%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP114^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 0.08s 0.19s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP114^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 19:55:18 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19 % (606744)Will run a generic schedule for satisfiability detection.
% 0.08/0.19 % (606751)% WARNING: option uhcvi not known.
% 0.08/0.19 % (606750)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3708310517_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.19 % (606751)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4169269436:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.19 % (606754)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1817732165:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.19 % (606752)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2797647897:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.19 % (606753)dis+10_1_sil=32000:sp=arity:random_seed=3870030408:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.19 % (606755)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1753095308:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.19 % (606756)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=333394350:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.19 % (606751)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.19 % (606754)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.19 % Exception at run slice level
% 0.08/0.19 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.19 % (606751)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.19 % (606764)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3889545400:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.08/0.19 % (606753)Instruction limit reached!
% 0.08/0.19 % (606753)------------------------------
% 0.08/0.19 % (606753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (606753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (606753)CaDiCaL version: 2.1.3
% 0.08/0.19 % (606753)Termination reason: Instruction limit
% 0.08/0.19 % (606753)Termination phase: Saturation
% 0.08/0.19 % (606753)Time elapsed: 0.026 s
% 0.08/0.19 % (606753)Peak memory usage: 13 MB
% 0.08/0.19 % (606753)Instructions burned: 105 (million)
% 0.08/0.19 % (606754)Instruction limit reached!
% 0.08/0.19 % (606754)------------------------------
% 0.08/0.19 % (606754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (606754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (606754)CaDiCaL version: 2.1.3
% 0.08/0.19 % (606754)Termination reason: Instruction limit
% 0.08/0.19 % (606754)Termination phase: Saturation
% 0.08/0.19 % (606754)Time elapsed: 0.028 s
% 0.08/0.19 % (606754)Peak memory usage: 13 MB
% 0.08/0.19 % (606754)Instructions burned: 116 (million)
% 0.08/0.19 % (606755) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-606744-606755"...
% 0.08/0.19 % (606755)...printing done.
% 0.08/0.19 % (606755)Refutation found. Thanks to Tanya!
% 0.08/0.19 % SZS status Theorem for theBenchmark
% 0.08/0.19 % SZS output start Proof for theBenchmark
% 0.08/0.19 thf(type_def_5, type, extended_ereal: $tType).
% 0.08/0.19 thf(type_def_6, type, extended_enat: $tType).
% 0.08/0.19 thf(type_def_7, type, real: $tType).
% 0.08/0.19 thf(type_def_8, type, set: $tType > $tType).
% 0.08/0.19 thf(type_def_9, type, num: $tType).
% 0.08/0.19 thf(type_def_10, type, nat: $tType).
% 0.08/0.19 thf(type_def_11, type, a: $tType).
% 0.08/0.19 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.08/0.19 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_1, type, zero: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_2, type, numeral: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_3, type, uminus: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_4, type, ord: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_5, type, ring_char_0: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_6, type, neg_numeral: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_7, type, order: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_8, type, group_add: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_9, type, linorder: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_10, type, preorder: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_11, type, semiring_char_0: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_12, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_13, type, linordered_field: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_14, type, boolean_algebra: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_15, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_16, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_17, type, ordere142940540dd_abs: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_18, type, real_V2090557954_space: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_19, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_20, type, topolo259154727pology: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_21, type, topolo503727757_space: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_22, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.08/0.19 thf(func_def_23, type, extended_enat2: (nat > extended_enat)).
% 0.08/0.19 thf(func_def_24, type, extended_case_enat: !>[X0: $tType]:(((nat > X0) > X0 > extended_enat > X0))).
% 0.08/0.19 thf(func_def_25, type, extended_rec_enat: !>[X0: $tType]:(((nat > X0) > X0 > extended_enat > X0))).
% 0.08/0.19 thf(func_def_26, type, extend1396239628finity: !>[X0: $tType]:(X0)).
% 0.08/0.19 thf(func_def_27, type, extended_the_enat: (extended_enat > nat)).
% 0.08/0.19 thf(func_def_28, type, extended_MInfty: extended_ereal).
% 0.08/0.19 thf(func_def_29, type, extended_PInfty: extended_ereal).
% 0.08/0.19 thf(func_def_30, type, extended_ereal2: (real > extended_ereal)).
% 0.08/0.19 thf(func_def_31, type, extended_size_ereal: (extended_ereal > nat)).
% 0.08/0.19 thf(func_def_32, type, extend1771934483f_enat: (extended_enat > extended_ereal)).
% 0.08/0.19 thf(func_def_33, type, extend1716541707_ereal: (extended_ereal > real)).
% 0.08/0.19 thf(func_def_34, type, abs_abs: !>[X0: $tType]:((X0 > X0))).
% 0.08/0.19 thf(func_def_35, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.08/0.19 thf(func_def_36, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.08/0.19 thf(func_def_37, type, lower_107104146le_lsc: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.08/0.19 thf(func_def_38, type, lower_582600101lsc_at: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1) > $o))).
% 0.08/0.19 thf(func_def_39, type, lower_1879122655c_hull: !>[X0: $tType]:(((X0 > extended_ereal) > X0 > extended_ereal))).
% 0.08/0.19 thf(func_def_40, type, neg_numeral_dbl: !>[X0: $tType]:((X0 > X0))).
% 0.08/0.19 thf(func_def_41, type, neg_numeral_sub: !>[X0: $tType]:((num > num > X0))).
% 0.08/0.19 thf(func_def_42, type, numeral_numeral: !>[X0: $tType]:((num > X0))).
% 0.08/0.19 thf(func_def_43, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.08/0.19 thf(func_def_44, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.08/0.19 thf(func_def_45, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.08/0.19 thf(func_def_46, type, order_strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.08/0.19 thf(func_def_47, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.08/0.19 thf(func_def_48, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.08/0.19 thf(func_def_49, type, f: (a > extended_ereal)).
% 0.08/0.19 thf(func_def_50, type, g: (a > extended_ereal)).
% 0.08/0.19 thf(func_def_51, type, x: a).
% 0.08/0.19 thf(func_def_55, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.08/0.19 thf(func_def_56, type, db2: !>[X0: $tType]:(X0)).
% 0.08/0.19 thf(func_def_57, type, db0: !>[X0: $tType]:(X0)).
% 0.08/0.19 thf(func_def_58, type, db1: !>[X0: $tType]:(X0)).
% 0.08/0.19 thf(func_def_59, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.08/0.19 thf(func_def_60, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.08/0.19 thf(func_def_61, type, vAND: ($o > $o > $o)).
% 0.08/0.19 thf(func_def_62, type, vIMP: ($o > $o > $o)).
% 0.08/0.19 thf(func_def_63, type, vOR: ($o > $o > $o)).
% 0.08/0.19 thf(func_def_64, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.08/0.19 thf(func_def_65, type, vNOT: ($o > $o)).
% 0.08/0.19 thf(func_def_66, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.08/0.19 thf(func_def_67, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.08/0.19 thf(func_def_68, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.08/0.19 thf(func_def_69, type, sP3: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.19 thf(func_def_70, type, sP4: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.19 thf(func_def_71, type, sP5: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.19 thf(func_def_72, type, sP6: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.19 thf(func_def_73, type, sP7: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.19 thf(func_def_74, type, sP8: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.19 thf(func_def_75, type, sP9: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.19 thf(func_def_76, type, sP10: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_77, type, sP11: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_78, type, sP12: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_79, type, sP13: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_80, type, sP14: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_81, type, sP15: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_82, type, sP16: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_83, type, sP17: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_84, type, sP18: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_85, type, sP19: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_86, type, sP20: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_87, type, sP21: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_88, type, sP22: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_89, type, sP23: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_90, type, sP24: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_91, type, sP25: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_92, type, sP26: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_93, type, sP27: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_94, type, sP28: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_95, type, sP29: (extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_96, type, sP30: (extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_97, type, sP31: (extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_98, type, sP32: (extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_99, type, sP33: (extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_100, type, sP34: (extended_ereal > extended_ereal > $o)).
% 0.08/0.20 thf(func_def_101, type, sK35: (set @ extended_ereal > extended_ereal)).
% 0.08/0.20 thf(func_def_102, type, sK36: (extended_ereal > set @ extended_ereal > extended_ereal)).
% 0.08/0.20 thf(func_def_103, type, sK37: (set @ extended_ereal > extended_ereal)).
% 0.08/0.20 thf(func_def_104, type, sK38: (extended_ereal > set @ extended_ereal > extended_ereal)).
% 0.08/0.20 thf(func_def_105, type, sK39: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.08/0.20 thf(func_def_106, type, sK40: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.08/0.20 thf(func_def_107, type, sK41: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.08/0.20 thf(func_def_108, type, sK42: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.08/0.20 thf(func_def_109, type, sK43: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.08/0.20 thf(func_def_110, type, sK44: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.08/0.20 thf(func_def_111, type, sK45: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.08/0.20 thf(func_def_112, type, sK46: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.08/0.20 thf(func_def_113, type, sK47: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.08/0.20 thf(func_def_114, type, sK48: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.08/0.20 thf(func_def_115, type, sK49: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.08/0.20 thf(func_def_116, type, sK50: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.08/0.20 thf(func_def_117, type, sK51: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.08/0.20 thf(func_def_118, type, sK52: !>[X0: $tType]:(((X0 > extended_ereal) > (X0 > extended_ereal) > X0))).
% 0.08/0.20 thf(func_def_119, type, sK53: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.08/0.20 thf(func_def_120, type, sK54: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.08/0.20 thf(func_def_121, type, sK55: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.08/0.20 thf(func_def_122, type, sK56: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.08/0.20 thf(func_def_123, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.08/0.20 thf(func_def_124, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.08/0.20 thf(func_def_125, type, sK59: (extended_enat > nat)).
% 0.08/0.20 thf(func_def_126, type, sK60: (nat > (nat > $o) > nat)).
% 0.08/0.20 thf(func_def_127, type, sK61: (nat > (nat > $o) > nat)).
% 0.08/0.20 thf(func_def_128, type, sK62: (nat > (nat > $o) > nat)).
% 0.08/0.20 thf(func_def_129, type, sK63: ((nat > $o) > nat)).
% 0.08/0.20 thf(func_def_130, type, sK64: (nat > (nat > $o) > nat)).
% 0.08/0.20 thf(func_def_131, type, sK65: (extended_ereal > extended_ereal > real)).
% 0.08/0.20 thf(func_def_132, type, sK66: ((extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_133, type, sK67: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_134, type, sK68: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_135, type, sK69: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_136, type, sK70: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_137, type, sK71: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_138, type, sK72: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_139, type, sK73: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_140, type, sK74: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_141, type, sK75: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_142, type, sK76: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.08/0.20 thf(func_def_143, type, sK77: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.08/0.20 thf(func_def_144, type, sK78: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_145, type, sK79: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_146, type, sK80: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_147, type, sK81: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_148, type, sK82: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.08/0.20 thf(func_def_149, type, sK83: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.08/0.20 thf(func_def_150, type, sK84: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_151, type, sK85: ((extended_ereal > extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_152, type, sK86: ((extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_153, type, sK87: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_154, type, sK88: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_155, type, sK89: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_156, type, sK90: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_157, type, sK91: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_158, type, sK92: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_159, type, sK93: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_160, type, sK94: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_161, type, sK95: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_162, type, sK96: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_163, type, sK97: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_164, type, sK98: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_165, type, sK99: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_166, type, sK100: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_167, type, sK101: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_168, type, sK102: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_169, type, sK103: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_170, type, sK104: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_171, type, sK105: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_172, type, sK106: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_173, type, sK107: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_174, type, sK108: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_175, type, sK109: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_176, type, sK110: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_177, type, sK111: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_178, type, sK112: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_179, type, sK113: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_180, type, sK114: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_181, type, sK115: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_182, type, sK116: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_183, type, sK117: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_184, type, sK118: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_185, type, sK119: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_186, type, sK120: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_187, type, sK121: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_188, type, sK122: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_189, type, sK123: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_190, type, sK124: (real > extended_ereal > real)).
% 0.08/0.20 thf(func_def_191, type, sK125: (extended_ereal > extended_ereal > real)).
% 0.08/0.20 thf(func_def_192, type, sK126: ((extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_193, type, sK127: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_194, type, sK128: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_195, type, sK129: ((extended_ereal > $o) > real)).
% 0.08/0.20 thf(func_def_196, type, sK130: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_197, type, sK131: (extended_ereal > real)).
% 0.08/0.20 thf(func_def_198, type, sK132: !>[X0: $tType]:(((X0 > extended_ereal) > (X0 > extended_ereal) > X0))).
% 0.08/0.20 thf(func_def_199, type, sK133: !>[X0: $tType]:(((X0 > extended_ereal) > (X0 > extended_ereal) > X0 > extended_ereal))).
% 0.08/0.20 thf(func_def_200, type, sK134: !>[X0: $tType]:(((X0 > extended_ereal) > (X0 > extended_ereal) > X0))).
% 0.08/0.20 thf(func_def_201, type, sK135: !>[X0: $tType]:(((X0 > extended_ereal) > (X0 > extended_ereal) > X0))).
% 0.08/0.20 thf(f1,axiom,(
% 0.08/0.20 ! [X3 : a] : (ord_less_eq @ extended_ereal @ (g @ X3) @ (f @ X3))),
% 0.08/0.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms)).
% 0.08/0.20 thf(f325,conjecture,(
% 0.08/0.20 (ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x))),
% 0.08/0.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.08/0.20 thf(f326,negated_conjecture,(
% 0.08/0.20 ~(ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x))),
% 0.08/0.20 inference(negated_conjecture,[status(cth)],[f325])).
% 0.08/0.20 thf(f327,plain,(
% 0.08/0.20 ! [X0 : a] : (ord_less_eq @ extended_ereal @ (g @ X0) @ (f @ X0))),
% 0.08/0.20 inference(rectify,[],[f1])).
% 0.08/0.20 thf(f328,plain,(
% 0.08/0.20 ! [X0 : a] : (((ord_less_eq @ extended_ereal @ (g @ X0) @ (f @ X0))) = $true)),
% 0.08/0.20 inference(fool_elimination,[],[f327])).
% 0.08/0.20 thf(f824,plain,(
% 0.08/0.20 ~(ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x))),
% 0.08/0.20 inference(rectify,[],[f326])).
% 0.08/0.20 thf(f825,plain,(
% 0.08/0.20 ~ (((ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x))) = $true)),
% 0.08/0.20 inference(fool_elimination,[],[f824])).
% 0.08/0.20 thf(f835,plain,(
% 0.08/0.20 (((ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x))) != $true)),
% 0.08/0.20 inference(flattening,[],[f825])).
% 0.08/0.20 thf(f1245,plain,(
% 0.08/0.20 ( ! [X0 : a] : ((((ord_less_eq @ extended_ereal @ (g @ X0) @ (f @ X0))) = $true)) )),
% 0.08/0.20 inference(cnf_transformation,[],[f328])).
% 0.08/0.20 thf(f1722,plain,(
% 0.08/0.20 (((ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x))) != $true)),
% 0.08/0.20 inference(cnf_transformation,[],[f835])).
% 0.08/0.20 thf(f1724,definition,(
% 0.08/0.20 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.08/0.20 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.08/0.20 thf(f2160,plain,(
% 0.08/0.20 ($true != $true) | (((ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x))) = $false)),
% 0.08/0.20 inference(constrained_superposition,[],[f1722,f1724])).
% 0.08/0.20 thf(f2162,plain,(
% 0.08/0.20 (((ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x))) = $false)),
% 0.08/0.20 inference(trivial_inequality_removal,[],[f2160])).
% 0.08/0.20 thf(f2167,plain,(
% 0.08/0.20 ($true = $false)),
% 0.08/0.20 inference(forward_demodulation,[],[f2162,f1245])).
% 0.08/0.20 thf(f2168,plain,(
% 0.08/0.20 $false),
% 0.08/0.20 inference(trivial_inequality_removal,[],[f2167])).
% 0.08/0.20 % SZS output end Proof for theBenchmark
% 0.08/0.20 % (606755)------------------------------
% 0.08/0.20 % (606755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.20 % (606755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.20 % (606755)CaDiCaL version: 2.1.3
% 0.08/0.20 % (606755)Termination reason: Refutation
% 0.08/0.20 % (606755)Time elapsed: 0.029 s
% 0.08/0.20 % (606755)Peak memory usage: 14 MB
% 0.08/0.20 % (606755)Instructions burned: 115 (million)
% 0.08/0.20 % (606744)Success in time 0.07 s
% 0.08/0.20 % Vampire exiting
%------------------------------------------------------------------------------