%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 16:30:23 EDT 2023

% Result   : Theorem 46.04s 46.36s
% Output   : Proof 46.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n012.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
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Wed Aug 23 16:36:57 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 46.04/46.36  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.l9iEqDVj9J/cvc5---1.0.5_2342.p...
% 46.04/46.36  ------- get file name : TPTP file name is SEU248+1
% 46.04/46.36  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2342.smt2...
% 46.04/46.36  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 46.04/46.36  --- Run --no-e-matching --full-saturate-quant at 5...
% 46.04/46.36  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 46.04/46.36  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 46.04/46.36  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 46.04/46.36  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 46.04/46.36  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 46.04/46.36  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.04/46.36  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 46.04/46.36  % SZS status Theorem for SEU248+1
% 46.04/46.36  % SZS output start Proof for SEU248+1
% 46.04/46.36  (
% 46.04/46.36  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (tptp.subset (tptp.relation_dom (tptp.relation_rng_restriction A B)) (tptp.relation_dom B))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (tptp.relation (tptp.relation_rng_restriction A B)))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (= B (tptp.relation_dom A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (tptp.in (tptp.ordered_pair C D) A)))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (forall ((C $$unsorted)) (=> (tptp.relation C) (= (= C (tptp.relation_rng_restriction A B)) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ordered_pair D E))) (= (tptp.in _let_1 C) (and (tptp.in E A) (tptp.in _let_1 B)))))))))))) (let ((_let_6 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_8 (tptp.in _let_7 _let_6))) (let ((_let_9 (tptp.in _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (and (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_9))) (let ((_let_11 (= _let_8 _let_10))) (let ((_let_12 (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D) (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.relation_dom _let_6))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_14))) (let ((_let_16 (= _let_15 _let_13))) (let ((_let_17 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (tptp.in C (tptp.relation_dom (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_18 (forall ((B $$unsorted)) (= (= B (tptp.relation_dom (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (forall ((C $$unsorted)) (= (tptp.in C B) (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))))))) (let ((_let_19 (tptp.relation _let_6))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18))) (let ((_let_22 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (forall ((B $$unsorted)) (= (= B (tptp.relation_dom A)) (forall ((C $$unsorted)) (= (tptp.in C B) (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) A)))))))))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_22))) (let ((_let_25 ((not (= (tptp.relation A) false))))) (let ((_let_26 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_19))) (let ((_let_29 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (tptp.relation (tptp.relation_rng_restriction A B)))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (tptp.subset _let_14 _let_31))) (let ((_let_33 (or _let_27 _let_32))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (tptp.subset (tptp.relation_dom (tptp.relation_rng_restriction A B)) (tptp.relation_dom B)))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (or))) (let ((_let_38 (not _let_34))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_36) :args (_let_38))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_34))) (REFL :args (_let_35)) :args _let_37)) _let_36 :args (_let_35 true _let_34)))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_37)) :args ((or _let_26 _let_33))) _let_39 :args (_let_26 true _let_33)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_19 (not _let_28)))) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_rng_restriction A B)))) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_19 false _let_26 false _let_28)))) (let ((_let_42 (_let_18))) (let ((_let_43 (_let_17))) (let ((_let_44 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_31))) (let ((_let_45 (not _let_15))) (let ((_let_46 (or _let_45 _let_44))) (let ((_let_47 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.relation_dom (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.in C (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (= _let_32 _let_47))) (let ((_let_50 (not _let_47))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_50))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_47))) (REFL :args (_let_48)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_49)) :args ((or _let_32 _let_50 (not _let_49)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_33 1)) _let_39 :args ((not _let_32) true _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_14 _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args (_let_51))) _let_52 :args (_let_49 false _let_51)) :args (_let_50 true _let_32 false _let_49)) :args (_let_48 true _let_47)))) (let ((_let_55 (not _let_8))) (let ((_let_56 (_let_13))) (let ((_let_57 (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ordered_pair D E))) (= (tptp.in _let_1 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (and (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.in _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_58 (or _let_20 _let_57))) (let ((_let_59 (forall ((C $$unsorted)) (or (not (tptp.relation C)) (= (= C (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ordered_pair D E))) (= (tptp.in _let_1 C) (and (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.in _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))))))) (let ((_let_60 (or _let_27 _let_59))) (let ((_let_61 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (forall ((C $$unsorted)) (or (not (tptp.relation C)) (= (= C (tptp.relation_rng_restriction A B)) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ordered_pair D E))) (= (tptp.in _let_1 C) (and (tptp.in E A) (tptp.in _let_1 B)))))))))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_59))) (let ((_let_64 (_let_57))) (let ((_let_65 (not _let_10))) (let ((_let_66 (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_67 (not _let_66))) (let ((_let_68 (= _let_44 _let_67))) (let ((_let_69 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.in C (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_70 (forall ((B $$unsorted)) (= (= B (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (forall ((C $$unsorted)) (= (tptp.in C B) (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))))))) (let ((_let_71 (or _let_27 _let_70))) (let ((_let_72 (_let_70))) (let ((_let_73 (_let_69))) (let ((_let_74 (not _let_68))) (let ((_let_75 (_let_66))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or _let_55 _let_10 (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_10 1)) :args ((or _let_9 _let_65))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_75) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D)))) :args _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_68)) (CONG (REFL :args (_let_74)) (REFL :args (_let_44)) (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args _let_37)) :args ((or _let_44 _let_66 _let_74))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_46 1)) _let_54 :args ((not _let_44) true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_73) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in C _let_31)))) :args _let_73))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_72) :args (_let_31 QUANTIFIERS_INST_ENUM)) :args _let_72))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_27 _let_70 (not _let_71)))) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_23 :args (_let_71 false _let_22)) :args (_let_70 false _let_26 false _let_71)) :args (_let_69 false _let_70)) :args (_let_68 false _let_69)) :args (_let_66 true _let_44 false _let_68)) :args ((not _let_9) false _let_66)) :args (_let_65 true _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_64) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordered_pair D E)))) :args _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_20 _let_57 (not _let_58)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_63) :args (_let_6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_63))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_27 _let_59 (not _let_60)))) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_61))) _let_62 :args (_let_60 false _let_61)) :args (_let_59 false _let_26 false _let_60)) :args (_let_58 false _let_59)) :args (_let_57 false _let_19 false _let_58)) :args (_let_11 false _let_57)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56) (REWRITE :args ((=> _let_13 (not _let_55)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) (REFL :args (_let_8)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_16)) :args ((or _let_45 _let_13 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG (REFL :args (_let_46)) (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_15))) :args _let_37)) :args ((or _let_15 _let_46))) _let_54 :args (_let_15 true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in C _let_14)))) :args _let_43))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_42) :args (_let_14 QUANTIFIERS_INST_ENUM)) :args _let_42))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_18 (not _let_21)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_23 :args (_let_21 false _let_22)) :args (_let_18 false _let_19 false _let_21)) :args (_let_17 false _let_18)) :args (_let_16 false _let_17)) :args (_let_13 false _let_15 false _let_16)) :args (_let_8 true _let_12)) :args (false true _let_10 false _let_11 false _let_8)) :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))) _let_5 _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) true true true true true true _let_2 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)) (let ((_let_1 (tptp.relation_rng_restriction A B))) (=> (and (tptp.relation B) (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))) _let_1 (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) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$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) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted) (B $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 46.04/46.37  )
% 46.04/46.37  % SZS output end Proof for SEU248+1
% 46.04/46.37  % cvc5---1.0.5 exiting
% 46.04/46.37  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------