TSTP Solution File: KRS147+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS147+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 05:41:37 EDT 2023
% Result : Theorem 2.36s 2.56s
% Output : Proof 2.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS147+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 01:34:46 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 2.36/2.56 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.sG6PuL9nri/cvc5---1.0.5_13808.p...
% 2.36/2.56 ------- get file name : TPTP file name is KRS147+1
% 2.36/2.56 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13808.smt2...
% 2.36/2.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.36/2.56 % SZS status Theorem for KRS147+1
% 2.36/2.56 % SZS output start Proof for KRS147+1
% 2.36/2.56 (
% 2.36/2.56 (let ((_let_1 (tptp.cC58 tptp.iV8472))) (let ((_let_2 (tptp.cowlThing tptp.iV8472))) (let ((_let_3 (tptp.cC60 tptp.iV8472))) (let ((_let_4 (tptp.cC80 tptp.iV8471))) (let ((_let_5 (tptp.cowlThing tptp.iV8471))) (let ((_let_6 (tptp.cC34 tptp.iV8467))) (let ((_let_7 (tptp.cC62 tptp.iV8467))) (let ((_let_8 (tptp.cowlThing tptp.iV8467))) (let ((_let_9 (tptp.cC20 tptp.iV8467))) (let ((_let_10 (tptp.cC8 tptp.iV8467))) (let ((_let_11 (tptp.cC14 tptp.iV8467))) (let ((_let_12 (tptp.cC82 tptp.iV8467))) (let ((_let_13 (tptp.cC4 tptp.iV8467))) (let ((_let_14 (tptp.cC48 tptp.iV8467))) (let ((_let_15 (tptp.cC10 tptp.iV8467))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_17 (not (and (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))) (let ((_let_18 (tptp.cC2 tptp.iV8476))) (let ((_let_19 (tptp.cC32 tptp.iV8474))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.rR1 tptp.iV8472 tptp.iV8476))) (let ((_let_22 (tptp.cC2 tptp.iV8472))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.cC78 tptp.iV8471))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.cC2 tptp.iV8471))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.cTOP tptp.iV8470))) (let ((_let_29 (tptp.cC6 tptp.iV8469))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.rR1 tptp.iV8467 tptp.iV8470))) (let ((_let_32 (tptp.rR1 tptp.iV8467 tptp.iV8474))) (let ((_let_33 (tptp.rR1 tptp.iV8467 tptp.iV8472))) (let ((_let_34 (tptp.rR1 tptp.iV8467 tptp.iV8469))) (let ((_let_35 (tptp.rR1 tptp.iV8467 tptp.iV8471))) (let ((_let_36 (forall ((X $$unsorted)) (= (tptp.cC82 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC80 Y))))))) (let ((_let_37 (forall ((X $$unsorted)) (= (tptp.cC80 X) (and (not (tptp.cC2 X)) (not (tptp.cC78 X))))))) (let ((_let_38 (forall ((X $$unsorted)) (= (tptp.cC8 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (not (tptp.cC6 Y)))))))) (let ((_let_39 (forall ((X $$unsorted)) (= (tptp.cC62 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC60 Y))))))) (let ((_let_40 (forall ((X $$unsorted)) (= (tptp.cC60 X) (and (tptp.cC58 X) (not (tptp.cC2 X))))))) (let ((_let_41 (forall ((X $$unsorted)) (= (tptp.cC58 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC2 Y))))))) (let ((_let_42 (forall ((X $$unsorted)) (= (tptp.cC48 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (not (tptp.cC2 Y)))))))) (let ((_let_43 (forall ((X $$unsorted)) (= (tptp.cC4 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (not (tptp.cC2 Y)))))))) (let ((_let_44 (forall ((X $$unsorted)) (= (tptp.cC34 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (not (tptp.cC32 Y)))))))) (let ((_let_45 (forall ((X $$unsorted)) (= (tptp.cC20 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (not (tptp.cC2 Y)))))))) (let ((_let_46 (forall ((X $$unsorted)) (= (tptp.cC14 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cTOP Y))))))) (let ((_let_47 (forall ((X $$unsorted)) (= (tptp.cC10 X) (and (tptp.cC4 X) (tptp.cC8 X)))))) (let ((_let_48 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_49 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_50 (forall ((Y $$unsorted)) (or (not (tptp.rR1 tptp.iV8467 Y)) (not (tptp.cC80 Y)))))) (let ((_let_51 (not _let_4))) (let ((_let_52 (not _let_35))) (let ((_let_53 (or _let_52 _let_51))) (let ((_let_54 (not _let_50))) (let ((_let_55 (= _let_12 _let_54))) (let ((_let_56 (forall ((X $$unsorted)) (= (tptp.cC82 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rR1 X Y)) (not (tptp.cC80 Y))))))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (forall ((BOUND_VARIABLE_1605 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_1605))))) (let ((_let_59 (forall ((BOUND_VARIABLE_1600 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_1600)))) (let ((_let_60 (not _let_12))) (let ((_let_61 (forall ((BOUND_VARIABLE_1250 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_1250))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (forall ((BOUND_VARIABLE_1245 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_1245)))) (let ((_let_64 (forall ((Y $$unsorted)) (or (not (tptp.rR1 tptp.iV8472 Y)) (not (tptp.cC2 Y)))))) (let ((_let_65 (not _let_64))) (let ((_let_66 (= _let_1 _let_65))) (let ((_let_67 (forall ((X $$unsorted)) (= (tptp.cC58 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rR1 X Y)) (not (tptp.cC2 Y))))))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (not _let_18))) (let ((_let_70 (not _let_21))) (let ((_let_71 (or _let_70 _let_69))) (let ((_let_72 (not _let_71))) (let ((_let_73 (_let_64))) (let ((_let_74 (not _let_66))) (let ((_let_75 (or))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_66)) (CONG (REFL :args (_let_74)) (REFL :args (_let_1)) (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_75)) :args ((or _let_1 _let_64 _let_74))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_73) :args (tptp.iV8476 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rR1 tptp.iV8472 Y) false))))) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_69 _let_72))) (ASSUME :args (_let_21)) (ASSUME :args (_let_18)) :args (_let_72 false _let_21 false _let_18)) :args (_let_65 true _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.iV8472 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC58 X)))) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_1 true _let_64 false _let_66)))) (let ((_let_77 (and _let_1 _let_23))) (let ((_let_78 (= _let_3 _let_77))) (let ((_let_79 (_let_40))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (not _let_1))) (let ((_let_82 (_let_77))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_78)) :args ((or _let_3 (not _let_77) (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_82) (CONG (REFL :args _let_82) (REFL :args (_let_81)) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_75)) :args ((or _let_22 _let_81 _let_77))) (ASSUME :args (_let_23)) _let_76 :args (_let_77 true _let_22 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.iV8472 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC60 X)))) :args _let_79)) _let_80 :args (_let_78 false _let_40)) :args (_let_3 false _let_77 false _let_78)))) (let ((_let_84 (and _let_27 _let_25))) (let ((_let_85 (= _let_4 _let_84))) (let ((_let_86 (_let_37))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (ASSUME :args (_let_27)))) (let ((_let_89 (_let_84))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_85)) :args ((or _let_4 (not _let_84) (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_89) (CONG (REFL :args _let_89) (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_75)) :args ((or _let_26 _let_24 _let_84))) _let_88 (ASSUME :args (_let_25)) :args (_let_84 true _let_26 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.iV8471 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC80 X)))) :args _let_86)) _let_87 :args (_let_85 false _let_37)) :args (_let_4 false _let_84 false _let_85)))) (let ((_let_91 (forall ((Y $$unsorted)) (or (not (tptp.rR1 tptp.iV8467 Y)) (tptp.cC32 Y))))) (let ((_let_92 (not _let_91))) (let ((_let_93 (= _let_6 _let_92))) (let ((_let_94 (forall ((X $$unsorted)) (= (tptp.cC34 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rR1 X Y)) (tptp.cC32 Y)))))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (not _let_32))) (let ((_let_97 (or _let_96 _let_19))) (let ((_let_98 (not _let_97))) (let ((_let_99 (_let_91))) (let ((_let_100 (not _let_93))) (let ((_let_101 (forall ((Y $$unsorted)) (or (not (tptp.rR1 tptp.iV8467 Y)) (not (tptp.cC60 Y)))))) (let ((_let_102 (not _let_101))) (let ((_let_103 (= _let_7 _let_102))) (let ((_let_104 (forall ((X $$unsorted)) (= (tptp.cC62 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rR1 X Y)) (not (tptp.cC60 Y))))))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (not _let_3))) (let ((_let_107 (not _let_33))) (let ((_let_108 (or _let_107 _let_106))) (let ((_let_109 (not _let_108))) (let ((_let_110 (_let_101))) (let ((_let_111 (not _let_103))) (let ((_let_112 (forall ((Y $$unsorted)) (or (not (tptp.rR1 tptp.iV8467 Y)) (tptp.cC2 Y))))) (let ((_let_113 (not _let_112))) (let ((_let_114 (= _let_9 _let_113))) (let ((_let_115 (forall ((X $$unsorted)) (= (tptp.cC20 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rR1 X Y)) (tptp.cC2 Y)))))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (or _let_52 _let_26))) (let ((_let_118 (not _let_117))) (let ((_let_119 (ASSUME :args (_let_35)))) (let ((_let_120 (_let_112))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_120) :args (tptp.iV8471 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rR1 tptp.iV8467 Y) false))))) :args _let_120)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_26 _let_52 _let_118))) _let_88 _let_119 :args (_let_118 true _let_26 false _let_35)) :args (_let_113 true _let_117)))) (let ((_let_122 (not _let_114))) (let ((_let_123 (forall ((Y $$unsorted)) (or (not (tptp.rR1 tptp.iV8467 Y)) (tptp.cC6 Y))))) (let ((_let_124 (not _let_123))) (let ((_let_125 (= _let_10 _let_124))) (let ((_let_126 (forall ((X $$unsorted)) (= (tptp.cC8 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rR1 X Y)) (tptp.cC6 Y)))))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (not _let_34))) (let ((_let_129 (or _let_128 _let_29))) (let ((_let_130 (not _let_129))) (let ((_let_131 (_let_123))) (let ((_let_132 (not _let_125))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_125)) (CONG (REFL :args (_let_132)) (REFL :args (_let_10)) (MACRO_SR_PRED_INTRO :args ((= (not _let_124) _let_123))) :args _let_75)) :args ((or _let_10 _let_123 _let_132))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_131) :args (tptp.iV8469 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rR1 tptp.iV8467 Y) false))))) :args _let_131)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_29 _let_128 _let_130))) (ASSUME :args (_let_30)) (ASSUME :args (_let_34)) :args (_let_130 true _let_29 false _let_34)) :args (_let_124 true _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.iV8467 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC8 X)))) :args (_let_126))) _let_127 :args (_let_125 false _let_126)) :args (_let_10 true _let_123 false _let_125)))) (let ((_let_134 (forall ((Y $$unsorted)) (or (not (tptp.rR1 tptp.iV8467 Y)) (not (tptp.cTOP Y)))))) (let ((_let_135 (not _let_134))) (let ((_let_136 (= _let_11 _let_135))) (let ((_let_137 (forall ((X $$unsorted)) (= (tptp.cC14 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rR1 X Y)) (not (tptp.cTOP Y))))))))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (not _let_28))) (let ((_let_140 (not _let_31))) (let ((_let_141 (or _let_140 _let_139))) (let ((_let_142 (not _let_141))) (let ((_let_143 (_let_134))) (let ((_let_144 (not _let_136))) (let ((_let_145 (forall ((Y $$unsorted)) (or (not (tptp.rR1 tptp.iV8467 Y)) (tptp.cC2 Y))))) (let ((_let_146 (not _let_145))) (let ((_let_147 (= _let_13 _let_146))) (let ((_let_148 (forall ((X $$unsorted)) (= (tptp.cC4 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rR1 X Y)) (tptp.cC2 Y)))))))) (let ((_let_149 (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_150 (not _let_147))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_147)) (CONG (REFL :args (_let_150)) (REFL :args (_let_13)) (MACRO_SR_PRED_INTRO :args ((= (not _let_146) _let_145))) :args _let_75)) :args ((or _let_13 _let_145 _let_150))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_112 (= Y Y)))) _let_121 :args (_let_146 true _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.iV8467 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC4 X)))) :args (_let_148))) _let_149 :args (_let_147 false _let_148)) :args (_let_13 true _let_145 false _let_147)))) (let ((_let_152 (forall ((Y $$unsorted)) (or (not (tptp.rR1 tptp.iV8467 Y)) (tptp.cC2 Y))))) (let ((_let_153 (not _let_152))) (let ((_let_154 (= _let_14 _let_153))) (let ((_let_155 (forall ((X $$unsorted)) (= (tptp.cC48 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rR1 X Y)) (tptp.cC2 Y)))))))) (let ((_let_156 (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_157 (not _let_154))) (let ((_let_158 (and _let_13 _let_10))) (let ((_let_159 (= _let_15 _let_158))) (let ((_let_160 (_let_47))) (let ((_let_161 (ASSUME :args _let_160))) (let ((_let_162 (not _let_10))) (let ((_let_163 (not _let_13))) (let ((_let_164 (not _let_55))) (let ((_let_165 (not _let_53))) (let ((_let_166 (_let_50))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_166) :args (tptp.iV8471 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rR1 tptp.iV8467 Y) false))))) :args _let_166)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_51 _let_165))) _let_119 _let_90 :args (_let_165 false _let_35 false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_55)) (CONG (REFL :args (_let_164)) (REFL :args (_let_12)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_50))) :args _let_75)) :args ((or _let_12 _let_50 _let_164))) (MACRO_RESOLUTION_TRUST (REORDERING (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT)))) :args ((or (not _let_8) (not _let_5) (not _let_2) (not _let_16) (not _let_15) (not _let_14) _let_163 _let_60 (not _let_11) _let_162 (not _let_9) (not _let_7) (not _let_6) _let_51 _let_106 _let_81 (not _let_59) (not _let_58)))) (ASSUME :args (_let_8)) (ASSUME :args (_let_5)) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_48 (= X X)))) :args ((or _let_16 (not _let_48)))) (ASSUME :args (_let_48)) :args (_let_16 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_159)) :args ((or _let_15 (not _let_158) (not _let_159)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_158)) :args ((or _let_163 _let_162 _let_158))) _let_151 _let_133 :args (_let_158 false _let_13 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (tptp.iV8467 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC10 X)))) :args _let_160)) _let_161 :args (_let_159 false _let_47)) :args (_let_15 false _let_158 false _let_159)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_154)) (CONG (REFL :args (_let_157)) (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_153) _let_152))) :args _let_75)) :args ((or _let_14 _let_152 _let_157))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_112 (= Y Y)))) _let_121 :args (_let_153 true _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (tptp.iV8467 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC48 X)))) :args (_let_155))) _let_156 :args (_let_154 false _let_155)) :args (_let_14 true _let_152 false _let_154)) _let_151 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_136)) (CONG (REFL :args (_let_144)) (REFL :args (_let_11)) (MACRO_SR_PRED_INTRO :args ((= (not _let_135) _let_134))) :args _let_75)) :args ((or _let_11 _let_134 _let_144))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_143) :args (tptp.iV8470 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rR1 tptp.iV8467 Y) false))))) :args _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_140 _let_139 _let_142))) (ASSUME :args (_let_31)) (ASSUME :args (_let_28)) :args (_let_142 false _let_31 false _let_28)) :args (_let_135 true _let_141)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.iV8467 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC14 X)))) :args (_let_137))) _let_138 :args (_let_136 false _let_137)) :args (_let_11 true _let_134 false _let_136)) _let_133 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_114)) (CONG (REFL :args (_let_122)) (REFL :args (_let_9)) (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_112))) :args _let_75)) :args ((or _let_9 _let_112 _let_122))) _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (tptp.iV8467 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC20 X)))) :args (_let_115))) _let_116 :args (_let_114 false _let_115)) :args (_let_9 true _let_112 false _let_114)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_103)) (CONG (REFL :args (_let_111)) (REFL :args (_let_7)) (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_101))) :args _let_75)) :args ((or _let_7 _let_101 _let_111))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_110) :args (tptp.iV8472 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rR1 tptp.iV8467 Y) false))))) :args _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_107 _let_106 _let_109))) (ASSUME :args (_let_33)) _let_83 :args (_let_109 false _let_33 false _let_3)) :args (_let_102 true _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.iV8467 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC62 X)))) :args (_let_104))) _let_105 :args (_let_103 false _let_104)) :args (_let_7 true _let_101 false _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_93)) (CONG (REFL :args (_let_100)) (REFL :args (_let_6)) (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_91))) :args _let_75)) :args ((or _let_6 _let_91 _let_100))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_99) :args (tptp.iV8474 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rR1 tptp.iV8467 Y) false))))) :args _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_19 _let_96 _let_98))) (ASSUME :args (_let_20)) (ASSUME :args (_let_32)) :args (_let_98 true _let_19 false _let_32)) :args (_let_92 true _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.iV8467 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC34 X)))) :args (_let_94))) _let_95 :args (_let_93 false _let_94)) :args (_let_6 true _let_91 false _let_93)) _let_90 _let_83 _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_63 (= BOUND_VARIABLE_1245 BOUND_VARIABLE_1600)))) :args ((or _let_59 (not _let_63)))) (AND_ELIM _let_62 :args (0)) :args (_let_59 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_61 (= BOUND_VARIABLE_1250 BOUND_VARIABLE_1605)))) :args ((or _let_58 (not _let_61)))) (AND_ELIM _let_62 :args (1)) :args (_let_58 false _let_61)) :args (_let_60 false _let_8 false _let_5 false _let_2 false _let_16 false _let_15 false _let_14 false _let_13 false _let_11 false _let_10 false _let_9 false _let_7 false _let_6 false _let_4 false _let_3 false _let_1 false _let_59 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.iV8467 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC82 X)))) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_50 true _let_12 false _let_55)) :args (false true _let_53 false _let_50)) :args (_let_49 _let_48 _let_47 (forall ((X $$unsorted)) (= (tptp.cC12 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC10 Y))))) _let_46 (forall ((X $$unsorted)) (= (tptp.cC16 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (not (tptp.cC14 Y)))))) (forall ((X $$unsorted)) (= (tptp.cC18 X) (and (not (tptp.cC16 X)) (tptp.cC12 X)))) _let_45 (forall ((X $$unsorted)) (= (tptp.cC22 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (not (tptp.cC2 Y)))))) (forall ((X $$unsorted)) (= (tptp.cC24 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC22 Y))))) (forall ((X $$unsorted)) (= (tptp.cC26 X) (and (not (tptp.cC20 X)) (tptp.cC24 X)))) (forall ((X $$unsorted)) (= (tptp.cC28 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC26 Y))))) (forall ((X $$unsorted)) (= (tptp.cC30 X) (and (tptp.cC18 X) (not (tptp.cC28 X))))) (forall ((X $$unsorted)) (= (tptp.cC32 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC2 Y))))) _let_44 (forall ((X $$unsorted)) (= (tptp.cC36 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC2 Y))))) (forall ((X $$unsorted)) (= (tptp.cC38 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (not (tptp.cC36 Y)))))) _let_43 (forall ((X $$unsorted)) (= (tptp.cC40 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC38 Y))))) (forall ((X $$unsorted)) (= (tptp.cC42 X) (and (not (tptp.cC34 X)) (tptp.cC40 X)))) (forall ((X $$unsorted)) (= (tptp.cC44 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC42 Y))))) (forall ((X $$unsorted)) (= (tptp.cC46 X) (and (not (tptp.cC44 X)) (tptp.cC30 X)))) _let_42 (forall ((X $$unsorted)) (= (tptp.cC50 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC2 Y))))) (forall ((X $$unsorted)) (= (tptp.cC52 X) (and (not (tptp.cC50 X)) (not (tptp.cC48 X))))) (forall ((X $$unsorted)) (= (tptp.cC54 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC52 Y))))) (forall ((X $$unsorted)) (= (tptp.cC56 X) (and (not (tptp.cC54 X)) (tptp.cC46 X)))) _let_41 (forall ((X $$unsorted)) (= (tptp.cC6 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (not (tptp.cC2 Y)))))) _let_40 _let_39 (forall ((X $$unsorted)) (= (tptp.cC64 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC2 Y))))) (forall ((X $$unsorted)) (= (tptp.cC66 X) (and (not (tptp.cC2 X)) (tptp.cC64 X)))) (forall ((X $$unsorted)) (= (tptp.cC68 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC66 Y))))) (forall ((X $$unsorted)) (= (tptp.cC70 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC68 Y))))) (forall ((X $$unsorted)) (= (tptp.cC72 X) (and (not (tptp.cC62 X)) (tptp.cC70 X)))) (forall ((X $$unsorted)) (= (tptp.cC74 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC72 Y))))) (forall ((X $$unsorted)) (= (tptp.cC76 X) (and (not (tptp.cC74 X)) (tptp.cC56 X)))) (forall ((X $$unsorted)) (= (tptp.cC78 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (not (tptp.cC2 Y)))))) _let_38 _let_37 _let_36 (forall ((X $$unsorted)) (= (tptp.cC84 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (not (tptp.cC2 Y)))))) (forall ((X $$unsorted)) (= (tptp.cC86 X) (and (not (tptp.cC84 X)) (not (tptp.cC2 X))))) (forall ((X $$unsorted)) (= (tptp.cC88 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC86 Y))))) (forall ((X $$unsorted)) (= (tptp.cC90 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC88 Y))))) (forall ((X $$unsorted)) (= (tptp.cC92 X) (and (not (tptp.cC82 X)) (tptp.cC90 X)))) (forall ((X $$unsorted)) (= (tptp.cC94 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC92 Y))))) (forall ((X $$unsorted)) (= (tptp.cTEST X) (and (not (tptp.cC94 X)) (tptp.cC76 X)))) (not (tptp.cC92 tptp.iV8467)) (not (tptp.cC72 tptp.iV8467)) (not (tptp.cC42 tptp.iV8467)) _let_8 (not (tptp.cC52 tptp.iV8467)) (not (tptp.cC26 tptp.iV8467)) _let_35 (tptp.rR1 tptp.iV8467 tptp.iV8473) (tptp.rR1 tptp.iV8467 tptp.iV8468) _let_34 (tptp.rR1 tptp.iV8467 tptp.iV8475) _let_33 _let_32 _let_31 (not (tptp.cC2 tptp.iV8468)) (tptp.cowlThing tptp.iV8468) _let_30 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV8469 X) (tptp.cC2 X))) (tptp.cowlThing tptp.iV8469) _let_28 (tptp.cowlThing tptp.iV8470) _let_27 _let_25 _let_5 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV8471 X) (tptp.cC2 X))) _let_23 _let_2 _let_21 (not (tptp.cC2 tptp.iV8473)) (tptp.cowlThing tptp.iV8473) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV8474 X) (not (tptp.cC2 X)))) _let_20 (tptp.cowlThing tptp.iV8474) (not (tptp.cC2 tptp.iV8475)) (tptp.cowlThing tptp.iV8475) _let_18 (tptp.cowlThing tptp.iV8476) _let_17 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.36/2.58 )
% 2.36/2.58 % SZS output end Proof for KRS147+1
% 2.36/2.58 % cvc5---1.0.5 exiting
% 2.36/2.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------