TSTP Solution File: SEU293+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU293+1 : TPTP v8.1.2. Released v3.3.0.
% 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 16:30:40 EDT 2023
% Result : Theorem 20.63s 21.04s
% Output : Proof 20.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU293+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % 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 : Thu Aug 24 01:27:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 20.63/21.04 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.XWM6g9c5tV/cvc5---1.0.5_25114.p...
% 20.63/21.04 ------- get file name : TPTP file name is SEU293+1
% 20.63/21.04 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25114.smt2...
% 20.63/21.04 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 20.63/21.04 --- Run --no-e-matching --full-saturate-quant at 5...
% 20.63/21.04 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.63/21.04 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.63/21.04 % SZS status Theorem for SEU293+1
% 20.63/21.04 % SZS output start Proof for SEU293+1
% 20.63/21.04 (
% 20.63/21.04 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.function D) (tptp.quasi_total D A B) (tptp.relation_of2_as_subset D A B)) (=> (not (= B tptp.empty_set)) (forall ((E $$unsorted)) (= (tptp.in E (tptp.relation_inverse_image D C)) (and (tptp.in E A) (tptp.in (tptp.apply D E) C)))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.relation_of2_as_subset C A B) (tptp.relation_of2 C A B))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation_of2 C A B) (= (tptp.relation_dom_as_subset A B C) (tptp.relation_dom C)))))) (let ((_let_4 (tptp.relation tptp.empty_set))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (forall ((A $$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 $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.quasi_total C A B))) (let ((_let_2 (= A tptp.empty_set))) (let ((_let_3 (= B tptp.empty_set))) (=> (tptp.relation_of2_as_subset C A B) (and (=> (=> _let_3 _let_2) (= _let_1 (= A (tptp.relation_dom_as_subset A B C)))) (=> _let_3 (or _let_2 (= _let_1 (= C tptp.empty_set)))))))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted) (C $$unsorted)) (= (= C (tptp.relation_inverse_image A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D (tptp.relation_dom A)) (tptp.in (tptp.apply A D) B)))))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))) (tptp.relation C))))) (let ((_let_10 (tptp.relation_dom_as_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_10))) (let ((_let_12 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_13 (= _let_12 _let_10))) (let ((_let_14 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_12))) (let ((_let_16 (tptp.quasi_total SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_17 (= _let_16 _let_11))) (let ((_let_18 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_19 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_20 (and _let_19 (not _let_18)))) (let ((_let_21 (or _let_20 _let_17))) (let ((_let_22 (not _let_19))) (let ((_let_23 (and _let_21 (or _let_22 _let_18 (= _let_16 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))))) (let ((_let_24 (tptp.relation_of2_as_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.quasi_total C A B))) (let ((_let_2 (= tptp.empty_set A))) (let ((_let_3 (= tptp.empty_set B))) (or (not (tptp.relation_of2_as_subset C A B)) (and (or (and _let_3 (not _let_2)) (= _let_1 (= A (tptp.relation_dom_as_subset A B C)))) (or (not _let_3) _let_2 (= _let_1 (= tptp.empty_set C))))))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_30 (tptp.in (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_31 (and _let_14 _let_30))) (let ((_let_32 (tptp.relation_inverse_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_33 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_32))) (let ((_let_34 (= _let_33 _let_31))) (let ((_let_35 (not _let_16))) (let ((_let_36 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35 _let_25 _let_19 _let_34))) (let ((_let_39 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (BOUND_VARIABLE_1258 $$unsorted)) (or (not (tptp.function D)) (not (tptp.quasi_total D A B)) (not (tptp.relation_of2_as_subset D A B)) (= tptp.empty_set B) (= (tptp.in BOUND_VARIABLE_1258 (tptp.relation_inverse_image D C)) (and (tptp.in BOUND_VARIABLE_1258 A) (tptp.in (tptp.apply D BOUND_VARIABLE_1258) C))))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (or))) (let ((_let_43 (not _let_39))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_41) :args (_let_43))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args (_let_40)) :args _let_42)) _let_41 :args (_let_40 true _let_39)))) (let ((_let_45 (REFL :args (_let_38)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 2)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_42)) :args ((or _let_24 _let_38))) _let_44 :args (_let_24 true _let_38)))) (let ((_let_47 (not _let_20))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_17)) :args ((or _let_35 _let_11 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 1)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_16))) :args _let_42)) :args ((or _let_16 _let_38))) _let_44 :args (_let_16 true _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_17 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 0)) :args ((or _let_19 _let_47))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 3)) _let_44 :args (_let_22 true _let_38)) :args (_let_47 true _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 0)) :args ((or _let_21 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 (not _let_26)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args _let_29) :args (_let_27))) _let_28 :args (_let_26 false _let_27)) :args (_let_23 false _let_24 false _let_26)) :args (_let_21 false _let_23)) :args (_let_17 true _let_20 false _let_21)) :args (_let_11 false _let_16 false _let_17)))) (let ((_let_49 (tptp.relation_of2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_13))) (let ((_let_52 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation_of2 C A B)) (= (tptp.relation_dom_as_subset A B C) (tptp.relation_dom C)))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (= _let_24 _let_49))) (let ((_let_55 (_let_2))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_13 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_54)) :args ((or _let_25 _let_49 (not _let_54)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args _let_57) :args _let_55)) _let_56 :args (_let_54 false _let_2)) :args (_let_49 false _let_24 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_53 :args _let_29) :args (_let_52)))) _let_53 :args (_let_51 false _let_52)) :args (_let_13 false _let_49 false _let_51)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 4)) _let_44 :args ((not _let_34) true _let_38)))) (let ((_let_60 (and _let_15 _let_30))) (let ((_let_61 (= _let_33 _let_60))) (let ((_let_62 (not _let_33))) (let ((_let_63 (_let_34))) (let ((_let_64 (forall ((D $$unsorted)) (= (tptp.in D (tptp.relation_inverse_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (and (tptp.in D (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) (tptp.in (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))))) (let ((_let_65 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_37 _let_64))) (let ((_let_68 (forall ((A $$unsorted) (BOUND_VARIABLE_1028 $$unsorted) (BOUND_VARIABLE_1026 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (= (= BOUND_VARIABLE_1028 (tptp.relation_inverse_image A BOUND_VARIABLE_1026)) (forall ((D $$unsorted)) (= (tptp.in D BOUND_VARIABLE_1028) (and (tptp.in D (tptp.relation_dom A)) (tptp.in (tptp.apply A D) BOUND_VARIABLE_1026))))))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 (tptp.powerset (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_65))) (let ((_let_73 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B)))) (tptp.relation C))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (or _let_25 _let_70))) (let ((_let_76 (forall ((A $$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_77 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_64))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_78) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_37 _let_66 _let_64 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 0)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_42)) :args ((or _let_36 _let_38))) _let_44 :args (_let_36 true _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_65 _let_71 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_25 _let_70 (not _let_75)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args _let_57) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_70 false _let_24 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_29) :args (_let_73))) _let_74 :args (_let_72 false _let_73)) :args (_let_65 false _let_70 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_68)))) _let_69 :args (_let_67 false _let_68)) :args (_let_64 false _let_36 false _let_65 false _let_67)) :args (_let_61 false _let_64)))) (let ((_let_80 (not _let_61))) (let ((_let_81 (_let_61))) (let ((_let_82 (not _let_60))) (let ((_let_83 (not _let_13))) (let ((_let_84 (not _let_15))) (let ((_let_85 (not _let_11))) (let ((_let_86 (and _let_11 _let_15 _let_13))) (let ((_let_87 (ASSUME :args (_let_15)))) (let ((_let_88 (APPLY_UF tptp.in))) (let ((_let_89 (ASSUME :args (_let_13)))) (let ((_let_90 (SYMM _let_89))) (let ((_let_91 (ASSUME :args (_let_11)))) (let ((_let_92 (SYMM _let_91))) (let ((_let_93 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_86)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_87 _let_89 _let_91) (SCOPE (TRUE_ELIM (TRANS (CONG _let_93 (TRANS (SYMM _let_92) _let_90) :args _let_88) (TRUE_INTRO _let_87))) :args (_let_15 _let_13 _let_11))) :args (_let_11 _let_15 _let_13))) :args (true _let_86)) :args ((or _let_14 _let_85 _let_84 _let_83))) _let_58 _let_48 (CNF_AND_NEG :args (_let_31)) (REORDERING (CNF_AND_POS :args (_let_60 1)) :args ((or _let_30 _let_82))) (REORDERING (CNF_AND_POS :args (_let_60 0)) :args ((or _let_15 _let_82))) (REORDERING (CNF_EQUIV_POS1 :args _let_81) :args ((or _let_62 _let_60 _let_80))) _let_79 (CNF_EQUIV_NEG2 :args _let_63) _let_59 :args (_let_62 false _let_13 false _let_11 true _let_14 false _let_30 false _let_15 false _let_60 false _let_61 true _let_31 true _let_34)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_63) :args ((or _let_33 _let_31 _let_34))) _let_94 _let_59 :args (_let_31 true _let_33 true _let_34)))) (let ((_let_96 (not _let_31))) (let ((_let_97 (and _let_14 _let_11 _let_13))) (let ((_let_98 (_let_14 _let_11 _let_13))) (let ((_let_99 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_97)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_91 _let_89) (SCOPE (TRUE_ELIM (TRANS (CONG _let_93 (TRANS (SYMM _let_90) _let_92) :args _let_88) (TRUE_INTRO _let_99))) :args _let_98)) :args _let_98)) :args (true _let_97)) :args ((or (not _let_14) _let_85 _let_15 _let_83))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_60)) :args ((or (not _let_30) _let_60 _let_84))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 1)) :args ((or _let_30 _let_96))) _let_95 :args (_let_30 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_81) :args ((or _let_33 _let_82 _let_80))) _let_94 _let_79 :args (_let_82 true _let_33 false _let_61)) :args (_let_84 false _let_30 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 0)) :args ((or _let_14 _let_96))) _let_95 :args (_let_14 false _let_31)) _let_58 _let_48 :args (false true _let_15 false _let_14 false _let_13 false _let_11)) :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)) (=> (tptp.empty A) (tptp.relation A))) _let_9 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_8 _let_7 true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation_of2 C A B) (tptp.element (tptp.relation_dom_as_subset A B C) (tptp.powerset A)))) true true _let_6 (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) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.relation_of2_as_subset C A B))) (and _let_5 _let_4 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_5 (and _let_5 _let_4) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.empty A)) (not (tptp.empty B))) (not (tptp.empty (tptp.cartesian_product2 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.relation_of2 C A B) (tptp.relation C) (tptp.function C) (tptp.quasi_total C A B)))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A) (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (forall ((A $$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)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.relation_of2 C A B) (tptp.relation C) (tptp.function C)))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A) (tptp.function A))) _let_3 _let_2 (forall ((A $$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 $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.63/21.05 )
% 20.63/21.05 % SZS output end Proof for SEU293+1
% 20.63/21.05 % cvc5---1.0.5 exiting
% 20.63/21.05 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------