TSTP Solution File: KRS080+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS080+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS080+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n011.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 02:29:25 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/sandbox2/tmp/tmp.I4oihdu6Xv/cvc5---1.0.5_1146.p...
% 0.20/0.50 ------- get file name : TPTP file name is KRS080+1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1146.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Unsatisfiable for KRS080+1
% 0.20/0.54 % SZS output start Proof for KRS080+1
% 0.20/0.55 (
% 0.20/0.55 (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_21224))) (let ((_let_2 (forall ((X $$unsorted)) (=> (tptp.cp3 X) (not (or (tptp.cp4 X) (tptp.cp5 X))))))) (let ((_let_3 (forall ((X $$unsorted)) (=> (tptp.cp2 X) (not (or (tptp.cp4 X) (tptp.cp5 X) (tptp.cp3 X))))))) (let ((_let_4 (forall ((X $$unsorted)) (=> (tptp.cp1 X) (not (or (tptp.cp2 X) (tptp.cp4 X) (tptp.cp5 X) (tptp.cp3 X))))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp Y) (tptp.cp1 Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp1 Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp4 Y))) (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (=> (and (tptp.rr X Y0) (tptp.rr X Y1) (tptp.rr X Y2) (tptp.rr X Y3)) (or (= Y0 Y1) (= Y0 Y2) (= Y0 Y3) (= Y1 Y2) (= Y1 Y3) (= Y2 Y3)))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp2 Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp3 Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp Y) (tptp.cp3 Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cp2 Y) (tptp.cp Y)))))))) (let ((_let_6 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_9 (not _let_6))) (let ((_let_10 (tptp.rr tptp.i2003_11_14_17_19_21224 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 (not (tptp.cp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_9))) (let ((_let_13 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_21224 Y)) (not (tptp.cp Y)) (not (tptp.cp1 Y)))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_21224 Y)) (not (tptp.cp3 Y)))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_21224 Y)) (not (tptp.cp2 Y)))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_21224 Y0)) (not (tptp.rr tptp.i2003_11_14_17_19_21224 Y1)) (not (tptp.rr tptp.i2003_11_14_17_19_21224 Y2)) (not (tptp.rr tptp.i2003_11_14_17_19_21224 Y3)) (= Y0 Y1) (= Y0 Y2) (= Y0 Y3) (= Y1 Y2) (= Y1 Y3) (= Y2 Y3))))) (let ((_let_20 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_21224 Y)) (not (tptp.cp4 Y)))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_13))) (let ((_let_23 (and _let_22 (not (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_21224 Y)) (not (tptp.cp1 Y))))) _let_21 _let_19 _let_18 _let_16 (not (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_21224 Y)) (not (tptp.cp Y)) (not (tptp.cp3 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_19_21224 Y)) (not (tptp.cp2 Y)) (not (tptp.cp Y)))))))) (let ((_let_24 (= _let_1 _let_23))) (let ((_let_25 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp Y)) (not (tptp.cp1 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp1 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp4 Y))))) (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (or (not (tptp.rr X Y0)) (not (tptp.rr X Y1)) (not (tptp.rr X Y2)) (not (tptp.rr X Y3)) (= Y0 Y1) (= Y0 Y2) (= Y0 Y3) (= Y1 Y2) (= Y1 Y3) (= Y2 Y3))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp2 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp3 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp Y)) (not (tptp.cp3 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cp2 Y)) (not (tptp.cp Y)))))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_24)) :args ((or (not _let_1) _let_23 (not _let_24)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.i2003_11_14_17_19_21224 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_25))) _let_26 :args (_let_24 false _let_25)) :args (_let_23 false _let_1 false _let_24)))) (let ((_let_28 (not _let_23))) (let ((_let_29 (or))) (let ((_let_30 (_let_22))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_30)) :args _let_30)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_13))) (REFL :args (_let_14)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 0)) :args ((or _let_22 _let_28))) _let_27 :args (_let_22 false _let_23)) :args (_let_14 true _let_13)))) (let ((_let_32 (REFL :args (_let_12)))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 2)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_6))) :args _let_29)) :args ((or _let_6 _let_12))) _let_31 :args (_let_6 true _let_12)))) (let ((_let_34 (tptp.cp3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_35 (not _let_34))) (let ((_let_36 (not (tptp.cp5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_37 (tptp.cp4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.cp2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_40 (not _let_39))) (let ((_let_41 (and _let_40 _let_38 _let_36 _let_35))) (let ((_let_42 (not _let_7))) (let ((_let_43 (or _let_42 _let_41))) (let ((_let_44 (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_45 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 (not _let_41))) (let ((_let_48 (tptp.rr tptp.i2003_11_14_17_19_21224 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_35))) (let ((_let_51 (not _let_50))) (let ((_let_52 (_let_16))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) (REFL :args (_let_51)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 5)) :args ((or _let_16 _let_28))) _let_27 :args (_let_16 false _let_23)) :args (_let_51 true _let_15)))) (let ((_let_54 (REFL :args (_let_50)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 1)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_29)) :args ((or _let_34 _let_50))) _let_53 :args (_let_34 true _let_50)))) (let ((_let_56 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_57 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_58 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_59 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_60 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_61 (tptp.rr tptp.i2003_11_14_17_19_21224 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.rr tptp.i2003_11_14_17_19_21224 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_11 _let_64 _let_62 _let_49 _let_60 _let_59 _let_8 _let_58 _let_57 _let_56))) (let ((_let_66 (_let_19))) (let ((_let_67 (tptp.cp2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_68 (not _let_56))) (let ((_let_69 (not _let_67))) (let ((_let_70 (or _let_62 _let_69))) (let ((_let_71 (not _let_70))) (let ((_let_72 (_let_18))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_72)) :args _let_72)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) (REFL :args (_let_71)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 4)) :args ((or _let_18 _let_28))) _let_27 :args (_let_18 false _let_23)) :args (_let_71 true _let_17)))) (let ((_let_74 (REFL :args (_let_70)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 1)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_67))) :args _let_29)) :args ((or _let_67 _let_70))) _let_73 :args (_let_67 true _let_70)))) (let ((_let_76 (and _let_38 _let_36 _let_35))) (let ((_let_77 (or _let_40 _let_76))) (let ((_let_78 (forall ((X $$unsorted)) (or (not (tptp.cp2 X)) (and (not (tptp.cp4 X)) (not (tptp.cp5 X)) (not (tptp.cp3 X))))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 (not _let_76))) (let ((_let_82 (ASSUME :args (_let_67)))) (let ((_let_83 (ASSUME :args (_let_56)))) (let ((_let_84 (ASSUME :args (_let_40)))) (let ((_let_85 (tptp.cp4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_86 (not _let_57))) (let ((_let_87 (not _let_85))) (let ((_let_88 (or _let_64 _let_87))) (let ((_let_89 (not _let_88))) (let ((_let_90 (_let_21))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_90)) :args _let_90)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) (REFL :args (_let_89)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 2)) :args ((or _let_21 _let_28))) _let_27 :args (_let_21 false _let_23)) :args (_let_89 true _let_20)))) (let ((_let_92 (REFL :args (_let_88)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_88 1)) (CONG _let_92 (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_85))) :args _let_29)) :args ((or _let_85 _let_88))) _let_91 :args (_let_85 true _let_88)))) (let ((_let_94 (and _let_38 _let_36))) (let ((_let_95 (or _let_35 _let_94))) (let ((_let_96 (forall ((X $$unsorted)) (or (not (tptp.cp3 X)) (and (not (tptp.cp4 X)) (not (tptp.cp5 X))))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (REFL :args (_let_87)))) (let ((_let_99 (ASSUME :args (_let_85)))) (let ((_let_100 (TRUE_INTRO _let_99))) (let ((_let_101 (APPLY_UF tptp.cp4))) (let ((_let_102 (ASSUME :args (_let_57)))) (let ((_let_103 (ASSUME :args (_let_38)))) (let ((_let_104 (tptp.cp4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_105 (not _let_58))) (let ((_let_106 (not (tptp.cp3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_107 (not (tptp.cp5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_108 (not _let_104))) (let ((_let_109 (and _let_108 _let_107 _let_106))) (let ((_let_110 (or _let_69 _let_109))) (let ((_let_111 (ASSUME :args (_let_58)))) (let ((_let_112 (ASSUME :args (_let_108)))) (let ((_let_113 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_114 (not _let_59))) (let ((_let_115 (and _let_69 _let_108 _let_107 _let_106))) (let ((_let_116 (not _let_113))) (let ((_let_117 (or _let_116 _let_115))) (let ((_let_118 (not _let_115))) (let ((_let_119 (REFL :args (_let_9)))) (let ((_let_120 (ASSUME :args (_let_6)))) (let ((_let_121 (TRUE_INTRO _let_120))) (let ((_let_122 (APPLY_UF tptp.cp1))) (let ((_let_123 (ASSUME :args (_let_59)))) (let ((_let_124 (ASSUME :args (_let_116)))) (let ((_let_125 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_126 (not _let_60))) (let ((_let_127 (and (not (tptp.cp2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) _let_87 (not (tptp.cp5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.cp3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_128 (not _let_125))) (let ((_let_129 (or _let_128 _let_127))) (let ((_let_130 (not _let_127))) (let ((_let_131 (ASSUME :args (_let_60)))) (let ((_let_132 (ASSUME :args (_let_128)))) (let ((_let_133 (ASSUME :args (_let_8)))) (let ((_let_134 (ASSUME :args (_let_42)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_120 _let_133 _let_134) :args (_let_6 _let_42 _let_8)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_134)) (CONG (SYMM _let_133) :args _let_122) _let_121)) :args (_let_6 _let_8 _let_42)) :args ((not (and _let_6 _let_42 _let_8)) SB_LITERAL))) (CONG _let_119 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_7))) (REFL :args ((not _let_8))) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_11 _let_64 _let_62 _let_49 _let_60 _let_59 _let_58 _let_8 _let_57 _let_56 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 0)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_29)) :args ((or _let_10 _let_12))) _let_31 :args (_let_10 true _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_88 0)) (CONG _let_92 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) :args _let_29)) :args ((or _let_63 _let_88))) _let_91 :args (_let_63 true _let_88)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 0)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_29)) :args ((or _let_61 _let_70))) _let_73 :args (_let_61 true _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 0)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_29)) :args ((or _let_48 _let_50))) _let_53 :args (_let_48 true _let_50)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_120 _let_131 _let_132) :args (_let_6 _let_128 _let_60)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_132)) (CONG (SYMM _let_131) :args _let_122) _let_121)) :args (_let_6 _let_60 _let_128)) :args ((not (and _let_6 _let_128 _let_60)) SB_LITERAL))) (CONG _let_119 (MACRO_SR_PRED_INTRO :args ((= (not _let_128) _let_125))) (REFL :args (_let_126)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_128 _let_127 (not _let_129)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_127 1)) :args ((or _let_87 _let_130))) _let_93 :args (_let_130 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp4 X)))) :args _let_46)) _let_45 :args (_let_129 false _let_44)) :args (_let_128 true _let_127 false _let_129)) _let_33 :args (_let_126 true _let_125 false _let_6)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_120 _let_123 _let_124) :args (_let_6 _let_116 _let_59)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO 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(MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_112)) (CONG (SYMM _let_111) :args _let_101) _let_100)) :args (_let_85 _let_58 _let_108)) :args ((not (and _let_85 _let_108 _let_58)) SB_LITERAL))) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_108) _let_104))) (REFL :args (_let_105)) :args _let_29)) _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_109 0)) :args ((or _let_108 (not _let_109)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_69 _let_109 (not _let_110)))) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cp2 X) false))))) :args _let_80)) _let_79 :args (_let_110 false _let_78)) :args (_let_109 false _let_67 false _let_110)) :args (_let_108 false _let_109)) :args (_let_105 false _let_85 true _let_104)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_99 _let_102 _let_103) :args (_let_85 _let_38 _let_57)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_103)) (CONG (SYMM _let_102) :args _let_101) _let_100)) :args (_let_85 _let_57 _let_38)) :args ((not (and _let_85 _let_38 _let_57)) SB_LITERAL))) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) (REFL :args (_let_86)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_94 0)) :args ((or _let_38 (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_35 _let_94 (not _let_95)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cp3 X) false))))) :args (_let_96))) _let_97 :args (_let_95 false _let_96)) :args (_let_94 false _let_34 false _let_95)) :args (_let_38 false _let_94)) _let_93 :args (_let_86 true _let_37 false _let_85)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_82 _let_83 _let_84) :args (_let_67 _let_40 _let_56)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_84)) (CONG (SYMM _let_83) :args (APPLY_UF tptp.cp2)) (TRUE_INTRO _let_82))) :args (_let_67 _let_56 _let_40)) :args ((not (and _let_67 _let_40 _let_56)) SB_LITERAL))) (CONG (REFL :args (_let_69)) (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) (REFL :args (_let_68)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_40 _let_76 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_76 2)) :args ((or _let_35 _let_81))) _let_55 :args (_let_81 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp3 X)))) :args _let_80)) _let_79 :args (_let_77 false _let_78)) :args (_let_40 true _let_76 false _let_77)) _let_75 :args (_let_68 true _let_39 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_66) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rr tptp.i2003_11_14_17_19_21224 Y0) false)) (not (= (tptp.rr tptp.i2003_11_14_17_19_21224 Y1) false)) (not (= (tptp.rr tptp.i2003_11_14_17_19_21224 Y2) false)) (not (= (tptp.rr tptp.i2003_11_14_17_19_21224 Y3) false))))) :args _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 3)) :args ((or _let_19 _let_28))) _let_27 :args (_let_19 false _let_23)) :args (_let_65 false _let_19)) :args (_let_8 false _let_10 false _let_63 false _let_61 false _let_48 true _let_60 true _let_59 true _let_58 true _let_57 true _let_56 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_41 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 3)) :args ((or _let_35 _let_47))) _let_55 :args (_let_47 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp3 X)))) :args _let_46)) _let_45 :args (_let_43 false _let_44)) :args (_let_42 true _let_41 false _let_43)) _let_33 :args (false false _let_8 true _let_7 false _let_6)) :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 $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_5 _let_4 _let_3 _let_2 (forall ((X $$unsorted)) (=> (tptp.cp4 X) (not (tptp.cp5 X)))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for KRS080+1
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------