TSTP Solution File: NUN059+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN059+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 12:46:19 EDT 2023
% Result : Theorem 69.27s 69.58s
% Output : Proof 69.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN059+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% 0.03/0.13 % Command : do_cvc5 %s %d
% 0.13/0.33 % Computer : n023.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 : Sun Aug 27 09:53:26 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.46 %----Proving TF0_NAR, FOF, or CNF
% 69.27/69.58 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.V517Q37uhz/cvc5---1.0.5_1083.p...
% 69.27/69.58 ------- get file name : TPTP file name is NUN059+1
% 69.27/69.58 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1083.smt2...
% 69.27/69.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 69.27/69.58 --- Run --no-e-matching --full-saturate-quant at 5...
% 69.27/69.58 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 69.27/69.58 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 69.27/69.58 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 69.27/69.58 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 69.27/69.58 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 69.27/69.58 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 69.27/69.58 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 69.27/69.58 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 69.27/69.58 --- Run --relevant-triggers --full-saturate-quant at 5...
% 69.27/69.58 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 69.27/69.58 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 69.27/69.58 % SZS status Theorem for NUN059+1
% 69.27/69.58 % SZS output start Proof for NUN059+1
% 69.27/69.58 (
% 69.27/69.58 (let ((_let_1 (not (exists ((Y1 $$unsorted) (Y3 $$unsorted) (Y2 $$unsorted) (Y4 $$unsorted)) (and (exists ((Y5 $$unsorted)) (and (tptp.id Y4 Y5) (tptp.r4 Y2 Y2 Y5))) (exists ((Y6 $$unsorted)) (and (tptp.r4 Y3 Y3 Y6) (exists ((Y7 $$unsorted)) (and (tptp.r4 Y1 Y1 Y7) (tptp.r3 Y7 Y6 Y4)))))))))) (let ((_let_2 (forall ((X5 $$unsorted)) (exists ((Y8 $$unsorted)) (and (exists ((Y17 $$unsorted)) (and (tptp.r1 Y17) (tptp.r4 X5 Y17 Y8))) (exists ((Y18 $$unsorted)) (and (tptp.id Y8 Y18) (tptp.r1 Y18)))))))) (let ((_let_3 (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (tptp.id Y9 X4) (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9)))))))) (let ((_let_4 (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted) (X41 $$unsorted) (X42 $$unsorted) (X43 $$unsorted)) (let ((_let_1 (tptp.r4 X41 X42 X43))) (let ((_let_2 (tptp.r4 X38 X39 X40))) (or (not (tptp.id X38 X41)) (not (tptp.id X39 X42)) (not (tptp.id X40 X43)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) (let ((_let_5 (forall ((X32 $$unsorted) (X33 $$unsorted) (X34 $$unsorted) (X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (let ((_let_1 (tptp.r3 X35 X36 X37))) (let ((_let_2 (tptp.r3 X32 X33 X34))) (or (not (tptp.id X32 X35)) (not (tptp.id X33 X36)) (not (tptp.id X34 X37)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) (let ((_let_6 (forall ((X21 $$unsorted) (X22 $$unsorted)) (or (not (tptp.id X21 X22)) (tptp.id X22 X21))))) (let ((_let_7 (forall ((X20 $$unsorted)) (tptp.id X20 X20)))) (let ((_let_8 (exists ((Y24 $$unsorted)) (forall ((X19 $$unsorted)) (let ((_let_1 (tptp.id X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1))))))))) (let ((_let_9 (tptp.id skv_2 skv_2))) (let ((_let_10 (skop_14 skv_2))) (let ((_let_11 (tptp.id skv_2 _let_10))) (let ((_let_12 (skop_15 skv_2))) (let ((_let_13 (tptp.id skv_2 _let_12))) (let ((_let_14 (tptp.r3 skv_2 _let_12 _let_10))) (let ((_let_15 (tptp.r3 skv_2 skv_2 skv_2))) (let ((_let_16 (and _let_15 _let_14))) (let ((_let_17 (not _let_14))) (let ((_let_18 (not _let_15))) (let ((_let_19 (and _let_18 _let_17))) (let ((_let_20 (not _let_11))) (let ((_let_21 (not _let_13))) (let ((_let_22 (not _let_9))) (let ((_let_23 (or _let_22 _let_21 _let_20 _let_19 _let_16))) (let ((_let_24 (_let_7))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (skv_2 QUANTIFIERS_INST_ENUM))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args _let_26) :args _let_24)) _let_25 :args (_let_9 false _let_7)))) (let ((_let_28 (tptp.id _let_10 skv_2))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_11))) (let ((_let_31 (_let_6))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 ((not (= (tptp.id X21 X22) false))))) (let ((_let_34 (forall ((BOUND_VARIABLE_1484 $$unsorted)) (tptp.id (skop_14 BOUND_VARIABLE_1484) BOUND_VARIABLE_1484)))) (let ((_let_35 (0))) (let ((_let_36 (forall ((BOUND_VARIABLE_1496 $$unsorted)) (tptp.r3 BOUND_VARIABLE_1496 (skop_15 BOUND_VARIABLE_1496) (skop_14 BOUND_VARIABLE_1496))))) (let ((_let_37 (forall ((BOUND_VARIABLE_1490 $$unsorted)) (tptp.r1 (skop_15 BOUND_VARIABLE_1490))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X4 $$unsorted)) (not (forall ((Y9 $$unsorted) (BOUND_VARIABLE_1105 $$unsorted)) (or (not (tptp.id Y9 X4)) (not (tptp.r1 BOUND_VARIABLE_1105)) (not (tptp.r3 X4 BOUND_VARIABLE_1105 Y9)))))) (and _let_34 _let_37 _let_36)))))))) (let ((_let_39 (_let_34))) (let ((_let_40 (tptp.id _let_12 skv_2))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_13))) (let ((_let_43 (tptp.r1 _let_12))) (let ((_let_44 (and _let_40 _let_43))) (let ((_let_45 (not _let_43))) (let ((_let_46 (and _let_45 _let_41))) (let ((_let_47 (or _let_44 _let_46))) (let ((_let_48 (forall ((X19 $$unsorted)) (let ((_let_1 (tptp.id X19 skv_2))) (let ((_let_2 (tptp.r1 X19))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_8)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((Y24 $$unsorted)) (not (forall ((X19 $$unsorted)) (let ((_let_1 (tptp.id X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1))))))))) _let_48))))))) (let ((_let_50 (_let_48))) (let ((_let_51 ((tptp.r1 X19)))) (let ((_let_52 (not _let_46))) (let ((_let_53 (1))) (let ((_let_54 (_let_37))) (let ((_let_55 (_let_5))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (not _let_19))) (let ((_let_58 (2))) (let ((_let_59 (_let_36))) (let ((_let_60 (not _let_16))) (let ((_let_61 (tptp.r4 skv_2 skv_2 skv_2))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_22 _let_62 _let_62 _let_62 _let_18))) (let ((_let_64 (forall ((Y1 $$unsorted) (Y3 $$unsorted) (Y2 $$unsorted) (Y4 $$unsorted) (BOUND_VARIABLE_1250 $$unsorted) (BOUND_VARIABLE_1248 $$unsorted) (BOUND_VARIABLE_1241 $$unsorted)) (or (not (tptp.id Y4 BOUND_VARIABLE_1241)) (not (tptp.r4 Y2 Y2 BOUND_VARIABLE_1241)) (not (tptp.r4 Y3 Y3 BOUND_VARIABLE_1248)) (not (tptp.r4 Y1 Y1 BOUND_VARIABLE_1250)) (not (tptp.r3 BOUND_VARIABLE_1250 BOUND_VARIABLE_1248 Y4)))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (skop_17 skv_2))) (let ((_let_67 (tptp.r4 skv_2 skv_2 _let_66))) (let ((_let_68 (and _let_61 _let_67))) (let ((_let_69 (not _let_67))) (let ((_let_70 (and _let_62 _let_69))) (let ((_let_71 (tptp.id skv_2 _let_66))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_22 _let_22 _let_72 _let_70 _let_68))) (let ((_let_74 (_let_4))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (not _let_70))) (let ((_let_77 (skop_16 skv_2))) (let ((_let_78 (skop_18 skv_2))) (let ((_let_79 (tptp.r4 skv_2 _let_78 _let_77))) (let ((_let_80 (and _let_67 _let_79))) (let ((_let_81 (not _let_79))) (let ((_let_82 (and _let_69 _let_81))) (let ((_let_83 (tptp.id _let_66 _let_77))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.id skv_2 _let_78))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_22 _let_86 _let_84 _let_82 _let_80))) (let ((_let_88 (not _let_82))) (let ((_let_89 (forall ((BOUND_VARIABLE_1531 $$unsorted)) (tptp.r4 BOUND_VARIABLE_1531 (skop_18 BOUND_VARIABLE_1531) (skop_16 BOUND_VARIABLE_1531))))) (let ((_let_90 (forall ((BOUND_VARIABLE_1545 $$unsorted)) (tptp.r1 (skop_17 BOUND_VARIABLE_1545))))) (let ((_let_91 (forall ((BOUND_VARIABLE_1538 $$unsorted)) (tptp.id (skop_16 BOUND_VARIABLE_1538) (skop_17 BOUND_VARIABLE_1538))))) (let ((_let_92 (forall ((BOUND_VARIABLE_1525 $$unsorted)) (tptp.r1 (skop_18 BOUND_VARIABLE_1525))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X5 $$unsorted)) (not (forall ((Y8 $$unsorted) (BOUND_VARIABLE_1150 $$unsorted) (BOUND_VARIABLE_1143 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1143)) (not (tptp.r4 X5 BOUND_VARIABLE_1143 Y8)) (not (tptp.id Y8 BOUND_VARIABLE_1150)) (not (tptp.r1 BOUND_VARIABLE_1150)))))) (and _let_92 _let_89 _let_91 _let_90)))))))) (let ((_let_94 (_let_89))) (let ((_let_95 (tptp.id _let_78 skv_2))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_85))) (let ((_let_98 (tptp.r1 _let_78))) (let ((_let_99 (and _let_95 _let_98))) (let ((_let_100 (not _let_98))) (let ((_let_101 (and _let_100 _let_96))) (let ((_let_102 (or _let_99 _let_101))) (let ((_let_103 (not _let_101))) (let ((_let_104 (_let_92))) (let ((_let_105 (tptp.id _let_77 _let_66))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_83))) (let ((_let_108 (_let_91))) (let ((_let_109 (tptp.id _let_66 skv_2))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_71))) (let ((_let_112 (tptp.r1 _let_66))) (let ((_let_113 (and _let_109 _let_112))) (let ((_let_114 (not _let_112))) (let ((_let_115 (and _let_114 _let_110))) (let ((_let_116 (or _let_113 _let_115))) (let ((_let_117 (not _let_115))) (let ((_let_118 (_let_90))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_20 _let_21 _let_19 _let_16 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_16 0)) :args ((or _let_15 _let_60))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_63))) :args ((or _let_22 _let_18 _let_62 (not _let_63)))) _let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_68 0)) :args ((or _let_61 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_73))) :args ((or _let_22 _let_72 _let_70 _let_68 (not _let_73)))) _let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_110 _let_71 (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 0)) :args ((or _let_109 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_113 _let_115 (not _let_116)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_115 0)) :args ((or _let_114 _let_117))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_118) :args _let_26) :args _let_118)) (AND_ELIM _let_93 :args (3)) :args (_let_112 false _let_90)) :args (_let_117 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_66 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_116 false _let_48)) :args (_let_113 true _let_115 false _let_116)) :args (_let_109 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_66 skv_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_111 false _let_6)) :args (_let_71 false _let_109 false _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_70 1)) :args ((or _let_69 _let_76))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_80 0)) :args ((or _let_67 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_22 _let_84 _let_86 _let_82 _let_80 (not _let_87)))) _let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_106 _let_83 (not _let_107)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_108) :args _let_26) :args _let_108)) (AND_ELIM _let_93 :args _let_58) :args (_let_105 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_77 _let_66 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_107 false _let_6)) :args (_let_83 false _let_105 false _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_96 _let_85 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_99 0)) :args ((or _let_95 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_99 _let_101 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 0)) :args ((or _let_100 _let_103))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_104) :args _let_26) :args _let_104)) (AND_ELIM _let_93 :args _let_35) :args (_let_98 false _let_92)) :args (_let_103 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_78 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_102 false _let_48)) :args (_let_99 true _let_101 false _let_102)) :args (_let_95 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_78 skv_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_97 false _let_6)) :args (_let_85 false _let_95 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_82 1)) :args ((or _let_81 _let_88))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_94) :args _let_26) :args _let_94)) (AND_ELIM _let_93 :args _let_53) :args (_let_79 false _let_89)) :args (_let_88 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (skv_2 skv_2 _let_66 skv_2 _let_78 _let_77 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74)) _let_75 :args (_let_87 false _let_4)) :args (_let_80 false _let_9 false _let_83 false _let_85 true _let_82 false _let_87)) :args (_let_67 false _let_80)) :args (_let_76 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (skv_2 skv_2 skv_2 skv_2 skv_2 _let_66 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74)) _let_75 :args (_let_73 false _let_4)) :args (_let_68 false _let_9 false _let_71 true _let_70 false _let_73)) :args (_let_61 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (skv_2 skv_2 skv_2 skv_2 skv_2 skv_2 skv_2 QUANTIFIERS_INST_ENUM)) :args (_let_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_18 false _let_9 false _let_61 false _let_63)) :args (_let_60 true _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 1)) :args ((or _let_17 _let_57))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args _let_26) :args _let_59)) (AND_ELIM _let_38 :args _let_58) :args (_let_14 false _let_36)) :args (_let_57 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (skv_2 skv_2 skv_2 skv_2 _let_12 _let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55)) _let_56 :args (_let_23 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_13 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_44 0)) :args ((or _let_40 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_44 _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_46 0)) :args ((or _let_45 _let_52))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_54) :args _let_26) :args _let_54)) (AND_ELIM _let_38 :args _let_53) :args (_let_43 false _let_37)) :args (_let_52 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_47 false _let_48)) :args (_let_44 true _let_46 false _let_47)) :args (_let_40 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_12 skv_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_42 false _let_6)) :args (_let_13 false _let_40 false _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_11 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args _let_26) :args _let_39)) (AND_ELIM _let_38 :args _let_35) :args (_let_28 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_10 skv_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_30 false _let_6)) :args (_let_11 false _let_28 false _let_30)) _let_27 :args (false true _let_16 true _let_19 false _let_23 false _let_13 false _let_11 false _let_9)) :args (_let_8 (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (tptp.id X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) (forall ((X13 $$unsorted) (X14 $$unsorted)) (exists ((Y22 $$unsorted)) (forall ((X15 $$unsorted)) (let ((_let_1 (tptp.id X15 Y22))) (let ((_let_2 (tptp.r3 X13 X14 X15))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) (forall ((X16 $$unsorted) (X17 $$unsorted)) (exists ((Y23 $$unsorted)) (forall ((X18 $$unsorted)) (let ((_let_1 (tptp.id X18 Y23))) (let ((_let_2 (tptp.r4 X16 X17 X18))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) _let_7 _let_6 (forall ((X23 $$unsorted) (X24 $$unsorted) (X25 $$unsorted)) (or (not (tptp.id X23 X24)) (tptp.id X23 X25) (not (tptp.id X24 X25)))) (forall ((X26 $$unsorted) (X27 $$unsorted)) (let ((_let_1 (tptp.r1 X27))) (let ((_let_2 (tptp.r1 X26))) (or (not (tptp.id X26 X27)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))) (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted) (X31 $$unsorted)) (let ((_let_1 (tptp.r2 X30 X31))) (let ((_let_2 (tptp.r2 X28 X29))) (or (not (tptp.id X28 X30)) (not (tptp.id X29 X31)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))) _let_5 _let_4 (forall ((X1 $$unsorted) (X8 $$unsorted)) (exists ((Y4 $$unsorted)) (and (exists ((Y5 $$unsorted)) (and (tptp.id Y5 Y4) (exists ((Y15 $$unsorted)) (and (tptp.r2 X8 Y15) (tptp.r3 X1 Y15 Y5))))) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y4) (tptp.r3 X1 X8 Y7)))))) (forall ((X2 $$unsorted) (X9 $$unsorted)) (exists ((Y2 $$unsorted)) (and (exists ((Y3 $$unsorted)) (and (tptp.id Y3 Y2) (exists ((Y14 $$unsorted)) (and (tptp.r2 X9 Y14) (tptp.r4 X2 Y14 Y3))))) (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 $$unsorted)) (or (not (tptp.id Y13 Y12)) (not (tptp.r2 X3 Y13)))) (not (tptp.r2 X10 Y12)))) (tptp.id X3 X10))) _let_3 _let_2 (forall ((X6 $$unsorted)) (or (exists ((Y19 $$unsorted)) (and (tptp.id X6 Y19) (tptp.r1 Y19))) (exists ((Y1 $$unsorted) (Y11 $$unsorted)) (and (tptp.id X6 Y11) (tptp.r2 Y1 Y11))))) (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (forall ((Y20 $$unsorted)) (or (not (tptp.id Y20 Y10)) (not (tptp.r1 Y20)))) (not (tptp.r2 X7 Y10)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 69.27/69.59 )
% 69.27/69.59 % SZS output end Proof for NUN059+1
% 69.27/69.59 % cvc5---1.0.5 exiting
% 69.27/69.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------