TSTP Solution File: SEU103+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU103+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 16:29:16 EDT 2023
% Result : Theorem 23.73s 24.09s
% Output : Proof 23.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU103+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n005.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 15:30:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 23.73/24.09 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.CKuskXObuw/cvc5---1.0.5_21430.p...
% 23.73/24.09 ------- get file name : TPTP file name is SEU103+1
% 23.73/24.09 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21430.smt2...
% 23.73/24.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 23.73/24.09 --- Run --no-e-matching --full-saturate-quant at 5...
% 23.73/24.09 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 23.73/24.09 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 23.73/24.09 % SZS status Theorem for SEU103+1
% 23.73/24.09 % SZS output start Proof for SEU103+1
% 23.73/24.09 (
% 23.73/24.09 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty C)) (tptp.preboolean C)) (=> (and (tptp.element A C) (tptp.element B C)) (tptp.element (tptp.symmetric_difference A B) C))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.preboolean A) (tptp.element B A) (tptp.element C A)) (= (tptp.prebool_difference A B C) (tptp.set_difference B C)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.preboolean A) (tptp.element B A) (tptp.element C A)) (= (tptp.prebool_union2 A B C) (tptp.set_union2 B C)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.preboolean A) (tptp.element B A) (tptp.element C A)) (tptp.element (tptp.prebool_difference A B C) A))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.preboolean A) (tptp.element B A) (tptp.element C A)) (tptp.element (tptp.prebool_union2 A B C) A))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.symmetric_difference A B) (tptp.set_union2 (tptp.set_difference A B) (tptp.set_difference B A)))))) (let ((_let_7 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_8 (tptp.element _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_9 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_10 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_11 (tptp.set_union2 _let_10 _let_9))) (let ((_let_12 (= _let_7 _let_11))) (let ((_let_13 (tptp.prebool_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_14 (= _let_10 _let_13))) (let ((_let_15 (tptp.prebool_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_16 (tptp.element (tptp.prebool_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_13 _let_15) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_17 (= _let_9 _let_15))) (let ((_let_18 (= _let_11 (tptp.prebool_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_10 _let_9)))) (let ((_let_19 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.preboolean SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_26 (or _let_25 _let_24 _let_22 _let_20 _let_8))) (let ((_let_27 (not _let_8))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.empty C) (not (tptp.preboolean C)) (not (tptp.element A C)) (not (tptp.element B C)) (tptp.element (tptp.symmetric_difference A B) C))))) (let ((_let_29 (not _let_26))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (not _let_28))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_30) :args (_let_32))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_31)) _let_30 :args (_let_29 true _let_28)))) (let ((_let_34 (_let_6))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (or _let_25 _let_24 _let_22 _let_20 _let_14))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.empty A) (not (tptp.preboolean A)) (not (tptp.element B A)) (not (tptp.element C A)) (= (tptp.prebool_difference A B C) (tptp.set_difference B C)))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 (REFL :args (_let_26)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 3)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_31)) :args ((or _let_19 _let_26))) _let_33 :args (_let_19 true _let_26)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 2)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_31)) :args ((or _let_21 _let_26))) _let_33 :args (_let_21 true _let_26)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 1)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_31)) :args ((or _let_23 _let_26))) _let_33 :args (_let_23 true _let_26)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 0)) _let_33 :args ((not _let_25) true _let_26)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_25 _let_24 _let_22 _let_20 _let_14 (not _let_36)))) _let_44 _let_43 _let_42 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_39))) _let_38 :args (_let_36 false _let_37)) :args (_let_14 true _let_25 false _let_23 false _let_21 false _let_19 false _let_36)))) (let ((_let_46 (tptp.element _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.element _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_25 _let_24 _let_49 _let_47 _let_16))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.empty A) (not (tptp.preboolean A)) (not (tptp.element B A)) (not (tptp.element C A)) (tptp.element (tptp.prebool_union2 A B C) A))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (or _let_25 _let_24 _let_20 _let_22 _let_46))) (let ((_let_54 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.empty A) (not (tptp.preboolean A)) (not (tptp.element B A)) (not (tptp.element C A)) (tptp.element (tptp.prebool_difference A B C) A))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_25 _let_24 _let_22 _let_20 _let_46 (not _let_53)))) _let_44 _let_43 _let_42 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args _let_57) :args _let_56)) _let_55 :args (_let_53 false _let_54)) :args (_let_46 true _let_25 false _let_23 false _let_21 false _let_19 false _let_53)))) (let ((_let_59 (or _let_25 _let_24 _let_22 _let_20 _let_48))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_25 _let_24 _let_22 _let_20 _let_48 (not _let_59)))) _let_44 _let_43 _let_42 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_56)) _let_55 :args (_let_59 false _let_54)) :args (_let_48 true _let_25 false _let_23 false _let_21 false _let_19 false _let_59)))) (let ((_let_61 (or _let_25 _let_24 _let_20 _let_22 _let_17))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_25 _let_24 _let_22 _let_20 _let_17 (not _let_61)))) _let_44 _let_43 _let_42 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_57) :args _let_39))) _let_38 :args (_let_61 false _let_37)) :args (_let_17 true _let_25 false _let_23 false _let_21 false _let_19 false _let_61)))) (let ((_let_63 (tptp.element _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.element _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_25 _let_24 _let_66 _let_64 _let_18))) (let ((_let_68 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.empty A) (not (tptp.preboolean A)) (not (tptp.element B A)) (not (tptp.element C A)) (= (tptp.prebool_union2 A B C) (tptp.set_union2 B C)))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (not _let_17))) (let ((_let_71 (and _let_46 _let_17))) (let ((_let_72 (_let_46 _let_17))) (let ((_let_73 (ASSUME :args (_let_46)))) (let ((_let_74 (APPLY_UF tptp.element))) (let ((_let_75 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_76 (ASSUME :args (_let_17)))) (let ((_let_77 (SYMM _let_76))) (let ((_let_78 (and _let_48 _let_14))) (let ((_let_79 (_let_48 _let_14))) (let ((_let_80 (ASSUME :args (_let_48)))) (let ((_let_81 (ASSUME :args (_let_14)))) (let ((_let_82 (SYMM _let_81))) (let ((_let_83 (not _let_16))) (let ((_let_84 (not _let_18))) (let ((_let_85 (not _let_14))) (let ((_let_86 (not _let_12))) (let ((_let_87 (ASSUME :args (_let_27)))) (let ((_let_88 (ASSUME :args (_let_12)))) (let ((_let_89 (ASSUME :args (_let_18)))) (let ((_let_90 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_87 _let_88 _let_89 _let_81 _let_76 _let_90) :args (_let_27 _let_12 _let_14 _let_17 _let_18 _let_16)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_90)) (CONG (TRANS (CONG _let_75 _let_82 _let_77 :args (APPLY_UF tptp.prebool_union2)) (SYMM _let_89) (SYMM _let_88)) _let_75 :args _let_74) (FALSE_INTRO _let_87))) :args (_let_27 _let_12 _let_18 _let_14 _let_17 _let_16)) :args ((not (and _let_27 _let_12 _let_14 _let_17 _let_18 _let_16)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_8))) (REFL :args (_let_86)) (REFL :args (_let_85)) (REFL :args (_let_70)) (REFL :args (_let_84)) (REFL :args (_let_83)) :args _let_31)) :args ((or _let_8 _let_86 _let_85 _let_84 _let_83 _let_70))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_25 _let_24 _let_66 _let_64 _let_18 (not _let_67)))) _let_44 _let_43 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_78)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_80 _let_81) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_82) _let_75 :args _let_74) (TRUE_INTRO _let_80))) :args _let_79)) :args _let_79)) :args (true _let_78)) _let_60 _let_45 :args (_let_65 false _let_48 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_71)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_73 _let_76) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_77) _let_75 :args _let_74) (TRUE_INTRO _let_73))) :args _let_72)) :args _let_72)) :args (true _let_71)) :args ((or _let_47 _let_63 _let_70))) _let_58 _let_62 :args (_let_63 false _let_46 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_10 _let_9 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_68)))) _let_69 :args (_let_67 false _let_68)) :args (_let_18 true _let_25 false _let_23 false _let_65 false _let_63 false _let_67)) _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_25 _let_24 _let_49 _let_47 _let_16 (not _let_50)))) _let_44 _let_43 _let_60 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_13 _let_15 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_51))) _let_52 :args (_let_50 false _let_51)) :args (_let_16 true _let_25 false _let_23 false _let_48 false _let_46 false _let_50)) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_34)) _let_35 :args (_let_12 false _let_6)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 4)) _let_33 :args (_let_27 true _let_26)) :args (false false _let_18 false _let_17 false _let_16 false _let_14 false _let_12 true _let_8)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.finite A))) (forall ((A $$unsorted)) (=> (tptp.preboolean A) (and (tptp.cup_closed A) (tptp.diff_closed A)))) (forall ((A $$unsorted)) (=> (tptp.finite A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (tptp.finite B))))) (forall ((A $$unsorted)) (=> (and (tptp.cup_closed A) (tptp.diff_closed A)) (tptp.preboolean A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.preboolean A) (tptp.element B A) (tptp.element C A)) (= (tptp.prebool_union2 A B C) (tptp.prebool_union2 A C B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.symmetric_difference A B) (tptp.symmetric_difference B A))) _let_6 _let_5 _let_4 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.finite A) (tptp.finite (tptp.set_difference A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.finite A) (tptp.finite B)) (tptp.finite (tptp.symmetric_difference A B)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) (tptp.empty tptp.empty_set) (forall ((A $$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 $$unsorted)) (=> (and (tptp.finite A) (tptp.finite B)) (tptp.finite (tptp.set_union2 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.preboolean A) (tptp.element B A) (tptp.element C A)) (= (tptp.prebool_union2 A B B) B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.finite A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.cup_closed A) (tptp.cap_closed A) (tptp.diff_closed A) (tptp.preboolean A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B) (tptp.relation B) (tptp.function B) (tptp.one_to_one B) (tptp.epsilon_transitive B) (tptp.epsilon_connected B) (tptp.ordinal B) (tptp.natural B) (tptp.finite B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_1 (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 $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted)) (= (tptp.set_difference tptp.empty_set A) tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted)) (= (tptp.symmetric_difference A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 23.73/24.09 )
% 23.73/24.09 % SZS output end Proof for SEU103+1
% 23.73/24.09 % cvc5---1.0.5 exiting
% 23.73/24.10 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------