%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU246+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 16:30:22 EDT 2023

% Result   : Theorem 0.17s 0.58s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU246+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.14/0.32  % Computer : n032.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Wed Aug 23 17:05:11 EDT 2023
% 0.14/0.32  % CPUTime    : 
% 0.17/0.43  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.58  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.RDSrdBcQv5/cvc5---1.0.5_26270.p...
% 0.17/0.58  ------- get file name : TPTP file name is SEU246+1
% 0.17/0.58  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26270.smt2...
% 0.17/0.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.58  % SZS status Theorem for SEU246+1
% 0.17/0.58  % SZS output start Proof for SEU246+1
% 0.17/0.58  (
% 0.17/0.58  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (= (tptp.relation_restriction B A) (tptp.relation_dom_restriction (tptp.relation_rng_restriction A B) A))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation C) (= (tptp.in A (tptp.relation_restriction C B)) (and (tptp.in A C) (tptp.in A (tptp.cartesian_product2 B B)))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 C D)) (and (tptp.in A C) (tptp.in B D)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (tptp.relation (tptp.relation_rng_restriction A B)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_restriction A B)))))) (let ((_let_6 (forall ((A $$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_7 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.relation C) (= (= C (tptp.relation_dom_restriction A B)) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ordered_pair D E))) (= (tptp.in _let_1 C) (and (tptp.in D B) (tptp.in _let_1 A)))))))))))) (let ((_let_8 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_9 (tptp.in _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_10 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_11 (and _let_10 _let_9))) (let ((_let_12 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_13 (tptp.in _let_8 _let_12))) (let ((_let_14 (= _let_13 _let_11))) (let ((_let_15 (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ordered_pair D E))) (= (and (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.in _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (tptp.in _let_1 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))))) (let ((_let_16 (tptp.relation _let_12))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_15))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_953 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.relation BOUND_VARIABLE_953)) (= (= (tptp.relation_rng_restriction A B) BOUND_VARIABLE_953) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ordered_pair D E))) (= (and (tptp.in E A) (tptp.in _let_1 B)) (tptp.in _let_1 BOUND_VARIABLE_953))))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or _let_19 _let_16))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (tptp.relation (tptp.relation_rng_restriction A B)))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (tptp.relation_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_27 (= _let_26 (tptp.relation_dom_restriction _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_28 (or _let_19 _let_27))) (let ((_let_29 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (= (tptp.relation_restriction B A) (tptp.relation_dom_restriction (tptp.relation_rng_restriction A B) A)))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (or))) (let ((_let_33 (not _let_29))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_31) :args (_let_33))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_29))) (REFL :args (_let_30)) :args _let_32)) _let_31 :args (_let_30 true _let_29)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG (REFL :args (_let_28)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_32)) :args ((or _let_18 _let_28))) _let_34 :args (_let_18 true _let_28)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_19 _let_16 (not _let_23)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_rng_restriction A B)))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_16 false _let_18 false _let_23)))) (let ((_let_37 (_let_15))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_37) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordered_pair D E)))) :args _let_37))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_17 _let_15 (not _let_20)))) _let_35 _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.relation BOUND_VARIABLE_953) false)) (tptp.relation_rng_restriction A B)))) :args (_let_21)))) _let_22 :args (_let_20 false _let_21)) :args (_let_15 false _let_18 false _let_16 false _let_20)) :args (_let_14 false _let_15)))) (let ((_let_39 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_40 (and _let_39 _let_13))) (let ((_let_41 (not _let_13))) (let ((_let_42 (and _let_39 _let_10))) (let ((_let_43 (tptp.in _let_8 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_44 (= _let_43 _let_42))) (let ((_let_45 (_let_3))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 C D))))) :args _let_45)) _let_46 :args (_let_44 false _let_3)))) (let ((_let_48 (and _let_9 _let_43))) (let ((_let_49 (tptp.in _let_8 _let_26))) (let ((_let_50 (= _let_49 _let_48))) (let ((_let_51 (or _let_19 _let_50))) (let ((_let_52 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (= (tptp.in A (tptp.relation_restriction C B)) (and (tptp.in A C) (tptp.in A (tptp.cartesian_product2 B B)))))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_19 _let_50 (not _let_51)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((tptp.in A (tptp.relation_restriction C B))))) :args (_let_52))) _let_53 :args (_let_51 false _let_52)) :args (_let_50 false _let_18 false _let_51)))) (let ((_let_55 (= _let_40 _let_49))) (let ((_let_56 (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ordered_pair D E))) (= (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.in _let_1 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (tptp.in _let_1 (tptp.relation_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))))) (let ((_let_57 (not _let_55))) (let ((_let_58 (= _let_27 _let_56))) (let ((_let_59 (not _let_56))) (let ((_let_60 (tptp.relation _let_26))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_17 _let_61 _let_58))) (let ((_let_63 (forall ((A $$unsorted) (BOUND_VARIABLE_926 $$unsorted) (BOUND_VARIABLE_924 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.relation BOUND_VARIABLE_926)) (= (= BOUND_VARIABLE_926 (tptp.relation_dom_restriction A BOUND_VARIABLE_924)) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ordered_pair D E))) (= (tptp.in _let_1 BOUND_VARIABLE_926) (and (tptp.in D BOUND_VARIABLE_924) (tptp.in _let_1 A)))))))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (or _let_19 _let_60))) (let ((_let_66 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (tptp.relation (tptp.relation_restriction A B)))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_59))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_68)) :args _let_68)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_56))) (REFL :args (_let_57)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_58)) :args ((or _let_27 _let_59 (not _let_58)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 1)) _let_34 :args ((not _let_27) true _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_17 _let_61 _let_58 (not _let_62)))) _let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_19 _let_60 (not _let_65)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_restriction A B)))) :args (_let_66))) _let_67 :args (_let_65 false _let_66)) :args (_let_60 false _let_18 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_12 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.relation BOUND_VARIABLE_926) false)) (tptp.relation_dom_restriction A BOUND_VARIABLE_924)))) :args (_let_63)))) _let_64 :args (_let_62 false _let_63)) :args (_let_58 false _let_16 false _let_60 false _let_62)) :args (_let_59 true _let_27 false _let_58)) :args (_let_57 true _let_56)))) (let ((_let_70 (_let_55))) (let ((_let_71 (REORDERING (CNF_EQUIV_NEG1 :args _let_70) :args ((or _let_40 _let_49 _let_55))))) (let ((_let_72 (not _let_50))) (let ((_let_73 (not _let_48))) (let ((_let_74 (_let_50))) (let ((_let_75 (not _let_40))) (let ((_let_76 (REORDERING (CNF_AND_POS :args (_let_40 1)) :args ((or _let_13 _let_75))))) (let ((_let_77 (not _let_11))) (let ((_let_78 (REORDERING (CNF_EQUIV_POS1 :args _let_74) :args ((or (not _let_49) _let_48 _let_72))))) (let ((_let_79 (not _let_14))) (let ((_let_80 (_let_14))) (let ((_let_81 (REORDERING (CNF_EQUIV_POS1 :args _let_80) :args ((or _let_41 _let_11 _let_79))))) (let ((_let_82 (MACRO_RESOLUTION_TRUST _let_76 _let_71 _let_69 _let_81 _let_38 _let_78 _let_54 (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_9 _let_77))) (REORDERING (CNF_AND_POS :args (_let_48 0)) :args ((or _let_9 _let_73))) :args (_let_9 false _let_40 true _let_55 true _let_13 false _let_14 true _let_49 false _let_50 true _let_11 true _let_48)))) (let ((_let_83 (not _let_44))) (let ((_let_84 (not _let_42))) (let ((_let_85 (_let_44))) (let ((_let_86 (not _let_10))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_42)) :args ((or (not _let_39) _let_42 _let_86))) (REORDERING (CNF_AND_POS :args (_let_11 0)) :args ((or _let_10 _let_77))) (REORDERING (CNF_EQUIV_POS2 :args _let_85) :args ((or _let_43 _let_84 _let_83))) _let_47 _let_81 _let_38 (CNF_AND_NEG :args (_let_48)) _let_82 _let_76 (REORDERING (CNF_AND_POS :args (_let_40 0)) :args ((or _let_39 _let_75))) (REORDERING (CNF_EQUIV_POS2 :args _let_74) :args ((or _let_49 _let_73 _let_72))) _let_54 _let_71 _let_69 :args (_let_49 false _let_10 true _let_42 false _let_44 false _let_11 false _let_14 true _let_43 false _let_9 false _let_13 false _let_39 true _let_48 false _let_50 false _let_40 true _let_55)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_85) :args ((or (not _let_43) _let_42 _let_83))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_48 1)) :args ((or _let_43 _let_73))) (MACRO_RESOLUTION_TRUST _let_78 _let_87 _let_54 :args (_let_48 false _let_49 false _let_50)) :args (_let_43 false _let_48)) _let_47 :args (_let_42 false _let_43 false _let_44)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_80) :args ((or _let_13 _let_77 _let_79))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_11)) :args ((or (not _let_9) _let_11 _let_86))) _let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 1)) :args ((or _let_10 _let_84))) _let_88 :args (_let_10 false _let_42)) :args (_let_11 false _let_9 false _let_10)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_40)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_70) _let_69 _let_87 :args (_let_75 true _let_55 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 0)) :args ((or _let_39 _let_84))) _let_88 :args (_let_39 false _let_42)) :args (_let_41 true _let_40 false _let_39)) _let_38 :args (false false _let_11 true _let_13 false _let_14)) :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_intersection2 A B) (tptp.set_intersection2 B A))) _let_7 _let_6 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (=> (tptp.relation B) (= (= A B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.ordered_pair C D))) (= (tptp.in _let_1 A) (tptp.in _let_1 B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (tptp.relation_restriction A B) (tptp.set_intersection2 A (tptp.cartesian_product2 B B)))))) true true true _let_5 true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_dom_restriction A B)))) _let_4 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_dom_restriction A B))) (=> (and (tptp.relation A) (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))) (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))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) (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 $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) _let_3 _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.17/0.58  )
% 0.17/0.58  % SZS output end Proof for SEU246+1
% 0.17/0.58  % cvc5---1.0.5 exiting
% 0.17/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------