TSTP Solution File: SET986+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET986+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 14:41:15 EDT 2023
% Result : Theorem 52.48s 52.69s
% Output : Proof 52.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET986+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n012.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 : Sat Aug 26 08:55:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 52.48/52.69 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gVUdvQph5y/cvc5---1.0.5_5162.p...
% 52.48/52.69 ------- get file name : TPTP file name is SET986+1
% 52.48/52.69 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5162.smt2...
% 52.48/52.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 52.48/52.69 --- Run --no-e-matching --full-saturate-quant at 5...
% 52.48/52.69 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 52.48/52.69 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 52.48/52.69 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 52.48/52.69 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 52.48/52.69 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 52.48/52.69 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 52.48/52.69 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 52.48/52.69 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 52.48/52.69 % SZS status Theorem for SET986+1
% 52.48/52.69 % SZS output start Proof for SET986+1
% 52.48/52.69 (
% 52.48/52.69 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.in A (tptp.set_difference B (tptp.singleton C))) (and (tptp.in A B) (not (= A C))))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (=> (tptp.in A B) (= (tptp.set_union2 (tptp.set_difference B _let_1) _let_1) B))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_4 (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_5 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))))) (let ((_let_8 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_8))) (let ((_let_10 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 _let_9))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (and _let_13 _let_12))) (let ((_let_15 (= _let_10 _let_14))) (let ((_let_16 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 _let_8))) (let ((_let_17 (or _let_16 _let_10))) (let ((_let_18 (tptp.set_union2 _let_8 _let_9))) (let ((_let_19 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 _let_18))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (not _let_17))) (let ((_let_22 (forall ((D $$unsorted)) (let ((_let_1 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_2 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_1))) (= (tptp.in D (tptp.set_union2 _let_1 _let_2)) (or (tptp.in D _let_1) (tptp.in D _let_2)))))))) (let ((_let_23 (_let_4))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_8 _let_9 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_23))) _let_24 :args (_let_22 false _let_4)))) (let ((_let_26 (_let_22))) (let ((_let_27 ((tptp.in D _let_18)))) (let ((_let_28 (ASSUME :args _let_26))) (let ((_let_29 (tptp.set_union2 _let_9 _let_8))) (let ((_let_30 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 _let_29))) (let ((_let_31 (= _let_29 _let_18))) (let ((_let_32 (not _let_19))) (let ((_let_33 (not _let_13))) (let ((_let_34 (or _let_33 _let_30))) (let ((_let_35 (not _let_30))) (let ((_let_36 (forall ((C $$unsorted)) (let ((_let_1 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.in C (tptp.set_union2 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_1) _let_1))))))) (let ((_let_37 (not _let_34))) (let ((_let_38 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_29))) (let ((_let_39 (= _let_38 _let_36))) (let ((_let_40 (not _let_36))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_29 QUANTIFIERS_INST_ENUM))) (let ((_let_45 (tptp.subset _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_46 (and _let_38 _let_45))) (let ((_let_47 (forall ((C $$unsorted)) (let ((_let_1 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (not (tptp.in C (tptp.set_union2 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_1) _let_1))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_48 (= _let_45 _let_47))) (let ((_let_49 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_50 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84 _let_29))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84 _let_8))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_49))) (let ((_let_56 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84 _let_9))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_49))) (let ((_let_59 (or _let_53 _let_56))) (let ((_let_60 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84 _let_18))) (let ((_let_61 (= _let_60 _let_59))) (let ((_let_62 (or))) (let ((_let_63 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_64 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_65 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 _let_8))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64))) (let ((_let_68 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53))) (let ((_let_69 (= _let_65 _let_68))) (let ((_let_70 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_71 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_72 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_8 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_72)))) _let_73 :args (_let_71 false _let_72)))) (let ((_let_75 (_let_71))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_29))) (let ((_let_78 (not _let_70))) (let ((_let_79 (or _let_78 _let_77))) (let ((_let_80 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (or (not (tptp.in A B)) (= B (tptp.set_union2 (tptp.set_difference B _let_1) _let_1))))))) (let ((_let_81 (not _let_79))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (not _let_80))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_82) :args (_let_83))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_80))) (REFL :args (_let_81)) :args _let_62)) _let_82 :args (_let_81 true _let_80)))) (let ((_let_85 (not _let_64))) (let ((_let_86 (ASSUME :args (_let_70)))) (let ((_let_87 (APPLY_UF tptp.in))) (let ((_let_88 (ASSUME :args (_let_68)))) (let ((_let_89 (ASSUME :args (_let_85)))) (let ((_let_90 (not _let_63))) (let ((_let_91 (_let_90))) (let ((_let_92 (_let_63))) (let ((_let_93 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) true)))))) (let ((_let_94 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_95 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_96 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 _let_9))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_95))) (let ((_let_99 (and _let_95 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71))))) (let ((_let_100 (= _let_96 _let_99))) (let ((_let_101 (_let_1))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (not _let_94))) (let ((_let_104 (_let_103))) (let ((_let_105 (_let_94))) (let ((_let_106 (_let_7))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_9 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_union2 A B)))) :args _let_106)) _let_107 :args (_let_31 false _let_7)))) (let ((_let_109 (and _let_31 _let_50))) (let ((_let_110 (ASSUME :args (_let_50)))) (let ((_let_111 (ASSUME :args (_let_31)))) (let ((_let_112 (SYMM _let_111))) (let ((_let_113 (not _let_47))) (let ((_let_114 (_let_113))) (let ((_let_115 (= _let_77 _let_46))) (let ((_let_116 (not _let_46))) (let ((_let_117 (_let_6))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 (_let_40))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_119)) :args _let_119)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_39)) :args ((or _let_38 _let_40 (not _let_39)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_115)) :args ((or _let_77 _let_116 (not _let_115)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_79 1)) _let_84 :args ((not _let_77) true _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args _let_44) :args _let_117)) _let_118 :args (_let_115 false _let_6)) :args (_let_116 true _let_77 false _let_115)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_48)) :args ((or _let_45 _let_113 (not _let_48)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_114)) :args _let_114)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_47))) (REFL :args ((not _let_52))) :args _let_62)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_109)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_110 _let_111) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84)) _let_112 :args _let_87) (TRUE_INTRO _let_110))) :args (_let_50 _let_31))) :args (_let_31 _let_50))) :args (true _let_109)) _let_108 (REORDERING (CNF_EQUIV_POS1 :args (_let_61)) :args ((or _let_59 (not _let_60) (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_61 false _let_22)) (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_53 _let_56 (not _let_59)))) (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_49 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_105) :args _let_93) :args _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_103) _let_94))) (REFL :args ((not _let_98))) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_99 0)) :args ((or _let_95 (not _let_99)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_100)) :args ((or _let_97 _let_99 (not _let_100)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_101))) _let_102 :args (_let_100 false _let_1)) (CNF_OR_NEG :args (_let_98 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_98 0)) (CONG (REFL :args (_let_98)) (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_96))) :args _let_62)) :args ((or _let_96 _let_98))) :args (_let_98 false _let_99 false _let_100 true _let_95 false _let_96)) :args (_let_94 false _let_98)) :args (_let_58 false _let_94)) (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_49 _let_54 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_92) :args _let_93) :args _let_92)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_91)) :args _let_91)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_63))) (REFL :args ((not _let_67))) :args _let_62)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_86 _let_88 _let_89) :args (_let_70 _let_85 _let_68)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_89)) (CONG (SYMM _let_88) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) :args _let_87) (TRUE_INTRO _let_86))) :args (_let_70 _let_68 _let_85)) :args ((not (and _let_70 _let_85 _let_68)) SB_LITERAL))) (CONG (REFL :args (_let_78)) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_64))) (REFL :args ((not _let_68))) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_79 0)) (CONG (REFL :args (_let_79)) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_70))) :args _let_62)) :args ((or _let_70 _let_79))) _let_84 :args (_let_70 true _let_79)) (REORDERING (CNF_EQUIV_POS1 :args (_let_69)) :args ((or _let_66 _let_68 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75))) _let_74 :args (_let_69 false _let_71)) (CNF_OR_NEG :args (_let_67 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_67 0)) (CONG (REFL :args (_let_67)) (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_62)) :args ((or _let_65 _let_67))) :args (_let_67 false _let_70 false _let_68 false _let_69 true _let_64 false _let_65)) :args (_let_63 false _let_67)) :args (_let_55 false _let_63)) (CNF_OR_NEG :args (_let_52 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG (REFL :args (_let_52)) (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_62)) :args ((or _let_50 _let_52))) :args (_let_52 false _let_31 true _let_60 false _let_61 true _let_59 true _let_56 false _let_58 true _let_53 false _let_55 true _let_49 false _let_50)) :args (_let_47 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args _let_43)) _let_42 :args (_let_48 false _let_41)) :args (_let_45 false _let_47 false _let_48)) :args ((not _let_38) true _let_46 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_44) :args _let_43)) _let_42 :args (_let_39 false _let_41)) :args (_let_40 true _let_38 false _let_39)) :args (_let_37 true _let_36)))) (let ((_let_121 (and _let_31 _let_35))) (let ((_let_122 (ASSUME :args (_let_35)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_20)) :args ((or _let_19 _let_21 (not _let_20)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_121)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_122 _let_111) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82)) _let_112 :args _let_87) (FALSE_INTRO _let_122))) :args (_let_35 _let_31))) :args (_let_31 _let_35))) :args (true _let_121)) (CONG (REFL :args ((not _let_31))) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_30))) (REFL :args (_let_32)) :args _let_62)) _let_108 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 1)) _let_120 :args (_let_35 true _let_34)) :args (_let_32 false _let_31 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_20 false _let_22)) :args (_let_21 true _let_19 false _let_20)))) (let ((_let_124 (= _let_16 _let_11))) (let ((_let_125 (_let_14))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_15)) :args ((or _let_10 (not _let_14) (not _let_15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_101))) _let_102 :args (_let_15 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_125) (CONG (REFL :args _let_125) (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_62)) :args ((or _let_33 _let_11 _let_14))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_13))) :args _let_62)) :args ((or _let_13 _let_34))) _let_120 :args (_let_13 true _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_124)) :args ((or _let_16 _let_12 (not _let_124)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 0)) _let_123 :args ((not _let_16) true _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 QUANTIFIERS_INST_ENUM)) :args _let_75))) _let_74 :args (_let_124 false _let_71)) :args (_let_12 true _let_16 false _let_124)) :args (_let_14 false _let_13 true _let_11)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 1)) _let_123 :args ((not _let_10) true _let_17)) :args (false false _let_15 false _let_14 true _let_10)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_difference A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (not (tptp.in D B))))))) (forall ((A $$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)) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 52.48/52.69 )
% 52.48/52.69 % SZS output end Proof for SET986+1
% 52.48/52.69 % cvc5---1.0.5 exiting
% 52.48/52.69 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------