TSTP Solution File: SET018-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET018-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 14:36:49 EDT 2023
% Result : Unsatisfiable 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET018-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 16:22:07 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Bv17vSlxI4/cvc5---1.0.5_732.p...
% 0.21/0.50 ------- get file name : TPTP file name is SET018-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_732.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Unsatisfiable for SET018-1
% 0.21/0.53 % SZS output start Proof for SET018-1
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (= tptp.r1 tptp.r2))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.ordered_pair tptp.m2 tptp.r2))) (let ((_let_4 (tptp.ordered_pair tptp.m1 tptp.r1))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))))) (let ((_let_8 (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))))) (let ((_let_11 (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X))))) (let ((_let_12 (tptp.unordered_pair tptp.m2 tptp.r2))) (let ((_let_13 (tptp.member tptp.m2 _let_12))) (let ((_let_14 (tptp.singleton_set tptp.m1))) (let ((_let_15 (tptp.member tptp.m2 _let_14))) (let ((_let_16 (= _let_14 _let_12))) (let ((_let_17 (_let_9))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 ((tptp.unordered_pair X Y)))) (let ((_let_20 (= tptp.m1 tptp.m2))) (let ((_let_21 (not _let_15))) (let ((_let_22 (or _let_21 _let_20))) (let ((_let_23 (_let_10))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 ((not (= (tptp.member X (tptp.singleton_set Y)) false))))) (let ((_let_26 (tptp.unordered_pair tptp.m1 tptp.r1))) (let ((_let_27 (= _let_26 _let_12))) (let ((_let_28 (tptp.member tptp.r1 _let_26))) (let ((_let_29 (tptp.member tptp.r1 _let_12))) (let ((_let_30 (tptp.member tptp.r2 _let_12))) (let ((_let_31 (tptp.member tptp.r2 _let_26))) (let ((_let_32 (= tptp.r1 tptp.m2))) (let ((_let_33 (not _let_29))) (let ((_let_34 (or _let_33 _let_32 _let_1))) (let ((_let_35 (= tptp.m1 tptp.r2))) (let ((_let_36 (not _let_31))) (let ((_let_37 (or _let_36 _let_35 _let_1))) (let ((_let_38 (not _let_20))) (let ((_let_39 (tptp.singleton_set tptp.m2))) (let ((_let_40 (tptp.unordered_pair _let_39 _let_12))) (let ((_let_41 (tptp.member _let_26 _let_40))) (let ((_let_42 (= _let_26 _let_39))) (let ((_let_43 (not _let_41))) (let ((_let_44 (or _let_43 _let_42 _let_27))) (let ((_let_45 (tptp.unordered_pair _let_14 _let_26))) (let ((_let_46 (tptp.member _let_12 _let_45))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_16 _let_27))) (let ((_let_49 (tptp.member _let_26 _let_45))) (let ((_let_50 (= _let_3 _let_40))) (let ((_let_51 (= _let_4 _let_45))) (let ((_let_52 (_let_8))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 ((tptp.unordered_pair X Y)))) (let ((_let_55 (_let_6))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((tptp.ordered_pair X Y)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.m2 tptp.r2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_50 false _let_6)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.m1 tptp.r1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_51 false _let_6)))) (let ((_let_60 (ASSUME :args (_let_5)))) (let ((_let_61 (and _let_5 _let_51 _let_50 _let_49))) (let ((_let_62 (ASSUME :args (_let_49)))) (let ((_let_63 (APPLY_UF tptp.member))) (let ((_let_64 (ASSUME :args (_let_51)))) (let ((_let_65 (SYMM (SYMM _let_64)))) (let ((_let_66 (SYMM _let_60))) (let ((_let_67 (ASSUME :args (_let_50)))) (let ((_let_68 (SYMM _let_67))) (let ((_let_69 (TRANS _let_68 _let_66 _let_65))) (let ((_let_70 (_let_7))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 ((not (= (tptp.member X (tptp.unordered_pair Y Z)) false))))) (let ((_let_73 (tptp.member _let_12 _let_40))) (let ((_let_74 (and _let_5 _let_51 _let_50 _let_73))) (let ((_let_75 (ASSUME :args (_let_73)))) (let ((_let_76 (REFL :args (_let_12)))) (let ((_let_77 (not _let_42))) (let ((_let_78 (not _let_16))) (let ((_let_79 (or))) (let ((_let_80 (REFL :args (_let_78)))) (let ((_let_81 (REFL :args (_let_38)))) (let ((_let_82 (not _let_27))) (let ((_let_83 (and _let_42 _let_82 _let_20))) (let ((_let_84 (= _let_14 _let_39))) (let ((_let_85 (ASSUME :args (_let_82)))) (let ((_let_86 (=))) (let ((_let_87 (ASSUME :args (_let_42)))) (let ((_let_88 (SYMM (ASSUME :args (_let_84))))) (let ((_let_89 (_let_20))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (SYMM (SYMM _let_90)))) (let ((_let_92 (and _let_28 _let_27))) (let ((_let_93 (_let_28 _let_27))) (let ((_let_94 (ASSUME :args (_let_28)))) (let ((_let_95 (ASSUME :args (_let_27)))) (let ((_let_96 (SYMM (SYMM _let_95)))) (let ((_let_97 (and _let_30 _let_27))) (let ((_let_98 (_let_30 _let_27))) (let ((_let_99 (ASSUME :args (_let_30)))) (let ((_let_100 (REFL :args (tptp.r2)))) (let ((_let_101 (ASSUME :args (_let_2)))) (let ((_let_102 (and _let_2 _let_20 _let_32))) (let ((_let_103 (ASSUME :args (_let_32)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_102)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_101 _let_103 _let_90) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_91 (SYMM _let_103)) _let_100 :args _let_86) (FALSE_INTRO _let_101))) :args (_let_2 _let_32 _let_20))) :args (_let_2 _let_20 _let_32))) :args (true _let_102)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) _let_81 (REFL :args ((not _let_32))) (REFL :args ((not _let_35))) :args _let_79)) _let_101 (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_1 _let_35 _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.r2 tptp.m1 tptp.r1 QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_70))) _let_71 :args (_let_37 false _let_7)) _let_101 (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_1 _let_32 _let_33 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.r1 tptp.m2 tptp.r2 QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_70)) _let_71 :args (_let_34 false _let_7)) _let_101 (RESOLUTION (CNF_AND_NEG :args (_let_97)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_95) (SCOPE (TRUE_ELIM (TRANS (CONG _let_100 _let_96 :args _let_63) (TRUE_INTRO _let_99))) :args _let_98)) :args _let_98)) :args (true _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.r2 tptp.m2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_52)) _let_53 :args (_let_30 false _let_8)) (RESOLUTION (CNF_AND_NEG :args (_let_92)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_94 _let_95) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (tptp.r1)) (SYMM _let_96) :args _let_63) (TRUE_INTRO _let_94))) :args _let_93)) :args _let_93)) :args (true _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.r1 tptp.m1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_52)) _let_53 :args (_let_28 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_83)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_85 _let_87 (MODUS_PONENS _let_90 (SCOPE (CONG _let_91 :args (APPLY_UF tptp.singleton_set)) :args _let_89))) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM _let_88) (SYMM _let_87)) _let_76 :args _let_86) (FALSE_INTRO _let_85))) :args (_let_82 _let_42 _let_84))) :args (_let_42 _let_82 _let_20))) :args (true _let_83)) (CONG (REFL :args (_let_77)) (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_27))) _let_81 _let_80 :args _let_79)) :args ((or _let_27 _let_78 _let_77 _let_38))) (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_16 _let_27 _let_47 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_12 _let_14 _let_26 QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_70))) _let_71 :args (_let_48 false _let_7)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_74)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_75 _let_67 _let_60 _let_64) (SCOPE (TRUE_ELIM (TRANS (CONG _let_76 (TRANS (SYMM _let_65) (SYMM _let_66) (SYMM _let_68)) :args _let_63) (TRUE_INTRO _let_75))) :args (_let_73 _let_50 _let_5 _let_51))) :args (_let_5 _let_51 _let_50 _let_73))) :args (true _let_74)) _let_60 _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_12 _let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_52)) _let_53 :args (_let_73 false _let_8)) :args (_let_46 false _let_5 false _let_51 false _let_50 false _let_73)) (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_42 _let_43 _let_27 (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_26 _let_39 _let_12 QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_70)) _let_71 :args (_let_44 false _let_7)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_61)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_62 _let_64 _let_60 _let_67) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_26)) _let_69 :args _let_63) (TRUE_INTRO _let_62))) :args (_let_49 _let_51 _let_5 _let_50))) :args (_let_5 _let_51 _let_50 _let_49))) :args (true _let_61)) _let_60 _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_26 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_52)) _let_53 :args (_let_49 false _let_8)) :args (_let_41 false _let_5 false _let_51 false _let_50 false _let_49)) :args ((or _let_27 _let_38) false _let_16 false _let_48 false _let_46 false _let_42 false _let_44 false _let_41)) :args (_let_38 true _let_1 false _let_35 false _let_37 true _let_1 false _let_32 false _let_34 true _let_1 false _let_31 false _let_30 false _let_29 false _let_28 false _let_27)))) (let ((_let_105 (tptp.member _let_14 _let_40))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_84 _let_16))) (let ((_let_108 (tptp.member tptp.m1 _let_39))) (let ((_let_109 (tptp.member tptp.m1 _let_14))) (let ((_let_110 (not _let_84))) (let ((_let_111 (not _let_108))) (let ((_let_112 (or _let_111 _let_20))) (let ((_let_113 (_let_11))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (tptp.member _let_14 _let_45))) (let ((_let_116 (and _let_5 _let_51 _let_50 _let_115))) (let ((_let_117 (ASSUME :args (_let_115)))) (let ((_let_118 (ASSUME :args (_let_21)))) (let ((_let_119 (ASSUME :args (_let_16)))) (let ((_let_120 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_118 _let_119 _let_120) :args (_let_13 _let_16 _let_21)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_120)) (CONG (REFL :args (tptp.m2)) (SYMM _let_119) :args _let_63) (FALSE_INTRO _let_118))) :args (_let_21 _let_16 _let_13)) :args ((not (and _let_13 _let_16 _let_21)) SB_LITERAL))) (CONG (REFL :args ((not _let_13))) _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_15))) :args _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_106 _let_84 _let_16 (not _let_107)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_116)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_117 _let_64 _let_60 _let_67) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_14)) _let_69 :args _let_63) (TRUE_INTRO _let_117))) :args (_let_115 _let_51 _let_5 _let_50))) :args (_let_5 _let_51 _let_50 _let_115))) :args (true _let_116)) _let_60 _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_14 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_17)) _let_18 :args (_let_115 false _let_9)) :args (_let_105 false _let_5 false _let_51 false _let_50 false _let_115)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_111)))) (CONG (REFL :args (tptp.m1)) _let_88 :args _let_63) (TRUE_INTRO (ASSUME :args (_let_109))))) :args (_let_109 _let_84 _let_111))) (CONG (REFL :args ((not _let_109))) (REFL :args (_let_110)) (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_108))) :args _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.m1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.singleton_set X)))) :args _let_113)) _let_114 :args (_let_109 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_111 _let_20 (not _let_112)))) _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.m1 tptp.m2 QUANTIFIERS_INST_E_MATCHING _let_25)) :args _let_23)) _let_24 :args (_let_112 false _let_10)) :args (_let_111 true _let_20 false _let_112)) :args (_let_110 false _let_109 true _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_14 _let_39 _let_12 QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_70)) _let_71 :args (_let_107 false _let_7)) :args (_let_16 false _let_105 true _let_84 false _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_20 _let_21 (not _let_22)))) _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.m2 tptp.m1 QUANTIFIERS_INST_E_MATCHING _let_25)) :args _let_23))) _let_24 :args (_let_22 false _let_10)) :args (_let_21 true _let_20 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.m2 tptp.r2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_17)) _let_18 :args (_let_13 false _let_9)) :args (false false _let_16 true _let_15 false _let_13)) :args (_let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SET018-1
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------