%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRA030^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 08:03:29 AM UTC 2026
% Result : Theorem 60.76s 9.51s
% Output : Refutation 60.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA030^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 18:39:34 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.78/0.90 % (1441437)Will run a generic schedule for satisfiability detection.
% 3.78/0.90 % (1441446)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1256821969:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.78/0.90 % (1441446)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.78/0.90 % (1441443)% WARNING: option uhcvi not known.
% 3.78/0.90 % (1441443)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3911085041:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.78/0.90 % (1441442)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=88628092_2999 on theBenchmark for (2999ds/0Mi)
% 3.78/0.90 % (1441444)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=862400909:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.78/0.90 % (1441445)dis+10_1_sil=32000:sp=arity:random_seed=3540571995:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.78/0.90 % (1441447)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2743702168:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.78/0.90 % (1441448)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2761450178:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.78/0.90 % (1441443)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.78/0.90 % (1441443)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.78/0.90 % Exception at run slice level
% 3.78/0.90 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.78/0.90 % (1441446)Instruction limit reached!
% 3.78/0.90 % (1441446)------------------------------
% 3.78/0.90 % (1441446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.78/0.90 % (1441446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/0.90 % (1441456)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2137083681:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.78/0.90 % (1441446)CaDiCaL version: 2.1.3
% 3.78/0.90 % (1441446)Termination reason: Instruction limit
% 3.78/0.90 % (1441446)Termination phase: Saturation
% 3.78/0.90 % (1441446)Time elapsed: 0.029 s
% 3.78/0.90 % (1441446)Peak memory usage: 13 MB
% 3.78/0.90 % (1441446)Instructions burned: 118 (million)
% 3.78/0.90 % Exception at run slice level
% 3.78/0.90 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.78/0.90 % (1441458)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=211899924:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.78/0.90 % (1441459)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=2003990848:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.78/0.90 % (1441459)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.78/0.90 % (1441459)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.78/0.90 % (1441445)Instruction limit reached!
% 3.78/0.90 % (1441445)------------------------------
% 3.78/0.90 % (1441445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.78/0.90 % (1441445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/0.90 % (1441445)CaDiCaL version: 2.1.3
% 3.78/0.90 % (1441445)Termination reason: Instruction limit
% 3.78/0.90 % (1441445)Termination phase: Saturation
% 3.78/0.90 % (1441445)Time elapsed: 0.049 s
% 3.78/0.90 % (1441445)Peak memory usage: 12 MB
% 3.78/0.90 % (1441445)Instructions burned: 104 (million)
% 3.78/0.90 % (1441447)Instruction limit reached!
% 3.78/0.90 % (1441447)------------------------------
% 3.78/0.90 % (1441447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.78/0.90 % (1441447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/0.90 % (1441447)CaDiCaL version: 2.1.3
% 3.78/0.90 % (1441447)Termination reason: Instruction limit
% 3.78/0.90 % (1441447)Termination phase: Saturation
% 3.78/0.90 % (1441447)Time elapsed: 0.063 s
% 3.78/0.90 % (1441447)Peak memory usage: 13 MB
% 3.78/0.90 % (1441447)Instructions burned: 132 (million)
% 3.78/0.90 % (1441458)Instruction limit reached!
% 3.78/0.90 % (1441458)------------------------------
% 3.78/0.90 % (1441458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.46 % (1441458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.46 % (1441458)CaDiCaL version: 2.1.3
% 15.03/2.46 % (1441458)Termination reason: Instruction limit
% 15.03/2.46 % (1441458)Termination phase: Saturation
% 15.03/2.46 % (1441458)Time elapsed: 0.034 s
% 15.03/2.46 % (1441458)Peak memory usage: 13 MB
% 15.03/2.46 % (1441458)Instructions burned: 132 (million)
% 15.03/2.46 % (1441462)ott-21_1_sil=16000:fs=off:random_seed=3174129014:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 15.03/2.46 % (1441448)Instruction limit reached!
% 15.03/2.46 % (1441448)------------------------------
% 15.03/2.46 % (1441448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.46 % (1441448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.46 % (1441448)CaDiCaL version: 2.1.3
% 15.03/2.46 % (1441448)Termination reason: Instruction limit
% 15.03/2.46 % (1441448)Termination phase: Saturation
% 15.03/2.46 % (1441448)Time elapsed: 0.073 s
% 15.03/2.46 % (1441448)Peak memory usage: 13 MB
% 15.03/2.46 % (1441448)Instructions burned: 160 (million)
% 15.03/2.46 % (1441464)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1076992768:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 15.03/2.46 % Exception at run slice level
% 15.03/2.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.03/2.46 % (1441463)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2510991839:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 15.03/2.46 % (1441468)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1900843138:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 15.03/2.46 % Exception at run slice level
% 15.03/2.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.03/2.46 % (1441466)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3795348443:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 15.03/2.46 % (1441471)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=3252278226: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)
% 15.03/2.46 % (1441471)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.03/2.46 % (1441462)Instruction limit reached!
% 15.03/2.46 % (1441462)------------------------------
% 15.03/2.46 % (1441462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.46 % (1441462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.46 % (1441462)CaDiCaL version: 2.1.3
% 15.03/2.46 % (1441462)Termination reason: Instruction limit
% 15.03/2.46 % (1441462)Termination phase: Saturation
% 15.03/2.46 % (1441462)Time elapsed: 0.081 s
% 15.03/2.46 % (1441462)Peak memory usage: 12 MB
% 15.03/2.46 % (1441462)Instructions burned: 180 (million)
% 15.03/2.46 % (1441474)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1970668515:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 15.03/2.46 % (1441474)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.03/2.46 % (1441471)Instruction limit reached!
% 15.03/2.46 % (1441471)------------------------------
% 15.03/2.46 % (1441471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.46 % (1441471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.46 % (1441471)CaDiCaL version: 2.1.3
% 15.03/2.46 % (1441471)Termination reason: Instruction limit
% 15.03/2.46 % (1441471)Termination phase: Saturation
% 15.03/2.46 % (1441471)Time elapsed: 0.167 s
% 15.03/2.46 % (1441471)Peak memory usage: 17 MB
% 15.03/2.46 % (1441471)Instructions burned: 694 (million)
% 15.03/2.46 % (1441490)fmb+10_1_sil=64000:random_seed=4175372864:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 15.03/2.46 % (1441490)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.03/2.46 % Exception at run slice level
% 15.03/2.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.03/2.46 % (1441495)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3490997613:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 15.03/2.46 % Exception at run slice level
% 15.03/2.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.19/4.87 % (1441463)Instruction limit reached!
% 32.19/4.87 % (1441463)------------------------------
% 32.19/4.87 % (1441463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/4.87 % (1441463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/4.87 % (1441463)CaDiCaL version: 2.1.3
% 32.19/4.87 % (1441463)Termination reason: Instruction limit
% 32.19/4.87 % (1441463)Termination phase: Saturation
% 32.19/4.87 % (1441463)Time elapsed: 0.220 s
% 32.19/4.87 % (1441463)Peak memory usage: 13 MB
% 32.19/4.87 % (1441463)Instructions burned: 478 (million)
% 32.19/4.87 % (1441498)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3280619767:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 32.19/4.87 % Exception at run slice level
% 32.19/4.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.19/4.87 % (1441502)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=172030453:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 32.19/4.87 % (1441502)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 32.19/4.87 % (1441504)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=557902586:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 32.19/4.87 % (1441504)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 32.19/4.87 % (1441504)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 32.19/4.87 % (1441459)Instruction limit reached!
% 32.19/4.87 % (1441459)------------------------------
% 32.19/4.87 % (1441459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/4.87 % (1441459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/4.87 % (1441459)CaDiCaL version: 2.1.3
% 32.19/4.87 % (1441459)Termination reason: Instruction limit
% 32.19/4.87 % (1441459)Termination phase: Saturation
% 32.19/4.87 % (1441459)Time elapsed: 0.374 s
% 32.19/4.87 % (1441459)Peak memory usage: 15 MB
% 32.19/4.87 % (1441459)Instructions burned: 684 (million)
% 32.19/4.87 % (1441547)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2317328811:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 32.19/4.87 % Exception at run slice level
% 32.19/4.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.19/4.87 % (1441555)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=652160280:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 32.19/4.87 % Exception at run slice level
% 32.19/4.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.19/4.87 % (1441563)ott-2_1_sil=16000:newcnf=on:random_seed=1547658244:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 32.19/4.87 % (1441563)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 32.19/4.87 % (1441474)Instruction limit reached!
% 32.19/4.87 % (1441474)------------------------------
% 32.19/4.87 % (1441474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/4.87 % (1441474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/4.87 % (1441474)CaDiCaL version: 2.1.3
% 32.19/4.87 % (1441474)Termination reason: Instruction limit
% 32.19/4.87 % (1441474)Termination phase: Saturation
% 32.19/4.87 % (1441474)Time elapsed: 0.399 s
% 32.19/4.87 % (1441474)Peak memory usage: 17 MB
% 32.19/4.87 % (1441474)Instructions burned: 881 (million)
% 32.19/4.87 % (1441572)ott+10_1_sil=32000:tgt=ground:random_seed=918113897:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 32.19/4.87 % (1441466)Instruction limit reached!
% 32.19/4.87 % (1441466)------------------------------
% 32.19/4.87 % (1441466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/4.87 % (1441466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/4.87 % (1441466)CaDiCaL version: 2.1.3
% 32.19/4.87 % (1441466)Termination reason: Instruction limit
% 32.19/4.87 % (1441466)Termination phase: Saturation
% 32.19/4.87 % (1441466)Time elapsed: 0.508 s
% 32.19/4.87 % (1441466)Peak memory usage: 18 MB
% 32.19/4.87 % (1441466)Instructions burned: 1180 (million)
% 32.19/4.87 % (1441574)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1044067708:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 32.19/4.87 % Exception at run slice level
% 32.19/4.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 60.76/9.51 % (1441582)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2083120453:i=3512:aac=none_2993 on theBenchmark for (2993ds/3512Mi)
% 60.76/9.51 % (1441582)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 60.76/9.51 % (1441504)Instruction limit reached!
% 60.76/9.51 % (1441504)------------------------------
% 60.76/9.51 % (1441504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.51 % (1441504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.51 % (1441504)CaDiCaL version: 2.1.3
% 60.76/9.51 % (1441504)Termination reason: Instruction limit
% 60.76/9.51 % (1441504)Termination phase: Saturation
% 60.76/9.51 % (1441504)Time elapsed: 0.392 s
% 60.76/9.51 % (1441504)Peak memory usage: 18 MB
% 60.76/9.51 % (1441504)Instructions burned: 1474 (million)
% 60.76/9.51 % (1441617)dis+21_1_sil=32000:sas=cadical:random_seed=303583226:i=3773:amm=off_2992 on theBenchmark for (2992ds/3773Mi)
% 60.76/9.51 % (1441563)Instruction limit reached!
% 60.76/9.51 % (1441563)------------------------------
% 60.76/9.51 % (1441563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.51 % (1441563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.51 % (1441563)CaDiCaL version: 2.1.3
% 60.76/9.51 % (1441563)Termination reason: Instruction limit
% 60.76/9.51 % (1441563)Termination phase: Saturation
% 60.76/9.51 % (1441563)Time elapsed: 0.389 s
% 60.76/9.51 % (1441563)Peak memory usage: 16 MB
% 60.76/9.51 % (1441563)Instructions burned: 870 (million)
% 60.76/9.51 % (1441661)ott+11_1_sil=16000:gs=on:random_seed=886741436:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2990 on theBenchmark for (2990ds/2251Mi)
% 60.76/9.51 % (1441661)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 60.76/9.51 % (1441617)Instruction limit reached!
% 60.76/9.51 % (1441617)------------------------------
% 60.76/9.51 % (1441617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.51 % (1441617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.51 % (1441617)CaDiCaL version: 2.1.3
% 60.76/9.51 % (1441617)Termination reason: Instruction limit
% 60.76/9.51 % (1441617)Termination phase: Saturation
% 60.76/9.51 % (1441617)Time elapsed: 0.859 s
% 60.76/9.51 % (1441617)Peak memory usage: 22 MB
% 60.76/9.51 % (1441617)Instructions burned: 3776 (million)
% 60.76/9.51 % (1441734)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2019500623:fmbsr=1.6:i=67534_2983 on theBenchmark for (2983ds/67534Mi)
% 60.76/9.51 % Exception at run slice level
% 60.76/9.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 60.76/9.51 % (1441736)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=428568220:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 60.76/9.51 % (1441661)Instruction limit reached!
% 60.76/9.51 % (1441661)------------------------------
% 60.76/9.51 % (1441661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.51 % (1441661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.51 % (1441661)CaDiCaL version: 2.1.3
% 60.76/9.51 % (1441661)Termination reason: Instruction limit
% 60.76/9.51 % (1441661)Termination phase: Saturation
% 60.76/9.51 % (1441661)Time elapsed: 1.025 s
% 60.76/9.51 % (1441661)Peak memory usage: 22 MB
% 60.76/9.51 % (1441661)Instructions burned: 2253 (million)
% 60.76/9.51 % (1441738)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3113469644:i=29340_2980 on theBenchmark for (2980ds/29340Mi)
% 60.76/9.51 % (1441582)Instruction limit reached!
% 60.76/9.51 % (1441582)------------------------------
% 60.76/9.51 % (1441582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.51 % (1441582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.51 % (1441582)CaDiCaL version: 2.1.3
% 60.76/9.51 % (1441582)Termination reason: Instruction limit
% 60.76/9.51 % (1441582)Termination phase: Saturation
% 60.76/9.51 % (1441582)Time elapsed: 1.522 s
% 60.76/9.51 % (1441582)Peak memory usage: 20 MB
% 60.76/9.51 % (1441582)Instructions burned: 3514 (million)
% 60.76/9.51 % (1441740)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=4286603581:i=5211_2977 on theBenchmark for (2977ds/5211Mi)
% 60.76/9.51 % (1441502)Instruction limit reached!
% 60.76/9.51 % (1441502)------------------------------
% 60.76/9.51 % (1441502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.51 % (1441502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.51 % (1441502)CaDiCaL version: 2.1.3
% 60.76/9.51 % (1441502)Termination reason: Instruction limit
% 60.76/9.51 % (1441502)Termination phase: Saturation
% 60.76/9.51 % (1441502)Time elapsed: 2.221 s
% 60.76/9.51 % (1441502)Peak memory usage: 23 MB
% 60.76/9.51 % (1441502)Instructions burned: 5132 (million)
% 60.76/9.51 % (1441742)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2202221620:i=5497:nm=2_2974 on theBenchmark for (2974ds/5497Mi)
% 60.76/9.51 % Exception at run slice level
% 60.76/9.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 60.76/9.51 % (1441744)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2657106121:fmbsr=2:i=46332_2973 on theBenchmark for (2973ds/46332Mi)
% 60.76/9.51 % Exception at run slice level
% 60.76/9.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 60.76/9.51 % (1441746)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=105740277:i=14071_2973 on theBenchmark for (2973ds/14071Mi)
% 60.76/9.51 % Exception at run slice level
% 60.76/9.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 60.76/9.51 % (1441748)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1355914380:i=22565:add=on:rawr=on_2973 on theBenchmark for (2973ds/22565Mi)
% 60.76/9.51 % (1441736)Instruction limit reached!
% 60.76/9.51 % (1441736)------------------------------
% 60.76/9.51 % (1441736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.51 % (1441736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.51 % (1441736)CaDiCaL version: 2.1.3
% 60.76/9.51 % (1441736)Termination reason: Instruction limit
% 60.76/9.51 % (1441736)Termination phase: Saturation
% 60.76/9.51 % (1441736)Time elapsed: 1.115 s
% 60.76/9.51 % (1441736)Peak memory usage: 30 MB
% 60.76/9.51 % (1441736)Instructions burned: 4592 (million)
% 60.76/9.51 % (1441750)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1539922697:i=8173:av=off_2972 on theBenchmark for (2972ds/8173Mi)
% 60.76/9.51 % (1441572)Instruction limit reached!
% 60.76/9.51 % (1441572)------------------------------
% 60.76/9.51 % (1441572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.51 % (1441572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.51 % (1441572)CaDiCaL version: 2.1.3
% 60.76/9.51 % (1441572)Termination reason: Instruction limit
% 60.76/9.51 % (1441572)Termination phase: Saturation
% 60.76/9.51 % (1441572)Time elapsed: 2.210 s
% 60.76/9.51 % (1441572)Peak memory usage: 40 MB
% 60.76/9.51 % (1441572)Instructions burned: 5115 (million)
% 60.76/9.51 % (1441752)dis+10_16:1_sil=16000:random_seed=1320319502:i=9155:fsr=off_2971 on theBenchmark for (2971ds/9155Mi)
% 60.76/9.51 % (1441740)Instruction limit reached!
% 60.76/9.51 % (1441740)------------------------------
% 60.76/9.51 % (1441740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.51 % (1441740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.51 % (1441740)CaDiCaL version: 2.1.3
% 60.76/9.51 % (1441740)Termination reason: Instruction limit
% 60.76/9.51 % (1441740)Termination phase: Saturation
% 60.76/9.51 % (1441740)Time elapsed: 2.232 s
% 60.76/9.51 % (1441740)Peak memory usage: 28 MB
% 60.76/9.51 % (1441740)Instructions burned: 5212 (million)
% 60.76/9.51 % (1441754)ott-3_8_sil=64000:random_seed=106032764:i=20139:bs=on_2955 on theBenchmark for (2955ds/20139Mi)
% 60.76/9.51 % (1441750)Instruction limit reached!
% 60.76/9.51 % (1441750)------------------------------
% 60.76/9.51 % (1441750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.51 % (1441750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.51 % (1441750)CaDiCaL version: 2.1.3
% 60.76/9.51 % (1441750)Termination reason: Instruction limit
% 60.76/9.51 % (1441750)Termination phase: Saturation
% 60.76/9.51 % (1441750)Time elapsed: 1.833 s
% 60.76/9.51 % (1441750)Peak memory usage: 49 MB
% 60.76/9.51 % (1441750)Instructions burned: 8176 (million)
% 60.76/9.51 % (1441756)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=265555033:fmbsr=2:i=32576_2953 on theBenchmark for (2953ds/32576Mi)
% 60.76/9.51 % Exception at run slice level
% 60.76/9.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 60.76/9.51 % (1441758)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=739618780:i=11404_2953 on theBenchmark for (2953ds/11404Mi)
% 60.76/9.51 % (1441752)Instruction limit reached!
% 60.76/9.51 % (1441752)------------------------------
% 60.76/9.51 % (1441752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.51 % (1441752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.51 % (1441752)CaDiCaL version: 2.1.3
% 60.76/9.51 % (1441752)Termination reason: Instruction limit
% 60.76/9.51 % (1441752)Termination phase: Saturation
% 60.76/9.51 % (1441752)Time elapsed: 3.819 s
% 60.76/9.51 % (1441752)Peak memory usage: 26 MB
% 60.76/9.51 % (1441752)Instructions burned: 9157 (million)
% 60.76/9.51 % (1441760)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=1117860798:i=14134_2933 on theBenchmark for (2933ds/14134Mi)
% 60.76/9.51 % (1441760)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 60.76/9.51 % (1441758)Instruction limit reached!
% 60.76/9.51 % (1441758)------------------------------
% 60.76/9.51 % (1441758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.51 % (1441758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.51 % (1441758)CaDiCaL version: 2.1.3
% 60.76/9.51 % (1441758)Termination reason: Instruction limit
% 60.76/9.51 % (1441758)Termination phase: Saturation
% 60.76/9.51 % (1441758)Time elapsed: 2.562 s
% 60.76/9.51 % (1441758)Peak memory usage: 57 MB
% 60.76/9.51 % (1441758)Instructions burned: 11405 (million)
% 60.76/9.51 % (1441762)dis+33_16_sil=32000:sac=on:random_seed=2632604190:i=15851:nm=0_2927 on theBenchmark for (2927ds/15851Mi)
% 60.76/9.51 % (1441754) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1441437-1441754"...
% 60.76/9.51 % (1441754)...printing done.
% 60.76/9.51 % (1441754)Refutation found. Thanks to Tanya!
% 60.76/9.51 % SZS status Theorem for theBenchmark
% 60.76/9.51 % SZS output start Proof for theBenchmark
% 60.76/9.51 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 60.76/9.51 thf(func_def_3, type, sP0: ((($o > $o) > ($o > $o) > $o) > $o)).
% 60.76/9.51 thf(func_def_4, type, sK1: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 60.76/9.51 thf(func_def_5, type, sK2: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 60.76/9.51 thf(func_def_6, type, sK3: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 60.76/9.51 thf(func_def_7, type, sK4: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 60.76/9.51 thf(func_def_8, type, sK5: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 60.76/9.51 thf(func_def_9, type, sK6: ((($o > $o) > ($o > $o) > $o) > ($o > $o) > $o)).
% 60.76/9.51 thf(func_def_10, type, sK7: ((($o > $o) > ($o > $o) > $o) > ($o > $o) > $o)).
% 60.76/9.51 thf(func_def_11, type, sK8: ((($o > $o) > ($o > $o) > $o) > ($o > $o) > $o)).
% 60.76/9.51 thf(func_def_12, type, sK9: ((($o > $o) > ($o > $o) > $o) > ($o > $o) > $o)).
% 60.76/9.51 thf(func_def_13, type, sK10: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 60.76/9.51 thf(func_def_14, type, sK11: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 60.76/9.51 thf(func_def_15, type, sK12: ((($o > $o) > ($o > $o) > $o) > ($o > $o) > $o)).
% 60.76/9.51 thf(func_def_16, type, sK13: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 60.76/9.51 thf(func_def_17, type, sK14: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 60.76/9.51 thf(func_def_18, type, vNOT: ($o > $o)).
% 60.76/9.51 thf(func_def_19, type, db0: !>[X0: $tType]:(X0)).
% 60.76/9.51 thf(func_def_20, type, db1: !>[X0: $tType]:(X0)).
% 60.76/9.51 thf(func_def_21, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 60.76/9.51 thf(func_def_22, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 60.76/9.51 thf(func_def_24, type, db2: !>[X0: $tType]:(X0)).
% 60.76/9.51 thf(func_def_25, type, db3: !>[X0: $tType]:(X0)).
% 60.76/9.51 thf(func_def_26, type, db4: !>[X0: $tType]:(X0)).
% 60.76/9.51 thf(func_def_27, type, sK16: $o).
% 60.76/9.51 thf(func_def_28, type, sK17: $o).
% 60.76/9.51 thf(func_def_29, type, sK18: $o).
% 60.76/9.51 thf(func_def_30, type, sK19: $o).
% 60.76/9.51 thf(func_def_31, type, sK20: $o).
% 60.76/9.51 thf(func_def_32, type, sK21: $o).
% 60.76/9.51 thf(func_def_33, type, sK22: $o).
% 60.76/9.51 thf(func_def_34, type, sK23: $o).
% 60.76/9.51 thf(func_def_35, type, sK24: $o).
% 60.76/9.51 thf(func_def_36, type, sK25: $o).
% 60.76/9.51 thf(func_def_37, type, db6: !>[X0: $tType]:(X0)).
% 60.76/9.51 thf(func_def_38, type, db5: !>[X0: $tType]:(X0)).
% 60.76/9.51 thf(func_def_39, type, sK26: $o).
% 60.76/9.51 thf(func_def_40, type, sK27: $o).
% 60.76/9.51 thf(func_def_41, type, sK28: $o).
% 60.76/9.51 thf(func_def_42, type, sK29: $o).
% 60.76/9.51 thf(f1,conjecture,(
% 60.76/9.51 ? [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X3 : ($o > $o),X4 : ($o > $o),X6 : ($o > $o),X7 : ($o > $o),X8 : ($o > $o),X5 : (($o > $o) > $o),X9 : (($o > $o) > $o),X10 : (($o > $o) > $o),X11 : (($o > $o) > $o)] : ((~(X11 @ X8) & (X11 @ X7) & ~(X11 @ X6) & ~(X11 @ X4) & ~(X11 @ X3) & ~(X10 @ X8) & ~(X10 @ X7) & (X10 @ X6) & ~(X10 @ X4) & ~(X10 @ X3) & ~(X9 @ X8) & ~(X9 @ X7) & ~(X9 @ X6) & (X9 @ X4) & ~(X9 @ X3) & ~(X5 @ X8) & ~(X5 @ X7) & ~(X5 @ X6) & ~(X5 @ X4) & (X5 @ X3)) => ((X0 @ X8 @ X7) | (X0 @ X8 @ X6) | (X0 @ X8 @ X4) | (X0 @ X8 @ X3) | (X0 @ X7 @ X6) | (X0 @ X7 @ X4) | (X0 @ X7 @ X3) | (X0 @ X6 @ X4) | (X0 @ X6 @ X3) | (X0 @ X4 @ X3))) & ! [X3 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : ((~(X5 @ X4) & (X5 @ X3)) => ~(X0 @ X4 @ X3)) & ! [X1 : ($o > $o),X2 : ($o > $o)] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))),
% 60.76/9.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ramsey_l_2_5_4)).
% 60.76/9.51 thf(f2,negated_conjecture,(
% 60.76/9.51 ~ ? [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X3 : ($o > $o),X4 : ($o > $o),X6 : ($o > $o),X7 : ($o > $o),X8 : ($o > $o),X5 : (($o > $o) > $o),X9 : (($o > $o) > $o),X10 : (($o > $o) > $o),X11 : (($o > $o) > $o)] : ((~(X11 @ X8) & (X11 @ X7) & ~(X11 @ X6) & ~(X11 @ X4) & ~(X11 @ X3) & ~(X10 @ X8) & ~(X10 @ X7) & (X10 @ X6) & ~(X10 @ X4) & ~(X10 @ X3) & ~(X9 @ X8) & ~(X9 @ X7) & ~(X9 @ X6) & (X9 @ X4) & ~(X9 @ X3) & ~(X5 @ X8) & ~(X5 @ X7) & ~(X5 @ X6) & ~(X5 @ X4) & (X5 @ X3)) => ((X0 @ X8 @ X7) | (X0 @ X8 @ X6) | (X0 @ X8 @ X4) | (X0 @ X8 @ X3) | (X0 @ X7 @ X6) | (X0 @ X7 @ X4) | (X0 @ X7 @ X3) | (X0 @ X6 @ X4) | (X0 @ X6 @ X3) | (X0 @ X4 @ X3))) & ! [X3 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : ((~(X5 @ X4) & (X5 @ X3)) => ~(X0 @ X4 @ X3)) & ! [X1 : ($o > $o),X2 : ($o > $o)] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))),
% 60.76/9.51 inference(negated_conjecture,[status(cth)],[f1])).
% 60.76/9.51 thf(f3,plain,(
% 60.76/9.51 ~ ? [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X1 : ($o > $o),X2 : ($o > $o),X3 : ($o > $o),X4 : ($o > $o),X5 : ($o > $o),X6 : (($o > $o) > $o),X7 : (($o > $o) > $o),X8 : (($o > $o) > $o),X9 : (($o > $o) > $o)] : ((~(X9 @ X5) & (X9 @ X4) & ~(X9 @ X3) & ~(X9 @ X2) & ~(X9 @ X1) & ~(X8 @ X5) & ~(X8 @ X4) & (X8 @ X3) & ~(X8 @ X2) & ~(X8 @ X1) & ~(X7 @ X5) & ~(X7 @ X4) & ~(X7 @ X3) & (X7 @ X2) & ~(X7 @ X1) & ~(X6 @ X5) & ~(X6 @ X4) & ~(X6 @ X3) & ~(X6 @ X2) & (X6 @ X1)) => ((X0 @ X5 @ X4) | (X0 @ X5 @ X3) | (X0 @ X5 @ X2) | (X0 @ X5 @ X1) | (X0 @ X4 @ X3) | (X0 @ X4 @ X2) | (X0 @ X4 @ X1) | (X0 @ X3 @ X2) | (X0 @ X3 @ X1) | (X0 @ X2 @ X1))) & ! [X10 : ($o > $o),X11 : ($o > $o),X12 : (($o > $o) > $o)] : ((~(X12 @ X11) & (X12 @ X10)) => ~(X0 @ X11 @ X10)) & ! [X13 : ($o > $o),X14 : ($o > $o)] : ((X0 @ X13 @ X14) => (X0 @ X14 @ X13)))),
% 60.76/9.51 inference(rectify,[],[f2])).
% 60.76/9.51 thf(f4,plain,(
% 60.76/9.51 ~ ? [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X1 : ($o > $o),X2 : ($o > $o),X3 : ($o > $o),X4 : ($o > $o),X5 : ($o > $o),X6 : (($o > $o) > $o),X7 : (($o > $o) > $o),X8 : (($o > $o) > $o),X9 : (($o > $o) > $o)] : ((~ (((X9 @ X5)) = $true) & (((X9 @ X4)) = $true) & ~ (((X9 @ X3)) = $true) & ~ (((X9 @ X2)) = $true) & ~ (((X9 @ X1)) = $true) & ~ (((X8 @ X5)) = $true) & ~ (((X8 @ X4)) = $true) & (((X8 @ X3)) = $true) & ~ (((X8 @ X2)) = $true) & ~ (((X8 @ X1)) = $true) & ~ (((X7 @ X5)) = $true) & ~ (((X7 @ X4)) = $true) & ~ (((X7 @ X3)) = $true) & (((X7 @ X2)) = $true) & ~ (((X7 @ X1)) = $true) & ~ (((X6 @ X5)) = $true) & ~ (((X6 @ X4)) = $true) & ~ (((X6 @ X3)) = $true) & ~ (((X6 @ X2)) = $true) & (((X6 @ X1)) = $true)) => ((((X0 @ X5 @ X4)) = $true) | (((X0 @ X5 @ X3)) = $true) | (((X0 @ X5 @ X2)) = $true) | (((X0 @ X5 @ X1)) = $true) | (((X0 @ X4 @ X3)) = $true) | (((X0 @ X4 @ X2)) = $true) | (((X0 @ X4 @ X1)) = $true) | (((X0 @ X3 @ X2)) = $true) | (((X0 @ X3 @ X1)) = $true) | (((X0 @ X2 @ X1)) = $true))) & ! [X10 : ($o > $o),X11 : ($o > $o),X12 : (($o > $o) > $o)] : ((~ (((X12 @ X11)) = $true) & (((X12 @ X10)) = $true)) => ~ (((X0 @ X11 @ X10)) = $true)) & ! [X13 : ($o > $o),X14 : ($o > $o)] : ((((X0 @ X13 @ X14)) = $true) => (((X0 @ X14 @ X13)) = $true)))),
% 60.76/9.51 inference(fool_elimination,[],[f3])).
% 60.76/9.51 thf(f5,plain,(
% 60.76/9.51 ~ ? [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X1 : ($o > $o),X2 : ($o > $o),X3 : ($o > $o),X4 : ($o > $o),X5 : ($o > $o),X6 : (($o > $o) > $o),X7 : (($o > $o) > $o),X8 : (($o > $o) > $o),X9 : (($o > $o) > $o)] : (((((X9 @ X5)) != $true) & (((X9 @ X4)) = $true) & (((X9 @ X3)) != $true) & (((X9 @ X2)) != $true) & (((X9 @ X1)) != $true) & (((X8 @ X5)) != $true) & (((X8 @ X4)) != $true) & (((X8 @ X3)) = $true) & (((X8 @ X2)) != $true) & (((X8 @ X1)) != $true) & (((X7 @ X5)) != $true) & (((X7 @ X4)) != $true) & (((X7 @ X3)) != $true) & (((X7 @ X2)) = $true) & (((X7 @ X1)) != $true) & (((X6 @ X5)) != $true) & (((X6 @ X4)) != $true) & (((X6 @ X3)) != $true) & (((X6 @ X2)) != $true) & (((X6 @ X1)) = $true)) => ((((X0 @ X5 @ X4)) = $true) | (((X0 @ X5 @ X3)) = $true) | (((X0 @ X5 @ X2)) = $true) | (((X0 @ X5 @ X1)) = $true) | (((X0 @ X4 @ X3)) = $true) | (((X0 @ X4 @ X2)) = $true) | (((X0 @ X4 @ X1)) = $true) | (((X0 @ X3 @ X2)) = $true) | (((X0 @ X3 @ X1)) = $true) | (((X0 @ X2 @ X1)) = $true))) & ! [X10 : ($o > $o),X11 : ($o > $o),X12 : (($o > $o) > $o)] : (((((X12 @ X11)) != $true) & (((X12 @ X10)) = $true)) => (((X0 @ X11 @ X10)) != $true)) & ! [X13 : ($o > $o),X14 : ($o > $o)] : ((((X0 @ X13 @ X14)) = $true) => (((X0 @ X14 @ X13)) = $true)))),
% 60.76/9.51 inference(flattening,[],[f4])).
% 60.76/9.51 thf(f6,plain,(
% 60.76/9.51 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (? [X1 : ($o > $o),X2 : ($o > $o),X3 : ($o > $o),X4 : ($o > $o),X5 : ($o > $o),X6 : (($o > $o) > $o),X7 : (($o > $o) > $o),X8 : (($o > $o) > $o),X9 : (($o > $o) > $o)] : (((((X0 @ X5 @ X4)) != $true) & (((X0 @ X5 @ X3)) != $true) & (((X0 @ X5 @ X2)) != $true) & (((X0 @ X5 @ X1)) != $true) & (((X0 @ X4 @ X3)) != $true) & (((X0 @ X4 @ X2)) != $true) & (((X0 @ X4 @ X1)) != $true) & (((X0 @ X3 @ X2)) != $true) & (((X0 @ X3 @ X1)) != $true) & (((X0 @ X2 @ X1)) != $true)) & ((((X9 @ X5)) != $true) & (((X9 @ X4)) = $true) & (((X9 @ X3)) != $true) & (((X9 @ X2)) != $true) & (((X9 @ X1)) != $true) & (((X8 @ X5)) != $true) & (((X8 @ X4)) != $true) & (((X8 @ X3)) = $true) & (((X8 @ X2)) != $true) & (((X8 @ X1)) != $true) & (((X7 @ X5)) != $true) & (((X7 @ X4)) != $true) & (((X7 @ X3)) != $true) & (((X7 @ X2)) = $true) & (((X7 @ X1)) != $true) & (((X6 @ X5)) != $true) & (((X6 @ X4)) != $true) & (((X6 @ X3)) != $true) & (((X6 @ X2)) != $true) & (((X6 @ X1)) = $true))) | ? [X10 : ($o > $o),X11 : ($o > $o),X12 : (($o > $o) > $o)] : ((((X0 @ X11 @ X10)) = $true) & ((((X12 @ X11)) != $true) & (((X12 @ X10)) = $true))) | ? [X13 : ($o > $o),X14 : ($o > $o)] : ((((X0 @ X14 @ X13)) != $true) & (((X0 @ X13 @ X14)) = $true)))),
% 60.76/9.51 inference(ennf_transformation,[],[f5])).
% 60.76/9.51 thf(f7,plain,(
% 60.76/9.51 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (? [X1 : ($o > $o),X2 : ($o > $o),X3 : ($o > $o),X4 : ($o > $o),X5 : ($o > $o),X6 : (($o > $o) > $o),X7 : (($o > $o) > $o),X8 : (($o > $o) > $o),X9 : (($o > $o) > $o)] : ((((X0 @ X5 @ X4)) != $true) & (((X0 @ X5 @ X3)) != $true) & (((X0 @ X5 @ X2)) != $true) & (((X0 @ X5 @ X1)) != $true) & (((X0 @ X4 @ X3)) != $true) & (((X0 @ X4 @ X2)) != $true) & (((X0 @ X4 @ X1)) != $true) & (((X0 @ X3 @ X2)) != $true) & (((X0 @ X3 @ X1)) != $true) & (((X0 @ X2 @ X1)) != $true) & (((X9 @ X5)) != $true) & (((X9 @ X4)) = $true) & (((X9 @ X3)) != $true) & (((X9 @ X2)) != $true) & (((X9 @ X1)) != $true) & (((X8 @ X5)) != $true) & (((X8 @ X4)) != $true) & (((X8 @ X3)) = $true) & (((X8 @ X2)) != $true) & (((X8 @ X1)) != $true) & (((X7 @ X5)) != $true) & (((X7 @ X4)) != $true) & (((X7 @ X3)) != $true) & (((X7 @ X2)) = $true) & (((X7 @ X1)) != $true) & (((X6 @ X5)) != $true) & (((X6 @ X4)) != $true) & (((X6 @ X3)) != $true) & (((X6 @ X2)) != $true) & (((X6 @ X1)) = $true)) | ? [X10 : ($o > $o),X11 : ($o > $o),X12 : (($o > $o) > $o)] : ((((X0 @ X11 @ X10)) = $true) & (((X12 @ X11)) != $true) & (((X12 @ X10)) = $true)) | ? [X13 : ($o > $o),X14 : ($o > $o)] : ((((X0 @ X14 @ X13)) != $true) & (((X0 @ X13 @ X14)) = $true)))),
% 60.76/9.51 inference(flattening,[],[f6])).
% 60.76/9.51 thf(f8,definition,(
% 60.76/9.51 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (? [X1 : ($o > $o),X2 : ($o > $o),X3 : ($o > $o),X4 : ($o > $o),X5 : ($o > $o),X6 : (($o > $o) > $o),X7 : (($o > $o) > $o),X8 : (($o > $o) > $o),X9 : (($o > $o) > $o)] : ((((X0 @ X5 @ X4)) != $true) & (((X0 @ X5 @ X3)) != $true) & (((X0 @ X5 @ X2)) != $true) & (((X0 @ X5 @ X1)) != $true) & (((X0 @ X4 @ X3)) != $true) & (((X0 @ X4 @ X2)) != $true) & (((X0 @ X4 @ X1)) != $true) & (((X0 @ X3 @ X2)) != $true) & (((X0 @ X3 @ X1)) != $true) & (((X0 @ X2 @ X1)) != $true) & (((X9 @ X5)) != $true) & (((X9 @ X4)) = $true) & (((X9 @ X3)) != $true) & (((X9 @ X2)) != $true) & (((X9 @ X1)) != $true) & (((X8 @ X5)) != $true) & (((X8 @ X4)) != $true) & (((X8 @ X3)) = $true) & (((X8 @ X2)) != $true) & (((X8 @ X1)) != $true) & (((X7 @ X5)) != $true) & (((X7 @ X4)) != $true) & (((X7 @ X3)) != $true) & (((X7 @ X2)) = $true) & (((X7 @ X1)) != $true) & (((X6 @ X5)) != $true) & (((X6 @ X4)) != $true) & (((X6 @ X3)) != $true) & (((X6 @ X2)) != $true) & (((X6 @ X1)) = $true)) | ~ ($true = ((sP0 @ X0))))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 60.76/9.51 thf(f9,plain,(
% 60.76/9.51 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true = ((sP0 @ X0))) | ? [X10 : ($o > $o),X11 : ($o > $o),X12 : (($o > $o) > $o)] : ((((X0 @ X11 @ X10)) = $true) & (((X12 @ X11)) != $true) & (((X12 @ X10)) = $true)) | ? [X13 : ($o > $o),X14 : ($o > $o)] : ((((X0 @ X14 @ X13)) != $true) & (((X0 @ X13 @ X14)) = $true)))),
% 60.76/9.51 inference(definition_folding,[],[f7,f8])).
% 60.76/9.51 thf(f10,plain,(
% 60.76/9.51 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (? [X1 : ($o > $o),X2 : ($o > $o),X3 : ($o > $o),X4 : ($o > $o),X5 : ($o > $o),X6 : (($o > $o) > $o),X7 : (($o > $o) > $o),X8 : (($o > $o) > $o),X9 : (($o > $o) > $o)] : ((((X0 @ X5 @ X4)) != $true) & (((X0 @ X5 @ X3)) != $true) & (((X0 @ X5 @ X2)) != $true) & (((X0 @ X5 @ X1)) != $true) & (((X0 @ X4 @ X3)) != $true) & (((X0 @ X4 @ X2)) != $true) & (((X0 @ X4 @ X1)) != $true) & (((X0 @ X3 @ X2)) != $true) & (((X0 @ X3 @ X1)) != $true) & (((X0 @ X2 @ X1)) != $true) & (((X9 @ X5)) != $true) & (((X9 @ X4)) = $true) & (((X9 @ X3)) != $true) & (((X9 @ X2)) != $true) & (((X9 @ X1)) != $true) & (((X8 @ X5)) != $true) & (((X8 @ X4)) != $true) & (((X8 @ X3)) = $true) & (((X8 @ X2)) != $true) & (((X8 @ X1)) != $true) & (((X7 @ X5)) != $true) & (((X7 @ X4)) != $true) & (((X7 @ X3)) != $true) & (((X7 @ X2)) = $true) & (((X7 @ X1)) != $true) & (((X6 @ X5)) != $true) & (((X6 @ X4)) != $true) & (((X6 @ X3)) != $true) & (((X6 @ X2)) != $true) & (((X6 @ X1)) = $true)) | ($true != ((sP0 @ X0))))),
% 60.76/9.51 inference(nnf_transformation,[],[f8])).
% 60.76/9.51 thf(f11,plain,(
% 60.76/9.51 ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((($true != ((X0 @ (sK5 @ X0) @ (sK4 @ X0)))) & ($true != ((X0 @ (sK5 @ X0) @ (sK3 @ X0)))) & ($true != ((X0 @ (sK5 @ X0) @ (sK2 @ X0)))) & ($true != ((X0 @ (sK5 @ X0) @ (sK1 @ X0)))) & ($true != ((X0 @ (sK4 @ X0) @ (sK3 @ X0)))) & ($true != ((X0 @ (sK4 @ X0) @ (sK2 @ X0)))) & ($true != ((X0 @ (sK4 @ X0) @ (sK1 @ X0)))) & ($true != ((X0 @ (sK3 @ X0) @ (sK2 @ X0)))) & ($true != ((X0 @ (sK3 @ X0) @ (sK1 @ X0)))) & ($true != ((X0 @ (sK2 @ X0) @ (sK1 @ X0)))) & ($true != ((sK9 @ X0 @ (sK5 @ X0)))) & ($true = ((sK9 @ X0 @ (sK4 @ X0)))) & ($true != ((sK9 @ X0 @ (sK3 @ X0)))) & ($true != ((sK9 @ X0 @ (sK2 @ X0)))) & ($true != ((sK9 @ X0 @ (sK1 @ X0)))) & ($true != ((sK8 @ X0 @ (sK5 @ X0)))) & ($true != ((sK8 @ X0 @ (sK4 @ X0)))) & ($true = ((sK8 @ X0 @ (sK3 @ X0)))) & ($true != ((sK8 @ X0 @ (sK2 @ X0)))) & ($true != ((sK8 @ X0 @ (sK1 @ X0)))) & ($true != ((sK7 @ X0 @ (sK5 @ X0)))) & ($true != ((sK7 @ X0 @ (sK4 @ X0)))) & ($true != ((sK7 @ X0 @ (sK3 @ X0)))) & ($true = ((sK7 @ X0 @ (sK2 @ X0)))) & ($true != ((sK7 @ X0 @ (sK1 @ X0)))) & ($true != ((sK6 @ X0 @ (sK5 @ X0)))) & ($true != ((sK6 @ X0 @ (sK4 @ X0)))) & ($true != ((sK6 @ X0 @ (sK3 @ X0)))) & ($true != ((sK6 @ X0 @ (sK2 @ X0)))) & ($true = ((sK6 @ X0 @ (sK1 @ X0))))) | ($true != ((sP0 @ X0))))),
% 60.76/9.51 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP,vAPP,vAPP,vAPP,vAPP,vAPP,vAPP]),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0)],[f10])).
% 60.76/9.51 thf(f12,plain,(
% 60.76/9.51 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true = ((sP0 @ X0))) | ? [X1 : ($o > $o),X2 : ($o > $o),X3 : (($o > $o) > $o)] : ((((X0 @ X2 @ X1)) = $true) & ($true != ((X3 @ X2))) & ($true = ((X3 @ X1)))) | ? [X4 : ($o > $o),X5 : ($o > $o)] : ((((X0 @ X5 @ X4)) != $true) & ($true = ((X0 @ X4 @ X5)))))),
% 60.76/9.51 inference(rectify,[],[f9])).
% 60.76/9.51 thf(f13,plain,(
% 60.76/9.51 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true = ((sP0 @ X0))) | (($true = ((X0 @ (sK11 @ X0) @ (sK10 @ X0)))) & ($true != ((sK12 @ X0 @ (sK11 @ X0)))) & ($true = ((sK12 @ X0 @ (sK10 @ X0))))) | (($true != ((X0 @ (sK14 @ X0) @ (sK13 @ X0)))) & ($true = ((X0 @ (sK13 @ X0) @ (sK14 @ X0))))))),
% 60.76/9.51 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP,vAPP,vAPP]),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0)],[f12])).
% 60.76/9.51 thf(f34,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((sP0 @ X0))) | ($true != ((X0 @ (sK2 @ X0) @ (sK1 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f11])).
% 60.76/9.51 thf(f35,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((sP0 @ X0))) | ($true != ((X0 @ (sK3 @ X0) @ (sK1 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f11])).
% 60.76/9.51 thf(f36,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((sP0 @ X0))) | ($true != ((X0 @ (sK3 @ X0) @ (sK2 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f11])).
% 60.76/9.51 thf(f37,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((sP0 @ X0))) | ($true != ((X0 @ (sK4 @ X0) @ (sK1 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f11])).
% 60.76/9.51 thf(f38,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((sP0 @ X0))) | ($true != ((X0 @ (sK4 @ X0) @ (sK2 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f11])).
% 60.76/9.51 thf(f39,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((sP0 @ X0))) | ($true != ((X0 @ (sK4 @ X0) @ (sK3 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f11])).
% 60.76/9.51 thf(f40,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((sP0 @ X0))) | ($true != ((X0 @ (sK5 @ X0) @ (sK1 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f11])).
% 60.76/9.51 thf(f41,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((sP0 @ X0))) | ($true != ((X0 @ (sK5 @ X0) @ (sK2 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f11])).
% 60.76/9.51 thf(f42,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((sP0 @ X0))) | ($true != ((X0 @ (sK5 @ X0) @ (sK3 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f11])).
% 60.76/9.51 thf(f43,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((sP0 @ X0))) | ($true != ((X0 @ (sK5 @ X0) @ (sK4 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f11])).
% 60.76/9.51 thf(f44,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true = ((X0 @ (sK13 @ X0) @ (sK14 @ X0)))) | ($true = ((sK12 @ X0 @ (sK10 @ X0)))) | ($true = ((sP0 @ X0)))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f13])).
% 60.76/9.51 thf(f45,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((X0 @ (sK14 @ X0) @ (sK13 @ X0)))) | ($true = ((sK12 @ X0 @ (sK10 @ X0)))) | ($true = ((sP0 @ X0)))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f13])).
% 60.76/9.51 thf(f46,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((sK12 @ X0 @ (sK11 @ X0)))) | ($true = ((sP0 @ X0))) | ($true = ((X0 @ (sK13 @ X0) @ (sK14 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f13])).
% 60.76/9.51 thf(f47,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((sK12 @ X0 @ (sK11 @ X0)))) | ($true = ((sP0 @ X0))) | ($true != ((X0 @ (sK14 @ X0) @ (sK13 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f13])).
% 60.76/9.51 thf(f48,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true = ((X0 @ (sK11 @ X0) @ (sK10 @ X0)))) | ($true = ((sP0 @ X0))) | ($true = ((X0 @ (sK13 @ X0) @ (sK14 @ X0))))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f13])).
% 60.76/9.51 thf(f49,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((X0 @ (sK14 @ X0) @ (sK13 @ X0)))) | ($true = ((X0 @ (sK11 @ X0) @ (sK10 @ X0)))) | ($true = ((sP0 @ X0)))) )),
% 60.76/9.51 inference(cnf_transformation,[],[f13])).
% 60.76/9.51 thf(f51,definition,(
% 60.76/9.51 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 60.76/9.51 introduced(theory,[fool_exhaustiveness_axiom])).
% 60.76/9.51 thf(f59,plain,(
% 60.76/9.51 ($true = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ($true = ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))),
% 60.76/9.51 inference(primitive_instantiation,[],[f44])).
% 60.76/9.51 thf(f87,plain,(
% 60.76/9.51 ($true = (((sK13 @ =) = (sK14 @ =)))) | ($true = ((sK12 @ = @ (sK10 @ =)))) | ($true = ((sP0 @ =)))),
% 60.76/9.51 inference(beta-eta_normalization,[],[f59])).
% 60.76/9.51 thf(f88,plain,(
% 60.76/9.51 (((sK14 @ =)) = ((sK13 @ =))) | ($true = ((sK12 @ = @ (sK10 @ =)))) | ($true = ((sP0 @ =)))),
% 60.76/9.51 inference(equality_proxy_clausification,[],[f87])).
% 60.76/9.51 thf(f112,definition,(
% 60.76/9.51 spl15_6 <=> ($true = ((sP0 @ =)))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition])).
% 60.76/9.51 thf(f113,plain,(
% 60.76/9.51 ($true != ((sP0 @ =))) | spl15_6),
% 60.76/9.51 inference(avatar_component_clause,[],[f112])).
% 60.76/9.51 thf(f114,plain,(
% 60.76/9.51 ($true = ((sP0 @ =))) | ~spl15_6),
% 60.76/9.51 inference(avatar_component_clause,[],[f112])).
% 60.76/9.51 thf(f116,definition,(
% 60.76/9.51 spl15_7 <=> ($true = ((sK12 @ = @ (sK10 @ =))))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition])).
% 60.76/9.51 thf(f117,plain,(
% 60.76/9.51 ($true != ((sK12 @ = @ (sK10 @ =)))) | spl15_7),
% 60.76/9.51 inference(avatar_component_clause,[],[f116])).
% 60.76/9.51 thf(f118,plain,(
% 60.76/9.51 ($true = ((sK12 @ = @ (sK10 @ =)))) | ~spl15_7),
% 60.76/9.51 inference(avatar_component_clause,[],[f116])).
% 60.76/9.51 thf(f120,definition,(
% 60.76/9.51 spl15_8 <=> (((sK14 @ =)) = ((sK13 @ =)))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_8])],[avatar_definition])).
% 60.76/9.51 thf(f121,plain,(
% 60.76/9.51 (((sK14 @ =)) != ((sK13 @ =))) | spl15_8),
% 60.76/9.51 inference(avatar_component_clause,[],[f120])).
% 60.76/9.51 thf(f122,plain,(
% 60.76/9.51 (((sK14 @ =)) = ((sK13 @ =))) | ~spl15_8),
% 60.76/9.51 inference(avatar_component_clause,[],[f120])).
% 60.76/9.51 thf(f123,plain,(
% 60.76/9.51 spl15_6 | spl15_7 | spl15_8),
% 60.76/9.51 inference(avatar_split_clause,[],[f88,f120,f116,f112])).
% 60.76/9.51 thf(f130,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != $true) | ($true = ((sK12 @ X0 @ (sK10 @ X0)))) | ($true = ((sP0 @ X0))) | (((X0 @ (sK14 @ X0) @ (sK13 @ X0))) = $false)) )),
% 60.76/9.51 inference(constrained_superposition,[],[f45,f51])).
% 60.76/9.51 thf(f143,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true = ((sK12 @ X0 @ (sK10 @ X0)))) | ($true = ((sP0 @ X0))) | (((X0 @ (sK14 @ X0) @ (sK13 @ X0))) = $false)) )),
% 60.76/9.51 inference(trivial_inequality_removal,[],[f130])).
% 60.76/9.51 thf(f167,definition,(
% 60.76/9.51 spl15_12 <=> ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true = ((sK12 @ X0 @ (sK10 @ X0)))) | (((X0 @ (sK14 @ X0) @ (sK13 @ X0))) = $false) | ($true = ((sP0 @ X0))))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_12])],[avatar_definition])).
% 60.76/9.51 thf(f168,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK14 @ X0) @ (sK13 @ X0))) = $false) | ($true = ((sK12 @ X0 @ (sK10 @ X0)))) | ($true = ((sP0 @ X0)))) ) | ~spl15_12),
% 60.76/9.51 inference(avatar_component_clause,[],[f167])).
% 60.76/9.51 thf(f170,plain,(
% 60.76/9.51 spl15_12),
% 60.76/9.51 inference(avatar_split_clause,[],[f143,f167])).
% 60.76/9.51 thf(f487,plain,(
% 60.76/9.51 ($true = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) | ($true = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))))),
% 60.76/9.51 inference(primitive_instantiation,[],[f48])).
% 60.76/9.51 thf(f491,plain,(
% 60.76/9.51 ( ! [X1 : (($o > $o) > ($o > $o) > $o)] : (($true = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))))) | ($true = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))))))) )),
% 60.76/9.51 inference(primitive_instantiation,[],[f48])).
% 60.76/9.51 thf(f561,plain,(
% 60.76/9.51 ( ! [X1 : (($o > $o) > ($o > $o) > $o)] : (($true = ((~ (X1 @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))))) | ($true = ((~ (X1 @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))))) )),
% 60.76/9.51 inference(beta-eta_normalization,[],[f491])).
% 60.76/9.51 thf(f562,plain,(
% 60.76/9.51 ( ! [X1 : (($o > $o) > ($o > $o) > $o)] : (($false = ((X1 @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))))) | ($true = ((~ (X1 @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))))) )),
% 60.76/9.51 inference(not_proxy_clausification,[],[f561])).
% 60.76/9.51 thf(f563,plain,(
% 60.76/9.51 ( ! [X1 : (($o > $o) > ($o > $o) > $o)] : (($false = ((X1 @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))))) | ($false = ((X1 @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))))))) )),
% 60.76/9.51 inference(not_proxy_clausification,[],[f562])).
% 60.76/9.51 thf(f574,plain,(
% 60.76/9.51 ($true = (((sK11 @ =) = (sK10 @ =)))) | ($true = ((sP0 @ =))) | ($true = (((sK13 @ =) = (sK14 @ =))))),
% 60.76/9.51 inference(beta-eta_normalization,[],[f487])).
% 60.76/9.51 thf(f575,plain,(
% 60.76/9.51 (((sK10 @ =)) = ((sK11 @ =))) | ($true = ((sP0 @ =))) | ($true = (((sK13 @ =) = (sK14 @ =))))),
% 60.76/9.51 inference(equality_proxy_clausification,[],[f574])).
% 60.76/9.51 thf(f576,plain,(
% 60.76/9.51 (((sK10 @ =)) = ((sK11 @ =))) | ($true = ((sP0 @ =))) | (((sK14 @ =)) = ((sK13 @ =)))),
% 60.76/9.51 inference(equality_proxy_clausification,[],[f575])).
% 60.76/9.51 thf(f786,plain,(
% 60.76/9.51 ( ! [X1 : (($o > $o) > ($o > $o) > $o)] : (($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))) | ($true = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))) )),
% 60.76/9.51 inference(primitive_instantiation,[],[f49])).
% 60.76/9.51 thf(f788,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != $true) | ($true = ((X0 @ (sK11 @ X0) @ (sK10 @ X0)))) | ($true = ((sP0 @ X0))) | (((X0 @ (sK14 @ X0) @ (sK13 @ X0))) = $false)) )),
% 60.76/9.51 inference(constrained_superposition,[],[f49,f51])).
% 60.76/9.51 thf(f836,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true = ((X0 @ (sK11 @ X0) @ (sK10 @ X0)))) | ($true = ((sP0 @ X0))) | (((X0 @ (sK14 @ X0) @ (sK13 @ X0))) = $false)) )),
% 60.76/9.51 inference(trivial_inequality_removal,[],[f788])).
% 60.76/9.51 thf(f838,plain,(
% 60.76/9.51 ( ! [X1 : (($o > $o) > ($o > $o) > $o)] : (($true != ((~ (X1 @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))))))) | ($true = ((~ (X1 @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))) )),
% 60.76/9.51 inference(beta-eta_normalization,[],[f786])).
% 60.76/9.51 thf(f839,plain,(
% 60.76/9.51 ( ! [X1 : (($o > $o) > ($o > $o) > $o)] : (($true = ((X1 @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))) | ($true = ((~ (X1 @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))) )),
% 60.76/9.51 inference(not_proxy_clausification,[],[f838])).
% 60.76/9.51 thf(f840,plain,(
% 60.76/9.51 ( ! [X1 : (($o > $o) > ($o > $o) > $o)] : (($false = ((X1 @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))) | ($true = ((X1 @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1)))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ (X1 @ Y0 @ Y1))))))))) )),
% 60.76/9.51 inference(not_proxy_clausification,[],[f839])).
% 60.76/9.51 thf(f855,definition,(
% 60.76/9.51 spl15_23 <=> ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true = ((X0 @ (sK11 @ X0) @ (sK10 @ X0)))) | (((X0 @ (sK14 @ X0) @ (sK13 @ X0))) = $false) | ($true = ((sP0 @ X0))))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_23])],[avatar_definition])).
% 60.76/9.51 thf(f856,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true = ((X0 @ (sK11 @ X0) @ (sK10 @ X0)))) | (((X0 @ (sK14 @ X0) @ (sK13 @ X0))) = $false) | ($true = ((sP0 @ X0)))) ) | ~spl15_23),
% 60.76/9.51 inference(avatar_component_clause,[],[f855])).
% 60.76/9.51 thf(f863,plain,(
% 60.76/9.51 spl15_23),
% 60.76/9.51 inference(avatar_split_clause,[],[f836,f855])).
% 60.76/9.51 thf(f891,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((X0 @ (sK14 @ X0) @ (sK13 @ X0)))) | (((X0 @ (sK14 @ X0) @ (sK13 @ X0))) = $false) | ($true = ((sP0 @ X0))) | (((X0 @ (sK11 @ X0) @ (sK10 @ X0))) != $false)) ) | ~spl15_23),
% 60.76/9.51 inference(equality_factoring,[],[f856])).
% 60.76/9.51 thf(f969,plain,(
% 60.76/9.51 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK11 @ X0) @ (sK10 @ X0))) != $false) | ($true = ((sP0 @ X0))) | (((X0 @ (sK14 @ X0) @ (sK13 @ X0))) = $false)) ) | ~spl15_23),
% 60.76/9.51 inference(forward_subsumption_resolution,[],[f891,f51])).
% 60.76/9.51 thf(f3109,plain,(
% 60.76/9.51 ($false = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ($true = ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) | ~spl15_12),
% 60.76/9.51 inference(primitive_instantiation,[],[f168])).
% 60.76/9.51 thf(f3337,plain,(
% 60.76/9.51 ($false = (((sK14 @ =) = (sK13 @ =)))) | ($true = ((sK12 @ = @ (sK10 @ =)))) | ($true = ((sP0 @ =))) | ~spl15_12),
% 60.76/9.51 inference(beta-eta_normalization,[],[f3109])).
% 60.76/9.51 thf(f3338,plain,(
% 60.76/9.51 (((sK14 @ =)) != ((sK13 @ =))) | ($true = ((sK12 @ = @ (sK10 @ =)))) | ($true = ((sP0 @ =))) | ~spl15_12),
% 60.76/9.51 inference(equality_proxy_clausification,[],[f3337])).
% 60.76/9.51 thf(f6603,plain,(
% 60.76/9.51 ($false != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) | ($false = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ~spl15_23),
% 60.76/9.51 inference(primitive_instantiation,[],[f969])).
% 60.76/9.51 thf(f6845,plain,(
% 60.76/9.51 ($false != (((sK11 @ =) = (sK10 @ =)))) | ($true = ((sP0 @ =))) | ($false = (((sK14 @ =) = (sK13 @ =)))) | ~spl15_23),
% 60.76/9.51 inference(beta-eta_normalization,[],[f6603])).
% 60.76/9.51 thf(f6846,plain,(
% 60.76/9.51 (((sK10 @ =)) = ((sK11 @ =))) | ($true = ((sP0 @ =))) | ($false = (((sK14 @ =) = (sK13 @ =)))) | ~spl15_23),
% 60.76/9.51 inference(equality_proxy_clausification,[],[f6845])).
% 60.76/9.51 thf(f6847,plain,(
% 60.76/9.51 (((sK10 @ =)) = ((sK11 @ =))) | ($true = ((sP0 @ =))) | (((sK14 @ =)) != ((sK13 @ =))) | ~spl15_23),
% 60.76/9.51 inference(equality_proxy_clausification,[],[f6846])).
% 60.76/9.51 thf(f7693,plain,(
% 60.76/9.51 ($true != $true) | ($true != (((sK2 @ =) = (sK1 @ =)))) | ~spl15_6),
% 60.76/9.51 inference(constrained_superposition,[],[f34,f114])).
% 60.76/9.51 thf(f7711,plain,(
% 60.76/9.51 ($true != $true) | (((sK1 @ =)) != ((sK2 @ =))) | ~spl15_6),
% 60.76/9.51 inference(equality_proxy_clausification,[],[f7693])).
% 60.76/9.51 thf(f7712,plain,(
% 60.76/9.51 (((sK1 @ =)) != ((sK2 @ =))) | ~spl15_6),
% 60.76/9.51 inference(trivial_inequality_removal,[],[f7711])).
% 60.76/9.51 thf(f7721,plain,(
% 60.76/9.51 (((sK1 @ = @ sK18)) != ((sK2 @ = @ sK18))) | ~spl15_6),
% 60.76/9.51 inference(negative_extensionality,[],[f7712])).
% 60.76/9.51 thf(f7722,plain,(
% 60.76/9.51 ($true = ((sK1 @ = @ sK18))) | ($true = ((sK2 @ = @ sK18))) | ~spl15_6),
% 60.76/9.51 inference(xor_proxy_clausification,[],[f7721])).
% 60.76/9.51 thf(f7723,plain,(
% 60.76/9.51 ($false = ((sK1 @ = @ sK18))) | ($false = ((sK2 @ = @ sK18))) | ~spl15_6),
% 60.76/9.51 inference(xor_proxy_clausification,[],[f7721])).
% 60.76/9.51 thf(f7725,definition,(
% 60.76/9.51 spl15_70 <=> ($false = ((sK2 @ = @ sK18)))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_70])],[avatar_definition])).
% 60.76/9.51 thf(f7726,plain,(
% 60.76/9.51 ($false != ((sK2 @ = @ sK18))) | spl15_70),
% 60.76/9.51 inference(avatar_component_clause,[],[f7725])).
% 60.76/9.51 thf(f7727,plain,(
% 60.76/9.51 ($false = ((sK2 @ = @ sK18))) | ~spl15_70),
% 60.76/9.51 inference(avatar_component_clause,[],[f7725])).
% 60.76/9.51 thf(f7729,definition,(
% 60.76/9.51 spl15_71 <=> ($false = ((sK1 @ = @ sK18)))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_71])],[avatar_definition])).
% 60.76/9.51 thf(f7730,plain,(
% 60.76/9.51 ($false != ((sK1 @ = @ sK18))) | spl15_71),
% 60.76/9.51 inference(avatar_component_clause,[],[f7729])).
% 60.76/9.51 thf(f7731,plain,(
% 60.76/9.51 ($false = ((sK1 @ = @ sK18))) | ~spl15_71),
% 60.76/9.51 inference(avatar_component_clause,[],[f7729])).
% 60.76/9.51 thf(f7732,plain,(
% 60.76/9.51 spl15_70 | spl15_71 | ~spl15_6),
% 60.76/9.51 inference(avatar_split_clause,[],[f7723,f112,f7729,f7725])).
% 60.76/9.51 thf(f7734,definition,(
% 60.76/9.51 spl15_72 <=> ($true = ((sK2 @ = @ sK18)))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_72])],[avatar_definition])).
% 60.76/9.51 thf(f7736,plain,(
% 60.76/9.51 ($true = ((sK2 @ = @ sK18))) | ~spl15_72),
% 60.76/9.51 inference(avatar_component_clause,[],[f7734])).
% 60.76/9.51 thf(f7738,definition,(
% 60.76/9.51 spl15_73 <=> ($true = ((sK1 @ = @ sK18)))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_73])],[avatar_definition])).
% 60.76/9.51 thf(f7739,plain,(
% 60.76/9.51 ($true != ((sK1 @ = @ sK18))) | spl15_73),
% 60.76/9.51 inference(avatar_component_clause,[],[f7738])).
% 60.76/9.51 thf(f7740,plain,(
% 60.76/9.51 ($true = ((sK1 @ = @ sK18))) | ~spl15_73),
% 60.76/9.51 inference(avatar_component_clause,[],[f7738])).
% 60.76/9.51 thf(f7741,plain,(
% 60.76/9.51 spl15_72 | spl15_73 | ~spl15_6),
% 60.76/9.51 inference(avatar_split_clause,[],[f7722,f112,f7738,f7734])).
% 60.76/9.51 thf(f7744,plain,(
% 60.76/9.51 (((sK10 @ =)) = ((sK11 @ =))) | (((sK14 @ =)) = ((sK13 @ =))) | spl15_6),
% 60.76/9.51 inference(forward_subsumption_resolution,[],[f576,f113])).
% 60.76/9.51 thf(f7755,plain,(
% 60.76/9.51 (((sK10 @ =)) = ((sK11 @ =))) | (((sK14 @ =)) != ((sK13 @ =))) | (spl15_6 | ~spl15_23)),
% 60.76/9.51 inference(forward_subsumption_resolution,[],[f6847,f113])).
% 60.76/9.51 thf(f7763,definition,(
% 60.76/9.51 spl15_75 <=> (((sK10 @ =)) = ((sK11 @ =)))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_75])],[avatar_definition])).
% 60.76/9.51 thf(f7765,plain,(
% 60.76/9.51 (((sK10 @ =)) = ((sK11 @ =))) | ~spl15_75),
% 60.76/9.51 inference(avatar_component_clause,[],[f7763])).
% 60.76/9.51 thf(f7766,plain,(
% 60.76/9.51 spl15_8 | spl15_75 | spl15_6),
% 60.76/9.51 inference(avatar_split_clause,[],[f7744,f112,f7763,f120])).
% 60.76/9.51 thf(f7777,plain,(
% 60.76/9.51 ~spl15_8 | spl15_75 | spl15_6 | ~spl15_23),
% 60.76/9.51 inference(avatar_split_clause,[],[f7755,f855,f112,f7763,f120])).
% 60.76/9.51 thf(f7907,plain,(
% 60.76/9.51 ($true != ((sK12 @ = @ (sK10 @ =)))) | ($true = ((sP0 @ =))) | ($true != (((sK14 @ =) = (sK13 @ =)))) | ~spl15_75),
% 60.76/9.51 inference(constrained_superposition,[],[f47,f7765])).
% 60.76/9.51 thf(f7908,plain,(
% 60.76/9.51 ($true != ((sK12 @ = @ (sK10 @ =)))) | ($true = ((sP0 @ =))) | ($true = (((sK13 @ =) = (sK14 @ =)))) | ~spl15_75),
% 60.76/9.51 inference(constrained_superposition,[],[f46,f7765])).
% 60.76/9.51 thf(f7909,plain,(
% 60.76/9.51 ($true != ((sK12 @ = @ (sK10 @ =)))) | ($true = ((sP0 @ =))) | (((sK14 @ =)) = ((sK13 @ =))) | ~spl15_75),
% 60.76/9.51 inference(equality_proxy_clausification,[],[f7908])).
% 60.76/9.51 thf(f7910,plain,(
% 60.76/9.51 ($true != ((sK12 @ = @ (sK10 @ =)))) | ($true = ((sP0 @ =))) | (((sK14 @ =)) != ((sK13 @ =))) | ~spl15_75),
% 60.76/9.51 inference(equality_proxy_clausification,[],[f7907])).
% 60.76/9.51 thf(f7919,plain,(
% 60.76/9.51 ($true = ((sP0 @ =))) | (((sK14 @ =)) != ((sK13 @ =))) | (~spl15_7 | ~spl15_75)),
% 60.76/9.51 inference(forward_subsumption_resolution,[],[f7910,f118])).
% 60.76/9.51 thf(f7920,plain,(
% 60.76/9.51 (((sK14 @ =)) != ((sK13 @ =))) | (spl15_6 | ~spl15_7 | ~spl15_75)),
% 60.76/9.51 inference(forward_subsumption_resolution,[],[f7919,f113])).
% 60.76/9.51 thf(f7925,plain,(
% 60.76/9.51 ($true = ((sK12 @ = @ (sK10 @ =)))) | ($true = ((sP0 @ =))) | (~spl15_8 | ~spl15_12)),
% 60.76/9.51 inference(forward_subsumption_resolution,[],[f3338,f122])).
% 60.76/9.51 thf(f7930,plain,(
% 60.76/9.51 ($true = ((sP0 @ =))) | (spl15_7 | ~spl15_8 | ~spl15_12)),
% 60.76/9.51 inference(forward_subsumption_resolution,[],[f7925,f117])).
% 60.76/9.51 thf(f7939,plain,(
% 60.76/9.51 $false | (spl15_6 | spl15_7 | ~spl15_8 | ~spl15_12)),
% 60.76/9.51 inference(forward_subsumption_resolution,[],[f7930,f113])).
% 60.76/9.51 thf(f7940,plain,(
% 60.76/9.51 spl15_6 | spl15_7 | ~spl15_8 | ~spl15_12),
% 60.76/9.51 inference(avatar_contradiction_clause,[],[f7939])).
% 60.76/9.51 thf(f8009,plain,(
% 60.76/9.51 ($false = ((sK2 @ = @ $true))) | ($false = sK18) | ~spl15_70),
% 60.76/9.51 inference(constrained_superposition,[],[f7727,f51])).
% 60.76/9.51 thf(f8057,definition,(
% 60.76/9.51 spl15_80 <=> ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))))))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_80])],[avatar_definition])).
% 60.76/9.51 thf(f8059,plain,(
% 60.76/9.51 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | ~spl15_80),
% 60.76/9.51 inference(avatar_component_clause,[],[f8057])).
% 60.76/9.51 thf(f8065,definition,(
% 60.76/9.51 spl15_82 <=> ($false = ((sK2 @ = @ $false)))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_82])],[avatar_definition])).
% 60.76/9.51 thf(f8066,plain,(
% 60.76/9.51 ($false != ((sK2 @ = @ $false))) | spl15_82),
% 60.76/9.51 inference(avatar_component_clause,[],[f8065])).
% 60.76/9.51 thf(f8067,plain,(
% 60.76/9.51 ($false = ((sK2 @ = @ $false))) | ~spl15_82),
% 60.76/9.51 inference(avatar_component_clause,[],[f8065])).
% 60.76/9.51 thf(f8075,definition,(
% 60.76/9.51 spl15_84 <=> ($true = sK18)),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_84])],[avatar_definition])).
% 60.76/9.51 thf(f8076,plain,(
% 60.76/9.51 ($true != sK18) | spl15_84),
% 60.76/9.51 inference(avatar_component_clause,[],[f8075])).
% 60.76/9.51 thf(f8077,plain,(
% 60.76/9.51 ($true = sK18) | ~spl15_84),
% 60.76/9.51 inference(avatar_component_clause,[],[f8075])).
% 60.76/9.51 thf(f8079,definition,(
% 60.76/9.51 spl15_85 <=> ($false = ((sK2 @ = @ $true)))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_85])],[avatar_definition])).
% 60.76/9.51 thf(f8080,plain,(
% 60.76/9.51 ($false != ((sK2 @ = @ $true))) | spl15_85),
% 60.76/9.51 inference(avatar_component_clause,[],[f8079])).
% 60.76/9.51 thf(f8081,plain,(
% 60.76/9.51 ($false = ((sK2 @ = @ $true))) | ~spl15_85),
% 60.76/9.51 inference(avatar_component_clause,[],[f8079])).
% 60.76/9.51 thf(f8084,definition,(
% 60.76/9.51 spl15_86 <=> ($false = sK18)),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_86])],[avatar_definition])).
% 60.76/9.51 thf(f8085,plain,(
% 60.76/9.51 ($false != sK18) | spl15_86),
% 60.76/9.51 inference(avatar_component_clause,[],[f8084])).
% 60.76/9.51 thf(f8086,plain,(
% 60.76/9.51 ($false = sK18) | ~spl15_86),
% 60.76/9.51 inference(avatar_component_clause,[],[f8084])).
% 60.76/9.51 thf(f8090,plain,(
% 60.76/9.51 spl15_86 | spl15_85 | ~spl15_70),
% 60.76/9.51 inference(avatar_split_clause,[],[f8009,f7725,f8079,f8084])).
% 60.76/9.51 thf(f8103,plain,(
% 60.76/9.51 ($true != $true) | ($true != (((sK3 @ =) = (sK1 @ =)))) | ~spl15_6),
% 60.76/9.51 inference(constrained_superposition,[],[f35,f114])).
% 60.76/9.51 thf(f8104,plain,(
% 60.76/9.51 ($true != $true) | (((sK1 @ =)) != ((sK3 @ =))) | ~spl15_6),
% 60.76/9.51 inference(equality_proxy_clausification,[],[f8103])).
% 60.76/9.51 thf(f8105,plain,(
% 60.76/9.51 (((sK1 @ =)) != ((sK3 @ =))) | ~spl15_6),
% 60.76/9.51 inference(trivial_inequality_removal,[],[f8104])).
% 60.76/9.51 thf(f8126,plain,(
% 60.76/9.51 ($true = ((sK1 @ = @ $true))) | ($false = sK18) | ~spl15_73),
% 60.76/9.51 inference(constrained_superposition,[],[f7740,f51])).
% 60.76/9.51 thf(f8161,definition,(
% 60.76/9.51 spl15_87 <=> ($true = ((sK1 @ = @ $false)))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_87])],[avatar_definition])).
% 60.76/9.51 thf(f8162,plain,(
% 60.76/9.51 ($true != ((sK1 @ = @ $false))) | spl15_87),
% 60.76/9.51 inference(avatar_component_clause,[],[f8161])).
% 60.76/9.51 thf(f8163,plain,(
% 60.76/9.51 ($true = ((sK1 @ = @ $false))) | ~spl15_87),
% 60.76/9.51 inference(avatar_component_clause,[],[f8161])).
% 60.76/9.51 thf(f8167,definition,(
% 60.76/9.51 spl15_88 <=> ($true = ((sK1 @ = @ $true)))),
% 60.76/9.51 introduced(definition,[new_symbols(definition,[spl15_88])],[avatar_definition])).
% 60.76/9.51 thf(f8168,plain,(
% 60.76/9.51 ($true != ((sK1 @ = @ $true))) | spl15_88),
% 60.76/9.51 inference(avatar_component_clause,[],[f8167])).
% 60.76/9.51 thf(f8169,plain,(
% 60.76/9.51 ($true = ((sK1 @ = @ $true))) | ~spl15_88),
% 60.76/9.51 inference(avatar_component_clause,[],[f8167])).
% 60.76/9.51 thf(f8174,plain,(
% 60.76/9.51 spl15_86 | spl15_88 | ~spl15_73),
% 60.76/9.51 inference(avatar_split_clause,[],[f8126,f7738,f8167,f8084])).
% 60.76/9.51 thf(f8454,plain,(
% 60.76/9.51 ($false != ((sK2 @ = @ $false))) | (spl15_70 | ~spl15_86)),
% 60.76/9.51 inference(forward_demodulation,[],[f7726,f8086])).
% 60.76/9.51 thf(f8456,plain,(
% 60.76/9.51 $false | (spl15_70 | ~spl15_82 | ~spl15_86)),
% 60.76/9.51 inference(forward_subsumption_resolution,[],[f8454,f8067])).
% 60.76/9.51 thf(f8457,plain,(
% 60.76/9.51 spl15_70 | ~spl15_82 | ~spl15_86),
% 60.76/9.51 inference(avatar_contradiction_clause,[],[f8456])).
% 60.76/9.51 thf(f8471,plain,(
% 60.76/9.51 ($true = $false) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | ($true = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))))))) | ~spl15_86),
% 60.76/9.51 inference(constrained_superposition,[],[f48,f8086])).
% 60.76/9.51 thf(f8473,plain,(
% 60.76/9.51 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | ($true = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))))))) | ~spl15_86),
% 60.76/9.51 inference(trivial_inequality_removal,[],[f8471])).
% 60.76/9.51 thf(f8474,plain,(
% 60.76/9.51 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | ($true = sK18) | ~spl15_86),
% 60.76/9.51 inference(beta-eta_normalization,[],[f8473])).
% 60.76/9.51 thf(f8490,plain,(
% 60.76/9.51 ($true = $false) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | ~spl15_86),
% 60.76/9.51 inference(forward_demodulation,[],[f8474,f8086])).
% 60.76/9.51 thf(f8491,plain,(
% 60.76/9.51 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | ~spl15_86),
% 60.76/9.51 inference(trivial_inequality_removal,[],[f8490])).
% 60.76/9.51 thf(f8494,plain,(
% 60.76/9.51 spl15_80 | ~spl15_86),
% 60.76/9.51 inference(avatar_split_clause,[],[f8491,f8084,f8057])).
% 60.76/9.51 thf(f8507,plain,(
% 60.76/9.51 ($true != $true) | ($true != (((sK3 @ =) = (sK2 @ =)))) | ~spl15_6),
% 60.76/9.51 inference(constrained_superposition,[],[f36,f114])).
% 60.76/9.51 thf(f8508,plain,(
% 60.76/9.51 ($true != $true) | (((sK2 @ =)) != ((sK3 @ =))) | ~spl15_6),
% 60.76/9.51 inference(equality_proxy_clausification,[],[f8507])).
% 60.76/9.51 thf(f8509,plain,(
% 60.76/9.51 (((sK2 @ =)) != ((sK3 @ =))) | ~spl15_6),
% 60.76/9.51 inference(trivial_inequality_removal,[],[f8508])).
% 60.76/9.51 thf(f8545,plain,(
% 60.76/9.52 ($false != ((sK2 @ = @ $true))) | ($false = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | (~spl15_23 | spl15_70)),
% 60.76/9.52 inference(constrained_superposition,[],[f7726,f856])).
% 60.76/9.52 thf(f8565,plain,(
% 60.76/9.52 ($false != ((sK2 @ = @ $true))) | ($false = sK18) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | (~spl15_23 | spl15_70)),
% 60.76/9.52 inference(beta-eta_normalization,[],[f8545])).
% 60.76/9.52 thf(f8566,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $true))) | ($false = sK18) | ~spl15_71),
% 60.76/9.52 inference(constrained_superposition,[],[f7731,f51])).
% 60.76/9.52 thf(f8569,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $true))) | ($false = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | (~spl15_23 | ~spl15_71)),
% 60.76/9.52 inference(constrained_superposition,[],[f7731,f856])).
% 60.76/9.52 thf(f8578,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_71 | ~spl15_73)),
% 60.76/9.52 inference(constrained_superposition,[],[f7731,f7740])).
% 60.76/9.52 thf(f8606,plain,(
% 60.76/9.52 $false | (~spl15_71 | ~spl15_73)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f8578])).
% 60.76/9.52 thf(f8607,plain,(
% 60.76/9.52 ~spl15_71 | ~spl15_73),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f8606])).
% 60.76/9.52 thf(f8618,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $true))) | ($false = sK18) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | (~spl15_23 | ~spl15_71)),
% 60.76/9.52 inference(beta-eta_normalization,[],[f8569])).
% 60.76/9.52 thf(f8621,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $true))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | (~spl15_23 | ~spl15_71 | spl15_86)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f8618,f8085])).
% 60.76/9.52 thf(f8622,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $true))) | (~spl15_71 | spl15_86)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f8566,f8085])).
% 60.76/9.52 thf(f8624,plain,(
% 60.76/9.52 ($true = $false) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | (~spl15_23 | ~spl15_71 | spl15_86 | ~spl15_88)),
% 60.76/9.52 inference(forward_demodulation,[],[f8621,f8169])).
% 60.76/9.52 thf(f8625,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | (~spl15_23 | ~spl15_71 | spl15_86 | ~spl15_88)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f8624])).
% 60.76/9.52 thf(f8626,plain,(
% 60.76/9.52 spl15_80 | ~spl15_23 | ~spl15_71 | spl15_86 | ~spl15_88),
% 60.76/9.52 inference(avatar_split_clause,[],[f8625,f8167,f8084,f7729,f855,f8057])).
% 60.76/9.52 thf(f8629,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $true))) | ($false = sK18) | ~spl15_72),
% 60.76/9.52 inference(constrained_superposition,[],[f7736,f51])).
% 60.76/9.52 thf(f8632,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $true))) | ($false = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | (~spl15_23 | ~spl15_72)),
% 60.76/9.52 inference(constrained_superposition,[],[f7736,f856])).
% 60.76/9.52 thf(f8663,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $true))) | ($false = sK18) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | (~spl15_23 | ~spl15_72)),
% 60.76/9.52 inference(beta-eta_normalization,[],[f8632])).
% 60.76/9.52 thf(f8665,definition,(
% 60.76/9.52 spl15_93 <=> ($true = ((sK2 @ = @ $true)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_93])],[avatar_definition])).
% 60.76/9.52 thf(f8667,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $true))) | ~spl15_93),
% 60.76/9.52 inference(avatar_component_clause,[],[f8665])).
% 60.76/9.52 thf(f8669,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $true))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))))) | (~spl15_23 | ~spl15_72 | spl15_86)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f8663,f8085])).
% 60.76/9.52 thf(f8670,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $true))) | (~spl15_72 | spl15_86)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f8629,f8085])).
% 60.76/9.52 thf(f8672,plain,(
% 60.76/9.52 spl15_93 | ~spl15_72 | spl15_86),
% 60.76/9.52 inference(avatar_split_clause,[],[f8670,f8084,f7734,f8665])).
% 60.76/9.52 thf(f8690,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($false != ((sK2 @ = @ X0))) | ($false = X0)) ) | spl15_85),
% 60.76/9.52 inference(constrained_superposition,[],[f8080,f51])).
% 60.76/9.52 thf(f8708,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($false = ((sK1 @ = @ X0))) | ($false = X0)) ) | (~spl15_71 | spl15_86)),
% 60.76/9.52 inference(constrained_superposition,[],[f8622,f51])).
% 60.76/9.52 thf(f8749,plain,(
% 60.76/9.52 ( ! [X0 : $o] : ((((sK2 @ = @ X0)) = X0) | ($false = X0)) ) | ~spl15_93),
% 60.76/9.52 inference(constrained_superposition,[],[f8667,f51])).
% 60.76/9.52 thf(f8776,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($true = ((sK2 @ = @ X0))) | ($false = X0) | ($false = X0)) ) | ~spl15_93),
% 60.76/9.52 inference(iff_proxy_clausification,[],[f8749])).
% 60.76/9.52 thf(f8778,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($true = ((sK2 @ = @ X0))) | ($false = X0)) ) | ~spl15_93),
% 60.76/9.52 inference(duplicate_literal_removal,[],[f8776])).
% 60.76/9.52 thf(f8791,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((sK4 @ =) = (sK1 @ =)))) | ~spl15_6),
% 60.76/9.52 inference(constrained_superposition,[],[f37,f114])).
% 60.76/9.52 thf(f8792,plain,(
% 60.76/9.52 ($true != $true) | (((sK1 @ =)) != ((sK4 @ =))) | ~spl15_6),
% 60.76/9.52 inference(equality_proxy_clausification,[],[f8791])).
% 60.76/9.52 thf(f8793,plain,(
% 60.76/9.52 (((sK1 @ =)) != ((sK4 @ =))) | ~spl15_6),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f8792])).
% 60.76/9.52 thf(f9294,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((sK4 @ =) = (sK2 @ =)))) | ~spl15_6),
% 60.76/9.52 inference(constrained_superposition,[],[f38,f114])).
% 60.76/9.52 thf(f9295,plain,(
% 60.76/9.52 ($true != $true) | (((sK2 @ =)) != ((sK4 @ =))) | ~spl15_6),
% 60.76/9.52 inference(equality_proxy_clausification,[],[f9294])).
% 60.76/9.52 thf(f9296,plain,(
% 60.76/9.52 (((sK2 @ =)) != ((sK4 @ =))) | ~spl15_6),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f9295])).
% 60.76/9.52 thf(f9421,plain,(
% 60.76/9.52 (((sK1 @ = @ sK21)) != ((sK3 @ = @ sK21))) | ~spl15_6),
% 60.76/9.52 inference(negative_extensionality,[],[f8105])).
% 60.76/9.52 thf(f9422,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ sK21))) | ($true = ((sK3 @ = @ sK21))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f9421])).
% 60.76/9.52 thf(f9423,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ sK21))) | ($false = ((sK3 @ = @ sK21))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f9421])).
% 60.76/9.52 thf(f9425,definition,(
% 60.76/9.52 spl15_111 <=> ($false = ((sK3 @ = @ sK21)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_111])],[avatar_definition])).
% 60.76/9.52 thf(f9426,plain,(
% 60.76/9.52 ($false != ((sK3 @ = @ sK21))) | spl15_111),
% 60.76/9.52 inference(avatar_component_clause,[],[f9425])).
% 60.76/9.52 thf(f9427,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ sK21))) | ~spl15_111),
% 60.76/9.52 inference(avatar_component_clause,[],[f9425])).
% 60.76/9.52 thf(f9429,definition,(
% 60.76/9.52 spl15_112 <=> ($false = ((sK1 @ = @ sK21)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_112])],[avatar_definition])).
% 60.76/9.52 thf(f9430,plain,(
% 60.76/9.52 ($false != ((sK1 @ = @ sK21))) | spl15_112),
% 60.76/9.52 inference(avatar_component_clause,[],[f9429])).
% 60.76/9.52 thf(f9431,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ sK21))) | ~spl15_112),
% 60.76/9.52 inference(avatar_component_clause,[],[f9429])).
% 60.76/9.52 thf(f9432,plain,(
% 60.76/9.52 spl15_111 | spl15_112 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f9423,f112,f9429,f9425])).
% 60.76/9.52 thf(f9434,definition,(
% 60.76/9.52 spl15_113 <=> ($true = ((sK3 @ = @ sK21)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_113])],[avatar_definition])).
% 60.76/9.52 thf(f9436,plain,(
% 60.76/9.52 ($true = ((sK3 @ = @ sK21))) | ~spl15_113),
% 60.76/9.52 inference(avatar_component_clause,[],[f9434])).
% 60.76/9.52 thf(f9438,definition,(
% 60.76/9.52 spl15_114 <=> ($true = ((sK1 @ = @ sK21)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_114])],[avatar_definition])).
% 60.76/9.52 thf(f9439,plain,(
% 60.76/9.52 ($true != ((sK1 @ = @ sK21))) | spl15_114),
% 60.76/9.52 inference(avatar_component_clause,[],[f9438])).
% 60.76/9.52 thf(f9440,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ sK21))) | ~spl15_114),
% 60.76/9.52 inference(avatar_component_clause,[],[f9438])).
% 60.76/9.52 thf(f9441,plain,(
% 60.76/9.52 spl15_113 | spl15_114 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f9422,f112,f9438,f9434])).
% 60.76/9.52 thf(f9442,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ $true))) | ($false = sK21) | ~spl15_111),
% 60.76/9.52 inference(constrained_superposition,[],[f9427,f51])).
% 60.76/9.52 thf(f9490,definition,(
% 60.76/9.52 spl15_115 <=> ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21)))))))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_115])],[avatar_definition])).
% 60.76/9.52 thf(f9491,plain,(
% 60.76/9.52 ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21))))))) | spl15_115),
% 60.76/9.52 inference(avatar_component_clause,[],[f9490])).
% 60.76/9.52 thf(f9492,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21))))))) | ~spl15_115),
% 60.76/9.52 inference(avatar_component_clause,[],[f9490])).
% 60.76/9.52 thf(f9498,definition,(
% 60.76/9.52 spl15_117 <=> ($false = ((sK3 @ = @ $false)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_117])],[avatar_definition])).
% 60.76/9.52 thf(f9499,plain,(
% 60.76/9.52 ($false != ((sK3 @ = @ $false))) | spl15_117),
% 60.76/9.52 inference(avatar_component_clause,[],[f9498])).
% 60.76/9.52 thf(f9500,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ $false))) | ~spl15_117),
% 60.76/9.52 inference(avatar_component_clause,[],[f9498])).
% 60.76/9.52 thf(f9508,definition,(
% 60.76/9.52 spl15_119 <=> ($true = sK21)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_119])],[avatar_definition])).
% 60.76/9.52 thf(f9509,plain,(
% 60.76/9.52 ($true != sK21) | spl15_119),
% 60.76/9.52 inference(avatar_component_clause,[],[f9508])).
% 60.76/9.52 thf(f9510,plain,(
% 60.76/9.52 ($true = sK21) | ~spl15_119),
% 60.76/9.52 inference(avatar_component_clause,[],[f9508])).
% 60.76/9.52 thf(f9512,definition,(
% 60.76/9.52 spl15_120 <=> ($false = ((sK3 @ = @ $true)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_120])],[avatar_definition])).
% 60.76/9.52 thf(f9513,plain,(
% 60.76/9.52 ($false != ((sK3 @ = @ $true))) | spl15_120),
% 60.76/9.52 inference(avatar_component_clause,[],[f9512])).
% 60.76/9.52 thf(f9514,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ $true))) | ~spl15_120),
% 60.76/9.52 inference(avatar_component_clause,[],[f9512])).
% 60.76/9.52 thf(f9517,definition,(
% 60.76/9.52 spl15_121 <=> ($false = sK21)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_121])],[avatar_definition])).
% 60.76/9.52 thf(f9518,plain,(
% 60.76/9.52 ($false != sK21) | spl15_121),
% 60.76/9.52 inference(avatar_component_clause,[],[f9517])).
% 60.76/9.52 thf(f9519,plain,(
% 60.76/9.52 ($false = sK21) | ~spl15_121),
% 60.76/9.52 inference(avatar_component_clause,[],[f9517])).
% 60.76/9.52 thf(f9523,plain,(
% 60.76/9.52 spl15_121 | spl15_120 | ~spl15_111),
% 60.76/9.52 inference(avatar_split_clause,[],[f9442,f9425,f9512,f9517])).
% 60.76/9.52 thf(f9527,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ $true))) | ($false = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21)))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21))))))) | (~spl15_23 | ~spl15_114)),
% 60.76/9.52 inference(constrained_superposition,[],[f9440,f856])).
% 60.76/9.52 thf(f9541,plain,(
% 60.76/9.52 ($true = $false) | ($false = sK21) | (~spl15_71 | spl15_86 | ~spl15_114)),
% 60.76/9.52 inference(constrained_superposition,[],[f8708,f9440])).
% 60.76/9.52 thf(f9542,plain,(
% 60.76/9.52 ($false = sK21) | (~spl15_71 | spl15_86 | ~spl15_114)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f9541])).
% 60.76/9.52 thf(f9561,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ $true))) | ($false = sK21) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21))))))) | (~spl15_23 | ~spl15_114)),
% 60.76/9.52 inference(beta-eta_normalization,[],[f9527])).
% 60.76/9.52 thf(f9562,plain,(
% 60.76/9.52 spl15_121 | ~spl15_71 | spl15_86 | ~spl15_114),
% 60.76/9.52 inference(avatar_split_clause,[],[f9542,f9438,f8084,f7729,f9517])).
% 60.76/9.52 thf(f9579,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ $false))) | (~spl15_114 | ~spl15_121)),
% 60.76/9.52 inference(constrained_superposition,[],[f9440,f9519])).
% 60.76/9.52 thf(f9580,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ $false))) | (~spl15_111 | ~spl15_121)),
% 60.76/9.52 inference(constrained_superposition,[],[f9427,f9519])).
% 60.76/9.52 thf(f9598,plain,(
% 60.76/9.52 spl15_117 | ~spl15_111 | ~spl15_121),
% 60.76/9.52 inference(avatar_split_clause,[],[f9580,f9517,f9425,f9498])).
% 60.76/9.52 thf(f9639,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($false = ((sK3 @ = @ X0))) | ($false = X0)) ) | ~spl15_120),
% 60.76/9.52 inference(constrained_superposition,[],[f9514,f51])).
% 60.76/9.52 thf(f9813,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((sK4 @ =) = (sK3 @ =)))) | ~spl15_6),
% 60.76/9.52 inference(constrained_superposition,[],[f39,f114])).
% 60.76/9.52 thf(f9814,plain,(
% 60.76/9.52 ($true != $true) | (((sK3 @ =)) != ((sK4 @ =))) | ~spl15_6),
% 60.76/9.52 inference(equality_proxy_clausification,[],[f9813])).
% 60.76/9.52 thf(f9815,plain,(
% 60.76/9.52 (((sK3 @ =)) != ((sK4 @ =))) | ~spl15_6),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f9814])).
% 60.76/9.52 thf(f9874,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21)))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21))))) @ (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21)))))))) | ~spl15_115),
% 60.76/9.52 inference(constrained_superposition,[],[f39,f9492])).
% 60.76/9.52 thf(f9875,plain,(
% 60.76/9.52 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21)))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21))))) @ (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21)))))))) | ~spl15_115),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f9874])).
% 60.76/9.52 thf(f9876,plain,(
% 60.76/9.52 ($true != sK21) | ~spl15_115),
% 60.76/9.52 inference(beta-eta_normalization,[],[f9875])).
% 60.76/9.52 thf(f9947,plain,(
% 60.76/9.52 (((sK2 @ = @ sK22)) != ((sK3 @ = @ sK22))) | ~spl15_6),
% 60.76/9.52 inference(negative_extensionality,[],[f8509])).
% 60.76/9.52 thf(f9948,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ sK22))) | ($true = ((sK3 @ = @ sK22))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f9947])).
% 60.76/9.52 thf(f9949,plain,(
% 60.76/9.52 ($false = ((sK2 @ = @ sK22))) | ($false = ((sK3 @ = @ sK22))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f9947])).
% 60.76/9.52 thf(f9951,definition,(
% 60.76/9.52 spl15_129 <=> ($false = ((sK3 @ = @ sK22)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_129])],[avatar_definition])).
% 60.76/9.52 thf(f9952,plain,(
% 60.76/9.52 ($false != ((sK3 @ = @ sK22))) | spl15_129),
% 60.76/9.52 inference(avatar_component_clause,[],[f9951])).
% 60.76/9.52 thf(f9953,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ sK22))) | ~spl15_129),
% 60.76/9.52 inference(avatar_component_clause,[],[f9951])).
% 60.76/9.52 thf(f9955,definition,(
% 60.76/9.52 spl15_130 <=> ($false = ((sK2 @ = @ sK22)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_130])],[avatar_definition])).
% 60.76/9.52 thf(f9957,plain,(
% 60.76/9.52 ($false = ((sK2 @ = @ sK22))) | ~spl15_130),
% 60.76/9.52 inference(avatar_component_clause,[],[f9955])).
% 60.76/9.52 thf(f9958,plain,(
% 60.76/9.52 spl15_129 | spl15_130 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f9949,f112,f9955,f9951])).
% 60.76/9.52 thf(f9960,definition,(
% 60.76/9.52 spl15_131 <=> ($true = ((sK3 @ = @ sK22)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_131])],[avatar_definition])).
% 60.76/9.52 thf(f9962,plain,(
% 60.76/9.52 ($true = ((sK3 @ = @ sK22))) | ~spl15_131),
% 60.76/9.52 inference(avatar_component_clause,[],[f9960])).
% 60.76/9.52 thf(f9964,definition,(
% 60.76/9.52 spl15_132 <=> ($true = ((sK2 @ = @ sK22)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_132])],[avatar_definition])).
% 60.76/9.52 thf(f9966,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ sK22))) | ~spl15_132),
% 60.76/9.52 inference(avatar_component_clause,[],[f9964])).
% 60.76/9.52 thf(f9967,plain,(
% 60.76/9.52 spl15_131 | spl15_132 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f9948,f112,f9964,f9960])).
% 60.76/9.52 thf(f9968,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ $true))) | ($false = sK22) | ~spl15_129),
% 60.76/9.52 inference(constrained_superposition,[],[f9953,f51])).
% 60.76/9.52 thf(f10068,plain,(
% 60.76/9.52 (((sK1 @ = @ sK23)) != ((sK4 @ = @ sK23))) | ~spl15_6),
% 60.76/9.52 inference(negative_extensionality,[],[f8793])).
% 60.76/9.52 thf(f10069,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ sK23))) | ($true = ((sK4 @ = @ sK23))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f10068])).
% 60.76/9.52 thf(f10070,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ sK23))) | ($false = ((sK4 @ = @ sK23))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f10068])).
% 60.76/9.52 thf(f10072,definition,(
% 60.76/9.52 spl15_136 <=> ($false = ((sK4 @ = @ sK23)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_136])],[avatar_definition])).
% 60.76/9.52 thf(f10074,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ sK23))) | ~spl15_136),
% 60.76/9.52 inference(avatar_component_clause,[],[f10072])).
% 60.76/9.52 thf(f10076,definition,(
% 60.76/9.52 spl15_137 <=> ($false = ((sK1 @ = @ sK23)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_137])],[avatar_definition])).
% 60.76/9.52 thf(f10078,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ sK23))) | ~spl15_137),
% 60.76/9.52 inference(avatar_component_clause,[],[f10076])).
% 60.76/9.52 thf(f10079,plain,(
% 60.76/9.52 spl15_136 | spl15_137 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f10070,f112,f10076,f10072])).
% 60.76/9.52 thf(f10081,definition,(
% 60.76/9.52 spl15_138 <=> ($true = ((sK4 @ = @ sK23)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_138])],[avatar_definition])).
% 60.76/9.52 thf(f10083,plain,(
% 60.76/9.52 ($true = ((sK4 @ = @ sK23))) | ~spl15_138),
% 60.76/9.52 inference(avatar_component_clause,[],[f10081])).
% 60.76/9.52 thf(f10085,definition,(
% 60.76/9.52 spl15_139 <=> ($true = ((sK1 @ = @ sK23)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_139])],[avatar_definition])).
% 60.76/9.52 thf(f10087,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ sK23))) | ~spl15_139),
% 60.76/9.52 inference(avatar_component_clause,[],[f10085])).
% 60.76/9.52 thf(f10088,plain,(
% 60.76/9.52 spl15_138 | spl15_139 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f10069,f112,f10085,f10081])).
% 60.76/9.52 thf(f10089,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ $true))) | ($false = sK23) | ~spl15_136),
% 60.76/9.52 inference(constrained_superposition,[],[f10074,f51])).
% 60.76/9.52 thf(f10145,definition,(
% 60.76/9.52 spl15_142 <=> ($false = ((sK4 @ = @ $false)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_142])],[avatar_definition])).
% 60.76/9.52 thf(f10146,plain,(
% 60.76/9.52 ($false != ((sK4 @ = @ $false))) | spl15_142),
% 60.76/9.52 inference(avatar_component_clause,[],[f10145])).
% 60.76/9.52 thf(f10147,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ $false))) | ~spl15_142),
% 60.76/9.52 inference(avatar_component_clause,[],[f10145])).
% 60.76/9.52 thf(f10155,definition,(
% 60.76/9.52 spl15_144 <=> ($true = sK23)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_144])],[avatar_definition])).
% 60.76/9.52 thf(f10156,plain,(
% 60.76/9.52 ($true != sK23) | spl15_144),
% 60.76/9.52 inference(avatar_component_clause,[],[f10155])).
% 60.76/9.52 thf(f10157,plain,(
% 60.76/9.52 ($true = sK23) | ~spl15_144),
% 60.76/9.52 inference(avatar_component_clause,[],[f10155])).
% 60.76/9.52 thf(f10159,definition,(
% 60.76/9.52 spl15_145 <=> ($false = ((sK4 @ = @ $true)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_145])],[avatar_definition])).
% 60.76/9.52 thf(f10160,plain,(
% 60.76/9.52 ($false != ((sK4 @ = @ $true))) | spl15_145),
% 60.76/9.52 inference(avatar_component_clause,[],[f10159])).
% 60.76/9.52 thf(f10161,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ $true))) | ~spl15_145),
% 60.76/9.52 inference(avatar_component_clause,[],[f10159])).
% 60.76/9.52 thf(f10164,definition,(
% 60.76/9.52 spl15_146 <=> ($false = sK23)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_146])],[avatar_definition])).
% 60.76/9.52 thf(f10165,plain,(
% 60.76/9.52 ($false != sK23) | spl15_146),
% 60.76/9.52 inference(avatar_component_clause,[],[f10164])).
% 60.76/9.52 thf(f10166,plain,(
% 60.76/9.52 ($false = sK23) | ~spl15_146),
% 60.76/9.52 inference(avatar_component_clause,[],[f10164])).
% 60.76/9.52 thf(f10170,plain,(
% 60.76/9.52 spl15_146 | spl15_145 | ~spl15_136),
% 60.76/9.52 inference(avatar_split_clause,[],[f10089,f10072,f10159,f10164])).
% 60.76/9.52 thf(f10188,plain,(
% 60.76/9.52 ($true = $false) | ($false = sK23) | (~spl15_71 | spl15_86 | ~spl15_139)),
% 60.76/9.52 inference(constrained_superposition,[],[f8708,f10087])).
% 60.76/9.52 thf(f10189,plain,(
% 60.76/9.52 ($false = sK23) | (~spl15_71 | spl15_86 | ~spl15_139)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f10188])).
% 60.76/9.52 thf(f10209,plain,(
% 60.76/9.52 spl15_146 | ~spl15_71 | spl15_86 | ~spl15_139),
% 60.76/9.52 inference(avatar_split_clause,[],[f10189,f10085,f8084,f7729,f10164])).
% 60.76/9.52 thf(f10232,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ $false))) | (~spl15_139 | ~spl15_146)),
% 60.76/9.52 inference(constrained_superposition,[],[f10087,f10166])).
% 60.76/9.52 thf(f10233,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ $false))) | (~spl15_136 | ~spl15_146)),
% 60.76/9.52 inference(constrained_superposition,[],[f10074,f10166])).
% 60.76/9.52 thf(f10251,plain,(
% 60.76/9.52 spl15_142 | ~spl15_136 | ~spl15_146),
% 60.76/9.52 inference(avatar_split_clause,[],[f10233,f10164,f10072,f10145])).
% 60.76/9.52 thf(f10253,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $false))) | (~spl15_137 | ~spl15_146)),
% 60.76/9.52 inference(forward_demodulation,[],[f10078,f10166])).
% 60.76/9.52 thf(f10269,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((sK5 @ =) = (sK1 @ =)))) | ~spl15_6),
% 60.76/9.52 inference(constrained_superposition,[],[f40,f114])).
% 60.76/9.52 thf(f10270,plain,(
% 60.76/9.52 ($true != $true) | (((sK1 @ =)) != ((sK5 @ =))) | ~spl15_6),
% 60.76/9.52 inference(equality_proxy_clausification,[],[f10269])).
% 60.76/9.52 thf(f10271,plain,(
% 60.76/9.52 (((sK1 @ =)) != ((sK5 @ =))) | ~spl15_6),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f10270])).
% 60.76/9.52 thf(f10303,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_87 | ~spl15_137 | ~spl15_146)),
% 60.76/9.52 inference(constrained_superposition,[],[f10253,f8163])).
% 60.76/9.52 thf(f10331,plain,(
% 60.76/9.52 $false | (~spl15_87 | ~spl15_137 | ~spl15_146)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f10303])).
% 60.76/9.52 thf(f10332,plain,(
% 60.76/9.52 ~spl15_87 | ~spl15_137 | ~spl15_146),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f10331])).
% 60.76/9.52 thf(f10356,plain,(
% 60.76/9.52 $false | (spl15_87 | ~spl15_114 | ~spl15_121)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f9579,f8162])).
% 60.76/9.52 thf(f10357,plain,(
% 60.76/9.52 spl15_87 | ~spl15_114 | ~spl15_121),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f10356])).
% 60.76/9.52 thf(f10358,plain,(
% 60.76/9.52 $false | (spl15_87 | ~spl15_139 | ~spl15_146)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f10232,f8162])).
% 60.76/9.52 thf(f10359,plain,(
% 60.76/9.52 spl15_87 | ~spl15_139 | ~spl15_146),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f10358])).
% 60.76/9.52 thf(f10425,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($false = ((sK4 @ = @ X0))) | ($false = X0)) ) | ~spl15_145),
% 60.76/9.52 inference(constrained_superposition,[],[f10161,f51])).
% 60.76/9.52 thf(f10697,plain,(
% 60.76/9.52 (((sK2 @ = @ sK24)) != ((sK4 @ = @ sK24))) | ~spl15_6),
% 60.76/9.52 inference(negative_extensionality,[],[f9296])).
% 60.76/9.52 thf(f10698,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ sK24))) | ($true = ((sK4 @ = @ sK24))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f10697])).
% 60.76/9.52 thf(f10699,plain,(
% 60.76/9.52 ($false = ((sK2 @ = @ sK24))) | ($false = ((sK4 @ = @ sK24))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f10697])).
% 60.76/9.52 thf(f10701,definition,(
% 60.76/9.52 spl15_154 <=> ($false = ((sK4 @ = @ sK24)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_154])],[avatar_definition])).
% 60.76/9.52 thf(f10702,plain,(
% 60.76/9.52 ($false != ((sK4 @ = @ sK24))) | spl15_154),
% 60.76/9.52 inference(avatar_component_clause,[],[f10701])).
% 60.76/9.52 thf(f10703,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ sK24))) | ~spl15_154),
% 60.76/9.52 inference(avatar_component_clause,[],[f10701])).
% 60.76/9.52 thf(f10705,definition,(
% 60.76/9.52 spl15_155 <=> ($false = ((sK2 @ = @ sK24)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_155])],[avatar_definition])).
% 60.76/9.52 thf(f10707,plain,(
% 60.76/9.52 ($false = ((sK2 @ = @ sK24))) | ~spl15_155),
% 60.76/9.52 inference(avatar_component_clause,[],[f10705])).
% 60.76/9.52 thf(f10708,plain,(
% 60.76/9.52 spl15_154 | spl15_155 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f10699,f112,f10705,f10701])).
% 60.76/9.52 thf(f10710,definition,(
% 60.76/9.52 spl15_156 <=> ($true = ((sK4 @ = @ sK24)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_156])],[avatar_definition])).
% 60.76/9.52 thf(f10712,plain,(
% 60.76/9.52 ($true = ((sK4 @ = @ sK24))) | ~spl15_156),
% 60.76/9.52 inference(avatar_component_clause,[],[f10710])).
% 60.76/9.52 thf(f10714,definition,(
% 60.76/9.52 spl15_157 <=> ($true = ((sK2 @ = @ sK24)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_157])],[avatar_definition])).
% 60.76/9.52 thf(f10716,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ sK24))) | ~spl15_157),
% 60.76/9.52 inference(avatar_component_clause,[],[f10714])).
% 60.76/9.52 thf(f10717,plain,(
% 60.76/9.52 spl15_156 | spl15_157 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f10698,f112,f10714,f10710])).
% 60.76/9.52 thf(f10741,plain,(
% 60.76/9.52 ($false != $false) | ($false = sK24) | (spl15_85 | ~spl15_155)),
% 60.76/9.52 inference(constrained_superposition,[],[f8690,f10707])).
% 60.76/9.52 thf(f10782,definition,(
% 60.76/9.52 spl15_158 <=> ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24)))))))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_158])],[avatar_definition])).
% 60.76/9.52 thf(f10783,plain,(
% 60.76/9.52 ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24))))))) | spl15_158),
% 60.76/9.52 inference(avatar_component_clause,[],[f10782])).
% 60.76/9.52 thf(f10784,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24))))))) | ~spl15_158),
% 60.76/9.52 inference(avatar_component_clause,[],[f10782])).
% 60.76/9.52 thf(f10811,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((sK5 @ =) = (sK2 @ =)))) | ~spl15_6),
% 60.76/9.52 inference(constrained_superposition,[],[f41,f114])).
% 60.76/9.52 thf(f10812,plain,(
% 60.76/9.52 ($true != $true) | (((sK2 @ =)) != ((sK5 @ =))) | ~spl15_6),
% 60.76/9.52 inference(equality_proxy_clausification,[],[f10811])).
% 60.76/9.52 thf(f10813,plain,(
% 60.76/9.52 (((sK2 @ =)) != ((sK5 @ =))) | ~spl15_6),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f10812])).
% 60.76/9.52 thf(f10844,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ $true))) | ($false = sK24) | ~spl15_154),
% 60.76/9.52 inference(constrained_superposition,[],[f10703,f51])).
% 60.76/9.52 thf(f10930,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_154 | ~spl15_156)),
% 60.76/9.52 inference(constrained_superposition,[],[f10712,f10703])).
% 60.76/9.52 thf(f10955,plain,(
% 60.76/9.52 $false | (~spl15_154 | ~spl15_156)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f10930])).
% 60.76/9.52 thf(f10956,plain,(
% 60.76/9.52 ~spl15_154 | ~spl15_156),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f10955])).
% 60.76/9.52 thf(f10969,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $true))) | ($false = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24)))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24))))))) | (~spl15_23 | ~spl15_157)),
% 60.76/9.52 inference(constrained_superposition,[],[f10716,f856])).
% 60.76/9.52 thf(f11001,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $true))) | ($false = sK24) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24))))))) | (~spl15_23 | ~spl15_157)),
% 60.76/9.52 inference(beta-eta_normalization,[],[f10969])).
% 60.76/9.52 thf(f11038,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24)))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24))))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24)))))))) | ~spl15_158),
% 60.76/9.52 inference(constrained_superposition,[],[f41,f10784])).
% 60.76/9.52 thf(f11039,plain,(
% 60.76/9.52 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24)))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24))))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24)))))))) | ~spl15_158),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f11038])).
% 60.76/9.52 thf(f11040,plain,(
% 60.76/9.52 ($true != sK24) | ~spl15_158),
% 60.76/9.52 inference(beta-eta_normalization,[],[f11039])).
% 60.76/9.52 thf(f11109,plain,(
% 60.76/9.52 ($true != $true) | ($false = sK24) | ~spl15_158),
% 60.76/9.52 inference(constrained_superposition,[],[f11040,f51])).
% 60.76/9.52 thf(f11122,plain,(
% 60.76/9.52 ($false = sK24) | ~spl15_158),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f11109])).
% 60.76/9.52 thf(f11140,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ $false))) | (~spl15_154 | ~spl15_158)),
% 60.76/9.52 inference(constrained_superposition,[],[f10703,f11122])).
% 60.76/9.52 thf(f11220,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((sK5 @ =) = (sK3 @ =)))) | ~spl15_6),
% 60.76/9.52 inference(constrained_superposition,[],[f42,f114])).
% 60.76/9.52 thf(f11221,plain,(
% 60.76/9.52 ($true != $true) | (((sK3 @ =)) != ((sK5 @ =))) | ~spl15_6),
% 60.76/9.52 inference(equality_proxy_clausification,[],[f11220])).
% 60.76/9.52 thf(f11222,plain,(
% 60.76/9.52 (((sK3 @ =)) != ((sK5 @ =))) | ~spl15_6),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f11221])).
% 60.76/9.52 thf(f11535,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((sK5 @ =) = (sK4 @ =)))) | ~spl15_6),
% 60.76/9.52 inference(constrained_superposition,[],[f43,f114])).
% 60.76/9.52 thf(f11536,plain,(
% 60.76/9.52 ($true != $true) | (((sK4 @ =)) != ((sK5 @ =))) | ~spl15_6),
% 60.76/9.52 inference(equality_proxy_clausification,[],[f11535])).
% 60.76/9.52 thf(f11537,plain,(
% 60.76/9.52 (((sK4 @ =)) != ((sK5 @ =))) | ~spl15_6),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f11536])).
% 60.76/9.52 thf(f11664,plain,(
% 60.76/9.52 (((sK3 @ = @ sK25)) != ((sK4 @ = @ sK25))) | ~spl15_6),
% 60.76/9.52 inference(negative_extensionality,[],[f9815])).
% 60.76/9.52 thf(f11665,plain,(
% 60.76/9.52 ($true = ((sK3 @ = @ sK25))) | ($true = ((sK4 @ = @ sK25))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f11664])).
% 60.76/9.52 thf(f11666,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ sK25))) | ($false = ((sK4 @ = @ sK25))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f11664])).
% 60.76/9.52 thf(f11668,definition,(
% 60.76/9.52 spl15_164 <=> ($false = ((sK4 @ = @ sK25)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_164])],[avatar_definition])).
% 60.76/9.52 thf(f11669,plain,(
% 60.76/9.52 ($false != ((sK4 @ = @ sK25))) | spl15_164),
% 60.76/9.52 inference(avatar_component_clause,[],[f11668])).
% 60.76/9.52 thf(f11670,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ sK25))) | ~spl15_164),
% 60.76/9.52 inference(avatar_component_clause,[],[f11668])).
% 60.76/9.52 thf(f11672,definition,(
% 60.76/9.52 spl15_165 <=> ($false = ((sK3 @ = @ sK25)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_165])],[avatar_definition])).
% 60.76/9.52 thf(f11674,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ sK25))) | ~spl15_165),
% 60.76/9.52 inference(avatar_component_clause,[],[f11672])).
% 60.76/9.52 thf(f11675,plain,(
% 60.76/9.52 spl15_164 | spl15_165 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f11666,f112,f11672,f11668])).
% 60.76/9.52 thf(f11677,definition,(
% 60.76/9.52 spl15_166 <=> ($true = ((sK4 @ = @ sK25)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_166])],[avatar_definition])).
% 60.76/9.52 thf(f11678,plain,(
% 60.76/9.52 ($true != ((sK4 @ = @ sK25))) | spl15_166),
% 60.76/9.52 inference(avatar_component_clause,[],[f11677])).
% 60.76/9.52 thf(f11679,plain,(
% 60.76/9.52 ($true = ((sK4 @ = @ sK25))) | ~spl15_166),
% 60.76/9.52 inference(avatar_component_clause,[],[f11677])).
% 60.76/9.52 thf(f11681,definition,(
% 60.76/9.52 spl15_167 <=> ($true = ((sK3 @ = @ sK25)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_167])],[avatar_definition])).
% 60.76/9.52 thf(f11683,plain,(
% 60.76/9.52 ($true = ((sK3 @ = @ sK25))) | ~spl15_167),
% 60.76/9.52 inference(avatar_component_clause,[],[f11681])).
% 60.76/9.52 thf(f11684,plain,(
% 60.76/9.52 spl15_166 | spl15_167 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f11665,f112,f11681,f11677])).
% 60.76/9.52 thf(f11685,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_164 | ~spl15_166)),
% 60.76/9.52 inference(forward_demodulation,[],[f11679,f11670])).
% 60.76/9.52 thf(f11686,plain,(
% 60.76/9.52 $false | (~spl15_164 | ~spl15_166)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f11685])).
% 60.76/9.52 thf(f11687,plain,(
% 60.76/9.52 ~spl15_164 | ~spl15_166),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f11686])).
% 60.76/9.52 thf(f11753,plain,(
% 60.76/9.52 ($true = $false) | ($false = sK25) | (~spl15_120 | ~spl15_167)),
% 60.76/9.52 inference(constrained_superposition,[],[f9639,f11683])).
% 60.76/9.52 thf(f11754,plain,(
% 60.76/9.52 ($false = sK25) | (~spl15_120 | ~spl15_167)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f11753])).
% 60.76/9.52 thf(f11786,definition,(
% 60.76/9.52 spl15_168 <=> ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25)))))))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_168])],[avatar_definition])).
% 60.76/9.52 thf(f11787,plain,(
% 60.76/9.52 ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25))))))) | spl15_168),
% 60.76/9.52 inference(avatar_component_clause,[],[f11786])).
% 60.76/9.52 thf(f11788,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25))))))) | ~spl15_168),
% 60.76/9.52 inference(avatar_component_clause,[],[f11786])).
% 60.76/9.52 thf(f11804,plain,(
% 60.76/9.52 ($true = $false) | ($false = sK25) | (~spl15_120 | ~spl15_167)),
% 60.76/9.52 inference(constrained_superposition,[],[f11754,f51])).
% 60.76/9.52 thf(f11818,plain,(
% 60.76/9.52 ($true = ((sK3 @ = @ $false))) | (~spl15_120 | ~spl15_167)),
% 60.76/9.52 inference(constrained_superposition,[],[f11683,f11754])).
% 60.76/9.52 thf(f11819,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ $false))) | (~spl15_120 | ~spl15_164 | ~spl15_167)),
% 60.76/9.52 inference(constrained_superposition,[],[f11670,f11754])).
% 60.76/9.52 thf(f11837,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_117 | ~spl15_120 | ~spl15_167)),
% 60.76/9.52 inference(forward_demodulation,[],[f11818,f9500])).
% 60.76/9.52 thf(f11838,plain,(
% 60.76/9.52 $false | (~spl15_117 | ~spl15_120 | ~spl15_167)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f11837])).
% 60.76/9.52 thf(f11839,plain,(
% 60.76/9.52 ~spl15_117 | ~spl15_120 | ~spl15_167),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f11838])).
% 60.76/9.52 thf(f11842,plain,(
% 60.76/9.52 ($false = sK22) | (spl15_120 | ~spl15_129)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f9968,f9513])).
% 60.76/9.52 thf(f11844,definition,(
% 60.76/9.52 spl15_171 <=> ($false = sK25)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_171])],[avatar_definition])).
% 60.76/9.52 thf(f11845,plain,(
% 60.76/9.52 ($false != sK25) | spl15_171),
% 60.76/9.52 inference(avatar_component_clause,[],[f11844])).
% 60.76/9.52 thf(f11846,plain,(
% 60.76/9.52 ($false = sK25) | ~spl15_171),
% 60.76/9.52 inference(avatar_component_clause,[],[f11844])).
% 60.76/9.52 thf(f11853,definition,(
% 60.76/9.52 spl15_173 <=> ($true = sK22)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_173])],[avatar_definition])).
% 60.76/9.52 thf(f11854,plain,(
% 60.76/9.52 ($true != sK22) | spl15_173),
% 60.76/9.52 inference(avatar_component_clause,[],[f11853])).
% 60.76/9.52 thf(f11855,plain,(
% 60.76/9.52 ($true = sK22) | ~spl15_173),
% 60.76/9.52 inference(avatar_component_clause,[],[f11853])).
% 60.76/9.52 thf(f11858,definition,(
% 60.76/9.52 spl15_174 <=> ($false = sK22)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_174])],[avatar_definition])).
% 60.76/9.52 thf(f11860,plain,(
% 60.76/9.52 ($false = sK22) | ~spl15_174),
% 60.76/9.52 inference(avatar_component_clause,[],[f11858])).
% 60.76/9.52 thf(f11862,plain,(
% 60.76/9.52 spl15_174 | spl15_120 | ~spl15_129),
% 60.76/9.52 inference(avatar_split_clause,[],[f11842,f9951,f9512,f11858])).
% 60.76/9.52 thf(f11910,plain,(
% 60.76/9.52 ($true = $false) | ($false = sK22) | (~spl15_93 | ~spl15_130)),
% 60.76/9.52 inference(constrained_superposition,[],[f8778,f9957])).
% 60.76/9.52 thf(f11911,plain,(
% 60.76/9.52 ($false != $false) | ($false = sK22) | (spl15_85 | ~spl15_130)),
% 60.76/9.52 inference(constrained_superposition,[],[f8690,f9957])).
% 60.76/9.52 thf(f11915,plain,(
% 60.76/9.52 ($false = sK22) | (spl15_85 | ~spl15_130)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f11911])).
% 60.76/9.52 thf(f11916,plain,(
% 60.76/9.52 ($false = sK22) | (~spl15_93 | ~spl15_130)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f11910])).
% 60.76/9.52 thf(f11946,plain,(
% 60.76/9.52 spl15_174 | spl15_85 | ~spl15_130),
% 60.76/9.52 inference(avatar_split_clause,[],[f11915,f9955,f8079,f11858])).
% 60.76/9.52 thf(f11947,plain,(
% 60.76/9.52 spl15_174 | ~spl15_93 | ~spl15_130),
% 60.76/9.52 inference(avatar_split_clause,[],[f11916,f9955,f8665,f11858])).
% 60.76/9.52 thf(f11998,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_173 | ~spl15_174)),
% 60.76/9.52 inference(constrained_superposition,[],[f11860,f11855])).
% 60.76/9.52 thf(f12008,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_173 | ~spl15_174)),
% 60.76/9.52 inference(constrained_superposition,[],[f11855,f11860])).
% 60.76/9.52 thf(f12010,plain,(
% 60.76/9.52 $false | (~spl15_173 | ~spl15_174)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f12008])).
% 60.76/9.52 thf(f12011,plain,(
% 60.76/9.52 ~spl15_173 | ~spl15_174),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f12010])).
% 60.76/9.52 thf(f12022,plain,(
% 60.76/9.52 $false | (~spl15_173 | ~spl15_174)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f11998])).
% 60.76/9.52 thf(f12023,plain,(
% 60.76/9.52 ~spl15_173 | ~spl15_174),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f12022])).
% 60.76/9.52 thf(f12031,plain,(
% 60.76/9.52 ($false = sK25) | (~spl15_120 | ~spl15_167)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f11804])).
% 60.76/9.52 thf(f12034,plain,(
% 60.76/9.52 ($false != ((sK3 @ = @ $false))) | (spl15_111 | ~spl15_121)),
% 60.76/9.52 inference(forward_demodulation,[],[f9426,f9519])).
% 60.76/9.52 thf(f12035,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $false))) | (~spl15_112 | ~spl15_121)),
% 60.76/9.52 inference(forward_demodulation,[],[f9431,f9519])).
% 60.76/9.52 thf(f12036,plain,(
% 60.76/9.52 spl15_171 | ~spl15_120 | ~spl15_167),
% 60.76/9.52 inference(avatar_split_clause,[],[f12031,f11681,f9512,f11844])).
% 60.76/9.52 thf(f12037,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_129 | ~spl15_131)),
% 60.76/9.52 inference(forward_demodulation,[],[f9962,f9953])).
% 60.76/9.52 thf(f12038,plain,(
% 60.76/9.52 $false | (~spl15_129 | ~spl15_131)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f12037])).
% 60.76/9.52 thf(f12039,plain,(
% 60.76/9.52 ~spl15_129 | ~spl15_131),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f12038])).
% 60.76/9.52 thf(f12043,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $true))) | (~spl15_132 | ~spl15_173)),
% 60.76/9.52 inference(forward_demodulation,[],[f9966,f11855])).
% 60.76/9.52 thf(f12112,plain,(
% 60.76/9.52 ($false != $false) | ($false = sK25) | (~spl15_145 | spl15_164)),
% 60.76/9.52 inference(constrained_superposition,[],[f11669,f10425])).
% 60.76/9.52 thf(f12113,plain,(
% 60.76/9.52 ($false = sK25) | (~spl15_145 | spl15_164)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f12112])).
% 60.76/9.52 thf(f12124,plain,(
% 60.76/9.52 spl15_171 | ~spl15_145 | spl15_164),
% 60.76/9.52 inference(avatar_split_clause,[],[f12113,f11668,f10159,f11844])).
% 60.76/9.52 thf(f12173,plain,(
% 60.76/9.52 ($true = ((sK4 @ = @ $true))) | ($false = sK25) | ~spl15_166),
% 60.76/9.52 inference(constrained_superposition,[],[f11679,f51])).
% 60.76/9.52 thf(f12209,definition,(
% 60.76/9.52 spl15_175 <=> ($true = ((sK4 @ = @ $true)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_175])],[avatar_definition])).
% 60.76/9.52 thf(f12210,plain,(
% 60.76/9.52 ($true != ((sK4 @ = @ $true))) | spl15_175),
% 60.76/9.52 inference(avatar_component_clause,[],[f12209])).
% 60.76/9.52 thf(f12211,plain,(
% 60.76/9.52 ($true = ((sK4 @ = @ $true))) | ~spl15_175),
% 60.76/9.52 inference(avatar_component_clause,[],[f12209])).
% 60.76/9.52 thf(f12212,plain,(
% 60.76/9.52 spl15_171 | spl15_175 | ~spl15_166),
% 60.76/9.52 inference(avatar_split_clause,[],[f12173,f11677,f12209,f11844])).
% 60.76/9.52 thf(f12218,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_87 | ~spl15_112 | ~spl15_121)),
% 60.76/9.52 inference(constrained_superposition,[],[f12035,f8163])).
% 60.76/9.52 thf(f12246,plain,(
% 60.76/9.52 $false | (~spl15_87 | ~spl15_112 | ~spl15_121)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f12218])).
% 60.76/9.52 thf(f12247,plain,(
% 60.76/9.52 ~spl15_87 | ~spl15_112 | ~spl15_121),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f12246])).
% 60.76/9.52 thf(f12257,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_111 | ~spl15_113)),
% 60.76/9.52 inference(forward_demodulation,[],[f9436,f9427])).
% 60.76/9.52 thf(f12258,plain,(
% 60.76/9.52 $false | (~spl15_111 | ~spl15_113)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f12257])).
% 60.76/9.52 thf(f12259,plain,(
% 60.76/9.52 ~spl15_111 | ~spl15_113),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f12258])).
% 60.76/9.52 thf(f12260,plain,(
% 60.76/9.52 ~spl15_119 | ~spl15_115),
% 60.76/9.52 inference(avatar_split_clause,[],[f9876,f9490,f9508])).
% 60.76/9.52 thf(f12261,plain,(
% 60.76/9.52 ($true != $true) | ($false = sK21) | spl15_119),
% 60.76/9.52 inference(constrained_superposition,[],[f9509,f51])).
% 60.76/9.52 thf(f12274,plain,(
% 60.76/9.52 ($false = sK21) | spl15_119),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f12261])).
% 60.76/9.52 thf(f12898,definition,(
% 60.76/9.52 spl15_176 <=> ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22)))))))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_176])],[avatar_definition])).
% 60.76/9.52 thf(f12899,plain,(
% 60.76/9.52 ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22))))))) | spl15_176),
% 60.76/9.52 inference(avatar_component_clause,[],[f12898])).
% 60.76/9.52 thf(f12900,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22))))))) | ~spl15_176),
% 60.76/9.52 inference(avatar_component_clause,[],[f12898])).
% 60.76/9.52 thf(f12983,definition,(
% 60.76/9.52 spl15_191 <=> ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25)))))))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_191])],[avatar_definition])).
% 60.76/9.52 thf(f12984,plain,(
% 60.76/9.52 ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25))))))) | spl15_191),
% 60.76/9.52 inference(avatar_component_clause,[],[f12983])).
% 60.76/9.52 thf(f12985,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25))))))) | ~spl15_191),
% 60.76/9.52 inference(avatar_component_clause,[],[f12983])).
% 60.76/9.52 thf(f13063,plain,(
% 60.76/9.52 ($false != ((sK3 @ = @ $true))) | ($false = sK21) | spl15_111),
% 60.76/9.52 inference(constrained_superposition,[],[f9426,f51])).
% 60.76/9.52 thf(f13096,plain,(
% 60.76/9.52 ($false = sK21) | (spl15_111 | ~spl15_120)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f13063,f9514])).
% 60.76/9.52 thf(f13105,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_112 | ~spl15_114)),
% 60.76/9.52 inference(forward_demodulation,[],[f9440,f9431])).
% 60.76/9.52 thf(f13106,plain,(
% 60.76/9.52 $false | (~spl15_112 | ~spl15_114)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f13105])).
% 60.76/9.52 thf(f13107,plain,(
% 60.76/9.52 ~spl15_112 | ~spl15_114),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f13106])).
% 60.76/9.52 thf(f13108,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ $true))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21))))))) | (~spl15_23 | ~spl15_114 | spl15_121)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f9561,f9518])).
% 60.76/9.52 thf(f13109,plain,(
% 60.76/9.52 ($true != ((sK1 @ = @ $false))) | (spl15_73 | ~spl15_86)),
% 60.76/9.52 inference(forward_demodulation,[],[f7739,f8086])).
% 60.76/9.52 thf(f13117,definition,(
% 60.76/9.52 spl15_198 <=> ($false = ((sK1 @ = @ $true)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_198])],[avatar_definition])).
% 60.76/9.52 thf(f13119,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $true))) | ~spl15_198),
% 60.76/9.52 inference(avatar_component_clause,[],[f13117])).
% 60.76/9.52 thf(f13123,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK21))))))) | (~spl15_23 | spl15_88 | ~spl15_114 | spl15_121)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f13108,f8168])).
% 60.76/9.52 thf(f13124,plain,(
% 60.76/9.52 $false | (spl15_73 | ~spl15_86 | ~spl15_87)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f13109,f8163])).
% 60.76/9.52 thf(f13125,plain,(
% 60.76/9.52 spl15_73 | ~spl15_86 | ~spl15_87),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f13124])).
% 60.76/9.52 thf(f13132,plain,(
% 60.76/9.52 $false | (~spl15_23 | spl15_88 | ~spl15_114 | spl15_115 | spl15_121)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f13123,f9491])).
% 60.76/9.52 thf(f13133,plain,(
% 60.76/9.52 ~spl15_23 | spl15_88 | ~spl15_114 | spl15_115 | spl15_121),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f13132])).
% 60.76/9.52 thf(f13136,plain,(
% 60.76/9.52 ($false != ((sK1 @ = @ $true))) | (spl15_112 | ~spl15_119)),
% 60.76/9.52 inference(forward_demodulation,[],[f9430,f9510])).
% 60.76/9.52 thf(f13141,plain,(
% 60.76/9.52 $false | (spl15_112 | ~spl15_119 | ~spl15_198)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f13136,f13119])).
% 60.76/9.52 thf(f13142,plain,(
% 60.76/9.52 spl15_112 | ~spl15_119 | ~spl15_198),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f13141])).
% 60.76/9.52 thf(f13167,plain,(
% 60.76/9.52 ($false = sK24) | (spl15_145 | ~spl15_154)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f10844,f10160])).
% 60.76/9.52 thf(f13174,definition,(
% 60.76/9.52 spl15_200 <=> ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK24)))))))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_200])],[avatar_definition])).
% 60.76/9.52 thf(f13176,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK24))))))) | ~spl15_200),
% 60.76/9.52 inference(avatar_component_clause,[],[f13174])).
% 60.76/9.52 thf(f13188,plain,(
% 60.76/9.52 ($true != $true) | ($false = sK18) | spl15_84),
% 60.76/9.52 inference(constrained_superposition,[],[f8076,f51])).
% 60.76/9.52 thf(f13203,plain,(
% 60.76/9.52 ($false = sK18) | spl15_84),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f13188])).
% 60.76/9.52 thf(f13219,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $false))) | (~spl15_72 | ~spl15_86)),
% 60.76/9.52 inference(constrained_superposition,[],[f7736,f8086])).
% 60.76/9.52 thf(f13237,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_72 | ~spl15_82 | ~spl15_86)),
% 60.76/9.52 inference(forward_demodulation,[],[f13219,f8067])).
% 60.76/9.52 thf(f13238,plain,(
% 60.76/9.52 $false | (~spl15_72 | ~spl15_82 | ~spl15_86)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f13237])).
% 60.76/9.52 thf(f13239,plain,(
% 60.76/9.52 ~spl15_72 | ~spl15_82 | ~spl15_86),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f13238])).
% 60.76/9.52 thf(f13255,plain,(
% 60.76/9.52 ($true = ((sK4 @ = @ $false))) | (~spl15_166 | ~spl15_171)),
% 60.76/9.52 inference(constrained_superposition,[],[f11679,f11846])).
% 60.76/9.52 thf(f13256,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ $false))) | (~spl15_165 | ~spl15_171)),
% 60.76/9.52 inference(constrained_superposition,[],[f11674,f11846])).
% 60.76/9.52 thf(f13257,plain,(
% 60.76/9.52 ($false != ((sK4 @ = @ $false))) | (spl15_164 | ~spl15_171)),
% 60.76/9.52 inference(constrained_superposition,[],[f11669,f11846])).
% 60.76/9.52 thf(f13275,plain,(
% 60.76/9.52 $false | (~spl15_142 | spl15_164 | ~spl15_171)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f13257,f10147])).
% 60.76/9.52 thf(f13276,plain,(
% 60.76/9.52 ~spl15_142 | spl15_164 | ~spl15_171),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f13275])).
% 60.76/9.52 thf(f13277,plain,(
% 60.76/9.52 $false | (spl15_117 | ~spl15_165 | ~spl15_171)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f13256,f9499])).
% 60.76/9.52 thf(f13278,plain,(
% 60.76/9.52 spl15_117 | ~spl15_165 | ~spl15_171),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f13277])).
% 60.76/9.52 thf(f13279,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_142 | ~spl15_166 | ~spl15_171)),
% 60.76/9.52 inference(forward_demodulation,[],[f13255,f10147])).
% 60.76/9.52 thf(f13280,plain,(
% 60.76/9.52 $false | (~spl15_142 | ~spl15_166 | ~spl15_171)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f13279])).
% 60.76/9.52 thf(f13281,plain,(
% 60.76/9.52 ~spl15_142 | ~spl15_166 | ~spl15_171),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f13280])).
% 60.76/9.52 thf(f13285,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ $false))) | (~spl15_164 | ~spl15_171)),
% 60.76/9.52 inference(forward_demodulation,[],[f11670,f11846])).
% 60.76/9.52 thf(f13288,plain,(
% 60.76/9.52 ($true = ((sK3 @ = @ $false))) | (~spl15_167 | ~spl15_171)),
% 60.76/9.52 inference(forward_demodulation,[],[f11683,f11846])).
% 60.76/9.52 thf(f13329,plain,(
% 60.76/9.52 ($false = ((sK2 @ = @ $false))) | (~spl15_70 | ~spl15_86)),
% 60.76/9.52 inference(constrained_superposition,[],[f7727,f8086])).
% 60.76/9.52 thf(f13345,plain,(
% 60.76/9.52 ($true = $false) | ($false = sK18) | (~spl15_70 | ~spl15_93)),
% 60.76/9.52 inference(constrained_superposition,[],[f8778,f7727])).
% 60.76/9.52 thf(f13348,plain,(
% 60.76/9.52 ($false = sK18) | (~spl15_70 | ~spl15_93)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f13345])).
% 60.76/9.52 thf(f14263,plain,(
% 60.76/9.52 ( ! [X0 : $o] : ((((sK1 @ = @ X0)) = X0) | ($false = X0)) ) | ~spl15_88),
% 60.76/9.52 inference(constrained_superposition,[],[f8169,f51])).
% 60.76/9.52 thf(f14295,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($true = ((sK1 @ = @ X0))) | ($false = X0) | ($false = X0)) ) | ~spl15_88),
% 60.76/9.52 inference(iff_proxy_clausification,[],[f14263])).
% 60.76/9.52 thf(f14297,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($true = ((sK1 @ = @ X0))) | ($false = X0)) ) | ~spl15_88),
% 60.76/9.52 inference(duplicate_literal_removal,[],[f14295])).
% 60.76/9.52 thf(f14375,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($false = ((sK4 @ = @ X0))) | ($false = X0)) ) | ~spl15_145),
% 60.76/9.52 inference(constrained_superposition,[],[f10161,f51])).
% 60.76/9.52 thf(f14616,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $false))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK24)))) @ Y0 @ Y1)))))))) | ($false = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK24)))) @ Y0 @ Y1)))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK24)))) @ Y0 @ Y1))))))))) | ~spl15_157),
% 60.76/9.52 inference(constrained_superposition,[],[f10716,f563])).
% 60.76/9.52 thf(f14633,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $false))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK24))))))) | ($false = sK24) | ~spl15_157),
% 60.76/9.52 inference(beta-eta_normalization,[],[f14616])).
% 60.76/9.52 thf(f15035,plain,(
% 60.76/9.52 ($true = $false) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK24))))))) | ($false = sK24) | (~spl15_82 | ~spl15_157)),
% 60.76/9.52 inference(forward_demodulation,[],[f14633,f8067])).
% 60.76/9.52 thf(f15036,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK24))))))) | ($false = sK24) | (~spl15_82 | ~spl15_157)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f15035])).
% 60.76/9.52 thf(f15077,definition,(
% 60.76/9.52 spl15_211 <=> ($false = sK24)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_211])],[avatar_definition])).
% 60.76/9.52 thf(f15078,plain,(
% 60.76/9.52 ($false != sK24) | spl15_211),
% 60.76/9.52 inference(avatar_component_clause,[],[f15077])).
% 60.76/9.52 thf(f15079,plain,(
% 60.76/9.52 ($false = sK24) | ~spl15_211),
% 60.76/9.52 inference(avatar_component_clause,[],[f15077])).
% 60.76/9.52 thf(f15081,plain,(
% 60.76/9.52 spl15_211 | spl15_200 | ~spl15_82 | ~spl15_157),
% 60.76/9.52 inference(avatar_split_clause,[],[f15036,f10714,f8065,f13174,f15077])).
% 60.76/9.52 thf(f15093,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_145 | ~spl15_175)),
% 60.76/9.52 inference(constrained_superposition,[],[f12211,f10161])).
% 60.76/9.52 thf(f15122,plain,(
% 60.76/9.52 $false | (~spl15_145 | ~spl15_175)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f15093])).
% 60.76/9.52 thf(f15123,plain,(
% 60.76/9.52 ~spl15_145 | ~spl15_175),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f15122])).
% 60.76/9.52 thf(f15583,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))) @ (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))))))) | ~spl15_80),
% 60.76/9.52 inference(constrained_superposition,[],[f35,f8059])).
% 60.76/9.52 thf(f15608,plain,(
% 60.76/9.52 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))) @ (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18))))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK18)))))))) | ~spl15_80),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f15583])).
% 60.76/9.52 thf(f15609,plain,(
% 60.76/9.52 ($true != sK18) | ~spl15_80),
% 60.76/9.52 inference(beta-eta_normalization,[],[f15608])).
% 60.76/9.52 thf(f16062,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ $false))) | ($true = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK22)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK22)))) @ Y0 @ Y1)))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK22)))) @ Y0 @ Y1))))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK22)))) @ Y0 @ Y1)))))))) | ~spl15_129),
% 60.76/9.52 inference(constrained_superposition,[],[f9953,f840])).
% 60.76/9.52 thf(f16084,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ $false))) | ($true = sK22) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22))))))) | ~spl15_129),
% 60.76/9.52 inference(beta-eta_normalization,[],[f16062])).
% 60.76/9.52 thf(f16590,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25)))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25)))))))) | ~spl15_168),
% 60.76/9.52 inference(constrained_superposition,[],[f43,f11788])).
% 60.76/9.52 thf(f16591,plain,(
% 60.76/9.52 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25)))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25)))))))) | ~spl15_168),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f16590])).
% 60.76/9.52 thf(f16592,plain,(
% 60.76/9.52 ($true != sK25) | ~spl15_168),
% 60.76/9.52 inference(beta-eta_normalization,[],[f16591])).
% 60.76/9.52 thf(f16907,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25)))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25))))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25)))))))) | ~spl15_191),
% 60.76/9.52 inference(constrained_superposition,[],[f34,f12985])).
% 60.76/9.52 thf(f16916,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25)))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25)))))))) | ~spl15_191),
% 60.76/9.52 inference(constrained_superposition,[],[f43,f12985])).
% 60.76/9.52 thf(f16917,plain,(
% 60.76/9.52 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25)))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25)))))))) | ~spl15_191),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f16916])).
% 60.76/9.52 thf(f16918,plain,(
% 60.76/9.52 ($true != ((~ sK25))) | ~spl15_191),
% 60.76/9.52 inference(beta-eta_normalization,[],[f16917])).
% 60.76/9.52 thf(f16944,plain,(
% 60.76/9.52 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25)))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25))))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25)))))))) | ~spl15_191),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f16907])).
% 60.76/9.52 thf(f16945,plain,(
% 60.76/9.52 ($true != ((~ sK25))) | ~spl15_191),
% 60.76/9.52 inference(beta-eta_normalization,[],[f16944])).
% 60.76/9.52 thf(f16946,plain,(
% 60.76/9.52 ($true = sK25) | ~spl15_191),
% 60.76/9.52 inference(not_proxy_clausification,[],[f16945])).
% 60.76/9.52 thf(f17377,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK24)))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK24))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK24)))))))) | ~spl15_200),
% 60.76/9.52 inference(constrained_superposition,[],[f43,f13176])).
% 60.76/9.52 thf(f17378,plain,(
% 60.76/9.52 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK24)))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK24))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK24)))))))) | ~spl15_200),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f17377])).
% 60.76/9.52 thf(f17379,plain,(
% 60.76/9.52 ($true != ((~ sK24))) | ~spl15_200),
% 60.76/9.52 inference(beta-eta_normalization,[],[f17378])).
% 60.76/9.52 thf(f17380,plain,(
% 60.76/9.52 ($true = sK24) | ~spl15_200),
% 60.76/9.52 inference(not_proxy_clausification,[],[f17379])).
% 60.76/9.52 thf(f17471,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $true))) | (~spl15_157 | ~spl15_200)),
% 60.76/9.52 inference(constrained_superposition,[],[f10716,f17380])).
% 60.76/9.52 thf(f17530,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22)))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22))))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22)))))))) | ~spl15_176),
% 60.76/9.52 inference(constrained_superposition,[],[f34,f12900])).
% 60.76/9.52 thf(f17567,plain,(
% 60.76/9.52 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22)))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22))))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22)))))))) | ~spl15_176),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f17530])).
% 60.76/9.52 thf(f17568,plain,(
% 60.76/9.52 ($true != ((~ sK22))) | ~spl15_176),
% 60.76/9.52 inference(beta-eta_normalization,[],[f17567])).
% 60.76/9.52 thf(f17569,plain,(
% 60.76/9.52 ($true = sK22) | ~spl15_176),
% 60.76/9.52 inference(not_proxy_clausification,[],[f17568])).
% 60.76/9.52 thf(f18233,plain,(
% 60.76/9.52 (((sK1 @ = @ sK26)) != ((sK5 @ = @ sK26))) | ~spl15_6),
% 60.76/9.52 inference(negative_extensionality,[],[f10271])).
% 60.76/9.52 thf(f18234,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ sK26))) | ($true = ((sK5 @ = @ sK26))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f18233])).
% 60.76/9.52 thf(f18235,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ sK26))) | ($false = ((sK5 @ = @ sK26))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f18233])).
% 60.76/9.52 thf(f18237,definition,(
% 60.76/9.52 spl15_238 <=> ($false = ((sK5 @ = @ sK26)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_238])],[avatar_definition])).
% 60.76/9.52 thf(f18239,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ sK26))) | ~spl15_238),
% 60.76/9.52 inference(avatar_component_clause,[],[f18237])).
% 60.76/9.52 thf(f18241,definition,(
% 60.76/9.52 spl15_239 <=> ($false = ((sK1 @ = @ sK26)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_239])],[avatar_definition])).
% 60.76/9.52 thf(f18243,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ sK26))) | ~spl15_239),
% 60.76/9.52 inference(avatar_component_clause,[],[f18241])).
% 60.76/9.52 thf(f18244,plain,(
% 60.76/9.52 spl15_238 | spl15_239 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f18235,f112,f18241,f18237])).
% 60.76/9.52 thf(f18246,definition,(
% 60.76/9.52 spl15_240 <=> ($true = ((sK5 @ = @ sK26)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_240])],[avatar_definition])).
% 60.76/9.52 thf(f18248,plain,(
% 60.76/9.52 ($true = ((sK5 @ = @ sK26))) | ~spl15_240),
% 60.76/9.52 inference(avatar_component_clause,[],[f18246])).
% 60.76/9.52 thf(f18250,definition,(
% 60.76/9.52 spl15_241 <=> ($true = ((sK1 @ = @ sK26)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_241])],[avatar_definition])).
% 60.76/9.52 thf(f18252,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ sK26))) | ~spl15_241),
% 60.76/9.52 inference(avatar_component_clause,[],[f18250])).
% 60.76/9.52 thf(f18253,plain,(
% 60.76/9.52 spl15_240 | spl15_241 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f18234,f112,f18250,f18246])).
% 60.76/9.52 thf(f18254,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ $true))) | ($false = sK26) | ~spl15_238),
% 60.76/9.52 inference(constrained_superposition,[],[f18239,f51])).
% 60.76/9.52 thf(f18316,definition,(
% 60.76/9.52 spl15_242 <=> ($false = sK26)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_242])],[avatar_definition])).
% 60.76/9.52 thf(f18317,plain,(
% 60.76/9.52 ($false != sK26) | spl15_242),
% 60.76/9.52 inference(avatar_component_clause,[],[f18316])).
% 60.76/9.52 thf(f18318,plain,(
% 60.76/9.52 ($false = sK26) | ~spl15_242),
% 60.76/9.52 inference(avatar_component_clause,[],[f18316])).
% 60.76/9.52 thf(f18324,definition,(
% 60.76/9.52 spl15_244 <=> ($false = ((sK5 @ = @ $false)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_244])],[avatar_definition])).
% 60.76/9.52 thf(f18325,plain,(
% 60.76/9.52 ($false != ((sK5 @ = @ $false))) | spl15_244),
% 60.76/9.52 inference(avatar_component_clause,[],[f18324])).
% 60.76/9.52 thf(f18326,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ $false))) | ~spl15_244),
% 60.76/9.52 inference(avatar_component_clause,[],[f18324])).
% 60.76/9.52 thf(f18329,definition,(
% 60.76/9.52 spl15_245 <=> ($true = sK26)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_245])],[avatar_definition])).
% 60.76/9.52 thf(f18330,plain,(
% 60.76/9.52 ($true != sK26) | spl15_245),
% 60.76/9.52 inference(avatar_component_clause,[],[f18329])).
% 60.76/9.52 thf(f18331,plain,(
% 60.76/9.52 ($true = sK26) | ~spl15_245),
% 60.76/9.52 inference(avatar_component_clause,[],[f18329])).
% 60.76/9.52 thf(f18338,definition,(
% 60.76/9.52 spl15_247 <=> ($false = ((sK5 @ = @ $true)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_247])],[avatar_definition])).
% 60.76/9.52 thf(f18339,plain,(
% 60.76/9.52 ($false != ((sK5 @ = @ $true))) | spl15_247),
% 60.76/9.52 inference(avatar_component_clause,[],[f18338])).
% 60.76/9.52 thf(f18340,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ $true))) | ~spl15_247),
% 60.76/9.52 inference(avatar_component_clause,[],[f18338])).
% 60.76/9.52 thf(f18361,plain,(
% 60.76/9.52 spl15_242 | spl15_247 | ~spl15_238),
% 60.76/9.52 inference(avatar_split_clause,[],[f18254,f18237,f18338,f18316])).
% 60.76/9.52 thf(f18471,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($false = ((sK5 @ = @ X0))) | ($false = X0)) ) | ~spl15_247),
% 60.76/9.52 inference(constrained_superposition,[],[f18340,f51])).
% 60.76/9.52 thf(f18666,plain,(
% 60.76/9.52 (((sK2 @ = @ sK27)) != ((sK5 @ = @ sK27))) | ~spl15_6),
% 60.76/9.52 inference(negative_extensionality,[],[f10813])).
% 60.76/9.52 thf(f18667,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ sK27))) | ($true = ((sK5 @ = @ sK27))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f18666])).
% 60.76/9.52 thf(f18668,plain,(
% 60.76/9.52 ($false = ((sK2 @ = @ sK27))) | ($false = ((sK5 @ = @ sK27))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f18666])).
% 60.76/9.52 thf(f18670,definition,(
% 60.76/9.52 spl15_256 <=> ($false = ((sK5 @ = @ sK27)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_256])],[avatar_definition])).
% 60.76/9.52 thf(f18671,plain,(
% 60.76/9.52 ($false != ((sK5 @ = @ sK27))) | spl15_256),
% 60.76/9.52 inference(avatar_component_clause,[],[f18670])).
% 60.76/9.52 thf(f18672,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ sK27))) | ~spl15_256),
% 60.76/9.52 inference(avatar_component_clause,[],[f18670])).
% 60.76/9.52 thf(f18674,definition,(
% 60.76/9.52 spl15_257 <=> ($false = ((sK2 @ = @ sK27)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_257])],[avatar_definition])).
% 60.76/9.52 thf(f18675,plain,(
% 60.76/9.52 ($false != ((sK2 @ = @ sK27))) | spl15_257),
% 60.76/9.52 inference(avatar_component_clause,[],[f18674])).
% 60.76/9.52 thf(f18676,plain,(
% 60.76/9.52 ($false = ((sK2 @ = @ sK27))) | ~spl15_257),
% 60.76/9.52 inference(avatar_component_clause,[],[f18674])).
% 60.76/9.52 thf(f18677,plain,(
% 60.76/9.52 spl15_256 | spl15_257 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f18668,f112,f18674,f18670])).
% 60.76/9.52 thf(f18679,definition,(
% 60.76/9.52 spl15_258 <=> ($true = ((sK5 @ = @ sK27)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_258])],[avatar_definition])).
% 60.76/9.52 thf(f18681,plain,(
% 60.76/9.52 ($true = ((sK5 @ = @ sK27))) | ~spl15_258),
% 60.76/9.52 inference(avatar_component_clause,[],[f18679])).
% 60.76/9.52 thf(f18683,definition,(
% 60.76/9.52 spl15_259 <=> ($true = ((sK2 @ = @ sK27)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_259])],[avatar_definition])).
% 60.76/9.52 thf(f18685,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ sK27))) | ~spl15_259),
% 60.76/9.52 inference(avatar_component_clause,[],[f18683])).
% 60.76/9.52 thf(f18686,plain,(
% 60.76/9.52 spl15_258 | spl15_259 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f18667,f112,f18683,f18679])).
% 60.76/9.52 thf(f18687,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_256 | ~spl15_258)),
% 60.76/9.52 inference(forward_demodulation,[],[f18681,f18672])).
% 60.76/9.52 thf(f18688,plain,(
% 60.76/9.52 $false | (~spl15_256 | ~spl15_258)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f18687])).
% 60.76/9.52 thf(f18689,plain,(
% 60.76/9.52 ~spl15_256 | ~spl15_258),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f18688])).
% 60.76/9.52 thf(f18723,plain,(
% 60.76/9.52 ($false != ((sK5 @ = @ $true))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27))))))) | ($true = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27)))))))) | spl15_256),
% 60.76/9.52 inference(constrained_superposition,[],[f18671,f48])).
% 60.76/9.52 thf(f18741,plain,(
% 60.76/9.52 ($false != $false) | ($false = sK27) | (~spl15_247 | spl15_256)),
% 60.76/9.52 inference(constrained_superposition,[],[f18671,f18471])).
% 60.76/9.52 thf(f18742,plain,(
% 60.76/9.52 ($false = sK27) | (~spl15_247 | spl15_256)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f18741])).
% 60.76/9.52 thf(f18762,plain,(
% 60.76/9.52 ($false != ((sK5 @ = @ $true))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27))))))) | ($true = sK27) | spl15_256),
% 60.76/9.52 inference(beta-eta_normalization,[],[f18723])).
% 60.76/9.52 thf(f18771,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27))))))) | ($true = sK27) | (~spl15_247 | spl15_256)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f18762,f18340])).
% 60.76/9.52 thf(f18787,definition,(
% 60.76/9.52 spl15_262 <=> ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27)))))))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_262])],[avatar_definition])).
% 60.76/9.52 thf(f18789,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27))))))) | ~spl15_262),
% 60.76/9.52 inference(avatar_component_clause,[],[f18787])).
% 60.76/9.52 thf(f18800,plain,(
% 60.76/9.52 ($true = $false) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27))))))) | (~spl15_247 | spl15_256)),
% 60.76/9.52 inference(forward_demodulation,[],[f18771,f18742])).
% 60.76/9.52 thf(f18801,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27))))))) | (~spl15_247 | spl15_256)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f18800])).
% 60.76/9.52 thf(f18805,plain,(
% 60.76/9.52 spl15_262 | ~spl15_247 | spl15_256),
% 60.76/9.52 inference(avatar_split_clause,[],[f18801,f18670,f18338,f18787])).
% 60.76/9.52 thf(f18808,definition,(
% 60.76/9.52 spl15_265 <=> ($true = sK27)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_265])],[avatar_definition])).
% 60.76/9.52 thf(f18809,plain,(
% 60.76/9.52 ($true != sK27) | spl15_265),
% 60.76/9.52 inference(avatar_component_clause,[],[f18808])).
% 60.76/9.52 thf(f18810,plain,(
% 60.76/9.52 ($true = sK27) | ~spl15_265),
% 60.76/9.52 inference(avatar_component_clause,[],[f18808])).
% 60.76/9.52 thf(f18813,definition,(
% 60.76/9.52 spl15_266 <=> ($false = sK27)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_266])],[avatar_definition])).
% 60.76/9.52 thf(f18814,plain,(
% 60.76/9.52 ($false != sK27) | spl15_266),
% 60.76/9.52 inference(avatar_component_clause,[],[f18813])).
% 60.76/9.52 thf(f18815,plain,(
% 60.76/9.52 ($false = sK27) | ~spl15_266),
% 60.76/9.52 inference(avatar_component_clause,[],[f18813])).
% 60.76/9.52 thf(f18834,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ $false))) | (~spl15_238 | ~spl15_242)),
% 60.76/9.52 inference(constrained_superposition,[],[f18239,f18318])).
% 60.76/9.52 thf(f18911,plain,(
% 60.76/9.52 ($false != ((sK5 @ = @ $false))) | (spl15_256 | ~spl15_266)),
% 60.76/9.52 inference(constrained_superposition,[],[f18671,f18815])).
% 60.76/9.52 thf(f18937,plain,(
% 60.76/9.52 $false | (~spl15_244 | spl15_256 | ~spl15_266)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f18911,f18326])).
% 60.76/9.52 thf(f18938,plain,(
% 60.76/9.52 ~spl15_244 | spl15_256 | ~spl15_266),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f18937])).
% 60.76/9.52 thf(f18951,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $false))) | (~spl15_239 | ~spl15_242)),
% 60.76/9.52 inference(forward_demodulation,[],[f18243,f18318])).
% 60.76/9.52 thf(f18982,plain,(
% 60.76/9.52 ($true = $false) | ($false = sK27) | (~spl15_93 | ~spl15_257)),
% 60.76/9.52 inference(constrained_superposition,[],[f8778,f18676])).
% 60.76/9.52 thf(f18983,plain,(
% 60.76/9.52 ($false != $false) | ($false = sK27) | (spl15_85 | ~spl15_257)),
% 60.76/9.52 inference(constrained_superposition,[],[f8690,f18676])).
% 60.76/9.52 thf(f18984,plain,(
% 60.76/9.52 ($false = sK27) | (spl15_85 | ~spl15_257)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f18983])).
% 60.76/9.52 thf(f18985,plain,(
% 60.76/9.52 ($false = sK27) | (~spl15_93 | ~spl15_257)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f18982])).
% 60.76/9.52 thf(f19021,plain,(
% 60.76/9.52 spl15_266 | spl15_85 | ~spl15_257),
% 60.76/9.52 inference(avatar_split_clause,[],[f18984,f18674,f8079,f18813])).
% 60.76/9.52 thf(f19022,plain,(
% 60.76/9.52 spl15_266 | ~spl15_93 | ~spl15_257),
% 60.76/9.52 inference(avatar_split_clause,[],[f18985,f18674,f8665,f18813])).
% 60.76/9.52 thf(f19036,plain,(
% 60.76/9.52 ($true != $true) | ($false = sK27) | spl15_265),
% 60.76/9.52 inference(constrained_superposition,[],[f18809,f51])).
% 60.76/9.52 thf(f19058,plain,(
% 60.76/9.52 ($false = sK27) | spl15_265),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f19036])).
% 60.76/9.52 thf(f19076,plain,(
% 60.76/9.52 ($false = ((sK2 @ = @ $false))) | (~spl15_257 | ~spl15_266)),
% 60.76/9.52 inference(constrained_superposition,[],[f18676,f18815])).
% 60.76/9.52 thf(f19197,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_87 | ~spl15_239 | ~spl15_242)),
% 60.76/9.52 inference(constrained_superposition,[],[f18951,f8163])).
% 60.76/9.52 thf(f19228,plain,(
% 60.76/9.52 $false | (~spl15_87 | ~spl15_239 | ~spl15_242)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f19197])).
% 60.76/9.52 thf(f19229,plain,(
% 60.76/9.52 ~spl15_87 | ~spl15_239 | ~spl15_242),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f19228])).
% 60.76/9.52 thf(f19267,plain,(
% 60.76/9.52 ($true != $true) | ($false = sK26) | spl15_245),
% 60.76/9.52 inference(constrained_superposition,[],[f18330,f51])).
% 60.76/9.52 thf(f19289,plain,(
% 60.76/9.52 ($false = sK26) | spl15_245),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f19267])).
% 60.76/9.52 thf(f19290,plain,(
% 60.76/9.52 $false | (spl15_242 | spl15_245)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f19289,f18317])).
% 60.76/9.52 thf(f19291,plain,(
% 60.76/9.52 spl15_242 | spl15_245),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f19290])).
% 60.76/9.52 thf(f19376,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $true))) | ($false = sK26) | ~spl15_239),
% 60.76/9.52 inference(constrained_superposition,[],[f18243,f51])).
% 60.76/9.52 thf(f19394,plain,(
% 60.76/9.52 ($true = $false) | ($false = sK26) | (~spl15_88 | ~spl15_239)),
% 60.76/9.52 inference(constrained_superposition,[],[f18243,f14297])).
% 60.76/9.52 thf(f19430,plain,(
% 60.76/9.52 ($false = sK26) | (~spl15_88 | ~spl15_239)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f19394])).
% 60.76/9.52 thf(f19453,plain,(
% 60.76/9.52 $false | (~spl15_88 | ~spl15_239 | spl15_242)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f19430,f18317])).
% 60.76/9.52 thf(f19454,plain,(
% 60.76/9.52 ~spl15_88 | ~spl15_239 | spl15_242),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f19453])).
% 60.76/9.52 thf(f19458,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $true))) | (~spl15_239 | spl15_242)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f19376,f18317])).
% 60.76/9.52 thf(f19459,plain,(
% 60.76/9.52 spl15_198 | ~spl15_239 | spl15_242),
% 60.76/9.52 inference(avatar_split_clause,[],[f19458,f18316,f18241,f13117])).
% 60.76/9.52 thf(f19461,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ $true))) | (~spl15_238 | ~spl15_245)),
% 60.76/9.52 inference(forward_demodulation,[],[f18239,f18331])).
% 60.76/9.52 thf(f19494,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($false = ((sK5 @ = @ X0))) | ($false = X0)) ) | ~spl15_247),
% 60.76/9.52 inference(constrained_superposition,[],[f18340,f51])).
% 60.76/9.52 thf(f19982,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27)))) @ (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27))))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27)))))))) | ~spl15_262),
% 60.76/9.52 inference(constrained_superposition,[],[f36,f18789])).
% 60.76/9.52 thf(f19989,plain,(
% 60.76/9.52 ($true != $true) | ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27)))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27)))))))) | ~spl15_262),
% 60.76/9.52 inference(constrained_superposition,[],[f43,f18789])).
% 60.76/9.52 thf(f19990,plain,(
% 60.76/9.52 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27)))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27)))))))) | ~spl15_262),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f19989])).
% 60.76/9.52 thf(f19991,plain,(
% 60.76/9.52 ($true != sK27) | ~spl15_262),
% 60.76/9.52 inference(beta-eta_normalization,[],[f19990])).
% 60.76/9.52 thf(f20004,plain,(
% 60.76/9.52 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27)))) @ (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27))))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK27)))))))) | ~spl15_262),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f19982])).
% 60.76/9.52 thf(f20005,plain,(
% 60.76/9.52 ($true != sK27) | ~spl15_262),
% 60.76/9.52 inference(beta-eta_normalization,[],[f20004])).
% 60.76/9.52 thf(f20593,plain,(
% 60.76/9.52 (((sK3 @ = @ sK28)) != ((sK5 @ = @ sK28))) | ~spl15_6),
% 60.76/9.52 inference(negative_extensionality,[],[f11222])).
% 60.76/9.52 thf(f20594,plain,(
% 60.76/9.52 ($true = ((sK3 @ = @ sK28))) | ($true = ((sK5 @ = @ sK28))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f20593])).
% 60.76/9.52 thf(f20595,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ sK28))) | ($false = ((sK5 @ = @ sK28))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f20593])).
% 60.76/9.52 thf(f20597,definition,(
% 60.76/9.52 spl15_278 <=> ($false = ((sK5 @ = @ sK28)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_278])],[avatar_definition])).
% 60.76/9.52 thf(f20598,plain,(
% 60.76/9.52 ($false != ((sK5 @ = @ sK28))) | spl15_278),
% 60.76/9.52 inference(avatar_component_clause,[],[f20597])).
% 60.76/9.52 thf(f20599,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ sK28))) | ~spl15_278),
% 60.76/9.52 inference(avatar_component_clause,[],[f20597])).
% 60.76/9.52 thf(f20601,definition,(
% 60.76/9.52 spl15_279 <=> ($false = ((sK3 @ = @ sK28)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_279])],[avatar_definition])).
% 60.76/9.52 thf(f20603,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ sK28))) | ~spl15_279),
% 60.76/9.52 inference(avatar_component_clause,[],[f20601])).
% 60.76/9.52 thf(f20604,plain,(
% 60.76/9.52 spl15_278 | spl15_279 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f20595,f112,f20601,f20597])).
% 60.76/9.52 thf(f20606,definition,(
% 60.76/9.52 spl15_280 <=> ($true = ((sK5 @ = @ sK28)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_280])],[avatar_definition])).
% 60.76/9.52 thf(f20608,plain,(
% 60.76/9.52 ($true = ((sK5 @ = @ sK28))) | ~spl15_280),
% 60.76/9.52 inference(avatar_component_clause,[],[f20606])).
% 60.76/9.52 thf(f20610,definition,(
% 60.76/9.52 spl15_281 <=> ($true = ((sK3 @ = @ sK28)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_281])],[avatar_definition])).
% 60.76/9.52 thf(f20612,plain,(
% 60.76/9.52 ($true = ((sK3 @ = @ sK28))) | ~spl15_281),
% 60.76/9.52 inference(avatar_component_clause,[],[f20610])).
% 60.76/9.52 thf(f20613,plain,(
% 60.76/9.52 spl15_280 | spl15_281 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f20594,f112,f20610,f20606])).
% 60.76/9.52 thf(f20681,definition,(
% 60.76/9.52 spl15_282 <=> ($false = sK28)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_282])],[avatar_definition])).
% 60.76/9.52 thf(f20682,plain,(
% 60.76/9.52 ($false != sK28) | spl15_282),
% 60.76/9.52 inference(avatar_component_clause,[],[f20681])).
% 60.76/9.52 thf(f20683,plain,(
% 60.76/9.52 ($false = sK28) | ~spl15_282),
% 60.76/9.52 inference(avatar_component_clause,[],[f20681])).
% 60.76/9.52 thf(f20690,definition,(
% 60.76/9.52 spl15_284 <=> ($true = sK28)),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_284])],[avatar_definition])).
% 60.76/9.52 thf(f20691,plain,(
% 60.76/9.52 ($true != sK28) | spl15_284),
% 60.76/9.52 inference(avatar_component_clause,[],[f20690])).
% 60.76/9.52 thf(f20692,plain,(
% 60.76/9.52 ($true = sK28) | ~spl15_284),
% 60.76/9.52 inference(avatar_component_clause,[],[f20690])).
% 60.76/9.52 thf(f20733,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ $false))) | (~spl15_278 | ~spl15_282)),
% 60.76/9.52 inference(constrained_superposition,[],[f20599,f20683])).
% 60.76/9.52 thf(f20755,plain,(
% 60.76/9.52 $false | (spl15_244 | ~spl15_278 | ~spl15_282)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f20733,f18325])).
% 60.76/9.52 thf(f20756,plain,(
% 60.76/9.52 spl15_244 | ~spl15_278 | ~spl15_282),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f20755])).
% 60.76/9.52 thf(f20757,plain,(
% 60.76/9.52 ($false != ((sK5 @ = @ $false))) | (spl15_278 | ~spl15_282)),
% 60.76/9.52 inference(forward_demodulation,[],[f20598,f20683])).
% 60.76/9.52 thf(f20758,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ $false))) | (~spl15_279 | ~spl15_282)),
% 60.76/9.52 inference(forward_demodulation,[],[f20603,f20683])).
% 60.76/9.52 thf(f20759,plain,(
% 60.76/9.52 $false | (spl15_117 | ~spl15_279 | ~spl15_282)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f20758,f9499])).
% 60.76/9.52 thf(f20760,plain,(
% 60.76/9.52 spl15_117 | ~spl15_279 | ~spl15_282),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f20759])).
% 60.76/9.52 thf(f20783,plain,(
% 60.76/9.52 ($true != $true) | ($false = sK28) | spl15_284),
% 60.76/9.52 inference(constrained_superposition,[],[f20691,f51])).
% 60.76/9.52 thf(f20805,plain,(
% 60.76/9.52 ($false = sK28) | spl15_284),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f20783])).
% 60.76/9.52 thf(f20806,plain,(
% 60.76/9.52 $false | (spl15_282 | spl15_284)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f20805,f20682])).
% 60.76/9.52 thf(f20807,plain,(
% 60.76/9.52 spl15_282 | spl15_284),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f20806])).
% 60.76/9.52 thf(f20954,plain,(
% 60.76/9.52 ($false != $false) | ($false = sK28) | (~spl15_247 | spl15_278)),
% 60.76/9.52 inference(constrained_superposition,[],[f20598,f19494])).
% 60.76/9.52 thf(f20991,plain,(
% 60.76/9.52 ($true != ((sK1 @ = @ $true))) | (spl15_114 | ~spl15_119)),
% 60.76/9.52 inference(forward_demodulation,[],[f9439,f9510])).
% 60.76/9.52 thf(f21001,plain,(
% 60.76/9.52 ($true = ((sK5 @ = @ $true))) | (~spl15_240 | ~spl15_245)),
% 60.76/9.52 inference(forward_demodulation,[],[f18248,f18331])).
% 60.76/9.52 thf(f21004,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $false))) | (~spl15_132 | ~spl15_174)),
% 60.76/9.52 inference(forward_demodulation,[],[f9966,f11860])).
% 60.76/9.52 thf(f21028,plain,(
% 60.76/9.52 $false | (spl15_173 | ~spl15_176)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f17569,f11854])).
% 60.76/9.52 thf(f21029,plain,(
% 60.76/9.52 spl15_173 | ~spl15_176),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21028])).
% 60.76/9.52 thf(f21034,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_82 | ~spl15_132 | ~spl15_174)),
% 60.76/9.52 inference(forward_demodulation,[],[f21004,f8067])).
% 60.76/9.52 thf(f21035,plain,(
% 60.76/9.52 $false | (~spl15_82 | ~spl15_132 | ~spl15_174)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f21034])).
% 60.76/9.52 thf(f21036,plain,(
% 60.76/9.52 ~spl15_82 | ~spl15_132 | ~spl15_174),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21035])).
% 60.76/9.52 thf(f21043,plain,(
% 60.76/9.52 ($true = sK22) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22))))))) | (spl15_117 | ~spl15_129)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f16084,f9499])).
% 60.76/9.52 thf(f21046,plain,(
% 60.76/9.52 $false | (~spl15_70 | spl15_82 | ~spl15_86)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f13329,f8066])).
% 60.76/9.52 thf(f21047,plain,(
% 60.76/9.52 ~spl15_70 | spl15_82 | ~spl15_86),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21046])).
% 60.76/9.52 thf(f21050,plain,(
% 60.76/9.52 $false | (spl15_82 | ~spl15_257 | ~spl15_266)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f19076,f8066])).
% 60.76/9.52 thf(f21051,plain,(
% 60.76/9.52 spl15_82 | ~spl15_257 | ~spl15_266),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21050])).
% 60.76/9.52 thf(f21054,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22))))))) | (spl15_117 | ~spl15_129 | spl15_173)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f21043,f11854])).
% 60.76/9.52 thf(f21063,plain,(
% 60.76/9.52 $false | (spl15_117 | ~spl15_129 | spl15_173 | spl15_176)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f21054,f12899])).
% 60.76/9.52 thf(f21064,plain,(
% 60.76/9.52 spl15_117 | ~spl15_129 | spl15_173 | spl15_176),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21063])).
% 60.76/9.52 thf(f21099,plain,(
% 60.76/9.52 ($false = ((sK2 @ = @ $false))) | (~spl15_130 | ~spl15_174)),
% 60.76/9.52 inference(forward_demodulation,[],[f9957,f11860])).
% 60.76/9.52 thf(f21105,plain,(
% 60.76/9.52 ($true != $true) | ($false = sK22) | spl15_173),
% 60.76/9.52 inference(constrained_superposition,[],[f11854,f51])).
% 60.76/9.52 thf(f21127,plain,(
% 60.76/9.52 ($false = sK22) | spl15_173),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f21105])).
% 60.76/9.52 thf(f21210,plain,(
% 60.76/9.52 ($false = ((sK3 @ = @ $true))) | ($false = sK28) | ~spl15_279),
% 60.76/9.52 inference(constrained_superposition,[],[f20603,f51])).
% 60.76/9.52 thf(f21279,plain,(
% 60.76/9.52 ($false = sK28) | (spl15_120 | ~spl15_279)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f21210,f9513])).
% 60.76/9.52 thf(f21280,plain,(
% 60.76/9.52 $false | (spl15_120 | ~spl15_279 | spl15_282)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f21279,f20682])).
% 60.76/9.52 thf(f21281,plain,(
% 60.76/9.52 spl15_120 | ~spl15_279 | spl15_282),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21280])).
% 60.76/9.52 thf(f21282,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ $true))) | (~spl15_278 | ~spl15_284)),
% 60.76/9.52 inference(forward_demodulation,[],[f20599,f20692])).
% 60.76/9.52 thf(f21284,plain,(
% 60.76/9.52 $false | (spl15_247 | ~spl15_278 | ~spl15_284)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f21282,f18339])).
% 60.76/9.52 thf(f21285,plain,(
% 60.76/9.52 spl15_247 | ~spl15_278 | ~spl15_284),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21284])).
% 60.76/9.52 thf(f21292,plain,(
% 60.76/9.52 spl15_247 | ~spl15_238 | ~spl15_245),
% 60.76/9.52 inference(avatar_split_clause,[],[f19461,f18329,f18237,f18338])).
% 60.76/9.52 thf(f21696,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($false = ((sK5 @ = @ X0))) | ($false = X0)) ) | ~spl15_247),
% 60.76/9.52 inference(constrained_superposition,[],[f18340,f51])).
% 60.76/9.52 thf(f21703,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_240 | ~spl15_245 | ~spl15_247)),
% 60.76/9.52 inference(constrained_superposition,[],[f18340,f21001])).
% 60.76/9.52 thf(f21734,plain,(
% 60.76/9.52 $false | (~spl15_240 | ~spl15_245 | ~spl15_247)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f21703])).
% 60.76/9.52 thf(f21735,plain,(
% 60.76/9.52 ~spl15_240 | ~spl15_245 | ~spl15_247),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21734])).
% 60.76/9.52 thf(f21756,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ $true))) | (~spl15_241 | ~spl15_245)),
% 60.76/9.52 inference(forward_demodulation,[],[f18252,f18331])).
% 60.76/9.52 thf(f21763,plain,(
% 60.76/9.52 $false | (spl15_88 | ~spl15_241 | ~spl15_245)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f21756,f8168])).
% 60.76/9.52 thf(f21764,plain,(
% 60.76/9.52 spl15_88 | ~spl15_241 | ~spl15_245),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21763])).
% 60.76/9.52 thf(f21771,plain,(
% 60.76/9.52 $false | (~spl15_88 | spl15_114 | ~spl15_119)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f20991,f8169])).
% 60.76/9.52 thf(f21772,plain,(
% 60.76/9.52 ~spl15_88 | spl15_114 | ~spl15_119),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21771])).
% 60.76/9.52 thf(f21803,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ $false))) | (~spl15_256 | ~spl15_266)),
% 60.76/9.52 inference(forward_demodulation,[],[f18672,f18815])).
% 60.76/9.52 thf(f21805,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_257 | ~spl15_259)),
% 60.76/9.52 inference(forward_demodulation,[],[f18685,f18676])).
% 60.76/9.52 thf(f21806,plain,(
% 60.76/9.52 $false | (~spl15_257 | ~spl15_259)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f21805])).
% 60.76/9.52 thf(f21807,plain,(
% 60.76/9.52 ~spl15_257 | ~spl15_259),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21806])).
% 60.76/9.52 thf(f21813,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $false))) | (~spl15_259 | ~spl15_266)),
% 60.76/9.52 inference(forward_demodulation,[],[f18685,f18815])).
% 60.76/9.52 thf(f21816,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_82 | ~spl15_259 | ~spl15_266)),
% 60.76/9.52 inference(forward_demodulation,[],[f21813,f8067])).
% 60.76/9.52 thf(f21817,plain,(
% 60.76/9.52 $false | (~spl15_82 | ~spl15_259 | ~spl15_266)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f21816])).
% 60.76/9.52 thf(f21818,plain,(
% 60.76/9.52 ~spl15_82 | ~spl15_259 | ~spl15_266),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21817])).
% 60.76/9.52 thf(f21819,plain,(
% 60.76/9.52 $false | (spl15_265 | spl15_266)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f19058,f18814])).
% 60.76/9.52 thf(f21820,plain,(
% 60.76/9.52 spl15_265 | spl15_266),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21819])).
% 60.76/9.52 thf(f21837,plain,(
% 60.76/9.52 $false | (~spl15_262 | ~spl15_265)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f19991,f18810])).
% 60.76/9.52 thf(f21838,plain,(
% 60.76/9.52 ~spl15_262 | ~spl15_265),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f21837])).
% 60.76/9.52 thf(f22003,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ $true))) | (~spl15_256 | ~spl15_265)),
% 60.76/9.52 inference(constrained_superposition,[],[f18672,f18810])).
% 60.76/9.52 thf(f22059,plain,(
% 60.76/9.52 ($false != ((sK2 @ = @ $true))) | ($false = sK27) | spl15_257),
% 60.76/9.52 inference(constrained_superposition,[],[f18675,f51])).
% 60.76/9.52 thf(f22185,plain,(
% 60.76/9.52 ($true = ((sK3 @ = @ $false))) | (~spl15_281 | ~spl15_282)),
% 60.76/9.52 inference(constrained_superposition,[],[f20612,f20683])).
% 60.76/9.52 thf(f22245,plain,(
% 60.76/9.52 ( ! [X0 : $o] : ((((sK1 @ = @ X0)) = X0) | ($false = X0)) ) | ~spl15_88),
% 60.76/9.52 inference(constrained_superposition,[],[f8169,f51])).
% 60.76/9.52 thf(f22289,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($true = ((sK1 @ = @ X0))) | ($false = X0) | ($false = X0)) ) | ~spl15_88),
% 60.76/9.52 inference(iff_proxy_clausification,[],[f22245])).
% 60.76/9.52 thf(f22291,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($true = ((sK1 @ = @ X0))) | ($false = X0)) ) | ~spl15_88),
% 60.76/9.52 inference(duplicate_literal_removal,[],[f22289])).
% 60.76/9.52 thf(f22304,plain,(
% 60.76/9.52 ( ! [X0 : $o] : (($false = ((sK3 @ = @ X0))) | ($false = X0)) ) | ~spl15_120),
% 60.76/9.52 inference(constrained_superposition,[],[f9514,f51])).
% 60.76/9.52 thf(f22551,plain,(
% 60.76/9.52 ($true = $false) | ($false = sK28) | (~spl15_120 | ~spl15_281)),
% 60.76/9.52 inference(constrained_superposition,[],[f22304,f20612])).
% 60.76/9.52 thf(f24029,plain,(
% 60.76/9.52 (((sK4 @ = @ sK29)) != ((sK5 @ = @ sK29))) | ~spl15_6),
% 60.76/9.52 inference(negative_extensionality,[],[f11537])).
% 60.76/9.52 thf(f24030,plain,(
% 60.76/9.52 ($true = ((sK4 @ = @ sK29))) | ($true = ((sK5 @ = @ sK29))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f24029])).
% 60.76/9.52 thf(f24031,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ sK29))) | ($false = ((sK5 @ = @ sK29))) | ~spl15_6),
% 60.76/9.52 inference(xor_proxy_clausification,[],[f24029])).
% 60.76/9.52 thf(f24033,definition,(
% 60.76/9.52 spl15_299 <=> ($false = ((sK5 @ = @ sK29)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_299])],[avatar_definition])).
% 60.76/9.52 thf(f24034,plain,(
% 60.76/9.52 ($false != ((sK5 @ = @ sK29))) | spl15_299),
% 60.76/9.52 inference(avatar_component_clause,[],[f24033])).
% 60.76/9.52 thf(f24035,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ sK29))) | ~spl15_299),
% 60.76/9.52 inference(avatar_component_clause,[],[f24033])).
% 60.76/9.52 thf(f24037,definition,(
% 60.76/9.52 spl15_300 <=> ($false = ((sK4 @ = @ sK29)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_300])],[avatar_definition])).
% 60.76/9.52 thf(f24038,plain,(
% 60.76/9.52 ($false != ((sK4 @ = @ sK29))) | spl15_300),
% 60.76/9.52 inference(avatar_component_clause,[],[f24037])).
% 60.76/9.52 thf(f24039,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ sK29))) | ~spl15_300),
% 60.76/9.52 inference(avatar_component_clause,[],[f24037])).
% 60.76/9.52 thf(f24040,plain,(
% 60.76/9.52 spl15_299 | spl15_300 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f24031,f112,f24037,f24033])).
% 60.76/9.52 thf(f24042,definition,(
% 60.76/9.52 spl15_301 <=> ($true = ((sK5 @ = @ sK29)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_301])],[avatar_definition])).
% 60.76/9.52 thf(f24044,plain,(
% 60.76/9.52 ($true = ((sK5 @ = @ sK29))) | ~spl15_301),
% 60.76/9.52 inference(avatar_component_clause,[],[f24042])).
% 60.76/9.52 thf(f24046,definition,(
% 60.76/9.52 spl15_302 <=> ($true = ((sK4 @ = @ sK29)))),
% 60.76/9.52 introduced(definition,[new_symbols(definition,[spl15_302])],[avatar_definition])).
% 60.76/9.52 thf(f24048,plain,(
% 60.76/9.52 ($true = ((sK4 @ = @ sK29))) | ~spl15_302),
% 60.76/9.52 inference(avatar_component_clause,[],[f24046])).
% 60.76/9.52 thf(f24049,plain,(
% 60.76/9.52 spl15_301 | spl15_302 | ~spl15_6),
% 60.76/9.52 inference(avatar_split_clause,[],[f24030,f112,f24046,f24042])).
% 60.76/9.52 thf(f24167,plain,(
% 60.76/9.52 ($true = $false) | ($false = sK29) | (~spl15_247 | ~spl15_301)),
% 60.76/9.52 inference(constrained_superposition,[],[f21696,f24044])).
% 60.76/9.52 thf(f24168,plain,(
% 60.76/9.52 ($false = sK29) | (~spl15_247 | ~spl15_301)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f24167])).
% 60.76/9.52 thf(f24273,plain,(
% 60.76/9.52 ($true = ((sK5 @ = @ $false))) | (~spl15_247 | ~spl15_301)),
% 60.76/9.52 inference(constrained_superposition,[],[f24044,f24168])).
% 60.76/9.52 thf(f24274,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ $false))) | (~spl15_247 | ~spl15_300 | ~spl15_301)),
% 60.76/9.52 inference(constrained_superposition,[],[f24039,f24168])).
% 60.76/9.52 thf(f24296,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_244 | ~spl15_247 | ~spl15_301)),
% 60.76/9.52 inference(forward_demodulation,[],[f24273,f18326])).
% 60.76/9.52 thf(f24297,plain,(
% 60.76/9.52 $false | (~spl15_244 | ~spl15_247 | ~spl15_301)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f24296])).
% 60.76/9.52 thf(f24298,plain,(
% 60.76/9.52 ~spl15_244 | ~spl15_247 | ~spl15_301),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f24297])).
% 60.76/9.52 thf(f24299,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_300 | ~spl15_302)),
% 60.76/9.52 inference(forward_demodulation,[],[f24048,f24039])).
% 60.76/9.52 thf(f24300,plain,(
% 60.76/9.52 $false | (~spl15_300 | ~spl15_302)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f24299])).
% 60.76/9.52 thf(f24301,plain,(
% 60.76/9.52 ~spl15_300 | ~spl15_302),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f24300])).
% 60.76/9.52 thf(f24302,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ $true))) | ($false = sK29) | ~spl15_299),
% 60.76/9.52 inference(constrained_superposition,[],[f24035,f51])).
% 60.76/9.52 thf(f24385,plain,(
% 60.76/9.52 ($false != $false) | ($false = sK29) | (~spl15_145 | spl15_300)),
% 60.76/9.52 inference(constrained_superposition,[],[f24038,f14375])).
% 60.76/9.52 thf(f24386,plain,(
% 60.76/9.52 ($false = sK29) | (~spl15_145 | spl15_300)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f24385])).
% 60.76/9.52 thf(f24426,plain,(
% 60.76/9.52 ($false != ((sK4 @ = @ $false))) | (~spl15_145 | spl15_300)),
% 60.76/9.52 inference(constrained_superposition,[],[f24038,f24386])).
% 60.76/9.52 thf(f24427,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ $false))) | (~spl15_145 | ~spl15_299 | spl15_300)),
% 60.76/9.52 inference(constrained_superposition,[],[f24035,f24386])).
% 60.76/9.52 thf(f24449,plain,(
% 60.76/9.52 $false | (~spl15_142 | ~spl15_145 | spl15_300)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f24426,f10147])).
% 60.76/9.52 thf(f24450,plain,(
% 60.76/9.52 ~spl15_142 | ~spl15_145 | spl15_300),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f24449])).
% 60.76/9.52 thf(f24452,plain,(
% 60.76/9.52 $false | (spl15_142 | ~spl15_164 | ~spl15_171)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f13285,f10146])).
% 60.76/9.52 thf(f24453,plain,(
% 60.76/9.52 spl15_142 | ~spl15_164 | ~spl15_171),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f24452])).
% 60.76/9.52 thf(f24454,plain,(
% 60.76/9.52 $false | (~spl15_120 | spl15_142 | ~spl15_164 | ~spl15_167)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f11819,f10146])).
% 60.76/9.52 thf(f24455,plain,(
% 60.76/9.52 ~spl15_120 | spl15_142 | ~spl15_164 | ~spl15_167),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f24454])).
% 60.76/9.52 thf(f24457,plain,(
% 60.76/9.52 ($false = sK24) | (spl15_85 | ~spl15_155)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f10741])).
% 60.76/9.52 thf(f24465,plain,(
% 60.76/9.52 spl15_211 | spl15_85 | ~spl15_155),
% 60.76/9.52 inference(avatar_split_clause,[],[f24457,f10705,f8079,f15077])).
% 60.76/9.52 thf(f24478,plain,(
% 60.76/9.52 ($false != ((sK4 @ = @ $false))) | (spl15_154 | ~spl15_211)),
% 60.76/9.52 inference(forward_demodulation,[],[f10702,f15079])).
% 60.76/9.52 thf(f24479,plain,(
% 60.76/9.52 ($false = ((sK2 @ = @ $false))) | (~spl15_155 | ~spl15_211)),
% 60.76/9.52 inference(forward_demodulation,[],[f10707,f15079])).
% 60.76/9.52 thf(f24484,plain,(
% 60.76/9.52 ($true != $true) | ($false = sK23) | spl15_144),
% 60.76/9.52 inference(constrained_superposition,[],[f10156,f51])).
% 60.76/9.52 thf(f24506,plain,(
% 60.76/9.52 ($false = sK23) | spl15_144),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f24484])).
% 60.76/9.52 thf(f24524,plain,(
% 60.76/9.52 ($true = ((sK1 @ = @ $true))) | (~spl15_139 | ~spl15_144)),
% 60.76/9.52 inference(constrained_superposition,[],[f10087,f10157])).
% 60.76/9.52 thf(f24668,plain,(
% 60.76/9.52 ($false != $false) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK25)))) @ Y0 @ Y1)))))))) | ($false = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK25)))) @ Y0 @ Y1)))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK25)))) @ Y0 @ Y1))))))))) | spl15_171),
% 60.76/9.52 inference(constrained_superposition,[],[f11845,f563])).
% 60.76/9.52 thf(f24669,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK25)))) @ Y0 @ Y1)))))))) | ($false = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK25)))) @ Y0 @ Y1)))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK25)))) @ Y0 @ Y1))))))))) | spl15_171),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f24668])).
% 60.76/9.52 thf(f24670,plain,(
% 60.76/9.52 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK25))))))) | ($false = sK25) | spl15_171),
% 60.76/9.52 inference(beta-eta_normalization,[],[f24669])).
% 60.76/9.52 thf(f24680,plain,(
% 60.76/9.52 ($false = sK25) | (spl15_171 | spl15_191)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f24670,f12984])).
% 60.76/9.52 thf(f24682,plain,(
% 60.76/9.52 $false | (spl15_171 | spl15_191)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f24680,f11845])).
% 60.76/9.52 thf(f24683,plain,(
% 60.76/9.52 spl15_171 | spl15_191),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f24682])).
% 60.76/9.52 thf(f24734,plain,(
% 60.76/9.52 $false | (~spl15_168 | ~spl15_191)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f16946,f16592])).
% 60.76/9.52 thf(f24735,plain,(
% 60.76/9.52 ~spl15_168 | ~spl15_191),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f24734])).
% 60.76/9.52 thf(f24860,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $true))) | ($false = sK23) | ~spl15_137),
% 60.76/9.52 inference(constrained_superposition,[],[f10078,f51])).
% 60.76/9.52 thf(f24878,plain,(
% 60.76/9.52 ($true = $false) | ($false = sK23) | (~spl15_88 | ~spl15_137)),
% 60.76/9.52 inference(constrained_superposition,[],[f10078,f22291])).
% 60.76/9.52 thf(f24914,plain,(
% 60.76/9.52 ($false = sK23) | (~spl15_88 | ~spl15_137)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f24878])).
% 60.76/9.52 thf(f24937,plain,(
% 60.76/9.52 $false | (~spl15_88 | ~spl15_137 | spl15_146)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f24914,f10165])).
% 60.76/9.52 thf(f24938,plain,(
% 60.76/9.52 ~spl15_88 | ~spl15_137 | spl15_146),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f24937])).
% 60.76/9.52 thf(f24943,plain,(
% 60.76/9.52 ($false = ((sK1 @ = @ $true))) | (~spl15_137 | spl15_146)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f24860,f10165])).
% 60.76/9.52 thf(f24945,plain,(
% 60.76/9.52 spl15_198 | ~spl15_137 | spl15_146),
% 60.76/9.52 inference(avatar_split_clause,[],[f24943,f10164,f10076,f13117])).
% 60.76/9.52 thf(f24947,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ $true))) | (~spl15_136 | ~spl15_144)),
% 60.76/9.52 inference(forward_demodulation,[],[f10074,f10157])).
% 60.76/9.52 thf(f24950,plain,(
% 60.76/9.52 $false | (~spl15_142 | spl15_154 | ~spl15_211)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f24478,f10147])).
% 60.76/9.52 thf(f24951,plain,(
% 60.76/9.52 ~spl15_142 | spl15_154 | ~spl15_211),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f24950])).
% 60.76/9.52 thf(f24977,plain,(
% 60.76/9.52 ($false != ((sK1 @ = @ $true))) | (spl15_71 | ~spl15_84)),
% 60.76/9.52 inference(forward_demodulation,[],[f7730,f8077])).
% 60.76/9.52 thf(f24979,plain,(
% 60.76/9.52 spl15_86 | ~spl15_70 | ~spl15_93),
% 60.76/9.52 inference(avatar_split_clause,[],[f13348,f8665,f7725,f8084])).
% 60.76/9.52 thf(f24989,plain,(
% 60.76/9.52 ($false = sK27) | (~spl15_85 | spl15_257)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f22059,f8081])).
% 60.76/9.52 thf(f25016,plain,(
% 60.76/9.52 $false | (spl15_82 | ~spl15_130 | ~spl15_174)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f21099,f8066])).
% 60.76/9.52 thf(f25017,plain,(
% 60.76/9.52 spl15_82 | ~spl15_130 | ~spl15_174),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f25016])).
% 60.76/9.52 thf(f25020,plain,(
% 60.76/9.52 $false | (spl15_82 | ~spl15_155 | ~spl15_211)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f24479,f8066])).
% 60.76/9.52 thf(f25021,plain,(
% 60.76/9.52 spl15_82 | ~spl15_155 | ~spl15_211),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f25020])).
% 60.76/9.52 thf(f25026,plain,(
% 60.76/9.52 $false | (~spl15_85 | spl15_257 | spl15_266)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f24989,f18814])).
% 60.76/9.52 thf(f25027,plain,(
% 60.76/9.52 ~spl15_85 | spl15_257 | spl15_266),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f25026])).
% 60.76/9.52 thf(f25062,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_85 | ~spl15_132 | ~spl15_173)),
% 60.76/9.52 inference(forward_demodulation,[],[f12043,f8081])).
% 60.76/9.52 thf(f25063,plain,(
% 60.76/9.52 $false | (~spl15_85 | ~spl15_132 | ~spl15_173)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f25062])).
% 60.76/9.52 thf(f25064,plain,(
% 60.76/9.52 ~spl15_85 | ~spl15_132 | ~spl15_173),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f25063])).
% 60.76/9.52 thf(f25068,plain,(
% 60.76/9.52 spl15_266 | spl15_265),
% 60.76/9.52 inference(avatar_split_clause,[],[f19058,f18808,f18813])).
% 60.76/9.52 thf(f25115,plain,(
% 60.76/9.52 ($false != ((sK3 @ = @ $true))) | (spl15_129 | ~spl15_173)),
% 60.76/9.52 inference(forward_demodulation,[],[f9952,f11855])).
% 60.76/9.52 thf(f25118,plain,(
% 60.76/9.52 ($true = ((sK3 @ = @ $true))) | (~spl15_131 | ~spl15_173)),
% 60.76/9.52 inference(forward_demodulation,[],[f9962,f11855])).
% 60.76/9.52 thf(f25120,plain,(
% 60.76/9.52 $false | (~spl15_120 | spl15_129 | ~spl15_173)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f25115,f9514])).
% 60.76/9.52 thf(f25121,plain,(
% 60.76/9.52 ~spl15_120 | spl15_129 | ~spl15_173),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f25120])).
% 60.76/9.52 thf(f25123,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_120 | ~spl15_131 | ~spl15_173)),
% 60.76/9.52 inference(forward_demodulation,[],[f25118,f9514])).
% 60.76/9.52 thf(f25124,plain,(
% 60.76/9.52 $false | (~spl15_120 | ~spl15_131 | ~spl15_173)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f25123])).
% 60.76/9.52 thf(f25125,plain,(
% 60.76/9.52 ~spl15_120 | ~spl15_131 | ~spl15_173),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f25124])).
% 60.76/9.52 thf(f25129,plain,(
% 60.76/9.52 spl15_174 | spl15_173),
% 60.76/9.52 inference(avatar_split_clause,[],[f21127,f11853,f11858])).
% 60.76/9.52 thf(f25184,plain,(
% 60.76/9.52 ($false = sK29) | (spl15_247 | ~spl15_299)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f24302,f18339])).
% 60.76/9.52 thf(f25632,plain,(
% 60.76/9.52 ($false != ((sK4 @ = @ $false))) | (spl15_247 | ~spl15_299 | spl15_300)),
% 60.76/9.52 inference(constrained_superposition,[],[f24038,f25184])).
% 60.76/9.52 thf(f25633,plain,(
% 60.76/9.52 ($false = ((sK5 @ = @ $false))) | (spl15_247 | ~spl15_299)),
% 60.76/9.52 inference(constrained_superposition,[],[f24035,f25184])).
% 60.76/9.52 thf(f25655,plain,(
% 60.76/9.52 $false | (~spl15_142 | spl15_247 | ~spl15_299 | spl15_300)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f25632,f10147])).
% 60.76/9.52 thf(f25656,plain,(
% 60.76/9.52 ~spl15_142 | spl15_247 | ~spl15_299 | spl15_300),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f25655])).
% 60.76/9.52 thf(f25660,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_299 | ~spl15_301)),
% 60.76/9.52 inference(forward_demodulation,[],[f24044,f24035])).
% 60.76/9.52 thf(f25661,plain,(
% 60.76/9.52 $false | (~spl15_299 | ~spl15_301)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f25660])).
% 60.76/9.52 thf(f25662,plain,(
% 60.76/9.52 ~spl15_299 | ~spl15_301),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f25661])).
% 60.76/9.52 thf(f25928,plain,(
% 60.76/9.52 ($false != ((sK3 @ = @ $false))) | ($true = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK22)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK22)))) @ Y0 @ Y1)))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK22)))) @ Y0 @ Y1))))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ ((^[Y2 : $o > $o]: ((^[Y3 : $o > $o]: (sK22)))) @ Y0 @ Y1)))))))) | spl15_129),
% 60.76/9.52 inference(constrained_superposition,[],[f9952,f840])).
% 60.76/9.52 thf(f25930,plain,(
% 60.76/9.52 ($false != ((sK3 @ = @ $false))) | (spl15_129 | ~spl15_174)),
% 60.76/9.52 inference(constrained_superposition,[],[f9952,f11860])).
% 60.76/9.52 thf(f25960,plain,(
% 60.76/9.52 ($false != ((sK3 @ = @ $false))) | ($true = sK22) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22))))))) | spl15_129),
% 60.76/9.52 inference(beta-eta_normalization,[],[f25928])).
% 60.76/9.52 thf(f26105,plain,(
% 60.76/9.52 ($false != ((sK4 @ = @ $true))) | ($false = sK24) | spl15_154),
% 60.76/9.52 inference(constrained_superposition,[],[f10702,f51])).
% 60.76/9.52 thf(f26247,plain,(
% 60.76/9.52 ($true = ((sK4 @ = @ $true))) | ($false = sK24) | ~spl15_156),
% 60.76/9.52 inference(constrained_superposition,[],[f10712,f51])).
% 60.76/9.52 thf(f26430,plain,(
% 60.76/9.52 ($true = ((sK4 @ = @ $true))) | ($false = (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25)))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25))))))) | (~spl15_23 | ~spl15_166)),
% 60.76/9.52 inference(constrained_superposition,[],[f11679,f856])).
% 60.76/9.52 thf(f26488,plain,(
% 60.76/9.52 ($true = ((sK4 @ = @ $true))) | ($false = sK25) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK25))))))) | (~spl15_23 | ~spl15_166)),
% 60.76/9.52 inference(beta-eta_normalization,[],[f26430])).
% 60.76/9.52 thf(f26746,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ $true))) | ($false = sK29) | ~spl15_300),
% 60.76/9.52 inference(constrained_superposition,[],[f24039,f51])).
% 60.76/9.52 thf(f26807,plain,(
% 60.76/9.52 ($false = sK29) | (spl15_145 | ~spl15_300)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f26746,f10160])).
% 60.76/9.52 thf(f26824,plain,(
% 60.76/9.52 ($false = ((sK4 @ = @ $false))) | (spl15_145 | ~spl15_300)),
% 60.76/9.52 inference(constrained_superposition,[],[f24039,f26807])).
% 60.76/9.52 thf(f26825,plain,(
% 60.76/9.52 ($false != ((sK5 @ = @ $false))) | (spl15_145 | spl15_299 | ~spl15_300)),
% 60.76/9.52 inference(constrained_superposition,[],[f24034,f26807])).
% 60.76/9.52 thf(f26886,plain,(
% 60.76/9.52 ($true = ((sK4 @ = @ $true))) | (~spl15_156 | spl15_211)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f26247,f15078])).
% 60.76/9.52 thf(f26892,plain,(
% 60.76/9.52 ($false = sK24) | (~spl15_145 | spl15_154)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f26105,f10161])).
% 60.76/9.52 thf(f26905,plain,(
% 60.76/9.52 $false | (~spl15_145 | spl15_154 | spl15_211)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f26892,f15078])).
% 60.76/9.52 thf(f26906,plain,(
% 60.76/9.52 ~spl15_145 | spl15_154 | spl15_211),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f26905])).
% 60.76/9.52 thf(f26920,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $true))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (sK24))))))) | (~spl15_23 | ~spl15_157 | spl15_211)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f11001,f15078])).
% 60.76/9.52 thf(f26921,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_85 | ~spl15_157 | ~spl15_200)),
% 60.76/9.52 inference(forward_demodulation,[],[f17471,f8081])).
% 60.76/9.52 thf(f26922,plain,(
% 60.76/9.52 $false | (~spl15_85 | ~spl15_157 | ~spl15_200)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f26921])).
% 60.76/9.52 thf(f26923,plain,(
% 60.76/9.52 ~spl15_85 | ~spl15_157 | ~spl15_200),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f26922])).
% 60.76/9.52 thf(f26925,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $true))) | (~spl15_23 | ~spl15_157 | spl15_158 | spl15_211)),
% 60.76/9.52 inference(forward_subsumption_resolution,[],[f26920,f10783])).
% 60.76/9.52 thf(f26926,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_23 | ~spl15_85 | ~spl15_157 | spl15_158 | spl15_211)),
% 60.76/9.52 inference(forward_demodulation,[],[f26925,f8081])).
% 60.76/9.52 thf(f26927,plain,(
% 60.76/9.52 $false | (~spl15_23 | ~spl15_85 | ~spl15_157 | spl15_158 | spl15_211)),
% 60.76/9.52 inference(trivial_inequality_removal,[],[f26926])).
% 60.76/9.52 thf(f26928,plain,(
% 60.76/9.52 ~spl15_23 | ~spl15_85 | ~spl15_157 | spl15_158 | spl15_211),
% 60.76/9.52 inference(avatar_contradiction_clause,[],[f26927])).
% 60.76/9.52 thf(f26938,plain,(
% 60.76/9.52 ($true = ((sK2 @ = @ $false))) | (~spl15_157 | ~spl15_211)),
% 60.76/9.52 inference(forward_demodulation,[],[f10716,f15079])).
% 60.76/9.52 thf(f26940,plain,(
% 60.76/9.52 ($true = $false) | (~spl15_82 | ~spl15_157 | ~spl15_211)),
% 60.76/9.53 inference(forward_demodulation,[],[f26938,f8067])).
% 60.76/9.53 thf(f26941,plain,(
% 60.76/9.53 $false | (~spl15_82 | ~spl15_157 | ~spl15_211)),
% 60.76/9.53 inference(trivial_inequality_removal,[],[f26940])).
% 60.76/9.53 thf(f26942,plain,(
% 60.76/9.53 ~spl15_82 | ~spl15_157 | ~spl15_211),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f26941])).
% 60.76/9.53 thf(f26973,plain,(
% 60.76/9.53 ($true = ((sK4 @ = @ $false))) | (~spl15_138 | ~spl15_146)),
% 60.76/9.53 inference(forward_demodulation,[],[f10083,f10166])).
% 60.76/9.53 thf(f26975,plain,(
% 60.76/9.53 ~spl15_244 | spl15_145 | spl15_299 | ~spl15_300),
% 60.76/9.53 inference(avatar_split_clause,[],[f26825,f24037,f24033,f10159,f18324])).
% 60.76/9.53 thf(f26986,plain,(
% 60.76/9.53 spl15_175 | ~spl15_156 | spl15_211),
% 60.76/9.53 inference(avatar_split_clause,[],[f26886,f15077,f10710,f12209])).
% 60.76/9.53 thf(f26993,plain,(
% 60.76/9.53 ($true = ((sK5 @ = @ $false))) | (~spl15_240 | ~spl15_242)),
% 60.76/9.53 inference(forward_demodulation,[],[f18248,f18318])).
% 60.76/9.53 thf(f27040,plain,(
% 60.76/9.53 ($true = $false) | (~spl15_138 | ~spl15_142 | ~spl15_146)),
% 60.76/9.53 inference(forward_demodulation,[],[f26973,f10147])).
% 60.76/9.53 thf(f27041,plain,(
% 60.76/9.53 $false | (~spl15_138 | ~spl15_142 | ~spl15_146)),
% 60.76/9.53 inference(trivial_inequality_removal,[],[f27040])).
% 60.76/9.53 thf(f27042,plain,(
% 60.76/9.53 ~spl15_138 | ~spl15_142 | ~spl15_146),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f27041])).
% 60.76/9.53 thf(f27079,plain,(
% 60.76/9.53 ~spl15_84 | ~spl15_80),
% 60.76/9.53 inference(avatar_split_clause,[],[f15609,f8057,f8075])).
% 60.76/9.53 thf(f27080,plain,(
% 60.76/9.53 spl15_86 | spl15_84),
% 60.76/9.53 inference(avatar_split_clause,[],[f13203,f8075,f8084])).
% 60.76/9.53 thf(f27089,plain,(
% 60.76/9.53 spl15_121 | spl15_111 | ~spl15_120),
% 60.76/9.53 inference(avatar_split_clause,[],[f13096,f9512,f9425,f9517])).
% 60.76/9.53 thf(f27093,plain,(
% 60.76/9.53 spl15_121 | spl15_119),
% 60.76/9.53 inference(avatar_split_clause,[],[f12274,f9508,f9517])).
% 60.76/9.53 thf(f27120,plain,(
% 60.76/9.53 ($true = ((sK4 @ = @ $true))) | (~spl15_138 | ~spl15_144)),
% 60.76/9.53 inference(forward_demodulation,[],[f10083,f10157])).
% 60.76/9.53 thf(f27157,plain,(
% 60.76/9.53 ($true = ((sK1 @ = @ $false))) | (~spl15_73 | ~spl15_86)),
% 60.76/9.53 inference(forward_demodulation,[],[f7740,f8086])).
% 60.76/9.53 thf(f27174,plain,(
% 60.76/9.53 $false | (~spl15_73 | ~spl15_86 | spl15_87)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f27157,f8162])).
% 60.76/9.53 thf(f27175,plain,(
% 60.76/9.53 ~spl15_73 | ~spl15_86 | spl15_87),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f27174])).
% 60.76/9.53 thf(f27222,plain,(
% 60.76/9.53 spl15_80 | spl15_86 | ~spl15_85 | ~spl15_23 | spl15_70),
% 60.76/9.53 inference(avatar_split_clause,[],[f8565,f7725,f855,f8079,f8084,f8057])).
% 60.76/9.53 thf(f27224,plain,(
% 60.76/9.53 spl15_80 | spl15_93 | ~spl15_23 | ~spl15_72 | spl15_86),
% 60.76/9.53 inference(avatar_split_clause,[],[f8669,f8084,f7734,f855,f8665,f8057])).
% 60.76/9.53 thf(f27259,plain,(
% 60.76/9.53 ($true = $false) | (~spl15_138 | ~spl15_144 | ~spl15_145)),
% 60.76/9.53 inference(forward_demodulation,[],[f27120,f10161])).
% 60.76/9.53 thf(f27260,plain,(
% 60.76/9.53 $false | (~spl15_138 | ~spl15_144 | ~spl15_145)),
% 60.76/9.53 inference(trivial_inequality_removal,[],[f27259])).
% 60.76/9.53 thf(f27261,plain,(
% 60.76/9.53 ~spl15_138 | ~spl15_144 | ~spl15_145),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f27260])).
% 60.76/9.53 thf(f27274,plain,(
% 60.76/9.53 ($true = sK25) | ~spl15_191),
% 60.76/9.53 inference(not_proxy_clausification,[],[f16918])).
% 60.76/9.53 thf(f27341,plain,(
% 60.76/9.53 spl15_146 | spl15_144),
% 60.76/9.53 inference(avatar_split_clause,[],[f24506,f10155,f10164])).
% 60.76/9.53 thf(f27344,plain,(
% 60.76/9.53 spl15_244 | ~spl15_238 | ~spl15_242),
% 60.76/9.53 inference(avatar_split_clause,[],[f18834,f18316,f18237,f18324])).
% 60.76/9.53 thf(f27345,plain,(
% 60.76/9.53 $false | (spl15_247 | ~spl15_256 | ~spl15_265)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f22003,f18339])).
% 60.76/9.53 thf(f27346,plain,(
% 60.76/9.53 spl15_247 | ~spl15_256 | ~spl15_265),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f27345])).
% 60.76/9.53 thf(f27402,plain,(
% 60.76/9.53 ~spl15_265 | ~spl15_262),
% 60.76/9.53 inference(avatar_split_clause,[],[f20005,f18787,f18808])).
% 60.76/9.53 thf(f27409,plain,(
% 60.76/9.53 $false | (~spl15_117 | spl15_129 | ~spl15_174)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f25930,f9500])).
% 60.76/9.53 thf(f27410,plain,(
% 60.76/9.53 ~spl15_117 | spl15_129 | ~spl15_174),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f27409])).
% 60.76/9.53 thf(f27411,plain,(
% 60.76/9.53 ($true = sK22) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22))))))) | (~spl15_117 | spl15_129)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f25960,f9500])).
% 60.76/9.53 thf(f27412,plain,(
% 60.76/9.53 $false | (spl15_111 | ~spl15_117 | ~spl15_121)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f12034,f9500])).
% 60.76/9.53 thf(f27413,plain,(
% 60.76/9.53 spl15_111 | ~spl15_117 | ~spl15_121),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f27412])).
% 60.76/9.53 thf(f27415,plain,(
% 60.76/9.53 ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (~ sK22))))))) | (~spl15_117 | spl15_129 | spl15_173)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f27411,f11854])).
% 60.76/9.53 thf(f27416,plain,(
% 60.76/9.53 $false | (~spl15_117 | spl15_129 | spl15_173 | spl15_176)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f27415,f12899])).
% 60.76/9.53 thf(f27417,plain,(
% 60.76/9.53 ~spl15_117 | spl15_129 | spl15_173 | spl15_176),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f27416])).
% 60.76/9.53 thf(f27438,plain,(
% 60.76/9.53 $false | (spl15_142 | spl15_145 | ~spl15_300)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f26824,f10146])).
% 60.76/9.53 thf(f27439,plain,(
% 60.76/9.53 spl15_142 | spl15_145 | ~spl15_300),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f27438])).
% 60.76/9.53 thf(f27448,plain,(
% 60.76/9.53 ($false = ((sK3 @ = @ $true))) | (~spl15_165 | ~spl15_191)),
% 60.76/9.53 inference(forward_demodulation,[],[f11674,f27274])).
% 60.76/9.53 thf(f27462,plain,(
% 60.76/9.53 spl15_244 | spl15_247 | ~spl15_299),
% 60.76/9.53 inference(avatar_split_clause,[],[f25633,f24033,f18338,f18324])).
% 60.76/9.53 thf(f29854,plain,(
% 60.76/9.53 ($true = $false) | (~spl15_278 | ~spl15_280)),
% 60.76/9.53 inference(constrained_superposition,[],[f20608,f20599])).
% 60.76/9.53 thf(f29889,plain,(
% 60.76/9.53 $false | (~spl15_278 | ~spl15_280)),
% 60.76/9.53 inference(trivial_inequality_removal,[],[f29854])).
% 60.76/9.53 thf(f29890,plain,(
% 60.76/9.53 ~spl15_278 | ~spl15_280),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f29889])).
% 60.76/9.53 thf(f31659,plain,(
% 60.76/9.53 ($true = $false) | (~spl15_240 | ~spl15_242 | ~spl15_244)),
% 60.76/9.53 inference(constrained_superposition,[],[f18326,f26993])).
% 60.76/9.53 thf(f31698,plain,(
% 60.76/9.53 $false | (~spl15_240 | ~spl15_242 | ~spl15_244)),
% 60.76/9.53 inference(trivial_inequality_removal,[],[f31659])).
% 60.76/9.53 thf(f31699,plain,(
% 60.76/9.53 ~spl15_240 | ~spl15_242 | ~spl15_244),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f31698])).
% 60.76/9.53 thf(f31714,plain,(
% 60.76/9.53 ($true = ((sK1 @ = @ $false))) | (~spl15_241 | ~spl15_242)),
% 60.76/9.53 inference(forward_demodulation,[],[f18252,f18318])).
% 60.76/9.53 thf(f31731,plain,(
% 60.76/9.53 $false | (spl15_87 | ~spl15_241 | ~spl15_242)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f31714,f8162])).
% 60.76/9.53 thf(f31732,plain,(
% 60.76/9.53 spl15_87 | ~spl15_241 | ~spl15_242),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f31731])).
% 60.76/9.53 thf(f31793,plain,(
% 60.76/9.53 $false | (spl15_120 | ~spl15_165 | ~spl15_191)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f27448,f9513])).
% 60.76/9.53 thf(f31794,plain,(
% 60.76/9.53 spl15_120 | ~spl15_165 | ~spl15_191),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f31793])).
% 60.76/9.53 thf(f31810,plain,(
% 60.76/9.53 ($false = ((sK4 @ = @ $true))) | (~spl15_164 | ~spl15_191)),
% 60.76/9.53 inference(forward_demodulation,[],[f11670,f27274])).
% 60.76/9.53 thf(f31813,plain,(
% 60.76/9.53 ($true != ((sK4 @ = @ $true))) | (spl15_166 | ~spl15_191)),
% 60.76/9.53 inference(forward_demodulation,[],[f11678,f27274])).
% 60.76/9.53 thf(f31816,plain,(
% 60.76/9.53 $false | (spl15_145 | ~spl15_164 | ~spl15_191)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f31810,f10160])).
% 60.76/9.53 thf(f31817,plain,(
% 60.76/9.53 spl15_145 | ~spl15_164 | ~spl15_191),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f31816])).
% 60.76/9.53 thf(f31819,plain,(
% 60.76/9.53 $false | (spl15_166 | ~spl15_175 | ~spl15_191)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f31813,f12211])).
% 60.76/9.53 thf(f31820,plain,(
% 60.76/9.53 spl15_166 | ~spl15_175 | ~spl15_191),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f31819])).
% 60.76/9.53 thf(f31827,plain,(
% 60.76/9.53 spl15_244 | ~spl15_145 | ~spl15_299 | spl15_300),
% 60.76/9.53 inference(avatar_split_clause,[],[f24427,f24037,f24033,f10159,f18324])).
% 60.76/9.53 thf(f31833,plain,(
% 60.76/9.53 $false | (spl15_142 | ~spl15_247 | ~spl15_300 | ~spl15_301)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f24274,f10146])).
% 60.76/9.53 thf(f31834,plain,(
% 60.76/9.53 spl15_142 | ~spl15_247 | ~spl15_300 | ~spl15_301),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f31833])).
% 60.76/9.53 thf(f31845,plain,(
% 60.76/9.53 ($false = sK28) | (~spl15_120 | ~spl15_281)),
% 60.76/9.53 inference(trivial_inequality_removal,[],[f22551])).
% 60.76/9.53 thf(f31913,plain,(
% 60.76/9.53 ($false = sK28) | (~spl15_247 | spl15_278)),
% 60.76/9.53 inference(trivial_inequality_removal,[],[f20954])).
% 60.76/9.53 thf(f31929,plain,(
% 60.76/9.53 spl15_282 | ~spl15_120 | ~spl15_281),
% 60.76/9.53 inference(avatar_split_clause,[],[f31845,f20610,f9512,f20681])).
% 60.76/9.53 thf(f31932,plain,(
% 60.76/9.53 ($false = ((sK4 @ = @ $false))) | (~spl15_154 | ~spl15_211)),
% 60.76/9.53 inference(forward_demodulation,[],[f10703,f15079])).
% 60.76/9.53 thf(f31933,plain,(
% 60.76/9.53 $false | (spl15_142 | ~spl15_154 | ~spl15_158)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f11140,f10146])).
% 60.76/9.53 thf(f31934,plain,(
% 60.76/9.53 spl15_142 | ~spl15_154 | ~spl15_158),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f31933])).
% 60.76/9.53 thf(f31947,plain,(
% 60.76/9.53 ($true = ((sK4 @ = @ $true))) | ($false = sK25) | (~spl15_23 | ~spl15_166 | spl15_168)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f26488,f11787])).
% 60.76/9.53 thf(f31958,plain,(
% 60.76/9.53 ~spl15_244 | spl15_278 | ~spl15_282),
% 60.76/9.53 inference(avatar_split_clause,[],[f20757,f20681,f20597,f18324])).
% 60.76/9.53 thf(f31959,plain,(
% 60.76/9.53 spl15_282 | ~spl15_247 | spl15_278),
% 60.76/9.53 inference(avatar_split_clause,[],[f31913,f20597,f18338,f20681])).
% 60.76/9.53 thf(f31961,plain,(
% 60.76/9.53 ($true = $false) | (~spl15_117 | ~spl15_281 | ~spl15_282)),
% 60.76/9.53 inference(forward_demodulation,[],[f22185,f9500])).
% 60.76/9.53 thf(f31962,plain,(
% 60.76/9.53 $false | (~spl15_117 | ~spl15_281 | ~spl15_282)),
% 60.76/9.53 inference(trivial_inequality_removal,[],[f31961])).
% 60.76/9.53 thf(f31963,plain,(
% 60.76/9.53 ~spl15_117 | ~spl15_281 | ~spl15_282),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f31962])).
% 60.76/9.53 thf(f32014,plain,(
% 60.76/9.53 $false | (spl15_142 | ~spl15_154 | ~spl15_211)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f31932,f10146])).
% 60.76/9.53 thf(f32015,plain,(
% 60.76/9.53 spl15_142 | ~spl15_154 | ~spl15_211),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f32014])).
% 60.76/9.53 thf(f32092,plain,(
% 60.76/9.53 spl15_145 | ~spl15_136 | ~spl15_144),
% 60.76/9.53 inference(avatar_split_clause,[],[f24947,f10155,f10072,f10159])).
% 60.76/9.53 thf(f32095,plain,(
% 60.76/9.53 $false | (spl15_88 | ~spl15_139 | ~spl15_144)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f24524,f8168])).
% 60.76/9.53 thf(f32096,plain,(
% 60.76/9.53 spl15_88 | ~spl15_139 | ~spl15_144),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f32095])).
% 60.76/9.53 thf(f32145,plain,(
% 60.76/9.53 ($true = ((sK4 @ = @ $true))) | (~spl15_138 | ~spl15_144)),
% 60.76/9.53 inference(forward_demodulation,[],[f10083,f10157])).
% 60.76/9.53 thf(f32150,plain,(
% 60.76/9.53 spl15_211 | spl15_145 | ~spl15_154),
% 60.76/9.53 inference(avatar_split_clause,[],[f13167,f10701,f10159,f15077])).
% 60.76/9.53 thf(f32155,plain,(
% 60.76/9.53 ($true = $false) | (~spl15_117 | ~spl15_167 | ~spl15_171)),
% 60.76/9.53 inference(forward_demodulation,[],[f13288,f9500])).
% 60.76/9.53 thf(f32156,plain,(
% 60.76/9.53 $false | (~spl15_117 | ~spl15_167 | ~spl15_171)),
% 60.76/9.53 inference(trivial_inequality_removal,[],[f32155])).
% 60.76/9.53 thf(f32157,plain,(
% 60.76/9.53 ~spl15_117 | ~spl15_167 | ~spl15_171),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f32156])).
% 60.76/9.53 thf(f32165,plain,(
% 60.76/9.53 $false | (~spl15_138 | ~spl15_144 | spl15_175)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f32145,f12210])).
% 60.76/9.53 thf(f32166,plain,(
% 60.76/9.53 ~spl15_138 | ~spl15_144 | spl15_175),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f32165])).
% 60.76/9.53 thf(f32294,plain,(
% 60.76/9.53 spl15_171 | spl15_175 | ~spl15_23 | ~spl15_166 | spl15_168),
% 60.76/9.53 inference(avatar_split_clause,[],[f31947,f11786,f11677,f855,f12209,f11844])).
% 60.76/9.53 thf(f32304,plain,(
% 60.76/9.53 $false | (spl15_244 | ~spl15_256 | ~spl15_266)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f21803,f18325])).
% 60.76/9.53 thf(f32305,plain,(
% 60.76/9.53 spl15_244 | ~spl15_256 | ~spl15_266),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f32304])).
% 60.76/9.53 thf(f32420,plain,(
% 60.76/9.53 ~spl15_8 | spl15_6 | ~spl15_7 | ~spl15_75),
% 60.76/9.53 inference(avatar_split_clause,[],[f7920,f7763,f116,f112,f120])).
% 60.76/9.53 thf(f32425,plain,(
% 60.76/9.53 ~spl15_198 | spl15_71 | ~spl15_84),
% 60.76/9.53 inference(avatar_split_clause,[],[f24977,f8075,f7729,f13117])).
% 60.76/9.53 thf(f32474,plain,(
% 60.76/9.53 ($true = ((sP0 @ =))) | (((sK14 @ =)) = ((sK13 @ =))) | (~spl15_7 | ~spl15_75)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f7909,f118])).
% 60.76/9.53 thf(f32509,plain,(
% 60.76/9.53 (((sK14 @ =)) = ((sK13 @ =))) | (spl15_6 | ~spl15_7 | ~spl15_75)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f32474,f113])).
% 60.76/9.53 thf(f32510,plain,(
% 60.76/9.53 $false | (spl15_6 | ~spl15_7 | spl15_8 | ~spl15_75)),
% 60.76/9.53 inference(forward_subsumption_resolution,[],[f32509,f121])).
% 60.76/9.53 thf(f32511,plain,(
% 60.76/9.53 spl15_6 | ~spl15_7 | spl15_8 | ~spl15_75),
% 60.76/9.53 inference(avatar_contradiction_clause,[],[f32510])).
% 60.76/9.53 cnf(s3, plain, spl15_6 | spl15_7 | spl15_8, inference(sat_conversion,[],[f123])).
% 60.76/9.53 cnf(s6, plain, spl15_12, inference(sat_conversion,[],[f170])).
% 60.76/9.53 cnf(s23, plain, spl15_23, inference(sat_conversion,[],[f863])).
% 60.76/9.53 cnf(s161, plain, ~spl15_6 | spl15_70 | spl15_71, inference(sat_conversion,[],[f7732])).
% 60.76/9.53 cnf(s162, plain, ~spl15_6 | spl15_72 | spl15_73, inference(sat_conversion,[],[f7741])).
% 60.76/9.53 cnf(s165, plain, spl15_6 | spl15_8 | spl15_75, inference(sat_conversion,[],[f7766])).
% 60.76/9.53 cnf(s176, plain, spl15_6 | ~spl15_8 | ~spl15_23 | spl15_75, inference(sat_conversion,[],[f7777])).
% 60.76/9.53 cnf(s184, plain, spl15_6 | spl15_7 | ~spl15_8 | ~spl15_12, inference(sat_conversion,[],[f7940])).
% 60.76/9.53 cnf(s191, plain, ~spl15_70 | spl15_85 | spl15_86, inference(sat_conversion,[],[f8090])).
% 60.76/9.53 cnf(s198, plain, ~spl15_73 | spl15_86 | spl15_88, inference(sat_conversion,[],[f8174])).
% 60.76/9.53 cnf(s210, plain, spl15_70 | ~spl15_82 | ~spl15_86, inference(sat_conversion,[],[f8457])).
% 60.76/9.53 cnf(s211, plain, spl15_80 | ~spl15_86, inference(sat_conversion,[],[f8494])).
% 60.76/9.53 cnf(s214, plain, ~spl15_71 | ~spl15_73, inference(sat_conversion,[],[f8607])).
% 60.76/9.53 cnf(s216, plain, ~spl15_23 | ~spl15_71 | spl15_80 | spl15_86 | ~spl15_88, inference(sat_conversion,[],[f8626])).
% 60.76/9.53 cnf(s219, plain, ~spl15_72 | spl15_86 | spl15_93, inference(sat_conversion,[],[f8672])).
% 60.76/9.53 cnf(s248, plain, ~spl15_6 | spl15_111 | spl15_112, inference(sat_conversion,[],[f9432])).
% 60.76/9.53 cnf(s249, plain, ~spl15_6 | spl15_113 | spl15_114, inference(sat_conversion,[],[f9441])).
% 60.76/9.53 cnf(s256, plain, ~spl15_111 | spl15_120 | spl15_121, inference(sat_conversion,[],[f9523])).
% 60.76/9.53 cnf(s257, plain, ~spl15_71 | spl15_86 | ~spl15_114 | spl15_121, inference(sat_conversion,[],[f9562])).
% 60.76/9.53 cnf(s260, plain, ~spl15_111 | spl15_117 | ~spl15_121, inference(sat_conversion,[],[f9598])).
% 60.76/9.53 cnf(s277, plain, ~spl15_6 | spl15_129 | spl15_130, inference(sat_conversion,[],[f9958])).
% 60.76/9.53 cnf(s278, plain, ~spl15_6 | spl15_131 | spl15_132, inference(sat_conversion,[],[f9967])).
% 60.76/9.53 cnf(s281, plain, ~spl15_6 | spl15_136 | spl15_137, inference(sat_conversion,[],[f10079])).
% 60.76/9.53 cnf(s282, plain, ~spl15_6 | spl15_138 | spl15_139, inference(sat_conversion,[],[f10088])).
% 60.76/9.53 cnf(s289, plain, ~spl15_136 | spl15_145 | spl15_146, inference(sat_conversion,[],[f10170])).
% 60.76/9.53 cnf(s290, plain, ~spl15_71 | spl15_86 | ~spl15_139 | spl15_146, inference(sat_conversion,[],[f10209])).
% 60.76/9.53 cnf(s295, plain, ~spl15_136 | spl15_142 | ~spl15_146, inference(sat_conversion,[],[f10251])).
% 60.76/9.53 cnf(s298, plain, ~spl15_87 | ~spl15_137 | ~spl15_146, inference(sat_conversion,[],[f10332])).
% 60.76/9.53 cnf(s304, plain, spl15_87 | ~spl15_114 | ~spl15_121, inference(sat_conversion,[],[f10357])).
% 60.76/9.53 cnf(s305, plain, spl15_87 | ~spl15_139 | ~spl15_146, inference(sat_conversion,[],[f10359])).
% 60.76/9.53 cnf(s322, plain, ~spl15_6 | spl15_154 | spl15_155, inference(sat_conversion,[],[f10708])).
% 60.76/9.53 cnf(s323, plain, ~spl15_6 | spl15_156 | spl15_157, inference(sat_conversion,[],[f10717])).
% 60.76/9.53 cnf(s330, plain, ~spl15_154 | ~spl15_156, inference(sat_conversion,[],[f10956])).
% 60.76/9.53 cnf(s345, plain, ~spl15_6 | spl15_164 | spl15_165, inference(sat_conversion,[],[f11675])).
% 60.76/9.53 cnf(s346, plain, ~spl15_6 | spl15_166 | spl15_167, inference(sat_conversion,[],[f11684])).
% 60.76/9.53 cnf(s347, plain, ~spl15_164 | ~spl15_166, inference(sat_conversion,[],[f11687])).
% 60.76/9.53 cnf(s353, plain, ~spl15_117 | ~spl15_120 | ~spl15_167, inference(sat_conversion,[],[f11839])).
% 60.76/9.53 cnf(s357, plain, spl15_120 | ~spl15_129 | spl15_174, inference(sat_conversion,[],[f11862])).
% 60.76/9.53 cnf(s360, plain, spl15_85 | ~spl15_130 | spl15_174, inference(sat_conversion,[],[f11946])).
% 60.76/9.53 cnf(s361, plain, ~spl15_93 | ~spl15_130 | spl15_174, inference(sat_conversion,[],[f11947])).
% 60.76/9.53 cnf(s368, plain, ~spl15_173 | ~spl15_174, inference(sat_conversion,[],[f12011])).
% 60.76/9.53 cnf(s369, plain, ~spl15_173 | ~spl15_174, inference(sat_conversion,[],[f12023])).
% 60.76/9.53 cnf(s370, plain, ~spl15_120 | ~spl15_167 | spl15_171, inference(sat_conversion,[],[f12036])).
% 60.76/9.53 cnf(s374, plain, ~spl15_129 | ~spl15_131, inference(sat_conversion,[],[f12039])).
% 60.76/9.53 cnf(s375, plain, ~spl15_145 | spl15_164 | spl15_171, inference(sat_conversion,[],[f12124])).
% 60.76/9.53 cnf(s377, plain, ~spl15_166 | spl15_171 | spl15_175, inference(sat_conversion,[],[f12212])).
% 60.76/9.53 cnf(s379, plain, ~spl15_87 | ~spl15_112 | ~spl15_121, inference(sat_conversion,[],[f12247])).
% 60.76/9.53 cnf(s380, plain, ~spl15_111 | ~spl15_113, inference(sat_conversion,[],[f12259])).
% 60.76/9.53 cnf(s381, plain, ~spl15_115 | ~spl15_119, inference(sat_conversion,[],[f12260])).
% 60.76/9.53 cnf(s428, plain, ~spl15_112 | ~spl15_114, inference(sat_conversion,[],[f13107])).
% 60.76/9.53 cnf(s431, plain, spl15_73 | ~spl15_86 | ~spl15_87, inference(sat_conversion,[],[f13125])).
% 60.76/9.53 cnf(s434, plain, ~spl15_23 | spl15_88 | ~spl15_114 | spl15_115 | spl15_121, inference(sat_conversion,[],[f13133])).
% 60.76/9.53 cnf(s435, plain, spl15_112 | ~spl15_119 | ~spl15_198, inference(sat_conversion,[],[f13142])).
% 60.76/9.53 cnf(s457, plain, ~spl15_72 | ~spl15_82 | ~spl15_86, inference(sat_conversion,[],[f13239])).
% 60.76/9.53 cnf(s458, plain, ~spl15_142 | spl15_164 | ~spl15_171, inference(sat_conversion,[],[f13276])).
% 60.76/9.53 cnf(s459, plain, spl15_117 | ~spl15_165 | ~spl15_171, inference(sat_conversion,[],[f13278])).
% 60.76/9.53 cnf(s460, plain, ~spl15_142 | ~spl15_166 | ~spl15_171, inference(sat_conversion,[],[f13281])).
% 60.76/9.53 cnf(s479, plain, ~spl15_82 | ~spl15_157 | spl15_200 | spl15_211, inference(sat_conversion,[],[f15081])).
% 60.76/9.53 cnf(s485, plain, ~spl15_145 | ~spl15_175, inference(sat_conversion,[],[f15123])).
% 60.76/9.53 cnf(s578, plain, ~spl15_6 | spl15_238 | spl15_239, inference(sat_conversion,[],[f18244])).
% 60.76/9.53 cnf(s579, plain, ~spl15_6 | spl15_240 | spl15_241, inference(sat_conversion,[],[f18253])).
% 60.76/9.53 cnf(s590, plain, ~spl15_238 | spl15_242 | spl15_247, inference(sat_conversion,[],[f18361])).
% 60.76/9.53 cnf(s603, plain, ~spl15_6 | spl15_256 | spl15_257, inference(sat_conversion,[],[f18677])).
% 60.76/9.53 cnf(s604, plain, ~spl15_6 | spl15_258 | spl15_259, inference(sat_conversion,[],[f18686])).
% 60.76/9.53 cnf(s605, plain, ~spl15_256 | ~spl15_258, inference(sat_conversion,[],[f18689])).
% 60.76/9.53 cnf(s613, plain, ~spl15_247 | spl15_256 | spl15_262, inference(sat_conversion,[],[f18805])).
% 60.76/9.53 cnf(s618, plain, ~spl15_244 | spl15_256 | ~spl15_266, inference(sat_conversion,[],[f18938])).
% 60.76/9.53 cnf(s623, plain, spl15_85 | ~spl15_257 | spl15_266, inference(sat_conversion,[],[f19021])).
% 60.76/9.53 cnf(s624, plain, ~spl15_93 | ~spl15_257 | spl15_266, inference(sat_conversion,[],[f19022])).
% 60.76/9.53 cnf(s629, plain, ~spl15_87 | ~spl15_239 | ~spl15_242, inference(sat_conversion,[],[f19229])).
% 60.76/9.53 cnf(s632, plain, spl15_242 | spl15_245, inference(sat_conversion,[],[f19291])).
% 60.76/9.53 cnf(s636, plain, ~spl15_88 | ~spl15_239 | spl15_242, inference(sat_conversion,[],[f19454])).
% 60.76/9.53 cnf(s638, plain, spl15_198 | ~spl15_239 | spl15_242, inference(sat_conversion,[],[f19459])).
% 60.76/9.53 cnf(s685, plain, ~spl15_6 | spl15_278 | spl15_279, inference(sat_conversion,[],[f20604])).
% 60.76/9.53 cnf(s686, plain, ~spl15_6 | spl15_280 | spl15_281, inference(sat_conversion,[],[f20613])).
% 60.76/9.53 cnf(s693, plain, spl15_244 | ~spl15_278 | ~spl15_282, inference(sat_conversion,[],[f20756])).
% 60.76/9.53 cnf(s694, plain, spl15_117 | ~spl15_279 | ~spl15_282, inference(sat_conversion,[],[f20760])).
% 60.76/9.53 cnf(s695, plain, spl15_282 | spl15_284, inference(sat_conversion,[],[f20807])).
% 60.76/9.53 cnf(s714, plain, spl15_173 | ~spl15_176, inference(sat_conversion,[],[f21029])).
% 60.76/9.53 cnf(s717, plain, ~spl15_82 | ~spl15_132 | ~spl15_174, inference(sat_conversion,[],[f21036])).
% 60.76/9.53 cnf(s718, plain, ~spl15_70 | spl15_82 | ~spl15_86, inference(sat_conversion,[],[f21047])).
% 60.76/9.53 cnf(s719, plain, spl15_82 | ~spl15_257 | ~spl15_266, inference(sat_conversion,[],[f21051])).
% 60.76/9.53 cnf(s723, plain, spl15_117 | ~spl15_129 | spl15_173 | spl15_176, inference(sat_conversion,[],[f21064])).
% 60.76/9.53 cnf(s727, plain, spl15_120 | ~spl15_279 | spl15_282, inference(sat_conversion,[],[f21281])).
% 60.76/9.53 cnf(s728, plain, spl15_247 | ~spl15_278 | ~spl15_284, inference(sat_conversion,[],[f21285])).
% 60.76/9.53 cnf(s729, plain, ~spl15_238 | ~spl15_245 | spl15_247, inference(sat_conversion,[],[f21292])).
% 60.76/9.53 cnf(s731, plain, ~spl15_240 | ~spl15_245 | ~spl15_247, inference(sat_conversion,[],[f21735])).
% 60.76/9.53 cnf(s734, plain, spl15_88 | ~spl15_241 | ~spl15_245, inference(sat_conversion,[],[f21764])).
% 60.76/9.53 cnf(s737, plain, ~spl15_88 | spl15_114 | ~spl15_119, inference(sat_conversion,[],[f21772])).
% 60.76/9.53 cnf(s744, plain, ~spl15_257 | ~spl15_259, inference(sat_conversion,[],[f21807])).
% 60.76/9.53 cnf(s746, plain, ~spl15_82 | ~spl15_259 | ~spl15_266, inference(sat_conversion,[],[f21818])).
% 60.76/9.53 cnf(s747, plain, spl15_265 | spl15_266, inference(sat_conversion,[],[f21820])).
% 60.76/9.53 cnf(s768, plain, ~spl15_262 | ~spl15_265, inference(sat_conversion,[],[f21838])).
% 60.76/9.53 cnf(s826, plain, ~spl15_6 | spl15_299 | spl15_300, inference(sat_conversion,[],[f24040])).
% 60.76/9.53 cnf(s827, plain, ~spl15_6 | spl15_301 | spl15_302, inference(sat_conversion,[],[f24049])).
% 60.76/9.53 cnf(s836, plain, ~spl15_244 | ~spl15_247 | ~spl15_301, inference(sat_conversion,[],[f24298])).
% 60.76/9.53 cnf(s837, plain, ~spl15_300 | ~spl15_302, inference(sat_conversion,[],[f24301])).
% 60.76/9.53 cnf(s838, plain, ~spl15_142 | ~spl15_145 | spl15_300, inference(sat_conversion,[],[f24450])).
% 60.76/9.53 cnf(s849, plain, spl15_142 | ~spl15_164 | ~spl15_171, inference(sat_conversion,[],[f24453])).
% 60.76/9.53 cnf(s850, plain, ~spl15_120 | spl15_142 | ~spl15_164 | ~spl15_167, inference(sat_conversion,[],[f24455])).
% 60.76/9.53 cnf(s853, plain, spl15_85 | ~spl15_155 | spl15_211, inference(sat_conversion,[],[f24465])).
% 60.76/9.53 cnf(s866, plain, spl15_171 | spl15_191, inference(sat_conversion,[],[f24683])).
% 60.76/9.53 cnf(s887, plain, ~spl15_168 | ~spl15_191, inference(sat_conversion,[],[f24735])).
% 60.76/9.53 cnf(s893, plain, ~spl15_88 | ~spl15_137 | spl15_146, inference(sat_conversion,[],[f24938])).
% 60.76/9.53 cnf(s895, plain, ~spl15_137 | spl15_146 | spl15_198, inference(sat_conversion,[],[f24945])).
% 60.76/9.53 cnf(s899, plain, ~spl15_142 | spl15_154 | ~spl15_211, inference(sat_conversion,[],[f24951])).
% 60.76/9.53 cnf(s902, plain, ~spl15_70 | spl15_86 | ~spl15_93, inference(sat_conversion,[],[f24979])).
% 60.76/9.53 cnf(s918, plain, spl15_82 | ~spl15_130 | ~spl15_174, inference(sat_conversion,[],[f25017])).
% 60.76/9.53 cnf(s920, plain, spl15_82 | ~spl15_155 | ~spl15_211, inference(sat_conversion,[],[f25021])).
% 60.76/9.53 cnf(s921, plain, ~spl15_85 | spl15_257 | spl15_266, inference(sat_conversion,[],[f25027])).
% 60.76/9.53 cnf(s926, plain, ~spl15_85 | ~spl15_132 | ~spl15_173, inference(sat_conversion,[],[f25064])).
% 60.76/9.53 cnf(s927, plain, spl15_265 | spl15_266, inference(sat_conversion,[],[f25068])).
% 60.76/9.53 cnf(s940, plain, ~spl15_120 | spl15_129 | ~spl15_173, inference(sat_conversion,[],[f25121])).
% 60.76/9.53 cnf(s941, plain, ~spl15_120 | ~spl15_131 | ~spl15_173, inference(sat_conversion,[],[f25125])).
% 60.76/9.53 cnf(s953, plain, spl15_173 | spl15_174, inference(sat_conversion,[],[f25129])).
% 60.76/9.53 cnf(s1039, plain, ~spl15_142 | spl15_247 | ~spl15_299 | spl15_300, inference(sat_conversion,[],[f25656])).
% 60.76/9.53 cnf(s1040, plain, ~spl15_299 | ~spl15_301, inference(sat_conversion,[],[f25662])).
% 60.76/9.53 cnf(s1066, plain, ~spl15_145 | spl15_154 | spl15_211, inference(sat_conversion,[],[f26906])).
% 60.76/9.53 cnf(s1071, plain, ~spl15_85 | ~spl15_157 | ~spl15_200, inference(sat_conversion,[],[f26923])).
% 60.76/9.53 cnf(s1072, plain, ~spl15_23 | ~spl15_85 | ~spl15_157 | spl15_158 | spl15_211, inference(sat_conversion,[],[f26928])).
% 60.76/9.53 cnf(s1075, plain, ~spl15_82 | ~spl15_157 | ~spl15_211, inference(sat_conversion,[],[f26942])).
% 60.76/9.53 cnf(s1076, plain, spl15_145 | ~spl15_244 | spl15_299 | ~spl15_300, inference(sat_conversion,[],[f26975])).
% 60.76/9.53 cnf(s1082, plain, ~spl15_156 | spl15_175 | spl15_211, inference(sat_conversion,[],[f26986])).
% 60.76/9.53 cnf(s1106, plain, ~spl15_138 | ~spl15_142 | ~spl15_146, inference(sat_conversion,[],[f27042])).
% 60.76/9.53 cnf(s1117, plain, ~spl15_80 | ~spl15_84, inference(sat_conversion,[],[f27079])).
% 60.76/9.53 cnf(s1127, plain, spl15_84 | spl15_86, inference(sat_conversion,[],[f27080])).
% 60.76/9.53 cnf(s1132, plain, spl15_111 | ~spl15_120 | spl15_121, inference(sat_conversion,[],[f27089])).
% 60.76/9.53 cnf(s1133, plain, spl15_119 | spl15_121, inference(sat_conversion,[],[f27093])).
% 60.76/9.53 cnf(s1168, plain, ~spl15_73 | ~spl15_86 | spl15_87, inference(sat_conversion,[],[f27175])).
% 60.76/9.53 cnf(s1172, plain, ~spl15_23 | spl15_70 | spl15_80 | ~spl15_85 | spl15_86, inference(sat_conversion,[],[f27222])).
% 60.76/9.53 cnf(s1175, plain, ~spl15_23 | ~spl15_72 | spl15_80 | spl15_86 | spl15_93, inference(sat_conversion,[],[f27224])).
% 60.76/9.53 cnf(s1217, plain, ~spl15_138 | ~spl15_144 | ~spl15_145, inference(sat_conversion,[],[f27261])).
% 60.76/9.53 cnf(s1221, plain, spl15_144 | spl15_146, inference(sat_conversion,[],[f27341])).
% 60.76/9.53 cnf(s1252, plain, ~spl15_238 | ~spl15_242 | spl15_244, inference(sat_conversion,[],[f27344])).
% 60.76/9.53 cnf(s1254, plain, spl15_247 | ~spl15_256 | ~spl15_265, inference(sat_conversion,[],[f27346])).
% 60.76/9.53 cnf(s1337, plain, ~spl15_262 | ~spl15_265, inference(sat_conversion,[],[f27402])).
% 60.76/9.53 cnf(s1349, plain, ~spl15_117 | spl15_129 | ~spl15_174, inference(sat_conversion,[],[f27410])).
% 60.76/9.53 cnf(s1350, plain, spl15_111 | ~spl15_117 | ~spl15_121, inference(sat_conversion,[],[f27413])).
% 60.76/9.53 cnf(s1351, plain, ~spl15_117 | spl15_129 | spl15_173 | spl15_176, inference(sat_conversion,[],[f27417])).
% 60.76/9.53 cnf(s1352, plain, spl15_142 | spl15_145 | ~spl15_300, inference(sat_conversion,[],[f27439])).
% 60.76/9.53 cnf(s1373, plain, spl15_244 | spl15_247 | ~spl15_299, inference(sat_conversion,[],[f27462])).
% 60.76/9.53 cnf(s1485, plain, ~spl15_278 | ~spl15_280, inference(sat_conversion,[],[f29890])).
% 60.76/9.53 cnf(s1508, plain, ~spl15_240 | ~spl15_242 | ~spl15_244, inference(sat_conversion,[],[f31699])).
% 60.76/9.53 cnf(s1516, plain, spl15_87 | ~spl15_241 | ~spl15_242, inference(sat_conversion,[],[f31732])).
% 60.76/9.53 cnf(s1571, plain, spl15_120 | ~spl15_165 | ~spl15_191, inference(sat_conversion,[],[f31794])).
% 60.76/9.53 cnf(s1577, plain, spl15_145 | ~spl15_164 | ~spl15_191, inference(sat_conversion,[],[f31817])).
% 60.76/9.53 cnf(s1578, plain, spl15_166 | ~spl15_175 | ~spl15_191, inference(sat_conversion,[],[f31820])).
% 60.76/9.53 cnf(s1580, plain, ~spl15_145 | spl15_244 | ~spl15_299 | spl15_300, inference(sat_conversion,[],[f31827])).
% 60.76/9.53 cnf(s1581, plain, spl15_142 | ~spl15_247 | ~spl15_300 | ~spl15_301, inference(sat_conversion,[],[f31834])).
% 60.76/9.53 cnf(s1630, plain, ~spl15_120 | ~spl15_281 | spl15_282, inference(sat_conversion,[],[f31929])).
% 60.76/9.53 cnf(s1636, plain, spl15_142 | ~spl15_154 | ~spl15_158, inference(sat_conversion,[],[f31934])).
% 60.76/9.53 cnf(s1663, plain, ~spl15_244 | spl15_278 | ~spl15_282, inference(sat_conversion,[],[f31958])).
% 60.76/9.53 cnf(s1664, plain, ~spl15_247 | spl15_278 | spl15_282, inference(sat_conversion,[],[f31959])).
% 60.76/9.53 cnf(s1667, plain, ~spl15_117 | ~spl15_281 | ~spl15_282, inference(sat_conversion,[],[f31963])).
% 60.76/9.53 cnf(s1669, plain, spl15_142 | ~spl15_154 | ~spl15_211, inference(sat_conversion,[],[f32015])).
% 60.76/9.53 cnf(s1691, plain, ~spl15_136 | ~spl15_144 | spl15_145, inference(sat_conversion,[],[f32092])).
% 60.76/9.53 cnf(s1692, plain, spl15_88 | ~spl15_139 | ~spl15_144, inference(sat_conversion,[],[f32096])).
% 60.76/9.53 cnf(s1700, plain, spl15_145 | ~spl15_154 | spl15_211, inference(sat_conversion,[],[f32150])).
% 60.76/9.53 cnf(s1712, plain, ~spl15_117 | ~spl15_167 | ~spl15_171, inference(sat_conversion,[],[f32157])).
% 60.76/9.53 cnf(s1713, plain, ~spl15_138 | ~spl15_144 | spl15_175, inference(sat_conversion,[],[f32166])).
% 60.76/9.53 cnf(s1740, plain, ~spl15_23 | ~spl15_166 | spl15_168 | spl15_171 | spl15_175, inference(sat_conversion,[],[f32294])).
% 60.76/9.53 cnf(s1819, plain, spl15_244 | ~spl15_256 | ~spl15_266, inference(sat_conversion,[],[f32305])).
% 60.76/9.53 cnf(s1824, plain, spl15_6 | ~spl15_7 | ~spl15_8 | ~spl15_75, inference(sat_conversion,[],[f32420])).
% 60.76/9.53 cnf(s1827, plain, spl15_71 | ~spl15_84 | ~spl15_198, inference(sat_conversion,[],[f32425])).
% 60.76/9.53 cnf(s1982, plain, spl15_6 | ~spl15_7 | spl15_8 | ~spl15_75, inference(sat_conversion,[],[f32511])).
% 60.76/9.53 cnf(s1992, plain, spl15_7 | spl15_6, inference(rat,[],[s3,s184,s6])).
% 60.76/9.53 cnf(s1993, plain, spl15_8 | spl15_6, inference(rat,[],[s1982,s165,s1992])).
% 60.76/9.53 cnf(s1994, plain, spl15_6, inference(rat,[],[s1824,s176,s1993,s1992,s23])).
% 60.76/9.53 cnf(s1995, plain, ~spl15_130 | spl15_82 | ~spl15_93, inference(rat,[],[s361,s918])).
% 60.76/9.53 cnf(s1996, plain, ~spl15_155 | spl15_82 | spl15_85, inference(rat,[],[s853,s920])).
% 60.76/9.53 cnf(s1997, plain, spl15_164 | ~spl15_142 | spl15_120, inference(rat,[],[s866,s1571,s458,s345,s1994])).
% 60.76/9.53 cnf(s1998, plain, spl15_145 | ~spl15_117 | spl15_120 | ~spl15_154, inference(rat,[],[s1712,s346,s866,s347,s1577,s1997,s1669,s1700,s1994])).
% 60.76/9.53 cnf(s1999, plain, ~spl15_257 | spl15_82 | ~spl15_93, inference(rat,[],[s624,s719])).
% 60.76/9.53 cnf(s2000, plain, ~spl15_300 | ~spl15_247 | spl15_142, inference(rat,[],[s827,s1581,s837,s1994])).
% 60.76/9.53 cnf(s2002, plain, ~spl15_242 | ~spl15_244 | spl15_87, inference(rat,[],[s579,s1508,s1516,s1994])).
% 60.76/9.53 cnf(s2003, plain, ~spl15_247 | spl15_142 | ~spl15_145 | spl15_87 | spl15_88, inference(rat,[],[s579,s731,s734,s632,s2002,s1580,s826,s2000,s1994])).
% 60.76/9.53 cnf(s2004, plain, spl15_278 | ~spl15_244 | spl15_120, inference(rat,[],[s727,s685,s1663,s1994])).
% 60.76/9.53 cnf(s2005, plain, spl15_247 | ~spl15_117 | spl15_120 | ~spl15_256, inference(rat,[],[s1667,s695,s686,s728,s1485,s2004,s1819,s927,s1254,s1994])).
% 60.76/9.53 cnf(s2007, plain, ~spl15_146 | ~spl15_142 | spl15_87, inference(rat,[],[s282,s1106,s305,s1994])).
% 60.76/9.53 cnf(s2008, plain, spl15_120 | spl15_87 | ~spl15_256 | ~spl15_154 | ~spl15_129 | spl15_80 | ~spl15_71, inference(rat,[],[s282,s1713,s290,s1221,s2007,s2003,s2005,s485,s1998,s723,s714,s369,s357,s216,s211,s1994,s23])).
% 60.76/9.53 cnf(s2009, plain, spl15_173 | spl15_117 | ~spl15_129, inference(rat,[],[s723,s714])).
% 60.76/9.53 cnf(s2010, plain, spl15_164 | ~spl15_145 | spl15_117, inference(rat,[],[s459,s375,s345,s1994])).
% 60.76/9.53 cnf(s2011, plain, spl15_142 | spl15_117 | ~spl15_120 | ~spl15_154, inference(rat,[],[s346,s850,s347,s2010,s1700,s1669,s1994])).
% 60.76/9.53 cnf(s2012, plain, spl15_278 | ~spl15_247 | spl15_117, inference(rat,[],[s694,s685,s1664,s1994])).
% 60.76/9.53 cnf(s2013, plain, ~spl15_247 | spl15_117 | ~spl15_120 | spl15_87 | spl15_88, inference(rat,[],[s579,s731,s734,s632,s2002,s693,s1630,s686,s1485,s2012,s1994])).
% 60.76/9.53 cnf(s2014, plain, spl15_299 | ~spl15_244 | spl15_145, inference(rat,[],[s1076,s826,s1994])).
% 60.76/9.53 cnf(s2015, plain, spl15_117 | ~spl15_120 | spl15_87 | ~spl15_256 | ~spl15_154 | spl15_80 | ~spl15_71, inference(rat,[],[s837,s827,s1039,s1040,s2014,s1819,s927,s1254,s2013,s1217,s282,s290,s1221,s2007,s2011,s216,s211,s1994,s23])).
% 60.76/9.53 cnf(s2016, plain, spl15_111 | ~spl15_117 | ~spl15_120, inference(rat,[],[s1350,s1132])).
% 60.76/9.53 cnf(s2017, plain, spl15_87 | ~spl15_256 | ~spl15_154 | ~spl15_129 | spl15_80 | ~spl15_71, inference(rat,[],[s304,s257,s249,s380,s2016,s2015,s2008,s211,s1994])).
% 60.76/9.53 cnf(s2018, plain, ~spl15_146 | spl15_142 | ~spl15_87, inference(rat,[],[s281,s298,s295,s1994])).
% 60.76/9.53 cnf(s2019, plain, spl15_146 | ~spl15_145 | spl15_86 | ~spl15_71, inference(rat,[],[s282,s1217,s290,s1221,s1994])).
% 60.76/9.53 cnf(s2020, plain, ~spl15_242 | spl15_244 | ~spl15_87, inference(rat,[],[s578,s629,s1252,s1994])).
% 60.76/9.53 cnf(s2021, plain, spl15_120 | ~spl15_256 | ~spl15_154 | ~spl15_129 | spl15_80 | ~spl15_71, inference(rat,[],[s579,s731,s734,s632,s2020,s836,s827,s837,s838,s2018,s2019,s2005,s1998,s2009,s369,s357,s216,s211,s2017,s1994,s23])).
% 60.76/9.53 cnf(s2022, plain, spl15_142 | ~spl15_87 | ~spl15_154 | spl15_86 | ~spl15_71, inference(rat,[],[s2019,s1700,s2018,s1669])).
% 60.76/9.53 cnf(s2023, plain, ~spl15_245 | ~spl15_247 | spl15_88, inference(rat,[],[s579,s731,s734,s1994])).
% 60.76/9.53 cnf(s2024, plain, spl15_278 | ~spl15_244 | ~spl15_247, inference(rat,[],[s1663,s1664])).
% 60.76/9.53 cnf(s2025, plain, ~spl15_281 | ~spl15_117 | ~spl15_120, inference(rat,[],[s1630,s1667])).
% 60.76/9.53 cnf(s2026, plain, ~spl15_247 | spl15_278 | ~spl15_87 | spl15_88, inference(rat,[],[s2020,s632,s2024,s2023])).
% 60.76/9.53 cnf(s2027, plain, ~spl15_117 | ~spl15_142 | ~spl15_120 | ~spl15_87 | ~spl15_256 | spl15_88, inference(rat,[],[s837,s827,s1039,s1040,s2014,s1819,s927,s1254,s2026,s1485,s686,s2025,s375,s460,s347,s346,s353,s1994])).
% 60.76/9.53 cnf(s2028, plain, spl15_111 | ~spl15_120 | ~spl15_87, inference(rat,[],[s379,s1132,s248,s1994])).
% 60.76/9.53 cnf(s2029, plain, spl15_82 | spl15_85 | spl15_80 | ~spl15_71, inference(rat,[],[s257,s249,s260,s380,s2028,s2027,s2022,s2021,s2017,s603,s1999,s322,s1996,s277,s1995,s216,s1175,s211,s162,s214,s1994,s23])).
% 60.76/9.53 cnf(s2030, plain, spl15_87 | ~spl15_247 | ~spl15_146 | ~spl15_145 | spl15_88, inference(rat,[],[s2003,s2007])).
% 60.76/9.53 cnf(s2031, plain, ~spl15_247 | ~spl15_145 | ~spl15_154 | spl15_80 | ~spl15_71, inference(rat,[],[s827,s837,s836,s838,s2020,s2022,s2030,s632,s2023,s216,s2019,s211,s1994,s23])).
% 60.76/9.53 cnf(s2032, plain, ~spl15_256 | spl15_247 | ~spl15_82, inference(rat,[],[s746,s927,s604,s1254,s605,s1994])).
% 60.76/9.53 cnf(s2033, plain, ~spl15_114 | spl15_87 | spl15_86 | ~spl15_71, inference(rat,[],[s304,s257])).
% 60.76/9.53 cnf(s2034, plain, ~spl15_120 | spl15_111 | spl15_142 | ~spl15_154, inference(rat,[],[s2016,s2011])).
% 60.76/9.53 cnf(s2035, plain, ~spl15_129 | spl15_120 | ~spl15_82, inference(rat,[],[s717,s278,s357,s374,s1994])).
% 60.76/9.53 cnf(s2036, plain, ~spl15_279 | spl15_117 | spl15_120, inference(rat,[],[s694,s727])).
% 60.76/9.53 cnf(s2037, plain, ~spl15_278 | spl15_244 | spl15_247, inference(rat,[],[s695,s693,s728])).
% 60.76/9.53 cnf(s2038, plain, spl15_120 | ~spl15_279 | ~spl15_82 | ~spl15_93, inference(rat,[],[s361,s1349,s277,s2036,s2035,s1994])).
% 60.76/9.53 cnf(s2039, plain, spl15_87 | ~spl15_120 | ~spl15_146 | ~spl15_154 | spl15_86 | ~spl15_71, inference(rat,[],[s380,s249,s2034,s2033,s2007,s1994])).
% 60.76/9.53 cnf(s2040, plain, ~spl15_154 | ~spl15_82 | spl15_80 | ~spl15_71, inference(rat,[],[s377,s460,s346,s353,s260,s257,s249,s380,s2028,s2022,s2039,s2038,s685,s2037,s618,s624,s603,s2032,s2031,s2019,s485,s1700,s1075,s323,s330,s1175,s211,s162,s214,s1994,s23])).
% 60.76/9.53 cnf(s2041, plain, ~spl15_171 | spl15_117 | spl15_142, inference(rat,[],[s345,s849,s459,s1994])).
% 60.76/9.53 cnf(s2042, plain, spl15_120 | spl15_87 | spl15_142 | ~spl15_82 | ~spl15_93 | spl15_88, inference(rat,[],[s624,s618,s603,s2037,s2032,s2003,s1577,s345,s1571,s866,s2041,s1349,s361,s685,s277,s2038,s2035,s1994])).
% 60.76/9.53 cnf(s2043, plain, spl15_87 | spl15_142 | ~spl15_82 | ~spl15_93 | spl15_88 | spl15_86 | ~spl15_71, inference(rat,[],[s826,s1352,s1373,s2010,s618,s347,s624,s346,s603,s370,s2032,s2041,s2013,s2016,s2042,s380,s249,s2033,s1994])).
% 60.76/9.53 cnf(s2044, plain, spl15_120 | spl15_145 | spl15_142 | ~spl15_82 | ~spl15_93, inference(rat,[],[s345,s1577,s1571,s866,s2041,s1349,s361,s277,s2035,s1994])).
% 60.76/9.53 cnf(s2045, plain, spl15_142 | ~spl15_82 | ~spl15_71 | ~spl15_93 | spl15_88 | spl15_86, inference(rat,[],[s624,s618,s603,s1373,s2032,s2026,s1485,s686,s2025,s260,s257,s249,s380,s2028,s2044,s826,s1352,s2019,s2018,s2043,s1994])).
% 60.76/9.53 cnf(s2046, plain, spl15_80 | spl15_70, inference(rat,[],[s2045,s899,s853,s322,s2040,s2029,s1175,s216,s1172,s211,s162,s214,s161,s1994,s23])).
% 60.76/9.53 cnf(s2048, plain, ~spl15_111 | spl15_120 | spl15_87, inference(rat,[],[s304,s249,s256,s380,s1994])).
% 60.76/9.53 cnf(s2049, plain, ~spl15_257 | spl15_85 | spl15_82, inference(rat,[],[s623,s719])).
% 60.76/9.53 cnf(s2050, plain, ~spl15_117 | ~spl15_256 | ~spl15_145 | spl15_142 | spl15_120 | spl15_87, inference(rat,[],[s737,s2003,s1133,s2005,s1350,s428,s248,s2048,s1994])).
% 60.76/9.53 cnf(s2051, plain, ~spl15_129 | spl15_117 | spl15_120, inference(rat,[],[s368,s2009,s357])).
% 60.76/9.53 cnf(s2052, plain, spl15_142 | spl15_120 | ~spl15_154 | spl15_70, inference(rat,[],[s360,s918,s277,s2051,s2050,s603,s2049,s1072,s1700,s1636,s1669,s210,s431,s1127,s1117,s2046,s214,s161,s323,s330,s1994,s23])).
% 60.76/9.53 cnf(s2053, plain, ~spl15_117 | ~spl15_144 | spl15_111 | spl15_120 | ~spl15_154, inference(rat,[],[s1692,s737,s282,s1133,s1217,s1350,s1998,s428,s248,s1994])).
% 60.76/9.53 cnf(s2054, plain, ~spl15_145 | spl15_242 | ~spl15_244 | ~spl15_144 | ~spl15_142, inference(rat,[],[s578,s590,s636,s836,s1692,s827,s282,s837,s1217,s838,s1994])).
% 60.76/9.53 cnf(s2055, plain, ~spl15_244 | ~spl15_142 | spl15_87, inference(rat,[],[s1039,s837,s2023,s827,s893,s1040,s281,s2014,s289,s2054,s632,s2002,s1221,s2007,s1994])).
% 60.76/9.53 cnf(s2056, plain, ~spl15_256 | spl15_244 | ~spl15_85, inference(rat,[],[s744,s921,s604,s1819,s605,s1994])).
% 60.76/9.53 cnf(s2057, plain, spl15_120 | ~spl15_154 | spl15_70, inference(rat,[],[s747,s1337,s719,s613,s603,s2056,s2037,s2055,s360,s918,s277,s685,s2051,s2036,s2053,s1221,s2007,s2052,s2048,s210,s431,s1127,s1117,s2046,s214,s161,s1994])).
% 60.76/9.53 cnf(s2058, plain, ~spl15_247 | spl15_278 | ~spl15_145 | spl15_142, inference(rat,[],[s1580,s826,s2024,s2000,s1994])).
% 60.76/9.53 cnf(s2059, plain, spl15_142 | ~spl15_154 | spl15_70, inference(rat,[],[s578,s590,s638,s2002,s1819,s927,s1254,s2058,s435,s1133,s304,s428,s1485,s603,s249,s686,s2049,s380,s2025,s1072,s1700,s2034,s2011,s1636,s1669,s210,s431,s1127,s1117,s2046,s214,s161,s323,s330,s2057,s1994,s23])).
% 60.76/9.53 cnf(s2060, plain, ~spl15_117 | ~spl15_142 | ~spl15_120 | spl15_87, inference(rat,[],[s895,s435,s281,s1133,s289,s304,s428,s375,s249,s460,s347,s380,s346,s2016,s353,s2007,s1994])).
% 60.76/9.53 cnf(s2061, plain, ~spl15_278 | spl15_244 | ~spl15_120, inference(rat,[],[s1630,s686,s693,s1485,s1994])).
% 60.76/9.53 cnf(s2062, plain, ~spl15_256 | spl15_247 | spl15_244, inference(rat,[],[s747,s1254,s1819])).
% 60.76/9.53 cnf(s2063, plain, ~spl15_129 | ~spl15_85 | spl15_117, inference(rat,[],[s926,s278,s2009,s374,s1994])).
% 60.76/9.53 cnf(s2064, plain, ~spl15_154 | spl15_70, inference(rat,[],[s918,s953,s277,s940,s2063,s2049,s603,s2062,s2012,s2061,s2060,s2055,s2059,s2057,s210,s431,s1127,s1117,s2046,s214,s161,s1994])).
% 60.76/9.53 cnf(s2065, plain, ~spl15_256 | ~spl15_117 | spl15_120 | spl15_70, inference(rat,[],[s632,s2002,s2023,s2056,s2005,s1996,s322,s2064,s210,s737,s1133,s1350,s428,s248,s2048,s431,s1127,s1117,s2046,s214,s161,s1994])).
% 60.76/9.53 cnf(s2066, plain, ~spl15_117 | spl15_120 | ~spl15_299 | spl15_70, inference(rat,[],[s1667,s695,s686,s728,s1485,s2004,s1373,s613,s1337,s927,s719,s603,s2065,s210,s1127,s1117,s2046,s1994])).
% 60.76/9.53 cnf(s2067, plain, spl15_120 | spl15_142 | spl15_70, inference(rat,[],[s345,s1577,s1571,s866,s2041,s2066,s826,s1352,s1066,s920,s322,s210,s1127,s1117,s2046,s2064,s1994])).
% 60.76/9.53 cnf(s2068, plain, ~spl15_244 | spl15_198 | spl15_278 | spl15_87, inference(rat,[],[s578,s590,s638,s2024,s2002,s1994])).
% 60.76/9.53 cnf(s2069, plain, spl15_244 | ~spl15_299 | spl15_70, inference(rat,[],[s747,s1337,s719,s613,s603,s1373,s2056,s1996,s322,s2064,s210,s1127,s1117,s2046,s1994])).
% 60.76/9.53 cnf(s2070, plain, ~spl15_117 | ~spl15_244 | ~spl15_120 | spl15_87, inference(rat,[],[s435,s1133,s2068,s304,s428,s1485,s249,s686,s380,s2025,s2016,s1994])).
% 60.76/9.53 cnf(s2071, plain, spl15_142 | spl15_70, inference(rat,[],[s918,s953,s277,s940,s2063,s2070,s2069,s2067,s826,s1352,s431,s214,s161,s1996,s1066,s920,s322,s210,s1127,s1117,s2046,s2064,s1994])).
% 60.76/9.53 cnf(s2072, plain, spl15_120 | spl15_70, inference(rat,[],[s1712,s866,s346,s1577,s347,s2036,s1997,s1066,s920,s685,s2037,s613,s1337,s927,s719,s603,s2056,s1996,s322,s2064,s210,s2055,s2071,s431,s1127,s1117,s2046,s214,s161,s1994])).
% 60.76/9.53 cnf(s2073, plain, spl15_70, inference(rat,[],[s918,s953,s277,s940,s2063,s2060,s2072,s2071,s1996,s322,s2064,s431,s210,s1127,s1117,s2046,s214,s161,s1994])).
% 60.76/9.53 cnf(s2074, plain, ~spl15_256 | ~spl15_117 | spl15_87 | spl15_120 | spl15_142, inference(rat,[],[s162,s457,s1168,s1996,s191,s2056,s2002,s632,s322,s2023,s1998,s2005,s2050,s737,s1133,s1350,s428,s248,s2048,s1994,s2073])).
% 60.76/9.53 cnf(s2075, plain, spl15_82 | ~spl15_257 | spl15_88, inference(rat,[],[s162,s219,s198,s1999,s718,s1994,s2073])).
% 60.76/9.53 cnf(s2076, plain, ~spl15_154 | ~spl15_85 | spl15_142, inference(rat,[],[s1072,s323,s1636,s1669,s330,s23,s1994])).
% 60.76/9.53 cnf(s2077, plain, spl15_86 | spl15_93 | spl15_88, inference(rat,[],[s162,s219,s198,s1994])).
% 60.76/9.53 cnf(s2078, plain, ~spl15_82 | spl15_88 | spl15_87 | spl15_142 | spl15_120, inference(rat,[],[s162,s457,s1168,s2077,s2042,s1994])).
% 60.76/9.53 cnf(s2079, plain, ~spl15_117 | spl15_87 | spl15_120 | spl15_142, inference(rat,[],[s2078,s2075,s603,s2074,s737,s1133,s1350,s428,s248,s2048,s1994])).
% 60.76/9.53 cnf(s2080, plain, spl15_82 | ~spl15_145 | spl15_142, inference(rat,[],[s920,s1066,s322,s2076,s191,s718,s1994,s2073])).
% 60.76/9.53 cnf(s2081, plain, ~spl15_259 | ~spl15_85 | ~spl15_82, inference(rat,[],[s921,s746,s744])).
% 60.76/9.53 cnf(s2082, plain, spl15_244 | ~spl15_145 | ~spl15_278 | spl15_142, inference(rat,[],[s1580,s826,s2000,s2037,s1994])).
% 60.76/9.53 cnf(s2083, plain, spl15_256 | ~spl15_247 | ~spl15_244, inference(rat,[],[s613,s1337,s927,s618])).
% 60.76/9.53 cnf(s2084, plain, spl15_87 | spl15_120 | spl15_142, inference(rat,[],[s162,s457,s1168,s191,s2081,s604,s605,s2083,s729,s578,s636,s632,s2002,s2082,s2078,s2080,s1577,s345,s1571,s866,s685,s2041,s2036,s2079,s2073,s1994])).
% 60.76/9.53 cnf(s2085, plain, spl15_82 | spl15_146 | spl15_142, inference(rat,[],[s893,s281,s2077,s289,s902,s2080,s718,s1994,s2073])).
% 60.76/9.53 cnf(s2086, plain, spl15_244 | ~spl15_145 | ~spl15_87 | spl15_142, inference(rat,[],[s590,s578,s2058,s636,s2082,s2020,s1692,s282,s1217,s1221,s2018,s1994])).
% 60.76/9.53 cnf(s2087, plain, ~spl15_244 | spl15_256 | ~spl15_117 | spl15_120, inference(rat,[],[s1667,s695,s686,s728,s1485,s2083,s2004,s1994])).
% 60.76/9.53 cnf(s2088, plain, spl15_244 | ~spl15_87 | spl15_142, inference(rat,[],[s2023,s893,s1373,s281,s826,s289,s1352,s632,s2086,s2020,s2018,s1994])).
% 60.76/9.53 cnf(s2089, plain, ~spl15_117 | ~spl15_244 | ~spl15_82 | spl15_120, inference(rat,[],[s604,s2081,s605,s360,s2087,s1349,s277,s2035,s1994])).
% 60.76/9.53 cnf(s2090, plain, spl15_121 | ~spl15_88 | spl15_120, inference(rat,[],[s428,s248,s737,s256,s1133,s1994])).
% 60.76/9.53 cnf(s2091, plain, ~spl15_121 | spl15_117 | ~spl15_87, inference(rat,[],[s248,s260,s379,s1994])).
% 60.76/9.53 cnf(s2092, plain, spl15_120 | spl15_142, inference(rat,[],[s282,s1217,s1692,s1577,s2090,s345,s2091,s1571,s866,s2041,s2089,s2088,s2085,s1221,s2018,s2084,s1994])).
% 60.76/9.53 cnf(s2093, plain, spl15_82 | spl15_244 | spl15_142, inference(rat,[],[s768,s927,s613,s719,s1373,s603,s826,s2056,s1352,s191,s2080,s718,s1994,s2073])).
% 60.76/9.53 cnf(s2094, plain, ~spl15_132 | ~spl15_85 | ~spl15_82, inference(rat,[],[s953,s717,s926])).
% 60.76/9.53 cnf(s2095, plain, ~spl15_131 | ~spl15_117 | ~spl15_120, inference(rat,[],[s1351,s714,s374,s941])).
% 60.76/9.53 cnf(s2096, plain, ~spl15_117 | spl15_87 | spl15_142, inference(rat,[],[s162,s457,s1168,s191,s2094,s278,s2095,s2093,s2070,s2092,s1994,s2073])).
% 60.76/9.53 cnf(s2097, plain, spl15_82 | ~spl15_155 | spl15_117 | ~spl15_120, inference(rat,[],[s918,s953,s277,s940,s2063,s1996,s1994])).
% 60.76/9.53 cnf(s2098, plain, spl15_244 | ~spl15_299 | spl15_117 | ~spl15_120, inference(rat,[],[s2012,s1373,s2061])).
% 60.76/9.53 cnf(s2099, plain, ~spl15_86 | ~spl15_82 | spl15_87, inference(rat,[],[s162,s457,s1168,s1994])).
% 60.76/9.53 cnf(s2100, plain, spl15_87 | spl15_142, inference(rat,[],[s729,s2083,s578,s605,s636,s604,s2077,s2081,s902,s191,s2099,s632,s2002,s2098,s2097,s826,s1352,s485,s1740,s346,s887,s370,s866,s322,s2041,s2011,s2096,s2092,s1994,s2073,s23])).
% 60.76/9.53 cnf(s2101, plain, ~spl15_117 | spl15_142, inference(rat,[],[s623,s618,s603,s2032,s2024,s2094,s1485,s278,s686,s2095,s2025,s2092,s2088,s2085,s2018,s2100,s1994])).
% 60.76/9.53 cnf(s2102, plain, spl15_142, inference(rat,[],[s289,s281,s485,s895,s1740,s435,s346,s887,s1133,s370,s866,s2091,s2041,s2101,s428,s249,s380,s2028,s2018,s2100,s2092,s1994,s23])).
% 60.76/9.53 cnf(s2103, plain, spl15_87 | ~spl15_117 | spl15_120, inference(rat,[],[s282,s1692,s1217,s2090,s1221,s1350,s2007,s2048,s1577,s866,s1712,s346,s347,s1997,s1994,s2102])).
% 60.76/9.53 cnf(s2104, plain, spl15_244 | spl15_82 | ~spl15_87, inference(rat,[],[s768,s613,s927,s729,s719,s578,s603,s638,s632,s2056,s2020,s191,s1827,s216,s1117,s2077,s902,s1127,s718,s1994,s2073,s23])).
% 60.76/9.53 cnf(s2105, plain, ~spl15_244 | ~spl15_117 | spl15_120, inference(rat,[],[s2005,s836,s2087,s827,s837,s838,s1577,s866,s1712,s346,s347,s1997,s1994,s2102])).
% 60.76/9.53 cnf(s2106, plain, ~spl15_157 | ~spl15_85 | ~spl15_82, inference(rat,[],[s1071,s479,s1075])).
% 60.76/9.53 cnf(s2107, plain, ~spl15_117 | spl15_120, inference(rat,[],[s899,s1082,s330,s323,s2106,s360,s1349,s277,s2035,s2104,s2105,s2103,s1578,s866,s1712,s346,s347,s1997,s2102,s1994])).
% 60.76/9.53 cnf(s2108, plain, spl15_82 | ~spl15_247 | spl15_244, inference(rat,[],[s747,s1337,s719,s613,s603,s2056,s191,s718,s1994,s2073])).
% 60.76/9.53 cnf(s2109, plain, spl15_87 | ~spl15_278, inference(rat,[],[s1066,s899,s1691,s330,s281,s323,s893,s2106,s2077,s902,s191,s2099,s2108,s2037,s1221,s2055,s2007,s2102,s1994,s2073])).
% 60.76/9.53 cnf(s2110, plain, spl15_82 | spl15_120, inference(rat,[],[s2077,s1995,s718,s277,s2051,s2090,s2091,s2109,s685,s2036,s2107,s2073,s1994])).
% 60.76/9.53 cnf(s2111, plain, spl15_244 | spl15_120, inference(rat,[],[s2023,s632,s2037,s2020,s2090,s2091,s2109,s685,s2036,s2107,s1994])).
% 60.76/9.53 cnf(s2112, plain, ~spl15_154 | spl15_145 | ~spl15_82, inference(rat,[],[s1075,s323,s1700,s330,s1994])).
% 60.76/9.53 cnf(s2113, plain, spl15_154 | spl15_85, inference(rat,[],[s853,s899,s322,s2102,s1994])).
% 60.76/9.53 cnf(s2114, plain, spl15_85 | spl15_120, inference(rat,[],[s623,s618,s603,s2032,s836,s827,s837,s838,s2112,s2113,s2110,s2111,s1994,s2102])).
% 60.76/9.53 cnf(s2115, plain, spl15_120, inference(rat,[],[s837,s827,s1039,s1040,s2014,s1066,s899,s2083,s330,s605,s323,s604,s2106,s2081,s2114,s2111,s2110,s1994,s2102])).
% 60.76/9.53 cnf(s2121, plain, spl15_129 | spl15_82, inference(rat,[],[s918,s953,s277,s940,s1994,s2115])).
% 60.76/9.53 cnf(s2122, plain, spl15_82, inference(rat,[],[s837,s827,s1039,s1040,s2014,s2024,s375,s1485,s460,s347,s2104,s686,s346,s2060,s2025,s353,s2063,s2121,s191,s718,s1994,s2102,s2115,s2073])).
% 60.76/9.53 cnf(s2123, plain, spl15_87, inference(rat,[],[s1066,s1691,s899,s281,s330,s893,s323,s2077,s2106,s902,s191,s1221,s2099,s2007,s2102,s1994,s2122,s2073])).
% 60.76/9.53 cnf(s2124, plain, spl15_111, inference(rat,[],[s2028,s2115,s2123])).
% 60.76/9.53 cnf(s2125, plain, ~spl15_113, inference(rat,[],[s380,s2124])).
% 60.76/9.53 cnf(s2126, plain, spl15_114, inference(rat,[],[s249,s1994,s2125])).
% 60.76/9.53 cnf(s2128, plain, ~spl15_117, inference(rat,[],[s2112,s2113,s375,s2094,s460,s347,s278,s346,s2095,s353,s2122,s2102,s1994,s2115])).
% 60.76/9.53 cnf(s2129, plain, ~spl15_121, inference(rat,[],[s2091,s2123,s2128])).
% 60.76/9.53 cnf(s2130, plain, spl15_119, inference(rat,[],[s1133,s2129])).
% 60.76/9.53 cnf(s2131, plain, ~spl15_115, inference(rat,[],[s381,s2130])).
% 60.76/9.53 cnf(s2138, plain, spl15_88, inference(rat,[],[s434,s2126,s2129,s23,s2131])).
% 60.76/9.53 cnf(s2145, plain, spl15_244, inference(rat,[],[s578,s729,s2012,s636,s632,s2061,s2020,s1994,s2128,s2138,s2115,s2123])).
% 60.76/9.53 cnf(s2146, plain, spl15_85, inference(rat,[],[s623,s618,s603,s2032,s836,s827,s837,s838,s2112,s2113,s2145,s1994,s2122,s2102])).
% 60.76/9.53 cnf(s2151, plain, ~spl15_259, inference(rat,[],[s2081,s2122,s2146])).
% 60.76/9.53 cnf(s2153, plain, ~spl15_157, inference(rat,[],[s2106,s2122,s2146])).
% 60.76/9.53 cnf(s2155, plain, spl15_258, inference(rat,[],[s604,s1994,s2151])).
% 60.76/9.53 cnf(s2157, plain, spl15_156, inference(rat,[],[s323,s1994,s2153])).
% 60.76/9.53 cnf(s2160, plain, ~spl15_256, inference(rat,[],[s605,s2155])).
% 60.76/9.53 cnf(s2161, plain, ~spl15_154, inference(rat,[],[s330,s2157])).
% 60.76/9.53 cnf(s2167, plain, ~spl15_247, inference(rat,[],[s2083,s2145,s2160])).
% 60.76/9.53 cnf(s2169, plain, ~spl15_211, inference(rat,[],[s899,s2102,s2161])).
% 60.76/9.53 cnf(s2174, plain, ~spl15_145, inference(rat,[],[s1066,s2161,s2169])).
% 60.76/9.53 cnf(s2179, plain, spl15_299, inference(rat,[],[s2014,s2145,s2174])).
% 60.76/9.53 cnf(s2181, plain, ~spl15_301, inference(rat,[],[s1040,s2179])).
% 60.76/9.53 cnf(s2182, plain, spl15_300, inference(rat,[],[s1039,s2167,s2102,s2179])).
% 60.76/9.53 cnf(s2183, plain, spl15_302, inference(rat,[],[s827,s1994,s2181])).
% 60.76/9.53 cnf(s2184, plain, $false, inference(rat,[],[s837,s2183,s2182])).
% 60.76/9.53 thf(f32512,plain,(
% 60.76/9.53 $false),
% 60.76/9.53 inference(avatar_sat_refutation,[],[s2184])).
% 60.76/9.53 % SZS output end Proof for theBenchmark
% 60.76/9.53 % (1441754)------------------------------
% 60.76/9.53 % (1441754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.76/9.53 % (1441754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.76/9.53 % (1441754)CaDiCaL version: 2.1.3
% 60.76/9.53 % (1441754)Termination reason: Refutation
% 60.76/9.53 % (1441754)Time elapsed: 4.777 s
% 60.76/9.53 % (1441754)Peak memory usage: 47 MB
% 60.76/9.53 % (1441754)Instructions burned: 10931 (million)
% 60.76/9.53 % (1441437)Success in time 9.274 s
% 60.76/9.53 % Vampire exiting
%------------------------------------------------------------------------------