%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO225^5 : 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 08:49:33 AM UTC 2026
% Result : Theorem 10.55s 1.96s
% Output : Refutation 10.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO225^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:43:33 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.97/0.95 % (3771225)Will run a generic schedule for satisfiability detection.
% 3.97/0.95 % (3771233)dis+10_1_sil=32000:sp=arity:random_seed=1940964762:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.97/0.95 % (3771231)% WARNING: option uhcvi not known.
% 3.97/0.95 % (3771230)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3886668997_2999 on theBenchmark for (2999ds/0Mi)
% 3.97/0.95 % (3771232)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2758193418:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.97/0.95 % (3771231)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1961552130:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.97/0.95 % (3771234)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=544691685:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.97/0.95 % (3771235)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2144238999:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.97/0.95 % (3771236)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2412599626:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.97/0.95 % (3771231)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.97/0.95 % (3771234)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.97/0.95 % Exception at run slice level
% 3.97/0.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.97/0.95 % (3771231)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.97/0.95 % (3771244)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2249588546:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.97/0.95 % (3771233)Instruction limit reached!
% 3.97/0.95 % (3771233)------------------------------
% 3.97/0.95 % (3771233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.95 % (3771233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.95 % (3771233)CaDiCaL version: 2.1.3
% 3.97/0.95 % (3771233)Termination reason: Instruction limit
% 3.97/0.95 % (3771233)Termination phase: Saturation
% 3.97/0.95 % (3771233)Time elapsed: 0.030 s
% 3.97/0.95 % (3771233)Peak memory usage: 13 MB
% 3.97/0.95 % (3771233)Instructions burned: 106 (million)
% 3.97/0.95 % Exception at run slice level
% 3.97/0.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.97/0.95 % (3771246)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1662125777:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.97/0.95 % (3771247)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=559900249:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.97/0.95 % (3771247)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.97/0.95 % (3771247)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.97/0.95 % (3771234)Instruction limit reached!
% 3.97/0.95 % (3771234)------------------------------
% 3.97/0.95 % (3771234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.95 % (3771234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.95 % (3771234)CaDiCaL version: 2.1.3
% 3.97/0.95 % (3771234)Termination reason: Instruction limit
% 3.97/0.95 % (3771234)Termination phase: Saturation
% 3.97/0.95 % (3771234)Time elapsed: 0.058 s
% 3.97/0.95 % (3771234)Peak memory usage: 13 MB
% 3.97/0.95 % (3771234)Instructions burned: 117 (million)
% 3.97/0.95 % (3771235)Instruction limit reached!
% 3.97/0.95 % (3771235)------------------------------
% 3.97/0.95 % (3771235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.95 % (3771235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.95 % (3771235)CaDiCaL version: 2.1.3
% 3.97/0.95 % (3771235)Termination reason: Instruction limit
% 3.97/0.95 % (3771235)Termination phase: Saturation
% 3.97/0.95 % (3771235)Time elapsed: 0.066 s
% 3.97/0.95 % (3771235)Peak memory usage: 13 MB
% 3.97/0.95 % (3771235)Instructions burned: 132 (million)
% 3.97/0.95 % (3771246)Instruction limit reached!
% 3.97/0.95 % (3771246)------------------------------
% 3.97/0.95 % (3771246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/1.96 % (3771246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/1.96 % (3771246)CaDiCaL version: 2.1.3
% 10.55/1.96 % (3771246)Termination reason: Instruction limit
% 10.55/1.96 % (3771246)Termination phase: Saturation
% 10.55/1.96 % (3771246)Time elapsed: 0.037 s
% 10.55/1.96 % (3771246)Peak memory usage: 13 MB
% 10.55/1.96 % (3771246)Instructions burned: 131 (million)
% 10.55/1.96 % (3771250)ott-21_1_sil=16000:fs=off:random_seed=2739187136:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 10.55/1.96 % (3771236)Instruction limit reached!
% 10.55/1.96 % (3771236)------------------------------
% 10.55/1.96 % (3771236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/1.96 % (3771236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/1.96 % (3771236)CaDiCaL version: 2.1.3
% 10.55/1.96 % (3771236)Termination reason: Instruction limit
% 10.55/1.96 % (3771236)Termination phase: Saturation
% 10.55/1.96 % (3771236)Time elapsed: 0.078 s
% 10.55/1.96 % (3771236)Peak memory usage: 13 MB
% 10.55/1.96 % (3771236)Instructions burned: 159 (million)
% 10.55/1.96 % (3771252)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3386413407:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 10.55/1.96 % Exception at run slice level
% 10.55/1.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.55/1.96 % (3771251)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=974176951:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 10.55/1.96 % (3771256)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1699126146:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 10.55/1.96 % Exception at run slice level
% 10.55/1.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.55/1.96 % (3771254)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=112177840:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 10.55/1.96 % (3771259)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=1252092004: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)
% 10.55/1.96 % (3771259)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.55/1.96 % (3771250)Instruction limit reached!
% 10.55/1.96 % (3771250)------------------------------
% 10.55/1.96 % (3771250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/1.96 % (3771250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/1.96 % (3771250)CaDiCaL version: 2.1.3
% 10.55/1.96 % (3771250)Termination reason: Instruction limit
% 10.55/1.96 % (3771250)Termination phase: Saturation
% 10.55/1.96 % (3771250)Time elapsed: 0.088 s
% 10.55/1.96 % (3771250)Peak memory usage: 12 MB
% 10.55/1.96 % (3771250)Instructions burned: 185 (million)
% 10.55/1.96 % (3771262)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4247053379:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 10.55/1.96 % (3771262)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.55/1.96 % (3771259)Instruction limit reached!
% 10.55/1.96 % (3771259)------------------------------
% 10.55/1.96 % (3771259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/1.96 % (3771259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/1.96 % (3771259)CaDiCaL version: 2.1.3
% 10.55/1.96 % (3771259)Termination reason: Instruction limit
% 10.55/1.96 % (3771259)Termination phase: Saturation
% 10.55/1.96 % (3771259)Time elapsed: 0.206 s
% 10.55/1.96 % (3771259)Peak memory usage: 16 MB
% 10.55/1.96 % (3771259)Instructions burned: 696 (million)
% 10.55/1.96 % (3771264)fmb+10_1_sil=64000:random_seed=2287154046:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 10.55/1.96 % (3771264)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.55/1.96 % Exception at run slice level
% 10.55/1.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.55/1.96 % (3771251)Instruction limit reached!
% 10.55/1.96 % (3771251)------------------------------
% 10.55/1.96 % (3771251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/1.96 % (3771251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/1.96 % (3771251)CaDiCaL version: 2.1.3
% 10.55/1.96 % (3771251)Termination reason: Instruction limit
% 10.55/1.96 % (3771251)Termination phase: Saturation
% 10.55/1.96 % (3771251)Time elapsed: 0.255 s
% 10.55/1.96 % (3771251)Peak memory usage: 14 MB
% 10.55/1.96 % (3771251)Instructions burned: 478 (million)
% 10.55/1.96 % (3771266)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1009642970:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 10.55/1.96 % Exception at run slice level
% 10.55/1.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.55/1.96 % (3771269)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2049315602:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 10.55/1.96 % (3771269)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.55/1.96 % (3771268)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1899092027:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 10.55/1.96 % Exception at run slice level
% 10.55/1.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.55/1.96 % (3771247)Instruction limit reached!
% 10.55/1.96 % (3771247)------------------------------
% 10.55/1.96 % (3771247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/1.96 % (3771247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/1.96 % (3771247)CaDiCaL version: 2.1.3
% 10.55/1.96 % (3771247)Termination reason: Instruction limit
% 10.55/1.96 % (3771247)Termination phase: Saturation
% 10.55/1.96 % (3771247)Time elapsed: 0.322 s
% 10.55/1.96 % (3771247)Peak memory usage: 15 MB
% 10.55/1.96 % (3771247)Instructions burned: 686 (million)
% 10.55/1.96 % (3771272)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4156318518:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 10.55/1.96 % (3771273)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3769874561:i=6324_2996 on theBenchmark for (2996ds/6324Mi)
% 10.55/1.96 % (3771272)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.55/1.96 % Exception at run slice level
% 10.55/1.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.55/1.96 % (3771272)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 10.55/1.96 % (3771276)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1997866182:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 10.55/1.96 % Exception at run slice level
% 10.55/1.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.55/1.96 % (3771278)ott-2_1_sil=16000:newcnf=on:random_seed=1867483037:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 10.55/1.96 % (3771278)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.55/1.96 % (3771262)Instruction limit reached!
% 10.55/1.96 % (3771262)------------------------------
% 10.55/1.96 % (3771262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/1.96 % (3771262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/1.96 % (3771262)CaDiCaL version: 2.1.3
% 10.55/1.96 % (3771262)Termination reason: Instruction limit
% 10.55/1.96 % (3771262)Termination phase: Saturation
% 10.55/1.96 % (3771262)Time elapsed: 0.431 s
% 10.55/1.96 % (3771262)Peak memory usage: 16 MB
% 10.55/1.96 % (3771262)Instructions burned: 879 (million)
% 10.55/1.96 % (3771280)ott+10_1_sil=32000:tgt=ground:random_seed=942283089:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 10.55/1.96 % (3771254)Instruction limit reached!
% 10.55/1.96 % (3771254)------------------------------
% 10.55/1.96 % (3771254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/1.96 % (3771254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/1.96 % (3771254)CaDiCaL version: 2.1.3
% 10.55/1.96 % (3771254)Termination reason: Instruction limit
% 10.55/1.96 % (3771254)Termination phase: Saturation
% 10.55/1.96 % (3771254)Time elapsed: 0.563 s
% 10.55/1.96 % (3771254)Peak memory usage: 18 MB
% 10.55/1.96 % (3771254)Instructions burned: 1179 (million)
% 10.55/1.96 % (3771282)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1734060624:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 10.55/1.96 % Exception at run slice level
% 10.55/1.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.55/1.96 % (3771284)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=246774269:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 10.55/1.96 % (3771284)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 10.55/1.96 % (3771278)Instruction limit reached!
% 10.55/1.96 % (3771278)------------------------------
% 10.55/1.96 % (3771278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/1.96 % (3771278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/1.96 % (3771278)CaDiCaL version: 2.1.3
% 10.55/1.96 % (3771278)Termination reason: Instruction limit
% 10.55/1.96 % (3771278)Termination phase: Saturation
% 10.55/1.96 % (3771278)Time elapsed: 0.424 s
% 10.55/1.96 % (3771278)Peak memory usage: 42 MB
% 10.55/1.96 % (3771278)Instructions burned: 870 (million)
% 10.55/1.96 % (3771286)dis+21_1_sil=32000:sas=cadical:random_seed=61761097:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 10.55/1.96 % (3771272)Instruction limit reached!
% 10.55/1.96 % (3771272)------------------------------
% 10.55/1.96 % (3771272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/1.96 % (3771272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/1.96 % (3771272)CaDiCaL version: 2.1.3
% 10.55/1.96 % (3771272)Termination reason: Instruction limit
% 10.55/1.96 % (3771272)Termination phase: Saturation
% 10.55/1.96 % (3771272)Time elapsed: 0.791 s
% 10.55/1.96 % (3771272)Peak memory usage: 25 MB
% 10.55/1.96 % (3771272)Instructions burned: 1473 (million)
% 10.55/1.96 % (3771288)ott+11_1_sil=16000:gs=on:random_seed=2019758012:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 10.55/1.96 % (3771288)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 10.55/1.96 % (3771269)Instruction limit reached!
% 10.55/1.96 % (3771269)------------------------------
% 10.55/1.96 % (3771269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/1.96 % (3771269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/1.96 % (3771269)CaDiCaL version: 2.1.3
% 10.55/1.96 % (3771269)Termination reason: Instruction limit
% 10.55/1.96 % (3771269)Termination phase: Saturation
% 10.55/1.96 % (3771269)Time elapsed: 1.213 s
% 10.55/1.96 % (3771269)Peak memory usage: 22 MB
% 10.55/1.96 % (3771269)Instructions burned: 5134 (million)
% 10.55/1.96 % (3771290)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1733851478:fmbsr=1.6:i=67534_2984 on theBenchmark for (2984ds/67534Mi)
% 10.55/1.96 % Exception at run slice level
% 10.55/1.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.55/1.96 % (3771292)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2355549720:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 10.55/1.96 % (3771286) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3771225-3771286"...
% 10.55/1.96 % (3771286)...printing done.
% 10.55/1.96 % (3771286)Refutation found. Thanks to Tanya!
% 10.55/1.96 % SZS status Theorem for theBenchmark
% 10.55/1.96 % SZS output start Proof for theBenchmark
% 10.55/1.96 thf(type_def_5, type, g: $tType).
% 10.55/1.96 thf(type_def_6, type, b: $tType).
% 10.55/1.96 thf(type_def_7, type, a: $tType).
% 10.55/1.96 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 10.55/1.96 thf(func_def_3, type, sP0: ((g > $o) > (g > g > g) > (a > a > a) > (b > a) > (g > b) > $o)).
% 10.55/1.96 thf(func_def_4, type, sP1: ((g > $o) > (g > g > g) > $o)).
% 10.55/1.96 thf(func_def_5, type, sK2: ((g > $o) > (g > g > g) > g)).
% 10.55/1.96 thf(func_def_6, type, sK3: ((g > $o) > (g > g > g) > g)).
% 10.55/1.96 thf(func_def_7, type, sK4: ((g > $o) > (g > g > g) > (a > a > a) > (b > a) > (g > b) > g)).
% 10.55/1.96 thf(func_def_8, type, sK5: ((g > $o) > (g > g > g) > (a > a > a) > (b > a) > (g > b) > g)).
% 10.55/1.96 thf(func_def_9, type, sK6: (g > b)).
% 10.55/1.96 thf(func_def_10, type, sK7: (b > a)).
% 10.55/1.96 thf(func_def_11, type, sK8: (g > $o)).
% 10.55/1.96 thf(func_def_12, type, sK9: (g > g > g)).
% 10.55/1.96 thf(func_def_13, type, sK10: (b > $o)).
% 10.55/1.96 thf(func_def_14, type, sK11: (b > b > b)).
% 10.55/1.96 thf(func_def_15, type, sK12: (a > $o)).
% 10.55/1.96 thf(func_def_16, type, sK13: (a > a > a)).
% 10.55/1.96 thf(func_def_17, type, sK14: g).
% 10.55/1.96 thf(func_def_18, type, sK15: a).
% 10.55/1.96 thf(func_def_19, type, sK16: a).
% 10.55/1.96 thf(func_def_20, type, vNOT: ($o > $o)).
% 10.55/1.96 thf(func_def_22, type, db0: !>[X0: $tType]:(X0)).
% 10.55/1.96 thf(func_def_23, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 10.55/1.96 thf(func_def_24, type, db1: !>[X0: $tType]:(X0)).
% 10.55/1.96 thf(func_def_25, type, db2: !>[X0: $tType]:(X0)).
% 10.55/1.96 thf(func_def_26, type, sK18: ((g > g > g) > (g > g > $o) > g)).
% 10.55/1.96 thf(func_def_27, type, sK19: ((g > g > g) > (g > g > $o) > g)).
% 10.55/1.96 thf(func_def_28, type, sK20: ((g > g > g) > (g > g > $o) > g)).
% 10.55/1.96 thf(func_def_29, type, sK21: ((g > g > g) > (g > g > g > g) > (g > g > g > g) > (g > g > $o) > g)).
% 10.55/1.96 thf(func_def_30, type, db4: !>[X0: $tType]:(X0)).
% 10.55/1.96 thf(func_def_31, type, db3: !>[X0: $tType]:(X0)).
% 10.55/1.96 thf(func_def_32, type, sK22: ((g > g > g > g) > (g > a > a > a) > (g > g > g) > (g > g > $o) > (g > g > g) > (g > b > a) > a)).
% 10.55/1.96 thf(func_def_33, type, sK23: ((g > g > a) > (g > g > g) > (g > g > g > g) > g)).
% 10.55/1.96 thf(func_def_34, type, sK24: ((g > g > a) > (g > g > g) > (g > g > g > g) > g)).
% 10.55/1.96 thf(func_def_35, type, sK25: ((g > g > a) > (g > g > g) > (g > g > g > g) > g)).
% 10.55/1.96 thf(func_def_36, type, sK26: ((g > g > a) > (g > g > g) > (g > g > g > g) > g)).
% 10.55/1.96 thf(func_def_37, type, sK27: ((g > g > g) > (g > g > g) > (g > g > g > g) > g)).
% 10.55/1.96 thf(func_def_38, type, sK28: ((g > g > g) > (g > g > g) > (g > g > g > g) > g)).
% 10.55/1.96 thf(func_def_39, type, sK29: ((g > g > a) > (g > g > g > g) > (g > b) > (g > g > g) > g)).
% 10.55/1.96 thf(func_def_40, type, sK30: ((g > g > a) > (g > g > g > g) > (g > b) > (g > g > g) > g)).
% 10.55/1.96 thf(func_def_41, type, sK31: ((g > g > b) > (g > g > g > g) > (g > g) > (g > g > g) > g)).
% 10.55/1.96 thf(func_def_42, type, sK32: ((g > g > b) > (g > g > g > g) > (g > g) > (g > g > g) > g)).
% 10.55/1.96 thf(func_def_43, type, sK33: ((g > g > g > g) > (g > g > g > g) > (g > g > g) > (g > g > $o) > g)).
% 10.55/1.96 thf(func_def_44, type, sK34: ((g > g > g > g) > (g > g > g > g) > (g > g > g) > (g > g > $o) > g)).
% 10.55/1.96 thf(func_def_45, type, sK35: ((g > g > g > g) > (g > g > g > g) > (g > g > g) > (g > g > $o) > (a > a > a) > (g > b) > (b > a) > g)).
% 10.55/1.96 thf(func_def_46, type, sK36: ((g > g > g > g) > (g > g > g > g) > (g > g > g) > (g > g > $o) > (a > a > a) > (g > b) > (b > a) > g)).
% 10.55/1.96 thf(f1,conjecture,(
% 10.55/1.96 ! [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (g > b),X7 : (b > a),X8 : (g > $o),X9 : (g > g > g),X10 : (b > $o),X11 : (b > b > b),X12 : (a > $o),X13 : (a > a > a)] : ((! [X14 : b,X15 : b] : (((X10 @ X15) & (X10 @ X14)) => (((X7 @ (X11 @ X14 @ X15))) = ((X13 @ (X7 @ X14) @ (X7 @ X15))))) & ! [X14 : b] : ((X10 @ X14) => (X12 @ (X7 @ X14))) & ! [X14 : a,X15 : a] : (((X12 @ X15) & (X12 @ X14)) => (X12 @ (X13 @ X14 @ X15))) & ! [X14 : g,X15 : g] : (((X8 @ X15) & (X8 @ X14)) => (((X6 @ (X9 @ X14 @ X15))) = ((X11 @ (X6 @ X14) @ (X6 @ X15))))) & ! [X14 : g] : ((X8 @ X14) => (X10 @ (X6 @ X14))) & ! [X14 : g] : ((X8 @ X14) => (X10 @ (X6 @ X14))) & ! [X14 : g] : ((X8 @ X14) => (X10 @ (X6 @ X14))) & ! [X14 : g,X15 : g] : (((X8 @ X15) & (X8 @ X14)) => (X8 @ (X9 @ X14 @ X15)))) => (! [X14 : g,X15 : g] : (((X8 @ X15) & (X8 @ X14) & (X8 @ X15) & (X8 @ X14)) => (((X7 @ (X6 @ (X9 @ X14 @ X15)))) = ((X13 @ (X7 @ (X6 @ X14)) @ (X7 @ (X6 @ X15)))))) & ! [X14 : g] : ((X8 @ X14) => (X12 @ (X7 @ (X6 @ X14)))) & ! [X14 : a,X15 : a] : (((X12 @ X15) & (X12 @ X14)) => (X12 @ (X13 @ X14 @ X15))) & ! [X14 : g,X15 : g] : (((X8 @ X15) & (X8 @ X14)) => (X8 @ (X9 @ X14 @ X15)))))),
% 10.55/1.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM126_CORRECTED_pme)).
% 10.55/1.96 thf(f2,negated_conjecture,(
% 10.55/1.96 ~ ! [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (g > b),X7 : (b > a),X8 : (g > $o),X9 : (g > g > g),X10 : (b > $o),X11 : (b > b > b),X12 : (a > $o),X13 : (a > a > a)] : ((! [X14 : b,X15 : b] : (((X10 @ X15) & (X10 @ X14)) => (((X7 @ (X11 @ X14 @ X15))) = ((X13 @ (X7 @ X14) @ (X7 @ X15))))) & ! [X14 : b] : ((X10 @ X14) => (X12 @ (X7 @ X14))) & ! [X14 : a,X15 : a] : (((X12 @ X15) & (X12 @ X14)) => (X12 @ (X13 @ X14 @ X15))) & ! [X14 : g,X15 : g] : (((X8 @ X15) & (X8 @ X14)) => (((X6 @ (X9 @ X14 @ X15))) = ((X11 @ (X6 @ X14) @ (X6 @ X15))))) & ! [X14 : g] : ((X8 @ X14) => (X10 @ (X6 @ X14))) & ! [X14 : g] : ((X8 @ X14) => (X10 @ (X6 @ X14))) & ! [X14 : g] : ((X8 @ X14) => (X10 @ (X6 @ X14))) & ! [X14 : g,X15 : g] : (((X8 @ X15) & (X8 @ X14)) => (X8 @ (X9 @ X14 @ X15)))) => (! [X14 : g,X15 : g] : (((X8 @ X15) & (X8 @ X14) & (X8 @ X15) & (X8 @ X14)) => (((X7 @ (X6 @ (X9 @ X14 @ X15)))) = ((X13 @ (X7 @ (X6 @ X14)) @ (X7 @ (X6 @ X15)))))) & ! [X14 : g] : ((X8 @ X14) => (X12 @ (X7 @ (X6 @ X14)))) & ! [X14 : a,X15 : a] : (((X12 @ X15) & (X12 @ X14)) => (X12 @ (X13 @ X14 @ X15))) & ! [X14 : g,X15 : g] : (((X8 @ X15) & (X8 @ X14)) => (X8 @ (X9 @ X14 @ X15)))))),
% 10.55/1.96 inference(negated_conjecture,[status(cth)],[f1])).
% 10.55/1.96 thf(f3,plain,(
% 10.55/1.96 ~ ! [X6 : (g > b),X7 : (b > a),X8 : (g > $o),X9 : (g > g > g),X10 : (b > $o),X11 : (b > b > b),X12 : (a > $o),X13 : (a > a > a)] : ((! [X14 : b,X15 : b] : (((X10 @ X15) & (X10 @ X14)) => (((X7 @ (X11 @ X14 @ X15))) = ((X13 @ (X7 @ X14) @ (X7 @ X15))))) & ! [X16 : b] : ((X10 @ X16) => (X12 @ (X7 @ X16))) & ! [X17 : a,X18 : a] : (((X12 @ X18) & (X12 @ X17)) => (X12 @ (X13 @ X17 @ X18))) & ! [X19 : g,X20 : g] : (((X8 @ X20) & (X8 @ X19)) => (((X6 @ (X9 @ X19 @ X20))) = ((X11 @ (X6 @ X19) @ (X6 @ X20))))) & ! [X21 : g] : ((X8 @ X21) => (X10 @ (X6 @ X21))) & ! [X22 : g] : ((X8 @ X22) => (X10 @ (X6 @ X22))) & ! [X23 : g] : ((X8 @ X23) => (X10 @ (X6 @ X23))) & ! [X24 : g,X25 : g] : (((X8 @ X25) & (X8 @ X24)) => (X8 @ (X9 @ X24 @ X25)))) => (! [X26 : g,X27 : g] : (((X8 @ X27) & (X8 @ X26) & (X8 @ X27) & (X8 @ X26)) => (((X7 @ (X6 @ (X9 @ X26 @ X27)))) = ((X13 @ (X7 @ (X6 @ X26)) @ (X7 @ (X6 @ X27)))))) & ! [X28 : g] : ((X8 @ X28) => (X12 @ (X7 @ (X6 @ X28)))) & ! [X29 : a,X30 : a] : (((X12 @ X30) & (X12 @ X29)) => (X12 @ (X13 @ X29 @ X30))) & ! [X31 : g,X32 : g] : (((X8 @ X32) & (X8 @ X31)) => (X8 @ (X9 @ X31 @ X32)))))),
% 10.55/1.96 inference(rectify,[],[f2])).
% 10.55/1.96 thf(f4,plain,(
% 10.55/1.96 ~ ! [X6 : (g > b),X7 : (b > a),X8 : (g > $o),X9 : (g > g > g),X10 : (b > $o),X11 : (b > b > b),X12 : (a > $o),X13 : (a > a > a)] : ((! [X14 : b,X15 : b] : (((((X10 @ X15)) = $true) & (((X10 @ X14)) = $true)) => (((X7 @ (X11 @ X14 @ X15))) = ((X13 @ (X7 @ X14) @ (X7 @ X15))))) & ! [X16 : b] : ((((X10 @ X16)) = $true) => (((X12 @ (X7 @ X16))) = $true)) & ! [X17 : a,X18 : a] : (((((X12 @ X18)) = $true) & (((X12 @ X17)) = $true)) => (((X12 @ (X13 @ X17 @ X18))) = $true)) & ! [X19 : g,X20 : g] : (((((X8 @ X20)) = $true) & (((X8 @ X19)) = $true)) => (((X6 @ (X9 @ X19 @ X20))) = ((X11 @ (X6 @ X19) @ (X6 @ X20))))) & ! [X21 : g] : ((((X8 @ X21)) = $true) => (((X10 @ (X6 @ X21))) = $true)) & ! [X22 : g] : ((((X8 @ X22)) = $true) => (((X10 @ (X6 @ X22))) = $true)) & ! [X23 : g] : ((((X8 @ X23)) = $true) => (((X10 @ (X6 @ X23))) = $true)) & ! [X24 : g,X25 : g] : (((((X8 @ X25)) = $true) & (((X8 @ X24)) = $true)) => (((X8 @ (X9 @ X24 @ X25))) = $true))) => (! [X26 : g,X27 : g] : (((((X8 @ X27)) = $true) & (((X8 @ X26)) = $true) & (((X8 @ X27)) = $true) & (((X8 @ X26)) = $true)) => (((X7 @ (X6 @ (X9 @ X26 @ X27)))) = ((X13 @ (X7 @ (X6 @ X26)) @ (X7 @ (X6 @ X27)))))) & ! [X28 : g] : ((((X8 @ X28)) = $true) => (((X12 @ (X7 @ (X6 @ X28)))) = $true)) & ! [X29 : a,X30 : a] : (((((X12 @ X30)) = $true) & (((X12 @ X29)) = $true)) => (((X12 @ (X13 @ X29 @ X30))) = $true)) & ! [X31 : g,X32 : g] : (((((X8 @ X32)) = $true) & (((X8 @ X31)) = $true)) => (((X8 @ (X9 @ X31 @ X32))) = $true))))),
% 10.55/1.96 inference(fool_elimination,[],[f3])).
% 10.55/1.96 thf(f5,plain,(
% 10.55/1.96 ~ ! [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((! [X8 : b,X9 : b] : ((($true = ((X4 @ X9))) & ($true = ((X4 @ X8)))) => (((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9))))) & ! [X10 : b] : (($true = ((X4 @ X10))) => ($true = ((X6 @ (X1 @ X10))))) & ! [X11 : a,X12 : a] : ((($true = ((X6 @ X12))) & ($true = ((X6 @ X11)))) => ($true = ((X6 @ (X7 @ X11 @ X12))))) & ! [X13 : g,X14 : g] : ((($true = ((X2 @ X14))) & ($true = ((X2 @ X13)))) => (((X0 @ (X3 @ X13 @ X14))) = ((X5 @ (X0 @ X13) @ (X0 @ X14))))) & ! [X15 : g] : (($true = ((X2 @ X15))) => ($true = ((X4 @ (X0 @ X15))))) & ! [X16 : g] : (($true = ((X2 @ X16))) => ($true = ((X4 @ (X0 @ X16))))) & ! [X17 : g] : (($true = ((X2 @ X17))) => ($true = ((X4 @ (X0 @ X17))))) & ! [X18 : g,X19 : g] : ((($true = ((X2 @ X19))) & ($true = ((X2 @ X18)))) => ($true = ((X2 @ (X3 @ X18 @ X19)))))) => (! [X20 : g,X21 : g] : ((($true = ((X2 @ X21))) & ($true = ((X2 @ X20))) & ($true = ((X2 @ X21))) & ($true = ((X2 @ X20)))) => (((X1 @ (X0 @ (X3 @ X20 @ X21)))) = ((X7 @ (X1 @ (X0 @ X20)) @ (X1 @ (X0 @ X21)))))) & ! [X22 : g] : (($true = ((X2 @ X22))) => ($true = ((X6 @ (X1 @ (X0 @ X22)))))) & ! [X23 : a,X24 : a] : ((($true = ((X6 @ X24))) & ($true = ((X6 @ X23)))) => ($true = ((X6 @ (X7 @ X23 @ X24))))) & ! [X25 : g,X26 : g] : ((($true = ((X2 @ X26))) & ($true = ((X2 @ X25)))) => ($true = ((X2 @ (X3 @ X25 @ X26)))))))),
% 10.55/1.96 inference(rectify,[],[f4])).
% 10.55/1.96 thf(f6,plain,(
% 10.55/1.96 ? [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((? [X20 : g,X21 : g] : ((((X1 @ (X0 @ (X3 @ X20 @ X21)))) != ((X7 @ (X1 @ (X0 @ X20)) @ (X1 @ (X0 @ X21))))) & (($true = ((X2 @ X21))) & ($true = ((X2 @ X20))) & ($true = ((X2 @ X21))) & ($true = ((X2 @ X20))))) | ? [X22 : g] : (($true != ((X6 @ (X1 @ (X0 @ X22))))) & ($true = ((X2 @ X22)))) | ? [X23 : a,X24 : a] : (($true != ((X6 @ (X7 @ X23 @ X24)))) & (($true = ((X6 @ X24))) & ($true = ((X6 @ X23))))) | ? [X25 : g,X26 : g] : (($true != ((X2 @ (X3 @ X25 @ X26)))) & (($true = ((X2 @ X26))) & ($true = ((X2 @ X25)))))) & (! [X8 : b,X9 : b] : ((((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9)))) | (($true != ((X4 @ X9))) | ($true != ((X4 @ X8))))) & ! [X10 : b] : (($true = ((X6 @ (X1 @ X10)))) | ($true != ((X4 @ X10)))) & ! [X11 : a,X12 : a] : (($true = ((X6 @ (X7 @ X11 @ X12)))) | (($true != ((X6 @ X12))) | ($true != ((X6 @ X11))))) & ! [X13 : g,X14 : g] : ((((X0 @ (X3 @ X13 @ X14))) = ((X5 @ (X0 @ X13) @ (X0 @ X14)))) | (($true != ((X2 @ X14))) | ($true != ((X2 @ X13))))) & ! [X15 : g] : (($true = ((X4 @ (X0 @ X15)))) | ($true != ((X2 @ X15)))) & ! [X16 : g] : (($true = ((X4 @ (X0 @ X16)))) | ($true != ((X2 @ X16)))) & ! [X17 : g] : (($true = ((X4 @ (X0 @ X17)))) | ($true != ((X2 @ X17)))) & ! [X18 : g,X19 : g] : (($true = ((X2 @ (X3 @ X18 @ X19)))) | (($true != ((X2 @ X19))) | ($true != ((X2 @ X18)))))))),
% 10.55/1.96 inference(ennf_transformation,[],[f5])).
% 10.55/1.96 thf(f7,plain,(
% 10.55/1.96 ? [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((? [X20 : g,X21 : g] : ((((X1 @ (X0 @ (X3 @ X20 @ X21)))) != ((X7 @ (X1 @ (X0 @ X20)) @ (X1 @ (X0 @ X21))))) & ($true = ((X2 @ X21))) & ($true = ((X2 @ X20))) & ($true = ((X2 @ X21))) & ($true = ((X2 @ X20)))) | ? [X22 : g] : (($true != ((X6 @ (X1 @ (X0 @ X22))))) & ($true = ((X2 @ X22)))) | ? [X23 : a,X24 : a] : (($true != ((X6 @ (X7 @ X23 @ X24)))) & ($true = ((X6 @ X24))) & ($true = ((X6 @ X23)))) | ? [X25 : g,X26 : g] : (($true != ((X2 @ (X3 @ X25 @ X26)))) & ($true = ((X2 @ X26))) & ($true = ((X2 @ X25))))) & ! [X8 : b,X9 : b] : ((((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9)))) | ($true != ((X4 @ X9))) | ($true != ((X4 @ X8)))) & ! [X10 : b] : (($true = ((X6 @ (X1 @ X10)))) | ($true != ((X4 @ X10)))) & ! [X11 : a,X12 : a] : (($true = ((X6 @ (X7 @ X11 @ X12)))) | ($true != ((X6 @ X12))) | ($true != ((X6 @ X11)))) & ! [X13 : g,X14 : g] : ((((X0 @ (X3 @ X13 @ X14))) = ((X5 @ (X0 @ X13) @ (X0 @ X14)))) | ($true != ((X2 @ X14))) | ($true != ((X2 @ X13)))) & ! [X15 : g] : (($true = ((X4 @ (X0 @ X15)))) | ($true != ((X2 @ X15)))) & ! [X16 : g] : (($true = ((X4 @ (X0 @ X16)))) | ($true != ((X2 @ X16)))) & ! [X17 : g] : (($true = ((X4 @ (X0 @ X17)))) | ($true != ((X2 @ X17)))) & ! [X18 : g,X19 : g] : (($true = ((X2 @ (X3 @ X18 @ X19)))) | ($true != ((X2 @ X19))) | ($true != ((X2 @ X18)))))),
% 10.55/1.96 inference(flattening,[],[f6])).
% 10.55/1.96 thf(f8,definition,(
% 10.55/1.96 ! [X0 : (g > b),X1 : (b > a),X7 : (a > a > a),X3 : (g > g > g),X2 : (g > $o)] : (? [X20 : g,X21 : g] : ((((X1 @ (X0 @ (X3 @ X20 @ X21)))) != ((X7 @ (X1 @ (X0 @ X20)) @ (X1 @ (X0 @ X21))))) & ($true = ((X2 @ X21))) & ($true = ((X2 @ X20))) & ($true = ((X2 @ X21))) & ($true = ((X2 @ X20)))) | ~ ($true = ((sP0 @ X2 @ X3 @ X7 @ X1 @ X0))))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 10.55/1.96 thf(f9,definition,(
% 10.55/1.96 ! [X3 : (g > g > g),X2 : (g > $o)] : (? [X25 : g,X26 : g] : (($true != ((X2 @ (X3 @ X25 @ X26)))) & ($true = ((X2 @ X26))) & ($true = ((X2 @ X25)))) | ~ ($true = ((sP1 @ X2 @ X3))))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 10.55/1.96 thf(f10,plain,(
% 10.55/1.96 ? [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((($true = ((sP0 @ X2 @ X3 @ X7 @ X1 @ X0))) | ? [X22 : g] : (($true != ((X6 @ (X1 @ (X0 @ X22))))) & ($true = ((X2 @ X22)))) | ? [X23 : a,X24 : a] : (($true != ((X6 @ (X7 @ X23 @ X24)))) & ($true = ((X6 @ X24))) & ($true = ((X6 @ X23)))) | ($true = ((sP1 @ X2 @ X3)))) & ! [X8 : b,X9 : b] : ((((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9)))) | ($true != ((X4 @ X9))) | ($true != ((X4 @ X8)))) & ! [X10 : b] : (($true = ((X6 @ (X1 @ X10)))) | ($true != ((X4 @ X10)))) & ! [X11 : a,X12 : a] : (($true = ((X6 @ (X7 @ X11 @ X12)))) | ($true != ((X6 @ X12))) | ($true != ((X6 @ X11)))) & ! [X13 : g,X14 : g] : ((((X0 @ (X3 @ X13 @ X14))) = ((X5 @ (X0 @ X13) @ (X0 @ X14)))) | ($true != ((X2 @ X14))) | ($true != ((X2 @ X13)))) & ! [X15 : g] : (($true = ((X4 @ (X0 @ X15)))) | ($true != ((X2 @ X15)))) & ! [X16 : g] : (($true = ((X4 @ (X0 @ X16)))) | ($true != ((X2 @ X16)))) & ! [X17 : g] : (($true = ((X4 @ (X0 @ X17)))) | ($true != ((X2 @ X17)))) & ! [X18 : g,X19 : g] : (($true = ((X2 @ (X3 @ X18 @ X19)))) | ($true != ((X2 @ X19))) | ($true != ((X2 @ X18)))))),
% 10.55/1.96 inference(definition_folding,[],[f7,f9,f8])).
% 10.55/1.96 thf(f11,plain,(
% 10.55/1.96 ! [X3 : (g > g > g),X2 : (g > $o)] : (? [X25 : g,X26 : g] : (($true != ((X2 @ (X3 @ X25 @ X26)))) & ($true = ((X2 @ X26))) & ($true = ((X2 @ X25)))) | ($true != ((sP1 @ X2 @ X3))))),
% 10.55/1.96 inference(nnf_transformation,[],[f9])).
% 10.55/1.96 thf(f12,plain,(
% 10.55/1.96 ! [X0 : (g > g > g),X1 : (g > $o)] : (? [X2 : g,X3 : g] : (($true != ((X1 @ (X0 @ X2 @ X3)))) & ($true = ((X1 @ X3))) & ($true = ((X1 @ X2)))) | ($true != ((sP1 @ X1 @ X0))))),
% 10.55/1.96 inference(rectify,[],[f11])).
% 10.55/1.96 thf(f13,plain,(
% 10.55/1.96 ! [X0 : (g > g > g),X1 : (g > $o)] : ((($true != ((X1 @ (X0 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0))))) & ($true = ((X1 @ (sK3 @ X1 @ X0)))) & ($true = ((X1 @ (sK2 @ X1 @ X0))))) | ($true != ((sP1 @ X1 @ X0))))),
% 10.55/1.96 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK3 @ X1 @ X0),skolemize(X3,sK3 @ X1 @ X0)],[f12])).
% 10.55/1.96 thf(f14,plain,(
% 10.55/1.96 ! [X0 : (g > b),X1 : (b > a),X7 : (a > a > a),X3 : (g > g > g),X2 : (g > $o)] : (? [X20 : g,X21 : g] : ((((X1 @ (X0 @ (X3 @ X20 @ X21)))) != ((X7 @ (X1 @ (X0 @ X20)) @ (X1 @ (X0 @ X21))))) & ($true = ((X2 @ X21))) & ($true = ((X2 @ X20))) & ($true = ((X2 @ X21))) & ($true = ((X2 @ X20)))) | ($true != ((sP0 @ X2 @ X3 @ X7 @ X1 @ X0))))),
% 10.55/1.96 inference(nnf_transformation,[],[f8])).
% 10.55/1.96 thf(f15,plain,(
% 10.55/1.96 ! [X0 : (g > b),X1 : (b > a),X2 : (a > a > a),X3 : (g > g > g),X4 : (g > $o)] : (? [X5 : g,X6 : g] : ((((X1 @ (X0 @ (X3 @ X5 @ X6)))) != ((X2 @ (X1 @ (X0 @ X5)) @ (X1 @ (X0 @ X6))))) & ($true = ((X4 @ X6))) & ($true = ((X4 @ X5))) & ($true = ((X4 @ X6))) & ($true = ((X4 @ X5)))) | ($true != ((sP0 @ X4 @ X3 @ X2 @ X1 @ X0))))),
% 10.55/1.96 inference(rectify,[],[f14])).
% 10.55/1.96 thf(f16,plain,(
% 10.55/1.96 ! [X0 : (g > b),X1 : (b > a),X2 : (a > a > a),X3 : (g > g > g),X4 : (g > $o)] : (((((X1 @ (X0 @ (X3 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0) @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0))))) != ((X2 @ (X1 @ (X0 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0))) @ (X1 @ (X0 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0)))))) & ($true = ((X4 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0)))) & ($true = ((X4 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0)))) & ($true = ((X4 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0)))) & ($true = ((X4 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0))))) | ($true != ((sP0 @ X4 @ X3 @ X2 @ X1 @ X0))))),
% 10.55/1.96 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK3 @ X1 @ X0),skolemize(X3,sK3 @ X1 @ X0)],[f15])).
% 10.55/1.96 thf(f17,plain,(
% 10.55/1.96 ? [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((($true = ((sP0 @ X2 @ X3 @ X7 @ X1 @ X0))) | ? [X8 : g] : (($true != ((X6 @ (X1 @ (X0 @ X8))))) & ($true = ((X2 @ X8)))) | ? [X9 : a,X10 : a] : (($true != ((X6 @ (X7 @ X9 @ X10)))) & ($true = ((X6 @ X10))) & ($true = ((X6 @ X9)))) | ($true = ((sP1 @ X2 @ X3)))) & ! [X11 : b,X12 : b] : ((((X1 @ (X5 @ X11 @ X12))) = ((X7 @ (X1 @ X11) @ (X1 @ X12)))) | ($true != ((X4 @ X12))) | ($true != ((X4 @ X11)))) & ! [X13 : b] : (($true = ((X6 @ (X1 @ X13)))) | ($true != ((X4 @ X13)))) & ! [X14 : a,X15 : a] : (($true = ((X6 @ (X7 @ X14 @ X15)))) | ($true != ((X6 @ X15))) | ($true != ((X6 @ X14)))) & ! [X16 : g,X17 : g] : ((((X0 @ (X3 @ X16 @ X17))) = ((X5 @ (X0 @ X16) @ (X0 @ X17)))) | ($true != ((X2 @ X17))) | ($true != ((X2 @ X16)))) & ! [X18 : g] : (($true = ((X4 @ (X0 @ X18)))) | ($true != ((X2 @ X18)))) & ! [X19 : g] : (($true = ((X4 @ (X0 @ X19)))) | ($true != ((X2 @ X19)))) & ! [X20 : g] : (($true = ((X4 @ (X0 @ X20)))) | ($true != ((X2 @ X20)))) & ! [X21 : g,X22 : g] : (($true = ((X2 @ (X3 @ X21 @ X22)))) | ($true != ((X2 @ X22))) | ($true != ((X2 @ X21)))))),
% 10.55/1.96 inference(rectify,[],[f10])).
% 10.55/1.96 thf(f18,plain,(
% 10.55/1.96 (($true = ((sP0 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))) | (($true != ((sK12 @ (sK7 @ (sK6 @ sK14))))) & ($true = ((sK8 @ sK14)))) | (($true != ((sK12 @ (sK13 @ sK15 @ sK16)))) & ($true = ((sK12 @ sK16))) & ($true = ((sK12 @ sK15)))) | ($true = ((sP1 @ sK8 @ sK9)))) & ! [X11 : b,X12 : b] : ((((sK7 @ (sK11 @ X11 @ X12))) = ((sK13 @ (sK7 @ X11) @ (sK7 @ X12)))) | ($true != ((sK10 @ X12))) | ($true != ((sK10 @ X11)))) & ! [X13 : b] : (($true = ((sK12 @ (sK7 @ X13)))) | ($true != ((sK10 @ X13)))) & ! [X14 : a,X15 : a] : (($true = ((sK12 @ (sK13 @ X14 @ X15)))) | ($true != ((sK12 @ X15))) | ($true != ((sK12 @ X14)))) & ! [X16 : g,X17 : g] : ((((sK6 @ (sK9 @ X16 @ X17))) = ((sK11 @ (sK6 @ X16) @ (sK6 @ X17)))) | ($true != ((sK8 @ X17))) | ($true != ((sK8 @ X16)))) & ! [X18 : g] : (($true = ((sK10 @ (sK6 @ X18)))) | ($true != ((sK8 @ X18)))) & ! [X19 : g] : (($true = ((sK10 @ (sK6 @ X19)))) | ($true != ((sK8 @ X19)))) & ! [X20 : g] : (($true = ((sK10 @ (sK6 @ X20)))) | ($true != ((sK8 @ X20)))) & ! [X21 : g,X22 : g] : (($true = ((sK8 @ (sK9 @ X21 @ X22)))) | ($true != ((sK8 @ X22))) | ($true != ((sK8 @ X21))))),
% 10.55/1.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9),skolemize(X4,sK10),skolemize(X5,sK11),skolemize(X6,sK12),skolemize(X7,sK13),skolemize(X8,sK14),skolemize(X9,sK15),skolemize(X10,sK16)],[f17])).
% 10.55/1.96 thf(f19,plain,(
% 10.55/1.96 ( ! [X0 : (g > g > g),X1 : (g > $o)] : (($true = ((X1 @ (sK2 @ X1 @ X0)))) | ($true != ((sP1 @ X1 @ X0)))) )),
% 10.55/1.96 inference(cnf_transformation,[],[f13])).
% 10.55/1.96 thf(f20,plain,(
% 10.55/1.96 ( ! [X0 : (g > g > g),X1 : (g > $o)] : (($true = ((X1 @ (sK3 @ X1 @ X0)))) | ($true != ((sP1 @ X1 @ X0)))) )),
% 10.55/1.96 inference(cnf_transformation,[],[f13])).
% 10.55/1.96 thf(f21,plain,(
% 10.55/1.96 ( ! [X0 : (g > g > g),X1 : (g > $o)] : (($true != ((X1 @ (X0 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0))))) | ($true != ((sP1 @ X1 @ X0)))) )),
% 10.55/1.96 inference(cnf_transformation,[],[f13])).
% 10.55/1.96 thf(f22,plain,(
% 10.55/1.96 ( ! [X2 : (a > a > a),X3 : (g > g > g),X0 : (g > b),X1 : (b > a),X4 : (g > $o)] : (($true = ((X4 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0)))) | ($true != ((sP0 @ X4 @ X3 @ X2 @ X1 @ X0)))) )),
% 10.55/1.96 inference(cnf_transformation,[],[f16])).
% 10.55/1.96 thf(f23,plain,(
% 10.55/1.96 ( ! [X2 : (a > a > a),X3 : (g > g > g),X0 : (g > b),X1 : (b > a),X4 : (g > $o)] : (($true = ((X4 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0)))) | ($true != ((sP0 @ X4 @ X3 @ X2 @ X1 @ X0)))) )),
% 10.55/1.96 inference(cnf_transformation,[],[f16])).
% 10.55/1.96 thf(f26,plain,(
% 10.55/1.96 ( ! [X2 : (a > a > a),X3 : (g > g > g),X0 : (g > b),X1 : (b > a),X4 : (g > $o)] : (($true != ((sP0 @ X4 @ X3 @ X2 @ X1 @ X0))) | (((X1 @ (X0 @ (X3 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0) @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0))))) != ((X2 @ (X1 @ (X0 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0))) @ (X1 @ (X0 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0))))))) )),
% 10.55/1.96 inference(cnf_transformation,[],[f16])).
% 10.55/1.96 thf(f27,plain,(
% 10.55/1.96 ( ! [X21 : g,X22 : g] : (($true = ((sK8 @ (sK9 @ X21 @ X22)))) | ($true != ((sK8 @ X22))) | ($true != ((sK8 @ X21)))) )),
% 10.55/1.96 inference(cnf_transformation,[],[f18])).
% 10.55/1.96 thf(f28,plain,(
% 10.55/1.96 ( ! [X20 : g] : (($true = ((sK10 @ (sK6 @ X20)))) | ($true != ((sK8 @ X20)))) )),
% 10.55/1.96 inference(cnf_transformation,[],[f18])).
% 10.55/1.96 thf(f31,plain,(
% 10.55/1.96 ( ! [X16 : g,X17 : g] : ((((sK6 @ (sK9 @ X16 @ X17))) = ((sK11 @ (sK6 @ X16) @ (sK6 @ X17)))) | ($true != ((sK8 @ X17))) | ($true != ((sK8 @ X16)))) )),
% 10.55/1.96 inference(cnf_transformation,[],[f18])).
% 10.55/1.96 thf(f32,plain,(
% 10.55/1.96 ( ! [X14 : a,X15 : a] : (($true = ((sK12 @ (sK13 @ X14 @ X15)))) | ($true != ((sK12 @ X15))) | ($true != ((sK12 @ X14)))) )),
% 10.55/1.96 inference(cnf_transformation,[],[f18])).
% 10.55/1.96 thf(f33,plain,(
% 10.55/1.96 ( ! [X13 : b] : (($true = ((sK12 @ (sK7 @ X13)))) | ($true != ((sK10 @ X13)))) )),
% 10.55/1.96 inference(cnf_transformation,[],[f18])).
% 10.55/1.96 thf(f34,plain,(
% 10.55/1.96 ( ! [X11 : b,X12 : b] : ((((sK7 @ (sK11 @ X11 @ X12))) = ((sK13 @ (sK7 @ X11) @ (sK7 @ X12)))) | ($true != ((sK10 @ X12))) | ($true != ((sK10 @ X11)))) )),
% 10.55/1.96 inference(cnf_transformation,[],[f18])).
% 10.55/1.96 thf(f35,plain,(
% 10.55/1.96 ($true = ((sP0 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))) | ($true = ((sK8 @ sK14))) | ($true = ((sK12 @ sK15))) | ($true = ((sP1 @ sK8 @ sK9)))),
% 10.55/1.96 inference(cnf_transformation,[],[f18])).
% 10.55/1.96 thf(f36,plain,(
% 10.55/1.96 ($true = ((sP0 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))) | ($true = ((sK8 @ sK14))) | ($true = ((sK12 @ sK16))) | ($true = ((sP1 @ sK8 @ sK9)))),
% 10.55/1.96 inference(cnf_transformation,[],[f18])).
% 10.55/1.96 thf(f37,plain,(
% 10.55/1.96 ($true = ((sP0 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))) | ($true = ((sK8 @ sK14))) | ($true != ((sK12 @ (sK13 @ sK15 @ sK16)))) | ($true = ((sP1 @ sK8 @ sK9)))),
% 10.55/1.96 inference(cnf_transformation,[],[f18])).
% 10.55/1.96 thf(f38,plain,(
% 10.55/1.96 ($true = ((sP0 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))) | ($true != ((sK12 @ (sK7 @ (sK6 @ sK14))))) | ($true = ((sK12 @ sK15))) | ($true = ((sP1 @ sK8 @ sK9)))),
% 10.55/1.96 inference(cnf_transformation,[],[f18])).
% 10.55/1.96 thf(f39,plain,(
% 10.55/1.96 ($true = ((sP0 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))) | ($true != ((sK12 @ (sK7 @ (sK6 @ sK14))))) | ($true = ((sK12 @ sK16))) | ($true = ((sP1 @ sK8 @ sK9)))),
% 10.55/1.96 inference(cnf_transformation,[],[f18])).
% 10.55/1.96 thf(f40,plain,(
% 10.55/1.96 ($true = ((sP0 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))) | ($true != ((sK12 @ (sK7 @ (sK6 @ sK14))))) | ($true != ((sK12 @ (sK13 @ sK15 @ sK16)))) | ($true = ((sP1 @ sK8 @ sK9)))),
% 10.55/1.96 inference(cnf_transformation,[],[f18])).
% 10.55/1.96 thf(f42,definition,(
% 10.55/1.96 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 10.55/1.96 introduced(theory,[fool_exhaustiveness_axiom])).
% 10.55/1.96 thf(f44,definition,(
% 10.55/1.96 spl17_1 <=> ($true = ((sP1 @ sK8 @ sK9)))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition])).
% 10.55/1.96 thf(f46,plain,(
% 10.55/1.96 ($true = ((sP1 @ sK8 @ sK9))) | ~spl17_1),
% 10.55/1.96 inference(avatar_component_clause,[],[f44])).
% 10.55/1.96 thf(f48,definition,(
% 10.55/1.96 spl17_2 <=> ($true = ((sK12 @ sK15)))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition])).
% 10.55/1.96 thf(f52,definition,(
% 10.55/1.96 spl17_3 <=> ($true = ((sK8 @ sK14)))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition])).
% 10.55/1.96 thf(f56,definition,(
% 10.55/1.96 spl17_4 <=> ($true = ((sP0 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition])).
% 10.55/1.96 thf(f58,plain,(
% 10.55/1.96 ($true = ((sP0 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))) | ~spl17_4),
% 10.55/1.96 inference(avatar_component_clause,[],[f56])).
% 10.55/1.96 thf(f59,plain,(
% 10.55/1.96 spl17_1 | spl17_2 | spl17_3 | spl17_4),
% 10.55/1.96 inference(avatar_split_clause,[],[f35,f56,f52,f48,f44])).
% 10.55/1.96 thf(f61,definition,(
% 10.55/1.96 spl17_5 <=> ($true = ((sK12 @ sK16)))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition])).
% 10.55/1.96 thf(f64,plain,(
% 10.55/1.96 spl17_1 | spl17_5 | spl17_3 | spl17_4),
% 10.55/1.96 inference(avatar_split_clause,[],[f36,f56,f52,f61,f44])).
% 10.55/1.96 thf(f66,definition,(
% 10.55/1.96 spl17_6 <=> ($true = ((sK12 @ (sK13 @ sK15 @ sK16))))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition])).
% 10.55/1.96 thf(f68,plain,(
% 10.55/1.96 ($true != ((sK12 @ (sK13 @ sK15 @ sK16)))) | spl17_6),
% 10.55/1.96 inference(avatar_component_clause,[],[f66])).
% 10.55/1.96 thf(f69,plain,(
% 10.55/1.96 spl17_1 | ~spl17_6 | spl17_3 | spl17_4),
% 10.55/1.96 inference(avatar_split_clause,[],[f37,f56,f52,f66,f44])).
% 10.55/1.96 thf(f71,definition,(
% 10.55/1.96 spl17_7 <=> ($true = ((sK12 @ (sK7 @ (sK6 @ sK14)))))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition])).
% 10.55/1.96 thf(f73,plain,(
% 10.55/1.96 ($true != ((sK12 @ (sK7 @ (sK6 @ sK14))))) | spl17_7),
% 10.55/1.96 inference(avatar_component_clause,[],[f71])).
% 10.55/1.96 thf(f74,plain,(
% 10.55/1.96 spl17_1 | spl17_2 | ~spl17_7 | spl17_4),
% 10.55/1.96 inference(avatar_split_clause,[],[f38,f56,f71,f48,f44])).
% 10.55/1.96 thf(f75,plain,(
% 10.55/1.96 spl17_1 | spl17_5 | ~spl17_7 | spl17_4),
% 10.55/1.96 inference(avatar_split_clause,[],[f39,f56,f71,f61,f44])).
% 10.55/1.96 thf(f76,plain,(
% 10.55/1.96 spl17_1 | ~spl17_6 | ~spl17_7 | spl17_4),
% 10.55/1.96 inference(avatar_split_clause,[],[f40,f56,f71,f66,f44])).
% 10.55/1.96 thf(f136,plain,(
% 10.55/1.96 ( ! [X2 : g,X0 : (g > g > g),X1 : g] : (($true != $true) | ($true != ((sP1 @ (^[Y0 : g]: (sK8 @ ((^[Y1 : g]: (Y1)) @ Y0))) @ X0))) | ($true != ((sK8 @ X2))) | ($true != ((sK8 @ X1))) | (((X0 @ (sK2 @ sK8 @ X0) @ (sK3 @ sK8 @ X0))) != ((sK9 @ X1 @ X2)))) )),
% 10.55/1.96 inference(constrained_superposition,[],[f21,f27])).
% 10.55/1.96 thf(f192,plain,(
% 10.55/1.96 ( ! [X2 : g,X0 : (g > g > g),X1 : g] : (($true != ((sP1 @ (^[Y0 : g]: (sK8 @ ((^[Y1 : g]: (Y1)) @ Y0))) @ X0))) | ($true != ((sK8 @ X2))) | ($true != ((sK8 @ X1))) | (((X0 @ (sK2 @ sK8 @ X0) @ (sK3 @ sK8 @ X0))) != ((sK9 @ X1 @ X2)))) )),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f136])).
% 10.55/1.96 thf(f193,plain,(
% 10.55/1.96 ( ! [X2 : g,X0 : (g > g > g),X1 : g] : ((((X0 @ (sK2 @ sK8 @ X0) @ (sK3 @ sK8 @ X0))) != ((sK9 @ X1 @ X2))) | ($true != ((sK8 @ X2))) | ($true != ((sK8 @ X1))) | ($true != ((sP1 @ sK8 @ X0)))) )),
% 10.55/1.96 inference(beta-eta_normalization,[],[f192])).
% 10.55/1.96 thf(f427,plain,(
% 10.55/1.96 ($true != $true) | (((sK7 @ (sK6 @ (sK9 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6) @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))) != ((sK13 @ (sK7 @ (sK6 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))) @ (sK7 @ (sK6 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))))) | ~spl17_4),
% 10.55/1.96 inference(constrained_superposition,[],[f26,f58])).
% 10.55/1.96 thf(f428,plain,(
% 10.55/1.96 (((sK7 @ (sK6 @ (sK9 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6) @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))) != ((sK13 @ (sK7 @ (sK6 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))) @ (sK7 @ (sK6 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))))) | ~spl17_4),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f427])).
% 10.55/1.96 thf(f493,plain,(
% 10.55/1.96 ( ! [X2 : (g > g > g),X3 : (g > g > g),X0 : g,X1 : g] : (($true != ((sP1 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ (X2 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1)))))))) | ($true != ((sK8 @ X1))) | ($true != ((sK8 @ X0))) | (((X3 @ (sK2 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ (X2 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1)))))) @ (sK3 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ (X2 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1)))))))) != X0) | (((X2 @ (sK2 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ (X2 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1)))))) @ (sK3 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ (X2 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1)))))))) != X1)) )),
% 10.55/1.96 inference(equality_resolution,[],[f193])).
% 10.55/1.96 thf(f768,plain,(
% 10.55/1.96 (((sK7 @ (sK6 @ (sK9 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6) @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))) != ((sK7 @ (sK11 @ (sK6 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)) @ (sK6 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))))) | ($true != ((sK10 @ (sK6 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))) | ($true != ((sK10 @ (sK6 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))) | ~spl17_4),
% 10.55/1.96 inference(constrained_superposition,[],[f428,f34])).
% 10.55/1.96 thf(f770,definition,(
% 10.55/1.96 spl17_15 <=> ($true = ((sK10 @ (sK6 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition])).
% 10.55/1.96 thf(f772,plain,(
% 10.55/1.96 ($true != ((sK10 @ (sK6 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))) | spl17_15),
% 10.55/1.96 inference(avatar_component_clause,[],[f770])).
% 10.55/1.96 thf(f774,definition,(
% 10.55/1.96 spl17_16 <=> ($true = ((sK10 @ (sK6 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_16])],[avatar_definition])).
% 10.55/1.96 thf(f776,plain,(
% 10.55/1.96 ($true != ((sK10 @ (sK6 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))) | spl17_16),
% 10.55/1.96 inference(avatar_component_clause,[],[f774])).
% 10.55/1.96 thf(f778,definition,(
% 10.55/1.96 spl17_17 <=> (((sK7 @ (sK6 @ (sK9 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6) @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))) = ((sK7 @ (sK11 @ (sK6 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)) @ (sK6 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_17])],[avatar_definition])).
% 10.55/1.96 thf(f780,plain,(
% 10.55/1.96 (((sK7 @ (sK6 @ (sK9 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6) @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))) != ((sK7 @ (sK11 @ (sK6 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)) @ (sK6 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))))) | spl17_17),
% 10.55/1.96 inference(avatar_component_clause,[],[f778])).
% 10.55/1.96 thf(f781,plain,(
% 10.55/1.96 ~spl17_15 | ~spl17_16 | ~spl17_17 | ~spl17_4),
% 10.55/1.96 inference(avatar_split_clause,[],[f768,f56,f778,f774,f770])).
% 10.55/1.96 thf(f3846,plain,(
% 10.55/1.96 ( ! [X0 : g,X1 : g] : (($true != $true) | ($true != ((sK8 @ X0))) | ($true != ((sK8 @ X1))) | ((((^[Y0 : g]: ((^[Y1 : g]: (Y1)))) @ (sK2 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ ((^[Y2 : g]: ((^[Y3 : g]: (Y2)))) @ Y0 @ Y1) @ ((^[Y2 : g]: ((^[Y3 : g]: (Y3)))) @ Y0 @ Y1)))))) @ (sK3 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ ((^[Y2 : g]: ((^[Y3 : g]: (Y2)))) @ Y0 @ Y1) @ ((^[Y2 : g]: ((^[Y3 : g]: (Y3)))) @ Y0 @ Y1)))))))) != X1) | ((((^[Y0 : g]: ((^[Y1 : g]: (Y0)))) @ (sK2 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ ((^[Y2 : g]: ((^[Y3 : g]: (Y2)))) @ Y0 @ Y1) @ ((^[Y2 : g]: ((^[Y3 : g]: (Y3)))) @ Y0 @ Y1)))))) @ (sK3 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ ((^[Y2 : g]: ((^[Y3 : g]: (Y2)))) @ Y0 @ Y1) @ ((^[Y2 : g]: ((^[Y3 : g]: (Y3)))) @ Y0 @ Y1)))))))) != X0)) ) | ~spl17_1),
% 10.55/1.96 inference(constrained_superposition,[],[f493,f46])).
% 10.55/1.96 thf(f3847,plain,(
% 10.55/1.96 ( ! [X0 : g,X1 : g] : (($true != ((sK8 @ X0))) | ($true != ((sK8 @ X1))) | ((((^[Y0 : g]: ((^[Y1 : g]: (Y1)))) @ (sK2 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ ((^[Y2 : g]: ((^[Y3 : g]: (Y2)))) @ Y0 @ Y1) @ ((^[Y2 : g]: ((^[Y3 : g]: (Y3)))) @ Y0 @ Y1)))))) @ (sK3 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ ((^[Y2 : g]: ((^[Y3 : g]: (Y2)))) @ Y0 @ Y1) @ ((^[Y2 : g]: ((^[Y3 : g]: (Y3)))) @ Y0 @ Y1)))))))) != X1) | ((((^[Y0 : g]: ((^[Y1 : g]: (Y0)))) @ (sK2 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ ((^[Y2 : g]: ((^[Y3 : g]: (Y2)))) @ Y0 @ Y1) @ ((^[Y2 : g]: ((^[Y3 : g]: (Y3)))) @ Y0 @ Y1)))))) @ (sK3 @ sK8 @ (^[Y0 : g]: ((^[Y1 : g]: (sK9 @ ((^[Y2 : g]: ((^[Y3 : g]: (Y2)))) @ Y0 @ Y1) @ ((^[Y2 : g]: ((^[Y3 : g]: (Y3)))) @ Y0 @ Y1)))))))) != X0)) ) | ~spl17_1),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f3846])).
% 10.55/1.96 thf(f3848,plain,(
% 10.55/1.96 ( ! [X0 : g,X1 : g] : (($true != ((sK8 @ X0))) | ($true != ((sK8 @ X1))) | (((sK3 @ sK8 @ sK9)) != X1) | (((sK2 @ sK8 @ sK9)) != X0)) ) | ~spl17_1),
% 10.55/1.96 inference(beta-eta_normalization,[],[f3847])).
% 10.55/1.96 thf(f3867,definition,(
% 10.55/1.96 spl17_19 <=> ! [X1 : g] : (($true != ((sK8 @ X1))) | (((sK3 @ sK8 @ sK9)) != X1))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_19])],[avatar_definition])).
% 10.55/1.96 thf(f3868,plain,(
% 10.55/1.96 ( ! [X1 : g] : ((((sK3 @ sK8 @ sK9)) != X1) | ($true != ((sK8 @ X1)))) ) | ~spl17_19),
% 10.55/1.96 inference(avatar_component_clause,[],[f3867])).
% 10.55/1.96 thf(f3870,definition,(
% 10.55/1.96 spl17_20 <=> ! [X0 : g] : (($true != ((sK8 @ X0))) | (((sK2 @ sK8 @ sK9)) != X0))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_20])],[avatar_definition])).
% 10.55/1.96 thf(f3871,plain,(
% 10.55/1.96 ( ! [X0 : g] : ((((sK2 @ sK8 @ sK9)) != X0) | ($true != ((sK8 @ X0)))) ) | ~spl17_20),
% 10.55/1.96 inference(avatar_component_clause,[],[f3870])).
% 10.55/1.96 thf(f3872,plain,(
% 10.55/1.96 spl17_19 | spl17_20 | ~spl17_1),
% 10.55/1.96 inference(avatar_split_clause,[],[f3848,f44,f3870,f3867])).
% 10.55/1.96 thf(f3873,plain,(
% 10.55/1.96 ($true != ((sK8 @ (sK3 @ sK8 @ sK9)))) | ~spl17_19),
% 10.55/1.96 inference(equality_resolution,[],[f3868])).
% 10.55/1.96 thf(f3874,plain,(
% 10.55/1.96 (((sK7 @ (sK6 @ (sK9 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6) @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))) != ((sK7 @ (sK6 @ (sK9 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6) @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))))) | ($true != ((sK8 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))) | ($true != ((sK8 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))) | spl17_17),
% 10.55/1.96 inference(constrained_superposition,[],[f780,f31])).
% 10.55/1.96 thf(f3875,plain,(
% 10.55/1.96 ($true != ((sK8 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))) | ($true != ((sK8 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))) | spl17_17),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f3874])).
% 10.55/1.96 thf(f3877,definition,(
% 10.55/1.96 spl17_21 <=> ($true = ((sK8 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_21])],[avatar_definition])).
% 10.55/1.96 thf(f3879,plain,(
% 10.55/1.96 ($true != ((sK8 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))) | spl17_21),
% 10.55/1.96 inference(avatar_component_clause,[],[f3877])).
% 10.55/1.96 thf(f3881,definition,(
% 10.55/1.96 spl17_22 <=> ($true = ((sK8 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6))))),
% 10.55/1.96 introduced(definition,[new_symbols(definition,[spl17_22])],[avatar_definition])).
% 10.55/1.96 thf(f3883,plain,(
% 10.55/1.96 ($true != ((sK8 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))) | spl17_22),
% 10.55/1.96 inference(avatar_component_clause,[],[f3881])).
% 10.55/1.96 thf(f3887,plain,(
% 10.55/1.96 ( ! [X0 : (g > g > g)] : (($true != $true) | ($true != ((sP1 @ (^[Y0 : g]: (sK8 @ ((^[Y1 : g]: (Y1)) @ Y0))) @ X0))) | (sK9 != X0)) ) | ~spl17_19),
% 10.55/1.96 inference(constrained_superposition,[],[f3873,f20])).
% 10.55/1.96 thf(f3911,plain,(
% 10.55/1.96 ( ! [X0 : (g > g > g)] : (($true != ((sP1 @ (^[Y0 : g]: (sK8 @ ((^[Y1 : g]: (Y1)) @ Y0))) @ X0))) | (sK9 != X0)) ) | ~spl17_19),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f3887])).
% 10.55/1.96 thf(f3912,plain,(
% 10.55/1.96 ( ! [X0 : (g > g > g)] : (($true != ((sP1 @ sK8 @ X0))) | (sK9 != X0)) ) | ~spl17_19),
% 10.55/1.96 inference(beta-eta_normalization,[],[f3911])).
% 10.55/1.96 thf(f4023,plain,(
% 10.55/1.96 ($true != ((sK8 @ (sK2 @ sK8 @ sK9)))) | ~spl17_20),
% 10.55/1.96 inference(equality_resolution,[],[f3871])).
% 10.55/1.96 thf(f4025,plain,(
% 10.55/1.96 ( ! [X0 : (g > g > g)] : (($true != $true) | ($true != ((sP1 @ (^[Y0 : g]: (sK8 @ ((^[Y1 : g]: (Y1)) @ Y0))) @ X0))) | (sK9 != X0)) ) | ~spl17_20),
% 10.55/1.96 inference(constrained_superposition,[],[f4023,f19])).
% 10.55/1.96 thf(f4052,plain,(
% 10.55/1.96 ( ! [X0 : (g > g > g)] : (($true != ((sP1 @ (^[Y0 : g]: (sK8 @ ((^[Y1 : g]: (Y1)) @ Y0))) @ X0))) | (sK9 != X0)) ) | ~spl17_20),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f4025])).
% 10.55/1.96 thf(f4053,plain,(
% 10.55/1.96 ( ! [X0 : (g > g > g)] : (($true != ((sP1 @ sK8 @ X0))) | (sK9 != X0)) ) | ~spl17_20),
% 10.55/1.96 inference(beta-eta_normalization,[],[f4052])).
% 10.55/1.96 thf(f4146,plain,(
% 10.55/1.96 ($true != $true) | (sK9 != sK9) | (~spl17_1 | ~spl17_19)),
% 10.55/1.96 inference(constrained_superposition,[],[f3912,f46])).
% 10.55/1.96 thf(f4148,plain,(
% 10.55/1.96 $false | (~spl17_1 | ~spl17_19)),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f4146])).
% 10.55/1.96 thf(f4149,plain,(
% 10.55/1.96 ~spl17_1 | ~spl17_19),
% 10.55/1.96 inference(avatar_contradiction_clause,[],[f4148])).
% 10.55/1.96 thf(f4201,plain,(
% 10.55/1.96 ($true != $true) | (sK9 != sK9) | (~spl17_1 | ~spl17_20)),
% 10.55/1.96 inference(constrained_superposition,[],[f4053,f46])).
% 10.55/1.96 thf(f4203,plain,(
% 10.55/1.96 $false | (~spl17_1 | ~spl17_20)),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f4201])).
% 10.55/1.96 thf(f4204,plain,(
% 10.55/1.96 ~spl17_1 | ~spl17_20),
% 10.55/1.96 inference(avatar_contradiction_clause,[],[f4203])).
% 10.55/1.96 thf(f4344,plain,(
% 10.55/1.96 ($true != $true) | ($true != ((sK10 @ (sK6 @ sK14)))) | spl17_7),
% 10.55/1.96 inference(constrained_superposition,[],[f73,f33])).
% 10.55/1.96 thf(f4345,plain,(
% 10.55/1.96 ($true != ((sK10 @ (sK6 @ sK14)))) | spl17_7),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f4344])).
% 10.55/1.96 thf(f4410,plain,(
% 10.55/1.96 ($true != $true) | (((sK12 @ (sK13 @ sK15 @ sK16))) = $false) | spl17_6),
% 10.55/1.96 inference(constrained_superposition,[],[f68,f42])).
% 10.55/1.96 thf(f4436,plain,(
% 10.55/1.96 (((sK12 @ (sK13 @ sK15 @ sK16))) = $false) | spl17_6),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f4410])).
% 10.55/1.96 thf(f4511,plain,(
% 10.55/1.96 ($true != $true) | ($true != ((sK8 @ sK14))) | spl17_7),
% 10.55/1.96 inference(constrained_superposition,[],[f4345,f28])).
% 10.55/1.96 thf(f4512,plain,(
% 10.55/1.96 ($true != ((sK8 @ sK14))) | spl17_7),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f4511])).
% 10.55/1.96 thf(f4616,plain,(
% 10.55/1.96 ($true = $false) | ($true != ((sK12 @ sK16))) | ($true != ((sK12 @ sK15))) | spl17_6),
% 10.55/1.96 inference(constrained_superposition,[],[f4436,f32])).
% 10.55/1.96 thf(f4638,plain,(
% 10.55/1.96 ($true != ((sK12 @ sK16))) | ($true != ((sK12 @ sK15))) | spl17_6),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f4616])).
% 10.55/1.96 thf(f5318,plain,(
% 10.55/1.96 ( ! [X2 : (b > a),X3 : (g > b),X0 : (g > g > g),X1 : (a > a > a)] : (($true != $true) | ($true != ((sP0 @ (^[Y0 : g]: (sK8 @ ((^[Y1 : g]: (Y1)) @ Y0))) @ X0 @ X1 @ X2 @ X3))) | (sK9 != X0) | (sK13 != X1) | (sK7 != X2) | (sK6 != X3)) ) | spl17_21),
% 10.55/1.96 inference(constrained_superposition,[],[f3879,f22])).
% 10.55/1.96 thf(f5335,plain,(
% 10.55/1.96 ( ! [X2 : (b > a),X3 : (g > b),X0 : (g > g > g),X1 : (a > a > a)] : (($true != ((sP0 @ (^[Y0 : g]: (sK8 @ ((^[Y1 : g]: (Y1)) @ Y0))) @ X0 @ X1 @ X2 @ X3))) | (sK9 != X0) | (sK13 != X1) | (sK7 != X2) | (sK6 != X3)) ) | spl17_21),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f5318])).
% 10.55/1.96 thf(f5336,plain,(
% 10.55/1.96 ( ! [X2 : (b > a),X3 : (g > b),X0 : (g > g > g),X1 : (a > a > a)] : (($true != ((sP0 @ sK8 @ X0 @ X1 @ X2 @ X3))) | (sK9 != X0) | (sK13 != X1) | (sK7 != X2) | (sK6 != X3)) ) | spl17_21),
% 10.55/1.96 inference(beta-eta_normalization,[],[f5335])).
% 10.55/1.96 thf(f5354,plain,(
% 10.55/1.96 ( ! [X2 : (b > a),X3 : (g > b),X0 : (g > g > g),X1 : (a > a > a)] : (($true != $true) | ($true != ((sP0 @ (^[Y0 : g]: (sK8 @ ((^[Y1 : g]: (Y1)) @ Y0))) @ X0 @ X1 @ X2 @ X3))) | (sK9 != X0) | (sK13 != X1) | (sK7 != X2) | (sK6 != X3)) ) | spl17_22),
% 10.55/1.96 inference(constrained_superposition,[],[f3883,f23])).
% 10.55/1.96 thf(f5368,plain,(
% 10.55/1.96 ( ! [X2 : (b > a),X3 : (g > b),X0 : (g > g > g),X1 : (a > a > a)] : (($true != ((sP0 @ (^[Y0 : g]: (sK8 @ ((^[Y1 : g]: (Y1)) @ Y0))) @ X0 @ X1 @ X2 @ X3))) | (sK9 != X0) | (sK13 != X1) | (sK7 != X2) | (sK6 != X3)) ) | spl17_22),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f5354])).
% 10.55/1.96 thf(f5369,plain,(
% 10.55/1.96 ( ! [X2 : (b > a),X3 : (g > b),X0 : (g > g > g),X1 : (a > a > a)] : (($true != ((sP0 @ sK8 @ X0 @ X1 @ X2 @ X3))) | (sK9 != X0) | (sK13 != X1) | (sK7 != X2) | (sK6 != X3)) ) | spl17_22),
% 10.55/1.96 inference(beta-eta_normalization,[],[f5368])).
% 10.55/1.96 thf(f5607,plain,(
% 10.55/1.96 ($true != $true) | ($true != ((sK8 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))) | spl17_15),
% 10.55/1.96 inference(constrained_superposition,[],[f772,f28])).
% 10.55/1.96 thf(f5610,plain,(
% 10.55/1.96 ($true != ((sK8 @ (sK4 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))) | spl17_15),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f5607])).
% 10.55/1.96 thf(f5636,plain,(
% 10.55/1.96 ($true != $true) | ($true != ((sK8 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))) | spl17_16),
% 10.55/1.96 inference(constrained_superposition,[],[f776,f28])).
% 10.55/1.96 thf(f5639,plain,(
% 10.55/1.96 ($true != ((sK8 @ (sK5 @ sK8 @ sK9 @ sK13 @ sK7 @ sK6)))) | spl17_16),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f5636])).
% 10.55/1.96 thf(f6183,plain,(
% 10.55/1.96 ($true != $true) | (sK9 != sK9) | (sK13 != sK13) | (sK7 != sK7) | (sK6 != sK6) | (~spl17_4 | spl17_21)),
% 10.55/1.96 inference(constrained_superposition,[],[f5336,f58])).
% 10.55/1.96 thf(f6184,plain,(
% 10.55/1.96 $false | (~spl17_4 | spl17_21)),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f6183])).
% 10.55/1.96 thf(f6185,plain,(
% 10.55/1.96 ~spl17_4 | spl17_21),
% 10.55/1.96 inference(avatar_contradiction_clause,[],[f6184])).
% 10.55/1.96 thf(f6201,plain,(
% 10.55/1.96 ~spl17_21 | spl17_15),
% 10.55/1.96 inference(avatar_split_clause,[],[f5610,f770,f3877])).
% 10.55/1.96 thf(f6312,plain,(
% 10.55/1.96 ($true != $true) | (sK9 != sK9) | (sK13 != sK13) | (sK7 != sK7) | (sK6 != sK6) | (~spl17_4 | spl17_22)),
% 10.55/1.96 inference(constrained_superposition,[],[f5369,f58])).
% 10.55/1.96 thf(f6313,plain,(
% 10.55/1.96 $false | (~spl17_4 | spl17_22)),
% 10.55/1.96 inference(trivial_inequality_removal,[],[f6312])).
% 10.55/1.96 thf(f6314,plain,(
% 10.55/1.96 ~spl17_4 | spl17_22),
% 10.55/1.96 inference(avatar_contradiction_clause,[],[f6313])).
% 10.55/1.96 thf(f6330,plain,(
% 10.55/1.96 ~spl17_22 | spl17_16),
% 10.55/1.96 inference(avatar_split_clause,[],[f5639,f774,f3881])).
% 10.55/1.96 thf(f6334,plain,(
% 10.55/1.96 ~spl17_21 | ~spl17_22 | spl17_17),
% 10.55/1.96 inference(avatar_split_clause,[],[f3875,f778,f3881,f3877])).
% 10.55/1.96 thf(f6335,plain,(
% 10.55/1.96 ~spl17_3 | spl17_7),
% 10.55/1.96 inference(avatar_split_clause,[],[f4512,f71,f52])).
% 10.55/1.96 thf(f6338,plain,(
% 10.55/1.96 ~spl17_2 | ~spl17_5 | spl17_6),
% 10.55/1.96 inference(avatar_split_clause,[],[f4638,f66,f61,f48])).
% 10.55/1.96 cnf(s1, plain, spl17_1 | spl17_2 | spl17_3 | spl17_4, inference(sat_conversion,[],[f59])).
% 10.55/1.96 cnf(s2, plain, spl17_1 | spl17_3 | spl17_4 | spl17_5, inference(sat_conversion,[],[f64])).
% 10.55/1.96 cnf(s3, plain, spl17_1 | spl17_3 | spl17_4 | ~spl17_6, inference(sat_conversion,[],[f69])).
% 10.55/1.96 cnf(s4, plain, spl17_1 | spl17_2 | spl17_4 | ~spl17_7, inference(sat_conversion,[],[f74])).
% 10.55/1.96 cnf(s5, plain, spl17_1 | spl17_4 | spl17_5 | ~spl17_7, inference(sat_conversion,[],[f75])).
% 10.55/1.96 cnf(s6, plain, spl17_1 | spl17_4 | ~spl17_6 | ~spl17_7, inference(sat_conversion,[],[f76])).
% 10.55/1.96 cnf(s22, plain, ~spl17_4 | ~spl17_15 | ~spl17_16 | ~spl17_17, inference(sat_conversion,[],[f781])).
% 10.55/1.96 cnf(s26, plain, ~spl17_1 | spl17_19 | spl17_20, inference(sat_conversion,[],[f3872])).
% 10.55/1.96 cnf(s28, plain, ~spl17_1 | ~spl17_19, inference(sat_conversion,[],[f4149])).
% 10.55/1.96 cnf(s29, plain, ~spl17_1 | ~spl17_20, inference(sat_conversion,[],[f4204])).
% 10.55/1.96 cnf(s30, plain, ~spl17_4 | spl17_21, inference(sat_conversion,[],[f6185])).
% 10.55/1.96 cnf(s31, plain, spl17_15 | ~spl17_21, inference(sat_conversion,[],[f6201])).
% 10.55/1.96 cnf(s34, plain, ~spl17_4 | spl17_22, inference(sat_conversion,[],[f6314])).
% 10.55/1.96 cnf(s35, plain, spl17_16 | ~spl17_22, inference(sat_conversion,[],[f6330])).
% 10.55/1.96 cnf(s44, plain, spl17_17 | ~spl17_21 | ~spl17_22, inference(sat_conversion,[],[f6334])).
% 10.55/1.96 cnf(s45, plain, ~spl17_3 | spl17_7, inference(sat_conversion,[],[f6335])).
% 10.55/1.96 cnf(s50, plain, ~spl17_2 | ~spl17_5 | spl17_6, inference(sat_conversion,[],[f6338])).
% 10.55/1.96 cnf(s51, plain, ~spl17_4, inference(rat,[],[s22,s31,s44,s35,s30,s34])).
% 10.55/1.96 cnf(s52, plain, spl17_2 | spl17_1, inference(rat,[],[s45,s4,s1,s51])).
% 10.55/1.96 cnf(s53, plain, spl17_3 | spl17_1, inference(rat,[],[s50,s2,s3,s52,s51])).
% 10.55/1.96 cnf(s54, plain, spl17_1, inference(rat,[],[s50,s5,s6,s45,s53,s52,s51])).
% 10.55/1.96 cnf(s55, plain, ~spl17_20, inference(rat,[],[s29,s54])).
% 10.55/1.96 cnf(s56, plain, ~spl17_19, inference(rat,[],[s28,s54])).
% 10.55/1.96 cnf(s57, plain, $false, inference(rat,[],[s26,s55,s56,s54])).
% 10.55/1.96 thf(f6339,plain,(
% 10.55/1.96 $false),
% 10.55/1.96 inference(avatar_sat_refutation,[],[s57])).
% 10.55/1.96 % SZS output end Proof for theBenchmark
% 10.55/1.96 % (3771286)------------------------------
% 10.55/1.96 % (3771286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/1.96 % (3771286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/1.96 % (3771286)CaDiCaL version: 2.1.3
% 10.55/1.96 % (3771286)Termination reason: Refutation
% 10.55/1.96 % (3771286)Time elapsed: 0.808 s
% 10.55/1.96 % (3771286)Peak memory usage: 18 MB
% 10.55/1.96 % (3771286)Instructions burned: 1717 (million)
% 10.55/1.96 % (3771225)Success in time 1.721 s
% 10.55/1.96 % Vampire exiting
%------------------------------------------------------------------------------