TSTP Solution File: SEU014+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU014+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 : SEU014+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.19/0.35 % Computer : n018.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Wed Aug 23 13:37:57 EDT 2023
% 0.19/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.61 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.2NUARJJYdv/cvc5---1.0.5_31979.p...
% 0.22/0.61 ------- get file name : TPTP file name is SEU014+1
% 0.22/0.61 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31979.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 SEU014+1
% 0.22/0.61 % SZS output start Proof for SEU014+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 (tptp.relation_composition B A)) (tptp.subset (tptp.relation_rng B) (tptp.relation_dom A))) (tptp.one_to_one B))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (=> (tptp.relation B) (=> (tptp.subset (tptp.relation_rng A) (tptp.relation_dom B)) (= (tptp.relation_dom (tptp.relation_composition A B)) (tptp.relation_dom A))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (=> (tptp.in A (tptp.relation_dom B)) (= (tptp.apply (tptp.relation_composition B C) A) (tptp.apply C (tptp.apply B A)))))))))) (let ((_let_4 (tptp.relation tptp.empty_set))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (forall ((A $$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.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_10 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (tptp.relation_composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_13 (tptp.apply _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_14 (tptp.apply _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (= _let_13 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_9)))) (let ((_let_17 (= _let_14 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_10)))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_19 (not _let_11))) (let ((_let_20 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_21 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_20))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_20))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22 _let_19 _let_18))) (let ((_let_26 (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_27 (not _let_25))) (let ((_let_28 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_29 (= _let_28 _let_26))) (let ((_let_30 (not _let_26))) (let ((_let_31 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_29))) (let ((_let_36 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (= (tptp.one_to_one A) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (not (= (tptp.apply A B) (tptp.apply A C))) (= B C))))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 (tptp.subset (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.one_to_one _let_12))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 _let_34 _let_32 _let_42 _let_40 _let_28))) (let ((_let_48 (forall ((A $$unsorted) (BOUND_VARIABLE_1179 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.relation BOUND_VARIABLE_1179)) (not (tptp.function BOUND_VARIABLE_1179)) (not (tptp.one_to_one (tptp.relation_composition BOUND_VARIABLE_1179 A))) (not (tptp.subset (tptp.relation_rng BOUND_VARIABLE_1179) (tptp.relation_dom A))) (tptp.one_to_one BOUND_VARIABLE_1179))))) (let ((_let_49 (not _let_47))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (or))) (let ((_let_52 (not _let_48))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_50) :args (_let_52))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_48))) (REFL :args (_let_49)) :args _let_51)) _let_50 :args (_let_49 true _let_48)))) (let ((_let_54 (REFL :args (_let_47)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 3)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_51)) :args ((or _let_31 _let_47))) _let_53 :args (_let_31 true _let_47)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 2)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_51)) :args ((or _let_33 _let_47))) _let_53 :args (_let_33 true _let_47)))) (let ((_let_57 (_let_30))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_26))) (REFL :args (_let_27)) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_29)) :args ((or _let_28 _let_30 (not _let_29)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_47 6)) _let_53 :args ((not _let_28) true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 _let_29 (not _let_35)))) _let_56 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args _let_38)) _let_37 :args (_let_35 false _let_36)) :args (_let_29 false _let_33 false _let_31 false _let_35)) :args (_let_30 true _let_28 false _let_29)) :args (_let_27 true _let_26)))) (let ((_let_59 (REFL :args (_let_25)))) (let ((_let_60 (not _let_15))) (let ((_let_61 (tptp.relation_dom _let_12))) (let ((_let_62 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_61))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_61))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63 _let_60 _let_18))) (let ((_let_67 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_2 (tptp.relation_dom _let_1))) (or (not (tptp.in B _let_2)) (not (tptp.in C _let_2)) (not (= (tptp.apply _let_1 B) (tptp.apply _let_1 C))) (= B C))))))) (let ((_let_68 (= _let_41 _let_67))) (let ((_let_69 (tptp.function _let_12))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.relation _let_12))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70 _let_68))) (let ((_let_74 (and _let_71 _let_69))) (let ((_let_75 (or _let_34 _let_32 _let_46 _let_44 _let_74))) (let ((_let_76 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.relation B)) (not (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 1)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_51)) :args ((or _let_43 _let_47))) _let_53 :args (_let_43 true _let_47)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_51)) :args ((or _let_45 _let_47))) _let_53 :args (_let_45 true _let_47)))) (let ((_let_80 (or _let_34 _let_46 _let_71))) (let ((_let_81 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (not (tptp.relation B)) (tptp.relation (tptp.relation_composition A B)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_67))) (let ((_let_84 (= _let_20 _let_61))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 1)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_51)) :args ((or _let_21 _let_25))) _let_58 :args (_let_21 true _let_25)))) (let ((_let_86 (or _let_34 _let_46 _let_40 _let_84))) (let ((_let_87 (forall ((A $$unsorted) (BOUND_VARIABLE_1141 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.relation BOUND_VARIABLE_1141)) (not (tptp.subset (tptp.relation_rng A) (tptp.relation_dom BOUND_VARIABLE_1141))) (= (tptp.relation_dom A) (tptp.relation_dom (tptp.relation_composition A BOUND_VARIABLE_1141))))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_46 _let_34 _let_40 _let_84 (not _let_86)))) _let_79 _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 5)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_51)) :args ((or _let_39 _let_47))) _let_53 :args (_let_39 true _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subset (tptp.relation_rng A) (tptp.relation_dom BOUND_VARIABLE_1141)) false))))) :args (_let_87))) _let_88 :args (_let_86 false _let_87)) :args (_let_84 false _let_45 false _let_33 false _let_39 false _let_86)))) (let ((_let_90 (and _let_84 _let_21))) (let ((_let_91 (ASSUME :args (_let_21)))) (let ((_let_92 (APPLY_UF tptp.in))) (let ((_let_93 (ASSUME :args (_let_84)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_51)) :args ((or _let_23 _let_25))) _let_58 :args (_let_23 true _let_25)))) (let ((_let_96 (and _let_84 _let_23))) (let ((_let_97 (ASSUME :args (_let_23)))) (let ((_let_98 (or _let_34 _let_32 _let_22 _let_46 _let_44 _let_16))) (let ((_let_99 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1110 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.in A (tptp.relation_dom B))) (not (tptp.relation BOUND_VARIABLE_1110)) (not (tptp.function BOUND_VARIABLE_1110)) (= (tptp.apply (tptp.relation_composition B BOUND_VARIABLE_1110) A) (tptp.apply BOUND_VARIABLE_1110 (tptp.apply B A))))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 ((tptp.apply (tptp.relation_composition B BOUND_VARIABLE_1110) A)))) (let ((_let_103 (or _let_34 _let_32 _let_24 _let_46 _let_44 _let_17))) (let ((_let_104 (and _let_11 _let_60 _let_16))) (let ((_let_105 (ASSUME :args (_let_60)))) (let ((_let_106 (ASSUME :args (_let_16)))) (let ((_let_107 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_104)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_105 _let_106 _let_107) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_14)) (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (SYMM (SYMM _let_107)) :args (APPLY_UF tptp.apply)) (SYMM _let_106)) :args (=)) (FALSE_INTRO _let_105))) :args (_let_60 _let_16 _let_11))) :args (_let_11 _let_60 _let_16))) :args (true _let_104)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_15))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_46 _let_44 _let_34 _let_32 _let_24 _let_17 (not _let_103)))) _let_79 _let_78 _let_56 _let_55 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_101)) _let_100 :args (_let_103 false _let_99)) :args (_let_17 false _let_45 false _let_43 false _let_33 false _let_31 false _let_23 false _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_46 _let_44 _let_34 _let_32 _let_22 _let_16 (not _let_98)))) _let_79 _let_78 _let_56 _let_55 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_101)) _let_100 :args (_let_98 false _let_99)) :args (_let_16 false _let_45 false _let_43 false _let_33 false _let_31 false _let_21 false _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_18 _let_65 _let_63 _let_60 (not _let_66)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_25 3)) _let_58 :args ((not _let_18) true _let_25)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_96)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_97 _let_93) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) _let_94 :args _let_92) (TRUE_INTRO _let_97))) :args (_let_23 _let_84))) :args (_let_84 _let_23))) :args (true _let_96)) _let_89 _let_95 :args (_let_64 false _let_84 false _let_23)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_90)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_93) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) _let_94 :args _let_92) (TRUE_INTRO _let_91))) :args (_let_21 _let_84))) :args (_let_84 _let_21))) :args (true _let_90)) _let_89 _let_85 :args (_let_62 false _let_84 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_83) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in B _let_61) false)) (not (= (tptp.in C _let_61) false))))) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_68)) :args ((or _let_42 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 4)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_51)) :args ((or _let_41 _let_47))) _let_53 :args (_let_41 true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_70 _let_68 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_46 _let_34 _let_71 (not _let_80)))) _let_79 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_composition A B)))) :args (_let_81))) _let_82 :args (_let_80 false _let_81)) :args (_let_71 false _let_45 false _let_33 false _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_74 1)) :args ((or _let_69 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_46 _let_44 _let_34 _let_32 _let_74 (not _let_75)))) _let_79 _let_78 _let_56 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_composition A B)))) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_74 false _let_45 false _let_43 false _let_33 false _let_31 false _let_75)) :args (_let_69 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.one_to_one A)))) :args _let_38)) _let_37 :args (_let_73 false _let_36)) :args (_let_68 false _let_71 false _let_69 false _let_73)) :args (_let_67 false _let_41 false _let_68)) :args (_let_66 false _let_67)) :args (_let_60 true _let_18 false _let_64 false _let_62 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 2)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_11))) :args _let_51)) :args ((or _let_11 _let_25))) _let_58 :args (_let_11 true _let_25)) :args (false false _let_17 false _let_16 true _let_15 false _let_11)) :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 $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_rng A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$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 $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) _let_2 _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.61 )
% 0.22/0.61 % SZS output end Proof for SEU014+1
% 0.22/0.61 % cvc5---1.0.5 exiting
% 0.22/0.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------