%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU363+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n001.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 16:31:11 EDT 2023

% Result   : Theorem 0.22s 0.71s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SEU363+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.16  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n001.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Wed Aug 23 19:50:25 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.71  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.K2F1TLFV3r/cvc5---1.0.5_21235.p...
% 0.22/0.71  ------- get file name : TPTP file name is SEU363+1
% 0.22/0.71  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21235.smt2...
% 0.22/0.71  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.71  % SZS status Theorem for SEU363+1
% 0.22/0.71  % SZS output start Proof for SEU363+1
% 0.22/0.71  (
% 0.22/0.71  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted)) (=> (and (tptp.full_subrelstr B A) (tptp.subrelstr B A)) (forall ((C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (forall ((E $$unsorted)) (=> (tptp.element E (tptp.the_carrier B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.the_carrier B))) (=> (tptp.element F _let_1) (=> (and (= E C) (= F D) (tptp.related A C D) (tptp.in E _let_1) (tptp.in F _let_1)) (tptp.related B E F)))))))))))))))))) (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 $$unsorted)) (=> (tptp.relation A) (= (tptp.relation_restriction_as_relation_of A B) (tptp.relation_restriction A B)))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (tptp.rel_str A) (tptp.relation_of2_as_subset (tptp.the_InternalRel A) _let_1 _let_1)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation_of2_as_subset C A B) (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted)) (=> (tptp.subrelstr B A) (tptp.rel_str B))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (= (tptp.related A B C) (tptp.in (tptp.ordered_pair B C) (tptp.the_InternalRel A))))))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted)) (=> (tptp.subrelstr B A) (= (tptp.full_subrelstr B A) (= (tptp.the_InternalRel B) (tptp.relation_restriction_as_relation_of (tptp.the_InternalRel A) (tptp.the_carrier B)))))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))) (tptp.relation C))))) (let ((_let_11 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_12 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_13 (tptp.in _let_12 (tptp.cartesian_product2 _let_11 _let_11)))) (let ((_let_14 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_11))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_11))) (let ((_let_16 (and _let_15 _let_14))) (let ((_let_17 (= _let_13 _let_16))) (let ((_let_18 (tptp.the_InternalRel SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_19 (tptp.in _let_12 _let_18))) (let ((_let_20 (and _let_19 _let_13))) (let ((_let_21 (not _let_13))) (let ((_let_22 (tptp.relation_restriction _let_18 _let_11))) (let ((_let_23 (tptp.in _let_12 _let_22))) (let ((_let_24 (= _let_23 _let_20))) (let ((_let_25 (not _let_20))) (let ((_let_26 (tptp.relation _let_18))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_24))) (let ((_let_29 (forall ((A $$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_30 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_32 (tptp.element _let_18 (tptp.powerset (tptp.cartesian_product2 _let_31 _let_31))))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_26))) (let ((_let_35 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B)))) (tptp.relation C))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (tptp.relation_of2_as_subset _let_18 _let_31 _let_31))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_32))) (let ((_let_40 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation_of2_as_subset C A B)) (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (tptp.rel_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_37))) (let ((_let_45 (forall ((A $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.rel_str A)) (tptp.relation_of2_as_subset (tptp.the_InternalRel A) _let_1 _let_1)))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_48 (not _let_14))) (let ((_let_49 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_11))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_31))) (let ((_let_54 (not _let_53))) (let ((_let_55 (not _let_15))) (let ((_let_56 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_11))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_31))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.subrelstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.full_subrelstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_43 _let_63 _let_61 _let_59 _let_57 _let_55 _let_54 _let_52 _let_50 _let_48 _let_47))) (let ((_let_65 (forall ((A $$unsorted) (BOUND_VARIABLE_1362 $$unsorted) (BOUND_VARIABLE_1360 $$unsorted) (BOUND_VARIABLE_1358 $$unsorted)) (let ((_let_1 (tptp.the_carrier BOUND_VARIABLE_1358))) (let ((_let_2 (tptp.the_carrier A))) (or (not (tptp.rel_str A)) (not (tptp.full_subrelstr BOUND_VARIABLE_1358 A)) (not (tptp.subrelstr BOUND_VARIABLE_1358 A)) (not (tptp.element BOUND_VARIABLE_1362 _let_2)) (not (tptp.element BOUND_VARIABLE_1362 _let_1)) (not (tptp.in BOUND_VARIABLE_1362 _let_1)) (not (tptp.element BOUND_VARIABLE_1360 _let_2)) (not (tptp.related A BOUND_VARIABLE_1362 BOUND_VARIABLE_1360)) (not (tptp.element BOUND_VARIABLE_1360 _let_1)) (not (tptp.in BOUND_VARIABLE_1360 _let_1)) (tptp.related BOUND_VARIABLE_1358 BOUND_VARIABLE_1362 BOUND_VARIABLE_1360))))))) (let ((_let_66 (not _let_64))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (or))) (let ((_let_69 (not _let_65))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_67) :args (_let_69))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_65))) (REFL :args (_let_66)) :args _let_68)) _let_67 :args (_let_66 true _let_65)))) (let ((_let_71 (REFL :args (_let_64)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 0)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_68)) :args ((or _let_42 _let_64))) _let_70 :args (_let_42 true _let_64)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_26 _let_33 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_32 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_37 (not _let_44)))) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rel_str A) false))))) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_37 false _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_31 _let_31 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation_of2_as_subset C A B) false))))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_32 false _let_37 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_31 _let_31 _let_18 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))) false))))) :args (_let_35))) _let_36 :args (_let_34 false _let_35)) :args (_let_26 false _let_32 false _let_34)))) (let ((_let_74 (tptp.relation_restriction_as_relation_of _let_18 _let_11))) (let ((_let_75 (= _let_74 _let_22))) (let ((_let_76 (tptp.the_InternalRel SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_77 (= _let_76 _let_74))) (let ((_let_78 (tptp.in _let_12 _let_76))) (let ((_let_79 (not _let_23))) (let ((_let_80 (or _let_27 _let_75))) (let ((_let_81 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (= (tptp.relation_restriction_as_relation_of A B) (tptp.relation_restriction A B)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (= _let_62 _let_77))) (let ((_let_84 (or _let_43 _let_61 _let_83))) (let ((_let_85 (forall ((A $$unsorted) (BOUND_VARIABLE_1023 $$unsorted)) (or (not (tptp.rel_str A)) (not (tptp.subrelstr BOUND_VARIABLE_1023 A)) (= (tptp.full_subrelstr BOUND_VARIABLE_1023 A) (= (tptp.the_InternalRel BOUND_VARIABLE_1023) (tptp.relation_restriction_as_relation_of (tptp.the_InternalRel A) (tptp.the_carrier BOUND_VARIABLE_1023)))))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 2)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_68)) :args ((or _let_60 _let_64))) _let_70 :args (_let_60 true _let_64)))) (let ((_let_88 (= _let_47 _let_78))) (let ((_let_89 (not _let_78))) (let ((_let_90 (tptp.rel_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_57 _let_50 _let_88))) (let ((_let_93 (forall ((A $$unsorted) (BOUND_VARIABLE_1069 $$unsorted) (BOUND_VARIABLE_1067 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_1067 _let_1)) (not (tptp.element BOUND_VARIABLE_1069 _let_1)) (= (tptp.related A BOUND_VARIABLE_1067 BOUND_VARIABLE_1069) (tptp.in (tptp.ordered_pair BOUND_VARIABLE_1067 BOUND_VARIABLE_1069) (tptp.the_InternalRel A)))))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (_let_93))) (let ((_let_96 ((tptp.related A BOUND_VARIABLE_1067 BOUND_VARIABLE_1069)))) (let ((_let_97 (or _let_43 _let_61 _let_90))) (let ((_let_98 (forall ((A $$unsorted) (BOUND_VARIABLE_1106 $$unsorted)) (or (not (tptp.rel_str A)) (not (tptp.subrelstr BOUND_VARIABLE_1106 A)) (tptp.rel_str BOUND_VARIABLE_1106))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (not _let_75))) (let ((_let_101 (not _let_77))) (let ((_let_102 (and _let_77 _let_89 _let_75))) (let ((_let_103 (ASSUME :args (_let_89)))) (let ((_let_104 (ASSUME :args (_let_77)))) (let ((_let_105 (ASSUME :args (_let_75)))) (let ((_let_106 (= _let_51 _let_19))) (let ((_let_107 (or _let_43 _let_59 _let_54 _let_106))) (let ((_let_108 (_let_3))) (let ((_let_109 (ASSUME :args _let_108))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_17)) :args ((or _let_13 (not _let_16) (not _let_17)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_11 _let_11 QUANTIFIERS_INST_E_MATCHING ((tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 C D))))) :args _let_108)) _let_109 :args (_let_17 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_16)) :args ((or _let_55 _let_48 _let_16))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 5)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_15))) :args _let_68)) :args ((or _let_15 _let_64))) _let_70 :args (_let_15 true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 9)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_14))) :args _let_68)) :args ((or _let_14 _let_64))) _let_70 :args (_let_14 true _let_64)) :args (_let_16 false _let_15 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_20)) :args ((or (not _let_19) _let_20 _let_21))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_106)) :args ((or _let_52 _let_19 (not _let_106)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 7)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_68)) :args ((or _let_51 _let_64))) _let_70 :args (_let_51 true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_43 _let_59 _let_54 _let_106 (not _let_107)))) _let_72 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 3)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_68)) :args ((or _let_58 _let_64))) _let_70 :args (_let_58 true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 6)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_68)) :args ((or _let_53 _let_64))) _let_70 :args (_let_53 true _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_107 false _let_93)) :args (_let_106 false _let_42 false _let_58 false _let_53 false _let_107)) :args (_let_19 false _let_51 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_24)) :args ((or _let_23 _let_25 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_102)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_103 _let_104 _let_105) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_12)) (TRANS (SYMM _let_105) (SYMM _let_104)) :args (APPLY_UF tptp.in)) (FALSE_INTRO _let_103))) :args (_let_89 _let_77 _let_75))) :args (_let_77 _let_89 _let_75))) :args (true _let_102)) (CONG (REFL :args (_let_101)) (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_78))) (REFL :args (_let_100)) (REFL :args (_let_79)) :args _let_68)) :args ((or _let_78 _let_101 _let_100 _let_79))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_88)) :args ((or _let_47 _let_89 (not _let_88)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_64 10)) _let_70 :args ((not _let_47) true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_57 _let_50 _let_91 _let_88 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 4)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_68)) :args ((or _let_56 _let_64))) _let_70 :args (_let_56 true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 8)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_68)) :args ((or _let_49 _let_64))) _let_70 :args (_let_49 true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_43 _let_61 _let_90 (not _let_97)))) _let_72 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subrelstr BOUND_VARIABLE_1106 A) false))))) :args (_let_98))) _let_99 :args (_let_97 false _let_98)) :args (_let_90 false _let_42 false _let_60 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_92 false _let_93)) :args (_let_88 false _let_56 false _let_49 false _let_90 false _let_92)) :args (_let_89 true _let_47 false _let_88)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_83)) :args ((or _let_63 _let_77 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 1)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) :args _let_68)) :args ((or _let_62 _let_64))) _let_70 :args (_let_62 true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_43 _let_61 _let_83 (not _let_84)))) _let_72 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subrelstr BOUND_VARIABLE_1023 A) false))))) :args (_let_85))) _let_86 :args (_let_84 false _let_85)) :args (_let_83 false _let_42 false _let_60 false _let_84)) :args (_let_77 false _let_62 false _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_27 _let_75 (not _let_80)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_18 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_restriction_as_relation_of A B)))) :args (_let_81))) _let_82 :args (_let_80 false _let_81)) :args (_let_75 false _let_26 false _let_80)) :args (_let_79 true _let_78 false _let_77 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_24 (not _let_28)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_12 _let_11 _let_18 QUANTIFIERS_INST_E_MATCHING ((tptp.in A (tptp.relation_restriction C B))))) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_24 false _let_26 false _let_28)) :args (_let_25 true _let_23 false _let_24)) :args (_let_21 false _let_19 true _let_20)) :args (false false _let_17 false _let_16 true _let_13)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.finite A))) _let_10 (forall ((A $$unsorted)) (=> (tptp.finite A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (tptp.finite B))))) _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation_of2_as_subset (tptp.relation_restriction_as_relation_of A B) B B))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_restriction A B)))) true true (forall ((A $$unsorted)) (=> (tptp.rel_str A) (tptp.one_sorted_str A))) true true true _let_7 _let_6 _let_5 true (exists ((A $$unsorted)) (tptp.rel_str A)) (exists ((A $$unsorted)) (tptp.one_sorted_str A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.relation_of2 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted)) (=> (tptp.rel_str A) (exists ((B $$unsorted)) (tptp.subrelstr B A)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.relation_of2_as_subset C A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.finite A) (tptp.finite B)) (tptp.finite (tptp.cartesian_product2 A B)))) (tptp.empty tptp.empty_set) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.finite A))) (exists ((A $$unsorted)) (tptp.empty A)) (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 $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) _let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.relation_of2_as_subset C A B) (tptp.relation_of2 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_3 _let_2 (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)))) _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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.72  )
% 0.22/0.72  % SZS output end Proof for SEU363+1
% 0.22/0.72  % cvc5---1.0.5 exiting
% 0.22/0.72  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------