%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP119^2 : 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 : n016.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 08:10:46 AM UTC 2026
% Result : ContradictoryAxioms 0.20s 0.36s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP119^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n016.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 20:01:35 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36 % (831648)Will run a generic schedule for satisfiability detection.
% 0.20/0.36 % (831656)dis+10_1_sil=32000:sp=arity:random_seed=2710710328:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.36 % (831654)% WARNING: option uhcvi not known.
% 0.20/0.36 % (831653)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=905350184_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.36 % (831654)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1412327526:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.36 % (831655)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1890021261:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.36 % (831657)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=926513755:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.36 % (831658)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=131862414:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % (831659)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=330647750:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.36 % (831654)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.36 % (831657)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.36 % (831656)Instruction limit reached!
% 0.20/0.36 % (831656)------------------------------
% 0.20/0.36 % (831656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (831656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (831656)CaDiCaL version: 2.1.3
% 0.20/0.36 % (831656)Termination reason: Instruction limit
% 0.20/0.36 % (831656)Termination phase: Saturation
% 0.20/0.36 % (831656)Time elapsed: 0.024 s
% 0.20/0.36 % (831656)Peak memory usage: 12 MB
% 0.20/0.36 % (831656)Instructions burned: 105 (million)
% 0.20/0.36 % (831667)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1567077765:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.36 % Exception at run slice level
% 0.20/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.36 % (831654)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.36 % Exception at run slice level
% 0.20/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.36 % (831658)Instruction limit reached!
% 0.20/0.36 % (831658)------------------------------
% 0.20/0.36 % (831658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (831658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (831658)CaDiCaL version: 2.1.3
% 0.20/0.36 % (831658)Termination reason: Instruction limit
% 0.20/0.36 % (831658)Termination phase: Saturation
% 0.20/0.36 % (831658)Time elapsed: 0.057 s
% 0.20/0.36 % (831658)Peak memory usage: 13 MB
% 0.20/0.36 % (831658)Instructions burned: 131 (million)
% 0.20/0.36 % (831669)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2278089700:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % (831670)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=2648638499:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.20/0.36 % (831657)Instruction limit reached!
% 0.20/0.36 % (831657)------------------------------
% 0.20/0.36 % (831657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (831657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (831657)CaDiCaL version: 2.1.3
% 0.20/0.36 % (831657)Termination reason: Instruction limit
% 0.20/0.36 % (831657)Termination phase: Saturation
% 0.20/0.36 % (831657)Time elapsed: 0.063 s
% 0.20/0.36 % (831657)Peak memory usage: 12 MB
% 0.20/0.36 % (831657)Instructions burned: 116 (million)
% 0.20/0.36 % (831654) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-831648-831654"...
% 0.20/0.36 % (831670)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.36 % (831654)...printing done.
% 0.20/0.36 % (831659)Instruction limit reached!
% 0.20/0.36 % (831659)------------------------------
% 0.20/0.36 % (831659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (831659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (831659)CaDiCaL version: 2.1.3
% 0.20/0.36 % (831659)Termination reason: Instruction limit
% 0.20/0.36 % (831659)Termination phase: Saturation
% 0.20/0.36 % (831659)Time elapsed: 0.072 s
% 0.20/0.36 % (831659)Peak memory usage: 14 MB
% 0.20/0.36 % (831659)Instructions burned: 160 (million)
% 0.20/0.36 % (831654)Refutation found. Thanks to Tanya!
% 0.20/0.36 % SZS status ContradictoryAxioms for theBenchmark
% 0.20/0.36 % SZS output start Proof for theBenchmark
% 0.20/0.36 thf(type_def_5, type, list: $tType > $tType).
% 0.20/0.36 thf(type_def_6, type, a: $tType).
% 0.20/0.36 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.36 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.20/0.36 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 0.20/0.36 thf(func_def_2, type, linorder: !>[X0: $tType]:($o)).
% 0.20/0.36 thf(func_def_3, type, finite_comp_fun_idem: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 0.20/0.36 thf(func_def_4, type, abel_semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.20/0.36 thf(func_def_5, type, abel_s1917375468axioms: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.20/0.36 thf(func_def_6, type, semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.20/0.36 thf(func_def_7, type, semilattice: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.20/0.36 thf(func_def_8, type, semilattice_axioms: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.20/0.36 thf(func_def_9, type, lattices_is_arg_max: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > (X1 > $o) > X1 > $o))).
% 0.20/0.36 thf(func_def_10, type, lattices_is_arg_min: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > (X1 > $o) > X1 > $o))).
% 0.20/0.36 thf(func_def_11, type, lattic35693393ce_set: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.20/0.36 thf(func_def_12, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.20/0.36 thf(func_def_13, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 0.20/0.36 thf(func_def_14, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.20/0.36 thf(func_def_15, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.20/0.36 thf(func_def_16, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.20/0.36 thf(func_def_17, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 0.20/0.36 thf(func_def_18, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.20/0.36 thf(func_def_19, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.20/0.36 thf(func_def_20, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 0.20/0.36 thf(func_def_21, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 0.20/0.36 thf(func_def_22, type, lexordp: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 0.20/0.36 thf(func_def_23, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 0.20/0.36 thf(func_def_24, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.20/0.36 thf(func_def_25, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.20/0.36 thf(func_def_26, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 0.20/0.36 thf(func_def_27, type, modula1618706180attice: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > X0) > X0 > X0 > X0 > $o))).
% 0.20/0.36 thf(func_def_28, type, modula1192512645attice: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > X0) > X0 > X0 > X0 > $o))).
% 0.20/0.36 thf(func_def_29, type, modula105138637_a_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 0.20/0.36 thf(func_def_30, type, modula477145868_b_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 0.20/0.36 thf(func_def_31, type, modula849153099_c_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 0.20/0.36 thf(func_def_32, type, modula1221160330_d_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 0.20/0.36 thf(func_def_33, type, modula1593167561_e_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 0.20/0.36 thf(func_def_34, type, modula141148890istrib: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > X0) > X0 > X0 > X0 > $o))).
% 0.20/0.36 thf(func_def_35, type, transp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 0.20/0.36 thf(func_def_36, type, a2: a).
% 0.20/0.36 thf(func_def_37, type, b: a).
% 0.20/0.36 thf(func_def_38, type, c: a).
% 0.20/0.36 thf(func_def_39, type, inf: (a > a > a)).
% 0.20/0.36 thf(func_def_40, type, less: (a > a > $o)).
% 0.20/0.36 thf(func_def_41, type, sup: (a > a > a)).
% 0.20/0.36 thf(func_def_45, type, vAND: ($o > $o > $o)).
% 0.20/0.36 thf(func_def_46, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.20/0.36 thf(func_def_47, type, vNOT: ($o > $o)).
% 0.20/0.36 thf(func_def_48, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.20/0.36 thf(func_def_49, type, db0: !>[X0: $tType]:(X0)).
% 0.20/0.36 thf(func_def_50, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.20/0.36 thf(func_def_51, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.20/0.36 thf(func_def_52, type, db3: !>[X0: $tType]:(X0)).
% 0.20/0.36 thf(func_def_53, type, db1: !>[X0: $tType]:(X0)).
% 0.20/0.36 thf(func_def_54, type, db2: !>[X0: $tType]:(X0)).
% 0.20/0.36 thf(func_def_55, type, db4: !>[X0: $tType]:(X0)).
% 0.20/0.36 thf(func_def_56, type, vOR: ($o > $o > $o)).
% 0.20/0.36 thf(func_def_57, type, db5: !>[X0: $tType]:(X0)).
% 0.20/0.36 thf(func_def_58, type, db6: !>[X0: $tType]:(X0)).
% 0.20/0.36 thf(func_def_59, type, vIMP: ($o > $o > $o)).
% 0.20/0.36 thf(func_def_60, type, sP0: ((list @ a > list @ a > $o) > $o)).
% 0.20/0.36 thf(func_def_61, type, sP1: (list @ a > list @ a > $o)).
% 0.20/0.36 thf(func_def_62, type, sP2: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > $o))).
% 0.20/0.36 thf(func_def_63, type, sP3: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 0.20/0.36 thf(func_def_64, type, sP4: (list @ a > list @ a > $o)).
% 0.20/0.36 thf(func_def_65, type, sP5: ((list @ a > list @ a > $o) > $o)).
% 0.20/0.36 thf(func_def_66, type, sP6: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 0.20/0.36 thf(func_def_67, type, sP7: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > $o))).
% 0.20/0.36 thf(func_def_68, type, sK8: a).
% 0.20/0.36 thf(func_def_69, type, sK9: a).
% 0.20/0.36 thf(func_def_70, type, sK10: a).
% 0.20/0.36 thf(func_def_71, type, sK11: a).
% 0.20/0.36 thf(func_def_72, type, sK12: a).
% 0.20/0.36 thf(func_def_73, type, sK13: a).
% 0.20/0.36 thf(func_def_74, type, sK14: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.20/0.36 thf(func_def_75, type, sK15: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.36 thf(func_def_76, type, sK16: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.36 thf(func_def_77, type, sK17: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.36 thf(func_def_78, type, sK18: ((list @ a > list @ a > $o) > a)).
% 0.20/0.36 thf(func_def_79, type, sK19: ((list @ a > list @ a > $o) > a)).
% 0.20/0.36 thf(func_def_80, type, sK20: ((list @ a > list @ a > $o) > list @ a)).
% 0.20/0.36 thf(func_def_81, type, sK21: ((list @ a > list @ a > $o) > list @ a)).
% 0.20/0.36 thf(func_def_82, type, sK22: ((list @ a > list @ a > $o) > a)).
% 0.20/0.36 thf(func_def_83, type, sK23: ((list @ a > list @ a > $o) > a)).
% 0.20/0.36 thf(func_def_84, type, sK24: ((list @ a > list @ a > $o) > list @ a)).
% 0.20/0.36 thf(func_def_85, type, sK25: ((list @ a > list @ a > $o) > list @ a)).
% 0.20/0.36 thf(func_def_86, type, sK26: ((list @ a > list @ a > $o) > list @ a)).
% 0.20/0.36 thf(func_def_87, type, sK27: (list @ a > list @ a > a)).
% 0.20/0.36 thf(func_def_88, type, sK28: (list @ a > list @ a > a)).
% 0.20/0.36 thf(func_def_89, type, sK29: (list @ a > list @ a > list @ a)).
% 0.20/0.36 thf(func_def_90, type, sK30: (list @ a > list @ a > list @ a)).
% 0.20/0.36 thf(func_def_91, type, sK31: (list @ a > list @ a > a)).
% 0.20/0.36 thf(func_def_92, type, sK32: (list @ a > list @ a > a)).
% 0.20/0.36 thf(func_def_93, type, sK33: (list @ a > list @ a > list @ a)).
% 0.20/0.36 thf(func_def_94, type, sK34: (list @ a > list @ a > list @ a)).
% 0.20/0.36 thf(func_def_95, type, sK35: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.36 thf(func_def_96, type, sK36: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.20/0.36 thf(func_def_97, type, sK37: !>[X0: $tType]:((list @ X0 > X0))).
% 0.20/0.36 thf(func_def_98, type, sK38: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.20/0.36 thf(func_def_99, type, sK39: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.20/0.36 thf(func_def_100, type, sK40: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 0.20/0.36 thf(func_def_101, type, sK41: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.20/0.36 thf(func_def_102, type, sK42: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.20/0.36 thf(func_def_103, type, sK43: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.20/0.36 thf(func_def_104, type, sK44: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.20/0.36 thf(func_def_105, type, sK45: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_106, type, sK46: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_107, type, sK47: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_108, type, sK48: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.20/0.37 thf(func_def_109, type, sK49: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_110, type, sK50: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_111, type, sK51: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_112, type, sK52: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.20/0.37 thf(func_def_113, type, sK53: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_114, type, sK54: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.20/0.37 thf(func_def_115, type, sK55: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 0.20/0.37 thf(func_def_116, type, sK56: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 0.20/0.37 thf(func_def_117, type, sK57: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 0.20/0.37 thf(func_def_118, type, sK58: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 0.20/0.37 thf(func_def_119, type, sK59: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 0.20/0.37 thf(func_def_120, type, sK60: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 0.20/0.37 thf(func_def_121, type, sK61: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 0.20/0.37 thf(func_def_122, type, sK62: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_123, type, sK63: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_124, type, sK64: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_125, type, sK65: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_126, type, sK66: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.20/0.37 thf(func_def_127, type, sK67: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_128, type, sK68: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_129, type, sK69: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.20/0.37 thf(func_def_130, type, sK70: !>[X0: $tType]:((list @ X0 > X0))).
% 0.20/0.37 thf(func_def_131, type, sK71: !>[X0: $tType]:((list @ X0 > X0))).
% 0.20/0.37 thf(func_def_132, type, sK72: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_133, type, sK73: !>[X0: $tType]:((list @ X0 > X0))).
% 0.20/0.37 thf(func_def_134, type, sK74: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 0.20/0.37 thf(func_def_135, type, sK75: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_136, type, sK76: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.20/0.37 thf(func_def_137, type, sK77: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.20/0.37 thf(func_def_138, type, sK78: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_139, type, sK79: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_140, type, sK80: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_141, type, sK81: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_142, type, sK82: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_143, type, sK83: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_144, type, sK84: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_145, type, sK85: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_146, type, sK86: !>[X0: $tType]:((list @ X0 > X0))).
% 0.20/0.37 thf(func_def_147, type, sK87: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_148, type, sK88: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_149, type, sK89: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_150, type, sK90: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_151, type, sK91: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_152, type, sK92: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_153, type, sK93: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_154, type, sK94: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_155, type, sK95: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_156, type, sK96: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 0.20/0.37 thf(func_def_157, type, sK97: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_158, type, sK98: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 0.20/0.37 thf(func_def_159, type, sK99: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.20/0.37 thf(func_def_160, type, sK100: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 0.20/0.37 thf(func_def_161, type, sK101: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.20/0.37 thf(func_def_162, type, sK102: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 0.20/0.37 thf(func_def_163, type, sK103: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_164, type, sK104: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_165, type, sK105: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_166, type, sK106: !>[X0: $tType]:((list @ X0 > X0))).
% 0.20/0.37 thf(func_def_167, type, sK107: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_168, type, sK108: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_169, type, sK109: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_170, type, sK110: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_171, type, sK111: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_172, type, sK112: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_173, type, sK113: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_174, type, sK114: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_175, type, sK115: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_176, type, sK116: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_177, type, sK117: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_178, type, sK118: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_179, type, sK119: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_180, type, sK120: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_181, type, sK121: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_182, type, sK122: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_183, type, sK123: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_184, type, sK124: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_185, type, sK125: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_186, type, sK126: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_187, type, sK127: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_188, type, sK128: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_189, type, sK129: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_190, type, sK130: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_191, type, sK131: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_192, type, sK132: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_193, type, sK133: (list @ a > a)).
% 0.20/0.37 thf(func_def_194, type, sK134: (list @ a > list @ a)).
% 0.20/0.37 thf(func_def_195, type, sK135: ((list @ a > list @ a > $o) > a)).
% 0.20/0.37 thf(func_def_196, type, sK136: ((list @ a > list @ a > $o) > a)).
% 0.20/0.37 thf(func_def_197, type, sK137: ((list @ a > list @ a > $o) > list @ a)).
% 0.20/0.37 thf(func_def_198, type, sK138: ((list @ a > list @ a > $o) > list @ a)).
% 0.20/0.37 thf(func_def_199, type, sK139: ((list @ a > list @ a > $o) > a)).
% 0.20/0.37 thf(func_def_200, type, sK140: ((list @ a > list @ a > $o) > a)).
% 0.20/0.37 thf(func_def_201, type, sK141: ((list @ a > list @ a > $o) > list @ a)).
% 0.20/0.37 thf(func_def_202, type, sK142: ((list @ a > list @ a > $o) > list @ a)).
% 0.20/0.37 thf(func_def_203, type, sK143: ((list @ a > list @ a > $o) > a)).
% 0.20/0.37 thf(func_def_204, type, sK144: ((list @ a > list @ a > $o) > list @ a)).
% 0.20/0.37 thf(func_def_205, type, sK145: a).
% 0.20/0.37 thf(func_def_206, type, sK146: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_207, type, sK147: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_208, type, sK148: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_209, type, sK149: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_210, type, sK150: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_211, type, sK151: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_212, type, sK152: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_213, type, sK153: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_214, type, sK154: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_215, type, sK155: !>[X0: $tType]:((list @ X0 > X0))).
% 0.20/0.37 thf(func_def_216, type, sK156: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_217, type, sK157: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_218, type, sK158: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_219, type, sK159: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_220, type, sK160: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_221, type, sK161: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_222, type, sK162: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_223, type, sK163: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_224, type, sK164: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_225, type, sK165: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_226, type, sK166: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_227, type, sK167: a).
% 0.20/0.37 thf(func_def_228, type, sK168: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_229, type, sK169: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_230, type, sK170: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_231, type, sK171: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_232, type, sK172: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_233, type, sK173: !>[X0: $tType]:((list @ X0 > X0))).
% 0.20/0.37 thf(func_def_234, type, sK174: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.20/0.37 thf(func_def_235, type, sK175: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.20/0.37 thf(func_def_236, type, sK176: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_237, type, sK177: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_238, type, sK178: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 0.20/0.37 thf(func_def_239, type, sK179: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_240, type, sK180: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_241, type, sK181: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 0.20/0.37 thf(func_def_242, type, sK182: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > list @ X0 > list @ list @ X0))).
% 0.20/0.37 thf(func_def_243, type, sK183: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_244, type, sK184: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_245, type, sK185: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 0.20/0.37 thf(func_def_246, type, sK186: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_247, type, sK187: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_248, type, sK188: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_249, type, sK189: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_250, type, sK190: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_251, type, sK191: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_252, type, sK192: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_253, type, sK193: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_254, type, sK194: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_255, type, sK195: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_256, type, sK196: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_257, type, sK197: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_258, type, sK198: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_259, type, sK199: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_260, type, sK200: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_261, type, sK201: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_262, type, sK202: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_263, type, sK203: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_264, type, sK204: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_265, type, sK205: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_266, type, sK206: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_267, type, sK207: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_268, type, sK208: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_269, type, sK209: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_270, type, sK210: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_271, type, sK211: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_272, type, sK212: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_273, type, sK213: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_274, type, sK214: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_275, type, sK215: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_276, type, sK216: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_277, type, sK217: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_278, type, sK218: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_279, type, sK219: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_280, type, sK220: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_281, type, sK221: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_282, type, sK222: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_283, type, sK223: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_284, type, sK224: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_285, type, sK225: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_286, type, sK226: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_287, type, sK227: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_288, type, sK228: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_289, type, sK229: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_290, type, sK230: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_291, type, sK231: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_292, type, sK232: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_293, type, sK233: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_294, type, sK234: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_295, type, sK235: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_296, type, sK236: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_297, type, sK237: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_298, type, sK238: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_299, type, sK239: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_300, type, sK240: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_301, type, sK241: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_302, type, sK242: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_303, type, sK243: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_304, type, sK244: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_305, type, sK245: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_306, type, sK246: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_307, type, sK247: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_308, type, sK248: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_309, type, sK249: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_310, type, sK250: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_311, type, sK251: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_312, type, sK252: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_313, type, sK253: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_314, type, sK254: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_315, type, sK255: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_316, type, sK256: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_317, type, sK257: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_318, type, sK258: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.20/0.37 thf(func_def_319, type, sK259: !>[X0: $tType]:((list @ X0 > X0))).
% 0.20/0.37 thf(func_def_320, type, sK260: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_321, type, sK261: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_322, type, sK262: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_323, type, sK263: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_324, type, sK264: (list @ a > list @ a > list @ a)).
% 0.20/0.37 thf(func_def_325, type, sK265: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_326, type, sK266: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_327, type, sK267: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_328, type, sK268: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_329, type, sK269: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_330, type, sK270: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_331, type, sK271: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_332, type, sK272: (list @ a > list @ a > a)).
% 0.20/0.37 thf(func_def_333, type, sK273: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_334, type, sK274: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_335, type, sK275: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_336, type, sK276: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_337, type, sK277: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_338, type, sK278: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_339, type, sK279: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_340, type, sK280: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_341, type, sK281: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_342, type, sK282: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_343, type, sK283: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_344, type, sK284: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_345, type, sK285: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_346, type, sK286: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_347, type, sK287: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_348, type, sK288: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_349, type, sK289: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_350, type, sK290: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.20/0.37 thf(func_def_351, type, sK291: !>[X0: $tType]:(((X0 > a) > (X0 > $o) > X0 > X0))).
% 0.20/0.37 thf(func_def_352, type, sK292: !>[X0: $tType]:(((X0 > a) > (X0 > $o) > X0 > X0))).
% 0.20/0.37 thf(func_def_353, type, sK293: !>[X0: $tType]:(((X0 > a) > (X0 > $o) > X0 > X0))).
% 0.20/0.37 thf(func_def_354, type, sK294: !>[X0: $tType]:(((X0 > a) > (X0 > $o) > X0 > X0))).
% 0.20/0.37 thf(func_def_355, type, sK295: !>[X0: $tType]:(((X0 > a) > (X0 > $o) > X0 > X0))).
% 0.20/0.37 thf(func_def_356, type, sK296: !>[X0: $tType]:(((X0 > a) > (X0 > $o) > X0 > X0))).
% 0.20/0.37 thf(f11,axiom,(
% 0.20/0.37 ! [X0 : a] : ~(less @ X0 @ X0)),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_local_Oless__irrefl)).
% 0.20/0.37 thf(f53,axiom,(
% 0.20/0.37 ! [X0 : a] : (((sup @ X0 @ X0)) = X0)),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_local_Osup_Oidem)).
% 0.20/0.37 thf(f260,axiom,(
% 0.20/0.37 (((inf @ c @ (sup @ b @ c))) = b)),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 0.20/0.37 thf(f261,axiom,(
% 0.20/0.37 (a2 = ((sup @ b @ c)))),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2)).
% 0.20/0.37 thf(f262,axiom,(
% 0.20/0.37 (less @ b @ (sup @ b @ c))),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3)).
% 0.20/0.37 thf(f263,axiom,(
% 0.20/0.37 (((inf @ c @ (sup @ b @ c))) = c)),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4)).
% 0.20/0.37 thf(f286,plain,(
% 0.20/0.37 ! [X0 : a] : ~(less @ X0 @ X0)),
% 0.20/0.37 inference(rectify,[],[f11])).
% 0.20/0.37 thf(f287,plain,(
% 0.20/0.37 ! [X0 : a] : ~ (((less @ X0 @ X0)) = $true)),
% 0.20/0.37 inference(fool_elimination,[],[f286])).
% 0.20/0.37 thf(f567,plain,(
% 0.20/0.37 (less @ b @ (sup @ b @ c))),
% 0.20/0.37 inference(rectify,[],[f262])).
% 0.20/0.37 thf(f568,plain,(
% 0.20/0.37 (((less @ b @ (sup @ b @ c))) = $true)),
% 0.20/0.37 inference(fool_elimination,[],[f567])).
% 0.20/0.37 thf(f573,plain,(
% 0.20/0.37 ! [X0 : a] : (((less @ X0 @ X0)) != $true)),
% 0.20/0.37 inference(flattening,[],[f287])).
% 0.20/0.37 thf(f864,plain,(
% 0.20/0.37 ( ! [X0 : a] : ((((less @ X0 @ X0)) != $true)) )),
% 0.20/0.37 inference(cnf_transformation,[],[f573])).
% 0.20/0.37 thf(f908,plain,(
% 0.20/0.37 ( ! [X0 : a] : ((((sup @ X0 @ X0)) = X0)) )),
% 0.20/0.37 inference(cnf_transformation,[],[f53])).
% 0.20/0.37 thf(f1197,plain,(
% 0.20/0.37 (b = ((inf @ c @ (sup @ b @ c))))),
% 0.20/0.37 inference(cnf_transformation,[],[f260])).
% 0.20/0.37 thf(f1198,plain,(
% 0.20/0.37 (((sup @ b @ c)) = a2)),
% 0.20/0.37 inference(cnf_transformation,[],[f261])).
% 0.20/0.37 thf(f1199,plain,(
% 0.20/0.37 (((less @ b @ (sup @ b @ c))) = $true)),
% 0.20/0.37 inference(cnf_transformation,[],[f568])).
% 0.20/0.37 thf(f1200,plain,(
% 0.20/0.37 (c = ((inf @ c @ (sup @ b @ c))))),
% 0.20/0.37 inference(cnf_transformation,[],[f263])).
% 0.20/0.37 thf(f2460,plain,(
% 0.20/0.37 (b = ((inf @ c @ a2)))),
% 0.20/0.37 inference(forward_demodulation,[],[f1197,f1198])).
% 0.20/0.37 thf(f2461,plain,(
% 0.20/0.37 ($true = ((less @ b @ a2)))),
% 0.20/0.37 inference(forward_demodulation,[],[f1199,f1198])).
% 0.20/0.37 thf(f2466,plain,(
% 0.20/0.37 (c = ((inf @ c @ a2)))),
% 0.20/0.37 inference(forward_demodulation,[],[f1200,f1198])).
% 0.20/0.37 thf(f2467,plain,(
% 0.20/0.37 (b = c)),
% 0.20/0.37 inference(forward_demodulation,[],[f2466,f2460])).
% 0.20/0.37 thf(f2469,plain,(
% 0.20/0.37 (a2 = ((sup @ b @ b)))),
% 0.20/0.37 inference(constrained_superposition,[],[f1198,f2467])).
% 0.20/0.37 thf(f2471,plain,(
% 0.20/0.37 (b = a2)),
% 0.20/0.37 inference(forward_demodulation,[],[f2469,f908])).
% 0.20/0.37 thf(f2472,plain,(
% 0.20/0.37 ($true = ((less @ b @ b)))),
% 0.20/0.37 inference(constrained_superposition,[],[f2461,f2471])).
% 0.20/0.37 thf(f2475,plain,(
% 0.20/0.37 $false),
% 0.20/0.37 inference(forward_subsumption_resolution,[],[f2472,f864])).
% 0.20/0.37 % SZS output end Proof for theBenchmark
% 0.20/0.37 % (831654)------------------------------
% 0.20/0.37 % (831654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37 % (831654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37 % (831654)CaDiCaL version: 2.1.3
% 0.20/0.37 % (831654)Termination reason: Refutation
% 0.20/0.37 % (831654)Time elapsed: 0.071 s
% 0.20/0.37 % (831654)Peak memory usage: 13 MB
% 0.20/0.37 % (831654)Instructions burned: 154 (million)
% 0.20/0.37 % (831648)Success in time 0.124 s
% 0.20/0.37 % Vampire exiting
%------------------------------------------------------------------------------