TSTP Solution File: SEU362+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 16:31:10 EDT 2023
% Result : Theorem 0.22s 0.65s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n013.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 13:24:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.65 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6swtsxSNu8/cvc5---1.0.5_6342.p...
% 0.22/0.65 ------- get file name : TPTP file name is SEU362+1
% 0.22/0.65 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6342.smt2...
% 0.22/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.65 % SZS status Theorem for SEU362+1
% 0.22/0.65 % SZS output start Proof for SEU362+1
% 0.22/0.65 (
% 0.22/0.65 (let ((_let_1 (not (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted)) (=> (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)) (=> (tptp.element F (tptp.the_carrier B)) (=> (and (= E C) (= F D) (tptp.related B E F)) (tptp.related A C D))))))))))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted)) (=> (tptp.subrelstr B A) (tptp.rel_str B))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (= (tptp.related A B C) (tptp.in (tptp.ordered_pair B C) (tptp.the_InternalRel A))))))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted)) (=> (tptp.rel_str B) (= (tptp.subrelstr B A) (and (tptp.subset (tptp.the_carrier B) (tptp.the_carrier A)) (tptp.subset (tptp.the_InternalRel B) (tptp.the_InternalRel A)))))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in A B)) (not (tptp.element B (tptp.powerset C))) (not (tptp.empty C)))))) (let ((_let_10 (tptp.the_InternalRel SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_11 (tptp.empty _let_10))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.the_InternalRel SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_14 (tptp.element _let_13 (tptp.powerset _let_10)))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_17 (tptp.in _let_16 _let_13))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_15 _let_12))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (tptp.subset _let_13 _let_10))) (let ((_let_23 (= _let_22 _let_14))) (let ((_let_24 (_let_4))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_27 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_28 (and (tptp.subset _let_27 _let_26) _let_22))) (let ((_let_29 (tptp.subrelstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (tptp.rel_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.rel_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_30))) (let ((_let_36 (forall ((A $$unsorted) (BOUND_VARIABLE_966 $$unsorted)) (or (not (tptp.rel_str A)) (not (tptp.rel_str BOUND_VARIABLE_966)) (= (tptp.subrelstr BOUND_VARIABLE_966 A) (and (tptp.subset (tptp.the_carrier BOUND_VARIABLE_966) (tptp.the_carrier A)) (tptp.subset (tptp.the_InternalRel BOUND_VARIABLE_966) (tptp.the_InternalRel A)))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (not _let_29))) (let ((_let_39 (or _let_34 _let_38 _let_31))) (let ((_let_40 (forall ((A $$unsorted) (BOUND_VARIABLE_1042 $$unsorted)) (or (not (tptp.rel_str A)) (not (tptp.subrelstr BOUND_VARIABLE_1042 A)) (tptp.rel_str BOUND_VARIABLE_1042))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_27))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_47 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_26))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_27))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_26))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_34 _let_38 _let_52 _let_50 _let_48 _let_46 _let_45 _let_43))) (let ((_let_54 (forall ((A $$unsorted) (BOUND_VARIABLE_1277 $$unsorted) (BOUND_VARIABLE_1275 $$unsorted) (BOUND_VARIABLE_1273 $$unsorted)) (let ((_let_1 (tptp.the_carrier BOUND_VARIABLE_1273))) (let ((_let_2 (tptp.the_carrier A))) (or (not (tptp.rel_str A)) (not (tptp.subrelstr BOUND_VARIABLE_1273 A)) (not (tptp.element BOUND_VARIABLE_1277 _let_2)) (not (tptp.element BOUND_VARIABLE_1277 _let_1)) (not (tptp.element BOUND_VARIABLE_1275 _let_2)) (tptp.related A BOUND_VARIABLE_1277 BOUND_VARIABLE_1275) (not (tptp.element BOUND_VARIABLE_1275 _let_1)) (not (tptp.related BOUND_VARIABLE_1273 BOUND_VARIABLE_1277 BOUND_VARIABLE_1275)))))))) (let ((_let_55 (not _let_53))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (or))) (let ((_let_58 (not _let_54))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_56) :args (_let_58))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_54))) (REFL :args (_let_55)) :args _let_57)) _let_56 :args (_let_55 true _let_54)))) (let ((_let_60 (REFL :args (_let_53)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 1)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_29))) :args _let_57)) :args ((or _let_29 _let_53))) _let_59 :args (_let_29 true _let_53)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_57)) :args ((or _let_33 _let_53))) _let_59 :args (_let_33 true _let_53)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_34 _let_38 _let_31 (not _let_39)))) _let_62 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subrelstr BOUND_VARIABLE_1042 A) false))))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_31 false _let_33 false _let_29 false _let_39)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_23)) :args ((or (not _let_22) _let_14 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 1)) :args ((or _let_22 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_30)) :args ((or _let_38 _let_28 (not _let_30)))) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 _let_30 (not _let_35)))) _let_62 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subrelstr BOUND_VARIABLE_966 A)))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_30 false _let_33 false _let_31 false _let_35)) :args (_let_28 false _let_29 false _let_30)) :args (_let_22 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_13 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args _let_24))) _let_25 :args (_let_23 false _let_4)) :args (_let_14 false _let_22 false _let_23)))) (let ((_let_65 (tptp.in _let_16 _let_10))) (let ((_let_66 (tptp.element _let_16 _let_10))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_11 _let_65))) (let ((_let_69 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element A B)) (tptp.empty B) (tptp.in A B))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (or _let_18 _let_15 _let_66))) (let ((_let_72 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in A B)) (not (tptp.element B (tptp.powerset C))) (tptp.element A C))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (= _let_42 _let_17))) (let ((_let_75 (or _let_32 _let_50 _let_45 _let_74))) (let ((_let_76 (forall ((A $$unsorted) (BOUND_VARIABLE_1013 $$unsorted) (BOUND_VARIABLE_1011 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_1011 _let_1)) (not (tptp.element BOUND_VARIABLE_1013 _let_1)) (= (tptp.related A BOUND_VARIABLE_1011 BOUND_VARIABLE_1013) (tptp.in (tptp.ordered_pair BOUND_VARIABLE_1011 BOUND_VARIABLE_1013) (tptp.the_InternalRel A)))))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 ((tptp.related A BOUND_VARIABLE_1011 BOUND_VARIABLE_1013)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_74)) :args ((or _let_43 _let_17 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 7)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_57)) :args ((or _let_42 _let_53))) _let_59 :args (_let_42 true _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_50 _let_45 _let_32 _let_74 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 3)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_57)) :args ((or _let_49 _let_53))) _let_59 :args (_let_49 true _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 6)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_57)) :args ((or _let_44 _let_53))) _let_59 :args (_let_44 true _let_53)) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_75 false _let_76)) :args (_let_74 false _let_49 false _let_44 false _let_31 false _let_75)) :args (_let_17 false _let_42 false _let_74)))) (let ((_let_81 (= _let_46 _let_65))) (let ((_let_82 (not _let_65))) (let ((_let_83 (or _let_34 _let_52 _let_48 _let_81))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_16 _let_13 _let_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in A B) false)) (tptp.powerset C)))) :args (_let_9))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_12 _let_15 _let_21))) _let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_65 _let_67 _let_11 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_81)) :args ((or _let_46 _let_82 (not _let_81)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_53 5)) _let_59 :args ((not _let_46) true _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_34 _let_52 _let_48 _let_81 (not _let_83)))) _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 2)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_57)) :args ((or _let_51 _let_53))) _let_59 :args (_let_51 true _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 4)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_57)) :args ((or _let_47 _let_53))) _let_59 :args (_let_47 true _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_83 false _let_76)) :args (_let_81 false _let_33 false _let_51 false _let_47 false _let_83)) :args (_let_82 true _let_46 false _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_18 _let_66 _let_15 (not _let_71)))) _let_80 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_16 _let_13 _let_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in A B) false)) (not (= (tptp.element A C) true))))) :args (_let_72))) _let_73 :args (_let_71 false _let_72)) :args (_let_66 false _let_17 false _let_14 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_16 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A B) true))))) :args (_let_69))) _let_70 :args (_let_68 false _let_69)) :args (_let_11 true _let_65 false _let_66 false _let_68)) _let_64 :args (_let_21 false _let_17 false _let_11 false _let_14)) _let_20 :args (false true _let_19 false _let_9)) :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) (B $$unsorted) (C $$unsorted)) (=> (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))) (tptp.relation C))) (forall ((A $$unsorted)) (=> (tptp.finite A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (tptp.finite B))))) _let_8 _let_7 true true true true (forall ((A $$unsorted)) (=> (tptp.rel_str A) (tptp.one_sorted_str A))) true true true _let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation_of2_as_subset C A B) (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (tptp.rel_str A) (tptp.relation_of2_as_subset (tptp.the_InternalRel A) _let_1 _let_1)))) true (exists ((A $$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))))) (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 $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_5 _let_4 _let_3 _let_2 _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.66 )
% 0.22/0.66 % SZS output end Proof for SEU362+1
% 0.22/0.66 % cvc5---1.0.5 exiting
% 0.22/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------