%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU232+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 16:30:15 EDT 2023

% Result   : Theorem 0.67s 0.89s
% Output   : Proof 0.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU232+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n025.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 18:42:35 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.67/0.89  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OCUxoAprHM/cvc5---1.0.5_6710.p...
% 0.67/0.89  ------- get file name : TPTP file name is SEU232+1
% 0.67/0.89  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6710.smt2...
% 0.67/0.89  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.67/0.89  % SZS status Theorem for SEU232+1
% 0.67/0.89  % SZS output start Proof for SEU232+1
% 0.67/0.89  (
% 0.67/0.89  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.in B C) (tptp.in C A)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))))) (let ((_let_6 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.ordinal B) (=> (tptp.in A B) (tptp.ordinal A))))))) (let ((_let_7 (tptp.relation tptp.empty_set))) (let ((_let_8 (tptp.empty tptp.empty_set))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.epsilon_connected A) (forall ((B $$unsorted) (C $$unsorted)) (not (and (tptp.in B A) (tptp.in C A) (not (tptp.in B C)) (not (= B C)) (not (tptp.in C B))))))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.epsilon_transitive A) (forall ((B $$unsorted)) (=> (tptp.in B A) (tptp.subset B A))))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)) (tptp.ordinal A))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (tptp.ordinal A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_16 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15))) (let ((_let_19 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))))) (let ((_let_20 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_22))) (let ((_let_25 ((tptp.subset A B)))) (let ((_let_26 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_20))) (let ((_let_29 (forall ((B $$unsorted)) (or (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) (tptp.subset B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))))) (let ((_let_30 (tptp.epsilon_transitive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_31 (= _let_30 _let_29))) (let ((_let_32 (forall ((A $$unsorted)) (= (tptp.epsilon_transitive A) (forall ((B $$unsorted)) (or (not (tptp.in B A)) (tptp.subset B A))))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (_let_32))) (let ((_let_35 ((tptp.epsilon_transitive A)))) (let ((_let_36 (tptp.epsilon_connected SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_37 (and _let_30 _let_36))) (let ((_let_38 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37))) (let ((_let_41 (forall ((A $$unsorted)) (or (not (tptp.ordinal A)) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_44 (or _let_39 _let_27 _let_43))) (let ((_let_45 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ordinal B)) (not (tptp.in A B)) (tptp.ordinal A))))) (let ((_let_46 (not _let_44))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (or))) (let ((_let_49 (not _let_45))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_47) :args (_let_49))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_45))) (REFL :args (_let_46)) :args _let_48)) _let_47 :args (_let_46 true _let_45)))) (let ((_let_51 (REFL :args (_let_44)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_37 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 0)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_48)) :args ((or _let_38 _let_44))) _let_50 :args (_let_38 true _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ordinal A) false))))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_37 false _let_38 false _let_40)))) (let ((_let_53 (not _let_37))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_31)) :args ((or (not _let_30) _let_29 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 0)) :args ((or _let_30 _let_53))) _let_52 :args (_let_30 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_34)) _let_33 :args (_let_31 false _let_32)) :args (_let_29 false _let_30 false _let_31)))) (let ((_let_55 (_let_29))) (let ((_let_56 ((not (= (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) false))))) (let ((_let_57 (ASSUME :args _let_55))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 1)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_48)) :args ((or _let_26 _let_44))) _let_50 :args (_let_26 true _let_44)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_21)) :args ((or (not _let_20) _let_19 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_20 (not _let_28)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_28 false _let_29)) :args (_let_20 false _let_26 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_23 :args (_let_21 false _let_22)) :args (_let_19 false _let_20 false _let_21)))) (let ((_let_60 (_let_19))) (let ((_let_61 ((not (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) false))))) (let ((_let_62 (ASSUME :args _let_60))) (let ((_let_63 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_64 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_65 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_66 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_17 _let_67 _let_65 _let_64 _let_63))) (let ((_let_69 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (tptp.in B C) (= B C) (tptp.in C B))))) (let ((_let_70 (not _let_68))) (let ((_let_71 (tptp.epsilon_connected SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_72 (= _let_71 _let_69))) (let ((_let_73 (not _let_69))) (let ((_let_74 (forall ((A $$unsorted)) (= (tptp.epsilon_connected A) (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.in B A)) (not (tptp.in C A)) (tptp.in B C) (= B C) (tptp.in C B))))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_74))) (let ((_let_77 ((tptp.epsilon_connected A)))) (let ((_let_78 (not _let_71))) (let ((_let_79 (tptp.epsilon_transitive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_78 _let_43))) (let ((_let_82 (forall ((A $$unsorted)) (or (not (tptp.epsilon_transitive A)) (not (tptp.epsilon_connected A)) (tptp.ordinal A))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (forall ((B $$unsorted)) (or (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (tptp.subset B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))))) (let ((_let_85 (= _let_79 _let_84))) (let ((_let_86 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_87 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86))) (let ((_let_90 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_91 (or _let_88 _let_90))) (let ((_let_92 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))))) (let ((_let_93 (= _let_86 _let_92))) (let ((_let_94 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_95 (not _let_90))) (let ((_let_96 (or _let_95 _let_94))) (let ((_let_97 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_98 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97))) (let ((_let_101 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))) (let ((_let_102 (= _let_94 _let_101))) (let ((_let_103 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_104 (not _let_101))) (let ((_let_105 (or _let_99 _let_104 _let_103))) (let ((_let_106 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_99))) (let ((_let_109 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_99 _let_88))) (let ((_let_112 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_113 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_114 (not _let_103))) (let ((_let_115 (or _let_114 _let_112 _let_113))) (let ((_let_116 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_117 (not _let_113))) (let ((_let_118 (or _let_117 _let_27 _let_97 _let_116 _let_109))) (let ((_let_119 (not _let_92))) (let ((_let_120 (_let_119))) (let ((_let_121 (_let_3))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in A B)) (not (tptp.element B (tptp.powerset C))) (tptp.element A C))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (not (tptp.in B A)))))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in A B)) (not (tptp.in B C)) (not (tptp.in C A)))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (not _let_112))) (let ((_let_130 (or _let_27 _let_129))) (let ((_let_131 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (not (tptp.empty B)))))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element A B)) (tptp.empty B) (tptp.in A B))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) (tptp.in B C) (= B C) (tptp.in C B))))) (let ((_let_136 (= _let_36 _let_135))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_136)) :args ((or (not _let_36) _let_135 (not _let_136)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_36 _let_53))) _let_52 :args (_let_36 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_136 false _let_74)) :args (_let_135 false _let_36 false _let_136)))) (let ((_let_138 (_let_135))) (let ((_let_139 ((not (= (tptp.in B C) true))))) (let ((_let_140 (ASSUME :args _let_138))) (let ((_let_141 (ASSUME :args (_let_87)))) (let ((_let_142 (ASSUME :args (_let_116)))) (let ((_let_143 (ASSUME :args (_let_107)))) (let ((_let_144 (not _let_84))) (let ((_let_145 (_let_144))) (let ((_let_146 (_let_73))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_146)) :args _let_146)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_69))) (REFL :args (_let_70)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_72)) :args ((or _let_71 _let_73 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_43 _let_80 _let_78 (not _let_81)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_44 2)) _let_50 :args ((not _let_43) true _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_85)) :args ((or _let_79 _let_144 (not _let_85)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_145)) :args _let_145)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_144) _let_84))) (REFL :args ((not _let_89))) :args _let_48)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_141 _let_142 _let_143) :args (_let_87 _let_107 _let_116)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_143)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)) (SYMM _let_142) :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_141))) :args (_let_87 _let_116 _let_107)) :args ((not (and _let_87 _let_107 _let_116)) SB_LITERAL))) (CONG (REFL :args (_let_88)) (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_106))) (REFL :args ((not _let_116))) :args _let_48)) (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_27 _let_97 _let_117 _let_109 _let_116 (not _let_118)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138))) _let_137 :args (_let_118 false _let_135)) _let_58 (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_112 _let_113 _let_114 (not _let_115)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A B) true))))) :args (_let_133))) _let_134 :args (_let_115 false _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_27 _let_129 (not _let_130)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A B) false))))) :args (_let_131))) _let_132 :args (_let_130 false _let_131)) :args (_let_129 false _let_26 false _let_130)) (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_88 _let_99 _let_110 (not _let_111)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in C A) false)) (not (= (tptp.in A B) false))))) :args (_let_127))) _let_128 :args (_let_111 false _let_127)) (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_99 _let_107 (not _let_108)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in B A) false))))) :args (_let_125))) _let_126 :args (_let_108 false _let_125)) (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_99 _let_103 _let_104 (not _let_105)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element A C) true)) (not (= (tptp.in A B) false))))) :args (_let_123))) _let_124 :args (_let_105 false _let_123)) (CNF_OR_NEG :args (_let_100 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 0)) (CONG (REFL :args (_let_100)) (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_98))) :args _let_48)) :args ((or _let_98 _let_100))) (REORDERING (CNF_EQUIV_POS1 :args (_let_102)) :args ((or (not _let_94) _let_101 (not _let_102)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args _let_121))) _let_122 :args (_let_102 false _let_3)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_120)) :args _let_120)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_119) _let_92))) (REFL :args ((not _let_100))) :args _let_48)) (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_94 (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_96 false _let_29)) (REORDERING (CNF_EQUIV_POS2 :args (_let_93)) :args ((or _let_86 _let_119 (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_23 :args (_let_93 false _let_22)) (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_88 _let_90 (not _let_91)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_91 false _let_19)) (CNF_OR_NEG :args (_let_89 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_89 0)) (CONG (REFL :args (_let_89)) (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_87))) :args _let_48)) :args ((or _let_87 _let_89))) :args (_let_89 false _let_116 false _let_118 false _let_26 false _let_113 false _let_115 true _let_112 true _let_109 false _let_111 true _let_106 false _let_108 false _let_103 false _let_105 true _let_97 false _let_98 false _let_101 false _let_102 true _let_100 false _let_94 false _let_96 true _let_92 false _let_93 false _let_90 false _let_91 true _let_86 false _let_87)) :args (_let_84 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_34)) _let_33 :args (_let_85 false _let_32)) :args (_let_79 false _let_84 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ordinal A) true))))) :args (_let_82))) _let_83 :args (_let_81 false _let_82)) :args (_let_78 true _let_43 false _let_79 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_72 false _let_74)) :args (_let_73 true _let_71 false _let_72)) :args (_let_70 true _let_69)))) (let ((_let_148 (REFL :args (_let_68)))) (let ((_let_149 (not _let_15))) (let ((_let_150 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_151 (or _let_67 _let_150))) (let ((_let_152 (not _let_150))) (let ((_let_153 (or _let_149 _let_152 _let_65 _let_64 _let_63))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_15 (not _let_18)))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_65 _let_64 _let_63 _let_149 _let_152 (not _let_153)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138)) _let_137 :args (_let_153 false _let_135)) (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_67 _let_150 (not _let_151)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_151 false _let_19)) (CNF_OR_NEG :args (_let_68 4)) (CNF_OR_NEG :args (_let_68 3)) (CNF_OR_NEG :args (_let_68 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 1)) (CONG _let_148 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args _let_48)) :args ((or _let_66 _let_68))) :args ((or _let_68 _let_149) false _let_153 false _let_150 false _let_151 true _let_63 true _let_64 true _let_65 false _let_66)) _let_147 :args (_let_149 true _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 0)) (CONG _let_148 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_48)) :args ((or _let_16 _let_68))) _let_147 :args (_let_16 true _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_18 false _let_19)) :args (false true _let_15 false _let_16 false _let_18)) :args (_let_14 (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) _let_13 (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted)) (= (tptp.ordinal A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_difference A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (not (tptp.in D B))))))) true true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_8 _let_7 (tptp.relation_empty_yielding tptp.empty_set)) _let_8 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.set_difference A B)))) (and _let_8 _let_7) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$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))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A) (tptp.function A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_6 _let_5 (forall ((A $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)) _let_4 _let_3 (forall ((A $$unsorted)) (= (tptp.set_difference tptp.empty_set A) tptp.empty_set)) _let_2 (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) (forall ((C $$unsorted)) (not (and (tptp.in C B) (forall ((D $$unsorted)) (not (and (tptp.in D B) (tptp.in D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.67/0.89  )
% 0.67/0.89  % SZS output end Proof for SEU232+1
% 0.67/0.89  % cvc5---1.0.5 exiting
% 0.67/0.89  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------