TSTP Solution File: KRS081+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS081+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 05:41:21 EDT 2023
% Result : Unsatisfiable 0.18s 0.53s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS081+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 01:37:14 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.46 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.47 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8EroJaFu8F/cvc5---1.0.5_20654.p...
% 0.18/0.47 ------- get file name : TPTP file name is KRS081+1
% 0.18/0.48 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20654.smt2...
% 0.18/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.53 % SZS status Unsatisfiable for KRS081+1
% 0.18/0.53 % SZS output start Proof for KRS081+1
% 0.18/0.54 (
% 0.18/0.54 (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_24236))) (let ((_let_2 (forall ((X $$unsorted)) (=> (tptp.cp4 X) (not (tptp.cp5 X)))))) (let ((_let_3 (forall ((X $$unsorted)) (=> (tptp.cp3 X) (not (or (tptp.cp4 X) (tptp.cp5 X))))))) (let ((_let_4 (forall ((X $$unsorted)) (=> (tptp.cp2 X) (not (or (tptp.cp4 X) (tptp.cp5 X) (tptp.cp3 X))))))) (let ((_let_5 (forall ((X $$unsorted)) (=> (tptp.cp1 X) (not (or (tptp.cp2 X) (tptp.cp4 X) (tptp.cp5 X) (tptp.cp3 X))))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp3 Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp4 Y) (tptp.cp Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp4 Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp2 Y) (tptp.cp Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp5 Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp Y) (tptp.cp3 Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp1 Y))) (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted) (Y4 $$unsorted)) (=> (and (tptp.rr X Y0) (tptp.rr X Y1) (tptp.rr X Y2) (tptp.rr X Y3) (tptp.rr X Y4)) (or (= Y0 Y1) (= Y0 Y2) (= Y0 Y3) (= Y0 Y4) (= Y1 Y2) (= Y1 Y3) (= Y1 Y4) (= Y2 Y3) (= Y2 Y4) (= Y3 Y4)))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp1 Y) (tptp.cp Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp2 Y)))))))) (let ((_let_7 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_8 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_10 (not _let_7))) (let ((_let_11 (tptp.rr tptp.i2003_11_14_17_19_24236 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10))) (let ((_let_14 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y)) (not (tptp.cp1 Y)))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted) (Y4 $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y0)) (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y1)) (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y2)) (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y3)) (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y4)) (= Y0 Y1) (= Y0 Y2) (= Y0 Y3) (= Y0 Y4) (= Y1 Y2) (= Y1 Y3) (= Y1 Y4) (= Y2 Y3) (= Y2 Y4) (= Y3 Y4))))) (let ((_let_17 (not _let_14))) (let ((_let_18 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y)) (not (tptp.cp5 Y)))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y)) (not (tptp.cp2 Y)) (not (tptp.cp Y)))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y)) (not (tptp.cp4 Y)) (not (tptp.cp Y)))))) (let ((_let_23 (not _let_22))) (let ((_let_24 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y)) (not (tptp.cp3 Y)))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (and _let_25 _let_23 (not (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y)) (not (tptp.cp4 Y))))) _let_21 _let_19 (not (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y)) (not (tptp.cp Y)) (not (tptp.cp3 Y))))) _let_17 _let_16 (not (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y)) (not (tptp.cp1 Y)) (not (tptp.cp Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_24236 Y)) (not (tptp.cp2 Y)))))))) (let ((_let_27 (= _let_1 _let_26))) (let ((_let_28 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp3 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp4 Y)) (not (tptp.cp Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp4 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp2 Y)) (not (tptp.cp Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp5 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp Y)) (not (tptp.cp3 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp1 Y))))) (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted) (Y4 $$unsorted)) (or (not (tptp.rr X Y0)) (not (tptp.rr X Y1)) (not (tptp.rr X Y2)) (not (tptp.rr X Y3)) (not (tptp.rr X Y4)) (= Y0 Y1) (= Y0 Y2) (= Y0 Y3) (= Y0 Y4) (= Y1 Y2) (= Y1 Y3) (= Y1 Y4) (= Y2 Y3) (= Y2 Y4) (= Y3 Y4))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp1 Y)) (not (tptp.cp Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp2 Y)))))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_27)) :args ((or (not _let_1) _let_26 (not _let_27)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.i2003_11_14_17_19_24236 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_26 false _let_1 false _let_27)))) (let ((_let_31 (not _let_26))) (let ((_let_32 (or))) (let ((_let_33 (_let_17))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_33)) :args _let_33)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_14))) (REFL :args (_let_15)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 6)) :args ((or _let_17 _let_31))) _let_30 :args (_let_17 false _let_26)) :args (_let_15 true _let_14)))) (let ((_let_35 (REFL :args (_let_13)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 1)) (CONG _let_35 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_7))) :args _let_32)) :args ((or _let_7 _let_13))) _let_34 :args (_let_7 true _let_13)))) (let ((_let_37 (tptp.cp3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not (tptp.cp5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_40 (tptp.cp4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.cp2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_43 (not _let_42))) (let ((_let_44 (and _let_43 _let_41 _let_39 _let_38))) (let ((_let_45 (not _let_8))) (let ((_let_46 (or _let_45 _let_44))) (let ((_let_47 (forall ((X $$unsorted)) (or (not (tptp.cp1 X)) (and (not (tptp.cp2 X)) (not (tptp.cp4 X)) (not (tptp.cp5 X)) (not (tptp.cp3 X))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 (not _let_44))) (let ((_let_51 (tptp.rr tptp.i2003_11_14_17_19_24236 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_43 (not (tptp.cp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_54 (not _let_53))) (let ((_let_55 (_let_21))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) (REFL :args (_let_54)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 3)) :args ((or _let_21 _let_31))) _let_30 :args (_let_21 false _let_26)) :args (_let_54 true _let_20)))) (let ((_let_57 (REFL :args (_let_53)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 1)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_32)) :args ((or _let_42 _let_53))) _let_56 :args (_let_42 true _let_53)))) (let ((_let_59 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_60 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_61 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_62 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_63 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_64 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_65 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_66 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_67 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_68 (tptp.rr tptp.i2003_11_14_17_19_24236 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.rr tptp.i2003_11_14_17_19_24236 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.rr tptp.i2003_11_14_17_19_24236 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71 _let_69 _let_52 _let_12 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_9))) (let ((_let_75 (_let_16))) (let ((_let_76 (tptp.cp5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_77 (tptp.cp5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_78 (not _let_59))) (let ((_let_79 (not _let_76))) (let ((_let_80 (and (not (tptp.cp2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (not (tptp.cp4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) _let_79 (not (tptp.cp3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_81 (or _let_10 _let_80))) (let ((_let_82 (not _let_77))) (let ((_let_83 (or _let_69 _let_82))) (let ((_let_84 (not _let_83))) (let ((_let_85 (_let_19))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_85)) :args _let_85)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) (REFL :args (_let_84)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 4)) :args ((or _let_19 _let_31))) _let_30 :args (_let_19 false _let_26)) :args (_let_84 true _let_18)))) (let ((_let_87 (REFL :args (_let_83)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 1)) (CONG _let_87 (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_77))) :args _let_32)) :args ((or _let_77 _let_83))) _let_86 :args (_let_77 true _let_83)))) (let ((_let_89 (ASSUME :args (_let_77)))) (let ((_let_90 (ASSUME :args (_let_59)))) (let ((_let_91 (ASSUME :args (_let_79)))) (let ((_let_92 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_93 (not _let_64))) (let ((_let_94 (tptp.cp3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_95 (not _let_94))) (let ((_let_96 (not (tptp.cp5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_97 (tptp.cp4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_98 (not _let_97))) (let ((_let_99 (and (not (tptp.cp2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_98 _let_96 _let_95))) (let ((_let_100 (not _let_92))) (let ((_let_101 (or _let_100 _let_99))) (let ((_let_102 (not _let_99))) (let ((_let_103 (or _let_73 _let_98 (not (tptp.cp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_104 (not _let_103))) (let ((_let_105 (_let_23))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_105)) :args _let_105)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) (REFL :args (_let_104)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 1)) :args ((or _let_23 _let_31))) _let_30 :args (_let_23 false _let_26)) :args (_let_104 true _let_22)))) (let ((_let_107 (REFL :args (_let_103)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_103 1)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_97))) :args _let_32)) :args ((or _let_97 _let_103))) _let_106 :args (_let_97 true _let_103)))) (let ((_let_109 (REFL :args (_let_10)))) (let ((_let_110 (ASSUME :args (_let_7)))) (let ((_let_111 (TRUE_INTRO _let_110))) (let ((_let_112 (APPLY_UF tptp.cp1))) (let ((_let_113 (ASSUME :args (_let_64)))) (let ((_let_114 (ASSUME :args (_let_100)))) (let ((_let_115 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_116 (not _let_61))) (let ((_let_117 (tptp.cp3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_118 (not _let_117))) (let ((_let_119 (and (not (tptp.cp2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.cp4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.cp5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_118))) (let ((_let_120 (not _let_115))) (let ((_let_121 (or _let_120 _let_119))) (let ((_let_122 (not _let_119))) (let ((_let_123 (or _let_71 _let_118))) (let ((_let_124 (not _let_123))) (let ((_let_125 (_let_25))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_125)) :args _let_125)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) (REFL :args (_let_124)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 0)) :args ((or _let_25 _let_31))) _let_30 :args (_let_25 false _let_26)) :args (_let_124 true _let_24)))) (let ((_let_127 (REFL :args (_let_123)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_123 1)) (CONG _let_127 (MACRO_SR_PRED_INTRO :args ((= (not _let_118) _let_117))) :args _let_32)) :args ((or _let_117 _let_123))) _let_126 :args (_let_117 true _let_123)))) (let ((_let_129 (ASSUME :args (_let_61)))) (let ((_let_130 (ASSUME :args (_let_120)))) (let ((_let_131 (tptp.cp2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_132 (not _let_60))) (let ((_let_133 (tptp.cp3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_134 (not _let_133))) (let ((_let_135 (tptp.cp4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_136 (not _let_135))) (let ((_let_137 (and _let_136 _let_82 _let_134))) (let ((_let_138 (not _let_131))) (let ((_let_139 (or _let_138 _let_137))) (let ((_let_140 (forall ((X $$unsorted)) (or (not (tptp.cp2 X)) (and (not (tptp.cp4 X)) (not (tptp.cp5 X)) (not (tptp.cp3 X))))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (_let_140))) (let ((_let_143 (not _let_137))) (let ((_let_144 (ASSUME :args (_let_42)))) (let ((_let_145 (ASSUME :args (_let_60)))) (let ((_let_146 (ASSUME :args (_let_138)))) (let ((_let_147 (not _let_66))) (let ((_let_148 (or _let_136 _let_82))) (let ((_let_149 (forall ((X $$unsorted)) (or (not (tptp.cp4 X)) (not (tptp.cp5 X)))))) (let ((_let_150 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_151 (REFL :args (_let_98)))) (let ((_let_152 (ASSUME :args (_let_97)))) (let ((_let_153 (TRUE_INTRO _let_152))) (let ((_let_154 (APPLY_UF tptp.cp4))) (let ((_let_155 (ASSUME :args (_let_66)))) (let ((_let_156 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_let_30 :args (_let_16 false _let_26)) :args (_let_74 false _let_16)) :args (_let_9 false _let_70 false _let_72 false _let_51 false _let_68 false _let_11 true _let_67 true _let_62 true _let_63 true _let_65 true _let_66 true _let_60 true _let_61 true _let_64 true _let_59 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_44 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_44 0)) :args ((or _let_43 _let_50))) _let_58 :args (_let_50 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp2 X)))) :args _let_49)) _let_48 :args (_let_46 false _let_47)) :args (_let_45 true _let_44 false _let_46)) _let_36 :args (false false _let_9 true _let_8 false _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cUnsatisfiable A)) (tptp.cUnsatisfiable B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlNothing A)) (tptp.cowlNothing B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlThing A)) (tptp.cowlThing B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cp A)) (tptp.cp B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cp1 A)) (tptp.cp1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cp2 A)) (tptp.cp2 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cp3 A)) (tptp.cp3 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cp4 A)) (tptp.cp4 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cp5 A)) (tptp.cp5 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rr A C)) (tptp.rr B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rr C A)) (tptp.rr C B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_integer A)) (tptp.xsd_integer B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_string A)) (tptp.xsd_string B))) (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.54 )
% 0.18/0.54 % SZS output end Proof for KRS081+1
% 0.18/0.55 % cvc5---1.0.5 exiting
% 0.18/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------