%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU109+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 16:29:17 EDT 2023

% Result   : Theorem 31.12s 32.06s
% Output   : Proof 31.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU109+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Wed Aug 23 12:51:46 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 31.12/32.06  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.EJqnPx83ht/cvc5---1.0.5_11721.p...
% 31.12/32.06  ------- get file name : TPTP file name is SEU109+1
% 31.12/32.06  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11721.smt2...
% 31.12/32.06  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 31.12/32.06  --- Run --no-e-matching --full-saturate-quant at 5...
% 31.12/32.06  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 31.12/32.06  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 31.12/32.06  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 31.12/32.06  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 31.12/32.06  % SZS status Theorem for SEU109+1
% 31.12/32.06  % SZS output start Proof for SEU109+1
% 31.12/32.06  (
% 31.12/32.06  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))))) (let ((_let_3 (not (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.preboolean A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.set_intersection2 A B))) (=> (and (not (tptp.empty B)) (tptp.preboolean B)) (and (not (tptp.empty _let_1)) (tptp.preboolean _let_1)))))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.preboolean A)) (tptp.in tptp.empty_set A))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.preboolean A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.in B A) (tptp.in C A)) (and (tptp.in (tptp.set_union2 B C) A) (tptp.in (tptp.set_difference B C) A)))))))) (let ((_let_6 (tptp.empty tptp.empty_set))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_8 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_9 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_10 (tptp.in _let_9 _let_8))) (let ((_let_11 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_12 (tptp.in _let_11 _let_8))) (let ((_let_13 (and _let_12 _let_10))) (let ((_let_14 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 _let_8))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 _let_8))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_13))) (let ((_let_19 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (and (tptp.in (tptp.set_union2 B C) _let_1) (tptp.in (tptp.set_difference B C) _let_1))))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (tptp.preboolean _let_8))) (let ((_let_22 (= _let_21 _let_19))) (let ((_let_23 (not _let_19))) (let ((_let_24 (forall ((A $$unsorted)) (= (tptp.preboolean A) (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.in B A)) (not (tptp.in C A)) (and (tptp.in (tptp.set_union2 B C) A) (tptp.in (tptp.set_difference B C) A)))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (_let_24))) (let ((_let_27 ((tptp.preboolean A)))) (let ((_let_28 (tptp.empty _let_8))) (let ((_let_29 (not _let_28))) (let ((_let_30 (and _let_29 _let_21))) (let ((_let_31 (not _let_21))) (let ((_let_32 (tptp.preboolean SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_35 (tptp.preboolean SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_38 (or _let_37 _let_36 _let_34 _let_33 _let_30))) (let ((_let_39 (forall ((A $$unsorted) (BOUND_VARIABLE_1238 $$unsorted)) (let ((_let_1 (tptp.set_intersection2 A BOUND_VARIABLE_1238))) (or (tptp.empty A) (not (tptp.preboolean A)) (tptp.empty BOUND_VARIABLE_1238) (not (tptp.preboolean BOUND_VARIABLE_1238)) (and (not (tptp.empty _let_1)) (tptp.preboolean _let_1))))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (or))) (let ((_let_43 (not _let_39))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_41) :args (_let_43))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args (_let_40)) :args _let_42)) _let_41 :args (_let_40 true _let_39)))) (let ((_let_45 (= tptp.empty_set _let_8))) (let ((_let_46 (or _let_29 _let_45))) (let ((_let_47 (forall ((A $$unsorted)) (or (not (tptp.empty A)) (= tptp.empty_set A))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (tptp.in tptp.empty_set tptp.empty_set))) (let ((_let_50 (tptp.in tptp.empty_set _let_8))) (let ((_let_51 (not _let_45))) (let ((_let_52 (not _let_6))) (let ((_let_53 (not _let_49))) (let ((_let_54 (or _let_53 _let_52))) (let ((_let_55 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (not (tptp.empty B)))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (tptp.in tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_58 (tptp.in tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_59 (and _let_58 _let_57))) (let ((_let_60 (= _let_50 _let_59))) (let ((_let_61 (forall ((D $$unsorted)) (= (tptp.in D (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_62 (_let_7))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_62))) _let_63 :args (_let_61 false _let_7)))) (let ((_let_65 (_let_61))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (or _let_34 _let_33 _let_57))) (let ((_let_68 (forall ((A $$unsorted)) (or (tptp.empty A) (not (tptp.preboolean A)) (tptp.in tptp.empty_set A))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_68))) (let ((_let_71 ((not (= (tptp.empty A) true))))) (let ((_let_72 (REFL :args (_let_38)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 3)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_42)) :args ((or _let_32 _let_38))) _let_44 :args (_let_32 true _let_38)))) (let ((_let_74 (or _let_37 _let_36 _let_58))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 1)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_42)) :args ((or _let_35 _let_38))) _let_44 :args (_let_35 true _let_38)))) (let ((_let_76 (ASSUME :args (_let_53)))) (let ((_let_77 (ASSUME :args (_let_45)))) (let ((_let_78 (ASSUME :args (_let_50)))) (let ((_let_79 (_let_30))) (let ((_let_80 (_let_23))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_19))) (REFL :args (_let_20)) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_22)) :args ((or _let_21 _let_23 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_79) (CONG (REFL :args _let_79) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) (REFL :args (_let_31)) :args _let_42)) :args ((or _let_28 _let_30 _let_31))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_29 _let_45 (not _let_46)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_76 _let_77 _let_78) :args (_let_45 _let_50 _let_53)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_78)) (CONG (REFL :args (tptp.empty_set)) (SYMM _let_77) :args (APPLY_UF tptp.in)) (FALSE_INTRO _let_76))) :args (_let_53 _let_45 _let_50)) :args ((not (and _let_45 _let_50 _let_53)) SB_LITERAL))) (CONG (REFL :args (_let_51)) (REFL :args ((not _let_50))) (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_49))) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_60)) :args ((or _let_50 (not _let_59) (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_59)) :args ((or (not _let_58) (not _let_57) _let_59))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_37 _let_36 _let_58 (not _let_74)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 0)) _let_44 :args ((not _let_37) true _let_38)) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_74 false _let_68)) :args (_let_58 true _let_37 false _let_35 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_34 _let_33 _let_57 (not _let_67)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 2)) _let_44 :args ((not _let_34) true _let_38)) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_67 false _let_68)) :args (_let_57 true _let_34 false _let_32 false _let_67)) :args (_let_59 false _let_58 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) :args _let_65)) _let_64 :args (_let_60 false _let_61)) :args (_let_50 false _let_59 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_52 _let_53 (not _let_54)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.empty_set tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_55))) _let_56 :args (_let_54 false _let_55)) :args (_let_53 false _let_6 false _let_54)) :args (_let_51 false _let_50 true _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_8 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_47))) _let_48 :args (_let_46 false _let_47)) :args (_let_29 true _let_45 false _let_46)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 4)) _let_44 :args ((not _let_30) true _let_38)) :args (_let_31 true _let_28 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_22 false _let_24)) :args (_let_23 true _let_21 false _let_22)) :args (_let_20 true _let_19)))) (let ((_let_82 (tptp.in _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_83 (tptp.in _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_84 (and _let_83 _let_82))) (let ((_let_85 (= _let_12 _let_84))) (let ((_let_86 (tptp.in _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_87 (and _let_82 _let_86))) (let ((_let_88 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89 _let_87))) (let ((_let_93 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (and (tptp.in (tptp.set_union2 B C) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.in (tptp.set_difference B C) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_94 (= _let_32 _let_93))) (let ((_let_95 (_let_93))) (let ((_let_96 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_97 (and _let_96 _let_88))) (let ((_let_98 (= _let_14 _let_97))) (let ((_let_99 (REFL :args (_let_18)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_98)) :args ((or _let_15 _let_97 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 1)) (CONG _let_99 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_42)) :args ((or _let_14 _let_18))) _let_81 :args (_let_14 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65)) _let_64 :args (_let_98 false _let_61)) :args (_let_97 false _let_14 false _let_98)))) (let ((_let_101 (not _let_97))) (let ((_let_102 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_103 (and _let_102 _let_90))) (let ((_let_104 (= _let_16 _let_103))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_104)) :args ((or _let_17 _let_103 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG _let_99 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_42)) :args ((or _let_16 _let_18))) _let_81 :args (_let_16 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65)) _let_64 :args (_let_104 false _let_61)) :args (_let_103 false _let_16 false _let_104)))) (let ((_let_106 (not _let_103))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_89 _let_87 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_103 1)) :args ((or _let_90 _let_106))) _let_105 :args (_let_90 false _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 1)) :args ((or _let_88 _let_101))) _let_100 :args (_let_88 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_95) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING ((tptp.in (tptp.set_union2 B C) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) :args _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_94)) :args ((or _let_33 _let_93 (not _let_94)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_94 false _let_24)) :args (_let_93 false _let_32 false _let_94)) :args (_let_92 false _let_93)) :args (_let_87 false _let_90 false _let_88 false _let_92)))) (let ((_let_108 (not _let_87))) (let ((_let_109 (tptp.in _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_110 (and _let_83 _let_109))) (let ((_let_111 (not _let_96))) (let ((_let_112 (not _let_102))) (let ((_let_113 (or _let_112 _let_111 _let_110))) (let ((_let_114 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (and (tptp.in (tptp.set_union2 B C) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.in (tptp.set_difference B C) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_115 (= _let_35 _let_114))) (let ((_let_116 (_let_114))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_112 _let_111 _let_110 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_103 0)) :args ((or _let_102 _let_106))) _let_105 :args (_let_102 false _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 0)) :args ((or _let_96 _let_101))) _let_100 :args (_let_96 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_116) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_116)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_115)) :args ((or _let_36 _let_114 (not _let_115)))) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_115 false _let_24)) :args (_let_114 false _let_35 false _let_115)) :args (_let_113 false _let_114)) :args (_let_110 false _let_102 false _let_96 false _let_113)))) (let ((_let_118 (not _let_110))) (let ((_let_119 (and _let_109 _let_86))) (let ((_let_120 (= _let_10 _let_119))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_120)) :args ((or _let_10 (not _let_119) (not _let_120)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_119)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_110 1)) :args ((or _let_109 _let_118))) _let_117 :args (_let_109 false _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_87 1)) :args ((or _let_86 _let_108))) _let_107 :args (_let_86 false _let_87)) :args (_let_119 false _let_109 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_9 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65)) _let_64 :args (_let_120 false _let_61)) :args (_let_10 false _let_119 false _let_120)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_85)) :args ((or _let_12 (not _let_84) (not _let_85)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_110 0)) :args ((or _let_83 _let_118))) _let_117 :args (_let_83 false _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_87 0)) :args ((or _let_82 _let_108))) _let_107 :args (_let_82 false _let_87)) :args (_let_84 false _let_83 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65)) _let_64 :args (_let_85 false _let_61)) :args (_let_12 false _let_84 false _let_85)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 2)) _let_81 :args ((not _let_13) true _let_18)) :args (false false _let_10 false _let_12 true _let_13)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.finite A))) (forall ((A $$unsorted)) (=> (tptp.preboolean A) (and (tptp.cup_closed A) (tptp.diff_closed A)))) (forall ((A $$unsorted)) (=> (tptp.finite A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (tptp.finite B))))) (forall ((A $$unsorted)) (=> (and (tptp.cup_closed A) (tptp.diff_closed A)) (tptp.preboolean A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) _let_7 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.finite B) (tptp.finite (tptp.set_intersection2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.finite A) (tptp.finite (tptp.set_intersection2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.finite A) (tptp.finite (tptp.set_difference A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.powerset A))) (and (not (tptp.empty _let_1)) (tptp.cup_closed _let_1) (tptp.diff_closed _let_1) (tptp.preboolean _let_1)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.finite A) (tptp.finite B)) (tptp.finite (tptp.set_union2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.finite A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.cup_closed A) (tptp.cap_closed A) (tptp.diff_closed A) (tptp.preboolean A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B) (tptp.relation B) (tptp.function B) (tptp.one_to_one B) (tptp.epsilon_transitive B) (tptp.epsilon_connected B) (tptp.ordinal B) (tptp.natural B) (tptp.finite B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_5 _let_4 (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_3 (forall ((A $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted)) (= (tptp.set_difference tptp.empty_set A) tptp.empty_set)) (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)))) _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 31.12/32.06  )
% 31.12/32.06  % SZS output end Proof for SEU109+1
% 31.12/32.06  % cvc5---1.0.5 exiting
% 31.12/32.06  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------