TSTP Solution File: SEU290+1 by cvc5---1.0.5

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU290+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 16:30:39 EDT 2023

% Result   : Theorem 25.76s 26.00s
% Output   : Proof 25.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEU290+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Wed Aug 23 13:16:22 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 25.76/26.00  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.1vC1MyzbXv/cvc5---1.0.5_28186.p...
% 25.76/26.00  ------- get file name : TPTP file name is SEU290+1
% 25.76/26.00  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28186.smt2...
% 25.76/26.00  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.76/26.00  --- Run --no-e-matching --full-saturate-quant at 5...
% 25.76/26.00  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.76/26.00  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.76/26.00  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.76/26.00  % SZS status Theorem for SEU290+1
% 25.76/26.00  % SZS output start Proof for SEU290+1
% 25.76/26.00  (
% 25.76/26.00  (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)) (=> (tptp.in C A) (or (= B tptp.empty_set) (tptp.in (tptp.apply D C) (tptp.relation_rng D))))))))) (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)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted)) (= (= B (tptp.relation_rng A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (and (tptp.in D (tptp.relation_dom A)) (= C (tptp.apply A D)))))))))))) (let ((_let_8 (forall ((A $$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_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))) (tptp.relation C))))) (let ((_let_10 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_11 (tptp.relation_dom_as_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_11))) (let ((_let_13 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_14 (= _let_11 _let_13))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_13))) (let ((_let_16 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_17 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_18 (tptp.in _let_17 _let_16))) (let ((_let_19 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_20 (not _let_10))) (let ((_let_21 (tptp.relation_of2_as_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.quasi_total SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22 _let_20 _let_19 _let_18))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.function D)) (not (tptp.quasi_total D A B)) (not (tptp.relation_of2_as_subset D A B)) (not (tptp.in C A)) (= tptp.empty_set B) (tptp.in (tptp.apply D C) (tptp.relation_rng D)))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (not _let_28))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_30) :args (_let_32))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_31)) _let_30 :args (_let_29 true _let_28)))) (let ((_let_34 (REFL :args (_let_27)))) (let ((_let_35 (= _let_23 _let_12))) (let ((_let_36 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_37 (and _let_19 (not _let_36)))) (let ((_let_38 (or _let_37 _let_35))) (let ((_let_39 (not _let_19))) (let ((_let_40 (and _let_38 (or _let_39 _let_36 (= _let_23 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))))) (let ((_let_41 (or _let_22 _let_40))) (let ((_let_42 (forall ((A $$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_43 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 2)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_31)) :args ((or _let_21 _let_27))) _let_33 :args (_let_21 true _let_27)))) (let ((_let_45 (not _let_37))) (let ((_let_46 (tptp.relation_of2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_14))) (let ((_let_49 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation_of2 C A B)) (= (tptp.relation_dom_as_subset A B C) (tptp.relation_dom C)))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (= _let_21 _let_46))) (let ((_let_52 (_let_2))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (not (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 D))))))) (let ((_let_55 (not _let_15))) (let ((_let_56 (not _let_54))) (let ((_let_57 (= _let_18 _let_56))) (let ((_let_58 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (not (= C (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 D)))))) (tptp.in C (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))))) (let ((_let_59 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_26 _let_58))) (let ((_let_62 (forall ((A $$unsorted) (BOUND_VARIABLE_1078 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (= (= (tptp.relation_rng A) BOUND_VARIABLE_1078) (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom A))) (not (= C (tptp.apply A D)))))) (tptp.in C BOUND_VARIABLE_1078)))))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 (tptp.powerset (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_59))) (let ((_let_67 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B)))) (tptp.relation C))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (or _let_22 _let_64))) (let ((_let_70 (forall ((A $$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_71 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_58))) (let ((_let_73 (not _let_57))) (let ((_let_74 (_let_54))) (let ((_let_75 (ASSUME :args (_let_55)))) (let ((_let_76 (ASSUME :args (_let_14)))) (let ((_let_77 (ASSUME :args (_let_12)))) (let ((_let_78 (ASSUME :args (_let_10)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_75 _let_76 _let_77 _let_78) :args (_let_10 _let_12 _let_14 _let_55)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_78)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (TRANS (SYMM (SYMM _let_77)) (SYMM (SYMM _let_76))) :args (APPLY_UF tptp.in)) (FALSE_INTRO _let_75))) :args (_let_55 _let_14 _let_12 _let_10)) :args ((not (and _let_10 _let_12 _let_14 _let_55)) SB_LITERAL))) (CONG (REFL :args (_let_20)) (REFL :args ((not _let_12))) (REFL :args ((not _let_14))) (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_15))) :args _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_74) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_57)) (CONG (REFL :args (_let_73)) (REFL :args (_let_18)) (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_54))) :args _let_31)) :args ((or _let_18 _let_54 _let_73))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 5)) _let_33 :args ((not _let_18) true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_72) :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in C _let_16)))) :args _let_72))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_26 _let_60 _let_58 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_31)) :args ((or _let_25 _let_27))) _let_33 :args (_let_25 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_59 _let_65 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_22 _let_64 (not _let_69)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation_of2_as_subset C A B) false))))) :args (_let_70))) _let_71 :args (_let_69 false _let_70)) :args (_let_64 false _let_21 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_59 false _let_64 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_62)))) _let_63 :args (_let_61 false _let_62)) :args (_let_58 false _let_25 false _let_59 false _let_61)) :args (_let_57 false _let_58)) :args (_let_54 true _let_18 false _let_57)) :args (_let_55 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_14 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_51)) :args ((or _let_22 _let_46 (not _let_51)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_of2_as_subset C A B)))) :args _let_52)) _let_53 :args (_let_51 false _let_2)) :args (_let_46 false _let_21 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation_of2 C A B) false))))) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_14 false _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_35)) :args ((or _let_24 _let_12 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_31)) :args ((or _let_23 _let_27))) _let_33 :args (_let_23 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_35 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 0)) :args ((or _let_19 _let_45))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 4)) _let_33 :args (_let_39 true _let_27)) :args (_let_45 true _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_40 0)) :args ((or _let_38 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_22 _let_40 (not _let_41)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation_of2_as_subset C A B) false))))) :args (_let_42))) _let_43 :args (_let_41 false _let_42)) :args (_let_40 false _let_21 false _let_41)) :args (_let_38 false _let_40)) :args (_let_35 true _let_37 false _let_38)) :args (_let_12 false _let_23 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 3)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_10))) :args _let_31)) :args ((or _let_10 _let_27))) _let_33 :args (_let_10 true _let_27)) :args (false true _let_15 false _let_14 false _let_12 false _let_10)) :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 $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_rng A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$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 $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$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))) _let_1 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.76/26.00  )
% 25.76/26.00  % SZS output end Proof for SEU290+1
% 25.76/26.00  % cvc5---1.0.5 exiting
% 25.76/26.00  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------