TSTP Solution File: KRS132+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS132+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 05:41:33 EDT 2023
% Result : Theorem 0.20s 0.58s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS132+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 01:52:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.58 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.HJyjnE1MxK/cvc5---1.0.5_3810.p...
% 0.20/0.58 ------- get file name : TPTP file name is KRS132+1
% 0.20/0.58 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3810.smt2...
% 0.20/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.58 % SZS status Theorem for KRS132+1
% 0.20/0.58 % SZS output start Proof for KRS132+1
% 0.20/0.58 (
% 0.20/0.58 (let ((_let_1 (forall ((X $$unsorted)) (= (tptp.cAorB X) (or (tptp.cB X) (tptp.cA X)))))) (let ((_let_2 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_3 (not (and (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) _let_2 _let_1)))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.cnotB X) (forall ((Y $$unsorted)) (=> (tptp.rr X Y) (tptp.cNothing Y))))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.cnotAorB X) (and (tptp.cnotB X) (tptp.cnotA X)))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.cnotAorB X) (forall ((Y $$unsorted)) (=> (tptp.rs X Y) (tptp.cNothing Y))))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.cnotA X) (forall ((Y $$unsorted)) (=> (tptp.rq X Y) (tptp.cNothing Y))))))) (let ((_let_8 (forall ((X $$unsorted)) (=> (tptp.cNothing X) (not (exists ((Y $$unsorted)) (tptp.rp X Y))))))) (let ((_let_9 (forall ((X $$unsorted)) (=> (tptp.cNothing X) (exists ((Y0 $$unsorted)) (tptp.rp X Y0)))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.cB X) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cowlThing Y))))))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.cAorB X) (exists ((Y $$unsorted)) (and (tptp.rs X Y) (tptp.cowlThing Y))))))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.cA X) (exists ((Y $$unsorted)) (and (tptp.rq X Y) (tptp.cowlThing Y))))))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_14 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_15 (forall ((Y0 $$unsorted)) (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y0))))) (let ((_let_16 (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_17 (not _let_15))) (let ((_let_18 (tptp.cNothing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17))) (let ((_let_21 (forall ((X $$unsorted)) (or (not (tptp.cNothing X)) (not (forall ((Y0 $$unsorted)) (not (tptp.rp X Y0)))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_21))) (let ((_let_24 ((not (= (tptp.cNothing X) false))))) (let ((_let_25 (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_18))) (let ((_let_28 (forall ((Y $$unsorted)) (or (not (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.cNothing Y))))) (let ((_let_29 (tptp.cnotB SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (forall ((X $$unsorted)) (= (tptp.cnotB X) (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (tptp.cNothing Y))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args _let_33) :args (_let_31))) _let_32 :args (_let_30 false _let_31)))) (let ((_let_35 (tptp.cnotA SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (and _let_29 _let_35))) (let ((_let_37 (tptp.cnotAorB SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (= _let_37 _let_36))) (let ((_let_39 (_let_5))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args _let_33) :args _let_39)) _let_40 :args (_let_38 false _let_5)))) (let ((_let_42 (forall ((Y $$unsorted)) (or (not (tptp.rs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.cNothing Y))))) (let ((_let_43 (= _let_37 _let_42))) (let ((_let_44 (forall ((X $$unsorted)) (= (tptp.cnotAorB X) (forall ((Y $$unsorted)) (or (not (tptp.rs X Y)) (tptp.cNothing Y))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args _let_33) :args (_let_44))) _let_45 :args (_let_43 false _let_44)))) (let ((_let_47 (tptp.rs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 (tptp.cNothing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25)))) (let ((_let_50 (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_48 _let_51))) (let ((_let_53 (forall ((Y $$unsorted)) (or (not (tptp.rs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.cowlThing Y)))))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.cAorB SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (= _let_55 _let_54))) (let ((_let_57 (tptp.cA SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (tptp.cB SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (or _let_58 _let_57))) (let ((_let_60 (= _let_55 _let_59))) (let ((_let_61 (forall ((Y $$unsorted)) (or (not (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.cowlThing Y)))))) (let ((_let_62 (not _let_61))) (let ((_let_63 (= _let_58 _let_62))) (let ((_let_64 (forall ((Y $$unsorted)) (or (not (tptp.rq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.cowlThing Y)))))) (let ((_let_65 (not _let_64))) (let ((_let_66 (= _let_57 _let_65))) (let ((_let_67 (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68))) (let ((_let_72 (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.rq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_73))) (let ((_let_77 (or _let_70 (tptp.cNothing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)))) (let ((_let_78 (or _let_75 (tptp.cNothing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26)))) (let ((_let_79 (forall ((Y $$unsorted)) (or (not (tptp.rq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.cNothing Y))))) (let ((_let_80 (= _let_35 _let_79))) (let ((_let_81 (not _let_43))) (let ((_let_82 (not _let_37))) (let ((_let_83 (_let_43))) (let ((_let_84 (or))) (let ((_let_85 (not _let_42))) (let ((_let_86 (_let_85))) (let ((_let_87 (not _let_38))) (let ((_let_88 (not _let_36))) (let ((_let_89 (_let_38))) (let ((_let_90 (forall ((BOUND_VARIABLE_721 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_721)))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (AND_ELIM _let_91 :args (0)))) (let ((_let_93 (_let_90))) (let ((_let_94 ((not (= (tptp.cowlThing BOUND_VARIABLE_721) true))))) (let ((_let_95 (ASSUME :args _let_93))) (let ((_let_96 (_let_53))) (let ((_let_97 (forall ((X $$unsorted)) (= (tptp.cAorB X) (not (forall ((Y $$unsorted)) (or (not (tptp.rs X Y)) (not (tptp.cowlThing Y))))))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cAorB X)))) :args (_let_97))) _let_98 :args (_let_56 false _let_97)))) (let ((_let_100 (not _let_56))) (let ((_let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))))) (let ((_let_102 (_let_56))) (let ((_let_103 (not _let_60))) (let ((_let_104 (forall ((BOUND_VARIABLE_816 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_816))))) (let ((_let_105 (forall ((BOUND_VARIABLE_811 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_811)))) (let ((_let_106 (not _let_1))) (let ((_let_107 (forall ((BOUND_VARIABLE_726 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_726))))) (let ((_let_108 (_let_106))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_108)) :args _let_108)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_1))) (REFL :args (_let_103)) :args _let_84)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_13 (= X X)))) :args ((or _let_2 (not _let_13)))) (ASSUME :args (_let_13)) :args (_let_2 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_90 (= BOUND_VARIABLE_721 BOUND_VARIABLE_811)))) :args ((or _let_105 (not _let_90)))) _let_92 :args (_let_105 false _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_107 (= BOUND_VARIABLE_726 BOUND_VARIABLE_816)))) :args ((or _let_104 (not _let_107)))) (AND_ELIM _let_91 :args (1)) :args (_let_104 false _let_107)) :args (_let_106 false _let_2 false _let_105 false _let_104)) :args (_let_103 true _let_1)))) (let ((_let_110 (_let_60))) (let ((_let_111 (forall ((X $$unsorted)) (= (tptp.cB X) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cowlThing Y))))))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cB X)))) :args (_let_111))) _let_112 :args (_let_63 false _let_111)))) (let ((_let_114 (not _let_63))) (let ((_let_115 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))))) (let ((_let_116 (_let_63))) (let ((_let_117 (forall ((X $$unsorted)) (= (tptp.cA X) (not (forall ((Y $$unsorted)) (or (not (tptp.rq X Y)) (not (tptp.cowlThing Y))))))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cA X)))) :args (_let_117))) _let_118 :args (_let_66 false _let_117)))) (let ((_let_120 (not _let_66))) (let ((_let_121 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))))) (let ((_let_122 (_let_66))) (let ((_let_123 (_let_61))) (let ((_let_124 (_let_64))) (let ((_let_125 (not _let_28))) (let ((_let_126 (_let_125))) (let ((_let_127 (not _let_79))) (let ((_let_128 (_let_127))) (let ((_let_129 (not _let_30))) (let ((_let_130 (_let_30))) (let ((_let_131 (forall ((X $$unsorted)) (= (tptp.cnotA X) (forall ((Y $$unsorted)) (or (not (tptp.rq X Y)) (tptp.cNothing Y))))))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args _let_33) :args (_let_131))) _let_132 :args (_let_80 false _let_131)))) (let ((_let_134 (not _let_80))) (let ((_let_135 (_let_80))) (let ((_let_136 (not _let_29))) (let ((_let_137 (not _let_35))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_36)) :args ((or _let_36 _let_137 _let_136))) (REORDERING (CNF_EQUIV_POS2 :args _let_135) :args ((or _let_35 _let_127 _let_134))) _let_133 (REORDERING (CNF_EQUIV_POS2 :args _let_130) :args ((or _let_29 _let_125 _let_129))) _let_34 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_128)) :args _let_128)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_79))) (REFL :args ((not _let_78))) :args _let_84)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_126)) :args _let_126)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_28))) (REFL :args ((not _let_77))) :args _let_84)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 0)) (CONG (REFL :args (_let_78)) (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_84)) :args ((or _let_74 _let_78))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_77 0)) (CONG (REFL :args (_let_77)) (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_84)) :args ((or _let_69 _let_77))) (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_73 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_93)) _let_92 :args (_let_72 false _let_90)) (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_68 (not _let_71)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_93)) _let_92 :args (_let_67 false _let_90)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_124) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_124)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_123) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_123)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_122) (CONG (REFL :args (_let_120)) (REFL :args (_let_57)) _let_121 :args _let_84)) :args ((or _let_57 _let_64 _let_120))) _let_119 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_116) (CONG (REFL :args (_let_114)) (REFL :args (_let_58)) _let_115 :args _let_84)) :args ((or _let_58 _let_61 _let_114))) _let_113 (CNF_OR_NEG :args (_let_59 1)) (CNF_OR_NEG :args (_let_59 0)) (CNF_EQUIV_NEG2 :args _let_110) _let_109 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_102) (CONG (REFL :args (_let_100)) (REFL :args (_let_55)) _let_101 :args _let_84)) :args ((or _let_55 _let_53 _let_100))) _let_99 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_96) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_96)) (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_48 _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_93)) _let_92 :args (_let_50 false _let_90)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 0)) (CONG (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_84)) :args ((or _let_47 _let_49))) (REORDERING (CNF_EQUIV_POS2 :args _let_89) :args ((or _let_37 _let_88 _let_87))) _let_41 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_86)) :args _let_86)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_42))) (REFL :args ((not _let_49))) :args _let_84)) (REORDERING (CNF_EQUIV_POS1 :args _let_83) :args ((or _let_42 _let_82 _let_81))) _let_46 :args (_let_42 false _let_35 false _let_80 false _let_29 false _let_30 false _let_79 false _let_28 false _let_78 false _let_77 true _let_74 false _let_72 true _let_69 false _let_67 false _let_76 false _let_71 false _let_64 false _let_66 false _let_61 false _let_63 true _let_57 true _let_58 true _let_59 true _let_60 false _let_55 false _let_56 true _let_53 true _let_52 false _let_50 false _let_47 true _let_36 false _let_38 true _let_49 true _let_37 false _let_43)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_89) :args ((or _let_36 _let_82 _let_87))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_83) :args ((or _let_37 _let_85 _let_81))) _let_138 _let_46 :args (_let_37 false _let_42 false _let_43)) _let_41 :args (_let_36 false _let_37 false _let_38)))) (let ((_let_140 (_let_28))) (let ((_let_141 (or _let_26 (not (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_142 (not _let_141))) (let ((_let_143 (not _let_55))) (let ((_let_144 (tptp.rs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_145 (not 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(REORDERING (CNF_EQUIV_NEG1 :args _let_110) :args ((or _let_55 _let_59 _let_60))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_102) :args ((or _let_143 _let_54 _let_100))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_162)) :args _let_162)) (CONG _let_101 (REFL :args ((not _let_146))) :args _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_146 0)) (CONG (REFL :args (_let_146)) (MACRO_SR_PRED_INTRO :args ((= (not _let_145) _let_144))) :args _let_84)) :args ((or _let_144 _let_146))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_145 _let_147 (not _let_148)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_161)) :args _let_161) (REWRITE :args ((=> _let_151 (not _let_155)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_151) _let_150))) (REFL :args (_let_154)) :args _let_84)) (REORDERING (CNF_OR_POS :args 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(let ((_let_182 (or _let_19 _let_181))) (let ((_let_183 (_let_17))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_183)) :args _let_183) (REWRITE :args ((=> _let_17 (not _let_181)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_15))) (REFL :args (_let_16)) :args _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_182)) :args ((or _let_19 _let_181 (not _let_182)))) _let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_160)) :args _let_159)) _let_158 :args (_let_182 false _let_157)) :args (_let_181 false _let_18 false _let_182)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_17 (not _let_20)))) _let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_20 false _let_21)) :args (_let_17 false _let_18 false _let_20)) :args (false true _let_16 true _let_15)) :args (_let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.58 )
% 0.20/0.58 % SZS output end Proof for KRS132+1
% 0.20/0.58 % cvc5---1.0.5 exiting
% 0.20/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------