TSTP Solution File: NUM536+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM536+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 10:44:52 EDT 2023
% Result : Theorem 0.20s 0.77s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM536+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n018.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Fri Aug 25 10:41:28 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.77 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.YB43TIoHmJ/cvc5---1.0.5_18997.p...
% 0.20/0.77 ------- get file name : TPTP file name is NUM536+2
% 0.20/0.77 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18997.smt2...
% 0.20/0.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.77 % SZS status Theorem for NUM536+2
% 0.20/0.77 % SZS output start Proof for NUM536+2
% 0.20/0.77 (
% 0.20/0.77 (let ((_let_1 (tptp.sdtpldt0 tptp.xS tptp.xx))) (let ((_let_2 (tptp.sdtmndt0 _let_1 tptp.xx))) (let ((_let_3 (tptp.aSet0 _let_2))) (let ((_let_4 (not (=> (and (tptp.aSet0 _let_1) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xS tptp.xx)) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xS) (= W0 tptp.xx)))))) (=> (and _let_3 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 tptp.xS tptp.xx))) (= (tptp.aElementOf0 W0 (tptp.sdtmndt0 _let_1 tptp.xx)) (and (tptp.aElement0 W0) (tptp.aElementOf0 W0 _let_1) (not (= W0 tptp.xx))))))) (= _let_2 tptp.xS)))))) (let ((_let_5 (tptp.aElementOf0 tptp.xx tptp.xS))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.aSet0 tptp.xS))) (let ((_let_8 (tptp.aElement0 tptp.xx))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (=> (and (tptp.aSubsetOf0 W0 W1) (tptp.aSubsetOf0 W1 W0)) (= W0 W1)))))) (let ((_let_11 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (= (tptp.aSubsetOf0 W1 W0) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))))))))) (let ((_let_12 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))))) (let ((_let_13 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 _let_1))) (let ((_let_14 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 _let_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13))) (let ((_let_17 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 tptp.xS))) (let ((_let_18 (not _let_16))) (let ((_let_19 (or _let_15 _let_17))) (let ((_let_20 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 (tptp.sdtmndt0 (tptp.sdtpldt0 tptp.xS tptp.xx) tptp.xx))) (tptp.aElementOf0 W2 tptp.xS))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (and _let_3 _let_20))) (let ((_let_23 (not _let_20))) (let ((_let_24 (tptp.aSubsetOf0 _let_2 tptp.xS))) (let ((_let_25 (= _let_24 _let_22))) (let ((_let_26 (not _let_22))) (let ((_let_27 (not _let_7))) (let ((_let_28 (or _let_27 _let_25))) (let ((_let_29 (forall ((W0 $$unsorted) (BOUND_VARIABLE_895 $$unsorted)) (or (not (tptp.aSet0 W0)) (= (tptp.aSubsetOf0 BOUND_VARIABLE_895 W0) (and (tptp.aSet0 BOUND_VARIABLE_895) (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 BOUND_VARIABLE_895)) (tptp.aElementOf0 W2 W0))))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (_let_29))) (let ((_let_32 (1))) (let ((_let_33 (ASSUME :args (_let_9)))) (let ((_let_34 (AND_ELIM _let_33 :args _let_32))) (let ((_let_35 (= tptp.xS _let_2))) (let ((_let_36 (not _let_24))) (let ((_let_37 (tptp.aSubsetOf0 tptp.xS _let_2))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not _let_3))) (let ((_let_40 (or _let_27 _let_39 _let_38 _let_36 _let_35))) (let ((_let_41 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (not (tptp.aSubsetOf0 W0 W1)) (not (tptp.aSubsetOf0 W1 W0)) (= W0 W1))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 tptp.xS)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 (tptp.sdtpldt0 tptp.xS tptp.xx) tptp.xx)))))) (let ((_let_44 (and _let_7 _let_43))) (let ((_let_45 (= _let_37 _let_44))) (let ((_let_46 (or _let_39 _let_45))) (let ((_let_47 (0))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (NOT_IMPLIES_ELIM2 _let_48))) (let ((_let_50 (NOT_IMPLIES_ELIM1 _let_49))) (let ((_let_51 (AND_ELIM _let_50 :args _let_47))) (let ((_let_52 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 _let_2))) (let ((_let_53 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 tptp.xS))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52))) (let ((_let_56 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_57 (or _let_27 _let_54 _let_56))) (let ((_let_58 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 _let_1))) (let ((_let_59 (or _let_54 _let_58))) (let ((_let_60 (= tptp.xx SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_61 (not _let_60))) (let ((_let_62 (and _let_56 _let_58 _let_61))) (let ((_let_63 (= _let_52 _let_62))) (let ((_let_64 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.xS))) (let ((_let_65 (= tptp.xx SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_66 (or))) (let ((_let_67 (forall ((W0 $$unsorted) (BOUND_VARIABLE_830 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElementOf0 BOUND_VARIABLE_830 W0)) (tptp.aElement0 BOUND_VARIABLE_830))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (_let_67))) (let ((_let_70 ((not (= (tptp.aElementOf0 BOUND_VARIABLE_830 W0) false))))) (let ((_let_71 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 tptp.xS)) (tptp.aElementOf0 W2 (tptp.sdtpldt0 tptp.xS tptp.xx)))))) (let ((_let_72 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_1))) (let ((_let_73 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 tptp.xS))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72))) (let ((_let_76 (or _let_73 (= tptp.xx SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_77 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_78 (or _let_27 _let_74 _let_77))) (let ((_let_79 (and _let_77 _let_76))) (let ((_let_80 (= _let_72 _let_79))) (let ((_let_81 (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xS tptp.xx)) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xS) (= tptp.xx W0))))))) (let ((_let_82 (AND_ELIM (NOT_IMPLIES_ELIM1 _let_48) :args _let_32))) (let ((_let_83 (_let_81))) (let ((_let_84 ((tptp.aElementOf0 W0 _let_1)))) (let ((_let_85 (ASSUME :args _let_83))) (let ((_let_86 (not _let_71))) (let ((_let_87 (_let_86))) (let ((_let_88 (_let_71))) (let ((_let_89 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 tptp.xS tptp.xx))) (= (tptp.aElementOf0 W0 (tptp.sdtmndt0 _let_1 tptp.xx)) (and (tptp.aElement0 W0) (tptp.aElementOf0 W0 _let_1) (not (= tptp.xx W0)))))))) (let ((_let_90 (AND_ELIM _let_50 :args _let_32))) (let ((_let_91 (_let_89))) (let ((_let_92 ((tptp.aElementOf0 W0 _let_2)))) (let ((_let_93 (ASSUME :args _let_91))) (let ((_let_94 (not _let_58))) (let ((_let_95 (not _let_56))) (let ((_let_96 (_let_62))) (let ((_let_97 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_1))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_64))) (let ((_let_100 (not _let_64))) (let ((_let_101 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 (tptp.sdtpldt0 tptp.xS tptp.xx))) (tptp.aElementOf0 W2 tptp.xS))))) (let ((_let_102 (not _let_99))) (let ((_let_103 (tptp.aElementOf0 tptp.xx _let_1))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_104 _let_5))) (let ((_let_106 (not _let_101))) (let ((_let_107 (not _let_105))) (let ((_let_108 (= _let_8 _let_103))) (let ((_let_109 (_let_101))) (let ((_let_110 (_let_106))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_110)) :args _let_110)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_101))) (REFL :args (_let_102)) :args _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_109) :args (tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElementOf0 W2 _let_1) false))))) :args _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_5 _let_104 _let_107))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_108)) :args ((or (not _let_8) _let_103 (not _let_108)))) (AND_ELIM _let_33 :args _let_47) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aElement0 W0)))) :args _let_83))) _let_82 :args (_let_108 false _let_81)) :args (_let_103 false _let_8 false _let_108)) :args (_let_107 true _let_5 false _let_103)) :args (_let_106 true _let_105)) :args (_let_102 true _let_101)))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_99 1)) _let_111 :args (_let_100 true _let_99)))) (let ((_let_113 (or _let_64 _let_65))) (let ((_let_114 (and (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_113))) (let ((_let_115 (= _let_97 _let_114))) (let ((_let_116 (ASSUME :args (_let_100)))) (let ((_let_117 (ASSUME :args (_let_65)))) (let ((_let_118 (ASSUME :args (_let_60)))) (let ((_let_119 (ASSUME :args (_let_53)))) (let ((_let_120 (not _let_43))) (let ((_let_121 (_let_120))) (let ((_let_122 (_let_23))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_122)) :args _let_122)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_20))) (REFL :args (_let_21)) :args _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_22)) :args ((or _let_39 _let_22 _let_23))) _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_25)) :args ((or _let_24 _let_26 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_35 _let_27 _let_39 _let_36 _let_38 (not _let_40)))) (NOT_IMPLIES_ELIM2 _let_49) _let_34 _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_45)) :args ((or _let_37 (not _let_44) (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_44)) :args ((or _let_27 _let_44 _let_120))) _let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_121)) :args _let_121)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_120) _let_43))) (REFL :args ((not _let_55))) :args _let_66)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_116 _let_117 _let_118 _let_119) :args (_let_100 _let_65 _let_53 _let_60)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_119)) (CONG (TRANS (SYMM _let_118) (SYMM (SYMM _let_117))) (REFL :args (tptp.xS)) :args (APPLY_UF tptp.aElementOf0)) (FALSE_INTRO _let_116))) :args (_let_100 _let_65 _let_60 _let_53)) :args ((not (and _let_100 _let_65 _let_53 _let_60)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_100) _let_64))) (REFL :args ((not _let_65))) (REFL :args (_let_54)) (REFL :args (_let_61)) :args _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_64 _let_65 (not _let_113)))) _let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_114 1)) :args ((or _let_113 (not _let_114)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_115)) :args ((or _let_98 _let_114 (not _let_115)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 0)) (CONG (REFL :args (_let_99)) (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_97))) :args _let_66)) :args ((or _let_97 _let_99))) _let_111 :args (_let_97 true _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_115 false _let_81)) :args (_let_114 false _let_97 false _let_115)) :args (_let_113 false _let_114)) :args (_let_65 true _let_64 false _let_113)) _let_112 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_96) (CONG (REFL :args _let_96) (REFL :args (_let_95)) (REFL :args (_let_94)) (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_66)) :args ((or _let_60 _let_62 _let_95 _let_94))) (REORDERING (CNF_EQUIV_POS2 :args (_let_63)) :args ((or _let_52 (not _let_62) (not _let_63)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_91)) _let_90 :args (_let_63 false _let_89)) (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_54 _let_58 (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_88) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElementOf0 W2 tptp.xS) false))))) :args _let_88)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_87)) :args _let_87)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_71))) (REFL :args ((not _let_75))) :args _let_66)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_79)) (REORDERING (CNF_EQUIV_POS2 :args (_let_80)) :args ((or _let_72 (not _let_79) (not _let_80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_80 false _let_81)) (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_27 _let_74 _let_77 (not _let_78)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.xS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_78 false _let_67)) _let_34 (REORDERING (CNF_OR_NEG :args (_let_76 0)) :args ((or _let_74 _let_76))) (CNF_OR_NEG :args (_let_75 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 0)) (CONG (REFL :args (_let_75)) (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_73))) :args _let_66)) :args ((or _let_73 _let_75))) :args (_let_75 true _let_79 false _let_80 false _let_77 false _let_78 false _let_7 false _let_76 true _let_72 false _let_73)) :args (_let_71 false _let_75)) :args (_let_59 false _let_71)) (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_27 _let_54 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.xS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_57 false _let_67)) _let_34 (CNF_OR_NEG :args (_let_55 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG (REFL :args (_let_55)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_66)) :args ((or _let_53 _let_55))) :args (_let_55 false _let_65 true _let_64 false _let_60 true _let_62 false _let_63 false _let_58 false _let_59 false _let_56 false _let_57 false _let_7 true _let_52 false _let_53)) :args (_let_43 false _let_55)) :args (_let_44 false _let_7 false _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_39 _let_45 (not _let_46)))) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_2 tptp.xS QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.aSet0 W0) false)) (tptp.aSet0 BOUND_VARIABLE_895)))) :args _let_31)) _let_30 :args (_let_46 false _let_29)) :args (_let_45 false _let_3 false _let_46)) :args (_let_37 false _let_44 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.xS _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aSubsetOf0 W0 W1) false))))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_36 true _let_35 false _let_7 false _let_3 false _let_37 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_25 (not _let_28)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.xS _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aSubsetOf0 BOUND_VARIABLE_895 W0)))) :args _let_31)) _let_30 :args (_let_28 false _let_29)) :args (_let_25 false _let_7 false _let_28)) :args (_let_26 true _let_24 false _let_25)) :args (_let_23 false _let_3 true _let_22)) :args (_let_21 true _let_20)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_66)) :args ((or _let_14 _let_19))) _let_123 :args (_let_14 true _let_19)))) (let ((_let_125 (= tptp.xx SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_126 (not _let_125))) (let ((_let_127 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_128 (and _let_127 _let_13 _let_126))) (let ((_let_129 (= _let_14 _let_128))) (let ((_let_130 (or _let_17 _let_125))) (let ((_let_131 (and _let_127 _let_130))) (let ((_let_132 (= _let_13 _let_131))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_91)) _let_90 :args (_let_129 false _let_89)))) (let ((_let_134 (REORDERING (CNF_EQUIV_POS1 :args (_let_129)) :args ((or _let_15 _let_128 (not _let_129)))))) (let ((_let_135 (not _let_128))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_128 1)) :args ((or _let_13 _let_135))) (MACRO_RESOLUTION_TRUST _let_134 _let_124 _let_133 :args (_let_128 false _let_14 false _let_129)) :args (_let_13 false _let_128)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_131 1)) :args ((or _let_130 (not _let_131)))) (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_17 _let_125 (not _let_130)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_132)) :args ((or _let_131 (not _let_13) (not _let_132)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aElementOf0 W0 tptp.xS)))) :args _let_83)) _let_82 :args (_let_132 false _let_81)) (REORDERING (CNF_AND_POS :args (_let_128 2)) :args ((or _let_126 _let_135))) (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_13 _let_18))) _let_134 _let_133 :args ((or _let_15 _let_17 _let_18) true _let_130 false _let_131 false _let_132 true _let_125 false _let_13 false _let_128 false _let_129)) _let_124 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 1)) _let_123 :args ((not _let_17) true _let_19)) :args (_let_18 false _let_14 true _let_17)) :args (false false _let_13 true _let_16)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) _let_12 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (=> (tptp.isFinite0 W0) true))) (forall ((W0 $$unsorted)) (= (= W0 tptp.slcrc0) (and (tptp.aSet0 W0) (not (exists ((W1 $$unsorted)) (tptp.aElementOf0 W1 W0)))))) (tptp.isFinite0 tptp.slcrc0) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (=> (tptp.isCountable0 W0) true))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (not (tptp.isFinite0 W0)))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (not (= W0 tptp.slcrc0)))) _let_11 (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isFinite0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (tptp.isFinite0 W1))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (tptp.aSubsetOf0 W0 W0))) _let_10 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1) (tptp.aSet0 W2)) (=> (and (tptp.aSubsetOf0 W0 W1) (tptp.aSubsetOf0 W1 W2)) (tptp.aSubsetOf0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElement0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElement0 W3) (or (tptp.aElementOf0 W3 W0) (= W3 W1)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElement0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElement0 W3) (tptp.aElementOf0 W3 W0) (not (= W3 W1)))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (= (tptp.sdtpldt0 (tptp.sdtmndt0 W0 W1) W1) W0))))) _let_9 _let_6 _let_4 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.77 )
% 0.20/0.77 % SZS output end Proof for NUM536+2
% 0.20/0.77 % cvc5---1.0.5 exiting
% 0.20/0.77 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------