%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP175^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 08:10:59 AM UTC 2026
% Result : Theorem 7.12s 1.38s
% Output : Refutation 7.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP175^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 20:06:16 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.64/1.28 % (2142645)Will run a generic schedule for satisfiability detection.
% 6.64/1.28 % (2142652)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3298482900:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.64/1.28 % (2142651)% WARNING: option uhcvi not known.
% 6.64/1.28 % (2142650)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1841038437_2999 on theBenchmark for (2999ds/0Mi)
% 6.64/1.28 % (2142651)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3465966828:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.64/1.28 % (2142653)dis+10_1_sil=32000:sp=arity:random_seed=2745440927:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.64/1.28 % (2142654)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4191879195:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.64/1.28 % (2142656)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2858963344:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.64/1.28 % (2142655)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2622098204:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.64/1.28 % (2142651)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.64/1.28 % (2142654)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.64/1.28 % (2142653)Instruction limit reached!
% 6.64/1.28 % (2142653)------------------------------
% 6.64/1.28 % (2142653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.28 % (2142653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.28 % (2142653)CaDiCaL version: 2.1.3
% 6.64/1.28 % (2142653)Termination reason: Instruction limit
% 6.64/1.28 % (2142653)Termination phase: Property scanning
% 6.64/1.28 % (2142653)Time elapsed: 0.046 s
% 6.64/1.28 % (2142653)Peak memory usage: 11 MB
% 6.64/1.28 % (2142653)Instructions burned: 105 (million)
% 6.64/1.28 % Exception at run slice level
% 6.64/1.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.64/1.28 % (2142651)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.64/1.28 % (2142654)Instruction limit reached!
% 6.64/1.28 % (2142654)------------------------------
% 6.64/1.28 % (2142654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.28 % (2142654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.28 % (2142654)CaDiCaL version: 2.1.3
% 6.64/1.28 % (2142654)Termination reason: Instruction limit
% 6.64/1.28 % (2142654)Termination phase: Saturation
% 6.64/1.28 % (2142654)Time elapsed: 0.055 s
% 6.64/1.28 % (2142654)Peak memory usage: 12 MB
% 6.64/1.28 % (2142654)Instructions burned: 116 (million)
% 6.64/1.28 % (2142664)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=659086800:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 6.64/1.28 % (2142665)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3492748385:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.64/1.28 % (2142666)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=1068385148:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.64/1.28 % (2142666)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.64/1.28 % (2142656)Instruction limit reached!
% 6.64/1.28 % (2142656)------------------------------
% 6.64/1.28 % (2142656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.28 % (2142656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.28 % (2142656)CaDiCaL version: 2.1.3
% 6.64/1.28 % (2142656)Termination reason: Instruction limit
% 6.64/1.28 % (2142656)Termination phase: Saturation
% 6.64/1.28 % (2142656)Time elapsed: 0.095 s
% 6.64/1.28 % (2142656)Peak memory usage: 13 MB
% 6.64/1.28 % (2142656)Instructions burned: 159 (million)
% 6.64/1.28 % Exception at run slice level
% 6.64/1.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.64/1.28 % (2142655)Instruction limit reached!
% 6.64/1.28 % (2142655)------------------------------
% 6.64/1.28 % (2142655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.28 % (2142655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.38 % (2142655)CaDiCaL version: 2.1.3
% 7.12/1.38 % (2142655)Termination reason: Instruction limit
% 7.12/1.38 % (2142655)Termination phase: Saturation
% 7.12/1.38 % (2142655)Time elapsed: 0.102 s
% 7.12/1.38 % (2142655)Peak memory usage: 12 MB
% 7.12/1.38 % (2142655)Instructions burned: 132 (million)
% 7.12/1.38 % (2142665)Instruction limit reached!
% 7.12/1.38 % (2142665)------------------------------
% 7.12/1.38 % (2142665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.38 % (2142665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.38 % (2142665)CaDiCaL version: 2.1.3
% 7.12/1.38 % (2142665)Termination reason: Instruction limit
% 7.12/1.38 % (2142665)Termination phase: Saturation
% 7.12/1.38 % (2142665)Time elapsed: 0.058 s
% 7.12/1.38 % (2142665)Peak memory usage: 13 MB
% 7.12/1.38 % (2142665)Instructions burned: 133 (million)
% 7.12/1.38 % (2142666)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.12/1.38 % (2142671)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=639448547:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.12/1.38 % (2142670)ott-21_1_sil=16000:fs=off:random_seed=804689376:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.12/1.38 % (2142673)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=824817581:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.12/1.38 % (2142672)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3495430987:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.12/1.38 % Exception at run slice level
% 7.12/1.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.38 % (2142670)Instruction limit reached!
% 7.12/1.38 % (2142670)------------------------------
% 7.12/1.38 % (2142670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.38 % (2142670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.38 % (2142670)CaDiCaL version: 2.1.3
% 7.12/1.38 % (2142670)Termination reason: Instruction limit
% 7.12/1.38 % (2142670)Termination phase: Saturation
% 7.12/1.38 % (2142670)Time elapsed: 0.135 s
% 7.12/1.38 % (2142670)Peak memory usage: 13 MB
% 7.12/1.38 % (2142670)Instructions burned: 181 (million)
% 7.12/1.38 % (2142678)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1913452688:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 7.12/1.38 % (2142679)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=3312086643:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 7.12/1.38 % (2142679)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.12/1.38 % Exception at run slice level
% 7.12/1.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.38 % (2142682)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1408316147:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 7.12/1.38 % (2142671)Instruction limit reached!
% 7.12/1.38 % (2142671)------------------------------
% 7.12/1.38 % (2142671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.38 % (2142671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.38 % (2142671)CaDiCaL version: 2.1.3
% 7.12/1.38 % (2142671)Termination reason: Instruction limit
% 7.12/1.38 % (2142671)Termination phase: Saturation
% 7.12/1.38 % (2142671)Time elapsed: 0.258 s
% 7.12/1.38 % (2142671)Peak memory usage: 15 MB
% 7.12/1.38 % (2142671)Instructions burned: 478 (million)
% 7.12/1.38 % (2142666)Instruction limit reached!
% 7.12/1.38 % (2142666)------------------------------
% 7.12/1.38 % (2142666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.38 % (2142666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.38 % (2142666)CaDiCaL version: 2.1.3
% 7.12/1.38 % (2142666)Termination reason: Instruction limit
% 7.12/1.38 % (2142666)Termination phase: Saturation
% 7.12/1.38 % (2142666)Time elapsed: 0.336 s
% 7.12/1.38 % (2142666)Peak memory usage: 16 MB
% 7.12/1.38 % (2142666)Instructions burned: 687 (million)
% 7.12/1.38 % (2142684)fmb+10_1_sil=64000:random_seed=3283607522:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 7.12/1.38 % (2142682)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.12/1.38 % (2142686)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=166781393:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 7.12/1.38 % (2142684)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.12/1.38 % Exception at run slice level
% 7.12/1.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.38 % Exception at run slice level
% 7.12/1.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.38 % (2142688)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1275404370:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 7.12/1.38 % (2142690)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=860127928:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 7.12/1.38 % (2142690)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.12/1.38 % Exception at run slice level
% 7.12/1.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.38 % (2142692)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=30560805:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 7.12/1.38 % (2142692)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.12/1.38 % (2142692)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.12/1.38 % (2142673)Instruction limit reached!
% 7.12/1.38 % (2142673)------------------------------
% 7.12/1.38 % (2142673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.38 % (2142673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.38 % (2142673)CaDiCaL version: 2.1.3
% 7.12/1.38 % (2142673)Termination reason: Instruction limit
% 7.12/1.38 % (2142673)Termination phase: Saturation
% 7.12/1.38 % (2142673)Time elapsed: 0.593 s
% 7.12/1.38 % (2142673)Peak memory usage: 22 MB
% 7.12/1.38 % (2142673)Instructions burned: 1180 (million)
% 7.12/1.38 % (2142694)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1604888212:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 7.12/1.38 % Exception at run slice level
% 7.12/1.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.38 % (2142696)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1856848624:fmbsr=2.30978:i=2174_2991 on theBenchmark for (2991ds/2174Mi)
% 7.12/1.38 % (2142679)Instruction limit reached!
% 7.12/1.38 % (2142679)------------------------------
% 7.12/1.38 % (2142679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.38 % (2142679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.38 % (2142679)CaDiCaL version: 2.1.3
% 7.12/1.38 % (2142679)Termination reason: Instruction limit
% 7.12/1.38 % (2142679)Termination phase: Saturation
% 7.12/1.38 % (2142679)Time elapsed: 0.575 s
% 7.12/1.38 % (2142679)Peak memory usage: 17 MB
% 7.12/1.38 % (2142679)Instructions burned: 692 (million)
% 7.12/1.38 % Exception at run slice level
% 7.12/1.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.38 % (2142698)ott-2_1_sil=16000:newcnf=on:random_seed=1882616187:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2990 on theBenchmark for (2990ds/869Mi)
% 7.12/1.38 % (2142699)ott+10_1_sil=32000:tgt=ground:random_seed=994477001:i=5114:av=off_2990 on theBenchmark for (2990ds/5114Mi)
% 7.12/1.38 % (2142698)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.12/1.38 % (2142682)Instruction limit reached!
% 7.12/1.38 % (2142682)------------------------------
% 7.12/1.38 % (2142682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.38 % (2142682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.38 % (2142682)CaDiCaL version: 2.1.3
% 7.12/1.38 % (2142682)Termination reason: Instruction limit
% 7.12/1.38 % (2142682)Termination phase: Saturation
% 7.12/1.38 % (2142682)Time elapsed: 0.541 s
% 7.12/1.38 % (2142682)Peak memory usage: 18 MB
% 7.12/1.38 % (2142682)Instructions burned: 879 (million)
% 7.12/1.38 % (2142702)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3850888713:i=54282_2990 on theBenchmark for (2990ds/54282Mi)
% 7.12/1.38 % Exception at run slice level
% 7.12/1.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.38 % (2142704)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1426202706:i=3512:aac=none_2989 on theBenchmark for (2989ds/3512Mi)
% 7.12/1.38 % (2142704)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.12/1.38 % (2142690) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2142645-2142690"...
% 7.12/1.38 % (2142690)...printing done.
% 7.12/1.38 % (2142690)Refutation found. Thanks to Tanya!
% 7.12/1.38 % SZS status Theorem for theBenchmark
% 7.12/1.38 % SZS output start Proof for theBenchmark
% 7.12/1.38 thf(type_def_5, type, allegorical_term: $tType > $tType).
% 7.12/1.38 thf(type_def_6, type, labeled_graph: ($tType * $tType) > $tType).
% 7.12/1.38 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 7.12/1.38 thf(type_def_8, type, set: $tType > $tType).
% 7.12/1.38 thf(type_def_9, type, nat: $tType).
% 7.12/1.38 thf(type_def_10, type, itself: $tType > $tType).
% 7.12/1.38 thf(type_def_11, type, b: $tType).
% 7.12/1.38 thf(type_def_12, type, a: $tType).
% 7.12/1.38 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 7.12/1.38 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 7.12/1.38 thf(func_def_1, type, bot: !>[X0: $tType]:($o)).
% 7.12/1.38 thf(func_def_2, type, ord: !>[X0: $tType]:($o)).
% 7.12/1.38 thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 7.12/1.38 thf(func_def_4, type, linorder: !>[X0: $tType]:($o)).
% 7.12/1.38 thf(func_def_5, type, preorder: !>[X0: $tType]:($o)).
% 7.12/1.38 thf(func_def_6, type, order_bot: !>[X0: $tType]:($o)).
% 7.12/1.38 thf(func_def_7, type, bNF_Gr1317331620lImage: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > set @ product_prod @ X1 @ X1))).
% 7.12/1.38 thf(func_def_8, type, bNF_Greatest_univ: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 7.12/1.38 thf(func_def_9, type, equiv_congruent: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 7.12/1.38 thf(func_def_10, type, equiv_congruent2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1 > X2) > $o))).
% 7.12/1.38 thf(func_def_11, type, equiv_equiv: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 7.12/1.38 thf(func_def_12, type, equiv_proj: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X0 > set @ X1))).
% 7.12/1.38 thf(func_def_13, type, equiv_quotient: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > set @ set @ X0))).
% 7.12/1.38 thf(func_def_14, type, getRel: !>[X0: $tType, X1: $tType]:((X0 > labeled_graph @ X0 @ X1 > set @ product_prod @ X1 @ X1))).
% 7.12/1.38 thf(func_def_15, type, semantics: !>[X0: $tType, X1: $tType]:((labeled_graph @ X0 @ X1 > allegorical_term @ X0 > set @ product_prod @ X1 @ X1))).
% 7.12/1.38 thf(func_def_16, type, graph_homomorphism: !>[X0: $tType, X1: $tType, X2: $tType]:((labeled_graph @ X0 @ X1 > labeled_graph @ X0 @ X2 > set @ product_prod @ X1 @ X2 > $o))).
% 7.12/1.38 thf(func_def_17, type, graph_union: !>[X0: $tType, X1: $tType]:((labeled_graph @ X0 @ X1 > labeled_graph @ X0 @ X1 > labeled_graph @ X0 @ X1))).
% 7.12/1.38 thf(func_def_18, type, labeled_LG: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ product_prod @ X1 @ X1 > set @ X1 > labeled_graph @ X0 @ X1))).
% 7.12/1.38 thf(func_def_19, type, labele1974067554_graph: !>[X0: $tType, X1: $tType, X2: $tType]:(((set @ product_prod @ X0 @ product_prod @ X1 @ X1 > set @ X1 > X2) > labeled_graph @ X0 @ X1 > X2))).
% 7.12/1.38 thf(func_def_20, type, labeled_edges: !>[X0: $tType, X1: $tType]:((labeled_graph @ X0 @ X1 > set @ product_prod @ X0 @ product_prod @ X1 @ X1))).
% 7.12/1.38 thf(func_def_21, type, labeled_vertices: !>[X0: $tType, X1: $tType]:((labeled_graph @ X0 @ X1 > set @ X1))).
% 7.12/1.38 thf(func_def_22, type, on_triple: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ product_prod @ X2 @ product_prod @ X0 @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X1))).
% 7.12/1.38 thf(func_def_23, type, restrict: !>[X0: $tType, X1: $tType]:((labeled_graph @ X0 @ X1 > labeled_graph @ X0 @ X1))).
% 7.12/1.38 thf(func_def_24, type, idempotent: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 7.12/1.38 thf(func_def_25, type, order_1409979114der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 7.12/1.38 thf(func_def_26, type, order_preorder_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 7.12/1.38 thf(func_def_27, type, bot_bot: !>[X0: $tType]:(X0)).
% 7.12/1.38 thf(func_def_28, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 7.12/1.38 thf(func_def_29, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 7.12/1.38 thf(func_def_30, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 7.12/1.38 thf(func_def_31, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 7.12/1.38 thf(func_def_32, type, id_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0))).
% 7.12/1.38 thf(func_def_33, type, refl_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 7.12/1.38 thf(func_def_34, type, sym: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 7.12/1.38 thf(func_def_35, type, total_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 7.12/1.38 thf(func_def_36, type, trans: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 7.12/1.38 thf(func_def_37, type, agree_on: !>[X0: $tType, X1: $tType, X2: $tType]:((labeled_graph @ X0 @ X1 > set @ product_prod @ X1 @ X2 > set @ product_prod @ X1 @ X2 > $o))).
% 7.12/1.38 thf(func_def_38, type, consequence_graph: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ labeled_graph @ X0 @ X1 @ labeled_graph @ X0 @ X1 > labeled_graph @ X0 @ X2 > $o))).
% 7.12/1.38 thf(func_def_39, type, extensible: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ labeled_graph @ X0 @ X1 @ labeled_graph @ X0 @ X1 > labeled_graph @ X0 @ X2 > set @ product_prod @ X1 @ X2 > $o))).
% 7.12/1.38 thf(func_def_40, type, fin_maintained: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ labeled_graph @ X0 @ X1 @ labeled_graph @ X0 @ X1 > labeled_graph @ X0 @ X2 > $o))).
% 7.12/1.38 thf(func_def_41, type, least: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((itself @ X0 > set @ product_prod @ labeled_graph @ X1 @ X2 @ labeled_graph @ X1 @ X2 > labeled_graph @ X1 @ X3 > labeled_graph @ X1 @ X3 > $o))).
% 7.12/1.38 thf(func_def_42, type, least_559130134_graph: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((itself @ X0 > set @ product_prod @ labeled_graph @ X1 @ X2 @ labeled_graph @ X1 @ X2 > labeled_graph @ X1 @ X3 > labeled_graph @ X1 @ X3 > $o))).
% 7.12/1.38 thf(func_def_43, type, maintained: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ labeled_graph @ X0 @ X1 @ labeled_graph @ X0 @ X1 > labeled_graph @ X0 @ X2 > $o))).
% 7.12/1.38 thf(func_def_44, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 7.12/1.38 thf(func_def_45, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 7.12/1.38 thf(func_def_46, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 7.12/1.38 thf(func_def_47, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 7.12/1.38 thf(func_def_48, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 7.12/1.38 thf(func_def_49, type, standa1068660421e_rule: !>[X0: $tType]:((X0 > X0 > product_prod @ labeled_graph @ X0 @ nat @ labeled_graph @ X0 @ nat))).
% 7.12/1.38 thf(func_def_50, type, standa244753842y_rule: !>[X0: $tType]:(product_prod @ labeled_graph @ X0 @ nat @ labeled_graph @ X0 @ nat)).
% 7.12/1.38 thf(func_def_51, type, standa245363227y_rule: !>[X0: $tType]:((X0 > product_prod @ labeled_graph @ X0 @ nat @ labeled_graph @ X0 @ nat))).
% 7.12/1.38 thf(func_def_52, type, standa1805702094y_rule: !>[X0: $tType]:((X0 > product_prod @ labeled_graph @ X0 @ nat @ labeled_graph @ X0 @ nat))).
% 7.12/1.38 thf(func_def_53, type, standa2114124375e_rule: !>[X0: $tType]:((X0 > product_prod @ labeled_graph @ X0 @ nat @ labeled_graph @ X0 @ nat))).
% 7.12/1.38 thf(func_def_54, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 7.12/1.38 thf(func_def_55, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 7.12/1.38 thf(func_def_56, type, g: labeled_graph @ a @ b).
% 7.12/1.38 thf(func_def_57, type, i: a).
% 7.12/1.38 thf(func_def_58, type, l: a).
% 7.12/1.38 thf(func_def_59, type, y: b).
% 7.12/1.38 thf(func_def_60, type, z: b).
% 7.12/1.38 thf(func_def_64, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 7.12/1.38 thf(func_def_65, type, vAND: ($o > $o > $o)).
% 7.12/1.38 thf(func_def_66, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 7.12/1.38 thf(func_def_67, type, vIMP: ($o > $o > $o)).
% 7.12/1.38 thf(func_def_68, type, db0: !>[X0: $tType]:(X0)).
% 7.12/1.38 thf(func_def_69, type, db1: !>[X0: $tType]:(X0)).
% 7.12/1.38 thf(func_def_70, type, db3: !>[X0: $tType]:(X0)).
% 7.12/1.38 thf(func_def_71, type, db2: !>[X0: $tType]:(X0)).
% 7.12/1.38 thf(func_def_72, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 7.12/1.38 thf(func_def_73, type, vNOT: ($o > $o)).
% 7.12/1.38 thf(func_def_74, type, vOR: ($o > $o > $o)).
% 7.12/1.38 thf(func_def_75, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 7.12/1.38 thf(func_def_76, type, sP0: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > set @ product_prod @ X2 @ X2 > (X2 > X1 > X0) > $o))).
% 7.12/1.38 thf(func_def_77, type, sP1: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X1 > X0) > $o))).
% 7.12/1.38 thf(func_def_78, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 7.12/1.38 thf(func_def_79, type, sP3: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 7.12/1.38 thf(func_def_80, type, sP4: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 7.12/1.38 thf(func_def_81, type, sK5: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 7.12/1.38 thf(func_def_82, type, sK6: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 7.12/1.38 thf(func_def_83, type, sK7: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 7.12/1.38 thf(func_def_84, type, sK8: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_85, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 7.12/1.38 thf(func_def_86, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 7.12/1.38 thf(func_def_87, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 7.12/1.38 thf(func_def_88, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 7.12/1.38 thf(func_def_89, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 7.12/1.38 thf(func_def_90, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 7.12/1.38 thf(func_def_91, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 7.12/1.38 thf(func_def_92, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 7.12/1.38 thf(func_def_93, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 7.12/1.38 thf(func_def_94, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 7.12/1.38 thf(func_def_95, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 7.12/1.38 thf(func_def_96, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 7.12/1.38 thf(func_def_97, type, sK21: !>[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))).
% 7.12/1.38 thf(func_def_98, type, sK22: !>[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))).
% 7.12/1.38 thf(func_def_99, type, sK23: !>[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))).
% 7.12/1.38 thf(func_def_100, type, sK24: !>[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))).
% 7.12/1.38 thf(func_def_101, type, sK25: !>[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))).
% 7.12/1.38 thf(func_def_102, type, sK26: !>[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))).
% 7.12/1.38 thf(func_def_103, type, sK27: !>[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))).
% 7.12/1.38 thf(func_def_104, type, sK28: !>[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))).
% 7.12/1.38 thf(func_def_105, type, sK29: !>[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))).
% 7.12/1.38 thf(func_def_106, type, sK30: !>[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))).
% 7.12/1.38 thf(func_def_107, type, sK31: !>[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))).
% 7.12/1.38 thf(func_def_108, type, sK32: !>[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))).
% 7.12/1.38 thf(func_def_109, type, sK33: !>[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))).
% 7.12/1.38 thf(func_def_110, type, sK34: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 7.12/1.38 thf(func_def_111, type, sK35: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_112, type, sK36: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 7.12/1.38 thf(func_def_113, type, sK37: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 7.12/1.38 thf(func_def_114, type, sK38: !>[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))).
% 7.12/1.38 thf(func_def_115, type, sK39: !>[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))).
% 7.12/1.38 thf(func_def_116, type, sK40: !>[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))).
% 7.12/1.38 thf(func_def_117, type, sK41: !>[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))).
% 7.12/1.38 thf(func_def_118, type, sK42: !>[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))).
% 7.12/1.38 thf(func_def_119, type, sK43: !>[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))).
% 7.12/1.38 thf(func_def_120, type, sK44: !>[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))).
% 7.12/1.38 thf(func_def_121, type, sK45: !>[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))).
% 7.12/1.38 thf(func_def_122, type, sK46: !>[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))).
% 7.12/1.38 thf(func_def_123, type, sK47: !>[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))).
% 7.12/1.38 thf(func_def_124, type, sK48: !>[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))).
% 7.12/1.38 thf(func_def_125, type, sK49: !>[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))).
% 7.12/1.38 thf(func_def_126, type, sK50: !>[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))).
% 7.12/1.38 thf(func_def_127, type, sK51: !>[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))).
% 7.12/1.38 thf(func_def_128, type, sK52: !>[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))).
% 7.12/1.38 thf(func_def_129, type, sK53: !>[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))).
% 7.12/1.38 thf(func_def_130, type, sK54: !>[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))).
% 7.12/1.38 thf(func_def_131, type, sK55: !>[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))).
% 7.12/1.38 thf(func_def_132, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 7.12/1.38 thf(func_def_133, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 7.12/1.38 thf(func_def_134, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 7.12/1.38 thf(func_def_135, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_136, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 7.12/1.38 thf(func_def_137, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 7.12/1.38 thf(func_def_138, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_139, type, sK63: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_140, type, sK64: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_141, type, sK65: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_142, type, sK66: !>[X0: $tType, X1: $tType]:((X1 > labeled_graph @ X1 @ X0 > product_prod @ labeled_graph @ X1 @ nat @ labeled_graph @ X1 @ nat))).
% 7.12/1.38 thf(func_def_143, type, sK67: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_144, type, sK68: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 7.12/1.38 thf(func_def_145, type, sK69: !>[X0: $tType]:((set @ X0 > X0))).
% 7.12/1.38 thf(func_def_146, type, sK70: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 7.12/1.38 thf(func_def_147, type, sK71: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 7.12/1.38 thf(func_def_148, type, sK72: !>[X0: $tType, X1: $tType]:((labeled_graph @ X0 @ X1 > set @ product_prod @ X0 @ product_prod @ X1 @ X1))).
% 7.12/1.38 thf(func_def_149, type, sK73: !>[X0: $tType, X1: $tType]:((labeled_graph @ X0 @ X1 > set @ X1))).
% 7.12/1.38 thf(func_def_150, type, sK74: !>[X0: $tType, X1: $tType]:(((labeled_graph @ X1 @ X0 > $o) > set @ product_prod @ X1 @ product_prod @ X0 @ X0))).
% 7.12/1.38 thf(func_def_151, type, sK75: !>[X0: $tType, X1: $tType]:(((labeled_graph @ X1 @ X0 > $o) > set @ X0))).
% 7.12/1.38 thf(func_def_152, type, sK76: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_153, type, sK77: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_154, type, sK78: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 7.12/1.38 thf(func_def_155, type, sK79: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 7.12/1.38 thf(func_def_156, type, sK80: !>[X0: $tType]:((set @ X0 > X0))).
% 7.12/1.38 thf(func_def_157, type, sK81: !>[X0: $tType]:((set @ X0 > X0))).
% 7.12/1.38 thf(func_def_158, type, sK82: !>[X0: $tType]:((set @ X0 > X0))).
% 7.12/1.38 thf(func_def_159, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType]:((labeled_graph @ X2 @ X0 > labeled_graph @ X2 @ X1 > labeled_graph @ X2 @ X0 > set @ product_prod @ X0 @ X1))).
% 7.12/1.38 thf(func_def_160, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > set @ product_prod @ X2 @ X2 > (X2 > X1 > X0) > X2))).
% 7.12/1.38 thf(func_def_161, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > set @ product_prod @ X2 @ X2 > (X2 > X1 > X0) > X2))).
% 7.12/1.38 thf(func_def_162, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > set @ product_prod @ X2 @ X2 > (X2 > X1 > X0) > X1))).
% 7.12/1.38 thf(func_def_163, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > set @ product_prod @ X1 @ X1 > set @ X2 > X1))).
% 7.12/1.38 thf(func_def_164, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > set @ product_prod @ X1 @ X1 > set @ X2 > X1))).
% 7.12/1.38 thf(func_def_165, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > set @ product_prod @ X1 @ X1 > set @ X2 > X2))).
% 7.12/1.38 thf(func_def_166, type, sK90: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X1 > X0) > X1))).
% 7.12/1.38 thf(func_def_167, type, sK91: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X1 > X0) > X1))).
% 7.12/1.38 thf(func_def_168, type, sK92: !>[X0: $tType, X1: $tType]:(((X1 > X1 > X0) > set @ product_prod @ X1 @ X1 > set @ X1 > X1))).
% 7.12/1.38 thf(func_def_169, type, sK93: !>[X0: $tType, X1: $tType]:(((X1 > X1 > X0) > set @ product_prod @ X1 @ X1 > set @ X1 > X1))).
% 7.12/1.38 thf(func_def_170, type, sK94: !>[X0: $tType, X1: $tType]:(((X1 > X1 > X0) > set @ product_prod @ X1 @ X1 > set @ X1 > X1))).
% 7.12/1.38 thf(func_def_171, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > set @ product_prod @ X1 @ X1 > set @ product_prod @ X2 @ X2 > X2))).
% 7.12/1.38 thf(func_def_172, type, sK96: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > set @ product_prod @ X1 @ X1 > set @ product_prod @ X2 @ X2 > X2))).
% 7.12/1.38 thf(func_def_173, type, sK97: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > set @ product_prod @ X1 @ X1 > set @ product_prod @ X2 @ X2 > X1))).
% 7.12/1.38 thf(func_def_174, type, sK98: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > set @ product_prod @ X1 @ X1 > set @ product_prod @ X2 @ X2 > X1))).
% 7.12/1.38 thf(func_def_175, type, sK99: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 7.12/1.38 thf(func_def_176, type, sK100: !>[X0: $tType]:((set @ X0 > product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_177, type, sK101: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X1))).
% 7.12/1.38 thf(func_def_178, type, sK102: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X0))).
% 7.12/1.38 thf(func_def_179, type, sK103: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_180, type, sK104: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_181, type, sK105: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_182, type, sK106: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_183, type, sK107: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_184, type, sK108: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 7.12/1.38 thf(func_def_185, type, sK109: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 7.12/1.38 thf(func_def_186, type, sK110: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 7.12/1.38 thf(func_def_187, type, sK111: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 7.12/1.38 thf(func_def_188, type, sK112: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 7.12/1.38 thf(func_def_189, type, sK113: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 7.12/1.38 thf(func_def_190, type, sK114: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 7.12/1.38 thf(func_def_191, type, sK115: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 7.12/1.38 thf(func_def_192, type, sK116: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 7.12/1.38 thf(func_def_193, type, sK117: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ product_prod @ X1 @ X1 > X1))).
% 7.12/1.38 thf(func_def_194, type, sK118: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ product_prod @ X1 @ X1 > X1))).
% 7.12/1.38 thf(func_def_195, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X2 @ X1 > labeled_graph @ X0 @ X1 > labeled_graph @ X0 @ X2 > set @ product_prod @ X2 @ X1))).
% 7.12/1.38 thf(func_def_196, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((labeled_graph @ X3 @ X2 > labeled_graph @ X3 @ X2 > set @ product_prod @ labeled_graph @ X3 @ X1 @ labeled_graph @ X3 @ X1 > labeled_graph @ X3 @ X0))).
% 7.12/1.38 thf(func_def_197, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ product_prod @ labeled_graph @ X3 @ X1 @ labeled_graph @ X3 @ X1 > labeled_graph @ X3 @ X2 > labeled_graph @ X3 @ X2 > labeled_graph @ X3 @ X0))).
% 7.12/1.38 thf(func_def_198, type, sK122: !>[X0: $tType]:((set @ X0 > X0))).
% 7.12/1.38 thf(func_def_199, type, sK123: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > set @ X0 > X0))).
% 7.12/1.38 thf(func_def_200, type, sK124: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_201, type, sK125: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_202, type, sK126: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_203, type, sK127: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_204, type, sK128: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_205, type, sK129: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_206, type, sK130: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_207, type, sK131: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_208, type, sK132: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_209, type, sK133: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_210, type, sK134: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_211, type, sK135: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_212, type, sK136: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_213, type, sK137: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_214, type, sK138: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_215, type, sK139: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_216, type, sK140: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_217, type, sK141: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_218, type, sK142: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_219, type, sK143: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_220, type, sK144: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_221, type, sK145: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_222, type, sK146: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_223, type, sK147: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_224, type, sK148: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_225, type, sK149: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_226, type, sK150: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_227, type, sK151: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_228, type, sK152: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_229, type, sK153: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_230, type, sK154: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_231, type, sK155: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_232, type, sK156: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_233, type, sK157: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_234, type, sK158: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_235, type, sK159: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_236, type, sK160: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_237, type, sK161: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_238, type, sK162: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_239, type, sK163: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_240, type, sK164: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_241, type, sK165: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_242, type, sK166: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_243, type, sK167: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_244, type, sK168: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_245, type, sK169: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_246, type, sK170: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_247, type, sK171: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_248, type, sK172: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_249, type, sK173: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_250, type, sK174: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_251, type, sK175: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_252, type, sK176: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_253, type, sK177: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_254, type, sK178: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_255, type, sK179: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_256, type, sK180: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_257, type, sK181: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_258, type, sK182: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_259, type, sK183: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_260, type, sK184: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_261, type, sK185: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_262, type, sK186: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_263, type, sK187: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_264, type, sK188: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_265, type, sK189: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_266, type, sK190: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_267, type, sK191: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_268, type, sK192: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_269, type, sK193: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_270, type, sK194: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_271, type, sK195: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_272, type, sK196: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_273, type, sK197: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_274, type, sK198: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_275, type, sK199: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_276, type, sK200: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_277, type, sK201: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_278, type, sK202: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_279, type, sK203: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_280, type, sK204: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_281, type, sK205: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_282, type, sK206: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_283, type, sK207: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_284, type, sK208: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_285, type, sK209: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_286, type, sK210: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_287, type, sK211: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_288, type, sK212: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_289, type, sK213: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_290, type, sK214: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_291, type, sK215: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_292, type, sK216: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_293, type, sK217: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_294, type, sK218: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_295, type, sK219: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_296, type, sK220: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_297, type, sK221: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_298, type, sK222: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_299, type, sK223: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_300, type, sK224: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_301, type, sK225: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_302, type, sK226: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_303, type, sK227: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_304, type, sK228: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_305, type, sK229: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_306, type, sK230: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_307, type, sK231: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_308, type, sK232: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_309, type, sK233: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_310, type, sK234: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_311, type, sK235: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_312, type, sK236: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_313, type, sK237: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_314, type, sK238: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_315, type, sK239: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_316, type, sK240: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_317, type, sK241: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_318, type, sK242: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_319, type, sK243: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_320, type, sK244: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_321, type, sK245: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_322, type, sK246: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_323, type, sK247: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_324, type, sK248: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_325, type, sK249: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_326, type, sK250: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_327, type, sK251: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_328, type, sK252: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_329, type, sK253: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_330, type, sK254: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_331, type, sK255: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_332, type, sK256: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_333, type, sK257: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_334, type, sK258: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_335, type, sK259: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_336, type, sK260: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_337, type, sK261: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_338, type, sK262: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_339, type, sK263: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_340, type, sK264: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_341, type, sK265: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_342, type, sK266: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_343, type, sK267: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_344, type, sK268: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_345, type, sK269: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_346, type, sK270: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_347, type, sK271: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_348, type, sK272: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_349, type, sK273: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_350, type, sK274: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_351, type, sK275: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_352, type, sK276: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_353, type, sK277: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_354, type, sK278: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_355, type, sK279: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_356, type, sK280: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_357, type, sK281: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_358, type, sK282: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_359, type, sK283: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_360, type, sK284: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_361, type, sK285: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_362, type, sK286: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_363, type, sK287: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_364, type, sK288: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_365, type, sK289: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_366, type, sK290: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_367, type, sK291: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 7.12/1.38 thf(func_def_368, type, sK292: !>[X0: $tType]:((set @ X0 > X0))).
% 7.12/1.38 thf(func_def_369, type, sK293: !>[X0: $tType]:(((X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_370, type, sK294: !>[X0: $tType]:(((X0 > $o) > X0))).
% 7.12/1.38 thf(func_def_371, type, sK295: !>[X0: $tType]:((set @ X0 > X0))).
% 7.12/1.38 thf(func_def_372, type, sK296: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_373, type, sK297: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_374, type, sK298: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_375, type, sK299: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_376, type, sK300: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_377, type, sK301: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_378, type, sK302: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_379, type, sK303: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_380, type, sK304: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 7.12/1.38 thf(func_def_381, type, sK305: !>[X0: $tType]:((set @ X0 > X0))).
% 7.12/1.38 thf(f1,axiom,(
% 7.12/1.38 (trans @ b @ (getRel @ a @ b @ i @ g)) & ! [X7 : b,X8 : b] : ((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ X7 @ X8) @ (getRel @ a @ b @ i @ g)) => (member @ product_prod @ b @ b @ (product_Pair @ b @ b @ X8 @ X7) @ (getRel @ a @ b @ i @ g))) & (refl_on @ b @ (labeled_vertices @ a @ b @ g) @ (getRel @ a @ b @ i @ g))),
% 7.12/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062refl__on_A_Ivertices_AG_J_A_IgetRel_AI_AG_J_A_092_060and_062_A_I_092_060forall_062x_Ay_O_A_Ix_M_Ay_J_A_092_060in_062_AgetRel_AI_AG_A_092_060longrightarrow_062_A_Iy_M_Ax_J_A_092_060in_062_AgetRel_AI_AG_J_A_092_060and_062_Atrans_A_IgetRel_AI_AG_J_092_060close_062)).
% 7.12/1.38 thf(f2,axiom,(
% 7.12/1.38 (member @ product_prod @ b @ b @ (product_Pair @ b @ b @ y @ z) @ (getRel @ a @ b @ i @ g))),
% 7.12/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_aI)).
% 7.12/1.38 thf(f279,conjecture,(
% 7.12/1.38 (member @ product_prod @ b @ b @ (product_Pair @ b @ b @ z @ y) @ (getRel @ a @ b @ i @ g))),
% 7.12/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 7.12/1.38 thf(f280,negated_conjecture,(
% 7.12/1.38 ~(member @ product_prod @ b @ b @ (product_Pair @ b @ b @ z @ y) @ (getRel @ a @ b @ i @ g))),
% 7.12/1.38 inference(negated_conjecture,[status(cth)],[f279])).
% 7.12/1.38 thf(f281,plain,(
% 7.12/1.38 (trans @ b @ (getRel @ a @ b @ i @ g)) & ! [X0 : b,X1 : b] : ((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ X0 @ X1) @ (getRel @ a @ b @ i @ g)) => (member @ product_prod @ b @ b @ (product_Pair @ b @ b @ X1 @ X0) @ (getRel @ a @ b @ i @ g))) & (refl_on @ b @ (labeled_vertices @ a @ b @ g) @ (getRel @ a @ b @ i @ g))),
% 7.12/1.38 inference(rectify,[],[f1])).
% 7.12/1.38 thf(f282,plain,(
% 7.12/1.38 (((trans @ b @ (getRel @ a @ b @ i @ g))) = $true) & ! [X0 : b,X1 : b] : ((((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ X0 @ X1) @ (getRel @ a @ b @ i @ g))) = $true) => (((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ X1 @ X0) @ (getRel @ a @ b @ i @ g))) = $true)) & (((refl_on @ b @ (labeled_vertices @ a @ b @ g) @ (getRel @ a @ b @ i @ g))) = $true)),
% 7.12/1.38 inference(fool_elimination,[],[f281])).
% 7.12/1.38 thf(f283,plain,(
% 7.12/1.38 (member @ product_prod @ b @ b @ (product_Pair @ b @ b @ y @ z) @ (getRel @ a @ b @ i @ g))),
% 7.12/1.38 inference(rectify,[],[f2])).
% 7.12/1.38 thf(f284,plain,(
% 7.12/1.38 (((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ y @ z) @ (getRel @ a @ b @ i @ g))) = $true)),
% 7.12/1.38 inference(fool_elimination,[],[f283])).
% 7.12/1.38 thf(f742,plain,(
% 7.12/1.38 ~(member @ product_prod @ b @ b @ (product_Pair @ b @ b @ z @ y) @ (getRel @ a @ b @ i @ g))),
% 7.12/1.38 inference(rectify,[],[f280])).
% 7.12/1.38 thf(f743,plain,(
% 7.12/1.38 ~ (((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ z @ y) @ (getRel @ a @ b @ i @ g))) = $true)),
% 7.12/1.38 inference(fool_elimination,[],[f742])).
% 7.12/1.38 thf(f759,plain,(
% 7.12/1.38 (((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ z @ y) @ (getRel @ a @ b @ i @ g))) != $true)),
% 7.12/1.38 inference(flattening,[],[f743])).
% 7.12/1.38 thf(f760,plain,(
% 7.12/1.38 (((trans @ b @ (getRel @ a @ b @ i @ g))) = $true) & ! [X0 : b,X1 : b] : ((((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ X1 @ X0) @ (getRel @ a @ b @ i @ g))) = $true) | (((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ X0 @ X1) @ (getRel @ a @ b @ i @ g))) != $true)) & (((refl_on @ b @ (labeled_vertices @ a @ b @ g) @ (getRel @ a @ b @ i @ g))) = $true)),
% 7.12/1.38 inference(ennf_transformation,[],[f282])).
% 7.12/1.38 thf(f1079,plain,(
% 7.12/1.38 ( ! [X0 : b,X1 : b] : ((((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ X0 @ X1) @ (getRel @ a @ b @ i @ g))) != $true) | (((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ X1 @ X0) @ (getRel @ a @ b @ i @ g))) = $true)) )),
% 7.12/1.38 inference(cnf_transformation,[],[f760])).
% 7.12/1.38 thf(f1081,plain,(
% 7.12/1.38 (((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ y @ z) @ (getRel @ a @ b @ i @ g))) = $true)),
% 7.12/1.38 inference(cnf_transformation,[],[f284])).
% 7.12/1.38 thf(f1418,plain,(
% 7.12/1.38 (((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ z @ y) @ (getRel @ a @ b @ i @ g))) != $true)),
% 7.12/1.38 inference(cnf_transformation,[],[f759])).
% 7.12/1.38 thf(f9124,plain,(
% 7.12/1.38 ($true != $true) | (((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ z @ y) @ (getRel @ a @ b @ i @ g))) = $true)),
% 7.12/1.38 inference(constrained_superposition,[],[f1079,f1081])).
% 7.12/1.38 thf(f9129,plain,(
% 7.12/1.38 (((member @ product_prod @ b @ b @ (product_Pair @ b @ b @ z @ y) @ (getRel @ a @ b @ i @ g))) = $true)),
% 7.12/1.38 inference(trivial_inequality_removal,[],[f9124])).
% 7.12/1.38 thf(f9133,plain,(
% 7.12/1.38 $false),
% 7.12/1.38 inference(forward_subsumption_resolution,[],[f9129,f1418])).
% 7.12/1.38 % SZS output end Proof for theBenchmark
% 7.12/1.38 % (2142690)------------------------------
% 7.12/1.38 % (2142690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.38 % (2142690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.38 % (2142690)CaDiCaL version: 2.1.3
% 7.12/1.38 % (2142690)Termination reason: Refutation
% 7.12/1.38 % (2142690)Time elapsed: 0.586 s
% 7.12/1.38 % (2142690)Peak memory usage: 20 MB
% 7.12/1.38 % (2142690)Instructions burned: 1144 (million)
% 7.12/1.38 % (2142645)Success in time 1.157 s
% 7.12/1.38 % Vampire exiting
%------------------------------------------------------------------------------