%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM401+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 10:43:41 EDT 2023

% Result   : Theorem 11.29s 11.55s
% Output   : Proof 11.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM401+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n027.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 15:55:04 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 11.29/11.55  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gCptHht0O5/cvc5---1.0.5_24668.p...
% 11.29/11.55  ------- get file name : TPTP file name is NUM401+1
% 11.29/11.55  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24668.smt2...
% 11.29/11.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.29/11.55  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.29/11.55  % SZS status Theorem for NUM401+1
% 11.29/11.55  % SZS output start Proof for NUM401+1
% 11.29/11.55  (
% 11.29/11.55  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (tptp.ordinal A) (forall ((B $$unsorted)) (=> (tptp.ordinal B) (= (tptp.in A (tptp.succ B)) (tptp.ordinal_subset A B))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.ordinal A) (forall ((B $$unsorted)) (=> (tptp.ordinal B) (not (and (not (tptp.in A B)) (not (= A B)) (not (tptp.in B A)))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.ordinal A) (tptp.ordinal B)) (= (tptp.ordinal_subset A B) (tptp.subset A B)))))) (let ((_let_5 (tptp.relation tptp.empty_set))) (let ((_let_6 (tptp.empty tptp.empty_set))) (let ((_let_7 (tptp.relation_empty_yielding tptp.empty_set))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_union2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (tptp.in D A) (tptp.in D B)))))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.epsilon_transitive A) (forall ((B $$unsorted)) (=> (tptp.in B A) (tptp.subset B A))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.succ A) (tptp.set_union2 A (tptp.singleton A)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (tptp.ordinal A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_15 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_16 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_17 (and _let_16 _let_15))) (let ((_let_18 (= _let_14 _let_17))) (let ((_let_19 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_20 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_19))) (let ((_let_21 (= _let_14 _let_20))) (let ((_let_22 (not _let_14))) (let ((_let_23 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (_let_23))) (let ((_let_27 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args _let_27) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_24)))) _let_25 :args (_let_23 false _let_24)) :args (_let_21 false _let_23)))) (let ((_let_29 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_30 (or _let_29 _let_20))) (let ((_let_31 (not _let_20))) (let ((_let_32 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_19))) (let ((_let_33 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_32))) (let ((_let_34 (= _let_33 _let_30))) (let ((_let_35 (not _let_30))) (let ((_let_36 (forall ((D $$unsorted)) (let ((_let_1 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (= (tptp.in D (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_1)) (or (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) (tptp.in D _let_1))))))) (let ((_let_37 (_let_8))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (_let_36))) (let ((_let_40 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_ENUM))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args _let_40) :args _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_19 _let_32 QUANTIFIERS_INST_CBQI_PROP)) :args _let_37))) _let_38 :args (_let_36 false _let_8)) :args (_let_34 false _let_36)))) (let ((_let_42 (tptp.succ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_43 (= _let_42 _let_32))) (let ((_let_44 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_42))) (let ((_let_45 (not _let_33))) (let ((_let_46 (_let_11))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_ENUM))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_48) :args _let_46)) _let_47 :args (_let_43 false _let_11)))) (let ((_let_50 (tptp.ordinal_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_51 (= _let_44 _let_50))) (let ((_let_52 (= _let_50 _let_16))) (let ((_let_53 (not _let_29))) (let ((_let_54 (or _let_53 _let_16))) (let ((_let_55 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_56 (not _let_44))) (let ((_let_57 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_58 _let_51))) (let ((_let_62 (forall ((A $$unsorted) (BOUND_VARIABLE_1291 $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.ordinal BOUND_VARIABLE_1291)) (= (tptp.in A (tptp.succ BOUND_VARIABLE_1291)) (tptp.ordinal_subset A BOUND_VARIABLE_1291)))))) (let ((_let_63 (not _let_61))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (or))) (let ((_let_66 (not _let_62))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_64) :args (_let_66))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_62))) (REFL :args (_let_63)) :args _let_65)) _let_64 :args (_let_63 true _let_62)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_61 2)) _let_67 :args ((not _let_51) true _let_61)))) (let ((_let_69 (_let_51))) (let ((_let_70 (or _let_60 _let_58 _let_52))) (let ((_let_71 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.ordinal B)) (= (tptp.ordinal_subset A B) (tptp.subset A B)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_ENUM))) (let ((_let_74 (REFL :args (_let_61)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 1)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_65)) :args ((or _let_57 _let_61))) _let_67 :args (_let_57 true _let_61)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 0)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_65)) :args ((or _let_59 _let_61))) _let_67 :args (_let_59 true _let_61)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_60 _let_58 _let_52 (not _let_70)))) _let_76 _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args _let_73) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_52 false _let_59 false _let_57 false _let_70)))) (let ((_let_78 (not _let_52))) (let ((_let_79 (not _let_16))) (let ((_let_80 (_let_52))) (let ((_let_81 (forall ((B $$unsorted)) (or (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) (tptp.subset B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))))) (let ((_let_82 (tptp.epsilon_transitive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_83 (= _let_82 _let_81))) (let ((_let_84 (forall ((A $$unsorted)) (= (tptp.epsilon_transitive A) (forall ((B $$unsorted)) (or (not (tptp.in B A)) (tptp.subset B A))))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_84))) (let ((_let_87 (and _let_82 (tptp.epsilon_connected SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))) (let ((_let_88 (or _let_58 _let_87))) (let ((_let_89 (forall ((A $$unsorted)) (or (not (tptp.ordinal A)) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_89))) (let ((_let_92 (_let_81))) (let ((_let_93 (forall ((A $$unsorted)) (tptp.subset A A)))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))) (let ((_let_96 (not _let_21))) (let ((_let_97 (_let_21))) (let ((_let_98 (not _let_34))) (let ((_let_99 (_let_34))) (let ((_let_100 (and _let_44 _let_43))) (let ((_let_101 (_let_44 _let_43))) (let ((_let_102 (ASSUME :args (_let_44)))) (let ((_let_103 (ASSUME :args (_let_43)))) (let ((_let_104 (CONG _let_95 (SYMM _let_103) :args (APPLY_UF tptp.in)))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_100)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_102 _let_103) (SCOPE (TRUE_ELIM (TRANS _let_104 (TRUE_INTRO _let_102))) :args _let_101)) :args _let_101)) :args (true _let_100)) _let_49 (REORDERING (CNF_EQUIV_POS1 :args _let_99) :args ((or _let_30 _let_45 _let_98))) _let_41 (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_20 _let_35))) (REORDERING (CNF_EQUIV_POS2 :args _let_97) :args ((or _let_14 _let_31 _let_96))) _let_28 (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_79)))) (CONG _let_95 (SYMM (ASSUME :args (_let_14))) :args (APPLY_UF tptp.subset)) (TRUE_INTRO (ASSUME :args (_let_55))))) :args (_let_55 _let_14 _let_79))) (CONG (REFL :args ((not _let_55))) (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_16))) :args _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args _let_40) :args (_let_93))) _let_94 :args (_let_55 false _let_93)) (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_16 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_92) :args _let_27) :args _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_83)) :args ((or (not _let_82) _let_81 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_87 0)) :args ((or _let_82 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_58 _let_87 (not _let_88)))) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args _let_48) :args _let_91)) _let_90 :args (_let_88 false _let_89)) :args (_let_87 false _let_57 false _let_88)) :args (_let_82 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args _let_48) :args _let_86)) _let_85 :args (_let_83 false _let_84)) :args (_let_81 false _let_82 false _let_83)) :args (_let_54 false _let_81)) (REORDERING (CNF_EQUIV_POS2 :args _let_80) :args ((or _let_50 _let_79 _let_78))) _let_77 (CNF_EQUIV_NEG2 :args _let_69) _let_68 :args (_let_56 false _let_43 true _let_33 false _let_34 true _let_30 true _let_20 false _let_21 true _let_14 false _let_55 true _let_29 false _let_54 true _let_16 false _let_52 true _let_50 true _let_51)))) (let ((_let_106 (and _let_56 _let_43))) (let ((_let_107 (_let_56 _let_43))) (let ((_let_108 (ASSUME :args (_let_56)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_99) :args ((or _let_33 _let_35 _let_98))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_106)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_108 _let_103) (SCOPE (FALSE_ELIM (TRANS _let_104 (FALSE_INTRO _let_108))) :args _let_107)) :args _let_107)) :args (true _let_106)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_44))) (REFL :args ((not _let_43))) (REFL :args (_let_45)) :args _let_65)) _let_105 _let_49 :args (_let_45 true _let_44 false _let_43)) _let_41 :args (_let_35 true _let_33 false _let_34)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_97) :args ((or _let_22 _let_20 _let_96))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 1)) _let_109 :args (_let_31 true _let_30)) _let_28 :args (_let_22 true _let_20 false _let_21)))) (let ((_let_111 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_15))) (let ((_let_114 (forall ((B $$unsorted)) (or (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) (tptp.subset B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))))) (let ((_let_115 (tptp.epsilon_transitive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_116 (= _let_115 _let_114))) (let ((_let_117 (and _let_115 (tptp.epsilon_connected SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))) (let ((_let_118 (or _let_60 _let_117))) (let ((_let_119 (_let_114))) (let ((_let_120 (or _let_60 _let_58 _let_29 _let_14 _let_111))) (let ((_let_121 (forall ((A $$unsorted) (BOUND_VARIABLE_1265 $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.ordinal BOUND_VARIABLE_1265)) (tptp.in A BOUND_VARIABLE_1265) (= A BOUND_VARIABLE_1265) (tptp.in BOUND_VARIABLE_1265 A))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (_let_12))) (let ((_let_124 (ASSUME :args _let_123))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_18)) :args ((or _let_14 (not _let_17) (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_123)) _let_124 :args (_let_18 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_17)) :args ((or _let_79 (not _let_15) _let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_80) :args ((or (not _let_50) _let_16 _let_78))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_69) :args ((or _let_44 _let_50 _let_51))) _let_105 _let_68 :args (_let_50 true _let_44 true _let_51)) _let_77 :args (_let_16 false _let_50 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_112 _let_15 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_60 _let_58 _let_29 _let_14 _let_111 (not _let_120)))) _let_76 _let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_30 0)) :args ((or _let_53 _let_30))) _let_109 :args (_let_53 true _let_30)) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args _let_73) :args (_let_121))) _let_122 :args (_let_120 false _let_121)) :args (_let_111 false _let_59 false _let_57 true _let_29 true _let_14 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_119) :args _let_48) :args _let_119)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_116)) :args ((or (not _let_115) _let_114 (not _let_116)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_117 0)) :args ((or _let_115 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_60 _let_117 (not _let_118)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args _let_40) :args _let_91)) _let_90 :args (_let_118 false _let_89)) :args (_let_117 false _let_59 false _let_118)) :args (_let_115 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args _let_40) :args _let_86)) _let_85 :args (_let_116 false _let_84)) :args (_let_114 false _let_115 false _let_116)) :args (_let_113 false _let_114)) :args (_let_15 false _let_111 false _let_113)) :args (_let_17 false _let_16 false _let_15)) _let_110 :args (false false _let_18 false _let_17 true _let_14)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) _let_13 (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) (forall ((A $$unsorted)) (=> (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)) (tptp.ordinal A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.ordinal A) (tptp.ordinal B)) (or (tptp.ordinal_subset A B) (tptp.ordinal_subset B A)))) _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_6 _let_5 _let_7) (forall ((A $$unsorted)) (not (tptp.empty (tptp.succ A)))) _let_6 (and _let_5 _let_7 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) _let_6 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.set_union2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.succ A))) (=> (tptp.ordinal A) (and (not (tptp.empty _let_1)) (tptp.epsilon_transitive _let_1) (tptp.epsilon_connected _let_1) (tptp.ordinal _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (and _let_6 _let_5) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A) (tptp.empty A) (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_non_empty A) (tptp.function A))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.ordinal A) (tptp.ordinal B)) (tptp.ordinal_subset A A))) _let_3 (forall ((A $$unsorted)) (tptp.in A (tptp.succ A))) (forall ((A $$unsorted)) (not (= A (tptp.succ A)))) (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.29/11.55  )
% 11.29/11.55  % SZS output end Proof for NUM401+1
% 11.29/11.55  % cvc5---1.0.5 exiting
% 11.29/11.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------