%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP128^2 : 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 : n002.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 08:10:48 AM UTC 2026
% Result : Theorem 8.66s 1.87s
% Output : Refutation 8.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP128^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n002.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Tue Sep 29 20:00:22 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31 Running first-order model finding
% 0.26/0.31 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
% 7.47/1.51 % (1772389)Will run a generic schedule for satisfiability detection.
% 7.47/1.51 % (1772399)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2964812056:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.47/1.51 % (1772395)% WARNING: option uhcvi not known.
% 7.47/1.51 % (1772394)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1150505251_2999 on theBenchmark for (2999ds/0Mi)
% 7.47/1.51 % (1772396)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1190452648:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.47/1.51 % (1772397)dis+10_1_sil=32000:sp=arity:random_seed=1763570207:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.47/1.51 % (1772398)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1298026853:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.47/1.51 % (1772400)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=806545321:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.47/1.51 % (1772395)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2983944724:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.47/1.51 % (1772399)Instruction limit reached!
% 7.47/1.51 % (1772399)------------------------------
% 7.47/1.51 % (1772399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.51 % (1772399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.51 % (1772399)CaDiCaL version: 2.1.3
% 7.47/1.51 % (1772399)Termination reason: Instruction limit
% 7.47/1.51 % (1772399)Termination phase: Property scanning
% 7.47/1.51 % (1772399)Time elapsed: 0.054 s
% 7.47/1.51 % (1772399)Peak memory usage: 12 MB
% 7.47/1.51 % (1772399)Instructions burned: 131 (million)
% 7.47/1.51 % (1772398)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.47/1.51 % (1772395)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.47/1.51 % (1772408)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1777239207:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.47/1.51 % (1772397)Instruction limit reached!
% 7.47/1.51 % (1772397)------------------------------
% 7.47/1.51 % (1772397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.51 % (1772397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.51 % (1772397)CaDiCaL version: 2.1.3
% 7.47/1.51 % (1772397)Termination reason: Instruction limit
% 7.47/1.51 % (1772397)Termination phase: Property scanning
% 7.47/1.51 % (1772397)Time elapsed: 0.082 s
% 7.47/1.51 % (1772397)Peak memory usage: 11 MB
% 7.47/1.51 % (1772397)Instructions burned: 103 (million)
% 7.47/1.51 % (1772398)Instruction limit reached!
% 7.47/1.51 % (1772398)------------------------------
% 7.47/1.51 % (1772398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.51 % (1772398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.51 % (1772398)CaDiCaL version: 2.1.3
% 7.47/1.51 % (1772398)Termination reason: Instruction limit
% 7.47/1.51 % (1772398)Termination phase: Function definition elimination
% 7.47/1.51 % (1772398)Time elapsed: 0.093 s
% 7.47/1.51 % (1772398)Peak memory usage: 12 MB
% 7.47/1.51 % (1772398)Instructions burned: 116 (million)
% 7.47/1.51 % (1772411)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=1009558696:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.47/1.51 % (1772410)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1541988124:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.47/1.51 % (1772400)Instruction limit reached!
% 7.47/1.51 % (1772400)------------------------------
% 7.47/1.51 % (1772400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.51 % (1772400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.51 % (1772400)CaDiCaL version: 2.1.3
% 7.47/1.51 % (1772400)Termination reason: Instruction limit
% 7.47/1.51 % (1772400)Termination phase: Property scanning
% 7.47/1.51 % (1772400)Time elapsed: 0.125 s
% 7.47/1.51 % (1772400)Peak memory usage: 12 MB
% 7.47/1.51 % (1772400)Instructions burned: 160 (million)
% 7.47/1.51 % Exception at run slice level
% 7.47/1.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.47/1.51 % Exception at run slice level
% 7.47/1.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.66/1.87 % (1772395)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.66/1.87 % (1772414)ott-21_1_sil=16000:fs=off:random_seed=842958331:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.66/1.87 % (1772415)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1919335266:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.66/1.87 % (1772411)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.66/1.87 % (1772416)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1767996701:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.66/1.87 % (1772410)Instruction limit reached!
% 8.66/1.87 % (1772410)------------------------------
% 8.66/1.87 % (1772410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.66/1.87 % (1772410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/1.87 % (1772410)CaDiCaL version: 2.1.3
% 8.66/1.87 % (1772410)Termination reason: Instruction limit
% 8.66/1.87 % (1772410)Termination phase: Property scanning
% 8.66/1.87 % (1772410)Time elapsed: 0.104 s
% 8.66/1.87 % (1772410)Peak memory usage: 12 MB
% 8.66/1.87 % (1772410)Instructions burned: 131 (million)
% 8.66/1.87 % (1772414)Instruction limit reached!
% 8.66/1.87 % (1772414)------------------------------
% 8.66/1.87 % (1772414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.66/1.87 % (1772414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/1.87 % (1772414)CaDiCaL version: 2.1.3
% 8.66/1.87 % (1772414)Termination reason: Instruction limit
% 8.66/1.87 % (1772414)Termination phase: Property scanning
% 8.66/1.87 % (1772414)Time elapsed: 0.074 s
% 8.66/1.87 % (1772414)Peak memory usage: 12 MB
% 8.66/1.87 % (1772414)Instructions burned: 182 (million)
% 8.66/1.87 % (1772420)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4130689147:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.66/1.87 % (1772421)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3419321334:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 8.66/1.87 % (1772411)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.66/1.87 % Exception at run slice level
% 8.66/1.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.66/1.87 % (1772424)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=3863047820: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)
% 8.66/1.87 % Exception at run slice level
% 8.66/1.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.66/1.87 % (1772424)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.66/1.87 % (1772426)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=81881499:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 8.66/1.87 % (1772426)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.66/1.87 % (1772415)Instruction limit reached!
% 8.66/1.87 % (1772415)------------------------------
% 8.66/1.87 % (1772415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.66/1.87 % (1772415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/1.87 % (1772415)CaDiCaL version: 2.1.3
% 8.66/1.87 % (1772415)Termination reason: Instruction limit
% 8.66/1.87 % (1772415)Termination phase: Saturation
% 8.66/1.87 % (1772415)Time elapsed: 0.380 s
% 8.66/1.87 % (1772415)Peak memory usage: 15 MB
% 8.66/1.87 % (1772415)Instructions burned: 477 (million)
% 8.66/1.87 % (1772428)fmb+10_1_sil=64000:random_seed=1266876510:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 8.66/1.87 % (1772411)Instruction limit reached!
% 8.66/1.87 % (1772411)------------------------------
% 8.66/1.87 % (1772411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.66/1.87 % (1772411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/1.87 % (1772411)CaDiCaL version: 2.1.3
% 8.66/1.87 % (1772411)Termination reason: Instruction limit
% 8.66/1.87 % (1772411)Termination phase: Saturation
% 8.66/1.87 % (1772411)Time elapsed: 0.539 s
% 8.66/1.87 % (1772411)Peak memory usage: 17 MB
% 8.66/1.87 % (1772411)Instructions burned: 684 (million)
% 8.66/1.87 % (1772428)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.66/1.87 % (1772430)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2571596966:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 8.66/1.87 % Exception at run slice level
% 8.66/1.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.66/1.87 % (1772420)Instruction limit reached!
% 8.66/1.87 % (1772420)------------------------------
% 8.66/1.87 % (1772420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.66/1.87 % (1772420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/1.87 % (1772420)CaDiCaL version: 2.1.3
% 8.66/1.87 % (1772420)Termination reason: Instruction limit
% 8.66/1.87 % (1772420)Termination phase: Saturation
% 8.66/1.87 % (1772420)Time elapsed: 0.482 s
% 8.66/1.87 % (1772420)Peak memory usage: 21 MB
% 8.66/1.87 % (1772420)Instructions burned: 1181 (million)
% 8.66/1.87 % (1772432)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3456996565:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 8.66/1.87 % (1772433)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=553615234:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 8.66/1.87 % Exception at run slice level
% 8.66/1.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.66/1.87 % Exception at run slice level
% 8.66/1.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.66/1.87 % (1772433)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.66/1.87 % (1772437)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1726595565:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 8.66/1.87 % (1772436)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=46490546:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 8.66/1.87 % (1772424)Instruction limit reached!
% 8.66/1.87 % (1772424)------------------------------
% 8.66/1.87 % (1772424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.66/1.87 % (1772424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/1.87 % (1772424)CaDiCaL version: 2.1.3
% 8.66/1.87 % (1772424)Termination reason: Instruction limit
% 8.66/1.87 % (1772424)Termination phase: Saturation
% 8.66/1.87 % (1772424)Time elapsed: 0.544 s
% 8.66/1.87 % (1772424)Peak memory usage: 18 MB
% 8.66/1.87 % (1772424)Instructions burned: 693 (million)
% 8.66/1.87 % (1772440)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=588840501:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 8.66/1.87 % (1772436)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.66/1.87 % (1772436)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.66/1.87 % Exception at run slice level
% 8.66/1.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.66/1.87 % (1772442)ott-2_1_sil=16000:newcnf=on:random_seed=2852045836:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2989 on theBenchmark for (2989ds/869Mi)
% 8.66/1.87 % (1772442)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.66/1.87 % Exception at run slice level
% 8.66/1.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.66/1.87 % (1772426)Instruction limit reached!
% 8.66/1.87 % (1772426)------------------------------
% 8.66/1.87 % (1772426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.66/1.87 % (1772426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/1.87 % (1772426)CaDiCaL version: 2.1.3
% 8.66/1.87 % (1772426)Termination reason: Instruction limit
% 8.66/1.87 % (1772426)Termination phase: Saturation
% 8.66/1.87 % (1772426)Time elapsed: 0.646 s
% 8.66/1.87 % (1772426)Peak memory usage: 18 MB
% 8.66/1.87 % (1772426)Instructions burned: 880 (million)
% 8.66/1.87 % (1772444)ott+10_1_sil=32000:tgt=ground:random_seed=1377200503:i=5114:av=off_2988 on theBenchmark for (2988ds/5114Mi)
% 8.66/1.87 % (1772445)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2487797506:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 8.66/1.87 % Exception at run slice level
% 8.66/1.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.66/1.87 % (1772448)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1208078221:i=3512:aac=none_2986 on theBenchmark for (2986ds/3512Mi)
% 8.66/1.87 % (1772442)Instruction limit reached!
% 8.66/1.87 % (1772442)------------------------------
% 8.66/1.87 % (1772442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.66/1.87 % (1772442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/1.87 % (1772442)CaDiCaL version: 2.1.3
% 8.66/1.87 % (1772442)Termination reason: Instruction limit
% 8.66/1.87 % (1772442)Termination phase: Saturation
% 8.66/1.87 % (1772442)Time elapsed: 0.360 s
% 8.66/1.87 % (1772442)Peak memory usage: 18 MB
% 8.66/1.87 % (1772442)Instructions burned: 869 (million)
% 8.66/1.87 % (1772450)dis+21_1_sil=32000:sas=cadical:random_seed=1604713968:i=3773:amm=off_2985 on theBenchmark for (2985ds/3773Mi)
% 8.66/1.87 % (1772448)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.66/1.87 % (1772395) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1772389-1772395"...
% 8.66/1.87 % (1772436) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1772389-1772436"...
% 8.66/1.87 % (1772436)...printing done.
% 8.66/1.87 % (1772436)Refutation found. Thanks to Tanya!
% 8.66/1.87 % SZS status Theorem for theBenchmark
% 8.66/1.87 % SZS output start Proof for theBenchmark
% 8.66/1.87 thf(type_def_5, type, multiset: $tType > $tType).
% 8.66/1.87 thf(type_def_6, type, fset: $tType > $tType).
% 8.66/1.87 thf(type_def_7, type, set: $tType > $tType).
% 8.66/1.87 thf(type_def_8, type, d: $tType).
% 8.66/1.87 thf(type_def_9, type, c: $tType).
% 8.66/1.87 thf(type_def_10, type, b: $tType).
% 8.66/1.87 thf(type_def_11, type, a: $tType).
% 8.66/1.87 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 8.66/1.87 thf(func_def_0, type, preorder: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_2, type, plus: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_4, type, group_add: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_5, type, semigroup_add: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_6, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_7, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_8, type, comple1141879883l_ccpo: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_9, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_10, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_11, type, comple187826305attice: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_12, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_13, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_14, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o))).
% 8.66/1.87 thf(func_def_15, type, comple939513234o_fixp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 8.66/1.87 thf(func_def_16, type, comple1396247847notone: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > $o))).
% 8.66/1.87 thf(func_def_17, type, ffold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > fset @ X0 > X1))).
% 8.66/1.87 thf(func_def_18, type, finite100568337ommute: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 8.66/1.87 thf(func_def_19, type, finite_comp_fun_idem: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 8.66/1.87 thf(func_def_20, type, finite852775215axioms: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 8.66/1.87 thf(func_def_21, type, finite_fold_graph: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1 > $o))).
% 8.66/1.87 thf(func_def_22, type, finite_folding: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 8.66/1.87 thf(func_def_23, type, finite_folding_idem: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 8.66/1.87 thf(func_def_24, type, finite1921348288axioms: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 8.66/1.87 thf(func_def_25, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 8.66/1.87 thf(func_def_26, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 8.66/1.87 thf(func_def_27, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X1 > X2) > X0 > X3))).
% 8.66/1.87 thf(func_def_28, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 8.66/1.87 thf(func_def_29, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 8.66/1.87 thf(func_def_30, type, fold_mset: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > multiset @ X0 > X1))).
% 8.66/1.87 thf(func_def_31, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 8.66/1.87 thf(func_def_32, type, order_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 8.66/1.87 thf(func_def_33, type, partial_fun_ord: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X2 > X0) > (X2 > X1) > $o))).
% 8.66/1.87 thf(func_def_34, type, bex1_rel: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_35, type, quotient3: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > (X1 > X0) > $o))).
% 8.66/1.87 thf(func_def_36, type, domainp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0 > $o))).
% 8.66/1.87 thf(func_def_37, type, reflp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_38, type, relcompp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > $o))).
% 8.66/1.87 thf(func_def_39, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 8.66/1.87 thf(func_def_40, type, bi_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_41, type, bi_unique: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_42, type, left_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_43, type, left_unique: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_44, type, rev_implies: ($o > $o > $o)).
% 8.66/1.87 thf(func_def_45, type, right_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_46, type, right_unique: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_47, type, transfer_bforall: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_48, type, transfer_forall: !>[X0: $tType]:(((X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_49, type, transitive_rtranclp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > $o))).
% 8.66/1.87 thf(func_def_50, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 8.66/1.87 thf(func_def_51, type, a2: (a > b > $o)).
% 8.66/1.87 thf(func_def_52, type, b2: (c > d > $o)).
% 8.66/1.87 thf(func_def_53, type, f1: (a > c > c)).
% 8.66/1.87 thf(func_def_54, type, f2: (b > d > d)).
% 8.66/1.87 thf(func_def_56, type, vIMP: ($o > $o > $o)).
% 8.66/1.87 thf(func_def_59, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_60, type, db2: !>[X0: $tType]:(X0)).
% 8.66/1.87 thf(func_def_61, type, db0: !>[X0: $tType]:(X0)).
% 8.66/1.87 thf(func_def_62, type, db1: !>[X0: $tType]:(X0)).
% 8.66/1.87 thf(func_def_63, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 8.66/1.87 thf(func_def_64, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 8.66/1.87 thf(func_def_65, type, vAND: ($o > $o > $o)).
% 8.66/1.87 thf(func_def_66, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_67, type, db3: !>[X0: $tType]:(X0)).
% 8.66/1.87 thf(func_def_68, type, db4: !>[X0: $tType]:(X0)).
% 8.66/1.87 thf(func_def_69, type, db6: !>[X0: $tType]:(X0)).
% 8.66/1.87 thf(func_def_70, type, db5: !>[X0: $tType]:(X0)).
% 8.66/1.87 thf(func_def_71, type, sP0: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0 > X0) > (X1 > X0 > X0) > $o))).
% 8.66/1.87 thf(func_def_72, type, sP1: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0 > X0) > (X1 > X0 > X0) > $o))).
% 8.66/1.87 thf(func_def_73, type, sP2: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0) > (X1 > X0) > $o))).
% 8.66/1.87 thf(func_def_74, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0 > X0) > (X2 > X1 > X1) > X2))).
% 8.66/1.87 thf(func_def_75, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0 > X0) > (X2 > X1 > X1) > X0))).
% 8.66/1.87 thf(func_def_76, type, sK5: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 8.66/1.87 thf(func_def_77, type, sK6: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 8.66/1.87 thf(func_def_78, type, sK7: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0 > X0) > (X1 > X0 > X0) > X1))).
% 8.66/1.87 thf(func_def_79, type, sK8: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0 > X0) > (X1 > X0 > X0) > X0))).
% 8.66/1.87 thf(func_def_80, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > set @ X0 > set @ X1 > X1))).
% 8.66/1.87 thf(func_def_81, type, sK10: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > set @ X0 > set @ X1 > X0))).
% 8.66/1.87 thf(func_def_82, type, sK11: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0 > X0) > (X1 > X0 > X0) > X1))).
% 8.66/1.87 thf(func_def_83, type, sK12: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0 > X0) > (X1 > X0 > X0) > X0))).
% 8.66/1.87 thf(func_def_84, type, sK13: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X0 > X1 > X1) > X0))).
% 8.66/1.87 thf(func_def_85, type, sK14: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X0 > X1 > X1) > X1))).
% 8.66/1.87 thf(func_def_86, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X2) > (X0 > X1) > (X1 > X2 > $o) > (X0 > X3 > $o) > X0))).
% 8.66/1.87 thf(func_def_87, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X2) > (X0 > X1) > (X1 > X2 > $o) > (X0 > X3 > $o) > X3))).
% 8.66/1.87 thf(func_def_88, type, sK17: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 8.66/1.87 thf(func_def_89, type, sK18: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_90, type, sK19: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 8.66/1.87 thf(func_def_91, type, sK20: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 8.66/1.87 thf(func_def_92, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 8.66/1.87 thf(func_def_93, type, sK22: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 8.66/1.87 thf(func_def_94, type, sK23: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 8.66/1.87 thf(func_def_95, type, sK24: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 8.66/1.87 thf(func_def_96, type, sK25: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 8.66/1.87 thf(func_def_97, type, sK26: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 8.66/1.87 thf(func_def_98, type, sK27: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_99, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 8.66/1.87 thf(func_def_100, type, sK29: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 8.66/1.87 thf(func_def_101, type, sK30: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 8.66/1.87 thf(func_def_102, type, sK31: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1))).
% 8.66/1.87 thf(func_def_103, type, sK32: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_104, type, sK33: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 8.66/1.87 thf(func_def_105, type, sK34: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_106, type, sK35: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_107, type, sK36: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_108, type, sK37: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_109, type, sK38: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X1 > $o) > (X1 > X0) > X1))).
% 8.66/1.87 thf(func_def_110, type, sK39: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X1 > $o) > (X1 > X0) > X1))).
% 8.66/1.87 thf(func_def_111, type, sK40: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > (X0 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_112, type, sK41: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > (X0 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_113, type, sK42: !>[X0: $tType]:((set @ X0 > set @ X0 > X0 > X0))).
% 8.66/1.87 thf(func_def_114, type, sK43: !>[X0: $tType]:((set @ X0 > set @ X0 > X0 > X0))).
% 8.66/1.87 thf(func_def_115, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > $o) > (X0 > X2 > $o) > (X1 > X0 > $o) > X1))).
% 8.66/1.87 thf(func_def_116, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > $o) > (X0 > X2 > $o) > (X1 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_117, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > $o) > (X0 > X2 > $o) > (X1 > X0 > $o) > X2))).
% 8.66/1.87 thf(func_def_118, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > X0 > (X1 > X2 > $o) > (X0 > X1 > $o) > X1))).
% 8.66/1.87 thf(func_def_119, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > X0 > (X1 > X2 > $o) > (X0 > X1 > $o) > X1))).
% 8.66/1.87 thf(func_def_120, type, sK49: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 8.66/1.87 thf(func_def_121, type, sK50: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 8.66/1.87 thf(func_def_122, type, sK51: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1 > $o) > X1))).
% 8.66/1.87 thf(func_def_123, type, sK52: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X1))).
% 8.66/1.87 thf(func_def_124, type, sK53: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > X0))).
% 8.66/1.87 thf(func_def_125, type, sK54: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_126, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X3 > X0 > (X2 > X3 > $o) > (X0 > X2 > $o) > (X1 > X2) > X1))).
% 8.66/1.87 thf(func_def_127, type, sK56: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_128, type, sK57: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_129, type, sK58: !>[X0: $tType]:((X0 > X0 > X0))).
% 8.66/1.87 thf(func_def_130, type, sK59: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0) > (X1 > X0) > X1))).
% 8.66/1.87 thf(func_def_131, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X0 > X1 > X1))).
% 8.66/1.87 thf(func_def_132, type, sK61: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1))).
% 8.66/1.87 thf(func_def_133, type, sK62: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1))).
% 8.66/1.87 thf(func_def_134, type, sK63: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X1))).
% 8.66/1.87 thf(func_def_135, type, sK64: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X1))).
% 8.66/1.87 thf(func_def_136, type, sK65: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_137, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X1))).
% 8.66/1.87 thf(func_def_138, type, sK67: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_139, type, sK68: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_140, type, sK69: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0 > $o) > X1))).
% 8.66/1.87 thf(func_def_141, type, sK70: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1 > $o) > X1))).
% 8.66/1.87 thf(func_def_142, type, sK71: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X0 > $o) > (X1 > X1 > $o) > X1))).
% 8.66/1.87 thf(func_def_143, type, sK72: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X0 > $o) > (X1 > X1 > $o) > X1))).
% 8.66/1.87 thf(func_def_144, type, sP73: ($o > $o)).
% 8.66/1.87 thf(func_def_145, type, vNOT: ($o > $o)).
% 8.66/1.87 thf(func_def_146, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X0 > X2) > X0))).
% 8.66/1.87 thf(func_def_147, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X0 > X2) > X1 > X2))).
% 8.66/1.87 thf(func_def_148, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X0 > X2) > X0))).
% 8.66/1.87 thf(func_def_149, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X1 > X0) > X1))).
% 8.66/1.87 thf(func_def_150, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X1 > X0) > X1 > X2))).
% 8.66/1.87 thf(func_def_151, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X2 > X1) > (X0 > X1) > X2))).
% 8.66/1.87 thf(func_def_152, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X0 > X1 > $o) > (X5 > X0 > X3) > (X5 > X2 > $o) > (X3 > X4 > $o) > (X2 > X1 > X4) > X2))).
% 8.66/1.87 thf(func_def_153, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X0 > X1 > $o) > (X5 > X0 > X3) > (X5 > X2 > $o) > (X3 > X4 > $o) > (X2 > X1 > X4) > X5))).
% 8.66/1.87 thf(func_def_154, type, sF82: ($o > $o)).
% 8.66/1.87 thf(func_def_155, type, sF83: !>[X0: $tType]:((X0 > X0 > $o > X0))).
% 8.66/1.87 thf(func_def_156, type, sF84: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0) > X1 > X0))).
% 8.66/1.87 thf(func_def_157, type, sF85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > (X0 > X1 > X2 > X3) > X2 > X1 > X3))).
% 8.66/1.87 thf(func_def_158, type, sF86: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1) > ((X0 > X2 > X1) > $o) > $o))).
% 8.66/1.87 thf(func_def_159, type, sF87: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o))).
% 8.66/1.87 thf(func_def_160, type, sF88: !>[X0: $tType, X1: $tType]:((((X0 > X1 > $o) > $o) > (X0 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_161, type, sF89: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X5 > X6 > X4) > (X2 > X3 > X0) > ((X5 > X6 > X4) > (X2 > X3 > X0) > X1) > X1))).
% 8.66/1.87 thf(func_def_162, type, sF90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X3 > X1 > $o) > (X4 > X5 > $o) > (X2 > X0 > $o) > (X4 > X2 > X3) > (X5 > X0 > X1) > $o))).
% 8.66/1.87 thf(func_def_163, type, sF91: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > $o) > ((X0 > X2 > $o) > X1) > X1))).
% 8.66/1.87 thf(func_def_164, type, sF92: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_165, type, sF93: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X0 > $o) > (X1 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_166, type, sF94: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > X0 > X1 > X2))).
% 8.66/1.87 thf(func_def_167, type, sF95: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > X3) > (X2 > X4) > (X1 > X1 > $o) > ((X2 > X4) > (X1 > X1 > $o) > (X2 > X3) > X0) > X0))).
% 8.66/1.87 thf(func_def_168, type, sF96: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X1 > X0) > X1 > X2))).
% 8.66/1.87 thf(func_def_169, type, sF97: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > (X0 > X0 > $o) > ((X0 > X1) > (X1 > X1 > $o) > (X0 > X0 > $o) > X0) > X0))).
% 8.66/1.87 thf(func_def_170, type, sF98: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > ((X0 > X1) > X0) > (X0 > X1) > X2))).
% 8.66/1.87 thf(func_def_171, type, sF99: !>[X0: $tType]:(((X0 > X0) > X0))).
% 8.66/1.87 thf(func_def_172, type, sF100: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_173, type, sF101: !>[X0: $tType, X1: $tType]:(((X0 > X0) > ((X0 > X0) > X1) > X1))).
% 8.66/1.87 thf(func_def_174, type, sF102: !>[X0: $tType, X1: $tType]:((((X0 > X1) > $o) > (X0 > X1) > $o))).
% 8.66/1.87 thf(func_def_175, type, sF103: ($o > $o > $o)).
% 8.66/1.87 thf(func_def_176, type, sF104: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X1 > X2) > X0))).
% 8.66/1.87 thf(func_def_177, type, sF105: !>[X0: $tType]:((X0 > (X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_178, type, sF106: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_179, type, sF107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((((X2 > X3) > X0) > ((X4 > X5) > ((X2 > X3) > X0) > X1) > (X4 > X5) > X1))).
% 8.66/1.87 thf(func_def_180, type, sF108: !>[X0: $tType, X1: $tType]:(((X0 > X0) > (X0 > X1) > ((X0 > X0 > $o) > (X0 > X1) > (X0 > X0) > $o) > $o))).
% 8.66/1.87 thf(func_def_181, type, sF109: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType]:((((X4 > X6 > $o) > (X5 > X7 > $o) > X1 > X8 > $o) > (X4 > X6 > $o) > (X2 > X9 > $o) > (X9 > X3 > $o) > ((X1 > X8 > $o) > (X2 > X3 > $o) > X0) > (X5 > X7 > $o) > X0))).
% 8.66/1.87 thf(func_def_182, type, sF110: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > $o) > (X0 > X1 > $o) > X0 > X2 > $o))).
% 8.66/1.87 thf(func_def_183, type, sF111: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType]:(((X2 > X3 > $o) > ((X4 > X5 > $o) > (X2 > X3 > $o) > (X0 > X1) > (X6 > X7) > $o) > (X4 > X5 > $o) > (X0 > X1) > (X6 > X7) > $o))).
% 8.66/1.87 thf(func_def_184, type, sF112: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > (X0 > X2 > $o) > X2 > (X1 > X3 > $o) > $o))).
% 8.66/1.87 thf(func_def_185, type, sF113: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_186, type, sF114: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_187, type, sF115: !>[X0: $tType]:((((X0 > X0 > $o) > $o) > $o))).
% 8.66/1.87 thf(func_def_188, type, sF116: !>[X0: $tType]:((X0 > (X0 > X0) > X0))).
% 8.66/1.87 thf(func_def_189, type, sF117: !>[X0: $tType]:((set @ X0 > set @ X0 > X0 > $o))).
% 8.66/1.87 thf(func_def_190, type, sF118: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X0 > (set @ X0 > set @ X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_191, type, sF119: !>[X0: $tType]:((set @ X0 > set @ X0 > $o))).
% 8.66/1.87 thf(func_def_192, type, sF120: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0))).
% 8.66/1.87 thf(func_def_193, type, sF121: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((((X0 > X1 > $o) > (X2 > X4 > $o) > X3) > (X2 > X4 > $o) > (X0 > X1 > $o) > X3))).
% 8.66/1.87 thf(func_def_194, type, sF122: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0 > $o) > ((X1 > X0 > $o) > (X2 > X2 > $o) > X3) > (X2 > X2 > $o) > X3))).
% 8.66/1.87 thf(func_def_195, type, sF123: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((X2 > X4 > (X0 > X1) > (X4 > (X0 > X1) > X2 > X3) > X3))).
% 8.66/1.87 thf(func_def_196, type, sF124: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > X3) > X4 > (X0 > X1) > (X4 > (X0 > X1) > (X2 > X3) > $o) > $o))).
% 8.66/1.87 thf(func_def_197, type, sF125: !>[X0: $tType, X1: $tType]:((((X1 > X1 > $o) > (X0 > X1) > X0 > X0) > (X1 > X1 > $o) > X0 > (X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_198, type, sF126: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > (X0 > X1) > X0 > ((X1 > X1 > $o) > (X0 > X1) > X0 > X0) > X0))).
% 8.66/1.87 thf(func_def_199, type, sF127: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X1 > X2) > X0 > ((X3 > X4) > X0 > X1 > X1) > X1 > (X3 > X4) > X2))).
% 8.66/1.87 thf(func_def_200, type, sF128: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0) > ((X1 > X0) > X3 > X2 > X2) > X2 > X3 > X2))).
% 8.66/1.87 thf(func_def_201, type, sF129: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1) > X1 > (X0 > X1) > X0))).
% 8.66/1.87 thf(func_def_202, type, sF130: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > (X0 > X1) > (X0 > X1) > X1 > X1))).
% 8.66/1.87 thf(func_def_203, type, sF131: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2 > (X1 > X2) > (X1 > X2) > (X2 > X1 > (X1 > X2) > (X1 > X2) > X0) > X0))).
% 8.66/1.87 thf(func_def_204, type, sF132: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_205, type, sF133: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1) > X1 > (X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_206, type, sF134: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_207, type, sF135: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > $o) > (X1 > X0) > (X1 > X2) > $o))).
% 8.66/1.87 thf(func_def_208, type, sF136: !>[X0: $tType]:((X0 > X0 > $o))).
% 8.66/1.87 thf(func_def_209, type, sF137: !>[X0: $tType]:((X0 > X0 > X0))).
% 8.66/1.87 thf(func_def_210, type, sF138: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_211, type, sF139: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_212, type, sF140: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > ((X0 > X0 > $o) > (X0 > X0 > $o) > X1) > X1))).
% 8.66/1.87 thf(func_def_213, type, sF141: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((X2 > (X1 > X4 > $o) > (X5 > (X1 > X4 > $o) > X0 > X2 > X3) > X0 > X5 > X3))).
% 8.66/1.87 thf(func_def_214, type, sF142: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > ((X0 > X2) > X1) > X1))).
% 8.66/1.87 thf(func_def_215, type, sF143: !>[X0: $tType, X1: $tType]:((((X0 > X1) > X1) > (X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_216, type, sF144: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > X0) > X1) > (X1 > X3) > (X2 > X0) > X3))).
% 8.66/1.87 thf(func_def_217, type, sF145: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X1 > X3 > $o) > X2 > X0) > (X1 > X3 > $o) > X2 > X0))).
% 8.66/1.87 thf(func_def_218, type, sF146: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_219, type, sF147: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((((X0 > X1) > (X2 > X4) > X3) > (X2 > X4) > (X0 > X1) > X3))).
% 8.66/1.87 thf(func_def_220, type, sF148: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X0 > X1 > X1))).
% 8.66/1.87 thf(func_def_221, type, sF149: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > $o))).
% 8.66/1.87 thf(func_def_222, type, sF150: !>[X0: $tType, X1: $tType]:((((X0 > X1 > X1) > X0) > (X0 > X1 > X1) > X1 > X1))).
% 8.66/1.87 thf(func_def_223, type, sF151: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > ((X0 > X1 > X1) > X0) > X0))).
% 8.66/1.87 thf(func_def_224, type, sF152: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X2) > (X1 > X0) > X1 > X2 > X2))).
% 8.66/1.87 thf(func_def_225, type, sF153: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X3 > X1) > ((X4 > X2 > X0) > X3) > (X4 > X2 > X0) > X1))).
% 8.66/1.87 thf(func_def_226, type, sF154: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > ((X0 > X0 > $o) > X1) > X1))).
% 8.66/1.87 thf(func_def_227, type, sF155: !>[X0: $tType, X1: $tType]:((((X0 > X1 > X1) > $o) > (X0 > X1 > X1) > $o))).
% 8.66/1.87 thf(func_def_228, type, sF156: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((X0 > X4 > X2 > X1 > (X4 > X1 > X0 > X2 > X3) > X3))).
% 8.66/1.87 thf(func_def_229, type, sF157: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2 > X0))).
% 8.66/1.87 thf(func_def_230, type, sF158: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((X2 > (X1 > X4 > $o) > X0 > ((X1 > X4 > $o) > X0 > X2 > X3) > X3))).
% 8.66/1.87 thf(func_def_231, type, sF159: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0 > $o) > ((X1 > X0 > $o) > (X3 > X0 > $o) > (X1 > X3 > $o) > X2) > (X1 > X3 > $o) > (X3 > X0 > $o) > X2))).
% 8.66/1.87 thf(func_def_232, type, sF160: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1 > X0 > X0))).
% 8.66/1.87 thf(func_def_233, type, sF161: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > X2 > X1) > X2 > X1))).
% 8.66/1.87 thf(func_def_234, type, sF162: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0 > X0) > X0))).
% 8.66/1.87 thf(func_def_235, type, sF163: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > set @ X1 > X2) > X0 > set @ X1 > X2))).
% 8.66/1.87 thf(func_def_236, type, sF164: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0 > X0 > $o))).
% 8.66/1.87 thf(func_def_237, type, sF165: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X2 > X1) > X0 > X1))).
% 8.66/1.87 thf(func_def_238, type, sF166: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > ((X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > (X0 > X0 > $o) > X0) > (X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_239, type, sF167: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > (X1 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_240, type, sF168: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X4 > X3) > (X2 > X5) > (X1 > X6) > ((X4 > X3) > (X2 > X5) > X2 > X3) > ((X1 > X6) > (X2 > X3) > X0) > X0))).
% 8.66/1.87 thf(func_def_241, type, sF169: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X2) > ((X0 > X2) > (X1 > X3) > X1 > X2) > (X1 > X3) > X1 > X2))).
% 8.66/1.87 thf(func_def_242, type, sF170: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > (X0 > X0 > $o) > (X0 > X1) > ((X1 > X1 > $o) > (X0 > X0 > $o) > (X0 > X1) > X0) > X0))).
% 8.66/1.87 thf(func_def_243, type, sF171: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X1 > X4) > ((X5 > X5 > $o) > (X1 > X4) > (X2 > X3) > X0) > (X2 > X3) > (X5 > X5 > $o) > X0))).
% 8.66/1.87 thf(func_def_244, type, sF172: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_245, type, sF173: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X1 > X2) > (X5 > X3) > (X0 > X4) > ((X5 > X3) > (X0 > X4) > X1) > X2))).
% 8.66/1.87 thf(func_def_246, type, sF174: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X1 > X2) > (X1 > X3) > ((X4 > X4 > $o) > (X1 > X3) > (X1 > X0) > X1) > (X1 > X0) > (X4 > X4 > $o) > X2))).
% 8.66/1.87 thf(func_def_247, type, sF175: !>[X0: $tType, X1: $tType]:((((X1 > X1 > $o) > (X0 > X0 > $o) > (X0 > X1) > X0) > (X1 > X1 > $o) > (X0 > X0 > $o) > (X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_248, type, sF176: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X1 > X2) > (X5 > X3) > (X0 > X4 > $o) > ((X5 > X3) > (X0 > X4 > $o) > X1) > X2))).
% 8.66/1.87 thf(func_def_249, type, sF177: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > X3 > $o) > ((X4 > X5 > $o) > (X2 > X3 > $o) > X0 > X1 > $o) > (X4 > X5 > $o) > X0 > X1 > $o))).
% 8.66/1.87 thf(func_def_250, type, sF178: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:(((X5 > X6 > X4) > ((X2 > X3) > (X0 > X1) > X7) > ((X5 > X6 > X4) > ((X2 > X3) > (X0 > X1) > X7) > X8) > X8))).
% 8.66/1.87 thf(func_def_251, type, sF179: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2 > $o) > (X1 > X3 > $o) > $o))).
% 8.66/1.87 thf(func_def_252, type, sF180: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > $o) > (X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_253, type, sF181: !>[X0: $tType]:((set @ X0 > X0 > $o))).
% 8.66/1.87 thf(func_def_254, type, sF182: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > X3) > ((X4 > X5) > (X2 > X3) > X0 > X1) > (X4 > X5) > X0 > X1))).
% 8.66/1.87 thf(func_def_255, type, sF183: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0) > (X2 > X3) > (X0 > X2) > X1 > X3))).
% 8.66/1.87 thf(func_def_256, type, sF184: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X2) > ((X3 > X2) > (X1 > X3) > X0 > X2) > (X1 > X3) > X0 > X2))).
% 8.66/1.87 thf(func_def_257, type, sF185: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > (X0 > $o) > ((X0 > $o) > (X0 > $o) > (X0 > X0 > $o) > X0) > X0))).
% 8.66/1.87 thf(func_def_258, type, sF186: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_259, type, sF187: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > X0 > $o) > ((X0 > $o) > (X0 > $o) > (X0 > X0 > $o) > X0) > (X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_260, type, sF188: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0) > ((X1 > X0) > (X1 > X3) > X2) > (X1 > X3) > X2))).
% 8.66/1.87 thf(func_def_261, type, sF189: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > multiset @ X0))).
% 8.66/1.87 thf(func_def_262, type, sF190: !>[X0: $tType]:((X0 > X0 > X0))).
% 8.66/1.87 thf(func_def_263, type, sF191: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X1 > X3 > X2) > X0) > (X1 > X3 > X2) > X0))).
% 8.66/1.87 thf(func_def_264, type, sF192: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_265, type, sF193: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType]:(((X2 > X3) > ((X4 > X5) > (X2 > X3) > (X0 > X1) > X6 > X7) > (X4 > X5) > (X0 > X1) > X6 > X7))).
% 8.66/1.87 thf(func_def_266, type, sF194: !>[X0: $tType, X1: $tType]:((multiset @ X0 > X1 > (X0 > X1 > X1) > X1))).
% 8.66/1.87 thf(func_def_267, type, sF195: !>[X0: $tType, X1: $tType]:((multiset @ X0 > X1 > (X1 > multiset @ X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_268, type, sF196: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X6 > X4) > (X2 > X3) > ((X6 > X4) > (X2 > X3) > (X0 > X2) > X1 > X5) > (X0 > X2) > X1 > X5))).
% 8.66/1.87 thf(func_def_269, type, sF197: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 8.66/1.87 thf(func_def_270, type, sF198: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X0 > X0))).
% 8.66/1.87 thf(func_def_271, type, sF199: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_272, type, sF200: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > X1 > (X1 > X2) > X0))).
% 8.66/1.87 thf(func_def_273, type, sF201: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X3 > $o) > ((X3 > X3 > $o) > (X1 > X0) > (X2 > X3) > $o) > (X2 > X3) > (X1 > X0) > $o))).
% 8.66/1.87 thf(func_def_274, type, sF202: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X0))).
% 8.66/1.87 thf(func_def_275, type, sF203: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1))).
% 8.66/1.87 thf(func_def_276, type, sF204: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_277, type, sF205: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > ((X0 > X0 > $o) > (X0 > X1) > X0) > (X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_278, type, sF206: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X0 > $o) > ((X0 > X0 > $o) > (X0 > X1) > X0) > X0))).
% 8.66/1.87 thf(func_def_279, type, sF207: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 8.66/1.87 thf(func_def_280, type, sF208: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X1 > X2) > (X0 > X3) > ((X1 > X4) > (X0 > X3) > X1) > (X1 > X4) > X2))).
% 8.66/1.87 thf(func_def_281, type, sF209: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 8.66/1.87 thf(func_def_282, type, sF210: !>[X0: $tType]:((X0 > (X0 > X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_283, type, sF211: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > (X1 > X0) > X1))).
% 8.66/1.87 thf(func_def_284, type, sF212: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X3 > $o) > (X1 > X2 > $o) > (X2 > X3) > (X1 > X0) > $o))).
% 8.66/1.87 thf(func_def_285, type, sF213: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X1 > $o) > (X1 > X0) > (X1 > X0) > $o))).
% 8.66/1.87 thf(func_def_286, type, sF214: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X0 > X1) > ((X4 > X5) > (X0 > X1) > X2 > X3) > X2 > (X4 > X5) > X3))).
% 8.66/1.87 thf(func_def_287, type, sF215: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0) > ((X1 > X0) > X2 > X3) > X2 > X3))).
% 8.66/1.87 thf(func_def_288, type, sF216: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > X2) > (X1 > X0) > X1) > (X1 > X0) > (X1 > X2) > X2))).
% 8.66/1.87 thf(func_def_289, type, sF217: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > X0) > (X1 > X2) > X1) > (X1 > X0) > (X1 > X2) > X2))).
% 8.66/1.87 thf(func_def_290, type, sF218: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X1 > X2) > (X0 > X3) > ((X4 > X3) > (X0 > X3) > X1) > (X4 > X3) > X2))).
% 8.66/1.87 thf(func_def_291, type, sF219: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X3) > ((X0 > X3) > (X1 > X3) > X2) > (X1 > X3) > X2))).
% 8.66/1.87 thf(func_def_292, type, sF220: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType]:(((X2 > X3 > X0) > ((X6 > (X7 > X4) > X5) > (X2 > X3 > X0) > X1) > (X6 > (X7 > X4) > X5) > X1))).
% 8.66/1.87 thf(func_def_293, type, sF221: !>[X0: $tType, X1: $tType]:(((X0 > X1) > ((X0 > X1) > (X0 > X1) > X0) > (X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_294, type, sF222: !>[X0: $tType, X1: $tType]:((((X0 > $o) > X1) > (X0 > $o) > X1))).
% 8.66/1.87 thf(func_def_295, type, sF223: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_296, type, sF224: !>[X0: $tType, X1: $tType]:(((X1 > $o) > ((X1 > $o) > X0) > (X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_297, type, sF225: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 8.66/1.87 thf(func_def_298, type, sF226: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > $o) > (X0 > X2 > $o) > X1) > (X0 > X2 > $o) > (X0 > X2 > $o) > X1))).
% 8.66/1.87 thf(func_def_299, type, sF227: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 8.66/1.87 thf(func_def_300, type, sF228: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType]:(((X6 > X7 > X5) > ((X6 > X7 > X5) > ((X2 > X4) > (X0 > X1) > X8) > X9) > ((X3 > X3 > $o) > (X2 > X4) > (X0 > X1) > X8) > X9))).
% 8.66/1.87 thf(func_def_301, type, sF229: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((((X4 > X6 > $o) > (X3 > X1) > (X2 > X0) > X5) > (X4 > X6 > $o) > (X3 > X1) > (X2 > X0) > X5))).
% 8.66/1.87 thf(func_def_302, type, sF230: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 8.66/1.87 thf(func_def_303, type, sF231: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X0 > X0))).
% 8.66/1.87 thf(func_def_304, type, sF232: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X2) > ((X0 > X2 > X2) > X1) > X1))).
% 8.66/1.87 thf(func_def_305, type, sF233: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > $o))).
% 8.66/1.87 thf(func_def_306, type, sF234: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X6 > X2 > $o) > (X5 > X0 > $o) > (X4 > X3 > $o) > (X6 > X4 > X5) > ((X4 > X3 > $o) > (X6 > X4 > X5) > (X6 > X2 > $o) > (X5 > X0 > $o) > (X2 > X3 > X0) > X1) > (X2 > X3 > X0) > X1))).
% 8.66/1.87 thf(func_def_307, type, sF235: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType]:(((X1 > X2 > X0) > (X5 > X3 > $o) > (X6 > X7 > X4) > ((X5 > X3 > $o) > (X6 > X7 > X4) > X1) > X2 > X0))).
% 8.66/1.87 thf(func_def_308, type, sF236: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > X3 > X0) > ((X2 > X4 > X5) > (X2 > X3 > X0) > X1) > (X2 > X4 > X5) > X1))).
% 8.66/1.87 thf(func_def_309, type, sF237: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X1 > X4 > $o) > (X3 > X4) > (X2 > X3 > $o) > (X2 > X1) > ((X3 > X4) > (X2 > X1) > (X1 > X4 > $o) > (X2 > X3 > $o) > X0) > X0))).
% 8.66/1.87 thf(func_def_310, type, sF238: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X1 > X2) > (X5 > X3 > $o) > (X0 > X4 > $o) > (X4 > X3) > (X0 > X5) > ((X4 > X3) > (X0 > X5) > (X5 > X3 > $o) > (X0 > X4 > $o) > X1) > X2))).
% 8.66/1.87 thf(func_def_311, type, sF239: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 8.66/1.87 thf(func_def_312, type, sF240: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X2 > X0 > X3 > (X1 > X0 > X3 > X2 > $o) > X1 > $o))).
% 8.66/1.87 thf(func_def_313, type, sF241: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X0 > X1 > X2) > X3 > (X4 > X3 > X0) > X1 > X4 > X2))).
% 8.66/1.87 thf(func_def_314, type, sF242: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > set @ X2 > (X1 > X2 > X2) > (set @ X2 > set @ X1 > (X1 > X2 > X2) > X0) > X0))).
% 8.66/1.87 thf(func_def_315, type, sF243: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > set @ X1 > (X1 > X2 > X2) > (X1 > X2 > X2) > (set @ X1 > set @ X2 > (X1 > X2 > X2) > (X1 > X2 > X2) > X0) > X0))).
% 8.66/1.87 thf(func_def_316, type, sF244: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > (X0 > X1 > X1) > X1 > $o))).
% 8.66/1.87 thf(func_def_317, type, sF245: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2) > (X0 > X2) > X1) > (X0 > X2) > (X0 > X2) > X1))).
% 8.66/1.87 thf(func_def_318, type, sF246: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > $o))).
% 8.66/1.87 thf(func_def_319, type, sF247: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X3 > X2) > (X2 > X0) > X1 > X3 > X0))).
% 8.66/1.87 thf(func_def_320, type, sF248: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X3) > ((X0 > X3) > (X1 > X0 > X0) > (X1 > X3 > X3) > X2) > (X1 > X3 > X3) > (X1 > X0 > X0) > X2))).
% 8.66/1.87 thf(func_def_321, type, sF249: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 8.66/1.87 thf(func_def_322, type, sF250: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > d > X3) > ((X1 > X4 > X5) > (X2 > d > X3) > X0) > (X1 > X4 > X5) > X0))).
% 8.66/1.87 thf(func_def_323, type, sF251: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X5 > X0) > X5 > (X4 > X6) > (X3 > X1) > X2 > X0))).
% 8.66/1.87 thf(func_def_324, type, sF252: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > $o) > X0 > X2 > X1 > $o))).
% 8.66/1.87 thf(func_def_325, type, sF253: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2 > X0 > X1 > (X0 > X2 > $o) > $o))).
% 8.66/1.87 thf(func_def_326, type, sF254: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > $o) > (X0 > X3 > $o) > $o))).
% 8.66/1.87 thf(func_def_327, type, sF255: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > (X1 > $o) > (X0 > X2 > X2) > $o))).
% 8.66/1.87 thf(func_def_328, type, sF256: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X1 > X2 > $o) > X0))).
% 8.66/1.87 thf(func_def_329, type, sF257: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X1 > (X0 > X3 > X2) > X1))).
% 8.66/1.87 thf(func_def_330, type, sF258: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > (X3 > X0 > X2) > X1) > X1 > (X3 > X0 > X2) > X1))).
% 8.66/1.87 thf(func_def_331, type, sF259: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X1 > $o) > (X3 > X2 > X0) > $o) > (X1 > $o) > (X3 > X2 > X0) > $o))).
% 8.66/1.87 thf(func_def_332, type, sF260: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > $o) > X0 > (X1 > X3 > X2) > $o))).
% 8.66/1.87 thf(func_def_333, type, sF261: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > (X0 > X1 > X2 > X3 > $o) > X2 > X1 > X3 > $o))).
% 8.66/1.87 thf(func_def_334, type, sF262: !>[X0: $tType, X1: $tType]:(((X1 > $o) > X1 > X0 > $o))).
% 8.66/1.87 thf(func_def_335, type, sF263: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > X0) > X1 > X2) > (X1 > X0) > X1 > X2))).
% 8.66/1.87 thf(func_def_336, type, sF264: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((X2 > (X1 > X4) > X0 > ((X1 > X4) > X0 > X2 > X3) > X3))).
% 8.66/1.87 thf(func_def_337, type, sF265: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > (X0 > (X1 > X3) > X2) > (X1 > X3) > X2))).
% 8.66/1.87 thf(func_def_338, type, sF266: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((X2 > (X1 > X4 > X4) > X0 > ((X1 > X4 > X4) > X0 > X2 > X3) > X3))).
% 8.66/1.87 thf(func_def_339, type, sF267: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > X3 > X0) > set @ X5 > (set @ X4 > set @ X5 > (X4 > X5 > X5) > (X2 > X3 > X0) > X1) > (X4 > X5 > X5) > set @ X4 > X1))).
% 8.66/1.87 thf(func_def_340, type, sF268: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType]:((((X4 > X6) > (X5 > X7) > (X8 > X9) > (X2 > X3 > X0) > X1) > (X4 > X6) > (X2 > X3 > X0) > (X5 > X7) > (X8 > X9) > X1))).
% 8.66/1.87 thf(func_def_341, type, sF269: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0) > ((X1 > X0) > (X2 > $o) > X3) > (X2 > $o) > X3))).
% 8.66/1.87 thf(func_def_342, type, sF270: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X1 > (X5 > X6) > X4) > (X2 > X3) > ((X1 > (X5 > X6) > X4) > (X2 > X3) > X0) > X0))).
% 8.66/1.87 thf(func_def_343, type, sF271: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > X1) > (X2 > X3) > X2) > (X2 > X0) > (X2 > X1) > (X2 > X3) > X0))).
% 8.66/1.87 thf(func_def_344, type, sF272: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType]:(((X6 > X7 > $o) > (X0 > X1) > ((X4 > X5 > $o) > (X6 > X7 > $o) > (X0 > X1) > (X2 > X3) > $o) > (X4 > X5 > $o) > (X2 > X3) > $o))).
% 8.66/1.87 thf(func_def_345, type, sF273: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((X1 > ((X4 > X5) > X1 > (X2 > X3) > X0) > (X2 > X3) > (X4 > X5) > X0))).
% 8.66/1.87 thf(func_def_346, type, sF274: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > X1 > $o) > (X0 > X2) > X1) > (X1 > X1 > $o) > (X0 > X2) > X1))).
% 8.66/1.87 thf(func_def_347, type, sF275: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > X3) > ((X1 > X4 > X5) > (X2 > X3) > X0) > (X1 > X4 > X5) > X0))).
% 8.66/1.87 thf(func_def_348, type, sF276: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > ((X1 > X0) > (X0 > X1) > X1) > X1))).
% 8.66/1.87 thf(func_def_349, type, sF277: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > ((X1 > X1 > $o) > (X0 > X1) > X0) > X0))).
% 8.66/1.87 thf(func_def_350, type, sF278: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X0 > $o) > (X1 > X2) > X1) > (X0 > X0 > $o) > (X1 > X2) > X2))).
% 8.66/1.87 thf(func_def_351, type, sF279: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > X2 > $o) > (X0 > X2) > X1) > (X2 > X2 > $o) > (X0 > X2) > X1))).
% 8.66/1.87 thf(func_def_352, type, sF280: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X2 > X3) > (X5 > X6 > X4) > (X0 > X1) > ((X5 > X6 > X4) > (X0 > X1) > (X2 > X3) > $o) > $o))).
% 8.66/1.87 thf(func_def_353, type, sF281: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X1 > X3 > X2) > X0 > X2) > (X1 > X3 > X2) > X0 > X2))).
% 8.66/1.87 thf(func_def_354, type, sF282: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0 > X1) > X1))).
% 8.66/1.87 thf(func_def_355, type, sF283: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X1 > X0 > (X3 > X2) > X1))).
% 8.66/1.87 thf(func_def_356, type, sF284: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > (multiset @ X0 > multiset @ X0 > multiset @ X0) > multiset @ X0))).
% 8.66/1.87 thf(func_def_357, type, sF285: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > X0) > (X1 > X2) > $o) > (X1 > X0) > (X1 > X2) > $o))).
% 8.66/1.87 thf(func_def_358, type, sF286: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > $o) > ((X0 > $o) > (X1 > X1 > X3) > X2) > (X1 > X1 > X3) > X2))).
% 8.66/1.87 thf(func_def_359, type, sF287: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X2 > X3) > (X6 > X4) > (X1 > X5) > ((X6 > X4) > (X1 > X5) > (X2 > X3) > X0) > X0))).
% 8.66/1.87 thf(func_def_360, type, sF288: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > X3 > X0) > ((X4 > X5 > $o) > (X2 > X3 > X0) > X1) > (X4 > X5 > $o) > X1))).
% 8.66/1.87 thf(func_def_361, type, sF289: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType]:(((X1 > X6) > (X2 > X3) > ((X7 > X4 > X5) > (X1 > X6) > (X2 > X3) > X0) > (X7 > X4 > X5) > X0))).
% 8.66/1.87 thf(func_def_362, type, sF290: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:(((X6 > X4) > (X7 > X8 > X5) > ((X6 > X4) > (X7 > X8 > X5) > (X0 > X1) > (X2 > X2 > $o) > X3) > (X0 > X1) > (X2 > X2 > $o) > X3))).
% 8.66/1.87 thf(func_def_363, type, sF291: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType]:(((X1 > X6 > X7) > (X2 > X3) > ((X4 > X5) > (X1 > X6 > X7) > (X2 > X3) > X0) > (X4 > X5) > X0))).
% 8.66/1.87 thf(func_def_364, type, sF292: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X0 > X1) > ((X4 > X5) > (X0 > X1) > (X2 > X3) > $o) > (X2 > X3) > (X4 > X5) > $o))).
% 8.66/1.87 thf(func_def_365, type, sF293: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > X2 > $o) > (X0 > X1 > X4) > ((X5 > X5 > $o) > (X0 > X1 > X4) > (X2 > X3) > (X2 > X2 > $o) > X2) > (X2 > X3) > (X5 > X5 > $o) > X2))).
% 8.66/1.87 thf(func_def_366, type, sF294: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > ((X0 > X0 > $o) > (X0 > X0 > $o) > X0 > X0 > $o) > X0 > X0 > $o))).
% 8.66/1.87 thf(func_def_367, type, sF295: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType]:(((X1 > X6 > $o) > (X2 > X3 > $o) > ((X7 > X4 > X5) > (X1 > X6 > $o) > (X2 > X3 > $o) > X0) > (X7 > X4 > X5) > X0))).
% 8.66/1.87 thf(func_def_368, type, sF296: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((X0 > X2 > X4 > (X1 > X5 > X6) > (X4 > (X1 > X5 > X6) > X0 > X2 > X3) > X3))).
% 8.66/1.87 thf(func_def_369, type, sF297: !>[X0: $tType]:(((X0 > X0 > $o) > ((X0 > X0 > $o) > $o) > $o))).
% 8.66/1.87 thf(func_def_370, type, sF298: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > X0) > X0))).
% 8.66/1.87 thf(func_def_371, type, sF299: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > ((X0 > X1 > $o) > (X0 > X1 > $o) > $o) > $o))).
% 8.66/1.87 thf(func_def_372, type, sF300: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X1 > (X1 > X0 > (X1 > X3) > X2) > (X1 > X3) > X0 > X2))).
% 8.66/1.87 thf(func_def_373, type, sF301: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((X2 > X4 > (X5 > X4 > (X0 > X1) > X2 > X3) > (X0 > X1) > X5 > X3))).
% 8.66/1.87 thf(func_def_374, type, sF302: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((X0 > X4 > (X2 > X3) > X1 > (X4 > X1 > X0 > (X2 > X3) > X2) > X2))).
% 8.66/1.87 thf(func_def_375, type, sF303: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X1 > X2) > X3 > (X4 > X3 > X0 > X1) > X0 > X4 > X2))).
% 8.66/1.87 thf(func_def_376, type, sF304: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X0 > $o) > ((X0 > X0 > $o) > X1 > X2 > X3) > X2 > X1 > X3))).
% 8.66/1.87 thf(func_def_377, type, sF305: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X3 > X0) > X1 > (X2 > (X3 > X0) > X1 > X4) > X2 > (X1 > X2 > (X3 > X0) > (X2 > (X3 > X0) > X1 > X4) > X4) > X4))).
% 8.66/1.87 thf(func_def_378, type, sF306: !>[X0: $tType]:((set @ X0 > set @ X0 > (set @ X0 > set @ X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_379, type, sF307: !>[X0: $tType, X1: $tType, X2: $tType]:(((set @ X0 > X1 > X2) > set @ X0 > X1 > X2))).
% 8.66/1.87 thf(func_def_380, type, sF308: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType]:(((X6 > X7 > X4) > X2 > (X5 > (X6 > X7 > X4) > X2 > (X3 > X0) > X1) > X5 > (X3 > X0) > X1))).
% 8.66/1.87 thf(func_def_381, type, sF309: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > X3 > $o) > ((X1 > X4 > X5) > (X2 > X3 > $o) > X0) > (X1 > X4 > X5) > X0))).
% 8.66/1.87 thf(func_def_382, type, sF310: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X1 > X2) > X0 > ((X3 > X4) > X0 > X1) > (X3 > X4) > X2))).
% 8.66/1.87 thf(func_def_383, type, sF311: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > X3) > (X0 > X4) > (X0 > X1) > ((X0 > X4) > (X0 > X1) > (X2 > X3) > $o) > $o))).
% 8.66/1.87 thf(func_def_384, type, sF312: !>[X0: $tType]:(((X0 > X0) > ((X0 > X0) > X0) > X0))).
% 8.66/1.87 thf(func_def_385, type, sF313: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X2 > X3 > X0) > (X6 > X4) > (X5 > X5 > $o) > ((X6 > X4) > (X5 > X5 > $o) > (X2 > X3 > X0) > X1) > X1))).
% 8.66/1.87 thf(func_def_386, type, sF314: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > X0) > ((X2 > X0) > (X1 > X1 > $o) > (X2 > X3) > $o) > (X2 > X3) > (X1 > X1 > $o) > $o))).
% 8.66/1.87 thf(func_def_387, type, sF315: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > (X0 > X2) > X1) > X0 > (X0 > X2) > X1))).
% 8.66/1.87 thf(func_def_388, type, sF316: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > (X3 > X2) > X0) > X1 > (X3 > X2) > X0))).
% 8.66/1.87 thf(func_def_389, type, sF317: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((((X0 > X1) > (X2 > X4 > $o) > X3) > (X2 > X4 > $o) > (X0 > X1) > X3))).
% 8.66/1.87 thf(func_def_390, type, sF318: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > X0 > X1 > (X0 > X2 > X1 > X2) > X2))).
% 8.66/1.87 thf(func_def_391, type, sF319: (($o > $o) > $o > $o)).
% 8.66/1.87 thf(func_def_392, type, sF320: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X3 > X5 > $o) > ((X3 > X5 > $o) > (X2 > X4) > (X1 > X0) > $o) > (X2 > X4) > (X1 > X0) > $o))).
% 8.66/1.87 thf(func_def_393, type, sF321: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (set @ X1 > X0 > $o) > $o))).
% 8.66/1.87 thf(func_def_394, type, sF322: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > X3 > X0) > X4 > X3 > (X4 > X3 > (X2 > X3 > X0) > X1) > X1))).
% 8.66/1.87 thf(func_def_395, type, sF323: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((X0 > ((X1 > X4 > X5) > X0 > X2 > X3) > X2 > (X1 > X4 > X5) > X3))).
% 8.66/1.87 thf(func_def_396, type, sF324: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0 > $o) > ((X1 > X0 > $o) > (X2 > X3 > $o) > $o) > (X2 > X3 > $o) > $o))).
% 8.66/1.87 thf(func_def_397, type, sF325: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X0 > X1) > (X0 > X0 > (X0 > X0 > X1) > X1) > X1))).
% 8.66/1.87 thf(func_def_398, type, sF326: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:(((X5 > X6 > X4) > (X7 > X8 > $o) > ((X5 > X6 > X4) > (X7 > X8 > $o) > (X2 > X3 > X0) > X1) > (X2 > X3 > X0) > X1))).
% 8.66/1.87 thf(func_def_399, type, sF327: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0) > ((X1 > X0) > (X2 > X2 > $o) > X3) > (X2 > X2 > $o) > X3))).
% 8.66/1.87 thf(func_def_400, type, sF328: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:(((X6 > X4) > (X8 > X5) > ((X6 > X4) > (X8 > X5) > (X1 > X7) > (X2 > X3) > X0) > (X1 > X7) > (X2 > X3) > X0))).
% 8.66/1.87 thf(func_def_401, type, sF329: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > X3 > X0) > ((X4 > X5) > (X2 > X3 > X0) > X1) > (X4 > X5) > X1))).
% 8.66/1.87 thf(func_def_402, type, sF330: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > X3) > X4 > X1 > (X4 > X1 > (X2 > X3) > X0) > X0))).
% 8.66/1.87 thf(func_def_403, type, sF331: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X0 > $o) > ((X0 > X0 > $o) > (X1 > X3) > X2) > (X1 > X3) > X2))).
% 8.66/1.87 thf(func_def_404, type, sF332: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > X0) > ((X2 > X0) > (X1 > X3) > X2) > (X1 > X3) > X2))).
% 8.66/1.87 thf(func_def_405, type, sF333: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:(((X6 > X4) > (X7 > X8 > X5) > ((X6 > X4) > (X7 > X8 > X5) > (X0 > X1) > (X2 > X3) > $o) > (X0 > X1) > (X2 > X3) > $o))).
% 8.66/1.87 thf(func_def_406, type, sF334: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X1 > X2) > (X1 > X0) > ((X3 > X4) > (X1 > X0) > X1) > (X3 > X4) > X2))).
% 8.66/1.87 thf(func_def_407, type, sF335: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((X2 > X4 > (set @ X5 > X4 > (X0 > X1 > X1) > X2 > X3) > (X0 > X1 > X1) > set @ X5 > X3))).
% 8.66/1.87 thf(func_def_408, type, sF336: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2 > $o) > X0 > X1 > X2 > $o))).
% 8.66/1.87 thf(func_def_409, type, sF337: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((X2 > X4 > (X5 > X4 > (X0 > X1 > X1) > X2 > X3) > (X0 > X1 > X1) > X5 > X3))).
% 8.66/1.87 thf(func_def_410, type, sF338: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType]:((((X7 > X4 > X6) > (X8 > X9 > X5) > (X2 > X3 > X0) > X1) > (X7 > X4 > X6) > (X8 > X9 > X5) > (X2 > X3 > X0) > X1))).
% 8.66/1.87 thf(func_def_411, type, sF339: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X1 > (X1 > X0 > (X1 > X1 > X3) > X2) > (X1 > X1 > X3) > X0 > X2))).
% 8.66/1.87 thf(func_def_412, type, sF340: (($o > $o > $o) > $o > $o > $o)).
% 8.66/1.87 thf(func_def_413, type, sF341: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_414, type, sF342: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_415, type, sF343: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_416, type, sF344: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_417, type, sF345: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_418, type, sF346: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_419, type, sF347: !>[X0: $tType]:($o)).
% 8.66/1.87 thf(func_def_420, type, sF348: !>[X0: $tType, X1: $tType]:($o)).
% 8.66/1.87 thf(func_def_421, type, sF349: !>[X0: $tType, X1: $tType]:($o)).
% 8.66/1.87 thf(func_def_422, type, sF350: !>[X0: $tType, X1: $tType]:($o)).
% 8.66/1.87 thf(func_def_423, type, sF351: !>[X0: $tType, X1: $tType]:($o)).
% 8.66/1.87 thf(func_def_424, type, sF352: !>[X0: $tType, X1: $tType]:($o)).
% 8.66/1.87 thf(func_def_425, type, sF353: !>[X0: $tType, X1: $tType]:($o)).
% 8.66/1.87 thf(func_def_426, type, sF354: !>[X0: $tType, X1: $tType]:($o)).
% 8.66/1.87 thf(f1,axiom,(
% 8.66/1.87 (finite100568337ommute @ a @ c @ f1)),
% 8.66/1.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I2_J)).
% 8.66/1.87 thf(f281,axiom,(
% 8.66/1.87 ! [X0 : $o] : ((X0 = $false) | (X0 = $true))),
% 8.66/1.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_T)).
% 8.66/1.87 thf(f284,conjecture,(
% 8.66/1.87 (finite100568337ommute @ a @ c @ f1)),
% 8.66/1.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 8.66/1.87 thf(f285,negated_conjecture,(
% 8.66/1.87 ~(finite100568337ommute @ a @ c @ f1)),
% 8.66/1.87 inference(negated_conjecture,[status(cth)],[f284])).
% 8.66/1.87 thf(f286,plain,(
% 8.66/1.87 (finite100568337ommute @ a @ c @ f1)),
% 8.66/1.87 inference(rectify,[],[f1])).
% 8.66/1.87 thf(f287,plain,(
% 8.66/1.87 (((finite100568337ommute @ a @ c @ f1)) = $true)),
% 8.66/1.87 inference(fool_elimination,[],[f286])).
% 8.66/1.87 thf(f774,plain,(
% 8.66/1.87 ! [X0 : $o] : (($false = X0) | ($true = X0))),
% 8.66/1.87 inference(fool_elimination,[],[f281])).
% 8.66/1.87 thf(f779,plain,(
% 8.66/1.87 ~(finite100568337ommute @ a @ c @ f1)),
% 8.66/1.87 inference(rectify,[],[f285])).
% 8.66/1.87 thf(f780,plain,(
% 8.66/1.87 ~ (((finite100568337ommute @ a @ c @ f1)) = $true)),
% 8.66/1.87 inference(fool_elimination,[],[f779])).
% 8.66/1.87 thf(f788,plain,(
% 8.66/1.87 (((finite100568337ommute @ a @ c @ f1)) != $true)),
% 8.66/1.87 inference(flattening,[],[f780])).
% 8.66/1.87 thf(f1122,plain,(
% 8.66/1.87 (((finite100568337ommute @ a @ c @ f1)) = $true)),
% 8.66/1.87 inference(cnf_transformation,[],[f287])).
% 8.66/1.87 thf(f1456,plain,(
% 8.66/1.87 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 8.66/1.87 inference(cnf_transformation,[],[f774])).
% 8.66/1.87 thf(f1459,plain,(
% 8.66/1.87 (((finite100568337ommute @ a @ c @ f1)) != $true)),
% 8.66/1.87 inference(cnf_transformation,[],[f788])).
% 8.66/1.87 thf(f1462,definition,(
% 8.66/1.87 ($false = ((sP73 @ (finite100568337ommute @ a @ c @ f1))))),
% 8.66/1.87 introduced(definition,[new_symbols(definition,[sP73])],[inequality_splitting_name_introduction])).
% 8.66/1.87 thf(f1463,plain,(
% 8.66/1.87 ($true = ((sP73 @ $true)))),
% 8.66/1.87 inference(inequality_splitting,[],[f1459,f1462])).
% 8.66/1.87 thf(f2293,plain,(
% 8.66/1.87 ($false = ((sP73 @ $true))) | (((finite100568337ommute @ a @ c @ f1)) = $false)),
% 8.66/1.87 inference(constrained_superposition,[],[f1462,f1456])).
% 8.66/1.87 thf(f2303,plain,(
% 8.66/1.87 ($true = $false) | (((finite100568337ommute @ a @ c @ f1)) = $false)),
% 8.66/1.87 inference(forward_demodulation,[],[f2293,f1463])).
% 8.66/1.87 thf(f2304,plain,(
% 8.66/1.87 (((finite100568337ommute @ a @ c @ f1)) = $false)),
% 8.66/1.87 inference(trivial_inequality_removal,[],[f2303])).
% 8.66/1.87 thf(f2603,plain,(
% 8.66/1.87 ($true = $false)),
% 8.66/1.87 inference(constrained_superposition,[],[f2304,f1122])).
% 8.66/1.87 thf(f2605,plain,(
% 8.66/1.87 $false),
% 8.66/1.87 inference(trivial_inequality_removal,[],[f2603])).
% 8.66/1.87 % SZS output end Proof for theBenchmark
% 8.66/1.87 % (1772436)------------------------------
% 8.66/1.87 % (1772436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.66/1.87 % (1772436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/1.87 % (1772436)CaDiCaL version: 2.1.3
% 8.66/1.87 % (1772436)Termination reason: Refutation
% 8.66/1.87 % (1772436)Time elapsed: 0.612 s
% 8.66/1.87 % (1772436)Peak memory usage: 18 MB
% 8.66/1.87 % (1772436)Instructions burned: 699 (million)
% 8.66/1.87 % (1772389)Success in time 1.548 s
% 8.66/1.87 % Vampire exiting
%------------------------------------------------------------------------------