TSTP Solution File: SEU072+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU072+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:29:12 EDT 2023
% Result : Theorem 25.66s 26.07s
% Output : Proof 25.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU072+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 20:21:18 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 25.66/26.07 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.jQuu5qksXl/cvc5---1.0.5_7776.p...
% 25.66/26.07 ------- get file name : TPTP file name is SEU072+1
% 25.66/26.07 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7776.smt2...
% 25.66/26.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.66/26.07 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.66/26.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.66/26.07 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.66/26.07 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.66/26.07 % SZS status Theorem for SEU072+1
% 25.66/26.07 % SZS output start Proof for SEU072+1
% 25.66/26.07 (
% 25.66/26.07 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset (tptp.singleton A) (tptp.singleton B)) (= A B))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton B))) (= (tptp.subset A _let_1) (or (= A tptp.empty_set) (= A _let_1))))))) (let ((_let_3 (not (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (=> (forall ((B $$unsorted)) (tptp.subset (tptp.relation_inverse_image A (tptp.relation_image A B)) B)) (tptp.one_to_one A))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (= (tptp.in A (tptp.relation_rng B)) (not (= (tptp.relation_inverse_image B (tptp.singleton A)) tptp.empty_set))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (=> (tptp.in A (tptp.relation_dom B)) (= (tptp.relation_image B (tptp.singleton A)) (tptp.singleton (tptp.apply B A)))))))) (let ((_let_6 (tptp.relation tptp.empty_set))) (let ((_let_7 (tptp.empty tptp.empty_set))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (= (tptp.one_to_one A) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (and (tptp.in B _let_1) (tptp.in C _let_1) (= (tptp.apply A B) (tptp.apply A C))) (= B C))))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted)) (= (= B (tptp.relation_rng A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (and (tptp.in D (tptp.relation_dom A)) (= C (tptp.apply A D)))))))))))) (let ((_let_10 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_11 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_12 (= _let_11 _let_10))) (let ((_let_13 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_14 (tptp.relation_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_13))) (let ((_let_15 (= _let_14 (tptp.singleton _let_11)))) (let ((_let_16 (tptp.singleton _let_10))) (let ((_let_17 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_18 (tptp.relation_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_17))) (let ((_let_19 (= _let_18 _let_16))) (let ((_let_20 (tptp.relation_inverse_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_14))) (let ((_let_21 (tptp.subset _let_20 _let_13))) (let ((_let_22 (= _let_13 _let_20))) (let ((_let_23 (tptp.relation_inverse_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_18))) (let ((_let_24 (= _let_17 _let_23))) (let ((_let_25 (tptp.subset _let_13 _let_17))) (let ((_let_26 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_27 (not _let_12))) (let ((_let_28 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_29 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_28))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_28))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_27 _let_26))) (let ((_let_34 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (not (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 B) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 C))) (= B C)))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_37 (= _let_36 _let_34))) (let ((_let_38 (not _let_34))) (let ((_let_39 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_37))) (let ((_let_44 (forall ((A $$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_45 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (forall ((B $$unsorted)) (tptp.subset (tptp.relation_inverse_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 (tptp.relation_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 B)) B)))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_42 _let_40 _let_47 _let_36))) (let ((_let_49 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (forall ((B $$unsorted)) (tptp.subset (tptp.relation_inverse_image A (tptp.relation_image A B)) B))) (tptp.one_to_one A))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (or))) (let ((_let_53 (not _let_49))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_51) :args (_let_53))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_49))) (REFL :args (_let_50)) :args _let_52)) _let_51 :args (_let_50 true _let_49)))) (let ((_let_55 (REFL :args (_let_48)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_52)) :args ((or _let_39 _let_48))) _let_54 :args (_let_39 true _let_48)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 0)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_52)) :args ((or _let_41 _let_48))) _let_54 :args (_let_41 true _let_48)))) (let ((_let_58 (_let_38))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_58)) :args _let_58)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_34))) (REFL :args (_let_35)) :args _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_37)) :args ((or _let_36 _let_38 (not _let_37)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 3)) _let_54 :args ((not _let_36) true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_40 _let_37 (not _let_43)))) _let_57 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_44))) _let_45 :args (_let_43 false _let_44)) :args (_let_37 false _let_41 false _let_39 false _let_43)) :args (_let_38 true _let_36 false _let_37)) :args (_let_35 true _let_34)))) (let ((_let_60 (REFL :args (_let_33)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 2)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_12))) :args _let_52)) :args ((or _let_12 _let_33))) _let_59 :args (_let_12 true _let_33)))) (let ((_let_62 (or _let_42 _let_40 _let_32 _let_15))) (let ((_let_63 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.in A (tptp.relation_dom B))) (= (tptp.relation_image B (tptp.singleton A)) (tptp.singleton (tptp.apply B A))))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (_let_63))) (let ((_let_66 ((not (= (tptp.in A (tptp.relation_dom B)) false))))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_52)) :args ((or _let_31 _let_33))) _let_59 :args (_let_31 true _let_33)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_42 _let_40 _let_32 _let_15 (not _let_62)))) _let_57 _let_56 _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_65)) _let_64 :args (_let_62 false _let_63)) :args (_let_15 false _let_41 false _let_39 false _let_31 false _let_62)))) (let ((_let_69 (or _let_42 _let_40 _let_30 _let_19))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_42 _let_40 _let_30 _let_19 (not _let_69)))) _let_57 _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 1)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_52)) :args ((or _let_29 _let_33))) _let_59 :args (_let_29 true _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_65)) _let_64 :args (_let_69 false _let_63)) :args (_let_19 false _let_41 false _let_39 false _let_29 false _let_69)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 2)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_52)) :args ((or _let_46 _let_48))) _let_54 :args (_let_46 true _let_48)))) (let ((_let_72 (_let_46))) (let ((_let_73 ((tptp.relation_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 B)))) (let ((_let_74 (ASSUME :args _let_72))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_72)) _let_71 :args (_let_21 false _let_46)))) (let ((_let_76 (= tptp.empty_set _let_20))) (let ((_let_77 (or _let_76 _let_22))) (let ((_let_78 (= _let_21 _let_77))) (let ((_let_79 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton B))) (= (tptp.subset A _let_1) (or (= tptp.empty_set A) (= A _let_1))))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (_let_79))) (let ((_let_82 (not _let_21))) (let ((_let_83 (= tptp.empty_set (tptp.relation_inverse_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_16)))) (let ((_let_84 (not _let_76))) (let ((_let_85 (not _let_83))) (let ((_let_86 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_87 (tptp.in _let_10 _let_86))) (let ((_let_88 (= _let_87 _let_85))) (let ((_let_89 (or _let_42 _let_88))) (let ((_let_90 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (= (tptp.in A (tptp.relation_rng B)) (not (= tptp.empty_set (tptp.relation_inverse_image B (tptp.singleton A))))))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (not (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 D))))))) (let ((_let_93 (not _let_92))) (let ((_let_94 (= _let_87 _let_93))) (let ((_let_95 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (not (= C (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 D)))))) (tptp.in C (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))))) (let ((_let_96 (or _let_42 _let_40 _let_95))) (let ((_let_97 (forall ((A $$unsorted) (BOUND_VARIABLE_986 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (= (= (tptp.relation_rng A) BOUND_VARIABLE_986) (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom A))) (not (= C (tptp.apply A D)))))) (tptp.in C BOUND_VARIABLE_986)))))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (_let_95))) (let ((_let_100 (or _let_32 _let_27))) (let ((_let_101 (not _let_100))) (let ((_let_102 (_let_92))) (let ((_let_103 (not _let_94))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_88)) :args ((or _let_85 (not _let_87) (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_94)) (CONG (REFL :args (_let_103)) (REFL :args (_let_87)) (MACRO_SR_PRED_INTRO :args ((= (not _let_93) _let_92))) :args _let_52)) :args ((or _let_87 _let_92 _let_103))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_102) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_102))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_32 _let_27 _let_101))) _let_67 _let_61 :args (_let_101 false _let_31 false _let_12)) :args (_let_93 true _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_99) :args (_let_10 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_42 _let_40 _let_95 (not _let_96)))) _let_57 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_86 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_97)))) _let_98 :args (_let_96 false _let_97)) :args (_let_95 false _let_41 false _let_39 false _let_96)) :args (_let_94 false _let_95)) :args (_let_87 true _let_92 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_42 _let_88 (not _let_89)))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING ((tptp.relation_inverse_image B (tptp.singleton A))))) :args (_let_90))) _let_91 :args (_let_89 false _let_90)) :args (_let_88 false _let_41 false _let_89)) :args (_let_85 false _let_87 false _let_88)))) (let ((_let_105 (not _let_15))) (let ((_let_106 (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_83))))) (let ((_let_107 (REFL :args (_let_105)))) (let ((_let_108 (REFL :args (_let_27)))) (let ((_let_109 (and _let_12 _let_15 _let_85))) (let ((_let_110 (ASSUME :args (_let_85)))) (let ((_let_111 (FALSE_INTRO _let_110))) (let ((_let_112 (=))) (let ((_let_113 (APPLY_UF tptp.relation_inverse_image))) (let ((_let_114 (ASSUME :args (_let_12)))) (let ((_let_115 (CONG (SYMM (SYMM _let_114)) :args (APPLY_UF tptp.singleton)))) (let ((_let_116 (ASSUME :args (_let_15)))) (let ((_let_117 (SYMM _let_116))) (let ((_let_118 (SYMM _let_117))) (let ((_let_119 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_120 (CONG _let_119 (TRANS _let_118 _let_115) :args _let_113))) (let ((_let_121 (REFL :args (tptp.empty_set)))) (let ((_let_122 (= tptp.empty_set _let_23))) (let ((_let_123 (or _let_122 _let_24))) (let ((_let_124 (tptp.subset _let_23 _let_17))) (let ((_let_125 (= _let_124 _let_123))) (let ((_let_126 (not _let_122))) (let ((_let_127 (not _let_19))) (let ((_let_128 (REFL :args (_let_127)))) (let ((_let_129 (and _let_12 _let_15 _let_19 _let_85))) (let ((_let_130 (ASSUME :args (_let_19)))) (let ((_let_131 (SYMM _let_130))) (let ((_let_132 (not _let_25))) (let ((_let_133 (or _let_132 _let_26))) (let ((_let_134 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.subset (tptp.singleton A) (tptp.singleton B))) (= A B))))) (let ((_let_135 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_136 (ASSUME :args (_let_132)))) (let ((_let_137 (ASSUME :args (_let_24)))) (let ((_let_138 (ASSUME :args (_let_22)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_136 _let_138 _let_116 _let_114 _let_130 _let_137 _let_140) :args (_let_12 _let_15 _let_19 _let_21 _let_22 _let_24 _let_132)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_140)) (CONG _let_139 (TRANS (SYMM _let_139) (CONG _let_119 (TRANS _let_118 _let_115 _let_131) :args _let_113) (SYMM _let_137)) :args (APPLY_UF tptp.subset)) (FALSE_INTRO _let_136))) :args (_let_132 _let_22 _let_15 _let_12 _let_19 _let_24 _let_21)) :args ((not (and _let_12 _let_15 _let_19 _let_21 _let_22 _let_24 _let_132)) SB_LITERAL))) (CONG _let_108 _let_107 _let_128 (REFL :args (_let_82)) (REFL :args ((not _let_22))) (REFL :args ((not _let_24))) (MACRO_SR_PRED_INTRO :args ((= (not _let_132) _let_25))) :args _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_26 _let_132 (not _let_133)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_33 3)) _let_59 :args ((not _let_26) true _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_134))) _let_135 :args (_let_133 false _let_134)) :args (_let_132 true _let_26 false _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_122 _let_24 (not _let_123)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_129)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_110 _let_114 _let_116 _let_130) (SCOPE (FALSE_ELIM (TRANS (CONG _let_121 (TRANS (CONG _let_119 (TRANS (SYMM _let_131) (SYMM _let_115) _let_117) :args _let_113) _let_120) :args _let_112) _let_111)) :args (_let_85 _let_12 _let_15 _let_19))) :args (_let_12 _let_15 _let_19 _let_85))) :args (true _let_129)) (CONG _let_108 _let_107 _let_128 _let_106 (REFL :args (_let_126)) :args _let_52)) :args ((or _let_27 _let_105 _let_127 _let_126 _let_83))) _let_61 _let_68 _let_70 _let_104 :args (_let_126 false _let_12 false _let_15 false _let_19 true _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_125)) :args ((or (not _let_124) _let_123 (not _let_125)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_72)) _let_71 :args (_let_124 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_81))) _let_80 :args (_let_125 false _let_79)) :args (_let_123 false _let_124 false _let_125)) :args (_let_24 true _let_122 false _let_123)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_22 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_109)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_114 _let_110) (SCOPE (FALSE_ELIM (TRANS (CONG _let_121 _let_120 :args _let_112) _let_111)) :args (_let_15 _let_12 _let_85))) :args (_let_12 _let_15 _let_85))) :args (true _let_109)) (CONG _let_108 _let_107 _let_106 (REFL :args (_let_84)) :args _let_52)) :args ((or _let_27 _let_105 _let_84 _let_83))) _let_61 _let_68 _let_104 :args (_let_84 false _let_12 false _let_15 true _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_78)) :args ((or _let_82 _let_77 (not _let_78)))) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_81))) _let_80 :args (_let_78 false _let_79)) :args (_let_77 false _let_21 false _let_78)) :args (_let_22 true _let_76 false _let_77)) _let_75 _let_70 _let_68 _let_61 :args (false true _let_25 false _let_24 false _let_22 false _let_21 false _let_19 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))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_9 _let_8 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_7 _let_6 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_7 (forall ((A $$unsorted)) (not (tptp.empty (tptp.singleton A)))) (and _let_7 _let_6) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_rng A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$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 $$unsorted)) (tptp.subset A A)) _let_5 _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_2 (forall ((A $$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 $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.66/26.07 )
% 25.66/26.07 % SZS output end Proof for SEU072+1
% 25.66/26.07 % cvc5---1.0.5 exiting
% 25.66/26.07 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------