%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET937+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 14:41:06 EDT 2023

% Result   : Theorem 61.10s 61.46s
% Output   : Proof 61.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET937+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 09:13:37 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 61.10/61.46  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ZbA6M3uASx/cvc5---1.0.5_11476.p...
% 61.10/61.46  ------- get file name : TPTP file name is SET937+1
% 61.10/61.46  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11476.smt2...
% 61.10/61.46  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 61.10/61.46  --- Run --no-e-matching --full-saturate-quant at 5...
% 61.10/61.46  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 61.10/61.46  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 61.10/61.46  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 61.10/61.46  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 61.10/61.46  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 61.10/61.46  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 61.10/61.46  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 61.10/61.46  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 61.10/61.46  --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.10/61.46  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 61.10/61.46  % SZS status Theorem for SET937+1
% 61.10/61.46  % SZS output start Proof for SET937+1
% 61.10/61.46  (
% 61.10/61.46  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset (tptp.powerset (tptp.set_difference A B)) (tptp.set_union2 (tptp.singleton tptp.empty_set) (tptp.set_difference (tptp.powerset A) (tptp.powerset B))))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (tptp.disjoint (tptp.set_difference A B) B)))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.subset A B) (tptp.disjoint B C)) (tptp.disjoint A C))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset (tptp.set_difference A B) A)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset A B) (= (tptp.set_intersection2 A B) A))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.subset A B) (tptp.subset B C)) (tptp.subset A C))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_intersection2 A B) tptp.empty_set))))) (let ((_let_9 (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_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_union2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (tptp.in D A) (tptp.in D B)))))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.powerset A)) (forall ((C $$unsorted)) (= (tptp.in C B) (tptp.subset C A))))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))))) (let ((_let_15 (forall ((C $$unsorted)) (= (tptp.in C (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.subset C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_16 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_17))) (let ((_let_19 (= _let_18 _let_16))) (let ((_let_20 (_let_12))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (not _let_19))) (let ((_let_23 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_24 (tptp.subset _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_23))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_16))) (let ((_let_29 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subset A B)) (not (tptp.subset B C)) (tptp.subset A C))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (tptp.powerset _let_23))) (let ((_let_32 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_31))) (let ((_let_33 (= _let_32 _let_26))) (let ((_let_34 (forall ((C $$unsorted)) (let ((_let_1 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (= (tptp.in C (tptp.powerset _let_1)) (tptp.subset C _let_1)))))) (let ((_let_35 (_let_34))) (let ((_let_36 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_37 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_38 (tptp.set_difference _let_17 _let_37))) (let ((_let_39 (tptp.singleton tptp.empty_set))) (let ((_let_40 (tptp.set_union2 _let_39 _let_38))) (let ((_let_41 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_40))) (let ((_let_42 (not _let_32))) (let ((_let_43 (or _let_42 _let_41))) (let ((_let_44 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.powerset (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (tptp.in C (tptp.set_union2 (tptp.singleton tptp.empty_set) (tptp.set_difference (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (tptp.subset _let_31 _let_40))) (let ((_let_47 (= _let_46 _let_44))) (let ((_let_48 (not _let_44))) (let ((_let_49 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (not _let_46))) (let ((_let_52 (_let_2))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (or))) (let ((_let_55 (_let_48))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_44))) (REFL :args (_let_45)) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_47)) :args ((or _let_46 _let_48 (not _let_47)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_53) :args _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_51)) :args _let_54)) _let_53 :args (_let_51 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_31 _let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args (_let_49))) _let_50 :args (_let_47 false _let_49)) :args (_let_48 true _let_46 false _let_47)) :args (_let_45 true _let_44)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_33)) :args ((or _let_42 _let_26 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG (REFL :args (_let_43)) (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_32))) :args _let_54)) :args ((or _let_32 _let_43))) _let_56 :args (_let_32 true _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args _let_36) :args _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_23 _let_31 QUANTIFIERS_INST_CBQI_PROP)) :args _let_20))) _let_21 :args (_let_34 false _let_12)) :args (_let_33 false _let_34)) :args (_let_26 false _let_32 false _let_33)))) (let ((_let_58 (_let_5))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_37))) (let ((_let_61 (not _let_60))) (let ((_let_62 (and _let_18 _let_61))) (let ((_let_63 (not _let_18))) (let ((_let_64 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_38))) (let ((_let_65 (= _let_64 _let_62))) (let ((_let_66 (not _let_62))) (let ((_let_67 (forall ((D $$unsorted)) (let ((_let_1 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_2 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (= (tptp.in D (tptp.set_difference _let_2 _let_1)) (and (tptp.in D _let_2) (not (tptp.in D _let_1))))))))) (let ((_let_68 (_let_9))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (_let_67))) (let ((_let_71 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_39))) (let ((_let_72 (or _let_64 _let_71))) (let ((_let_73 (tptp.set_union2 _let_38 _let_39))) (let ((_let_74 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_73))) (let ((_let_75 (= _let_74 _let_72))) (let ((_let_76 (not _let_72))) (let ((_let_77 (forall ((D $$unsorted)) (let ((_let_1 (tptp.singleton tptp.empty_set))) (let ((_let_2 (tptp.set_difference (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (= (tptp.in D (tptp.set_union2 _let_2 _let_1)) (or (tptp.in D _let_2) (tptp.in D _let_1)))))))) (let ((_let_78 (_let_11))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (_let_77))) (let ((_let_81 (= _let_40 _let_73))) (let ((_let_82 (not _let_74))) (let ((_let_83 (_let_14))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (not _let_41))) (let ((_let_86 (and _let_81 _let_85))) (let ((_let_87 (ASSUME :args (_let_85)))) (let ((_let_88 (APPLY_UF tptp.in))) (let ((_let_89 (ASSUME :args (_let_81)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_75)) :args ((or _let_74 _let_76 (not _let_75)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_86)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_87 _let_89) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (SYMM _let_89) :args _let_88) (FALSE_INTRO _let_87))) :args (_let_85 _let_81))) :args (_let_81 _let_85))) :args (true _let_86)) (CONG (REFL :args ((not _let_81))) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_41))) (REFL :args (_let_82)) :args _let_54)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 1)) _let_56 :args (_let_85 true _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_39 _let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_union2 A B)))) :args _let_83)) _let_84 :args (_let_81 false _let_14)) :args (_let_82 true _let_41 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_80) :args _let_36) :args _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_38 _let_39 _let_73 QUANTIFIERS_INST_CBQI_PROP)) :args _let_78))) _let_79 :args (_let_77 false _let_11)) :args (_let_75 false _let_77)) :args (_let_76 true _let_74 false _let_75)))) (let ((_let_91 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_92 (= _let_60 _let_91))) (let ((_let_93 (forall ((C $$unsorted)) (= (tptp.in C (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.subset C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_94 (_let_93))) (let ((_let_95 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_96 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_95))) (let ((_let_97 (not _let_91))) (let ((_let_98 (or _let_97 _let_96))) (let ((_let_99 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.subset A B)) (= A (tptp.set_intersection2 A B)))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_102 (= tptp.empty_set (tptp.set_intersection2 _let_38 _let_37)))) (let ((_let_103 (= tptp.empty_set _let_95))) (let ((_let_104 (not _let_96))) (let ((_let_105 (tptp.in tptp.empty_set _let_39))) (let ((_let_106 (not _let_101))) (let ((_let_107 (not _let_71))) (let ((_let_108 (forall ((C $$unsorted)) (= (tptp.in C (tptp.singleton tptp.empty_set)) (= C tptp.empty_set))))) (let ((_let_109 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (_let_108))) (let ((_let_112 (_let_106))) (let ((_let_113 (ASSUME :args (_let_107)))) (let ((_let_114 (ASSUME :args (_let_101)))) (let ((_let_115 (ASSUME :args (_let_105)))) (let ((_let_116 (tptp.disjoint _let_38 _let_37))) (let ((_let_117 (= _let_116 _let_102))) (let ((_let_118 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= tptp.empty_set (tptp.set_intersection2 A B)))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (_let_118))) (let ((_let_121 (_let_3))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 ((tptp.set_difference A B)))) (let ((_let_124 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_125 (= _let_124 _let_103))) (let ((_let_126 (tptp.disjoint _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_27 _let_127 _let_124))) (let ((_let_129 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subset A B)) (not (tptp.disjoint B C)) (tptp.disjoint A C))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (ASSUME :args (_let_102)))) (let ((_let_132 (SYMM (SYMM _let_131)))) (let ((_let_133 (ASSUME :args (_let_103)))) (let ((_let_134 (ASSUME :args (_let_96)))) (let ((_let_135 (ASSUME :args _let_112))) (let ((_let_136 (_let_62))) (let ((_let_137 (_let_15))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_137) :args _let_36) :args _let_137)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_19)) :args ((or _let_18 (not _let_16) _let_22))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_136) (CONG (REFL :args _let_136) (REFL :args (_let_63)) (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_54)) :args ((or _let_60 _let_62 _let_63))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_92)) :args ((or _let_61 _let_91 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_97 _let_96 (not _let_98)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_133 _let_134 _let_131 _let_135) :args (_let_106 _let_102 _let_96 _let_103)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_135)) (TRUE_INTRO (TRANS _let_132 (SYMM (TRANS (SYMM (SYMM _let_134)) (SYMM _let_133) _let_132)))))) :args (_let_103 _let_96 _let_102 _let_106)) :args ((not (and _let_106 _let_102 _let_96 _let_103)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_101))) (REFL :args ((not _let_102))) (REFL :args (_let_104)) (REFL :args ((not _let_103))) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_125)) :args ((or _let_103 (not _let_124) (not _let_125)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_127 _let_124 _let_27 (not _let_128)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121)) _let_122 :args (_let_126 false _let_3)) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.disjoint A C) true)) (not (= (tptp.disjoint B C) false))))) :args (_let_129))) _let_130 :args (_let_128 false _let_129)) :args (_let_124 false _let_126 false _let_26 false _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_intersection2 A B)))) :args _let_120)) _let_119 :args (_let_125 false _let_118)) :args (_let_103 false _let_124 false _let_125)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_117)) :args ((or (not _let_116) _let_102 (not _let_117)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_17 _let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121)) _let_122 :args (_let_116 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_38 _let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.disjoint A B)))) :args _let_120)) _let_119 :args (_let_117 false _let_118)) :args (_let_102 false _let_116 false _let_117)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_113 _let_114 _let_115) :args (_let_101 _let_107 _let_105)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_115)) (CONG (SYMM (SYMM _let_114)) (REFL :args (_let_39)) :args _let_88) (FALSE_INTRO _let_113))) :args (_let_107 _let_101 _let_105)) :args ((not (and _let_101 _let_107 _let_105)) SB_LITERAL))) (CONG (REFL :args _let_112) (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_71))) (REFL :args ((not _let_105))) :args _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_111) :args (tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_111))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.empty_set _let_39 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_109)))) _let_110 :args (_let_108 false _let_109)) :args (_let_105 false _let_108)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_72 1)) _let_90 :args (_let_107 true _let_72)) :args (_let_106 false _let_105 true _let_71)) :args (_let_104 false _let_103 false _let_102 true _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset A B) false))))) :args (_let_99))) _let_100 :args (_let_98 false _let_99)) :args (_let_97 true _let_96 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_94) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in C _let_37)))) :args _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_37 QUANTIFIERS_INST_CBQI_PROP)) :args _let_20))) _let_21 :args (_let_93 false _let_12)) :args (_let_92 false _let_93)) :args (_let_61 true _let_91 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_65)) :args ((or _let_64 _let_66 (not _let_65)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_72 0)) _let_90 :args ((not _let_64) true _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_70) :args _let_36) :args _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_17 _let_37 _let_38 QUANTIFIERS_INST_CBQI_PROP)) :args _let_68))) _let_69 :args (_let_67 false _let_9)) :args (_let_65 false _let_67)) :args (_let_66 true _let_64 false _let_65)) :args (_let_63 true _let_60 true _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_25 _let_27 _let_16 (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_difference A B)))) :args _let_58)) _let_59 :args (_let_24 false _let_5)) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_16 false _let_24 false _let_26 false _let_28)) :args (_let_22 true _let_18 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_20))) _let_21 :args (_let_15 false _let_12)) :args (false true _let_19 false _let_15)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_14 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (tptp.empty tptp.empty_set) (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)) (= (tptp.set_union2 A A) A)) (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))) _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 61.10/61.46  )
% 61.10/61.46  % SZS output end Proof for SET937+1
% 61.10/61.46  % cvc5---1.0.5 exiting
% 61.10/61.47  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------