TSTP Solution File: SEU445+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU445+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 16:31:50 EDT 2023
% Result : Theorem 26.30s 26.53s
% Output : Proof 26.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU445+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 15:35:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 26.30/26.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.paENTwmVBf/cvc5---1.0.5_17644.p...
% 26.30/26.53 ------- get file name : TPTP file name is SEU445+1
% 26.30/26.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17644.smt2...
% 26.30/26.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.30/26.53 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.30/26.53 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.30/26.53 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.30/26.53 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.30/26.53 % SZS status Theorem for SEU445+1
% 26.30/26.53 % SZS output start Proof for SEU445+1
% 26.30/26.53 (
% 26.30/26.53 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (and (= (tptp.k1_funct_5 C) (tptp.k10_relset_1 A B (tptp.k6_relset_1 B A C) A)) (= (tptp.k2_funct_5 C) (tptp.k10_relset_1 B A C B))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 C))) (= (tptp.k9_relat_1 _let_1 D) (tptp.k9_relat_1 _let_1 (tptp.k3_xboole_0 D (tptp.k2_funct_5 C)))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (and (= (tptp.k1_funct_5 A) (tptp.k1_relat_1 A)) (= (tptp.k2_funct_5 A) (tptp.k2_relat_1 A))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 (tptp.k5_relat_1 B C) A) (tptp.k9_relat_1 C (tptp.k9_relat_1 B A))))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k9_relat_1 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B C)))) (= (tptp.k9_relset_2 A B C D E) (tptp.k5_relat_1 D E)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B C) (tptp.k4_relat_1 C)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k5_relset_1 A B C) (tptp.k2_relat_1 C)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k10_relset_1 A B C D) (tptp.k9_relat_1 C D)))))) (let ((_let_13 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_14 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_15 (forall ((A $$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_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B C)))) (tptp.m2_relset_1 (tptp.k9_relset_2 A B C D E) A C))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m2_relset_1 (tptp.k6_relset_1 A B C) B A))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 (tptp.k5_relset_1 A B C) (tptp.k1_zfmisc_1 B)))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k3_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.r1_tarski A B) (tptp.r1_tarski B A)))))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))))) (let ((_let_23 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_relset_1 B A C))) (=> (tptp.m2_relset_1 C B A) (= (tptp.k10_relset_1 A B _let_1 A) (tptp.k10_relset_1 B B (tptp.k9_relset_2 B A B C _let_1) B)))))))) (let ((_let_24 (tptp.k6_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (tptp.k9_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_24))) (let ((_let_26 (tptp.k10_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (tptp.k10_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57 _let_27))) (let ((_let_29 (and _let_28 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57 _let_26)))) (let ((_let_30 (tptp.k3_xboole_0 _let_27 _let_26))) (let ((_let_31 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57 _let_30))) (let ((_let_32 (= _let_31 _let_29))) (let ((_let_33 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_2 (tptp.k10_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k9_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_3 (tptp.k10_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (= (tptp.r2_hidden D (tptp.k3_xboole_0 _let_3 _let_2)) (and (tptp.r2_hidden D _let_3) (tptp.r2_hidden D _let_2))))))))) (let ((_let_34 (_let_19))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_27 _let_26 _let_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_34))) _let_35 :args (_let_33 false _let_19)))) (let ((_let_37 (_let_33))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_40 (tptp.k9_relat_1 _let_24 _let_39))) (let ((_let_41 (tptp.k9_relat_1 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (tptp.k3_xboole_0 _let_41 _let_40))) (let ((_let_43 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57 _let_42))) (let ((_let_44 (tptp.k5_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_24))) (let ((_let_45 (= (tptp.k9_relat_1 _let_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_40))) (let ((_let_46 (= _let_25 _let_44))) (let ((_let_47 (= _let_26 (tptp.k9_relat_1 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_48 (= _let_27 _let_41))) (let ((_let_49 (tptp.k9_relat_1 _let_24 (tptp.k3_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39)))) (let ((_let_50 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57 _let_49))) (let ((_let_51 (not _let_43))) (let ((_let_52 (or _let_51 _let_50))) (let ((_let_53 (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_2 (tptp.k6_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (not (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.k9_relat_1 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.k9_relat_1 _let_2 _let_1)))) (tptp.r2_hidden C (tptp.k9_relat_1 _let_2 (tptp.k3_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1))))))))) (let ((_let_54 (not _let_52))) (let ((_let_55 (tptp.r1_tarski _let_42 _let_49))) (let ((_let_56 (= _let_55 _let_53))) (let ((_let_57 (not _let_53))) (let ((_let_58 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C A)) (tptp.r2_hidden C B))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (_let_58))) (let ((_let_61 ((tptp.r1_tarski A B)))) (let ((_let_62 (tptp.r1_tarski _let_49 _let_42))) (let ((_let_63 (and _let_62 _let_55))) (let ((_let_64 (not _let_55))) (let ((_let_65 (= _let_49 _let_42))) (let ((_let_66 (= _let_65 _let_63))) (let ((_let_67 (not _let_63))) (let ((_let_68 (_let_21))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 _let_30))) (let ((_let_71 (tptp.k2_funct_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_72 (tptp.k4_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_73 (= (tptp.k9_relat_1 _let_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.k9_relat_1 _let_72 (tptp.k3_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_71))))) (let ((_let_74 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 _let_41))) (let ((_let_75 (tptp.k10_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_76 (= _let_75 _let_39))) (let ((_let_77 (= _let_71 _let_75))) (let ((_let_78 (= _let_24 _let_72))) (let ((_let_79 (not _let_65))) (let ((_let_80 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 _let_26))) (let ((_let_81 (and (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 _let_27) _let_80))) (let ((_let_82 (= _let_70 _let_81))) (let ((_let_83 (not _let_70))) (let ((_let_84 (not _let_81))) (let ((_let_85 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 _let_40))) (let ((_let_86 (not _let_80))) (let ((_let_87 (not _let_74))) (let ((_let_88 (or _let_87 _let_85))) (let ((_let_89 (not _let_85))) (let ((_let_90 (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (not (tptp.r2_hidden C (tptp.k9_relat_1 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (tptp.r2_hidden C (tptp.k9_relat_1 _let_1 (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))))) (let ((_let_91 (not _let_88))) (let ((_let_92 (tptp.r1_tarski _let_41 _let_40))) (let ((_let_93 (= _let_92 _let_90))) (let ((_let_94 (not _let_90))) (let ((_let_95 (tptp.r1_tarski _let_40 _let_41))) (let ((_let_96 (and _let_92 _let_95))) (let ((_let_97 (not _let_92))) (let ((_let_98 (= _let_41 _let_40))) (let ((_let_99 (= _let_98 _let_96))) (let ((_let_100 (not _let_96))) (let ((_let_101 (= _let_27 _let_26))) (let ((_let_102 (not _let_98))) (let ((_let_103 (tptp.v1_relat_1 _let_24))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.v1_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_104 _let_45))) (let ((_let_108 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1506 $$unsorted)) (or (not (tptp.v1_relat_1 B)) (not (tptp.v1_relat_1 BOUND_VARIABLE_1506)) (= (tptp.k9_relat_1 (tptp.k5_relat_1 B BOUND_VARIABLE_1506) A) (tptp.k9_relat_1 BOUND_VARIABLE_1506 (tptp.k9_relat_1 B A))))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (tptp.m1_subset_1 _let_24 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_103))) (let ((_let_113 (forall ((A $$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_114 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (_let_113))) (let ((_let_116 ((not (= (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) false))))) (let ((_let_117 (tptp.m2_relset_1 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_110))) (let ((_let_120 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m2_relset_1 C A B)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_24 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_124 (tptp.m1_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_117))) (let ((_let_127 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m1_relset_1 C A B)) (tptp.m2_relset_1 (tptp.k6_relset_1 A B C) B A))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_130 (= _let_129 _let_124))) (let ((_let_131 (_let_8))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 (not _let_129))) (let ((_let_134 (or _let_133 _let_101))) (let ((_let_135 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_relset_1 B A C))) (or (not (tptp.m2_relset_1 C B A)) (= (tptp.k10_relset_1 A B _let_1 A) (tptp.k10_relset_1 B B (tptp.k9_relset_2 B A B C _let_1) B))))))) (let ((_let_136 (not _let_134))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (or))) (let ((_let_139 (not _let_135))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_137) :args (_let_139))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not 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(forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A C B))))) _let_21 _let_20 _let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 (tptp.k10_relset_1 A B C D) (tptp.k1_zfmisc_1 B)))) true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k4_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k5_relat_1 A B)))) _let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_subset_1 A B C) _let_1)))) _let_17 true _let_16 true true _let_15 (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B A))) (=> (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 B)) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (and _let_14 _let_13 (tptp.v3_relat_1 tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_relat_1 (tptp.k2_zfmisc_1 A B))) (and _let_14 _let_13) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A)) (not (tptp.v1_xboole_0 (tptp.k1_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A)) (not (tptp.v1_xboole_0 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 A B))) (=> (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 B)) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B B) B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k4_relat_1 (tptp.k4_relat_1 A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B (tptp.k6_relset_1 A B C)) C))) (exists ((A $$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 $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A))) _let_12 _let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k3_xboole_0 B C))))) _let_10 _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_7 _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski B C)) (tptp.r1_tarski A C))) _let_4 (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) _let_3 _let_2 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.30/26.54 )
% 26.30/26.54 % SZS output end Proof for SEU445+1
% 26.30/26.54 % cvc5---1.0.5 exiting
% 26.30/26.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------