TSTP Solution File: SEU240+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU240+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 16:30:19 EDT 2023

% Result   : Theorem 0.15s 0.56s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SEU240+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10  % Command    : do_cvc5 %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Wed Aug 23 19:52:26 EDT 2023
% 0.10/0.29  % CPUTime    : 
% 0.15/0.39  %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.56  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.QgeKl8kEjq/cvc5---1.0.5_16558.p...
% 0.15/0.56  ------- get file name : TPTP file name is SEU240+1
% 0.15/0.56  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16558.smt2...
% 0.15/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.15/0.56  % SZS status Theorem for SEU240+1
% 0.15/0.56  % SZS output start Proof for SEU240+1
% 0.15/0.56  (
% 0.15/0.56  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_field C))) (=> (tptp.relation C) (=> (tptp.in (tptp.ordered_pair A B) C) (and (tptp.in A _let_1) (tptp.in B _let_1)))))))) (let ((_let_2 (not (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.transitive A) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.in (tptp.ordered_pair B C) A) (tptp.in (tptp.ordered_pair C D) A)) (tptp.in (tptp.ordered_pair B D) A))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (tptp.is_transitive_in A B) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.in C B) (tptp.in D B) (tptp.in E B) (tptp.in (tptp.ordered_pair C D) A) (tptp.in (tptp.ordered_pair D E) A)) (tptp.in (tptp.ordered_pair C E) A))))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.transitive A) (tptp.is_transitive_in A (tptp.relation_field A))))))) (let ((_let_5 (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.relation_field SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.in C _let_1)) (not (tptp.in D _let_1)) (not (tptp.in E _let_1)) (not (tptp.in (tptp.ordered_pair C D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.in (tptp.ordered_pair D E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.in (tptp.ordered_pair C E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_6 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.relation_field SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 _let_11))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 _let_11))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 _let_11))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_13 _let_10 _let_8 _let_6))) (let ((_let_19 (tptp.is_transitive_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11))) (let ((_let_20 (= _let_19 _let_5))) (let ((_let_21 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20))) (let ((_let_24 (forall ((A $$unsorted) (BOUND_VARIABLE_875 $$unsorted)) (or (not (tptp.relation A)) (= (tptp.is_transitive_in A BOUND_VARIABLE_875) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.in C BOUND_VARIABLE_875)) (not (tptp.in D BOUND_VARIABLE_875)) (not (tptp.in E BOUND_VARIABLE_875)) (not (tptp.in (tptp.ordered_pair C D) A)) (not (tptp.in (tptp.ordered_pair D E) A)) (tptp.in (tptp.ordered_pair C E) A)))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.in (tptp.ordered_pair B C) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.in (tptp.ordered_pair C D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.in (tptp.ordered_pair B D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_27 (tptp.transitive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (= _let_27 _let_26))) (let ((_let_29 (or _let_22 _let_28))) (let ((_let_30 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.transitive A) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.in (tptp.ordered_pair B C) A)) (not (tptp.in (tptp.ordered_pair C D) A)) (tptp.in (tptp.ordered_pair B D) A)))))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or))) (let ((_let_34 (not _let_30))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_32) :args (_let_34))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_31)) :args _let_33)) _let_32 :args (_let_31 true _let_30)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG (REFL :args (_let_29)) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_33)) :args ((or _let_21 _let_29))) _let_35 :args (_let_21 true _let_29)))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_20 (not _let_23)))) _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.is_transitive_in A BOUND_VARIABLE_875)))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_20 false _let_21 false _let_23)))) (let ((_let_38 (= _let_27 _let_19))) (let ((_let_39 (or _let_22 _let_38))) (let ((_let_40 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.transitive A) (tptp.is_transitive_in A (tptp.relation_field A))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_22 _let_38 (not _let_39)))) _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_38 false _let_21 false _let_39)))) (let ((_let_43 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_43))) (let ((_let_49 (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_11)) (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_11)) (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_11)) _let_47 _let_45 _let_43))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 1)) _let_35 :args ((not _let_28) true _let_29)))) (let ((_let_51 (_let_28))) (let ((_let_52 (not _let_38))) (let ((_let_53 (not _let_19))) (let ((_let_54 (_let_38))) (let ((_let_55 (_let_26))) (let ((_let_56 (not _let_20))) (let ((_let_57 (not _let_5))) (let ((_let_58 (_let_20))) (let ((_let_59 (_let_57))) (let ((_let_60 (REFL :args (_let_49)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_45 _let_43 (not _let_48)))) (CNF_OR_NEG :args (_let_49 5)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 4)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_33)) :args ((or _let_44 _let_49))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 3)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_33)) :args ((or _let_46 _let_49))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_59)) :args _let_59)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_5))) (REFL :args ((not _let_49))) :args _let_33)) (REORDERING (CNF_EQUIV_POS2 :args _let_58) :args ((or _let_19 _let_57 _let_56))) _let_37 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_55) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING ((tptp.ordered_pair B C) (tptp.ordered_pair C D)))) :args _let_55)) (REORDERING (CNF_EQUIV_POS2 :args _let_54) :args ((or _let_27 _let_53 _let_52))) _let_42 (REORDERING (CNF_EQUIV_NEG1 :args _let_51) :args ((or _let_27 _let_26 _let_28))) _let_50 :args (_let_27 true _let_43 false _let_44 false _let_46 true _let_49 true _let_5 false _let_20 false _let_48 true _let_19 false _let_38 false _let_26 true _let_28)))) (let ((_let_62 (not _let_18))) (let ((_let_63 (and _let_14 _let_12))) (let ((_let_64 (or _let_22 _let_8 _let_63))) (let ((_let_65 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_field C))) (or (not (tptp.relation C)) (not (tptp.in (tptp.ordered_pair A B) C)) (and (tptp.in A _let_1) (tptp.in B _let_1))))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (_let_65))) (let ((_let_68 ((not (= (tptp.in (tptp.ordered_pair A B) C) false))))) (let ((_let_69 (or _let_10 _let_8 _let_6))) (let ((_let_70 (not _let_69))) (let ((_let_71 (not _let_26))) (let ((_let_72 (_let_71))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_72)) :args _let_72)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_26))) (REFL :args (_let_70)) :args _let_33)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_51) _let_50 _let_61 :args (_let_71 true _let_28 false _let_27)) :args (_let_70 true _let_26)))) (let ((_let_74 (REFL :args (_let_69)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 1)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_33)) :args ((or _let_7 _let_69))) _let_73 :args (_let_7 true _let_69)))) (let ((_let_76 (and _let_16 _let_14))) (let ((_let_77 (or _let_22 _let_10 _let_76))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 0)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_33)) :args ((or _let_9 _let_69))) _let_73 :args (_let_9 true _let_69)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_22 _let_10 _let_76 (not _let_77)))) _let_36 _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_67)) _let_66 :args (_let_77 false _let_65)) :args (_let_76 false _let_21 false _let_9 false _let_77)))) (let ((_let_80 (not _let_76))) (let ((_let_81 (_let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_81) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING ((tptp.ordered_pair C D) (not (= (tptp.in E _let_11) false))))) :args _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_10 _let_8 _let_6 _let_17 _let_15 _let_13 _let_62))) _let_78 _let_75 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_69 2)) _let_73 :args ((not _let_6) true _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_76 0)) :args ((or _let_16 _let_80))) _let_79 :args (_let_16 false _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_76 1)) :args ((or _let_14 _let_80))) _let_79 :args (_let_14 false _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_63 1)) :args ((or _let_12 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_22 _let_8 _let_63 (not _let_64)))) _let_36 _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_67)) _let_66 :args (_let_64 false _let_65)) :args (_let_63 false _let_21 false _let_7 false _let_64)) :args (_let_12 false _let_63)) :args (_let_62 false _let_9 false _let_7 true _let_6 false _let_16 false _let_14 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_58) :args ((or _let_53 _let_5 _let_56))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_54) :args ((or (not _let_27) _let_19 _let_52))) _let_61 _let_42 :args (_let_19 false _let_27 false _let_38)) _let_37 :args (_let_5 false _let_19 false _let_20)) :args (false true _let_18 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one 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))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.relation_field A) (tptp.set_union2 (tptp.relation_dom A) (tptp.relation_rng A))))) _let_3 true true true true true true true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (forall ((A $$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 $$unsorted)) (= (tptp.set_union2 A A) A)) _let_2 (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_1 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.15/0.57  )
% 0.15/0.57  % SZS output end Proof for SEU240+1
% 0.15/0.57  % cvc5---1.0.5 exiting
% 0.43/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------