%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT357+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 06:04:21 EDT 2023

% Result   : Theorem 68.50s 68.74s
% Output   : Proof 68.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : LAT357+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.37  % Computer : n011.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Thu Aug 24 08:42:07 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.52  %----Proving TF0_NAR, FOF, or CNF
% 68.50/68.74  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.AKJq61rTyG/cvc5---1.0.5_21651.p...
% 68.50/68.74  ------- get file name : TPTP file name is LAT357+1
% 68.50/68.74  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21651.smt2...
% 68.50/68.74  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 68.50/68.74  --- Run --no-e-matching --full-saturate-quant at 5...
% 68.50/68.74  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 68.50/68.74  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 68.50/68.74  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 68.50/68.74  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 68.50/68.74  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 68.50/68.74  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 68.50/68.74  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 68.50/68.74  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 68.50/68.74  --- Run --relevant-triggers --full-saturate-quant at 5...
% 68.50/68.74  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 68.50/68.74  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 68.50/68.74  % SZS status Theorem for LAT357+1
% 68.50/68.74  % SZS output start Proof for LAT357+1
% 68.50/68.74  (
% 68.50/68.74  (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)) (=> (and (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_3 _let_2) (tptp.m2_relset_1 G _let_3 _let_2)) (=> (and (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B D F) A B) (tptp.v3_waybel_1 (tptp.k1_waybel_1 B C E G) B C)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A C (tptp.k7_funct_2 _let_1 _let_2 _let_3 D E) (tptp.k7_funct_2 _let_3 _let_2 _let_1 G F)) A C))))))))))))))))))))))))))) (let ((_let_2 (forall ((A $$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)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (and (tptp.v17_waybel_0 D A B) (tptp.v17_waybel_0 E B C)) (tptp.v17_waybel_0 (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A C)))))))))))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k7_funct_2 A B C D E))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m1_relset_1 E B C)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A C) (tptp.m2_relset_1 _let_1 A C))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k1_waybel34 A B C))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_8 (forall ((A $$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)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (=> (and (tptp.v3_lattice3 A) (tptp.v3_lattice3 B) (tptp.v17_waybel_0 C A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k1_waybel34 A B C)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B))))))))))))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_lattice3 A) (not (tptp.v3_struct_0 A))))))) (let ((_let_10 (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)) (=> (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 $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.v3_lattice3 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v17_waybel_0 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_3) (tptp.v17_waybel_0 E B C) (tptp.m2_relset_1 E _let_2 _let_3)) (= (tptp.k1_waybel34 A C (tptp.k7_funct_2 _let_1 _let_2 _let_3 D E)) (tptp.k7_funct_2 _let_3 _let_2 _let_1 (tptp.k1_waybel34 B C E) (tptp.k1_waybel34 A B D))))))))))))))))))))) (let ((_let_11 (forall ((A $$unsorted) (BOUND_VARIABLE_4251 $$unsorted) (BOUND_VARIABLE_4249 $$unsorted) (BOUND_VARIABLE_4247 $$unsorted) (BOUND_VARIABLE_4245 $$unsorted) (BOUND_VARIABLE_4243 $$unsorted) (BOUND_VARIABLE_4241 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_4241))) (let ((_let_3 (tptp.u1_struct_0 BOUND_VARIABLE_4251))) (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)) (tptp.v3_struct_0 BOUND_VARIABLE_4241) (not (tptp.v2_orders_2 BOUND_VARIABLE_4241)) (not (tptp.v3_orders_2 BOUND_VARIABLE_4241)) (not (tptp.v4_orders_2 BOUND_VARIABLE_4241)) (not (tptp.l1_orders_2 BOUND_VARIABLE_4241)) (tptp.v3_struct_0 BOUND_VARIABLE_4251) (not (tptp.v2_orders_2 BOUND_VARIABLE_4251)) (not (tptp.v3_orders_2 BOUND_VARIABLE_4251)) (not (tptp.v4_orders_2 BOUND_VARIABLE_4251)) (not (tptp.l1_orders_2 BOUND_VARIABLE_4251)) (not (tptp.v1_funct_1 BOUND_VARIABLE_4243)) (not (tptp.v1_funct_2 BOUND_VARIABLE_4243 _let_1 _let_2)) (not (tptp.m2_relset_1 BOUND_VARIABLE_4243 _let_1 _let_2)) (not (tptp.v1_funct_1 BOUND_VARIABLE_4249)) (not (tptp.v1_funct_2 BOUND_VARIABLE_4249 _let_2 _let_3)) (not (tptp.m2_relset_1 BOUND_VARIABLE_4249 _let_2 _let_3)) (not (tptp.v1_funct_1 BOUND_VARIABLE_4245)) (not (tptp.v1_funct_2 BOUND_VARIABLE_4245 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_4245 _let_2 _let_1)) (not (tptp.v3_waybel_1 (tptp.k1_waybel_1 A BOUND_VARIABLE_4241 BOUND_VARIABLE_4243 BOUND_VARIABLE_4245) A BOUND_VARIABLE_4241)) (not (tptp.v1_funct_1 BOUND_VARIABLE_4247)) (not (tptp.v1_funct_2 BOUND_VARIABLE_4247 _let_3 _let_2)) (not (tptp.m2_relset_1 BOUND_VARIABLE_4247 _let_3 _let_2)) (not (tptp.v3_waybel_1 (tptp.k1_waybel_1 BOUND_VARIABLE_4241 BOUND_VARIABLE_4251 BOUND_VARIABLE_4249 BOUND_VARIABLE_4247) BOUND_VARIABLE_4241 BOUND_VARIABLE_4251)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A BOUND_VARIABLE_4251 (tptp.k7_funct_2 _let_1 _let_2 _let_3 BOUND_VARIABLE_4243 BOUND_VARIABLE_4249) (tptp.k7_funct_2 _let_3 _let_2 _let_1 BOUND_VARIABLE_4247 BOUND_VARIABLE_4245)) A BOUND_VARIABLE_4251)))))))) (let ((_let_12 (tptp.k1_waybel34 skv_2 skv_6 skv_5))) (let ((_let_13 (tptp.k1_waybel34 skv_6 skv_3 skv_4))) (let ((_let_14 (tptp.u1_struct_0 skv_2))) (let ((_let_15 (tptp.u1_struct_0 skv_6))) (let ((_let_16 (tptp.u1_struct_0 skv_3))) (let ((_let_17 (tptp.k7_funct_2 _let_16 _let_15 _let_14 _let_13 _let_12))) (let ((_let_18 (tptp.k7_funct_2 _let_14 _let_15 _let_16 skv_5 skv_4))) (let ((_let_19 (tptp.v3_waybel_1 (tptp.k1_waybel_1 skv_2 skv_3 _let_18 _let_17) skv_2 skv_3))) (let ((_let_20 (tptp.v3_waybel_1 (tptp.k1_waybel_1 skv_6 skv_3 skv_4 _let_13) skv_6 skv_3))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.m2_relset_1 _let_13 _let_16 _let_15))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.v1_funct_2 _let_13 _let_16 _let_15))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.v1_funct_1 _let_13))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.v3_waybel_1 (tptp.k1_waybel_1 skv_2 skv_6 skv_5 _let_12) skv_2 skv_6))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.m2_relset_1 _let_12 _let_15 _let_14))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.v1_funct_2 _let_12 _let_15 _let_14))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.v1_funct_1 _let_12))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.m2_relset_1 skv_4 _let_15 _let_16))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.v1_funct_2 skv_4 _let_15 _let_16))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.v1_funct_1 skv_4))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.m2_relset_1 skv_5 _let_14 _let_15))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.v1_funct_2 skv_5 _let_14 _let_15))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.v1_funct_1 skv_5))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.l1_orders_2 skv_3))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.v4_orders_2 skv_3))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.v3_orders_2 skv_3))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.v2_orders_2 skv_3))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.v3_struct_0 skv_3))) (let ((_let_57 (tptp.l1_orders_2 skv_6))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.v4_orders_2 skv_6))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.v3_orders_2 skv_6))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.v2_orders_2 skv_6))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.v3_struct_0 skv_6))) (let ((_let_66 (tptp.l1_orders_2 skv_2))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.v4_orders_2 skv_2))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.v3_orders_2 skv_2))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.v2_orders_2 skv_2))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.v3_struct_0 skv_2))) (let ((_let_75 (or _let_74 _let_73 _let_71 _let_69 _let_67 _let_65 _let_64 _let_62 _let_60 _let_58 _let_56 _let_55 _let_53 _let_51 _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_35 _let_33 _let_31 _let_29 _let_27 _let_25 _let_23 _let_21 _let_19))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (not _let_75))) (let ((_let_78 (= (tptp.k1_waybel34 skv_2 skv_3 _let_18) _let_17))) (let ((_let_79 (= _let_78 _let_19))) (let ((_let_80 (not _let_19))) (let ((_let_81 (tptp.m2_relset_1 _let_17 _let_16 _let_14))) (let ((_let_82 (not _let_81))) (let ((_let_83 (tptp.v1_funct_2 _let_17 _let_16 _let_14))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.v1_funct_1 _let_17))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.v17_waybel_0 _let_18 skv_2 skv_3))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.m2_relset_1 _let_18 _let_14 _let_16))) (let ((_let_90 (not _let_89))) (let ((_let_91 (tptp.v1_funct_2 _let_18 _let_14 _let_16))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.v1_funct_1 _let_18))) (let ((_let_94 (not _let_93))) (let ((_let_95 (tptp.v3_lattice3 skv_3))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.v2_lattice3 skv_3))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.v1_lattice3 skv_3))) (let ((_let_100 (not _let_99))) (let ((_let_101 (tptp.v3_lattice3 skv_2))) (let ((_let_102 (not _let_101))) (let ((_let_103 (tptp.v2_lattice3 skv_2))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.v1_lattice3 skv_2))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_73 _let_71 _let_69 _let_106 _let_104 _let_67 _let_102 _let_55 _let_53 _let_51 _let_100 _let_98 _let_49 _let_96 _let_94 _let_92 _let_90 _let_88 _let_86 _let_84 _let_82 _let_79))) (let ((_let_108 (forall ((A $$unsorted) (BOUND_VARIABLE_3208 $$unsorted) (BOUND_VARIABLE_3206 $$unsorted) (BOUND_VARIABLE_3204 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_3204))) (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.l1_orders_2 A)) (not (tptp.v3_lattice3 A)) (not (tptp.v2_orders_2 BOUND_VARIABLE_3204)) (not (tptp.v3_orders_2 BOUND_VARIABLE_3204)) (not (tptp.v4_orders_2 BOUND_VARIABLE_3204)) (not (tptp.v1_lattice3 BOUND_VARIABLE_3204)) (not (tptp.v2_lattice3 BOUND_VARIABLE_3204)) (not (tptp.l1_orders_2 BOUND_VARIABLE_3204)) (not (tptp.v3_lattice3 BOUND_VARIABLE_3204)) (not (tptp.v1_funct_1 BOUND_VARIABLE_3208)) (not (tptp.v1_funct_2 BOUND_VARIABLE_3208 _let_1 _let_2)) (not (tptp.m2_relset_1 BOUND_VARIABLE_3208 _let_1 _let_2)) (not (tptp.v17_waybel_0 BOUND_VARIABLE_3208 A BOUND_VARIABLE_3204)) (not (tptp.v1_funct_1 BOUND_VARIABLE_3206)) (not (tptp.v1_funct_2 BOUND_VARIABLE_3206 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_3206 _let_2 _let_1)) (= (tptp.v3_waybel_1 (tptp.k1_waybel_1 A BOUND_VARIABLE_3204 BOUND_VARIABLE_3208 BOUND_VARIABLE_3206) A BOUND_VARIABLE_3204) (= BOUND_VARIABLE_3206 (tptp.k1_waybel34 A BOUND_VARIABLE_3204 BOUND_VARIABLE_3208))))))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (_let_108))) (let ((_let_111 (tptp.u1_struct_0 A))) (let ((_let_112 (tptp.u1_struct_0 BOUND_VARIABLE_3204))) (let ((_let_113 ((not (= (tptp.v1_funct_2 BOUND_VARIABLE_3208 _let_111 _let_112) false)) (not (= (tptp.v1_funct_2 BOUND_VARIABLE_3206 _let_112 _let_111) false))))) (let ((_let_114 (and _let_85 _let_83 _let_81))) (let ((_let_115 (tptp.m1_relset_1 _let_12 _let_15 _let_14))) (let ((_let_116 (not _let_115))) (let ((_let_117 (tptp.m1_relset_1 _let_13 _let_16 _let_15))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.v1_xboole_0 _let_15))) (let ((_let_120 (or _let_119 _let_27 _let_25 _let_118 _let_35 _let_33 _let_116 _let_114))) (let ((_let_121 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k7_funct_2 A B C D E))) (or (tptp.v1_xboole_0 B) (not (tptp.v1_funct_1 D)) (not (tptp.v1_funct_2 D A B)) (not (tptp.m1_relset_1 D A B)) (not (tptp.v1_funct_1 E)) (not (tptp.v1_funct_2 E B C)) (not (tptp.m1_relset_1 E B C)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A C) (tptp.m2_relset_1 _let_1 A C))))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (_let_121))) (let ((_let_124 ((tptp.k7_funct_2 A B C D E)))) (let ((_let_125 (= _let_30 _let_115))) (let ((_let_126 (_let_3))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 (and _let_34 _let_32 _let_30))) (let ((_let_129 (tptp.m1_relset_1 skv_5 _let_14 _let_15))) (let ((_let_130 (not _let_129))) (let ((_let_131 (tptp.v2_lattice3 skv_6))) (let ((_let_132 (not _let_131))) (let ((_let_133 (tptp.v1_lattice3 skv_6))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_73 _let_71 _let_69 _let_106 _let_104 _let_67 _let_64 _let_62 _let_60 _let_134 _let_132 _let_58 _let_47 _let_45 _let_130 _let_128))) (let ((_let_136 (forall ((A $$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))) (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.l1_orders_2 A)) (not (tptp.v2_orders_2 B)) (not (tptp.v3_orders_2 B)) (not (tptp.v4_orders_2 B)) (not (tptp.v1_lattice3 B)) (not (tptp.v2_lattice3 B)) (not (tptp.l1_orders_2 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)) (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_137 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (_let_136))) (let ((_let_139 ((not (= (tptp.v1_funct_2 C (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) false))))) (let ((_let_140 (= _let_42 _let_129))) (let ((_let_141 ((tptp.m2_relset_1 C A B)))) (let ((_let_142 (tptp.v17_waybel_0 skv_4 skv_6 skv_3))) (let ((_let_143 (not _let_142))) (let ((_let_144 (tptp.v17_waybel_0 skv_5 skv_2 skv_6))) (let ((_let_145 (not _let_144))) (let ((_let_146 (tptp.v3_lattice3 skv_6))) (let ((_let_147 (not _let_146))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_10)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((A $$unsorted) (BOUND_VARIABLE_2392 $$unsorted) (BOUND_VARIABLE_2390 $$unsorted) (BOUND_VARIABLE_2388 $$unsorted) (BOUND_VARIABLE_2386 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_2386))) (let ((_let_3 (tptp.u1_struct_0 BOUND_VARIABLE_2392))) (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_2386)) (not (tptp.v3_orders_2 BOUND_VARIABLE_2386)) (not (tptp.v4_orders_2 BOUND_VARIABLE_2386)) (not (tptp.v1_lattice3 BOUND_VARIABLE_2386)) (not (tptp.v2_lattice3 BOUND_VARIABLE_2386)) (not (tptp.v3_lattice3 BOUND_VARIABLE_2386)) (not (tptp.l1_orders_2 BOUND_VARIABLE_2386)) (not (tptp.v2_orders_2 BOUND_VARIABLE_2392)) (not (tptp.v3_orders_2 BOUND_VARIABLE_2392)) (not (tptp.v4_orders_2 BOUND_VARIABLE_2392)) (not (tptp.v1_lattice3 BOUND_VARIABLE_2392)) (not (tptp.v2_lattice3 BOUND_VARIABLE_2392)) (not (tptp.v3_lattice3 BOUND_VARIABLE_2392)) (not (tptp.l1_orders_2 BOUND_VARIABLE_2392)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2388)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2388 _let_1 _let_2)) (not (tptp.v17_waybel_0 BOUND_VARIABLE_2388 A BOUND_VARIABLE_2386)) (not (tptp.m2_relset_1 BOUND_VARIABLE_2388 _let_1 _let_2)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2390)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2390 _let_2 _let_3)) (not (tptp.v17_waybel_0 BOUND_VARIABLE_2390 BOUND_VARIABLE_2386 BOUND_VARIABLE_2392)) (not (tptp.m2_relset_1 BOUND_VARIABLE_2390 _let_2 _let_3)) (= (tptp.k1_waybel34 A BOUND_VARIABLE_2392 (tptp.k7_funct_2 _let_1 _let_2 _let_3 BOUND_VARIABLE_2388 BOUND_VARIABLE_2390)) (tptp.k7_funct_2 _let_3 _let_2 _let_1 (tptp.k1_waybel34 BOUND_VARIABLE_2386 BOUND_VARIABLE_2392 BOUND_VARIABLE_2390) (tptp.k1_waybel34 A BOUND_VARIABLE_2386 BOUND_VARIABLE_2388))))))))) (not (or _let_73 _let_71 _let_69 _let_106 _let_104 _let_102 _let_67 _let_64 _let_62 _let_60 _let_134 _let_132 _let_147 _let_58 _let_55 _let_53 _let_51 _let_100 _let_98 _let_96 _let_49 _let_47 _let_45 _let_145 _let_43 _let_41 _let_39 _let_143 _let_37 _let_78))))))))) (let ((_let_149 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (24))))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_140)) :args ((or _let_43 _let_129 (not _let_140)))) _let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (_let_14 _let_15 skv_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_126)) _let_127 :args (_let_140 false _let_3)) :args (_let_129 false _let_42 false _let_140)))) (let ((_let_151 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (22))))) (let ((_let_152 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (21))))) (let ((_let_153 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (13))))) (let ((_let_154 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (11))))) (let ((_let_155 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (10))))) (let ((_let_156 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (9))))) (let ((_let_157 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (8))))) (let ((_let_158 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (7))))) (let ((_let_159 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (6))))) (let ((_let_160 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (4))))) (let ((_let_161 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (3))))) (let ((_let_162 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (2))))) (let ((_let_163 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (1))))) (let ((_let_164 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (0))))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_73 _let_71 _let_69 _let_106 _let_104 _let_67 _let_64 _let_62 _let_60 _let_134 _let_132 _let_58 _let_47 _let_45 _let_130 _let_128 (not _let_135)))) _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (skv_2 skv_6 skv_5 QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_138)) _let_137 :args (_let_135 false _let_136)) :args (_let_128 false _let_72 false _let_70 false _let_68 false _let_105 false _let_103 false _let_66 false _let_63 false _let_61 false _let_59 false _let_133 false _let_131 false _let_57 false _let_46 false _let_44 false _let_129 false _let_135)))) (let ((_let_166 (not _let_128))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_128 2)) :args ((or _let_30 _let_166))) _let_165 :args (_let_30 false _let_128)))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_128 1)) :args ((or _let_32 _let_166))) _let_165 :args (_let_32 false _let_128)))) (let ((_let_169 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_128 0)) :args ((or _let_34 _let_166))) _let_165 :args (_let_34 false _let_128)))) (let ((_let_170 (= _let_22 _let_117))) (let ((_let_171 (and _let_26 _let_24 _let_22))) (let ((_let_172 (tptp.m1_relset_1 skv_4 _let_15 _let_16))) (let ((_let_173 (not _let_172))) (let ((_let_174 (or _let_64 _let_62 _let_60 _let_134 _let_132 _let_58 _let_55 _let_53 _let_51 _let_100 _let_98 _let_49 _let_41 _let_39 _let_173 _let_171))) (let ((_let_175 (= _let_36 _let_172))) (let ((_let_176 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (28))))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_175)) :args ((or _let_37 _let_172 (not _let_175)))) _let_176 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (_let_15 _let_16 skv_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_126)) _let_127 :args (_let_175 false _let_3)) :args (_let_172 false _let_36 false _let_175)))) (let ((_let_178 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (26))))) (let ((_let_179 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (25))))) (let ((_let_180 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (20))))) (let ((_let_181 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (18))))) (let ((_let_182 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (17))))) (let ((_let_183 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (16))))) (let ((_let_184 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (15))))) (let ((_let_185 (NOT_NOT_ELIM (NOT_OR_ELIM _let_148 :args (14))))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_174)) :args ((or _let_64 _let_62 _let_60 _let_134 _let_132 _let_58 _let_55 _let_53 _let_51 _let_100 _let_98 _let_49 _let_41 _let_39 _let_173 _let_171 (not _let_174)))) _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (skv_6 skv_3 skv_4 QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_138)) _let_137 :args (_let_174 false _let_136)) :args (_let_171 false _let_63 false _let_61 false _let_59 false _let_133 false _let_131 false _let_57 false _let_54 false _let_52 false _let_50 false _let_99 false _let_97 false _let_48 false _let_40 false _let_38 false _let_172 false _let_174)))) (let ((_let_187 (not _let_171))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_171 2)) :args ((or _let_22 _let_187))) _let_186 :args (_let_22 false _let_171)))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_171 1)) :args ((or _let_24 _let_187))) _let_186 :args (_let_24 false _let_171)))) (let ((_let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_171 0)) :args ((or _let_26 _let_187))) _let_186 :args (_let_26 false _let_171)))) (let ((_let_191 (not _let_119))) (let ((_let_192 (tptp.l1_struct_0 skv_6))) (let ((_let_193 (not _let_192))) (let ((_let_194 (or _let_65 _let_193 _let_191))) (let ((_let_195 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_196 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_197 (or _let_58 _let_192))) (let ((_let_198 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (tptp.l1_struct_0 A))))) (let ((_let_199 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_200 (not _let_65))) (let ((_let_201 (or _let_58 _let_134 _let_200))) (let ((_let_202 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.v3_struct_0 A)))))) (let ((_let_203 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_204 (_let_202))) (let ((_let_205 ((not (= (tptp.l1_orders_2 A) false))))) (let ((_let_206 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_201)) :args ((or _let_134 _let_58 _let_200 (not _let_201)))) _let_155 _let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (skv_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_205)) :args _let_204)) _let_203 :args (_let_201 false _let_202)) :args (_let_200 false _let_133 false _let_57 false _let_201)))) (let ((_let_207 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_194)) :args ((or _let_65 _let_193 _let_191 (not _let_194)))) _let_206 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_197)) :args ((or _let_58 _let_192 (not _let_197)))) _let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (skv_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_orders_2 A) false))))) :args (_let_198))) _let_199 :args (_let_197 false _let_198)) :args (_let_192 false _let_57 false _let_197)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (skv_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.u1_struct_0 A)))) :args (_let_195))) _let_196 :args (_let_194 false _let_195)) :args (_let_191 true _let_65 false _let_192 false _let_194)))) (let ((_let_208 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_119 _let_27 _let_25 _let_118 _let_35 _let_33 _let_116 _let_114 (not _let_120)))) _let_207 _let_190 _let_189 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_170)) :args ((or _let_117 _let_23 (not _let_170)))) _let_188 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (_let_16 _let_15 _let_13 QUANTIFIERS_INST_CBQI_CONFLICT)) :args 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(MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_217 (not _let_56))) (let ((_let_218 (or _let_49 _let_100 _let_217))) (let ((_let_219 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_218)) :args ((or _let_100 _let_49 _let_217 (not _let_218)))) _let_182 _let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (skv_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_205)) :args _let_204)) _let_203 :args (_let_218 false _let_202)) :args (_let_217 false _let_99 false _let_48 false _let_218)))) (let ((_let_220 (not _let_74))) (let ((_let_221 (or _let_67 _let_106 _let_220))) (let ((_let_222 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_221)) :args ((or _let_106 _let_67 _let_220 (not _let_221)))) _let_161 _let_159 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (skv_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_205)) :args _let_204)) _let_203 :args (_let_221 false _let_202)) :args (_let_220 false _let_105 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((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.v1_xcmplx_0 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_lattice3 A)) (and _let_2 _let_1 (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$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)) (=> (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_9 (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 $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$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 $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v3_lattice3 A)) (and _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A)))))) (forall ((A $$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) (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)) (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 $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) (forall ((A $$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 $$unsorted) (B $$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)) (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 $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) _let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) true _let_7 (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 (tptp.l1_orders_2 A) (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) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m1_relset_1 D _let_2 _let_1)) (tptp.m1_waybel_1 (tptp.k1_waybel_1 A B C D) A B))))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k5_relat_1 A B)))) _let_6 _let_5 true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) true (exists ((A $$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)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (tptp.m1_waybel_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_int_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xcmplx_0 A) (tptp.v1_xcmplx_0 B)) (tptp.v1_membered (tptp.k2_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _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_tarski A B))) (=> (and (tptp.v1_rat_1 A) (tptp.v1_rat_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v4_ordinal2 A) (tptp.v4_ordinal2 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) _let_4 (forall ((A $$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)) (let ((_let_1 (tptp.k2_tarski A B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (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) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) (forall ((A $$unsorted)) (=> (tptp.v1_xcmplx_0 A) (tptp.v1_membered (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_rat_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (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))) (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))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A))) (forall ((A $$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 $$unsorted) (B $$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.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)) (exists ((C $$unsorted)) (and (tptp.m1_waybel_1 C A B) (tptp.v3_waybel_1 C A B))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A))) (forall ((A $$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) (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 $$unsorted) (B $$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) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m1_relset_1 D _let_2 _let_1)) (= (tptp.k1_waybel_1 A B C D) (tptp.k4_tarski C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m1_relset_1 E B C)) (= (tptp.k7_funct_2 A B C D E) (tptp.k5_relat_1 D E)))) _let_3 (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_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 68.50/68.75  )
% 68.50/68.75  % SZS output end Proof for LAT357+1
% 68.50/68.75  % cvc5---1.0.5 exiting
% 68.50/68.75  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------