TSTP Solution File: SEU144+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU144+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 16:29:31 EDT 2023
% Result : Theorem 10.57s 11.50s
% Output : Proof 10.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU144+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 17:54:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.47 %----Proving TF0_NAR, FOF, or CNF
% 10.57/11.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ViWM9M3I6a/cvc5---1.0.5_11685.p...
% 10.57/11.50 ------- get file name : TPTP file name is SEU144+2
% 10.57/11.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11685.smt2...
% 10.57/11.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.57/11.50 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.57/11.50 % SZS status Theorem for SEU144+2
% 10.57/11.50 % SZS output start Proof for SEU144+2
% 10.57/11.50 (
% 10.57/11.50 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.disjoint A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (and (tptp.in C A) (tptp.in C B)))))) (not (and (exists ((C $$unsorted)) (and (tptp.in C A) (tptp.in C B))) _let_1))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B))) (= A B))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset A B) (= (tptp.set_union2 A B) B))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset (tptp.singleton A) B) (tptp.in A B))))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((A $$unsorted)) (not (= (tptp.singleton A) tptp.empty_set))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_intersection2 A B) tptp.empty_set))))) (let ((_let_8 (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_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_union2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (tptp.in D A) (tptp.in D B)))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))))) (let ((_let_13 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109))) (let ((_let_16 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.subset _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (= _let_17 _let_13))) (let ((_let_19 (not _let_18))) (let ((_let_20 (_let_5))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (or))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_21) :args _let_20)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args (_let_19)) :args _let_22)) _let_21 :args (_let_19 true _let_4)))) (let ((_let_24 (tptp.set_union2 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_24))) (let ((_let_26 (not _let_17))) (let ((_let_27 (or _let_26 _let_25))) (let ((_let_28 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))) (let ((_let_29 (= _let_28 _let_24))) (let ((_let_30 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28))) (let ((_let_31 (_let_18))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.subset A B)) (= B (tptp.set_union2 A B)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (_let_12))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_37 (or _let_13 _let_36))) (let ((_let_38 (= _let_30 _let_37))) (let ((_let_39 (forall ((D $$unsorted)) (let ((_let_1 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (= (tptp.in D (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_1)) (or (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.in D _let_1))))))) (let ((_let_40 (_let_10))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (_let_39))) (let ((_let_43 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69))) (let ((_let_44 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 _let_16))) (let ((_let_45 (= _let_44 _let_43))) (let ((_let_46 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_47 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_47)))) _let_48 :args (_let_46 false _let_47)))) (let ((_let_50 (_let_46))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 tptp.empty_set))) (let ((_let_53 (= _let_52 _let_44))) (let ((_let_54 (forall ((C $$unsorted)) (= (tptp.in C tptp.empty_set) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_55 (not _let_53))) (let ((_let_56 (= tptp.empty_set _let_16))) (let ((_let_57 (not _let_54))) (let ((_let_58 (or _let_57 _let_56))) (let ((_let_59 (forall ((A $$unsorted) (B $$unsorted)) (or (not (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B)))) (= A B))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (forall ((A $$unsorted)) (not (= tptp.empty_set (tptp.singleton A)))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_57))) (let ((_let_64 (not _let_52))) (let ((_let_65 (tptp.disjoint tptp.empty_set tptp.empty_set))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64 _let_64))) (let ((_let_68 (forall ((BOUND_VARIABLE_1276 $$unsorted) (BOUND_VARIABLE_1278 $$unsorted) (BOUND_VARIABLE_1292 $$unsorted)) (or (not (tptp.disjoint BOUND_VARIABLE_1276 BOUND_VARIABLE_1278)) (not (tptp.in BOUND_VARIABLE_1292 BOUND_VARIABLE_1276)) (not (tptp.in BOUND_VARIABLE_1292 BOUND_VARIABLE_1278)))))) (let ((_let_69 (_let_68))) (let ((_let_70 (= tptp.empty_set (tptp.set_intersection2 tptp.empty_set tptp.empty_set)))) (let ((_let_71 (= _let_65 _let_70))) (let ((_let_72 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= tptp.empty_set (tptp.set_intersection2 A B)))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_8))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_53)) :args ((or _let_52 _let_44 _let_53))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_67))) :args ((or _let_66 _let_64 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_71)) :args ((or _let_65 (not _let_70) (not _let_71)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.empty_set tptp.empty_set tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_74))) _let_75 :args (_let_70 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.empty_set tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_72))) _let_73 :args (_let_71 false _let_72)) :args (_let_65 false _let_70 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_69) :args (tptp.empty_set tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_69)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (1)) :args (_let_67 false _let_68)) :args (_let_64 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_63)) :args _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_54))) (REFL :args (_let_55)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_56 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_61))) _let_62 :args ((not _let_56) false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.empty_set _let_16 QUANTIFIERS_INST_ENUM)) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_57 true _let_56 false _let_58)) :args (_let_55 true _let_54)) :args (_let_44 true _let_52 true _let_53)))) (let ((_let_77 (and _let_44 _let_43))) (let ((_let_78 (_let_44 _let_43))) (let ((_let_79 (ASSUME :args (_let_44)))) (let ((_let_80 (APPLY_UF tptp.in))) (let ((_let_81 (ASSUME :args (_let_43)))) (let ((_let_82 (not _let_13))) (let ((_let_83 (_let_82))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (ASSUME :args (_let_25)))) (let ((_let_86 (ASSUME :args (_let_29)))) (let ((_let_87 (ASSUME :args (_let_30)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_84 _let_85 _let_86 _let_87) :args (_let_82 _let_29 _let_25 _let_30)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_87)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (TRANS (SYMM (SYMM _let_86)) (SYMM _let_85)) :args _let_80) (FALSE_INTRO _let_84))) :args (_let_82 _let_25 _let_29 _let_30)) :args ((not (and _let_82 _let_29 _let_25 _let_30)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_13))) (REFL :args ((not _let_29))) (REFL :args ((not _let_25))) (REFL :args ((not _let_30))) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_38)) :args ((or _let_30 (not _let_37) (not _let_38)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_37 1)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_81) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_81)) (REFL :args (_let_16)) :args _let_80) (TRUE_INTRO _let_79))) :args _let_78)) :args _let_78)) :args (true _let_77)) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or (not _let_44) _let_43 (not _let_45)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 QUANTIFIERS_INST_CBQI_PROP)) :args _let_50))) _let_49 :args (_let_45 false _let_46)) :args (_let_43 false _let_44 false _let_45)) :args (_let_36 false _let_44 false _let_43)) :args (_let_37 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_42) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 _let_28 QUANTIFIERS_INST_CBQI_PROP)) :args _let_40))) _let_41 :args (_let_39 false _let_10)) :args (_let_38 false _let_39)) :args (_let_30 false _let_37 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_34)) _let_35 :args (_let_29 false _let_12)) (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_25 (not _let_27)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_32))) _let_33 :args (_let_27 false _let_32)) (CNF_EQUIV_NEG2 :args _let_31) _let_23 :args (_let_26 false _let_30 false _let_29 false _let_25 false _let_27 true _let_13 true _let_18)))) (let ((_let_89 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 _let_16))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_14))) (let ((_let_92 (not _let_14))) (let ((_let_93 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_94 (not _let_91))) (let ((_let_95 (= _let_17 _let_93))) (let ((_let_96 (not _let_93))) (let ((_let_97 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (_let_96))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_99)) :args _let_99)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_93))) (REFL :args (_let_94)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_95)) :args ((or _let_17 _let_96 (not _let_95)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args (_let_97))) _let_98 :args (_let_95 false _let_97)) :args (_let_96 true _let_17 false _let_95)) :args (_let_94 true _let_93)))) (let ((_let_101 (= _let_89 _let_15))) (let ((_let_102 (ASSUME :args (_let_13)))) (let ((_let_103 (ASSUME :args (_let_15)))) (let ((_let_104 (ASSUME :args (_let_92)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_102 _let_103 _let_104) :args (_let_13 _let_92 _let_15)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_104)) (CONG (SYMM _let_103) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args _let_80) (TRUE_INTRO _let_102))) :args (_let_13 _let_15 _let_92)) :args ((not (and _let_13 _let_92 _let_15)) SB_LITERAL))) (CONG (REFL :args _let_83) (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_14))) (REFL :args ((not _let_15))) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_101)) :args ((or _let_90 _let_15 (not _let_101)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 0)) (CONG (REFL :args (_let_91)) (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_89))) :args _let_22)) :args ((or _let_89 _let_91))) _let_100 :args (_let_89 true _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 QUANTIFIERS_INST_CBQI_PROP)) :args _let_50))) _let_49 :args (_let_101 false _let_46)) :args (_let_15 false _let_89 false _let_101)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_91 1)) _let_100 :args (_let_92 true _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_31) :args ((or _let_17 _let_13 _let_18))) _let_88 _let_23 :args (_let_13 true _let_17 true _let_18)) :args (false false _let_15 true _let_14 false _let_13)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.proper_subset A B) (not (tptp.proper_subset B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))) _let_11 (forall ((A $$unsorted)) (= (= A tptp.empty_set) (forall ((B $$unsorted)) (not (tptp.in B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= D A) (= D B)))))) _let_10 _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_difference A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (not (tptp.in D B))))))) _let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.proper_subset A B) (and (tptp.subset A B) (not (= A B))))) true true true true true true (tptp.empty tptp.empty_set) (forall ((A $$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 $$unsorted)) (= (tptp.set_union2 A A) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.proper_subset A A))) _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.set_difference A B) tptp.empty_set) (tptp.subset A B))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.disjoint A B) (tptp.disjoint B A))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset (tptp.set_intersection2 A B) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.subset A B) (tptp.subset A C)) (tptp.subset A (tptp.set_intersection2 B C)))) (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.subset A B) (tptp.subset B C)) (tptp.subset A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.subset A B) (tptp.subset (tptp.set_intersection2 A C) (tptp.set_intersection2 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset A B) (= (tptp.set_intersection2 A B) A))) (forall ((A $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) _let_2 (forall ((A $$unsorted)) (tptp.subset tptp.empty_set A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.subset A B) (tptp.subset (tptp.set_difference A C) (tptp.set_difference B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset (tptp.set_difference A B) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.set_difference A B) tptp.empty_set) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A (tptp.set_difference B A)) (tptp.set_union2 A B))) (forall ((A $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)) _let_1 (forall ((A $$unsorted)) (=> (tptp.subset A tptp.empty_set) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_difference (tptp.set_union2 A B) B) (tptp.set_difference A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset A B) (= B (tptp.set_union2 A (tptp.set_difference B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_difference A (tptp.set_difference A B)) (tptp.set_intersection2 A B))) (forall ((A $$unsorted)) (= (tptp.set_difference tptp.empty_set A) tptp.empty_set)) (forall ((A $$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 $$unsorted)) (tptp.in C (tptp.set_intersection2 A B))) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.subset A B) (tptp.proper_subset B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.subset A B) (tptp.disjoint B C)) (tptp.disjoint A C))) (forall ((A $$unsorted)) (= (tptp.unordered_pair A A) (tptp.singleton A))) (forall ((A $$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)) (tptp.subset A (tptp.set_union2 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_difference A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.subset A B) (tptp.subset C B)) (tptp.subset (tptp.set_union2 A C) B))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.57/11.51 )
% 10.57/11.51 % SZS output end Proof for SEU144+2
% 10.57/11.51 % cvc5---1.0.5 exiting
% 11.19/11.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------