%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL601^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 08:15:01 AM UTC 2026
% Result : Theorem 8.15s 1.57s
% Output : Refutation 8.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL601^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n018.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 09:19:26 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 6.62/1.20 % (4030529)Will run a generic schedule for satisfiability detection.
% 6.62/1.20 % (4030535)% WARNING: option uhcvi not known.
% 6.62/1.20 % (4030535)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1676479757:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.62/1.20 % (4030534)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=985741246_2999 on theBenchmark for (2999ds/0Mi)
% 6.62/1.20 % (4030536)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1294568174:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.62/1.20 % (4030535)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.62/1.20 % (4030535)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.62/1.20 % Exception at run slice level
% 6.62/1.20 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.62/1.20 % (4030537)dis+10_1_sil=32000:sp=arity:random_seed=3281569911:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.62/1.20 % (4030538)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=640689793:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.62/1.20 % (4030540)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=995484258:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.62/1.20 % (4030538)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.62/1.20 % (4030539)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=803953857:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.62/1.20 % (4030544)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2952415700:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.62/1.20 % Exception at run slice level
% 6.62/1.20 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.62/1.20 % (4030550)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2376574576:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.62/1.20 % (4030538)Instruction limit reached!
% 6.62/1.20 % (4030538)------------------------------
% 6.62/1.20 % (4030538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.20 % (4030538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.20 % (4030538)CaDiCaL version: 2.1.3
% 6.62/1.20 % (4030538)Termination reason: Instruction limit
% 6.62/1.20 % (4030538)Termination phase: Saturation
% 6.62/1.20 % (4030538)Time elapsed: 0.050 s
% 6.62/1.20 % (4030538)Peak memory usage: 12 MB
% 6.62/1.20 % (4030538)Instructions burned: 116 (million)
% 6.62/1.20 % (4030540)Instruction limit reached!
% 6.62/1.20 % (4030540)------------------------------
% 6.62/1.20 % (4030540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.20 % (4030540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.20 % (4030540)CaDiCaL version: 2.1.3
% 6.62/1.20 % (4030540)Termination reason: Instruction limit
% 6.62/1.20 % (4030540)Termination phase: Saturation
% 6.62/1.20 % (4030540)Time elapsed: 0.081 s
% 6.62/1.20 % (4030540)Peak memory usage: 13 MB
% 6.62/1.20 % (4030540)Instructions burned: 160 (million)
% 6.62/1.20 % (4030537)Instruction limit reached!
% 6.62/1.20 % (4030537)------------------------------
% 6.62/1.20 % (4030537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.20 % (4030537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.20 % (4030537)CaDiCaL version: 2.1.3
% 6.62/1.20 % (4030537)Termination reason: Instruction limit
% 6.62/1.20 % (4030537)Termination phase: Saturation
% 6.62/1.20 % (4030537)Time elapsed: 0.087 s
% 6.62/1.20 % (4030537)Peak memory usage: 12 MB
% 6.62/1.20 % (4030537)Instructions burned: 103 (million)
% 6.62/1.20 % (4030552)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=3895781337:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.62/1.20 % (4030552)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.62/1.20 % (4030552)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.62/1.20 % (4030539)Instruction limit reached!
% 6.62/1.20 % (4030539)------------------------------
% 6.62/1.20 % (4030539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.57 % (4030539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.57 % (4030539)CaDiCaL version: 2.1.3
% 8.15/1.57 % (4030539)Termination reason: Instruction limit
% 8.15/1.57 % (4030539)Termination phase: Saturation
% 8.15/1.57 % (4030539)Time elapsed: 0.091 s
% 8.15/1.57 % (4030539)Peak memory usage: 12 MB
% 8.15/1.57 % (4030539)Instructions burned: 131 (million)
% 8.15/1.57 % (4030550)Instruction limit reached!
% 8.15/1.57 % (4030550)------------------------------
% 8.15/1.57 % (4030550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.57 % (4030550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.57 % (4030550)CaDiCaL version: 2.1.3
% 8.15/1.57 % (4030550)Termination reason: Instruction limit
% 8.15/1.57 % (4030550)Termination phase: Saturation
% 8.15/1.57 % (4030550)Time elapsed: 0.065 s
% 8.15/1.57 % (4030550)Peak memory usage: 13 MB
% 8.15/1.57 % (4030550)Instructions burned: 132 (million)
% 8.15/1.57 % (4030553)ott-21_1_sil=16000:fs=off:random_seed=799740814:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.15/1.57 % (4030555)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1122451138:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.15/1.57 % (4030557)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3863222026:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 8.15/1.57 % (4030556)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2872098346:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 8.15/1.57 % Exception at run slice level
% 8.15/1.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.15/1.57 % (4030562)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1687264208:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 8.15/1.57 % Exception at run slice level
% 8.15/1.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.15/1.57 % (4030553)Instruction limit reached!
% 8.15/1.57 % (4030553)------------------------------
% 8.15/1.57 % (4030553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.57 % (4030553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.57 % (4030553)CaDiCaL version: 2.1.3
% 8.15/1.57 % (4030553)Termination reason: Instruction limit
% 8.15/1.57 % (4030553)Termination phase: Saturation
% 8.15/1.57 % (4030553)Time elapsed: 0.084 s
% 8.15/1.57 % (4030553)Peak memory usage: 12 MB
% 8.15/1.57 % (4030553)Instructions burned: 186 (million)
% 8.15/1.57 % (4030564)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=4255026303:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 8.15/1.57 % (4030564)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.15/1.57 % (4030565)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1226336290:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 8.15/1.57 % (4030565)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.15/1.57 % (4030552)Instruction limit reached!
% 8.15/1.57 % (4030552)------------------------------
% 8.15/1.57 % (4030552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.57 % (4030552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.57 % (4030552)CaDiCaL version: 2.1.3
% 8.15/1.57 % (4030552)Termination reason: Instruction limit
% 8.15/1.57 % (4030552)Termination phase: Saturation
% 8.15/1.57 % (4030552)Time elapsed: 0.383 s
% 8.15/1.57 % (4030552)Peak memory usage: 14 MB
% 8.15/1.57 % (4030552)Instructions burned: 685 (million)
% 8.15/1.57 % (4030555)Instruction limit reached!
% 8.15/1.57 % (4030555)------------------------------
% 8.15/1.57 % (4030555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.57 % (4030555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.57 % (4030555)CaDiCaL version: 2.1.3
% 8.15/1.57 % (4030555)Termination reason: Instruction limit
% 8.15/1.57 % (4030555)Termination phase: Saturation
% 8.15/1.57 % (4030555)Time elapsed: 0.370 s
% 8.15/1.57 % (4030555)Peak memory usage: 14 MB
% 8.15/1.57 % (4030555)Instructions burned: 478 (million)
% 8.15/1.57 % (4030569)fmb+10_1_sil=64000:random_seed=58511579:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 8.15/1.57 % (4030569)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.15/1.57 % Exception at run slice level
% 8.15/1.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.15/1.57 % (4030564)Instruction limit reached!
% 8.15/1.57 % (4030564)------------------------------
% 8.15/1.57 % (4030564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.57 % (4030564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.57 % (4030564)CaDiCaL version: 2.1.3
% 8.15/1.57 % (4030564)Termination reason: Instruction limit
% 8.15/1.57 % (4030564)Termination phase: Saturation
% 8.15/1.57 % (4030564)Time elapsed: 0.297 s
% 8.15/1.57 % (4030564)Peak memory usage: 17 MB
% 8.15/1.57 % (4030564)Instructions burned: 693 (million)
% 8.15/1.57 % (4030570)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1891535455:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 8.15/1.57 % Exception at run slice level
% 8.15/1.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.15/1.57 % (4030572)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3619051146:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 8.15/1.57 % Exception at run slice level
% 8.15/1.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.15/1.57 % (4030575)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1229658258:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 8.15/1.57 % (4030573)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1850384832:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 8.15/1.57 % (4030575)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.15/1.57 % (4030575)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.15/1.57 % (4030573)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.15/1.57 % (4030577)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1341530388:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 8.15/1.57 % Exception at run slice level
% 8.15/1.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.15/1.57 % (4030581)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2397133240:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 8.15/1.57 % Exception at run slice level
% 8.15/1.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.15/1.57 % (4030583)ott-2_1_sil=16000:newcnf=on:random_seed=1068982069:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 8.15/1.57 % (4030583)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.15/1.57 % (4030557)Instruction limit reached!
% 8.15/1.57 % (4030557)------------------------------
% 8.15/1.57 % (4030557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.57 % (4030557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.57 % (4030557)CaDiCaL version: 2.1.3
% 8.15/1.57 % (4030557)Termination reason: Instruction limit
% 8.15/1.57 % (4030557)Termination phase: Saturation
% 8.15/1.57 % (4030557)Time elapsed: 0.572 s
% 8.15/1.57 % (4030557)Peak memory usage: 17 MB
% 8.15/1.57 % (4030557)Instructions burned: 1179 (million)
% 8.15/1.57 % (4030585)ott+10_1_sil=32000:tgt=ground:random_seed=4242178164:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 8.15/1.57 % (4030565)Instruction limit reached!
% 8.15/1.57 % (4030565)------------------------------
% 8.15/1.57 % (4030565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.57 % (4030565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.57 % (4030565)CaDiCaL version: 2.1.3
% 8.15/1.57 % (4030565)Termination reason: Instruction limit
% 8.15/1.57 % (4030565)Termination phase: Saturation
% 8.15/1.57 % (4030565)Time elapsed: 0.679 s
% 8.15/1.57 % (4030565)Peak memory usage: 16 MB
% 8.15/1.57 % (4030565)Instructions burned: 879 (million)
% 8.15/1.57 % (4030583)Instruction limit reached!
% 8.15/1.57 % (4030583)------------------------------
% 8.15/1.57 % (4030583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.57 % (4030583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.57 % (4030583)CaDiCaL version: 2.1.3
% 8.15/1.57 % (4030583)Termination reason: Instruction limit
% 8.15/1.57 % (4030583)Termination phase: Saturation
% 8.15/1.57 % (4030583)Time elapsed: 0.330 s
% 8.15/1.57 % (4030583)Peak memory usage: 16 MB
% 8.15/1.57 % (4030583)Instructions burned: 869 (million)
% 8.15/1.57 % (4030587)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2968328021:i=54282_2990 on theBenchmark for (2990ds/54282Mi)
% 8.15/1.57 % Exception at run slice level
% 8.15/1.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.15/1.57 % (4030588)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2862031776:i=3512:aac=none_2990 on theBenchmark for (2990ds/3512Mi)
% 8.15/1.57 % (4030588)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.15/1.57 % (4030590)dis+21_1_sil=32000:sas=cadical:random_seed=2427728126:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 8.15/1.57 % (4030575)Instruction limit reached!
% 8.15/1.57 % (4030575)------------------------------
% 8.15/1.57 % (4030575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.57 % (4030575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.57 % (4030575)CaDiCaL version: 2.1.3
% 8.15/1.57 % (4030575)Termination reason: Instruction limit
% 8.15/1.57 % (4030575)Termination phase: Saturation
% 8.15/1.57 % (4030575)Time elapsed: 0.733 s
% 8.15/1.57 % (4030575)Peak memory usage: 18 MB
% 8.15/1.57 % (4030575)Instructions burned: 1473 (million)
% 8.15/1.57 % (4030535) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4030529-4030535"...
% 8.15/1.57 % (4030535)...printing done.
% 8.15/1.57 % (4030535)Refutation found. Thanks to Tanya!
% 8.15/1.57 % SZS status Theorem for theBenchmark
% 8.15/1.57 % SZS output start Proof for theBenchmark
% 8.15/1.57 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 8.15/1.57 thf(type_def_6, type, individuals: $tType).
% 8.15/1.57 thf(func_def_1, type, prop_a: ($i > $o)).
% 8.15/1.57 thf(func_def_2, type, prop_b: ($i > $o)).
% 8.15/1.57 thf(func_def_3, type, prop_c: ($i > $o)).
% 8.15/1.57 thf(func_def_4, type, mfalse: ($i > $o)).
% 8.15/1.57 thf(func_def_5, type, mtrue: ($i > $o)).
% 8.15/1.57 thf(func_def_6, type, mnot: (($i > $o) > $i > $o)).
% 8.15/1.57 thf(func_def_8, type, mor: (($i > $o) > ($i > $o) > $i > $o)).
% 8.15/1.57 thf(func_def_9, type, mand: (($i > $o) > ($i > $o) > $i > $o)).
% 8.15/1.57 thf(func_def_10, type, mimpl: (($i > $o) > ($i > $o) > $i > $o)).
% 8.15/1.57 thf(func_def_11, type, miff: (($i > $o) > ($i > $o) > $i > $o)).
% 8.15/1.57 thf(func_def_12, type, mbox: (($i > $i > $o) > ($i > $o) > $i > $o)).
% 8.15/1.57 thf(func_def_13, type, mdia: (($i > $i > $o) > ($i > $o) > $i > $o)).
% 8.15/1.57 thf(func_def_14, type, mall: ((individuals > $i > $o) > $i > $o)).
% 8.15/1.57 thf(func_def_15, type, mexists: ((individuals > $i > $o) > $i > $o)).
% 8.15/1.57 thf(func_def_16, type, mvalid: (($i > $o) > $o)).
% 8.15/1.57 thf(func_def_17, type, msatisfiable: (($i > $o) > $o)).
% 8.15/1.57 thf(func_def_18, type, mcountersatisfiable: (($i > $o) > $o)).
% 8.15/1.57 thf(func_def_19, type, minvalid: (($i > $o) > $o)).
% 8.15/1.57 thf(func_def_20, type, cartesian_product: (($i > $o) > ($i > $o) > $i > $i > $o)).
% 8.15/1.57 thf(func_def_21, type, pair_rel: ($i > $i > $i > $i > $o)).
% 8.15/1.57 thf(func_def_22, type, id_rel: (($i > $o) > $i > $i > $o)).
% 8.15/1.57 thf(func_def_23, type, sub_rel: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 8.15/1.57 thf(func_def_24, type, is_rel_on: (($i > $i > $o) > ($i > $o) > ($i > $o) > $o)).
% 8.15/1.57 thf(func_def_25, type, restrict_rel_domain: (($i > $i > $o) > ($i > $o) > $i > $i > $o)).
% 8.15/1.57 thf(func_def_26, type, rel_diagonal: ($i > $i > $o)).
% 8.15/1.57 thf(func_def_27, type, rel_composition: (($i > $i > $o) > ($i > $i > $o) > $i > $i > $o)).
% 8.15/1.57 thf(func_def_28, type, reflexive: (($i > $i > $o) > $o)).
% 8.15/1.57 thf(func_def_29, type, irreflexive: (($i > $i > $o) > $o)).
% 8.15/1.57 thf(func_def_30, type, symmetric: (($i > $i > $o) > $o)).
% 8.15/1.57 thf(func_def_31, type, transitive: (($i > $i > $o) > $o)).
% 8.15/1.57 thf(func_def_32, type, equiv_rel: (($i > $i > $o) > $o)).
% 8.15/1.57 thf(func_def_33, type, rel_codomain: (($i > $i > $o) > $i > $o)).
% 8.15/1.57 thf(func_def_34, type, rel_domain: (($i > $i > $o) > $i > $o)).
% 8.15/1.57 thf(func_def_35, type, rel_inverse: (($i > $i > $o) > $i > $i > $o)).
% 8.15/1.57 thf(func_def_36, type, equiv_classes: (($i > $i > $o) > ($i > $o) > $o)).
% 8.15/1.57 thf(func_def_37, type, restrict_rel_codomain: (($i > $i > $o) > ($i > $o) > $i > $i > $o)).
% 8.15/1.57 thf(func_def_38, type, rel_field: (($i > $i > $o) > $i > $o)).
% 8.15/1.57 thf(func_def_39, type, well_founded: (($i > $i > $o) > $o)).
% 8.15/1.57 thf(func_def_40, type, upwards_well_founded: (($i > $i > $o) > $o)).
% 8.15/1.57 thf(func_def_43, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 8.15/1.57 thf(func_def_44, type, vNOT: ($o > $o)).
% 8.15/1.57 thf(func_def_45, type, db1: !>[X0: $tType]:(X0)).
% 8.15/1.57 thf(func_def_46, type, db0: !>[X0: $tType]:(X0)).
% 8.15/1.57 thf(func_def_47, type, vOR: ($o > $o > $o)).
% 8.15/1.57 thf(func_def_48, type, db2: !>[X0: $tType]:(X0)).
% 8.15/1.57 thf(func_def_49, type, vAND: ($o > $o > $o)).
% 8.15/1.57 thf(func_def_50, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 8.15/1.57 thf(func_def_51, type, vIMP: ($o > $o > $o)).
% 8.15/1.57 thf(func_def_52, type, db3: !>[X0: $tType]:(X0)).
% 8.15/1.57 thf(func_def_53, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 8.15/1.57 thf(func_def_54, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 8.15/1.57 thf(func_def_55, type, db4: !>[X0: $tType]:(X0)).
% 8.15/1.57 thf(func_def_56, type, vIFF: ($o > $o > $o)).
% 8.15/1.57 thf(func_def_57, type, sK0: ($i > $i > $o)).
% 8.15/1.57 thf(func_def_58, type, sK1: ($i > $i > $o)).
% 8.15/1.57 thf(func_def_59, type, sK2: ($i > $o)).
% 8.15/1.57 thf(func_def_60, type, sK3: ($i > ($i > $o) > ($i > $i > $o) > $i)).
% 8.15/1.57 thf(f3,axiom,(
% 8.15/1.57 (mnot = (^[X0 : ($i > $o), X1 : $i] : (~(X0 @ X1))))),
% 8.15/1.57 file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mnot)).
% 8.15/1.57 thf(f4,axiom,(
% 8.15/1.57 (mor = (^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 8.15/1.57 file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mor)).
% 8.15/1.57 thf(f6,axiom,(
% 8.15/1.57 (mimpl = (^[X0 : ($i > $o), X1 : ($i > $o)] : ((mor @ (mnot @ X0) @ X1))))),
% 8.15/1.57 file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mimpl)).
% 8.15/1.57 thf(f8,axiom,(
% 8.15/1.57 (mbox = (^[X0 : ($i > $i > $o), X1 : ($i > $o), X2 : $i] : (! [X3 : $i] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 8.15/1.57 file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mbox)).
% 8.15/1.57 thf(f12,axiom,(
% 8.15/1.57 (mvalid = (^[X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1))))),
% 8.15/1.57 file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mvalid)).
% 8.15/1.57 thf(f27,axiom,(
% 8.15/1.57 (transitive = (^[X0 : ($i > $i > $o)] : (! [X1 : $i,X2 : $i,X3 : $i] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3)))))),
% 8.15/1.57 file('/export/starexec/sandbox2/benchmark/Axioms/SET008^2.ax',transitive)).
% 8.15/1.57 thf(f37,conjecture,(
% 8.15/1.57 ! [X0 : ($i > $i > $o),X1 : ($i > $o)] : (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) <=> ! [X0 : ($i > $i > $o)] : (transitive @ X0)),
% 8.15/1.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
% 8.15/1.57 thf(f38,negated_conjecture,(
% 8.15/1.57 ~(! [X0 : ($i > $i > $o),X1 : ($i > $o)] : (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) <=> ! [X0 : ($i > $i > $o)] : (transitive @ X0))),
% 8.15/1.57 inference(negated_conjecture,[status(cth)],[f37])).
% 8.15/1.57 thf(f41,plain,(
% 8.15/1.57 (mnot = (^[X0 : ($i > $o), X1 : $i] : (~(X0 @ X1))))),
% 8.15/1.57 inference(rectify,[],[f3])).
% 8.15/1.57 thf(f42,plain,(
% 8.15/1.57 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 8.15/1.57 inference(fool_elimination,[],[f41])).
% 8.15/1.57 thf(f43,plain,(
% 8.15/1.57 (mor = (^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 8.15/1.57 inference(rectify,[],[f4])).
% 8.15/1.57 thf(f44,plain,(
% 8.15/1.57 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 8.15/1.57 inference(fool_elimination,[],[f43])).
% 8.15/1.57 thf(f47,plain,(
% 8.15/1.57 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 8.15/1.57 inference(fool_elimination,[],[f6])).
% 8.15/1.57 thf(f49,plain,(
% 8.15/1.57 (mbox = (^[X0 : ($i > $i > $o), X1 : ($i > $o), X2 : $i] : (! [X3 : $i] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 8.15/1.57 inference(rectify,[],[f8])).
% 8.15/1.57 thf(f50,plain,(
% 8.15/1.57 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 8.15/1.57 inference(fool_elimination,[],[f49])).
% 8.15/1.57 thf(f57,plain,(
% 8.15/1.57 (mvalid = (^[X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1))))),
% 8.15/1.57 inference(rectify,[],[f12])).
% 8.15/1.57 thf(f58,plain,(
% 8.15/1.57 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 8.15/1.57 inference(fool_elimination,[],[f57])).
% 8.15/1.57 thf(f85,plain,(
% 8.15/1.57 (transitive = (^[X0 : ($i > $i > $o)] : (! [X1 : $i,X2 : $i,X3 : $i] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3)))))),
% 8.15/1.57 inference(rectify,[],[f27])).
% 8.15/1.57 thf(f86,plain,(
% 8.15/1.57 (transitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))))),
% 8.15/1.57 inference(fool_elimination,[],[f85])).
% 8.15/1.57 thf(f104,plain,(
% 8.15/1.57 ~(! [X0 : ($i > $i > $o),X1 : ($i > $o)] : (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) <=> ! [X2 : ($i > $i > $o)] : (transitive @ X2))),
% 8.15/1.57 inference(rectify,[],[f38])).
% 8.15/1.57 thf(f105,plain,(
% 8.15/1.57 ~(! [X0 : ($i > $i > $o),X1 : ($i > $o)] : (((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1))))) = $true) <=> ! [X2 : ($i > $i > $o)] : ($true = ((transitive @ X2))))),
% 8.15/1.57 inference(fool_elimination,[],[f104])).
% 8.15/1.57 thf(f106,plain,(
% 8.15/1.57 ! [X0 : ($i > $i > $o),X1 : ($i > $o)] : (((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1))))) = $true) <~> ! [X2 : ($i > $i > $o)] : ($true = ((transitive @ X2)))),
% 8.15/1.57 inference(ennf_transformation,[],[f105])).
% 8.15/1.57 thf(f107,plain,(
% 8.15/1.57 (? [X2 : ($i > $i > $o)] : ($true != ((transitive @ X2))) | ? [X0 : ($i > $i > $o),X1 : ($i > $o)] : (((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1))))) != $true)) & (! [X2 : ($i > $i > $o)] : ($true = ((transitive @ X2))) | ! [X0 : ($i > $i > $o),X1 : ($i > $o)] : (((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1))))) = $true))),
% 8.15/1.57 inference(nnf_transformation,[],[f106])).
% 8.15/1.57 thf(f108,plain,(
% 8.15/1.57 (? [X0 : ($i > $i > $o)] : (((transitive @ X0)) != $true) | ? [X1 : ($i > $i > $o),X2 : ($i > $o)] : ($true != ((mvalid @ (mimpl @ (mbox @ X1 @ X2) @ (mbox @ X1 @ (mbox @ X1 @ X2))))))) & (! [X3 : ($i > $i > $o)] : ($true = ((transitive @ X3))) | ! [X4 : ($i > $i > $o),X5 : ($i > $o)] : ($true = ((mvalid @ (mimpl @ (mbox @ X4 @ X5) @ (mbox @ X4 @ (mbox @ X4 @ X5)))))))),
% 8.15/1.57 inference(rectify,[],[f107])).
% 8.15/1.57 thf(f109,plain,(
% 8.15/1.57 (($true != ((transitive @ sK0))) | ($true != ((mvalid @ (mimpl @ (mbox @ sK1 @ sK2) @ (mbox @ sK1 @ (mbox @ sK1 @ sK2))))))) & (! [X3 : ($i > $i > $o)] : ($true = ((transitive @ X3))) | ! [X4 : ($i > $i > $o),X5 : ($i > $o)] : ($true = ((mvalid @ (mimpl @ (mbox @ X4 @ X5) @ (mbox @ X4 @ (mbox @ X4 @ X5)))))))),
% 8.15/1.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f108])).
% 8.15/1.57 thf(f112,plain,(
% 8.15/1.57 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 8.15/1.57 inference(cnf_transformation,[],[f42])).
% 8.15/1.57 thf(f113,plain,(
% 8.15/1.57 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 8.15/1.57 inference(cnf_transformation,[],[f44])).
% 8.15/1.57 thf(f115,plain,(
% 8.15/1.57 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 8.15/1.57 inference(cnf_transformation,[],[f47])).
% 8.15/1.57 thf(f117,plain,(
% 8.15/1.57 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 8.15/1.57 inference(cnf_transformation,[],[f50])).
% 8.15/1.57 thf(f121,plain,(
% 8.15/1.57 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 8.15/1.57 inference(cnf_transformation,[],[f58])).
% 8.15/1.57 thf(f136,plain,(
% 8.15/1.57 (transitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))))),
% 8.15/1.57 inference(cnf_transformation,[],[f86])).
% 8.15/1.57 thf(f146,plain,(
% 8.15/1.57 ( ! [X3 : ($i > $i > $o),X4 : ($i > $i > $o),X5 : ($i > $o)] : (($true = ((transitive @ X3))) | ($true = ((mvalid @ (mimpl @ (mbox @ X4 @ X5) @ (mbox @ X4 @ (mbox @ X4 @ X5))))))) )),
% 8.15/1.57 inference(cnf_transformation,[],[f109])).
% 8.15/1.57 thf(f147,plain,(
% 8.15/1.57 ($true != ((transitive @ sK0))) | ($true != ((mvalid @ (mimpl @ (mbox @ sK1 @ sK2) @ (mbox @ sK1 @ (mbox @ sK1 @ sK2))))))),
% 8.15/1.57 inference(cnf_transformation,[],[f109])).
% 8.15/1.57 thf(f149,definition,(
% 8.15/1.57 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 8.15/1.57 introduced(theory,[fool_exhaustiveness_axiom])).
% 8.15/1.57 thf(f150,plain,(
% 8.15/1.57 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 8.15/1.57 inference(definition_unfolding,[],[f115,f113,f112])).
% 8.15/1.57 thf(f154,plain,(
% 8.15/1.57 ($true != (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))) @ sK0))) | ($true != (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK1 @ sK2) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK1 @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK1 @ sK2))))))),
% 8.15/1.57 inference(definition_unfolding,[],[f147,f136,f121,f150,f117,f117,f117])).
% 8.15/1.57 thf(f155,plain,(
% 8.15/1.57 ( ! [X3 : ($i > $i > $o),X4 : ($i > $i > $o),X5 : ($i > $o)] : (($true = (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))) @ X3))) | ($true = (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ X4 @ X5) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ X4 @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ X4 @ X5))))))) )),
% 8.15/1.57 inference(definition_unfolding,[],[f146,f136,f121,f150,f117,f117,f117])).
% 8.15/1.57 thf(f156,plain,(
% 8.15/1.57 ( ! [X3 : ($i > $i > $o),X4 : ($i > $i > $o),X5 : ($i > $o)] : (($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((X3 @ Y2 @ Y1) & (X3 @ Y1 @ Y0)) => (X3 @ Y2 @ Y0)))))))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((X4 @ Y0 @ Y1) => (X5 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((X4 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((X4 @ Y1 @ Y2) => (X5 @ Y2))))))))))))) )),
% 8.15/1.57 inference(beta-eta_normalization,[],[f155])).
% 8.15/1.57 thf(f157,plain,(
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% 8.15/1.57 thf(f191,plain,(
% 8.15/1.57 ( ! [X1 : $i] : (($false = (((^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ sK6 @ sK4)) => (sK0 @ Y0 @ sK4))) @ sK7))) | ($false = ((sK1 @ sK5 @ X1))) | ($true = ((sK2 @ X1)))) )),
% 8.15/1.57 inference(imp_proxy_clausification,[],[f190])).
% 8.15/1.57 thf(f192,plain,(
% 8.15/1.57 ( ! [X1 : $i] : (($false = ((((sK0 @ sK7 @ sK6) & (sK0 @ sK6 @ sK4)) => (sK0 @ sK7 @ sK4)))) | ($false = ((sK1 @ sK5 @ X1))) | ($true = ((sK2 @ X1)))) )),
% 8.15/1.57 inference(beta-eta_normalization,[],[f191])).
% 8.15/1.57 thf(f193,plain,(
% 8.15/1.57 ( ! [X1 : $i] : (($false = ((sK0 @ sK7 @ sK4))) | ($false = ((sK1 @ sK5 @ X1))) | ($true = ((sK2 @ X1)))) )),
% 8.15/1.57 inference(imp_proxy_clausification,[],[f192])).
% 8.15/1.57 thf(f194,plain,(
% 8.15/1.57 ( ! [X1 : $i] : (($true = (((sK0 @ sK7 @ sK6) & (sK0 @ sK6 @ sK4)))) | ($false = ((sK1 @ sK5 @ X1))) | ($true = ((sK2 @ X1)))) )),
% 8.15/1.57 inference(imp_proxy_clausification,[],[f192])).
% 8.15/1.57 thf(f195,plain,(
% 8.15/1.57 ( ! [X1 : $i] : (($true = ((sK0 @ sK6 @ sK4))) | ($false = ((sK1 @ sK5 @ X1))) | ($true = ((sK2 @ X1)))) )),
% 8.15/1.57 inference(and_proxy_clausification,[],[f194])).
% 8.15/1.57 thf(f197,plain,(
% 8.15/1.57 ($false = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ sK4)) => (sK0 @ Y1 @ sK4))))) @ sK6))) | ($false = (((^[Y0 : $i]: ((sK1 @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK2 @ Y1)))))) @ sK8)))),
% 8.15/1.57 inference(sigma_proxy_clausification,[],[f185])).
% 8.15/1.57 thf(f198,plain,(
% 8.15/1.57 ($false = ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ sK6 @ sK4)) => (sK0 @ Y0 @ sK4)))))) | ($false = (((sK1 @ sK5 @ sK8) => (!! @ $i @ (^[Y0 : $i]: ((sK1 @ sK8 @ Y0) => (sK2 @ Y0)))))))),
% 8.15/1.57 inference(beta-eta_normalization,[],[f197])).
% 8.15/1.57 thf(f199,plain,(
% 8.15/1.57 ($false = (((^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ sK6 @ sK4)) => (sK0 @ Y0 @ sK4))) @ sK9))) | ($false = (((sK1 @ sK5 @ sK8) => (!! @ $i @ (^[Y0 : $i]: ((sK1 @ sK8 @ Y0) => (sK2 @ Y0)))))))),
% 8.15/1.57 inference(sigma_proxy_clausification,[],[f198])).
% 8.15/1.57 thf(f200,plain,(
% 8.15/1.57 ($false = (((^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ sK6 @ sK4)) => (sK0 @ Y0 @ sK4))) @ sK9))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ sK8 @ Y0) => (sK2 @ Y0))))))),
% 8.15/1.57 inference(imp_proxy_clausification,[],[f199])).
% 8.15/1.57 thf(f201,plain,(
% 8.15/1.57 ($false = (((^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ sK6 @ sK4)) => (sK0 @ Y0 @ sK4))) @ sK9))) | ($true = ((sK1 @ sK5 @ sK8)))),
% 8.15/1.57 inference(imp_proxy_clausification,[],[f199])).
% 8.15/1.57 thf(f202,plain,(
% 8.15/1.57 ($false = ((((sK0 @ sK9 @ sK6) & (sK0 @ sK6 @ sK4)) => (sK0 @ sK9 @ sK4)))) | ($true = ((sK1 @ sK5 @ sK8)))),
% 8.15/1.57 inference(beta-eta_normalization,[],[f201])).
% 8.15/1.57 thf(f203,plain,(
% 8.15/1.57 ($false = ((sK0 @ sK9 @ sK4))) | ($true = ((sK1 @ sK5 @ sK8)))),
% 8.15/1.57 inference(imp_proxy_clausification,[],[f202])).
% 8.15/1.57 thf(f204,plain,(
% 8.15/1.57 ($true = (((sK0 @ sK9 @ sK6) & (sK0 @ sK6 @ sK4)))) | ($true = ((sK1 @ sK5 @ sK8)))),
% 8.15/1.57 inference(imp_proxy_clausification,[],[f202])).
% 8.15/1.57 thf(f205,plain,(
% 8.15/1.57 ($true = ((sK0 @ sK6 @ sK4))) | ($true = ((sK1 @ sK5 @ sK8)))),
% 8.15/1.57 inference(and_proxy_clausification,[],[f204])).
% 8.15/1.57 thf(f206,plain,(
% 8.15/1.57 ($true = ((sK0 @ sK9 @ sK6))) | ($true = ((sK1 @ sK5 @ sK8)))),
% 8.15/1.57 inference(and_proxy_clausification,[],[f204])).
% 8.15/1.57 thf(f207,plain,(
% 8.15/1.57 ($false = (((^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ sK6 @ sK4)) => (sK0 @ Y0 @ sK4))) @ sK9))) | ($false = (((^[Y0 : $i]: ((sK1 @ sK8 @ Y0) => (sK2 @ Y0))) @ sK10)))),
% 8.15/1.57 inference(sigma_proxy_clausification,[],[f200])).
% 8.15/1.57 thf(f208,plain,(
% 8.15/1.57 ($false = ((((sK0 @ sK9 @ sK6) & (sK0 @ sK6 @ sK4)) => (sK0 @ sK9 @ sK4)))) | ($false = (((sK1 @ sK8 @ sK10) => (sK2 @ sK10))))),
% 8.15/1.57 inference(beta-eta_normalization,[],[f207])).
% 8.15/1.57 thf(f209,plain,(
% 8.15/1.57 ($false = ((sK0 @ sK9 @ sK4))) | ($false = (((sK1 @ sK8 @ sK10) => (sK2 @ sK10))))),
% 8.15/1.57 inference(imp_proxy_clausification,[],[f208])).
% 8.15/1.57 thf(f210,plain,(
% 8.15/1.57 ($true = (((sK0 @ sK9 @ sK6) & (sK0 @ sK6 @ sK4)))) | ($false = (((sK1 @ sK8 @ sK10) => (sK2 @ sK10))))),
% 8.15/1.57 inference(imp_proxy_clausification,[],[f208])).
% 8.15/1.57 thf(f211,plain,(
% 8.15/1.57 ($true = ((sK0 @ sK6 @ sK4))) | ($false = (((sK1 @ sK8 @ sK10) => (sK2 @ sK10))))),
% 8.15/1.57 inference(and_proxy_clausification,[],[f210])).
% 8.15/1.57 thf(f212,plain,(
% 8.15/1.57 ($true = ((sK0 @ sK9 @ sK6))) | ($false = (((sK1 @ sK8 @ sK10) => (sK2 @ sK10))))),
% 8.15/1.57 inference(and_proxy_clausification,[],[f210])).
% 8.15/1.57 thf(f213,plain,(
% 8.15/1.57 ($true = ((sK0 @ sK9 @ sK6))) | ($false = ((sK2 @ sK10)))),
% 8.15/1.57 inference(imp_proxy_clausification,[],[f212])).
% 8.15/1.57 thf(f215,plain,(
% 8.15/1.57 ($true = ((sK0 @ sK6 @ sK4))) | ($false = ((sK2 @ sK10)))),
% 8.15/1.57 inference(imp_proxy_clausification,[],[f211])).
% 8.15/1.57 thf(f217,plain,(
% 8.15/1.57 ($false = ((sK0 @ sK9 @ sK4))) | ($false = ((sK2 @ sK10)))),
% 8.15/1.57 inference(imp_proxy_clausification,[],[f209])).
% 8.15/1.57 thf(f220,definition,(
% 8.15/1.57 spl11_1 <=> ! [X5 : ($i > $o),X4 : ($i > $i > $o),X11 : $i,X9 : $i,X7 : $i] : (($false = ((X4 @ X7 @ X9))) | ($true = ((X5 @ X11))) | ($false = ((X4 @ X9 @ X11))) | ($true = ((X4 @ X7 @ (sK3 @ X7 @ X5 @ X4)))))),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition])).
% 8.15/1.57 thf(f221,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X4 : ($i > $i > $o),X5 : ($i > $o)] : (($false = ((X4 @ X7 @ X9))) | ($true = ((X5 @ X11))) | ($false = ((X4 @ X9 @ X11))) | ($true = ((X4 @ X7 @ (sK3 @ X7 @ X5 @ X4))))) ) | ~spl11_1),
% 8.15/1.57 inference(avatar_component_clause,[],[f220])).
% 8.15/1.57 thf(f223,definition,(
% 8.15/1.57 spl11_2 <=> ! [X3 : ($i > $i > $o),X10 : $i,X6 : $i,X8 : $i] : (($false = ((X3 @ X8 @ X6))) | ($false = ((X3 @ X10 @ X8))) | ($true = ((X3 @ X10 @ X6))))),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition])).
% 8.15/1.57 thf(f224,plain,(
% 8.15/1.57 ( ! [X3 : ($i > $i > $o),X10 : $i,X8 : $i,X6 : $i] : (($false = ((X3 @ X8 @ X6))) | ($false = ((X3 @ X10 @ X8))) | ($true = ((X3 @ X10 @ X6)))) ) | ~spl11_2),
% 8.15/1.57 inference(avatar_component_clause,[],[f223])).
% 8.15/1.57 thf(f225,plain,(
% 8.15/1.57 spl11_1 | spl11_2),
% 8.15/1.57 inference(avatar_split_clause,[],[f174,f223,f220])).
% 8.15/1.57 thf(f227,definition,(
% 8.15/1.57 spl11_3 <=> ! [X5 : ($i > $o),X4 : ($i > $i > $o),X11 : $i,X9 : $i,X7 : $i] : (($false = ((X4 @ X7 @ X9))) | ($true = ((X5 @ X11))) | ($false = ((X4 @ X9 @ X11))) | ($false = ((X5 @ (sK3 @ X7 @ X5 @ X4)))))),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition])).
% 8.15/1.57 thf(f228,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X4 : ($i > $i > $o),X5 : ($i > $o)] : (($false = ((X4 @ X7 @ X9))) | ($true = ((X5 @ X11))) | ($false = ((X4 @ X9 @ X11))) | ($false = ((X5 @ (sK3 @ X7 @ X5 @ X4))))) ) | ~spl11_3),
% 8.15/1.57 inference(avatar_component_clause,[],[f227])).
% 8.15/1.57 thf(f229,plain,(
% 8.15/1.57 spl11_3 | spl11_2),
% 8.15/1.57 inference(avatar_split_clause,[],[f179,f223,f227])).
% 8.15/1.57 thf(f231,definition,(
% 8.15/1.57 spl11_4 <=> ! [X1 : $i] : (($false = ((sK1 @ sK5 @ X1))) | ($true = ((sK2 @ X1))))),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition])).
% 8.15/1.57 thf(f232,plain,(
% 8.15/1.57 ( ! [X1 : $i] : (($false = ((sK1 @ sK5 @ X1))) | ($true = ((sK2 @ X1)))) ) | ~spl11_4),
% 8.15/1.57 inference(avatar_component_clause,[],[f231])).
% 8.15/1.57 thf(f239,definition,(
% 8.15/1.57 spl11_6 <=> ($true = ((sK0 @ sK6 @ sK4)))),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition])).
% 8.15/1.57 thf(f241,plain,(
% 8.15/1.57 ($true = ((sK0 @ sK6 @ sK4))) | ~spl11_6),
% 8.15/1.57 inference(avatar_component_clause,[],[f239])).
% 8.15/1.57 thf(f242,plain,(
% 8.15/1.57 spl11_4 | spl11_6),
% 8.15/1.57 inference(avatar_split_clause,[],[f195,f239,f231])).
% 8.15/1.57 thf(f244,definition,(
% 8.15/1.57 spl11_7 <=> ($false = ((sK0 @ sK7 @ sK4)))),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition])).
% 8.15/1.57 thf(f245,plain,(
% 8.15/1.57 ($false != ((sK0 @ sK7 @ sK4))) | spl11_7),
% 8.15/1.57 inference(avatar_component_clause,[],[f244])).
% 8.15/1.57 thf(f246,plain,(
% 8.15/1.57 ($false = ((sK0 @ sK7 @ sK4))) | ~spl11_7),
% 8.15/1.57 inference(avatar_component_clause,[],[f244])).
% 8.15/1.57 thf(f247,plain,(
% 8.15/1.57 spl11_4 | spl11_7),
% 8.15/1.57 inference(avatar_split_clause,[],[f193,f244,f231])).
% 8.15/1.57 thf(f249,definition,(
% 8.15/1.57 spl11_8 <=> ($true = ((sK1 @ sK5 @ sK8)))),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition])).
% 8.15/1.57 thf(f251,plain,(
% 8.15/1.57 ($true = ((sK1 @ sK5 @ sK8))) | ~spl11_8),
% 8.15/1.57 inference(avatar_component_clause,[],[f249])).
% 8.15/1.57 thf(f253,definition,(
% 8.15/1.57 spl11_9 <=> ($true = ((sK0 @ sK9 @ sK6)))),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition])).
% 8.15/1.57 thf(f255,plain,(
% 8.15/1.57 ($true = ((sK0 @ sK9 @ sK6))) | ~spl11_9),
% 8.15/1.57 inference(avatar_component_clause,[],[f253])).
% 8.15/1.57 thf(f256,plain,(
% 8.15/1.57 spl11_8 | spl11_9),
% 8.15/1.57 inference(avatar_split_clause,[],[f206,f253,f249])).
% 8.15/1.57 thf(f257,plain,(
% 8.15/1.57 spl11_8 | spl11_6),
% 8.15/1.57 inference(avatar_split_clause,[],[f205,f239,f249])).
% 8.15/1.57 thf(f259,definition,(
% 8.15/1.57 spl11_10 <=> ($false = ((sK0 @ sK9 @ sK4)))),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition])).
% 8.15/1.57 thf(f260,plain,(
% 8.15/1.57 ($false != ((sK0 @ sK9 @ sK4))) | spl11_10),
% 8.15/1.57 inference(avatar_component_clause,[],[f259])).
% 8.15/1.57 thf(f261,plain,(
% 8.15/1.57 ($false = ((sK0 @ sK9 @ sK4))) | ~spl11_10),
% 8.15/1.57 inference(avatar_component_clause,[],[f259])).
% 8.15/1.57 thf(f262,plain,(
% 8.15/1.57 spl11_8 | spl11_10),
% 8.15/1.57 inference(avatar_split_clause,[],[f203,f259,f249])).
% 8.15/1.57 thf(f269,definition,(
% 8.15/1.57 spl11_12 <=> ($false = ((sK2 @ sK10)))),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition])).
% 8.15/1.57 thf(f271,plain,(
% 8.15/1.57 ($false = ((sK2 @ sK10))) | ~spl11_12),
% 8.15/1.57 inference(avatar_component_clause,[],[f269])).
% 8.15/1.57 thf(f272,plain,(
% 8.15/1.57 spl11_12 | spl11_9),
% 8.15/1.57 inference(avatar_split_clause,[],[f213,f253,f269])).
% 8.15/1.57 thf(f274,plain,(
% 8.15/1.57 spl11_12 | spl11_6),
% 8.15/1.57 inference(avatar_split_clause,[],[f215,f239,f269])).
% 8.15/1.57 thf(f276,plain,(
% 8.15/1.57 spl11_12 | spl11_10),
% 8.15/1.57 inference(avatar_split_clause,[],[f217,f259,f269])).
% 8.15/1.57 thf(f295,plain,(
% 8.15/1.57 ( ! [X10 : $i,X8 : $i,X6 : $i] : (($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ X8 @ X6))) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ X10 @ X8))) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ X10 @ X6)))) ) | ~spl11_2),
% 8.15/1.57 inference(primitive_instantiation,[],[f224])).
% 8.15/1.57 thf(f334,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X1 @ X3)) != $true) | ($false = ((X0 @ X3 @ X2))) | (((X0 @ X1 @ X3)) = $false) | (((X0 @ X1 @ X2)) != $false)) ) | ~spl11_2),
% 8.15/1.57 inference(equality_factoring,[],[f224])).
% 8.15/1.57 thf(f423,plain,(
% 8.15/1.57 ( ! [X10 : $i,X8 : $i,X6 : $i] : (($false = ((~ (X8 = X6)))) | ($false = ((~ (X10 = X8)))) | ($true = ((~ (X10 = X6))))) ) | ~spl11_2),
% 8.15/1.57 inference(beta-eta_normalization,[],[f295])).
% 8.15/1.57 thf(f424,plain,(
% 8.15/1.57 ( ! [X10 : $i,X8 : $i,X6 : $i] : (($true = ((X8 = X6))) | ($false = ((~ (X10 = X8)))) | ($true = ((~ (X10 = X6))))) ) | ~spl11_2),
% 8.15/1.57 inference(not_proxy_clausification,[],[f423])).
% 8.15/1.57 thf(f425,plain,(
% 8.15/1.57 ( ! [X10 : $i,X8 : $i,X6 : $i] : ((X6 = X8) | ($false = ((~ (X10 = X8)))) | ($true = ((~ (X10 = X6))))) ) | ~spl11_2),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f424])).
% 8.15/1.57 thf(f426,plain,(
% 8.15/1.57 ( ! [X10 : $i,X8 : $i,X6 : $i] : ((X6 = X8) | ($true = ((X10 = X8))) | ($true = ((~ (X10 = X6))))) ) | ~spl11_2),
% 8.15/1.57 inference(not_proxy_clausification,[],[f425])).
% 8.15/1.57 thf(f427,plain,(
% 8.15/1.57 ( ! [X10 : $i,X8 : $i,X6 : $i] : ((X6 = X8) | (X8 = X10) | ($true = ((~ (X10 = X6))))) ) | ~spl11_2),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f426])).
% 8.15/1.57 thf(f428,plain,(
% 8.15/1.57 ( ! [X10 : $i,X8 : $i,X6 : $i] : ((X6 = X8) | (X8 = X10) | ($false = ((X10 = X6)))) ) | ~spl11_2),
% 8.15/1.57 inference(not_proxy_clausification,[],[f427])).
% 8.15/1.57 thf(f429,plain,(
% 8.15/1.57 ( ! [X10 : $i,X8 : $i,X6 : $i] : ((X6 = X8) | (X8 = X10) | (X6 != X10)) ) | ~spl11_2),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f428])).
% 8.15/1.57 thf(f472,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X1 @ X2)) != $false) | (((X0 @ X1 @ X3)) = $false) | ($false = ((X0 @ X3 @ X2)))) ) | ~spl11_2),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f334,f149])).
% 8.15/1.57 thf(f487,plain,(
% 8.15/1.57 ( ! [X0 : $i,X1 : $i] : ((X1 != X1) | (X0 = X1) | (X0 != X0)) ) | ~spl11_2),
% 8.15/1.57 inference(equality_factoring,[],[f429])).
% 8.15/1.57 thf(f488,plain,(
% 8.15/1.57 ( ! [X0 : $i,X1 : $i] : ((X0 = X1)) ) | ~spl11_2),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f487])).
% 8.15/1.57 thf(f494,plain,(
% 8.15/1.57 ( ! [X0 : $i] : (($true = ((sK0 @ X0 @ sK4)))) ) | (~spl11_2 | ~spl11_6)),
% 8.15/1.57 inference(constrained_superposition,[],[f241,f488])).
% 8.15/1.57 thf(f723,plain,(
% 8.15/1.57 ( ! [X0 : $i] : (($false = ((sK0 @ sK9 @ X0)))) ) | (~spl11_2 | ~spl11_10)),
% 8.15/1.57 inference(constrained_superposition,[],[f261,f488])).
% 8.15/1.57 thf(f1071,plain,(
% 8.15/1.57 ($false = $true) | (~spl11_2 | ~spl11_6 | ~spl11_10)),
% 8.15/1.57 inference(constrained_superposition,[],[f494,f261])).
% 8.15/1.57 thf(f1135,plain,(
% 8.15/1.57 $false | (~spl11_2 | ~spl11_6 | ~spl11_10)),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f1071])).
% 8.15/1.57 thf(f1136,plain,(
% 8.15/1.57 ~spl11_2 | ~spl11_6 | ~spl11_10),
% 8.15/1.57 inference(avatar_contradiction_clause,[],[f1135])).
% 8.15/1.57 thf(f1161,plain,(
% 8.15/1.57 ( ! [X0 : $i] : (($false = ((sK2 @ X0)))) ) | (~spl11_2 | ~spl11_12)),
% 8.15/1.57 inference(constrained_superposition,[],[f271,f488])).
% 8.15/1.57 thf(f1242,definition,(
% 8.15/1.57 spl11_13 <=> ! [X1 : $i] : ($false = ((sK2 @ X1)))),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition])).
% 8.15/1.57 thf(f1243,plain,(
% 8.15/1.57 ( ! [X1 : $i] : (($false = ((sK2 @ X1)))) ) | ~spl11_13),
% 8.15/1.57 inference(avatar_component_clause,[],[f1242])).
% 8.15/1.57 thf(f1939,plain,(
% 8.15/1.57 spl11_13 | ~spl11_2 | ~spl11_12),
% 8.15/1.57 inference(avatar_split_clause,[],[f1161,f269,f223,f1242])).
% 8.15/1.57 thf(f1981,plain,(
% 8.15/1.57 ($false = $true) | ($true = ((sK2 @ sK8))) | (~spl11_4 | ~spl11_8)),
% 8.15/1.57 inference(constrained_superposition,[],[f232,f251])).
% 8.15/1.57 thf(f1982,plain,(
% 8.15/1.57 ($true = ((sK2 @ sK8))) | (~spl11_4 | ~spl11_8)),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f1981])).
% 8.15/1.57 thf(f2095,plain,(
% 8.15/1.57 ($false = $true) | (~spl11_2 | ~spl11_9 | ~spl11_10)),
% 8.15/1.57 inference(constrained_superposition,[],[f723,f255])).
% 8.15/1.57 thf(f2198,plain,(
% 8.15/1.57 $false | (~spl11_2 | ~spl11_9 | ~spl11_10)),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f2095])).
% 8.15/1.57 thf(f2199,plain,(
% 8.15/1.57 ~spl11_2 | ~spl11_9 | ~spl11_10),
% 8.15/1.57 inference(avatar_contradiction_clause,[],[f2198])).
% 8.15/1.57 thf(f2512,plain,(
% 8.15/1.57 ($false = $true) | (~spl11_4 | ~spl11_8 | ~spl11_13)),
% 8.15/1.57 inference(constrained_superposition,[],[f1243,f1982])).
% 8.15/1.57 thf(f2540,plain,(
% 8.15/1.57 $false | (~spl11_4 | ~spl11_8 | ~spl11_13)),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f2512])).
% 8.15/1.57 thf(f2541,plain,(
% 8.15/1.57 ~spl11_4 | ~spl11_8 | ~spl11_13),
% 8.15/1.57 inference(avatar_contradiction_clause,[],[f2540])).
% 8.15/1.57 thf(f2945,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $i),X1 : $i] : (($false != $false) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (sK0 @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (sK4)))) @ Y0 @ Y1))))) @ X1 @ X3))) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (sK0 @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (sK4)))) @ Y0 @ Y1))))) @ X3 @ X2))) | (sK7 != ((X0 @ X1 @ X2)))) ) | (~spl11_2 | ~spl11_7)),
% 8.15/1.57 inference(constrained_superposition,[],[f472,f246])).
% 8.15/1.57 thf(f2982,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $i),X1 : $i] : (($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (sK0 @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (sK4)))) @ Y0 @ Y1))))) @ X1 @ X3))) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (sK0 @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (sK4)))) @ Y0 @ Y1))))) @ X3 @ X2))) | (sK7 != ((X0 @ X1 @ X2)))) ) | (~spl11_2 | ~spl11_7)),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f2945])).
% 8.15/1.57 thf(f2983,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $i),X1 : $i] : (($false = ((sK0 @ (X0 @ X1 @ X3) @ sK4))) | ($false = ((sK0 @ (X0 @ X3 @ X2) @ sK4))) | (sK7 != ((X0 @ X1 @ X2)))) ) | (~spl11_2 | ~spl11_7)),
% 8.15/1.57 inference(beta-eta_normalization,[],[f2982])).
% 8.15/1.57 thf(f3031,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $i),X1 : $i] : (($false = ((sK0 @ (X0 @ X1 @ X3) @ sK4))) | ($false = ((sK0 @ (X0 @ X3 @ X2) @ sK4)))) ) | (~spl11_2 | ~spl11_7)),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f2983,f488])).
% 8.15/1.57 thf(f3566,plain,(
% 8.15/1.57 ( ! [X0 : $i,X1 : $i] : (($false != $false) | ($false = ((sK0 @ ((^[Y0 : $i]: ((^[Y1 : $i]: (sK9)))) @ X0 @ X1) @ sK4)))) ) | (~spl11_2 | ~spl11_7 | spl11_10)),
% 8.15/1.57 inference(constrained_superposition,[],[f260,f3031])).
% 8.15/1.57 thf(f3661,plain,(
% 8.15/1.57 ( ! [X0 : $i,X1 : $i] : (($false = ((sK0 @ ((^[Y0 : $i]: ((^[Y1 : $i]: (sK9)))) @ X0 @ X1) @ sK4)))) ) | (~spl11_2 | ~spl11_7 | spl11_10)),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f3566])).
% 8.15/1.57 thf(f3662,plain,(
% 8.15/1.57 ($false = ((sK0 @ sK9 @ sK4))) | (~spl11_2 | ~spl11_7 | spl11_10)),
% 8.15/1.57 inference(beta-eta_normalization,[],[f3661])).
% 8.15/1.57 thf(f3788,plain,(
% 8.15/1.57 $false | (~spl11_2 | ~spl11_7 | spl11_10)),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f3662,f260])).
% 8.15/1.57 thf(f3789,plain,(
% 8.15/1.57 ~spl11_2 | ~spl11_7 | spl11_10),
% 8.15/1.57 inference(avatar_contradiction_clause,[],[f3788])).
% 8.15/1.57 thf(f3942,plain,(
% 8.15/1.57 ( ! [X2 : ($i > $i > $o),X3 : $i,X0 : $i,X1 : $i] : ((((sK3 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X1))) @ X2)) = X1) | ($false = ((X2 @ X0 @ X3))) | ($false = ((X2 @ X3 @ X1)))) ) | ~spl11_3),
% 8.15/1.57 inference(leibniz_equality_elimination,[],[f228])).
% 8.15/1.57 thf(f3951,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : (($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X7 @ X9))) | ($true = ((X5 @ X11))) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X9 @ X11))) | ($false = ((X5 @ (sK3 @ X7 @ X5 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1))))))))) ) | ~spl11_3),
% 8.15/1.57 inference(primitive_instantiation,[],[f228])).
% 8.15/1.57 thf(f3958,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X4 : ($i > $i > $o),X12 : ($i > $o)] : (($false = ((X4 @ X7 @ X9))) | ($true = (((^[Y0 : $i]: (~ (X12 @ Y0))) @ X11))) | ($false = ((X4 @ X9 @ X11))) | ($false = (((^[Y0 : $i]: (~ (X12 @ Y0))) @ (sK3 @ X7 @ (^[Y0 : $i]: (~ (X12 @ Y0))) @ X4))))) ) | ~spl11_3),
% 8.15/1.57 inference(primitive_instantiation,[],[f228])).
% 8.15/1.57 thf(f4301,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X4 : ($i > $i > $o),X12 : ($i > $o)] : (($false = ((X4 @ X7 @ X9))) | ($true = ((~ (X12 @ X11)))) | ($false = ((X4 @ X9 @ X11))) | ($false = ((~ (X12 @ (sK3 @ X7 @ (^[Y0 : $i]: (~ (X12 @ Y0))) @ X4)))))) ) | ~spl11_3),
% 8.15/1.57 inference(beta-eta_normalization,[],[f3958])).
% 8.15/1.57 thf(f4302,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X4 : ($i > $i > $o),X12 : ($i > $o)] : (($false = ((X4 @ X7 @ X9))) | ($false = ((X12 @ X11))) | ($false = ((X4 @ X9 @ X11))) | ($false = ((~ (X12 @ (sK3 @ X7 @ (^[Y0 : $i]: (~ (X12 @ Y0))) @ X4)))))) ) | ~spl11_3),
% 8.15/1.57 inference(not_proxy_clausification,[],[f4301])).
% 8.15/1.57 thf(f4303,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X4 : ($i > $i > $o),X12 : ($i > $o)] : (($false = ((X4 @ X7 @ X9))) | ($false = ((X12 @ X11))) | ($false = ((X4 @ X9 @ X11))) | ($true = ((X12 @ (sK3 @ X7 @ (^[Y0 : $i]: (~ (X12 @ Y0))) @ X4))))) ) | ~spl11_3),
% 8.15/1.57 inference(not_proxy_clausification,[],[f4302])).
% 8.15/1.57 thf(f4319,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : (($false = ((X7 = X9))) | ($true = ((X5 @ X11))) | ($false = ((X9 = X11))) | ($false = ((X5 @ (sK3 @ X7 @ X5 @ =))))) ) | ~spl11_3),
% 8.15/1.57 inference(beta-eta_normalization,[],[f3951])).
% 8.15/1.57 thf(f4320,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : ((X7 != X9) | ($true = ((X5 @ X11))) | ($false = ((X9 = X11))) | ($false = ((X5 @ (sK3 @ X7 @ X5 @ =))))) ) | ~spl11_3),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f4319])).
% 8.15/1.57 thf(f4321,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : (($true = ((X5 @ X11))) | ($false = ((X5 @ (sK3 @ X7 @ X5 @ =)))) | (X9 != X11) | (X7 != X9)) ) | ~spl11_3),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f4320])).
% 8.15/1.57 thf(f4373,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : (($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X7 @ X9))) | ($true = ((X5 @ X11))) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X9 @ X11))) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X7 @ (sK3 @ X7 @ X5 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1))))))))) ) | ~spl11_1),
% 8.15/1.57 inference(primitive_instantiation,[],[f221])).
% 8.15/1.57 thf(f4374,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : (($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ X7 @ X9))) | ($true = ((X5 @ X11))) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ X9 @ X11))) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ X7 @ (sK3 @ X7 @ X5 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1)))))))))) ) | ~spl11_1),
% 8.15/1.57 inference(primitive_instantiation,[],[f221])).
% 8.15/1.57 thf(f4818,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : (($false = ((~ (X7 = X9)))) | ($true = ((X5 @ X11))) | ($false = ((~ (X9 = X11)))) | ($true = ((~ (X7 = (sK3 @ X7 @ X5 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))))))) ) | ~spl11_1),
% 8.15/1.57 inference(beta-eta_normalization,[],[f4374])).
% 8.15/1.57 thf(f4819,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : (($true = ((X7 = X9))) | ($true = ((X5 @ X11))) | ($false = ((~ (X9 = X11)))) | ($true = ((~ (X7 = (sK3 @ X7 @ X5 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))))))) ) | ~spl11_1),
% 8.15/1.57 inference(not_proxy_clausification,[],[f4818])).
% 8.15/1.57 thf(f4820,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : ((X7 = X9) | ($true = ((X5 @ X11))) | ($false = ((~ (X9 = X11)))) | ($true = ((~ (X7 = (sK3 @ X7 @ X5 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))))))) ) | ~spl11_1),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f4819])).
% 8.15/1.57 thf(f4821,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : ((X7 = X9) | ($true = ((X5 @ X11))) | ($true = ((X9 = X11))) | ($true = ((~ (X7 = (sK3 @ X7 @ X5 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))))))) ) | ~spl11_1),
% 8.15/1.57 inference(not_proxy_clausification,[],[f4820])).
% 8.15/1.57 thf(f4822,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : ((X7 = X9) | ($true = ((X5 @ X11))) | (X9 = X11) | ($true = ((~ (X7 = (sK3 @ X7 @ X5 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))))))) ) | ~spl11_1),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f4821])).
% 8.15/1.57 thf(f4823,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : ((X7 = X9) | ($true = ((X5 @ X11))) | (X9 = X11) | ($false = ((X7 = (sK3 @ X7 @ X5 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1)))))))))) ) | ~spl11_1),
% 8.15/1.57 inference(not_proxy_clausification,[],[f4822])).
% 8.15/1.57 thf(f4824,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : ((((sK3 @ X7 @ X5 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))) != X7) | ($true = ((X5 @ X11))) | (X9 = X11) | (X7 = X9)) ) | ~spl11_1),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f4823])).
% 8.15/1.57 thf(f4825,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : (($false = ((X7 = X9))) | ($true = ((X5 @ X11))) | ($false = ((X9 = X11))) | ($true = ((X7 = (sK3 @ X7 @ X5 @ =))))) ) | ~spl11_1),
% 8.15/1.57 inference(beta-eta_normalization,[],[f4373])).
% 8.15/1.57 thf(f4826,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : ((X7 != X9) | ($true = ((X5 @ X11))) | ($false = ((X9 = X11))) | ($true = ((X7 = (sK3 @ X7 @ X5 @ =))))) ) | ~spl11_1),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f4825])).
% 8.15/1.57 thf(f4827,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : ((X7 != X9) | ($true = ((X5 @ X11))) | (X9 != X11) | ($true = ((X7 = (sK3 @ X7 @ X5 @ =))))) ) | ~spl11_1),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f4826])).
% 8.15/1.57 thf(f4828,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : (($true = ((X5 @ X11))) | (((sK3 @ X7 @ X5 @ =)) = X7) | (X9 != X11) | (X7 != X9)) ) | ~spl11_1),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f4827])).
% 8.15/1.57 thf(f8877,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : ((X0 != X1) | ($true = (((^[Y0 : $i]: (~ (Y0 = X0))) @ X2))) | (X2 = X3) | (X1 = X3) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ X1 @ X4))) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ X4 @ X0)))) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(constrained_superposition,[],[f4824,f3942])).
% 8.15/1.57 thf(f9170,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : ((X0 != X1) | ($true = ((~ (X2 = X0)))) | (X2 = X3) | (X1 = X3) | ($false = ((~ (X1 = X4)))) | ($false = ((~ (X4 = X0))))) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(beta-eta_normalization,[],[f8877])).
% 8.15/1.57 thf(f9171,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : ((X0 != X1) | ($false = ((X2 = X0))) | (X2 = X3) | (X1 = X3) | ($false = ((~ (X1 = X4)))) | ($false = ((~ (X4 = X0))))) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(not_proxy_clausification,[],[f9170])).
% 8.15/1.57 thf(f9172,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : ((X0 != X1) | (X0 != X2) | (X2 = X3) | (X1 = X3) | ($false = ((~ (X1 = X4)))) | ($false = ((~ (X4 = X0))))) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f9171])).
% 8.15/1.57 thf(f9173,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : ((X0 != X1) | (X0 != X2) | (X2 = X3) | (X1 = X3) | ($true = ((X1 = X4))) | ($false = ((~ (X4 = X0))))) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(not_proxy_clausification,[],[f9172])).
% 8.15/1.57 thf(f9174,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : ((X0 != X1) | (X0 != X2) | (X2 = X3) | (X1 = X3) | (X1 = X4) | ($false = ((~ (X4 = X0))))) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f9173])).
% 8.15/1.57 thf(f9175,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : ((X0 != X1) | (X0 != X2) | (X2 = X3) | (X1 = X3) | (X1 = X4) | ($true = ((X4 = X0)))) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(not_proxy_clausification,[],[f9174])).
% 8.15/1.57 thf(f9176,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : ((X2 = X3) | (X1 = X3) | (X1 = X4) | (X0 = X4) | (X0 != X1) | (X0 != X2)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f9175])).
% 8.15/1.57 thf(f9488,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $o),X4 : $i,X5 : $i] : (($true = ((X1 @ X0))) | ($false = ((X0 = X2))) | (((X1 @ X3)) = $false) | ($false = ((X2 = X3))) | ($true = (((^[Y0 : $i]: (~ (X1 @ Y0))) @ X4))) | (X4 != X5) | (X0 != X5)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(constrained_superposition,[],[f4303,f4828])).
% 8.15/1.57 thf(f10178,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $o),X4 : $i,X5 : $i] : (($true = ((X1 @ X0))) | (X0 != X2) | (((X1 @ X3)) = $false) | ($false = ((X2 = X3))) | ($true = (((^[Y0 : $i]: (~ (X1 @ Y0))) @ X4))) | (X4 != X5) | (X0 != X5)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f9488])).
% 8.15/1.57 thf(f10179,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $o),X4 : $i,X5 : $i] : (($true = ((X1 @ X0))) | (X0 != X2) | (((X1 @ X3)) = $false) | (X2 != X3) | ($true = (((^[Y0 : $i]: (~ (X1 @ Y0))) @ X4))) | (X4 != X5) | (X0 != X5)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(equality_proxy_clausification,[],[f10178])).
% 8.15/1.57 thf(f10180,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $o),X4 : $i,X5 : $i] : (($true = ((X1 @ X0))) | (X0 != X2) | (((X1 @ X3)) = $false) | (X2 != X3) | ($true = ((~ (X1 @ X4)))) | (X4 != X5) | (X0 != X5)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(beta-eta_normalization,[],[f10179])).
% 8.15/1.57 thf(f10181,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $o),X4 : $i,X5 : $i] : (($true = ((X1 @ X0))) | (((X1 @ X3)) = $false) | (((X1 @ X4)) = $false) | (X2 != X3) | (X0 != X2) | (X4 != X5) | (X0 != X5)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(not_proxy_clausification,[],[f10180])).
% 8.15/1.57 thf(f13422,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((X1 != X2) | (X0 = X3) | (X0 = X2) | (X0 = X2) | (X1 != X2) | (X1 != X3)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(equality_factoring,[],[f9176])).
% 8.15/1.57 thf(f13425,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((X0 = X3) | (X0 = X2) | (X1 != X2) | (X1 != X3)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(duplicate_literal_removal,[],[f13422])).
% 8.15/1.57 thf(f15340,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = $true) | ($false = (((^[Y0 : $i]: (sK2 @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X1))) | ($false = (((^[Y0 : $i]: (sK2 @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X2))) | (X1 != X3) | (X0 != X3) | (X2 != X4) | (X0 != X4) | (sK10 != X0)) ) | (~spl11_1 | ~spl11_3 | ~spl11_12)),
% 8.15/1.57 inference(constrained_superposition,[],[f10181,f271])).
% 8.15/1.57 thf(f16162,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (((^[Y0 : $i]: (sK2 @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X1))) | ($false = (((^[Y0 : $i]: (sK2 @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X2))) | (X1 != X3) | (X0 != X3) | (X2 != X4) | (X0 != X4) | (sK10 != X0)) ) | (~spl11_1 | ~spl11_3 | ~spl11_12)),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f15340])).
% 8.15/1.57 thf(f16163,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = ((sK2 @ X1))) | ($false = ((sK2 @ X2))) | (X1 != X3) | (X0 != X3) | (X2 != X4) | (X0 != X4) | (sK10 != X0)) ) | (~spl11_1 | ~spl11_3 | ~spl11_12)),
% 8.15/1.57 inference(beta-eta_normalization,[],[f16162])).
% 8.15/1.57 thf(f16430,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((X1 != X1) | (X0 = X1) | (X0 != X2) | (X0 != X2)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(equality_factoring,[],[f13425])).
% 8.15/1.57 thf(f16431,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((X1 != X1) | (X0 = X1) | (X0 != X2)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(duplicate_literal_removal,[],[f16430])).
% 8.15/1.57 thf(f16432,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((X0 = X1) | (X0 != X2)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f16431])).
% 8.15/1.57 thf(f16484,plain,(
% 8.15/1.57 ( ! [X2 : ($i > $o),X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((X0 != X1) | ($true = ((X2 @ X3))) | (X3 = X4) | (X1 = X4) | (X0 != X5)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(constrained_superposition,[],[f4824,f16432])).
% 8.15/1.57 thf(f16505,plain,(
% 8.15/1.57 ( ! [X2 : ($i > $o),X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((X0 != X1) | ($true = ((X2 @ X3))) | (X3 = X4) | (X0 != X5)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f16484,f16432])).
% 8.15/1.57 thf(f16574,plain,(
% 8.15/1.57 ( ! [X2 : ($i > $o),X3 : $i,X0 : $i,X4 : $i,X5 : $i] : (($true = ((X2 @ X3))) | (X3 = X4) | (X0 != X5)) ) | (~spl11_1 | ~spl11_3)),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f16505,f16432])).
% 8.15/1.57 thf(f16576,definition,(
% 8.15/1.57 spl11_137 <=> ! [X2 : $i,X3 : $i] : (X2 = X3)),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_137])],[avatar_definition])).
% 8.15/1.57 thf(f16577,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i] : ((X2 = X3)) ) | ~spl11_137),
% 8.15/1.57 inference(avatar_component_clause,[],[f16576])).
% 8.15/1.57 thf(f16583,definition,(
% 8.15/1.57 spl11_139 <=> ! [X4 : $i,X2 : $i] : (X2 != X4)),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_139])],[avatar_definition])).
% 8.15/1.57 thf(f16584,plain,(
% 8.15/1.57 ( ! [X2 : $i,X4 : $i] : ((X2 != X4)) ) | ~spl11_139),
% 8.15/1.57 inference(avatar_component_clause,[],[f16583])).
% 8.15/1.57 thf(f16587,definition,(
% 8.15/1.57 spl11_140 <=> ! [X2 : ($i > $o),X4 : $i,X3 : $i] : (($true = ((X2 @ X3))) | (X3 = X4))),
% 8.15/1.57 introduced(definition,[new_symbols(definition,[spl11_140])],[avatar_definition])).
% 8.15/1.57 thf(f16588,plain,(
% 8.15/1.57 ( ! [X2 : ($i > $o),X3 : $i,X4 : $i] : (($true = ((X2 @ X3))) | (X3 = X4)) ) | ~spl11_140),
% 8.15/1.57 inference(avatar_component_clause,[],[f16587])).
% 8.15/1.57 thf(f16589,plain,(
% 8.15/1.57 spl11_139 | spl11_140 | ~spl11_1 | ~spl11_3),
% 8.15/1.57 inference(avatar_split_clause,[],[f16574,f227,f220,f16587,f16583])).
% 8.15/1.57 thf(f16590,plain,(
% 8.15/1.57 $false | ~spl11_139),
% 8.15/1.57 inference(flex-flex_simplification,[],[f16584])).
% 8.15/1.57 thf(f16591,plain,(
% 8.15/1.57 ~spl11_139),
% 8.15/1.57 inference(avatar_contradiction_clause,[],[f16590])).
% 8.15/1.57 thf(f17958,plain,(
% 8.15/1.57 ( ! [X3 : $i,X4 : $i] : (($true = (((^[Y0 : $i]: ($false)) @ X3))) | (X3 = X4)) ) | ~spl11_140),
% 8.15/1.57 inference(primitive_instantiation,[],[f16588])).
% 8.15/1.57 thf(f18288,plain,(
% 8.15/1.57 ( ! [X3 : $i,X4 : $i] : (($false = $true) | (X3 = X4)) ) | ~spl11_140),
% 8.15/1.57 inference(beta-eta_normalization,[],[f17958])).
% 8.15/1.57 thf(f18289,plain,(
% 8.15/1.57 ( ! [X3 : $i,X4 : $i] : ((X3 = X4)) ) | ~spl11_140),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f18288])).
% 8.15/1.57 thf(f18333,plain,(
% 8.15/1.57 spl11_137 | ~spl11_140),
% 8.15/1.57 inference(avatar_split_clause,[],[f18289,f16587,f16576])).
% 8.15/1.57 thf(f18384,plain,(
% 8.15/1.57 ( ! [X11 : $i,X9 : $i,X7 : $i,X5 : ($i > $o)] : (($true = ((X5 @ X11))) | ($false = ((X5 @ (sK3 @ X7 @ X5 @ =)))) | (X9 != X11)) ) | (~spl11_3 | ~spl11_137)),
% 8.15/1.57 inference(backward_subsumption_resolution,[],[f4321,f16577])).
% 8.15/1.57 thf(f18463,plain,(
% 8.15/1.57 ( ! [X11 : $i,X7 : $i,X5 : ($i > $o)] : (($true = ((X5 @ X11))) | ($false = ((X5 @ (sK3 @ X7 @ X5 @ =))))) ) | (~spl11_3 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f18384,f16588])).
% 8.15/1.57 thf(f18537,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : ($i > $i),X1 : $i] : (($false = $true) | ($false = (((^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ ((^[Y1 : $i]: (sK4)) @ Y0))) @ (sK3 @ X2 @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ ((^[Y1 : $i]: (sK4)) @ Y0))) @ =)))) | (sK7 != ((X0 @ X1)))) ) | (~spl11_3 | ~spl11_7 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(constrained_superposition,[],[f246,f18463])).
% 8.15/1.57 thf(f18832,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : ($i > $i),X1 : $i] : (($false = (((^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ ((^[Y1 : $i]: (sK4)) @ Y0))) @ (sK3 @ X2 @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ ((^[Y1 : $i]: (sK4)) @ Y0))) @ =)))) | (sK7 != ((X0 @ X1)))) ) | (~spl11_3 | ~spl11_7 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f18537])).
% 8.15/1.57 thf(f18833,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : ($i > $i),X1 : $i] : (($false = ((sK0 @ (X0 @ (sK3 @ X2 @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ sK4)) @ =)) @ sK4))) | (sK7 != ((X0 @ X1)))) ) | (~spl11_3 | ~spl11_7 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(beta-eta_normalization,[],[f18832])).
% 8.15/1.57 thf(f19040,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : ($i > $i)] : (($false = ((sK0 @ (X0 @ (sK3 @ X2 @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ sK4)) @ =)) @ sK4)))) ) | (~spl11_3 | ~spl11_7 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f18833,f16577])).
% 8.15/1.57 thf(f25394,plain,(
% 8.15/1.57 ($false = $true) | (~spl11_3 | ~spl11_6 | ~spl11_7 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(constrained_superposition,[],[f19040,f241])).
% 8.15/1.57 thf(f25734,plain,(
% 8.15/1.57 $false | (~spl11_3 | ~spl11_6 | ~spl11_7 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f25394])).
% 8.15/1.57 thf(f25735,plain,(
% 8.15/1.57 ~spl11_3 | ~spl11_6 | ~spl11_7 | ~spl11_137 | ~spl11_140),
% 8.15/1.57 inference(avatar_contradiction_clause,[],[f25734])).
% 8.15/1.57 thf(f25921,plain,(
% 8.15/1.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = ((sK2 @ X1))) | ($false = ((sK2 @ X2))) | (X0 != X3) | (X2 != X4) | (X0 != X4) | (sK10 != X0)) ) | (~spl11_1 | ~spl11_3 | ~spl11_12 | ~spl11_137)),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f16163,f16577])).
% 8.15/1.57 thf(f25972,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = ((sK2 @ X1))) | ($false = ((sK2 @ X2))) | (X2 != X4) | (X0 != X4) | (sK10 != X0)) ) | (~spl11_1 | ~spl11_3 | ~spl11_12 | ~spl11_137)),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f25921,f16577])).
% 8.15/1.57 thf(f25996,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = ((sK2 @ X1))) | ($false = ((sK2 @ X2))) | (X0 != X4) | (sK10 != X0)) ) | (~spl11_1 | ~spl11_3 | ~spl11_12 | ~spl11_137)),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f25972,f16577])).
% 8.15/1.57 thf(f26006,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = ((sK2 @ X1))) | ($false = ((sK2 @ X2))) | (sK10 != X0)) ) | (~spl11_1 | ~spl11_3 | ~spl11_12 | ~spl11_137)),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f25996,f16577])).
% 8.15/1.57 thf(f26014,plain,(
% 8.15/1.57 ( ! [X2 : $i,X1 : $i] : (($false = ((sK2 @ X1))) | ($false = ((sK2 @ X2)))) ) | (~spl11_1 | ~spl11_3 | ~spl11_12 | ~spl11_137)),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f26006,f16577])).
% 8.15/1.57 thf(f26020,plain,(
% 8.15/1.57 spl11_13 | spl11_13 | ~spl11_1 | ~spl11_3 | ~spl11_12 | ~spl11_137),
% 8.15/1.57 inference(avatar_split_clause,[],[f26014,f16576,f269,f227,f220,f1242,f1242])).
% 8.15/1.57 thf(f26505,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : ($i > $i),X1 : $i] : (($false != $false) | ($true = (((^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ ((^[Y1 : $i]: (sK4)) @ Y0))) @ X2))) | (sK7 != ((X0 @ (sK3 @ X1 @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ sK4)) @ =))))) ) | (~spl11_3 | spl11_7 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(constrained_superposition,[],[f245,f18463])).
% 8.15/1.57 thf(f26512,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : ($i > $i),X1 : $i] : (($true = (((^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ ((^[Y1 : $i]: (sK4)) @ Y0))) @ X2))) | (sK7 != ((X0 @ (sK3 @ X1 @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ sK4)) @ =))))) ) | (~spl11_3 | spl11_7 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f26505])).
% 8.15/1.57 thf(f26513,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : ($i > $i),X1 : $i] : (($true = ((sK0 @ (X0 @ X2) @ sK4))) | (sK7 != ((X0 @ (sK3 @ X1 @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ sK4)) @ =))))) ) | (~spl11_3 | spl11_7 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(beta-eta_normalization,[],[f26512])).
% 8.15/1.57 thf(f26681,plain,(
% 8.15/1.57 ( ! [X2 : $i,X0 : ($i > $i)] : (($true = ((sK0 @ (X0 @ X2) @ sK4)))) ) | (~spl11_3 | spl11_7 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(forward_subsumption_resolution,[],[f26513,f16577])).
% 8.15/1.57 thf(f27266,plain,(
% 8.15/1.57 ($false = $true) | (~spl11_3 | spl11_7 | ~spl11_10 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(constrained_superposition,[],[f26681,f261])).
% 8.15/1.57 thf(f27745,plain,(
% 8.15/1.57 $false | (~spl11_3 | spl11_7 | ~spl11_10 | ~spl11_137 | ~spl11_140)),
% 8.15/1.57 inference(trivial_inequality_removal,[],[f27266])).
% 8.15/1.57 thf(f27746,plain,(
% 8.15/1.57 ~spl11_3 | spl11_7 | ~spl11_10 | ~spl11_137 | ~spl11_140),
% 8.15/1.57 inference(avatar_contradiction_clause,[],[f27745])).
% 8.15/1.57 cnf(s1, plain, spl11_1 | spl11_2, inference(sat_conversion,[],[f225])).
% 8.15/1.57 cnf(s2, plain, spl11_2 | spl11_3, inference(sat_conversion,[],[f229])).
% 8.15/1.57 cnf(s4, plain, spl11_4 | spl11_6, inference(sat_conversion,[],[f242])).
% 8.15/1.57 cnf(s5, plain, spl11_4 | spl11_7, inference(sat_conversion,[],[f247])).
% 8.15/1.57 cnf(s6, plain, spl11_8 | spl11_9, inference(sat_conversion,[],[f256])).
% 8.15/1.57 cnf(s7, plain, spl11_6 | spl11_8, inference(sat_conversion,[],[f257])).
% 8.15/1.57 cnf(s8, plain, spl11_8 | spl11_10, inference(sat_conversion,[],[f262])).
% 8.15/1.57 cnf(s10, plain, spl11_9 | spl11_12, inference(sat_conversion,[],[f272])).
% 8.15/1.57 cnf(s12, plain, spl11_6 | spl11_12, inference(sat_conversion,[],[f274])).
% 8.15/1.57 cnf(s14, plain, spl11_10 | spl11_12, inference(sat_conversion,[],[f276])).
% 8.15/1.57 cnf(s16, plain, ~spl11_2 | ~spl11_6 | ~spl11_10, inference(sat_conversion,[],[f1136])).
% 8.15/1.57 cnf(s62, plain, ~spl11_2 | ~spl11_12 | spl11_13, inference(sat_conversion,[],[f1939])).
% 8.15/1.57 cnf(s64, plain, ~spl11_2 | ~spl11_9 | ~spl11_10, inference(sat_conversion,[],[f2199])).
% 8.15/1.57 cnf(s87, plain, ~spl11_4 | ~spl11_8 | ~spl11_13, inference(sat_conversion,[],[f2541])).
% 8.15/1.57 cnf(s90, plain, ~spl11_2 | ~spl11_7 | spl11_10, inference(sat_conversion,[],[f3789])).
% 8.15/1.57 cnf(s291, plain, ~spl11_1 | ~spl11_3 | spl11_139 | spl11_140, inference(sat_conversion,[],[f16589])).
% 8.15/1.57 cnf(s292, plain, ~spl11_139, inference(sat_conversion,[],[f16591])).
% 8.15/1.57 cnf(s364, plain, spl11_137 | ~spl11_140, inference(sat_conversion,[],[f18333])).
% 8.15/1.57 cnf(s414, plain, ~spl11_3 | ~spl11_6 | ~spl11_7 | ~spl11_137 | ~spl11_140, inference(sat_conversion,[],[f25735])).
% 8.15/1.57 cnf(s471, plain, spl11_13 | ~spl11_3 | ~spl11_12 | ~spl11_1 | spl11_13 | ~spl11_137, inference(sat_conversion,[],[f26020])).
% 8.15/1.57 cnf(s472, plain, ~spl11_1 | ~spl11_3 | ~spl11_12 | spl11_13 | ~spl11_137, inference(rat,[],[s471])).
% 8.15/1.57 cnf(s498, plain, ~spl11_3 | spl11_7 | ~spl11_10 | ~spl11_137 | ~spl11_140, inference(sat_conversion,[],[f27746])).
% 8.15/1.57 cnf(s501, plain, ~spl11_1 | ~spl11_3 | spl11_140, inference(rat,[],[s291,s292])).
% 8.15/1.57 cnf(s516, plain, spl11_4 | ~spl11_2, inference(rat,[],[s16,s90,s4,s5])).
% 8.15/1.57 cnf(s517, plain, spl11_10 | ~spl11_2, inference(rat,[],[s87,s62,s8,s14,s516])).
% 8.15/1.57 cnf(s518, plain, ~spl11_2, inference(rat,[],[s87,s62,s6,s10,s64,s517,s516])).
% 8.15/1.57 cnf(s519, plain, spl11_3, inference(rat,[],[s2,s518])).
% 8.15/1.57 cnf(s520, plain, spl11_1, inference(rat,[],[s1,s518])).
% 8.15/1.57 cnf(s524, plain, spl11_140, inference(rat,[],[s501,s519,s520])).
% 8.15/1.57 cnf(s528, plain, spl11_137, inference(rat,[],[s364,s524])).
% 8.15/1.57 cnf(s533, plain, spl11_10 | ~spl11_4, inference(rat,[],[s87,s472,s8,s14,s520,s519,s528])).
% 8.15/1.57 cnf(s534, plain, ~spl11_4, inference(rat,[],[s87,s472,s7,s12,s414,s498,s533,s520,s519,s528,s524])).
% 8.15/1.57 cnf(s535, plain, spl11_7, inference(rat,[],[s5,s534])).
% 8.15/1.57 cnf(s536, plain, spl11_6, inference(rat,[],[s4,s534])).
% 8.15/1.57 cnf(s540, plain, $false, inference(rat,[],[s414,s524,s528,s519,s535,s536])).
% 8.15/1.57 thf(f27916,plain,(
% 8.15/1.57 $false),
% 8.15/1.57 inference(avatar_sat_refutation,[],[s540])).
% 8.15/1.57 % SZS output end Proof for theBenchmark
% 8.15/1.57 % (4030535)------------------------------
% 8.15/1.57 % (4030535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.57 % (4030535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.57 % (4030535)CaDiCaL version: 2.1.3
% 8.15/1.57 % (4030535)Termination reason: Refutation
% 8.15/1.57 % (4030535)Time elapsed: 1.286 s
% 8.15/1.57 % (4030535)Peak memory usage: 20 MB
% 8.15/1.57 % (4030535)Instructions burned: 2961 (million)
% 8.15/1.57 % (4030529)Success in time 1.327 s
% 8.15/1.57 % Vampire exiting
%------------------------------------------------------------------------------