%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 10:44:51 EDT 2023

% Result   : Theorem 0.21s 0.72s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri Aug 25 14:59:10 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.72  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.bExIL87V1L/cvc5---1.0.5_27035.p...
% 0.21/0.72  ------- get file name : TPTP file name is NUM534+2
% 0.21/0.72  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27035.smt2...
% 0.21/0.72  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.72  % SZS status Theorem for NUM534+2
% 0.21/0.72  % SZS output start Proof for NUM534+2
% 0.21/0.72  (
% 0.21/0.72  (let ((_let_1 (tptp.sdtmndt0 tptp.xS tptp.xx))) (let ((_let_2 (tptp.sdtpldt0 _let_1 tptp.xx))) (let ((_let_3 (tptp.aSet0 _let_2))) (let ((_let_4 (tptp.aSet0 _let_1))) (let ((_let_5 (not (=> (and _let_4 (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtmndt0 tptp.xS tptp.xx)) (and (tptp.aElement0 W0) (tptp.aElementOf0 W0 tptp.xS) (not (= W0 tptp.xx)))))) (=> (and _let_3 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtmndt0 tptp.xS tptp.xx))) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 _let_1 tptp.xx)) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 _let_1) (= W0 tptp.xx))))))) (= _let_2 tptp.xS)))))) (let ((_let_6 (tptp.aElementOf0 tptp.xx tptp.xS))) (let ((_let_7 (tptp.aSet0 tptp.xS))) (let ((_let_8 (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_9 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (= (tptp.aSubsetOf0 W1 W0) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))))))))) (let ((_let_10 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))))) (let ((_let_11 (= tptp.xx SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 tptp.xS))) (let ((_let_14 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_15 (and _let_14 _let_13 _let_12))) (let ((_let_16 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_1))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtmndt0 tptp.xS tptp.xx)) (and (tptp.aElement0 W0) (tptp.aElementOf0 W0 tptp.xS) (not (= tptp.xx W0))))))) (let ((_let_19 (1))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (NOT_IMPLIES_ELIM1 _let_20))) (let ((_let_22 (AND_ELIM _let_21 :args _let_19))) (let ((_let_23 (_let_18))) (let ((_let_24 ((tptp.aElementOf0 W0 tptp.xS)))) (let ((_let_25 (ASSUME :args _let_23))) (let ((_let_26 (not _let_15))) (let ((_let_27 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_2))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_13))) (let ((_let_30 (not _let_13))) (let ((_let_31 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 (tptp.sdtpldt0 (tptp.sdtmndt0 tptp.xS tptp.xx) tptp.xx))) (tptp.aElementOf0 W2 tptp.xS))))) (let ((_let_32 (not _let_29))) (let ((_let_33 (and _let_3 _let_31))) (let ((_let_34 (not _let_31))) (let ((_let_35 (tptp.aSubsetOf0 _let_2 tptp.xS))) (let ((_let_36 (= _let_35 _let_33))) (let ((_let_37 (not _let_33))) (let ((_let_38 (not _let_7))) (let ((_let_39 (or _let_38 _let_36))) (let ((_let_40 (forall ((W0 $$unsorted) (BOUND_VARIABLE_879 $$unsorted)) (or (not (tptp.aSet0 W0)) (= (tptp.aSubsetOf0 BOUND_VARIABLE_879 W0) (and (tptp.aSet0 BOUND_VARIABLE_879) (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 BOUND_VARIABLE_879)) (tptp.aElementOf0 W2 W0))))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 (ASSUME :args (_let_7)))) (let ((_let_44 (= tptp.xS _let_2))) (let ((_let_45 (not _let_35))) (let ((_let_46 (tptp.aSubsetOf0 tptp.xS _let_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (not _let_3))) (let ((_let_49 (or _let_38 _let_48 _let_47 _let_45 _let_44))) (let ((_let_50 (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_51 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 tptp.xS)) (tptp.aElementOf0 W2 (tptp.sdtpldt0 (tptp.sdtmndt0 tptp.xS tptp.xx) tptp.xx)))))) (let ((_let_53 (and _let_7 _let_52))) (let ((_let_54 (= _let_46 _let_53))) (let ((_let_55 (or _let_48 _let_54))) (let ((_let_56 (0))) (let ((_let_57 (NOT_IMPLIES_ELIM2 _let_20))) (let ((_let_58 (NOT_IMPLIES_ELIM1 _let_57))) (let ((_let_59 (AND_ELIM _let_58 :args _let_56))) (let ((_let_60 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 _let_2))) (let ((_let_61 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 tptp.xS))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_65 (or _let_38 _let_62 _let_64))) (let ((_let_66 (= tptp.xx SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_67 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 _let_1))) (let ((_let_68 (or _let_67 _let_66))) (let ((_let_69 (and _let_64 _let_68))) (let ((_let_70 (= _let_60 _let_69))) (let ((_let_71 (not _let_67))) (let ((_let_72 (or _let_71 _let_60))) (let ((_let_73 (not _let_66))) (let ((_let_74 (and _let_64 _let_61 _let_73))) (let ((_let_75 (= _let_67 _let_74))) (let ((_let_76 (or))) (let ((_let_77 (forall ((W0 $$unsorted) (BOUND_VARIABLE_814 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElementOf0 BOUND_VARIABLE_814 W0)) (tptp.aElement0 BOUND_VARIABLE_814))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((not (= (tptp.aElementOf0 BOUND_VARIABLE_814 W0) false))))) (let ((_let_81 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtmndt0 tptp.xS tptp.xx))) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 _let_1 tptp.xx)) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 _let_1) (= tptp.xx W0)))))))) (let ((_let_82 (AND_ELIM _let_58 :args _let_19))) (let ((_let_83 (_let_81))) (let ((_let_84 ((tptp.aElementOf0 W0 _let_2)))) (let ((_let_85 (ASSUME :args _let_83))) (let ((_let_86 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtmndt0 tptp.xS tptp.xx))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.aElementOf0 W2 (tptp.sdtpldt0 _let_1 tptp.xx))))))) (let ((_let_87 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 _let_2))) (let ((_let_88 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 _let_1))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87))) (let ((_let_91 (or _let_88 (= tptp.xx SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)))) (let ((_let_92 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_93 (not _let_4))) (let ((_let_94 (or _let_93 _let_89 _let_92))) (let ((_let_95 (and _let_92 _let_91))) (let ((_let_96 (= _let_87 _let_95))) (let ((_let_97 (not _let_86))) (let ((_let_98 (_let_97))) (let ((_let_99 (_let_86))) (let ((_let_100 (not _let_64))) (let ((_let_101 (_let_74))) (let ((_let_102 (not _let_52))) (let ((_let_103 (_let_102))) (let ((_let_104 (_let_34))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_104)) :args _let_104)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_31))) (REFL :args (_let_32)) :args _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_33)) :args ((or _let_48 _let_33 _let_34))) _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_36)) :args ((or _let_35 _let_37 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_44 _let_38 _let_48 _let_45 _let_47 (not _let_49)))) (NOT_IMPLIES_ELIM2 _let_57) _let_43 _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_54)) :args ((or _let_46 (not _let_53) (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_53)) :args ((or _let_38 _let_53 _let_102))) _let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_103)) :args _let_103)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_52))) (REFL :args ((not _let_63))) :args _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_101) (CONG (REFL :args _let_101) (REFL :args (_let_100)) (REFL :args (_let_62)) (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_66))) :args _let_76)) :args ((or _let_62 _let_66 _let_74 _let_100))) (REORDERING (CNF_OR_NEG :args (_let_68 1)) :args ((or _let_73 _let_68))) (REORDERING (CNF_EQUIV_POS2 :args (_let_75)) :args ((or _let_67 (not _let_74) (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_75 false _let_18)) (CNF_AND_NEG :args (_let_69)) (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_60 _let_71 (not _let_72)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_99) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElementOf0 W2 _let_2) true))))) :args _let_99)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_98)) :args _let_98)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_86))) (REFL :args ((not _let_90))) :args _let_76)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_95)) (REORDERING (CNF_EQUIV_POS2 :args (_let_96)) :args ((or _let_87 (not _let_95) (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_96 false _let_81)) (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_93 _let_89 _let_92 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_94 false _let_77)) (AND_ELIM _let_21 :args _let_56) (REORDERING (CNF_OR_NEG :args (_let_91 0)) :args ((or _let_89 _let_91))) (CNF_OR_NEG :args (_let_90 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_90 0)) (CONG (REFL :args (_let_90)) (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_88))) :args _let_76)) :args ((or _let_88 _let_90))) :args (_let_90 true _let_95 false _let_96 false _let_92 false _let_94 false _let_4 false _let_91 true _let_87 false _let_88)) :args (_let_86 false _let_90)) :args (_let_72 false _let_86)) (REORDERING (CNF_EQUIV_POS2 :args (_let_70)) :args ((or _let_60 (not _let_69) (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_70 false _let_81)) (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_38 _let_62 _let_64 (not _let_65)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.xS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_65 false _let_77)) _let_43 (CNF_OR_NEG :args (_let_63 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 0)) (CONG (REFL :args (_let_63)) (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_76)) :args ((or _let_61 _let_63))) :args (_let_63 true _let_66 true _let_74 false _let_75 true _let_68 true _let_67 false _let_72 true _let_69 false _let_70 false _let_64 false _let_65 false _let_7 true _let_60 false _let_61)) :args (_let_52 false _let_63)) :args (_let_53 false _let_7 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_48 _let_54 (not _let_55)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_2 tptp.xS QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.aSet0 W0) false)) (tptp.aSet0 BOUND_VARIABLE_879)))) :args _let_42)) _let_41 :args (_let_55 false _let_40)) :args (_let_54 false _let_3 false _let_55)) :args (_let_46 false _let_53 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.xS _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aSubsetOf0 W0 W1) false))))) :args (_let_50))) _let_51 :args (_let_49 false _let_50)) :args (_let_45 true _let_44 false _let_7 false _let_3 false _let_46 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_36 (not _let_39)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.xS _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aSubsetOf0 BOUND_VARIABLE_879 W0)))) :args _let_42)) _let_41 :args (_let_39 false _let_40)) :args (_let_36 false _let_7 false _let_39)) :args (_let_37 true _let_35 false _let_36)) :args (_let_34 false _let_3 true _let_33)) :args (_let_32 true _let_31)))) (let ((_let_106 (CNF_OR_NEG :args (_let_29 1)))) (let ((_let_107 (not _let_16))) (let ((_let_108 (or _let_107 _let_13))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_16 _let_11))) (let ((_let_111 (and _let_14 _let_110))) (let ((_let_112 (= _let_27 _let_111))) (let ((_let_113 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.xS))) (let ((_let_114 (= tptp.xx SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_115 (_let_108))) (let ((_let_116 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_1))) (let ((_let_117 (not _let_113))) (let ((_let_118 (or _let_117 _let_116))) (let ((_let_119 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 tptp.xS)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 tptp.xS tptp.xx)))))) (let ((_let_120 (not _let_118))) (let ((_let_121 (tptp.aElementOf0 tptp.xx _let_1))) (let ((_let_122 (not _let_6))) (let ((_let_123 (or _let_122 _let_121))) (let ((_let_124 (not _let_119))) (let ((_let_125 (not _let_123))) (let ((_let_126 (_let_119))) (let ((_let_127 (_let_124))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_127)) :args _let_127)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_124) _let_119))) (REFL :args (_let_120)) :args _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_126) :args (tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElementOf0 W2 tptp.xS) false))))) :args _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_122 _let_121 _let_125))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23))) _let_22 :args ((not _let_121) false _let_18)) :args (_let_125 false _let_6 true _let_121)) :args (_let_124 true _let_123)) :args (_let_120 true _let_119)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_118 0)) (CONG (REFL :args (_let_118)) (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_113))) :args _let_76)) :args ((or _let_113 _let_118))) _let_128 :args (_let_113 true _let_118)))) (let ((_let_130 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_131 (not _let_114))) (let ((_let_132 (and _let_130 _let_113 _let_131))) (let ((_let_133 (or _let_38 _let_117 _let_130))) (let ((_let_134 (= _let_116 _let_132))) (let ((_let_135 (not _let_132))) (let ((_let_136 (not _let_130))) (let ((_let_137 (REFL :args (_let_117)))) (let ((_let_138 (_let_132))) (let ((_let_139 (ASSUME :args (_let_113)))) (let ((_let_140 (ASSUME :args (_let_114)))) (let ((_let_141 (ASSUME :args (_let_11)))) (let ((_let_142 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_17)) :args ((or _let_15 _let_107 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_108 0)) (CONG (REFL :args _let_115) (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_16))) :args _let_76)) :args ((or _let_16 _let_108))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_139 _let_140 _let_141 _let_142) :args (_let_113 _let_114 _let_30 _let_11)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_142)) (CONG (TRANS (SYMM _let_141) (SYMM (SYMM _let_140))) (REFL :args (tptp.xS)) :args (APPLY_UF tptp.aElementOf0)) (TRUE_INTRO _let_139))) :args (_let_113 _let_114 _let_11 _let_30)) :args ((not (and _let_113 _let_114 _let_30 _let_11)) SB_LITERAL))) (CONG _let_137 (REFL :args (_let_131)) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_13))) (REFL :args (_let_12)) :args _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_138) (CONG (REFL :args _let_138) (REFL :args (_let_136)) _let_137 (MACRO_SR_PRED_INTRO :args ((= (not _let_131) _let_114))) :args _let_76)) :args ((or _let_117 _let_114 _let_132 _let_136))) _let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_134)) :args ((or _let_116 _let_135 (not _let_134)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_118 1)) _let_128 :args ((not _let_116) true _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aElementOf0 W0 _let_1)))) :args _let_23)) _let_22 :args (_let_134 false _let_18)) :args (_let_135 true _let_116 false _let_134)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_38 _let_117 _let_130 (not _let_133)))) _let_43 _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.xS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_133 false _let_77)) :args (_let_130 false _let_7 false _let_113 false _let_133)) :args (_let_114 false _let_113 true _let_132 false _let_130)) _let_129 (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_16 _let_11 (not _let_110)))) (REORDERING (CNF_AND_POS :args (_let_111 1)) :args ((or _let_110 (not _let_111)))) (REORDERING (CNF_OR_POS :args _let_115) :args ((or _let_13 _let_107 _let_109))) (REORDERING (CNF_EQUIV_POS1 :args (_let_112)) :args ((or _let_28 _let_111 (not _let_112)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_112 false _let_81)) _let_106 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG (REFL :args (_let_29)) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_76)) :args ((or _let_27 _let_29))) :args ((or _let_29 _let_109) false _let_114 false _let_113 false _let_11 false _let_110 true _let_16 false _let_111 false _let_112 true _let_13 false _let_27)) _let_105 :args (_let_109 true _let_29)) :args (_let_16 true _let_108)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 1)) :args ((or _let_13 _let_26))) (MACRO_RESOLUTION_TRUST _let_106 _let_105 :args (_let_30 true _let_29)) :args (_let_26 true _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_17 false _let_18)) :args (false false _let_16 true _let_15 false _let_17)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) _let_10 (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_9 (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isFinite0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (tptp.isFinite0 W1))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (tptp.aSubsetOf0 W0 W0))) _let_8 (forall ((W0 $$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)))))))))) _let_7 _let_6 _let_5 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.73  )
% 0.21/0.73  % SZS output end Proof for NUM534+2
% 0.21/0.73  % cvc5---1.0.5 exiting
% 0.21/0.73  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------