%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU360+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 16:31:10 EDT 2023

% Result   : Theorem 0.21s 0.60s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU360+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.17/0.35  % Computer : n022.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Thu Aug 24 01:29:56 EDT 2023
% 0.17/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.60  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.WdY6mAYReh/cvc5---1.0.5_29636.p...
% 0.21/0.60  ------- get file name : TPTP file name is SEU360+1
% 0.21/0.60  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29636.smt2...
% 0.21/0.60  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.60  % SZS status Theorem for SEU360+1
% 0.21/0.60  % SZS output start Proof for SEU360+1
% 0.21/0.60  (
% 0.21/0.60  (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (and (tptp.relstr_set_smaller A tptp.empty_set B) (tptp.relstr_element_smaller A tptp.empty_set B)))))))) (let ((_let_2 (not (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.antisymmetric_relstr A) (tptp.lower_bounded_relstr A) (tptp.rel_str A)) (and (tptp.ex_sup_of_relstr_set A tptp.empty_set) (tptp.ex_inf_of_relstr_set A (tptp.the_carrier A)))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (tptp.antisymmetric_relstr A) (tptp.rel_str A)) (forall ((B $$unsorted)) (= (tptp.ex_inf_of_relstr_set A B) (exists ((C $$unsorted)) (and (tptp.element C (tptp.the_carrier A)) (tptp.relstr_element_smaller A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.relstr_element_smaller A B D) (tptp.related A D C)))))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (tptp.antisymmetric_relstr A) (tptp.rel_str A)) (forall ((B $$unsorted)) (= (tptp.ex_sup_of_relstr_set A B) (exists ((C $$unsorted)) (and (tptp.element C (tptp.the_carrier A)) (tptp.relstr_set_smaller A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.relstr_set_smaller A B D) (tptp.related A C D)))))))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (not (tptp.empty (tptp.the_carrier A))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (tptp.one_sorted_str A))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (= (tptp.relstr_element_smaller A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.in D B) (tptp.related A C D))))))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (= (tptp.lower_bounded_relstr A) (exists ((B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (and (tptp.element B _let_1) (tptp.relstr_element_smaller A _let_1 B))))))))) (let ((_let_10 (forall ((D $$unsorted)) (let ((_let_1 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.element D _let_1)) (not (tptp.in D _let_1)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 D)))))) (let ((_let_11 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_12 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_13 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_12))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_12))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14 _let_11))) (let ((_let_18 (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_19 (= _let_18 _let_10))) (let ((_let_20 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_12))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.rel_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_19))) (let ((_let_25 (forall ((A $$unsorted) (BOUND_VARIABLE_863 $$unsorted) (BOUND_VARIABLE_861 $$unsorted)) (or (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_863 (tptp.the_carrier A))) (= (tptp.relstr_element_smaller A BOUND_VARIABLE_861 BOUND_VARIABLE_863) (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.in D BOUND_VARIABLE_861)) (tptp.related A BOUND_VARIABLE_863 D)))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_25))) (let ((_let_28 ((tptp.relstr_element_smaller A BOUND_VARIABLE_861 BOUND_VARIABLE_863)))) (let ((_let_29 (not _let_18))) (let ((_let_30 (or _let_21 _let_29 _let_11))) (let ((_let_31 (forall ((D $$unsorted)) (let ((_let_1 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.element D _let_1)) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_1 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (not _let_31))) (let ((_let_34 (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_16 _let_35 _let_33))) (let ((_let_37 (forall ((C $$unsorted)) (let ((_let_1 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.element C _let_1)) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_1 C)) (not (forall ((D $$unsorted)) (let ((_let_1 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.element D _let_1)) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_1 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D C)))))))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.ex_inf_of_relstr_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_12))) (let ((_let_40 (= _let_39 _let_38))) (let ((_let_41 (tptp.antisymmetric_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_23 _let_40))) (let ((_let_44 (forall ((A $$unsorted) (BOUND_VARIABLE_997 $$unsorted)) (or (not (tptp.antisymmetric_relstr A)) (not (tptp.rel_str A)) (= (tptp.ex_inf_of_relstr_set A BOUND_VARIABLE_997) (not (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.the_carrier A))) (not (tptp.relstr_element_smaller A BOUND_VARIABLE_997 C)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.relstr_element_smaller A BOUND_VARIABLE_997 D)) (tptp.related A D C)))))))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (tptp.ex_sup_of_relstr_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set))) (let ((_let_47 (and _let_46 _let_39))) (let ((_let_48 (tptp.lower_bounded_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.empty_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_51 (or _let_50 _let_42 _let_49 _let_23 _let_47))) (let ((_let_52 (forall ((A $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.antisymmetric_relstr A)) (not (tptp.lower_bounded_relstr A)) (not (tptp.rel_str A)) (and (tptp.ex_sup_of_relstr_set A tptp.empty_set) (tptp.ex_inf_of_relstr_set A (tptp.the_carrier A))))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (or))) (let ((_let_56 (not _let_52))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_54) :args (_let_56))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_52))) (REFL :args (_let_53)) :args _let_55)) _let_54 :args (_let_53 true _let_52)))) (let ((_let_58 (REFL :args (_let_51)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 3)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_55)) :args ((or _let_22 _let_51))) _let_57 :args (_let_22 true _let_51)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 1)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_55)) :args ((or _let_41 _let_51))) _let_57 :args (_let_41 true _let_51)))) (let ((_let_61 (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set C)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C D)))))))) (let ((_let_62 (not _let_61))) (let ((_let_63 (= _let_46 _let_62))) (let ((_let_64 (or _let_42 _let_23 _let_63))) (let ((_let_65 (forall ((A $$unsorted) (BOUND_VARIABLE_953 $$unsorted)) (or (not (tptp.antisymmetric_relstr A)) (not (tptp.rel_str A)) (= (tptp.ex_sup_of_relstr_set A BOUND_VARIABLE_953) (not (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.the_carrier A))) (not (tptp.relstr_set_smaller A BOUND_VARIABLE_953 C)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.relstr_set_smaller A BOUND_VARIABLE_953 D)) (tptp.related A C D)))))))))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D))))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_16 _let_70 _let_68))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_74 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_12))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) _let_73))) (let ((_let_77 (tptp.empty _let_12))) (let ((_let_78 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_12))) (let ((_let_79 (or _let_75 _let_77 _let_78))) (let ((_let_80 (not _let_78))) (let ((_let_81 (or _let_75 _let_80 _let_73))) (let ((_let_82 (not _let_77))) (let ((_let_83 (tptp.one_sorted_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_50 _let_84 _let_82))) (let ((_let_86 (forall ((A $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.one_sorted_str A)) (not (tptp.empty (tptp.the_carrier A))))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (or _let_23 _let_83))) (let ((_let_89 (forall ((A $$unsorted)) (or (not (tptp.rel_str A)) (tptp.one_sorted_str A))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_50 _let_84 _let_82 (not _let_85)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 0)) _let_57 :args ((not _let_50) true _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_23 _let_83 (not _let_88)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rel_str A) false))))) :args (_let_89))) _let_90 :args (_let_88 false _let_89)) :args (_let_83 false _let_22 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.empty_carrier A) true))))) :args (_let_86))) _let_87 :args (_let_85 false _let_86)) :args (_let_82 true _let_50 false _let_83 false _let_85)))) (let ((_let_92 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element A B)) (tptp.empty B) (tptp.in A B))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_92))) (let ((_let_95 ((not (= (tptp.element A B) false))))) (let ((_let_96 (forall ((D $$unsorted)) (let ((_let_1 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.element D _let_1)) (not (tptp.in D _let_1)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D)))))) (let ((_let_97 (= _let_34 _let_96))) (let ((_let_98 (or _let_23 _let_16 _let_97))) (let ((_let_99 (or _let_16 _let_35))) (let ((_let_100 (forall ((B $$unsorted)) (let ((_let_1 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.element B _let_1)) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_1 B))))))) (let ((_let_101 (not _let_99))) (let ((_let_102 (not _let_100))) (let ((_let_103 (= _let_48 _let_102))) (let ((_let_104 (or _let_23 _let_103))) (let ((_let_105 (forall ((A $$unsorted)) (or (not (tptp.rel_str A)) (= (tptp.lower_bounded_relstr A) (not (forall ((B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.element B _let_1)) (not (tptp.relstr_element_smaller A _let_1 B))))))))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_102))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_107)) :args _let_107)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_100))) (REFL :args (_let_101)) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_103)) :args ((or _let_49 _let_102 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 2)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_55)) :args ((or _let_48 _let_51))) _let_57 :args (_let_48 true _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_23 _let_103 (not _let_104)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.lower_bounded_relstr A)))) :args (_let_105))) _let_106 :args (_let_104 false _let_105)) :args (_let_103 false _let_22 false _let_104)) :args (_let_102 false _let_48 false _let_103)) :args (_let_101 true _let_100)))) (let ((_let_109 (REFL :args (_let_99)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 0)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_55)) :args ((or _let_15 _let_99))) _let_108 :args (_let_15 true _let_99)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 1)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_55)) :args ((or _let_34 _let_99))) _let_108 :args (_let_34 true _let_99)))) (let ((_let_112 (_let_96))) (let ((_let_113 ((not (= (tptp.element D _let_12) false))))) (let ((_let_114 (_let_68))) (let ((_let_115 (and _let_69 (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_116 (or _let_23 _let_16 _let_115))) (let ((_let_117 (forall ((A $$unsorted) (BOUND_VARIABLE_1047 $$unsorted)) (or (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_1047 (tptp.the_carrier A))) (and (tptp.relstr_set_smaller A tptp.empty_set BOUND_VARIABLE_1047) (tptp.relstr_element_smaller A tptp.empty_set BOUND_VARIABLE_1047)))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_61))) (let ((_let_120 (not _let_63))) (let ((_let_121 (not _let_40))) (let ((_let_122 (_let_37))) (let ((_let_123 (_let_33))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_123)) :args _let_123)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_31))) (REFL :args (_let_32)) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_16 _let_35 _let_33 (not _let_36)))) _let_110 _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_122) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element C _let_12) false))))) :args _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_40)) (CONG (REFL :args (_let_121)) (REFL :args (_let_39)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_55)) :args ((or _let_39 _let_37 _let_121))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_47)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 4)) _let_57 :args ((not _let_47) true _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_63)) (CONG (REFL :args (_let_120)) (REFL :args (_let_46)) (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_55)) :args ((or _let_46 _let_61 _let_120))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_119) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element C _let_12) false))))) :args _let_119)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_16 _let_70 _let_68 _let_72))) _let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_115 0)) :args ((or _let_69 (not _let_115)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_23 _let_16 _let_115 (not _let_116)))) _let_59 _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_1047 (tptp.the_carrier A)) false))))) :args (_let_117))) _let_118 :args (_let_116 false _let_117)) :args (_let_115 false _let_22 false _let_15 false _let_116)) :args (_let_69 false _let_115)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_114)) :args _let_114)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) (REFL :args ((not _let_76))) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_75 _let_73 _let_80 (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_112) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_97)) :args ((or _let_35 _let_96 (not _let_97)))) _let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_23 _let_16 _let_97 (not _let_98)))) _let_59 _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_98 false _let_25)) :args (_let_97 false _let_22 false _let_15 false _let_98)) :args (_let_96 false _let_34 false _let_97)) :args (_let_81 false _let_96)) (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_77 _let_75 _let_78 (not _let_79)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_79 false _let_92)) _let_91 (CNF_OR_NEG :args (_let_76 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 0)) (CONG (REFL :args (_let_76)) (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_55)) :args ((or _let_74 _let_76))) :args (_let_76 false _let_81 false _let_78 false _let_79 true _let_77 true _let_73 false _let_74)) :args (_let_67 false _let_76)) :args (_let_72 false _let_15 false _let_69 false _let_67)) :args (_let_62 true _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_42 _let_23 _let_63 (not _let_64)))) _let_60 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ex_sup_of_relstr_set A BOUND_VARIABLE_953)))) :args (_let_65))) _let_66 :args (_let_64 false _let_65)) :args (_let_63 false _let_41 false _let_22 false _let_64)) :args (_let_46 true _let_61 false _let_63)) :args ((not _let_39) true _let_47 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_23 _let_40 (not _let_43)))) _let_60 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ex_inf_of_relstr_set A BOUND_VARIABLE_997)))) :args (_let_44))) _let_45 :args (_let_43 false _let_44)) :args (_let_40 false _let_41 false _let_22 false _let_43)) :args (_let_37 true _let_39 false _let_40)) :args (_let_36 false _let_37)) :args (_let_33 false _let_15 false _let_34 false _let_36)) :args (_let_32 true _let_31)))) (let ((_let_125 (REFL :args (_let_30)))) (let ((_let_126 (not _let_17))) (let ((_let_127 (or _let_16 _let_77 _let_13))) (let ((_let_128 (_let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_128) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_128)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_14 _let_11 _let_126))) _let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_77 _let_16 _let_13 (not _let_127)))) _let_91 _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_127 false _let_92)) :args (_let_13 true _let_77 false _let_15 false _let_127)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 2)) _let_124 :args ((not _let_11) true _let_30)) :args (_let_126 false _let_15 false _let_13 true _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_19)) :args ((or _let_29 _let_10 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 1)) (CONG _let_125 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_18))) :args _let_55)) :args ((or _let_18 _let_30))) _let_124 :args (_let_18 true _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 _let_19 (not _let_24)))) _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG _let_125 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_55)) :args ((or _let_20 _let_30))) _let_124 :args (_let_20 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_24 false _let_25)) :args (_let_19 false _let_22 false _let_20 false _let_24)) :args (_let_10 false _let_18 false _let_19)) :args (false true _let_17 false _let_10)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.finite A))) _let_9 _let_8 true _let_7 true true true (exists ((A $$unsorted)) (tptp.rel_str A)) (exists ((A $$unsorted)) (tptp.one_sorted_str A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) _let_6 (tptp.empty tptp.empty_set) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.finite A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.one_sorted_str A) (not (tptp.empty_carrier A)))) _let_5 _let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_3 _let_2 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.60  )
% 0.21/0.60  % SZS output end Proof for SEU360+1
% 0.21/0.60  % cvc5---1.0.5 exiting
% 0.21/0.61  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------