TSTP Solution File: SEU270+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU270+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 16:30:32 EDT 2023
% Result : Theorem 0.90s 1.07s
% Output : Proof 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU270+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n026.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 : Wed Aug 23 21:48:31 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.90/1.07 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.eUOW9qW9Kv/cvc5---1.0.5_24403.p...
% 0.90/1.07 ------- get file name : TPTP file name is SEU270+1
% 0.90/1.07 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24403.smt2...
% 0.90/1.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.90/1.07 % SZS status Theorem for SEU270+1
% 0.90/1.07 % SZS output start Proof for SEU270+1
% 0.90/1.07 (
% 0.90/1.07 (let ((_let_1 (not (forall ((A $$unsorted)) (=> (tptp.ordinal A) (tptp.connected (tptp.inclusion_relation A))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.ordinal B) (=> (tptp.in A B) (tptp.ordinal A)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.ordinal A) (tptp.ordinal B)) (= (tptp.ordinal_subset A B) (tptp.subset A B)))))) (let ((_let_4 (tptp.empty tptp.empty_set))) (let ((_let_5 (forall ((A $$unsorted)) (tptp.relation (tptp.inclusion_relation A))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (tptp.is_connected_in A B) (forall ((C $$unsorted) (D $$unsorted)) (not (and (tptp.in C B) (tptp.in D B) (not (= C D)) (not (tptp.in (tptp.ordered_pair C D) A)) (not (tptp.in (tptp.ordered_pair D C) A))))))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (= (= B (tptp.inclusion_relation A)) (and (= (tptp.relation_field B) A) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.in C A) (tptp.in D A)) (= (tptp.in (tptp.ordered_pair C D) B) (tptp.subset C D)))))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.connected A) (tptp.is_connected_in A (tptp.relation_field A))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.ordinal A) (tptp.ordinal B)) (or (tptp.ordinal_subset A B) (tptp.ordinal_subset B A)))))) (let ((_let_10 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_11 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_12 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_13 (tptp.inclusion_relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_14 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18) _let_13))) (let ((_let_15 (= _let_14 _let_12))) (let ((_let_16 (not _let_10))) (let ((_let_17 (not _let_11))) (let ((_let_18 (or _let_17 _let_16 _let_15))) (let ((_let_19 (tptp.relation_field _let_13))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_19))) (let ((_let_21 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_19))) (let ((_let_22 (forall ((C $$unsorted) (D $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (= (tptp.subset C D) (tptp.in (tptp.ordered_pair C D) (tptp.inclusion_relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))))))) (let ((_let_23 (and _let_20 _let_22))) (let ((_let_24 (tptp.relation _let_13))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (= (= B (tptp.inclusion_relation A)) (and (= A (tptp.relation_field B)) (forall ((C $$unsorted) (D $$unsorted)) (or (not (tptp.in C A)) (not (tptp.in D A)) (= (tptp.in (tptp.ordered_pair C D) B) (tptp.subset C D)))))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_5))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inclusion_relation A)))) :args _let_29)) _let_30 :args (_let_24 false _let_5)))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 (not _let_26)))) _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_13 QUANTIFIERS_INST_E_MATCHING ((tptp.relation_field B) (tptp.inclusion_relation A)))) :args (_let_27)))) _let_28 :args (_let_26 false _let_27)) :args (_let_23 false _let_24 false _let_26)))) (let ((_let_33 (not _let_23))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 0)) :args ((or _let_20 _let_33))) _let_32 :args (_let_20 false _let_23)))) (let ((_let_35 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19) _let_13))) (let ((_let_36 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 _let_19))) (let ((_let_37 (not _let_36))) (let ((_let_38 (not _let_21))) (let ((_let_39 (or _let_38 _let_37 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19) _let_35 _let_14))) (let ((_let_40 (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.inclusion_relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_2 (tptp.relation_field _let_1))) (or (not (tptp.in C _let_2)) (not (tptp.in D _let_2)) (= C D) (tptp.in (tptp.ordered_pair C D) _let_1) (tptp.in (tptp.ordered_pair D C) _let_1))))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (tptp.is_connected_in _let_13 _let_19))) (let ((_let_43 (= _let_42 _let_40))) (let ((_let_44 (not _let_40))) (let ((_let_45 (or _let_25 _let_43))) (let ((_let_46 (forall ((A $$unsorted) (BOUND_VARIABLE_1059 $$unsorted)) (or (not (tptp.relation A)) (= (tptp.is_connected_in A BOUND_VARIABLE_1059) (forall ((C $$unsorted) (D $$unsorted)) (or (not (tptp.in C BOUND_VARIABLE_1059)) (not (tptp.in D BOUND_VARIABLE_1059)) (= C D) (tptp.in (tptp.ordered_pair C D) A) (tptp.in (tptp.ordered_pair D C) A)))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (tptp.connected _let_13))) (let ((_let_49 (= _let_48 _let_42))) (let ((_let_50 (not _let_42))) (let ((_let_51 (or _let_25 _let_49))) (let ((_let_52 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.connected A) (tptp.is_connected_in A (tptp.relation_field A))))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_48))) (let ((_let_57 (forall ((A $$unsorted)) (or (not (tptp.ordinal A)) (tptp.connected (tptp.inclusion_relation A)))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (or))) (let ((_let_61 (not _let_57))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_59) :args (_let_61))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_57))) (REFL :args (_let_58)) :args _let_60)) _let_59 :args (_let_58 true _let_57)))) (let ((_let_63 (_let_44))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_63)) :args _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_43)) :args ((or _let_42 _let_44 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_49)) :args ((or _let_48 _let_50 (not _let_49)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_56 1)) _let_62 :args ((not _let_48) true _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_25 _let_49 (not _let_51)))) _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.connected A)))) :args (_let_52))) _let_53 :args (_let_51 false _let_52)) :args (_let_49 false _let_24 false _let_51)) :args (_let_50 true _let_48 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_25 _let_43 (not _let_45)))) _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_13 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.is_connected_in A BOUND_VARIABLE_1059)))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_43 false _let_24 false _let_45)) :args (_let_44 true _let_42 false _let_43)) :args (_let_41 true _let_40)))) (let ((_let_65 (REFL :args (_let_39)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_21))) :args _let_60)) :args ((or _let_21 _let_39))) _let_64 :args (_let_21 true _let_39)))) (let ((_let_67 (not _let_20))) (let ((_let_68 (and _let_21 _let_20))) (let ((_let_69 (_let_21 _let_20))) (let ((_let_70 (ASSUME :args (_let_21)))) (let ((_let_71 (APPLY_UF tptp.in))) (let ((_let_72 (ASSUME :args (_let_20)))) (let ((_let_73 (SYMM _let_72))) (let ((_let_74 (SYMM _let_73))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_70 _let_72) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) _let_74 :args _let_71) (TRUE_INTRO _let_70))) :args _let_69)) :args _let_69)) :args (true _let_68)) :args ((or _let_38 _let_10 _let_67))) _let_66 _let_34 :args (_let_10 false _let_21 false _let_20)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 1)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_60)) :args ((or _let_36 _let_39))) _let_64 :args (_let_36 true _let_39)))) (let ((_let_77 (and _let_36 _let_20))) (let ((_let_78 (_let_36 _let_20))) (let ((_let_79 (ASSUME :args (_let_36)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_72) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)) _let_74 :args _let_71) (TRUE_INTRO _let_79))) :args _let_78)) :args _let_78)) :args (true _let_77)) :args ((or _let_37 _let_11 _let_67))) _let_76 _let_34 :args (_let_11 false _let_36 false _let_20)))) (let ((_let_81 (not _let_15))) (let ((_let_82 (tptp.ordinal_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_83 (= _let_12 _let_82))) (let ((_let_84 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_85 _let_83))) (let ((_let_89 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.ordinal B)) (= (tptp.ordinal_subset A B) (tptp.subset A B)))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_89))) (let ((_let_92 ((tptp.subset A B)))) (let ((_let_93 (tptp.ordinal _let_19))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_37 _let_86))) (let ((_let_96 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ordinal B)) (not (tptp.in A B)) (tptp.ordinal A))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_96))) (let ((_let_99 ((not (= (tptp.in A B) false))))) (let ((_let_100 (and _let_54 _let_20))) (let ((_let_101 (_let_54 _let_20))) (let ((_let_102 (ASSUME :args (_let_54)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_100)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_102 _let_72) (SCOPE (TRUE_ELIM (TRANS (CONG _let_73 :args (APPLY_UF tptp.ordinal)) (TRUE_INTRO _let_102))) :args _let_101)) :args _let_101)) :args (true _let_100)) :args ((or _let_55 _let_93 _let_67))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 0)) (CONG (REFL :args (_let_56)) (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_60)) :args ((or _let_54 _let_56))) _let_62 :args (_let_54 true _let_56)) _let_34 :args (_let_93 false _let_54 false _let_20)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_37 _let_94 _let_86 (not _let_95)))) _let_76 _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_95 false _let_96)) :args (_let_86 false _let_36 false _let_93 false _let_95)))) (let ((_let_105 (or _let_94 _let_38 _let_84))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_38 _let_94 _let_84 (not _let_105)))) _let_66 _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_105 false _let_96)) :args (_let_84 false _let_21 false _let_93 false _let_105)))) (let ((_let_107 (tptp.ordinal_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_108 (or _let_85 _let_87 _let_107 _let_82))) (let ((_let_109 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.ordinal B)) (tptp.ordinal_subset A B) (tptp.ordinal_subset B A))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_112 (= _let_111 _let_107))) (let ((_let_113 (not _let_107))) (let ((_let_114 (or _let_85 _let_87 _let_112))) (let ((_let_115 (= _let_35 _let_111))) (let ((_let_116 (not _let_111))) (let ((_let_117 (or _let_16 _let_17 _let_115))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 1)) :args ((or _let_22 _let_33))) _let_32 :args (_let_22 false _let_23)))) (let ((_let_119 (_let_22))) (let ((_let_120 ((tptp.subset C D)))) (let ((_let_121 (ASSUME :args _let_119))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_16 _let_17 _let_15 (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119))) _let_118 :args (_let_18 false _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_15)) :args ((or _let_14 (not _let_12) _let_81))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 4)) _let_64 :args ((not _let_14) true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_83)) :args ((or _let_12 (not _let_82) (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_85 _let_87 _let_107 _let_82 (not _let_108)))) _let_106 _let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_112)) :args ((or _let_111 _let_113 (not _let_112)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_115)) :args ((or _let_35 _let_116 (not _let_115)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 3)) _let_64 :args ((not _let_35) true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_16 _let_17 _let_115 (not _let_117)))) _let_75 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119))) _let_118 :args (_let_117 false _let_22)) :args (_let_115 false _let_10 false _let_11 false _let_117)) :args (_let_116 true _let_35 false _let_115)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_85 _let_87 _let_112 (not _let_114)))) _let_106 _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_91))) _let_90 :args (_let_114 false _let_89)) :args (_let_112 false _let_84 false _let_86 false _let_114)) :args (_let_113 true _let_111 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ordinal_subset A B) true))))) :args (_let_109))) _let_110 :args (_let_108 false _let_109)) :args (_let_82 false _let_84 false _let_86 true _let_107 false _let_108)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_85 _let_87 _let_83 (not _let_88)))) _let_106 _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_91))) _let_90 :args (_let_88 false _let_89)) :args (_let_83 false _let_84 false _let_86 false _let_88)) :args (_let_12 false _let_82 false _let_83)) :args (_let_81 true _let_14 false _let_12)) _let_80 _let_75 :args (false false _let_18 true _let_15 false _let_11 false _let_10)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (=> (tptp.ordinal A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))) (forall ((A $$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.unordered_pair A B) (tptp.unordered_pair B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) _let_9 _let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.relation_field A) (tptp.set_union2 (tptp.relation_dom A) (tptp.relation_rng A))))) _let_6 true true _let_5 true true true true true true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (and (tptp.relation tptp.empty_set) (tptp.relation_empty_yielding tptp.empty_set) (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) _let_4 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (forall ((A $$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)) (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 $$unsorted)) (not (tptp.empty A))) (exists ((A $$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) (tptp.function A))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.ordinal A) (tptp.ordinal B)) (tptp.ordinal_subset A A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A 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 $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$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))) _let_1 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.90/1.08 )
% 0.90/1.08 % SZS output end Proof for SEU270+1
% 0.90/1.08 % cvc5---1.0.5 exiting
% 0.90/1.08 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------