Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem Process solution in
SystemOnTSTP Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PRO024^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 08:20:31 AM UTC 2026

% Result   : Theorem 30.89s 4.76s
% Output   : Refutation 30.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PRO024^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22  % Computer : n026.cluster.edu
% 0.11/0.22  % Model    : x86_64 x86_64
% 0.11/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22  % Memory   : 8046.5625MB
% 0.11/0.22  % OS       : Linux 6.8.0-71-generic
% 0.11/0.23  % CPULimit : 300
% 0.11/0.23  % WCLimit  : 300
% 0.11/0.23  % DateTime : Tue Sep 29 13:23:57 UTC 2026
% 0.11/0.23  % CPUTime  : 
% 0.11/0.23  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.28  Running first-order model finding
% 0.11/0.28  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
% 12.17/2.09  % (572237)Will run a generic schedule for satisfiability detection.
% 12.17/2.09  % (572243)% WARNING: option uhcvi not known.
% 12.17/2.09  % (572243)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=488473490:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 12.17/2.09  % (572242)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4119714861_2999 on theBenchmark for (2999ds/0Mi)
% 12.17/2.09  % (572244)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2724006743:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 12.17/2.09  % (572245)dis+10_1_sil=32000:sp=arity:random_seed=2802127024:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 12.17/2.09  % (572246)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1349932103:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 12.17/2.09  % (572247)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1276129260:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 12.17/2.09  % (572248)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3423072985:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 12.17/2.09  % (572243)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.17/2.09  % (572246)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.17/2.09  % (572245)Instruction limit reached! 
% 12.17/2.09  % (572245)------------------------------
% 12.17/2.09  % (572245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.09  % (572245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.09  % (572245)CaDiCaL version: 2.1.3
% 12.17/2.09  % (572245)Termination reason: Instruction limit
% 12.17/2.09  % (572245)Termination phase: Naming
% 12.17/2.09  % (572245)Time elapsed: 0.078 s
% 12.17/2.09  % (572245)Peak memory usage: 11 MB
% 12.17/2.09  % (572245)Instructions burned: 104 (million)
% 12.17/2.09  % (572243)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.17/2.09  % (572246)Instruction limit reached! 
% 12.17/2.09  % (572246)------------------------------
% 12.17/2.09  % (572246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.09  % (572246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.09  % (572246)CaDiCaL version: 2.1.3
% 12.17/2.09  % (572246)Termination reason: Instruction limit
% 12.17/2.09  % (572246)Termination phase: Preprocessing 3
% 12.17/2.09  % (572246)Time elapsed: 0.088 s
% 12.17/2.09  % (572246)Peak memory usage: 12 MB
% 12.17/2.09  % (572246)Instructions burned: 116 (million)
% 12.17/2.09  % (572247)Instruction limit reached! 
% 12.17/2.09  % (572247)------------------------------
% 12.17/2.09  % (572247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.09  % (572247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.09  % (572247)CaDiCaL version: 2.1.3
% 12.17/2.09  % (572247)Termination reason: Instruction limit
% 12.17/2.09  % (572247)Termination phase: Preprocessing 3
% 12.17/2.09  % (572247)Time elapsed: 0.101 s
% 12.17/2.09  % (572247)Peak memory usage: 12 MB
% 12.17/2.09  % (572247)Instructions burned: 131 (million)
% 12.17/2.09  % (572256)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2636705099:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 12.17/2.09  % (572257)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1289788666:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 12.17/2.09  % (572248)Instruction limit reached! 
% 12.17/2.09  % (572248)------------------------------
% 12.17/2.09  % (572248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.09  % (572248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.09  % (572248)CaDiCaL version: 2.1.3
% 12.17/2.09  % (572248)Termination reason: Instruction limit
% 12.17/2.09  % (572248)Termination phase: Property scanning
% 12.17/2.09  % (572248)Time elapsed: 0.123 s
% 12.17/2.09  % (572248)Peak memory usage: 12 MB
% 12.17/2.09  % (572248)Instructions burned: 159 (million)
% 12.17/2.09  % (572258)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=648383911:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 12.17/2.09  % (572262)ott-21_1_sil=16000:fs=off:random_seed=3104915135:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 12.17/2.09  % Exception at run slice level
% 30.89/4.76  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.89/4.76  % (572258)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.89/4.76  % (572257)Instruction limit reached! 
% 30.89/4.76  % (572257)------------------------------
% 30.89/4.76  % (572257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.89/4.76  % (572257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.89/4.76  % (572257)CaDiCaL version: 2.1.3
% 30.89/4.76  % (572257)Termination reason: Instruction limit
% 30.89/4.76  % (572257)Termination phase: Preprocessing 3
% 30.89/4.76  % (572257)Time elapsed: 0.099 s
% 30.89/4.76  % (572257)Peak memory usage: 12 MB
% 30.89/4.76  % (572257)Instructions burned: 131 (million)
% 30.89/4.76  % (572264)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2131173698:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 30.89/4.76  % (572265)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4189476757:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 30.89/4.76  % (572262)Instruction limit reached! 
% 30.89/4.76  % (572262)------------------------------
% 30.89/4.76  % (572262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.89/4.76  % (572262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.89/4.76  % (572262)CaDiCaL version: 2.1.3
% 30.89/4.76  % (572262)Termination reason: Instruction limit
% 30.89/4.76  % (572262)Termination phase: Property scanning
% 30.89/4.76  % (572262)Time elapsed: 0.137 s
% 30.89/4.76  % (572262)Peak memory usage: 12 MB
% 30.89/4.76  % (572262)Instructions burned: 180 (million)
% 30.89/4.76  % Exception at run slice level
% 30.89/4.76  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.89/4.76  % (572268)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3179376807:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 30.89/4.76  % (572258)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 30.89/4.76  % (572269)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2325435395:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 30.89/4.76  % Exception at run slice level
% 30.89/4.76  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.89/4.76  % (572274)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=4017917113:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 30.89/4.76  % (572274)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.89/4.76  % Exception at run slice level
% 30.89/4.76  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.89/4.76  % (572278)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1593376757:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 30.89/4.76  % (572264)Instruction limit reached! 
% 30.89/4.76  % (572264)------------------------------
% 30.89/4.76  % (572264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.89/4.76  % (572264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.89/4.76  % (572264)CaDiCaL version: 2.1.3
% 30.89/4.76  % (572264)Termination reason: Instruction limit
% 30.89/4.76  % (572264)Termination phase: Saturation
% 30.89/4.76  % (572264)Time elapsed: 0.395 s
% 30.89/4.76  % (572264)Peak memory usage: 15 MB
% 30.89/4.76  % (572264)Instructions burned: 477 (million)
% 30.89/4.76  % (572278)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.89/4.76  % (572282)fmb+10_1_sil=64000:random_seed=1051618421:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 30.89/4.76  % (572258)Instruction limit reached! 
% 30.89/4.76  % (572258)------------------------------
% 30.89/4.76  % (572258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.89/4.76  % (572258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.89/4.76  % (572258)CaDiCaL version: 2.1.3
% 30.89/4.76  % (572258)Termination reason: Instruction limit
% 30.89/4.76  % (572258)Termination phase: Saturation
% 30.89/4.76  % (572258)Time elapsed: 0.572 s
% 30.89/4.76  % (572258)Peak memory usage: 16 MB
% 30.89/4.76  % (572258)Instructions burned: 684 (million)
% 30.89/4.76  % (572284)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2822500635:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 30.89/4.76  % (572282)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 30.89/4.76  % Exception at run slice level
% 30.89/4.76  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.89/4.76  % (572286)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=485174319:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 30.89/4.76  % Exception at run slice level
% 30.89/4.76  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.89/4.76  % (572274)Instruction limit reached! 
% 30.89/4.76  % (572274)------------------------------
% 30.89/4.76  % (572274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.89/4.76  % (572274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.89/4.76  % (572274)CaDiCaL version: 2.1.3
% 30.89/4.76  % (572274)Termination reason: Instruction limit
% 30.89/4.76  % (572274)Termination phase: Saturation
% 30.89/4.76  % (572274)Time elapsed: 0.484 s
% 30.89/4.76  % (572274)Peak memory usage: 19 MB
% 30.89/4.76  % (572274)Instructions burned: 692 (million)
% 30.89/4.76  % (572288)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=294927277:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 30.89/4.76  % (572289)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4109434971:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 30.89/4.76  % (572288)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.89/4.76  % Exception at run slice level
% 30.89/4.76  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.89/4.76  % (572292)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=239099225:i=6324_2988 on theBenchmark for (2988ds/6324Mi)
% 30.89/4.76  % (572289)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 30.89/4.76  % (572289)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 30.89/4.76  % Exception at run slice level
% 30.89/4.76  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.89/4.76  % (572278)Instruction limit reached! 
% 30.89/4.76  % (572278)------------------------------
% 30.89/4.76  % (572278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.89/4.76  % (572278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.89/4.76  % (572278)CaDiCaL version: 2.1.3
% 30.89/4.76  % (572278)Termination reason: Instruction limit
% 30.89/4.76  % (572278)Termination phase: Saturation
% 30.89/4.76  % (572278)Time elapsed: 0.721 s
% 30.89/4.76  % (572278)Peak memory usage: 20 MB
% 30.89/4.76  % (572278)Instructions burned: 880 (million)
% 30.89/4.76  % (572297)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1404329145:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 30.89/4.76  % (572268)Instruction limit reached! 
% 30.89/4.76  % (572268)------------------------------
% 30.89/4.76  % (572268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.89/4.76  % (572268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.89/4.76  % (572268)CaDiCaL version: 2.1.3
% 30.89/4.76  % (572268)Termination reason: Instruction limit
% 30.89/4.76  % (572268)Termination phase: Saturation
% 30.89/4.76  % (572268)Time elapsed: 0.995 s
% 30.89/4.76  % (572268)Peak memory usage: 21 MB
% 30.89/4.76  % (572268)Instructions burned: 1180 (million)
% 30.89/4.76  % (572298)ott-2_1_sil=16000:newcnf=on:random_seed=778797865:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2986 on theBenchmark for (2986ds/869Mi)
% 30.89/4.76  % (572301)ott+10_1_sil=32000:tgt=ground:random_seed=1300154757:i=5114:av=off_2986 on theBenchmark for (2986ds/5114Mi)
% 30.89/4.76  % (572298)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.89/4.76  % Exception at run slice level
% 30.89/4.76  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.89/4.76  % (572306)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3854899365:i=54282_2984 on theBenchmark for (2984ds/54282Mi)
% 30.89/4.76  % Exception at run slice level
% 30.89/4.76  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.89/4.76  % (572310)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3940650707:i=3512:aac=none_2982 on theBenchmark for (2982ds/3512Mi)
% 30.89/4.76  % (572310)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 30.89/4.76  % (572298)Instruction limit reached! 
% 30.89/4.76  % (572298)------------------------------
% 30.89/4.76  % (572298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.89/4.76  % (572298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.89/4.76  % (572298)CaDiCaL version: 2.1.3
% 30.89/4.76  % (572298)Termination reason: Instruction limit
% 30.89/4.76  % (572298)Termination phase: Saturation
% 30.89/4.76  % (572298)Time elapsed: 0.685 s
% 30.89/4.76  % (572298)Peak memory usage: 18 MB
% 30.89/4.76  % (572298)Instructions burned: 870 (million)
% 30.89/4.76  % (572317)dis+21_1_sil=32000:sas=cadical:random_seed=3831432262:i=3773:amm=off_2979 on theBenchmark for (2979ds/3773Mi)
% 30.89/4.76  % (572289)Instruction limit reached! 
% 30.89/4.76  % (572289)------------------------------
% 30.89/4.76  % (572289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.89/4.76  % (572289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.89/4.76  % (572289)CaDiCaL version: 2.1.3
% 30.89/4.76  % (572289)Termination reason: Instruction limit
% 30.89/4.76  % (572289)Termination phase: Saturation
% 30.89/4.76  % (572289)Time elapsed: 1.200 s
% 30.89/4.76  % (572289)Peak memory usage: 21 MB
% 30.89/4.76  % (572289)Instructions burned: 1472 (million)
% 30.89/4.76  % (572320)ott+11_1_sil=16000:gs=on:random_seed=2766837481:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2977 on theBenchmark for (2977ds/2251Mi)
% 30.89/4.76  % (572320)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 30.89/4.76  % (572320)Instruction limit reached! 
% 30.89/4.76  % (572320)------------------------------
% 30.89/4.76  % (572320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.89/4.76  % (572320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.89/4.76  % (572320)CaDiCaL version: 2.1.3
% 30.89/4.76  % (572320)Termination reason: Instruction limit
% 30.89/4.76  % (572320)Termination phase: Saturation
% 30.89/4.76  % (572320)Time elapsed: 1.690 s
% 30.89/4.76  % (572320)Peak memory usage: 22 MB
% 30.89/4.76  % (572320)Instructions burned: 2251 (million)
% 30.89/4.76  % (572324)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1375529397:fmbsr=1.6:i=67534_2960 on theBenchmark for (2960ds/67534Mi)
% 30.89/4.76  % Exception at run slice level
% 30.89/4.76  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.89/4.76  % (572326)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2180989059:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2958 on theBenchmark for (2958ds/4591Mi)
% 30.89/4.76  % (572310) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-572237-572310"...
% 30.89/4.76  % (572310)...printing done.
% 30.89/4.76  % (572310)Refutation found. Thanks to Tanya!
% 30.89/4.76  % SZS status Theorem for theBenchmark
% 30.89/4.76  % SZS output start Proof for theBenchmark
% 30.89/4.76  thf(type_def_5, type, proces554692349s_term: ($tType * $tType) > $tType).
% 30.89/4.76  thf(type_def_6, type, proces634752977rocess: $tType > $tType).
% 30.89/4.76  thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 30.89/4.76  thf(type_def_8, type, set: $tType > $tType).
% 30.89/4.76  thf(type_def_9, type, itself: $tType > $tType).
% 30.89/4.76  thf(type_def_10, type, b: $tType).
% 30.89/4.76  thf(type_def_11, type, a: $tType).
% 30.89/4.76  thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 30.89/4.76  thf(func_def_0, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o))).
% 30.89/4.76  thf(func_def_1, type, undefined: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_2, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 30.89/4.76  thf(func_def_3, type, order_above: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 30.89/4.76  thf(func_def_4, type, order_aboveS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 30.89/4.76  thf(func_def_5, type, proces1239275103le_CH1: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_6, type, proces1869379930H1_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > $o))).
% 30.89/4.76  thf(func_def_7, type, proces1239275104le_CH2: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_8, type, proces93903513H2_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > $o))).
% 30.89/4.76  thf(func_def_9, type, proces126235999e_CONT: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_10, type, proces1004198490NT_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > $o))).
% 30.89/4.76  thf(func_def_11, type, proces1708129104e_PREF: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > proces554692349s_term @ X1 @ X2) > proces554692349s_term @ X1 @ X0 > X1))).
% 30.89/4.76  thf(func_def_12, type, proces527360425EF_rel: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X1 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X1 @ X0 > $o))).
% 30.89/4.76  thf(func_def_13, type, proces1121166967uarded: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > proces554692349s_term @ X1 @ X2) > $o))).
% 30.89/4.76  thf(func_def_14, type, proces687458811_isACT: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > proces554692349s_term @ X1 @ X2) > proces554692349s_term @ X3 @ X0 > $o))).
% 30.89/4.76  thf(func_def_15, type, proces896239806CT_rel: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > $o))).
% 30.89/4.76  thf(func_def_16, type, proces1525233512Action: !>[X0: $tType]:((X0 > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_17, type, proces1915862579Choice: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_18, type, proces1406508781rocess: !>[X0: $tType, X1: $tType]:(((X0 > proces634752977rocess @ X0 > X1) > (proces634752977rocess @ X0 > proces634752977rocess @ X0 > X1) > proces634752977rocess @ X0 > X1))).
% 30.89/4.76  thf(func_def_19, type, proces979765041_ch1Of: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_20, type, proces988026546_ch2Of: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_21, type, proces1778668539contOf: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_22, type, proces894737309rocess: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > proces634752977rocess @ X1) > (X0 > X0) > (X0 > $o) > (X0 > proces634752977rocess @ X1) > (X0 > X0) > (X0 > $o) > (X0 > proces634752977rocess @ X1) > (X0 > X0) > X0 > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_23, type, proces10484146Action: !>[X0: $tType]:((proces634752977rocess @ X0 > $o))).
% 30.89/4.76  thf(func_def_24, type, proces401113213Choice: !>[X0: $tType]:((proces634752977rocess @ X0 > $o))).
% 30.89/4.76  thf(func_def_25, type, proces1205983068rocess: !>[X0: $tType]:(((X0 > $o) > proces634752977rocess @ X0 > $o))).
% 30.89/4.76  thf(func_def_26, type, proces745025900prefOf: !>[X0: $tType]:((proces634752977rocess @ X0 > X0))).
% 30.89/4.76  thf(func_def_27, type, proces749077512rocess: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o))).
% 30.89/4.76  thf(func_def_28, type, proces1454156180ss_ACT: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_29, type, proces89589571ess_CH: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_30, type, proces1062592052s_PROC: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X0 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_31, type, proces1627516585ss_VAR: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_32, type, proces460752237s_term: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (proces634752977rocess @ X2 > X1) > (X2 > proces554692349s_term @ X2 @ X0 > X1) > (proces554692349s_term @ X2 @ X0 > proces554692349s_term @ X2 @ X0 > X1) > proces554692349s_term @ X2 @ X0 > X1))).
% 30.89/4.76  thf(func_def_33, type, proces2118920028s_term: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > proces554692349s_term @ X0 @ X1 > $o))).
% 30.89/4.76  thf(func_def_34, type, proces2117273769s_term: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (proces634752977rocess @ X2 > X1) > (X2 > proces554692349s_term @ X2 @ X0 > X1 > X1) > (proces554692349s_term @ X2 @ X0 > proces554692349s_term @ X2 @ X0 > X1 > X1 > X1) > proces554692349s_term @ X2 @ X0 > X1))).
% 30.89/4.76  thf(func_def_35, type, proces2029722208s_term: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > proces554692349s_term @ X0 @ X2 > proces554692349s_term @ X1 @ X3 > $o))).
% 30.89/4.76  thf(func_def_36, type, proces1493547885s_term: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > set @ X1))).
% 30.89/4.76  thf(func_def_37, type, proces1652378886lution: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_38, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 30.89/4.76  thf(func_def_39, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 30.89/4.76  thf(func_def_40, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 30.89/4.76  thf(func_def_41, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 30.89/4.76  thf(func_def_42, type, type: !>[X0: $tType]:(itself @ X0)).
% 30.89/4.76  thf(func_def_43, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 30.89/4.76  thf(func_def_44, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 30.89/4.76  thf(func_def_45, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 30.89/4.76  thf(func_def_46, type, acc: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0))).
% 30.89/4.76  thf(func_def_47, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 30.89/4.76  thf(func_def_48, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 30.89/4.76  thf(func_def_49, type, adm_wf: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > ((X0 > X1) > X0 > X1) > $o))).
% 30.89/4.76  thf(func_def_50, type, cut: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ product_prod @ X0 @ X0 > X0 > X0 > X1))).
% 30.89/4.76  thf(func_def_51, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 30.89/4.76  thf(func_def_52, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 30.89/4.76  thf(func_def_53, type, p: proces634752977rocess @ a).
% 30.89/4.76  thf(func_def_54, type, p2: proces634752977rocess @ a).
% 30.89/4.76  thf(func_def_55, type, pa: proces634752977rocess @ a).
% 30.89/4.76  thf(func_def_56, type, q: proces634752977rocess @ a).
% 30.89/4.76  thf(func_def_57, type, sys: (b > proces554692349s_term @ a @ b)).
% 30.89/4.76  thf(func_def_61, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 30.89/4.76  thf(func_def_62, type, vNOT: ($o > $o)).
% 30.89/4.76  thf(func_def_63, type, vAND: ($o > $o > $o)).
% 30.89/4.76  thf(func_def_64, type, db0: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_65, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 30.89/4.76  thf(func_def_66, type, db1: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_67, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 30.89/4.76  thf(func_def_68, type, db2: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_69, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 30.89/4.76  thf(func_def_70, type, vIMP: ($o > $o > $o)).
% 30.89/4.76  thf(func_def_71, type, db3: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_72, type, vOR: ($o > $o > $o)).
% 30.89/4.76  thf(func_def_73, type, db5: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_74, type, db11: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_75, type, db10: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_76, type, db9: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_77, type, db8: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_78, type, db7: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_79, type, db6: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_80, type, db4: !>[X0: $tType]:(X0)).
% 30.89/4.76  thf(func_def_81, type, sP0: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > $o > $o))).
% 30.89/4.76  thf(func_def_82, type, sP1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X0 @ X1 > $o > (X1 > proces554692349s_term @ X3 @ X2) > $o))).
% 30.89/4.76  thf(func_def_83, type, sP2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X1 @ X0 > $o > (X0 > proces554692349s_term @ X3 @ X2) > $o))).
% 30.89/4.76  thf(func_def_84, type, sP3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X1 @ X0 > $o > (X0 > proces554692349s_term @ X3 @ X2) > $o))).
% 30.89/4.76  thf(func_def_85, type, sP4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > $o))).
% 30.89/4.76  thf(func_def_86, type, sP5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > $o))).
% 30.89/4.76  thf(func_def_87, type, sP6: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X0 @ X1 > X0 > (X1 > proces554692349s_term @ X0 @ X2) > $o))).
% 30.89/4.76  thf(func_def_88, type, sP7: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X0 > X1 > (X0 > proces554692349s_term @ X1 @ X2) > $o))).
% 30.89/4.76  thf(func_def_89, type, sP8: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X0 > X1 > (X0 > proces554692349s_term @ X1 @ X2) > $o))).
% 30.89/4.76  thf(func_def_90, type, sP9: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > X1 > $o))).
% 30.89/4.76  thf(func_def_91, type, sP10: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > $o))).
% 30.89/4.76  thf(func_def_92, type, sP11: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 30.89/4.76  thf(func_def_93, type, sP12: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 30.89/4.76  thf(func_def_94, type, sP13: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > $o))).
% 30.89/4.76  thf(func_def_95, type, sP14: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 30.89/4.76  thf(func_def_96, type, sP15: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 30.89/4.76  thf(func_def_97, type, sP16: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o))).
% 30.89/4.76  thf(func_def_98, type, sP17: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o))).
% 30.89/4.76  thf(func_def_99, type, sP18: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o))).
% 30.89/4.76  thf(func_def_100, type, sP19: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o))).
% 30.89/4.76  thf(func_def_101, type, sP20: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o))).
% 30.89/4.76  thf(func_def_102, type, sP21: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o))).
% 30.89/4.76  thf(func_def_103, type, sP22: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > $o))).
% 30.89/4.76  thf(func_def_104, type, sP23: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 30.89/4.76  thf(func_def_105, type, sP24: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 30.89/4.76  thf(func_def_106, type, sP25: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (proces634752977rocess @ X1 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X1 > proces634752977rocess @ X0 > $o))).
% 30.89/4.76  thf(func_def_107, type, sP26: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X1 > X0 > $o) > $o))).
% 30.89/4.76  thf(func_def_108, type, sP27: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > $o))).
% 30.89/4.76  thf(func_def_109, type, sP28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X1 > $o) > (proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > $o))).
% 30.89/4.76  thf(func_def_110, type, sP29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > $o))).
% 30.89/4.76  thf(func_def_111, type, sP30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > $o))).
% 30.89/4.76  thf(func_def_112, type, sP31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > $o))).
% 30.89/4.76  thf(func_def_113, type, sP32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X1 > X0 > $o) > $o))).
% 30.89/4.76  thf(func_def_114, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > $o > X2))).
% 30.89/4.76  thf(func_def_115, type, sK34: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_116, type, sK35: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_117, type, sK36: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > X0))).
% 30.89/4.76  thf(func_def_118, type, sK37: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_119, type, sK38: !>[X0: $tType, X1: $tType]:(($o > proces554692349s_term @ X0 @ X1 > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_120, type, sK39: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X1))).
% 30.89/4.76  thf(func_def_121, type, sK40: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_122, type, sK41: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_123, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > X2))).
% 30.89/4.76  thf(func_def_124, type, sK43: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_125, type, sK44: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_126, type, sK45: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_127, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > X2))).
% 30.89/4.76  thf(func_def_128, type, sK47: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_129, type, sK48: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_130, type, sK49: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_131, type, sK50: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_132, type, sK51: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_133, type, sK52: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_134, type, sK53: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_135, type, sK54: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_136, type, sK55: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_137, type, sK56: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_138, type, sK57: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_139, type, sK58: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_140, type, sK59: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_141, type, sK60: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_142, type, sK61: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_143, type, sK62: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_144, type, sK63: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_145, type, sK64: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_146, type, sK65: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_147, type, sK66: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_148, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > X1 > proces554692349s_term @ X2 @ X0))).
% 30.89/4.76  thf(func_def_149, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > proces554692349s_term @ X2 @ X1))).
% 30.89/4.76  thf(func_def_150, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > proces554692349s_term @ X2 @ X1))).
% 30.89/4.76  thf(func_def_151, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > X1 > proces554692349s_term @ X2 @ X0))).
% 30.89/4.76  thf(func_def_152, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > X2))).
% 30.89/4.76  thf(func_def_153, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > proces554692349s_term @ X2 @ X1))).
% 30.89/4.76  thf(func_def_154, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > X1 > proces554692349s_term @ X2 @ X0))).
% 30.89/4.76  thf(func_def_155, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > proces634752977rocess @ X2))).
% 30.89/4.76  thf(func_def_156, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > X1 > proces554692349s_term @ X2 @ X0))).
% 30.89/4.76  thf(func_def_157, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > X1))).
% 30.89/4.76  thf(func_def_158, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > X2 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_159, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_160, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_161, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > X2 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_162, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > X3))).
% 30.89/4.76  thf(func_def_163, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_164, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > X2 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_165, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > proces634752977rocess @ X3))).
% 30.89/4.76  thf(func_def_166, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > X2 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_167, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > X2))).
% 30.89/4.76  thf(func_def_168, type, sK87: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_169, type, sK88: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_170, type, sK89: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X1 @ X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_171, type, sK90: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_172, type, sK91: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X1 @ X0 > $o) > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_173, type, sK92: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X1 @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_174, type, sK93: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_175, type, sK94: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_176, type, sK95: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X1))).
% 30.89/4.76  thf(func_def_177, type, sK96: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_178, type, sK97: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_179, type, sK98: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0))).
% 30.89/4.76  thf(func_def_180, type, sK99: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_181, type, sK100: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 30.89/4.76  thf(func_def_182, type, sK101: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > X2 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_183, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_184, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_185, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > X2 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_186, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > X3))).
% 30.89/4.76  thf(func_def_187, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_188, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > X2 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_189, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > proces634752977rocess @ X3))).
% 30.89/4.76  thf(func_def_190, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > X2 > proces554692349s_term @ X0 @ X1))).
% 30.89/4.76  thf(func_def_191, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > X2))).
% 30.89/4.76  thf(func_def_192, type, sK111: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1 > proces554692349s_term @ X2 @ X0))).
% 30.89/4.76  thf(func_def_193, type, sK112: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > proces554692349s_term @ X2 @ X1))).
% 30.89/4.76  thf(func_def_194, type, sK113: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > proces554692349s_term @ X2 @ X1))).
% 30.89/4.76  thf(func_def_195, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1 > proces554692349s_term @ X2 @ X0))).
% 30.89/4.76  thf(func_def_196, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X2))).
% 30.89/4.76  thf(func_def_197, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > proces554692349s_term @ X2 @ X1))).
% 30.89/4.76  thf(func_def_198, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1 > proces554692349s_term @ X2 @ X0))).
% 30.89/4.76  thf(func_def_199, type, sK118: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > proces634752977rocess @ X2))).
% 30.89/4.76  thf(func_def_200, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1 > proces554692349s_term @ X2 @ X0))).
% 30.89/4.76  thf(func_def_201, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1))).
% 30.89/4.76  thf(func_def_202, type, sK121: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_203, type, sK122: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_204, type, sK123: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_205, type, sK124: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_206, type, sK125: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X1))).
% 30.89/4.76  thf(func_def_207, type, sK126: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_208, type, sK127: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_209, type, sK128: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_210, type, sK129: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_211, type, sK130: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0))).
% 30.89/4.76  thf(func_def_212, type, sK131: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_213, type, sK132: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X1))).
% 30.89/4.76  thf(func_def_214, type, sK133: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_215, type, sK134: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_216, type, sK135: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_217, type, sK136: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_218, type, sK137: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_219, type, sK138: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_220, type, sK139: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_221, type, sK140: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0))).
% 30.89/4.76  thf(func_def_222, type, sK141: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_223, type, sK142: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_224, type, sK143: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_225, type, sK144: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_226, type, sK145: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0 > X1))).
% 30.89/4.76  thf(func_def_227, type, sK146: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_228, type, sK147: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X1 @ X0 > $o > (X0 > proces554692349s_term @ X3 @ X2) > X1))).
% 30.89/4.76  thf(func_def_229, type, sK148: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X1 @ X0 > $o > (X0 > proces554692349s_term @ X3 @ X2) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_230, type, sK149: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X1 @ X0 > $o > (X0 > proces554692349s_term @ X3 @ X2) > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_231, type, sK150: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X0 @ X1 > $o > (X1 > proces554692349s_term @ X3 @ X2) > X1))).
% 30.89/4.76  thf(func_def_232, type, sK151: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(($o > proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_233, type, sK152: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(($o > proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_234, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > X2))).
% 30.89/4.76  thf(func_def_235, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > X3))).
% 30.89/4.76  thf(func_def_236, type, sK155: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_237, type, sK156: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces634752977rocess @ X3))).
% 30.89/4.76  thf(func_def_238, type, sK157: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > X2))).
% 30.89/4.76  thf(func_def_239, type, sK158: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_240, type, sK159: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_241, type, sK160: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces634752977rocess @ X3))).
% 30.89/4.76  thf(func_def_242, type, sK161: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 30.89/4.76  thf(func_def_243, type, sK162: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 30.89/4.76  thf(func_def_244, type, sK163: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_245, type, sK164: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_246, type, sK165: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 30.89/4.76  thf(func_def_247, type, sK166: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 30.89/4.76  thf(func_def_248, type, sK167: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X6))).
% 30.89/4.76  thf(func_def_249, type, sK168: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 30.89/4.76  thf(func_def_250, type, sK169: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 30.89/4.76  thf(func_def_251, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 30.89/4.76  thf(func_def_252, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 30.89/4.76  thf(func_def_253, type, sK172: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_254, type, sK173: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_255, type, sK174: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 30.89/4.76  thf(func_def_256, type, sK175: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 30.89/4.76  thf(func_def_257, type, sK176: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 30.89/4.76  thf(func_def_258, type, sK177: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 30.89/4.76  thf(func_def_259, type, sK178: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_260, type, sK179: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_261, type, sK180: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 30.89/4.76  thf(func_def_262, type, sK181: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 30.89/4.76  thf(func_def_263, type, sK182: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 30.89/4.76  thf(func_def_264, type, sK183: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_265, type, sK184: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_266, type, sK185: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 30.89/4.76  thf(func_def_267, type, sK186: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 30.89/4.76  thf(func_def_268, type, sK187: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_269, type, sK188: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_270, type, sK189: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 30.89/4.76  thf(func_def_271, type, sK190: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_272, type, sK191: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_273, type, sK192: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X0))).
% 30.89/4.76  thf(func_def_274, type, sK193: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X1))).
% 30.89/4.76  thf(func_def_275, type, sK194: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X2))).
% 30.89/4.76  thf(func_def_276, type, sK195: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X3))).
% 30.89/4.76  thf(func_def_277, type, sK196: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X4))).
% 30.89/4.76  thf(func_def_278, type, sK197: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X5))).
% 30.89/4.76  thf(func_def_279, type, sK198: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X6))).
% 30.89/4.76  thf(func_def_280, type, sK199: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X0))).
% 30.89/4.76  thf(func_def_281, type, sK200: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X1))).
% 30.89/4.76  thf(func_def_282, type, sK201: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X2))).
% 30.89/4.76  thf(func_def_283, type, sK202: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X3))).
% 30.89/4.76  thf(func_def_284, type, sK203: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X4))).
% 30.89/4.76  thf(func_def_285, type, sK204: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X5))).
% 30.89/4.76  thf(func_def_286, type, sK205: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 30.89/4.76  thf(func_def_287, type, sK206: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 30.89/4.76  thf(func_def_288, type, sK207: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 30.89/4.76  thf(func_def_289, type, sK208: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 30.89/4.76  thf(func_def_290, type, sK209: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 30.89/4.76  thf(func_def_291, type, sK210: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 30.89/4.76  thf(func_def_292, type, sK211: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 30.89/4.76  thf(func_def_293, type, sK212: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 30.89/4.76  thf(func_def_294, type, sK213: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 30.89/4.76  thf(func_def_295, type, sK214: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 30.89/4.76  thf(func_def_296, type, sK215: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 30.89/4.76  thf(func_def_297, type, sK216: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 30.89/4.76  thf(func_def_298, type, sK217: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_299, type, sK218: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_300, type, sK219: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_301, type, sK220: !>[X0: $tType]:((X0 > (X0 > X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_302, type, sK221: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_303, type, sK222: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_304, type, sK223: !>[X0: $tType]:((X0 > (X0 > X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_305, type, sK224: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 30.89/4.76  thf(func_def_306, type, sK225: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 30.89/4.76  thf(func_def_307, type, sK226: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 30.89/4.76  thf(func_def_308, type, sK227: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 30.89/4.76  thf(func_def_309, type, sK228: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 30.89/4.76  thf(func_def_310, type, sK229: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X0 > X1 > (X0 > proces554692349s_term @ X1 @ X2) > X1))).
% 30.89/4.76  thf(func_def_311, type, sK230: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X0 > X1 > (X0 > proces554692349s_term @ X1 @ X2) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_312, type, sK231: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X0 > X1 > (X0 > proces554692349s_term @ X1 @ X2) > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_313, type, sK232: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X0 @ X1 > X0 > (X1 > proces554692349s_term @ X0 @ X2) > X1))).
% 30.89/4.76  thf(func_def_314, type, sK233: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > proces554692349s_term @ X2 @ X1 > (X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1))).
% 30.89/4.76  thf(func_def_315, type, sK234: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > proces554692349s_term @ X2 @ X1 > (X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1))).
% 30.89/4.76  thf(func_def_316, type, sK235: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > X1 > X2))).
% 30.89/4.76  thf(func_def_317, type, sK236: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_318, type, sK237: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_319, type, sK238: !>[X0: $tType, X1: $tType]:((X1 > proces554692349s_term @ X1 @ X0 > X1))).
% 30.89/4.76  thf(func_def_320, type, sK239: !>[X0: $tType, X1: $tType]:((X1 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_321, type, sK240: !>[X0: $tType, X1: $tType]:((X1 > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_322, type, sK241: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_323, type, sK242: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_324, type, sK243: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_325, type, sK244: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > X1))).
% 30.89/4.76  thf(func_def_326, type, sK245: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > X1))).
% 30.89/4.76  thf(func_def_327, type, sK246: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_328, type, sK247: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_329, type, sK248: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_330, type, sK249: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_331, type, sK250: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > X1))).
% 30.89/4.76  thf(func_def_332, type, sK251: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > X1))).
% 30.89/4.76  thf(func_def_333, type, sK252: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_334, type, sK253: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > X0))).
% 30.89/4.76  thf(func_def_335, type, sK254: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X1))).
% 30.89/4.76  thf(func_def_336, type, sK255: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_337, type, sK256: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_338, type, sK257: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_339, type, sK258: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_340, type, sK259: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > X0))).
% 30.89/4.76  thf(func_def_341, type, sK260: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X1))).
% 30.89/4.76  thf(func_def_342, type, sK261: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_343, type, sK262: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_344, type, sK263: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_345, type, sK264: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_346, type, sK265: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_347, type, sK266: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_348, type, sK267: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_349, type, sK268: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_350, type, sK269: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > X0))).
% 30.89/4.76  thf(func_def_351, type, sK270: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_352, type, sK271: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_353, type, sK272: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > X1))).
% 30.89/4.76  thf(func_def_354, type, sK273: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_355, type, sK274: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_356, type, sK275: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > X1))).
% 30.89/4.76  thf(func_def_357, type, sK276: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_358, type, sK277: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_359, type, sK278: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > X1))).
% 30.89/4.76  thf(func_def_360, type, sK279: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_361, type, sK280: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_362, type, sK281: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_363, type, sK282: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o) > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_364, type, sK283: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_365, type, sK284: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_366, type, sK285: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_367, type, sK286: !>[X0: $tType]:((proces634752977rocess @ X0 > X0))).
% 30.89/4.76  thf(func_def_368, type, sK287: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_369, type, sK288: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X1 > X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_370, type, sK289: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X1 > X0 > $o) > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_371, type, sK290: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X1 > X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_372, type, sK291: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X1 > X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_373, type, sK292: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X0 > X1 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_374, type, sK293: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X0 > X1 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_375, type, sK294: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X0 > X1 > $o) > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_376, type, sK295: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X0 > X1 > $o) > proces634752977rocess @ X1))).
% 30.89/4.76  thf(func_def_377, type, sK296: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_378, type, sK297: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_379, type, sK298: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_380, type, sK299: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_381, type, sK300: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_382, type, sK301: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_383, type, sK302: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_384, type, sK303: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_385, type, sK304: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_386, type, sK305: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_387, type, sK306: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_388, type, sK307: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_389, type, sK308: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_390, type, sK309: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_391, type, sK310: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_392, type, sK311: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_393, type, sK312: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_394, type, sK313: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_395, type, sK314: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_396, type, sK315: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_397, type, sK316: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_398, type, sK317: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_399, type, sK318: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_400, type, sK319: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_401, type, sK320: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X1 > $o) > (proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > X3))).
% 30.89/4.76  thf(func_def_402, type, sK321: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X1 > $o) > (proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X3 @ X2))).
% 30.89/4.76  thf(func_def_403, type, sK322: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X1 > $o) > (proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_404, type, sK323: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X1 > $o) > (proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 30.89/4.76  thf(func_def_405, type, sK324: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X3 @ X2 > $o) > (X0 > X3 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_406, type, sK325: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X3 @ X2 > $o) > (X0 > X3 > $o) > proces634752977rocess @ X3))).
% 30.89/4.76  thf(func_def_407, type, sK326: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X3 @ X2 > $o) > (X1 > X2 > $o) > X1))).
% 30.89/4.76  thf(func_def_408, type, sK327: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X3 @ X2 > $o) > (X1 > X2 > $o) > X2))).
% 30.89/4.76  thf(func_def_409, type, sK328: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X1 > X0 > $o) > X1))).
% 30.89/4.76  thf(func_def_410, type, sK329: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X1 > X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_411, type, sK330: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X3 @ X1))).
% 30.89/4.76  thf(func_def_412, type, sK331: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X3 @ X1))).
% 30.89/4.76  thf(func_def_413, type, sK332: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X2 @ X0))).
% 30.89/4.76  thf(func_def_414, type, sK333: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X2 @ X0))).
% 30.89/4.76  thf(func_def_415, type, sK334: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > X3))).
% 30.89/4.76  thf(func_def_416, type, sK335: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X3 @ X1))).
% 30.89/4.76  thf(func_def_417, type, sK336: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > X2))).
% 30.89/4.76  thf(func_def_418, type, sK337: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X2 @ X0))).
% 30.89/4.76  thf(func_def_419, type, sK338: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X0 @ X1 > (X0 > X3 > $o) > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_420, type, sK339: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X0 @ X1 > (X0 > X3 > $o) > proces634752977rocess @ X3))).
% 30.89/4.76  thf(func_def_421, type, sK340: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_422, type, sK341: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 30.89/4.76  thf(func_def_423, type, sK342: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1 > set @ product_prod @ X1 @ X1 > X1))).
% 30.89/4.76  thf(func_def_424, type, sK343: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ product_prod @ X1 @ X1 > X1 > (X1 > X0) > X1))).
% 30.89/4.76  thf(func_def_425, type, sK344: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 30.89/4.76  thf(func_def_426, type, sK345: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 30.89/4.76  thf(func_def_427, type, sK346: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > X0))).
% 30.89/4.76  thf(func_def_428, type, sK347: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > X0))).
% 30.89/4.76  thf(func_def_429, type, sK348: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > X0))).
% 30.89/4.76  thf(func_def_430, type, sK349: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > X0))).
% 30.89/4.76  thf(func_def_431, type, sK350: !>[X0: $tType, X1: $tType]:(((X1 > proces554692349s_term @ X0 @ X1) > X1))).
% 30.89/4.76  thf(func_def_432, type, sK351: !>[X0: $tType, X1: $tType]:(((X1 > proces554692349s_term @ X0 @ X1) > X1))).
% 30.89/4.76  thf(func_def_434, type, sK353: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > b > proces554692349s_term @ a @ b) > (X0 > proces634752977rocess @ a) > b))).
% 30.89/4.76  thf(func_def_435, type, sK354: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_436, type, sK355: !>[X0: $tType]:((proces634752977rocess @ X0 > X0))).
% 30.89/4.76  thf(func_def_437, type, sK356: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 30.89/4.76  thf(func_def_438, type, sK357: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 30.89/4.76  thf(f1,axiom,(
% 30.89/4.76    (proces401113213Choice @ a @ pa)),
% 30.89/4.76    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062isChoice_Ap_092_060close_062)).
% 30.89/4.76  thf(f8,axiom,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X0 > X1),X4 : (proces634752977rocess @ X2 > X1),X5 : (X2 > proces554692349s_term @ X2 @ X0 > X1),X6 : (proces554692349s_term @ X2 @ X0 > proces554692349s_term @ X2 @ X0 > X1),X7 : proces634752977rocess @ X2] : (((proces460752237s_term @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ (proces1062592052s_PROC @ X2 @ X0 @ X7))) = ((X4 @ X7)))),
% 30.89/4.76    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_process__term_Osimps_I18_J)).
% 30.89/4.76  thf(f29,axiom,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType,X2 : proces634752977rocess @ X1,X3 : X1,X4 : proces554692349s_term @ X1 @ X0] : (((proces1062592052s_PROC @ X1 @ X0 @ X2)) != ((proces1454156180ss_ACT @ X1 @ X0 @ X3 @ X4)))),
% 30.89/4.76    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_process__term_Odistinct_I7_J)).
% 30.89/4.76  thf(f31,axiom,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : (X2 > proces554692349s_term @ X1 @ X0),X5 : proces554692349s_term @ X3 @ X2] : ((proces687458811_isACT @ X2 @ X1 @ X0 @ X3 @ X4 @ X5) => (! [X6 : X2] : ((X5 = ((proces1627516585ss_VAR @ X2 @ X3 @ X6))) => ~(proces460752237s_term @ X0 @ $o @ X1 @ (^[X7 : X0] : ($false)) @ proces10484146Action @ X1 @ (^[X8 : X1, X9 : proces554692349s_term @ X1 @ X0] : ($true)) @ (^[X10 : proces554692349s_term @ X1 @ X0, X11 : proces554692349s_term @ X1 @ X0] : ($false)) @ (X4 @ X6))) => (! [X12 : proces634752977rocess @ X3] : ((X5 = ((proces1062592052s_PROC @ X3 @ X2 @ X12))) => ~(proces10484146Action @ X3 @ X12)) => ~ ! [X13 : X3,X14 : proces554692349s_term @ X3 @ X2] : (X5 != ((proces1454156180ss_ACT @ X3 @ X2 @ X13 @ X14))))))),
% 30.89/4.76    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_isACT_Oelims_I2_J)).
% 30.89/4.76  thf(f41,axiom,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType,X2 : X0,X3 : proces634752977rocess @ X1] : (((proces1627516585ss_VAR @ X0 @ X1 @ X2)) != ((proces1062592052s_PROC @ X1 @ X0 @ X3)))),
% 30.89/4.76    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_process__term_Odistinct_I1_J)).
% 30.89/4.76  thf(f142,axiom,(
% 30.89/4.76    ! [X0 : $tType] : (proces401113213Choice @ X0 = ((proces1406508781rocess @ X0 @ $o @ (^[X1 : X0, X2 : proces634752977rocess @ X0] : ($false)) @ (^[X1 : proces634752977rocess @ X0, X2 : proces634752977rocess @ X0] : ($true)))))),
% 30.89/4.76    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_process_Odisc__eq__case_I2_J)).
% 30.89/4.76  thf(f145,axiom,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType] : (proces1406508781rocess @ X1 @ X0 = (^[X2 : (X1 > proces634752977rocess @ X1 > X0), X3 : (proces634752977rocess @ X1 > proces634752977rocess @ X1 > X0), X4 : proces634752977rocess @ X1] : ((if @ X0 @ (proces10484146Action @ X1 @ X4) @ (X2 @ (proces745025900prefOf @ X1 @ X4) @ (proces1778668539contOf @ X1 @ X4)) @ (X3 @ (proces979765041_ch1Of @ X1 @ X4) @ (proces988026546_ch2Of @ X1 @ X4))))))),
% 30.89/4.76    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_process_Ocase__eq__if)).
% 30.89/4.76  thf(f256,axiom,(
% 30.89/4.76    ! [X0 : $o] : ((X0 = $false) | (X0 = $true))),
% 30.89/4.76    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_T)).
% 30.89/4.76  thf(f258,axiom,(
% 30.89/4.76    ! [X0 : $tType,X1 : X0,X2 : X0] : (((if @ X0 @ $true @ X1 @ X2)) = X1)),
% 30.89/4.76    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_T)).
% 30.89/4.76  thf(f259,conjecture,(
% 30.89/4.76    ~(proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))),
% 30.89/4.76    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 30.89/4.76  thf(f260,negated_conjecture,(
% 30.89/4.76    ~ ~(proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))),
% 30.89/4.76    inference(negated_conjecture,[status(cth)],[f259])).
% 30.89/4.76  thf(f261,plain,(
% 30.89/4.76    (proces401113213Choice @ a @ pa)),
% 30.89/4.76    inference(rectify,[],[f1])).
% 30.89/4.76  thf(f262,plain,(
% 30.89/4.76    (((proces401113213Choice @ a @ pa)) = $true)),
% 30.89/4.76    inference(fool_elimination,[],[f261])).
% 30.89/4.76  thf(f292,plain,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : (X2 > proces554692349s_term @ X1 @ X0),X5 : proces554692349s_term @ X3 @ X2] : ((proces687458811_isACT @ X2 @ X1 @ X0 @ X3 @ X4 @ X5) => (! [X6 : X2] : ((X5 = ((proces1627516585ss_VAR @ X2 @ X3 @ X6))) => ~(proces460752237s_term @ X0 @ $o @ X1 @ (^[X7 : X0] : ($false)) @ proces10484146Action @ X1 @ (^[X8 : X1, X9 : proces554692349s_term @ X1 @ X0] : ($true)) @ (^[X10 : proces554692349s_term @ X1 @ X0, X11 : proces554692349s_term @ X1 @ X0] : ($false)) @ (X4 @ X6))) => (! [X12 : proces634752977rocess @ X3] : ((X5 = ((proces1062592052s_PROC @ X3 @ X2 @ X12))) => ~(proces10484146Action @ X3 @ X12)) => ~ ! [X13 : X3,X14 : proces554692349s_term @ X3 @ X2] : (X5 != ((proces1454156180ss_ACT @ X3 @ X2 @ X13 @ X14))))))),
% 30.89/4.76    inference(rectify,[],[f31])).
% 30.89/4.76  thf(f293,plain,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : (X2 > proces554692349s_term @ X1 @ X0),X5 : proces554692349s_term @ X3 @ X2] : ((((proces687458811_isACT @ X2 @ X1 @ X0 @ X3 @ X4 @ X5)) = $true) => (! [X6 : X2] : ((((proces1627516585ss_VAR @ X2 @ X3 @ X6)) = X5) => ~ ($true = ((proces460752237s_term @ X0 @ $o @ X1 @ (^[Y0 : X0]: ($false)) @ proces10484146Action @ X1 @ (^[Y0 : X1]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($true)))) @ (^[Y0 : proces554692349s_term @ X1 @ X0]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($false)))) @ (X4 @ X6))))) => (! [X12 : proces634752977rocess @ X3] : ((((proces1062592052s_PROC @ X3 @ X2 @ X12)) = X5) => ~ (((proces10484146Action @ X3 @ X12)) = $true)) => ~ ! [X13 : X3,X14 : proces554692349s_term @ X3 @ X2] : (((proces1454156180ss_ACT @ X3 @ X2 @ X13 @ X14)) != X5))))),
% 30.89/4.76    inference(fool_elimination,[],[f292])).
% 30.89/4.76  thf(f443,plain,(
% 30.89/4.76    ! [X0 : $tType] : (proces401113213Choice @ X0 = ((proces1406508781rocess @ X0 @ $o @ (^[X1 : X0, X2 : proces634752977rocess @ X0] : ($false)) @ (^[X3 : proces634752977rocess @ X0, X4 : proces634752977rocess @ X0] : ($true)))))),
% 30.89/4.76    inference(rectify,[],[f142])).
% 30.89/4.76  thf(f444,plain,(
% 30.89/4.76    ! [X0 : $tType] : (proces401113213Choice @ X0 = ((proces1406508781rocess @ X0 @ $o @ (^[Y0 : X0]: ((^[Y1 : proces634752977rocess @ X0]: ($false)))) @ (^[Y0 : proces634752977rocess @ X0]: ((^[Y1 : proces634752977rocess @ X0]: ($true)))))))),
% 30.89/4.76    inference(fool_elimination,[],[f443])).
% 30.89/4.76  thf(f449,plain,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType] : (proces1406508781rocess @ X1 @ X0 = (^[Y0 : X1 > proces634752977rocess @ X1 > X0]: ((^[Y1 : proces634752977rocess @ X1 > proces634752977rocess @ X1 > X0]: ((^[Y2 : proces634752977rocess @ X1]: (if @ X0 @ (proces10484146Action @ X1 @ Y2) @ (Y0 @ (proces745025900prefOf @ X1 @ Y2) @ (proces1778668539contOf @ X1 @ Y2)) @ (Y1 @ (proces979765041_ch1Of @ X1 @ Y2) @ (proces988026546_ch2Of @ X1 @ Y2)))))))))),
% 30.89/4.76    inference(fool_elimination,[],[f145])).
% 30.89/4.76  thf(f632,plain,(
% 30.89/4.76    ! [X0 : $o] : (($false = X0) | ($true = X0))),
% 30.89/4.76    inference(fool_elimination,[],[f256])).
% 30.89/4.76  thf(f635,plain,(
% 30.89/4.76    ! [X0 : $tType,X1 : X0,X2 : X0] : (((if @ X0 @ $true @ X1 @ X2)) = X1)),
% 30.89/4.76    inference(rectify,[],[f258])).
% 30.89/4.76  thf(f636,plain,(
% 30.89/4.76    ! [X0 : $tType,X1 : X0,X2 : X0] : (((if @ X0 @ $true @ X1 @ X2)) = X1)),
% 30.89/4.76    inference(fool_elimination,[],[f635])).
% 30.89/4.76  thf(f637,plain,(
% 30.89/4.76    ~ ~(proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))),
% 30.89/4.76    inference(rectify,[],[f260])).
% 30.89/4.76  thf(f638,plain,(
% 30.89/4.76    ~ ~ (((proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))) = $true)),
% 30.89/4.76    inference(fool_elimination,[],[f637])).
% 30.89/4.76  thf(f646,plain,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : (X2 > proces554692349s_term @ X1 @ X0),X5 : proces554692349s_term @ X3 @ X2] : ((((proces687458811_isACT @ X2 @ X1 @ X0 @ X3 @ X4 @ X5)) = $true) => (! [X6 : X2] : ((((proces1627516585ss_VAR @ X2 @ X3 @ X6)) = X5) => ~ ($true = ((proces460752237s_term @ X0 @ $o @ X1 @ (^[Y0 : X0]: ($false)) @ proces10484146Action @ X1 @ (^[Y0 : X1]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($true)))) @ (^[Y0 : proces554692349s_term @ X1 @ X0]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($false)))) @ (X4 @ X6))))) => (! [X7 : proces634752977rocess @ X3] : ((((proces1062592052s_PROC @ X3 @ X2 @ X7)) = X5) => ~ ($true = ((proces10484146Action @ X3 @ X7)))) => ~ ! [X8 : X3,X9 : proces554692349s_term @ X3 @ X2] : (((proces1454156180ss_ACT @ X3 @ X2 @ X8 @ X9)) != X5))))),
% 30.89/4.76    inference(rectify,[],[f293])).
% 30.89/4.76  thf(f647,plain,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : (X2 > proces554692349s_term @ X1 @ X0),X5 : proces554692349s_term @ X3 @ X2] : ((((proces687458811_isACT @ X2 @ X1 @ X0 @ X3 @ X4 @ X5)) = $true) => (! [X6 : X2] : ((((proces1627516585ss_VAR @ X2 @ X3 @ X6)) = X5) => ($true != ((proces460752237s_term @ X0 @ $o @ X1 @ (^[Y0 : X0]: ($false)) @ proces10484146Action @ X1 @ (^[Y0 : X1]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($true)))) @ (^[Y0 : proces554692349s_term @ X1 @ X0]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($false)))) @ (X4 @ X6))))) => (! [X7 : proces634752977rocess @ X3] : ((((proces1062592052s_PROC @ X3 @ X2 @ X7)) = X5) => ($true != ((proces10484146Action @ X3 @ X7)))) => ~ ! [X8 : X3,X9 : proces554692349s_term @ X3 @ X2] : (((proces1454156180ss_ACT @ X3 @ X2 @ X8 @ X9)) != X5))))),
% 30.89/4.76    inference(flattening,[],[f646])).
% 30.89/4.76  thf(f701,plain,(
% 30.89/4.76    (((proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))) = $true)),
% 30.89/4.76    inference(flattening,[],[f638])).
% 30.89/4.76  thf(f710,plain,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : (X2 > proces554692349s_term @ X1 @ X0),X5 : proces554692349s_term @ X3 @ X2] : (((? [X8 : X3,X9 : proces554692349s_term @ X3 @ X2] : (((proces1454156180ss_ACT @ X3 @ X2 @ X8 @ X9)) = X5) | ? [X7 : proces634752977rocess @ X3] : (($true = ((proces10484146Action @ X3 @ X7))) & (((proces1062592052s_PROC @ X3 @ X2 @ X7)) = X5))) | ? [X6 : X2] : (($true = ((proces460752237s_term @ X0 @ $o @ X1 @ (^[Y0 : X0]: ($false)) @ proces10484146Action @ X1 @ (^[Y0 : X1]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($true)))) @ (^[Y0 : proces554692349s_term @ X1 @ X0]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($false)))) @ (X4 @ X6)))) & (((proces1627516585ss_VAR @ X2 @ X3 @ X6)) = X5))) | (((proces687458811_isACT @ X2 @ X1 @ X0 @ X3 @ X4 @ X5)) != $true))),
% 30.89/4.76    inference(ennf_transformation,[],[f647])).
% 30.89/4.76  thf(f711,plain,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : (X2 > proces554692349s_term @ X1 @ X0),X5 : proces554692349s_term @ X3 @ X2] : (? [X8 : X3,X9 : proces554692349s_term @ X3 @ X2] : (((proces1454156180ss_ACT @ X3 @ X2 @ X8 @ X9)) = X5) | ? [X7 : proces634752977rocess @ X3] : (($true = ((proces10484146Action @ X3 @ X7))) & (((proces1062592052s_PROC @ X3 @ X2 @ X7)) = X5)) | ? [X6 : X2] : (($true = ((proces460752237s_term @ X0 @ $o @ X1 @ (^[Y0 : X0]: ($false)) @ proces10484146Action @ X1 @ (^[Y0 : X1]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($true)))) @ (^[Y0 : proces554692349s_term @ X1 @ X0]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($false)))) @ (X4 @ X6)))) & (((proces1627516585ss_VAR @ X2 @ X3 @ X6)) = X5)) | (((proces687458811_isACT @ X2 @ X1 @ X0 @ X3 @ X4 @ X5)) != $true))),
% 30.89/4.76    inference(flattening,[],[f710])).
% 30.89/4.76  thf(f918,plain,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : (X2 > proces554692349s_term @ X1 @ X0),X5 : proces554692349s_term @ X3 @ X2] : (? [X6 : X3,X7 : proces554692349s_term @ X3 @ X2] : (((proces1454156180ss_ACT @ X3 @ X2 @ X6 @ X7)) = X5) | ? [X8 : proces634752977rocess @ X3] : (($true = ((proces10484146Action @ X3 @ X8))) & (((proces1062592052s_PROC @ X3 @ X2 @ X8)) = X5)) | ? [X9 : X2] : (($true = ((proces460752237s_term @ X0 @ $o @ X1 @ (^[Y0 : X0]: ($false)) @ proces10484146Action @ X1 @ (^[Y0 : X1]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($true)))) @ (^[Y0 : proces554692349s_term @ X1 @ X0]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($false)))) @ (X4 @ X9)))) & (((proces1627516585ss_VAR @ X2 @ X3 @ X9)) = X5)) | (((proces687458811_isACT @ X2 @ X1 @ X0 @ X3 @ X4 @ X5)) != $true))),
% 30.89/4.76    inference(rectify,[],[f711])).
% 30.89/4.76  thf(f919,plain,(
% 30.89/4.76    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : (X2 > proces554692349s_term @ X1 @ X0),X5 : proces554692349s_term @ X3 @ X2] : ((((proces1454156180ss_ACT @ X3 @ X2 @ (sK39 @ X2 @ X3 @ X5) @ (sK40 @ X2 @ X3 @ X5))) = X5) | (($true = ((proces10484146Action @ X3 @ (sK41 @ X2 @ X3 @ X5)))) & (((proces1062592052s_PROC @ X3 @ X2 @ (sK41 @ X2 @ X3 @ X5))) = X5)) | (($true = ((proces460752237s_term @ X0 @ $o @ X1 @ (^[Y0 : X0]: ($false)) @ proces10484146Action @ X1 @ (^[Y0 : X1]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($true)))) @ (^[Y0 : proces554692349s_term @ X1 @ X0]: ((^[Y1 : proces554692349s_term @ X1 @ X0]: ($false)))) @ (X4 @ (sK42 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4))))) & (((proces1627516585ss_VAR @ X2 @ X3 @ (sK42 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4))) = X5)) | (((proces687458811_isACT @ X2 @ X1 @ X0 @ X3 @ X4 @ X5)) != $true))),
% 30.89/4.76    inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP,vAPP]),skolemize(X7,sK33 @ X2 @ X3 @ X4 @ X6 @ X5 @ X1 @ X0),skolemize(X7,sK33 @ X2 @ X3 @ X4 @ X6 @ X5 @ X1 @ X0),skolemize(X7,sK33 @ X2 @ X3 @ X4 @ X6 @ X5 @ X1 @ X0),skolemize(X7,sK33 @ X2 @ X3 @ X4 @ X6 @ X5 @ X1 @ X0)],[f918])).
% 30.89/4.76  thf(f1104,plain,(
% 30.89/4.76    (((proces401113213Choice @ a @ pa)) = $true)),
% 30.89/4.76    inference(cnf_transformation,[],[f262])).
% 30.89/4.76  thf(f1111,plain,(
% 30.89/4.76    ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X0 > X1),X6 : (proces554692349s_term @ X2 @ X0 > proces554692349s_term @ X2 @ X0 > X1),X7 : proces634752977rocess @ X2,X4 : (proces634752977rocess @ X2 > X1),X5 : (X2 > proces554692349s_term @ X2 @ X0 > X1)] : ((((X4 @ X7)) = ((proces460752237s_term @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ (proces1062592052s_PROC @ X2 @ X0 @ X7))))) )),
% 30.89/4.76    inference(cnf_transformation,[],[f8])).
% 30.89/4.76  thf(f1132,plain,(
% 30.89/4.76    ( ! [X1 : $tType,X0 : $tType,X2 : proces634752977rocess @ X1,X3 : X1,X4 : proces554692349s_term @ X1 @ X0] : ((((proces1062592052s_PROC @ X1 @ X0 @ X2)) != ((proces1454156180ss_ACT @ X1 @ X0 @ X3 @ X4)))) )),
% 30.89/4.76    inference(cnf_transformation,[],[f29])).
% 30.89/4.76  thf(f1143,plain,(
% 30.89/4.76    ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X4 : (X2 > proces554692349s_term @ X1 @ X0),X5 : proces554692349s_term @ X3 @ X2] : ((((proces687458811_isACT @ X2 @ X1 @ X0 @ X3 @ X4 @ X5)) != $true) | (((proces1062592052s_PROC @ X3 @ X2 @ (sK41 @ X2 @ X3 @ X5))) = X5) | (((proces1627516585ss_VAR @ X2 @ X3 @ (sK42 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4))) = X5) | (((proces1454156180ss_ACT @ X3 @ X2 @ (sK39 @ X2 @ X3 @ X5) @ (sK40 @ X2 @ X3 @ X5))) = X5)) )),
% 30.89/4.76    inference(cnf_transformation,[],[f919])).
% 30.89/4.76  thf(f1145,plain,(
% 30.89/4.76    ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X4 : (X2 > proces554692349s_term @ X1 @ X0),X5 : proces554692349s_term @ X3 @ X2] : ((((proces687458811_isACT @ X2 @ X1 @ X0 @ X3 @ X4 @ X5)) != $true) | ($true = ((proces10484146Action @ X3 @ (sK41 @ X2 @ X3 @ X5)))) | (((proces1627516585ss_VAR @ X2 @ X3 @ (sK42 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4))) = X5) | (((proces1454156180ss_ACT @ X3 @ X2 @ (sK39 @ X2 @ X3 @ X5) @ (sK40 @ X2 @ X3 @ X5))) = X5)) )),
% 30.89/4.76    inference(cnf_transformation,[],[f919])).
% 30.89/4.76  thf(f1164,plain,(
% 30.89/4.76    ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : proces634752977rocess @ X1] : ((((proces1062592052s_PROC @ X1 @ X0 @ X3)) != ((proces1627516585ss_VAR @ X0 @ X1 @ X2)))) )),
% 30.89/4.76    inference(cnf_transformation,[],[f41])).
% 30.89/4.76  thf(f1358,plain,(
% 30.89/4.76    ( ! [X0 : $tType] : ((proces401113213Choice @ X0 = ((proces1406508781rocess @ X0 @ $o @ (^[Y0 : X0]: ((^[Y1 : proces634752977rocess @ X0]: ($false)))) @ (^[Y0 : proces634752977rocess @ X0]: ((^[Y1 : proces634752977rocess @ X0]: ($true)))))))) )),
% 30.89/4.76    inference(cnf_transformation,[],[f444])).
% 30.89/4.76  thf(f1379,plain,(
% 30.89/4.76    ( ! [X1 : $tType,X0 : $tType] : ((proces1406508781rocess @ X1 @ X0 = (^[Y0 : X1 > proces634752977rocess @ X1 > X0]: ((^[Y1 : proces634752977rocess @ X1 > proces634752977rocess @ X1 > X0]: ((^[Y2 : proces634752977rocess @ X1]: (if @ X0 @ (proces10484146Action @ X1 @ Y2) @ (Y0 @ (proces745025900prefOf @ X1 @ Y2) @ (proces1778668539contOf @ X1 @ Y2)) @ (Y1 @ (proces979765041_ch1Of @ X1 @ Y2) @ (proces988026546_ch2Of @ X1 @ Y2)))))))))) )),
% 30.89/4.76    inference(cnf_transformation,[],[f449])).
% 30.89/4.76  thf(f1586,plain,(
% 30.89/4.76    ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 30.89/4.76    inference(cnf_transformation,[],[f632])).
% 30.89/4.76  thf(f1588,plain,(
% 30.89/4.76    ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((if @ X0 @ $true @ X1 @ X2)) = X1)) )),
% 30.89/4.76    inference(cnf_transformation,[],[f636])).
% 30.89/4.76  thf(f1589,plain,(
% 30.89/4.76    (((proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))) = $true)),
% 30.89/4.76    inference(cnf_transformation,[],[f701])).
% 30.89/4.76  thf(f1592,plain,(
% 30.89/4.76    ( ! [X0 : $tType] : ((proces401113213Choice @ X0 = (((^[Y0 : X0 > proces634752977rocess @ X0 > $o]: ((^[Y1 : proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o]: ((^[Y2 : proces634752977rocess @ X0]: (if @ $o @ (proces10484146Action @ X0 @ Y2) @ (Y0 @ (proces745025900prefOf @ X0 @ Y2) @ (proces1778668539contOf @ X0 @ Y2)) @ (Y1 @ (proces979765041_ch1Of @ X0 @ Y2) @ (proces988026546_ch2Of @ X0 @ Y2)))))))) @ (^[Y0 : X0]: ((^[Y1 : proces634752977rocess @ X0]: ($false)))) @ (^[Y0 : proces634752977rocess @ X0]: ((^[Y1 : proces634752977rocess @ X0]: ($true)))))))) )),
% 30.89/4.76    inference(definition_unfolding,[],[f1358,f1379])).
% 30.89/4.76  thf(f1598,plain,(
% 30.89/4.76    ($true = (((^[Y0 : a > proces634752977rocess @ a > $o]: ((^[Y1 : proces634752977rocess @ a > proces634752977rocess @ a > $o]: ((^[Y2 : proces634752977rocess @ a]: (if @ $o @ (proces10484146Action @ a @ Y2) @ (Y0 @ (proces745025900prefOf @ a @ Y2) @ (proces1778668539contOf @ a @ Y2)) @ (Y1 @ (proces979765041_ch1Of @ a @ Y2) @ (proces988026546_ch2Of @ a @ Y2)))))))) @ (^[Y0 : a]: ((^[Y1 : proces634752977rocess @ a]: ($false)))) @ (^[Y0 : proces634752977rocess @ a]: ((^[Y1 : proces634752977rocess @ a]: ($true)))) @ pa)))),
% 30.89/4.76    inference(definition_unfolding,[],[f1104,f1592])).
% 30.89/4.76  thf(f2192,plain,(
% 30.89/4.76    ($true = ((if @ $o @ (proces10484146Action @ a @ pa) @ $false @ $true)))),
% 30.89/4.76    inference(beta-eta_normalization,[],[f1598])).
% 30.89/4.76  thf(f2202,definition,(
% 30.89/4.76    spl352_2 <=> ($true = ((if @ $o @ (proces10484146Action @ a @ pa) @ $false @ $true)))),
% 30.89/4.76    introduced(definition,[new_symbols(definition,[spl352_2])],[avatar_definition])).
% 30.89/4.76  thf(f2203,plain,(
% 30.89/4.76    ($true = ((if @ $o @ (proces10484146Action @ a @ pa) @ $false @ $true))) | ~spl352_2),
% 30.89/4.76    inference(avatar_component_clause,[],[f2202])).
% 30.89/4.76  thf(f2205,plain,(
% 30.89/4.76    spl352_2),
% 30.89/4.76    inference(avatar_split_clause,[],[f2192,f2202])).
% 30.89/4.76  thf(f2276,plain,(
% 30.89/4.76    ($true = ((if @ $o @ $true @ $false @ $true))) | (((proces10484146Action @ a @ pa)) = $false) | ~spl352_2),
% 30.89/4.76    inference(constrained_superposition,[],[f2203,f1586])).
% 30.89/4.76  thf(f2284,plain,(
% 30.89/4.76    ($true = $false) | (((proces10484146Action @ a @ pa)) = $false) | ~spl352_2),
% 30.89/4.76    inference(forward_demodulation,[],[f2276,f1588])).
% 30.89/4.76  thf(f2285,plain,(
% 30.89/4.76    (((proces10484146Action @ a @ pa)) = $false) | ~spl352_2),
% 30.89/4.76    inference(trivial_inequality_removal,[],[f2284])).
% 30.89/4.76  thf(f12954,plain,(
% 30.89/4.76    ($true != $true) | ($true = ((proces10484146Action @ a @ (sK41 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa))))) | (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1627516585ss_VAR @ b @ a @ (sK42 @ b @ a @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa) @ sys)))) | (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1454156180ss_ACT @ a @ b @ (sK39 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)) @ (sK40 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)))))),
% 30.89/4.76    inference(constrained_superposition,[],[f1145,f1589])).
% 30.89/4.76  thf(f12961,plain,(
% 30.89/4.76    ($true = ((proces10484146Action @ a @ (sK41 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa))))) | (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1627516585ss_VAR @ b @ a @ (sK42 @ b @ a @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa) @ sys)))) | (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1454156180ss_ACT @ a @ b @ (sK39 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)) @ (sK40 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)))))),
% 30.89/4.76    inference(trivial_inequality_removal,[],[f12954])).
% 30.89/4.76  thf(f12971,plain,(
% 30.89/4.76    ($true = ((proces10484146Action @ a @ (sK41 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa))))) | (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1454156180ss_ACT @ a @ b @ (sK39 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)) @ (sK40 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)))))),
% 30.89/4.76    inference(forward_subsumption_resolution,[],[f12961,f1164])).
% 30.89/4.76  thf(f12973,plain,(
% 30.89/4.76    ($true = ((proces10484146Action @ a @ (sK41 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)))))),
% 30.89/4.76    inference(forward_subsumption_resolution,[],[f12971,f1132])).
% 30.89/4.76  thf(f13940,plain,(
% 30.89/4.76    ($true != $true) | (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1062592052s_PROC @ a @ b @ (sK41 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa))))) | (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1627516585ss_VAR @ b @ a @ (sK42 @ b @ a @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa) @ sys)))) | (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1454156180ss_ACT @ a @ b @ (sK39 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)) @ (sK40 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)))))),
% 30.89/4.76    inference(constrained_superposition,[],[f1143,f1589])).
% 30.89/4.76  thf(f13947,plain,(
% 30.89/4.76    (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1062592052s_PROC @ a @ b @ (sK41 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa))))) | (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1627516585ss_VAR @ b @ a @ (sK42 @ b @ a @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa) @ sys)))) | (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1454156180ss_ACT @ a @ b @ (sK39 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)) @ (sK40 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)))))),
% 30.89/4.76    inference(trivial_inequality_removal,[],[f13940])).
% 30.89/4.76  thf(f13957,plain,(
% 30.89/4.76    (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1062592052s_PROC @ a @ b @ (sK41 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa))))) | (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1454156180ss_ACT @ a @ b @ (sK39 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)) @ (sK40 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)))))),
% 30.89/4.76    inference(forward_subsumption_resolution,[],[f13947,f1164])).
% 30.89/4.76  thf(f13960,plain,(
% 30.89/4.76    (((proces1062592052s_PROC @ a @ b @ pa)) = ((proces1062592052s_PROC @ a @ b @ (sK41 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)))))),
% 30.89/4.76    inference(forward_subsumption_resolution,[],[f13957,f1132])).
% 30.89/4.76  thf(f13965,plain,(
% 30.89/4.76    ( ! [X0 : $tType,X2 : (b > X0),X3 : (a > proces554692349s_term @ a @ b > X0),X1 : (proces634752977rocess @ a > X0),X4 : (proces554692349s_term @ a @ b > proces554692349s_term @ a @ b > X0)] : ((((X1 @ (sK41 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)))) = ((proces460752237s_term @ b @ X0 @ a @ X2 @ X1 @ X3 @ X4 @ (proces1062592052s_PROC @ a @ b @ pa))))) )),
% 30.89/4.76    inference(constrained_superposition,[],[f1111,f13960])).
% 30.89/4.76  thf(f13990,plain,(
% 30.89/4.76    ( ! [X0 : $tType,X1 : (proces634752977rocess @ a > X0)] : ((((X1 @ (sK41 @ b @ a @ (proces1062592052s_PROC @ a @ b @ pa)))) = ((X1 @ pa)))) )),
% 30.89/4.76    inference(forward_demodulation,[],[f13965,f1111])).
% 30.89/4.76  thf(f14039,plain,(
% 30.89/4.76    ($true = (((^[Y0 : proces634752977rocess @ a]: (proces10484146Action @ a @ ((^[Y1 : proces634752977rocess @ a]: (Y1)) @ Y0))) @ pa)))),
% 30.89/4.76    inference(constrained_superposition,[],[f13990,f12973])).
% 30.89/4.76  thf(f15077,plain,(
% 30.89/4.76    (((proces10484146Action @ a @ pa)) = $true)),
% 30.89/4.76    inference(beta-eta_normalization,[],[f14039])).
% 30.89/4.76  thf(f15522,plain,(
% 30.89/4.76    ($true = $false) | ~spl352_2),
% 30.89/4.76    inference(forward_demodulation,[],[f15077,f2285])).
% 30.89/4.76  thf(f15523,plain,(
% 30.89/4.76    $false | ~spl352_2),
% 30.89/4.76    inference(trivial_inequality_removal,[],[f15522])).
% 30.89/4.76  thf(f15524,plain,(
% 30.89/4.76    ~spl352_2),
% 30.89/4.76    inference(avatar_contradiction_clause,[],[f15523])).
% 30.89/4.76  cnf(s2, plain, spl352_2, inference(sat_conversion,[],[f2205])).
% 30.89/4.76  cnf(s595, plain, ~spl352_2, inference(sat_conversion,[],[f15524])).
% 30.89/4.76  cnf(s854, plain, $false, inference(rat,[],[s2,s595])).
% 30.89/4.76  thf(f16075,plain,(
% 30.89/4.76    $false),
% 30.89/4.76    inference(avatar_sat_refutation,[],[s854])).
% 30.89/4.76  % SZS output end Proof for theBenchmark
% 30.89/4.76  % (572310)------------------------------
% 30.89/4.76  % (572310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.89/4.76  % (572310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.89/4.76  % (572310)CaDiCaL version: 2.1.3
% 30.89/4.76  % (572310)Termination reason: Refutation
% 30.89/4.76  % (572310)Time elapsed: 2.649 s
% 30.89/4.76  % (572310)Peak memory usage: 28 MB
% 30.89/4.76  % (572310)Instructions burned: 3175 (million)
% 30.89/4.76  % (572237)Success in time 4.47 s
% 30.89/4.76  % Vampire exiting
%------------------------------------------------------------------------------