TSTP Solution File: SEU253+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU253+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 16:30:25 EDT 2023
% Result : Theorem 0.21s 0.57s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU253+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.15/0.34 % Computer : n029.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Wed Aug 23 19:45:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.57 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gHWbMWfN8p/cvc5---1.0.5_4161.p...
% 0.21/0.57 ------- get file name : TPTP file name is SEU253+1
% 0.21/0.57 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4161.smt2...
% 0.21/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57 % SZS status Theorem for SEU253+1
% 0.21/0.57 % SZS output start Proof for SEU253+1
% 0.21/0.57 (
% 0.21/0.57 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (=> (tptp.connected B) (tptp.connected (tptp.relation_restriction B A)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation C) (=> (tptp.in A (tptp.relation_field (tptp.relation_restriction C B))) (and (tptp.in A (tptp.relation_field C)) (tptp.in A B))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation C) (= (tptp.in A (tptp.relation_restriction C B)) (and (tptp.in A C) (tptp.in A (tptp.cartesian_product2 B B)))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 C D)) (and (tptp.in A C) (tptp.in B D)))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.connected A) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_field A))) (not (and (tptp.in B _let_1) (tptp.in C _let_1) (not (= B C)) (not (tptp.in (tptp.ordered_pair B C) A)) (not (tptp.in (tptp.ordered_pair C B) A))))))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_restriction A B)))))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_8 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_9 (tptp.in _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_10 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_11 (tptp.in _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_12 (tptp.relation_field SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_13 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_12))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_12))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14 _let_7 _let_11 _let_9))) (let ((_let_18 (tptp.relation_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_19 (tptp.in _let_8 _let_18))) (let ((_let_20 (tptp.in _let_10 _let_18))) (let ((_let_21 (tptp.relation_field _let_18))) (let ((_let_22 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_21))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_21))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_7 _let_20 _let_19))) (let ((_let_27 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_2 (tptp.relation_field _let_1))) (or (not (tptp.in B _let_2)) (not (tptp.in C _let_2)) (= B C) (tptp.in (tptp.ordered_pair B C) _let_1) (tptp.in (tptp.ordered_pair C B) _let_1))))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.connected _let_18))) (let ((_let_30 (= _let_29 _let_27))) (let ((_let_31 (not _let_27))) (let ((_let_32 (tptp.relation _let_18))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_30))) (let ((_let_35 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.connected A) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_field A))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (= B C) (tptp.in (tptp.ordered_pair B C) A) (tptp.in (tptp.ordered_pair C B) A))))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_32))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (tptp.relation (tptp.relation_restriction A B)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (tptp.connected SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_39 _let_44 _let_29))) (let ((_let_46 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (not (tptp.connected B)) (tptp.connected (tptp.relation_restriction B A)))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (or))) (let ((_let_50 (not _let_46))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_48) :args (_let_50))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_46))) (REFL :args (_let_47)) :args _let_49)) _let_48 :args (_let_47 true _let_46)))) (let ((_let_52 (REFL :args (_let_45)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 0)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_49)) :args ((or _let_38 _let_45))) _let_51 :args (_let_38 true _let_45)))) (let ((_let_54 (_let_31))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args (_let_28)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_30)) :args ((or _let_29 _let_31 (not _let_30)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_45 2)) _let_51 :args ((not _let_29) true _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_30 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_32 (not _let_40)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_restriction A B)))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_32 false _let_38 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.connected A)))) :args _let_37)) _let_36 :args (_let_34 false _let_35)) :args (_let_30 false _let_32 false _let_34)) :args (_let_31 true _let_29 false _let_30)) :args (_let_28 true _let_27)))) (let ((_let_56 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_field SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (= B C) (tptp.in (tptp.ordered_pair B C) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.in (tptp.ordered_pair C B) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))))) (let ((_let_57 (= _let_43 _let_56))) (let ((_let_58 (or _let_39 _let_57))) (let ((_let_59 (_let_56))) (let ((_let_60 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_61 (and _let_13 _let_60))) (let ((_let_62 (or _let_39 _let_23 _let_61))) (let ((_let_63 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.in A (tptp.relation_field (tptp.relation_restriction C B)))) (and (tptp.in A (tptp.relation_field C)) (tptp.in A B)))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (_let_63))) (let ((_let_66 ((not (= (tptp.in A (tptp.relation_field (tptp.relation_restriction C B))) false))))) (let ((_let_67 (REFL :args (_let_26)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_39 _let_23 _let_61 (not _let_62)))) _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 1)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_49)) :args ((or _let_22 _let_26))) _let_55 :args (_let_22 true _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_65)) _let_64 :args (_let_62 false _let_63)) :args (_let_61 false _let_38 false _let_22 false _let_62)))) (let ((_let_69 (not _let_61))) (let ((_let_70 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_71 (and _let_15 _let_70))) (let ((_let_72 (or _let_39 _let_25 _let_71))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_39 _let_25 _let_71 (not _let_72)))) _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_49)) :args ((or _let_24 _let_26))) _let_55 :args (_let_24 true _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_65)) _let_64 :args (_let_72 false _let_63)) :args (_let_71 false _let_38 false _let_24 false _let_72)))) (let ((_let_74 (not _let_71))) (let ((_let_75 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_76 (tptp.in _let_8 _let_75))) (let ((_let_77 (and _let_9 _let_76))) (let ((_let_78 (and _let_60 _let_70))) (let ((_let_79 (= _let_76 _let_78))) (let ((_let_80 (_let_4))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 C D))))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 1)) :args ((or _let_60 _let_69))) _let_68 :args (_let_60 false _let_61)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 1)) :args ((or _let_70 _let_74))) _let_73 :args (_let_70 false _let_71)))) (let ((_let_85 (not _let_60))) (let ((_let_86 (not _let_70))) (let ((_let_87 (= _let_19 _let_77))) (let ((_let_88 (not _let_77))) (let ((_let_89 (or _let_39 _let_87))) (let ((_let_90 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (= (tptp.in A (tptp.relation_restriction C B)) (and (tptp.in A C) (tptp.in A (tptp.cartesian_product2 B B)))))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 ((tptp.in A (tptp.relation_restriction C B))))) (let ((_let_94 (tptp.in _let_10 _let_75))) (let ((_let_95 (and _let_11 _let_94))) (let ((_let_96 (and _let_70 _let_60))) (let ((_let_97 (= _let_94 _let_96))) (let ((_let_98 (= _let_20 _let_95))) (let ((_let_99 (not _let_95))) (let ((_let_100 (or _let_39 _let_98))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_7 _let_11 _let_9 _let_16 _let_14 (not _let_17)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_98)) :args ((or _let_20 _let_99 (not _let_98)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 3)) _let_55 :args ((not _let_20) true _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_39 _let_98 (not _let_100)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_92)) _let_91 :args (_let_100 false _let_90)) :args (_let_98 false _let_38 false _let_100)) :args (_let_99 true _let_20 false _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_97)) :args ((or _let_94 (not _let_96) (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_96)) :args ((or _let_86 _let_85 _let_96))) _let_84 _let_83 :args (_let_96 false _let_70 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_97 false _let_4)) :args (_let_94 false _let_96 false _let_97)) :args ((not _let_11) true _let_95 false _let_94)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_87)) :args ((or _let_19 _let_88 (not _let_87)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 4)) _let_55 :args ((not _let_19) true _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_39 _let_87 (not _let_89)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_92)) _let_91 :args (_let_89 false _let_90)) :args (_let_87 false _let_38 false _let_89)) :args (_let_88 true _let_19 false _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_79)) :args ((or _let_76 (not _let_78) (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_78)) :args ((or _let_86 _let_85 _let_78))) _let_84 _let_83 :args (_let_78 false _let_70 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_79 false _let_4)) :args (_let_76 false _let_78 false _let_79)) :args ((not _let_9) true _let_77 false _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_15 _let_74))) _let_73 :args (_let_15 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 0)) :args ((or _let_13 _let_69))) _let_68 :args (_let_13 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordered_pair B C)))) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_57)) :args ((or _let_44 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 1)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_49)) :args ((or _let_43 _let_45))) _let_51 :args (_let_43 true _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_39 _let_57 (not _let_58)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args _let_37)) _let_36 :args (_let_58 false _let_35)) :args (_let_57 false _let_38 false _let_58)) :args (_let_56 false _let_43 false _let_57)) :args (_let_17 false _let_56)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 2)) _let_55 :args ((not _let_7) true _let_26)) :args (false true _let_11 true _let_9 false _let_15 false _let_13 false _let_17 true _let_7)) :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)) (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 $$unsorted) (B $$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))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.relation_field A) (tptp.set_union2 (tptp.relation_dom A) (tptp.relation_rng A))))) (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (tptp.relation_restriction A B) (tptp.set_intersection2 A (tptp.cartesian_product2 B B)))))) true true true true true _let_6 true true true true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (forall ((A $$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 $$unsorted)) (= (tptp.set_union2 A A) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) _let_5 (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) _let_4 _let_3 _let_2 (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_1 (forall ((A $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58 )
% 0.21/0.58 % SZS output end Proof for SEU253+1
% 0.21/0.58 % cvc5---1.0.5 exiting
% 0.21/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------