%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : TOP046+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 : Fri Sep  1 05:54:50 EDT 2023

% Result   : Theorem 27.57s 27.84s
% Output   : Proof 27.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : TOP046+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n002.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat Aug 26 23:37:03 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 27.57/27.84  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.rfFtZQWMrl/cvc5---1.0.5_6512.p...
% 27.57/27.84  ------- get file name : TPTP file name is TOP046+1
% 27.57/27.84  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6512.smt2...
% 27.57/27.84  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 27.57/27.84  --- Run --no-e-matching --full-saturate-quant at 5...
% 27.57/27.84  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 27.57/27.84  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 27.57/27.84  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.57/27.84  % SZS status Theorem for TOP046+1
% 27.57/27.84  % SZS output start Proof for TOP046+1
% 27.57/27.84  (
% 27.57/27.84  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (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 (= C E) (= D F)) (and (=> (tptp.r1_orders_2 A C D) (tptp.r1_orders_2 B E F)) (=> (tptp.r2_orders_2 A C D) (tptp.r2_orders_2 B E F))))))))))))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2) (tptp.m1_subset_1 D _let_1)) (= (tptp.k1_waybel_0 A B C D) (tptp.k1_funct_1 C D)))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_relset_1 B A A) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_orders_2 A B) (tptp.g1_orders_2 C D)) (and (= A C) (= B D)))))))) (let ((_let_8 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_9 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_waybel_0 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_waybel_0 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_11 (forall ((A $$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)))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (tptp.l1_orders_2 B))))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))))) (let ((_let_14 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_waybel_0 A B C) (tptp.k1_waybel_0 B A (tptp.u1_waybel_0 A B) C)))))))))) (let ((_let_15 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (= (tptp.r1_waybel_0 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r1_orders_2 B D E) (tptp.r2_hidden (tptp.k3_waybel_0 A B E) C)))))))))))))) (let ((_let_16 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.l1_waybel_0 D B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C)) (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D))) (= (tptp.u1_waybel_0 A C) (tptp.u1_waybel_0 B D))) (forall ((E $$unsorted)) (=> (tptp.r1_waybel_0 A C E) (tptp.r1_waybel_0 B D E))))))))))))))) (let ((_let_17 (tptp.u1_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_18 (tptp.u1_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (tptp.k1_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76))) (let ((_let_21 (tptp.k3_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76))) (let ((_let_22 (= _let_21 _let_20))) (let ((_let_23 (tptp.k1_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76))) (let ((_let_24 (tptp.k3_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76))) (let ((_let_25 (= _let_24 _let_23))) (let ((_let_26 (= _let_20 (tptp.k1_funct_1 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76)))) (let ((_let_27 (tptp.m1_subset_1 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_28 (tptp.m1_subset_1 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_29 (= _let_23 (tptp.k1_funct_1 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76)))) (let ((_let_30 (tptp.r1_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_31 (tptp.r1_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_32 (not _let_31))) (let ((_let_33 (not _let_19))) (let ((_let_34 (tptp.u1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_35 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_36 (tptp.u1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_37 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_38 (= (tptp.g1_orders_2 _let_37 _let_36) (tptp.g1_orders_2 _let_35 _let_34)))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.l1_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_43 (tptp.l1_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_46 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_49 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (or _let_51 _let_50 _let_48 _let_47 _let_45 _let_44 _let_42 _let_41 _let_39 _let_33 _let_32 _let_30))) (let ((_let_53 (forall ((A $$unsorted) (BOUND_VARIABLE_1496 $$unsorted) (BOUND_VARIABLE_1494 $$unsorted) (BOUND_VARIABLE_1492 $$unsorted) (BOUND_VARIABLE_1490 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (tptp.v3_struct_0 BOUND_VARIABLE_1490) (not (tptp.l1_struct_0 BOUND_VARIABLE_1490)) (tptp.v3_struct_0 BOUND_VARIABLE_1496) (not (tptp.l1_waybel_0 BOUND_VARIABLE_1496 A)) (tptp.v3_struct_0 BOUND_VARIABLE_1492) (not (tptp.l1_waybel_0 BOUND_VARIABLE_1492 BOUND_VARIABLE_1490)) (not (= (tptp.g1_orders_2 (tptp.u1_struct_0 BOUND_VARIABLE_1496) (tptp.u1_orders_2 BOUND_VARIABLE_1496)) (tptp.g1_orders_2 (tptp.u1_struct_0 BOUND_VARIABLE_1492) (tptp.u1_orders_2 BOUND_VARIABLE_1492)))) (not (= (tptp.u1_waybel_0 A BOUND_VARIABLE_1496) (tptp.u1_waybel_0 BOUND_VARIABLE_1490 BOUND_VARIABLE_1492))) (not (tptp.r1_waybel_0 A BOUND_VARIABLE_1496 BOUND_VARIABLE_1494)) (tptp.r1_waybel_0 BOUND_VARIABLE_1490 BOUND_VARIABLE_1492 BOUND_VARIABLE_1494))))) (let ((_let_54 (not _let_52))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (or))) (let ((_let_57 (not _let_53))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_55) :args (_let_57))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_53))) (REFL :args (_let_54)) :args _let_56)) _let_55 :args (_let_54 true _let_53)))) (let ((_let_59 (REFL :args (_let_52)))) (let ((_let_60 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 _let_35))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_48 _let_47 _let_42 _let_41 _let_61 _let_22))) (let ((_let_63 (forall ((A $$unsorted) (BOUND_VARIABLE_1692 $$unsorted) (BOUND_VARIABLE_1690 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (tptp.v3_struct_0 BOUND_VARIABLE_1690) (not (tptp.l1_waybel_0 BOUND_VARIABLE_1690 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1692 (tptp.u1_struct_0 BOUND_VARIABLE_1690))) (= (tptp.k3_waybel_0 A BOUND_VARIABLE_1690 BOUND_VARIABLE_1692) (tptp.k1_waybel_0 BOUND_VARIABLE_1690 A (tptp.u1_waybel_0 A BOUND_VARIABLE_1690) BOUND_VARIABLE_1692)))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (_let_63))) (let ((_let_66 ((tptp.k3_waybel_0 A BOUND_VARIABLE_1690 BOUND_VARIABLE_1692)))) (let ((_let_67 (tptp.r2_hidden _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_68 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_61 _let_69 _let_67))) (let ((_let_71 (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 E)) (tptp.r2_hidden (tptp.k3_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_72 (not _let_70))) (let ((_let_73 (not _let_71))) (let ((_let_74 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 _let_35))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_73))) (let ((_let_77 (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (not (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D E)) (tptp.r2_hidden (tptp.k3_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))))) (let ((_let_78 (not _let_77))) (let ((_let_79 (= _let_30 _let_78))) (let ((_let_80 (or _let_48 _let_47 _let_42 _let_41 _let_79))) (let ((_let_81 (forall ((A $$unsorted) (BOUND_VARIABLE_1631 $$unsorted) (BOUND_VARIABLE_1629 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (tptp.v3_struct_0 BOUND_VARIABLE_1629) (not (tptp.l1_waybel_0 BOUND_VARIABLE_1629 A)) (= (tptp.r1_waybel_0 A BOUND_VARIABLE_1629 BOUND_VARIABLE_1631) (not (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 BOUND_VARIABLE_1629))) (not (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 BOUND_VARIABLE_1629))) (not (tptp.r1_orders_2 BOUND_VARIABLE_1629 D E)) (tptp.r2_hidden (tptp.k3_waybel_0 A BOUND_VARIABLE_1629 E) BOUND_VARIABLE_1631)))))))))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 ((tptp.r1_waybel_0 A BOUND_VARIABLE_1629 BOUND_VARIABLE_1631)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 7)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_56)) :args ((or _let_40 _let_52))) _let_58 :args (_let_40 true _let_52)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_52 6)) _let_58 :args ((not _let_42) true _let_52)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 3)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_56)) :args ((or _let_46 _let_52))) _let_58 :args (_let_46 true _let_52)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_52 2)) _let_58 :args ((not _let_48) true _let_52)))) (let ((_let_89 (not _let_79))) (let ((_let_90 (_let_77))) (let ((_let_91 (= _let_37 _let_35))) (let ((_let_92 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 _let_37))) (let ((_let_93 (and _let_91 (= _let_36 _let_34)))) (let ((_let_94 (tptp.m1_relset_1 _let_36 _let_37 _let_37))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_39 _let_93))) (let ((_let_97 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1850 $$unsorted) (BOUND_VARIABLE_1848 $$unsorted)) (or (not (tptp.m1_relset_1 B A A)) (not (= (tptp.g1_orders_2 A B) (tptp.g1_orders_2 BOUND_VARIABLE_1848 BOUND_VARIABLE_1850))) (and (= A BOUND_VARIABLE_1848) (= B BOUND_VARIABLE_1850)))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (tptp.m2_relset_1 _let_36 _let_37 _let_37))) (let ((_let_100 (= _let_94 _let_99))) (let ((_let_101 (_let_5))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_104 _let_99))) (let ((_let_106 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.l1_orders_2 A)) (tptp.m2_relset_1 (tptp.u1_orders_2 A) _let_1 _let_1)))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (or _let_50 _let_44 _let_103))) (let ((_let_109 (forall ((A $$unsorted) (BOUND_VARIABLE_1756 $$unsorted)) (or (not (tptp.l1_struct_0 A)) (not 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(SCOPE (INSTANTIATE _let_110 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_108 false _let_109)) :args (_let_103 false _let_49 false _let_43 false _let_108)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 8)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_56)) :args ((or _let_38 _let_52))) _let_58 :args (_let_38 true _let_52)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_93 0)) :args ((or _let_91 (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_39 _let_95 _let_93 (not _let_96)))) _let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_100)) :args ((or _let_94 (not _let_99) (not _let_100)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_104 _let_99 (not _let_105)))) _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.u1_orders_2 A)))) :args (_let_106))) _let_107 :args (_let_105 false _let_106)) :args (_let_99 false _let_103 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_37 _let_37 _let_36 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_101))) _let_102 :args (_let_100 false _let_5)) :args (_let_94 false _let_99 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_37 _let_36 _let_34 _let_35 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_97))) _let_98 :args (_let_96 false _let_97)) :args (_let_93 false _let_38 false _let_94 false _let_96)) :args (_let_91 false _let_93)))) (let ((_let_118 (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 E)) (tptp.r2_hidden (tptp.k3_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_119 (not _let_118))) (let ((_let_120 (not _let_92))) (let ((_let_121 (or _let_120 _let_119))) (let ((_let_122 (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (not (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 D E)) (tptp.r2_hidden (tptp.k3_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))))) (let ((_let_123 (not _let_121))) (let ((_let_124 (not _let_122))) (let ((_let_125 (= _let_31 _let_124))) (let ((_let_126 (or _let_51 _let_50 _let_45 _let_44 _let_125))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_52 4)) _let_58 :args ((not _let_45) true _let_52)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_52 0)) _let_58 :args ((not _let_51) true _let_52)))) (let ((_let_129 (_let_124))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_129)) :args _let_129)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_124) _let_122))) (REFL :args (_let_123)) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_125)) :args ((or _let_32 _let_124 (not _let_125)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 10)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_56)) :args ((or _let_31 _let_52))) _let_58 :args (_let_31 true _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_51 _let_50 _let_45 _let_44 _let_125 (not _let_126)))) _let_128 _let_114 _let_127 _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_126 false _let_81)) :args (_let_125 true _let_51 false _let_49 true _let_45 false _let_43 false _let_126)) :args (_let_124 false _let_31 false _let_125)) :args (_let_123 true _let_122)))) (let ((_let_131 (REFL :args (_let_121)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_121 0)) (CONG _let_131 (MACRO_SR_PRED_INTRO :args ((= (not _let_120) _let_92))) :args _let_56)) :args ((or _let_92 _let_121))) _let_130 :args (_let_92 true _let_121)))) (let ((_let_133 (and _let_92 _let_91))) (let ((_let_134 (_let_92 _let_91))) (let ((_let_135 (ASSUME :args (_let_92)))) (let ((_let_136 (APPLY_UF tptp.m1_subset_1))) (let ((_let_137 (ASSUME :args (_let_91)))) (let ((_let_138 (SYMM (SYMM _let_137)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_133)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_135 _let_137) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)) (SYMM _let_138) :args _let_136) (TRUE_INTRO _let_135))) :args _let_134)) :args _let_134)) :args (true _let_133)) _let_132 _let_117 :args (_let_74 false _let_92 false _let_91)))) (let ((_let_140 (_let_73))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_140)) :args _let_140)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_71))) (REFL :args (_let_72)) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_73 (not _let_76)))) _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_90) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 D _let_35) false))))) :args _let_90)) 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(_let_72 true _let_71)))) (let ((_let_142 (REFL :args (_let_70)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 0)) (CONG _let_142 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_56)) :args ((or _let_60 _let_70))) _let_141 :args (_let_60 true _let_70)))) (let ((_let_144 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 _let_37))) (let ((_let_145 (not _let_144))) (let ((_let_146 (or _let_51 _let_50 _let_45 _let_44 _let_145 _let_25))) (let ((_let_147 (and _let_91 _let_60))) (let ((_let_148 (ASSUME :args (_let_60)))) (let ((_let_149 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76)))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_147)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_148 _let_137) (SCOPE (TRUE_ELIM (TRANS (CONG _let_149 _let_138 :args _let_136) (TRUE_INTRO _let_148))) :args (_let_60 _let_91))) :args (_let_91 _let_60))) :args (true _let_147)) _let_117 _let_143 :args (_let_144 false _let_91 false _let_60)))) (let ((_let_151 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_152 (tptp.m1_relset_1 _let_17 _let_35 _let_151))) (let ((_let_153 (not _let_152))) (let ((_let_154 (tptp.v1_funct_2 _let_17 _let_35 _let_151))) (let ((_let_155 (not _let_154))) (let ((_let_156 (tptp.v1_funct_1 _let_17))) (let ((_let_157 (not _let_156))) (let ((_let_158 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_159 (not _let_158))) (let ((_let_160 (or _let_42 _let_159 _let_48 _let_47 _let_157 _let_155 _let_153 _let_61 _let_26))) (let ((_let_161 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (tptp.v3_struct_0 B) (not (tptp.l1_struct_0 B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_1 _let_2)) (not (tptp.m1_relset_1 C _let_1 _let_2)) (not (tptp.m1_subset_1 D _let_1)) (= 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(tptp.k1_waybel_0 A B C D) _let_1))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (tptp.m1_subset_1 (tptp.k3_waybel_0 A B C) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k7_yellow_2 A B C D) _let_1)))) _let_13 true _let_12 true true (forall ((A $$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))))) _let_11 true _let_10 (exists ((A $$unsorted)) (tptp.l1_orders_2 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (tptp.l1_waybel_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (and _let_9 _let_8 (tptp.v3_relat_1 tptp.k1_xboole_0)) (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.u1_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (and _let_9 _let_8) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (not (tptp.r2_orders_2 A B B))))) (exists ((A $$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.v1_xboole_0 A) (tptp.v1_relat_1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (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.v1_relat_1 A) (tptp.v3_relat_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) _let_6 (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_5 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _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 $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$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 $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 27.66/27.85  )
% 27.66/27.85  % SZS output end Proof for TOP046+1
% 27.66/27.85  % cvc5---1.0.5 exiting
% 27.66/27.85  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------