%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU147+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 16:29:33 EDT 2023

% Result   : Theorem 10.48s 10.72s
% Output   : Proof 10.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SEU147+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n010.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 20:40:36 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 10.48/10.72  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.iqgKHc3aAG/cvc5---1.0.5_27002.p...
% 10.48/10.72  ------- get file name : TPTP file name is SEU147+2
% 10.48/10.72  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27002.smt2...
% 10.48/10.72  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.48/10.72  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.48/10.72  % SZS status Theorem for SEU147+2
% 10.48/10.72  % SZS output start Proof for SEU147+2
% 10.48/10.72  (
% 10.48/10.72  (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.subset A tptp.empty_set) (= A tptp.empty_set))))) (let ((_let_2 (forall ((A $$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 $$unsorted)) (and (tptp.in C A) (tptp.in C B))) _let_1))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B))) (= A B))))) (let ((_let_4 (tptp.singleton tptp.empty_set))) (let ((_let_5 (= (tptp.powerset tptp.empty_set) _let_4))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((A $$unsorted)) (not (= (tptp.singleton A) tptp.empty_set))))) (let ((_let_8 (forall ((A $$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_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.powerset A)) (forall ((C $$unsorted)) (= (tptp.in C B) (tptp.subset C A))))))) (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 $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_13 (tptp.subset tptp.empty_set tptp.empty_set))) (let ((_let_14 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 tptp.empty_set))) (let ((_let_15 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75))) (let ((_let_16 (_let_12))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (tptp.empty_set tptp.empty_set QUANTIFIERS_INST_ENUM))) (let ((_let_19 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 _let_4))) (let ((_let_20 (= _let_14 _let_19))) (let ((_let_21 (not _let_14))) (let ((_let_22 (or _let_21 _let_15))) (let ((_let_23 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 _let_4))) (let ((_let_24 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68))) (let ((_let_25 (forall ((C $$unsorted)) (= (tptp.subset C tptp.empty_set) (tptp.in C (tptp.singleton tptp.empty_set)))))) (let ((_let_26 (not _let_20))) (let ((_let_27 (= _let_5 _let_25))) (let ((_let_28 (not _let_25))) (let ((_let_29 (_let_10))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (tptp.empty_set _let_4 QUANTIFIERS_INST_ENUM))) (let ((_let_32 (or))) (let ((_let_33 (_let_28))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_33)) :args _let_33)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_25))) (REFL :args (_let_26)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_27)) :args ((or _let_5 _let_28 (not _let_27)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args _let_31) :args _let_29))) _let_30 :args (_let_27 false _let_10)) :args (_let_28 true _let_5 false _let_27)) :args (_let_26 true _let_25)))) (let ((_let_35 (_let_20))) (let ((_let_36 (forall ((A $$unsorted)) (or (not (tptp.subset A tptp.empty_set)) (= tptp.empty_set A))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_39 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.empty_set))) (let ((_let_40 (= _let_39 _let_23))) (let ((_let_41 (forall ((C $$unsorted)) (= (tptp.in C tptp.empty_set) (tptp.in C (tptp.singleton tptp.empty_set)))))) (let ((_let_42 (not _let_40))) (let ((_let_43 (= tptp.empty_set _let_4))) (let ((_let_44 (not _let_41))) (let ((_let_45 (or _let_44 _let_43))) (let ((_let_46 (forall ((A $$unsorted) (B $$unsorted)) (or (not (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B)))) (= A B))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (forall ((A $$unsorted)) (not (= tptp.empty_set (tptp.singleton A)))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_44))) (let ((_let_51 (not _let_39))) (let ((_let_52 (tptp.disjoint tptp.empty_set tptp.empty_set))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51 _let_51))) (let ((_let_55 (forall ((BOUND_VARIABLE_1324 $$unsorted) (BOUND_VARIABLE_1326 $$unsorted) (BOUND_VARIABLE_1340 $$unsorted)) (or (not (tptp.disjoint BOUND_VARIABLE_1324 BOUND_VARIABLE_1326)) (not (tptp.in BOUND_VARIABLE_1340 BOUND_VARIABLE_1324)) (not (tptp.in BOUND_VARIABLE_1340 BOUND_VARIABLE_1326)))))) (let ((_let_56 (_let_55))) (let ((_let_57 (= tptp.empty_set (tptp.set_intersection2 tptp.empty_set tptp.empty_set)))) (let ((_let_58 (= _let_52 _let_57))) (let ((_let_59 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= tptp.empty_set (tptp.set_intersection2 A B)))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_9))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_40)) :args ((or _let_39 _let_23 _let_40))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_54))) :args ((or _let_53 _let_51 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_58)) :args ((or _let_52 (not _let_57) (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.empty_set tptp.empty_set tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_61))) _let_62 :args (_let_57 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args _let_18) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_52 false _let_57 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_56) :args (tptp.empty_set tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_56)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args (1)) :args (_let_54 false _let_55)) :args (_let_51 false _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_41))) (REFL :args (_let_42)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_43 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_48))) _let_49 :args ((not _let_43) false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_31) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_44 true _let_43 false _let_45)) :args (_let_42 true _let_41)) :args (_let_23 true _let_39 true _let_40)))) (let ((_let_64 (= _let_23 _let_24))) (let ((_let_65 (forall ((C $$unsorted)) (= (= C tptp.empty_set) (tptp.in C (tptp.singleton tptp.empty_set)))))) (let ((_let_66 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.empty_set _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_66)))) _let_67 :args (_let_65 false _let_66)))) (let ((_let_69 (_let_65))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (not _let_23))) (let ((_let_72 (REFL :args ((not _let_15))))) (let ((_let_73 (not _let_19))) (let ((_let_74 (ASSUME :args (_let_23)))) (let ((_let_75 (ASSUME :args (_let_24)))) (let ((_let_76 (ASSUME :args (_let_15)))) (let ((_let_77 (SYMM _let_76))) (let ((_let_78 (ASSUME :args (_let_73)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_74 _let_75 _let_76 _let_78) :args (_let_23 _let_24 _let_73 _let_15)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_78)) (CONG (TRANS _let_77 (SYMM (SYMM _let_75))) (REFL :args (_let_4)) :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_74))) :args (_let_23 _let_24 _let_15 _let_73)) :args ((not (and _let_23 _let_24 _let_73 _let_15)) SB_LITERAL))) (CONG (REFL :args (_let_71)) (REFL :args ((not _let_24))) (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_19))) _let_72 :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_64)) :args ((or _let_71 _let_24 (not _let_64)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 QUANTIFIERS_INST_CBQI_PROP)) :args _let_69))) _let_68 :args (_let_64 false _let_65)) :args (_let_24 false _let_23 false _let_64)) _let_63 (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_15 (not _let_22)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_38) :args (_let_36))) _let_37 :args (_let_22 false _let_36)) (CNF_EQUIV_NEG2 :args _let_35) _let_34 :args (_let_21 false _let_24 false _let_23 false _let_15 false _let_22 true _let_19 true _let_20)))) (let ((_let_80 (= _let_19 _let_15))) (let ((_let_81 (ASSUME :args (_let_13)))) (let ((_let_82 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_81 _let_76 _let_82) :args (_let_13 _let_21 _let_15)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_82)) (CONG _let_77 (REFL :args (tptp.empty_set)) :args (APPLY_UF tptp.subset)) (TRUE_INTRO _let_81))) :args (_let_13 _let_15 _let_21)) :args ((not (and _let_13 _let_21 _let_15)) SB_LITERAL))) (CONG (REFL :args ((not _let_13))) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_14))) _let_72 :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_80)) :args ((or _let_73 _let_15 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_35) :args ((or _let_14 _let_19 _let_20))) _let_79 _let_34 :args (_let_19 true _let_14 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_70 :args _let_38) :args _let_69))) _let_68 :args (_let_80 false _let_65)) :args (_let_15 false _let_19 false _let_80)) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args _let_18) :args _let_16))) _let_17 :args (_let_13 false _let_12)) :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 $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) _let_12 _let_11 (forall ((A $$unsorted)) (= (= A tptp.empty_set) (forall ((B $$unsorted)) (not (tptp.in B A))))) _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= D A) (= D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_union2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (tptp.in D A) (tptp.in D B)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))) _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_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.proper_subset A B) (and (tptp.subset A B) (not (= A B))))) true 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_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset (tptp.singleton A) B) (tptp.in A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.set_difference A B) tptp.empty_set) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.subset A B) (or (tptp.in C A) (tptp.subset A (tptp.set_difference B (tptp.singleton C)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton B))) (= (tptp.subset A _let_1) (or (= A tptp.empty_set) (= A _let_1))))) (exists ((A $$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))) _let_6 (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_3 (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 $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)) _let_2 _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.56/10.72  )
% 10.56/10.72  % SZS output end Proof for SEU147+2
% 10.56/10.72  % cvc5---1.0.5 exiting
% 10.56/10.72  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------