TSTP Solution File: SEU136+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU136+2 : 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 25.74s 26.15s
% Output : Proof 25.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU136+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 16:10:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 25.74/26.15 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.UwfOhrBSVH/cvc5---1.0.5_859.p...
% 25.74/26.15 ------- get file name : TPTP file name is SEU136+2
% 25.74/26.15 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_859.smt2...
% 25.74/26.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.74/26.15 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.74/26.15 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.74/26.15 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.74/26.15 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.74/26.15 % SZS status Theorem for SEU136+2
% 25.74/26.15 % SZS output start Proof for SEU136+2
% 25.74/26.15 (
% 25.74/26.15 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A (tptp.set_union2 A B))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_difference (tptp.set_union2 A B) B) (tptp.set_difference A B))))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A (tptp.set_difference B A)) (tptp.set_union2 A B))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset (tptp.set_difference A B) A)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.subset A B) (tptp.subset (tptp.set_difference A C) (tptp.set_difference B C)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_difference A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (not (tptp.in D B))))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_9 (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_10 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))))) (let ((_let_12 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_16 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_15))) (let ((_let_17 (= _let_12 _let_16))) (let ((_let_18 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 _let_13))) (let ((_let_19 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 _let_16))) (let ((_let_20 (_let_11))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (_let_4))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (tptp.set_difference _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_25 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 _let_24))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_18))) (let ((_let_28 (forall ((C $$unsorted)) (let ((_let_1 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (or (not (tptp.in C (tptp.set_difference _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.in C _let_1)))))) (let ((_let_29 (tptp.subset _let_24 _let_13))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_31))) (let ((_let_34 ((tptp.subset A B)))) (let ((_let_35 (_let_5))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (_let_28))) (let ((_let_38 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 _let_15))) (let ((_let_39 (or _let_26 _let_38))) (let ((_let_40 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.set_difference (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.in C (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (tptp.subset _let_24 _let_15))) (let ((_let_43 (= _let_42 _let_40))) (let ((_let_44 (not _let_40))) (let ((_let_45 (tptp.subset _let_15 _let_24))) (let ((_let_46 (and _let_45 _let_42))) (let ((_let_47 (not _let_42))) (let ((_let_48 (= _let_24 _let_15))) (let ((_let_49 (= _let_48 _let_46))) (let ((_let_50 (not _let_46))) (let ((_let_51 (_let_10))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (not _let_48))) (let ((_let_54 (_let_3))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (or))) (let ((_let_57 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_13))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_45))) (let ((_let_60 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subset A B)) (tptp.subset (tptp.set_difference A C) (tptp.set_difference B C)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_1))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (_let_44))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_64)) :args _let_64)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_43)) :args ((or _let_42 _let_44 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_46)) :args ((or (not _let_45) _let_47 _let_46))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_45 (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_union2 A B)))) :args _let_62)) _let_63 :args (_let_57 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((tptp.set_difference A C) (tptp.set_difference B C)))) :args (_let_60))) _let_61 :args (_let_59 false _let_60)) :args (_let_45 false _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_49)) :args ((or _let_48 _let_50 (not _let_49)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_55) :args _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args (_let_53)) :args _let_56)) _let_55 :args (_let_53 true _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_15 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args _let_51))) _let_52 :args (_let_49 false _let_10)) :args (_let_50 true _let_48 false _let_49)) :args (_let_47 false _let_45 true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_24 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_33)) _let_32 :args (_let_43 false _let_31)) :args (_let_44 true _let_42 false _let_43)) :args (_let_41 true _let_40)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG (REFL :args (_let_39)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_56)) :args ((or _let_25 _let_39))) _let_65 :args (_let_25 true _let_39)))) (let ((_let_67 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_68 (or _let_67 _let_38))) (let ((_let_69 (= _let_19 _let_68))) (let ((_let_70 (not _let_19))) (let ((_let_71 (forall ((D $$unsorted)) (let ((_let_1 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (= (tptp.in D (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_1)) (or (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in D _let_1))))))) (let ((_let_72 (_let_9))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (_let_71))) (let ((_let_75 (not _let_68))) (let ((_let_76 (not _let_67))) (let ((_let_77 (and _let_18 _let_76))) (let ((_let_78 (= _let_25 _let_77))) (let ((_let_79 (forall ((D $$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_80 (_let_7))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (_let_79))) (let ((_let_83 (ASSUME :args (_let_70)))) (let ((_let_84 (APPLY_UF tptp.in))) (let ((_let_85 (ASSUME :args (_let_17)))) (let ((_let_86 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)))) (let ((_let_87 (ASSUME :args (_let_14)))) (let ((_let_88 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_83 _let_85 _let_87 _let_88) :args (_let_14 _let_17 _let_18 _let_70)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_88)) (CONG _let_86 (SYMM (SYMM _let_87)) :args _let_84) (CONG _let_86 (SYMM (SYMM _let_85)) :args _let_84) (FALSE_INTRO _let_83))) :args (_let_70 _let_17 _let_14 _let_18)) :args ((not (and _let_14 _let_17 _let_18 _let_70)) SB_LITERAL))) (CONG (REFL :args ((not _let_14))) (REFL :args ((not _let_17))) (REFL :args ((not _let_18))) (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_19))) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_69)) :args ((or _let_68 _let_70 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_38 _let_67 _let_75))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 1)) _let_65 :args ((not _let_38) true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_77 1)) :args ((or _let_76 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_78)) :args ((or _let_26 _let_77 (not _let_78)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_82) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D _let_24)))) :args _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_80))) _let_81 :args (_let_79 false _let_7)) :args (_let_78 false _let_79)) :args (_let_77 false _let_25 false _let_78)) :args (_let_76 false _let_77)) :args (_let_75 true _let_38 true _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_74) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_15 _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_72))) _let_73 :args (_let_71 false _let_9)) :args (_let_69 false _let_71)) :args (_let_70 true _let_68 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_18 (not _let_27)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_37) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in C _let_24) false))))) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_30)) :args ((or (not _let_29) _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_difference A B)))) :args _let_35)) _let_36 :args (_let_29 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_24 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_33)) _let_32 :args (_let_30 false _let_31)) :args (_let_28 false _let_29 false _let_30)) :args (_let_27 false _let_28)) :args (_let_18 false _let_25 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_difference B A)))) :args _let_22))) _let_23 :args (_let_17 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_union2 A B)))) :args _let_20)) _let_21 :args (_let_14 false _let_11)) :args (false true _let_19 false _let_18 false _let_17 false _let_14)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) _let_10 (forall ((A $$unsorted)) (= (= A tptp.empty_set) (forall ((B $$unsorted)) (not (tptp.in B A))))) _let_9 _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_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_intersection2 A B) tptp.empty_set))) 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)) (= (= (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))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset A B) (= (tptp.set_union2 A B) B))) (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 $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B))) (= A B))) (forall ((A $$unsorted)) (tptp.subset tptp.empty_set A)) _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.set_difference A B) tptp.empty_set) (tptp.subset A B))) _let_4 (forall ((A $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)) (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))))) (forall ((A $$unsorted)) (=> (tptp.subset A tptp.empty_set) (= A tptp.empty_set))) _let_3 (forall ((A $$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 $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.74/26.16 )
% 25.74/26.16 % SZS output end Proof for SEU136+2
% 25.74/26.16 % cvc5---1.0.5 exiting
% 25.74/26.16 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------