TSTP Solution File: SEU013+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU013+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 16:29:02 EDT 2023
% Result : Theorem 0.22s 0.61s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU013+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 13:18:54 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.61 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.zN2b4ZfrhU/cvc5---1.0.5_16271.p...
% 0.22/0.61 ------- get file name : TPTP file name is SEU013+1
% 0.22/0.61 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16271.smt2...
% 0.22/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.61 % SZS status Theorem for SEU013+1
% 0.22/0.61 % SZS output start Proof for SEU013+1
% 0.22/0.61 (
% 0.22/0.61 (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (=> (and (tptp.one_to_one A) (tptp.one_to_one B)) (tptp.one_to_one (tptp.relation_composition A B)))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.relation_composition C B))) (=> (and (tptp.relation C) (tptp.function C)) (=> (tptp.in A (tptp.relation_dom _let_1)) (= (tptp.apply _let_1 A) (tptp.apply B (tptp.apply C A))))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (tptp.in A (tptp.relation_dom (tptp.relation_composition C B))) (and (tptp.in A (tptp.relation_dom C)) (tptp.in (tptp.apply C A) (tptp.relation_dom B)))))))))) (let ((_let_4 (tptp.relation tptp.empty_set))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (=> (and (tptp.relation A) (tptp.function A) (tptp.relation B) (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.relation_composition A B)))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (= (tptp.one_to_one A) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (and (tptp.in B _let_1) (tptp.in C _let_1) (= (tptp.apply A B) (tptp.apply A C))) (= B C))))))))) (let ((_let_9 (tptp.relation_composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_10 (tptp.apply _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_11 (tptp.apply _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_12 (= _let_11 _let_10))) (let ((_let_13 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_14 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_13))) (let ((_let_15 (= _let_11 _let_14))) (let ((_let_16 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_17 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_16))) (let ((_let_18 (= _let_10 _let_17))) (let ((_let_19 (= _let_14 _let_17))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_21 (not _let_12))) (let ((_let_22 (tptp.relation_dom _let_9))) (let ((_let_23 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_22))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_22))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_21 _let_20))) (let ((_let_28 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_2 (tptp.relation_dom _let_1))) (or (not (tptp.in B _let_2)) (not (tptp.in C _let_2)) (not (= (tptp.apply _let_1 B) (tptp.apply _let_1 C))) (= B C))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (tptp.one_to_one _let_9))) (let ((_let_31 (= _let_30 _let_28))) (let ((_let_32 (not _let_28))) (let ((_let_33 (tptp.function _let_9))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.relation _let_9))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34 _let_31))) (let ((_let_38 (forall ((A $$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_39 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 (and _let_35 _let_33))) (let ((_let_42 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47 _let_45 _let_43 _let_41))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.relation B)) (not (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_49 _let_47 _let_56 _let_45 _let_43 _let_54 _let_30))) (let ((_let_58 (forall ((A $$unsorted) (BOUND_VARIABLE_1164 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (not (tptp.relation BOUND_VARIABLE_1164)) (not (tptp.function BOUND_VARIABLE_1164)) (not (tptp.one_to_one BOUND_VARIABLE_1164)) (tptp.one_to_one (tptp.relation_composition A BOUND_VARIABLE_1164)))))) (let ((_let_59 (not _let_57))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (or))) (let ((_let_62 (not _let_58))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_60) :args (_let_62))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_58))) (REFL :args (_let_59)) :args _let_61)) _let_60 :args (_let_59 true _let_58)))) (let ((_let_64 (REFL :args (_let_57)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 4)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_61)) :args ((or _let_42 _let_57))) _let_63 :args (_let_42 true _let_57)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 3)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_61)) :args ((or _let_44 _let_57))) _let_63 :args (_let_44 true _let_57)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 1)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_61)) :args ((or _let_46 _let_57))) _let_63 :args (_let_46 true _let_57)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 0)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_61)) :args ((or _let_48 _let_57))) _let_63 :args (_let_48 true _let_57)))) (let ((_let_69 (or _let_49 _let_45 _let_35))) (let ((_let_70 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (not (tptp.relation B)) (tptp.relation (tptp.relation_composition A B)))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_32))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_72)) :args _let_72)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_31)) :args ((or _let_30 _let_32 (not _let_31)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_57 6)) _let_63 :args ((not _let_30) true _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_34 _let_31 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_49 _let_45 _let_35 (not _let_69)))) _let_68 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_composition A B)))) :args (_let_70))) _let_71 :args (_let_69 false _let_70)) :args (_let_35 false _let_48 false _let_44 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 1)) :args ((or _let_33 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_41 (not _let_50)))) _let_68 _let_67 _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_composition A B)))) :args (_let_51))) _let_52 :args (_let_50 false _let_51)) :args (_let_41 false _let_48 false _let_46 false _let_44 false _let_42 false _let_50)) :args (_let_33 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.one_to_one A)))) :args _let_40)) _let_39 :args (_let_37 false _let_38)) :args (_let_31 false _let_35 false _let_33 false _let_37)) :args (_let_32 true _let_30 false _let_31)) :args (_let_29 true _let_28)))) (let ((_let_74 (REFL :args (_let_27)))) (let ((_let_75 (or _let_45 _let_43 _let_49 _let_47 _let_26 _let_15))) (let ((_let_76 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1117 $$unsorted)) (let ((_let_1 (tptp.relation_composition BOUND_VARIABLE_1117 B))) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1117)) (not (tptp.function BOUND_VARIABLE_1117)) (not (tptp.in A (tptp.relation_dom _let_1))) (= (tptp.apply _let_1 A) (tptp.apply B (tptp.apply BOUND_VARIABLE_1117 A)))))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 ((not (= (tptp.in A (tptp.relation_dom (tptp.relation_composition BOUND_VARIABLE_1117 B))) false))))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_61)) :args ((or _let_25 _let_27))) _let_73 :args (_let_25 true _let_27)))) (let ((_let_81 (or _let_45 _let_43 _let_49 _let_47 _let_24 _let_18))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_61)) :args ((or _let_23 _let_27))) _let_73 :args (_let_23 true _let_27)))) (let ((_let_83 (= _let_13 _let_16))) (let ((_let_84 (not _let_19))) (let ((_let_85 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_86 (tptp.in _let_13 _let_85))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.in _let_16 _let_85))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87 _let_84 _let_83))) (let ((_let_91 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (not (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 B) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 C))) (= B C)))))) (let ((_let_92 (= _let_53 _let_91))) (let ((_let_93 (or _let_45 _let_43 _let_92))) (let ((_let_94 ((not (= (tptp.relation A) false))))) (let ((_let_95 (_let_91))) (let ((_let_96 (not _let_83))) (let ((_let_97 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_98 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_97))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_97))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_99 _let_96 _let_20))) (let ((_let_103 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (not (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 B) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C))) (= B C)))))) (let ((_let_104 (= _let_55 _let_103))) (let ((_let_105 (or _let_49 _let_47 _let_104))) (let ((_let_106 (_let_103))) (let ((_let_107 (and _let_100 _let_88))) (let ((_let_108 (= _let_23 _let_107))) (let ((_let_109 (or _let_45 _let_43 _let_49 _let_47 _let_108))) (let ((_let_110 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1079 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1079)) (not (tptp.function BOUND_VARIABLE_1079)) (= (tptp.in A (tptp.relation_dom (tptp.relation_composition BOUND_VARIABLE_1079 B))) (and (tptp.in A (tptp.relation_dom BOUND_VARIABLE_1079)) (tptp.in (tptp.apply BOUND_VARIABLE_1079 A) (tptp.relation_dom B)))))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (_let_110))) (let ((_let_113 ((tptp.in A (tptp.relation_dom (tptp.relation_composition BOUND_VARIABLE_1079 B)))))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_108)) :args ((or _let_24 _let_107 (not _let_108)))) _let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_108 (not _let_109)))) _let_68 _let_67 _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_113)) :args _let_112)) _let_111 :args (_let_109 false _let_110)) :args (_let_108 false _let_48 false _let_46 false _let_44 false _let_42 false _let_109)) :args (_let_107 false _let_23 false _let_108)))) (let ((_let_115 (not _let_107))) (let ((_let_116 (and _let_98 _let_86))) (let ((_let_117 (= _let_25 _let_116))) (let ((_let_118 (or _let_45 _let_43 _let_49 _let_47 _let_117))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_117)) :args ((or _let_26 _let_116 (not _let_117)))) _let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_117 (not _let_118)))) _let_68 _let_67 _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_113)) :args _let_112)) _let_111 :args (_let_118 false _let_110)) :args (_let_117 false _let_48 false _let_46 false _let_44 false _let_42 false _let_118)) :args (_let_116 false _let_25 false _let_117)))) (let ((_let_120 (not _let_116))) (let ((_let_121 (ASSUME :args (_let_84)))) (let ((_let_122 (ASSUME :args (_let_18)))) (let ((_let_123 (ASSUME :args (_let_12)))) (let ((_let_124 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_121 _let_124 _let_122 _let_123) :args (_let_12 _let_15 _let_18 _let_84)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS (SYMM _let_124) (SYMM (SYMM _let_123)) (SYMM (SYMM _let_122))))) (FALSE_INTRO _let_121))) :args (_let_84 _let_15 _let_18 _let_12)) :args ((not (and _let_12 _let_15 _let_18 _let_84)) SB_LITERAL))) (CONG (REFL :args (_let_21)) (REFL :args ((not _let_15))) (REFL :args ((not _let_18))) (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_19))) :args _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_87 _let_89 _let_83 _let_84 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_116 1)) :args ((or _let_86 _let_120))) _let_119 :args (_let_86 false _let_116)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_107 1)) :args ((or _let_88 _let_115))) _let_114 :args (_let_88 false _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_20 _let_99 _let_101 _let_96 (not _let_102)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 3)) _let_73 :args ((not _let_20) true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_116 0)) :args ((or _let_98 _let_120))) _let_119 :args (_let_98 false _let_116)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_107 0)) :args ((or _let_100 _let_115))) _let_114 :args (_let_100 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_106) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in B _let_97) false)) (not (= (tptp.in C _let_97) false))))) :args _let_106))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_104)) :args ((or _let_56 _let_103 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 2)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_61)) :args ((or _let_55 _let_57))) _let_63 :args (_let_55 true _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_49 _let_47 _let_104 (not _let_105)))) _let_68 _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_40)) _let_39 :args (_let_105 false _let_38)) :args (_let_104 false _let_48 false _let_46 false _let_105)) :args (_let_103 false _let_55 false _let_104)) :args (_let_102 false _let_103)) :args (_let_96 true _let_20 false _let_98 false _let_100 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_95) :args (_let_16 _let_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in B _let_85) false)) (not (= (tptp.in C _let_85) false))))) :args _let_95))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_92)) :args ((or _let_54 _let_91 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 5)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_61)) :args ((or _let_53 _let_57))) _let_63 :args (_let_53 true _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_45 _let_43 _let_92 (not _let_93)))) _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_40)) _let_39 :args (_let_93 false _let_38)) :args (_let_92 false _let_44 false _let_42 false _let_93)) :args (_let_91 false _let_53 false _let_92)) :args (_let_90 false _let_91)) :args (_let_84 false _let_86 false _let_88 true _let_83 false _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_24 _let_18 (not _let_81)))) _let_68 _let_67 _let_66 _let_65 _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_78)) _let_77 :args (_let_81 false _let_76)) :args (_let_18 false _let_48 false _let_46 false _let_44 false _let_42 false _let_23 false _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_26 _let_15 (not _let_75)))) _let_68 _let_67 _let_66 _let_65 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_78)) _let_77 :args (_let_75 false _let_76)) :args (_let_15 false _let_48 false _let_46 false _let_44 false _let_42 false _let_25 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 2)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_12))) :args _let_61)) :args ((or _let_12 _let_27))) _let_73 :args (_let_12 true _let_27)) :args (false true _let_19 false _let_18 false _let_15 false _let_12)) :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))) _let_8 _let_7 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition B A))) (=> (and (tptp.empty A) (tptp.relation B)) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (and _let_5 _let_4 (tptp.relation_empty_yielding tptp.empty_set)) _let_6 (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_5 (and _let_5 _let_4) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (=> (and (tptp.empty A) (tptp.relation B)) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$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 $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) _let_1 (forall ((A $$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 $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.62 )
% 0.22/0.62 % SZS output end Proof for SEU013+1
% 0.22/0.62 % cvc5---1.0.5 exiting
% 0.22/0.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------