%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT366+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 06:04:27 EDT 2023

% Result   : Theorem 81.39s 81.66s
% Output   : Proof 81.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : LAT366+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.32  % Computer : n007.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Thu Aug 24 09:21:55 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.17/0.48  %----Proving TF0_NAR, FOF, or CNF
% 81.39/81.66  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.iLWvVSVH2j/cvc5---1.0.5_24088.p...
% 81.39/81.66  ------- get file name : TPTP file name is LAT366+1
% 81.39/81.66  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24088.smt2...
% 81.39/81.66  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 81.39/81.66  --- Run --no-e-matching --full-saturate-quant at 5...
% 81.39/81.66  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 81.39/81.66  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 81.39/81.66  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 81.39/81.66  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 81.39/81.66  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 81.39/81.66  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 81.39/81.66  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 81.39/81.66  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 81.39/81.66  --- Run --relevant-triggers --full-saturate-quant at 5...
% 81.39/81.66  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 81.39/81.66  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 81.39/81.66  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 81.39/81.66  % SZS status Theorem for LAT366+1
% 81.39/81.66  % SZS output start Proof for LAT366+1
% 81.39/81.66  (
% 81.39/81.66  (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.m2_relset_1 B _let_2 _let_2)) (and (=> (tptp.v7_waybel_1 B A) (tptp.v7_yellow_0 _let_1 A)) (=> (tptp.v8_waybel_1 B A) (tptp.v8_yellow_0 _let_1 A))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v8_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= E C) (= F D) (tptp.r1_waybel_3 A C D)) (tptp.r1_waybel_3 B E F)))))))))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_2 A B C)))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 B (tptp.k3_waybel_1 A B C) D) D)))))))))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v22_waybel_0 B A A) (tptp.v22_waybel_0 (tptp.k2_waybel_1 A A B) A (tptp.k2_yellow_2 A A B)))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_waybel_1 A A B))) (let ((_let_2 (tptp.k3_waybel_1 A A B))) (let ((_let_3 (tptp.k2_yellow_2 A A B))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_4 _let_4) (tptp.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_4 _let_4)) (and (tptp.v17_waybel_0 _let_1 A _let_3) (tptp.v18_waybel_0 _let_2 _let_3 A) (= (tptp.k1_waybel34 A _let_3 _let_1) _let_2) (= (tptp.k2_waybel34 A _let_3 _let_2) _let_1)))))))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v22_waybel_0 C A B) (tptp.v1_waybel34 (tptp.k1_waybel34 A B C) B A)))))))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m1_relset_1 C _let_3 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 B))))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v6_waybel_1 B A) (tptp.m1_relset_1 B _let_2 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1)))))))) (let ((_let_10 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (tptp.l1_orders_2 B))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_2 A B C)))) (let ((_let_3 (tptp.k3_waybel_1 A B C))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 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_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m1_relset_1 C _let_3 _let_2)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 B) (tptp.m1_yellow_0 _let_1 B))))))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_2 A B C)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_waybel_1 A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_4) (tptp.m1_relset_1 C _let_2 _let_4)) (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_14 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v1_waybel34 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (=> (tptp.r1_waybel_3 A D E) (tptp.r1_waybel_3 B (tptp.k7_yellow_2 _let_1 B C D) (tptp.k7_yellow_2 _let_1 B C E))))))))))))))))))) (let ((_let_15 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.v1_funct_2 B _let_1 _let_1))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (and _let_3 _let_2 (tptp.v8_waybel_1 B A)) (and _let_3 (not (tptp.v1_xboole_0 B)) _let_2 (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A)))))))))))) (let ((_let_16 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_lattice3 A) (not (tptp.v3_struct_0 A))))))) (let ((_let_17 (not (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v22_waybel_0 B A A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k2_yellow_2 A A B))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= E C) (= F D)) (= (tptp.r1_waybel_3 A C D) (tptp.r1_waybel_3 _let_1 E F))))))))))))))))))))) (let ((_let_18 (tptp.k3_waybel_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_19 (tptp.k2_yellow_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (tptp.u1_struct_0 _let_19))) (let ((_let_21 (tptp.k7_yellow_2 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21))) (let ((_let_23 (tptp.k7_yellow_2 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_23))) (let ((_let_25 (tptp.r1_waybel_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (tptp.r1_waybel_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 _let_23))) (let ((_let_27 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_29 _let_29))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.v1_funct_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_29 _let_29))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.v1_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (or _let_38 _let_37 _let_38 _let_37 _let_35 _let_33 _let_31 _let_28 _let_22))) (let ((_let_40 (forall ((A $$unsorted) (BOUND_VARIABLE_6182 $$unsorted) (BOUND_VARIABLE_6180 $$unsorted) (BOUND_VARIABLE_6178 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_2 A BOUND_VARIABLE_6178 BOUND_VARIABLE_6182)))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_6178))) (let ((_let_3 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l1_orders_2 A)) (tptp.v3_struct_0 BOUND_VARIABLE_6178) (not (tptp.l1_orders_2 BOUND_VARIABLE_6178)) (not (tptp.v1_funct_1 BOUND_VARIABLE_6182)) (not (tptp.v1_funct_2 BOUND_VARIABLE_6182 _let_3 _let_2)) (not (tptp.m2_relset_1 BOUND_VARIABLE_6182 _let_3 _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_6180 _let_1)) (= BOUND_VARIABLE_6180 (tptp.k7_yellow_2 _let_1 BOUND_VARIABLE_6178 (tptp.k3_waybel_1 A BOUND_VARIABLE_6178 BOUND_VARIABLE_6182) BOUND_VARIABLE_6180))))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_6180 (tptp.u1_struct_0 (tptp.k2_yellow_2 A BOUND_VARIABLE_6178 BOUND_VARIABLE_6182))) false))))) (let ((_let_44 (not _let_38))) (let ((_let_45 (tptp.v1_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_37 _let_46 _let_44))) (let ((_let_48 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.v3_struct_0 A)))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (tptp.r1_waybel_3 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_51 (= _let_25 _let_50))) (let ((_let_52 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_20))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_29))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_29))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.v22_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.v8_waybel_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.v3_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.v2_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69 _let_67 _let_46 _let_65 _let_63 _let_37 _let_35 _let_33 _let_61 _let_31 _let_59 _let_57 _let_28 _let_55 _let_53 _let_51))) (let ((_let_73 (forall ((A $$unsorted) (BOUND_VARIABLE_3541 $$unsorted) (BOUND_VARIABLE_3539 $$unsorted) (BOUND_VARIABLE_3537 $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A BOUND_VARIABLE_3537))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (or (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.v2_lattice3 A)) (not (tptp.v3_lattice3 A)) (not (tptp.l1_orders_2 A)) (not (tptp.v1_funct_1 BOUND_VARIABLE_3537)) (not (tptp.v1_funct_2 BOUND_VARIABLE_3537 _let_3 _let_3)) (not (tptp.v8_waybel_1 BOUND_VARIABLE_3537 A)) (not (tptp.m2_relset_1 BOUND_VARIABLE_3537 _let_3 _let_3)) (not (tptp.v22_waybel_0 BOUND_VARIABLE_3537 A A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3541 _let_3)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3541 _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3539 _let_3)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3539 _let_2)) (= (tptp.r1_waybel_3 A BOUND_VARIABLE_3541 BOUND_VARIABLE_3539) (tptp.r1_waybel_3 _let_1 BOUND_VARIABLE_3541 BOUND_VARIABLE_3539))))))))) (let ((_let_74 (not _let_72))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (or))) (let ((_let_77 (not _let_73))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_75) :args (_let_77))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_73))) (REFL :args (_let_74)) :args _let_76)) _let_75 :args (_let_74 true _let_73)))) (let ((_let_79 (REFL :args (_let_72)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 6)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_76)) :args ((or _let_36 _let_72))) _let_78 :args (_let_36 true _let_72)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 3)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_76)) :args ((or _let_45 _let_72))) _let_78 :args (_let_45 true _let_72)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_37 _let_44 (not _let_47)))) _let_81 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_orders_2 A) false))))) :args (_let_48))) _let_49 :args (_let_47 false _let_48)) :args (_let_44 false _let_45 false _let_36 false _let_47)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 13)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_76)) :args ((or _let_27 _let_72))) _let_78 :args (_let_27 true _let_72)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 10)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_76)) :args ((or _let_30 _let_72))) _let_78 :args (_let_30 true _let_72)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 8)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_76)) :args ((or _let_32 _let_72))) _let_78 :args (_let_32 true _let_72)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 7)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_76)) :args ((or _let_34 _let_72))) _let_78 :args (_let_34 true _let_72)))) (let ((_let_87 (or _let_38 _let_37 _let_38 _let_37 _let_35 _let_33 _let_31 _let_53 _let_24))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 15)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_76)) :args ((or _let_52 _let_72))) _let_78 :args (_let_52 true _let_72)))) (let ((_let_89 (tptp.v4_yellow_0 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_90 (tptp.m1_yellow_0 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_91 (tptp.v3_struct_0 _let_19))) (let ((_let_92 (tptp.v8_yellow_0 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_93 (not _let_25))) (let ((_let_94 (not _let_90))) (let ((_let_95 (not _let_92))) (let ((_let_96 (not _let_89))) (let ((_let_97 (or _let_71 _let_69 _let_67 _let_46 _let_65 _let_63 _let_37 _let_91 _let_96 _let_95 _let_94 _let_57 _let_28 _let_55 _let_93 _let_53 _let_50))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_72 16)) _let_78 :args ((not _let_51) true _let_72)))) (let ((_let_99 (_let_51))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 0)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_70))) :args _let_76)) :args ((or _let_70 _let_72))) _let_78 :args (_let_70 true _let_72)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 1)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) :args _let_76)) :args ((or _let_68 _let_72))) _let_78 :args (_let_68 true _let_72)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 2)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args _let_76)) :args ((or _let_66 _let_72))) _let_78 :args (_let_66 true _let_72)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 4)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_76)) :args ((or _let_64 _let_72))) _let_78 :args (_let_64 true _let_72)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 5)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) :args _let_76)) :args ((or _let_62 _let_72))) _let_78 :args (_let_62 true _let_72)))) (let ((_let_105 (tptp.v1_orders_2 _let_19))) (let ((_let_106 (and _let_105 _let_89 _let_90))) (let ((_let_107 (tptp.m1_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_29 _let_29))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_38 _let_37 _let_38 _let_37 _let_35 _let_33 _let_108 _let_106))) (let ((_let_110 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l1_orders_2 A)) (tptp.v3_struct_0 B) (not (tptp.l1_orders_2 B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_3 _let_2)) (not (tptp.m1_relset_1 C _let_3 _let_2)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 B) (tptp.m1_yellow_0 _let_1 B))))))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (= _let_30 _let_107))) (let ((_let_113 (_let_7))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_112)) :args ((or _let_31 _let_107 (not _let_112)))) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_29 _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m2_relset_1 C A B)))) :args _let_113)) _let_114 :args (_let_112 false _let_7)) :args (_let_107 false _let_30 false _let_112)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_109))) :args ((or _let_37 _let_35 _let_33 _let_38 _let_108 _let_106 (not _let_109)))) _let_80 _let_86 _let_85 _let_82 _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_2 C (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) false))))) :args (_let_110))) _let_111 :args (_let_109 false _let_110)) :args (_let_106 false _let_36 false _let_34 false _let_32 true _let_38 false _let_107 false _let_109)))) (let ((_let_117 (not _let_106))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_106 2)) :args ((or _let_90 _let_117))) _let_116 :args (_let_90 false _let_106)))) (let ((_let_119 (not _let_91))) (let ((_let_120 (and _let_119 _let_105 _let_89))) (let ((_let_121 (or _let_38 _let_37 _let_38 _let_37 _let_35 _let_33 _let_108 _let_120))) (let ((_let_122 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l1_orders_2 A)) (tptp.v3_struct_0 B) (not (tptp.l1_orders_2 B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_3 _let_2)) (not (tptp.m1_relset_1 C _let_3 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 B))))))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_120 0)) :args ((or _let_119 (not _let_120)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_121))) :args ((or _let_37 _let_35 _let_33 _let_38 _let_108 _let_120 (not _let_121)))) _let_80 _let_86 _let_85 _let_82 _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_2 C (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) false))))) :args (_let_122))) _let_123 :args (_let_121 false _let_122)) :args (_let_120 false _let_36 false _let_34 false _let_32 true _let_38 false _let_107 false _let_121)) :args (_let_119 false _let_120)))) (let ((_let_125 (or _let_61 _let_92))) (let ((_let_126 (and (or (not (tptp.v7_waybel_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.v7_yellow_0 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_125))) (let ((_let_127 (or _let_38 _let_71 _let_69 _let_67 _let_37 _let_35 _let_33 _let_31 _let_126))) (let ((_let_128 (forall ((A $$unsorted) (BOUND_VARIABLE_6386 $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A BOUND_VARIABLE_6386))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.l1_orders_2 A)) (not (tptp.v1_funct_1 BOUND_VARIABLE_6386)) (not (tptp.v1_funct_2 BOUND_VARIABLE_6386 _let_2 _let_2)) (not (tptp.m2_relset_1 BOUND_VARIABLE_6386 _let_2 _let_2)) (and (or (not (tptp.v7_waybel_1 BOUND_VARIABLE_6386 A)) (tptp.v7_yellow_0 _let_1 A)) (or (not (tptp.v8_waybel_1 BOUND_VARIABLE_6386 A)) (tptp.v8_yellow_0 _let_1 A))))))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (tptp.u1_struct_0 A))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 9)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_76)) :args ((or _let_60 _let_72))) _let_78 :args (_let_60 true _let_72)))) (let ((_let_132 (forall ((A $$unsorted) (BOUND_VARIABLE_6329 $$unsorted) (BOUND_VARIABLE_6327 $$unsorted) (BOUND_VARIABLE_6325 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_6325))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.v2_lattice3 A)) (not (tptp.v3_lattice3 A)) (not (tptp.l1_orders_2 A)) (tptp.v3_struct_0 BOUND_VARIABLE_6325) (not (tptp.v4_yellow_0 BOUND_VARIABLE_6325 A)) (not (tptp.v8_yellow_0 BOUND_VARIABLE_6325 A)) (not (tptp.m1_yellow_0 BOUND_VARIABLE_6325 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_6329 _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_6329 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_6327 _let_2)) (not (tptp.r1_waybel_3 A BOUND_VARIABLE_6329 BOUND_VARIABLE_6327)) (not (tptp.m1_subset_1 BOUND_VARIABLE_6327 _let_1)) (tptp.r1_waybel_3 BOUND_VARIABLE_6325 BOUND_VARIABLE_6329 BOUND_VARIABLE_6327))))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_71 _let_69 _let_67 _let_46 _let_65 _let_63 _let_37 _let_57 _let_28 _let_55 _let_53 _let_50 _let_93 _let_91 _let_96 _let_94 _let_95 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_132))) _let_133 :args (_let_97 false _let_132)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_61 _let_92 (not _let_125)))) _let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_126 1)) :args ((or _let_125 (not _let_126)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_71 _let_69 _let_67 _let_37 _let_35 _let_33 _let_31 _let_38 _let_126 (not _let_127)))) _let_100 _let_101 _let_102 _let_80 _let_86 _let_85 _let_84 _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_2 BOUND_VARIABLE_6386 _let_130 _let_130) false))))) :args (_let_128))) _let_129 :args (_let_127 false _let_128)) :args (_let_126 false _let_70 false _let_68 false _let_66 false _let_36 false _let_34 false _let_32 false _let_30 true _let_38 false _let_127)) :args (_let_125 false _let_126)) :args (_let_92 false _let_60 false _let_125)) _let_124 _let_118 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_106 1)) :args ((or _let_89 _let_117))) _let_116 :args (_let_89 false _let_106)) _let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 14)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_76)) :args ((or _let_54 _let_72))) _let_78 :args (_let_54 true _let_72)) _let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 12)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_76)) :args ((or _let_56 _let_72))) _let_78 :args (_let_56 true _let_72)) _let_80 _let_104 _let_103 _let_81 _let_102 _let_101 _let_100 (CNF_EQUIV_NEG2 :args _let_99) _let_98 :args (_let_93 false _let_97 false _let_92 true _let_91 false _let_90 false _let_89 false _let_52 false _let_54 false _let_27 false _let_56 false _let_36 false _let_62 false _let_64 false _let_45 false _let_66 false _let_68 false _let_70 true _let_50 true _let_51)))) (let ((_let_135 (not _let_50))) (let ((_let_136 (or _let_28 _let_53 _let_135 _let_26))) (let ((_let_137 (forall ((D $$unsorted) (BOUND_VARIABLE_4869 $$unsorted)) (let ((_let_1 (tptp.k3_waybel_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_2 (tptp.k2_yellow_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (or (not (tptp.m1_subset_1 D _let_3)) (not (tptp.m1_subset_1 BOUND_VARIABLE_4869 _let_3)) (not (tptp.r1_waybel_3 _let_2 D BOUND_VARIABLE_4869)) (tptp.r1_waybel_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k7_yellow_2 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1 D) (tptp.k7_yellow_2 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1 BOUND_VARIABLE_4869))))))))) (let ((_let_138 (tptp.v1_waybel34 _let_18 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_139 (= _let_138 _let_137))) (let ((_let_140 (tptp.m2_relset_1 _let_18 _let_20 _let_29))) (let ((_let_141 (not _let_140))) (let ((_let_142 (tptp.v1_funct_2 _let_18 _let_20 _let_29))) (let ((_let_143 (not _let_142))) (let ((_let_144 (tptp.v1_funct_1 _let_18))) (let ((_let_145 (not _let_144))) (let ((_let_146 (tptp.l1_orders_2 _let_19))) (let ((_let_147 (not _let_146))) (let ((_let_148 (tptp.v2_orders_2 _let_19))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_91 _let_149 _let_147 _let_38 _let_71 _let_37 _let_145 _let_143 _let_141 _let_139))) (let ((_let_151 (forall ((A $$unsorted) (BOUND_VARIABLE_4932 $$unsorted) (BOUND_VARIABLE_4930 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_4930))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v2_orders_2 A)) (not (tptp.l1_orders_2 A)) (tptp.v3_struct_0 BOUND_VARIABLE_4930) (not (tptp.v2_orders_2 BOUND_VARIABLE_4930)) (not (tptp.l1_orders_2 BOUND_VARIABLE_4930)) (not (tptp.v1_funct_1 BOUND_VARIABLE_4932)) (not (tptp.v1_funct_2 BOUND_VARIABLE_4932 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_4932 _let_2 _let_1)) (= (tptp.v1_waybel34 BOUND_VARIABLE_4932 A BOUND_VARIABLE_4930) (forall ((D $$unsorted) (BOUND_VARIABLE_4869 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 D _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_4869 _let_1)) (not (tptp.r1_waybel_3 A D BOUND_VARIABLE_4869)) (tptp.r1_waybel_3 BOUND_VARIABLE_4930 (tptp.k7_yellow_2 _let_1 BOUND_VARIABLE_4930 BOUND_VARIABLE_4932 D) (tptp.k7_yellow_2 _let_1 BOUND_VARIABLE_4930 BOUND_VARIABLE_4932 BOUND_VARIABLE_4869)))))))))))) (let ((_let_152 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_153 (and _let_144 _let_142 _let_140))) (let ((_let_154 (or _let_38 _let_37 _let_38 _let_37 _let_35 _let_33 _let_108 _let_153))) (let ((_let_155 (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_2 A B C)))) (let ((_let_3 (tptp.k3_waybel_1 A B C))) (let ((_let_4 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l1_orders_2 A)) (tptp.v3_struct_0 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)))))))))) (let ((_let_156 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_154))) :args ((or _let_37 _let_35 _let_33 _let_38 _let_108 _let_153 (not _let_154)))) _let_80 _let_86 _let_85 _let_82 _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k2_yellow_2 A B C)))) :args (_let_155))) _let_156 :args (_let_154 false _let_155)) :args (_let_153 false _let_36 false _let_34 false _let_32 true _let_38 false _let_107 false _let_154)))) (let ((_let_158 (not _let_153))) (let ((_let_159 (tptp.v3_lattice3 _let_19))) (let ((_let_160 (tptp.v2_lattice3 _let_19))) (let ((_let_161 (tptp.v1_lattice3 _let_19))) (let ((_let_162 (tptp.v4_orders_2 _let_19))) (let ((_let_163 (tptp.v3_orders_2 _let_19))) (let ((_let_164 (and _let_119 _let_105 _let_148 _let_163 _let_162 (tptp.v1_yellow_0 _let_19) (tptp.v2_yellow_0 _let_19) (tptp.v3_yellow_0 _let_19) _let_89 (tptp.v24_waybel_0 _let_19) (tptp.v25_waybel_0 _let_19) _let_161 _let_160 _let_159))) (let ((_let_165 (tptp.v6_waybel_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_166 (not _let_165))) (let ((_let_167 (or _let_71 _let_69 _let_67 _let_46 _let_65 _let_63 _let_37 _let_35 _let_33 _let_166 _let_108 _let_164))) (let ((_let_168 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.v2_lattice3 A)) (not (tptp.v3_lattice3 A)) (not (tptp.l1_orders_2 A)) (not (tptp.v1_funct_1 B)) (not (tptp.v1_funct_2 B _let_2 _let_2)) (not (tptp.v6_waybel_1 B A)) (not (tptp.m1_relset_1 B _let_2 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1)))))))) (let ((_let_169 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_170 (tptp.u1_struct_0 A))) (let ((_let_171 (and _let_34 (not (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_32 (tptp.v1_partfun1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_29 _let_29) _let_165))) (let ((_let_172 (or _let_38 _let_37 _let_108 _let_35 _let_33 _let_61 _let_171))) (let ((_let_173 (forall ((A $$unsorted) (BOUND_VARIABLE_4461 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.v1_funct_2 BOUND_VARIABLE_4461 _let_1 _let_1))) (let ((_let_3 (tptp.v1_funct_1 BOUND_VARIABLE_4461))) (or (tptp.v3_struct_0 A) (not (tptp.l1_orders_2 A)) (not (tptp.m1_relset_1 BOUND_VARIABLE_4461 _let_1 _let_1)) (not _let_3) (not _let_2) (not (tptp.v8_waybel_1 BOUND_VARIABLE_4461 A)) (and _let_3 (not (tptp.v1_xboole_0 BOUND_VARIABLE_4461)) _let_2 (tptp.v1_partfun1 BOUND_VARIABLE_4461 _let_1 _let_1) (tptp.v6_waybel_1 BOUND_VARIABLE_4461 A))))))))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (tptp.u1_struct_0 A))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_71 _let_69 _let_67 _let_46 _let_65 _let_63 _let_37 _let_35 _let_33 _let_108 _let_166 _let_164 (not _let_167)))) _let_100 _let_101 _let_102 _let_81 _let_103 _let_104 _let_80 _let_86 _let_85 _let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_171 4)) :args ((or _let_165 (not _let_171)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_37 _let_35 _let_33 _let_61 _let_38 _let_108 _let_171 (not _let_172)))) _let_80 _let_86 _let_85 _let_131 _let_82 _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_2 BOUND_VARIABLE_4461 _let_175 _let_175) false))))) :args (_let_173))) _let_174 :args (_let_172 false _let_173)) :args (_let_171 false _let_36 false _let_34 false _let_32 false _let_60 true _let_38 false _let_107 false _let_172)) :args (_let_165 false _let_171)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_2 B _let_170 _let_170) false))))) :args (_let_168))) _let_169 :args (_let_167 false _let_168)) :args (_let_164 false _let_70 false _let_68 false _let_66 false _let_45 false _let_64 false _let_62 false _let_36 false _let_34 false _let_32 false _let_107 false _let_165 false _let_167)))) (let ((_let_177 (not _let_164))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_164 2)) :args ((or _let_148 _let_177))) _let_176 :args (_let_148 false _let_164)))) (let ((_let_179 (or _let_37 _let_94 _let_146))) (let ((_let_180 (forall ((A $$unsorted) (BOUND_VARIABLE_5064 $$unsorted)) (or (not (tptp.l1_orders_2 A)) (not (tptp.m1_yellow_0 BOUND_VARIABLE_5064 A)) (tptp.l1_orders_2 BOUND_VARIABLE_5064))))) (let ((_let_181 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_37 _let_146 _let_94 (not _let_179)))) _let_80 _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_180))) _let_181 :args (_let_179 false _let_180)) :args (_let_146 false _let_36 false _let_90 false _let_179)))) (let ((_let_183 (tptp.k2_waybel_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_184 (tptp.k1_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 _let_183))) (let ((_let_185 (tptp.v1_waybel34 _let_184 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_186 (= _let_18 _let_184))) (let ((_let_187 (tptp.v22_waybel_0 _let_183 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_188 (not _let_187))) (let ((_let_189 (tptp.m2_relset_1 _let_183 _let_29 _let_20))) (let ((_let_190 (not _let_189))) (let ((_let_191 (tptp.v17_waybel_0 _let_183 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_192 (not _let_191))) (let ((_let_193 (tptp.v1_funct_2 _let_183 _let_29 _let_20))) (let ((_let_194 (not _let_193))) (let ((_let_195 (tptp.v1_funct_1 _let_183))) (let ((_let_196 (not _let_195))) (let ((_let_197 (not _let_159))) (let ((_let_198 (not _let_160))) (let ((_let_199 (not _let_161))) (let ((_let_200 (not _let_162))) (let ((_let_201 (not _let_163))) (let ((_let_202 (or _let_71 _let_69 _let_67 _let_46 _let_65 _let_63 _let_37 _let_149 _let_201 _let_200 _let_199 _let_198 _let_197 _let_147 _let_196 _let_194 _let_192 _let_190 _let_188 _let_185))) (let ((_let_203 (forall ((A $$unsorted) (BOUND_VARIABLE_5978 $$unsorted) (BOUND_VARIABLE_5976 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_5976))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.v2_lattice3 A)) (not (tptp.v3_lattice3 A)) (not (tptp.l1_orders_2 A)) (not (tptp.v2_orders_2 BOUND_VARIABLE_5976)) (not (tptp.v3_orders_2 BOUND_VARIABLE_5976)) (not (tptp.v4_orders_2 BOUND_VARIABLE_5976)) (not (tptp.v1_lattice3 BOUND_VARIABLE_5976)) (not (tptp.v2_lattice3 BOUND_VARIABLE_5976)) (not (tptp.v3_lattice3 BOUND_VARIABLE_5976)) (not (tptp.l1_orders_2 BOUND_VARIABLE_5976)) (not (tptp.v1_funct_1 BOUND_VARIABLE_5978)) (not (tptp.v1_funct_2 BOUND_VARIABLE_5978 _let_2 _let_1)) (not (tptp.v17_waybel_0 BOUND_VARIABLE_5978 A BOUND_VARIABLE_5976)) (not (tptp.m2_relset_1 BOUND_VARIABLE_5978 _let_2 _let_1)) (not (tptp.v22_waybel_0 BOUND_VARIABLE_5978 A BOUND_VARIABLE_5976)) (tptp.v1_waybel34 (tptp.k1_waybel34 A BOUND_VARIABLE_5976 BOUND_VARIABLE_5978) BOUND_VARIABLE_5976 A))))))) (let ((_let_204 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_205 (= _let_58 _let_187))) (let ((_let_206 (or _let_71 _let_69 _let_67 _let_46 _let_65 _let_63 _let_37 _let_35 _let_33 _let_61 _let_31 _let_205))) (let ((_let_207 (forall ((A $$unsorted) (BOUND_VARIABLE_6092 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.v2_lattice3 A)) (not (tptp.v3_lattice3 A)) (not (tptp.l1_orders_2 A)) (not (tptp.v1_funct_1 BOUND_VARIABLE_6092)) (not (tptp.v1_funct_2 BOUND_VARIABLE_6092 _let_1 _let_1)) (not (tptp.v8_waybel_1 BOUND_VARIABLE_6092 A)) (not (tptp.m2_relset_1 BOUND_VARIABLE_6092 _let_1 _let_1)) (= (tptp.v22_waybel_0 BOUND_VARIABLE_6092 A A) (tptp.v22_waybel_0 (tptp.k2_waybel_1 A A BOUND_VARIABLE_6092) A (tptp.k2_yellow_2 A A BOUND_VARIABLE_6092)))))))) (let ((_let_208 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_209 (tptp.u1_struct_0 A))) (let ((_let_210 (and _let_191 (tptp.v18_waybel_0 _let_18 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_186 (= _let_183 (tptp.k2_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 _let_18))))) (let ((_let_211 (or _let_71 _let_69 _let_67 _let_46 _let_65 _let_63 _let_37 _let_35 _let_33 _let_61 _let_31 _let_210))) (let ((_let_212 (forall ((A $$unsorted) (BOUND_VARIABLE_6044 $$unsorted)) (let ((_let_1 (tptp.k3_waybel_1 A A BOUND_VARIABLE_6044))) (let ((_let_2 (tptp.k2_yellow_2 A A BOUND_VARIABLE_6044))) (let ((_let_3 (tptp.k2_waybel_1 A A 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(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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v8_yellow_0 B A) (tptp.v6_yellow_0 B A)))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B)))))) (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)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v5_yellow_0 B A))) (let ((_let_2 (tptp.v4_yellow_0 B A))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_yellow_0 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_rat_1 B)))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v6_yellow_0 B A))) (let ((_let_2 (tptp.v4_yellow_0 B A))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_yellow_0 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (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)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v4_ordinal2 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_membered B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) _let_16 (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.v4_membered 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.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.v1_funct_2 B _let_1 _let_1))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (and _let_3 _let_2 (tptp.v6_waybel_1 B A)) (and _let_3 (not (tptp.v1_xboole_0 B)) _let_2 (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v11_quantal1 B) (tptp.v5_orders_3 B A A)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v22_waybel_0 C A B)) (and (not (tptp.v1_xboole_0 C)) _let_4 _let_3 (tptp.v5_orders_3 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v19_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v5_orders_3 C A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v7_yellow_0 B A) (tptp.v3_waybel_0 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v4_waybel_1 C A B)) (and _let_4 (not (tptp.v1_xboole_0 C)) _let_3 (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B))))))))))) (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 (tptp.v25_waybel_0 A))) (let ((_let_2 (tptp.v24_waybel_0 A))) (let ((_let_3 (tptp.v2_yellow_0 A))) (let ((_let_4 (tptp.v4_orders_2 A))) (let ((_let_5 (tptp.v3_orders_2 A))) (let ((_let_6 (tptp.v2_orders_2 A))) (let ((_let_7 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1) (and _let_7 _let_6 _let_5 _let_4 (tptp.v1_yellow_0 A) _let_3 (tptp.v3_yellow_0 A) _let_2 _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_finset_1 B))))) (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 $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) (forall ((A $$unsorted)) (=> (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_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v7_yellow_0 B A) (not (tptp.v3_struct_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v8_yellow_0 B A) (tptp.v4_waybel_0 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v5_waybel_1 C B A)) (and _let_4 (not (tptp.v1_xboole_0 C)) _let_3 (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted)) (=> (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_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v8_yellow_0 B A) (not (tptp.v3_struct_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.v1_funct_2 B _let_1 _let_1))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (and _let_3 _let_2 (tptp.v7_waybel_1 B A)) (and _let_3 (not (tptp.v1_xboole_0 B)) _let_2 (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) _let_15 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v3_yellow_0 A) (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A)) (tptp.v3_yellow_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v17_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v4_yellow_0 B A))) (=> (tptp.m1_yellow_0 B A) (=> _let_1 (and (tptp.v2_orders_2 B) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v18_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v4_yellow_0 B A))) (=> (tptp.m1_yellow_0 B A) (=> _let_1 (and (tptp.v3_orders_2 B) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v23_waybel_0 C A B)) (and _let_4 (tptp.v2_funct_1 C) _let_3 (tptp.v5_orders_3 C A B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v4_yellow_0 B A))) (=> (tptp.m1_yellow_0 B A) (=> _let_1 (and (tptp.v4_orders_2 B) _let_1))))))) (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 $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v7_yellow_0 B A) (tptp.v5_yellow_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.k2_waybel_1 A B C) (tptp.k8_relat_1 (tptp.u1_struct_0 (tptp.k2_yellow_2 A B C)) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k3_waybel_1 A B C) (tptp.k7_grcat_1 (tptp.k2_yellow_2 A B C))))))))))) _let_14 (forall ((A $$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 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k1_waybel34 A B C))) (=> (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.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (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))))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_waybel34 A B C))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) _let_13 _let_12 true _let_11 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_grcat_1 A))) (=> (tptp.l1_struct_0 A) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k7_yellow_2 A B C D) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.v1_relat_1 (tptp.k8_relat_1 A B)))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))) true true true _let_10 (forall ((A $$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 $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (tptp.m1_yellow_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v7_waybel_1 B A) (tptp.m1_relset_1 B _let_2 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.v5_yellow_0 _let_1 A) (tptp.v7_yellow_0 _let_1 A) (tptp.v3_waybel_0 _let_1 A)))))) _let_9 (forall ((A $$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 $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 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_lattice3 A) (tptp.l1_orders_2 A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v22_waybel_0 B A A) (tptp.v7_waybel_1 B A) (tptp.m1_relset_1 B _let_2 _let_2)) (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.v4_yellow_0 _let_1 A) (tptp.v5_yellow_0 _let_1 A) (tptp.v7_yellow_0 _let_1 A) (tptp.v3_waybel_0 _let_1 A) (tptp.v4_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) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_waybel34 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (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_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_3) (tptp.v17_waybel_0 C A B) (tptp.m1_relset_1 C _let_2 _let_3)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_3 _let_2) (tptp.v1_partfun1 _let_1 _let_3 _let_2) (tptp.v18_waybel_0 _let_1 B A) (tptp.v20_waybel_0 _let_1 B A) (tptp.v22_waybel_0 _let_1 B A) (tptp.v5_waybel_1 _let_1 A B) (tptp.v5_orders_3 _let_1 B A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A B C))) (let ((_let_2 (tptp.k2_waybel_1 A B C))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 A))) (let ((_let_5 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_5) (tptp.v5_orders_3 C A B) (tptp.m1_relset_1 C _let_4 _let_5)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_funct_2 _let_2 _let_4 _let_3) (tptp.v2_funct_2 _let_2 _let_4 _let_3) (tptp.v1_partfun1 _let_2 _let_4 _let_3) (tptp.v5_orders_3 _let_2 A _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_waybel34 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 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_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_3) (tptp.v18_waybel_0 C B A) (tptp.m1_relset_1 C _let_2 _let_3)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_3 _let_2) (tptp.v1_partfun1 _let_1 _let_3 _let_2) (tptp.v17_waybel_0 _let_1 A B) (tptp.v19_waybel_0 _let_1 A B) (tptp.v21_waybel_0 _let_1 A B) (tptp.v4_waybel_1 _let_1 A B) (tptp.v5_orders_3 _let_1 A B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v23_waybel_0 _let_1 A A)))))) _let_8 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_grcat_1 A))) (=> (tptp.l1_struct_0 A) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v2_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v5_orders_3 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v11_quantal1 _let_1) (tptp.v5_orders_3 _let_1 A A) (tptp.v17_waybel_0 _let_1 A A) (tptp.v18_waybel_0 _let_1 A A) (tptp.v19_waybel_0 _let_1 A A) (tptp.v20_waybel_0 _let_1 A A) (tptp.v21_waybel_0 _let_1 A A) (tptp.v22_waybel_0 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A) (tptp.v7_waybel_1 _let_1 A) (tptp.v8_waybel_1 _let_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v5_orders_3 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A) (tptp.v7_waybel_1 _let_1 A)))))) (forall ((A $$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.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v5_orders_3 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A) (tptp.v7_waybel_1 _let_1 A) (tptp.v8_waybel_1 _let_1 A)))))) (forall ((A $$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.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1))))) (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_2 A B C)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_waybel_1 A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_4) (tptp.m1_relset_1 C _let_2 _let_4)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_funct_2 _let_3 _let_2 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1)))))))) (forall ((A $$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 $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A B C))) (let ((_let_2 (tptp.k3_waybel_1 A B C))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.u1_struct_0 _let_1))) (let ((_let_5 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_3) (tptp.m1_relset_1 C _let_5 _let_3)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v2_funct_1 _let_2) (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_funct_2 _let_2 _let_4 _let_3) (tptp.v1_partfun1 _let_2 _let_4 _let_3) (tptp.v5_orders_3 _let_2 _let_1 B))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 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_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v18_waybel_0 C A B) (tptp.m1_relset_1 C _let_3 _let_2)) (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.v4_yellow_0 _let_1 B) (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))))))) (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 $$unsorted)) (=> (tptp.m1_relset_1 B A A) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_orders_2 A B) (tptp.g1_orders_2 C D)) (and (= A C) (= B D)))))) (exists ((A $$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 $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v19_waybel_0 C A B) (tptp.v20_waybel_0 C A B))))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v5_orders_3 C A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v2_yellow_0 B) (tptp.v3_yellow_0 B) (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.v3_waybel_0 B A) (tptp.v4_waybel_0 B A) (tptp.v24_waybel_0 B) (tptp.v25_waybel_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B 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 $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (tptp.v1_orders_2 B) (tptp.v5_yellow_0 B A) (tptp.v6_yellow_0 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v11_quantal1 B) (tptp.v5_orders_3 B A A) (tptp.v17_waybel_0 B A A) (tptp.v18_waybel_0 B A A) (tptp.v19_waybel_0 B A A) (tptp.v20_waybel_0 B A A) (tptp.v21_waybel_0 B A A) (tptp.v22_waybel_0 B A A) (tptp.v6_waybel_1 B A) (tptp.v7_waybel_1 B A) (tptp.v8_waybel_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A) (tptp.v7_waybel_1 B A)))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (exists ((A $$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_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.v8_yellow_0 B A) (tptp.v3_waybel_0 B A) (tptp.v4_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A) (tptp.v8_waybel_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_yellow_0 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))) (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)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))) (forall ((A $$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)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.v8_yellow_0 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1) (tptp.m1_subset_1 D A)) (= (tptp.k7_yellow_2 A B C D) (tptp.k1_funct_1 C D))))) _let_7 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) _let_5 _let_4 _let_3 _let_2 (forall ((A $$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))) _let_1 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 81.39/81.68  )
% 81.39/81.68  % SZS output end Proof for LAT366+1
% 81.39/81.68  % cvc5---1.0.5 exiting
% 81.39/81.68  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------