TSTP Solution File: LAT349+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT349+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 06:04:17 EDT 2023
% Result : Theorem 114.99s 115.28s
% Output : Proof 115.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LAT349+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 09:57:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 114.99/115.28 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.YLTTCTfSYR/cvc5---1.0.5_7975.p...
% 114.99/115.28 ------- get file name : TPTP file name is LAT349+1
% 114.99/115.28 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7975.smt2...
% 114.99/115.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 114.99/115.28 --- Run --no-e-matching --full-saturate-quant at 5...
% 114.99/115.28 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 114.99/115.28 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 114.99/115.28 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 114.99/115.28 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 114.99/115.28 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 114.99/115.28 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 114.99/115.28 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 114.99/115.28 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 114.99/115.28 --- Run --relevant-triggers --full-saturate-quant at 5...
% 114.99/115.28 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 114.99/115.28 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 114.99/115.28 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 114.99/115.28 --- Run --no-cbqi --full-saturate-quant at 10...
% 114.99/115.28 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 114.99/115.28 % SZS status Theorem for LAT349+1
% 114.99/115.28 % SZS output start Proof for LAT349+1
% 114.99/115.28 (
% 114.99/115.28 (let ((_let_1 (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r3_orders_2 _let_1 B C) (tptp.r1_tarski B C))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski B C) (tptp.r1_yellow_0 A B) (tptp.r1_yellow_0 A C)) (tptp.r1_orders_2 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (and (tptp.r1_yellow_0 A B) (tptp.r2_yellow_0 A B))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_orders_2 A B C) (tptp.r1_orders_2 A B C))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2) (tptp.m1_subset_1 D _let_1)) (= (tptp.k1_waybel_0 A B C D) (tptp.k1_funct_1 C D)))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.k1_waybel22 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v3_lattice3 C) (tptp.v3_waybel_3 C) (tptp.l1_orders_2 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1) (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 B)))))) (= (tptp.r2_hidden A (tptp.a_4_0_waybel22 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (= A (tptp.k2_yellow_0 C (tptp.a_4_1_waybel22 B C D F))) (tptp.r2_hidden F E)))))))))) (let ((_let_8 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v3_waybel_3 _let_1))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (not (tptp.v1_xboole_0 (tptp.k9_waybel_0 A))))))) (let ((_let_10 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v2_waybel_1 _let_1) (tptp.v9_waybel_1 _let_1) (tptp.v10_waybel_1 _let_1) (tptp.v11_waybel_1 _let_1) (tptp.v2_waybel_3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.v1_waybel_8 _let_1) (tptp.v2_waybel_8 _let_1)))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))))) (let ((_let_12 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1)))))) (let ((_let_13 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 A))) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1)))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))))) (let ((_let_3 (tptp.k2_waybel22 A B C))) (let ((_let_4 (tptp.k1_waybel22 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_1) (tptp.m1_relset_1 C _let_4 _let_1)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))))) (let ((_let_15 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_orders_3 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A D E) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (=> (and (= F (tptp.k1_funct_1 C D)) (= G (tptp.k1_funct_1 C E))) (tptp.r1_orders_2 B F G)))))))))))))))))))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k1_waybel22 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k2_waybel22 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (= (tptp.k1_waybel_0 _let_1 B D E) (tptp.k1_yellow_0 B (tptp.a_4_0_waybel22 A B C E))))))))))))))))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))) (let ((_let_18 (forall ((A $$unsorted)) (= (tptp.k1_waybel22 A) (tptp.a_1_0_waybel22 A))))) (let ((_let_19 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k1_waybel22 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.v5_orders_3 (tptp.k2_waybel22 A B C) (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))) B)))))))))) (let ((_let_20 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (tptp.v3_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (tptp.r2_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.k1_xboole_0))) (let ((_let_25 (tptp.a_4_0_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_26 (tptp.r1_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25))) (let ((_let_27 (and _let_26 _let_24))) (let ((_let_28 (not _let_23))) (let ((_let_29 (not _let_22))) (let ((_let_30 (not _let_21))) (let ((_let_31 (or _let_20 _let_30 _let_29 _let_28 _let_27))) (let ((_let_32 (tptp.k3_yellow_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (tptp.k9_waybel_0 _let_32))) (let ((_let_34 (tptp.k2_yellow_1 _let_33))) (let ((_let_35 (tptp.k2_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_36 (tptp.v5_orders_3 _let_35 _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_37 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_38 (tptp.a_1_0_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (tptp.m1_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_38 _let_37))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.v1_funct_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_38 _let_37))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.v1_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.v3_waybel_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_20 _let_50 _let_48 _let_30 _let_29 _let_46 _let_28 _let_44 _let_42 _let_40 _let_36))) (let ((_let_52 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_2458 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.a_1_0_waybel22 A))) (or (tptp.v3_struct_0 B) (not (tptp.v2_orders_2 B)) (not (tptp.v3_orders_2 B)) (not (tptp.v4_orders_2 B)) (not (tptp.v3_lattice3 B)) (not (tptp.v3_waybel_3 B)) (not (tptp.l1_orders_2 B)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2458)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2458 _let_2 _let_1)) (not (tptp.m1_relset_1 BOUND_VARIABLE_2458 _let_2 _let_1)) (tptp.v5_orders_3 (tptp.k2_waybel22 A B BOUND_VARIABLE_2458) (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))) B))))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (AND_INTRO (TRUST_SUBS_EQ (ASSUME :args (_let_5)) :args ((= tptp.m2_relset_1 (lambda ((BOUND_VARIABLE_4193 $$unsorted) (BOUND_VARIABLE_4194 $$unsorted) (BOUND_VARIABLE_4195 $$unsorted)) (tptp.m1_relset_1 BOUND_VARIABLE_4193 BOUND_VARIABLE_4194 BOUND_VARIABLE_4195))))) (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r1_tarski (lambda ((BOUND_VARIABLE_4113 $$unsorted) (BOUND_VARIABLE_4114 $$unsorted)) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C BOUND_VARIABLE_4113)) (tptp.r2_hidden C BOUND_VARIABLE_4114))))))) (TRUST_SUBS_EQ (ASSUME :args (_let_18)) :args ((= tptp.k1_waybel22 (lambda ((BOUND_VARIABLE_4107 $$unsorted)) (tptp.a_1_0_waybel22 BOUND_VARIABLE_4107)))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_19)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_54 :args ((not (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_2458 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k1_waybel22 A))) (or (tptp.v3_struct_0 B) (not (tptp.v2_orders_2 B)) (not (tptp.v3_orders_2 B)) (not (tptp.v4_orders_2 B)) (not (tptp.v3_lattice3 B)) (not (tptp.v3_waybel_3 B)) (not (tptp.l1_orders_2 B)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2458)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2458 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_2458 _let_2 _let_1)) (tptp.v5_orders_3 (tptp.k2_waybel22 A B BOUND_VARIABLE_2458) (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))) B)))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_56 (or))) (let ((_let_57 (not _let_52))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_55) :args (_let_57))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_52))) (REFL :args (_let_53)) :args _let_56)) _let_55 :args (_let_53 true _let_52)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 0)) _let_58 :args ((not _let_20) true _let_51)))) (let ((_let_60 (REFL :args (_let_51)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 3)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_21))) :args _let_56)) :args ((or _let_21 _let_51))) _let_58 :args (_let_21 true _let_51)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 4)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_22))) :args _let_56)) :args ((or _let_22 _let_51))) _let_58 :args (_let_22 true _let_51)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 6)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_23))) :args _let_56)) :args ((or _let_23 _let_51))) _let_58 :args (_let_23 true _let_51)))) (let ((_let_64 (not _let_27))) (let ((_let_65 (tptp.k1_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25))) (let ((_let_66 (tptp.a_4_0_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_67 (tptp.k1_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_66))) (let ((_let_68 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_67 _let_65))) (let ((_let_69 (not _let_26))) (let ((_let_70 (tptp.r1_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_66))) (let ((_let_71 (not _let_70))) (let ((_let_72 (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C (tptp.a_4_0_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (tptp.r2_hidden C (tptp.a_4_0_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)))))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_28 _let_73 _let_71 _let_69 _let_68))) (let ((_let_75 (forall ((A $$unsorted) (BOUND_VARIABLE_4017 $$unsorted) (BOUND_VARIABLE_4015 $$unsorted)) (or (not (tptp.l1_orders_2 A)) (not (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C BOUND_VARIABLE_4015)) (tptp.r2_hidden C BOUND_VARIABLE_4017)))) (not (tptp.r1_yellow_0 A BOUND_VARIABLE_4015)) (not (tptp.r1_yellow_0 A BOUND_VARIABLE_4017)) (tptp.r1_orders_2 A (tptp.k1_yellow_0 A BOUND_VARIABLE_4015) (tptp.k1_yellow_0 A BOUND_VARIABLE_4017)))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_54 :args ((forall ((A $$unsorted) (BOUND_VARIABLE_4017 $$unsorted) (BOUND_VARIABLE_4015 $$unsorted)) (or (not (tptp.l1_orders_2 A)) (not (tptp.r1_tarski BOUND_VARIABLE_4015 BOUND_VARIABLE_4017)) (not (tptp.r1_yellow_0 A BOUND_VARIABLE_4015)) (not (tptp.r1_yellow_0 A BOUND_VARIABLE_4017)) (tptp.r1_orders_2 A (tptp.k1_yellow_0 A BOUND_VARIABLE_4015) (tptp.k1_yellow_0 A BOUND_VARIABLE_4017)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_77 (tptp.k1_waybel_0 _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_78 (tptp.k1_funct_1 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_79 (= _let_78 _let_77))) (let ((_let_80 (tptp.k1_waybel_0 _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_81 (tptp.k1_funct_1 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_82 (= _let_81 _let_80))) (let ((_let_83 (= _let_65 _let_77))) (let ((_let_84 (= _let_67 _let_80))) (let ((_let_85 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_81 _let_78))) (let ((_let_86 (not _let_68))) (let ((_let_87 (tptp.u1_struct_0 _let_34))) (let ((_let_88 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 _let_87))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.m1_relset_1 _let_35 _let_87 _let_37))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.v1_funct_2 _let_35 _let_87 _let_37))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.v1_funct_1 _let_35))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.l1_struct_0 _let_34))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.v3_struct_0 _let_34))) (let ((_let_101 (or _let_100 _let_99 _let_20 _let_97 _let_95 _let_93 _let_91 _let_89 _let_79))) (let ((_let_102 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (tptp.v3_struct_0 B) (not (tptp.l1_struct_0 B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_1 _let_2)) (not (tptp.m1_relset_1 C _let_1 _let_2)) (not (tptp.m1_subset_1 D _let_1)) (= (tptp.k1_waybel_0 A B C D) (tptp.k1_funct_1 C D)))))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (_let_102))) (let ((_let_105 (tptp.l1_orders_2 _let_34))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_98))) (let ((_let_108 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (tptp.l1_struct_0 A))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (_let_108))) (let ((_let_111 ((not (= (tptp.l1_orders_2 A) false))))) (let ((_let_112 (forall ((BOUND_VARIABLE_3100 $$unsorted)) (tptp.l1_orders_2 (tptp.k2_yellow_1 BOUND_VARIABLE_3100))))) (let ((_let_113 (1))) (let ((_let_114 (_let_112))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_114) :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k2_yellow_1 BOUND_VARIABLE_3100)))) :args _let_114)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args _let_113) :args (_let_105 false _let_112)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_106 _let_98 (not _let_107)))) _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_107 false _let_108)) :args (_let_98 false _let_105 false _let_107)))) (let ((_let_117 (tptp.r1_orders_2 _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 _let_87))) (let ((_let_120 (not _let_119))) (let ((_let_121 (or _let_120 (not (tptp.m1_subset_1 _let_81 _let_37)) _let_89 _let_118 (not (tptp.m1_subset_1 _let_78 _let_37)) _let_85))) (let ((_let_122 (forall ((D $$unsorted) (BOUND_VARIABLE_2958 $$unsorted)) (let ((_let_1 (tptp.k2_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_2 (tptp.k1_funct_1 _let_1 BOUND_VARIABLE_2958))) (let ((_let_3 (tptp.k1_funct_1 _let_1 D))) (let ((_let_4 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_6 (tptp.u1_struct_0 _let_5))) (or (not (tptp.m1_subset_1 D _let_6)) (not (tptp.m1_subset_1 _let_3 _let_4)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2958 _let_6)) (not (tptp.r1_orders_2 _let_5 D BOUND_VARIABLE_2958)) (not (tptp.m1_subset_1 _let_2 _let_4)) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_3 _let_2))))))))))) (let ((_let_123 (not _let_121))) (let ((_let_124 (= _let_36 _let_122))) (let ((_let_125 (not _let_122))) (let ((_let_126 (or _let_106 _let_28 _let_95 _let_93 _let_91 _let_124))) (let ((_let_127 (forall ((A $$unsorted) (BOUND_VARIABLE_3021 $$unsorted) (BOUND_VARIABLE_3019 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_3019))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 BOUND_VARIABLE_3019)) (not (tptp.v1_funct_1 BOUND_VARIABLE_3021)) (not (tptp.v1_funct_2 BOUND_VARIABLE_3021 _let_2 _let_1)) (not (tptp.m1_relset_1 BOUND_VARIABLE_3021 _let_2 _let_1)) (= (tptp.v5_orders_3 BOUND_VARIABLE_3021 A BOUND_VARIABLE_3019) (forall ((D $$unsorted) (BOUND_VARIABLE_2958 $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 BOUND_VARIABLE_3021 BOUND_VARIABLE_2958))) (let ((_let_2 (tptp.k1_funct_1 BOUND_VARIABLE_3021 D))) (let ((_let_3 (tptp.u1_struct_0 BOUND_VARIABLE_3019))) (let ((_let_4 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 D _let_4)) (not (tptp.m1_subset_1 _let_2 _let_3)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2958 _let_4)) (not (tptp.r1_orders_2 A D BOUND_VARIABLE_2958)) (not (tptp.m1_subset_1 _let_1 _let_3)) (tptp.r1_orders_2 BOUND_VARIABLE_3019 _let_2 _let_1)))))))))))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_15)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_54 :args ((forall ((A $$unsorted) (BOUND_VARIABLE_3021 $$unsorted) (BOUND_VARIABLE_3019 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_3019))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 BOUND_VARIABLE_3019)) (not (tptp.v1_funct_1 BOUND_VARIABLE_3021)) (not (tptp.v1_funct_2 BOUND_VARIABLE_3021 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_3021 _let_2 _let_1)) (= (tptp.v5_orders_3 BOUND_VARIABLE_3021 A BOUND_VARIABLE_3019) (forall ((D $$unsorted) (BOUND_VARIABLE_2958 $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 BOUND_VARIABLE_3021 BOUND_VARIABLE_2958))) (let ((_let_2 (tptp.k1_funct_1 BOUND_VARIABLE_3021 D))) (let ((_let_3 (tptp.u1_struct_0 BOUND_VARIABLE_3019))) (let ((_let_4 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 D _let_4)) (not (tptp.m1_subset_1 _let_2 _let_3)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2958 _let_4)) (not (tptp.r1_orders_2 A D BOUND_VARIABLE_2958)) (not (tptp.m1_subset_1 _let_1 _let_3)) (tptp.r1_orders_2 BOUND_VARIABLE_3019 _let_2 _let_1)))))))))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_129 (and _let_94 _let_92 _let_90))) (let ((_let_130 (or _let_20 _let_50 _let_48 _let_30 _let_29 _let_46 _let_28 _let_44 _let_42 _let_40 _let_129))) (let ((_let_131 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))))) (let ((_let_3 (tptp.k2_waybel22 A B C))) (let ((_let_4 (tptp.a_1_0_waybel22 A))) (or (tptp.v3_struct_0 B) (not (tptp.v2_orders_2 B)) (not (tptp.v3_orders_2 B)) (not (tptp.v4_orders_2 B)) (not (tptp.v3_lattice3 B)) (not (tptp.v3_waybel_3 B)) (not (tptp.l1_orders_2 B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_4 _let_1)) (not (tptp.m1_relset_1 C _let_4 _let_1)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m1_relset_1 _let_3 _let_2 _let_1)))))))))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_14)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_54 :args ((forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))))) (let ((_let_3 (tptp.k2_waybel22 A B C))) (let ((_let_4 (tptp.k1_waybel22 A))) (or (tptp.v3_struct_0 B) (not (tptp.v2_orders_2 B)) (not (tptp.v3_orders_2 B)) (not (tptp.v4_orders_2 B)) (not (tptp.v3_lattice3 B)) (not (tptp.v3_waybel_3 B)) (not (tptp.l1_orders_2 B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_4 _let_1)) (not (tptp.m1_relset_1 C _let_4 _let_1)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 9)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_56)) :args ((or _let_39 _let_51))) _let_58 :args (_let_39 true _let_51)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 8)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_56)) :args ((or _let_41 _let_51))) _let_58 :args (_let_41 true _let_51)))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 7)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_56)) :args ((or _let_43 _let_51))) _let_58 :args (_let_43 true _let_51)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 5)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_56)) :args ((or _let_45 _let_51))) _let_58 :args (_let_45 true _let_51)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 2)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_56)) :args ((or _let_47 _let_51))) _let_58 :args (_let_47 true _let_51)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 1)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_56)) :args ((or _let_49 _let_51))) _let_58 :args (_let_49 true _let_51)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_20 _let_50 _let_48 _let_30 _let_29 _let_46 _let_28 _let_44 _let_42 _let_40 _let_129 (not _let_130)))) _let_59 _let_138 _let_137 _let_61 _let_62 _let_136 _let_63 _let_135 _let_134 _let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_2 C (tptp.a_1_0_waybel22 A) (tptp.u1_struct_0 B)) false))))) :args (_let_131))) _let_132 :args (_let_130 false _let_131)) :args (_let_129 true _let_20 false _let_49 false _let_47 false _let_21 false _let_22 false _let_45 false _let_23 false _let_43 false _let_41 false _let_39 false _let_130)))) (let ((_let_140 (not _let_129))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_129 2)) :args ((or _let_90 _let_140))) _let_139 :args (_let_90 false _let_129)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_129 1)) :args ((or _let_92 _let_140))) _let_139 :args (_let_92 false _let_129)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_129 0)) :args ((or _let_94 _let_140))) _let_139 :args (_let_94 false _let_129)))) (let ((_let_144 (_let_125))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_144)) :args _let_144)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_122))) (REFL :args (_let_123)) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_124)) :args ((or _let_36 _let_125 (not _let_124)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 10)) _let_58 :args ((not _let_36) true _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_28 _let_106 _let_95 _let_93 _let_91 _let_124 (not _let_126)))) _let_63 _let_115 _let_143 _let_142 _let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_34 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v5_orders_3 BOUND_VARIABLE_3021 A BOUND_VARIABLE_3019)))) :args (_let_127))) _let_128 :args (_let_126 false _let_127)) :args (_let_124 false _let_23 false _let_105 false _let_94 false _let_92 false _let_90 false _let_126)) :args (_let_125 true _let_36 false _let_124)) :args (_let_123 true _let_122)))) (let ((_let_146 (REFL :args (_let_121)))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_121 2)) (CONG _let_146 (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_88))) :args _let_56)) :args ((or _let_88 _let_121))) _let_145 :args (_let_88 true _let_121)))) (let ((_let_148 (tptp.v2_orders_2 _let_34))) (let ((_let_149 (not _let_100))) (let ((_let_150 (and _let_149 (tptp.v1_orders_2 _let_34) _let_148 (tptp.v3_orders_2 _let_34) (tptp.v4_orders_2 _let_34) (tptp.v1_yellow_0 _let_34) (tptp.v2_yellow_0 _let_34) (tptp.v3_yellow_0 _let_34) (tptp.v24_waybel_0 _let_34) (tptp.v25_waybel_0 _let_34) (tptp.v1_lattice3 _let_34) (tptp.v2_lattice3 _let_34) (tptp.v3_lattice3 _let_34) (tptp.v3_waybel_3 _let_34)))) (let ((_let_151 (tptp.l1_orders_2 _let_32))) (let ((_let_152 (not _let_151))) (let ((_let_153 (tptp.v2_lattice3 _let_32))) (let ((_let_154 (not _let_153))) (let ((_let_155 (tptp.v2_yellow_0 _let_32))) (let ((_let_156 (not _let_155))) (let ((_let_157 (tptp.v4_orders_2 _let_32))) (let ((_let_158 (not _let_157))) (let ((_let_159 (tptp.v3_orders_2 _let_32))) (let ((_let_160 (not _let_159))) (let ((_let_161 (tptp.v2_orders_2 _let_32))) (let ((_let_162 (not _let_161))) (let ((_let_163 (tptp.v3_struct_0 _let_32))) (let ((_let_164 (or _let_163 _let_162 _let_160 _let_158 _let_156 _let_154 _let_152 _let_150))) (let ((_let_165 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (or (tptp.v3_struct_0 A) (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v2_yellow_0 A)) (not (tptp.v2_lattice3 A)) (not (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v3_waybel_3 _let_1))))))) (let ((_let_166 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_167 (forall ((BOUND_VARIABLE_3265 $$unsorted)) (tptp.v2_lattice3 (tptp.k3_yellow_1 BOUND_VARIABLE_3265))))) (let ((_let_168 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_169 (_let_167))) (let ((_let_170 (forall ((BOUND_VARIABLE_3286 $$unsorted)) (tptp.v2_yellow_0 (tptp.k3_yellow_1 BOUND_VARIABLE_3286))))) (let ((_let_171 (_let_170))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_171) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_3286)))) :args _let_171)) (AND_ELIM _let_168 :args (9)) :args (_let_155 false _let_170)))) (let ((_let_173 (forall ((BOUND_VARIABLE_3251 $$unsorted)) (tptp.v4_orders_2 (tptp.k3_yellow_1 BOUND_VARIABLE_3251))))) (let ((_let_174 (_let_173))) (let ((_let_175 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_174) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_3251)))) :args _let_174)) (AND_ELIM _let_168 :args (4)) :args (_let_157 false _let_173)))) (let ((_let_176 (forall ((BOUND_VARIABLE_3114 $$unsorted)) (tptp.l1_orders_2 (tptp.k3_yellow_1 BOUND_VARIABLE_3114))))) (let ((_let_177 (_let_176))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_177) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_3114)))) :args _let_177)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args _let_113) :args (_let_151 false _let_176)))) (let ((_let_179 (forall ((BOUND_VARIABLE_3244 $$unsorted)) (tptp.v3_orders_2 (tptp.k3_yellow_1 BOUND_VARIABLE_3244))))) (let ((_let_180 (_let_179))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_180) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_3244)))) :args _let_180)) (AND_ELIM _let_168 :args (3)) :args (_let_159 false _let_179)))) (let ((_let_182 (forall ((BOUND_VARIABLE_3237 $$unsorted)) (tptp.v2_orders_2 (tptp.k3_yellow_1 BOUND_VARIABLE_3237))))) (let ((_let_183 (_let_182))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_183) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_3237)))) :args _let_183)) (AND_ELIM _let_168 :args (2)) :args (_let_161 false _let_182)))) (let ((_let_185 (forall ((BOUND_VARIABLE_3224 $$unsorted)) (not (tptp.v3_struct_0 (tptp.k3_yellow_1 BOUND_VARIABLE_3224)))))) (let ((_let_186 (_let_185))) (let ((_let_187 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_186) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_3224)))) :args _let_186)) (AND_ELIM _let_168 :args (0)) :args ((not _let_163) false _let_185)))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_163 _let_162 _let_160 _let_152 _let_158 _let_156 _let_154 _let_150 (not _let_164)))) _let_187 _let_184 _let_181 _let_178 _let_175 _let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_169) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_3265)))) :args _let_169)) (AND_ELIM _let_168 :args (6)) :args (_let_153 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k9_waybel_0 A)))) :args (_let_165))) _let_166 :args (_let_164 false _let_165)) :args (_let_150 true _let_163 false _let_161 false _let_159 false _let_151 false _let_157 false _let_155 false _let_153 false _let_164)))) (let ((_let_189 (not _let_150))) (let ((_let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_150 0)) :args ((or _let_149 _let_189))) _let_188 :args (_let_149 false _let_150)))) (let ((_let_191 (or _let_28 _let_96))) (let ((_let_192 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_191)) :args ((or _let_28 _let_96 (not _let_191)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_191 false _let_108)) :args (_let_96 false _let_23 false _let_191)))) (let ((_let_193 (or _let_100 _let_99 _let_20 _let_97 _let_95 _let_93 _let_91 _let_120 _let_82))) (let ((_let_194 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_121 0)) (CONG _let_146 (MACRO_SR_PRED_INTRO :args ((= (not _let_120) _let_119))) :args _let_56)) :args ((or _let_119 _let_121))) _let_145 :args (_let_119 true _let_121)))) (let ((_let_195 (or _let_89 _let_83))) (let ((_let_196 (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1))) (= (tptp.k1_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.a_4_0_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 E)) (tptp.k1_waybel_0 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k2_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) E))))))) (let ((_let_197 (or _let_20 _let_50 _let_48 _let_30 _let_29 _let_46 _let_28 _let_44 _let_42 _let_40 _let_95 _let_93 _let_91 _let_196))) (let ((_let_198 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_2869 $$unsorted) (BOUND_VARIABLE_2867 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))))) (let ((_let_3 (tptp.a_1_0_waybel22 A))) (or (tptp.v3_struct_0 B) (not (tptp.v2_orders_2 B)) (not (tptp.v3_orders_2 B)) (not (tptp.v4_orders_2 B)) (not (tptp.v3_lattice3 B)) (not (tptp.v3_waybel_3 B)) (not (tptp.l1_orders_2 B)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2867)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2867 _let_3 _let_1)) (not (tptp.m1_relset_1 BOUND_VARIABLE_2867 _let_3 _let_1)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2869)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2869 _let_2 _let_1)) (not (tptp.m1_relset_1 BOUND_VARIABLE_2869 _let_2 _let_1)) (= (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))))) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1))) (= (tptp.k1_yellow_0 B (tptp.a_4_0_waybel22 A B BOUND_VARIABLE_2867 E)) (tptp.k1_waybel_0 _let_1 B BOUND_VARIABLE_2869 E))))) (= BOUND_VARIABLE_2869 (tptp.k2_waybel22 A B BOUND_VARIABLE_2867)))))))))) (let ((_let_199 (EQ_RESOLVE (ASSUME :args (_let_16)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_54 :args ((forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_2869 $$unsorted) (BOUND_VARIABLE_2867 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))))) (let ((_let_3 (tptp.k1_waybel22 A))) (or (tptp.v3_struct_0 B) (not (tptp.v2_orders_2 B)) (not (tptp.v3_orders_2 B)) (not (tptp.v4_orders_2 B)) (not (tptp.v3_lattice3 B)) (not (tptp.v3_waybel_3 B)) (not (tptp.l1_orders_2 B)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2867)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2867 _let_3 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_2867 _let_3 _let_1)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2869)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2869 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_2869 _let_2 _let_1)) (= (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))))) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1))) (= (tptp.k1_yellow_0 B (tptp.a_4_0_waybel22 A B BOUND_VARIABLE_2867 E)) (tptp.k1_waybel_0 _let_1 B BOUND_VARIABLE_2869 E))))) (= BOUND_VARIABLE_2869 (tptp.k2_waybel22 A B BOUND_VARIABLE_2867)))))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_200 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_197)) :args ((or _let_20 _let_50 _let_48 _let_30 _let_29 _let_46 _let_28 _let_44 _let_42 _let_40 _let_95 _let_93 _let_91 _let_196 (not _let_197)))) _let_59 _let_138 _let_137 _let_61 _let_62 _let_136 _let_63 _let_135 _let_134 _let_133 _let_143 _let_142 _let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_199 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_198)))) _let_199 :args (_let_197 false _let_198)) :args (_let_196 true _let_20 false _let_49 false _let_47 false _let_21 false _let_22 false _let_45 false _let_23 false _let_43 false _let_41 false _let_39 false _let_94 false _let_92 false _let_90 false _let_197)))) (let ((_let_201 (_let_196))) (let ((_let_202 ((not (= (tptp.m1_subset_1 E _let_87) false))))) (let ((_let_203 (ASSUME :args _let_201))) (let ((_let_204 (or _let_120 _let_84))) (let ((_let_205 (not _let_85))) (let ((_let_206 (and _let_205 _let_84 _let_83 _let_82 _let_79))) (let ((_let_207 (ASSUME :args (_let_205)))) (let ((_let_208 (ASSUME :args (_let_79)))) (let ((_let_209 (ASSUME :args (_let_83)))) (let ((_let_210 (ASSUME :args (_let_82)))) (let ((_let_211 (ASSUME :args (_let_84)))) (let ((_let_212 (and _let_70 _let_24))) (let ((_let_213 (or _let_20 _let_30 _let_29 _let_28 _let_212))) (let ((_let_214 (forall ((A $$unsorted) (BOUND_VARIABLE_3983 $$unsorted) (BOUND_VARIABLE_3980 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v4_orders_2 A)) (not (tptp.v3_lattice3 A)) (not (tptp.l1_orders_2 A)) (and (tptp.r1_yellow_0 A BOUND_VARIABLE_3980) (tptp.r2_yellow_0 A BOUND_VARIABLE_3983)))))) (let ((_let_215 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_216 (_let_214))) (let ((_let_217 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_249 _let_25))) (let ((_let_218 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_249 _let_66))) (let ((_let_219 (not _let_218))) (let ((_let_220 (or _let_219 _let_217))) (let ((_let_221 (forall ((F $$unsorted)) (or (not (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_249 (tptp.k2_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.a_4_1_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 F)))) (not (tptp.r2_hidden F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45)))))) (let ((_let_222 (not _let_221))) (let ((_let_223 (= _let_218 _let_222))) (let ((_let_224 (forall ((F $$unsorted)) (or (not (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_249 (tptp.k2_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.a_4_1_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 F)))) (not (tptp.r2_hidden F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)))))) (let ((_let_225 (not _let_224))) (let ((_let_226 (= _let_217 _let_225))) (let ((_let_227 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_728 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_228 (not _let_227))) (let ((_let_229 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_249 (tptp.k2_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.a_4_1_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_728))))) (let ((_let_230 (not _let_229))) (let ((_let_231 (tptp.k1_zfmisc_1 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(tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 B)))))) (= (tptp.r2_hidden A (tptp.a_4_0_waybel22 B C D E)) (not (forall ((F $$unsorted)) (or (not (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B))) (not (= A (tptp.k2_yellow_0 C (tptp.a_4_1_waybel22 B C D F)))) (not (tptp.r2_hidden F E)))))))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_242 (_let_240))) (let ((_let_243 ((tptp.r2_hidden A (tptp.a_4_0_waybel22 B C D E))))) (let ((_let_244 (or _let_20 _let_50 _let_48 _let_30 _let_29 _let_46 _let_28 _let_44 _let_42 _let_40 _let_89 _let_226))) (let ((_let_245 (not _let_226))) (let ((_let_246 (_let_222))) (let ((_let_247 (_let_224))) (let ((_let_248 (REFL :args (_let_234)))) (let ((_let_249 (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45)) (tptp.r2_hidden C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))))) (let ((_let_250 (tptp.r3_orders_2 _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_204)) :args ((or _let_120 _let_84 (not _let_204)))) _let_194 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_202)) :args _let_201)) _let_200 :args (_let_204 false _let_196)) :args (_let_84 false _let_119 false _let_204)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_195)) :args ((or _let_89 _let_83 (not _let_195)))) _let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_202)) :args _let_201)) _let_200 :args (_let_195 false _let_196)) :args (_let_83 false _let_88 false _let_195)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_193)) :args ((or _let_20 _let_95 _let_93 _let_91 _let_97 _let_100 _let_120 _let_99 _let_82 (not _let_193)))) _let_59 _let_143 _let_142 _let_141 _let_192 _let_190 _let_194 _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104))) _let_103 :args (_let_193 false _let_102)) :args (_let_82 true _let_20 false _let_94 false _let_92 false _let_90 false _let_96 true _let_100 false _let_119 false _let_98 false _let_193)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_20 _let_95 _let_93 _let_91 _let_97 _let_100 _let_89 _let_99 _let_79 (not _let_101)))) _let_59 _let_143 _let_142 _let_141 _let_192 _let_190 _let_147 _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104))) _let_103 :args (_let_101 false _let_102)) :args (_let_79 true _let_20 false _let_94 false _let_92 false _let_90 false _let_96 true _let_100 false _let_88 false _let_98 false _let_101)) :args (_let_86 true _let_85 false _let_84 false _let_83 false _let_82 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25 _let_66 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r1_orders_2 A (tptp.k1_yellow_0 A BOUND_VARIABLE_4015) (tptp.k1_yellow_0 A BOUND_VARIABLE_4017)) true))))) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_69 false _let_23 false _let_72 false _let_70 true _let_68 false _let_74)) :args (_let_64 true _let_26)) _let_63 _let_62 _let_61 _let_59 :args (false false _let_31 true _let_27 false _let_23 false _let_22 false _let_21 true _let_20)) :args (_let_19 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_orders_2 A) (= A (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_lattice3 A)) (and _let_2 _let_1 (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_2 _let_1 (tptp.v1_yellow_0 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_yellow_0 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (let ((_let_6 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v24_waybel_0 A)) (and _let_6 _let_5 _let_4 _let_3 _let_2 (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) _let_1 (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_orders_2 A))) (let ((_let_2 (tptp.v2_orders_2 A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_3 _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_3 _let_2 _let_1 (tptp.v2_lattice3 A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_yellow_0 A))) (let ((_let_2 (tptp.v4_orders_2 A))) (let ((_let_3 (tptp.v2_orders_2 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_4 _let_3 _let_2 (tptp.v1_lattice3 A) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_lattice3 A) (not (tptp.v3_struct_0 A))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_waybel_8 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v3_lattice3 A)) (and _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v1_waybel_5 A)) (and _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v2_lattice3 A) (not (tptp.v3_struct_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_orders_2 A))) (let ((_let_2 (tptp.v3_orders_2 A))) (let ((_let_3 (tptp.v2_orders_2 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v3_realset2 A)) (and _let_4 _let_3 _let_2 _let_1 (tptp.v1_waybel_5 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v2_waybel_8 A)) (and _let_2 _let_1 (tptp.v24_waybel_0 A) (tptp.v1_waybel_8 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_realset2 A)) (and _let_2 _let_1 (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v1_waybel_5 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v3_waybel_8 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v1_waybel_8 A) (tptp.v2_waybel_8 A)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v3_lattice3 A)) (and _let_1 (tptp.v3_yellow_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v1_waybel_5 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v9_waybel_1 A)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v3_realset2 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v1_waybel_8 A) (tptp.v2_waybel_8 A) (tptp.v3_waybel_8 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v3_yellow_0 A) (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_realset2 A)) (and _let_2 _let_1 (tptp.v16_waybel_0 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A)) (tptp.v3_yellow_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_lattice3 A))) (let ((_let_2 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v24_waybel_0 A)) (and (not (tptp.v3_struct_0 A)) _let_2 _let_1 (tptp.v2_yellow_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_waybel_0 A B) (tptp.k5_waybel_0 A (tptp.k1_struct_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k9_waybel_0 A) (tptp.a_1_1_waybel_0 A)))) _let_18 _let_17 _let_16 _let_15 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (tptp.m1_relset_1 B A A) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_struct_0 A B) (tptp.k1_zfmisc_1 _let_1))))) true (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k1_waybel22 A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1) (tptp.m1_subset_1 D _let_2)) (tptp.m1_subset_1 (tptp.k1_waybel_0 A B C D) _let_1))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.m1_subset_1 (tptp.k1_yellow_0 A B) (tptp.u1_struct_0 A)))) true _let_14 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.m1_subset_1 (tptp.k2_yellow_0 A B) (tptp.u1_struct_0 A)))) _let_13 true _let_12 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k5_waybel_0 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k7_waybel_0 A B) (tptp.k1_zfmisc_1 _let_1))))) true _let_11 true true true (forall ((A $$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))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (tptp.m2_relset_1 (tptp.u1_orders_2 A) _let_1 _let_1)))) true (exists ((A $$unsorted)) (tptp.l1_orders_2 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v2_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v24_waybel_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v1_waybel_8 _let_1) (tptp.v2_waybel_8 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v13_waybel_0 (tptp.k5_waybel_0 A B) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_8 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v2_waybel_3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.v1_waybel_8 _let_1) (tptp.v2_waybel_8 _let_1) (tptp.v3_waybel_8 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.v13_waybel_0 (tptp.k7_waybel_0 A B) A))) _let_10 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.v2_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v2_waybel_0 _let_1 A) (tptp.v13_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) _let_9 _let_8 (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (tptp.g1_orders_2 _let_1 B))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v1_orders_2 _let_2) (tptp.v3_realset2 _let_2)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1))))) (forall ((A $$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)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v3_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k5_waybel_0 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v1_lattice3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden A (tptp.a_1_0_waybel22 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= A (tptp.k7_waybel_0 _let_1 C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (= C (tptp.k1_tarski D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (= (tptp.r2_hidden A (tptp.a_1_1_waybel_0 B)) (exists ((C $$unsorted)) (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C B) (tptp.v13_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A C)))))) _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.k1_waybel22 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v3_lattice3 C) (tptp.v3_waybel_3 C) (tptp.l1_orders_2 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B))) (= (tptp.r2_hidden A (tptp.a_4_1_waybel22 B C D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (= A (tptp.k1_funct_1 D (tptp.k7_waybel_0 _let_1 F))) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G B) (= F (tptp.k1_tarski G)) (tptp.r2_hidden G E))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_relset_1 B A A) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_orders_2 A B) (tptp.g1_orders_2 C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v16_waybel_0 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A))) (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 $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_waybel_5 A))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_realset2 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A) (tptp.v1_waybel_5 A) (tptp.v3_realset2 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 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 $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k1_struct_0 A B) (tptp.k1_tarski B)))) _let_6 _let_5 _let_4 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r3_orders_2 A B B)))) _let_3 (forall ((A $$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 $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))) (= A B))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) _let_1 (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 $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$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)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 115.07/115.30 )
% 115.07/115.30 % SZS output end Proof for LAT349+1
% 115.07/115.30 % cvc5---1.0.5 exiting
% 115.07/115.31 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------