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

%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP203^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n008.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 08:11:06 AM UTC 2026

% Result   : Theorem 91.23s 13.16s
% Output   : Refutation 91.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP203^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.23  % Computer : n008.cluster.edu
% 0.13/0.23  % Model    : x86_64 x86_64
% 0.13/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.23  % Memory   : 8046.5625MB
% 0.13/0.23  % OS       : Linux 6.8.0-71-generic
% 0.13/0.23  % CPULimit : 300
% 0.13/0.23  % WCLimit  : 300
% 0.13/0.23  % DateTime : Tue Sep 29 20:11:55 UTC 2026
% 0.13/0.23  % CPUTime  : 
% 0.13/0.24  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.27  Running first-order model finding
% 0.13/0.27  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
% 5.36/1.10  % (3671641)Will run a generic schedule for satisfiability detection.
% 5.36/1.10  % (3671648)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=836484640:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.36/1.10  % (3671647)% WARNING: option uhcvi not known.
% 5.36/1.10  % (3671646)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=304446014_2999 on theBenchmark for (2999ds/0Mi)
% 5.36/1.10  % (3671647)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3810311285:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.36/1.10  % (3671649)dis+10_1_sil=32000:sp=arity:random_seed=3011077700:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.36/1.10  % (3671650)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3038699907:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.36/1.10  % (3671652)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2776970319:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.36/1.10  % (3671651)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1364113160:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.36/1.10  % (3671647)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.36/1.10  % (3671650)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.36/1.10  % (3671649)Instruction limit reached! 
% 5.36/1.10  % (3671649)------------------------------
% 5.36/1.10  % (3671649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.10  % (3671649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.10  % (3671649)CaDiCaL version: 2.1.3
% 5.36/1.10  % (3671649)Termination reason: Instruction limit
% 5.36/1.10  % (3671649)Termination phase: Property scanning
% 5.36/1.10  % (3671649)Time elapsed: 0.044 s
% 5.36/1.10  % (3671649)Peak memory usage: 11 MB
% 5.36/1.10  % (3671649)Instructions burned: 104 (million)
% 5.36/1.10  % (3671650)Instruction limit reached! 
% 5.36/1.10  % (3671650)------------------------------
% 5.36/1.10  % (3671650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.10  % (3671650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.10  % (3671650)CaDiCaL version: 2.1.3
% 5.36/1.10  % (3671650)Termination reason: Instruction limit
% 5.36/1.10  % (3671650)Termination phase: Function definition elimination
% 5.36/1.10  % (3671650)Time elapsed: 0.049 s
% 5.36/1.10  % (3671650)Peak memory usage: 12 MB
% 5.36/1.10  % (3671650)Instructions burned: 117 (million)
% 5.36/1.10  % (3671662)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=902008939:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.36/1.10  % Exception at run slice level
% 5.36/1.10  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.36/1.10  % (3671652)Instruction limit reached! 
% 5.36/1.10  % (3671652)------------------------------
% 5.36/1.10  % (3671652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.10  % (3671652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.10  % (3671652)CaDiCaL version: 2.1.3
% 5.36/1.10  % (3671652)Termination reason: Instruction limit
% 5.36/1.10  % (3671652)Termination phase: Property scanning
% 5.36/1.10  % (3671652)Time elapsed: 0.066 s
% 5.36/1.10  % (3671652)Peak memory usage: 12 MB
% 5.36/1.10  % (3671652)Instructions burned: 159 (million)
% 5.36/1.10  % (3671647)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.36/1.10  % (3671664)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2987460899:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.36/1.10  % (3671651)Instruction limit reached! 
% 5.36/1.10  % (3671651)------------------------------
% 5.36/1.10  % (3671651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.10  % (3671651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.10  % (3671651)CaDiCaL version: 2.1.3
% 5.36/1.10  % (3671651)Termination reason: Instruction limit
% 5.36/1.10  % (3671651)Termination phase: Property scanning
% 5.36/1.10  % (3671651)Time elapsed: 0.066 s
% 5.36/1.10  % (3671651)Peak memory usage: 12 MB
% 5.36/1.10  % (3671651)Instructions burned: 131 (million)
% 5.36/1.10  % (3671673)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=3586112042:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 20.29/3.14  % (3671675)ott-21_1_sil=16000:fs=off:random_seed=638547171:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 20.29/3.14  % (3671683)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3559587569:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 20.29/3.14  % (3671673)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.29/3.14  % (3671664)Instruction limit reached! 
% 20.29/3.14  % (3671664)------------------------------
% 20.29/3.14  % (3671664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.29/3.14  % (3671664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.14  % (3671664)CaDiCaL version: 2.1.3
% 20.29/3.14  % (3671664)Termination reason: Instruction limit
% 20.29/3.14  % (3671664)Termination phase: Property scanning
% 20.29/3.14  % (3671664)Time elapsed: 0.055 s
% 20.29/3.14  % (3671664)Peak memory usage: 12 MB
% 20.29/3.14  % (3671664)Instructions burned: 131 (million)
% 20.29/3.14  % Exception at run slice level
% 20.29/3.14  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.29/3.14  % (3671707)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3114063736:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 20.29/3.14  % (3671710)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2510579288:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 20.29/3.14  % (3671673)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.29/3.14  % (3671675)Instruction limit reached! 
% 20.29/3.14  % (3671675)------------------------------
% 20.29/3.14  % (3671675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.29/3.14  % (3671675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.14  % (3671675)CaDiCaL version: 2.1.3
% 20.29/3.14  % (3671675)Termination reason: Instruction limit
% 20.29/3.14  % (3671675)Termination phase: Saturation
% 20.29/3.14  % (3671675)Time elapsed: 0.076 s
% 20.29/3.14  % (3671675)Peak memory usage: 13 MB
% 20.29/3.14  % (3671675)Instructions burned: 181 (million)
% 20.29/3.14  % (3671725)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=476436937:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 20.29/3.14  % Exception at run slice level
% 20.29/3.14  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.29/3.14  % (3671748)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=38958121:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 20.29/3.14  % Exception at run slice level
% 20.29/3.14  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.29/3.14  % (3671748)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.29/3.14  % (3671764)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=522054512:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 20.29/3.14  % (3671764)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.29/3.14  % (3671683)Instruction limit reached! 
% 20.29/3.14  % (3671683)------------------------------
% 20.29/3.14  % (3671683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.29/3.14  % (3671683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.14  % (3671683)CaDiCaL version: 2.1.3
% 20.29/3.14  % (3671683)Termination reason: Instruction limit
% 20.29/3.14  % (3671683)Termination phase: Saturation
% 20.29/3.14  % (3671683)Time elapsed: 0.238 s
% 20.29/3.14  % (3671683)Peak memory usage: 14 MB
% 20.29/3.14  % (3671683)Instructions burned: 477 (million)
% 20.29/3.14  % (3671785)fmb+10_1_sil=64000:random_seed=920025874:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 20.29/3.14  % (3671785)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.29/3.14  % Exception at run slice level
% 20.29/3.14  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.29/3.14  % (3671787)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2136941022:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 20.29/3.14  % (3671673)Instruction limit reached! 
% 20.29/3.14  % (3671673)------------------------------
% 48.49/7.72  % (3671673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.49/7.72  % (3671673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.49/7.72  % (3671673)CaDiCaL version: 2.1.3
% 48.49/7.72  % (3671673)Termination reason: Instruction limit
% 48.49/7.72  % (3671673)Termination phase: Saturation
% 48.49/7.72  % (3671673)Time elapsed: 0.356 s
% 48.49/7.72  % (3671673)Peak memory usage: 17 MB
% 48.49/7.72  % (3671673)Instructions burned: 686 (million)
% 48.49/7.72  % (3671796)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3233063029:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 48.49/7.72  % Exception at run slice level
% 48.49/7.72  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.49/7.72  % (3671832)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3371556722:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 48.49/7.72  % Exception at run slice level
% 48.49/7.72  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.49/7.72  % (3671840)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4051257864:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 48.49/7.72  % (3671832)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 48.49/7.72  % (3671748)Instruction limit reached! 
% 48.49/7.72  % (3671748)------------------------------
% 48.49/7.72  % (3671748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.49/7.72  % (3671748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.49/7.72  % (3671748)CaDiCaL version: 2.1.3
% 48.49/7.72  % (3671748)Termination reason: Instruction limit
% 48.49/7.72  % (3671748)Termination phase: Saturation
% 48.49/7.72  % (3671748)Time elapsed: 0.354 s
% 48.49/7.72  % (3671748)Peak memory usage: 20 MB
% 48.49/7.72  % (3671748)Instructions burned: 692 (million)
% 48.49/7.72  % (3671840)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 48.49/7.72  % (3671842)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=161872:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 48.49/7.72  % (3671840)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 48.49/7.72  % Exception at run slice level
% 48.49/7.72  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.49/7.72  % (3671844)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2038384923:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 48.49/7.72  % (3671764)Instruction limit reached! 
% 48.49/7.72  % (3671764)------------------------------
% 48.49/7.72  % (3671764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.49/7.72  % (3671764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.49/7.72  % (3671764)CaDiCaL version: 2.1.3
% 48.49/7.72  % (3671764)Termination reason: Instruction limit
% 48.49/7.72  % (3671764)Termination phase: Saturation
% 48.49/7.72  % (3671764)Time elapsed: 0.437 s
% 48.49/7.72  % (3671764)Peak memory usage: 19 MB
% 48.49/7.72  % (3671764)Instructions burned: 881 (million)
% 48.49/7.72  % (3671846)ott-2_1_sil=16000:newcnf=on:random_seed=2821263764:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 48.49/7.72  % (3671710)Instruction limit reached! 
% 48.49/7.72  % (3671710)------------------------------
% 48.49/7.72  % (3671710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.49/7.72  % (3671710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.49/7.72  % (3671710)CaDiCaL version: 2.1.3
% 48.49/7.72  % (3671710)Termination reason: Instruction limit
% 48.49/7.72  % (3671710)Termination phase: Saturation
% 48.49/7.72  % (3671710)Time elapsed: 0.588 s
% 48.49/7.72  % (3671710)Peak memory usage: 23 MB
% 48.49/7.72  % (3671710)Instructions burned: 1179 (million)
% 48.49/7.72  % (3671848)ott+10_1_sil=32000:tgt=ground:random_seed=2327080589:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 48.49/7.72  % (3671846)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 48.49/7.72  % Exception at run slice level
% 48.49/7.72  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.49/7.72  % (3671850)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=375018604:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 91.23/13.16  % Exception at run slice level
% 91.23/13.16  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 91.23/13.16  % (3671852)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=565391806:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 91.23/13.16  % (3671852)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 91.23/13.16  % (3671846)Instruction limit reached! 
% 91.23/13.16  % (3671846)------------------------------
% 91.23/13.16  % (3671846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671846)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671846)Termination reason: Instruction limit
% 91.23/13.16  % (3671846)Termination phase: Saturation
% 91.23/13.16  % (3671846)Time elapsed: 0.410 s
% 91.23/13.16  % (3671846)Peak memory usage: 18 MB
% 91.23/13.16  % (3671846)Instructions burned: 869 (million)
% 91.23/13.16  % (3671854)dis+21_1_sil=32000:sas=cadical:random_seed=1443487223:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 91.23/13.16  % (3671840)Instruction limit reached! 
% 91.23/13.16  % (3671840)------------------------------
% 91.23/13.16  % (3671840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671840)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671840)Termination reason: Instruction limit
% 91.23/13.16  % (3671840)Termination phase: Saturation
% 91.23/13.16  % (3671840)Time elapsed: 0.737 s
% 91.23/13.16  % (3671840)Peak memory usage: 21 MB
% 91.23/13.16  % (3671840)Instructions burned: 1474 (million)
% 91.23/13.16  % (3671856)ott+11_1_sil=16000:gs=on:random_seed=3910080029:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2986 on theBenchmark for (2986ds/2251Mi)
% 91.23/13.16  % (3671856)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 91.23/13.16  % (3671856)Instruction limit reached! 
% 91.23/13.16  % (3671856)------------------------------
% 91.23/13.16  % (3671856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671856)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671856)Termination reason: Instruction limit
% 91.23/13.16  % (3671856)Termination phase: Saturation
% 91.23/13.16  % (3671856)Time elapsed: 1.084 s
% 91.23/13.16  % (3671856)Peak memory usage: 24 MB
% 91.23/13.16  % (3671856)Instructions burned: 2252 (million)
% 91.23/13.16  % (3671858)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3186860663:fmbsr=1.6:i=67534_2975 on theBenchmark for (2975ds/67534Mi)
% 91.23/13.16  % Exception at run slice level
% 91.23/13.16  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 91.23/13.16  % (3671860)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2733895097:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2974 on theBenchmark for (2974ds/4591Mi)
% 91.23/13.16  % (3671852)Instruction limit reached! 
% 91.23/13.16  % (3671852)------------------------------
% 91.23/13.16  % (3671852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671852)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671852)Termination reason: Instruction limit
% 91.23/13.16  % (3671852)Termination phase: Saturation
% 91.23/13.16  % (3671852)Time elapsed: 1.663 s
% 91.23/13.16  % (3671852)Peak memory usage: 34 MB
% 91.23/13.16  % (3671852)Instructions burned: 3512 (million)
% 91.23/13.16  % (3671862)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2089278017:i=29340_2974 on theBenchmark for (2974ds/29340Mi)
% 91.23/13.16  % (3671854)Instruction limit reached! 
% 91.23/13.16  % (3671854)------------------------------
% 91.23/13.16  % (3671854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671854)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671854)Termination reason: Instruction limit
% 91.23/13.16  % (3671854)Termination phase: Saturation
% 91.23/13.16  % (3671854)Time elapsed: 1.637 s
% 91.23/13.16  % (3671854)Peak memory usage: 28 MB
% 91.23/13.16  % (3671854)Instructions burned: 3775 (million)
% 91.23/13.16  % (3671864)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=345831157:i=5211_2971 on theBenchmark for (2971ds/5211Mi)
% 91.23/13.16  % (3671832)Instruction limit reached! 
% 91.23/13.16  % (3671832)------------------------------
% 91.23/13.16  % (3671832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671832)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671832)Termination reason: Instruction limit
% 91.23/13.16  % (3671832)Termination phase: Saturation
% 91.23/13.16  % (3671832)Time elapsed: 2.447 s
% 91.23/13.16  % (3671832)Peak memory usage: 39 MB
% 91.23/13.16  % (3671832)Instructions burned: 5132 (million)
% 91.23/13.16  % (3671866)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2268596361:i=5497:nm=2_2969 on theBenchmark for (2969ds/5497Mi)
% 91.23/13.16  % Exception at run slice level
% 91.23/13.16  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 91.23/13.16  % (3671868)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3555115764:fmbsr=2:i=46332_2968 on theBenchmark for (2968ds/46332Mi)
% 91.23/13.16  % Exception at run slice level
% 91.23/13.16  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 91.23/13.16  % (3671870)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3334009899:i=14071_2968 on theBenchmark for (2968ds/14071Mi)
% 91.23/13.16  % Exception at run slice level
% 91.23/13.16  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 91.23/13.16  % (3671848)Instruction limit reached! 
% 91.23/13.16  % (3671848)------------------------------
% 91.23/13.16  % (3671848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671848)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671848)Termination reason: Instruction limit
% 91.23/13.16  % (3671848)Termination phase: Saturation
% 91.23/13.16  % (3671848)Time elapsed: 2.489 s
% 91.23/13.16  % (3671848)Peak memory usage: 50 MB
% 91.23/13.16  % (3671848)Instructions burned: 5116 (million)
% 91.23/13.16  % (3671872)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4171748433:i=22565:add=on:rawr=on_2967 on theBenchmark for (2967ds/22565Mi)
% 91.23/13.16  % (3671874)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3961859125:i=8173:av=off_2967 on theBenchmark for (2967ds/8173Mi)
% 91.23/13.16  % (3671860)Instruction limit reached! 
% 91.23/13.16  % (3671860)------------------------------
% 91.23/13.16  % (3671860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671860)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671860)Termination reason: Instruction limit
% 91.23/13.16  % (3671860)Termination phase: Saturation
% 91.23/13.16  % (3671860)Time elapsed: 2.169 s
% 91.23/13.16  % (3671860)Peak memory usage: 37 MB
% 91.23/13.16  % (3671860)Instructions burned: 4591 (million)
% 91.23/13.16  % (3671876)dis+10_16:1_sil=16000:random_seed=3403659169:i=9155:fsr=off_2952 on theBenchmark for (2952ds/9155Mi)
% 91.23/13.16  % (3671864)Instruction limit reached! 
% 91.23/13.16  % (3671864)------------------------------
% 91.23/13.16  % (3671864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671864)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671864)Termination reason: Instruction limit
% 91.23/13.16  % (3671864)Termination phase: Saturation
% 91.23/13.16  % (3671864)Time elapsed: 2.470 s
% 91.23/13.16  % (3671864)Peak memory usage: 48 MB
% 91.23/13.16  % (3671864)Instructions burned: 5213 (million)
% 91.23/13.16  % (3671878)ott-3_8_sil=64000:random_seed=3271093318:i=20139:bs=on_2946 on theBenchmark for (2946ds/20139Mi)
% 91.23/13.16  % (3671874)Instruction limit reached! 
% 91.23/13.16  % (3671874)------------------------------
% 91.23/13.16  % (3671874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671874)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671874)Termination reason: Instruction limit
% 91.23/13.16  % (3671874)Termination phase: Saturation
% 91.23/13.16  % (3671874)Time elapsed: 4.105 s
% 91.23/13.16  % (3671874)Peak memory usage: 76 MB
% 91.23/13.16  % (3671874)Instructions burned: 8173 (million)
% 91.23/13.16  % (3671880)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3833589174:fmbsr=2:i=32576_2925 on theBenchmark for (2925ds/32576Mi)
% 91.23/13.16  % Exception at run slice level
% 91.23/13.16  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 91.23/13.16  % (3671882)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1695503244:i=11404_2924 on theBenchmark for (2924ds/11404Mi)
% 91.23/13.16  % (3671876)Instruction limit reached! 
% 91.23/13.16  % (3671876)------------------------------
% 91.23/13.16  % (3671876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671876)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671876)Termination reason: Instruction limit
% 91.23/13.16  % (3671876)Termination phase: Saturation
% 91.23/13.16  % (3671876)Time elapsed: 4.184 s
% 91.23/13.16  % (3671876)Peak memory usage: 45 MB
% 91.23/13.16  % (3671876)Instructions burned: 9156 (million)
% 91.23/13.16  % (3671884)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=1342907159:i=14134_2910 on theBenchmark for (2910ds/14134Mi)
% 91.23/13.16  % (3671884)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 91.23/13.16  % (3671872)Instruction limit reached! 
% 91.23/13.16  % (3671872)------------------------------
% 91.23/13.16  % (3671872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671872)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671872)Termination reason: Instruction limit
% 91.23/13.16  % (3671872)Termination phase: Saturation
% 91.23/13.16  % (3671872)Time elapsed: 6.273 s
% 91.23/13.16  % (3671872)Peak memory usage: 18 MB
% 91.23/13.16  % (3671872)Instructions burned: 22569 (million)
% 91.23/13.16  % (3671886)dis+33_16_sil=32000:sac=on:random_seed=2595332469:i=15851:nm=0_2904 on theBenchmark for (2904ds/15851Mi)
% 91.23/13.16  % (3671648)Instruction limit reached! 
% 91.23/13.16  % (3671648)------------------------------
% 91.23/13.16  % (3671648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.16  % (3671648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.16  % (3671648)CaDiCaL version: 2.1.3
% 91.23/13.16  % (3671648)Termination reason: Instruction limit
% 91.23/13.16  % (3671648)Termination phase: Saturation
% 91.23/13.16  % (3671648)Time elapsed: 12.812 s
% 91.23/13.16  % (3671648)Peak memory usage: 20 MB
% 91.23/13.16  % (3671648)Instructions burned: 88027 (million)
% 91.23/13.16  % (3671884) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3671641-3671884"...
% 91.23/13.16  % (3671888)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=2338646168:avsq=on:i=17627:add=on:amm=off_2871 on theBenchmark for (2871ds/17627Mi)
% 91.23/13.16  % (3671884)...printing done.
% 91.23/13.16  % (3671884)Refutation found. Thanks to Tanya!
% 91.23/13.16  % SZS status Theorem for theBenchmark
% 91.23/13.16  % SZS output start Proof for theBenchmark
% 91.23/13.16  thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 91.23/13.16  thf(type_def_6, type, variable: $tType).
% 91.23/13.16  thf(type_def_7, type, option: $tType > $tType).
% 91.23/13.16  thf(type_def_8, type, game: $tType).
% 91.23/13.16  thf(type_def_9, type, char: $tType).
% 91.23/13.16  thf(type_def_10, type, trm: $tType).
% 91.23/13.16  thf(type_def_11, type, fml: $tType).
% 91.23/13.16  thf(type_def_12, type, real: $tType).
% 91.23/13.16  thf(type_def_13, type, set: $tType > $tType).
% 91.23/13.16  thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 91.23/13.16  thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 91.23/13.16  thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 91.23/13.16  thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 91.23/13.16  thf(func_def_3, type, lattice: !>[X0: $tType]:($o)).
% 91.23/13.16  thf(func_def_4, type, semilattice_inf: !>[X0: $tType]:($o)).
% 91.23/13.16  thf(func_def_5, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 91.23/13.16  thf(func_def_6, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 91.23/13.16  thf(func_def_7, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 91.23/13.16  thf(func_def_8, type, none: !>[X0: $tType]:(option @ X0)).
% 91.23/13.16  thf(func_def_9, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 91.23/13.16  thf(func_def_10, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 91.23/13.16  thf(func_def_11, type, the: !>[X0: $tType]:((option @ X0 > X0))).
% 91.23/13.16  thf(func_def_12, type, bot_bot: !>[X0: $tType]:(X0)).
% 91.23/13.16  thf(func_def_13, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 91.23/13.16  thf(func_def_14, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 91.23/13.16  thf(func_def_15, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 91.23/13.16  thf(func_def_16, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 91.23/13.16  thf(func_def_17, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 91.23/13.16  thf(func_def_18, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 91.23/13.16  thf(func_def_19, type, static_FVF: (fml > set @ variable)).
% 91.23/13.16  thf(func_def_20, type, static_FVT: (trm > set @ variable)).
% 91.23/13.16  thf(func_def_21, type, char2: ($o > $o > $o > $o > $o > $o > $o > $o > char)).
% 91.23/13.16  thf(func_def_22, type, geq: (trm > trm > fml)).
% 91.23/13.16  thf(func_def_23, type, pred: (char > trm > fml)).
% 91.23/13.16  thf(func_def_24, type, const: (char > trm)).
% 91.23/13.16  thf(func_def_25, type, differential: (trm > trm)).
% 91.23/13.16  thf(func_def_26, type, func: (char > trm > trm)).
% 91.23/13.16  thf(func_def_27, type, number: (real > trm)).
% 91.23/13.16  thf(func_def_28, type, plus: (trm > trm > trm)).
% 91.23/13.16  thf(func_def_29, type, times: (trm > trm > trm)).
% 91.23/13.16  thf(func_def_30, type, var: (variable > trm)).
% 91.23/13.16  thf(func_def_31, type, uSubst259074819ntialo: (option @ trm > option @ trm)).
% 91.23/13.16  thf(func_def_32, type, uSubst1556497037e_Geqo: (option @ trm > option @ trm > option @ fml)).
% 91.23/13.16  thf(func_def_33, type, uSubst1112714340_Pluso: (option @ trm > option @ trm > option @ trm)).
% 91.23/13.16  thf(func_def_34, type, uSubst190403692_Testo: (option @ fml > option @ game)).
% 91.23/13.16  thf(func_def_35, type, uSubst277968634Timeso: (option @ trm > option @ trm > option @ trm)).
% 91.23/13.16  thf(func_def_36, type, uSubst_Mirabelle_dot: trm).
% 91.23/13.16  thf(func_def_37, type, uSubst969145931substt: (trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.16  thf(func_def_38, type, uSubst1138577137pconst: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > char > option @ trm)).
% 91.23/13.16  thf(func_def_39, type, uSubst95898978stappf: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > fml > option @ fml)).
% 91.23/13.16  thf(func_def_40, type, uSubst95898992stappt: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > option @ trm)).
% 91.23/13.16  thf(func_def_41, type, uSubst2096773001pt_rel: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > $o)).
% 91.23/13.16  thf(func_def_42, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 91.23/13.16  thf(func_def_43, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 91.23/13.16  thf(func_def_44, type, ua: set @ variable).
% 91.23/13.16  thf(func_def_45, type, va: set @ variable).
% 91.23/13.16  thf(func_def_46, type, sigma: product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game)).
% 91.23/13.16  thf(func_def_47, type, theta: trm).
% 91.23/13.16  thf(func_def_48, type, p: char).
% 91.23/13.16  thf(func_def_50, type, db4: !>[X0: $tType]:(X0)).
% 91.23/13.16  thf(func_def_51, type, db1: !>[X0: $tType]:(X0)).
% 91.23/13.16  thf(func_def_52, type, db0: !>[X0: $tType]:(X0)).
% 91.23/13.16  thf(func_def_53, type, db2: !>[X0: $tType]:(X0)).
% 91.23/13.16  thf(func_def_54, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 91.23/13.16  thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 91.23/13.16  thf(func_def_58, type, vNOT: ($o > $o)).
% 91.23/13.16  thf(func_def_59, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 91.23/13.16  thf(func_def_60, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 91.23/13.16  thf(func_def_61, type, vOR: ($o > $o > $o)).
% 91.23/13.16  thf(func_def_62, type, vAND: ($o > $o > $o)).
% 91.23/13.16  thf(func_def_63, type, vIMP: ($o > $o > $o)).
% 91.23/13.16  thf(func_def_64, type, db3: !>[X0: $tType]:(X0)).
% 91.23/13.16  thf(func_def_65, type, sP0: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > $o))).
% 91.23/13.16  thf(func_def_66, type, sP1: (option @ trm > option @ trm > option @ fml > $o)).
% 91.23/13.16  thf(func_def_67, type, sP2: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > $o)).
% 91.23/13.16  thf(func_def_68, type, sP3: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > $o)).
% 91.23/13.16  thf(func_def_69, type, sP4: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > $o)).
% 91.23/13.16  thf(func_def_70, type, sP5: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > $o)).
% 91.23/13.16  thf(func_def_71, type, sP6: ((trm > $o) > $o)).
% 91.23/13.16  thf(func_def_72, type, sP7: ((trm > $o) > $o)).
% 91.23/13.16  thf(func_def_73, type, sP8: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > $o)).
% 91.23/13.16  thf(func_def_74, type, sP9: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > $o)).
% 91.23/13.16  thf(func_def_75, type, sP10: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > $o)).
% 91.23/13.16  thf(func_def_76, type, sP11: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > $o)).
% 91.23/13.16  thf(func_def_77, type, sP12: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > $o)).
% 91.23/13.17  thf(func_def_78, type, sP13: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > $o)).
% 91.23/13.17  thf(func_def_79, type, sP14: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > $o)).
% 91.23/13.17  thf(func_def_80, type, sP15: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > $o)).
% 91.23/13.17  thf(func_def_81, type, sK16: ((option @ fml > option @ fml > $o) > fml)).
% 91.23/13.17  thf(func_def_82, type, sK17: ((option @ fml > option @ fml > $o) > option @ fml)).
% 91.23/13.17  thf(func_def_83, type, sK18: ((option @ fml > option @ fml > $o) > fml)).
% 91.23/13.17  thf(func_def_84, type, sK19: ((option @ fml > option @ fml > $o) > fml)).
% 91.23/13.17  thf(func_def_85, type, sK20: (option @ fml > fml)).
% 91.23/13.17  thf(func_def_86, type, sK21: ((option @ fml > $o) > fml)).
% 91.23/13.17  thf(func_def_87, type, sK22: ((variable > option @ fml > $o) > variable)).
% 91.23/13.17  thf(func_def_88, type, sK23: ((variable > option @ fml > $o) > variable)).
% 91.23/13.17  thf(func_def_89, type, sK24: ((variable > option @ fml > $o) > fml)).
% 91.23/13.17  thf(func_def_90, type, sK25: ((option @ game > option @ fml > $o) > game)).
% 91.23/13.17  thf(func_def_91, type, sK26: ((option @ game > option @ fml > $o) > option @ fml)).
% 91.23/13.17  thf(func_def_92, type, sK27: ((option @ game > option @ fml > $o) > game)).
% 91.23/13.17  thf(func_def_93, type, sK28: ((option @ game > option @ fml > $o) > fml)).
% 91.23/13.17  thf(func_def_94, type, sK29: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 91.23/13.17  thf(func_def_95, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 91.23/13.17  thf(func_def_96, type, sK31: !>[X0: $tType]:((option @ X0 > (X0 > $o) > X0))).
% 91.23/13.17  thf(func_def_97, type, sK32: !>[X0: $tType]:((option @ X0 > X0))).
% 91.23/13.17  thf(func_def_98, type, sK33: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 91.23/13.17  thf(func_def_99, type, sK34: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X1))).
% 91.23/13.17  thf(func_def_100, type, sK35: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X0))).
% 91.23/13.17  thf(func_def_101, type, sK36: (char > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > fml)).
% 91.23/13.17  thf(func_def_102, type, sK37: (option @ game > game)).
% 91.23/13.17  thf(func_def_103, type, sK38: ((char > option @ trm > $o) > char)).
% 91.23/13.17  thf(func_def_104, type, sK39: ((char > option @ trm > $o) > char)).
% 91.23/13.17  thf(func_def_105, type, sK40: ((char > option @ trm > $o) > trm)).
% 91.23/13.17  thf(func_def_106, type, sK41: ((option @ game > $o) > game)).
% 91.23/13.17  thf(func_def_107, type, sK42: ((option @ trm > option @ trm > $o) > trm)).
% 91.23/13.17  thf(func_def_108, type, sK43: ((option @ trm > option @ trm > $o) > option @ trm)).
% 91.23/13.17  thf(func_def_109, type, sK44: ((option @ trm > option @ trm > $o) > trm)).
% 91.23/13.17  thf(func_def_110, type, sK45: ((option @ trm > option @ trm > $o) > trm)).
% 91.23/13.17  thf(func_def_111, type, sK46: ((variable > option @ trm > $o) > variable)).
% 91.23/13.17  thf(func_def_112, type, sK47: ((variable > option @ trm > $o) > variable)).
% 91.23/13.17  thf(func_def_113, type, sK48: ((variable > option @ trm > $o) > trm)).
% 91.23/13.17  thf(func_def_114, type, sK49: ((option @ game > option @ game > $o) > game)).
% 91.23/13.17  thf(func_def_115, type, sK50: ((option @ game > option @ game > $o) > option @ game)).
% 91.23/13.17  thf(func_def_116, type, sK51: ((option @ game > option @ game > $o) > game)).
% 91.23/13.17  thf(func_def_117, type, sK52: ((option @ game > option @ game > $o) > game)).
% 91.23/13.17  thf(func_def_118, type, sK53: (option @ trm > trm)).
% 91.23/13.17  thf(func_def_119, type, sK54: ((option @ trm > $o) > trm)).
% 91.23/13.17  thf(func_def_120, type, sK55: !>[X0: $tType]:((set @ X0 > X0))).
% 91.23/13.17  thf(func_def_121, type, sK56: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 91.23/13.17  thf(func_def_122, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > $o) > (X1 > $o) > X1))).
% 91.23/13.17  thf(func_def_123, type, sK58: (option @ trm > option @ trm > option @ fml > trm)).
% 91.23/13.17  thf(func_def_124, type, sK59: (option @ trm > option @ trm > option @ fml > trm)).
% 91.23/13.17  thf(func_def_125, type, sK60: (option @ trm > trm)).
% 91.23/13.17  thf(func_def_126, type, sK61: (product_prod @ option @ game @ option @ fml > game)).
% 91.23/13.17  thf(func_def_127, type, sK62: (product_prod @ option @ game @ option @ fml > option @ fml)).
% 91.23/13.17  thf(func_def_128, type, sK63: (product_prod @ option @ game @ option @ fml > game)).
% 91.23/13.17  thf(func_def_129, type, sK64: (product_prod @ option @ game @ option @ fml > fml)).
% 91.23/13.17  thf(func_def_130, type, sK65: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0 > X1))).
% 91.23/13.17  thf(func_def_131, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0 > X0))).
% 91.23/13.17  thf(func_def_132, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X0 > X1 > X2 > $o) > product_prod @ X0 @ X1 > X0))).
% 91.23/13.17  thf(func_def_133, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X0 > X1 > X2 > $o) > product_prod @ X0 @ X1 > X1))).
% 91.23/13.17  thf(func_def_134, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > X0 > product_prod @ X2 @ X1 > X2))).
% 91.23/13.17  thf(func_def_135, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > X0 > product_prod @ X2 @ X1 > X1))).
% 91.23/13.17  thf(func_def_136, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X1 > X0) > (X2 > X1 > X0) > X2))).
% 91.23/13.17  thf(func_def_137, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X1 > X0) > (X2 > X1 > X0) > X1))).
% 91.23/13.17  thf(func_def_138, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > X1) > (X1 > $o) > X0))).
% 91.23/13.17  thf(func_def_139, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > X1) > (X1 > $o) > X2))).
% 91.23/13.17  thf(func_def_140, type, sK75: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 91.23/13.17  thf(func_def_141, type, sK76: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 91.23/13.17  thf(func_def_142, type, sK77: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 91.23/13.17  thf(func_def_143, type, sK78: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 91.23/13.17  thf(func_def_144, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 91.23/13.17  thf(func_def_145, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 91.23/13.17  thf(func_def_146, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 91.23/13.17  thf(func_def_147, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 91.23/13.17  thf(func_def_148, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 91.23/13.17  thf(func_def_149, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 91.23/13.17  thf(func_def_150, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 91.23/13.17  thf(func_def_151, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 91.23/13.17  thf(func_def_152, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 91.23/13.17  thf(func_def_153, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 91.23/13.17  thf(func_def_154, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 91.23/13.17  thf(func_def_155, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 91.23/13.17  thf(func_def_156, type, sK91: !>[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))).
% 91.23/13.17  thf(func_def_157, type, sK92: !>[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))).
% 91.23/13.17  thf(func_def_158, type, sK93: !>[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))).
% 91.23/13.17  thf(func_def_159, type, sK94: !>[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))).
% 91.23/13.17  thf(func_def_160, type, sK95: !>[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))).
% 91.23/13.17  thf(func_def_161, type, sK96: !>[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))).
% 91.23/13.17  thf(func_def_162, type, sK97: !>[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))).
% 91.23/13.17  thf(func_def_163, type, sK98: !>[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))).
% 91.23/13.17  thf(func_def_164, type, sK99: !>[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))).
% 91.23/13.17  thf(func_def_165, type, sK100: !>[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))).
% 91.23/13.17  thf(func_def_166, type, sK101: !>[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))).
% 91.23/13.17  thf(func_def_167, type, sK102: !>[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))).
% 91.23/13.17  thf(func_def_168, type, sK103: !>[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))).
% 91.23/13.17  thf(func_def_169, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 91.23/13.17  thf(func_def_170, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 91.23/13.17  thf(func_def_171, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 91.23/13.17  thf(func_def_172, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 91.23/13.17  thf(func_def_173, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 91.23/13.17  thf(func_def_174, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 91.23/13.17  thf(func_def_175, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 91.23/13.17  thf(func_def_176, type, sK111: !>[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))).
% 91.23/13.17  thf(func_def_177, type, sK112: !>[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))).
% 91.23/13.17  thf(func_def_178, type, sK113: !>[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))).
% 91.23/13.17  thf(func_def_179, type, sK114: !>[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))).
% 91.23/13.17  thf(func_def_180, type, sK115: !>[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))).
% 91.23/13.17  thf(func_def_181, type, sK116: !>[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))).
% 91.23/13.17  thf(func_def_182, type, sK117: !>[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))).
% 91.23/13.17  thf(func_def_183, type, sK118: !>[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))).
% 91.23/13.17  thf(func_def_184, type, sK119: !>[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))).
% 91.23/13.17  thf(func_def_185, type, sK120: !>[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))).
% 91.23/13.17  thf(func_def_186, type, sK121: !>[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))).
% 91.23/13.17  thf(func_def_187, type, sK122: !>[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))).
% 91.23/13.17  thf(func_def_188, type, sK123: !>[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))).
% 91.23/13.17  thf(func_def_189, type, sK124: !>[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))).
% 91.23/13.17  thf(func_def_190, type, sK125: !>[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))).
% 91.23/13.17  thf(func_def_191, type, sK126: !>[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))).
% 91.23/13.17  thf(func_def_192, type, sK127: !>[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))).
% 91.23/13.17  thf(func_def_193, type, sK128: !>[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))).
% 91.23/13.17  thf(func_def_194, type, sK129: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X1 > X0))).
% 91.23/13.17  thf(func_def_195, type, sK130: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X1 > X2))).
% 91.23/13.17  thf(func_def_196, type, sK131: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 91.23/13.17  thf(func_def_197, type, sK132: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 91.23/13.17  thf(func_def_198, type, sK133: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 91.23/13.17  thf(func_def_199, type, sK134: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 91.23/13.17  thf(func_def_200, type, sK135: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0))).
% 91.23/13.17  thf(func_def_201, type, sK136: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X1))).
% 91.23/13.17  thf(func_def_202, type, sK137: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X1 @ X0 > (X1 > X0 > X2 > $o) > X1))).
% 91.23/13.17  thf(func_def_203, type, sK138: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X1 @ X0 > (X1 > X0 > X2 > $o) > X0))).
% 91.23/13.17  thf(func_def_204, type, sK139: (char > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 91.23/13.17  thf(func_def_205, type, sK140: (char > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 91.23/13.17  thf(func_def_206, type, sK141: (product_prod @ char @ option @ trm > char)).
% 91.23/13.17  thf(func_def_207, type, sK142: (product_prod @ char @ option @ trm > char)).
% 91.23/13.17  thf(func_def_208, type, sK143: (product_prod @ char @ option @ trm > trm)).
% 91.23/13.17  thf(func_def_209, type, sK144: (product_prod @ variable @ option @ trm > variable)).
% 91.23/13.17  thf(func_def_210, type, sK145: (product_prod @ variable @ option @ trm > variable)).
% 91.23/13.17  thf(func_def_211, type, sK146: (product_prod @ variable @ option @ trm > trm)).
% 91.23/13.17  thf(func_def_212, type, sK147: (product_prod @ option @ trm @ option @ trm > trm)).
% 91.23/13.17  thf(func_def_213, type, sK148: (product_prod @ option @ trm @ option @ trm > option @ trm)).
% 91.23/13.17  thf(func_def_214, type, sK149: (product_prod @ option @ trm @ option @ trm > trm)).
% 91.23/13.17  thf(func_def_215, type, sK150: (product_prod @ option @ trm @ option @ trm > trm)).
% 91.23/13.17  thf(func_def_216, type, sK151: (product_prod @ variable @ option @ fml > variable)).
% 91.23/13.17  thf(func_def_217, type, sK152: (product_prod @ variable @ option @ fml > variable)).
% 91.23/13.17  thf(func_def_218, type, sK153: (product_prod @ variable @ option @ fml > fml)).
% 91.23/13.17  thf(func_def_219, type, sK154: (product_prod @ option @ fml @ option @ fml > fml)).
% 91.23/13.17  thf(func_def_220, type, sK155: (product_prod @ option @ fml @ option @ fml > option @ fml)).
% 91.23/13.17  thf(func_def_221, type, sK156: (product_prod @ option @ fml @ option @ fml > fml)).
% 91.23/13.17  thf(func_def_222, type, sK157: (product_prod @ option @ fml @ option @ fml > fml)).
% 91.23/13.17  thf(func_def_223, type, sK158: (product_prod @ option @ game @ option @ game > game)).
% 91.23/13.17  thf(func_def_224, type, sK159: (product_prod @ option @ game @ option @ game > option @ game)).
% 91.23/13.17  thf(func_def_225, type, sK160: (product_prod @ option @ game @ option @ game > game)).
% 91.23/13.17  thf(func_def_226, type, sK161: (product_prod @ option @ game @ option @ game > game)).
% 91.23/13.17  thf(func_def_227, type, sK162: (char > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 91.23/13.17  thf(func_def_228, type, sK163: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_229, type, sK164: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_230, type, sK165: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 91.23/13.17  thf(func_def_231, type, sK166: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_232, type, sK167: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_233, type, sK168: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 91.23/13.17  thf(func_def_234, type, sK169: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 91.23/13.17  thf(func_def_235, type, sK170: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_236, type, sK171: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_237, type, sK172: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 91.23/13.17  thf(func_def_238, type, sK173: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 91.23/13.17  thf(func_def_239, type, sK174: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_240, type, sK175: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_241, type, sK176: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > char)).
% 91.23/13.17  thf(func_def_242, type, sK177: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 91.23/13.17  thf(func_def_243, type, sK178: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_244, type, sK179: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_245, type, sK180: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > char)).
% 91.23/13.17  thf(func_def_246, type, sK181: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_247, type, sK182: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_248, type, sK183: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > real)).
% 91.23/13.17  thf(func_def_249, type, sK184: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_250, type, sK185: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_251, type, sK186: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > variable)).
% 91.23/13.17  thf(func_def_252, type, sK187: (trm > trm)).
% 91.23/13.17  thf(func_def_253, type, sK188: (trm > trm)).
% 91.23/13.17  thf(func_def_254, type, sK189: (trm > trm)).
% 91.23/13.17  thf(func_def_255, type, sK190: (trm > trm)).
% 91.23/13.17  thf(func_def_256, type, sK191: (trm > trm)).
% 91.23/13.17  thf(func_def_257, type, sK192: (trm > char)).
% 91.23/13.17  thf(func_def_258, type, sK193: (trm > trm)).
% 91.23/13.17  thf(func_def_259, type, sK194: (trm > char)).
% 91.23/13.17  thf(func_def_260, type, sK195: (trm > real)).
% 91.23/13.17  thf(func_def_261, type, sK196: (trm > variable)).
% 91.23/13.17  thf(func_def_262, type, sK197: ((trm > $o) > trm)).
% 91.23/13.17  thf(func_def_263, type, sK198: ((trm > $o) > trm)).
% 91.23/13.17  thf(func_def_264, type, sK199: ((trm > $o) > trm)).
% 91.23/13.17  thf(func_def_265, type, sK200: ((trm > $o) > trm)).
% 91.23/13.17  thf(func_def_266, type, sK201: ((trm > $o) > trm)).
% 91.23/13.17  thf(func_def_267, type, sK202: ((trm > $o) > char)).
% 91.23/13.17  thf(func_def_268, type, sK203: ((trm > $o) > trm)).
% 91.23/13.17  thf(func_def_269, type, sK204: ((trm > $o) > char)).
% 91.23/13.17  thf(func_def_270, type, sK205: ((trm > $o) > real)).
% 91.23/13.17  thf(func_def_271, type, sK206: ((trm > $o) > variable)).
% 91.23/13.17  thf(func_def_272, type, sK207: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_273, type, sK208: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 91.23/13.17  thf(func_def_274, type, sK209: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > trm)).
% 91.23/13.17  thf(func_def_275, type, sK210: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_276, type, sK211: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 91.23/13.17  thf(func_def_277, type, sK212: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > trm)).
% 91.23/13.17  thf(func_def_278, type, sK213: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > trm)).
% 91.23/13.17  thf(func_def_279, type, sK214: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_280, type, sK215: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 91.23/13.17  thf(func_def_281, type, sK216: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > trm)).
% 91.23/13.17  thf(func_def_282, type, sK217: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > trm)).
% 91.23/13.17  thf(func_def_283, type, sK218: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_284, type, sK219: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 91.23/13.17  thf(func_def_285, type, sK220: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > char)).
% 91.23/13.17  thf(func_def_286, type, sK221: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > trm)).
% 91.23/13.17  thf(func_def_287, type, sK222: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_288, type, sK223: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 91.23/13.17  thf(func_def_289, type, sK224: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > char)).
% 91.23/13.17  thf(func_def_290, type, sK225: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_291, type, sK226: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 91.23/13.17  thf(func_def_292, type, sK227: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > real)).
% 91.23/13.17  thf(func_def_293, type, sK228: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_294, type, sK229: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 91.23/13.17  thf(func_def_295, type, sK230: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > variable)).
% 91.23/13.17  thf(func_def_296, type, sK231: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_297, type, sK232: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_298, type, sK233: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 91.23/13.17  thf(func_def_299, type, sK234: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 91.23/13.17  thf(func_def_300, type, sK235: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_301, type, sK236: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_302, type, sK237: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > char)).
% 91.23/13.17  thf(func_def_303, type, sK238: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 91.23/13.17  thf(func_def_304, type, sK239: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_305, type, sK240: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_306, type, sK241: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 91.23/13.17  thf(func_def_307, type, sK242: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_308, type, sK243: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_309, type, sK244: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 91.23/13.17  thf(func_def_310, type, sK245: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 91.23/13.17  thf(func_def_311, type, sK246: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_312, type, sK247: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_313, type, sK248: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > char)).
% 91.23/13.17  thf(func_def_314, type, sK249: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_315, type, sK250: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_316, type, sK251: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > real)).
% 91.23/13.17  thf(func_def_317, type, sK252: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 91.23/13.17  thf(func_def_318, type, sK253: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 91.23/13.17  thf(func_def_319, type, sK254: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > variable)).
% 91.23/13.17  thf(func_def_320, type, sK255: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm)).
% 91.23/13.17  thf(func_def_321, type, sK256: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm)).
% 91.23/13.17  thf(func_def_322, type, sK257: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm)).
% 91.23/13.17  thf(func_def_323, type, sK258: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm)).
% 91.23/13.17  thf(func_def_324, type, sK259: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > char)).
% 91.23/13.17  thf(func_def_325, type, sK260: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm)).
% 91.23/13.17  thf(func_def_326, type, sK261: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > char)).
% 91.23/13.17  thf(func_def_327, type, sK262: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > real)).
% 91.23/13.17  thf(func_def_328, type, sK263: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > variable)).
% 91.23/13.17  thf(func_def_329, type, sK264: (option @ trm > trm > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 91.23/13.17  thf(func_def_330, type, sK265: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 91.23/13.17  thf(func_def_331, type, sK266: !>[X0: $tType]:((set @ X0 > X0))).
% 91.23/13.17  thf(func_def_332, type, sK267: (option @ trm > trm)).
% 91.23/13.17  thf(func_def_333, type, sK268: (option @ game > game)).
% 91.23/13.17  thf(func_def_334, type, sK269: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 91.23/13.17  thf(func_def_335, type, sK270: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 91.23/13.17  thf(func_def_336, type, sK271: !>[X0: $tType]:((set @ X0 > X0))).
% 91.23/13.17  thf(func_def_337, type, sK272: !>[X0: $tType]:(((X0 > $o) > X0))).
% 91.23/13.17  thf(func_def_338, type, sK273: !>[X0: $tType]:(((X0 > $o) > X0))).
% 91.23/13.17  thf(func_def_339, type, sK274: !>[X0: $tType]:((option @ X0 > X0))).
% 91.23/13.17  thf(func_def_340, type, sK275: !>[X0: $tType]:((option @ X0 > X0))).
% 91.23/13.17  thf(func_def_341, type, sK276: (option @ fml > fml)).
% 91.23/13.17  thf(func_def_343, type, sK278: !>[X0: $tType]:(((option @ X0 > $o) > option @ X0))).
% 91.23/13.17  thf(func_def_344, type, sK279: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 91.23/13.17  thf(func_def_345, type, sK280: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 91.23/13.17  thf(func_def_346, type, sK281: !>[X0: $tType]:(((option @ X0 > $o) > option @ X0))).
% 91.23/13.17  thf(func_def_347, type, db6: !>[X0: $tType]:(X0)).
% 91.23/13.17  thf(func_def_348, type, db5: !>[X0: $tType]:(X0)).
% 91.23/13.17  thf(f2,axiom,(
% 91.23/13.17    (((uSubst95898978stappf @ sigma @ va @ (pred @ p @ theta))) != none @ fml)),
% 91.23/13.17    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_Pred_Oprems_I2_J)).
% 91.23/13.17  thf(f5,axiom,(
% 91.23/13.17    ~((((inf_inf @ set @ variable @ (static_FVF @ (the @ fml @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X2)))))))) @ sigma @ p))) @ va)) != bot_bot @ set @ variable) => (none @ fml = ((uSubst95898978stappf @ (uSubst969145931substt @ (the @ trm @ (uSubst95898992stappt @ sigma @ va @ theta))) @ bot_bot @ set @ variable @ (the @ fml @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X2)))))))) @ sigma @ p))))))),
% 91.23/13.17    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062)).
% 91.23/13.17  thf(f75,axiom,(
% 91.23/13.17    ! [X0 : $tType,X1 : X0] : (((the @ X0 @ (some @ X0 @ X1))) = X1)),
% 91.23/13.17    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_option_Osel)).
% 91.23/13.17  thf(f78,axiom,(
% 91.23/13.17    ! [X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game),X1 : set @ variable,X2 : char,X3 : trm] : ((((uSubst95898978stappf @ X0 @ X1 @ (pred @ X2 @ X3))) != none @ fml) => ((? [X8 : fml] : ((((inf_inf @ set @ variable @ (static_FVF @ X8) @ X1)) = bot_bot @ set @ variable) & (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X4 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X5 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X6 : (char > option @ fml), X7 : (char > option @ game)] : (X6)))))))) @ X0 @ X2)) = ((some @ fml @ X8)))) | (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X4 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X5 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X6 : (char > option @ fml), X7 : (char > option @ game)] : (X6)))))))) @ X0 @ X2)) = none @ fml)) & (((uSubst95898992stappt @ X0 @ X1 @ X3)) != none @ trm)))),
% 91.23/13.17    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_usubstappf__pred__conv)).
% 91.23/13.17  thf(f276,conjecture,(
% 91.23/13.17    (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X2)))))))) @ sigma @ p)) = none @ fml)),
% 91.23/13.17    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 91.23/13.17  thf(f277,negated_conjecture,(
% 91.23/13.17    ~ (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X2)))))))) @ sigma @ p)) = none @ fml)),
% 91.23/13.17    inference(negated_conjecture,[status(cth)],[f276])).
% 91.23/13.17  thf(f280,plain,(
% 91.23/13.17    ~((((inf_inf @ set @ variable @ (static_FVF @ (the @ fml @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X2)))))))) @ sigma @ p))) @ va)) != bot_bot @ set @ variable) => (none @ fml = ((uSubst95898978stappf @ (uSubst969145931substt @ (the @ trm @ (uSubst95898992stappt @ sigma @ va @ theta))) @ bot_bot @ set @ variable @ (the @ fml @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X4 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X5 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X6 : (char > option @ fml), X7 : (char > option @ game)] : (X6)))))))) @ sigma @ p))))))),
% 91.23/13.17    inference(rectify,[],[f5])).
% 91.23/13.17  thf(f281,plain,(
% 91.23/13.17    ~((bot_bot @ set @ variable != ((inf_inf @ set @ variable @ (static_FVF @ (the @ fml @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ sigma @ p))) @ va))) => (none @ fml = ((uSubst95898978stappf @ (uSubst969145931substt @ (the @ trm @ (uSubst95898992stappt @ sigma @ va @ theta))) @ bot_bot @ set @ variable @ (the @ fml @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ sigma @ p))))))),
% 91.23/13.17    inference(fool_elimination,[],[f280])).
% 91.23/13.17  thf(f389,plain,(
% 91.23/13.17    ! [X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game),X1 : set @ variable,X2 : char,X3 : trm] : ((((uSubst95898978stappf @ X0 @ X1 @ (pred @ X2 @ X3))) != none @ fml) => ((? [X4 : fml] : ((bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVF @ X4) @ X1))) & (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X5 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X6 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X7 : (char > option @ fml), X8 : (char > option @ game)] : (X7)))))))) @ X0 @ X2)) = ((some @ fml @ X4)))) | (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X9 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X10 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X11 : (char > option @ fml), X12 : (char > option @ game)] : (X11)))))))) @ X0 @ X2)) = none @ fml)) & (((uSubst95898992stappt @ X0 @ X1 @ X3)) != none @ trm)))),
% 91.23/13.17    inference(rectify,[],[f78])).
% 91.23/13.17  thf(f390,plain,(
% 91.23/13.17    ! [X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game),X1 : set @ variable,X2 : char,X3 : trm] : ((none @ fml != ((uSubst95898978stappf @ X0 @ X1 @ (pred @ X2 @ X3)))) => ((? [X4 : fml] : ((bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVF @ X4) @ X1))) & (((some @ fml @ X4)) = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ X0 @ X2)))) | (none @ fml = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ X0 @ X2)))) & (((uSubst95898992stappt @ X0 @ X1 @ X3)) != none @ trm)))),
% 91.23/13.17    inference(fool_elimination,[],[f389])).
% 91.23/13.17  thf(f607,plain,(
% 91.23/13.17    ~ (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X2)))))))) @ sigma @ p)) = none @ fml)),
% 91.23/13.17    inference(rectify,[],[f277])).
% 91.23/13.17  thf(f608,plain,(
% 91.23/13.17    ~ (none @ fml = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ sigma @ p)))),
% 91.23/13.17    inference(fool_elimination,[],[f607])).
% 91.23/13.17  thf(f634,plain,(
% 91.23/13.17    (none @ fml != ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ sigma @ p)))),
% 91.23/13.17    inference(flattening,[],[f608])).
% 91.23/13.17  thf(f636,plain,(
% 91.23/13.17    (none @ fml != ((uSubst95898978stappf @ (uSubst969145931substt @ (the @ trm @ (uSubst95898992stappt @ sigma @ va @ theta))) @ bot_bot @ set @ variable @ (the @ fml @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ sigma @ p))))) & (bot_bot @ set @ variable != ((inf_inf @ set @ variable @ (static_FVF @ (the @ fml @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ sigma @ p))) @ va)))),
% 91.23/13.17    inference(ennf_transformation,[],[f281])).
% 91.23/13.17  thf(f693,plain,(
% 91.23/13.17    ! [X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game),X1 : set @ variable,X2 : char,X3 : trm] : (((? [X4 : fml] : ((bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVF @ X4) @ X1))) & (((some @ fml @ X4)) = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ X0 @ X2)))) | (none @ fml = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ X0 @ X2)))) & (((uSubst95898992stappt @ X0 @ X1 @ X3)) != none @ trm)) | (none @ fml = ((uSubst95898978stappf @ X0 @ X1 @ (pred @ X2 @ X3)))))),
% 91.23/13.17    inference(ennf_transformation,[],[f390])).
% 91.23/13.17  thf(f843,plain,(
% 91.23/13.17    ! [X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game),X1 : set @ variable,X2 : char,X3 : trm] : (((((bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVF @ (sK36 @ X2 @ X1 @ X0)) @ X1))) & (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ X0 @ X2)) = ((some @ fml @ (sK36 @ X2 @ X1 @ X0))))) | (none @ fml = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ X0 @ X2)))) & (((uSubst95898992stappt @ X0 @ X1 @ X3)) != none @ trm)) | (none @ fml = ((uSubst95898978stappf @ X0 @ X1 @ (pred @ X2 @ X3)))))),
% 91.23/13.17    inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X6,sK19 @ X0)],[f693])).
% 91.23/13.17  thf(f959,plain,(
% 91.23/13.17    (none @ fml != ((uSubst95898978stappf @ sigma @ va @ (pred @ p @ theta))))),
% 91.23/13.17    inference(cnf_transformation,[],[f2])).
% 91.23/13.17  thf(f962,plain,(
% 91.23/13.17    (bot_bot @ set @ variable != ((inf_inf @ set @ variable @ (static_FVF @ (the @ fml @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ sigma @ p))) @ va)))),
% 91.23/13.17    inference(cnf_transformation,[],[f636])).
% 91.23/13.17  thf(f1051,plain,(
% 91.23/13.17    ( ! [X0 : $tType,X1 : X0] : ((((the @ X0 @ (some @ X0 @ X1))) = X1)) )),
% 91.23/13.17    inference(cnf_transformation,[],[f75])).
% 91.23/13.17  thf(f1055,plain,(
% 91.23/13.17    ( ! [X2 : char,X3 : trm,X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game),X1 : set @ variable] : ((((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ X0 @ X2)) = ((some @ fml @ (sK36 @ X2 @ X1 @ X0)))) | (none @ fml = ((uSubst95898978stappf @ X0 @ X1 @ (pred @ X2 @ X3)))) | (none @ fml = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ X0 @ X2)))) )),
% 91.23/13.17    inference(cnf_transformation,[],[f843])).
% 91.23/13.17  thf(f1056,plain,(
% 91.23/13.17    ( ! [X2 : char,X3 : trm,X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game),X1 : set @ variable] : ((bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVF @ (sK36 @ X2 @ X1 @ X0)) @ X1))) | (none @ fml = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ X0 @ X2))) | (none @ fml = ((uSubst95898978stappf @ X0 @ X1 @ (pred @ X2 @ X3))))) )),
% 91.23/13.17    inference(cnf_transformation,[],[f843])).
% 91.23/13.17  thf(f1345,plain,(
% 91.23/13.17    (none @ fml != ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ sigma @ p)))),
% 91.23/13.17    inference(cnf_transformation,[],[f634])).
% 91.23/13.17  thf(f33322,plain,(
% 91.23/13.17    ( ! [X0 : set @ variable,X1 : trm] : ((none @ fml != none @ fml) | (bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVF @ (sK36 @ p @ X0 @ sigma)) @ X0))) | (none @ fml = ((uSubst95898978stappf @ sigma @ X0 @ (pred @ p @ X1))))) )),
% 91.23/13.17    inference(constrained_superposition,[],[f1345,f1056])).
% 91.23/13.17  thf(f33344,plain,(
% 91.23/13.17    ( ! [X0 : set @ variable,X1 : trm] : ((bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVF @ (sK36 @ p @ X0 @ sigma)) @ X0))) | (none @ fml = ((uSubst95898978stappf @ sigma @ X0 @ (pred @ p @ X1))))) )),
% 91.23/13.17    inference(trivial_inequality_removal,[],[f33322])).
% 91.23/13.17  thf(f34292,plain,(
% 91.23/13.17    ( ! [X0 : set @ variable,X1 : trm] : ((bot_bot @ set @ variable != ((inf_inf @ set @ variable @ (static_FVF @ (the @ fml @ (some @ fml @ (sK36 @ p @ X0 @ sigma)))) @ va))) | (none @ fml = ((uSubst95898978stappf @ sigma @ X0 @ (pred @ p @ X1)))) | (none @ fml = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ fml) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y2)))))))) @ sigma @ p)))) )),
% 91.23/13.17    inference(constrained_superposition,[],[f962,f1055])).
% 91.23/13.17  thf(f34344,plain,(
% 91.23/13.17    ( ! [X0 : set @ variable,X1 : trm] : ((bot_bot @ set @ variable != ((inf_inf @ set @ variable @ (static_FVF @ (the @ fml @ (some @ fml @ (sK36 @ p @ X0 @ sigma)))) @ va))) | (none @ fml = ((uSubst95898978stappf @ sigma @ X0 @ (pred @ p @ X1))))) )),
% 91.23/13.17    inference(forward_subsumption_resolution,[],[f34292,f1345])).
% 91.23/13.17  thf(f34347,plain,(
% 91.23/13.17    ( ! [X0 : set @ variable,X1 : trm] : ((bot_bot @ set @ variable != ((inf_inf @ set @ variable @ (static_FVF @ (sK36 @ p @ X0 @ sigma)) @ va))) | (none @ fml = ((uSubst95898978stappf @ sigma @ X0 @ (pred @ p @ X1))))) )),
% 91.23/13.17    inference(forward_demodulation,[],[f34344,f1051])).
% 91.23/13.17  thf(f34352,plain,(
% 91.23/13.17    ( ! [X0 : trm,X1 : trm] : ((bot_bot @ set @ variable != bot_bot @ set @ variable) | (none @ fml = ((uSubst95898978stappf @ sigma @ va @ (pred @ p @ X0)))) | (none @ fml = ((uSubst95898978stappf @ sigma @ va @ (pred @ p @ X1))))) )),
% 91.23/13.17    inference(constrained_superposition,[],[f34347,f33344])).
% 91.23/13.17  thf(f34357,plain,(
% 91.23/13.17    ( ! [X0 : trm,X1 : trm] : ((none @ fml = ((uSubst95898978stappf @ sigma @ va @ (pred @ p @ X0)))) | (none @ fml = ((uSubst95898978stappf @ sigma @ va @ (pred @ p @ X1))))) )),
% 91.23/13.17    inference(trivial_inequality_removal,[],[f34352])).
% 91.23/13.17  thf(f34459,definition,(
% 91.23/13.17    spl277_7 <=> ! [X1 : trm] : (none @ fml = ((uSubst95898978stappf @ sigma @ va @ (pred @ p @ X1))))),
% 91.23/13.17    introduced(definition,[new_symbols(definition,[spl277_7])],[avatar_definition])).
% 91.23/13.17  thf(f34460,plain,(
% 91.23/13.17    ( ! [X1 : trm] : ((none @ fml = ((uSubst95898978stappf @ sigma @ va @ (pred @ p @ X1))))) ) | ~spl277_7),
% 91.23/13.17    inference(avatar_component_clause,[],[f34459])).
% 91.23/13.17  thf(f34461,plain,(
% 91.23/13.17    spl277_7 | spl277_7),
% 91.23/13.17    inference(avatar_split_clause,[],[f34357,f34459,f34459])).
% 91.23/13.17  thf(f34482,plain,(
% 91.23/13.17    (none @ fml != none @ fml) | ~spl277_7),
% 91.23/13.17    inference(constrained_superposition,[],[f959,f34460])).
% 91.23/13.17  thf(f34492,plain,(
% 91.23/13.17    $false | ~spl277_7),
% 91.23/13.17    inference(trivial_inequality_removal,[],[f34482])).
% 91.23/13.17  thf(f34493,plain,(
% 91.23/13.17    ~spl277_7),
% 91.23/13.17    inference(avatar_contradiction_clause,[],[f34492])).
% 91.23/13.17  cnf(s5, plain, spl277_7 | spl277_7, inference(sat_conversion,[],[f34461])).
% 91.23/13.17  cnf(s6, plain, spl277_7, inference(rat,[],[s5])).
% 91.23/13.17  cnf(s7, plain, ~spl277_7, inference(sat_conversion,[],[f34493])).
% 91.23/13.17  cnf(s8, plain, $false, inference(rat,[],[s6,s7])).
% 91.23/13.17  thf(f34498,plain,(
% 91.23/13.17    $false),
% 91.23/13.17    inference(avatar_sat_refutation,[],[s8])).
% 91.23/13.17  % SZS output end Proof for theBenchmark
% 91.23/13.17  % (3671884)------------------------------
% 91.23/13.17  % (3671884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.23/13.17  % (3671884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.23/13.17  % (3671884)CaDiCaL version: 2.1.3
% 91.23/13.17  % (3671884)Termination reason: Refutation
% 91.23/13.17  % (3671884)Time elapsed: 3.919 s
% 91.23/13.17  % (3671884)Peak memory usage: 81 MB
% 91.23/13.17  % (3671884)Instructions burned: 8005 (million)
% 91.23/13.17  % (3671641)Success in time 12.89 s
% 91.23/13.17  % Vampire exiting
%------------------------------------------------------------------------------