TSTP Solution File: SEU225+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU225+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 16:30:12 EDT 2023
% Result : Theorem 22.75s 23.02s
% Output : Proof 22.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU225+3 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 21:35:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 22.75/23.02 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.CKPLs4WtYJ/cvc5---1.0.5_22632.p...
% 22.75/23.02 ------- get file name : TPTP file name is SEU225+3
% 22.75/23.02 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22632.smt2...
% 22.75/23.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 22.75/23.02 --- Run --no-e-matching --full-saturate-quant at 5...
% 22.75/23.02 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 22.75/23.02 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.75/23.02 % SZS status Theorem for SEU225+3
% 22.75/23.02 % SZS output start Proof for SEU225+3
% 22.75/23.02 (
% 22.75/23.02 (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 $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (= C (tptp.apply A B)))) (let ((_let_2 (tptp.in B (tptp.relation_dom A)))) (and (=> _let_2 (= _let_1 (tptp.in (tptp.ordered_pair B C) A))) (=> (not _let_2) (= _let_1 (= C tptp.empty_set))))))))))) (let ((_let_10 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_11 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_12 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_13 (= tptp.empty_set _let_12))) (let ((_let_14 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_14))) (let ((_let_16 (or _let_15 _let_13))) (let ((_let_17 (tptp.ordered_pair tptp.empty_set tptp.empty_set))) (let ((_let_18 (and (or (not (tptp.in tptp.empty_set _let_14)) (= (= tptp.empty_set (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 tptp.empty_set)) (tptp.in _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) _let_16))) (let ((_let_19 (not _let_11))) (let ((_let_20 (not _let_10))) (let ((_let_21 (or _let_20 _let_19 _let_18))) (let ((_let_22 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_23 (tptp.apply _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_24 (= _let_23 _let_12))) (let ((_let_25 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_20 _let_19 _let_26 _let_24))) (let ((_let_28 (forall ((A $$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_29 (not _let_27))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (not _let_28))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_30) :args (_let_32))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_31)) _let_30 :args (_let_29 true _let_28)))) (let ((_let_34 (REFL :args (_let_27)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_10))) :args _let_31)) :args ((or _let_10 _let_27))) _let_33 :args (_let_10 true _let_27)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_11))) :args _let_31)) :args ((or _let_11 _let_27))) _let_33 :args (_let_11 true _let_27)))) (let ((_let_37 (forall ((A $$unsorted) (BOUND_VARIABLE_1071 $$unsorted) (BOUND_VARIABLE_1069 $$unsorted) (BOUND_VARIABLE_1059 $$unsorted) (BOUND_VARIABLE_1057 $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (or (not (tptp.in BOUND_VARIABLE_1057 _let_1)) (= (= BOUND_VARIABLE_1059 (tptp.apply A BOUND_VARIABLE_1057)) (tptp.in (tptp.ordered_pair BOUND_VARIABLE_1057 BOUND_VARIABLE_1059) A))) (or (tptp.in BOUND_VARIABLE_1069 _let_1) (= (= BOUND_VARIABLE_1071 (tptp.apply A BOUND_VARIABLE_1069)) (= tptp.empty_set BOUND_VARIABLE_1071))))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 (not _let_18))) (let ((_let_41 (not _let_16))) (let ((_let_42 (and _let_15 _let_25))) (let ((_let_43 (not _let_15))) (let ((_let_44 (tptp.relation_dom _let_22))) (let ((_let_45 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_44))) (let ((_let_46 (= _let_45 _let_42))) (let ((_let_47 (not _let_42))) (let ((_let_48 (or _let_20 _let_19 _let_46))) (let ((_let_49 (forall ((A $$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_50 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (not _let_45))) (let ((_let_52 (or _let_51 _let_24))) (let ((_let_53 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (or (not (tptp.in D (tptp.relation_dom _let_1))) (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 D) (tptp.apply _let_1 D))))))) (let ((_let_54 (and (= _let_44 (tptp.set_intersection2 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) _let_53))) (let ((_let_55 (tptp.function _let_22))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.relation _let_22))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56 _let_20 _let_19 _let_54))) (let ((_let_60 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1268 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1268)) (not (tptp.function BOUND_VARIABLE_1268)) (= (= B (tptp.relation_dom_restriction BOUND_VARIABLE_1268 A)) (and (= (tptp.relation_dom B) (tptp.set_intersection2 (tptp.relation_dom BOUND_VARIABLE_1268) A)) (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom B))) (= (tptp.apply B D) (tptp.apply BOUND_VARIABLE_1268 D)))))))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (and _let_57 _let_55))) (let ((_let_63 (or _let_20 _let_19 _let_62))) (let ((_let_64 (forall ((A $$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_65 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_20 _let_19 _let_62 (not _let_63)))) _let_35 _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_62 false _let_10 false _let_11 false _let_63)))) (let ((_let_67 (not _let_62))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_62 1)) :args ((or _let_55 _let_67))) _let_66 :args (_let_55 false _let_62)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_62 0)) :args ((or _let_57 _let_67))) _let_66 :args (_let_57 false _let_62)))) (let ((_let_70 (_let_53))) (let ((_let_71 (not _let_24))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 3)) _let_33 :args (_let_71 true _let_27)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_24 _let_51 (not _let_52)))) _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_54 1)) :args ((or _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_20 _let_19 _let_58 _let_56 _let_54 (not _let_59)))) _let_35 _let_36 _let_69 _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_60)))) _let_61 :args (_let_59 false _let_60)) :args (_let_54 false _let_10 false _let_11 false _let_57 false _let_55 false _let_59)) :args (_let_53 false _let_54)) :args (_let_52 false _let_53)) :args (_let_51 true _let_24 false _let_52)))) (let ((_let_74 (= tptp.empty_set _let_23))) (let ((_let_75 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_76 (not _let_13))) (let ((_let_77 (or _let_45 _let_74))) (let ((_let_78 (and (or (not (tptp.in tptp.empty_set _let_44)) (= (= tptp.empty_set (tptp.apply _let_22 tptp.empty_set)) (tptp.in _let_17 _let_22))) _let_77))) (let ((_let_79 (or _let_58 _let_56 _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_13)))) (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_21)) :args ((or _let_20 _let_19 _let_18 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_16 _let_40))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_13 _let_15 _let_41))) (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_13 _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_13 _let_71)) :args ((not (and _let_71 _let_75 _let_13 _let_74)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_24))) (REFL :args ((not _let_75))) (REFL :args (_let_76)) (REFL :args ((not _let_74))) :args _let_31)) _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_31)) :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_31)) _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_45 (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_58 _let_56 _let_78 (not _let_79)))) _let_69 _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_22 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 tptp.empty_set tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39))) _let_38 :args (_let_79 false _let_37)) :args (_let_78 false _let_57 false _let_55 false _let_79)) :args (_let_77 false _let_78)) :args (_let_74 true _let_45 false _let_77)) :args (_let_76 true _let_24 false _let_75 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_42)) :args ((or _let_26 _let_42 _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 2)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_31)) :args ((or _let_25 _let_27))) _let_33 :args (_let_25 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_46)) :args ((or _let_45 _let_47 (not _let_46)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_20 _let_19 _let_46 (not _let_48)))) _let_35 _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_46 false _let_10 false _let_11 false _let_48)) :args (_let_47 true _let_45 false _let_46)) :args (_let_43 false _let_25 true _let_42)) :args (_let_41 true _let_13 true _let_15)) :args (_let_40 true _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 tptp.empty_set tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39))) _let_38 :args (_let_21 false _let_37)) _let_36 _let_35 :args (false true _let_18 false _let_21 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 $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$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_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_dom_restriction A B)))) (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)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_7 (forall ((A $$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 $$unsorted)) (and (tptp.relation A) (tptp.function A))) _let_4 (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$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))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (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 $$unsorted)) (tptp.subset A A)) (forall ((A $$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)))) (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)))) _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.75/23.02 )
% 22.75/23.02 % SZS output end Proof for SEU225+3
% 22.75/23.02 % cvc5---1.0.5 exiting
% 22.88/23.03 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------