TSTP Solution File: CAT028+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CAT028+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 18:14:43 EDT 2023
% Result : Theorem 0.20s 0.71s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : CAT028+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n017.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 : Sun Aug 27 00:27:11 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.71 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.310GduIdnw/cvc5---1.0.5_1984.p...
% 0.20/0.71 ------- get file name : TPTP file name is CAT028+1
% 0.20/0.71 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1984.smt2...
% 0.20/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.71 % SZS status Theorem for CAT028+1
% 0.20/0.71 % SZS output start Proof for CAT028+1
% 0.20/0.71 (
% 0.20/0.71 (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 B C) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E B C) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F B C) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G C A) (forall ((H $$unsorted)) (=> (tptp.m2_nattra_1 H B C D E) (forall ((I $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u1_cat_1 B))) (=> (tptp.m2_nattra_1 I B C E F) (=> (and (tptp.r2_nattra_1 B C D E) (tptp.r2_nattra_1 B C E F)) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 (tptp.k6_isocat_1 B C A D F (tptp.k8_nattra_1 B C D E F H I) G) (tptp.k8_nattra_1 B A (tptp.k2_isocat_1 B C A D G) (tptp.k2_isocat_1 B C A E G) (tptp.k2_isocat_1 B C A F G) (tptp.k6_isocat_1 B C A D E H G) (tptp.k6_isocat_1 B C A E F I G)))))))))))))))))))))))))) (let ((_let_2 (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A (tptp.k11_cat_2 B C)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_nattra_1 F A _let_1 D E) (= (tptp.k14_isocat_2 A B C D E F) (tptp.k6_isocat_1 A _let_1 C D E F (tptp.k9_isocat_2 B C)))))))))))))))))) (let ((_let_3 (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A (tptp.k11_cat_2 B C)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_nattra_1 F A _let_1 D E) (= (tptp.k13_isocat_2 A B C D E F) (tptp.k6_isocat_1 A _let_1 B D E F (tptp.k8_isocat_2 B C)))))))))))))))))) (let ((_let_4 (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 D A _let_1) (= (tptp.k12_isocat_2 A B C D) (tptp.k2_isocat_1 A _let_1 C D (tptp.k9_isocat_2 B C)))))))))))))) (let ((_let_5 (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 D A _let_1) (= (tptp.k11_isocat_2 A B C D) (tptp.k2_isocat_1 A _let_1 B D (tptp.k8_isocat_2 B C)))))))))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$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.m2_cat_1 E A B) (tptp.m2_nattra_1 F A B C D) (tptp.m2_nattra_1 G A B D E)) (tptp.m2_nattra_1 (tptp.k8_nattra_1 A B C D E F G) A B C E))))) (let ((_let_7 (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_8 (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_9 (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_10 (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 $$unsorted)) (=> (tptp.m2_cat_1 E A (tptp.k11_cat_2 B C)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 F A _let_1) (=> (and (tptp.r2_nattra_1 A _let_1 D E) (tptp.r2_nattra_1 A _let_1 E F)) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G A (tptp.k11_cat_2 B C) D E) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (let ((_let_2 (tptp.k8_nattra_1 A _let_1 D E F G H))) (let ((_let_3 (tptp.u2_cat_1 C))) (let ((_let_4 (tptp.u1_cat_1 A))) (let ((_let_5 (tptp.u2_cat_1 B))) (=> (tptp.m2_nattra_1 H A _let_1 E F) (and (tptp.r4_nattra_1 _let_4 _let_5 _let_4 _let_5 (tptp.k13_isocat_2 A B C D F _let_2) (tptp.k8_nattra_1 A B (tptp.k11_isocat_2 A B C D) (tptp.k11_isocat_2 A B C E) (tptp.k11_isocat_2 A B C F) (tptp.k13_isocat_2 A B C D E G) (tptp.k13_isocat_2 A B C E F H))) (tptp.r4_nattra_1 _let_4 _let_3 _let_4 _let_3 (tptp.k14_isocat_2 A B C D F _let_2) (tptp.k8_nattra_1 A C (tptp.k12_isocat_2 A B C D) (tptp.k12_isocat_2 A B C E) (tptp.k12_isocat_2 A B C F) (tptp.k14_isocat_2 A B C D E G) (tptp.k14_isocat_2 A B C E F H)))))))))))))))))))))))))))))) (let ((_let_11 (tptp.k9_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.k11_cat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (tptp.k2_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_11))) (let ((_let_14 (tptp.k12_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (tptp.k2_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_11))) (let ((_let_17 (tptp.k12_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (tptp.k2_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_11))) (let ((_let_20 (tptp.k12_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (tptp.k6_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_11))) (let ((_let_23 (tptp.k14_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (tptp.k6_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_11))) (let ((_let_26 (tptp.k14_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (tptp.k8_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_29 (tptp.k6_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_28 _let_11))) (let ((_let_30 (tptp.k14_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_28))) (let ((_let_31 (= _let_30 _let_29))) (let ((_let_32 (tptp.u2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_33 (tptp.u1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (tptp.r4_nattra_1 _let_33 _let_32 _let_33 _let_32 _let_30 (tptp.k8_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 _let_17 _let_20 _let_23 _let_26)))) (let ((_let_35 (tptp.r4_nattra_1 _let_33 _let_32 _let_33 _let_32 _let_29 (tptp.k8_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 _let_16 _let_19 _let_22 _let_25)))) (let ((_let_36 (tptp.m2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.l1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.v2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.l1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.v2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.l1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.v2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_15))) (let ((_let_51 (forall ((A $$unsorted) (BOUND_VARIABLE_2561 $$unsorted) (BOUND_VARIABLE_2559 $$unsorted) (BOUND_VARIABLE_2557 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 BOUND_VARIABLE_2557 BOUND_VARIABLE_2561))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2557)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2557)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2561)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2561)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2559 A _let_1)) (= (tptp.k12_isocat_2 A BOUND_VARIABLE_2557 BOUND_VARIABLE_2561 BOUND_VARIABLE_2559) (tptp.k2_isocat_1 A _let_1 BOUND_VARIABLE_2561 BOUND_VARIABLE_2559 (tptp.k9_isocat_2 BOUND_VARIABLE_2557 BOUND_VARIABLE_2561)))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_51))) (let ((_let_54 ((not (= (tptp.m2_cat_1 BOUND_VARIABLE_2559 A (tptp.k11_cat_2 BOUND_VARIABLE_2557 BOUND_VARIABLE_2561)) false))))) (let ((_let_55 (tptp.k13_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_56 (tptp.k13_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_57 (tptp.k11_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_58 (tptp.k11_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_59 (tptp.k11_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_60 (tptp.k13_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_28))) (let ((_let_61 (tptp.u2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_62 (tptp.r4_nattra_1 _let_33 _let_61 _let_33 _let_61 _let_60 (tptp.k8_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_59 _let_58 _let_57 _let_56 _let_55)))) (let ((_let_63 (and _let_62 _let_34))) (let ((_let_64 (tptp.m2_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.m2_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.r2_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.m2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.r2_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.m2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_75 _let_73 _let_71 _let_69 _let_67 _let_65 _let_63))) (let ((_let_77 (forall ((A $$unsorted) (BOUND_VARIABLE_1886 $$unsorted) (BOUND_VARIABLE_1884 $$unsorted) (BOUND_VARIABLE_1882 $$unsorted) (BOUND_VARIABLE_1880 $$unsorted) (BOUND_VARIABLE_1878 $$unsorted) (BOUND_VARIABLE_1876 $$unsorted) (BOUND_VARIABLE_1874 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 BOUND_VARIABLE_1874 BOUND_VARIABLE_1886))) (let ((_let_2 (tptp.k8_nattra_1 A _let_1 BOUND_VARIABLE_1876 BOUND_VARIABLE_1884 BOUND_VARIABLE_1878 BOUND_VARIABLE_1882 BOUND_VARIABLE_1880))) (let ((_let_3 (tptp.u2_cat_1 BOUND_VARIABLE_1886))) (let ((_let_4 (tptp.u1_cat_1 A))) (let ((_let_5 (tptp.u2_cat_1 BOUND_VARIABLE_1874))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_1874)) (not (tptp.l1_cat_1 BOUND_VARIABLE_1874)) (not (tptp.v2_cat_1 BOUND_VARIABLE_1886)) (not (tptp.l1_cat_1 BOUND_VARIABLE_1886)) (not (tptp.m2_cat_1 BOUND_VARIABLE_1876 A _let_1)) (not (tptp.m2_cat_1 BOUND_VARIABLE_1884 A _let_1)) (not (tptp.r2_nattra_1 A _let_1 BOUND_VARIABLE_1876 BOUND_VARIABLE_1884)) (not (tptp.m2_cat_1 BOUND_VARIABLE_1878 A _let_1)) (not (tptp.r2_nattra_1 A _let_1 BOUND_VARIABLE_1884 BOUND_VARIABLE_1878)) (not (tptp.m2_nattra_1 BOUND_VARIABLE_1882 A _let_1 BOUND_VARIABLE_1876 BOUND_VARIABLE_1884)) (not (tptp.m2_nattra_1 BOUND_VARIABLE_1880 A _let_1 BOUND_VARIABLE_1884 BOUND_VARIABLE_1878)) (and (tptp.r4_nattra_1 _let_4 _let_5 _let_4 _let_5 (tptp.k13_isocat_2 A BOUND_VARIABLE_1874 BOUND_VARIABLE_1886 BOUND_VARIABLE_1876 BOUND_VARIABLE_1878 _let_2) (tptp.k8_nattra_1 A BOUND_VARIABLE_1874 (tptp.k11_isocat_2 A BOUND_VARIABLE_1874 BOUND_VARIABLE_1886 BOUND_VARIABLE_1876) (tptp.k11_isocat_2 A BOUND_VARIABLE_1874 BOUND_VARIABLE_1886 BOUND_VARIABLE_1884) (tptp.k11_isocat_2 A BOUND_VARIABLE_1874 BOUND_VARIABLE_1886 BOUND_VARIABLE_1878) (tptp.k13_isocat_2 A BOUND_VARIABLE_1874 BOUND_VARIABLE_1886 BOUND_VARIABLE_1876 BOUND_VARIABLE_1884 BOUND_VARIABLE_1882) (tptp.k13_isocat_2 A BOUND_VARIABLE_1874 BOUND_VARIABLE_1886 BOUND_VARIABLE_1884 BOUND_VARIABLE_1878 BOUND_VARIABLE_1880))) (tptp.r4_nattra_1 _let_4 _let_3 _let_4 _let_3 (tptp.k14_isocat_2 A BOUND_VARIABLE_1874 BOUND_VARIABLE_1886 BOUND_VARIABLE_1876 BOUND_VARIABLE_1878 _let_2) (tptp.k8_nattra_1 A BOUND_VARIABLE_1886 (tptp.k12_isocat_2 A BOUND_VARIABLE_1874 BOUND_VARIABLE_1886 BOUND_VARIABLE_1876) (tptp.k12_isocat_2 A BOUND_VARIABLE_1874 BOUND_VARIABLE_1886 BOUND_VARIABLE_1884) (tptp.k12_isocat_2 A BOUND_VARIABLE_1874 BOUND_VARIABLE_1886 BOUND_VARIABLE_1878) (tptp.k14_isocat_2 A BOUND_VARIABLE_1874 BOUND_VARIABLE_1886 BOUND_VARIABLE_1876 BOUND_VARIABLE_1884 BOUND_VARIABLE_1882) (tptp.k14_isocat_2 A BOUND_VARIABLE_1874 BOUND_VARIABLE_1886 BOUND_VARIABLE_1884 BOUND_VARIABLE_1878 BOUND_VARIABLE_1880))))))))))))) (let ((_let_78 (not _let_76))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (or))) (let ((_let_81 (not _let_77))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_79) :args (_let_81))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_77))) (REFL :args (_let_78)) :args _let_80)) _let_79 :args (_let_78 true _let_77)))) (let ((_let_83 (REFL :args (_let_76)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 6)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_80)) :args ((or _let_36 _let_76))) _let_82 :args (_let_36 true _let_76)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 5)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_80)) :args ((or _let_38 _let_76))) _let_82 :args (_let_38 true _let_76)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 4)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_80)) :args ((or _let_40 _let_76))) _let_82 :args (_let_40 true _let_76)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 3)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_80)) :args ((or _let_42 _let_76))) _let_82 :args (_let_42 true _let_76)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 2)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_80)) :args ((or _let_44 _let_76))) _let_82 :args (_let_44 true _let_76)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 1)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_80)) :args ((or _let_46 _let_76))) _let_82 :args (_let_46 true _let_76)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 0)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_80)) :args ((or _let_48 _let_76))) _let_82 :args (_let_48 true _let_76)))) (let ((_let_91 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_75 _let_18))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 7)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_80)) :args ((or _let_74 _let_76))) _let_82 :args (_let_74 true _let_76)))) (let ((_let_93 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_71 _let_21))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 9)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_70))) :args _let_80)) :args ((or _let_70 _let_76))) _let_82 :args (_let_70 true _let_76)))) (let ((_let_95 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_75 _let_67 _let_24))) (let ((_let_96 (forall ((A $$unsorted) (BOUND_VARIABLE_2863 $$unsorted) (BOUND_VARIABLE_2861 $$unsorted) (BOUND_VARIABLE_2859 $$unsorted) (BOUND_VARIABLE_2857 $$unsorted) (BOUND_VARIABLE_2855 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 BOUND_VARIABLE_2855 BOUND_VARIABLE_2863))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2855)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2855)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2863)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2863)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2857 A _let_1)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2861 A _let_1)) (not (tptp.m2_nattra_1 BOUND_VARIABLE_2859 A _let_1 BOUND_VARIABLE_2857 BOUND_VARIABLE_2861)) (= (tptp.k14_isocat_2 A BOUND_VARIABLE_2855 BOUND_VARIABLE_2863 BOUND_VARIABLE_2857 BOUND_VARIABLE_2861 BOUND_VARIABLE_2859) (tptp.k6_isocat_1 A _let_1 BOUND_VARIABLE_2863 BOUND_VARIABLE_2857 BOUND_VARIABLE_2861 BOUND_VARIABLE_2859 (tptp.k9_isocat_2 BOUND_VARIABLE_2855 BOUND_VARIABLE_2863)))))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_96))) (let ((_let_99 ((not (= (tptp.m2_nattra_1 BOUND_VARIABLE_2859 A (tptp.k11_cat_2 BOUND_VARIABLE_2855 BOUND_VARIABLE_2863) BOUND_VARIABLE_2857 BOUND_VARIABLE_2861) false))))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 11)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args _let_80)) :args ((or _let_66 _let_76))) _let_82 :args (_let_66 true _let_76)))) (let ((_let_101 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_75 _let_71 _let_65 _let_27))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 12)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_80)) :args ((or _let_64 _let_76))) _let_82 :args (_let_64 true _let_76)))) (let ((_let_103 (tptp.m2_nattra_1 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_71 _let_104 _let_31))) (let ((_let_106 (tptp.l1_cat_1 _let_12))) (let ((_let_107 (not _let_106))) (let ((_let_108 (tptp.v2_cat_1 _let_12))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_49 _let_47 _let_109 _let_107 _let_37 _let_75 _let_71 _let_67 _let_65 _let_103))) (let ((_let_111 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (not (tptp.m2_cat_1 C A B)) (not (tptp.m2_cat_1 D A B)) (not (tptp.m2_cat_1 E A B)) (not (tptp.m2_nattra_1 F A B C D)) (not (tptp.m2_nattra_1 G A B D E)) (tptp.m2_nattra_1 (tptp.k8_nattra_1 A B C D E F G) A B C E))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (and _let_108 _let_106))) (let ((_let_114 (or _let_45 _let_43 _let_41 _let_39 _let_113))) (let ((_let_115 (forall ((A $$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_116 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_45 _let_43 _let_41 _let_39 _let_113 (not _let_114)))) _let_88 _let_87 _let_86 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k11_cat_2 A B)))) :args (_let_115))) _let_116 :args (_let_114 false _let_115)) :args (_let_113 false _let_44 false _let_42 false _let_40 false _let_38 false _let_114)))) (let ((_let_118 (not _let_113))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 1)) :args ((or _let_106 _let_118))) _let_117 :args (_let_106 false _let_113)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 0)) :args ((or _let_108 _let_118))) _let_117 :args (_let_108 false _let_113)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_49 _let_47 _let_37 _let_75 _let_71 _let_67 _let_65 _let_109 _let_107 _let_103 (not _let_110)))) _let_90 _let_89 _let_84 _let_92 _let_94 _let_100 _let_102 _let_120 _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k8_nattra_1 A B C D E F G)))) :args (_let_111))) _let_112 :args (_let_110 false _let_111)) :args (_let_103 false _let_48 false _let_46 false _let_36 false _let_74 false _let_70 false _let_66 false _let_64 false _let_108 false _let_106 false _let_110)))) (let ((_let_122 (not _let_34))) (let ((_let_123 (tptp.k8_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_124 (tptp.k6_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_123))) (let ((_let_125 (tptp.k6_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_123))) (let ((_let_126 (tptp.k2_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_123))) (let ((_let_127 (tptp.k2_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_123))) (let ((_let_128 (tptp.k2_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_123))) (let ((_let_129 (tptp.k6_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_28 _let_123))) (let ((_let_130 (tptp.r4_nattra_1 _let_33 _let_61 _let_33 _let_61 _let_129 (tptp.k8_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_128 _let_127 _let_126 _let_125 _let_124)))) (let ((_let_131 (= _let_60 _let_129))) (let ((_let_132 (= _let_55 _let_124))) (let ((_let_133 (= _let_56 _let_125))) (let ((_let_134 (= _let_57 _let_126))) (let ((_let_135 (= _let_58 _let_127))) (let ((_let_136 (= _let_59 _let_128))) (let ((_let_137 (tptp.m2_cat_1 _let_123 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_45 _let_43 _let_49 _let_47 _let_109 _let_107 _let_37 _let_75 _let_73 _let_71 _let_69 _let_138 _let_67 _let_65 _let_130))) (let ((_let_140 (forall ((A $$unsorted) (BOUND_VARIABLE_3203 $$unsorted) (BOUND_VARIABLE_3201 $$unsorted) (BOUND_VARIABLE_3199 $$unsorted) (BOUND_VARIABLE_3197 $$unsorted) (BOUND_VARIABLE_3195 $$unsorted) (BOUND_VARIABLE_3193 $$unsorted) (BOUND_VARIABLE_3191 $$unsorted) (BOUND_VARIABLE_3189 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u1_cat_1 BOUND_VARIABLE_3189))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_3189)) (not (tptp.l1_cat_1 BOUND_VARIABLE_3189)) (not (tptp.v2_cat_1 BOUND_VARIABLE_3203)) (not (tptp.l1_cat_1 BOUND_VARIABLE_3203)) (not (tptp.m2_cat_1 BOUND_VARIABLE_3191 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203)) (not (tptp.m2_cat_1 BOUND_VARIABLE_3201 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203)) (not (tptp.r2_nattra_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 BOUND_VARIABLE_3191 BOUND_VARIABLE_3201)) (not (tptp.m2_cat_1 BOUND_VARIABLE_3193 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203)) (not (tptp.r2_nattra_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 BOUND_VARIABLE_3201 BOUND_VARIABLE_3193)) (not (tptp.m2_cat_1 BOUND_VARIABLE_3199 BOUND_VARIABLE_3203 A)) (not (tptp.m2_nattra_1 BOUND_VARIABLE_3195 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 BOUND_VARIABLE_3191 BOUND_VARIABLE_3201)) (not (tptp.m2_nattra_1 BOUND_VARIABLE_3197 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 BOUND_VARIABLE_3201 BOUND_VARIABLE_3193)) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 (tptp.k6_isocat_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 A BOUND_VARIABLE_3191 BOUND_VARIABLE_3193 (tptp.k8_nattra_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 BOUND_VARIABLE_3191 BOUND_VARIABLE_3201 BOUND_VARIABLE_3193 BOUND_VARIABLE_3195 BOUND_VARIABLE_3197) BOUND_VARIABLE_3199) (tptp.k8_nattra_1 BOUND_VARIABLE_3189 A (tptp.k2_isocat_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 A BOUND_VARIABLE_3191 BOUND_VARIABLE_3199) (tptp.k2_isocat_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 A BOUND_VARIABLE_3201 BOUND_VARIABLE_3199) (tptp.k2_isocat_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 A BOUND_VARIABLE_3193 BOUND_VARIABLE_3199) (tptp.k6_isocat_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 A BOUND_VARIABLE_3191 BOUND_VARIABLE_3201 BOUND_VARIABLE_3195 BOUND_VARIABLE_3199) (tptp.k6_isocat_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 A BOUND_VARIABLE_3201 BOUND_VARIABLE_3193 BOUND_VARIABLE_3197 BOUND_VARIABLE_3199))))))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (_let_140))) (let ((_let_143 ((tptp.k8_nattra_1 BOUND_VARIABLE_3189 A (tptp.k2_isocat_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 A BOUND_VARIABLE_3191 BOUND_VARIABLE_3199) (tptp.k2_isocat_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 A BOUND_VARIABLE_3201 BOUND_VARIABLE_3199) (tptp.k2_isocat_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 A BOUND_VARIABLE_3193 BOUND_VARIABLE_3199) (tptp.k6_isocat_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 A BOUND_VARIABLE_3191 BOUND_VARIABLE_3201 BOUND_VARIABLE_3195 BOUND_VARIABLE_3199) (tptp.k6_isocat_1 BOUND_VARIABLE_3189 BOUND_VARIABLE_3203 A BOUND_VARIABLE_3201 BOUND_VARIABLE_3193 BOUND_VARIABLE_3197 BOUND_VARIABLE_3199))))) (let ((_let_144 (or _let_45 _let_43 _let_41 _let_39 _let_137))) (let ((_let_145 (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.k8_isocat_2 A B) (tptp.k11_cat_2 A B) A))))) (let ((_let_146 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 10)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) :args _let_80)) :args ((or _let_68 _let_76))) _let_82 :args (_let_68 true _let_76)))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 8)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_80)) :args ((or _let_72 _let_76))) _let_82 :args (_let_72 true _let_76)))) (let ((_let_149 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_71 _let_104 _let_131))) (let ((_let_150 (forall ((A $$unsorted) (BOUND_VARIABLE_2710 $$unsorted) (BOUND_VARIABLE_2708 $$unsorted) (BOUND_VARIABLE_2706 $$unsorted) (BOUND_VARIABLE_2704 $$unsorted) (BOUND_VARIABLE_2702 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 BOUND_VARIABLE_2702 BOUND_VARIABLE_2710))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2702)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2702)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2710)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2710)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2704 A _let_1)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2708 A _let_1)) (not (tptp.m2_nattra_1 BOUND_VARIABLE_2706 A _let_1 BOUND_VARIABLE_2704 BOUND_VARIABLE_2708)) (= (tptp.k13_isocat_2 A BOUND_VARIABLE_2702 BOUND_VARIABLE_2710 BOUND_VARIABLE_2704 BOUND_VARIABLE_2708 BOUND_VARIABLE_2706) (tptp.k6_isocat_1 A _let_1 BOUND_VARIABLE_2702 BOUND_VARIABLE_2704 BOUND_VARIABLE_2708 BOUND_VARIABLE_2706 (tptp.k8_isocat_2 BOUND_VARIABLE_2702 BOUND_VARIABLE_2710)))))))) (let ((_let_151 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_152 (_let_150))) (let ((_let_153 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_75 _let_71 _let_65 _let_132))) (let ((_let_154 ((not (= (tptp.m2_nattra_1 BOUND_VARIABLE_2706 A (tptp.k11_cat_2 BOUND_VARIABLE_2702 BOUND_VARIABLE_2710) BOUND_VARIABLE_2704 BOUND_VARIABLE_2708) false))))) (let ((_let_155 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_75 _let_67 _let_133))) (let ((_let_156 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_71 _let_134))) (let ((_let_157 (forall ((A $$unsorted) (BOUND_VARIABLE_2472 $$unsorted) (BOUND_VARIABLE_2470 $$unsorted) (BOUND_VARIABLE_2468 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 BOUND_VARIABLE_2468 BOUND_VARIABLE_2472))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2468)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2468)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2472)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2472)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2470 A _let_1)) (= (tptp.k11_isocat_2 A BOUND_VARIABLE_2468 BOUND_VARIABLE_2472 BOUND_VARIABLE_2470) (tptp.k2_isocat_1 A _let_1 BOUND_VARIABLE_2468 BOUND_VARIABLE_2470 (tptp.k8_isocat_2 BOUND_VARIABLE_2468 BOUND_VARIABLE_2472)))))))) (let ((_let_158 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_159 (_let_157))) (let ((_let_160 ((not (= (tptp.m2_cat_1 BOUND_VARIABLE_2470 A (tptp.k11_cat_2 BOUND_VARIABLE_2468 BOUND_VARIABLE_2472)) false))))) (let ((_let_161 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_75 _let_135))) (let ((_let_162 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_136))) (let ((_let_163 (and _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130))) (let ((_let_164 (ASSUME :args (_let_130)))) (let ((_let_165 (APPLY_UF tptp.r4_nattra_1))) (let ((_let_166 (APPLY_UF tptp.k8_nattra_1))) (let ((_let_167 (ASSUME :args (_let_132)))) (let ((_let_168 (ASSUME :args (_let_133)))) (let ((_let_169 (ASSUME :args (_let_134)))) (let ((_let_170 (ASSUME :args (_let_135)))) (let ((_let_171 (ASSUME :args (_let_136)))) (let ((_let_172 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_173 (ASSUME :args (_let_131)))) (let ((_let_174 (REFL :args (_let_61)))) (let ((_let_175 (REFL :args (_let_33)))) (let ((_let_176 (tptp.m2_cat_1 _let_11 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_177 (not _let_176))) (let ((_let_178 (or _let_41 _let_39 _let_49 _let_47 _let_109 _let_107 _let_37 _let_75 _let_73 _let_71 _let_69 _let_177 _let_67 _let_65 _let_35))) (let ((_let_179 (or _let_45 _let_43 _let_41 _let_39 _let_176))) (let ((_let_180 (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_181 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_182 (ASSUME :args (_let_35)))) (let ((_let_183 (ASSUME :args (_let_27)))) (let ((_let_184 (ASSUME :args (_let_24)))) (let ((_let_185 (ASSUME :args (_let_21)))) (let ((_let_186 (ASSUME :args (_let_18)))) (let ((_let_187 (ASSUME :args (_let_15)))) (let ((_let_188 (ASSUME :args (_let_31)))) (let ((_let_189 (REFL :args (_let_32)))) (let ((_let_190 (ASSUME :args (_let_122)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_182 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_190) :args (_let_122 _let_15 _let_18 _let_21 _let_24 _let_27 _let_31 _let_35)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_190)) (CONG _let_175 _let_189 _let_175 _let_189 (SYMM (SYMM _let_188)) (CONG _let_172 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (SYMM (SYMM _let_187)) (SYMM (SYMM _let_186)) (SYMM (SYMM _let_185)) (SYMM (SYMM _let_184)) (SYMM (SYMM _let_183)) :args _let_166) :args _let_165) (TRUE_INTRO _let_182))) :args (_let_35 _let_31 _let_15 _let_18 _let_21 _let_24 _let_27 _let_122)) :args ((not (and _let_122 _let_15 _let_18 _let_21 _let_24 _let_27 _let_31 _let_35)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_34))) (REFL :args ((not _let_15))) (REFL :args ((not _let_18))) (REFL :args ((not _let_21))) (REFL :args ((not _let_24))) (REFL :args ((not _let_27))) (REFL :args ((not _let_31))) (REFL :args ((not _let_35))) :args _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_49 _let_47 _let_41 _let_39 _let_37 _let_75 _let_73 _let_71 _let_69 _let_67 _let_65 _let_109 _let_107 _let_177 _let_35 (not _let_178)))) _let_90 _let_89 _let_86 _let_85 _let_84 _let_92 _let_148 _let_94 _let_147 _let_100 _let_102 _let_120 _let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_45 _let_43 _let_41 _let_39 _let_176 (not _let_179)))) _let_88 _let_87 _let_86 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k11_cat_2 A B)))) :args (_let_180))) _let_181 :args (_let_179 false _let_180)) :args (_let_176 false _let_44 false _let_42 false _let_40 false _let_38 false _let_179)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_143)) :args _let_142)) _let_141 :args (_let_178 false _let_140)) :args (_let_35 false _let_48 false _let_46 false _let_40 false _let_38 false _let_36 false _let_74 false _let_72 false _let_70 false _let_68 false _let_66 false _let_64 false _let_108 false _let_106 false _let_176 false _let_178)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_63)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_76 13)) _let_82 :args ((not _let_63) true _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_163)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_164 _let_173 _let_171 _let_170 _let_169 _let_168 _let_167) (SCOPE (TRUE_ELIM (TRANS (CONG _let_175 _let_174 _let_175 _let_174 (SYMM (SYMM _let_173)) (CONG _let_172 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) (SYMM (SYMM _let_171)) (SYMM (SYMM _let_170)) (SYMM (SYMM _let_169)) (SYMM (SYMM _let_168)) (SYMM (SYMM _let_167)) :args _let_166) :args _let_165) (TRUE_INTRO _let_164))) :args (_let_130 _let_131 _let_136 _let_135 _let_134 _let_133 _let_132))) :args (_let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130))) :args (true _let_163)) :args ((or _let_62 (not _let_136) (not _let_135) (not _let_134) (not _let_133) (not _let_132) (not _let_131) (not _let_130)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_136 (not _let_162)))) _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_159)) _let_158 :args (_let_162 false _let_157)) :args (_let_136 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_36 false _let_162)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_75 _let_135 (not _let_161)))) _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 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(CNF_OR_POS :args (_let_155)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_75 _let_67 _let_133 (not _let_155)))) _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_92 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING _let_154)) :args _let_152)) _let_151 :args (_let_155 false _let_150)) :args (_let_133 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_36 false _let_74 false _let_66 false _let_155)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_75 _let_71 _let_65 _let_132 (not _let_153)))) _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_92 _let_94 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(INSTANTIATE _let_146 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k11_cat_2 A B)))) :args (_let_145))) _let_146 :args (_let_144 false _let_145)) :args (_let_137 false _let_44 false _let_42 false _let_40 false _let_38 false _let_144)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_123 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_143)) :args _let_142)) _let_141 :args (_let_139 false _let_140)) :args (_let_130 false _let_48 false _let_46 false _let_44 false _let_42 false _let_36 false _let_74 false _let_72 false _let_70 false _let_68 false _let_66 false _let_64 false _let_108 false _let_106 false _let_137 false _let_139)) :args (_let_62 false _let_136 false _let_135 false _let_134 false _let_133 false _let_132 false _let_131 false _let_130)) :args (_let_122 true _let_63 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_71 _let_104 _let_31 (not _let_105)))) _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_94 _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k14_isocat_2 A BOUND_VARIABLE_2855 BOUND_VARIABLE_2863 BOUND_VARIABLE_2857 BOUND_VARIABLE_2861 BOUND_VARIABLE_2859)))) :args _let_98)) _let_97 :args (_let_105 false _let_96)) :args (_let_31 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_36 false _let_70 false _let_103 false _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_75 _let_71 _let_65 _let_27 (not _let_101)))) _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_92 _let_94 _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_98)) _let_97 :args (_let_101 false _let_96)) :args (_let_27 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_74 false _let_70 false _let_64 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_75 _let_67 _let_24 (not _let_95)))) _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_92 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_98)) _let_97 :args (_let_95 false _let_96)) :args (_let_24 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_36 false _let_74 false _let_66 false _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_71 _let_21 (not _let_93)))) _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_52 :args (_let_93 false _let_51)) :args (_let_21 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_70 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_75 _let_18 (not _let_91)))) _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_52 :args (_let_91 false _let_51)) :args (_let_18 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_74 false _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_15 (not _let_50)))) _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_52 :args (_let_50 false _let_51)) :args (_let_15 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_36 false _let_50)) :args (false false _let_35 true _let_34 false _let_31 false _let_27 false _let_24 false _let_21 false _let_18 false _let_15)) :args (_let_10 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 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.k16_cat_2 A B) (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)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (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)))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (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 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (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)) (exists ((E $$unsorted)) (tptp.m1_nattra_1 E A B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A 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_9 _let_8 (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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (tptp.m1_nattra_1 E A B C D) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)))))))) true (forall ((A $$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))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (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 $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m2_cat_1 D A B)) (tptp.r2_nattra_1 A B C C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m1_relset_1 F C D)) (=> (tptp.r4_nattra_1 A B C D E F) (tptp.r4_nattra_1 A B C D F E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m1_relset_1 F C D)) (tptp.r4_nattra_1 A B C D E E))) (exists ((A $$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 $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m2_cat_1 D A B)) (exists ((E $$unsorted)) (tptp.m2_nattra_1 E A B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E B C)) (= (tptp.k2_isocat_1 A B C D E) (tptp.k5_relat_1 D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m1_relset_1 F C D)) (= (tptp.r4_nattra_1 A B C D E F) (= E F)))) _let_7 (forall ((A $$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) (F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A _let_1) (tptp.m2_cat_1 E A _let_1) (tptp.m2_nattra_1 F A _let_1 D E)) (tptp.m2_nattra_1 (tptp.k13_isocat_2 A B C D E F) A B (tptp.k11_isocat_2 A B C D) (tptp.k11_isocat_2 A B C E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A _let_1) (tptp.m2_cat_1 E A _let_1) (tptp.m2_nattra_1 F A _let_1 D E)) (tptp.m2_nattra_1 (tptp.k14_isocat_2 A B C D E F) A C (tptp.k12_isocat_2 A B C D) (tptp.k12_isocat_2 A B C E))))) (forall ((A $$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))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E A B) (tptp.m2_nattra_1 F A B D E) (tptp.m2_cat_1 G B C)) (tptp.m2_nattra_1 (tptp.k6_isocat_1 A B C D E F G) A C (tptp.k2_isocat_1 A B C D G) (tptp.k2_isocat_1 A B C E G)))) _let_6 true (forall ((A $$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)))))))) (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)) (forall ((E $$unsorted)) (=> (tptp.m2_nattra_1 E A B C D) (tptp.m1_nattra_1 E A B C D))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 (tptp.u1_cat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 (tptp.u2_cat_1 A))))) _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.72 )
% 0.20/0.72 % SZS output end Proof for CAT028+1
% 0.20/0.72 % cvc5---1.0.5 exiting
% 0.20/0.72 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------