TSTP Solution File: NUN055+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN055+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 12:46:17 EDT 2023
% Result : Theorem 0.21s 0.58s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN055+2 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 09:12:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.58 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.hEo13UmWnX/cvc5---1.0.5_24574.p...
% 0.21/0.58 ------- get file name : TPTP file name is NUN055+2
% 0.21/0.58 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24574.smt2...
% 0.21/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58 % SZS status Theorem for NUN055+2
% 0.21/0.58 % SZS output start Proof for NUN055+2
% 0.21/0.58 (
% 0.21/0.58 (let ((_let_1 (not (exists ((Y1 $$unsorted)) (and (exists ((Y2 $$unsorted)) (and (exists ((Y4 $$unsorted)) (and (tptp.r2 Y4 Y2) (exists ((Y6 $$unsorted)) (and (tptp.r1 Y6) (tptp.r2 Y6 Y4))))) (exists ((Y7 $$unsorted)) (and (tptp.r1 Y7) (tptp.r3 Y7 Y2 Y1))))) (exists ((Y3 $$unsorted)) (and (= Y1 Y3) (exists ((Y5 $$unsorted)) (and (tptp.r2 Y5 Y3) (exists ((Y8 $$unsorted)) (and (tptp.r1 Y8) (tptp.r2 Y8 Y5)))))))))))) (let ((_let_2 (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9))) (= Y9 X4)))))) (let ((_let_3 (forall ((X1 $$unsorted) (X8 $$unsorted)) (exists ((Y4 $$unsorted)) (and (exists ((Y5 $$unsorted)) (and (exists ((Y15 $$unsorted)) (and (tptp.r2 X8 Y15) (tptp.r3 X1 Y15 Y5))) (= Y5 Y4))) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y4) (tptp.r3 X1 X8 Y7)))))))) (let ((_let_4 (forall ((X13 $$unsorted) (X14 $$unsorted)) (exists ((Y22 $$unsorted)) (forall ((X15 $$unsorted)) (let ((_let_1 (= X15 Y22))) (let ((_let_2 (tptp.r3 X13 X14 X15))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))))) (let ((_let_5 (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (= X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))))) (let ((_let_6 (exists ((Y24 $$unsorted)) (forall ((X19 $$unsorted)) (let ((_let_1 (= X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1)))))))) (let ((_let_7 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_9 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_12 (not _let_7))) (let ((_let_13 (forall ((BOUND_VARIABLE_877 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_877))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_877 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_877 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_877))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_877)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y21)))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (forall ((X11 $$unsorted)) (not (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_877 $$unsorted)) (let ((_let_1 (tptp.r2 X11 BOUND_VARIABLE_877))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_877)))))) (not (tptp.r2 X11 Y21)))))))) (let ((_let_19 (not _let_16))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_22 (or))) (let ((_let_23 (_let_19))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_23)) :args _let_23) (REWRITE :args ((=> _let_19 (not (or (not (forall ((BOUND_VARIABLE_877 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_877))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_877)))))) _let_12))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_16))) (REFL :args (_let_17)) :args _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args _let_21) :args (_let_18))) _let_20 :args (_let_19 false _let_18)) :args (_let_17 true _let_16)))) (let ((_let_25 (REFL :args (_let_15)))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 1)) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_7))) :args _let_22)) :args ((or _let_7 _let_15))) _let_24 :args (_let_7 true _let_15)))) (let ((_let_27 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_28 (and _let_27 _let_8))) (let ((_let_29 (not _let_27))) (let ((_let_30 (or _let_29 _let_28))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_22)) :args ((or _let_13 _let_15))) _let_24 :args (_let_13 true _let_15)))) (let ((_let_32 (_let_13))) (let ((_let_33 ((not (= (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_877) false))))) (let ((_let_34 (ASSUME :args _let_32))) (let ((_let_35 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_36 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_37 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_38 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (and _let_38 _let_35))) (let ((_let_40 (not _let_38))) (let ((_let_41 (or _let_40 _let_39))) (let ((_let_42 (forall ((BOUND_VARIABLE_925 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_925))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_925 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))))))) (let ((_let_43 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)))) (let ((_let_44 (not _let_42))) (let ((_let_45 (or _let_44 _let_43))) (let ((_let_46 (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_925 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_925))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_925)))))) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y22)))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (forall ((X13 $$unsorted) (X14 $$unsorted)) (not (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_925 $$unsorted)) (let ((_let_1 (tptp.r3 X13 X14 BOUND_VARIABLE_925))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_925)))))) (not (tptp.r3 X13 X14 Y22)))))))) (let ((_let_49 (not _let_46))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_48))) (let ((_let_52 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_53 (_let_49))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 0)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_42))) :args _let_22)) :args ((or _let_42 _let_45))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53) (REWRITE :args ((=> _let_49 (not (or (not (forall ((BOUND_VARIABLE_925 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_925))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 BOUND_VARIABLE_925)))))) _let_43))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_46))) (REFL :args (_let_47)) :args _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args _let_52) :args _let_51)) _let_50 :args (_let_49 false _let_48)) :args (_let_47 true _let_46)) :args (_let_42 true _let_45)))) (let ((_let_55 (_let_42))) (let ((_let_56 ((not (= (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_925) false))))) (let ((_let_57 (ASSUME :args _let_55))) (let ((_let_58 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_59 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_61 (and _let_60 _let_58))) (let ((_let_62 (not _let_60))) (let ((_let_63 (or _let_62 _let_61))) (let ((_let_64 (forall ((BOUND_VARIABLE_830 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_830))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_830 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_65 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (not _let_65))) (let ((_let_67 (not _let_64))) (let ((_let_68 (or _let_67 _let_66))) (let ((_let_69 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_830 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_830))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_830)))))) (not (tptp.r1 Y24)))))) (let ((_let_70 (not _let_68))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (not _let_69))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_71) :args (_let_72)) (REWRITE :args ((=> _let_72 (not (or (not (forall ((BOUND_VARIABLE_830 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_830))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_830)))))) _let_66))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_69))) (REFL :args (_let_70)) :args _let_22)) _let_71 :args (_let_70 true _let_69)))) (let ((_let_74 (REFL :args (_let_68)))) (let ((_let_75 (_let_64))) (let ((_let_76 (not _let_59))) (let ((_let_77 (or _let_62 _let_76))) (let ((_let_78 (forall ((BOUND_VARIABLE_1209 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1209)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1209 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_79 (not _let_77))) (let ((_let_80 (forall ((X4 $$unsorted)) (not (forall ((BOUND_VARIABLE_1209 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1209)) (not (tptp.r3 X4 BOUND_VARIABLE_1209 X4)))))))) (let ((_let_81 (not _let_78))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_83)) :args _let_83)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_78))) (REFL :args (_let_79)) :args _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args _let_21) :args (_let_80))) _let_82 :args (_let_81 false _let_80)) :args (_let_79 true _let_78)))) (let ((_let_85 (REFL :args (_let_77)))) (let ((_let_86 (and _let_59 _let_58))) (let ((_let_87 (_let_59 _let_58))) (let ((_let_88 (ASSUME :args (_let_59)))) (let ((_let_89 (APPLY_UF tptp.r3))) (let ((_let_90 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_91 (ASSUME :args (_let_58)))) (let ((_let_92 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_93 (and _let_92 _let_36))) (let ((_let_94 (not _let_92))) (let ((_let_95 (or _let_94 _let_93))) (let ((_let_96 (not _let_37))) (let ((_let_97 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_98 _let_96 _let_94))) (let ((_let_102 (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1073 $$unsorted) (BOUND_VARIABLE_1066 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1066)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1066 Y4)) (not (tptp.r2 BOUND_VARIABLE_1073 Y4)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1073)))))) (let ((_let_103 (not _let_101))) (let ((_let_104 (forall ((X1 $$unsorted) (X8 $$unsorted)) (not (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1073 $$unsorted) (BOUND_VARIABLE_1066 $$unsorted)) (or (not (tptp.r2 X8 BOUND_VARIABLE_1066)) (not (tptp.r3 X1 BOUND_VARIABLE_1066 Y4)) (not (tptp.r2 BOUND_VARIABLE_1073 Y4)) (not (tptp.r3 X1 X8 BOUND_VARIABLE_1073)))))))) (let ((_let_105 (not _let_102))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_104))) (let ((_let_108 (_let_105))) (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_105) _let_102))) (REFL :args (_let_103)) :args _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args _let_52) :args _let_107)) _let_106 :args (_let_105 false _let_104)) :args (_let_103 true _let_102)))) (let ((_let_110 (REFL :args (_let_101)))) (let ((_let_111 (and _let_37 _let_36 _let_35))) (let ((_let_112 (_let_37 _let_36 _let_35))) (let ((_let_113 (ASSUME :args (_let_37)))) (let ((_let_114 (APPLY_UF tptp.r2))) (let ((_let_115 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)))) (let ((_let_116 (ASSUME :args (_let_36)))) (let ((_let_117 (ASSUME :args (_let_35)))) (let ((_let_118 (not _let_9))) (let ((_let_119 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_120 (not _let_119))) (let ((_let_121 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_122 (not _let_121))) (let ((_let_123 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_66 _let_12 _let_66 _let_122 _let_120 _let_66 _let_118))) (let ((_let_126 (forall ((Y1 $$unsorted) (BOUND_VARIABLE_1483 $$unsorted) (BOUND_VARIABLE_1481 $$unsorted) (BOUND_VARIABLE_1468 $$unsorted) (BOUND_VARIABLE_1466 $$unsorted) (BOUND_VARIABLE_1464 $$unsorted) (BOUND_VARIABLE_1462 $$unsorted)) (or (not (tptp.r2 BOUND_VARIABLE_1468 BOUND_VARIABLE_1462)) (not (tptp.r1 BOUND_VARIABLE_1466)) (not (tptp.r2 BOUND_VARIABLE_1466 BOUND_VARIABLE_1468)) (not (tptp.r1 BOUND_VARIABLE_1464)) (not (tptp.r3 BOUND_VARIABLE_1464 BOUND_VARIABLE_1462 Y1)) (not (tptp.r2 BOUND_VARIABLE_1483 Y1)) (not (tptp.r1 BOUND_VARIABLE_1481)) (not (tptp.r2 BOUND_VARIABLE_1481 BOUND_VARIABLE_1483)))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_124 _let_122 _let_120 _let_129))) (let ((_let_131 (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1073 $$unsorted) 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:args (_let_37 true _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_93 1)) :args ((or _let_36 (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_94 _let_93 (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_101 3)) (CONG _let_110 (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_92))) :args _let_22)) :args ((or _let_92 _let_101))) _let_109 :args (_let_92 true _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55))) _let_54 :args (_let_95 false _let_42)) :args (_let_93 false _let_92 false _let_95)) :args (_let_36 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_35 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_39 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_86)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_88 _let_91) (SCOPE (TRUE_ELIM (TRANS (CONG _let_90 (SYMM (SYMM _let_91)) _let_90 :args _let_89) (TRUE_INTRO _let_88))) :args _let_87)) :args _let_87)) :args (true _let_86)) :args ((or _let_38 _let_76 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_77 1)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_59))) :args _let_22)) :args ((or _let_59 _let_77))) _let_84 :args (_let_59 true _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 1)) :args ((or _let_58 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_62 _let_61 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_77 0)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_60))) :args _let_22)) :args ((or _let_60 _let_77))) _let_84 :args (_let_60 true _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_75) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 BOUND_VARIABLE_830) false))))) :args _let_75))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 0)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_64))) :args _let_22)) :args ((or _let_64 _let_68))) _let_73 :args (_let_64 true _let_68)) :args (_let_63 false _let_64)) :args (_let_61 false _let_60 false _let_63)) :args (_let_58 false _let_61)) :args (_let_38 false _let_59 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_41 false _let_42)) :args (_let_39 false _let_38 false _let_41)) :args (_let_35 false _let_39)) :args (_let_27 false _let_37 false _let_36 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32))) _let_31 :args (_let_30 false _let_13)) :args (_let_28 false _let_27 false _let_30)) :args (_let_8 false _let_28)) _let_26 :args (false false _let_11 false _let_10 true _let_9 false _let_8 false _let_7)) :args (_let_6 _let_5 _let_4 (forall ((X16 $$unsorted) (X17 $$unsorted)) (exists ((Y23 $$unsorted)) (forall ((X18 $$unsorted)) (let ((_let_1 (= X18 Y23))) (let ((_let_2 (tptp.r4 X16 X17 X18))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) _let_3 (forall ((X2 $$unsorted) (X9 $$unsorted)) (exists ((Y2 $$unsorted)) (and (exists ((Y3 $$unsorted)) (and (exists ((Y14 $$unsorted)) (and (tptp.r2 X9 Y14) (tptp.r4 X2 Y14 Y3))) (= Y3 Y2))) (exists ((Y6 $$unsorted)) (and (tptp.r3 Y6 X2 Y2) (tptp.r4 X2 X9 Y6)))))) (forall ((X3 $$unsorted) (X10 $$unsorted)) (or (forall ((Y12 $$unsorted)) (or (forall ((Y13 $$unsorted)) (or (not (tptp.r2 X3 Y13)) (not (= Y13 Y12)))) (not (tptp.r2 X10 Y12)))) (= X3 X10))) _let_2 (forall ((X5 $$unsorted)) (exists ((Y8 $$unsorted)) (and (exists ((Y17 $$unsorted)) (and (tptp.r1 Y17) (tptp.r4 X5 Y17 Y8))) (exists ((Y18 $$unsorted)) (and (tptp.r1 Y18) (= Y8 Y18)))))) (forall ((X6 $$unsorted)) (or (exists ((Y19 $$unsorted)) (and (tptp.r1 Y19) (= X6 Y19))) (exists ((Y1 $$unsorted) (Y11 $$unsorted)) (and (tptp.r2 Y1 Y11) (= X6 Y11))))) (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (forall ((Y20 $$unsorted)) (or (not (tptp.r1 Y20)) (not (= Y20 Y10)))) (not (tptp.r2 X7 Y10)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58 )
% 0.21/0.58 % SZS output end Proof for NUN055+2
% 0.21/0.58 % cvc5---1.0.5 exiting
% 0.21/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------