | ($true != ((sK6 @ X0 @ (sK2 @ sK5 @ sK6) @ X1))) | ($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6) @ X1))) | ($false = ((sK5 @ X0)))) ) | ~spl12_3),
% 34.79/5.21 inference(duplicate_literal_removal,[],[f640])).
% 34.79/5.21 thf(f672,plain,(
% 34.79/5.21 ( ! [X0 : a,X1 : (a > b)] : (($true != ((sK6 @ X0 @ (sK2 @ sK5 @ sK6) @ X1))) | ($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6) @ X1))) | ($false = ((sK5 @ X0)))) ) | ~spl12_3),
% 34.79/5.21 inference(trivial_inequality_removal,[],[f671])).
% 34.79/5.21 thf(f1579,plain,(
% 34.79/5.21 ( ! [X0 : a] : (($true != $true) | ($true != ((sK5 @ X0))) | ($true = ((sK6 @ X0 @ (sK2 @ sK5 @ sK6) @ (sK3 @ sK5 @ sK6))))) ) | ~spl12_3),
% 34.79/5.21 inference(constrained_superposition,[],[f15,f39])).
% 34.79/5.21 thf(f1582,plain,(
% 34.79/5.21 ( ! [X0 : a] : (($true != ((sK5 @ X0))) | ($true = ((sK6 @ X0 @ (sK2 @ sK5 @ sK6) @ (sK3 @ sK5 @ sK6))))) ) | ~spl12_3),
% 34.79/5.21 inference(trivial_inequality_removal,[],[f1579])).
% 34.79/5.21 thf(f1583,plain,(
% 34.79/5.21 ($true != $true) | ($true = ((sK6 @ (sK4 @ sK5 @ sK6) @ (sK2 @ sK5 @ sK6) @ (sK3 @ sK5 @ sK6)))) | ~spl12_3),
% 34.79/5.21 inference(constrained_superposition,[],[f1582,f99])).
% 34.79/5.21 thf(f1586,plain,(
% 34.79/5.21 ($true = ((sK6 @ (sK4 @ sK5 @ sK6) @ (sK2 @ sK5 @ sK6) @ (sK3 @ sK5 @ sK6)))) | ~spl12_3),
% 34.79/5.21 inference(trivial_inequality_removal,[],[f1583])).
% 34.79/5.21 thf(f3822,plain,(
% 34.79/5.21 ($true != $true) | ($true != ((sK6 @ (sK4 @ sK5 @ sK6) @ (sK1 @ sK5 @ sK6) @ (sK3 @ sK5 @ sK6)))) | ~spl12_3),
% 34.79/5.21 inference(constrained_superposition,[],[f17,f39])).
% 34.79/5.21 thf(f3825,plain,(
% 34.79/5.21 ($true != ((sK6 @ (sK4 @ sK5 @ sK6) @ (sK1 @ sK5 @ sK6) @ (sK3 @ sK5 @ sK6)))) | ~spl12_3),
% 34.79/5.21 inference(trivial_inequality_removal,[],[f3822])).
% 34.79/5.21 thf(f6428,plain,(
% 34.79/5.21 ($true != $true) | ($true = ((sK6 @ (sK4 @ sK5 @ sK6) @ (sK1 @ sK5 @ sK6) @ (sK3 @ sK5 @ sK6)))) | ($false = ((sK5 @ (sK4 @ sK5 @ sK6)))) | ~spl12_3),
% 34.79/5.21 inference(constrained_superposition,[],[f672,f1586])).
% 34.79/5.21 thf(f6436,plain,(
% 34.79/5.21 ($true = ((sK6 @ (sK4 @ sK5 @ sK6) @ (sK1 @ sK5 @ sK6) @ (sK3 @ sK5 @ sK6)))) | ($false = ((sK5 @ (sK4 @ sK5 @ sK6)))) | ~spl12_3),
% 34.79/5.21 inference(trivial_inequality_removal,[],[f6428])).
% 34.79/5.22 thf(f6505,plain,(
% 34.79/5.22 ($false = ((sK5 @ (sK4 @ sK5 @ sK6)))) | ~spl12_3),
% 34.79/5.22 inference(forward_subsumption_resolution,[],[f6436,f3825])).
% 34.79/5.22 thf(f6506,plain,(
% 34.79/5.22 ($true = $false) | ~spl12_3),
% 34.79/5.22 inference(constrained_superposition,[],[f6505,f99])).
% 34.79/5.22 thf(f6529,plain,(
% 34.79/5.22 $false | ~spl12_3),
% 34.79/5.22 inference(trivial_inequality_removal,[],[f6506])).
% 34.79/5.22 thf(f6530,plain,(
% 34.79/5.22 ~spl12_3),
% 34.79/5.22 inference(avatar_contradiction_clause,[],[f6529])).
% 34.79/5.22 thf(f6533,plain,(
% 34.79/5.22 ( ! [X0 : (a > b)] : (($true != $true) | ($true = ((sK6 @ sK11 @ X0 @ X0)))) ) | ~spl12_1),
% 34.79/5.22 inference(constrained_superposition,[],[f18,f32])).
% 34.79/5.22 thf(f6534,plain,(
% 34.79/5.22 ( ! [X0 : (a > b)] : (($true = ((sK6 @ sK11 @ X0 @ X0)))) ) | ~spl12_1),
% 34.79/5.22 inference(trivial_inequality_removal,[],[f6533])).
% 34.79/5.22 thf(f6584,plain,(
% 34.79/5.22 ($true != $true) | (((sK6 @ sK11 @ sK10 @ sK10)) = $false) | spl12_4),
% 34.79/5.22 inference(constrained_superposition,[],[f44,f28])).
% 34.79/5.22 thf(f6585,plain,(
% 34.79/5.22 (((sK6 @ sK11 @ sK10 @ sK10)) = $false) | spl12_4),
% 34.79/5.22 inference(trivial_inequality_removal,[],[f6584])).
% 34.79/5.22 thf(f6604,plain,(
% 34.79/5.22 ($true = $false) | (~spl12_1 | spl12_4)),
% 34.79/5.22 inference(forward_demodulation,[],[f6585,f6534])).
% 34.79/5.22 thf(f6605,plain,(
% 34.79/5.22 $false | (~spl12_1 | spl12_4)),
% 34.79/5.22 inference(trivial_inequality_removal,[],[f6604])).
% 34.79/5.22 thf(f6606,plain,(
% 34.79/5.22 ~spl12_1 | spl12_4),
% 34.79/5.22 inference(avatar_contradiction_clause,[],[f6605])).
% 34.79/5.22 thf(f6651,plain,(
% 34.79/5.22 ($true != $true) | ($false = ((sK6 @ sK9 @ sK7 @ sK8))) | (((sK5 @ sK9)) = $false) | spl12_6),
% 34.79/5.22 inference(constrained_superposition,[],[f55,f70])).
% 34.79/5.22 thf(f6714,plain,(
% 34.79/5.22 ($false = ((sK6 @ sK9 @ sK7 @ sK8))) | (((sK5 @ sK9)) = $false) | spl12_6),
% 34.79/5.22 inference(trivial_inequality_removal,[],[f6651])).
% 34.79/5.22 thf(f6739,plain,(
% 34.79/5.22 ($true = $false) | ($false = ((sK6 @ sK9 @ sK7 @ sK8))) | (~spl12_5 | spl12_6)),
% 34.79/5.22 inference(forward_demodulation,[],[f6714,f49])).
% 34.79/5.22 thf(f6740,plain,(
% 34.79/5.22 ($false = ((sK6 @ sK9 @ sK7 @ sK8))) | (~spl12_5 | spl12_6)),
% 34.79/5.22 inference(trivial_inequality_removal,[],[f6739])).
% 34.79/5.22 thf(f7087,plain,(
% 34.79/5.22 ($true != $true) | ($true = ((sK6 @ sK9 @ sK7 @ sK8))) | (~spl12_2 | ~spl12_5)),
% 34.79/5.22 inference(constrained_superposition,[],[f35,f49])).
% 34.79/5.22 thf(f7091,plain,(
% 34.79/5.22 ($true = ((sK6 @ sK9 @ sK7 @ sK8))) | (~spl12_2 | ~spl12_5)),
% 34.79/5.22 inference(trivial_inequality_removal,[],[f7087])).
% 34.79/5.22 thf(f7093,plain,(
% 34.79/5.22 ($true = $false) | (~spl12_2 | ~spl12_5 | spl12_6)),
% 34.79/5.22 inference(forward_demodulation,[],[f7091,f6740])).
% 34.79/5.22 thf(f7094,plain,(
% 34.79/5.22 $false | (~spl12_2 | ~spl12_5 | spl12_6)),
% 34.79/5.22 inference(trivial_inequality_removal,[],[f7093])).
% 34.79/5.22 thf(f7095,plain,(
% 34.79/5.22 ~spl12_2 | ~spl12_5 | spl12_6),
% 34.79/5.22 inference(avatar_contradiction_clause,[],[f7094])).
% 34.79/5.22 cnf(s1, plain, spl12_1 | spl12_2 | spl12_3, inference(sat_conversion,[],[f40])).
% 34.79/5.22 cnf(s2, plain, spl12_2 | spl12_3 | ~spl12_4, inference(sat_conversion,[],[f45])).
% 34.79/5.22 cnf(s3, plain, spl12_1 | spl12_3 | spl12_5, inference(sat_conversion,[],[f50])).
% 34.79/5.22 cnf(s4, plain, spl12_3 | ~spl12_4 | spl12_5, inference(sat_conversion,[],[f51])).
% 34.79/5.22 cnf(s5, plain, spl12_1 | spl12_3 | ~spl12_6, inference(sat_conversion,[],[f56])).
% 34.79/5.22 cnf(s6, plain, spl12_3 | ~spl12_4 | ~spl12_6, inference(sat_conversion,[],[f57])).
% 34.79/5.22 cnf(s8, plain, ~spl12_3, inference(sat_conversion,[],[f6530])).
% 34.79/5.22 cnf(s9, plain, ~spl12_1 | spl12_4, inference(sat_conversion,[],[f6606])).
% 34.79/5.22 cnf(s10, plain, ~spl12_2 | ~spl12_5 | spl12_6, inference(sat_conversion,[],[f7095])).
% 34.79/5.22 cnf(s11, plain, ~spl12_4 | ~spl12_6, inference(rat,[],[s6,s8])).
% 34.79/5.22 cnf(s12, plain, spl12_1 | ~spl12_6, inference(rat,[],[s5,s8])).
% 34.79/5.22 cnf(s13, plain, ~spl12_4 | spl12_5, inference(rat,[],[s4,s8])).
% 34.79/5.22 cnf(s14, plain, spl12_1 | spl12_5, inference(rat,[],[s3,s8])).
% 34.79/5.22 cnf(s15, plain, spl12_2 | ~spl12_4, inference(rat,[],[s2,s8])).
% 34.79/5.22 cnf(s16, plain, spl12_1 | spl12_2, inference(rat,[],[s1,s8])).
% 34.79/5.22 cnf(s17, plain, spl12_1, inference(rat,[],[s10,s16,s14,s12])).
% 34.79/5.22 cnf(s18, plain, spl12_4, inference(rat,[],[s9,s17])).
% 34.79/5.22 cnf(s19, plain, ~spl12_6, inference(rat,[],[s11,s18])).
% 34.79/5.22 cnf(s20, plain, spl12_5, inference(rat,[],[s13,s18])).
% 34.79/5.22 cnf(s21, plain, spl12_2, inference(rat,[],[s15,s18])).
% 34.79/5.22 cnf(s22, plain, $false, inference(rat,[],[s10,s19,s20,s21])).
% 34.79/5.22 thf(f7096,plain,(
% 34.79/5.22 $false),
% 34.79/5.22 inference(avatar_sat_refutation,[],[s22])).
% 34.79/5.22 % SZS output end Proof for theBenchmark
% 34.79/5.22 % (2224874)------------------------------
% 34.79/5.22 % (2224874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.79/5.22 % (2224874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.79/5.22 % (2224874)CaDiCaL version: 2.1.3
% 34.79/5.22 % (2224874)Termination reason: Refutation
% 34.79/5.22 % (2224874)Time elapsed: 0.364 s
% 34.79/5.22 % (2224874)Peak memory usage: 14 MB
% 34.79/5.22 % (2224874)Instructions burned: 891 (million)
% 34.79/5.22 % (2224789)Success in time 4.974 s
% 34.79/5.22 % Vampire exiting
%------------------------------------------------------------------------------