TSTP Solution File: SEU414+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU414+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 16:31:31 EDT 2023
% Result : Theorem 25.54s 26.24s
% Output : Proof 25.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU414+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 13:04:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 25.54/26.24 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.rpzfpUHclN/cvc5---1.0.5_7147.p...
% 25.54/26.24 ------- get file name : TPTP file name is SEU414+1
% 25.54/26.24 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7147.smt2...
% 25.54/26.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.54/26.24 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.54/26.24 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.54/26.24 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.54/26.24 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.54/26.24 % SZS status Theorem for SEU414+1
% 25.54/26.24 % SZS output start Proof for SEU414+1
% 25.54/26.24 (
% 25.54/26.24 (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.r2_hidden _let_1 (tptp.u1_orders_2 (tptp.k1_latsum_1 A B))) (tptp.r2_hidden C _let_2) (tptp.r2_hidden D _let_2) (tptp.r1_latsum_1 A B) (tptp.v3_orders_2 B)) (tptp.r2_hidden _let_1 (tptp.u1_orders_2 B)))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_hidden _let_1 (tptp.u1_orders_2 (tptp.k1_latsum_1 A B))) (tptp.r2_hidden C _let_2) (tptp.r2_hidden D _let_2) (tptp.r1_latsum_1 A B) (tptp.v3_orders_2 A)) (tptp.r2_hidden _let_1 (tptp.u1_orders_2 A)))))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (=> (and (tptp.v12_waybel_0 _let_3 B) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2)) (tptp.r2_hidden (tptp.k4_tarski C D) (tptp.u1_orders_2 (tptp.k1_latsum_1 A B))) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden C _let_1)))))))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_xboole_0 _let_2 _let_1))) (=> (and (tptp.v13_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2)) (tptp.r2_hidden (tptp.k4_tarski C D) (tptp.u1_orders_2 (tptp.k1_latsum_1 A B))) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden D _let_1)))))))))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (tptp.m2_relset_1 (tptp.u1_orders_2 A) _let_1 _let_1)))))) (let ((_let_6 (forall ((A $$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 ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v4_orders_2 A) (tptp.r4_relat_2 (tptp.u1_orders_2 A) (tptp.u1_struct_0 A))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r4_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (tptp.r2_hidden (tptp.k4_tarski C D) A) (tptp.r2_hidden (tptp.k4_tarski D C) A)) (= C D))))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_orders_2 B))) (let ((_let_2 (tptp.u1_orders_2 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_orders_2 C) (tptp.l1_orders_2 C)) (= (= C (tptp.k1_latsum_1 A B)) (and (= (tptp.u1_struct_0 C) (tptp.k2_xboole_0 _let_4 _let_3)) (= (tptp.u1_orders_2 C) (tptp.k2_xboole_0 (tptp.k2_xboole_0 _let_2 _let_1) (tptp.k7_relset_1 _let_4 _let_4 _let_3 _let_3 _let_2 _let_1))))))))))))))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))))) (let ((_let_13 (not (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_xboole_0 _let_2 _let_1))) (=> (tptp.l1_orders_2 B) (=> (and (tptp.r1_latsum_1 A B) (tptp.v13_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2)) (tptp.v12_waybel_0 _let_3 B) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_1)) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B)) (tptp.v4_orders_2 (tptp.k1_latsum_1 A B))))))))))))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_15 (tptp.u1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.k4_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_17 (tptp.r2_hidden _let_16 _let_15))) (let ((_let_18 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_18))) (let ((_let_20 (not _let_17))) (let ((_let_21 (tptp.k4_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_22 (tptp.r2_hidden _let_21 _let_15))) (let ((_let_23 (not _let_22))) (let ((_let_24 (not _let_19))) (let ((_let_25 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_18))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_23 _let_20 _let_14))) (let ((_let_28 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (tptp.u1_orders_2 _let_28))) (let ((_let_30 (tptp.r2_hidden _let_16 _let_29))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.r2_hidden _let_21 _let_29))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.u1_struct_0 _let_28))) (let ((_let_35 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_34))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or (not (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_34)) _let_36 _let_33 _let_31 _let_14))) (let ((_let_38 (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_2 (tptp.u1_orders_2 _let_1))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (or (not (tptp.r2_hidden C _let_3)) (not (tptp.r2_hidden D _let_3)) (not (tptp.r2_hidden (tptp.k4_tarski C D) _let_2)) (not (tptp.r2_hidden (tptp.k4_tarski D C) _let_2)) (= C D)))))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (tptp.r4_relat_2 _let_29 _let_34))) (let ((_let_41 (= _let_40 _let_38))) (let ((_let_42 (not _let_38))) (let ((_let_43 (tptp.v1_relat_1 _let_29))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_41))) (let ((_let_46 (forall ((A $$unsorted) (BOUND_VARIABLE_1312 $$unsorted)) (or (not (tptp.v1_relat_1 A)) (= (tptp.r4_relat_2 A BOUND_VARIABLE_1312) (forall ((C $$unsorted) (D $$unsorted)) (or (not (tptp.r2_hidden C BOUND_VARIABLE_1312)) (not (tptp.r2_hidden D BOUND_VARIABLE_1312)) (not (tptp.r2_hidden (tptp.k4_tarski C D) A)) (not (tptp.r2_hidden (tptp.k4_tarski D C) A)) (= C D)))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_46))) (let ((_let_49 ((tptp.r4_relat_2 A BOUND_VARIABLE_1312)))) (let ((_let_50 (tptp.m1_subset_1 _let_29 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 _let_34 _let_34))))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_43))) (let ((_let_53 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (tptp.v1_relat_1 C))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 (tptp.m2_relset_1 _let_29 _let_34 _let_34))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_50))) (let ((_let_59 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m2_relset_1 C A B)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 ((not (= (tptp.m2_relset_1 C A B) false))))) (let ((_let_63 (tptp.l1_orders_2 _let_28))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_56))) (let ((_let_66 (forall ((A $$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_67 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 ((not (= (tptp.l1_orders_2 A) false))))) (let ((_let_70 (tptp.v1_orders_2 _let_28))) (let ((_let_71 (and _let_70 _let_63))) (let ((_let_72 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_73 _let_71))) (let ((_let_77 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (tptp.v4_orders_2 _let_28))) (let ((_let_80 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_85 (tptp.k3_xboole_0 _let_18 _let_84))) (let ((_let_86 (tptp.m1_subset_1 _let_85 (tptp.k1_zfmisc_1 _let_84)))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.v12_waybel_0 _let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.m1_subset_1 _let_85 (tptp.k1_zfmisc_1 _let_18)))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.v13_waybel_0 _let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.r1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_75 _let_99 _let_97 _let_73 _let_95 _let_93 _let_91 _let_89 _let_87 _let_83 _let_81 _let_79))) (let ((_let_101 (forall ((A $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_1176))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_xboole_0 _let_2 _let_1))) (or (not (tptp.l1_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1176)) (not (tptp.r1_latsum_1 A BOUND_VARIABLE_1176)) (not (tptp.v13_waybel_0 _let_3 A)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2))) (not (tptp.v12_waybel_0 _let_3 BOUND_VARIABLE_1176)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_1))) (not (tptp.v3_orders_2 BOUND_VARIABLE_1176)) (not (tptp.v4_orders_2 BOUND_VARIABLE_1176)) (tptp.v4_orders_2 (tptp.k1_latsum_1 A BOUND_VARIABLE_1176))))))))) (let ((_let_102 (not _let_100))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (or))) (let ((_let_105 (not _let_101))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_103) :args (_let_105))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_105) _let_101))) (REFL :args (_let_102)) :args _let_104)) _let_103 :args (_let_102 true _let_101)))) (let ((_let_107 (REFL :args (_let_100)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 3)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_104)) :args ((or _let_72 _let_100))) _let_106 :args (_let_72 true _let_100)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 0)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_104)) :args ((or _let_74 _let_100))) _let_106 :args (_let_74 true _let_100)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_73 _let_71 (not _let_76)))) _let_109 _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_latsum_1 A B)))) :args (_let_77))) _let_78 :args (_let_76 false _let_77)) :args (_let_71 false _let_74 false _let_72 false _let_76)))) (let ((_let_111 (not _let_71))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 1)) :args ((or _let_63 _let_111))) _let_110 :args (_let_63 false _let_71)))) (let ((_let_113 (= _let_79 _let_40))) (let ((_let_114 (not _let_40))) (let ((_let_115 (or _let_64 _let_113))) (let ((_let_116 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (= (tptp.v4_orders_2 A) (tptp.r4_relat_2 (tptp.u1_orders_2 A) (tptp.u1_struct_0 A))))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 (_let_42))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_119)) :args _let_119)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_38))) (REFL :args (_let_39)) :args _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_41)) :args ((or _let_40 _let_42 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_113)) :args ((or _let_79 _let_114 (not _let_113)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_100 11)) _let_106 :args ((not _let_79) true _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_64 _let_113 (not _let_115)))) _let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v4_orders_2 A)))) :args _let_118)) _let_117 :args (_let_115 false _let_116)) :args (_let_113 false _let_63 false _let_115)) :args (_let_114 true _let_79 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_41 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_43 _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_50 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_56 (not _let_65)))) _let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_65 false _let_66)) :args (_let_56 false _let_63 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_34 _let_34 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_58 false _let_59)) :args (_let_50 false _let_56 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_34 _let_34 _let_29 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55)) _let_54 :args (_let_52 false _let_53)) :args (_let_43 false _let_50 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_29 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_47 :args (_let_45 false _let_46)) :args (_let_41 false _let_43 false _let_45)) :args (_let_42 true _let_40 false _let_41)) :args (_let_39 true _let_38)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_37 4)) _let_120 :args ((not _let_14) true _let_37)))) (let ((_let_122 (or _let_75 _let_99 _let_73 _let_95 _let_31 _let_24 _let_26 _let_17))) (let ((_let_123 (forall ((A $$unsorted) (BOUND_VARIABLE_1658 $$unsorted) (BOUND_VARIABLE_1656 $$unsorted) (BOUND_VARIABLE_1654 $$unsorted)) (let ((_let_1 (tptp.k4_tarski BOUND_VARIABLE_1658 BOUND_VARIABLE_1656))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.l1_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1654)) (not (tptp.r1_latsum_1 A BOUND_VARIABLE_1654)) (not (tptp.r2_hidden _let_1 (tptp.u1_orders_2 (tptp.k1_latsum_1 A BOUND_VARIABLE_1654)))) (not (tptp.r2_hidden BOUND_VARIABLE_1658 _let_2)) (not (tptp.r2_hidden BOUND_VARIABLE_1656 _let_2)) (tptp.r2_hidden _let_1 (tptp.u1_orders_2 A)))))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_123))) (let ((_let_126 ((not (= (tptp.r2_hidden (tptp.k4_tarski BOUND_VARIABLE_1658 BOUND_VARIABLE_1656) (tptp.u1_orders_2 (tptp.k1_latsum_1 A BOUND_VARIABLE_1654))) false))))) (let ((_let_127 (or _let_75 _let_73 _let_89 _let_87 _let_33 _let_24 _let_25))) (let ((_let_128 (forall ((A $$unsorted) (BOUND_VARIABLE_1577 $$unsorted) (BOUND_VARIABLE_1575 $$unsorted) (BOUND_VARIABLE_1573 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_1573))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1573)) (not (tptp.v12_waybel_0 _let_3 BOUND_VARIABLE_1573)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2))) (not (tptp.r2_hidden (tptp.k4_tarski BOUND_VARIABLE_1577 BOUND_VARIABLE_1575) (tptp.u1_orders_2 (tptp.k1_latsum_1 A BOUND_VARIABLE_1573)))) (not (tptp.r2_hidden BOUND_VARIABLE_1575 _let_1)) (tptp.r2_hidden BOUND_VARIABLE_1577 _let_1)))))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_84))) (let ((_let_131 (or _let_19 _let_130))) (let ((_let_132 (tptp.k2_xboole_0 _let_18 _let_84))) (let ((_let_133 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_132))) (let ((_let_134 (= _let_133 _let_131))) (let ((_let_135 (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_2 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (= (tptp.r2_hidden D (tptp.k2_xboole_0 _let_2 _let_1)) (or (tptp.r2_hidden D _let_2) (tptp.r2_hidden D _let_1)))))))) (let ((_let_136 (_let_10))) (let ((_let_137 (ASSUME :args _let_136))) (let ((_let_138 (_let_135))) (let ((_let_139 (= _let_34 _let_132))) (let ((_let_140 (tptp.u1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_141 (and _let_139 (= _let_29 (tptp.k2_xboole_0 (tptp.k2_xboole_0 _let_15 _let_140) (tptp.k7_relset_1 _let_18 _let_18 _let_84 _let_84 _let_15 _let_140)))))) (let ((_let_142 (not _let_70))) (let ((_let_143 (or _let_75 _let_73 _let_142 _let_64 _let_141))) (let ((_let_144 (forall ((A $$unsorted) (BOUND_VARIABLE_1264 $$unsorted) (BOUND_VARIABLE_1262 $$unsorted)) (let ((_let_1 (tptp.u1_orders_2 BOUND_VARIABLE_1262))) (let ((_let_2 (tptp.u1_orders_2 A))) (let ((_let_3 (tptp.u1_struct_0 BOUND_VARIABLE_1262))) (let ((_let_4 (tptp.u1_struct_0 A))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1262)) (not (tptp.v1_orders_2 BOUND_VARIABLE_1264)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1264)) (= (and (= (tptp.k2_xboole_0 _let_4 _let_3) (tptp.u1_struct_0 BOUND_VARIABLE_1264)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 _let_2 _let_1) (tptp.k7_relset_1 _let_4 _let_4 _let_3 _let_3 _let_2 _let_1)) (tptp.u1_orders_2 BOUND_VARIABLE_1264))) (= BOUND_VARIABLE_1264 (tptp.k1_latsum_1 A BOUND_VARIABLE_1262))))))))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (REFL :args (_let_37)))) (let ((_let_147 (and _let_35 _let_139))) (let ((_let_148 (_let_35 _let_139))) (let ((_let_149 (ASSUME :args (_let_35)))) (let ((_let_150 (ASSUME :args (_let_139)))) (let ((_let_151 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_84))) (let ((_let_152 (not _let_130))) (let ((_let_153 (or _let_75 _let_73 _let_93 _let_91 _let_31 _let_152 _let_151))) (let ((_let_154 (tptp.r2_hidden _let_16 _let_140))) (let ((_let_155 (not _let_151))) (let ((_let_156 (or _let_75 _let_73 _let_95 _let_83 _let_31 _let_152 _let_155 _let_154))) (let ((_let_157 (tptp.r2_hidden _let_21 _let_140))) (let ((_let_158 (or _let_75 _let_73 _let_95 _let_83 _let_33 _let_155 _let_152 _let_157))) (let ((_let_159 (not _let_154))) (let ((_let_160 (not _let_157))) (let ((_let_161 (or _let_155 _let_152 _let_160 _let_159 _let_14))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 3)) (CONG _let_146 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_104)) :args ((or _let_30 _let_37))) _let_120 :args (_let_30 true _let_37)))) (let ((_let_163 (forall ((A $$unsorted) (BOUND_VARIABLE_1504 $$unsorted) (BOUND_VARIABLE_1502 $$unsorted) (BOUND_VARIABLE_1500 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_1500))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_xboole_0 _let_2 _let_1))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1500)) (not (tptp.v13_waybel_0 _let_3 A)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2))) (not (tptp.r2_hidden (tptp.k4_tarski BOUND_VARIABLE_1504 BOUND_VARIABLE_1502) (tptp.u1_orders_2 (tptp.k1_latsum_1 A BOUND_VARIABLE_1500)))) (not (tptp.r2_hidden BOUND_VARIABLE_1504 _let_1)) (tptp.r2_hidden BOUND_VARIABLE_1502 _let_1)))))))) (let ((_let_164 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 4)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_94))) :args _let_104)) :args ((or _let_94 _let_100))) _let_106 :args (_let_94 true _let_100)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 9)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_82))) :args _let_104)) :args ((or _let_82 _let_100))) _let_106 :args (_let_82 true _let_100)))) (let ((_let_167 (forall ((A $$unsorted) (BOUND_VARIABLE_1732 $$unsorted) (BOUND_VARIABLE_1730 $$unsorted) (BOUND_VARIABLE_1728 $$unsorted)) (let ((_let_1 (tptp.k4_tarski BOUND_VARIABLE_1732 BOUND_VARIABLE_1730))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_1728))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1728)) (not (tptp.r1_latsum_1 A BOUND_VARIABLE_1728)) (not (tptp.v3_orders_2 BOUND_VARIABLE_1728)) (not (tptp.r2_hidden _let_1 (tptp.u1_orders_2 (tptp.k1_latsum_1 A BOUND_VARIABLE_1728)))) (not (tptp.r2_hidden BOUND_VARIABLE_1732 _let_2)) (not (tptp.r2_hidden BOUND_VARIABLE_1730 _let_2)) (tptp.r2_hidden _let_1 (tptp.u1_orders_2 BOUND_VARIABLE_1728)))))))) (let ((_let_168 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_169 (_let_167))) (let ((_let_170 ((not (= (tptp.r2_hidden (tptp.k4_tarski BOUND_VARIABLE_1732 BOUND_VARIABLE_1730) (tptp.u1_orders_2 (tptp.k1_latsum_1 A BOUND_VARIABLE_1728))) false))))) (let ((_let_171 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 2)) (CONG _let_146 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_104)) :args ((or _let_32 _let_37))) _let_120 :args (_let_32 true _let_37)))) (let ((_let_172 (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_2 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (or (not (tptp.r2_hidden C _let_2)) (not (tptp.r2_hidden D _let_2)) (not (tptp.r2_hidden (tptp.k4_tarski C D) 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(REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_19 _let_130 (not _let_131)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_14 _let_152 _let_155 _let_160 _let_159 (not _let_161)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_188) :args _let_189) :args _let_188)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_174)) :args ((or (not _let_173) _let_172 (not _let_174)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_185)) :args ((or _let_81 _let_173 (not _let_185)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 10)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_104)) :args ((or _let_80 _let_100))) _let_106 :args (_let_80 true _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_186)) :args ((or _let_73 _let_185 (not _let_186)))) _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_187)) :args _let_118)) _let_117 :args (_let_186 false _let_116)) :args (_let_185 false _let_72 false _let_186)) :args (_let_173 false _let_80 false _let_185)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_177)) :args ((or _let_176 _let_174 (not _let_177)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_175 _let_179 (not _let_180)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_183)) :args ((or _let_182 _let_178 (not _let_183)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_184)) :args ((or _let_73 _let_181 (not _let_184)))) _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_184 false _let_66)) :args (_let_181 false _let_72 false _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_84 _let_84 _let_140 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_183 false _let_59)) :args (_let_178 false _let_181 false _let_183)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_84 _let_84 _let_140 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55)) _let_54 :args (_let_180 false _let_53)) :args (_let_175 false _let_178 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_140 _let_84 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_47 :args (_let_177 false _let_46)) :args (_let_174 false _let_175 false _let_177)) :args (_let_172 false _let_173 false _let_174)) :args (_let_161 false _let_172)) _let_121 (REORDERING (CNF_OR_POS :args (_let_158)) :args ((or _let_75 _let_73 _let_95 _let_83 _let_33 _let_152 _let_155 _let_157 (not _let_158)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_170)) :args _let_169)) _let_168 :args (_let_158 false _let_167)) _let_171 _let_166 _let_165 _let_108 _let_109 (REORDERING (CNF_OR_POS :args (_let_156)) :args ((or _let_75 _let_73 _let_95 _let_83 _let_31 _let_152 _let_155 _let_154 (not _let_156)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_170)) :args _let_169)) _let_168 :args (_let_156 false _let_167)) _let_162 _let_166 _let_165 _let_108 _let_109 (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_75 _let_73 _let_93 _let_91 _let_31 _let_152 _let_151 (not _let_153)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_163))) _let_164 :args (_let_153 false _let_163)) _let_162 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 6)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_90))) :args _let_104)) :args ((or _let_90 _let_100))) _let_106 :args (_let_90 true _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 5)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_93) _let_92))) :args _let_104)) :args ((or _let_92 _let_100))) _let_106 :args (_let_92 true _let_100)) _let_108 _let_109 :args (_let_152 false _let_161 true _let_14 false _let_157 false _let_158 false _let_32 false _let_82 false _let_94 false _let_72 false _let_74 false _let_154 false _let_156 false _let_30 false _let_82 false _let_94 false _let_72 false _let_74 false _let_151 false _let_153 false _let_30 false _let_90 false _let_92 false _let_72 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_134)) :args ((or _let_131 (not _let_133) (not _let_134)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_147)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_149 _let_150) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) (SYMM _let_150) :args (APPLY_UF tptp.r2_hidden)) (TRUE_INTRO _let_149))) :args _let_148)) :args _let_148)) :args (true _let_147)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 1)) (CONG _let_146 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_104)) :args ((or _let_35 _let_37))) _let_120 :args (_let_35 true _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_141 0)) :args ((or _let_139 (not _let_141)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_75 _let_73 _let_64 _let_142 _let_141 (not _let_143)))) _let_109 _let_108 _let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_70 _let_111))) _let_110 :args (_let_70 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.u1_struct_0 BOUND_VARIABLE_1262) (tptp.u1_struct_0 A) (not (= (tptp.l1_orders_2 BOUND_VARIABLE_1264) false))))) :args (_let_144)))) _let_145 :args (_let_143 false _let_144)) :args (_let_141 false _let_74 false _let_72 false _let_63 false _let_70 false _let_143)) :args (_let_139 false _let_141)) :args (_let_133 false _let_35 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_138) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_138)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_18 _let_84 _let_132 QUANTIFIERS_INST_CBQI_PROP)) :args _let_136))) _let_137 :args (_let_135 false _let_10)) :args (_let_134 false _let_135)) :args (_let_131 false _let_133 false _let_134)) :args (_let_19 true _let_130 false _let_131)))) (let ((_let_191 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_75 _let_73 _let_89 _let_87 _let_33 _let_24 _let_25 (not _let_127)))) _let_109 _let_108 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 7)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_88))) :args _let_104)) :args ((or _let_88 _let_100))) _let_106 :args (_let_88 true _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 8)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_86))) :args _let_104)) :args ((or _let_86 _let_100))) _let_106 :args (_let_86 true _let_100)) _let_171 _let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_128))) _let_129 :args (_let_127 false _let_128)) :args (_let_25 false _let_74 false _let_72 false _let_88 false _let_86 false _let_32 false _let_19 false _let_127)))) (let ((_let_192 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 1)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_98))) :args _let_104)) :args ((or _let_98 _let_100))) _let_106 :args (_let_98 true _let_100)))) (let ((_let_193 (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.r2_hidden C _let_2)) (not (tptp.r2_hidden D _let_2)) (not (tptp.r2_hidden (tptp.k4_tarski C D) _let_1)) (not (tptp.r2_hidden (tptp.k4_tarski D C) _let_1)) (= C D))))))) (let ((_let_194 (tptp.r4_relat_2 _let_15 _let_18))) (let ((_let_195 (= _let_194 _let_193))) (let ((_let_196 (tptp.v1_relat_1 _let_15))) (let ((_let_197 (not _let_196))) (let ((_let_198 (or _let_197 _let_195))) (let ((_let_199 (tptp.m1_subset_1 _let_15 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 _let_18 _let_18))))) (let ((_let_200 (not _let_199))) (let ((_let_201 (or _let_200 _let_196))) (let ((_let_202 (tptp.m2_relset_1 _let_15 _let_18 _let_18))) (let ((_let_203 (not _let_202))) (let ((_let_204 (or _let_203 _let_199))) (let ((_let_205 (or _let_75 _let_202))) (let ((_let_206 (= _let_96 _let_194))) (let ((_let_207 (or _let_75 _let_206))) (let ((_let_208 (_let_193))) (let ((_let_209 (or _let_75 _let_99 _let_73 _let_95 _let_33 _let_26 _let_24 _let_22))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_14 _let_24 _let_26 _let_23 _let_20 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_209)) :args ((or _let_75 _let_99 _let_73 _let_95 _let_33 _let_24 _let_26 _let_22 (not _let_209)))) _let_109 _let_192 _let_108 _let_165 _let_171 _let_190 _let_191 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_125)) _let_124 :args (_let_209 false _let_123)) :args (_let_22 false _let_74 false _let_98 false _let_72 false _let_94 false _let_32 false _let_19 false _let_25 false _let_209)) _let_191 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_208) :args _let_189) :args _let_208)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_195)) :args ((or (not _let_194) _let_193 (not _let_195)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_206)) :args ((or _let_97 _let_194 (not _let_206)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 2)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_96))) :args _let_104)) :args ((or _let_96 _let_100))) _let_106 :args (_let_96 true _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_207)) :args ((or _let_75 _let_206 (not _let_207)))) _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_187)) :args _let_118)) _let_117 :args (_let_207 false _let_116)) :args (_let_206 false _let_74 false _let_207)) :args (_let_194 false _let_96 false _let_206)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_198)) :args ((or _let_197 _let_195 (not _let_198)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_201)) :args ((or _let_196 _let_200 (not _let_201)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_204)) :args ((or _let_203 _let_199 (not _let_204)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_205)) :args ((or _let_75 _let_202 (not _let_205)))) _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_205 false _let_66)) :args (_let_202 false _let_74 false _let_205)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_18 _let_18 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_204 false _let_59)) :args (_let_199 false _let_202 false _let_204)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_18 _let_18 _let_15 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55)) _let_54 :args (_let_201 false _let_53)) :args (_let_196 false _let_199 false _let_201)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_15 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_47 :args (_let_198 false _let_46)) :args (_let_195 false _let_196 false _let_198)) :args (_let_193 false _let_194 false _let_195)) :args (_let_27 false _let_193)) _let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_75 _let_99 _let_73 _let_95 _let_31 _let_24 _let_26 _let_17 (not _let_122)))) _let_109 _let_192 _let_108 _let_165 _let_162 _let_190 _let_191 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_125)) _let_124 :args (_let_122 false _let_123)) :args (_let_17 false _let_74 false _let_98 false _let_72 false _let_94 false _let_30 false _let_19 false _let_25 false _let_122)) _let_121 :args (false false _let_22 false _let_25 false _let_27 false _let_19 false _let_17 true _let_14)) :args (_let_13 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_orders_2 A) (= A (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) _let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))) _let_11 _let_10 _let_9 _let_8 (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))))) _let_7 true 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)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.m1_relset_1 E A B) (tptp.m1_relset_1 F C D)) (tptp.m2_relset_1 (tptp.k7_relset_1 A B C D E F) A D))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))) true true true _let_6 _let_5 true (exists ((A $$unsorted)) (tptp.l1_orders_2 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_relset_1 B A A) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_orders_2 A B) (tptp.g1_orders_2 C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A A) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v12_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.m1_relset_1 E A B) (tptp.m1_relset_1 F C D)) (= (tptp.k7_relset_1 A B C D E F) (tptp.k5_relat_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_4 (forall ((A $$unsorted)) (= (tptp.k2_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_3 (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (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))) _let_2 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.54/26.24 )
% 25.54/26.24 % SZS output end Proof for SEU414+1
% 25.54/26.24 % cvc5---1.0.5 exiting
% 25.54/26.24 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------