%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP114^1 : 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 : n011.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 08:10:45 AM UTC 2026
% Result : Theorem 0.20s 0.38s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP114^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n011.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:55:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.20/0.38 % (564720)Will run a generic schedule for satisfiability detection.
% 0.20/0.38 % (564728)dis+10_1_sil=32000:sp=arity:random_seed=4235053466:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.38 % (564726)% WARNING: option uhcvi not known.
% 0.20/0.38 % (564725)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1535681808_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.38 % (564726)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=907748035:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.38 % (564727)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=869256606:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.38 % (564729)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2741058814:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.38 % (564728)Instruction limit reached!
% 0.20/0.38 % (564728)------------------------------
% 0.20/0.38 % (564728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (564728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (564728)CaDiCaL version: 2.1.3
% 0.20/0.38 % (564728)Termination reason: Instruction limit
% 0.20/0.38 % (564728)Termination phase: Property scanning
% 0.20/0.38 % (564728)Time elapsed: 0.024 s
% 0.20/0.38 % (564728)Peak memory usage: 12 MB
% 0.20/0.38 % (564728)Instructions burned: 105 (million)
% 0.20/0.38 % (564726)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.38 % (564730)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=931373500:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.38 % (564731)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3408716635:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.38 % (564737)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=58449466:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.38 % (564729)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 % (564726)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.38 % (564742)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=3128957522:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.20/0.38 % (564741)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2059775524:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.20/0.38 % (564730)Instruction limit reached!
% 0.20/0.38 % (564730)------------------------------
% 0.20/0.38 % (564730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (564730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (564730)CaDiCaL version: 2.1.3
% 0.20/0.38 % (564730)Termination reason: Instruction limit
% 0.20/0.38 % (564730)Termination phase: Saturation
% 0.20/0.38 % (564730)Time elapsed: 0.056 s
% 0.20/0.38 % (564730)Peak memory usage: 13 MB
% 0.20/0.38 % (564730)Instructions burned: 132 (million)
% 0.20/0.38 % (564742)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.38 % (564726) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-564720-564726"...
% 0.20/0.38 % (564726)...printing done.
% 0.20/0.38 % (564726)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Theorem for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% 0.20/0.38 thf(type_def_5, type, set_Extended_ereal: $tType).
% 0.20/0.38 thf(type_def_6, type, extended_ereal: $tType).
% 0.20/0.38 thf(type_def_7, type, extended_enat: $tType).
% 0.20/0.38 thf(type_def_8, type, real: $tType).
% 0.20/0.38 thf(type_def_9, type, num: $tType).
% 0.20/0.38 thf(type_def_10, type, nat: $tType).
% 0.20/0.38 thf(type_def_11, type, a: $tType).
% 0.20/0.38 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.38 thf(func_def_0, type, extended_enat2: (nat > extended_enat)).
% 0.20/0.38 thf(func_def_1, type, extend1289208545_ereal: extended_ereal).
% 0.20/0.38 thf(func_def_2, type, extended_the_enat: (extended_enat > nat)).
% 0.20/0.38 thf(func_def_3, type, extended_MInfty: extended_ereal).
% 0.20/0.38 thf(func_def_4, type, extended_PInfty: extended_ereal).
% 0.20/0.38 thf(func_def_5, type, extended_ereal2: (real > extended_ereal)).
% 0.20/0.38 thf(func_def_6, type, extended_size_ereal: (extended_ereal > nat)).
% 0.20/0.38 thf(func_def_7, type, extend1771934483f_enat: (extended_enat > extended_ereal)).
% 0.20/0.38 thf(func_def_8, type, extend1716541707_ereal: (extended_ereal > real)).
% 0.20/0.38 thf(func_def_9, type, abs_ab1260901297_ereal: (extended_ereal > extended_ereal)).
% 0.20/0.38 thf(func_def_10, type, uminus1208298309_ereal: (extended_ereal > extended_ereal)).
% 0.20/0.38 thf(func_def_11, type, uminus_uminus_real: (real > real)).
% 0.20/0.38 thf(func_def_12, type, zero_z491942557d_enat: extended_enat).
% 0.20/0.38 thf(func_def_13, type, zero_z163181189_ereal: extended_ereal).
% 0.20/0.38 thf(func_def_14, type, zero_zero_nat: nat).
% 0.20/0.38 thf(func_def_15, type, zero_zero_real: real).
% 0.20/0.38 thf(func_def_16, type, lower_1616484581_ereal: ((a > extended_ereal) > $o)).
% 0.20/0.38 thf(func_def_17, type, lower_881475195hull_a: ((a > extended_ereal) > a > extended_ereal)).
% 0.20/0.38 thf(func_def_18, type, numera280919179d_enat: (num > extended_enat)).
% 0.20/0.38 thf(func_def_19, type, numera1793320307_ereal: (num > extended_ereal)).
% 0.20/0.38 thf(func_def_20, type, numeral_numeral_nat: (num > nat)).
% 0.20/0.38 thf(func_def_21, type, numeral_numeral_real: (num > real)).
% 0.20/0.38 thf(func_def_22, type, ord_le291126163d_enat: (($o > extended_enat) > ($o > extended_enat) > $o)).
% 0.20/0.38 thf(func_def_23, type, ord_le637473275_ereal: (($o > extended_ereal) > ($o > extended_ereal) > $o)).
% 0.20/0.38 thf(func_def_24, type, ord_less_eq_o_nat: (($o > nat) > ($o > nat) > $o)).
% 0.20/0.38 thf(func_def_25, type, ord_less_eq_o_real: (($o > real) > ($o > real) > $o)).
% 0.20/0.38 thf(func_def_26, type, ord_le1863327750d_enat: (extended_enat > extended_enat > $o)).
% 0.20/0.38 thf(func_def_27, type, ord_le824540014_ereal: (extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_28, type, ord_less_eq_nat: (nat > nat > $o)).
% 0.20/0.38 thf(func_def_29, type, ord_less_eq_num: (num > num > $o)).
% 0.20/0.38 thf(func_def_30, type, ord_less_eq_real: (real > real > $o)).
% 0.20/0.38 thf(func_def_31, type, order_1628344639d_enat: ((extended_enat > $o) > extended_enat)).
% 0.20/0.38 thf(func_def_32, type, order_1158471719_ereal: ((extended_ereal > $o) > extended_ereal)).
% 0.20/0.38 thf(func_def_33, type, order_Greatest_nat: ((nat > $o) > nat)).
% 0.20/0.38 thf(func_def_34, type, order_Greatest_real: ((real > $o) > real)).
% 0.20/0.38 thf(func_def_35, type, order_2047034162d_enat: ((extended_enat > extended_enat) > $o)).
% 0.20/0.38 thf(func_def_36, type, order_1147259034_ereal: ((extended_enat > extended_ereal) > $o)).
% 0.20/0.38 thf(func_def_37, type, order_442688004at_nat: ((extended_enat > nat) > $o)).
% 0.20/0.38 thf(func_def_38, type, order_182315744t_real: ((extended_enat > real) > $o)).
% 0.20/0.38 thf(func_def_39, type, order_680161354d_enat: ((extended_ereal > extended_enat) > $o)).
% 0.20/0.38 thf(func_def_40, type, order_1408494002_ereal: ((extended_ereal > extended_ereal) > $o)).
% 0.20/0.38 thf(func_def_41, type, order_523806444al_nat: ((extended_ereal > nat) > $o)).
% 0.20/0.38 thf(func_def_42, type, order_1800387528l_real: ((extended_ereal > real) > $o)).
% 0.20/0.38 thf(func_def_43, type, order_1660553314d_enat: ((nat > extended_enat) > $o)).
% 0.20/0.38 thf(func_def_44, type, order_736687562_ereal: ((nat > extended_ereal) > $o)).
% 0.20/0.38 thf(func_def_45, type, order_1631207636at_nat: ((nat > nat) > $o)).
% 0.20/0.38 thf(func_def_46, type, order_106095024t_real: ((nat > real) > $o)).
% 0.20/0.38 thf(func_def_47, type, order_2106278841d_enat: ((extended_enat > extended_enat) > $o)).
% 0.20/0.38 thf(func_def_48, type, order_1180956065_ereal: ((extended_enat > extended_ereal) > $o)).
% 0.20/0.38 thf(func_def_49, type, order_1622825661at_nat: ((extended_enat > nat) > $o)).
% 0.20/0.38 thf(func_def_50, type, order_135436057t_real: ((extended_enat > real) > $o)).
% 0.20/0.38 thf(func_def_51, type, order_713858385d_enat: ((extended_ereal > extended_enat) > $o)).
% 0.20/0.38 thf(func_def_52, type, order_555877177_ereal: ((extended_ereal > extended_ereal) > $o)).
% 0.20/0.38 thf(func_def_53, type, order_476926757al_nat: ((extended_ereal > nat) > $o)).
% 0.20/0.38 thf(func_def_54, type, order_1560271745l_real: ((extended_ereal > real) > $o)).
% 0.20/0.38 thf(func_def_55, type, order_693207323d_enat: ((nat > extended_enat) > $o)).
% 0.20/0.38 thf(func_def_56, type, order_689807875_ereal: ((nat > extended_ereal) > $o)).
% 0.20/0.38 thf(func_def_57, type, order_769474267at_nat: ((nat > nat) > $o)).
% 0.20/0.38 thf(func_def_58, type, order_1962034751d_enat: ((real > extended_enat) > $o)).
% 0.20/0.38 thf(func_def_59, type, order_946214183_ereal: ((real > extended_ereal) > $o)).
% 0.20/0.38 thf(func_def_60, type, divide595620860_ereal: (extended_ereal > extended_ereal > extended_ereal)).
% 0.20/0.38 thf(func_def_61, type, member1900190071_ereal: (extended_ereal > set_Extended_ereal > $o)).
% 0.20/0.38 thf(func_def_62, type, f: (a > extended_ereal)).
% 0.20/0.38 thf(func_def_63, type, g: (a > extended_ereal)).
% 0.20/0.38 thf(func_def_64, type, x: a).
% 0.20/0.38 thf(func_def_68, type, db1: !>[X0: $tType]:(X0)).
% 0.20/0.38 thf(func_def_69, type, db0: !>[X0: $tType]:(X0)).
% 0.20/0.38 thf(func_def_70, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.20/0.38 thf(func_def_71, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.20/0.38 thf(func_def_72, type, vAND: ($o > $o > $o)).
% 0.20/0.38 thf(func_def_73, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.20/0.38 thf(func_def_74, type, vIMP: ($o > $o > $o)).
% 0.20/0.38 thf(func_def_75, type, db2: !>[X0: $tType]:(X0)).
% 0.20/0.38 thf(func_def_76, type, vOR: ($o > $o > $o)).
% 0.20/0.38 thf(func_def_77, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.20/0.38 thf(func_def_78, type, vNOT: ($o > $o)).
% 0.20/0.38 thf(func_def_79, type, sP0: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_80, type, sP1: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_81, type, sP2: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_82, type, sP3: (extended_enat > extended_enat > extended_enat > $o)).
% 0.20/0.38 thf(func_def_83, type, sP4: (extended_enat > extended_enat > extended_enat > $o)).
% 0.20/0.38 thf(func_def_84, type, sP5: (extended_enat > extended_enat > extended_enat > $o)).
% 0.20/0.38 thf(func_def_85, type, sP6: (nat > nat > nat > $o)).
% 0.20/0.38 thf(func_def_86, type, sP7: (nat > nat > nat > $o)).
% 0.20/0.38 thf(func_def_87, type, sP8: (nat > nat > nat > $o)).
% 0.20/0.38 thf(func_def_88, type, sP9: (real > real > real > $o)).
% 0.20/0.38 thf(func_def_89, type, sP10: (real > real > real > $o)).
% 0.20/0.38 thf(func_def_90, type, sP11: (real > real > real > $o)).
% 0.20/0.38 thf(func_def_91, type, sP12: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_92, type, sP13: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_93, type, sP14: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_94, type, sP15: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_95, type, sP16: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_96, type, sP17: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_97, type, sP18: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_98, type, sP19: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_99, type, sP20: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_100, type, sP21: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_101, type, sP22: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_102, type, sP23: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_103, type, sP24: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_104, type, sP25: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_105, type, sP26: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_106, type, sP27: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_107, type, sP28: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_108, type, sP29: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_109, type, sP30: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_110, type, sP31: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_111, type, sP32: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_112, type, sP33: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_113, type, sP34: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_114, type, sP35: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_115, type, sP36: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_116, type, sP37: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_117, type, sP38: (extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_118, type, sP39: (extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_119, type, sP40: (extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_120, type, sP41: (extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_121, type, sP42: (extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_122, type, sP43: (extended_ereal > extended_ereal > $o)).
% 0.20/0.38 thf(func_def_123, type, sK44: (set_Extended_ereal > extended_ereal)).
% 0.20/0.38 thf(func_def_124, type, sK45: (extended_ereal > set_Extended_ereal > extended_ereal)).
% 0.20/0.38 thf(func_def_125, type, sK46: (set_Extended_ereal > extended_ereal)).
% 0.20/0.38 thf(func_def_126, type, sK47: (extended_ereal > set_Extended_ereal > extended_ereal)).
% 0.20/0.38 thf(func_def_127, type, sK48: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.20/0.38 thf(func_def_128, type, sK49: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.20/0.38 thf(func_def_129, type, sK50: ((extended_enat > extended_ereal) > extended_enat)).
% 0.20/0.38 thf(func_def_130, type, sK51: ((extended_enat > extended_ereal) > extended_enat)).
% 0.20/0.38 thf(func_def_131, type, sK52: ((nat > extended_ereal) > nat)).
% 0.20/0.38 thf(func_def_132, type, sK53: ((nat > extended_ereal) > nat)).
% 0.20/0.38 thf(func_def_133, type, sK54: ((real > extended_ereal) > real)).
% 0.20/0.38 thf(func_def_134, type, sK55: ((real > extended_ereal) > real)).
% 0.20/0.38 thf(func_def_135, type, sK56: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.20/0.38 thf(func_def_136, type, sK57: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.20/0.38 thf(func_def_137, type, sK58: ((extended_enat > extended_enat) > extended_enat)).
% 0.20/0.38 thf(func_def_138, type, sK59: ((extended_enat > extended_enat) > extended_enat)).
% 0.20/0.38 thf(func_def_139, type, sK60: ((nat > extended_enat) > nat)).
% 0.20/0.38 thf(func_def_140, type, sK61: ((nat > extended_enat) > nat)).
% 0.20/0.38 thf(func_def_141, type, sK62: ((real > extended_enat) > real)).
% 0.20/0.38 thf(func_def_142, type, sK63: ((real > extended_enat) > real)).
% 0.20/0.38 thf(func_def_143, type, sK64: ((extended_ereal > nat) > extended_ereal)).
% 0.20/0.38 thf(func_def_144, type, sK65: ((extended_ereal > nat) > extended_ereal)).
% 0.20/0.38 thf(func_def_145, type, sK66: ((extended_enat > nat) > extended_enat)).
% 0.20/0.38 thf(func_def_146, type, sK67: ((extended_enat > nat) > extended_enat)).
% 0.20/0.38 thf(func_def_147, type, sK68: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.20/0.38 thf(func_def_148, type, sK69: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.20/0.38 thf(func_def_149, type, sK70: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.20/0.38 thf(func_def_150, type, sK71: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.20/0.38 thf(func_def_151, type, sK72: ((extended_ereal > nat) > extended_ereal)).
% 0.20/0.38 thf(func_def_152, type, sK73: ((extended_ereal > nat) > extended_ereal)).
% 0.20/0.38 thf(func_def_153, type, sK74: ((extended_ereal > real) > extended_ereal)).
% 0.20/0.38 thf(func_def_154, type, sK75: ((extended_ereal > real) > extended_ereal)).
% 0.20/0.38 thf(func_def_155, type, sK76: ((extended_enat > extended_ereal) > extended_enat)).
% 0.20/0.38 thf(func_def_156, type, sK77: ((extended_enat > extended_ereal) > extended_enat)).
% 0.20/0.38 thf(func_def_157, type, sK78: ((extended_enat > extended_enat) > extended_enat)).
% 0.20/0.38 thf(func_def_158, type, sK79: ((extended_enat > extended_enat) > extended_enat)).
% 0.20/0.38 thf(func_def_159, type, sK80: ((extended_enat > nat) > extended_enat)).
% 0.20/0.38 thf(func_def_160, type, sK81: ((extended_enat > nat) > extended_enat)).
% 0.20/0.38 thf(func_def_161, type, sK82: ((extended_enat > real) > extended_enat)).
% 0.20/0.38 thf(func_def_162, type, sK83: ((extended_enat > real) > extended_enat)).
% 0.20/0.38 thf(func_def_163, type, sK84: ((nat > extended_ereal) > nat)).
% 0.20/0.38 thf(func_def_164, type, sK85: ((nat > extended_ereal) > nat)).
% 0.20/0.38 thf(func_def_165, type, sK86: ((nat > extended_enat) > nat)).
% 0.20/0.38 thf(func_def_166, type, sK87: ((nat > extended_enat) > nat)).
% 0.20/0.38 thf(func_def_167, type, sK88: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.20/0.38 thf(func_def_168, type, sK89: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.20/0.38 thf(func_def_169, type, sK90: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.20/0.38 thf(func_def_170, type, sK91: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.20/0.38 thf(func_def_171, type, sK92: ((extended_ereal > nat) > extended_ereal)).
% 0.20/0.38 thf(func_def_172, type, sK93: ((extended_ereal > nat) > extended_ereal)).
% 0.20/0.38 thf(func_def_173, type, sK94: ((extended_ereal > real) > extended_ereal)).
% 0.20/0.38 thf(func_def_174, type, sK95: ((extended_ereal > real) > extended_ereal)).
% 0.20/0.38 thf(func_def_175, type, sK96: ((extended_enat > extended_ereal) > extended_enat)).
% 0.20/0.38 thf(func_def_176, type, sK97: ((extended_enat > extended_ereal) > extended_enat)).
% 0.20/0.38 thf(func_def_177, type, sK98: ((extended_enat > extended_enat) > extended_enat)).
% 0.20/0.38 thf(func_def_178, type, sK99: ((extended_enat > extended_enat) > extended_enat)).
% 0.20/0.38 thf(func_def_179, type, sK100: ((extended_enat > nat) > extended_enat)).
% 0.20/0.38 thf(func_def_180, type, sK101: ((extended_enat > nat) > extended_enat)).
% 0.20/0.38 thf(func_def_181, type, sK102: ((extended_enat > real) > extended_enat)).
% 0.20/0.38 thf(func_def_182, type, sK103: ((extended_enat > real) > extended_enat)).
% 0.20/0.38 thf(func_def_183, type, sK104: ((nat > extended_ereal) > nat)).
% 0.20/0.38 thf(func_def_184, type, sK105: ((nat > extended_ereal) > nat)).
% 0.20/0.38 thf(func_def_185, type, sK106: ((nat > extended_enat) > nat)).
% 0.20/0.38 thf(func_def_186, type, sK107: ((nat > extended_enat) > nat)).
% 0.20/0.38 thf(func_def_187, type, sK108: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.20/0.38 thf(func_def_188, type, sK109: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.20/0.38 thf(func_def_189, type, sK110: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.20/0.38 thf(func_def_190, type, sK111: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.20/0.38 thf(func_def_191, type, sK112: ((extended_ereal > nat) > extended_ereal)).
% 0.20/0.38 thf(func_def_192, type, sK113: ((extended_ereal > nat) > extended_ereal)).
% 0.20/0.38 thf(func_def_193, type, sK114: ((extended_ereal > real) > extended_ereal)).
% 0.20/0.38 thf(func_def_194, type, sK115: ((extended_ereal > real) > extended_ereal)).
% 0.20/0.38 thf(func_def_195, type, sK116: ((extended_enat > extended_ereal) > extended_enat)).
% 0.20/0.38 thf(func_def_196, type, sK117: ((extended_enat > extended_ereal) > extended_enat)).
% 0.20/0.38 thf(func_def_197, type, sK118: ((extended_enat > extended_enat) > extended_enat)).
% 0.20/0.38 thf(func_def_198, type, sK119: ((extended_enat > extended_enat) > extended_enat)).
% 0.20/0.38 thf(func_def_199, type, sK120: ((extended_enat > nat) > extended_enat)).
% 0.20/0.38 thf(func_def_200, type, sK121: ((extended_enat > nat) > extended_enat)).
% 0.20/0.38 thf(func_def_201, type, sK122: ((extended_enat > real) > extended_enat)).
% 0.20/0.38 thf(func_def_202, type, sK123: ((extended_enat > real) > extended_enat)).
% 0.20/0.38 thf(func_def_203, type, sK124: ((nat > extended_ereal) > nat)).
% 0.20/0.38 thf(func_def_204, type, sK125: ((nat > extended_ereal) > nat)).
% 0.20/0.38 thf(func_def_205, type, sK126: ((nat > extended_enat) > nat)).
% 0.20/0.38 thf(func_def_206, type, sK127: ((nat > extended_enat) > nat)).
% 0.20/0.38 thf(func_def_207, type, sK128: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.20/0.38 thf(func_def_208, type, sK129: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.20/0.38 thf(func_def_209, type, sK130: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.20/0.38 thf(func_def_210, type, sK131: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.20/0.38 thf(func_def_211, type, sK132: ((extended_enat > extended_enat > $o) > extended_enat)).
% 0.20/0.38 thf(func_def_212, type, sK133: ((extended_enat > extended_enat > $o) > extended_enat)).
% 0.20/0.38 thf(func_def_213, type, sK134: ((extended_enat > extended_enat > $o) > extended_enat)).
% 0.20/0.38 thf(func_def_214, type, sK135: ((extended_enat > extended_enat > $o) > extended_enat)).
% 0.20/0.38 thf(func_def_215, type, sK136: ((nat > nat > $o) > nat)).
% 0.20/0.38 thf(func_def_216, type, sK137: ((nat > nat > $o) > nat)).
% 0.20/0.38 thf(func_def_217, type, sK138: ((nat > nat > $o) > nat)).
% 0.20/0.38 thf(func_def_218, type, sK139: ((nat > nat > $o) > nat)).
% 0.20/0.38 thf(func_def_219, type, sK140: ((real > real > $o) > real)).
% 0.20/0.38 thf(func_def_220, type, sK141: ((real > real > $o) > real)).
% 0.20/0.38 thf(func_def_221, type, sK142: ((real > real > $o) > real)).
% 0.20/0.38 thf(func_def_222, type, sK143: ((real > real > $o) > real)).
% 0.20/0.38 thf(func_def_223, type, sK144: ((a > extended_ereal) > (a > extended_ereal) > a)).
% 0.20/0.38 thf(func_def_224, type, sK145: (extended_ereal > (extended_ereal > $o) > extended_ereal)).
% 0.68/0.38 thf(func_def_225, type, sK146: (extended_enat > (extended_enat > $o) > extended_enat)).
% 0.68/0.38 thf(func_def_226, type, sK147: (real > (real > $o) > real)).
% 0.68/0.38 thf(func_def_227, type, sK148: (nat > (nat > $o) > nat)).
% 0.68/0.38 thf(func_def_228, type, sK149: ((extended_ereal > $o) > (extended_ereal > $o) > extended_ereal)).
% 0.68/0.38 thf(func_def_229, type, sK150: (extended_ereal > (extended_ereal > $o) > extended_ereal)).
% 0.68/0.38 thf(func_def_230, type, sK151: ((extended_enat > $o) > (extended_enat > $o) > extended_enat)).
% 0.68/0.38 thf(func_def_231, type, sK152: (extended_enat > (extended_enat > $o) > extended_enat)).
% 0.68/0.38 thf(func_def_232, type, sK153: ((real > $o) > (real > $o) > real)).
% 0.68/0.38 thf(func_def_233, type, sK154: (real > (real > $o) > real)).
% 0.68/0.38 thf(func_def_234, type, sK155: ((nat > $o) > (nat > $o) > nat)).
% 0.68/0.38 thf(func_def_235, type, sK156: (nat > (nat > $o) > nat)).
% 0.68/0.38 thf(func_def_236, type, sK157: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.68/0.38 thf(func_def_237, type, sK158: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.68/0.38 thf(func_def_238, type, sK159: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.68/0.38 thf(func_def_239, type, sK160: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.68/0.38 thf(func_def_240, type, sK161: ((extended_ereal > nat) > extended_ereal)).
% 0.68/0.38 thf(func_def_241, type, sK162: ((extended_ereal > nat) > extended_ereal)).
% 0.68/0.38 thf(func_def_242, type, sK163: ((extended_ereal > real) > extended_ereal)).
% 0.68/0.38 thf(func_def_243, type, sK164: ((extended_ereal > real) > extended_ereal)).
% 0.68/0.38 thf(func_def_244, type, sK165: ((extended_enat > extended_ereal) > extended_enat)).
% 0.68/0.38 thf(func_def_245, type, sK166: ((extended_enat > extended_ereal) > extended_enat)).
% 0.68/0.38 thf(func_def_246, type, sK167: ((extended_enat > extended_enat) > extended_enat)).
% 0.68/0.38 thf(func_def_247, type, sK168: ((extended_enat > extended_enat) > extended_enat)).
% 0.68/0.38 thf(func_def_248, type, sK169: ((extended_enat > nat) > extended_enat)).
% 0.68/0.38 thf(func_def_249, type, sK170: ((extended_enat > nat) > extended_enat)).
% 0.68/0.38 thf(func_def_250, type, sK171: ((extended_enat > real) > extended_enat)).
% 0.68/0.38 thf(func_def_251, type, sK172: ((extended_enat > real) > extended_enat)).
% 0.68/0.38 thf(func_def_252, type, sK173: ((nat > extended_ereal) > nat)).
% 0.68/0.38 thf(func_def_253, type, sK174: ((nat > extended_ereal) > nat)).
% 0.68/0.38 thf(func_def_254, type, sK175: ((nat > extended_enat) > nat)).
% 0.68/0.38 thf(func_def_255, type, sK176: ((nat > extended_enat) > nat)).
% 0.68/0.38 thf(func_def_256, type, sK177: (extended_enat > nat)).
% 0.68/0.38 thf(func_def_257, type, sK178: (nat > (nat > $o) > nat)).
% 0.68/0.38 thf(func_def_258, type, sK179: (nat > (nat > $o) > nat)).
% 0.68/0.38 thf(func_def_259, type, sK180: (nat > (nat > $o) > nat)).
% 0.68/0.38 thf(func_def_260, type, sK181: ((nat > $o) > nat)).
% 0.68/0.38 thf(func_def_261, type, sK182: (nat > (nat > $o) > nat)).
% 0.68/0.38 thf(func_def_262, type, sK183: (extended_ereal > extended_ereal > real)).
% 0.68/0.38 thf(func_def_263, type, sK184: ((extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_264, type, sK185: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_265, type, sK186: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_266, type, sK187: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_267, type, sK188: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_268, type, sK189: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_269, type, sK190: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_270, type, sK191: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_271, type, sK192: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_272, type, sK193: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_273, type, sK194: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.68/0.38 thf(func_def_274, type, sK195: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.68/0.38 thf(func_def_275, type, sK196: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_276, type, sK197: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_277, type, sK198: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_278, type, sK199: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_279, type, sK200: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.68/0.38 thf(func_def_280, type, sK201: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.68/0.38 thf(func_def_281, type, sK202: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_282, type, sK203: ((extended_ereal > extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_283, type, sK204: ((extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_284, type, sK205: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_285, type, sK206: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_286, type, sK207: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_287, type, sK208: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_288, type, sK209: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_289, type, sK210: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_290, type, sK211: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_291, type, sK212: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_292, type, sK213: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_293, type, sK214: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_294, type, sK215: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_295, type, sK216: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_296, type, sK217: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_297, type, sK218: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_298, type, sK219: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_299, type, sK220: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_300, type, sK221: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_301, type, sK222: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_302, type, sK223: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_303, type, sK224: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_304, type, sK225: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_305, type, sK226: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_306, type, sK227: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_307, type, sK228: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_308, type, sK229: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_309, type, sK230: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_310, type, sK231: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_311, type, sK232: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_312, type, sK233: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_313, type, sK234: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_314, type, sK235: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_315, type, sK236: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_316, type, sK237: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_317, type, sK238: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_318, type, sK239: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_319, type, sK240: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_320, type, sK241: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_321, type, sK242: (real > extended_ereal > real)).
% 0.68/0.38 thf(func_def_322, type, sK243: (extended_ereal > extended_ereal > real)).
% 0.68/0.38 thf(func_def_323, type, sK244: ((extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_324, type, sK245: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_325, type, sK246: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_326, type, sK247: ((extended_ereal > $o) > real)).
% 0.68/0.38 thf(func_def_327, type, sK248: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_328, type, sK249: (extended_ereal > real)).
% 0.68/0.38 thf(func_def_329, type, sK250: ((nat > real) > nat)).
% 0.68/0.38 thf(func_def_330, type, sK251: ((nat > real) > nat)).
% 0.68/0.38 thf(func_def_331, type, sK252: ((nat > nat) > nat)).
% 0.68/0.38 thf(func_def_332, type, sK253: ((nat > nat) > nat)).
% 0.68/0.38 thf(func_def_333, type, sK254: ((nat > extended_enat) > nat)).
% 0.68/0.38 thf(func_def_334, type, sK255: ((nat > extended_enat) > nat)).
% 0.68/0.38 thf(func_def_335, type, sK256: ((nat > extended_ereal) > nat)).
% 0.68/0.38 thf(func_def_336, type, sK257: ((nat > extended_ereal) > nat)).
% 0.68/0.38 thf(func_def_337, type, sK258: ((nat > extended_enat) > nat)).
% 0.68/0.38 thf(func_def_338, type, sK259: ((nat > extended_enat) > nat)).
% 0.68/0.38 thf(func_def_339, type, sK260: ((nat > extended_ereal) > nat)).
% 0.68/0.38 thf(func_def_340, type, sK261: ((nat > extended_ereal) > nat)).
% 0.68/0.38 thf(func_def_341, type, sK262: ((extended_enat > real) > extended_enat)).
% 0.68/0.38 thf(func_def_342, type, sK263: ((extended_enat > real) > extended_enat)).
% 0.68/0.38 thf(func_def_343, type, sK264: ((extended_enat > nat) > extended_enat)).
% 0.68/0.38 thf(func_def_344, type, sK265: ((extended_enat > nat) > extended_enat)).
% 0.68/0.38 thf(func_def_345, type, sK266: ((extended_enat > extended_enat) > extended_enat)).
% 0.68/0.38 thf(func_def_346, type, sK267: ((extended_enat > extended_enat) > extended_enat)).
% 0.68/0.38 thf(func_def_347, type, sK268: ((extended_enat > extended_ereal) > extended_enat)).
% 0.68/0.38 thf(func_def_348, type, sK269: ((extended_enat > extended_ereal) > extended_enat)).
% 0.68/0.38 thf(func_def_349, type, sK270: ((extended_ereal > real) > extended_ereal)).
% 0.68/0.38 thf(func_def_350, type, sK271: ((extended_ereal > real) > extended_ereal)).
% 0.68/0.38 thf(func_def_351, type, sK272: ((extended_ereal > nat) > extended_ereal)).
% 0.68/0.38 thf(func_def_352, type, sK273: ((extended_ereal > nat) > extended_ereal)).
% 0.68/0.38 thf(func_def_353, type, sK274: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.68/0.38 thf(func_def_354, type, sK275: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.68/0.38 thf(func_def_355, type, sK276: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.68/0.38 thf(func_def_356, type, sK277: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.68/0.38 thf(func_def_357, type, sK278: ((nat > extended_enat) > nat)).
% 0.68/0.38 thf(func_def_358, type, sK279: ((nat > extended_enat) > nat)).
% 0.68/0.38 thf(func_def_359, type, sK280: ((nat > extended_ereal) > nat)).
% 0.68/0.38 thf(func_def_360, type, sK281: ((nat > extended_ereal) > nat)).
% 0.68/0.38 thf(func_def_361, type, sK282: ((extended_enat > real) > extended_enat)).
% 0.68/0.38 thf(func_def_362, type, sK283: ((extended_enat > real) > extended_enat)).
% 0.68/0.38 thf(func_def_363, type, sK284: ((extended_enat > nat) > extended_enat)).
% 0.68/0.38 thf(func_def_364, type, sK285: ((extended_enat > nat) > extended_enat)).
% 0.68/0.38 thf(func_def_365, type, sK286: ((extended_enat > extended_enat) > extended_enat)).
% 0.68/0.38 thf(func_def_366, type, sK287: ((extended_enat > extended_enat) > extended_enat)).
% 0.68/0.38 thf(func_def_367, type, sK288: ((extended_enat > extended_ereal) > extended_enat)).
% 0.68/0.38 thf(func_def_368, type, sK289: ((extended_enat > extended_ereal) > extended_enat)).
% 0.68/0.38 thf(func_def_369, type, sK290: ((extended_ereal > real) > extended_ereal)).
% 0.68/0.38 thf(func_def_370, type, sK291: ((extended_ereal > real) > extended_ereal)).
% 0.68/0.38 thf(func_def_371, type, sK292: ((extended_ereal > nat) > extended_ereal)).
% 0.68/0.38 thf(func_def_372, type, sK293: ((extended_ereal > nat) > extended_ereal)).
% 0.68/0.38 thf(func_def_373, type, sK294: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.68/0.38 thf(func_def_374, type, sK295: ((extended_ereal > extended_enat) > extended_ereal)).
% 0.68/0.38 thf(func_def_375, type, sK296: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.68/0.38 thf(func_def_376, type, sK297: ((extended_ereal > extended_ereal) > extended_ereal)).
% 0.68/0.38 thf(func_def_377, type, sK298: ((a > extended_ereal) > (a > extended_ereal) > a)).
% 0.68/0.38 thf(func_def_378, type, sK299: ((a > extended_ereal) > (a > extended_ereal) > a > extended_ereal)).
% 0.68/0.38 thf(func_def_379, type, sK300: ((a > extended_ereal) > (a > extended_ereal) > a)).
% 0.68/0.38 thf(func_def_380, type, sK301: ((a > extended_ereal) > (a > extended_ereal) > a)).
% 0.68/0.38 thf(f1,axiom,(
% 0.68/0.38 ! [X0 : a] : (ord_le824540014_ereal @ (g @ X0) @ (f @ X0))),
% 0.68/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms)).
% 0.68/0.38 thf(f352,conjecture,(
% 0.68/0.38 (ord_le824540014_ereal @ (g @ x) @ (f @ x))),
% 0.68/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.68/0.38 thf(f353,negated_conjecture,(
% 0.68/0.38 ~(ord_le824540014_ereal @ (g @ x) @ (f @ x))),
% 0.68/0.38 inference(negated_conjecture,[status(cth)],[f352])).
% 0.68/0.38 thf(f354,plain,(
% 0.68/0.38 ! [X0 : a] : (ord_le824540014_ereal @ (g @ X0) @ (f @ X0))),
% 0.68/0.38 inference(rectify,[],[f1])).
% 0.68/0.38 thf(f355,plain,(
% 0.68/0.38 ! [X0 : a] : (((ord_le824540014_ereal @ (g @ X0) @ (f @ X0))) = $true)),
% 0.68/0.38 inference(fool_elimination,[],[f354])).
% 0.68/0.38 thf(f902,plain,(
% 0.68/0.38 ~(ord_le824540014_ereal @ (g @ x) @ (f @ x))),
% 0.68/0.38 inference(rectify,[],[f353])).
% 0.68/0.38 thf(f903,plain,(
% 0.68/0.38 ~ (((ord_le824540014_ereal @ (g @ x) @ (f @ x))) = $true)),
% 0.68/0.38 inference(fool_elimination,[],[f902])).
% 0.68/0.38 thf(f922,plain,(
% 0.68/0.38 (((ord_le824540014_ereal @ (g @ x) @ (f @ x))) != $true)),
% 0.68/0.38 inference(flattening,[],[f903])).
% 0.68/0.38 thf(f1548,plain,(
% 0.68/0.38 ( ! [X0 : a] : ((((ord_le824540014_ereal @ (g @ X0) @ (f @ X0))) = $true)) )),
% 0.68/0.38 inference(cnf_transformation,[],[f355])).
% 0.68/0.38 thf(f2163,plain,(
% 0.68/0.38 (((ord_le824540014_ereal @ (g @ x) @ (f @ x))) != $true)),
% 0.68/0.38 inference(cnf_transformation,[],[f922])).
% 0.68/0.38 thf(f2165,definition,(
% 0.68/0.38 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.68/0.38 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.68/0.38 thf(f3029,plain,(
% 0.68/0.38 ($true != $true) | (((ord_le824540014_ereal @ (g @ x) @ (f @ x))) = $false)),
% 0.68/0.38 inference(constrained_superposition,[],[f2163,f2165])).
% 0.68/0.38 thf(f3031,plain,(
% 0.68/0.38 (((ord_le824540014_ereal @ (g @ x) @ (f @ x))) = $false)),
% 0.68/0.38 inference(trivial_inequality_removal,[],[f3029])).
% 0.68/0.38 thf(f3271,plain,(
% 0.68/0.38 ($true = $false)),
% 0.68/0.38 inference(constrained_superposition,[],[f3031,f1548])).
% 0.68/0.38 thf(f3272,plain,(
% 0.68/0.38 $false),
% 0.68/0.38 inference(trivial_inequality_removal,[],[f3271])).
% 0.68/0.38 % SZS output end Proof for theBenchmark
% 0.68/0.38 % (564726)------------------------------
% 0.68/0.38 % (564726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.38 % (564726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.38 % (564726)CaDiCaL version: 2.1.3
% 0.68/0.38 % (564726)Termination reason: Refutation
% 0.68/0.38 % (564726)Time elapsed: 0.088 s
% 0.68/0.38 % (564726)Peak memory usage: 14 MB
% 0.68/0.38 % (564726)Instructions burned: 178 (million)
% 0.68/0.38 % (564720)Success in time 0.153 s
% 0.68/0.38 % Vampire exiting
%------------------------------------------------------------------------------