%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU136+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 16:29:28 EDT 2023

% Result   : Theorem 30.45s 30.69s
% Output   : Proof 30.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU136+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n007.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 19:53:39 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 30.45/30.69  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.1K3vCEyUvl/cvc5---1.0.5_17446.p...
% 30.45/30.69  ------- get file name : TPTP file name is SEU136+1
% 30.45/30.69  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17446.smt2...
% 30.45/30.69  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 30.45/30.69  --- Run --no-e-matching --full-saturate-quant at 5...
% 30.45/30.69  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 30.45/30.69  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 30.45/30.69  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.45/30.69  % SZS status Theorem for SEU136+1
% 30.45/30.69  % SZS output start Proof for SEU136+1
% 30.45/30.69  (
% 30.45/30.69  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_difference (tptp.set_union2 A B) B) (tptp.set_difference A B))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (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_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_union2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (tptp.in D A) (tptp.in D B)))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))))) (let ((_let_8 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 _let_9))) (let ((_let_12 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 _let_8))) (let ((_let_13 (_let_7))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_union2 A B)))) :args _let_13)) _let_14 :args (_let_10 false _let_7)))) (let ((_let_16 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_17 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 _let_16))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_11))) (let ((_let_20 (not _let_11))) (let ((_let_21 (tptp.set_difference _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_22 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 _let_21))) (let ((_let_23 (or _let_18 _let_22))) (let ((_let_24 (not _let_19))) (let ((_let_25 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.in C (tptp.set_difference (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_26 (not _let_23))) (let ((_let_27 (tptp.subset _let_16 _let_21))) (let ((_let_28 (= _let_27 _let_25))) (let ((_let_29 (not _let_25))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 (tptp.subset _let_21 _let_16))) (let ((_let_34 (and _let_33 _let_27))) (let ((_let_35 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.set_difference (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.in C (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_36 (= _let_33 _let_35))) (let ((_let_37 (_let_21 _let_16 QUANTIFIERS_INST_ENUM))) (let ((_let_38 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_100 _let_16))) (let ((_let_39 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_100 _let_21))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38))) (let ((_let_42 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_43 (not _let_42))) (let ((_let_44 (and (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_100 _let_9) _let_43))) (let ((_let_45 (= _let_39 _let_44))) (let ((_let_46 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_47 (or _let_40 _let_46))) (let ((_let_48 (and _let_46 _let_43))) (let ((_let_49 (= _let_38 _let_48))) (let ((_let_50 (or))) (let ((_let_51 (forall ((D $$unsorted)) (let ((_let_1 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (= (tptp.in D (tptp.set_difference _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (and (tptp.in D _let_1) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))))) (let ((_let_52 (_let_3))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_21 QUANTIFIERS_INST_CBQI_PROP)) :args _let_52))) _let_53 :args (_let_51 false _let_3)))) (let ((_let_55 (_let_51))) (let ((_let_56 ((tptp.in D _let_21)))) (let ((_let_57 (ASSUME :args _let_55))) (let ((_let_58 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.set_difference (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_59 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_60 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 _let_21))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59))) (let ((_let_63 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 _let_9))) (let ((_let_66 (and _let_65 _let_64))) (let ((_let_67 (= _let_60 _let_66))) (let ((_let_68 (or _let_63 _let_59))) (let ((_let_69 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 _let_8))) (let ((_let_70 (= _let_69 _let_68))) (let ((_let_71 (not _let_66))) (let ((_let_72 (forall ((D $$unsorted)) (= (tptp.in D (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (or (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_73 (_let_5))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_73))) _let_74 :args (_let_72 false _let_5)))) (let ((_let_76 (_let_72))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (not _let_10))) (let ((_let_79 (and _let_10 _let_65))) (let ((_let_80 (ASSUME :args (_let_65)))) (let ((_let_81 (APPLY_UF tptp.in))) (let ((_let_82 (ASSUME :args (_let_10)))) (let ((_let_83 (SYMM _let_82))) (let ((_let_84 (not _let_58))) (let ((_let_85 (_let_84))) (let ((_let_86 (_let_58))) (let ((_let_87 (forall ((D $$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_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_52))) _let_53 :args (_let_87 false _let_3)))) (let ((_let_89 (_let_87))) (let ((_let_90 ((tptp.in D _let_16)))) (let ((_let_91 (ASSUME :args _let_89))) (let ((_let_92 (not _let_46))) (let ((_let_93 (_let_48))) (let ((_let_94 (not _let_35))) (let ((_let_95 (_let_94))) (let ((_let_96 (= _let_21 _let_16))) (let ((_let_97 (= _let_96 _let_34))) (let ((_let_98 (not _let_34))) (let ((_let_99 (_let_6))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (not _let_96))) (let ((_let_102 (_let_2))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 (_let_29))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_104)) :args _let_104)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_25))) (REFL :args (_let_26)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_28)) :args ((or _let_27 _let_29 (not _let_28)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_97)) :args ((or _let_96 _let_98 (not _let_97)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_103) :args _let_102)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_101)) :args _let_50)) _let_103 :args (_let_101 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args _let_37) :args _let_99)) _let_100 :args (_let_97 false _let_6)) :args (_let_98 true _let_96 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_36)) :args ((or _let_33 _let_94 (not _let_36)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_95)) :args _let_95)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_35))) (REFL :args ((not _let_41))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_93) (CONG (REFL :args _let_93) (REFL :args (_let_92)) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_50)) :args ((or _let_42 _let_48 _let_92))) (REORDERING (CNF_AND_POS :args (_let_44 1)) :args ((or _let_43 (not _let_44)))) (REORDERING (CNF_EQUIV_POS2 :args (_let_49)) :args ((or _let_38 (not _let_48) (not _let_49)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_100 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89))) _let_88 :args (_let_49 false _let_87)) (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_40 _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_86) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_100 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in C _let_21) false))))) :args _let_86)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_85)) :args _let_85)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_58))) (REFL :args ((not _let_62))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_79)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_80 _let_82) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73)) _let_83 :args _let_81) (TRUE_INTRO _let_80))) :args (_let_65 _let_10))) :args (_let_10 _let_65))) :args (true _let_79)) :args ((or _let_78 _let_69 (not _let_65)))) _let_15 (REORDERING (CNF_EQUIV_POS1 :args (_let_70)) :args ((or _let_68 (not _let_69) (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) :args _let_76)) _let_75 :args (_let_70 false _let_72)) (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_59 _let_63 (not _let_68)))) (REORDERING (CNF_AND_POS :args (_let_66 1)) :args ((or _let_64 _let_71))) (REORDERING (CNF_AND_POS :args (_let_66 0)) :args ((or _let_65 _let_71))) (REORDERING (CNF_EQUIV_POS1 :args (_let_67)) :args ((or _let_61 _let_66 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_67 false _let_51)) (CNF_OR_NEG :args (_let_62 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 0)) (CONG (REFL :args (_let_62)) (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_50)) :args ((or _let_60 _let_62))) :args (_let_62 false _let_10 true _let_69 false _let_70 true _let_68 true _let_63 false _let_65 false _let_66 false _let_67 true _let_59 false _let_60)) :args (_let_58 false _let_62)) :args (_let_47 false _let_58)) (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or _let_40 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_100 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_45 false _let_51)) (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_39))) :args _let_50)) :args ((or _let_39 _let_41))) :args (_let_41 true _let_42 true _let_48 false _let_49 false _let_46 false _let_47 false _let_44 false _let_45 true _let_38 false _let_39)) :args (_let_35 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_37) :args _let_32)) _let_31 :args (_let_36 false _let_30)) :args (_let_33 false _let_35 false _let_36)) :args ((not _let_27) true _let_34 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_16 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args _let_32)) _let_31 :args (_let_28 false _let_30)) :args (_let_29 true _let_27 false _let_28)) :args (_let_26 true _let_25)))) (let ((_let_106 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_107 (not _let_106))) (let ((_let_108 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_109 (and _let_108 _let_107))) (let ((_let_110 (= _let_17 _let_109))) (let ((_let_111 (and _let_11 _let_107))) (let ((_let_112 (= _let_22 _let_111))) (let ((_let_113 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG (REFL :args (_let_23)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_50)) :args ((or _let_17 _let_23))))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89))) _let_88 :args (_let_110 false _let_87)))) (let ((_let_115 (REORDERING (CNF_EQUIV_POS1 :args (_let_110)) :args ((or _let_18 _let_109 (not _let_110)))))) (let ((_let_116 (not _let_109))) (let ((_let_117 (_let_20))) (let ((_let_118 (_let_111))) (let ((_let_119 (or _let_106 _let_108))) (let ((_let_120 (= _let_12 _let_119))) (let ((_let_121 (ASSUME :args (_let_12)))) (let ((_let_122 (ASSUME :args _let_117))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_121 _let_82 _let_122) :args (_let_10 _let_20 _let_12)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_122)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99)) (SYMM _let_83) :args _let_81) (TRUE_INTRO _let_121))) :args (_let_12 _let_10 _let_20)) :args ((not (and _let_10 _let_20 _let_12)) SB_LITERAL))) (CONG (REFL :args (_let_78)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_11))) (REFL :args ((not _let_12))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_120)) :args ((or _let_12 (not _let_119) (not _let_120)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_119 1)) :args ((or (not _let_108) _let_119))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_109 0)) :args ((or _let_108 _let_116))) (MACRO_RESOLUTION_TRUST _let_115 (MACRO_RESOLUTION_TRUST _let_113 _let_105 :args (_let_17 true _let_23)) _let_114 :args (_let_109 false _let_17 false _let_110)) :args (_let_108 false _let_109)) :args (_let_119 false _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_76)) _let_75 :args (_let_120 false _let_72)) :args (_let_12 false _let_119 false _let_120)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 1)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_118) (CONG (REFL :args _let_118) (REFL :args _let_117) (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_106))) :args _let_50)) :args ((or _let_106 _let_111 _let_20))) (REORDERING (CNF_AND_POS :args (_let_109 1)) :args ((or _let_107 _let_116))) (REORDERING (CNF_EQUIV_POS2 :args (_let_112)) :args ((or _let_22 (not _let_111) (not _let_112)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_112 false _let_51)) (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_11 _let_24))) _let_115 _let_114 (CNF_OR_NEG :args (_let_23 1)) _let_113 :args ((or _let_23 _let_24) true _let_106 true _let_111 false _let_112 false _let_11 false _let_109 false _let_110 true _let_22 false _let_17)) _let_105 :args (_let_24 true _let_23)) :args (_let_20 true _let_19)) _let_15 :args (false false _let_12 true _let_11 false _let_10)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_7 _let_6 _let_5 _let_4 _let_3 true true true (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)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)) _let_2 (forall ((A $$unsorted)) (= (tptp.set_difference tptp.empty_set A) tptp.empty_set)) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.45/30.70  )
% 30.45/30.70  % SZS output end Proof for SEU136+1
% 30.45/30.70  % cvc5---1.0.5 exiting
% 30.45/30.70  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------