TSTP Solution File: SEU225+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU225+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 16:30:11 EDT 2023
% Result : Theorem 14.45s 14.65s
% Output : Proof 14.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n008.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 20:37:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 14.45/14.65 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.2yaPDUHTKC/cvc5---1.0.5_3668.p...
% 14.45/14.65 ------- get file name : TPTP file name is SEU225+1
% 14.45/14.65 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3668.smt2...
% 14.45/14.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 14.45/14.65 --- Run --no-e-matching --full-saturate-quant at 5...
% 14.45/14.65 % SZS status Theorem for SEU225+1
% 14.45/14.65 % SZS output start Proof for SEU225+1
% 14.45/14.65 (
% 14.45/14.65 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (=> (tptp.in B A) (= (tptp.apply (tptp.relation_dom_restriction C A) B) (tptp.apply C B)))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (= B (tptp.relation_dom_restriction C A)) (and (= (tptp.relation_dom B) (tptp.set_intersection2 (tptp.relation_dom C) A)) (forall ((D $$unsorted)) (=> (tptp.in D (tptp.relation_dom B)) (= (tptp.apply B D) (tptp.apply C D)))))))))))) (let ((_let_4 (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (tptp.in B (tptp.relation_dom (tptp.relation_dom_restriction C A))) (and (tptp.in B (tptp.relation_dom C)) (tptp.in B A))))))) (let ((_let_6 (tptp.relation tptp.empty_set))) (let ((_let_7 (tptp.empty tptp.empty_set))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (=> (and (tptp.relation A) (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_dom_restriction A B)))))) (let ((_let_10 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (= C (tptp.apply A B)))) (let ((_let_2 (tptp.in B (tptp.relation_dom A)))) (and (=> _let_2 (= _let_1 (tptp.in (tptp.ordered_pair B C) A))) (=> (not _let_2) (= _let_1 (= C tptp.empty_set))))))))))) (let ((_let_11 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_12 (= tptp.empty_set _let_11))) (let ((_let_13 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_14 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (tptp.ordered_pair tptp.empty_set tptp.empty_set))) (let ((_let_17 (and (or (not (tptp.in tptp.empty_set _let_13)) (= (= tptp.empty_set (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 tptp.empty_set)) (tptp.in _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) _let_15))) (let ((_let_18 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_17))) (let ((_let_23 (forall ((A $$unsorted) (BOUND_VARIABLE_1004 $$unsorted) (BOUND_VARIABLE_1002 $$unsorted) (BOUND_VARIABLE_992 $$unsorted) (BOUND_VARIABLE_990 $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (or (not (tptp.in BOUND_VARIABLE_990 _let_1)) (= (= BOUND_VARIABLE_992 (tptp.apply A BOUND_VARIABLE_990)) (tptp.in (tptp.ordered_pair BOUND_VARIABLE_990 BOUND_VARIABLE_992) A))) (or (tptp.in BOUND_VARIABLE_1002 _let_1) (= (= BOUND_VARIABLE_1004 (tptp.apply A BOUND_VARIABLE_1002)) (= tptp.empty_set BOUND_VARIABLE_1004))))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_23))) (let ((_let_26 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_27 (tptp.apply _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_28 (= _let_27 _let_11))) (let ((_let_29 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_21 _let_19 _let_30 _let_28))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.function C)) (not (tptp.in B A)) (= (tptp.apply (tptp.relation_dom_restriction C A) B) (tptp.apply C B)))))) (let ((_let_33 (not _let_31))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (or))) (let ((_let_36 (not _let_32))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_34) :args (_let_36))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_32))) (REFL :args (_let_33)) :args _let_35)) _let_34 :args (_let_33 true _let_32)))) (let ((_let_38 (REFL :args (_let_31)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_35)) :args ((or _let_18 _let_31))) _let_37 :args (_let_18 true _let_31)))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_35)) :args ((or _let_20 _let_31))) _let_37 :args (_let_20 true _let_31)))) (let ((_let_41 (and _let_14 _let_29))) (let ((_let_42 (not _let_14))) (let ((_let_43 (tptp.relation_dom _let_26))) (let ((_let_44 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_43))) (let ((_let_45 (= _let_44 _let_41))) (let ((_let_46 (not _let_41))) (let ((_let_47 (or _let_21 _let_19 _let_45))) (let ((_let_48 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.function C)) (= (tptp.in B (tptp.relation_dom (tptp.relation_dom_restriction C A))) (and (tptp.in B (tptp.relation_dom C)) (tptp.in B A))))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (not _let_44))) (let ((_let_51 (or _let_50 _let_28))) (let ((_let_52 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (or (not (tptp.in D (tptp.relation_dom _let_1))) (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 D) (tptp.apply _let_1 D))))))) (let ((_let_53 (and (= _let_43 (tptp.set_intersection2 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) _let_52))) (let ((_let_54 (tptp.function _let_26))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.relation _let_26))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55 _let_21 _let_19 _let_53))) (let ((_let_59 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1163 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1163)) (not (tptp.function BOUND_VARIABLE_1163)) (= (= B (tptp.relation_dom_restriction BOUND_VARIABLE_1163 A)) (and (= (tptp.relation_dom B) (tptp.set_intersection2 (tptp.relation_dom BOUND_VARIABLE_1163) A)) (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom B))) (= (tptp.apply B D) (tptp.apply BOUND_VARIABLE_1163 D)))))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (or _let_21 _let_56))) (let ((_let_62 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (tptp.relation (tptp.relation_dom_restriction A B)))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_21 _let_56 (not _let_61)))) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_56 false _let_20 false _let_61)))) (let ((_let_65 (and _let_56 _let_54))) (let ((_let_66 (or _let_21 _let_19 _let_65))) (let ((_let_67 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_54 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_21 _let_19 _let_65 (not _let_66)))) _let_40 _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_ENUM)) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_65 false _let_20 false _let_18 false _let_66)) :args (_let_54 false _let_65)))) (let ((_let_70 (_let_52))) (let ((_let_71 (not _let_28))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_31 3)) _let_37 :args (_let_71 true _let_31)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_28 _let_50 (not _let_51)))) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_70) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_70))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_53 1)) :args ((or _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_21 _let_19 _let_55 _let_57 _let_53 (not _let_58)))) _let_40 _let_39 _let_69 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_ENUM)) :args (_let_59)))) _let_60 :args (_let_58 false _let_59)) :args (_let_53 false _let_20 false _let_18 false _let_54 false _let_56 false _let_58)) :args (_let_52 false _let_53)) :args (_let_51 false _let_52)) :args (_let_50 true _let_28 false _let_51)))) (let ((_let_74 (= tptp.empty_set _let_27))) (let ((_let_75 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_76 (not _let_12))) (let ((_let_77 (or _let_44 _let_74))) (let ((_let_78 (and (or (not (tptp.in tptp.empty_set _let_43)) (= (= tptp.empty_set (tptp.apply _let_26 tptp.empty_set)) (tptp.in _let_16 _let_26))) _let_77))) (let ((_let_79 (or _let_57 _let_55 _let_78))) (let ((_let_80 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_75))) (let ((_let_83 (forall ((A $$unsorted)) (or (not (tptp.empty A)) (= tptp.empty_set A))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (or _let_81 (not (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_86 (forall ((A $$unsorted)) (or (not (tptp.empty A)) (not (tptp.relation A)))))) (let ((_let_87 (not _let_85))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (not _let_86))) (let ((_let_90 (ASSUME :args (_let_75)))) (let ((_let_91 (SYMM (SYMM _let_90)))) (let ((_let_92 (ASSUME :args (_let_12)))) (let ((_let_93 (ASSUME :args (_let_74)))) (let ((_let_94 (ASSUME :args (_let_71)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_12 _let_14 (not _let_15)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_90 _let_93 _let_92 _let_94) :args (_let_71 _let_75 _let_12 _let_74)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_94)) (TRUE_INTRO (TRANS (SYMM _let_93) _let_91 (SYMM (TRANS (SYMM _let_92) _let_91)))))) :args (_let_75 _let_74 _let_12 _let_71)) :args ((not (and _let_71 _let_75 _let_12 _let_74)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_28))) (REFL :args ((not _let_75))) (REFL :args (_let_76)) (REFL :args ((not _let_74))) :args _let_35)) _let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_81 _let_75 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_85 0)) (CONG (REFL :args (_let_85)) (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_35)) :args ((or _let_80 _let_85))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_88) :args (_let_89))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_86))) (REFL :args (_let_87)) :args _let_35)) _let_88 :args (_let_87 true _let_86)) :args (_let_80 true _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_83))) _let_84 :args (_let_82 false _let_83)) :args (_let_75 false _let_80 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_74 _let_44 (not _let_77)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_78 1)) :args ((or _let_77 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_55 _let_57 _let_78 (not _let_79)))) _let_69 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_26 _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 tptp.empty_set tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_25))) _let_24 :args (_let_79 false _let_23)) :args (_let_78 false _let_54 false _let_56 false _let_79)) :args (_let_77 false _let_78)) :args (_let_74 true _let_44 false _let_77)) :args (_let_76 true _let_28 false _let_75 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_41)) :args ((or _let_30 _let_42 _let_41))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 2)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_35)) :args ((or _let_29 _let_31))) _let_37 :args (_let_29 true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_45)) :args ((or _let_44 _let_46 (not _let_45)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_21 _let_19 _let_45 (not _let_47)))) _let_40 _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_48))) _let_49 :args (_let_47 false _let_48)) :args (_let_45 false _let_20 false _let_18 false _let_47)) :args (_let_46 true _let_44 false _let_45)) :args (_let_42 false _let_29 true _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_15 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 _let_17 (not _let_22)))) _let_40 _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 tptp.empty_set tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_25))) _let_24 :args (_let_22 false _let_23)) :args (_let_17 false _let_20 false _let_18 false _let_22)) :args (_let_15 false _let_17)) :args (false true _let_12 true _let_14 false _let_15)) :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 $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$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 $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) _let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) true true true true true true true _let_9 true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_7 _let_6 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (=> (and (tptp.relation A) (tptp.relation_empty_yielding A)) (and (tptp.relation _let_1) (tptp.relation_empty_yielding _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.set_intersection2 A B)))) _let_7 (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.unordered_pair A B)))) _let_8 (and _let_7 _let_6) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) _let_5 (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) _let_4 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function 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 (tptp.relation A) (tptp.relation_empty_yielding A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_3 _let_2 _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 14.45/14.66 )
% 14.45/14.66 % SZS output end Proof for SEU225+1
% 14.45/14.66 % cvc5---1.0.5 exiting
% 14.45/14.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------