%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV046^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 30.46s 9.63s
% Output : Refutation 30.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV046^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n014.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 15:05:00 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.13/1.00 % (2780882)Will run a generic schedule for satisfiability detection.
% 4.13/1.00 % (2780887)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=513108122_2999 on theBenchmark for (2999ds/0Mi)
% 4.13/1.00 % Exception at run slice level
% 4.13/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.13/1.00 % (2780888)% WARNING: option uhcvi not known.
% 4.13/1.00 % (2780888)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=152654297:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.13/1.00 % (2780892)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3779067993:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.13/1.00 % (2780889)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1009164189:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.13/1.00 % (2780890)dis+10_1_sil=32000:sp=arity:random_seed=3667293414:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.13/1.00 % (2780893)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=570166286:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.13/1.00 % (2780888)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.13/1.00 % (2780888)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.13/1.00 % (2780895)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4017876803:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.13/1.00 % Exception at run slice level
% 4.13/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.13/1.00 % (2780891)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=639663810:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.13/1.00 % (2780891)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.13/1.00 % (2780902)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=757914896:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.13/1.00 % (2780890)Instruction limit reached!
% 4.13/1.00 % (2780890)------------------------------
% 4.13/1.00 % (2780890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/1.00 % (2780890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.00 % (2780890)CaDiCaL version: 2.1.3
% 4.13/1.00 % (2780890)Termination reason: Instruction limit
% 4.13/1.00 % (2780890)Termination phase: Saturation
% 4.13/1.00 % (2780890)Time elapsed: 0.050 s
% 4.13/1.00 % (2780890)Peak memory usage: 12 MB
% 4.13/1.00 % (2780890)Instructions burned: 105 (million)
% 4.13/1.00 % (2780902)Instruction limit reached!
% 4.13/1.00 % (2780902)------------------------------
% 4.13/1.00 % (2780902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/1.00 % (2780902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.00 % (2780902)CaDiCaL version: 2.1.3
% 4.13/1.00 % (2780902)Termination reason: Instruction limit
% 4.13/1.00 % (2780902)Termination phase: Saturation
% 4.13/1.00 % (2780902)Time elapsed: 0.034 s
% 4.13/1.00 % (2780902)Peak memory usage: 12 MB
% 4.13/1.00 % (2780902)Instructions burned: 135 (million)
% 4.13/1.00 % (2780906)ott-21_1_sil=16000:fs=off:random_seed=1555316381:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.13/1.00 % (2780892)Instruction limit reached!
% 4.13/1.00 % (2780892)------------------------------
% 4.13/1.00 % (2780892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/1.00 % (2780892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.00 % (2780892)CaDiCaL version: 2.1.3
% 4.13/1.00 % (2780892)Termination reason: Instruction limit
% 4.13/1.00 % (2780892)Termination phase: Saturation
% 4.13/1.00 % (2780892)Time elapsed: 0.063 s
% 4.13/1.00 % (2780892)Peak memory usage: 12 MB
% 4.13/1.00 % (2780892)Instructions burned: 132 (million)
% 4.13/1.00 % (2780905)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=1644937117:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.13/1.00 % (2780893)Instruction limit reached!
% 4.13/1.00 % (2780893)------------------------------
% 4.13/1.00 % (2780893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/1.00 % (2780893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.65 % (2780893)CaDiCaL version: 2.1.3
% 16.29/2.65 % (2780893)Termination reason: Instruction limit
% 16.29/2.65 % (2780893)Termination phase: Saturation
% 16.29/2.65 % (2780893)Time elapsed: 0.070 s
% 16.29/2.65 % (2780893)Peak memory usage: 12 MB
% 16.29/2.65 % (2780893)Instructions burned: 160 (million)
% 16.29/2.65 % (2780905)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.29/2.65 % (2780905)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.29/2.65 % (2780908)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1648452133:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 16.29/2.65 % (2780891)Instruction limit reached!
% 16.29/2.65 % (2780891)------------------------------
% 16.29/2.65 % (2780891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.65 % (2780891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.65 % (2780891)CaDiCaL version: 2.1.3
% 16.29/2.65 % (2780891)Termination reason: Instruction limit
% 16.29/2.65 % (2780891)Termination phase: Saturation
% 16.29/2.65 % (2780891)Time elapsed: 0.075 s
% 16.29/2.65 % (2780891)Peak memory usage: 12 MB
% 16.29/2.65 % (2780891)Instructions burned: 116 (million)
% 16.29/2.65 % (2780910)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3693472936:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 16.29/2.65 % Exception at run slice level
% 16.29/2.65 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.29/2.65 % (2780906)Instruction limit reached!
% 16.29/2.65 % (2780906)------------------------------
% 16.29/2.65 % (2780906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.65 % (2780906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.65 % (2780906)CaDiCaL version: 2.1.3
% 16.29/2.65 % (2780906)Termination reason: Instruction limit
% 16.29/2.65 % (2780906)Termination phase: Saturation
% 16.29/2.65 % (2780906)Time elapsed: 0.043 s
% 16.29/2.65 % (2780906)Peak memory usage: 12 MB
% 16.29/2.65 % (2780906)Instructions burned: 182 (million)
% 16.29/2.65 % (2780913)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2721791136:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 16.29/2.65 % (2780914)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=111580105:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 16.29/2.65 % Exception at run slice level
% 16.29/2.65 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.29/2.65 % (2780915)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=3478217648: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)
% 16.29/2.65 % (2780915)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.29/2.65 % (2780918)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2484567025:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 16.29/2.65 % (2780918)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.29/2.65 % (2780915)Instruction limit reached!
% 16.29/2.65 % (2780915)------------------------------
% 16.29/2.65 % (2780915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.65 % (2780915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.65 % (2780915)CaDiCaL version: 2.1.3
% 16.29/2.65 % (2780915)Termination reason: Instruction limit
% 16.29/2.65 % (2780915)Termination phase: Saturation
% 16.29/2.65 % (2780915)Time elapsed: 0.162 s
% 16.29/2.65 % (2780915)Peak memory usage: 16 MB
% 16.29/2.65 % (2780915)Instructions burned: 697 (million)
% 16.29/2.65 % (2780921)fmb+10_1_sil=64000:random_seed=1992986353:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 16.29/2.65 % (2780921)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.29/2.65 % Exception at run slice level
% 16.29/2.65 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.29/2.65 % (2780923)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1488091655:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 16.29/2.65 % Exception at run slice level
% 16.29/2.65 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 42.22/6.23 % (2780925)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1293031035:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 42.22/6.23 % Exception at run slice level
% 42.22/6.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 42.22/6.23 % (2780927)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1929660818:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 42.22/6.23 % (2780927)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 42.22/6.23 % (2780908)Instruction limit reached!
% 42.22/6.23 % (2780908)------------------------------
% 42.22/6.23 % (2780908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.22/6.23 % (2780908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.22/6.23 % (2780908)CaDiCaL version: 2.1.3
% 42.22/6.23 % (2780908)Termination reason: Instruction limit
% 42.22/6.23 % (2780908)Termination phase: Saturation
% 42.22/6.23 % (2780908)Time elapsed: 0.244 s
% 42.22/6.23 % (2780908)Peak memory usage: 13 MB
% 42.22/6.23 % (2780908)Instructions burned: 478 (million)
% 42.22/6.23 % (2780929)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=620092143:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 42.22/6.23 % (2780929)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 42.22/6.23 % (2780929)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 42.22/6.23 % (2780905)Instruction limit reached!
% 42.22/6.23 % (2780905)------------------------------
% 42.22/6.23 % (2780905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.22/6.23 % (2780905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.22/6.23 % (2780905)CaDiCaL version: 2.1.3
% 42.22/6.23 % (2780905)Termination reason: Instruction limit
% 42.22/6.23 % (2780905)Termination phase: Saturation
% 42.22/6.23 % (2780905)Time elapsed: 0.298 s
% 42.22/6.23 % (2780905)Peak memory usage: 14 MB
% 42.22/6.23 % (2780905)Instructions burned: 685 (million)
% 42.22/6.23 % (2780931)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4019241072:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 42.22/6.23 % Exception at run slice level
% 42.22/6.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 42.22/6.23 % (2780933)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=480852067:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 42.22/6.23 % Exception at run slice level
% 42.22/6.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 42.22/6.23 % (2780935)ott-2_1_sil=16000:newcnf=on:random_seed=910667452:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 42.22/6.23 % (2780935)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 42.22/6.23 % (2780918)Instruction limit reached!
% 42.22/6.23 % (2780918)------------------------------
% 42.22/6.23 % (2780918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.22/6.23 % (2780918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.22/6.23 % (2780918)CaDiCaL version: 2.1.3
% 42.22/6.23 % (2780918)Termination reason: Instruction limit
% 42.22/6.23 % (2780918)Termination phase: Saturation
% 42.22/6.23 % (2780918)Time elapsed: 0.434 s
% 42.22/6.23 % (2780918)Peak memory usage: 14 MB
% 42.22/6.23 % (2780918)Instructions burned: 879 (million)
% 42.22/6.23 % (2780937)ott+10_1_sil=32000:tgt=ground:random_seed=2242565784:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 42.22/6.23 % (2780913)Instruction limit reached!
% 42.22/6.23 % (2780913)------------------------------
% 42.22/6.23 % (2780913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.22/6.23 % (2780913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.22/6.23 % (2780913)CaDiCaL version: 2.1.3
% 42.22/6.23 % (2780913)Termination reason: Instruction limit
% 42.22/6.23 % (2780913)Termination phase: Saturation
% 42.22/6.23 % (2780913)Time elapsed: 0.625 s
% 42.22/6.23 % (2780913)Peak memory usage: 17 MB
% 42.22/6.23 % (2780913)Instructions burned: 1181 (million)
% 42.22/6.23 % (2780939)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=852780490:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 42.22/6.23 % Exception at run slice level
% 42.22/6.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.46/9.63 % (2780941)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1470522974:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 30.46/9.63 % (2780941)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 30.46/9.63 % (2780935)Instruction limit reached!
% 30.46/9.63 % (2780935)------------------------------
% 30.46/9.63 % (2780935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780935)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780935)Termination reason: Instruction limit
% 30.46/9.63 % (2780935)Termination phase: Saturation
% 30.46/9.63 % (2780935)Time elapsed: 0.419 s
% 30.46/9.63 % (2780935)Peak memory usage: 38 MB
% 30.46/9.63 % (2780935)Instructions burned: 869 (million)
% 30.46/9.63 % (2780943)dis+21_1_sil=32000:sas=cadical:random_seed=733672330:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 30.46/9.63 % (2780929)Instruction limit reached!
% 30.46/9.63 % (2780929)------------------------------
% 30.46/9.63 % (2780929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780929)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780929)Termination reason: Instruction limit
% 30.46/9.63 % (2780929)Termination phase: Saturation
% 30.46/9.63 % (2780929)Time elapsed: 0.572 s
% 30.46/9.63 % (2780929)Peak memory usage: 13 MB
% 30.46/9.63 % (2780929)Instructions burned: 1481 (million)
% 30.46/9.63 % (2780945)ott+11_1_sil=16000:gs=on:random_seed=3209442808:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2990 on theBenchmark for (2990ds/2251Mi)
% 30.46/9.63 % (2780945)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 30.46/9.63 % (2780927)Instruction limit reached!
% 30.46/9.63 % (2780927)------------------------------
% 30.46/9.63 % (2780927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780927)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780927)Termination reason: Instruction limit
% 30.46/9.63 % (2780927)Termination phase: Saturation
% 30.46/9.63 % (2780927)Time elapsed: 1.147 s
% 30.46/9.63 % (2780927)Peak memory usage: 21 MB
% 30.46/9.63 % (2780927)Instructions burned: 5132 (million)
% 30.46/9.63 % (2780947)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3321624996:fmbsr=1.6:i=67534_2984 on theBenchmark for (2984ds/67534Mi)
% 30.46/9.63 % Exception at run slice level
% 30.46/9.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.46/9.63 % (2780949)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=853076636:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2984 on theBenchmark for (2984ds/4591Mi)
% 30.46/9.63 % (2780945)Instruction limit reached!
% 30.46/9.63 % (2780945)------------------------------
% 30.46/9.63 % (2780945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780945)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780945)Termination reason: Instruction limit
% 30.46/9.63 % (2780945)Termination phase: Saturation
% 30.46/9.63 % (2780945)Time elapsed: 0.892 s
% 30.46/9.63 % (2780945)Peak memory usage: 17 MB
% 30.46/9.63 % (2780945)Instructions burned: 2252 (million)
% 30.46/9.63 % (2780951)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4221902152:i=29340_2981 on theBenchmark for (2981ds/29340Mi)
% 30.46/9.63 % (2780949)Instruction limit reached!
% 30.46/9.63 % (2780949)------------------------------
% 30.46/9.63 % (2780949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780949)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780949)Termination reason: Instruction limit
% 30.46/9.63 % (2780949)Termination phase: Saturation
% 30.46/9.63 % (2780949)Time elapsed: 0.896 s
% 30.46/9.63 % (2780949)Peak memory usage: 13 MB
% 30.46/9.63 % (2780949)Instructions burned: 4593 (million)
% 30.46/9.63 % (2780953)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2382033154:i=5211_2975 on theBenchmark for (2975ds/5211Mi)
% 30.46/9.63 % (2780943)Instruction limit reached!
% 30.46/9.63 % (2780943)------------------------------
% 30.46/9.63 % (2780943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780943)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780943)Termination reason: Instruction limit
% 30.46/9.63 % (2780943)Termination phase: Saturation
% 30.46/9.63 % (2780943)Time elapsed: 1.658 s
% 30.46/9.63 % (2780943)Peak memory usage: 21 MB
% 30.46/9.63 % (2780943)Instructions burned: 3773 (million)
% 30.46/9.63 % (2780955)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=791335355:i=5497:nm=2_2974 on theBenchmark for (2974ds/5497Mi)
% 30.46/9.63 % Exception at run slice level
% 30.46/9.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.46/9.63 % (2780957)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2074840854:fmbsr=2:i=46332_2974 on theBenchmark for (2974ds/46332Mi)
% 30.46/9.63 % Exception at run slice level
% 30.46/9.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.46/9.63 % (2780959)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=849943286:i=14071_2973 on theBenchmark for (2973ds/14071Mi)
% 30.46/9.63 % Exception at run slice level
% 30.46/9.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.46/9.63 % (2780961)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=498666323:i=22565:add=on:rawr=on_2973 on theBenchmark for (2973ds/22565Mi)
% 30.46/9.63 % (2780941)Instruction limit reached!
% 30.46/9.63 % (2780941)------------------------------
% 30.46/9.63 % (2780941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780941)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780941)Termination reason: Instruction limit
% 30.46/9.63 % (2780941)Termination phase: Saturation
% 30.46/9.63 % (2780941)Time elapsed: 1.823 s
% 30.46/9.63 % (2780941)Peak memory usage: 19 MB
% 30.46/9.63 % (2780941)Instructions burned: 3512 (million)
% 30.46/9.63 % (2780963)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1768256782:i=8173:av=off_2973 on theBenchmark for (2973ds/8173Mi)
% 30.46/9.63 % (2780937)Instruction limit reached!
% 30.46/9.63 % (2780937)------------------------------
% 30.46/9.63 % (2780937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780937)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780937)Termination reason: Instruction limit
% 30.46/9.63 % (2780937)Termination phase: Saturation
% 30.46/9.63 % (2780937)Time elapsed: 2.254 s
% 30.46/9.63 % (2780937)Peak memory usage: 34 MB
% 30.46/9.63 % (2780937)Instructions burned: 5115 (million)
% 30.46/9.63 % (2780965)dis+10_16:1_sil=16000:random_seed=3702679170:i=9155:fsr=off_2971 on theBenchmark for (2971ds/9155Mi)
% 30.46/9.63 % (2780953)Instruction limit reached!
% 30.46/9.63 % (2780953)------------------------------
% 30.46/9.63 % (2780953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780953)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780953)Termination reason: Instruction limit
% 30.46/9.63 % (2780953)Termination phase: Saturation
% 30.46/9.63 % (2780953)Time elapsed: 1.204 s
% 30.46/9.63 % (2780953)Peak memory usage: 26 MB
% 30.46/9.63 % (2780953)Instructions burned: 5212 (million)
% 30.46/9.63 % (2780967)ott-3_8_sil=64000:random_seed=2178561130:i=20139:bs=on_2963 on theBenchmark for (2963ds/20139Mi)
% 30.46/9.63 % (2780963)Instruction limit reached!
% 30.46/9.63 % (2780963)------------------------------
% 30.46/9.63 % (2780963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780963)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780963)Termination reason: Instruction limit
% 30.46/9.63 % (2780963)Termination phase: Saturation
% 30.46/9.63 % (2780963)Time elapsed: 3.328 s
% 30.46/9.63 % (2780963)Peak memory usage: 24 MB
% 30.46/9.63 % (2780963)Instructions burned: 8176 (million)
% 30.46/9.63 % (2780969)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3338225093:fmbsr=2:i=32576_2939 on theBenchmark for (2939ds/32576Mi)
% 30.46/9.63 % Exception at run slice level
% 30.46/9.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.46/9.63 % (2780971)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=563021283:i=11404_2939 on theBenchmark for (2939ds/11404Mi)
% 30.46/9.63 % (2780965)Instruction limit reached!
% 30.46/9.63 % (2780965)------------------------------
% 30.46/9.63 % (2780965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780965)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780965)Termination reason: Instruction limit
% 30.46/9.63 % (2780965)Termination phase: Saturation
% 30.46/9.63 % (2780965)Time elapsed: 3.902 s
% 30.46/9.63 % (2780965)Peak memory usage: 26 MB
% 30.46/9.63 % (2780965)Instructions burned: 9156 (million)
% 30.46/9.63 % (2780973)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2649958340:i=14134_2931 on theBenchmark for (2931ds/14134Mi)
% 30.46/9.63 % (2780973)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 30.46/9.63 % (2780967)Instruction limit reached!
% 30.46/9.63 % (2780967)------------------------------
% 30.46/9.63 % (2780967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780967)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780967)Termination reason: Instruction limit
% 30.46/9.63 % (2780967)Termination phase: Saturation
% 30.46/9.63 % (2780967)Time elapsed: 3.864 s
% 30.46/9.63 % (2780967)Peak memory usage: 17 MB
% 30.46/9.63 % (2780967)Instructions burned: 20141 (million)
% 30.46/9.63 % (2780975)dis+33_16_sil=32000:sac=on:random_seed=2062643161:i=15851:nm=0_2924 on theBenchmark for (2924ds/15851Mi)
% 30.46/9.63 % (2780975) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2780882-2780975"...
% 30.46/9.63 % (2780975)...printing done.
% 30.46/9.63 % (2780975)Refutation found. Thanks to Tanya!
% 30.46/9.63 % SZS status Theorem for theBenchmark
% 30.46/9.63 % SZS output start Proof for theBenchmark
% 30.46/9.63 thf(type_def_5, type, a: $tType).
% 30.46/9.63 thf(type_def_6, type, b: $tType).
% 30.46/9.63 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 30.46/9.63 thf(func_def_3, type, sK0: (a > a > $o)).
% 30.46/9.63 thf(func_def_4, type, sK1: (a > b > b > $o)).
% 30.46/9.63 thf(func_def_5, type, sK2: (a > b)).
% 30.46/9.63 thf(func_def_6, type, sK3: (a > b)).
% 30.46/9.63 thf(func_def_7, type, sK4: (a > b)).
% 30.46/9.63 thf(func_def_8, type, sK5: a).
% 30.46/9.63 thf(func_def_9, type, sK6: a).
% 30.46/9.63 thf(func_def_10, type, sK7: (a > b)).
% 30.46/9.63 thf(func_def_11, type, sK8: (a > b)).
% 30.46/9.63 thf(func_def_12, type, sK9: a).
% 30.46/9.63 thf(func_def_13, type, sK10: a).
% 30.46/9.63 thf(f1,conjecture,(
% 30.46/9.63 ! [X0 : (a > a > $o),X1 : (a > b > b > $o)] : ((! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) => (((X1 @ X2)) = ((X1 @ X3)))) & ! [X2 : a] : ((X0 @ X2 @ X2) => (! [X5 : b,X3 : b,X4 : b] : (((X1 @ X2 @ X3 @ X4) & (X1 @ X2 @ X5 @ X3)) => (X1 @ X2 @ X5 @ X4)) & ! [X5 : b,X3 : b] : ((X1 @ X2 @ X5 @ X3) => (X1 @ X2 @ X3 @ X5)))) & ! [X2 : a,X3 : a,X4 : a] : (((X0 @ X3 @ X4) & (X0 @ X2 @ X3)) => (X0 @ X2 @ X4)) & ! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) => (X0 @ X3 @ X2))) => (! [X2 : (a > b),X3 : (a > b),X4 : (a > b)] : ((! [X5 : a,X6 : a] : ((X0 @ X5 @ X6) => (X1 @ X5 @ (X3 @ X5) @ (X4 @ X6))) & ! [X5 : a,X6 : a] : ((X0 @ X5 @ X6) => (X1 @ X5 @ (X2 @ X5) @ (X3 @ X6)))) => ! [X5 : a,X6 : a] : ((X0 @ X5 @ X6) => (X1 @ X5 @ (X2 @ X5) @ (X4 @ X6)))) & ! [X2 : (a > b),X3 : (a > b)] : (! [X5 : a,X6 : a] : ((X0 @ X5 @ X6) => (X1 @ X5 @ (X2 @ X5) @ (X3 @ X6))) => ! [X5 : a,X6 : a] : ((X0 @ X5 @ X6) => (X1 @ X5 @ (X3 @ X5) @ (X2 @ X6))))))),
% 30.46/9.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM507_pme)).
% 30.46/9.63 thf(f2,negated_conjecture,(
% 30.46/9.63 ~ ! [X0 : (a > a > $o),X1 : (a > b > b > $o)] : ((! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) => (((X1 @ X2)) = ((X1 @ X3)))) & ! [X2 : a] : ((X0 @ X2 @ X2) => (! [X5 : b,X3 : b,X4 : b] : (((X1 @ X2 @ X3 @ X4) & (X1 @ X2 @ X5 @ X3)) => (X1 @ X2 @ X5 @ X4)) & ! [X5 : b,X3 : b] : ((X1 @ X2 @ X5 @ X3) => (X1 @ X2 @ X3 @ X5)))) & ! [X2 : a,X3 : a,X4 : a] : (((X0 @ X3 @ X4) & (X0 @ X2 @ X3)) => (X0 @ X2 @ X4)) & ! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) => (X0 @ X3 @ X2))) => (! [X2 : (a > b),X3 : (a > b),X4 : (a > b)] : ((! [X5 : a,X6 : a] : ((X0 @ X5 @ X6) => (X1 @ X5 @ (X3 @ X5) @ (X4 @ X6))) & ! [X5 : a,X6 : a] : ((X0 @ X5 @ X6) => (X1 @ X5 @ (X2 @ X5) @ (X3 @ X6)))) => ! [X5 : a,X6 : a] : ((X0 @ X5 @ X6) => (X1 @ X5 @ (X2 @ X5) @ (X4 @ X6)))) & ! [X2 : (a > b),X3 : (a > b)] : (! [X5 : a,X6 : a] : ((X0 @ X5 @ X6) => (X1 @ X5 @ (X2 @ X5) @ (X3 @ X6))) => ! [X5 : a,X6 : a] : ((X0 @ X5 @ X6) => (X1 @ X5 @ (X3 @ X5) @ (X2 @ X6))))))),
% 30.46/9.63 inference(negated_conjecture,[status(cth)],[f1])).
% 30.46/9.63 thf(f3,plain,(
% 30.46/9.63 ~ ! [X0 : (a > a > $o),X1 : (a > b > b > $o)] : ((! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) => (((X1 @ X2)) = ((X1 @ X3)))) & ! [X4 : a] : ((X0 @ X4 @ X4) => (! [X5 : b,X6 : b,X7 : b] : (((X1 @ X4 @ X6 @ X7) & (X1 @ X4 @ X5 @ X6)) => (X1 @ X4 @ X5 @ X7)) & ! [X8 : b,X9 : b] : ((X1 @ X4 @ X8 @ X9) => (X1 @ X4 @ X9 @ X8)))) & ! [X10 : a,X11 : a,X12 : a] : (((X0 @ X11 @ X12) & (X0 @ X10 @ X11)) => (X0 @ X10 @ X12)) & ! [X13 : a,X14 : a] : ((X0 @ X13 @ X14) => (X0 @ X14 @ X13))) => (! [X15 : (a > b),X16 : (a > b),X17 : (a > b)] : ((! [X18 : a,X19 : a] : ((X0 @ X18 @ X19) => (X1 @ X18 @ (X16 @ X18) @ (X17 @ X19))) & ! [X20 : a,X21 : a] : ((X0 @ X20 @ X21) => (X1 @ X20 @ (X15 @ X20) @ (X16 @ X21)))) => ! [X22 : a,X23 : a] : ((X0 @ X22 @ X23) => (X1 @ X22 @ (X15 @ X22) @ (X17 @ X23)))) & ! [X24 : (a > b),X25 : (a > b)] : (! [X26 : a,X27 : a] : ((X0 @ X26 @ X27) => (X1 @ X26 @ (X24 @ X26) @ (X25 @ X27))) => ! [X28 : a,X29 : a] : ((X0 @ X28 @ X29) => (X1 @ X28 @ (X25 @ X28) @ (X24 @ X29))))))),
% 30.46/9.63 inference(rectify,[],[f2])).
% 30.46/9.63 thf(f4,plain,(
% 30.46/9.63 ~ ! [X0 : (a > a > $o),X1 : (a > b > b > $o)] : ((! [X2 : a,X3 : a] : ((((X0 @ X2 @ X3)) = $true) => (((X1 @ X2)) = ((X1 @ X3)))) & ! [X4 : a] : ((((X0 @ X4 @ X4)) = $true) => (! [X5 : b,X6 : b,X7 : b] : (((((X1 @ X4 @ X6 @ X7)) = $true) & (((X1 @ X4 @ X5 @ X6)) = $true)) => (((X1 @ X4 @ X5 @ X7)) = $true)) & ! [X8 : b,X9 : b] : ((((X1 @ X4 @ X8 @ X9)) = $true) => (((X1 @ X4 @ X9 @ X8)) = $true)))) & ! [X10 : a,X11 : a,X12 : a] : (((((X0 @ X11 @ X12)) = $true) & (((X0 @ X10 @ X11)) = $true)) => (((X0 @ X10 @ X12)) = $true)) & ! [X13 : a,X14 : a] : ((((X0 @ X13 @ X14)) = $true) => (((X0 @ X14 @ X13)) = $true))) => (! [X15 : (a > b),X16 : (a > b),X17 : (a > b)] : ((! [X18 : a,X19 : a] : ((((X0 @ X18 @ X19)) = $true) => (((X1 @ X18 @ (X16 @ X18) @ (X17 @ X19))) = $true)) & ! [X20 : a,X21 : a] : ((((X0 @ X20 @ X21)) = $true) => (((X1 @ X20 @ (X15 @ X20) @ (X16 @ X21))) = $true))) => ! [X22 : a,X23 : a] : ((((X0 @ X22 @ X23)) = $true) => (((X1 @ X22 @ (X15 @ X22) @ (X17 @ X23))) = $true))) & ! [X24 : (a > b),X25 : (a > b)] : (! [X26 : a,X27 : a] : ((((X0 @ X26 @ X27)) = $true) => (((X1 @ X26 @ (X24 @ X26) @ (X25 @ X27))) = $true)) => ! [X28 : a,X29 : a] : ((((X0 @ X28 @ X29)) = $true) => (((X1 @ X28 @ (X25 @ X28) @ (X24 @ X29))) = $true)))))),
% 30.46/9.63 inference(fool_elimination,[],[f3])).
% 30.46/9.63 thf(f5,plain,(
% 30.46/9.63 ? [X0 : (a > a > $o),X1 : (a > b > b > $o)] : ((? [X15 : (a > b),X16 : (a > b),X17 : (a > b)] : (? [X22 : a,X23 : a] : ((((X1 @ X22 @ (X15 @ X22) @ (X17 @ X23))) != $true) & (((X0 @ X22 @ X23)) = $true)) & (! [X18 : a,X19 : a] : ((((X1 @ X18 @ (X16 @ X18) @ (X17 @ X19))) = $true) | (((X0 @ X18 @ X19)) != $true)) & ! [X20 : a,X21 : a] : ((((X1 @ X20 @ (X15 @ X20) @ (X16 @ X21))) = $true) | (((X0 @ X20 @ X21)) != $true)))) | ? [X24 : (a > b),X25 : (a > b)] : (? [X28 : a,X29 : a] : ((((X1 @ X28 @ (X25 @ X28) @ (X24 @ X29))) != $true) & (((X0 @ X28 @ X29)) = $true)) & ! [X26 : a,X27 : a] : ((((X1 @ X26 @ (X24 @ X26) @ (X25 @ X27))) = $true) | (((X0 @ X26 @ X27)) != $true)))) & (! [X2 : a,X3 : a] : ((((X1 @ X2)) = ((X1 @ X3))) | (((X0 @ X2 @ X3)) != $true)) & ! [X4 : a] : ((! [X5 : b,X6 : b,X7 : b] : ((((X1 @ X4 @ X5 @ X7)) = $true) | ((((X1 @ X4 @ X6 @ X7)) != $true) | (((X1 @ X4 @ X5 @ X6)) != $true))) & ! [X8 : b,X9 : b] : ((((X1 @ X4 @ X9 @ X8)) = $true) | (((X1 @ X4 @ X8 @ X9)) != $true))) | (((X0 @ X4 @ X4)) != $true)) & ! [X10 : a,X11 : a,X12 : a] : ((((X0 @ X10 @ X12)) = $true) | ((((X0 @ X11 @ X12)) != $true) | (((X0 @ X10 @ X11)) != $true))) & ! [X13 : a,X14 : a] : ((((X0 @ X14 @ X13)) = $true) | (((X0 @ X13 @ X14)) != $true))))),
% 30.46/9.63 inference(ennf_transformation,[],[f4])).
% 30.46/9.63 thf(f6,plain,(
% 30.46/9.63 ? [X0 : (a > a > $o),X1 : (a > b > b > $o)] : ((? [X15 : (a > b),X16 : (a > b),X17 : (a > b)] : (? [X22 : a,X23 : a] : ((((X1 @ X22 @ (X15 @ X22) @ (X17 @ X23))) != $true) & (((X0 @ X22 @ X23)) = $true)) & ! [X18 : a,X19 : a] : ((((X1 @ X18 @ (X16 @ X18) @ (X17 @ X19))) = $true) | (((X0 @ X18 @ X19)) != $true)) & ! [X20 : a,X21 : a] : ((((X1 @ X20 @ (X15 @ X20) @ (X16 @ X21))) = $true) | (((X0 @ X20 @ X21)) != $true))) | ? [X24 : (a > b),X25 : (a > b)] : (? [X28 : a,X29 : a] : ((((X1 @ X28 @ (X25 @ X28) @ (X24 @ X29))) != $true) & (((X0 @ X28 @ X29)) = $true)) & ! [X26 : a,X27 : a] : ((((X1 @ X26 @ (X24 @ X26) @ (X25 @ X27))) = $true) | (((X0 @ X26 @ X27)) != $true)))) & ! [X2 : a,X3 : a] : ((((X1 @ X2)) = ((X1 @ X3))) | (((X0 @ X2 @ X3)) != $true)) & ! [X4 : a] : ((! [X5 : b,X6 : b,X7 : b] : ((((X1 @ X4 @ X5 @ X7)) = $true) | (((X1 @ X4 @ X6 @ X7)) != $true) | (((X1 @ X4 @ X5 @ X6)) != $true)) & ! [X8 : b,X9 : b] : ((((X1 @ X4 @ X9 @ X8)) = $true) | (((X1 @ X4 @ X8 @ X9)) != $true))) | (((X0 @ X4 @ X4)) != $true)) & ! [X10 : a,X11 : a,X12 : a] : ((((X0 @ X10 @ X12)) = $true) | (((X0 @ X11 @ X12)) != $true) | (((X0 @ X10 @ X11)) != $true)) & ! [X13 : a,X14 : a] : ((((X0 @ X14 @ X13)) = $true) | (((X0 @ X13 @ X14)) != $true)))),
% 30.46/9.63 inference(flattening,[],[f5])).
% 30.46/9.63 thf(f7,plain,(
% 30.46/9.63 ? [X0 : (a > a > $o),X1 : (a > b > b > $o)] : ((? [X2 : (a > b),X3 : (a > b),X4 : (a > b)] : (? [X5 : a,X6 : a] : ((((X1 @ X5 @ (X2 @ X5) @ (X4 @ X6))) != $true) & (((X0 @ X5 @ X6)) = $true)) & ! [X7 : a,X8 : a] : (($true = ((X1 @ X7 @ (X3 @ X7) @ (X4 @ X8)))) | ($true != ((X0 @ X7 @ X8)))) & ! [X9 : a,X10 : a] : (($true = ((X1 @ X9 @ (X2 @ X9) @ (X3 @ X10)))) | ($true != ((X0 @ X9 @ X10))))) | ? [X11 : (a > b),X12 : (a > b)] : (? [X13 : a,X14 : a] : (($true != ((X1 @ X13 @ (X12 @ X13) @ (X11 @ X14)))) & (((X0 @ X13 @ X14)) = $true)) & ! [X15 : a,X16 : a] : (($true = ((X1 @ X15 @ (X11 @ X15) @ (X12 @ X16)))) | ($true != ((X0 @ X15 @ X16)))))) & ! [X17 : a,X18 : a] : ((((X1 @ X18)) = ((X1 @ X17))) | ($true != ((X0 @ X17 @ X18)))) & ! [X19 : a] : ((! [X20 : b,X21 : b,X22 : b] : (($true = ((X1 @ X19 @ X20 @ X22))) | ($true != ((X1 @ X19 @ X21 @ X22))) | ($true != ((X1 @ X19 @ X20 @ X21)))) & ! [X23 : b,X24 : b] : (($true = ((X1 @ X19 @ X24 @ X23))) | ($true != ((X1 @ X19 @ X23 @ X24))))) | ($true != ((X0 @ X19 @ X19)))) & ! [X25 : a,X26 : a,X27 : a] : (($true = ((X0 @ X25 @ X27))) | (((X0 @ X26 @ X27)) != $true) | ($true != ((X0 @ X25 @ X26)))) & ! [X28 : a,X29 : a] : (($true = ((X0 @ X29 @ X28))) | (((X0 @ X28 @ X29)) != $true)))),
% 30.46/9.63 inference(rectify,[],[f6])).
% 30.46/9.63 thf(f8,plain,(
% 30.46/9.63 (((($true != ((sK1 @ sK5 @ (sK2 @ sK5) @ (sK4 @ sK6)))) & ($true = ((sK0 @ sK5 @ sK6)))) & ! [X7 : a,X8 : a] : (($true = ((sK1 @ X7 @ (sK3 @ X7) @ (sK4 @ X8)))) | ($true != ((sK0 @ X7 @ X8)))) & ! [X9 : a,X10 : a] : (($true = ((sK1 @ X9 @ (sK2 @ X9) @ (sK3 @ X10)))) | ($true != ((sK0 @ X9 @ X10))))) | ((($true != ((sK1 @ sK9 @ (sK8 @ sK9) @ (sK7 @ sK10)))) & ($true = ((sK0 @ sK9 @ sK10)))) & ! [X15 : a,X16 : a] : (($true = ((sK1 @ X15 @ (sK7 @ X15) @ (sK8 @ X16)))) | ($true != ((sK0 @ X15 @ X16)))))) & ! [X17 : a,X18 : a] : ((((sK1 @ X18)) = ((sK1 @ X17))) | ($true != ((sK0 @ X17 @ X18)))) & ! [X19 : a] : ((! [X20 : b,X21 : b,X22 : b] : (($true = ((sK1 @ X19 @ X20 @ X22))) | ($true != ((sK1 @ X19 @ X21 @ X22))) | ($true != ((sK1 @ X19 @ X20 @ X21)))) & ! [X23 : b,X24 : b] : (($true = ((sK1 @ X19 @ X24 @ X23))) | ($true != ((sK1 @ X19 @ X23 @ X24))))) | ($true != ((sK0 @ X19 @ X19)))) & ! [X25 : a,X26 : a,X27 : a] : (($true = ((sK0 @ X25 @ X27))) | ($true != ((sK0 @ X26 @ X27))) | ($true != ((sK0 @ X25 @ X26)))) & ! [X28 : a,X29 : a] : (($true = ((sK0 @ X29 @ X28))) | ($true != ((sK0 @ X28 @ X29))))),
% 30.46/9.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X11,sK7),skolemize(X12,sK8),skolemize(X13,sK9),skolemize(X14,sK10)],[f7])).
% 30.46/9.63 thf(f9,plain,(
% 30.46/9.63 ( ! [X28 : a,X29 : a] : (($true != ((sK0 @ X28 @ X29))) | ($true = ((sK0 @ X29 @ X28)))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f10,plain,(
% 30.46/9.63 ( ! [X26 : a,X27 : a,X25 : a] : (($true != ((sK0 @ X25 @ X26))) | ($true != ((sK0 @ X26 @ X27))) | ($true = ((sK0 @ X25 @ X27)))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f11,plain,(
% 30.46/9.63 ( ! [X19 : a,X24 : b,X23 : b] : (($true != ((sK1 @ X19 @ X23 @ X24))) | ($true = ((sK1 @ X19 @ X24 @ X23))) | ($true != ((sK0 @ X19 @ X19)))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f12,plain,(
% 30.46/9.63 ( ! [X21 : b,X19 : a,X22 : b,X20 : b] : (($true != ((sK1 @ X19 @ X20 @ X21))) | ($true != ((sK1 @ X19 @ X21 @ X22))) | ($true = ((sK1 @ X19 @ X20 @ X22))) | ($true != ((sK0 @ X19 @ X19)))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f13,plain,(
% 30.46/9.63 ( ! [X18 : a,X17 : a] : (($true != ((sK0 @ X17 @ X18))) | (((sK1 @ X18)) = ((sK1 @ X17)))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f14,plain,(
% 30.46/9.63 ( ! [X10 : a,X9 : a,X16 : a,X15 : a] : (($true = ((sK1 @ X9 @ (sK2 @ X9) @ (sK3 @ X10)))) | ($true != ((sK0 @ X9 @ X10))) | ($true = ((sK1 @ X15 @ (sK7 @ X15) @ (sK8 @ X16)))) | ($true != ((sK0 @ X15 @ X16)))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f15,plain,(
% 30.46/9.63 ( ! [X10 : a,X9 : a] : (($true = ((sK1 @ X9 @ (sK2 @ X9) @ (sK3 @ X10)))) | ($true != ((sK0 @ X9 @ X10))) | ($true = ((sK0 @ sK9 @ sK10)))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f16,plain,(
% 30.46/9.63 ( ! [X10 : a,X9 : a] : (($true = ((sK1 @ X9 @ (sK2 @ X9) @ (sK3 @ X10)))) | ($true != ((sK0 @ X9 @ X10))) | ($true != ((sK1 @ sK9 @ (sK8 @ sK9) @ (sK7 @ sK10))))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f17,plain,(
% 30.46/9.63 ( ! [X8 : a,X7 : a,X16 : a,X15 : a] : (($true = ((sK1 @ X7 @ (sK3 @ X7) @ (sK4 @ X8)))) | ($true != ((sK0 @ X7 @ X8))) | ($true = ((sK1 @ X15 @ (sK7 @ X15) @ (sK8 @ X16)))) | ($true != ((sK0 @ X15 @ X16)))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f18,plain,(
% 30.46/9.63 ( ! [X8 : a,X7 : a] : (($true = ((sK1 @ X7 @ (sK3 @ X7) @ (sK4 @ X8)))) | ($true != ((sK0 @ X7 @ X8))) | ($true = ((sK0 @ sK9 @ sK10)))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f19,plain,(
% 30.46/9.63 ( ! [X8 : a,X7 : a] : (($true = ((sK1 @ X7 @ (sK3 @ X7) @ (sK4 @ X8)))) | ($true != ((sK0 @ X7 @ X8))) | ($true != ((sK1 @ sK9 @ (sK8 @ sK9) @ (sK7 @ sK10))))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f20,plain,(
% 30.46/9.63 ( ! [X16 : a,X15 : a] : (($true = ((sK0 @ sK5 @ sK6))) | ($true = ((sK1 @ X15 @ (sK7 @ X15) @ (sK8 @ X16)))) | ($true != ((sK0 @ X15 @ X16)))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f21,plain,(
% 30.46/9.63 ($true = ((sK0 @ sK5 @ sK6))) | ($true = ((sK0 @ sK9 @ sK10)))),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f22,plain,(
% 30.46/9.63 ($true = ((sK0 @ sK5 @ sK6))) | ($true != ((sK1 @ sK9 @ (sK8 @ sK9) @ (sK7 @ sK10))))),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f23,plain,(
% 30.46/9.63 ( ! [X16 : a,X15 : a] : (($true != ((sK1 @ sK5 @ (sK2 @ sK5) @ (sK4 @ sK6)))) | ($true = ((sK1 @ X15 @ (sK7 @ X15) @ (sK8 @ X16)))) | ($true != ((sK0 @ X15 @ X16)))) )),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f24,plain,(
% 30.46/9.63 ($true != ((sK1 @ sK5 @ (sK2 @ sK5) @ (sK4 @ sK6)))) | ($true = ((sK0 @ sK9 @ sK10)))),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f25,plain,(
% 30.46/9.63 ($true != ((sK1 @ sK5 @ (sK2 @ sK5) @ (sK4 @ sK6)))) | ($true != ((sK1 @ sK9 @ (sK8 @ sK9) @ (sK7 @ sK10))))),
% 30.46/9.63 inference(cnf_transformation,[],[f8])).
% 30.46/9.63 thf(f27,definition,(
% 30.46/9.63 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 30.46/9.63 introduced(theory,[fool_exhaustiveness_axiom])).
% 30.46/9.63 thf(f29,definition,(
% 30.46/9.63 spl11_1 <=> ($true = ((sK0 @ sK9 @ sK10)))),
% 30.46/9.63 introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition])).
% 30.46/9.63 thf(f31,plain,(
% 30.46/9.63 ($true = ((sK0 @ sK9 @ sK10))) | ~spl11_1),
% 30.46/9.63 inference(avatar_component_clause,[],[f29])).
% 30.46/9.63 thf(f33,definition,(
% 30.46/9.63 spl11_2 <=> ($true = ((sK0 @ sK5 @ sK6)))),
% 30.46/9.63 introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition])).
% 30.46/9.63 thf(f34,plain,(
% 30.46/9.63 ($true != ((sK0 @ sK5 @ sK6))) | spl11_2),
% 30.46/9.63 inference(avatar_component_clause,[],[f33])).
% 30.46/9.63 thf(f35,plain,(
% 30.46/9.63 ($true = ((sK0 @ sK5 @ sK6))) | ~spl11_2),
% 30.46/9.63 inference(avatar_component_clause,[],[f33])).
% 30.46/9.63 thf(f36,plain,(
% 30.46/9.63 spl11_1 | spl11_2),
% 30.46/9.63 inference(avatar_split_clause,[],[f21,f33,f29])).
% 30.46/9.63 thf(f37,plain,(
% 30.46/9.63 ($true != $true) | ($true = ((sK0 @ sK6 @ sK5))) | ~spl11_2),
% 30.46/9.63 inference(constrained_superposition,[],[f9,f35])).
% 30.46/9.63 thf(f38,plain,(
% 30.46/9.63 ($true = ((sK0 @ sK6 @ sK5))) | ~spl11_2),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f37])).
% 30.46/9.63 thf(f41,plain,(
% 30.46/9.63 ($true != $true) | (((sK1 @ sK5)) = ((sK1 @ sK6))) | ~spl11_2),
% 30.46/9.63 inference(constrained_superposition,[],[f13,f35])).
% 30.46/9.63 thf(f44,plain,(
% 30.46/9.63 (((sK1 @ sK5)) = ((sK1 @ sK6))) | ~spl11_2),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f41])).
% 30.46/9.63 thf(f45,plain,(
% 30.46/9.63 ( ! [X1 : b] : ((((sK1 @ sK5 @ X1)) = ((sK1 @ sK6 @ X1)))) ) | ~spl11_2),
% 30.46/9.63 inference(argument_congruence,[],[f44])).
% 30.46/9.63 thf(f46,plain,(
% 30.46/9.63 ( ! [X2 : b,X1 : b] : ((((sK1 @ sK5 @ X1 @ X2)) = ((sK1 @ sK6 @ X1 @ X2)))) ) | ~spl11_2),
% 30.46/9.63 inference(argument_congruence,[],[f45])).
% 30.46/9.63 thf(f47,plain,(
% 30.46/9.63 ( ! [X2 : b,X1 : b] : (($false = ((sK1 @ sK6 @ X1 @ X2))) | ($true = ((sK1 @ sK5 @ X1 @ X2)))) ) | ~spl11_2),
% 30.46/9.63 inference(iff_proxy_clausification,[],[f46])).
% 30.46/9.63 thf(f49,plain,(
% 30.46/9.63 ( ! [X0 : a] : (($true != $true) | ($true != ((sK0 @ sK6 @ X0))) | ($true = ((sK0 @ sK5 @ X0)))) ) | ~spl11_2),
% 30.46/9.63 inference(constrained_superposition,[],[f10,f35])).
% 30.46/9.63 thf(f50,plain,(
% 30.46/9.63 ( ! [X0 : a] : (($true != $true) | ($true != ((sK0 @ sK5 @ X0))) | ($true = ((sK0 @ sK6 @ X0)))) ) | ~spl11_2),
% 30.46/9.63 inference(constrained_superposition,[],[f10,f38])).
% 30.46/9.63 thf(f51,plain,(
% 30.46/9.63 ( ! [X0 : a] : (($true != ((sK0 @ sK5 @ X0))) | ($true = ((sK0 @ sK6 @ X0)))) ) | ~spl11_2),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f50])).
% 30.46/9.63 thf(f52,plain,(
% 30.46/9.63 ( ! [X0 : a] : (($true != ((sK0 @ sK6 @ X0))) | ($true = ((sK0 @ sK5 @ X0)))) ) | ~spl11_2),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f49])).
% 30.46/9.63 thf(f53,plain,(
% 30.46/9.63 ($true != $true) | ($true = ((sK0 @ sK5 @ sK5))) | ~spl11_2),
% 30.46/9.63 inference(constrained_superposition,[],[f52,f38])).
% 30.46/9.63 thf(f54,plain,(
% 30.46/9.63 ($true = ((sK0 @ sK5 @ sK5))) | ~spl11_2),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f53])).
% 30.46/9.63 thf(f56,plain,(
% 30.46/9.63 ($true != $true) | ($true = ((sK0 @ sK6 @ sK6))) | ~spl11_2),
% 30.46/9.63 inference(constrained_superposition,[],[f51,f35])).
% 30.46/9.63 thf(f59,plain,(
% 30.46/9.63 ($true = ((sK0 @ sK6 @ sK6))) | ~spl11_2),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f56])).
% 30.46/9.63 thf(f64,definition,(
% 30.46/9.63 spl11_3 <=> ($true = ((sK1 @ sK5 @ (sK2 @ sK5) @ (sK4 @ sK6))))),
% 30.46/9.63 introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition])).
% 30.46/9.63 thf(f65,plain,(
% 30.46/9.63 ($true = ((sK1 @ sK5 @ (sK2 @ sK5) @ (sK4 @ sK6)))) | ~spl11_3),
% 30.46/9.63 inference(avatar_component_clause,[],[f64])).
% 30.46/9.63 thf(f66,plain,(
% 30.46/9.63 ($true != ((sK1 @ sK5 @ (sK2 @ sK5) @ (sK4 @ sK6)))) | spl11_3),
% 30.46/9.63 inference(avatar_component_clause,[],[f64])).
% 30.46/9.63 thf(f67,plain,(
% 30.46/9.63 spl11_1 | ~spl11_3),
% 30.46/9.63 inference(avatar_split_clause,[],[f24,f64,f29])).
% 30.46/9.63 thf(f111,definition,(
% 30.46/9.63 spl11_4 <=> ! [X9 : a,X10 : a] : (($true = ((sK1 @ X9 @ (sK2 @ X9) @ (sK3 @ X10)))) | ($true != ((sK0 @ X9 @ X10))))),
% 30.46/9.63 introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition])).
% 30.46/9.63 thf(f112,plain,(
% 30.46/9.63 ( ! [X10 : a,X9 : a] : (($true != ((sK0 @ X9 @ X10))) | ($true = ((sK1 @ X9 @ (sK2 @ X9) @ (sK3 @ X10))))) ) | ~spl11_4),
% 30.46/9.63 inference(avatar_component_clause,[],[f111])).
% 30.46/9.63 thf(f113,plain,(
% 30.46/9.63 spl11_1 | spl11_4),
% 30.46/9.63 inference(avatar_split_clause,[],[f15,f111,f29])).
% 30.46/9.63 thf(f114,plain,(
% 30.46/9.63 ($true != $true) | ($true = ((sK1 @ sK5 @ (sK2 @ sK5) @ (sK3 @ sK6)))) | (~spl11_2 | ~spl11_4)),
% 30.46/9.63 inference(constrained_superposition,[],[f112,f35])).
% 30.46/9.63 thf(f121,plain,(
% 30.46/9.63 ($true = ((sK1 @ sK5 @ (sK2 @ sK5) @ (sK3 @ sK6)))) | (~spl11_2 | ~spl11_4)),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f114])).
% 30.46/9.63 thf(f155,definition,(
% 30.46/9.63 spl11_5 <=> ! [X8 : a,X7 : a] : (($true = ((sK1 @ X7 @ (sK3 @ X7) @ (sK4 @ X8)))) | ($true != ((sK0 @ X7 @ X8))))),
% 30.46/9.63 introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition])).
% 30.46/9.63 thf(f156,plain,(
% 30.46/9.63 ( ! [X8 : a,X7 : a] : (($true != ((sK0 @ X7 @ X8))) | ($true = ((sK1 @ X7 @ (sK3 @ X7) @ (sK4 @ X8))))) ) | ~spl11_5),
% 30.46/9.63 inference(avatar_component_clause,[],[f155])).
% 30.46/9.63 thf(f157,plain,(
% 30.46/9.63 spl11_1 | spl11_5),
% 30.46/9.63 inference(avatar_split_clause,[],[f18,f155,f29])).
% 30.46/9.63 thf(f159,plain,(
% 30.46/9.63 ( ! [X0 : a] : (($true != $true) | ($true != ((sK0 @ sK10 @ X0))) | ($true = ((sK0 @ sK9 @ X0)))) ) | ~spl11_1),
% 30.46/9.63 inference(constrained_superposition,[],[f10,f31])).
% 30.46/9.63 thf(f161,plain,(
% 30.46/9.63 ($true != $true) | ($true = ((sK0 @ sK10 @ sK9))) | ~spl11_1),
% 30.46/9.63 inference(constrained_superposition,[],[f9,f31])).
% 30.46/9.63 thf(f162,plain,(
% 30.46/9.63 ($true = ((sK0 @ sK10 @ sK9))) | ~spl11_1),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f161])).
% 30.46/9.63 thf(f164,plain,(
% 30.46/9.63 ( ! [X0 : a] : (($true != ((sK0 @ sK10 @ X0))) | ($true = ((sK0 @ sK9 @ X0)))) ) | ~spl11_1),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f159])).
% 30.46/9.63 thf(f167,plain,(
% 30.46/9.63 ( ! [X0 : a] : (($true != $true) | ($true != ((sK0 @ sK9 @ X0))) | ($true = ((sK0 @ sK10 @ X0)))) ) | ~spl11_1),
% 30.46/9.63 inference(constrained_superposition,[],[f10,f162])).
% 30.46/9.63 thf(f172,plain,(
% 30.46/9.63 ( ! [X0 : a] : (($true != ((sK0 @ sK9 @ X0))) | ($true = ((sK0 @ sK10 @ X0)))) ) | ~spl11_1),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f167])).
% 30.46/9.63 thf(f175,plain,(
% 30.46/9.63 ($true != $true) | ($true = ((sK0 @ sK9 @ sK9))) | ~spl11_1),
% 30.46/9.63 inference(constrained_superposition,[],[f164,f162])).
% 30.46/9.63 thf(f176,plain,(
% 30.46/9.63 ($true = ((sK0 @ sK9 @ sK9))) | ~spl11_1),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f175])).
% 30.46/9.63 thf(f180,plain,(
% 30.46/9.63 ($true != $true) | ($true = ((sK0 @ sK10 @ sK10))) | ~spl11_1),
% 30.46/9.63 inference(constrained_superposition,[],[f172,f31])).
% 30.46/9.63 thf(f183,plain,(
% 30.46/9.63 ($true = ((sK0 @ sK10 @ sK10))) | ~spl11_1),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f180])).
% 30.46/9.63 thf(f325,plain,(
% 30.46/9.63 ( ! [X0 : a,X1 : a] : (($true != $true) | ($true = ((sK0 @ X1 @ X0))) | ($false = ((sK0 @ X0 @ X1)))) )),
% 30.46/9.63 inference(constrained_superposition,[],[f9,f27])).
% 30.46/9.63 thf(f338,plain,(
% 30.46/9.63 ( ! [X2 : b,X0 : a,X1 : b] : (($true != $true) | ($true = ((sK1 @ X0 @ X2 @ X1))) | ($true != ((sK0 @ X0 @ X0))) | ($false = ((sK1 @ X0 @ X1 @ X2)))) )),
% 30.46/9.63 inference(constrained_superposition,[],[f11,f27])).
% 30.46/9.63 thf(f340,plain,(
% 30.46/9.63 ( ! [X2 : b,X0 : a,X1 : b] : (($true != ((sK0 @ X0 @ X0))) | ($true = ((sK1 @ X0 @ X2 @ X1))) | ($false = ((sK1 @ X0 @ X1 @ X2)))) )),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f338])).
% 30.46/9.63 thf(f353,plain,(
% 30.46/9.63 ( ! [X0 : a,X1 : a] : (($true = ((sK0 @ X1 @ X0))) | ($false = ((sK0 @ X0 @ X1)))) )),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f325])).
% 30.46/9.63 thf(f367,plain,(
% 30.46/9.63 ( ! [X2 : a,X0 : a,X1 : a] : (($true != $true) | ($true != ((sK0 @ X1 @ X2))) | ($true = ((sK0 @ X0 @ X2))) | ($false = ((sK0 @ X1 @ X0)))) )),
% 30.46/9.63 inference(constrained_superposition,[],[f10,f353])).
% 30.46/9.63 thf(f394,plain,(
% 30.46/9.63 ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK0 @ X1 @ X2))) | ($true = ((sK0 @ X0 @ X2))) | ($false = ((sK0 @ X1 @ X0)))) )),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f367])).
% 30.46/9.63 thf(f686,definition,(
% 30.46/9.63 spl11_6 <=> ($true = ((sK1 @ sK9 @ (sK8 @ sK9) @ (sK7 @ sK10))))),
% 30.46/9.63 introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition])).
% 30.46/9.63 thf(f687,plain,(
% 30.46/9.63 ($true = ((sK1 @ sK9 @ (sK8 @ sK9) @ (sK7 @ sK10)))) | ~spl11_6),
% 30.46/9.63 inference(avatar_component_clause,[],[f686])).
% 30.46/9.63 thf(f688,plain,(
% 30.46/9.63 ($true != ((sK1 @ sK9 @ (sK8 @ sK9) @ (sK7 @ sK10)))) | spl11_6),
% 30.46/9.63 inference(avatar_component_clause,[],[f686])).
% 30.46/9.63 thf(f689,plain,(
% 30.46/9.63 ~spl11_6 | spl11_5),
% 30.46/9.63 inference(avatar_split_clause,[],[f19,f155,f686])).
% 30.46/9.63 thf(f1038,plain,(
% 30.46/9.63 ($true != $true) | ($true = ((sK1 @ sK6 @ (sK3 @ sK6) @ (sK4 @ sK6)))) | (~spl11_2 | ~spl11_5)),
% 30.46/9.63 inference(constrained_superposition,[],[f156,f59])).
% 30.46/9.63 thf(f1049,plain,(
% 30.46/9.63 ($true = ((sK1 @ sK6 @ (sK3 @ sK6) @ (sK4 @ sK6)))) | (~spl11_2 | ~spl11_5)),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f1038])).
% 30.46/9.63 thf(f1084,plain,(
% 30.46/9.63 ($true = $false) | ($true = ((sK1 @ sK5 @ (sK3 @ sK6) @ (sK4 @ sK6)))) | (~spl11_2 | ~spl11_5)),
% 30.46/9.63 inference(constrained_superposition,[],[f47,f1049])).
% 30.46/9.63 thf(f1087,plain,(
% 30.46/9.63 ($true = ((sK1 @ sK5 @ (sK3 @ sK6) @ (sK4 @ sK6)))) | (~spl11_2 | ~spl11_5)),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f1084])).
% 30.46/9.63 thf(f1477,plain,(
% 30.46/9.63 ( ! [X0 : b] : (($true != $true) | ($true != ((sK1 @ sK5 @ (sK3 @ sK6) @ X0))) | ($true = ((sK1 @ sK5 @ (sK2 @ sK5) @ X0))) | ($true != ((sK0 @ sK5 @ sK5)))) ) | (~spl11_2 | ~spl11_4)),
% 30.46/9.63 inference(constrained_superposition,[],[f12,f121])).
% 30.46/9.63 thf(f1527,plain,(
% 30.46/9.63 ( ! [X0 : b] : (($true != ((sK1 @ sK5 @ (sK3 @ sK6) @ X0))) | ($true = ((sK1 @ sK5 @ (sK2 @ sK5) @ X0))) | ($true != ((sK0 @ sK5 @ sK5)))) ) | (~spl11_2 | ~spl11_4)),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f1477])).
% 30.46/9.63 thf(f1555,plain,(
% 30.46/9.63 ( ! [X0 : b] : (($true != ((sK1 @ sK5 @ (sK3 @ sK6) @ X0))) | ($true = ((sK1 @ sK5 @ (sK2 @ sK5) @ X0)))) ) | (~spl11_2 | ~spl11_4)),
% 30.46/9.63 inference(forward_subsumption_resolution,[],[f1527,f54])).
% 30.46/9.63 thf(f5163,plain,(
% 30.46/9.63 ( ! [X2 : b,X0 : a,X1 : b] : (($true != $true) | ($true = ((sK1 @ X0 @ X1 @ X2))) | ($false = ((sK1 @ X0 @ X2 @ X1))) | ($false = ((sK0 @ X0 @ X0)))) )),
% 30.46/9.63 inference(constrained_superposition,[],[f340,f27])).
% 30.46/9.63 thf(f5164,plain,(
% 30.46/9.63 ( ! [X2 : b,X0 : a,X1 : b] : (($true = ((sK1 @ X0 @ X1 @ X2))) | ($false = ((sK1 @ X0 @ X2 @ X1))) | ($false = ((sK0 @ X0 @ X0)))) )),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f5163])).
% 30.46/9.63 thf(f14808,plain,(
% 30.46/9.63 ($true != $true) | ($true = ((sK1 @ sK5 @ (sK2 @ sK5) @ (sK4 @ sK6)))) | (~spl11_2 | ~spl11_4 | ~spl11_5)),
% 30.46/9.63 inference(constrained_superposition,[],[f1555,f1087])).
% 30.46/9.63 thf(f14813,plain,(
% 30.46/9.63 ($true = ((sK1 @ sK5 @ (sK2 @ sK5) @ (sK4 @ sK6)))) | (~spl11_2 | ~spl11_4 | ~spl11_5)),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f14808])).
% 30.46/9.63 thf(f14820,plain,(
% 30.46/9.63 $false | (~spl11_2 | spl11_3 | ~spl11_4 | ~spl11_5)),
% 30.46/9.63 inference(forward_subsumption_resolution,[],[f14813,f66])).
% 30.46/9.63 thf(f14821,plain,(
% 30.46/9.63 ~spl11_2 | spl11_3 | ~spl11_4 | ~spl11_5),
% 30.46/9.63 inference(avatar_contradiction_clause,[],[f14820])).
% 30.46/9.63 thf(f14835,plain,(
% 30.46/9.63 ($true != $true) | (((sK1 @ sK9)) = ((sK1 @ sK10))) | ~spl11_1),
% 30.46/9.63 inference(constrained_superposition,[],[f13,f31])).
% 30.46/9.63 thf(f14860,plain,(
% 30.46/9.63 (((sK1 @ sK9)) = ((sK1 @ sK10))) | ~spl11_1),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f14835])).
% 30.46/9.63 thf(f14890,plain,(
% 30.46/9.63 ( ! [X0 : a] : (($true != $true) | ($true = ((sK0 @ X0 @ sK9))) | ($false = ((sK0 @ sK10 @ X0)))) ) | ~spl11_1),
% 30.46/9.63 inference(constrained_superposition,[],[f394,f162])).
% 30.46/9.63 thf(f14921,plain,(
% 30.46/9.63 ( ! [X0 : a] : (($true = ((sK0 @ X0 @ sK9))) | ($false = ((sK0 @ sK10 @ X0)))) ) | ~spl11_1),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f14890])).
% 30.46/9.63 thf(f15162,definition,(
% 30.46/9.63 spl11_13 <=> ! [X16 : a,X15 : a] : (($true = ((sK1 @ X15 @ (sK7 @ X15) @ (sK8 @ X16)))) | ($true != ((sK0 @ X15 @ X16))))),
% 30.46/9.63 introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition])).
% 30.46/9.63 thf(f15163,plain,(
% 30.46/9.63 ( ! [X16 : a,X15 : a] : (($true != ((sK0 @ X15 @ X16))) | ($true = ((sK1 @ X15 @ (sK7 @ X15) @ (sK8 @ X16))))) ) | ~spl11_13),
% 30.46/9.63 inference(avatar_component_clause,[],[f15162])).
% 30.46/9.63 thf(f15164,plain,(
% 30.46/9.63 spl11_13 | spl11_4),
% 30.46/9.63 inference(avatar_split_clause,[],[f14,f111,f15162])).
% 30.46/9.63 thf(f15165,plain,(
% 30.46/9.63 ( ! [X1 : b] : ((((sK1 @ sK9 @ X1)) = ((sK1 @ sK10 @ X1)))) ) | ~spl11_1),
% 30.46/9.63 inference(argument_congruence,[],[f14860])).
% 30.46/9.63 thf(f17028,plain,(
% 30.46/9.63 ( ! [X0 : a] : (($true != $true) | ($true = ((sK1 @ X0 @ (sK7 @ X0) @ (sK8 @ sK9)))) | ($false = ((sK0 @ sK10 @ X0)))) ) | (~spl11_1 | ~spl11_13)),
% 30.46/9.63 inference(constrained_superposition,[],[f15163,f14921])).
% 30.46/9.63 thf(f17117,plain,(
% 30.46/9.63 ( ! [X0 : a] : (($true = ((sK1 @ X0 @ (sK7 @ X0) @ (sK8 @ sK9)))) | ($false = ((sK0 @ sK10 @ X0)))) ) | (~spl11_1 | ~spl11_13)),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f17028])).
% 30.46/9.63 thf(f18656,plain,(
% 30.46/9.63 ( ! [X2 : b,X1 : b] : ((((sK1 @ sK9 @ X1 @ X2)) = ((sK1 @ sK10 @ X1 @ X2)))) ) | ~spl11_1),
% 30.46/9.63 inference(argument_congruence,[],[f15165])).
% 30.46/9.63 thf(f18657,plain,(
% 30.46/9.63 ( ! [X2 : b,X1 : b] : (($false = ((sK1 @ sK10 @ X1 @ X2))) | ($true = ((sK1 @ sK9 @ X1 @ X2)))) ) | ~spl11_1),
% 30.46/9.63 inference(iff_proxy_clausification,[],[f18656])).
% 30.46/9.63 thf(f29551,plain,(
% 30.46/9.63 ($true != $true) | ($false = ((sK1 @ sK9 @ (sK7 @ sK10) @ (sK8 @ sK9)))) | ($false = ((sK0 @ sK9 @ sK9))) | spl11_6),
% 30.46/9.63 inference(constrained_superposition,[],[f688,f5164])).
% 30.46/9.63 thf(f29681,plain,(
% 30.46/9.63 ($false = ((sK1 @ sK9 @ (sK7 @ sK10) @ (sK8 @ sK9)))) | ($false = ((sK0 @ sK9 @ sK9))) | spl11_6),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f29551])).
% 30.46/9.63 thf(f29768,plain,(
% 30.46/9.63 ($true = $false) | ($false = ((sK1 @ sK9 @ (sK7 @ sK10) @ (sK8 @ sK9)))) | (~spl11_1 | spl11_6)),
% 30.46/9.63 inference(forward_demodulation,[],[f29681,f176])).
% 30.46/9.63 thf(f29769,plain,(
% 30.46/9.63 ($false = ((sK1 @ sK9 @ (sK7 @ sK10) @ (sK8 @ sK9)))) | (~spl11_1 | spl11_6)),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f29768])).
% 30.46/9.63 thf(f95454,plain,(
% 30.46/9.63 ($true = $false) | ($false = ((sK0 @ sK10 @ sK10))) | ($true = ((sK1 @ sK9 @ (sK7 @ sK10) @ (sK8 @ sK9)))) | (~spl11_1 | ~spl11_13)),
% 30.46/9.63 inference(constrained_superposition,[],[f17117,f18657])).
% 30.46/9.63 thf(f95491,plain,(
% 30.46/9.63 ($false = ((sK0 @ sK10 @ sK10))) | ($true = ((sK1 @ sK9 @ (sK7 @ sK10) @ (sK8 @ sK9)))) | (~spl11_1 | ~spl11_13)),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f95454])).
% 30.46/9.63 thf(f95593,plain,(
% 30.46/9.63 ($true = $false) | ($true = ((sK1 @ sK9 @ (sK7 @ sK10) @ (sK8 @ sK9)))) | (~spl11_1 | ~spl11_13)),
% 30.46/9.63 inference(forward_demodulation,[],[f95491,f183])).
% 30.46/9.63 thf(f95594,plain,(
% 30.46/9.63 ($true = ((sK1 @ sK9 @ (sK7 @ sK10) @ (sK8 @ sK9)))) | (~spl11_1 | ~spl11_13)),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f95593])).
% 30.46/9.63 thf(f95636,plain,(
% 30.46/9.63 ($true = $false) | (~spl11_1 | spl11_6 | ~spl11_13)),
% 30.46/9.63 inference(forward_demodulation,[],[f95594,f29769])).
% 30.46/9.63 thf(f95637,plain,(
% 30.46/9.63 $false | (~spl11_1 | spl11_6 | ~spl11_13)),
% 30.46/9.63 inference(trivial_inequality_removal,[],[f95636])).
% 30.46/9.63 thf(f95638,plain,(
% 30.46/9.63 ~spl11_1 | spl11_6 | ~spl11_13),
% 30.46/9.63 inference(avatar_contradiction_clause,[],[f95637])).
% 30.46/9.63 thf(f95926,plain,(
% 30.46/9.63 ( ! [X10 : a,X9 : a] : (($true = ((sK1 @ X9 @ (sK2 @ X9) @ (sK3 @ X10)))) | ($true != ((sK0 @ X9 @ X10)))) ) | ~spl11_6),
% 30.46/9.63 inference(forward_subsumption_resolution,[],[f16,f687])).
% 30.46/9.63 thf(f96217,plain,(
% 30.46/9.63 spl11_4 | ~spl11_6),
% 30.46/9.63 inference(avatar_split_clause,[],[f95926,f686,f111])).
% 30.46/9.63 thf(f97505,plain,(
% 30.46/9.63 spl11_13 | spl11_5),
% 30.46/9.63 inference(avatar_split_clause,[],[f17,f155,f15162])).
% 30.46/9.63 thf(f98790,plain,(
% 30.46/9.63 ( ! [X16 : a,X15 : a] : (($true = ((sK1 @ X15 @ (sK7 @ X15) @ (sK8 @ X16)))) | ($true != ((sK0 @ X15 @ X16)))) ) | ~spl11_3),
% 30.46/9.63 inference(forward_subsumption_resolution,[],[f23,f65])).
% 30.46/9.63 thf(f99103,plain,(
% 30.46/9.63 spl11_13 | ~spl11_3),
% 30.46/9.63 inference(avatar_split_clause,[],[f98790,f64,f15162])).
% 30.46/9.63 thf(f99398,plain,(
% 30.46/9.63 ($true != ((sK1 @ sK9 @ (sK8 @ sK9) @ (sK7 @ sK10)))) | ~spl11_3),
% 30.46/9.63 inference(forward_subsumption_resolution,[],[f25,f65])).
% 30.46/9.63 thf(f99452,plain,(
% 30.46/9.63 $false | (~spl11_3 | ~spl11_6)),
% 30.46/9.63 inference(forward_subsumption_resolution,[],[f99398,f687])).
% 30.46/9.63 thf(f99453,plain,(
% 30.46/9.63 ~spl11_3 | ~spl11_6),
% 30.46/9.63 inference(avatar_contradiction_clause,[],[f99452])).
% 30.46/9.63 thf(f99455,plain,(
% 30.46/9.63 ($true = ((sK0 @ sK5 @ sK6))) | ~spl11_6),
% 30.46/9.63 inference(forward_subsumption_resolution,[],[f22,f687])).
% 30.46/9.63 thf(f99566,plain,(
% 30.46/9.63 $false | (spl11_2 | ~spl11_6)),
% 30.46/9.63 inference(forward_subsumption_resolution,[],[f99455,f34])).
% 30.46/9.63 thf(f99567,plain,(
% 30.46/9.63 spl11_2 | ~spl11_6),
% 30.46/9.63 inference(avatar_contradiction_clause,[],[f99566])).
% 30.46/9.63 thf(f102224,plain,(
% 30.46/9.63 ( ! [X16 : a,X15 : a] : (($true = ((sK1 @ X15 @ (sK7 @ X15) @ (sK8 @ X16)))) | ($true != ((sK0 @ X15 @ X16)))) ) | spl11_2),
% 30.46/9.63 inference(forward_subsumption_resolution,[],[f20,f34])).
% 30.46/9.63 thf(f102225,plain,(
% 30.46/9.63 spl11_13 | spl11_2),
% 30.46/9.63 inference(avatar_split_clause,[],[f102224,f33,f15162])).
% 30.46/9.63 cnf(s1, plain, spl11_1 | spl11_2, inference(sat_conversion,[],[f36])).
% 30.46/9.63 cnf(s2, plain, spl11_1 | ~spl11_3, inference(sat_conversion,[],[f67])).
% 30.46/9.63 cnf(s3, plain, spl11_1 | spl11_4, inference(sat_conversion,[],[f113])).
% 30.46/9.63 cnf(s4, plain, spl11_1 | spl11_5, inference(sat_conversion,[],[f157])).
% 30.46/9.63 cnf(s5, plain, spl11_5 | ~spl11_6, inference(sat_conversion,[],[f689])).
% 30.46/9.63 cnf(s10, plain, ~spl11_2 | spl11_3 | ~spl11_4 | ~spl11_5, inference(sat_conversion,[],[f14821])).
% 30.46/9.63 cnf(s13, plain, spl11_4 | spl11_13, inference(sat_conversion,[],[f15164])).
% 30.46/9.63 cnf(s20, plain, ~spl11_1 | spl11_6 | ~spl11_13, inference(sat_conversion,[],[f95638])).
% 30.46/9.63 cnf(s21, plain, spl11_4 | ~spl11_6, inference(sat_conversion,[],[f96217])).
% 30.46/9.63 cnf(s22, plain, spl11_5 | spl11_13, inference(sat_conversion,[],[f97505])).
% 30.46/9.63 cnf(s23, plain, ~spl11_3 | spl11_13, inference(sat_conversion,[],[f99103])).
% 30.46/9.63 cnf(s24, plain, ~spl11_3 | ~spl11_6, inference(sat_conversion,[],[f99453])).
% 30.46/9.63 cnf(s25, plain, spl11_2 | ~spl11_6, inference(sat_conversion,[],[f99567])).
% 30.46/9.63 cnf(s27, plain, spl11_2 | spl11_13, inference(sat_conversion,[],[f102225])).
% 30.46/9.63 cnf(s28, plain, spl11_1, inference(rat,[],[s10,s1,s2,s3,s4])).
% 30.46/9.63 cnf(s30, plain, spl11_5, inference(rat,[],[s20,s5,s22,s28])).
% 30.46/9.63 cnf(s31, plain, spl11_4, inference(rat,[],[s20,s13,s21,s28])).
% 30.46/9.63 cnf(s32, plain, ~spl11_3, inference(rat,[],[s20,s23,s24,s28])).
% 30.46/9.63 cnf(s33, plain, ~spl11_2, inference(rat,[],[s10,s30,s31,s32])).
% 30.46/9.63 cnf(s34, plain, spl11_13, inference(rat,[],[s27,s33])).
% 30.46/9.63 cnf(s35, plain, ~spl11_6, inference(rat,[],[s25,s33])).
% 30.46/9.63 cnf(s36, plain, $false, inference(rat,[],[s20,s28,s34,s35])).
% 30.46/9.63 thf(f102226,plain,(
% 30.46/9.63 $false),
% 30.46/9.63 inference(avatar_sat_refutation,[],[s36])).
% 30.46/9.63 % SZS output end Proof for theBenchmark
% 30.46/9.63 % (2780975)------------------------------
% 30.46/9.63 % (2780975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.46/9.63 % (2780975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.46/9.63 % (2780975)CaDiCaL version: 2.1.3
% 30.46/9.63 % (2780975)Termination reason: Refutation
% 30.46/9.63 % (2780975)Time elapsed: 1.835 s
% 30.46/9.63 % (2780975)Peak memory usage: 28 MB
% 30.46/9.63 % (2780975)Instructions burned: 8455 (million)
% 30.46/9.63 % (2780882)Success in time 9.423 s
% 30.46/9.63 % Vampire exiting
%------------------------------------------------------------------------------