%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO374^5 : 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 : 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 08:49:49 AM UTC 2026
% Result : Theorem 4.57s 1.00s
% Output : Refutation 4.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO374^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n018.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 16:51:42 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.57/0.92 % (335287)Will run a generic schedule for satisfiability detection.
% 4.57/0.92 % (335298)dis+10_1_sil=32000:sp=arity:random_seed=1642533637:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.57/0.92 % (335296)% WARNING: option uhcvi not known.
% 4.57/0.92 % (335295)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2936203053_2999 on theBenchmark for (2999ds/0Mi)
% 4.57/0.92 % (335296)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4006842256:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.57/0.92 % (335297)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3603060246:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.57/0.92 % Exception at run slice level
% 4.57/0.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.57/0.92 % (335296)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.57/0.92 % (335296)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.57/0.92 % (335300)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1019031272:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.57/0.92 % (335301)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=695883592:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.57/0.92 % (335302)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=314354778:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.57/0.92 % (335300)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.57/0.92 % (335314)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3417561784:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.57/0.92 % Exception at run slice level
% 4.57/0.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.57/0.92 % (335298)Instruction limit reached!
% 4.57/0.92 % (335298)------------------------------
% 4.57/0.92 % (335298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/0.92 % (335298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/0.92 % (335298)CaDiCaL version: 2.1.3
% 4.57/0.92 % (335298)Termination reason: Instruction limit
% 4.57/0.92 % (335298)Termination phase: Saturation
% 4.57/0.92 % (335298)Time elapsed: 0.027 s
% 4.57/0.92 % (335298)Peak memory usage: 13 MB
% 4.57/0.92 % (335298)Instructions burned: 107 (million)
% 4.57/0.92 % (335324)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=358260695:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.57/0.92 % (335324)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.57/0.92 % (335324)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.57/0.92 % (335323)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1867925097:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.57/0.92 % (335300)Instruction limit reached!
% 4.57/0.92 % (335300)------------------------------
% 4.57/0.92 % (335300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/0.92 % (335300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/0.92 % (335300)CaDiCaL version: 2.1.3
% 4.57/0.92 % (335300)Termination reason: Instruction limit
% 4.57/0.92 % (335300)Termination phase: Saturation
% 4.57/0.92 % (335300)Time elapsed: 0.058 s
% 4.57/0.92 % (335300)Peak memory usage: 12 MB
% 4.57/0.92 % (335300)Instructions burned: 117 (million)
% 4.57/0.92 % (335301)Instruction limit reached!
% 4.57/0.92 % (335301)------------------------------
% 4.57/0.92 % (335301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/0.92 % (335301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/0.92 % (335301)CaDiCaL version: 2.1.3
% 4.57/0.92 % (335301)Termination reason: Instruction limit
% 4.57/0.92 % (335301)Termination phase: Saturation
% 4.57/0.92 % (335301)Time elapsed: 0.061 s
% 4.57/0.92 % (335301)Peak memory usage: 14 MB
% 4.57/0.92 % (335301)Instructions burned: 131 (million)
% 4.57/0.92 % (335331)ott-21_1_sil=16000:fs=off:random_seed=2398565791:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.57/0.92 % (335333)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2228702223:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 4.57/1.00 % (335302)Instruction limit reached!
% 4.57/1.00 % (335302)------------------------------
% 4.57/1.00 % (335302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.00 % (335302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.00 % (335302)CaDiCaL version: 2.1.3
% 4.57/1.00 % (335302)Termination reason: Instruction limit
% 4.57/1.00 % (335302)Termination phase: Saturation
% 4.57/1.00 % (335302)Time elapsed: 0.080 s
% 4.57/1.00 % (335302)Peak memory usage: 14 MB
% 4.57/1.00 % (335302)Instructions burned: 161 (million)
% 4.57/1.00 % (335333)Refutation not found, incomplete strategy
% 4.57/1.00 % (335333)------------------------------
% 4.57/1.00 % (335333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.00 % (335333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.00 % (335333)CaDiCaL version: 2.1.3
% 4.57/1.00 % (335333)Termination reason: Refutation not found, incomplete strategy
% 4.57/1.00 % (335333)Time elapsed: 0.006 s
% 4.57/1.00 % (335333)Peak memory usage: 12 MB
% 4.57/1.00 % (335333)Instructions burned: 8 (million)
% 4.57/1.00 % (335333)------------------------------
% 4.57/1.00 % (335333)------------------------------
% 4.57/1.00 % (335323)Instruction limit reached!
% 4.57/1.00 % (335323)------------------------------
% 4.57/1.00 % (335323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.00 % (335323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.00 % (335323)CaDiCaL version: 2.1.3
% 4.57/1.00 % (335323)Termination reason: Instruction limit
% 4.57/1.00 % (335323)Termination phase: Saturation
% 4.57/1.00 % (335323)Time elapsed: 0.061 s
% 4.57/1.00 % (335323)Peak memory usage: 14 MB
% 4.57/1.00 % (335323)Instructions burned: 131 (million)
% 4.57/1.00 % (335343)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2232233939:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 4.57/1.00 % Exception at run slice level
% 4.57/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.57/1.00 % (335346)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2470858458:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 4.57/1.00 % (335352)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3084798026:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 4.57/1.00 % Exception at run slice level
% 4.57/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.57/1.00 % (335354)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=3484948235: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)
% 4.57/1.00 % (335354)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.57/1.00 % (335358)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3028669357:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 4.57/1.00 % (335358)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.57/1.00 % (335331)Instruction limit reached!
% 4.57/1.00 % (335331)------------------------------
% 4.57/1.00 % (335331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.00 % (335331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.00 % (335331)CaDiCaL version: 2.1.3
% 4.57/1.00 % (335331)Termination reason: Instruction limit
% 4.57/1.00 % (335331)Termination phase: Saturation
% 4.57/1.00 % (335331)Time elapsed: 0.084 s
% 4.57/1.00 % (335331)Peak memory usage: 12 MB
% 4.57/1.00 % (335331)Instructions burned: 182 (million)
% 4.57/1.00 % (335378)fmb+10_1_sil=64000:random_seed=1205487914:i=22061:nm=2:gsp=on_2998 on theBenchmark for (2998ds/22061Mi)
% 4.57/1.00 % (335378)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.57/1.00 % Exception at run slice level
% 4.57/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.57/1.00 % (335324)Instruction limit reached!
% 4.57/1.00 % (335324)------------------------------
% 4.57/1.00 % (335324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.00 % (335324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.00 % (335324)CaDiCaL version: 2.1.3
% 4.57/1.00 % (335324)Termination reason: Instruction limit
% 4.57/1.00 % (335324)Termination phase: Saturation
% 4.57/1.00 % (335324)Time elapsed: 0.172 s
% 4.57/1.00 % (335324)Peak memory usage: 21 MB
% 4.57/1.00 % (335324)Instructions burned: 686 (million)
% 4.57/1.00 % (335392)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2301321871:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 4.57/1.00 % Exception at run slice level
% 4.57/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.57/1.00 % (335402)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4282998955:i=5131_2997 on theBenchmark for (2997ds/5131Mi)
% 4.57/1.00 % (335402)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.57/1.00 % (335401)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1599683374:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 4.57/1.00 % Exception at run slice level
% 4.57/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.57/1.00 % (335410)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3436556903:i=1472:ins=7:fdi=8:gsp=on_2997 on theBenchmark for (2997ds/1472Mi)
% 4.57/1.00 % (335410)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.57/1.00 % (335410)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.57/1.00 % (335354)Instruction limit reached!
% 4.57/1.00 % (335354)------------------------------
% 4.57/1.00 % (335354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.00 % (335354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.00 % (335354)CaDiCaL version: 2.1.3
% 4.57/1.00 % (335354)Termination reason: Instruction limit
% 4.57/1.00 % (335354)Termination phase: Saturation
% 4.57/1.00 % (335354)Time elapsed: 0.327 s
% 4.57/1.00 % (335354)Peak memory usage: 19 MB
% 4.57/1.00 % (335354)Instructions burned: 694 (million)
% 4.57/1.00 % (335412)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=518394488:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 4.57/1.00 % Exception at run slice level
% 4.57/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.57/1.00 % (335414)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3801447251:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 4.57/1.00 % Exception at run slice level
% 4.57/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.57/1.00 % (335416)ott-2_1_sil=16000:newcnf=on:random_seed=1387720673:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 4.57/1.00 % (335416)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.57/1.00 % (335358)Instruction limit reached!
% 4.57/1.00 % (335358)------------------------------
% 4.57/1.00 % (335358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.00 % (335358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.00 % (335358)CaDiCaL version: 2.1.3
% 4.57/1.00 % (335358)Termination reason: Instruction limit
% 4.57/1.00 % (335358)Termination phase: Saturation
% 4.57/1.00 % (335358)Time elapsed: 0.396 s
% 4.57/1.00 % (335358)Peak memory usage: 21 MB
% 4.57/1.00 % (335358)Instructions burned: 879 (million)
% 4.57/1.00 % (335418)ott+10_1_sil=32000:tgt=ground:random_seed=530839744:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 4.57/1.00 % (335346)Instruction limit reached!
% 4.57/1.00 % (335346)------------------------------
% 4.57/1.00 % (335346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.00 % (335346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.00 % (335346)CaDiCaL version: 2.1.3
% 4.57/1.00 % (335346)Termination reason: Instruction limit
% 4.57/1.00 % (335346)Termination phase: Saturation
% 4.57/1.00 % (335346)Time elapsed: 0.535 s
% 4.57/1.00 % (335346)Peak memory usage: 14 MB
% 4.57/1.00 % (335346)Instructions burned: 1181 (million)
% 4.57/1.00 % (335420)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=766252614:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 4.57/1.00 % Exception at run slice level
% 4.57/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.57/1.00 % (335422)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2094786109:i=3512:aac=none_2993 on theBenchmark for (2993ds/3512Mi)
% 4.57/1.00 % (335422)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.57/1.00 % (335410) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-335287-335410"...
% 4.57/1.00 % (335410)...printing done.
% 4.57/1.00 % (335410)Refutation found. Thanks to Tanya!
% 4.57/1.00 % SZS status Theorem for theBenchmark
% 4.57/1.00 % SZS output start Proof for theBenchmark
% 4.57/1.00 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 4.57/1.00 thf(func_def_0, type, cN: ($i > $i)).
% 4.57/1.00 thf(func_def_1, type, cM: ($i > $i)).
% 4.57/1.00 thf(func_def_3, type, sK0: (($i > $i) > $o)).
% 4.57/1.00 thf(func_def_6, type, sP1: ($o > $o)).
% 4.57/1.00 thf(func_def_7, type, vNOT: ($o > $o)).
% 4.57/1.00 thf(func_def_8, type, sF2: !>[X0: $tType]:(($i > ($i > X0) > X0))).
% 4.57/1.00 thf(func_def_9, type, sF3: !>[X0: $tType]:((X0 > (X0 > $o) > $o))).
% 4.57/1.00 thf(func_def_11, type, sF5: !>[X0: $tType, X1: $tType]:(((($i > X0) > X1) > ($i > X0) > X1))).
% 4.57/1.00 thf(func_def_12, type, sF6: ($o > $o)).
% 4.57/1.00 thf(func_def_13, type, sF7: (($o > $o) > $o > $o)).
% 4.57/1.00 thf(func_def_14, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 4.57/1.00 thf(func_def_15, type, db0: !>[X0: $tType]:(X0)).
% 4.57/1.00 thf(func_def_16, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 4.57/1.00 thf(func_def_17, type, db1: !>[X0: $tType]:(X0)).
% 4.57/1.00 thf(func_def_18, type, sF8: !>[X0: $tType, X1: $tType]:(($i > ($i > X0) > (X0 > X1) > X1))).
% 4.57/1.00 thf(func_def_19, type, sF9: (($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_20, type, sF10: ($i > $i > $i)).
% 4.57/1.00 thf(func_def_21, type, sF11: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > ((X0 > X2) > X1) > X1))).
% 4.57/1.00 thf(func_def_22, type, sF12: !>[X0: $tType]:((X0 > (X0 > X0) > X0))).
% 4.57/1.00 thf(func_def_23, type, sF13: (($i > $i) > $i > $o)).
% 4.57/1.00 thf(func_def_24, type, sK14: ($i > $i)).
% 4.57/1.00 thf(func_def_25, type, sF15: (($i > $i) > $i > $i > $i)).
% 4.57/1.00 thf(func_def_26, type, sF16: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > X0 > X1 > X2))).
% 4.57/1.00 thf(func_def_27, type, sK17: ($i > ($i > $i > $i) > $i)).
% 4.57/1.00 thf(func_def_28, type, sF18: (($i > $i > $i) > $i > $i > $i)).
% 4.57/1.00 thf(func_def_29, type, sF19: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X1 > X0) > X1 > X2))).
% 4.57/1.00 thf(func_def_30, type, sF20: !>[X0: $tType]:((X0 > (X0 > $i) > $i))).
% 4.57/1.00 thf(func_def_31, type, sK21: ($i > ($i > $i > $i) > $i)).
% 4.57/1.00 thf(func_def_32, type, sF22: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > X0) > X1 > X2) > (X1 > X0) > X1 > X2))).
% 4.57/1.00 thf(func_def_33, type, sF23: (($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_34, type, sF24: !>[X0: $tType, X1: $tType]:(((X1 > X0) > ($i > X1) > $i > (X0 > $o) > $o))).
% 4.57/1.00 thf(func_def_35, type, sK25: (($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_36, type, sF26: !>[X0: $tType]:((($i > X0) > $i > X0))).
% 4.57/1.00 thf(func_def_37, type, sF27: !>[X0: $tType]:(($i > ($i > X0) > (X0 > $o) > $o))).
% 4.57/1.00 thf(func_def_38, type, sF28: !>[X0: $tType]:((($i > X0) > $i > X0))).
% 4.57/1.00 thf(func_def_39, type, sF29: ($o > $o)).
% 4.57/1.00 thf(func_def_40, type, sF30: !>[X0: $tType]:((X0 > $i > X0))).
% 4.57/1.00 thf(func_def_41, type, sF31: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0) > (X0 > $o) > $o))).
% 4.57/1.00 thf(func_def_42, type, sF32: !>[X0: $tType, X1: $tType]:((X0 > $i > ($i > X0 > X1) > X1))).
% 4.57/1.00 thf(func_def_43, type, sF33: !>[X0: $tType, X1: $tType]:(((X0 > $i > X1) > X0 > $i > X1))).
% 4.57/1.00 thf(func_def_44, type, sF34: (($i > $o) > $i > $o)).
% 4.57/1.00 thf(func_def_45, type, sF35: ($o > $o)).
% 4.57/1.00 thf(func_def_46, type, sF36: ($o > $o)).
% 4.57/1.00 thf(func_def_47, type, sF37: (($i > $i) > $i > $i > $i)).
% 4.57/1.00 thf(func_def_48, type, sF38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0) > ((X1 > X0) > $i > X2 > X3) > X2 > $i > X3))).
% 4.57/1.00 thf(func_def_49, type, sF39: ($o > $o)).
% 4.57/1.00 thf(func_def_50, type, sF40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > (X0 > X1 > X2 > X3) > X2 > X1 > X3))).
% 4.57/1.00 thf(func_def_51, type, sF41: !>[X0: $tType]:(($i > ($i > $i > X0) > $i > X0))).
% 4.57/1.00 thf(func_def_52, type, sF42: ($o > $o)).
% 4.57/1.00 thf(func_def_53, type, sK43: ($i > $i)).
% 4.57/1.00 thf(func_def_54, type, sF44: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > X0))).
% 4.57/1.00 thf(func_def_55, type, sF45: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > (X0 > $o) > $o))).
% 4.57/1.00 thf(func_def_56, type, sF46: !>[X0: $tType]:(((X0 > X0) > $i > X0 > X0))).
% 4.57/1.00 thf(func_def_57, type, sF47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0) > ((X1 > X0) > X2 > X3) > X2 > X3))).
% 4.57/1.00 thf(func_def_58, type, sF48: (($i > $i) > $i > $i > $i)).
% 4.57/1.00 thf(func_def_59, type, sF49: !>[X0: $tType]:(($i > ($i > X0) > X0))).
% 4.57/1.00 thf(func_def_60, type, sK50: ($i > $i)).
% 4.57/1.00 thf(func_def_61, type, sF51: !>[X0: $tType, X1: $tType]:(((X0 > X0) > ((X0 > X0) > X1) > X1))).
% 4.57/1.00 thf(func_def_62, type, sK52: ($i > ($i > $i > $i) > $i)).
% 4.57/1.00 thf(func_def_63, type, sF53: ($i > ($i > $i > $i) > ($i > $i) > $o)).
% 4.57/1.00 thf(func_def_64, type, sF54: ($i > ($i > $i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_65, type, sF55: !>[X0: $tType]:((($i > $i > X0 > $i > $i) > $i > ($i > $i > X0) > (X0 > (X0 > $i > $i) > $i > $i) > $o))).
% 4.57/1.00 thf(func_def_66, type, sF56: !>[X0: $tType]:(($i > ($i > $i > X0) > $i > X0))).
% 4.57/1.00 thf(func_def_67, type, sF57: !>[X0: $tType]:((($i > $i > $i) > $i > ($i > $i > $i > X0) > (($i > X0) > $i > $i > $i) > $o))).
% 4.57/1.00 thf(func_def_68, type, sK58: (($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_69, type, sF59: !>[X0: $tType, X1: $tType]:((((X0 > X1) > $o) > (X0 > X1) > $o))).
% 4.57/1.00 thf(func_def_70, type, sF60: !>[X0: $tType]:((($i > $i > $i) > $i > ($i > $i > $i > X0) > (($i > X0) > $i > $i > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_71, type, sF61: !>[X0: $tType]:((($i > $i > X0 > $i > $i) > $i > ($i > $i > X0) > (X0 > (X0 > $i > $i) > $i > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_72, type, sF62: ((($i > $i) > $o) > ($i > $i) > $o)).
% 4.57/1.00 thf(func_def_73, type, sF63: !>[X0: $tType]:((X0 > (X0 > $i > $i) > $o))).
% 4.57/1.00 thf(func_def_74, type, sF64: ($i > $o)).
% 4.57/1.00 thf(func_def_75, type, sK65: ($i > $i)).
% 4.57/1.00 thf(func_def_76, type, sF66: ($i > $i > $i)).
% 4.57/1.00 thf(func_def_77, type, sF67: !>[X0: $tType]:((X0 > (X0 > $i > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_78, type, sF68: !>[X0: $tType, X1: $tType]:((($i > $i > X0) > $i > (($i > $i > X1) > $i > ($i > $i > X0) > (X0 > X1 > $i > $i) > $i > $i) > (X0 > X1 > $i > $i) > ($i > $i > X1) > $i > $i))).
% 4.57/1.00 thf(func_def_79, type, sF69: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $i > $i) > $i > ($i > $i > X0) > ($i > $i > X1) > $i > $i))).
% 4.57/1.00 thf(func_def_80, type, sF70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType]:((X4 > (X1 > X6 > X7) > (X5 > X4 > (X1 > X6 > X7) > (X2 > X3 > X0) > $i > $i) > X5 > (X2 > X3 > X0) > $i > $i))).
% 4.57/1.00 thf(func_def_81, type, sF71: !>[X0: $tType]:(((X0 > $i > $i) > ($i > $i) > X0 > $i > $i))).
% 4.57/1.00 thf(func_def_82, type, sK72: (($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_83, type, sF73: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0 > $i > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_84, type, sF74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > X3 > X0) > X4 > (X5 > X4 > X1 > (X2 > X3 > X0) > $i > $i) > X1 > X5 > $i > $i))).
% 4.57/1.00 thf(func_def_85, type, sF75: (($i > $i) > $o)).
% 4.57/1.00 thf(func_def_86, type, sF76: ($i > $o)).
% 4.57/1.00 thf(func_def_87, type, sK77: ($i > $i)).
% 4.57/1.00 thf(func_def_88, type, sF78: ($i > $i > $i)).
% 4.57/1.00 thf(func_def_89, type, sF79: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > X0 > X1 > (X0 > X2 > X1 > $i > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_90, type, sF80: !>[X0: $tType]:((X0 > (X0 > $i > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_91, type, sF81: ($i > $i > $i)).
% 4.57/1.00 thf(func_def_92, type, sF82: (($i > $i) > $i > $o)).
% 4.57/1.00 thf(func_def_93, type, sF83: (($i > $i) > $o)).
% 4.57/1.00 thf(func_def_94, type, sF84: (($i > $i > $i) > $i > $o)).
% 4.57/1.00 thf(func_def_95, type, sK85: ($i > $i)).
% 4.57/1.00 thf(func_def_96, type, sK86: ($i > $i)).
% 4.57/1.00 thf(func_def_97, type, sF87: ($i > $o)).
% 4.57/1.00 thf(func_def_98, type, sK88: ($i > $i)).
% 4.57/1.00 thf(func_def_99, type, sF89: ($i > $i)).
% 4.57/1.00 thf(func_def_100, type, sK90: ($i > $i)).
% 4.57/1.00 thf(func_def_101, type, sK91: ($i > $i)).
% 4.57/1.00 thf(func_def_102, type, sF92: ($i > $i > $i)).
% 4.57/1.00 thf(func_def_103, type, sF93: ($i > $o)).
% 4.57/1.00 thf(func_def_104, type, sF94: ($i > $o)).
% 4.57/1.00 thf(func_def_105, type, sK95: ($i > $i)).
% 4.57/1.00 thf(func_def_106, type, sF96: (($i > $i) > $i > $o)).
% 4.57/1.00 thf(func_def_107, type, sF97: ($i > $i > $i)).
% 4.57/1.00 thf(func_def_108, type, sF98: ($i > $i > $i)).
% 4.57/1.00 thf(func_def_109, type, sK99: ($i > $i)).
% 4.57/1.00 thf(func_def_110, type, sK100: ($i > $i)).
% 4.57/1.00 thf(func_def_111, type, sK101: ($i > $i)).
% 4.57/1.00 thf(func_def_112, type, sK102: ($i > $i)).
% 4.57/1.00 thf(func_def_113, type, sK103: ($i > $i)).
% 4.57/1.00 thf(func_def_114, type, sK104: ($i > $i)).
% 4.57/1.00 thf(func_def_115, type, sF105: (($i > $i > $i) > $i > $o)).
% 4.57/1.00 thf(func_def_116, type, sF106: !>[X0: $tType]:((($i > X0) > $i > $i > X0))).
% 4.57/1.00 thf(func_def_117, type, sF107: ($i > $i)).
% 4.57/1.00 thf(func_def_118, type, sK108: ($i > ($i > $i) > $i)).
% 4.57/1.00 thf(func_def_119, type, sF109: (($i > $i) > $o)).
% 4.57/1.00 thf(func_def_120, type, sK110: (($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_121, type, sK111: ($i > ($i > $i) > $i)).
% 4.57/1.00 thf(func_def_122, type, sF112: ($i > $i > $i)).
% 4.57/1.00 thf(func_def_123, type, sK113: (($i > $i) > $i)).
% 4.57/1.00 thf(func_def_124, type, sF114: (($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_125, type, sF115: !>[X0: $tType, X1: $tType]:(((X1 > $i) > (X0 > X1) > X0 > ($i > X0) > X0))).
% 4.57/1.00 thf(func_def_126, type, sF116: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0) > (X0 > $i) > $i))).
% 4.57/1.00 thf(func_def_127, type, sF117: (($i > $i) > ($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_128, type, sF118: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > ($i > $i > $i) > X0))).
% 4.57/1.00 thf(func_def_129, type, sF119: !>[X0: $tType]:((($i > $i > $i) > ($i > $i) > ($i > ($i > $i) > $i) > ($i > X0) > X0))).
% 4.57/1.00 thf(func_def_130, type, sF120: (($i > $i > $i) > ($i > ($i > $i) > $i) > ($i > $i) > $i)).
% 4.57/1.00 thf(func_def_131, type, sF121: (($i > $i) > ($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_132, type, sF122: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > ($i > $i > $i) > X0))).
% 4.57/1.00 thf(func_def_133, type, sF123: !>[X0: $tType]:((($i > X0) > ($i > $i) > ($i > X0 > $i) > ($i > X0) > X0))).
% 4.57/1.00 thf(func_def_134, type, sF124: !>[X0: $tType]:((($i > X0) > ($i > $i) > ($i > X0 > $i) > $i))).
% 4.57/1.00 thf(func_def_135, type, sF125: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_136, type, sF126: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_137, type, sF127: (($i > $i) > ($i > $i) > ($i > $i) > $i)).
% 4.57/1.00 thf(func_def_138, type, sF128: (($i > $i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_139, type, sF129: !>[X0: $tType]:((($i > $i > $i) > (($i > $i) > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_140, type, sF130: !>[X0: $tType]:((($i > $i > $i) > ($i > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_141, type, sF131: (($i > $i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_142, type, sF132: !>[X0: $tType]:((($i > $i > $i) > (($i > $i) > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_143, type, sF133: !>[X0: $tType]:((($i > $i > $i) > ($i > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_144, type, sF134: !>[X0: $tType]:((($i > X0 > $i) > ($i > X0) > $i > $i))).
% 4.57/1.00 thf(func_def_145, type, sF135: !>[X0: $tType, X1: $tType]:((($i > X1 > $i) > ($i > X1) > (($i > $i) > X0) > X0))).
% 4.57/1.00 thf(func_def_146, type, sF136: !>[X0: $tType, X1: $tType]:((($i > X1 > $i) > ($i > X1) > ($i > X0) > X0))).
% 4.57/1.00 thf(func_def_147, type, sF137: (($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_148, type, sF138: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > X0))).
% 4.57/1.00 thf(func_def_149, type, sF139: (($i > $i) > ($i > $i) > ($i > $i) > $i)).
% 4.57/1.00 thf(func_def_150, type, sF140: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_151, type, sF141: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > X0))).
% 4.57/1.00 thf(func_def_152, type, sF142: (($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_153, type, sF143: (($i > $i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_154, type, sF144: !>[X0: $tType]:((($i > $i > $i) > (($i > $i) > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_155, type, sF145: !>[X0: $tType]:((($i > $i > $i) > ($i > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_156, type, sF146: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_157, type, sF147: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_158, type, sF148: (($i > $i) > ($i > $i) > ($i > $i) > $i)).
% 4.57/1.00 thf(func_def_159, type, sF149: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_160, type, sF150: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_161, type, sF151: (($i > $i) > ($i > $i) > ($i > $i) > $i)).
% 4.57/1.00 thf(func_def_162, type, sF152: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_163, type, sF153: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_164, type, sF154: (($i > $i) > ($i > $i) > ($i > $i) > $i)).
% 4.57/1.00 thf(func_def_165, type, sF155: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_166, type, sF156: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_167, type, sF157: (($i > $i) > ($i > $i) > ($i > $i) > $i)).
% 4.57/1.00 thf(func_def_168, type, sF158: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_169, type, sF159: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_170, type, sF160: (($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_171, type, sF161: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > X0))).
% 4.57/1.00 thf(func_def_172, type, sF162: !>[X0: $tType]:(((X0 > $i > $i) > $i > X0 > $i > $i))).
% 4.57/1.00 thf(func_def_173, type, sF163: ($i > $i)).
% 4.57/1.00 thf(func_def_174, type, sF164: (($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_175, type, sF165: !>[X0: $tType]:((($i > $i) > ($i > $i) > (($i > $i) > ($i > $i) > X0) > X0))).
% 4.57/1.00 thf(func_def_176, type, sF166: (($i > $i) > ($i > $i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_177, type, sF167: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_178, type, sF168: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_179, type, sF169: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_180, type, sF170: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_181, type, sF171: !>[X0: $tType, X1: $tType]:((($i > $i) > ($i > X1) > (($i > X1) > ($i > $i) > X0) > X0))).
% 4.57/1.00 thf(func_def_182, type, sF172: !>[X0: $tType]:((($i > $i) > ($i > X0) > (X0 > $i > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_183, type, sF173: ((($i > $i) > $i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_184, type, sF174: !>[X0: $tType]:((($i > $i) > ($i > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_185, type, sF175: ((($i > $i) > $i) > ($i > $i) > $i)).
% 4.57/1.00 thf(func_def_186, type, sF176: !>[X0: $tType]:((($i > X0) > (X0 > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_187, type, sF177: !>[X0: $tType, X1: $tType]:((((X0 > X1) > X1) > (X0 > X1) > X1))).
% 4.57/1.00 thf(func_def_188, type, sF178: !>[X0: $tType]:((($i > X0 > $i) > ($i > X0) > $i > $i))).
% 4.57/1.00 thf(func_def_189, type, sF179: !>[X0: $tType, X1: $tType, X2: $tType]:((($i > X0) > (X0 > X2 > $i) > ($i > X2) > ($i > X1) > X1))).
% 4.57/1.00 thf(func_def_190, type, sF180: !>[X0: $tType]:((($i > $i) > ($i > X0) > (($i > X0) > ($i > $i) > X0) > X0))).
% 4.57/1.00 thf(func_def_191, type, sF181: (($i > $i) > (($i > $i) > $i > $i) > ($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_192, type, sF182: !>[X0: $tType, X1: $tType]:(((X1 > $i > $i) > ($i > X1) > ($i > $i) > ($i > X0) > X0))).
% 4.57/1.00 thf(func_def_193, type, sF183: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_194, type, sF184: !>[X0: $tType, X1: $tType]:((($i > X0) > ($i > $i) > (($i > $i) > ($i > X0) > X1) > X1))).
% 4.57/1.00 thf(func_def_195, type, sF185: !>[X0: $tType]:((($i > X0) > ($i > $i) > ($i > X0 > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_196, type, sF186: !>[X0: $tType]:((($i > X0) > (($i > X0) > X0) > X0))).
% 4.57/1.00 thf(func_def_197, type, sF187: (($i > $i > $i) > ($i > ($i > $i) > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_198, type, sF188: !>[X0: $tType, X1: $tType]:((($i > X1 > $i) > ($i > $i) > ($i > X1) > ($i > X0) > X0))).
% 4.57/1.00 thf(func_def_199, type, sF189: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X1) > (X1 > X2) > X2) > (X0 > X1) > (X1 > X2) > X2))).
% 4.57/1.00 thf(func_def_200, type, sF190: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0) > (X0 > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_201, type, sF191: !>[X0: $tType, X1: $tType]:((($i > $i) > (($i > $i) > X0) > (X0 > X1) > X1))).
% 4.57/1.00 thf(func_def_202, type, sF192: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > ($i > $i) > ((X2 > X0) > ($i > $i) > X1) > X1))).
% 4.57/1.00 thf(func_def_203, type, sF193: (($o > $o) > $o)).
% 4.57/1.00 thf(func_def_204, type, sF194: ($o > $o)).
% 4.57/1.00 thf(func_def_205, type, sF195: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((((X0 > X1) > (X2 > X4) > X3) > (X2 > X4) > (X0 > X1) > X3))).
% 4.57/1.00 thf(func_def_206, type, sF196: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > X3) > X4 > (X1 > X2) > (X4 > (X1 > X2) > (X2 > X3) > X0) > X0))).
% 4.57/1.00 thf(func_def_207, type, sF197: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0) > ((X1 > X0) > (X2 > X3) > X3) > (X2 > X3) > X3))).
% 4.57/1.00 thf(func_def_208, type, sF198: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > X3 > X0) > ($i > X4) > ($i > $i) > (($i > X4) > ($i > $i) > (X2 > X3 > X0) > X1) > X1))).
% 4.57/1.00 thf(func_def_209, type, sF199: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > X3 > X0) > ($i > $i) > (X4 > X1) > (($i > $i) > (X4 > X1) > (X2 > X3 > X0) > X1) > X1))).
% 4.57/1.00 thf(func_def_210, type, sF200: !>[X0: $tType, X1: $tType, X2: $tType]:(((($i > X0) > ($i > X1) > X2) > ($i > X0) > ($i > X1) > X2))).
% 4.57/1.00 thf(func_def_211, type, sF201: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > X3 > X0) > ($i > $i) > ($i > X4) > (($i > $i) > ($i > X4) > (X2 > X3 > X0) > X1) > X1))).
% 4.57/1.00 thf(func_def_212, type, sF202: (($i > $i) > (($i > $i) > ($i > $i) > $i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_213, type, sF203: !>[X0: $tType]:((($i > X0) > (($i > X0) > ($i > $i) > $i > $i) > ($i > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_214, type, sF204: !>[X0: $tType, X1: $tType, X2: $tType]:(((($i > $i) > (X0 > X2) > X1) > ($i > $i) > (X0 > X2) > X1))).
% 4.57/1.00 thf(func_def_215, type, sF205: !>[X0: $tType]:((($i > X0) > ($i > X0 > $i) > (($i > X0 > $i) > ($i > X0) > $i > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_216, type, sF206: $o).
% 4.57/1.00 thf(func_def_217, type, sF207: $o).
% 4.57/1.00 thf(func_def_218, type, sF208: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X0) > (X0 > X1) > X1))).
% 4.57/1.00 thf(func_def_219, type, sF209: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X1 > X4) > (X5 > (X1 > X4) > (X2 > X3) > X0) > (X2 > X3) > X5 > X0))).
% 4.57/1.00 thf(func_def_220, type, sF210: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((($i > X0) > (($i > X0) > (X1 > X3) > X2) > (X1 > X3) > X2))).
% 4.57/1.00 thf(func_def_221, type, sF211: !>[X0: $tType, X1: $tType]:((($i > $i) > (X0 > X1) > ((X0 > X1) > ($i > $i) > $i > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_222, type, sF212: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0) > ((X1 > X0) > (X2 > X3) > $i > $i) > (X2 > X3) > $i > $i))).
% 4.57/1.00 thf(func_def_223, type, sF213: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((X2 > X4 > (X0 > X1) > (X4 > (X0 > X1) > X2 > X3) > X3))).
% 4.57/1.00 thf(func_def_224, type, sF214: ((($i > $i) > $o) > $o)).
% 4.57/1.00 thf(func_def_226, type, sF216: !>[X0: $tType, X1: $tType]:(((X1 > $i > $i) > ($i > X1) > $i > (($i > $i) > X0) > X0))).
% 4.57/1.00 thf(func_def_227, type, sF217: !>[X0: $tType]:(($i > ($i > X0) > (X0 > $i > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_228, type, sF218: $o).
% 4.57/1.00 thf(func_def_229, type, sF219: $o).
% 4.57/1.00 thf(func_def_230, type, sF220: $o).
% 4.57/1.00 thf(func_def_231, type, sF221: ($i > (($i > $i) > $i > $i) > ($i > $i) > $i)).
% 4.57/1.00 thf(func_def_232, type, sF222: $o).
% 4.57/1.00 thf(func_def_233, type, sK223: (($i > $i) > $i)).
% 4.57/1.00 thf(func_def_234, type, sK224: (($i > $i) > $i)).
% 4.57/1.00 thf(func_def_235, type, sK225: ($i > $i)).
% 4.57/1.00 thf(func_def_236, type, sF226: ($i > $o)).
% 4.57/1.00 thf(func_def_237, type, db2: !>[X0: $tType]:(X0)).
% 4.57/1.00 thf(func_def_238, type, sF227: (($i > $i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_239, type, sF228: !>[X0: $tType]:((X0 > (X0 > $i) > $i))).
% 4.57/1.00 thf(func_def_240, type, sF229: !>[X0: $tType, X1: $tType]:((X1 > (X1 > $i) > ($i > X0) > X0))).
% 4.57/1.00 thf(func_def_241, type, sF230: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > X0))).
% 4.57/1.00 thf(func_def_242, type, sF231: (($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_243, type, sF232: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > (X0 > $i) > $i))).
% 4.57/1.00 thf(func_def_244, type, sF233: !>[X0: $tType, X1: $tType]:((($i > X0) > (($i > X0) > X0) > (X0 > X1) > X1))).
% 4.57/1.00 thf(func_def_245, type, sF234: (($i > $i) > ($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_246, type, sF235: !>[X0: $tType]:((($i > X0) > (($i > X0) > X0) > (X0 > $i) > $i))).
% 4.57/1.00 thf(func_def_247, type, sF236: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (($i > X1) > X0) > ($i > X1) > X2))).
% 4.57/1.00 thf(func_def_248, type, sF237: !>[X0: $tType]:((($i > X0 > $i) > ($i > X0) > $i > $i))).
% 4.57/1.00 thf(func_def_249, type, sF238: ($i > $i > $i > $i)).
% 4.57/1.00 thf(func_def_250, type, sF239: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0) > ((X1 > X0) > ($i > X2) > X3) > ($i > X2) > X3))).
% 4.57/1.00 thf(func_def_251, type, sF240: !>[X0: $tType]:(((X0 > $i) > ((X0 > $i) > $i) > $i))).
% 4.57/1.00 thf(func_def_252, type, sF241: !>[X0: $tType]:((X0 > (X0 > $i) > $i > $i))).
% 4.57/1.00 thf(func_def_253, type, sF242: !>[X0: $tType, X1: $tType]:(((X0 > $i) > X0 > (($i > $i) > $i) > ($i > X1) > X1))).
% 4.57/1.00 thf(func_def_254, type, sF243: (($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_255, type, sF244: !>[X0: $tType, X1: $tType]:((($i > X1) > (($i > X1) > X0) > (X0 > $i) > $i))).
% 4.57/1.00 thf(func_def_257, type, sF246: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X1) > (X1 > $i) > X2) > (X0 > X1) > (X1 > $i) > X2))).
% 4.57/1.00 thf(func_def_258, type, sF247: !>[X0: $tType, X1: $tType]:(((X0 > $i) > X0 > (X0 > (X0 > $i) > X1) > X1))).
% 4.57/1.00 thf(func_def_260, type, sF249: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > (X0 > (X1 > X3) > X2) > (X1 > X3) > X2))).
% 4.57/1.00 thf(func_def_261, type, sF250: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > (X1 > $i) > X2) > X0 > (X1 > $i) > X2))).
% 4.57/1.00 thf(func_def_262, type, sF251: !>[X0: $tType, X1: $tType]:((((X0 > $i) > X1) > (X0 > $i) > X1))).
% 4.57/1.00 thf(func_def_263, type, sK252: (($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_264, type, sF253: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_265, type, sF254: (($i > $i) > ($i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_266, type, sF255: !>[X0: $tType, X1: $tType]:((X0 > ($i > X1) > (($i > X1) > X0 > $i > X1) > $i > X1))).
% 4.57/1.00 thf(func_def_267, type, sK256: ($i > $i)).
% 4.57/1.00 thf(func_def_268, type, sK257: ($i > $i)).
% 4.57/1.00 thf(func_def_269, type, sK258: ($i > $i)).
% 4.57/1.00 thf(func_def_270, type, sK259: (($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_271, type, sF260: !>[X0: $tType]:(((($i > $i) > $i > $i) > (($i > $i) > X0) > ($i > $i) > X0))).
% 4.57/1.00 thf(func_def_272, type, sF261: !>[X0: $tType, X1: $tType]:((X1 > (X1 > $i > $i) > (($i > $i) > X0) > X0))).
% 4.57/1.00 thf(func_def_273, type, sF262: !>[X0: $tType]:((($i > $i) > (($i > $i) > X0) > X0))).
% 4.57/1.00 thf(func_def_274, type, sK263: ($i > $i)).
% 4.57/1.00 thf(func_def_275, type, sK264: (($i > $i) > $i)).
% 4.57/1.00 thf(func_def_276, type, sF265: (($i > $i > $i) > $i > $i)).
% 4.57/1.00 thf(func_def_277, type, sF266: !>[X0: $tType]:((($i > $i) > ($i > X0) > X0))).
% 4.57/1.00 thf(func_def_278, type, sF267: (($i > $i) > $i)).
% 4.57/1.00 thf(f1,conjecture,(
% 4.57/1.00 ! [X0 : $i,X1 : ($i > $o)] : ((X1 @ (cM @ X0)) <=> (X1 @ (cN @ X0))) => ! [X2 : (($i > $i) > $o)] : ((X2 @ cM) <=> (X2 @ cN))),
% 4.57/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEXT_A_LEIB2)).
% 4.57/1.00 thf(f2,negated_conjecture,(
% 4.57/1.00 ~(! [X0 : $i,X1 : ($i > $o)] : ((X1 @ (cM @ X0)) <=> (X1 @ (cN @ X0))) => ! [X2 : (($i > $i) > $o)] : ((X2 @ cM) <=> (X2 @ cN)))),
% 4.57/1.00 inference(negated_conjecture,[status(cth)],[f1])).
% 4.57/1.00 thf(f3,plain,(
% 4.57/1.00 ~(! [X0 : $i,X1 : ($i > $o)] : ((X1 @ (cM @ X0)) <=> (X1 @ (cN @ X0))) => ! [X2 : (($i > $i) > $o)] : ((X2 @ cM) <=> (X2 @ cN)))),
% 4.57/1.00 inference(rectify,[],[f2])).
% 4.57/1.00 thf(f4,plain,(
% 4.57/1.00 ~(! [X0 : $i,X1 : ($i > $o)] : (((X1 @ (cM @ X0))) = ((X1 @ (cN @ X0)))) => ! [X2 : (($i > $i) > $o)] : (((X2 @ cM)) = ((X2 @ cN))))),
% 4.57/1.00 inference(fool_elimination,[],[f3])).
% 4.57/1.00 thf(f5,plain,(
% 4.57/1.00 ? [X2 : (($i > $i) > $o)] : (((X2 @ cM)) != ((X2 @ cN))) & ! [X0 : $i,X1 : ($i > $o)] : (((X1 @ (cM @ X0))) = ((X1 @ (cN @ X0))))),
% 4.57/1.00 inference(ennf_transformation,[],[f4])).
% 4.57/1.00 thf(f6,plain,(
% 4.57/1.00 ? [X0 : (($i > $i) > $o)] : (((X0 @ cM)) != ((X0 @ cN))) & ! [X1 : $i,X2 : ($i > $o)] : (((X2 @ (cM @ X1))) = ((X2 @ (cN @ X1))))),
% 4.57/1.00 inference(rectify,[],[f5])).
% 4.57/1.00 thf(f7,plain,(
% 4.57/1.00 (((sK0 @ cM)) != ((sK0 @ cN))) & ! [X1 : $i,X2 : ($i > $o)] : (((X2 @ (cM @ X1))) = ((X2 @ (cN @ X1))))),
% 4.57/1.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f6])).
% 4.57/1.00 thf(f8,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $o),X1 : $i] : ((((X2 @ (cM @ X1))) = ((X2 @ (cN @ X1))))) )),
% 4.57/1.00 inference(cnf_transformation,[],[f7])).
% 4.57/1.00 thf(f9,plain,(
% 4.57/1.00 (((sK0 @ cM)) != ((sK0 @ cN)))),
% 4.57/1.00 inference(cnf_transformation,[],[f7])).
% 4.57/1.00 thf(f11,definition,(
% 4.57/1.00 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 4.57/1.00 introduced(theory,[fool_exhaustiveness_axiom])).
% 4.57/1.00 thf(f12,definition,(
% 4.57/1.00 ($false = ((sP1 @ (sK0 @ cM))))),
% 4.57/1.00 introduced(definition,[new_symbols(definition,[sP1])],[inequality_splitting_name_introduction])).
% 4.57/1.00 thf(f13,plain,(
% 4.57/1.00 ($true = ((sP1 @ (sK0 @ cN))))),
% 4.57/1.00 inference(inequality_splitting,[],[f9,f12])).
% 4.57/1.00 thf(f14,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $o),X1 : $i] : ((((X2 @ (cM @ X1))) = $true) | (((X2 @ (cN @ X1))) = $false)) )),
% 4.57/1.00 inference(iff_proxy_clausification,[],[f8])).
% 4.57/1.00 thf(f15,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $o),X1 : $i] : ((((X2 @ (cM @ X1))) = $false) | (((X2 @ (cN @ X1))) = $true)) )),
% 4.57/1.00 inference(iff_proxy_clausification,[],[f8])).
% 4.57/1.00 thf(f25,plain,(
% 4.57/1.00 ($true = ((sP1 @ $true))) | (((sK0 @ cN)) = $false)),
% 4.57/1.00 inference(constrained_superposition,[],[f13,f11])).
% 4.57/1.00 thf(f34,definition,(
% 4.57/1.00 spl4_1 <=> (((sK0 @ cN)) = $false)),
% 4.57/1.00 introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition])).
% 4.57/1.00 thf(f35,plain,(
% 4.57/1.00 (((sK0 @ cN)) != $false) | spl4_1),
% 4.57/1.00 inference(avatar_component_clause,[],[f34])).
% 4.57/1.00 thf(f36,plain,(
% 4.57/1.00 (((sK0 @ cN)) = $false) | ~spl4_1),
% 4.57/1.00 inference(avatar_component_clause,[],[f34])).
% 4.57/1.00 thf(f38,definition,(
% 4.57/1.00 spl4_2 <=> ($true = ((sP1 @ $true)))),
% 4.57/1.00 introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition])).
% 4.57/1.00 thf(f40,plain,(
% 4.57/1.00 ($true = ((sP1 @ $true))) | ~spl4_2),
% 4.57/1.00 inference(avatar_component_clause,[],[f38])).
% 4.57/1.00 thf(f41,plain,(
% 4.57/1.00 spl4_1 | spl4_2),
% 4.57/1.00 inference(avatar_split_clause,[],[f25,f38,f34])).
% 4.57/1.00 thf(f43,definition,(
% 4.57/1.00 spl4_3 <=> (((sK0 @ cM)) = $false)),
% 4.57/1.00 introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition])).
% 4.57/1.00 thf(f45,plain,(
% 4.57/1.00 (((sK0 @ cM)) = $false) | ~spl4_3),
% 4.57/1.00 inference(avatar_component_clause,[],[f43])).
% 4.57/1.00 thf(f56,definition,(
% 4.57/1.00 ( ! [X0 : $o] : ((((sF6 @ X0)) = ((sP1 @ X0)))) )),
% 4.57/1.00 introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
% 4.57/1.00 thf(f57,plain,(
% 4.57/1.00 ( ! [X0 : $o] : ((((sP1 @ X0)) = ((sF6 @ X0)))) )),
% 4.57/1.00 inference(reorient_equations,[],[f56])).
% 4.57/1.00 thf(f59,plain,(
% 4.57/1.00 ($true = ((sP1 @ $false))) | ~spl4_1),
% 4.57/1.00 inference(constrained_superposition,[],[f13,f36])).
% 4.57/1.00 thf(f60,plain,(
% 4.57/1.00 ( ! [X0 : $o] : (($false = ((sF6 @ X0))) | ($true = ((sP1 @ X0)))) )),
% 4.57/1.00 inference(iff_proxy_clausification,[],[f57])).
% 4.57/1.00 thf(f61,plain,(
% 4.57/1.00 ( ! [X0 : $o] : (($true = ((sF6 @ X0))) | ($false = ((sP1 @ X0)))) )),
% 4.57/1.00 inference(iff_proxy_clausification,[],[f57])).
% 4.57/1.00 thf(f74,plain,(
% 4.57/1.00 ( ! [X0 : $i] : ((((cM @ X0)) = ((cN @ X0)))) )),
% 4.57/1.00 inference(leibniz_equality_elimination,[],[f14])).
% 4.57/1.00 thf(f165,plain,(
% 4.57/1.00 ( ! [X0 : $i,X1 : ($i > $i > $i)] : (($false = ((sP1 @ $false))) | ($true = (((^[Y0 : $i]: (sK0 @ ((^[Y1 : $i]: ((^[Y2 : $i]: (cM @ (X1 @ Y1 @ Y2))))) @ Y0))) @ (cN @ X0)))) | ((^[Y0 : $i]: (Y0)) != ((X1 @ (cM @ X0))))) )),
% 4.57/1.00 inference(constrained_superposition,[],[f12,f15])).
% 4.57/1.00 thf(f192,plain,(
% 4.57/1.00 ( ! [X0 : $i,X1 : ($i > $i > $i)] : (($false = ((sP1 @ $false))) | ($true = ((sK0 @ (^[Y0 : $i]: (cM @ (X1 @ (cN @ X0) @ Y0)))))) | ((^[Y0 : $i]: (Y0)) != ((X1 @ (cM @ X0))))) )),
% 4.57/1.00 inference(beta-eta_normalization,[],[f165])).
% 4.57/1.00 thf(f212,plain,(
% 4.57/1.00 ( ! [X0 : $i,X1 : ($i > $i > $i)] : (($true = $false) | ($true = ((sK0 @ (^[Y0 : $i]: (cM @ (X1 @ (cN @ X0) @ Y0)))))) | ((^[Y0 : $i]: (Y0)) != ((X1 @ (cM @ X0))))) ) | ~spl4_1),
% 4.57/1.00 inference(forward_demodulation,[],[f192,f59])).
% 4.57/1.00 thf(f213,plain,(
% 4.57/1.00 ( ! [X0 : $i,X1 : ($i > $i > $i)] : (($true = ((sK0 @ (^[Y0 : $i]: (cM @ (X1 @ (cN @ X0) @ Y0)))))) | ((^[Y0 : $i]: (Y0)) != ((X1 @ (cM @ X0))))) ) | ~spl4_1),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f212])).
% 4.57/1.00 thf(f220,plain,(
% 4.57/1.00 ( ! [X0 : $i,X1 : ($i > $i > $i)] : (((^[Y0 : $i]: (Y0)) != ((X1 @ (cN @ X0)))) | ($true = ((sK0 @ (^[Y0 : $i]: (cM @ (X1 @ (cN @ X0) @ Y0))))))) ) | ~spl4_1),
% 4.57/1.00 inference(forward_demodulation,[],[f213,f74])).
% 4.57/1.00 thf(f267,plain,(
% 4.57/1.00 ( ! [X2 : $i,X0 : $o,X1 : ($i > $o)] : (($true = $false) | ($true = ((sP1 @ X0))) | ($false = (((^[Y0 : $i]: (sF6 @ (X1 @ Y0))) @ (cN @ X2)))) | (((X1 @ (cM @ X2))) != X0)) )),
% 4.57/1.00 inference(constrained_superposition,[],[f60,f14])).
% 4.57/1.00 thf(f277,plain,(
% 4.57/1.00 ( ! [X2 : $i,X0 : $o,X1 : ($i > $o)] : (($true = $false) | ($true = ((sP1 @ X0))) | ($false = (((^[Y0 : $i]: (sF6 @ (X1 @ Y0))) @ (cN @ X2)))) | ($true = ((X1 @ (cM @ X2)))) | ($true = X0)) )),
% 4.57/1.00 inference(xor_proxy_clausification,[],[f267])).
% 4.57/1.00 thf(f278,plain,(
% 4.57/1.00 ( ! [X2 : $i,X0 : $o,X1 : ($i > $o)] : (($true = $false) | ($true = ((sP1 @ X0))) | ($false = (((^[Y0 : $i]: (sF6 @ (X1 @ Y0))) @ (cN @ X2)))) | ($false = ((X1 @ (cM @ X2)))) | ($false = X0)) )),
% 4.57/1.00 inference(xor_proxy_clausification,[],[f267])).
% 4.57/1.00 thf(f279,plain,(
% 4.57/1.00 ( ! [X2 : $i,X0 : $o,X1 : ($i > $o)] : (($true = ((sP1 @ X0))) | ($false = (((^[Y0 : $i]: (sF6 @ (X1 @ Y0))) @ (cN @ X2)))) | ($false = ((X1 @ (cM @ X2)))) | ($false = X0)) )),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f278])).
% 4.57/1.00 thf(f280,plain,(
% 4.57/1.00 ( ! [X2 : $i,X0 : $o,X1 : ($i > $o)] : (($true = ((sP1 @ X0))) | ($false = ((sF6 @ (X1 @ (cN @ X2))))) | ($false = ((X1 @ (cM @ X2)))) | ($false = X0)) )),
% 4.57/1.00 inference(beta-eta_normalization,[],[f279])).
% 4.57/1.00 thf(f281,plain,(
% 4.57/1.00 ( ! [X2 : $i,X0 : $o,X1 : ($i > $o)] : (($true = ((sP1 @ X0))) | ($false = (((^[Y0 : $i]: (sF6 @ (X1 @ Y0))) @ (cN @ X2)))) | ($true = ((X1 @ (cM @ X2)))) | ($true = X0)) )),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f277])).
% 4.57/1.00 thf(f282,plain,(
% 4.57/1.00 ( ! [X2 : $i,X0 : $o,X1 : ($i > $o)] : (($true = ((sP1 @ X0))) | ($false = ((sF6 @ (X1 @ (cN @ X2))))) | ($true = ((X1 @ (cM @ X2)))) | ($true = X0)) )),
% 4.57/1.00 inference(beta-eta_normalization,[],[f281])).
% 4.57/1.00 thf(f285,plain,(
% 4.57/1.00 ( ! [X2 : $i,X0 : $o,X1 : ($i > $o)] : (($false = ((X1 @ (cN @ X2)))) | ($true = ((sP1 @ X0))) | ($false = ((sF6 @ (X1 @ (cN @ X2))))) | ($false = X0)) )),
% 4.57/1.00 inference(forward_demodulation,[],[f280,f74])).
% 4.57/1.00 thf(f286,plain,(
% 4.57/1.00 ( ! [X2 : $i,X0 : $o,X1 : ($i > $o)] : (($true = ((X1 @ (cN @ X2)))) | ($true = ((sP1 @ X0))) | ($false = ((sF6 @ (X1 @ (cN @ X2))))) | ($true = X0)) )),
% 4.57/1.00 inference(forward_demodulation,[],[f282,f74])).
% 4.57/1.00 thf(f288,definition,(
% 4.57/1.00 spl4_7 <=> ! [X2 : $o] : (($true = ((sP1 @ X2))) | ($false = X2))),
% 4.57/1.00 introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition])).
% 4.57/1.00 thf(f289,plain,(
% 4.57/1.00 ( ! [X2 : $o] : (($true = ((sP1 @ X2))) | ($false = X2)) ) | ~spl4_7),
% 4.57/1.00 inference(avatar_component_clause,[],[f288])).
% 4.57/1.00 thf(f291,definition,(
% 4.57/1.00 spl4_8 <=> ! [X0 : ($i > $o),X1 : $i] : (($false = ((X0 @ (cN @ X1)))) | ($false = ((sF6 @ (X0 @ (cN @ X1))))))),
% 4.57/1.00 introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition])).
% 4.57/1.00 thf(f292,plain,(
% 4.57/1.00 ( ! [X0 : ($i > $o),X1 : $i] : (($false = ((X0 @ (cN @ X1)))) | ($false = ((sF6 @ (X0 @ (cN @ X1)))))) ) | ~spl4_8),
% 4.57/1.00 inference(avatar_component_clause,[],[f291])).
% 4.57/1.00 thf(f295,definition,(
% 4.57/1.00 spl4_9 <=> ! [X2 : $o] : (($true = ((sP1 @ X2))) | ($true = X2))),
% 4.57/1.00 introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition])).
% 4.57/1.00 thf(f296,plain,(
% 4.57/1.00 ( ! [X2 : $o] : (($true = ((sP1 @ X2))) | ($true = X2)) ) | ~spl4_9),
% 4.57/1.00 inference(avatar_component_clause,[],[f295])).
% 4.57/1.00 thf(f298,definition,(
% 4.57/1.00 spl4_10 <=> ! [X0 : ($i > $o),X1 : $i] : (($true = ((X0 @ (cN @ X1)))) | ($false = ((sF6 @ (X0 @ (cN @ X1))))))),
% 4.57/1.00 introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition])).
% 4.57/1.00 thf(f299,plain,(
% 4.57/1.00 ( ! [X0 : ($i > $o),X1 : $i] : (($true = ((X0 @ (cN @ X1)))) | ($false = ((sF6 @ (X0 @ (cN @ X1)))))) ) | ~spl4_10),
% 4.57/1.00 inference(avatar_component_clause,[],[f298])).
% 4.57/1.00 thf(f301,plain,(
% 4.57/1.00 spl4_7 | spl4_8),
% 4.57/1.00 inference(avatar_split_clause,[],[f285,f291,f288])).
% 4.57/1.00 thf(f302,plain,(
% 4.57/1.00 spl4_9 | spl4_10),
% 4.57/1.00 inference(avatar_split_clause,[],[f286,f298,f295])).
% 4.57/1.00 thf(f308,plain,(
% 4.57/1.00 ($true = $false) | (((sK0 @ cM)) = $false) | ~spl4_7),
% 4.57/1.00 inference(constrained_superposition,[],[f12,f289])).
% 4.57/1.00 thf(f321,plain,(
% 4.57/1.00 (((sK0 @ cM)) = $false) | ~spl4_7),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f308])).
% 4.57/1.00 thf(f338,plain,(
% 4.57/1.00 spl4_3 | ~spl4_7),
% 4.57/1.00 inference(avatar_split_clause,[],[f321,f288,f43])).
% 4.57/1.00 thf(f341,plain,(
% 4.57/1.00 ( ! [X0 : ($i > $o),X1 : $i] : (($true = $false) | ($false = ((sF6 @ (X0 @ (cN @ X1)))))) ) | (~spl4_8 | ~spl4_10)),
% 4.57/1.00 inference(backward_subsumption_demodulation,[],[f299,f292])).
% 4.57/1.00 thf(f344,plain,(
% 4.57/1.00 ( ! [X0 : ($i > $o),X1 : $i] : (($false = ((sF6 @ (X0 @ (cN @ X1)))))) ) | (~spl4_8 | ~spl4_10)),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f341])).
% 4.57/1.00 thf(f351,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $o),X3 : $i,X0 : ($i > $o),X1 : $i] : (($false = ((sF6 @ $false))) | (((X0 @ (cN @ X1))) != ((X2 @ (cN @ X3))))) ) | (~spl4_8 | ~spl4_10)),
% 4.57/1.00 inference(constrained_superposition,[],[f344,f344])).
% 4.57/1.00 thf(f405,definition,(
% 4.57/1.00 spl4_14 <=> ($false = ((sF6 @ $false)))),
% 4.57/1.00 introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition])).
% 4.57/1.00 thf(f407,plain,(
% 4.57/1.00 ($false = ((sF6 @ $false))) | ~spl4_14),
% 4.57/1.00 inference(avatar_component_clause,[],[f405])).
% 4.57/1.00 thf(f415,definition,(
% 4.57/1.00 spl4_16 <=> ! [X2 : ($i > $o),X3 : $i] : ($true = ((X2 @ (cN @ X3))))),
% 4.57/1.00 introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition])).
% 4.57/1.00 thf(f416,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $o),X3 : $i] : (($true = ((X2 @ (cN @ X3))))) ) | ~spl4_16),
% 4.57/1.00 inference(avatar_component_clause,[],[f415])).
% 4.57/1.00 thf(f489,plain,(
% 4.57/1.00 ($true = $false) | ($false = ((sP1 @ $false))) | ~spl4_14),
% 4.57/1.00 inference(constrained_superposition,[],[f407,f61])).
% 4.57/1.00 thf(f502,plain,(
% 4.57/1.00 ($false = ((sP1 @ $false))) | ~spl4_14),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f489])).
% 4.57/1.00 thf(f528,plain,(
% 4.57/1.00 ($true = $false) | (~spl4_1 | ~spl4_14)),
% 4.57/1.00 inference(constrained_superposition,[],[f502,f59])).
% 4.57/1.00 thf(f541,plain,(
% 4.57/1.00 $false | (~spl4_1 | ~spl4_14)),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f528])).
% 4.57/1.00 thf(f542,plain,(
% 4.57/1.00 ~spl4_1 | ~spl4_14),
% 4.57/1.00 inference(avatar_contradiction_clause,[],[f541])).
% 4.57/1.00 thf(f578,plain,(
% 4.57/1.00 ($true = $false) | (((sK0 @ cM)) = $true) | ~spl4_9),
% 4.57/1.00 inference(constrained_superposition,[],[f12,f296])).
% 4.57/1.00 thf(f587,plain,(
% 4.57/1.00 (((sK0 @ cM)) = $true) | ~spl4_9),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f578])).
% 4.57/1.00 thf(f646,plain,(
% 4.57/1.00 ( ! [X3 : $i] : (($true = (((^[Y0 : $i]: ($false)) @ (cN @ X3))))) ) | ~spl4_16),
% 4.57/1.00 inference(primitive_instantiation,[],[f416])).
% 4.57/1.00 thf(f723,plain,(
% 4.57/1.00 ($true = $false) | ~spl4_16),
% 4.57/1.00 inference(beta-eta_normalization,[],[f646])).
% 4.57/1.00 thf(f724,plain,(
% 4.57/1.00 $false | ~spl4_16),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f723])).
% 4.57/1.00 thf(f725,plain,(
% 4.57/1.00 ~spl4_16),
% 4.57/1.00 inference(avatar_contradiction_clause,[],[f724])).
% 4.57/1.00 thf(f4305,plain,(
% 4.57/1.00 ( ! [X0 : $i] : (($true = ((sK0 @ (^[Y0 : $i]: (cM @ ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))) @ (cN @ X0) @ Y0))))))) ) | ~spl4_1),
% 4.57/1.00 inference(equality_resolution,[],[f220])).
% 4.57/1.00 thf(f4312,plain,(
% 4.57/1.00 (((sK0 @ cM)) = $true) | ~spl4_1),
% 4.57/1.00 inference(beta-eta_normalization,[],[f4305])).
% 4.57/1.00 thf(f4418,definition,(
% 4.57/1.00 ( ! [X0 : ($i > $i)] : ((((sF83 @ X0)) = ((sK0 @ X0)))) )),
% 4.57/1.00 introduced(definition,[new_symbols(definition,[sF83])],[function_definition])).
% 4.57/1.00 thf(f4419,plain,(
% 4.57/1.00 ( ! [X0 : ($i > $i)] : ((((sK0 @ X0)) = ((sF83 @ X0)))) )),
% 4.57/1.00 inference(reorient_equations,[],[f4418])).
% 4.57/1.00 thf(f4424,plain,(
% 4.57/1.00 ( ! [X0 : ($i > $i)] : (($false = ((sF83 @ X0))) | ($true = ((sK0 @ X0)))) )),
% 4.57/1.00 inference(iff_proxy_clausification,[],[f4419])).
% 4.57/1.00 thf(f4425,plain,(
% 4.57/1.00 ( ! [X0 : ($i > $i)] : (($true = ((sF83 @ X0))) | ($false = ((sK0 @ X0)))) )),
% 4.57/1.00 inference(iff_proxy_clausification,[],[f4419])).
% 4.57/1.00 thf(f4544,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $i),X0 : ($i > $i > $i),X1 : $i] : (($true = $false) | ($false = (((^[Y0 : $i]: (sF83 @ (X0 @ Y0))) @ (cN @ X1)))) | ($true = ((sK0 @ X2))) | (((X0 @ (cM @ X1))) != X2)) )),
% 4.57/1.00 inference(constrained_superposition,[],[f14,f4424])).
% 4.57/1.00 thf(f4545,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $i),X0 : ($i > $i > $i),X1 : $i] : (($false = (((^[Y0 : $i]: (sF83 @ (X0 @ Y0))) @ (cN @ X1)))) | ($true = ((sK0 @ X2))) | (((X0 @ (cM @ X1))) != X2)) )),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f4544])).
% 4.57/1.00 thf(f4546,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $i),X0 : ($i > $i > $i),X1 : $i] : (($false = ((sF83 @ (X0 @ (cN @ X1))))) | ($true = ((sK0 @ X2))) | (((X0 @ (cM @ X1))) != X2)) )),
% 4.57/1.00 inference(beta-eta_normalization,[],[f4545])).
% 4.57/1.00 thf(f4550,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $i),X0 : ($i > $i > $i),X1 : $i] : (($false = ((sF83 @ (X0 @ (cN @ X1))))) | ($true = ((sK0 @ X2))) | (((X0 @ (cN @ X1))) != X2)) )),
% 4.57/1.00 inference(forward_demodulation,[],[f4546,f74])).
% 4.57/1.00 thf(f4624,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $i),X0 : ($i > $i > $i),X1 : $i] : (($true = $false) | ($true = ((sK0 @ X2))) | (((X0 @ (cN @ X1))) != X2) | ($false = ((sK0 @ (X0 @ (cN @ X1)))))) )),
% 4.57/1.00 inference(constrained_superposition,[],[f4550,f4425])).
% 4.57/1.00 thf(f4626,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $i),X0 : ($i > $i > $i),X1 : $i] : (($true = $false) | ($true = (((^[Y0 : $i]: (sF83 @ (X0 @ Y0))) @ (cN @ X1)))) | ($false = ((sK0 @ X2))) | (((X0 @ (cM @ X1))) != X2)) )),
% 4.57/1.00 inference(constrained_superposition,[],[f15,f4425])).
% 4.57/1.00 thf(f4627,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $i),X0 : ($i > $i > $i),X1 : $i] : (($true = (((^[Y0 : $i]: (sF83 @ (X0 @ Y0))) @ (cN @ X1)))) | ($false = ((sK0 @ X2))) | (((X0 @ (cM @ X1))) != X2)) )),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f4626])).
% 4.57/1.00 thf(f4628,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $i),X0 : ($i > $i > $i),X1 : $i] : (($true = ((sF83 @ (X0 @ (cN @ X1))))) | ($false = ((sK0 @ X2))) | (((X0 @ (cM @ X1))) != X2)) )),
% 4.57/1.00 inference(beta-eta_normalization,[],[f4627])).
% 4.57/1.00 thf(f4630,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $i),X0 : ($i > $i > $i),X1 : $i] : (($true = ((sK0 @ X2))) | ($false = ((sK0 @ (X0 @ (cN @ X1))))) | (((X0 @ (cN @ X1))) != X2)) )),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f4624])).
% 4.57/1.00 thf(f4637,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $i),X0 : ($i > $i > $i),X1 : $i] : (($true = ((sF83 @ (X0 @ (cN @ X1))))) | ($false = ((sK0 @ X2))) | (((X0 @ (cN @ X1))) != X2)) )),
% 4.57/1.00 inference(forward_demodulation,[],[f4628,f74])).
% 4.57/1.00 thf(f4659,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $i),X0 : ($i > $i > $i),X1 : $i] : (($true = $false) | ($true = ((sK0 @ (X0 @ (cN @ X1))))) | ($false = ((sK0 @ X2))) | (((X0 @ (cN @ X1))) != X2)) )),
% 4.57/1.00 inference(constrained_superposition,[],[f4424,f4637])).
% 4.57/1.00 thf(f4674,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $i),X0 : ($i > $i > $i),X1 : $i] : (($true = ((sK0 @ (X0 @ (cN @ X1))))) | ($false = ((sK0 @ X2))) | (((X0 @ (cN @ X1))) != X2)) )),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f4659])).
% 4.57/1.00 thf(f4717,plain,(
% 4.57/1.00 ( ! [X0 : $i,X1 : ($i > $i)] : (($true = $false) | ($true = ((sK0 @ X1))) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (cM @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ (cN @ X0))) != X1)) ) | ~spl4_9),
% 4.57/1.00 inference(constrained_superposition,[],[f587,f4630])).
% 4.57/1.00 thf(f4725,plain,(
% 4.57/1.00 ( ! [X0 : $i,X1 : ($i > $i)] : (($true = ((sK0 @ X1))) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (cM @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ (cN @ X0))) != X1)) ) | ~spl4_9),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f4717])).
% 4.57/1.00 thf(f4726,plain,(
% 4.57/1.00 ( ! [X1 : ($i > $i)] : ((cM != X1) | ($true = ((sK0 @ X1)))) ) | ~spl4_9),
% 4.57/1.00 inference(beta-eta_normalization,[],[f4725])).
% 4.57/1.00 thf(f4760,plain,(
% 4.57/1.00 ( ! [X1 : ($i > $i)] : ((((cM @ (sK113 @ X1))) != ((X1 @ (sK113 @ X1)))) | ($true = ((sK0 @ X1)))) ) | ~spl4_9),
% 4.57/1.00 inference(negative_extensionality,[],[f4726])).
% 4.57/1.00 thf(f4762,plain,(
% 4.57/1.00 ( ! [X1 : ($i > $i)] : ((((X1 @ (sK113 @ X1))) != ((cN @ (sK113 @ X1)))) | ($true = ((sK0 @ X1)))) ) | ~spl4_9),
% 4.57/1.00 inference(forward_demodulation,[],[f4760,f74])).
% 4.57/1.00 thf(f4778,plain,(
% 4.57/1.00 ($true = ((sK0 @ (^[Y0 : $i]: (cN @ ((^[Y1 : $i]: (Y1)) @ Y0)))))) | (cN != (^[Y0 : $i]: (cN @ ((^[Y1 : $i]: (Y1)) @ Y0)))) | ~spl4_9),
% 4.57/1.00 inference(equality_resolution,[],[f4762])).
% 4.57/1.00 thf(f4781,plain,(
% 4.57/1.00 (((sK0 @ cN)) = $true) | (cN != cN) | ~spl4_9),
% 4.57/1.00 inference(beta-eta_normalization,[],[f4778])).
% 4.57/1.00 thf(f4782,plain,(
% 4.57/1.00 (((sK0 @ cN)) = $true) | ~spl4_9),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f4781])).
% 4.57/1.00 thf(f4785,plain,(
% 4.57/1.00 ($true = $false) | (~spl4_1 | ~spl4_9)),
% 4.57/1.00 inference(forward_demodulation,[],[f4782,f36])).
% 4.57/1.00 thf(f4786,plain,(
% 4.57/1.00 $false | (~spl4_1 | ~spl4_9)),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f4785])).
% 4.57/1.00 thf(f4787,plain,(
% 4.57/1.00 ~spl4_1 | ~spl4_9),
% 4.57/1.00 inference(avatar_contradiction_clause,[],[f4786])).
% 4.57/1.00 thf(f4883,plain,(
% 4.57/1.00 ($true = $false) | (~spl4_1 | ~spl4_3)),
% 4.57/1.00 inference(forward_demodulation,[],[f4312,f45])).
% 4.57/1.00 thf(f4884,plain,(
% 4.57/1.00 $false | (~spl4_1 | ~spl4_3)),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f4883])).
% 4.57/1.00 thf(f4885,plain,(
% 4.57/1.00 ~spl4_1 | ~spl4_3),
% 4.57/1.00 inference(avatar_contradiction_clause,[],[f4884])).
% 4.57/1.00 thf(f4959,plain,(
% 4.57/1.00 ( ! [X2 : ($i > $o),X3 : $i,X0 : ($i > $o),X1 : $i] : (($false = ((sF6 @ $false))) | ($true = ((X0 @ (cN @ X1)))) | ($true = ((X2 @ (cN @ X3))))) ) | (~spl4_8 | ~spl4_10)),
% 4.57/1.00 inference(xor_proxy_clausification,[],[f351])).
% 4.57/1.00 thf(f5512,plain,(
% 4.57/1.00 spl4_16 | spl4_16 | spl4_14 | ~spl4_8 | ~spl4_10),
% 4.57/1.00 inference(avatar_split_clause,[],[f4959,f298,f291,f405,f415,f415])).
% 4.57/1.00 thf(f5647,plain,(
% 4.57/1.00 ( ! [X0 : $o] : ((((sP1 @ X0)) = X0) | ($false = X0)) ) | ~spl4_2),
% 4.57/1.00 inference(constrained_superposition,[],[f40,f11])).
% 4.57/1.00 thf(f5658,plain,(
% 4.57/1.00 ( ! [X0 : $o] : (($true = ((sP1 @ X0))) | ($false = X0) | ($false = X0)) ) | ~spl4_2),
% 4.57/1.00 inference(iff_proxy_clausification,[],[f5647])).
% 4.57/1.00 thf(f5660,plain,(
% 4.57/1.00 ( ! [X0 : $o] : (($true = ((sP1 @ X0))) | ($false = X0)) ) | ~spl4_2),
% 4.57/1.00 inference(duplicate_literal_removal,[],[f5658])).
% 4.57/1.00 thf(f5684,plain,(
% 4.57/1.00 spl4_7 | ~spl4_2),
% 4.57/1.00 inference(avatar_split_clause,[],[f5660,f38,f288])).
% 4.57/1.00 thf(f8712,plain,(
% 4.57/1.00 ( ! [X0 : $i,X1 : ($i > $i)] : (($true = $false) | ($false = ((sK0 @ X1))) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (cM @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ (cN @ X0))) != X1)) ) | ~spl4_3),
% 4.57/1.00 inference(constrained_superposition,[],[f45,f4674])).
% 4.57/1.00 thf(f8736,plain,(
% 4.57/1.00 ( ! [X0 : $i,X1 : ($i > $i)] : (($false = ((sK0 @ X1))) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (cM @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ (cN @ X0))) != X1)) ) | ~spl4_3),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f8712])).
% 4.57/1.00 thf(f8737,plain,(
% 4.57/1.00 ( ! [X1 : ($i > $i)] : ((cM != X1) | ($false = ((sK0 @ X1)))) ) | ~spl4_3),
% 4.57/1.00 inference(beta-eta_normalization,[],[f8736])).
% 4.57/1.00 thf(f8773,plain,(
% 4.57/1.00 ( ! [X1 : ($i > $i)] : ((((cM @ (sK264 @ X1))) != ((X1 @ (sK264 @ X1)))) | ($false = ((sK0 @ X1)))) ) | ~spl4_3),
% 4.57/1.00 inference(negative_extensionality,[],[f8737])).
% 4.57/1.00 thf(f8775,plain,(
% 4.57/1.00 ( ! [X1 : ($i > $i)] : ((((X1 @ (sK264 @ X1))) != ((cN @ (sK264 @ X1)))) | ($false = ((sK0 @ X1)))) ) | ~spl4_3),
% 4.57/1.00 inference(forward_demodulation,[],[f8773,f74])).
% 4.57/1.00 thf(f8793,plain,(
% 4.57/1.00 ($false = ((sK0 @ (^[Y0 : $i]: (cN @ ((^[Y1 : $i]: (Y1)) @ Y0)))))) | (cN != (^[Y0 : $i]: (cN @ ((^[Y1 : $i]: (Y1)) @ Y0)))) | ~spl4_3),
% 4.57/1.00 inference(equality_resolution,[],[f8775])).
% 4.57/1.00 thf(f8796,plain,(
% 4.57/1.00 (((sK0 @ cN)) = $false) | (cN != cN) | ~spl4_3),
% 4.57/1.00 inference(beta-eta_normalization,[],[f8793])).
% 4.57/1.00 thf(f8797,plain,(
% 4.57/1.00 (((sK0 @ cN)) = $false) | ~spl4_3),
% 4.57/1.00 inference(trivial_inequality_removal,[],[f8796])).
% 4.57/1.00 thf(f8800,plain,(
% 4.57/1.00 $false | (spl4_1 | ~spl4_3)),
% 4.57/1.00 inference(forward_subsumption_resolution,[],[f8797,f35])).
% 4.57/1.00 thf(f8801,plain,(
% 4.57/1.00 spl4_1 | ~spl4_3),
% 4.57/1.00 inference(avatar_contradiction_clause,[],[f8800])).
% 4.57/1.00 cnf(s1, plain, spl4_1 | spl4_2, inference(sat_conversion,[],[f41])).
% 4.57/1.00 cnf(s7, plain, spl4_7 | spl4_8, inference(sat_conversion,[],[f301])).
% 4.57/1.00 cnf(s8, plain, spl4_9 | spl4_10, inference(sat_conversion,[],[f302])).
% 4.57/1.00 cnf(s11, plain, spl4_3 | ~spl4_7, inference(sat_conversion,[],[f338])).
% 4.57/1.00 cnf(s36, plain, ~spl4_1 | ~spl4_14, inference(sat_conversion,[],[f542])).
% 4.57/1.00 cnf(s41, plain, ~spl4_16, inference(sat_conversion,[],[f725])).
% 4.57/1.00 cnf(s357, plain, ~spl4_1 | ~spl4_9, inference(sat_conversion,[],[f4787])).
% 4.57/1.00 cnf(s360, plain, ~spl4_1 | ~spl4_3, inference(sat_conversion,[],[f4885])).
% 4.57/1.00 cnf(s513, plain, spl4_16 | ~spl4_10 | spl4_14 | ~spl4_8 | spl4_16, inference(sat_conversion,[],[f5512])).
% 4.57/1.00 cnf(s514, plain, ~spl4_8 | ~spl4_10 | spl4_14 | spl4_16, inference(rat,[],[s513])).
% 4.57/1.00 cnf(s585, plain, ~spl4_2 | spl4_7, inference(sat_conversion,[],[f5684])).
% 4.57/1.00 cnf(s819, plain, spl4_1 | ~spl4_3, inference(sat_conversion,[],[f8801])).
% 4.57/1.00 cnf(s884, plain, spl4_1, inference(rat,[],[s585,s11,s1,s819])).
% 4.57/1.00 cnf(s885, plain, ~spl4_3, inference(rat,[],[s360,s884])).
% 4.57/1.00 cnf(s886, plain, ~spl4_9, inference(rat,[],[s357,s884])).
% 4.57/1.00 cnf(s887, plain, ~spl4_14, inference(rat,[],[s36,s884])).
% 4.57/1.00 cnf(s888, plain, ~spl4_7, inference(rat,[],[s11,s885])).
% 4.57/1.00 cnf(s891, plain, spl4_10, inference(rat,[],[s8,s886])).
% 4.57/1.00 cnf(s895, plain, spl4_8, inference(rat,[],[s7,s888])).
% 4.57/1.00 cnf(s900, plain, $false, inference(rat,[],[s514,s41,s887,s895,s891])).
% 4.57/1.00 thf(f8870,plain,(
% 4.57/1.00 $false),
% 4.57/1.00 inference(avatar_sat_refutation,[],[s900])).
% 4.57/1.00 % SZS output end Proof for theBenchmark
% 4.57/1.00 % (335410)------------------------------
% 4.57/1.00 % (335410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.00 % (335410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.00 % (335410)CaDiCaL version: 2.1.3
% 4.57/1.00 % (335410)Termination reason: Refutation
% 4.57/1.00 % (335410)Time elapsed: 0.497 s
% 4.57/1.00 % (335410)Peak memory usage: 17 MB
% 4.57/1.00 % (335410)Instructions burned: 943 (million)
% 4.57/1.00 % (335287)Success in time 0.779 s
% 4.57/1.00 % Vampire exiting
%------------------------------------------------------------------------------