TSTP Solution File: CAT026+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CAT026+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 : Wed Aug 30 18:14:42 EDT 2023
% Result : Theorem 0.39s 0.59s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CAT026+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 00:43:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.39/0.59 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6ydfIJE10J/cvc5---1.0.5_2829.p...
% 0.39/0.59 ------- get file name : TPTP file name is CAT026+1
% 0.39/0.59 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2829.smt2...
% 0.39/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.39/0.59 % SZS status Theorem for CAT026+1
% 0.39/0.59 % SZS output start Proof for CAT026+1
% 0.39/0.59 (
% 0.39/0.59 (let ((_let_1 (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F B C) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G B C) (=> (and (tptp.r2_nattra_1 A B D E) (tptp.r2_nattra_1 B C F G)) (tptp.r2_nattra_1 A C (tptp.k2_isocat_1 A B C D F) (tptp.k2_isocat_1 A B C E G))))))))))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 D A _let_1) (= (tptp.k12_isocat_2 A B C D) (tptp.k2_isocat_1 A _let_1 C D (tptp.k9_isocat_2 B C)))))))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 D A _let_1) (= (tptp.k11_isocat_2 A B C D) (tptp.k2_isocat_1 A _let_1 B D (tptp.k8_isocat_2 B C)))))))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (and (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m2_cat_1 D A B)) (tptp.r2_nattra_1 A B C C))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k9_isocat_2 A B) (tptp.k11_cat_2 A B) B))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k8_isocat_2 A B) (tptp.k11_cat_2 A B) A))))) (let ((_let_8 (not (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 E A _let_1) (=> (tptp.r2_nattra_1 A _let_1 D E) (and (tptp.r2_nattra_1 A B (tptp.k11_isocat_2 A B C D) (tptp.k11_isocat_2 A B C E)) (tptp.r2_nattra_1 A C (tptp.k12_isocat_2 A B C D) (tptp.k12_isocat_2 A B C E)))))))))))))))))) (let ((_let_9 (tptp.k12_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.k12_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (tptp.r2_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10 _let_9))) (let ((_let_12 (tptp.k11_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (tptp.k11_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (tptp.r2_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_13 _let_12))) (let ((_let_15 (and _let_14 _let_11))) (let ((_let_16 (tptp.k11_cat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (tptp.r2_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.m2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.m2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.l1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.v2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.l1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.v2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.l1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.v2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_30 _let_28 _let_26 _let_24 _let_22 _let_20 _let_18 _let_15))) (let ((_let_36 (forall ((A $$unsorted) (BOUND_VARIABLE_1295 $$unsorted) (BOUND_VARIABLE_1293 $$unsorted) (BOUND_VARIABLE_1291 $$unsorted) (BOUND_VARIABLE_1289 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 BOUND_VARIABLE_1289 BOUND_VARIABLE_1295))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_1289)) (not (tptp.l1_cat_1 BOUND_VARIABLE_1289)) (not (tptp.v2_cat_1 BOUND_VARIABLE_1295)) (not (tptp.l1_cat_1 BOUND_VARIABLE_1295)) (not (tptp.m2_cat_1 BOUND_VARIABLE_1291 A _let_1)) (not (tptp.m2_cat_1 BOUND_VARIABLE_1293 A _let_1)) (not (tptp.r2_nattra_1 A _let_1 BOUND_VARIABLE_1291 BOUND_VARIABLE_1293)) (and (tptp.r2_nattra_1 A BOUND_VARIABLE_1289 (tptp.k11_isocat_2 A BOUND_VARIABLE_1289 BOUND_VARIABLE_1295 BOUND_VARIABLE_1291) (tptp.k11_isocat_2 A BOUND_VARIABLE_1289 BOUND_VARIABLE_1295 BOUND_VARIABLE_1293)) (tptp.r2_nattra_1 A BOUND_VARIABLE_1295 (tptp.k12_isocat_2 A BOUND_VARIABLE_1289 BOUND_VARIABLE_1295 BOUND_VARIABLE_1291) (tptp.k12_isocat_2 A BOUND_VARIABLE_1289 BOUND_VARIABLE_1295 BOUND_VARIABLE_1293)))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_36))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_38) :args (_let_40))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_39)) _let_38 :args (_let_37 true _let_36)))) (let ((_let_42 (tptp.k9_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (tptp.k2_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_42))) (let ((_let_44 (tptp.k2_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_42))) (let ((_let_45 (tptp.r2_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_44 _let_43))) (let ((_let_46 (= _let_9 _let_43))) (let ((_let_47 (= _let_10 _let_44))) (let ((_let_48 (tptp.r2_nattra_1 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_42 _let_42))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.m2_cat_1 _let_42 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.l1_cat_1 _let_16))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.v2_cat_1 _let_16))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_34 _let_32 _let_55 _let_53 _let_26 _let_24 _let_22 _let_20 _let_18 _let_51 _let_51 _let_49 _let_45))) (let ((_let_57 (forall ((A $$unsorted) (BOUND_VARIABLE_1974 $$unsorted) (BOUND_VARIABLE_1972 $$unsorted) (BOUND_VARIABLE_1970 $$unsorted) (BOUND_VARIABLE_1968 $$unsorted) (BOUND_VARIABLE_1966 $$unsorted) (BOUND_VARIABLE_1964 $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_1964)) (not (tptp.l1_cat_1 BOUND_VARIABLE_1964)) (not (tptp.v2_cat_1 BOUND_VARIABLE_1974)) (not (tptp.l1_cat_1 BOUND_VARIABLE_1974)) (not (tptp.m2_cat_1 BOUND_VARIABLE_1966 A BOUND_VARIABLE_1964)) (not (tptp.m2_cat_1 BOUND_VARIABLE_1972 A BOUND_VARIABLE_1964)) (not (tptp.r2_nattra_1 A BOUND_VARIABLE_1964 BOUND_VARIABLE_1966 BOUND_VARIABLE_1972)) (not (tptp.m2_cat_1 BOUND_VARIABLE_1968 BOUND_VARIABLE_1964 BOUND_VARIABLE_1974)) (not (tptp.m2_cat_1 BOUND_VARIABLE_1970 BOUND_VARIABLE_1964 BOUND_VARIABLE_1974)) (not (tptp.r2_nattra_1 BOUND_VARIABLE_1964 BOUND_VARIABLE_1974 BOUND_VARIABLE_1968 BOUND_VARIABLE_1970)) (tptp.r2_nattra_1 A BOUND_VARIABLE_1974 (tptp.k2_isocat_1 A BOUND_VARIABLE_1964 BOUND_VARIABLE_1974 BOUND_VARIABLE_1966 BOUND_VARIABLE_1968) (tptp.k2_isocat_1 A BOUND_VARIABLE_1964 BOUND_VARIABLE_1974 BOUND_VARIABLE_1972 BOUND_VARIABLE_1970)))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 ((not (= (tptp.r2_nattra_1 A BOUND_VARIABLE_1974 (tptp.k2_isocat_1 A BOUND_VARIABLE_1964 BOUND_VARIABLE_1974 BOUND_VARIABLE_1966 BOUND_VARIABLE_1968) (tptp.k2_isocat_1 A BOUND_VARIABLE_1964 BOUND_VARIABLE_1974 BOUND_VARIABLE_1972 BOUND_VARIABLE_1970)) true))))) (let ((_let_61 (or _let_55 _let_53 _let_26 _let_24 _let_51 _let_51 _let_48))) (let ((_let_62 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (not (tptp.m2_cat_1 C A B)) (not (tptp.m2_cat_1 D A B)) (tptp.r2_nattra_1 A B C C))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 ((not (= (tptp.m2_cat_1 C A B) false)) (not (= (tptp.m2_cat_1 D A B) false))))) (let ((_let_66 (or _let_30 _let_28 _let_26 _let_24 _let_50))) (let ((_let_67 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k9_isocat_2 A B) (tptp.k11_cat_2 A B) B))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (REFL :args (_let_35)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 5)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_39)) :args ((or _let_23 _let_35))) _let_41 :args (_let_23 true _let_35)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 4)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_39)) :args ((or _let_25 _let_35))) _let_41 :args (_let_25 true _let_35)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 3)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_39)) :args ((or _let_27 _let_35))) _let_41 :args (_let_27 true _let_35)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 2)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_39)) :args ((or _let_29 _let_35))) _let_41 :args (_let_29 true _let_35)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_30 _let_28 _let_26 _let_24 _let_50 (not _let_66)))) _let_73 _let_72 _let_71 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k11_cat_2 A B)))) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_50 false _let_29 false _let_27 false _let_25 false _let_23 false _let_66)))) (let ((_let_75 (and _let_54 _let_52))) (let ((_let_76 (or _let_30 _let_28 _let_26 _let_24 _let_75))) (let ((_let_77 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (and (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_30 _let_28 _let_26 _let_24 _let_75 (not _let_76)))) _let_73 _let_72 _let_71 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k11_cat_2 A B)))) :args (_let_77))) _let_78 :args (_let_76 false _let_77)) :args (_let_75 false _let_29 false _let_27 false _let_25 false _let_23 false _let_76)))) (let ((_let_80 (not _let_75))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_75 1)) :args ((or _let_52 _let_80))) _let_79 :args (_let_52 false _let_75)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_75 0)) :args ((or _let_54 _let_80))) _let_79 :args (_let_54 false _let_75)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 8)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_39)) :args ((or _let_17 _let_35))) _let_41 :args (_let_17 true _let_35)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 7)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_39)) :args ((or _let_19 _let_35))) _let_41 :args (_let_19 true _let_35)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 6)) (CONG _let_69 (MACRO_SR_PRED_INTRO 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(tptp.k11_cat_2 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k17_cat_2 A B) (tptp.k11_cat_2 A B) B))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.k8_isocat_2 A B) (tptp.k16_cat_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.k9_isocat_2 A B) (tptp.k17_cat_2 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k5_relat_1 A B)))) _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 (tptp.u2_cat_1 A))))) _let_5 (exists ((A $$unsorted)) (tptp.l1_cat_1 A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (exists ((C $$unsorted)) (tptp.m2_cat_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E B C)) (= (tptp.k2_isocat_1 A B C D E) (tptp.k5_relat_1 D E)))) _let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C))) (tptp.m2_cat_1 (tptp.k11_isocat_2 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C))) (tptp.m2_cat_1 (tptp.k12_isocat_2 A B C D) A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E B C)) (tptp.m2_cat_1 (tptp.k2_isocat_1 A B C D E) A C))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m2_cat_1 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))))))) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.39/0.59 )
% 0.39/0.59 % SZS output end Proof for CAT026+1
% 0.39/0.59 % cvc5---1.0.5 exiting
% 0.39/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------