TSTP Solution File: GRP125-3.005 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP125-3.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:24:33 EDT 2023

% Result   : Unsatisfiable 0.74s 0.96s
% Output   : Proof 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP125-3.005 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.17/0.35  % Computer : n025.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Mon Aug 28 21:58:25 EDT 2023
% 0.17/0.35  % CPUTime    : 
% 0.22/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ZeWzI3v7U8/cvc5---1.0.5_30729.p...
% 0.22/0.50  ------- get file name : TPTP file name is GRP125-3.005
% 0.22/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30729.smt2...
% 0.22/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.74/0.96  % SZS status Unsatisfiable for GRP125-3.005
% 0.74/0.96  % SZS output start Proof for GRP125-3.005
% 0.74/0.98  (
% 0.74/0.98  (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product X Y Z1)) (not (tptp.product Y X Z2)) (tptp.product Z1 Z2 X))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.product X X X)))) (let ((_let_3 (forall ((W $$unsorted) (Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (tptp.product W Y X)) (not (tptp.product Z Y X)) (tptp.equalish W Z))))) (let ((_let_4 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X W Y)) (not (tptp.product X Z Y)) (tptp.equalish W Z))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y W)) (not (tptp.product X Y Z)) (tptp.equalish W Z))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product X Y tptp.e_1) (tptp.product X Y tptp.e_2) (tptp.product X Y tptp.e_3) (tptp.product X Y tptp.e_4) (tptp.product X Y tptp.e_5))))) (let ((_let_7 (tptp.equalish tptp.e_5 tptp.e_4))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.equalish tptp.e_5 tptp.e_3))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.equalish tptp.e_5 tptp.e_2))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.equalish tptp.e_5 tptp.e_1))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.equalish tptp.e_4 tptp.e_5))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.equalish tptp.e_4 tptp.e_3))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.equalish tptp.e_4 tptp.e_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.equalish tptp.e_4 tptp.e_1))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.equalish tptp.e_3 tptp.e_5))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.equalish tptp.e_3 tptp.e_4))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.equalish tptp.e_3 tptp.e_2))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.equalish tptp.e_3 tptp.e_1))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.equalish tptp.e_2 tptp.e_5))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.equalish tptp.e_2 tptp.e_4))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.equalish tptp.e_2 tptp.e_3))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.equalish tptp.e_2 tptp.e_1))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.equalish tptp.e_1 tptp.e_5))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.equalish tptp.e_1 tptp.e_4))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.group_element tptp.e_5))) (let ((_let_48 (tptp.group_element tptp.e_4))) (let ((_let_49 (tptp.group_element tptp.e_3))) (let ((_let_50 (tptp.group_element tptp.e_2))) (let ((_let_51 (tptp.group_element tptp.e_1))) (let ((_let_52 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted)) (or (not (tptp.cycle X Y)) 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(tptp.cycle X tptp.e_4))))) (let ((_let_58 (tptp.greater tptp.e_5 tptp.e_2))) (let ((_let_59 (tptp.greater tptp.e_4 tptp.e_2))) (let ((_let_60 (tptp.greater tptp.e_3 tptp.e_2))) (let ((_let_61 (tptp.greater tptp.e_5 tptp.e_1))) (let ((_let_62 (tptp.greater tptp.e_4 tptp.e_1))) (let ((_let_63 (tptp.greater tptp.e_3 tptp.e_1))) (let ((_let_64 (tptp.greater tptp.e_4 tptp.e_0))) (let ((_let_65 (tptp.greater tptp.e_3 tptp.e_0))) (let ((_let_66 (tptp.greater tptp.e_2 tptp.e_0))) (let ((_let_67 (tptp.greater tptp.e_1 tptp.e_0))) (let ((_let_68 (tptp.next tptp.e_4 tptp.e_5))) (let ((_let_69 (tptp.next tptp.e_3 tptp.e_4))) (let ((_let_70 (tptp.next tptp.e_2 tptp.e_3))) (let ((_let_71 (tptp.next tptp.e_1 tptp.e_2))) (let ((_let_72 (tptp.next tptp.e_0 tptp.e_1))) (let ((_let_73 (tptp.product tptp.e_1 tptp.e_3 tptp.e_5))) (let ((_let_74 (tptp.product tptp.e_1 tptp.e_3 tptp.e_4))) (let ((_let_75 (tptp.product tptp.e_1 tptp.e_3 tptp.e_3))) (let ((_let_76 (tptp.product tptp.e_1 tptp.e_3 tptp.e_2))) (let ((_let_77 (tptp.product tptp.e_1 tptp.e_3 tptp.e_1))) (let ((_let_78 (not _let_49))) (let ((_let_79 (not _let_51))) (let ((_let_80 (or _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73))) (let ((_let_81 (ASSUME :args (_let_51)))) (let ((_let_82 (ASSUME :args (_let_49)))) (let ((_let_83 (_let_6))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_83)) _let_84 :args (_let_80 false _let_6)))) (let ((_let_87 (tptp.product tptp.e_4 tptp.e_4 tptp.e_3))) (let ((_let_88 (not _let_74))) (let ((_let_89 (tptp.product tptp.e_3 tptp.e_1 tptp.e_4))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_88 _let_87))) (let ((_let_92 (_let_1))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 (not (= (tptp.product Z1 Z2 X) true)))) (let ((_let_95 (not (= (tptp.product X Y Z1) false)))) (let ((_let_96 (_let_95 _let_94))) (let ((_let_97 (not _let_87))) (let ((_let_98 (tptp.product tptp.e_4 tptp.e_4 tptp.e_4))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97 _let_17))) (let ((_let_101 (_let_5))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (not (= (tptp.product X Y W) false)))) (let ((_let_104 (_let_2))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 ((not (= (tptp.product X X X) true))))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_98 false _let_2)))) (let ((_let_108 (ASSUME :args (_let_18)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_17 _let_97 _let_99 (not _let_100)))) _let_108 _let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.e_4 tptp.e_4 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((_let_132 (or _let_131 _let_130 _let_23))) (let ((_let_133 (_let_3))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 (not (= (tptp.product Z Y X) false)))) (let ((_let_136 ((not (= (tptp.product W Y X) false)) _let_135))) (let ((_let_137 (tptp.product tptp.e_5 tptp.e_1 tptp.e_5))) (let ((_let_138 (tptp.product tptp.e_5 tptp.e_1 tptp.e_4))) (let ((_let_139 (tptp.product tptp.e_5 tptp.e_1 tptp.e_3))) (let ((_let_140 (tptp.product tptp.e_5 tptp.e_1 tptp.e_1))) (let ((_let_141 (not _let_47))) (let ((_let_142 (or _let_141 _let_79 _let_140 _let_129 _let_139 _let_138 _let_137))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.e_5 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_83)) _let_84 :args (_let_142 false _let_6)))) (let ((_let_144 (tptp.product tptp.e_5 tptp.e_5 tptp.e_5))) (let ((_let_145 (not _let_144))) (let ((_let_146 (not _let_137))) (let ((_let_147 (or _let_146 _let_145 _let_39))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.e_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_144 false _let_2)))) (let ((_let_149 (ASSUME :args (_let_40)))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_39 _let_146 _let_145 (not _let_147)))) _let_149 _let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.e_5 tptp.e_1 tptp.e_5 tptp.e_5 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_121)) _let_122 :args (_let_147 false _let_4)) :args (_let_146 true _let_39 false _let_144 false _let_147)))) (let ((_let_151 (tptp.product tptp.e_2 tptp.e_5 tptp.e_3))) (let ((_let_152 (tptp.product tptp.e_1 tptp.e_5 tptp.e_2))) (let ((_let_153 (tptp.product tptp.e_4 tptp.e_1 tptp.e_5))) (let ((_let_154 (not _let_138))) (let ((_let_155 (not _let_151))) (let ((_let_156 (tptp.product tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_157 (not _let_156))) (let 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_5 QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_133)) _let_134 :args (_let_351 false _let_3)))) (let ((_let_353 (REORDERING (CNF_OR_POS :args (_let_351)) :args ((or _let_31 _let_157 _let_350 (not _let_351)))))) (let ((_let_354 (MACRO_RESOLUTION_TRUST _let_353 _let_300 _let_339 _let_352 :args (_let_350 true _let_31 false _let_156 false _let_351)))) (let ((_let_355 (or _let_154 _let_343 _let_342))) (let ((_let_356 (tptp.product tptp.e_2 tptp.e_2 tptp.e_1))) (let ((_let_357 (or _let_343 _let_130 _let_356))) (let ((_let_358 (not (= (tptp.product Y X Z2) false)))) (let ((_let_359 (_let_95 _let_358))) (let ((_let_360 (not _let_356))) (let ((_let_361 (or _let_170 _let_360 _let_37))) (let ((_let_362 (_let_103 (not (= (tptp.product X Y Z) false))))) (let ((_let_363 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_361)) :args ((or _let_37 _let_360 _let_170 (not _let_361)))) _let_182 _let_173 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.e_3 tptp.e_2 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_92)) _let_93 :args (_let_612 false _let_1)) _let_109 :args ((or _let_218 _let_540 _let_527) true _let_618 true _let_617 false _let_619 false _let_49 false _let_50 true _let_538 false _let_616 true _let_613 false _let_615 true _let_610 false _let_612 true _let_87)) _let_609 _let_608 _let_607 _let_599 _let_598 _let_149 _let_260 _let_168 _let_183 _let_175 _let_338 _let_244 _let_81 _let_597 _let_596 _let_593 _let_590 _let_366 _let_303 (REORDERING (CNF_OR_POS :args (_let_571)) :args ((or _let_41 _let_186 _let_543 (not _let_571)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.e_2 tptp.e_1 tptp.e_5 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_121)) _let_122 :args (_let_571 false _let_4)) _let_328 _let_589 _let_588 _let_587 (REORDERING (CNF_OR_POS :args (_let_568)) :args ((or _let_25 _let_507 _let_567 (not _let_568)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.e_3 tptp.e_2 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_133)) _let_134 :args (_let_568 false _let_3)) _let_491 (REORDERING (CNF_OR_POS :args (_let_566)) :args ((or _let_130 _let_430 _let_542 (not _let_566)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.e_5 tptp.e_1 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_92)) _let_93 :args (_let_566 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_565)) :args ((or _let_130 _let_430 _let_564 (not _let_565)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.e_1 tptp.e_5 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_92)) _let_93 :args (_let_565 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_563)) :args ((or _let_41 _let_130 _let_528 (not _let_563)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.e_5 tptp.e_1 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_121)) _let_122 :args (_let_563 false _let_4)) _let_328 _let_557 _let_300 _let_556 _let_122 :args ((or _let_524 _let_130 _let_430) false _let_586 true _let_43 false _let_580 true _let_582 true _let_581 false _let_583 false _let_49 false _let_50 false _let_576 true _let_578 true _let_577 false _let_579 false _let_50 false _let_51 true _let_536 true _let_573 false _let_575 true _let_572 true _let_218 false _let_534 true _let_39 false _let_156 false _let_167 true _let_165 true _let_164 true _let_163 false _let_50 false _let_51 false _let_502 true _let_532 true _let_531 false _let_533 false _let_47 false _let_48 true _let_162 false _let_571 true _let_41 true _let_530 false _let_570 true _let_11 true _let_506 false _let_568 true _let_25 false _let_542 false _let_566 false _let_564 false _let_565 true _let_527 false _let_563 true _let_41 true _let_511 true _let_31 false _let_513 false _let_4)) (REORDERING (CNF_OR_POS :args (_let_526)) :args ((or _let_17 _let_525 _let_522 (not _let_526)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.e_4 tptp.e_5 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_133)) _let_134 :args (_let_526 false _let_3)) _let_108 (REORDERING (CNF_OR_POS :args (_let_523)) :args ((or _let_39 _let_131 _let_522 (not _let_523)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_5 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_121)) _let_122 :args (_let_523 false _let_4)) _let_149 (REORDERING (CNF_OR_POS :args (_let_521)) :args ((or _let_78 _let_141 _let_408 _let_520 _let_519 _let_515 _let_518 (not _let_521)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_562)) :args ((or _let_23 _let_561 _let_145 (not _let_562)))) _let_324 _let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.e_3 tptp.e_5 tptp.e_5 tptp.e_5 QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_133)) _let_134 :args (_let_562 false _let_3)) :args (_let_561 true _let_23 false _let_144 false _let_562)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_559)) :args ((or _let_9 _let_558 _let_119 (not _let_559)))) _let_226 _let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.e_3 tptp.e_5 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_121)) _let_122 :args (_let_559 false _let_4)) :args (_let_558 true _let_9 false _let_118 false _let_559)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.e_3 tptp.e_5 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_83)) _let_84 :args (_let_521 false _let_6)) _let_366 _let_82 (REORDERING (CNF_OR_POS :args (_let_517)) :args ((or _let_43 _let_430 _let_516 (not _let_517)))) _let_497 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.e_1 tptp.e_5 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_489)) :args _let_133)) (REORDERING (CNF_OR_POS :args (_let_514)) :args ((or _let_9 _let_430 _let_88 (not _let_514)))) _let_226 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.e_1 tptp.e_5 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_121)) _let_557 _let_300 _let_556 _let_122 _let_482 _let_174 _let_480 _let_134 :args ((or _let_408 _let_430) false _let_555 false _let_374 true _let_406 true _let_404 false _let_407 false _let_48 false _let_51 false _let_214 true _let_222 true _let_221 false _let_223 false _let_48 false _let_51 true _let_405 false _let_554 true _let_45 true _let_153 false _let_488 true _let_25 false _let_550 true _let_551 true _let_549 false _let_552 false _let_48 false _let_50 false _let_110 true _let_111 false _let_114 true _let_113 false _let_49 false _let_51 true _let_546 false _let_548 true _let_15 true _let_542 false _let_545 true _let_25 true _let_89 false _let_541 true _let_45 false _let_415 true _let_423 true _let_421 false _let_424 false _let_47 false _let_50 false _let_538 false _let_539 false _let_536 false _let_537 true _let_151 false _let_535 true _let_33 true _let_218 false _let_534 true _let_39 false _let_502 true _let_532 true _let_531 false _let_533 false _let_47 false _let_48 true _let_530 true _let_401 false _let_529 true _let_39 false _let_527 true _let_129 true _let_524 false _let_526 true _let_17 true _let_112 false _let_523 true _let_39 false _let_520 true _let_518 true _let_519 false _let_521 false _let_47 false _let_49 true _let_515 true _let_43 false _let_517 true _let_74 true _let_9 false _let_514 true _let_511 true _let_31 false _let_513 false _let_4 true _let_422 true _let_45 false _let_431 false _let_3)))) (let ((_let_715 (or _let_505 _let_419 _let_21))) (let ((_let_716 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.e_4 tptp.e_5 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_133)) _let_134 :args (_let_715 false _let_3)))) (let ((_let_717 (REORDERING (CNF_OR_POS :args (_let_715)) :args ((or _let_21 _let_505 _let_419 (not _let_715)))))) (let ((_let_718 (tptp.product tptp.e_2 tptp.e_2 tptp.e_4))) (let ((_let_719 (or _let_525 _let_528 _let_718))) (let ((_let_720 (or _let_512 _let_540 _let_43))) (let ((_let_721 (or _let_157 _let_585 _let_520))) (let ((_let_722 (or _let_522 _let_411 _let_37))) (let ((_let_723 (not _let_718))) (let ((_let_724 (or _let_723 _let_170 _let_19))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_681 (MACRO_RESOLUTION_TRUST _let_691 _let_491 (MACRO_RESOLUTION_TRUST _let_457 _let_81 _let_303 _let_456 (MACRO_RESOLUTION_TRUST _let_459 _let_349 _let_510 _let_458 :args (_let_409 false _let_153 true _let_408 false _let_410)) _let_453 (MACRO_RESOLUTION_TRUST _let_449 _let_349 (MACRO_RESOLUTION_TRUST _let_448 (MACRO_RESOLUTION_TRUST _let_447 _let_446 _let_606 (MACRO_RESOLUTION_TRUST _let_445 _let_257 :args (_let_397 false _let_53)) :args (_let_395 false _let_61 false _let_392 false _let_397)) (MACRO_RESOLUTION_TRUST _let_434 _let_93 :args (_let_379 false _let_1)) :args (_let_378 true _let_377 false _let_379)) (MACRO_RESOLUTION_TRUST _let_433 _let_93 :args (_let_376 false _let_1)) :args (_let_375 false _let_153 true _let_373 false _let_376)) _let_450 :args (_let_401 false _let_51 false _let_48 true _let_406 true _let_405 true _let_404 true _let_374 false _let_407)) _let_690 :args (_let_650 true _let_25 false _let_401 false _let_651)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_504)) :args ((or _let_90 _let_502 _let_503 (not _let_504)))) _let_494 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_674 _let_673 _let_670 _let_667 (MACRO_RESOLUTION_TRUST _let_714 _let_479 _let_478 _let_475 _let_472 _let_366 _let_81 (REORDERING (CNF_OR_POS :args (_let_722)) :args ((or _let_37 _let_411 _let_522 (not _let_722)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.e_3 tptp.e_5 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_362)) :args _let_101)) _let_102 :args (_let_722 false _let_5)) _let_182 _let_371 _let_354 (REORDERING (CNF_OR_POS :args (_let_721)) :args ((or _let_157 _let_585 _let_520 (not _let_721)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_5 QUANTIFIERS_INST_E_MATCHING _let_432)) :args _let_92)) _let_93 :args (_let_721 false _let_1)) _let_339 _let_703 _let_702 _let_307 _let_631 _let_630 _let_627 (MACRO_RESOLUTION_TRUST _let_609 _let_339 _let_607 _let_608 :args (_let_574 false _let_156 true _let_572 false _let_575)) _let_624 _let_244 _let_81 (REORDERING (CNF_OR_POS :args (_let_720)) :args ((or _let_43 _let_512 _let_540 (not _let_720)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.e_1 tptp.e_2 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_489)) :args _let_133)) _let_134 :args (_let_720 false _let_3)) _let_497 _let_717 _let_716 _let_307 _let_709 _let_708 _let_597 _let_596 _let_593 _let_590 _let_366 _let_303 _let_701 _let_700 _let_334 (REORDERING (CNF_OR_POS :args (_let_719)) :args ((or _let_525 _let_718 _let_528 (not _let_719)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.e_4 tptp.e_5 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_92)) _let_93 :args (_let_719 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_724)) :args ((or _let_19 _let_170 _let_723 (not _let_724)))) _let_686 _let_173 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.e_2 tptp.e_2 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_362)) :args _let_101)) _let_102 :args (_let_724 false _let_5)) :args (_let_723 true _let_19 false _let_169 false _let_724)) :args (_let_528 false _let_426 true _let_427 true _let_425 false _let_428 false _let_47 false _let_51 true _let_408 false _let_722 true _let_37 true _let_152 true _let_139 false _let_520 false _let_721 false _let_156 true _let_342 false _let_693 true _let_21 false _let_576 true _let_578 true _let_577 true _let_573 false _let_579 false _let_50 false _let_51 true _let_511 false _let_720 true _let_43 true _let_418 false _let_715 true _let_21 false _let_536 false _let_537 false _let_502 true _let_532 true _let_531 false _let_533 false _let_47 false _let_48 true _let_530 false _let_692 true _let_162 true _let_524 false _let_719 true _let_718)) _let_366 _let_303 (MACRO_RESOLUTION_TRUST _let_365 _let_364 _let_363 _let_370 _let_369 _let_150 _let_143 _let_366 _let_81 _let_479 _let_478 _let_475 _let_472 _let_366 _let_81 _let_680 _let_679 _let_324 _let_717 _let_716 _let_307 _let_678 _let_677 :args ((or _let_139 _let_505 _let_426 _let_639) false _let_357 true _let_356 false _let_129 true _let_140 true _let_137 false _let_142 false _let_47 false _let_51 false _let_152 true _let_427 true _let_425 false _let_428 false _let_47 false _let_51 true _let_138 false _let_655 true _let_23 true _let_418 false _let_715 true _let_21 false _let_89 false _let_654)) _let_354 _let_666 _let_665 _let_664 :args ((or _let_505 _let_426) true _let_642 true _let_641 false _let_644 true _let_527 false _let_47 false _let_48 true _let_638 true _let_139 true _let_643 false _let_653 true _let_652)) (MACRO_RESOLUTION_TRUST _let_714 _let_510 :args (_let_430 true _let_408)) :args (_let_505 true _let_426)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.e_3 tptp.e_1 tptp.e_4 tptp.e_5 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_92)) _let_93 :args (_let_504 false _let_1)) :args (_let_503 false _let_89 true _let_502 false _let_504)) _let_501 _let_498 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_90 _let_87 _let_88 (not _let_91)))) _let_494 _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.e_3 tptp.e_1 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_92)) _let_93 :args (_let_91 false _let_1)) :args (_let_88 false _let_89 true _let_87 false _let_91)) _let_86 _let_82 _let_81 :args (false true _let_76 true _let_73 true _let_77 true _let_75 true _let_74 false _let_80 false _let_49 false _let_51)) :args (_let_72 _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 (tptp.greater tptp.e_5 tptp.e_0) (tptp.greater tptp.e_2 tptp.e_1) _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 (tptp.greater tptp.e_4 tptp.e_3) (tptp.greater tptp.e_5 tptp.e_3) (tptp.greater tptp.e_5 tptp.e_4) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.cycle X Y)) (not (tptp.cycle X Z)) (tptp.equalish Y Z))) _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_44 _let_42 _let_40 _let_38 _let_36 _let_34 _let_32 _let_30 _let_28 _let_26 _let_24 _let_22 _let_20 _let_18 _let_16 _let_14 _let_12 _let_10 _let_8 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.74/0.98  )
% 0.74/0.99  % SZS output end Proof for GRP125-3.005
% 0.74/0.99  % cvc5---1.0.5 exiting
% 0.74/0.99  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------