%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU141+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 16:29:30 EDT 2023

% Result   : Theorem 10.93s 11.30s
% Output   : Proof 10.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SEU141+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n019.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Wed Aug 23 14:23:13 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.23/0.52  %----Proving TF0_NAR, FOF, or CNF
% 10.93/11.30  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.SAmQYWoB29/cvc5---1.0.5_4242.p...
% 10.93/11.30  ------- get file name : TPTP file name is SEU141+1
% 10.93/11.30  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4242.smt2...
% 10.93/11.30  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.93/11.30  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.93/11.30  % SZS status Theorem for SEU141+1
% 10.93/11.30  % SZS output start Proof for SEU141+1
% 10.93/11.30  (
% 10.93/11.30  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_difference A B) A)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.disjoint A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (tptp.in C (tptp.set_intersection2 A B)))))) (not (and (exists ((C $$unsorted)) (tptp.in C (tptp.set_intersection2 A B))) _let_1))))))) (let ((_let_3 (forall ((A $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_intersection2 A B) tptp.empty_set))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_difference A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (not (tptp.in D B))))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))))) (let ((_let_10 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10))) (let ((_let_12 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 _let_10))) (let ((_let_14 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (= _let_14 _let_11))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= A (tptp.set_difference A B)))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (or))) (let ((_let_20 (not _let_16))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_18) :args (_let_20))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) (REFL :args (_let_17)) :args _let_19)) _let_18 :args (_let_17 true _let_16)))) (let ((_let_22 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_23 (= tptp.empty_set _let_22))) (let ((_let_24 (= _let_14 _let_23))) (let ((_let_25 (tptp.subset _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10))) (let ((_let_27 (and _let_26 _let_25))) (let ((_let_28 (= _let_11 _let_27))) (let ((_let_29 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_30 (= _let_22 _let_29))) (let ((_let_31 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 tptp.empty_set))) (let ((_let_32 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 _let_29))) (let ((_let_33 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_34 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_35 (and _let_34 _let_33))) (let ((_let_36 (= _let_32 _let_35))) (let ((_let_37 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.in C (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_38 (= _let_26 _let_37))) (let ((_let_39 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 _let_10))) (let ((_let_40 (not _let_33))) (let ((_let_41 (or _let_40 _let_39))) (let ((_let_42 (not _let_14))) (let ((_let_43 (_let_15))) (let ((_let_44 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= tptp.empty_set (tptp.set_intersection2 A B)))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_46)) _let_45 :args (_let_24 false _let_44)))) (let ((_let_48 (not _let_24))) (let ((_let_49 (_let_24))) (let ((_let_50 (_let_8))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10 QUANTIFIERS_INST_ENUM))) (let ((_let_53 (_let_9))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (forall ((D $$unsorted)) (not (tptp.in D tptp.empty_set))))) (let ((_let_56 (not _let_31))) (let ((_let_57 (= tptp.empty_set (tptp.set_difference tptp.empty_set tptp.empty_set)))) (let ((_let_58 (= _let_57 _let_55))) (let ((_let_59 (_let_5))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (tptp.empty_set tptp.empty_set tptp.empty_set QUANTIFIERS_INST_ENUM))) (let ((_let_62 (forall ((A $$unsorted)) (= A (tptp.set_difference A tptp.empty_set))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_55))) (let ((_let_65 (not _let_23))) (let ((_let_66 (and _let_30 _let_23 _let_56))) (let ((_let_67 (ASSUME :args (_let_56)))) (let ((_let_68 (APPLY_UF tptp.in))) (let ((_let_69 (ASSUME :args (_let_23)))) (let ((_let_70 (ASSUME :args (_let_30)))) (let ((_let_71 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_72 (= _let_25 _let_71))) (let ((_let_73 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_77 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 _let_10))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76))) (let ((_let_80 (and _let_76 (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_81 (= _let_77 _let_80))) (let ((_let_82 (forall ((D $$unsorted)) (= (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.in D (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_10 QUANTIFIERS_INST_CBQI_PROP)) :args _let_59))) _let_60 :args (_let_82 false _let_5)))) (let ((_let_84 (_let_82))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (not _let_71))) (let ((_let_87 (_let_86))) (let ((_let_88 (forall ((D $$unsorted)) (= (tptp.in D (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_89 (_let_6))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (_let_88))) (let ((_let_92 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_93 (not _let_37))) (let ((_let_94 (not _let_34))) (let ((_let_95 (and _let_33 _let_94))) (let ((_let_96 (= _let_39 _let_95))) (let ((_let_97 (_let_95))) (let ((_let_98 (_let_93))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_98)) :args _let_98)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_93) _let_37))) (REFL :args ((not _let_41))) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_97) (CONG (REFL :args _let_97) (REFL :args (_let_40)) (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_34))) :args _let_19)) :args ((or _let_40 _let_34 _let_95))) (REORDERING (CNF_EQUIV_POS2 :args (_let_96)) :args ((or _let_39 (not _let_95) (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_85 :args _let_92) :args _let_84))) _let_83 :args (_let_96 false _let_82)) (REORDERING (CNF_AND_NEG :args (_let_35)) :args ((or _let_40 _let_94 _let_35))) (CNF_OR_NEG :args (_let_41 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 0)) (CONG (REFL :args (_let_41)) (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_33))) :args _let_19)) :args ((or _let_33 _let_41))) :args ((or _let_41 _let_35) true _let_95 false _let_96 true _let_34 true _let_39 false _let_33)) (REORDERING (CNF_EQUIV_POS2 :args (_let_38)) :args ((or _let_26 _let_93 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_52) :args _let_75)) _let_74 :args (_let_38 false _let_73)) (REORDERING (CNF_EQUIV_POS2 :args (_let_36)) :args ((or _let_32 (not _let_35) (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_91) :args _let_92) :args _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_89))) _let_90 :args (_let_88 false _let_6)) :args (_let_36 false _let_88)) (CNF_AND_NEG :args (_let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_72)) :args ((or _let_25 _let_86 (not _let_72)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_87)) :args _let_87)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_71))) (REFL :args ((not _let_79))) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_80 0)) :args ((or _let_76 (not _let_80)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_81)) :args ((or _let_78 _let_80 (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84))) _let_83 :args (_let_81 false _let_82)) (CNF_OR_NEG :args (_let_79 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_79 0)) (CONG (REFL :args (_let_79)) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_19)) :args ((or _let_77 _let_79))) :args (_let_79 false _let_80 false _let_81 true _let_76 false _let_77)) :args (_let_71 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_75)) _let_74 :args (_let_72 false _let_73)) :args (_let_25 false _let_71 false _let_72)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_67 _let_69 _let_70) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61)) (TRANS (SYMM _let_70) (SYMM _let_69)) :args _let_68) (FALSE_INTRO _let_67))) :args (_let_56 _let_23 _let_30))) :args (_let_30 _let_23 _let_56))) :args (true _let_66)) (CONG (REFL :args ((not _let_30))) (REFL :args (_let_65)) (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_31))) (REFL :args ((not _let_32))) :args _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_64) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 QUANTIFIERS_INST_ENUM)) :args _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or _let_55 (not _let_57) (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_62))) _let_63 :args (_let_57 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args _let_61) :args _let_59))) _let_60 :args (_let_58 false _let_5)) :args (_let_55 false _let_57 false _let_58)) :args (_let_56 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_53)) _let_54 :args (_let_30 false _let_9)) (REORDERING (CNF_EQUIV_POS2 :args (_let_28)) :args ((or _let_11 (not _let_27) (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args _let_52) :args _let_50)) _let_51 :args (_let_28 false _let_8)) (REORDERING (CNF_EQUIV_POS1 :args _let_49) :args ((or _let_42 _let_23 _let_48))) _let_47 (CNF_EQUIV_NEG2 :args _let_43) _let_21 :args (_let_42 false _let_41 true _let_37 false _let_38 true _let_35 false _let_36 true _let_26 false _let_25 true _let_32 true _let_31 false _let_30 true _let_27 false _let_28 false _let_23 false _let_24 true _let_11 true _let_15)))) (let ((_let_100 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_101 (and _let_100 _let_12))) (let ((_let_102 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 tptp.empty_set))) (let ((_let_103 (= _let_102 _let_101))) (let ((_let_104 (forall ((D $$unsorted)) (= (tptp.in D tptp.empty_set) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_105 (not _let_103))) (let ((_let_106 (forall ((D $$unsorted)) (= (tptp.in D tptp.empty_set) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_107 (not _let_104))) (let ((_let_108 (= _let_23 _let_106))) (let ((_let_109 (not _let_106))) (let ((_let_110 (_let_107))) (let ((_let_111 (tptp.set_intersection2 tptp.empty_set tptp.empty_set))) (let ((_let_112 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 _let_111))) (let ((_let_113 (= tptp.empty_set _let_111))) (let ((_let_114 (not _let_102))) (let ((_let_115 (tptp.disjoint tptp.empty_set tptp.empty_set))) (let ((_let_116 (not _let_115))) (let ((_let_117 (not _let_112))) (let ((_let_118 (or _let_117 _let_116))) (let ((_let_119 (forall ((BOUND_VARIABLE_824 $$unsorted) (BOUND_VARIABLE_826 $$unsorted) (BOUND_VARIABLE_838 $$unsorted)) (or (not (tptp.in BOUND_VARIABLE_838 (tptp.set_intersection2 BOUND_VARIABLE_824 BOUND_VARIABLE_826))) (not (tptp.disjoint BOUND_VARIABLE_824 BOUND_VARIABLE_826)))))) (let ((_let_120 (_let_119))) (let ((_let_121 (= _let_115 _let_113))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_90 :args _let_61) :args _let_89))) _let_90 :args (_let_113 false _let_6)))) (let ((_let_123 (not _let_113))) (let ((_let_124 (and _let_113 _let_117))) (let ((_let_125 (ASSUME :args (_let_117)))) (let ((_let_126 (ASSUME :args (_let_113)))) (let ((_let_127 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_103)) :args ((or _let_102 _let_101 _let_103))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_124)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_125 _let_126) (SCOPE (FALSE_ELIM (TRANS (CONG _let_127 (SYMM (SYMM _let_126)) :args _let_68) (FALSE_INTRO _let_125))) :args (_let_117 _let_113))) :args (_let_113 _let_117))) :args (true _let_124)) (CONG (REFL :args (_let_123)) (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_112))) (REFL :args (_let_114)) :args _let_19)) :args ((or _let_123 _let_114 _let_112))) _let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_116 _let_117 (not _let_118)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_121)) :args ((or _let_115 _let_123 (not _let_121)))) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.empty_set tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_45 :args (_let_121 false _let_44)) :args (_let_115 false _let_113 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_120) :args (tptp.empty_set tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_120)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args (1)) :args (_let_118 false _let_119)) :args (_let_117 false _let_115 false _let_118)) :args (_let_114 false _let_113 true _let_112)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_110)) :args _let_110)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_104))) (REFL :args (_let_105)) :args _let_19)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (MACRO_SR_PRED_INTRO :args ((= _let_104 _let_106) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_108)) :args ((or _let_23 _let_109 (not _let_108)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_49) :args ((or 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(MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_137)) (CONG _let_127 (SYMM (SYMM _let_136)) :args _let_68) (FALSE_INTRO _let_135))) :args (_let_133 _let_11 _let_12)) :args ((not (and _let_11 _let_12 _let_133)) SB_LITERAL))) (CONG (REFL :args ((not _let_11))) (REFL :args ((not _let_12))) (MACRO_SR_PRED_INTRO :args ((= (not _let_133) _let_13))) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_132)) :args ((or _let_131 _let_133 (not _let_132)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_131 1)) :args ((or _let_130 _let_134))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 0)) :args ((or _let_100 _let_129))) _let_128 :args (_let_100 false _let_101)) :args (_let_134 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) _let_83 :args (_let_132 false _let_82)) :args (_let_133 true _let_131 false _let_132)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 1)) :args ((or _let_12 _let_129))) _let_128 :args (_let_12 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_43) :args ((or _let_14 _let_11 _let_15))) _let_99 _let_21 :args (_let_11 true _let_14 true _let_15)) :args (false true _let_13 false _let_12 false _let_11)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 true true true (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.disjoint A B) (tptp.disjoint B A))) (forall ((A $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) _let_3 (forall ((A $$unsorted)) (= (tptp.set_difference tptp.empty_set A) tptp.empty_set)) _let_2 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.93/11.30  )
% 10.93/11.30  % SZS output end Proof for SEU141+1
% 10.93/11.30  % cvc5---1.0.5 exiting
% 10.93/11.31  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------