%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU042+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 16:29:07 EDT 2023

% Result   : Theorem 26.41s 26.66s
% Output   : Proof 26.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU042+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Wed Aug 23 20:49:57 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 26.41/26.66  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4PakdJlaJX/cvc5---1.0.5_3545.p...
% 26.41/26.66  ------- get file name : TPTP file name is SEU042+1
% 26.41/26.66  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3545.smt2...
% 26.41/26.66  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.41/26.66  --- Run --no-e-matching --full-saturate-quant at 5...
% 26.41/26.66  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.41/26.66  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.41/26.66  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.41/26.66  % SZS status Theorem for SEU042+1
% 26.41/26.66  % SZS output start Proof for SEU042+1
% 26.41/26.66  (
% 26.41/26.66  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (=> (tptp.one_to_one B) (tptp.one_to_one (tptp.relation_dom_restriction B A)))))))) (let ((_let_2 (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_3 (tptp.relation tptp.empty_set))) (let ((_let_4 (tptp.empty tptp.empty_set))) (let ((_let_5 (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_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_dom_restriction A B)))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (= (tptp.one_to_one A) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (and (tptp.in B _let_1) (tptp.in C _let_1) (= (tptp.apply A B) (tptp.apply A C))) (= B C))))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))))) (let ((_let_10 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_11 (tptp.apply _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_12 (tptp.apply _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_13 (= _let_12 _let_11))) (let ((_let_14 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_15 (= _let_12 _let_14))) (let ((_let_16 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_17 (= _let_11 _let_16))) (let ((_let_18 (= _let_14 _let_16))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_20 (not _let_13))) (let ((_let_21 (tptp.relation_dom _let_10))) (let ((_let_22 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_21))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_21))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_20 _let_19))) (let ((_let_27 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_2 (tptp.relation_dom _let_1))) (or (not (tptp.in B _let_2)) (not (tptp.in C _let_2)) (not (= (tptp.apply _let_1 B) (tptp.apply _let_1 C))) (= B C))))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.one_to_one _let_10))) (let ((_let_30 (= _let_29 _let_27))) (let ((_let_31 (not _let_27))) (let ((_let_32 (tptp.function _let_10))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.relation _let_10))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_30))) (let ((_let_37 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (= (tptp.one_to_one A) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (not (= (tptp.apply A B) (tptp.apply A C))) (= B C))))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 (and _let_34 _let_32))) (let ((_let_41 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42 _let_40))) (let ((_let_46 (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_47 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_44 _let_42 _let_49 _let_29))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.one_to_one B)) (tptp.one_to_one (tptp.relation_dom_restriction B A)))))) (let ((_let_52 (not _let_50))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (or))) (let ((_let_55 (not _let_51))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_53) :args (_let_55))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_51))) (REFL :args (_let_52)) :args _let_54)) _let_53 :args (_let_52 true _let_51)))) (let ((_let_57 (REFL :args (_let_50)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 1)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_54)) :args ((or _let_41 _let_50))) _let_56 :args (_let_41 true _let_50)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 0)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_54)) :args ((or _let_43 _let_50))) _let_56 :args (_let_43 true _let_50)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_40 1)) :args ((or _let_32 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_42 _let_40 (not _let_45)))) _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_dom_restriction A B)))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_40 false _let_43 false _let_41 false _let_45)) :args (_let_32 false _let_40)))) (let ((_let_61 (or _let_44 _let_34))) (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_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_44 _let_34 (not _let_61)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_dom_restriction A B)))) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_34 false _let_43 false _let_61)))) (let ((_let_65 (_let_31))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_65)) :args _let_65)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args (_let_28)) :args _let_54)) (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_50 3)) _let_56 :args ((not _let_29) true _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_33 _let_30 (not _let_36)))) _let_64 _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.one_to_one A)))) :args _let_39)) _let_38 :args (_let_36 false _let_37)) :args (_let_30 false _let_34 false _let_32 false _let_36)) :args (_let_31 true _let_29 false _let_30)) :args (_let_28 true _let_27)))) (let ((_let_67 (REFL :args (_let_26)))) (let ((_let_68 (or _let_25 _let_15))) (let ((_let_69 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (or (not (tptp.in D (tptp.relation_dom _let_1))) (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D) (tptp.apply _let_1 D))))))) (let ((_let_70 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_71 (tptp.set_intersection2 _let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_72 (= _let_21 _let_71))) (let ((_let_73 (and _let_72 _let_69))) (let ((_let_74 (or _let_35 _let_33 _let_44 _let_42 _let_73))) (let ((_let_75 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1162 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1162)) (not (tptp.function BOUND_VARIABLE_1162)) (= (= B (tptp.relation_dom_restriction BOUND_VARIABLE_1162 A)) (and (= (tptp.relation_dom B) (tptp.set_intersection2 (tptp.relation_dom BOUND_VARIABLE_1162) A)) (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom B))) (= (tptp.apply B D) (tptp.apply BOUND_VARIABLE_1162 D)))))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_44 _let_42 _let_35 _let_33 _let_73 (not _let_74)))) _let_59 _let_58 _let_64 _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_75)))) _let_76 :args (_let_74 false _let_75)) :args (_let_73 false _let_43 false _let_41 false _let_34 false _let_32 false _let_74)))) (let ((_let_78 (not _let_73))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 1)) :args ((or _let_69 _let_78))) _let_77 :args (_let_69 false _let_73)))) (let ((_let_80 (_let_69))) (let ((_let_81 ((not (= (tptp.in D _let_21) false))))) (let ((_let_82 (ASSUME :args _let_80))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_54)) :args ((or _let_24 _let_26))) _let_66 :args (_let_24 true _let_26)))) (let ((_let_84 (or _let_23 _let_17))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 1)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_54)) :args ((or _let_22 _let_26))) _let_66 :args (_let_22 true _let_26)))) (let ((_let_86 (not _let_18))) (let ((_let_87 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_70))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_70))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_88 _let_86 _let_19))) (let ((_let_92 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (not (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 B) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 C))) (= B C)))))) (let ((_let_93 (= _let_48 _let_92))) (let ((_let_94 (or _let_44 _let_42 _let_93))) (let ((_let_95 (_let_92))) (let ((_let_96 (and _let_87 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_97 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_71))) (let ((_let_98 (= _let_97 _let_96))) (let ((_let_99 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (= (tptp.in D (tptp.set_intersection2 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (and (tptp.in D _let_1) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))))) (let ((_let_100 (_let_8))) (let ((_let_101 (ASSUME :args _let_100))) (let ((_let_102 (_let_99))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 0)) :args ((or _let_72 _let_78))) _let_77 :args (_let_72 false _let_73)))) (let ((_let_104 (and _let_22 _let_72))) (let ((_let_105 (_let_22 _let_72))) (let ((_let_106 (ASSUME :args (_let_22)))) (let ((_let_107 (APPLY_UF tptp.in))) (let ((_let_108 (ASSUME :args (_let_72)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (and (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_89))) (let ((_let_111 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_70))) (let ((_let_112 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_111))) (let ((_let_113 (= _let_112 _let_110))) (let ((_let_114 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (= (tptp.in D (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_1)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) (tptp.in D _let_1))))))) (let ((_let_115 (_let_114))) (let ((_let_116 (= _let_71 _let_111))) (let ((_let_117 (_let_9))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 (and _let_24 _let_72 _let_116))) (let ((_let_120 (_let_24 _let_72 _let_116))) (let ((_let_121 (ASSUME :args (_let_24)))) (let ((_let_122 (ASSUME :args (_let_116)))) (let ((_let_123 (ASSUME :args (_let_86)))) (let ((_let_124 (ASSUME :args (_let_17)))) (let ((_let_125 (ASSUME :args (_let_13)))) (let ((_let_126 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_123 _let_126 _let_124 _let_125) :args (_let_13 _let_15 _let_17 _let_86)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS (SYMM _let_126) (SYMM (SYMM _let_125)) (SYMM (SYMM _let_124))))) (FALSE_INTRO _let_123))) :args (_let_86 _let_15 _let_17 _let_13)) :args ((not (and _let_13 _let_15 _let_17 _let_86)) SB_LITERAL))) (CONG (REFL :args (_let_20)) (REFL :args ((not _let_15))) (REFL :args ((not _let_17))) (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_18))) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_19 _let_90 _let_88 _let_86 (not _let_91)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 3)) _let_66 :args ((not _let_19) true _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_110 1)) :args ((or _let_89 (not _let_110)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_113)) :args ((or _let_110 (not _let_112) (not _let_113)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_119)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_121 _let_108 _let_122) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) (TRANS (SYMM _let_122) _let_109) :args _let_107) (TRUE_INTRO _let_121))) :args _let_120)) :args _let_120)) :args (true _let_119)) _let_83 _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_intersection2 A B)))) :args _let_117)) _let_118 :args (_let_116 false _let_9)) :args (_let_112 false _let_24 false _let_72 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_115) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_70 _let_111 QUANTIFIERS_INST_CBQI_PROP)) :args _let_100))) _let_101 :args (_let_114 false _let_8)) :args (_let_113 false _let_114)) :args (_let_110 false _let_112 false _let_113)) :args (_let_89 false _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 0)) :args ((or _let_87 (not _let_96)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_98)) :args ((or _let_96 (not _let_97) (not _let_98)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_104)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_106 _let_108) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17)) _let_109 :args _let_107) (TRUE_INTRO _let_106))) :args _let_105)) :args _let_105)) :args (true _let_104)) _let_85 _let_103 :args (_let_97 false _let_22 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_102) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D _let_71)))) :args _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_71 QUANTIFIERS_INST_CBQI_PROP)) :args _let_100))) _let_101 :args (_let_99 false _let_8)) :args (_let_98 false _let_99)) :args (_let_96 false _let_97 false _let_98)) :args (_let_87 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_95) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_93)) :args ((or _let_49 _let_92 (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 2)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_54)) :args ((or _let_48 _let_50))) _let_56 :args (_let_48 true _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_44 _let_42 _let_93 (not _let_94)))) _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args _let_39)) _let_38 :args (_let_94 false _let_37)) :args (_let_93 false _let_43 false _let_41 false _let_94)) :args (_let_92 false _let_48 false _let_93)) :args (_let_91 false _let_92)) :args (_let_86 true _let_19 false _let_89 false _let_87 false _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_23 _let_17 (not _let_84)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_80))) _let_79 :args (_let_84 false _let_69)) :args (_let_17 false _let_22 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_25 _let_15 (not _let_68)))) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_80))) _let_79 :args (_let_68 false _let_69)) :args (_let_15 false _let_24 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 2)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_13))) :args _let_54)) :args ((or _let_13 _let_26))) _let_66 :args (_let_13 true _let_26)) :args (false true _let_18 false _let_17 false _let_15 false _let_13)) :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)))))) _let_9 _let_8 _let_7 _let_6 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_4 _let_3 (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 $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_4 _let_5 (and _let_4 _let_3) (forall ((A $$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 $$unsorted)) (= (tptp.set_intersection2 A A) A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (forall ((A $$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_2 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.41/26.66  )
% 26.41/26.66  % SZS output end Proof for SEU042+1
% 26.41/26.66  % cvc5---1.0.5 exiting
% 26.41/26.67  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------