TSTP Solution File: LCL155-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL155-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 07:00:53 EDT 2023
% Result : Unsatisfiable 2.13s 2.34s
% Output : Proof 2.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL155-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 03:27:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jWXOfEbuiH/cvc5---1.0.5_13646.p...
% 0.20/0.49 ------- get file name : TPTP file name is LCL155-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13646.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.13/2.34 % SZS status Unsatisfiable for LCL155-1
% 2.13/2.34 % SZS output start Proof for LCL155-1
% 2.13/2.35 (
% 2.13/2.35 (let ((_let_1 (tptp.xor tptp.x tptp.x))) (let ((_let_2 (not (= _let_1 tptp.falsehood)))) (let ((_let_3 (tptp.not tptp.truth))) (let ((_let_4 (= _let_3 tptp.falsehood))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.xor X Y) (tptp.or (tptp.and X (tptp.not Y)) (tptp.and (tptp.not X) Y)))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and X Y) (tptp.and Y X))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and X Y) (tptp.not (tptp.or (tptp.not X) (tptp.not Y))))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or X Y) (tptp.or Y X))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or X Y) (tptp.implies (tptp.not X) Y))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)) tptp.truth)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies X Y) Y) (tptp.implies (tptp.implies Y X) X))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))) tptp.truth)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.implies tptp.truth X) X)))) (let ((_let_14 (= tptp.falsehood _let_3))) (let ((_let_15 (= tptp.falsehood _let_1))) (let ((_let_16 (tptp.not tptp.x))) (let ((_let_17 (tptp.and _let_16 tptp.x))) (let ((_let_18 (tptp.and tptp.x _let_16))) (let ((_let_19 (tptp.or _let_18 _let_17))) (let ((_let_20 (= _let_1 _let_19))) (let ((_let_21 (= _let_19 (tptp.or _let_17 _let_18)))) (let ((_let_22 (tptp.not _let_16))) (let ((_let_23 (tptp.or _let_16 _let_22))) (let ((_let_24 (tptp.not _let_23))) (let ((_let_25 (= _let_18 _let_24))) (let ((_let_26 (= _let_18 _let_17))) (let ((_let_27 (= _let_23 (tptp.implies _let_22 _let_22)))) (let ((_let_28 (tptp.implies tptp.truth tptp.truth))) (let ((_let_29 (tptp.implies _let_3 _let_3))) (let ((_let_30 (= tptp.truth (tptp.implies _let_29 _let_28)))) (let ((_let_31 (= tptp.truth _let_28))) (let ((_let_32 (tptp.or tptp.truth _let_3))) (let ((_let_33 (= _let_29 _let_32))) (let ((_let_34 (tptp.not _let_3))) (let ((_let_35 (tptp.or _let_3 _let_34))) (let ((_let_36 (tptp.and tptp.truth _let_3))) (let ((_let_37 (= _let_36 (tptp.not _let_35)))) (let ((_let_38 (tptp.not _let_22))) (let ((_let_39 (tptp.implies _let_38 _let_38))) (let ((_let_40 (tptp.not _let_38))) (let ((_let_41 (tptp.implies _let_40 _let_40))) (let ((_let_42 (= tptp.truth (tptp.implies _let_41 _let_39)))) (let ((_let_43 (= _let_35 (tptp.implies _let_34 _let_34)))) (let ((_let_44 (tptp.or _let_38 _let_40))) (let ((_let_45 (= _let_44 _let_41))) (let ((_let_46 (tptp.implies (tptp.not _let_34) _let_3))) (let ((_let_47 (tptp.or _let_34 _let_3))) (let ((_let_48 (= _let_47 _let_46))) (let ((_let_49 (tptp.not _let_40))) (let ((_let_50 (tptp.implies _let_49 _let_38))) (let ((_let_51 (tptp.or _let_40 _let_38))) (let ((_let_52 (= _let_51 _let_50))) (let ((_let_53 (tptp.or _let_3 tptp.truth))) (let ((_let_54 (= _let_32 _let_53))) (let ((_let_55 (= _let_35 _let_47))) (let ((_let_56 (= _let_44 _let_51))) (let ((_let_57 (= _let_18 (tptp.implies tptp.truth _let_18)))) (let ((_let_58 (tptp.implies _let_38 _let_49))) (let ((_let_59 (= tptp.truth (tptp.implies _let_58 (tptp.implies _let_50 _let_39))))) (let ((_let_60 (tptp.implies tptp.truth _let_34))) (let ((_let_61 (= tptp.truth (tptp.implies _let_46 _let_60)))) (let ((_let_62 (= _let_53 (tptp.implies _let_34 tptp.truth)))) (let ((_let_63 (tptp.or _let_3 _let_22))) (let ((_let_64 (= _let_63 (tptp.implies _let_34 _let_22)))) (let ((_let_65 (tptp.implies _let_38 _let_3))) (let ((_let_66 (tptp.or _let_22 _let_3))) (let ((_let_67 (= _let_66 _let_65))) (let ((_let_68 (= _let_63 _let_66))) (let ((_let_69 (= _let_34 _let_60))) (let ((_let_70 (= (tptp.implies (tptp.implies _let_34 _let_28) _let_28) (tptp.implies (tptp.implies _let_28 _let_34) _let_34)))) (let ((_let_71 (tptp.implies tptp.truth _let_22))) (let ((_let_72 (= tptp.truth (tptp.implies _let_65 _let_71)))) (let ((_let_73 (= (tptp.implies (tptp.not _let_36) _let_24) (tptp.or _let_36 _let_24)))) (let ((_let_74 (= (tptp.or _let_18 _let_3) (tptp.or _let_3 _let_18)))) (let ((_let_75 (= _let_22 _let_71))) (let ((_let_76 (SYMM (ASSUME :args (_let_4))))) (let ((_let_77 (_let_5))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (_let_8))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 ((tptp.or X Y)))) (let ((_let_82 (_let_7))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 ((tptp.and X Y)))) (let ((_let_85 (_let_6))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (_let_9))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 ((tptp.or X Y)))) (let ((_let_90 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 (tptp.not Y))) (let ((_let_94 (tptp.not X))) (let ((_let_95 (_let_94 _let_93))) (let ((_let_96 (forall ((X $$unsorted)) (= X (tptp.implies tptp.truth X))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_96))) (let ((_let_99 ((tptp.implies tptp.truth X)))) (let ((_let_100 ((tptp.implies (tptp.not X) Y)))) (let ((_let_101 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 ((tptp.implies _let_94 _let_93)))) (let ((_let_104 (_let_11))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (and _let_14 _let_20 _let_21 _let_25 _let_26 _let_27 _let_30 _let_31 _let_33 _let_37 _let_42 _let_43 _let_45 _let_48 _let_52 _let_54 _let_55 _let_56 _let_57 _let_59 _let_61 _let_62 _let_64 _let_67 _let_68 _let_69 _let_70 _let_72 _let_73 _let_74 _let_75))) (let ((_let_107 (ASSUME :args (_let_20)))) (let ((_let_108 (ASSUME :args (_let_21)))) (let ((_let_109 (APPLY_UF tptp.or))) (let ((_let_110 (ASSUME :args (_let_26)))) (let ((_let_111 (ASSUME :args (_let_25)))) (let ((_let_112 (SYMM _let_111))) (let ((_let_113 (APPLY_UF tptp.not))) (let ((_let_114 (ASSUME :args (_let_27)))) (let ((_let_115 (APPLY_UF tptp.implies))) (let ((_let_116 (ASSUME :args (_let_75)))) (let ((_let_117 (ASSUME :args (_let_61)))) (let ((_let_118 (ASSUME :args (_let_48)))) (let ((_let_119 (ASSUME :args (_let_55)))) (let ((_let_120 (ASSUME :args (_let_43)))) (let ((_let_121 (SYMM _let_120))) (let ((_let_122 (CONG (TRANS _let_121 (TRANS (SYMM (SYMM _let_119)) (SYMM (SYMM _let_118)))) (REFL :args (_let_60)) :args _let_115))) (let ((_let_123 (ASSUME :args (_let_69)))) (let ((_let_124 (SYMM _let_123))) (let ((_let_125 (SYMM _let_124))) (let ((_let_126 (REFL :args (_let_34)))) (let ((_let_127 (ASSUME :args (_let_31)))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (CONG _let_128 _let_126 :args _let_115))) (let ((_let_130 (ASSUME :args (_let_70)))) (let ((_let_131 (ASSUME :args (_let_59)))) (let ((_let_132 (ASSUME :args (_let_52)))) (let ((_let_133 (ASSUME :args (_let_56)))) (let ((_let_134 (ASSUME :args (_let_45)))) (let ((_let_135 (ASSUME :args (_let_42)))) (let ((_let_136 (TRANS (CONG (REFL :args (_let_58)) (TRANS (SYMM (SYMM _let_135)) (CONG (TRANS (SYMM _let_134) (TRANS (SYMM (SYMM _let_133)) (SYMM (SYMM _let_132)))) (REFL :args (_let_39)) :args _let_115)) :args _let_115) (SYMM _let_131) _let_127))) (let ((_let_137 (ASSUME :args (_let_33)))) (let ((_let_138 (ASSUME :args (_let_54)))) (let ((_let_139 (ASSUME :args (_let_62)))) (let ((_let_140 (ASSUME :args (_let_30)))) (let ((_let_141 (TRANS (SYMM (SYMM _let_140)) (CONG (SYMM (TRANS (SYMM _let_139) (SYMM _let_138) (SYMM _let_137))) (SYMM _let_136) :args _let_115) (CONG (CONG _let_126 _let_127 :args _let_115) _let_136 :args _let_115) (SYMM (SYMM _let_130)) (CONG (TRANS _let_129 _let_124) _let_126 :args _let_115) _let_121))) (let ((_let_142 (CONG (TRANS _let_128 _let_141 _let_120) _let_125 :args _let_115))) (let ((_let_143 (CONG (TRANS _let_125 (SYMM _let_129) (TRANS _let_142 _let_122 (SYMM _let_117))) (REFL :args (_let_22)) :args _let_115))) (let ((_let_144 (ASSUME :args (_let_64)))) (let ((_let_145 (SYMM _let_144))) (let ((_let_146 (TRANS (SYMM _let_145) _let_143 (SYMM _let_116)))) (let ((_let_147 (ASSUME :args (_let_68)))) (let ((_let_148 (ASSUME :args (_let_67)))) (let ((_let_149 (ASSUME :args (_let_72)))) (let ((_let_150 (CONG (TRANS (SYMM (SYMM _let_149)) (CONG (TRANS (SYMM _let_148) (SYMM _let_147)) (TRANS (SYMM _let_143) _let_145) :args _let_115) (CONG _let_146 _let_146 :args _let_115) (SYMM _let_114)) :args _let_113))) (let ((_let_151 (ASSUME :args (_let_74)))) (let ((_let_152 (ASSUME :args (_let_37)))) (let ((_let_153 (SYMM _let_152))) (let ((_let_154 (TRANS (SYMM _let_153) (CONG (SYMM _let_141) :args _let_113)))) (let ((_let_155 (ASSUME :args (_let_73)))) (let ((_let_156 (CONG _let_153 :args _let_113))) (let ((_let_157 (ASSUME :args (_let_57)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_106)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_152 _let_119 _let_138 _let_151 _let_134 _let_157 _let_137 _let_110 _let_76 _let_114 _let_118 _let_111 _let_123 _let_133 _let_147 _let_127 _let_108 _let_120 _let_149 _let_107 _let_117 _let_132 _let_148 _let_130 _let_155 _let_144 _let_116 _let_139 _let_140 _let_131 _let_135) (SCOPE (TRANS (SYMM (SYMM _let_76)) _let_150 _let_112 (SYMM (SYMM _let_157)) (CONG (TRANS (TRANS _let_117 (SYMM _let_122) (SYMM _let_142) _let_129 _let_124 (CONG (SYMM _let_154) :args _let_113) (SYMM _let_156)) _let_156) _let_111 :args _let_115) (SYMM (SYMM _let_155)) (CONG _let_154 _let_112 :args _let_109) (SYMM _let_151) (CONG _let_111 (REFL :args (_let_3)) :args _let_109) (CONG _let_112 (TRANS _let_150 _let_112) :args _let_109) (CONG (SYMM (SYMM _let_110)) (REFL :args (_let_18)) :args _let_109) (SYMM _let_108) (SYMM _let_107)) :args (_let_37 _let_55 _let_54 _let_74 _let_45 _let_57 _let_33 _let_26 _let_14 _let_27 _let_48 _let_25 _let_69 _let_56 _let_68 _let_31 _let_21 _let_43 _let_72 _let_20 _let_61 _let_52 _let_67 _let_70 _let_73 _let_64 _let_75 _let_62 _let_30 _let_59 _let_42))) :args (_let_14 _let_20 _let_21 _let_25 _let_26 _let_27 _let_30 _let_31 _let_33 _let_37 _let_42 _let_43 _let_45 _let_48 _let_52 _let_54 _let_55 _let_56 _let_57 _let_59 _let_61 _let_62 _let_64 _let_67 _let_68 _let_69 _let_70 _let_72 _let_73 _let_74 _let_75))) :args (true _let_106)) :args ((or _let_15 (not _let_14) (not _let_20) (not _let_21) (not _let_25) (not _let_26) (not _let_27) (not _let_30) (not _let_31) (not _let_33) (not _let_37) (not _let_42) (not _let_43) (not _let_45) (not _let_48) (not _let_52) (not _let_54) (not _let_55) (not _let_56) (not _let_57) (not _let_59) (not _let_61) (not _let_62) (not _let_64) (not _let_67) (not _let_68) (not _let_69) (not _let_70) (not _let_72) (not _let_73) (not _let_74) (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_75 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_18 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_79)) _let_80 :args (_let_74 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_36 _let_24 QUANTIFIERS_INST_E_MATCHING _let_100)) :args _let_87))) _let_88 :args (_let_73 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_22 tptp.truth QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_92)) _let_91 :args (_let_72 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_34 _let_28 QUANTIFIERS_INST_E_MATCHING ((tptp.implies (tptp.implies X Y) Y)))) :args _let_104)) _let_105 :args (_let_70 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_69 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_3 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_79)) _let_80 :args (_let_68 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_22 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args (_let_67 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_3 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args (_let_64 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_3 tptp.truth QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args (_let_62 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_34 tptp.truth QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_92)) _let_91 :args (_let_61 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_38 _let_49 _let_38 QUANTIFIERS_INST_E_MATCHING ((tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))) :args (_let_101))) _let_102 :args (_let_59 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_57 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_38 _let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_79)) _let_80 :args (_let_56 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_3 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_79)) _let_80 :args (_let_55 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.truth _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_79)) _let_80 :args (_let_54 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_40 _let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args (_let_52 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_34 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args (_let_48 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_38 _let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args (_let_45 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_3 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args (_let_43 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_38 _let_38 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_92)) _let_91 :args (_let_42 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.truth _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_37 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.truth _let_3 QUANTIFIERS_INST_E_MATCHING _let_100)) :args _let_87))) _let_88 :args (_let_33 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.truth QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_31 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.truth tptp.truth QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_92)) _let_91 :args (_let_30 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_16 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args (_let_27 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.x _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.and X Y)))) :args _let_85)) _let_86 :args (_let_26 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.x _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_25 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_18 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_79)) _let_80 :args (_let_21 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.x tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.xor X Y)))) :args _let_77)) _let_78 :args (_let_20 false _let_5)) (SYMM (ASSUME :args (_let_2))) _let_76 :args (false false _let_75 false _let_74 false _let_73 false _let_72 false _let_70 false _let_69 false _let_68 false _let_67 false _let_64 false _let_62 false _let_61 false _let_59 false _let_57 false _let_56 false _let_55 false _let_54 false _let_52 false _let_48 false _let_45 false _let_43 false _let_42 false _let_37 false _let_33 false _let_31 false _let_30 false _let_27 false _let_26 false _let_25 false _let_21 false _let_20 true _let_15 false _let_14)) :args (_let_13 _let_12 _let_11 _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.or (tptp.or X Y) Z) (tptp.or X (tptp.or Y Z)))) _let_8 _let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and (tptp.and X Y) Z) (tptp.and X (tptp.and Y Z)))) _let_6 _let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.xor X Y) (tptp.xor Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and_star X Y) (tptp.not (tptp.or (tptp.not X) (tptp.not Y))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and_star (tptp.and_star X Y) Z) (tptp.and_star X (tptp.and_star Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and_star X Y) (tptp.and_star Y X))) _let_4 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.13/2.35 )
% 2.13/2.36 % SZS output end Proof for LCL155-1
% 2.13/2.36 % cvc5---1.0.5 exiting
% 2.13/2.36 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------