%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV044^5 : 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 : n015.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 08:38:54 AM UTC 2026
% Result : Theorem 17.46s 2.73s
% Output : Refutation 17.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV044^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 15:07:38 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.23/0.98 % (3637905)Will run a generic schedule for satisfiability detection.
% 4.23/0.98 % (3637911)% WARNING: option uhcvi not known.
% 4.23/0.98 % (3637911)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3053173964:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.23/0.98 % (3637911)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.23/0.98 % (3637911)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.23/0.98 % (3637910)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2680673718_2999 on theBenchmark for (2999ds/0Mi)
% 4.23/0.98 % (3637912)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3984121673:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.23/0.98 % (3637913)dis+10_1_sil=32000:sp=arity:random_seed=1273170412:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.23/0.98 % Exception at run slice level
% 4.23/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.23/0.98 % (3637914)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4259117909:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.23/0.98 % (3637914)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.23/0.98 % (3637916)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3029026823:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.23/0.98 % (3637921)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=825291506:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.23/0.98 % Exception at run slice level
% 4.23/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.23/0.98 % (3637915)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4147645262:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.23/0.98 % (3637926)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=758721718:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.23/0.98 % (3637913)Instruction limit reached!
% 4.23/0.98 % (3637913)------------------------------
% 4.23/0.98 % (3637913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.98 % (3637913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.98 % (3637913)CaDiCaL version: 2.1.3
% 4.23/0.98 % (3637913)Termination reason: Instruction limit
% 4.23/0.98 % (3637913)Termination phase: Saturation
% 4.23/0.98 % (3637913)Time elapsed: 0.051 s
% 4.23/0.98 % (3637913)Peak memory usage: 12 MB
% 4.23/0.98 % (3637913)Instructions burned: 103 (million)
% 4.23/0.98 % (3637928)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=1406327689:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.23/0.98 % (3637928)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.23/0.98 % (3637928)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.23/0.98 % (3637914)Instruction limit reached!
% 4.23/0.98 % (3637914)------------------------------
% 4.23/0.98 % (3637914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.98 % (3637914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.98 % (3637914)CaDiCaL version: 2.1.3
% 4.23/0.98 % (3637914)Termination reason: Instruction limit
% 4.23/0.98 % (3637914)Termination phase: Saturation
% 4.23/0.98 % (3637914)Time elapsed: 0.067 s
% 4.23/0.98 % (3637914)Peak memory usage: 12 MB
% 4.23/0.98 % (3637914)Instructions burned: 117 (million)
% 4.23/0.98 % (3637915)Instruction limit reached!
% 4.23/0.98 % (3637915)------------------------------
% 4.23/0.98 % (3637915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.98 % (3637915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.98 % (3637915)CaDiCaL version: 2.1.3
% 4.23/0.98 % (3637915)Termination reason: Instruction limit
% 4.23/0.98 % (3637915)Termination phase: Saturation
% 4.23/0.98 % (3637915)Time elapsed: 0.074 s
% 4.23/0.98 % (3637915)Peak memory usage: 13 MB
% 4.23/0.98 % (3637915)Instructions burned: 133 (million)
% 4.23/0.98 % (3637930)ott-21_1_sil=16000:fs=off:random_seed=353491539:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.23/0.98 % (3637926)Instruction limit reached!
% 17.46/2.73 % (3637926)------------------------------
% 17.46/2.73 % (3637926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.73 % (3637926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.73 % (3637926)CaDiCaL version: 2.1.3
% 17.46/2.73 % (3637926)Termination reason: Instruction limit
% 17.46/2.73 % (3637926)Termination phase: Saturation
% 17.46/2.73 % (3637926)Time elapsed: 0.066 s
% 17.46/2.73 % (3637926)Peak memory usage: 12 MB
% 17.46/2.73 % (3637926)Instructions burned: 132 (million)
% 17.46/2.73 % (3637916)Instruction limit reached!
% 17.46/2.73 % (3637916)------------------------------
% 17.46/2.73 % (3637916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.73 % (3637916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.73 % (3637916)CaDiCaL version: 2.1.3
% 17.46/2.73 % (3637916)Termination reason: Instruction limit
% 17.46/2.73 % (3637916)Termination phase: Saturation
% 17.46/2.73 % (3637916)Time elapsed: 0.102 s
% 17.46/2.73 % (3637916)Peak memory usage: 12 MB
% 17.46/2.73 % (3637916)Instructions burned: 160 (million)
% 17.46/2.73 % (3637932)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1354522258:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.46/2.73 % (3637933)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3886646133:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.46/2.73 % Exception at run slice level
% 17.46/2.73 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.46/2.73 % (3637934)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1167565528:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.46/2.73 % (3637937)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=614722482:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.46/2.73 % Exception at run slice level
% 17.46/2.73 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.46/2.73 % (3637940)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=1256465669: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)
% 17.46/2.73 % (3637940)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.46/2.73 % (3637930)Instruction limit reached!
% 17.46/2.73 % (3637930)------------------------------
% 17.46/2.73 % (3637930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.73 % (3637930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.73 % (3637930)CaDiCaL version: 2.1.3
% 17.46/2.73 % (3637930)Termination reason: Instruction limit
% 17.46/2.73 % (3637930)Termination phase: Saturation
% 17.46/2.73 % (3637930)Time elapsed: 0.093 s
% 17.46/2.73 % (3637930)Peak memory usage: 12 MB
% 17.46/2.73 % (3637930)Instructions burned: 182 (million)
% 17.46/2.73 % (3637942)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2166158911:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 17.46/2.73 % (3637942)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.46/2.73 % (3637928)Instruction limit reached!
% 17.46/2.73 % (3637928)------------------------------
% 17.46/2.73 % (3637928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.73 % (3637928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.73 % (3637928)CaDiCaL version: 2.1.3
% 17.46/2.73 % (3637928)Termination reason: Instruction limit
% 17.46/2.73 % (3637928)Termination phase: Saturation
% 17.46/2.73 % (3637928)Time elapsed: 0.346 s
% 17.46/2.73 % (3637928)Peak memory usage: 14 MB
% 17.46/2.73 % (3637928)Instructions burned: 684 (million)
% 17.46/2.73 % (3637932)Instruction limit reached!
% 17.46/2.73 % (3637932)------------------------------
% 17.46/2.73 % (3637932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.73 % (3637932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.73 % (3637932)CaDiCaL version: 2.1.3
% 17.46/2.73 % (3637932)Termination reason: Instruction limit
% 17.46/2.73 % (3637932)Termination phase: Saturation
% 17.46/2.73 % (3637932)Time elapsed: 0.316 s
% 17.46/2.73 % (3637932)Peak memory usage: 14 MB
% 17.46/2.73 % (3637932)Instructions burned: 479 (million)
% 17.46/2.73 % (3637944)fmb+10_1_sil=64000:random_seed=1602701185:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 17.46/2.73 % (3637944)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.46/2.73 % Exception at run slice level
% 17.46/2.73 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.46/2.73 % (3637945)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1532064853:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 17.46/2.73 % Exception at run slice level
% 17.46/2.73 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.46/2.73 % (3637947)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1684773660:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 17.46/2.73 % Exception at run slice level
% 17.46/2.73 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.46/2.73 % (3637940)Instruction limit reached!
% 17.46/2.73 % (3637940)------------------------------
% 17.46/2.73 % (3637940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.73 % (3637940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.73 % (3637940)CaDiCaL version: 2.1.3
% 17.46/2.73 % (3637940)Termination reason: Instruction limit
% 17.46/2.73 % (3637940)Termination phase: Saturation
% 17.46/2.73 % (3637940)Time elapsed: 0.319 s
% 17.46/2.73 % (3637940)Peak memory usage: 19 MB
% 17.46/2.73 % (3637940)Instructions burned: 694 (million)
% 17.46/2.73 % (3637949)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=211070894:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 17.46/2.73 % (3637949)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.46/2.73 % (3637952)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2097085328:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 17.46/2.73 % (3637951)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3829971249:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 17.46/2.73 % Exception at run slice level
% 17.46/2.73 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.46/2.73 % (3637951)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.46/2.73 % (3637951)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.46/2.73 % (3637956)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2068677627:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 17.46/2.73 % Exception at run slice level
% 17.46/2.73 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.46/2.73 % (3637958)ott-2_1_sil=16000:newcnf=on:random_seed=2594195939:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 17.46/2.73 % (3637958)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.46/2.73 % (3637934)Instruction limit reached!
% 17.46/2.73 % (3637934)------------------------------
% 17.46/2.73 % (3637934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.73 % (3637934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.73 % (3637934)CaDiCaL version: 2.1.3
% 17.46/2.73 % (3637934)Termination reason: Instruction limit
% 17.46/2.73 % (3637934)Termination phase: Saturation
% 17.46/2.73 % (3637934)Time elapsed: 0.534 s
% 17.46/2.73 % (3637934)Peak memory usage: 17 MB
% 17.46/2.73 % (3637934)Instructions burned: 1180 (million)
% 17.46/2.73 % (3637961)ott+10_1_sil=32000:tgt=ground:random_seed=2686561469:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 17.46/2.73 % (3637942)Instruction limit reached!
% 17.46/2.73 % (3637942)------------------------------
% 17.46/2.73 % (3637942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.73 % (3637942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.73 % (3637942)CaDiCaL version: 2.1.3
% 17.46/2.73 % (3637942)Termination reason: Instruction limit
% 17.46/2.73 % (3637942)Termination phase: Saturation
% 17.46/2.73 % (3637942)Time elapsed: 0.485 s
% 17.46/2.73 % (3637942)Peak memory usage: 16 MB
% 17.46/2.73 % (3637942)Instructions burned: 881 (million)
% 17.46/2.73 % (3637963)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=556851745:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 17.46/2.73 % Exception at run slice level
% 17.46/2.73 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.46/2.73 % (3637965)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=311261647:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 17.46/2.73 % (3637965)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.46/2.73 % (3637958)Instruction limit reached!
% 17.46/2.73 % (3637958)------------------------------
% 17.46/2.73 % (3637958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.73 % (3637958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.73 % (3637958)CaDiCaL version: 2.1.3
% 17.46/2.73 % (3637958)Termination reason: Instruction limit
% 17.46/2.73 % (3637958)Termination phase: Saturation
% 17.46/2.73 % (3637958)Time elapsed: 0.416 s
% 17.46/2.73 % (3637958)Peak memory usage: 37 MB
% 17.46/2.73 % (3637958)Instructions burned: 870 (million)
% 17.46/2.73 % (3637967)dis+21_1_sil=32000:sas=cadical:random_seed=1997589230:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 17.46/2.73 % (3637951)Instruction limit reached!
% 17.46/2.73 % (3637951)------------------------------
% 17.46/2.73 % (3637951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.73 % (3637951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.73 % (3637951)CaDiCaL version: 2.1.3
% 17.46/2.73 % (3637951)Termination reason: Instruction limit
% 17.46/2.73 % (3637951)Termination phase: Saturation
% 17.46/2.73 % (3637951)Time elapsed: 0.670 s
% 17.46/2.73 % (3637951)Peak memory usage: 13 MB
% 17.46/2.73 % (3637951)Instructions burned: 1473 (million)
% 17.46/2.73 % (3637969)ott+11_1_sil=16000:gs=on:random_seed=1431537833:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 17.46/2.73 % (3637969)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.46/2.73 % (3637949) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3637905-3637949"...
% 17.46/2.73 % (3637949)...printing done.
% 17.46/2.73 % (3637949)Refutation found. Thanks to Tanya!
% 17.46/2.73 % SZS status Theorem for theBenchmark
% 17.46/2.73 % SZS output start Proof for theBenchmark
% 17.46/2.73 thf(type_def_5, type, b: $tType).
% 17.46/2.73 thf(type_def_6, type, a: $tType).
% 17.46/2.73 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 17.46/2.73 thf(func_def_3, type, sP0: ((b > $o) > (b > a > a > $o) > $o)).
% 17.46/2.73 thf(func_def_4, type, sK1: ((b > $o) > (b > a > a > $o) > b > a)).
% 17.46/2.73 thf(func_def_5, type, sK2: ((b > $o) > (b > a > a > $o) > b > a)).
% 17.46/2.73 thf(func_def_6, type, sK3: ((b > $o) > (b > a > a > $o) > b > a)).
% 17.46/2.73 thf(func_def_7, type, sK4: ((b > $o) > (b > a > a > $o) > b)).
% 17.46/2.73 thf(func_def_8, type, sK5: (b > $o)).
% 17.46/2.73 thf(func_def_9, type, sK6: (b > a > a > $o)).
% 17.46/2.73 thf(func_def_10, type, sK7: (b > a)).
% 17.46/2.73 thf(func_def_11, type, sK8: (b > a)).
% 17.46/2.73 thf(func_def_12, type, sK9: b).
% 17.46/2.73 thf(func_def_13, type, vNOT: ($o > $o)).
% 17.46/2.73 thf(func_def_15, type, db0: !>[X0: $tType]:(X0)).
% 17.46/2.73 thf(func_def_16, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 17.46/2.73 thf(func_def_17, type, db1: !>[X0: $tType]:(X0)).
% 17.46/2.73 thf(func_def_18, type, db2: !>[X0: $tType]:(X0)).
% 17.46/2.73 thf(func_def_19, type, db3: !>[X0: $tType]:(X0)).
% 17.46/2.73 thf(func_def_20, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 17.46/2.73 thf(func_def_21, type, db4: !>[X0: $tType]:(X0)).
% 17.46/2.73 thf(func_def_22, type, db5: !>[X0: $tType]:(X0)).
% 17.46/2.73 thf(func_def_23, type, db7: !>[X0: $tType]:(X0)).
% 17.46/2.73 thf(func_def_24, type, db6: !>[X0: $tType]:(X0)).
% 17.46/2.73 thf(func_def_25, type, sK11: ((b > b > a > a > $o) > b > b)).
% 17.46/2.73 thf(func_def_26, type, sK12: ((b > b > a > a > $o) > b > b)).
% 17.46/2.73 thf(func_def_27, type, sK13: (b > (b > b > a > a > a) > b)).
% 17.46/2.73 thf(func_def_28, type, sK14: (b > (b > b > a > a > a) > b)).
% 17.46/2.73 thf(func_def_29, type, sK15: ((b > a > a > b > a > a > $o) > (b > a > a > b > $o) > (b > $o) > b)).
% 17.46/2.73 thf(func_def_30, type, sK16: ((b > a > a > b > a > a > b) > (b > a > a > b > a > a > a) > (b > a > a > b > a > a > a) > (b > a > a > b > $o) > (b > $o) > b)).
% 17.46/2.73 thf(f1,conjecture,(
% 17.46/2.73 ! [X0 : (b > $o),X1 : (b > a > a > $o)] : (! [X2 : b] : ((X0 @ X2) => (! [X3 : a,X4 : a,X5 : a] : (((X1 @ X2 @ X4 @ X5) & (X1 @ X2 @ X3 @ X4)) => (X1 @ X2 @ X3 @ X5)) & ! [X3 : a,X4 : a] : ((X1 @ X2 @ X3 @ X4) => (X1 @ X2 @ X4 @ X3)))) => (! [X2 : (b > a),X4 : (b > a),X5 : (b > a)] : ((! [X3 : b] : ((X0 @ X3) => (X1 @ X3 @ (X4 @ X3) @ (X5 @ X3))) & ! [X3 : b] : ((X0 @ X3) => (X1 @ X3 @ (X2 @ X3) @ (X4 @ X3)))) => ! [X3 : b] : ((X0 @ X3) => (X1 @ X3 @ (X2 @ X3) @ (X5 @ X3)))) & ! [X2 : (b > a),X4 : (b > a)] : (! [X3 : b] : ((X0 @ X3) => (X1 @ X3 @ (X2 @ X3) @ (X4 @ X3))) => ! [X3 : b] : ((X0 @ X3) => (X1 @ X3 @ (X4 @ X3) @ (X2 @ X3))))))),
% 17.46/2.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM506_pme)).
% 17.46/2.73 thf(f2,negated_conjecture,(
% 17.46/2.73 ~ ! [X0 : (b > $o),X1 : (b > a > a > $o)] : (! [X2 : b] : ((X0 @ X2) => (! [X3 : a,X4 : a,X5 : a] : (((X1 @ X2 @ X4 @ X5) & (X1 @ X2 @ X3 @ X4)) => (X1 @ X2 @ X3 @ X5)) & ! [X3 : a,X4 : a] : ((X1 @ X2 @ X3 @ X4) => (X1 @ X2 @ X4 @ X3)))) => (! [X2 : (b > a),X4 : (b > a),X5 : (b > a)] : ((! [X3 : b] : ((X0 @ X3) => (X1 @ X3 @ (X4 @ X3) @ (X5 @ X3))) & ! [X3 : b] : ((X0 @ X3) => (X1 @ X3 @ (X2 @ X3) @ (X4 @ X3)))) => ! [X3 : b] : ((X0 @ X3) => (X1 @ X3 @ (X2 @ X3) @ (X5 @ X3)))) & ! [X2 : (b > a),X4 : (b > a)] : (! [X3 : b] : ((X0 @ X3) => (X1 @ X3 @ (X2 @ X3) @ (X4 @ X3))) => ! [X3 : b] : ((X0 @ X3) => (X1 @ X3 @ (X4 @ X3) @ (X2 @ X3))))))),
% 17.46/2.73 inference(negated_conjecture,[status(cth)],[f1])).
% 17.46/2.73 thf(f3,plain,(
% 17.46/2.73 ~ ! [X0 : (b > $o),X1 : (b > a > a > $o)] : (! [X2 : b] : ((X0 @ X2) => (! [X3 : a,X4 : a,X5 : a] : (((X1 @ X2 @ X4 @ X5) & (X1 @ X2 @ X3 @ X4)) => (X1 @ X2 @ X3 @ X5)) & ! [X6 : a,X7 : a] : ((X1 @ X2 @ X6 @ X7) => (X1 @ X2 @ X7 @ X6)))) => (! [X8 : (b > a),X9 : (b > a),X10 : (b > a)] : ((! [X11 : b] : ((X0 @ X11) => (X1 @ X11 @ (X9 @ X11) @ (X10 @ X11))) & ! [X12 : b] : ((X0 @ X12) => (X1 @ X12 @ (X8 @ X12) @ (X9 @ X12)))) => ! [X13 : b] : ((X0 @ X13) => (X1 @ X13 @ (X8 @ X13) @ (X10 @ X13)))) & ! [X14 : (b > a),X15 : (b > a)] : (! [X16 : b] : ((X0 @ X16) => (X1 @ X16 @ (X14 @ X16) @ (X15 @ X16))) => ! [X17 : b] : ((X0 @ X17) => (X1 @ X17 @ (X15 @ X17) @ (X14 @ X17))))))),
% 17.46/2.73 inference(rectify,[],[f2])).
% 17.46/2.73 thf(f4,plain,(
% 17.46/2.73 ~ ! [X0 : (b > $o),X1 : (b > a > a > $o)] : (! [X2 : b] : ((((X0 @ X2)) = $true) => (! [X3 : a,X4 : a,X5 : a] : (((((X1 @ X2 @ X4 @ X5)) = $true) & (((X1 @ X2 @ X3 @ X4)) = $true)) => (((X1 @ X2 @ X3 @ X5)) = $true)) & ! [X6 : a,X7 : a] : ((((X1 @ X2 @ X6 @ X7)) = $true) => (((X1 @ X2 @ X7 @ X6)) = $true)))) => (! [X8 : (b > a),X9 : (b > a),X10 : (b > a)] : ((! [X11 : b] : ((((X0 @ X11)) = $true) => (((X1 @ X11 @ (X9 @ X11) @ (X10 @ X11))) = $true)) & ! [X12 : b] : ((((X0 @ X12)) = $true) => (((X1 @ X12 @ (X8 @ X12) @ (X9 @ X12))) = $true))) => ! [X13 : b] : ((((X0 @ X13)) = $true) => (((X1 @ X13 @ (X8 @ X13) @ (X10 @ X13))) = $true))) & ! [X14 : (b > a),X15 : (b > a)] : (! [X16 : b] : ((((X0 @ X16)) = $true) => (((X1 @ X16 @ (X14 @ X16) @ (X15 @ X16))) = $true)) => ! [X17 : b] : ((((X0 @ X17)) = $true) => (((X1 @ X17 @ (X15 @ X17) @ (X14 @ X17))) = $true)))))),
% 17.46/2.73 inference(fool_elimination,[],[f3])).
% 17.46/2.73 thf(f5,plain,(
% 17.46/2.73 ? [X0 : (b > $o),X1 : (b > a > a > $o)] : ((? [X8 : (b > a),X9 : (b > a),X10 : (b > a)] : (? [X13 : b] : ((((X1 @ X13 @ (X8 @ X13) @ (X10 @ X13))) != $true) & (((X0 @ X13)) = $true)) & (! [X11 : b] : ((((X1 @ X11 @ (X9 @ X11) @ (X10 @ X11))) = $true) | (((X0 @ X11)) != $true)) & ! [X12 : b] : ((((X1 @ X12 @ (X8 @ X12) @ (X9 @ X12))) = $true) | (((X0 @ X12)) != $true)))) | ? [X14 : (b > a),X15 : (b > a)] : (? [X17 : b] : ((((X1 @ X17 @ (X15 @ X17) @ (X14 @ X17))) != $true) & (((X0 @ X17)) = $true)) & ! [X16 : b] : ((((X1 @ X16 @ (X14 @ X16) @ (X15 @ X16))) = $true) | (((X0 @ X16)) != $true)))) & ! [X2 : b] : ((! [X3 : a,X4 : a,X5 : a] : ((((X1 @ X2 @ X3 @ X5)) = $true) | ((((X1 @ X2 @ X4 @ X5)) != $true) | (((X1 @ X2 @ X3 @ X4)) != $true))) & ! [X6 : a,X7 : a] : ((((X1 @ X2 @ X7 @ X6)) = $true) | (((X1 @ X2 @ X6 @ X7)) != $true))) | (((X0 @ X2)) != $true)))),
% 17.46/2.73 inference(ennf_transformation,[],[f4])).
% 17.46/2.73 thf(f6,plain,(
% 17.46/2.73 ? [X0 : (b > $o),X1 : (b > a > a > $o)] : ((? [X8 : (b > a),X9 : (b > a),X10 : (b > a)] : (? [X13 : b] : ((((X1 @ X13 @ (X8 @ X13) @ (X10 @ X13))) != $true) & (((X0 @ X13)) = $true)) & ! [X11 : b] : ((((X1 @ X11 @ (X9 @ X11) @ (X10 @ X11))) = $true) | (((X0 @ X11)) != $true)) & ! [X12 : b] : ((((X1 @ X12 @ (X8 @ X12) @ (X9 @ X12))) = $true) | (((X0 @ X12)) != $true))) | ? [X14 : (b > a),X15 : (b > a)] : (? [X17 : b] : ((((X1 @ X17 @ (X15 @ X17) @ (X14 @ X17))) != $true) & (((X0 @ X17)) = $true)) & ! [X16 : b] : ((((X1 @ X16 @ (X14 @ X16) @ (X15 @ X16))) = $true) | (((X0 @ X16)) != $true)))) & ! [X2 : b] : ((! [X3 : a,X4 : a,X5 : a] : ((((X1 @ X2 @ X3 @ X5)) = $true) | (((X1 @ X2 @ X4 @ X5)) != $true) | (((X1 @ X2 @ X3 @ X4)) != $true)) & ! [X6 : a,X7 : a] : ((((X1 @ X2 @ X7 @ X6)) = $true) | (((X1 @ X2 @ X6 @ X7)) != $true))) | (((X0 @ X2)) != $true)))),
% 17.46/2.73 inference(flattening,[],[f5])).
% 17.46/2.73 thf(f7,definition,(
% 17.46/2.73 ! [X1 : (b > a > a > $o),X0 : (b > $o)] : (? [X8 : (b > a),X9 : (b > a),X10 : (b > a)] : (? [X13 : b] : ((((X1 @ X13 @ (X8 @ X13) @ (X10 @ X13))) != $true) & (((X0 @ X13)) = $true)) & ! [X11 : b] : ((((X1 @ X11 @ (X9 @ X11) @ (X10 @ X11))) = $true) | (((X0 @ X11)) != $true)) & ! [X12 : b] : ((((X1 @ X12 @ (X8 @ X12) @ (X9 @ X12))) = $true) | (((X0 @ X12)) != $true))) | ~ ($true = ((sP0 @ X0 @ X1))))),
% 17.46/2.73 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 17.46/2.73 thf(f8,plain,(
% 17.46/2.73 ? [X0 : (b > $o),X1 : (b > a > a > $o)] : ((($true = ((sP0 @ X0 @ X1))) | ? [X14 : (b > a),X15 : (b > a)] : (? [X17 : b] : ((((X1 @ X17 @ (X15 @ X17) @ (X14 @ X17))) != $true) & (((X0 @ X17)) = $true)) & ! [X16 : b] : ((((X1 @ X16 @ (X14 @ X16) @ (X15 @ X16))) = $true) | (((X0 @ X16)) != $true)))) & ! [X2 : b] : ((! [X3 : a,X4 : a,X5 : a] : ((((X1 @ X2 @ X3 @ X5)) = $true) | (((X1 @ X2 @ X4 @ X5)) != $true) | (((X1 @ X2 @ X3 @ X4)) != $true)) & ! [X6 : a,X7 : a] : ((((X1 @ X2 @ X7 @ X6)) = $true) | (((X1 @ X2 @ X6 @ X7)) != $true))) | (((X0 @ X2)) != $true)))),
% 17.46/2.73 inference(definition_folding,[],[f6,f7])).
% 17.46/2.73 thf(f9,plain,(
% 17.46/2.73 ! [X1 : (b > a > a > $o),X0 : (b > $o)] : (? [X8 : (b > a),X9 : (b > a),X10 : (b > a)] : (? [X13 : b] : ((((X1 @ X13 @ (X8 @ X13) @ (X10 @ X13))) != $true) & (((X0 @ X13)) = $true)) & ! [X11 : b] : ((((X1 @ X11 @ (X9 @ X11) @ (X10 @ X11))) = $true) | (((X0 @ X11)) != $true)) & ! [X12 : b] : ((((X1 @ X12 @ (X8 @ X12) @ (X9 @ X12))) = $true) | (((X0 @ X12)) != $true))) | ($true != ((sP0 @ X0 @ X1))))),
% 17.46/2.73 inference(nnf_transformation,[],[f7])).
% 17.46/2.73 thf(f10,plain,(
% 17.46/2.73 ! [X0 : (b > a > a > $o),X1 : (b > $o)] : (? [X2 : (b > a),X3 : (b > a),X4 : (b > a)] : (? [X5 : b] : (($true != ((X0 @ X5 @ (X2 @ X5) @ (X4 @ X5)))) & ($true = ((X1 @ X5)))) & ! [X6 : b] : (($true = ((X0 @ X6 @ (X3 @ X6) @ (X4 @ X6)))) | ($true != ((X1 @ X6)))) & ! [X7 : b] : (($true = ((X0 @ X7 @ (X2 @ X7) @ (X3 @ X7)))) | ($true != ((X1 @ X7))))) | ($true != ((sP0 @ X1 @ X0))))),
% 17.46/2.73 inference(rectify,[],[f9])).
% 17.46/2.73 thf(f11,plain,(
% 17.46/2.73 ! [X0 : (b > a > a > $o),X1 : (b > $o)] : (((($true != ((X0 @ (sK4 @ X1 @ X0) @ (sK1 @ X1 @ X0 @ (sK4 @ X1 @ X0)) @ (sK3 @ X1 @ X0 @ (sK4 @ X1 @ X0))))) & ($true = ((X1 @ (sK4 @ X1 @ X0))))) & ! [X6 : b] : (($true = ((X0 @ X6 @ (sK2 @ X1 @ X0 @ X6) @ (sK3 @ X1 @ X0 @ X6)))) | ($true != ((X1 @ X6)))) & ! [X7 : b] : (($true = ((X0 @ X7 @ (sK1 @ X1 @ X0 @ X7) @ (sK2 @ X1 @ X0 @ X7)))) | ($true != ((X1 @ X7))))) | ($true != ((sP0 @ X1 @ X0))))),
% 17.46/2.73 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])).
% 17.46/2.73 thf(f12,plain,(
% 17.46/2.73 ? [X0 : (b > $o),X1 : (b > a > a > $o)] : ((($true = ((sP0 @ X0 @ X1))) | ? [X2 : (b > a),X3 : (b > a)] : (? [X4 : b] : (($true != ((X1 @ X4 @ (X3 @ X4) @ (X2 @ X4)))) & ($true = ((X0 @ X4)))) & ! [X5 : b] : (($true = ((X1 @ X5 @ (X2 @ X5) @ (X3 @ X5)))) | ($true != ((X0 @ X5)))))) & ! [X6 : b] : ((! [X7 : a,X8 : a,X9 : a] : (($true = ((X1 @ X6 @ X7 @ X9))) | ($true != ((X1 @ X6 @ X8 @ X9))) | ($true != ((X1 @ X6 @ X7 @ X8)))) & ! [X10 : a,X11 : a] : (($true = ((X1 @ X6 @ X11 @ X10))) | ($true != ((X1 @ X6 @ X10 @ X11))))) | ($true != ((X0 @ X6)))))),
% 17.46/2.73 inference(rectify,[],[f8])).
% 17.46/2.73 thf(f13,plain,(
% 17.46/2.73 (($true = ((sP0 @ sK5 @ sK6))) | ((($true != ((sK6 @ sK9 @ (sK8 @ sK9) @ (sK7 @ sK9)))) & ($true = ((sK5 @ sK9)))) & ! [X5 : b] : (($true = ((sK6 @ X5 @ (sK7 @ X5) @ (sK8 @ X5)))) | ($true != ((sK5 @ X5)))))) & ! [X6 : b] : ((! [X7 : a,X8 : a,X9 : a] : (($true = ((sK6 @ X6 @ X7 @ X9))) | ($true != ((sK6 @ X6 @ X8 @ X9))) | ($true != ((sK6 @ X6 @ X7 @ X8)))) & ! [X10 : a,X11 : a] : (($true = ((sK6 @ X6 @ X11 @ X10))) | ($true != ((sK6 @ X6 @ X10 @ X11))))) | ($true != ((sK5 @ X6))))),
% 17.46/2.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8),skolemize(X4,sK9)],[f12])).
% 17.46/2.74 thf(f14,plain,(
% 17.46/2.74 ( ! [X0 : (b > a > a > $o),X1 : (b > $o),X7 : b] : (($true != ((sP0 @ X1 @ X0))) | ($true != ((X1 @ X7))) | ($true = ((X0 @ X7 @ (sK1 @ X1 @ X0 @ X7) @ (sK2 @ X1 @ X0 @ X7))))) )),
% 17.46/2.74 inference(cnf_transformation,[],[f11])).
% 17.46/2.74 thf(f15,plain,(
% 17.46/2.74 ( ! [X0 : (b > a > a > $o),X1 : (b > $o),X6 : b] : (($true != ((sP0 @ X1 @ X0))) | ($true != ((X1 @ X6))) | ($true = ((X0 @ X6 @ (sK2 @ X1 @ X0 @ X6) @ (sK3 @ X1 @ X0 @ X6))))) )),
% 17.46/2.74 inference(cnf_transformation,[],[f11])).
% 17.46/2.74 thf(f16,plain,(
% 17.46/2.74 ( ! [X0 : (b > a > a > $o),X1 : (b > $o)] : (($true != ((sP0 @ X1 @ X0))) | ($true = ((X1 @ (sK4 @ X1 @ X0))))) )),
% 17.46/2.74 inference(cnf_transformation,[],[f11])).
% 17.46/2.74 thf(f17,plain,(
% 17.46/2.74 ( ! [X0 : (b > a > a > $o),X1 : (b > $o)] : (($true != ((sP0 @ X1 @ X0))) | ($true != ((X0 @ (sK4 @ X1 @ X0) @ (sK1 @ X1 @ X0 @ (sK4 @ X1 @ X0)) @ (sK3 @ X1 @ X0 @ (sK4 @ X1 @ X0)))))) )),
% 17.46/2.74 inference(cnf_transformation,[],[f11])).
% 17.46/2.74 thf(f18,plain,(
% 17.46/2.74 ( ! [X10 : a,X11 : a,X6 : b] : (($true != ((sK5 @ X6))) | ($true != ((sK6 @ X6 @ X10 @ X11))) | ($true = ((sK6 @ X6 @ X11 @ X10)))) )),
% 17.46/2.74 inference(cnf_transformation,[],[f13])).
% 17.46/2.74 thf(f19,plain,(
% 17.46/2.74 ( ! [X8 : a,X6 : b,X9 : a,X7 : a] : (($true != ((sK5 @ X6))) | ($true != ((sK6 @ X6 @ X8 @ X9))) | ($true != ((sK6 @ X6 @ X7 @ X8))) | ($true = ((sK6 @ X6 @ X7 @ X9)))) )),
% 17.46/2.74 inference(cnf_transformation,[],[f13])).
% 17.46/2.74 thf(f20,plain,(
% 17.46/2.74 ( ! [X5 : b] : (($true = ((sP0 @ sK5 @ sK6))) | ($true = ((sK6 @ X5 @ (sK7 @ X5) @ (sK8 @ X5)))) | ($true != ((sK5 @ X5)))) )),
% 17.46/2.74 inference(cnf_transformation,[],[f13])).
% 17.46/2.74 thf(f21,plain,(
% 17.46/2.74 ($true = ((sP0 @ sK5 @ sK6))) | ($true = ((sK5 @ sK9)))),
% 17.46/2.74 inference(cnf_transformation,[],[f13])).
% 17.46/2.74 thf(f22,plain,(
% 17.46/2.74 ($true = ((sP0 @ sK5 @ sK6))) | ($true != ((sK6 @ sK9 @ (sK8 @ sK9) @ (sK7 @ sK9))))),
% 17.46/2.74 inference(cnf_transformation,[],[f13])).
% 17.46/2.74 thf(f24,definition,(
% 17.46/2.74 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 17.46/2.74 introduced(theory,[fool_exhaustiveness_axiom])).
% 17.46/2.74 thf(f26,definition,(
% 17.46/2.74 spl10_1 <=> ($true = ((sK5 @ sK9)))),
% 17.46/2.74 introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition])).
% 17.46/2.74 thf(f28,plain,(
% 17.46/2.74 ($true = ((sK5 @ sK9))) | ~spl10_1),
% 17.46/2.74 inference(avatar_component_clause,[],[f26])).
% 17.46/2.74 thf(f30,definition,(
% 17.46/2.74 spl10_2 <=> ($true = ((sP0 @ sK5 @ sK6)))),
% 17.46/2.74 introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition])).
% 17.46/2.74 thf(f31,plain,(
% 17.46/2.74 ($true != ((sP0 @ sK5 @ sK6))) | spl10_2),
% 17.46/2.74 inference(avatar_component_clause,[],[f30])).
% 17.46/2.74 thf(f32,plain,(
% 17.46/2.74 ($true = ((sP0 @ sK5 @ sK6))) | ~spl10_2),
% 17.46/2.74 inference(avatar_component_clause,[],[f30])).
% 17.46/2.74 thf(f33,plain,(
% 17.46/2.74 spl10_1 | spl10_2),
% 17.46/2.74 inference(avatar_split_clause,[],[f21,f30,f26])).
% 17.46/2.74 thf(f36,plain,(
% 17.46/2.74 ( ! [X2 : a,X0 : b,X1 : a] : (($true != $true) | ($true != ((sK6 @ X0 @ X1 @ X2))) | ($true = ((sK6 @ X0 @ X2 @ X1))) | ($false = ((sK5 @ X0)))) )),
% 17.46/2.74 inference(constrained_superposition,[],[f18,f24])).
% 17.46/2.74 thf(f38,plain,(
% 17.46/2.74 ( ! [X2 : a,X0 : b,X1 : a] : (($true != ((sK6 @ X0 @ X1 @ X2))) | ($true = ((sK6 @ X0 @ X2 @ X1))) | ($false = ((sK5 @ X0)))) )),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f36])).
% 17.46/2.74 thf(f43,plain,(
% 17.46/2.74 ( ! [X2 : a,X0 : b,X1 : a] : (($true != $true) | ($true = ((sK6 @ X0 @ X2 @ X1))) | ($false = ((sK5 @ X0))) | ($false = ((sK6 @ X0 @ X1 @ X2)))) )),
% 17.46/2.74 inference(constrained_superposition,[],[f38,f24])).
% 17.46/2.74 thf(f44,plain,(
% 17.46/2.74 ( ! [X2 : a,X0 : b,X1 : a] : (($true = ((sK6 @ X0 @ X2 @ X1))) | ($false = ((sK6 @ X0 @ X1 @ X2))) | ($false = ((sK5 @ X0)))) )),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f43])).
% 17.46/2.74 thf(f59,plain,(
% 17.46/2.74 ( ! [X2 : a,X3 : a,X0 : b,X1 : a] : (($true != $true) | ($true != ((sK6 @ X0 @ X1 @ X2))) | ($true != ((sK6 @ X0 @ X3 @ X1))) | ($true = ((sK6 @ X0 @ X3 @ X2))) | ($false = ((sK5 @ X0)))) )),
% 17.46/2.74 inference(constrained_superposition,[],[f19,f24])).
% 17.46/2.74 thf(f60,plain,(
% 17.46/2.74 ( ! [X2 : a,X3 : a,X0 : b,X1 : a] : (($true != ((sK6 @ X0 @ X3 @ X1))) | ($true != ((sK6 @ X0 @ X1 @ X2))) | ($true = ((sK6 @ X0 @ X3 @ X2))) | ($false = ((sK5 @ X0)))) )),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f59])).
% 17.46/2.74 thf(f68,plain,(
% 17.46/2.74 ($true != $true) | ($true = ((sK5 @ (sK4 @ sK5 @ sK6)))) | ~spl10_2),
% 17.46/2.74 inference(constrained_superposition,[],[f16,f32])).
% 17.46/2.74 thf(f71,plain,(
% 17.46/2.74 ($true = ((sK5 @ (sK4 @ sK5 @ sK6)))) | ~spl10_2),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f68])).
% 17.46/2.74 thf(f76,plain,(
% 17.46/2.74 ( ! [X0 : b] : (($true != $true) | ($true != ((sK5 @ X0))) | ($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6 @ X0) @ (sK2 @ sK5 @ sK6 @ X0))))) ) | ~spl10_2),
% 17.46/2.74 inference(constrained_superposition,[],[f14,f32])).
% 17.46/2.74 thf(f79,plain,(
% 17.46/2.74 ( ! [X0 : b] : (($true != ((sK5 @ X0))) | ($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6 @ X0) @ (sK2 @ sK5 @ sK6 @ X0))))) ) | ~spl10_2),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f76])).
% 17.46/2.74 thf(f87,plain,(
% 17.46/2.74 ( ! [X0 : b] : (($true != $true) | ($true != ((sK5 @ X0))) | ($true = ((sK6 @ X0 @ (sK2 @ sK5 @ sK6 @ X0) @ (sK3 @ sK5 @ sK6 @ X0))))) ) | ~spl10_2),
% 17.46/2.74 inference(constrained_superposition,[],[f15,f32])).
% 17.46/2.74 thf(f90,plain,(
% 17.46/2.74 ( ! [X0 : b] : (($true != ((sK5 @ X0))) | ($true = ((sK6 @ X0 @ (sK2 @ sK5 @ sK6 @ X0) @ (sK3 @ sK5 @ sK6 @ X0))))) ) | ~spl10_2),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f87])).
% 17.46/2.74 thf(f98,plain,(
% 17.46/2.74 ($true != $true) | ($true != ((sK6 @ (sK4 @ sK5 @ sK6) @ (sK1 @ sK5 @ sK6 @ (sK4 @ sK5 @ sK6)) @ (sK3 @ sK5 @ sK6 @ (sK4 @ sK5 @ sK6))))) | ~spl10_2),
% 17.46/2.74 inference(constrained_superposition,[],[f17,f32])).
% 17.46/2.74 thf(f101,plain,(
% 17.46/2.74 ($true != ((sK6 @ (sK4 @ sK5 @ sK6) @ (sK1 @ sK5 @ sK6 @ (sK4 @ sK5 @ sK6)) @ (sK3 @ sK5 @ sK6 @ (sK4 @ sK5 @ sK6))))) | ~spl10_2),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f98])).
% 17.46/2.74 thf(f167,plain,(
% 17.46/2.74 ( ! [X0 : b] : (($true != $true) | ($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6 @ X0) @ (sK2 @ sK5 @ sK6 @ X0)))) | ($false = ((sK5 @ X0)))) ) | ~spl10_2),
% 17.46/2.74 inference(constrained_superposition,[],[f79,f24])).
% 17.46/2.74 thf(f168,plain,(
% 17.46/2.74 ( ! [X0 : b] : (($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6 @ X0) @ (sK2 @ sK5 @ sK6 @ X0)))) | ($false = ((sK5 @ X0)))) ) | ~spl10_2),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f167])).
% 17.46/2.74 thf(f263,plain,(
% 17.46/2.74 ($true != $true) | ($true = ((sK6 @ (sK4 @ sK5 @ sK6) @ (sK2 @ sK5 @ sK6 @ (sK4 @ sK5 @ sK6)) @ (sK3 @ sK5 @ sK6 @ (sK4 @ sK5 @ sK6))))) | ~spl10_2),
% 17.46/2.74 inference(constrained_superposition,[],[f90,f71])).
% 17.46/2.74 thf(f266,plain,(
% 17.46/2.74 ($true = ((sK6 @ (sK4 @ sK5 @ sK6) @ (sK2 @ sK5 @ sK6 @ (sK4 @ sK5 @ sK6)) @ (sK3 @ sK5 @ sK6 @ (sK4 @ sK5 @ sK6))))) | ~spl10_2),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f263])).
% 17.46/2.74 thf(f1030,plain,(
% 17.46/2.74 ( ! [X0 : b,X1 : a] : (($true != $true) | ($true != ((sK6 @ X0 @ (sK2 @ sK5 @ sK6 @ X0) @ X1))) | ($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6 @ X0) @ X1))) | ($false = ((sK5 @ X0))) | ($false = ((sK5 @ X0)))) ) | ~spl10_2),
% 17.46/2.74 inference(constrained_superposition,[],[f60,f168])).
% 17.46/2.74 thf(f1069,plain,(
% 17.46/2.74 ( ! [X0 : b,X1 : a] : (($true != $true) | ($true != ((sK6 @ X0 @ (sK2 @ sK5 @ sK6 @ X0) @ X1))) | ($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6 @ X0) @ X1))) | ($false = ((sK5 @ X0)))) ) | ~spl10_2),
% 17.46/2.74 inference(duplicate_literal_removal,[],[f1030])).
% 17.46/2.74 thf(f1070,plain,(
% 17.46/2.74 ( ! [X0 : b,X1 : a] : (($true != ((sK6 @ X0 @ (sK2 @ sK5 @ sK6 @ X0) @ X1))) | ($true = ((sK6 @ X0 @ (sK1 @ sK5 @ sK6 @ X0) @ X1))) | ($false = ((sK5 @ X0)))) ) | ~spl10_2),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f1069])).
% 17.46/2.74 thf(f11273,plain,(
% 17.46/2.74 ($true != $true) | ($true = ((sK6 @ (sK4 @ sK5 @ sK6) @ (sK1 @ sK5 @ sK6 @ (sK4 @ sK5 @ sK6)) @ (sK3 @ sK5 @ sK6 @ (sK4 @ sK5 @ sK6))))) | ($false = ((sK5 @ (sK4 @ sK5 @ sK6)))) | ~spl10_2),
% 17.46/2.74 inference(constrained_superposition,[],[f1070,f266])).
% 17.46/2.74 thf(f11313,plain,(
% 17.46/2.74 ($true = ((sK6 @ (sK4 @ sK5 @ sK6) @ (sK1 @ sK5 @ sK6 @ (sK4 @ sK5 @ sK6)) @ (sK3 @ sK5 @ sK6 @ (sK4 @ sK5 @ sK6))))) | ($false = ((sK5 @ (sK4 @ sK5 @ sK6)))) | ~spl10_2),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f11273])).
% 17.46/2.74 thf(f11385,plain,(
% 17.46/2.74 ($false = ((sK5 @ (sK4 @ sK5 @ sK6)))) | ~spl10_2),
% 17.46/2.74 inference(forward_subsumption_resolution,[],[f11313,f101])).
% 17.46/2.74 thf(f11399,plain,(
% 17.46/2.74 ($true = $false) | ~spl10_2),
% 17.46/2.74 inference(constrained_superposition,[],[f11385,f71])).
% 17.46/2.74 thf(f11498,plain,(
% 17.46/2.74 $false | ~spl10_2),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f11399])).
% 17.46/2.74 thf(f11499,plain,(
% 17.46/2.74 ~spl10_2),
% 17.46/2.74 inference(avatar_contradiction_clause,[],[f11498])).
% 17.46/2.74 thf(f11607,plain,(
% 17.46/2.74 ($true != ((sK6 @ sK9 @ (sK8 @ sK9) @ (sK7 @ sK9)))) | spl10_2),
% 17.46/2.74 inference(forward_subsumption_resolution,[],[f22,f31])).
% 17.46/2.74 thf(f11684,plain,(
% 17.46/2.74 ($true != $true) | ($false = ((sK6 @ sK9 @ (sK7 @ sK9) @ (sK8 @ sK9)))) | (((sK5 @ sK9)) = $false) | spl10_2),
% 17.46/2.74 inference(constrained_superposition,[],[f11607,f44])).
% 17.46/2.74 thf(f11771,plain,(
% 17.46/2.74 ($false = ((sK6 @ sK9 @ (sK7 @ sK9) @ (sK8 @ sK9)))) | (((sK5 @ sK9)) = $false) | spl10_2),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f11684])).
% 17.46/2.74 thf(f11794,plain,(
% 17.46/2.74 ($true = $false) | ($false = ((sK6 @ sK9 @ (sK7 @ sK9) @ (sK8 @ sK9)))) | (~spl10_1 | spl10_2)),
% 17.46/2.74 inference(forward_demodulation,[],[f11771,f28])).
% 17.46/2.74 thf(f11795,plain,(
% 17.46/2.74 ($false = ((sK6 @ sK9 @ (sK7 @ sK9) @ (sK8 @ sK9)))) | (~spl10_1 | spl10_2)),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f11794])).
% 17.46/2.74 thf(f11974,plain,(
% 17.46/2.74 ( ! [X5 : b] : (($true != ((sK5 @ X5))) | ($true = ((sK6 @ X5 @ (sK7 @ X5) @ (sK8 @ X5))))) ) | spl10_2),
% 17.46/2.74 inference(forward_subsumption_resolution,[],[f20,f31])).
% 17.46/2.74 thf(f12155,plain,(
% 17.46/2.74 ($true != $true) | ($true = ((sK6 @ sK9 @ (sK7 @ sK9) @ (sK8 @ sK9)))) | (~spl10_1 | spl10_2)),
% 17.46/2.74 inference(constrained_superposition,[],[f11974,f28])).
% 17.46/2.74 thf(f12158,plain,(
% 17.46/2.74 ($true = ((sK6 @ sK9 @ (sK7 @ sK9) @ (sK8 @ sK9)))) | (~spl10_1 | spl10_2)),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f12155])).
% 17.46/2.74 thf(f12170,plain,(
% 17.46/2.74 ($true = $false) | (~spl10_1 | spl10_2)),
% 17.46/2.74 inference(forward_demodulation,[],[f12158,f11795])).
% 17.46/2.74 thf(f12171,plain,(
% 17.46/2.74 $false | (~spl10_1 | spl10_2)),
% 17.46/2.74 inference(trivial_inequality_removal,[],[f12170])).
% 17.46/2.74 thf(f12172,plain,(
% 17.46/2.74 ~spl10_1 | spl10_2),
% 17.46/2.74 inference(avatar_contradiction_clause,[],[f12171])).
% 17.46/2.74 cnf(s1, plain, spl10_1 | spl10_2, inference(sat_conversion,[],[f33])).
% 17.46/2.74 cnf(s3, plain, ~spl10_2, inference(sat_conversion,[],[f11499])).
% 17.46/2.74 cnf(s4, plain, ~spl10_1 | spl10_2, inference(sat_conversion,[],[f12172])).
% 17.46/2.74 cnf(s5, plain, ~spl10_1, inference(rat,[],[s4,s3])).
% 17.46/2.74 cnf(s6, plain, $false, inference(rat,[],[s1,s3,s5])).
% 17.46/2.74 thf(f12173,plain,(
% 17.46/2.74 $false),
% 17.46/2.74 inference(avatar_sat_refutation,[],[s6])).
% 17.46/2.74 % SZS output end Proof for theBenchmark
% 17.46/2.74 % (3637949)------------------------------
% 17.46/2.74 % (3637949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.74 % (3637949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.74 % (3637949)CaDiCaL version: 2.1.3
% 17.46/2.74 % (3637949)Termination reason: Refutation
% 17.46/2.74 % (3637949)Time elapsed: 1.966 s
% 17.46/2.74 % (3637949)Peak memory usage: 19 MB
% 17.46/2.74 % (3637949)Instructions burned: 3200 (million)
% 17.46/2.74 % (3637905)Success in time 2.51 s
% 17.46/2.74 % Vampire exiting
%------------------------------------------------------------------------------