TSTP Solution File: SEU412+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU412+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 16:31:29 EDT 2023
% Result : Theorem 27.39s 27.79s
% Output : Proof 27.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU412+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.10 % Command : do_cvc5 %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Wed Aug 23 12:44:41 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.39 %----Proving TF0_NAR, FOF, or CNF
% 27.39/27.79 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kjThcb6Tdl/cvc5---1.0.5_2020.p...
% 27.39/27.79 ------- get file name : TPTP file name is SEU412+1
% 27.39/27.79 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2020.smt2...
% 27.39/27.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 27.39/27.79 --- Run --no-e-matching --full-saturate-quant at 5...
% 27.39/27.79 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 27.39/27.79 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 27.39/27.79 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.39/27.79 % SZS status Theorem for SEU412+1
% 27.39/27.79 % SZS output start Proof for SEU412+1
% 27.39/27.79 (
% 27.39/27.79 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))))) (let ((_let_2 (forall ((A $$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 ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))))) (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 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (and (tptp.r2_hidden A C) (tptp.r2_hidden B D)))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (tptp.m2_relset_1 (tptp.u1_orders_2 A) _let_1 _let_1)))))) (let ((_let_7 (forall ((A $$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_8 (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_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (not (tptp.r2_hidden D B))))))))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_orders_2 B))) (let ((_let_2 (tptp.u1_orders_2 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_orders_2 C) (tptp.l1_orders_2 C)) (= (= C (tptp.k1_latsum_1 A B)) (and (= (tptp.u1_struct_0 C) (tptp.k2_xboole_0 _let_4 _let_3)) (= (tptp.u1_orders_2 C) (tptp.k2_xboole_0 (tptp.k2_xboole_0 _let_2 _let_1) (tptp.k7_relset_1 _let_4 _let_4 _let_3 _let_3 _let_2 _let_1))))))))))))))))) (let ((_let_12 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.l1_orders_2 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 D))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (=> (tptp.l1_orders_2 D) (not (and (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.u1_orders_2 (tptp.k1_latsum_1 C D))) (tptp.v13_waybel_0 _let_3 C) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1))) (not (and (tptp.r2_hidden A _let_2) (tptp.r2_hidden B _let_2))) (not (and (tptp.r2_hidden A (tptp.k4_xboole_0 _let_1 _let_2)) (tptp.r2_hidden B (tptp.k4_xboole_0 _let_2 _let_1)))))))))))))))) (let ((_let_13 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (tptp.k4_xboole_0 _let_14 _let_13))) (let ((_let_16 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15))) (let ((_let_17 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_20 (and _let_19 _let_18))) (let ((_let_21 (= _let_16 _let_20))) (let ((_let_22 (tptp.k4_xboole_0 _let_13 _let_14))) (let ((_let_23 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22))) (let ((_let_24 (and _let_23 _let_16))) (let ((_let_25 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_28 (and _let_27 _let_26))) (let ((_let_29 (= _let_23 _let_28))) (let ((_let_30 (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_2 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (= (tptp.r2_hidden D (tptp.k4_xboole_0 _let_2 _let_1)) (and (tptp.r2_hidden D _let_2) (not (tptp.r2_hidden D _let_1))))))))) (let ((_let_31 (_let_9))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (_let_30))) (let ((_let_34 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_35 (or _let_27 _let_25))) (let ((_let_36 (tptp.k2_xboole_0 _let_13 _let_14))) (let ((_let_37 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_36))) (let ((_let_38 (= _let_37 _let_35))) (let ((_let_39 (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_2 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (= (tptp.r2_hidden D (tptp.k2_xboole_0 _let_2 _let_1)) (or (tptp.r2_hidden D _let_2) (tptp.r2_hidden D _let_1)))))))) (let ((_let_40 (_let_10))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_13 _let_14 _let_36 QUANTIFIERS_INST_CBQI_PROP)) :args _let_40))) _let_41 :args (_let_39 false _let_10)))) (let ((_let_43 (_let_39))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_46 (tptp.u1_struct_0 _let_45))) (let ((_let_47 (= _let_46 _let_36))) (let ((_let_48 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46))) (let ((_let_49 (tptp.u1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_50 (tptp.u1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_51 (tptp.u1_orders_2 _let_45))) (let ((_let_52 (and _let_47 (= _let_51 (tptp.k2_xboole_0 (tptp.k2_xboole_0 _let_50 _let_49) (tptp.k7_relset_1 _let_13 _let_13 _let_14 _let_14 _let_50 _let_49)))))) (let ((_let_53 (tptp.l1_orders_2 _let_45))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.v1_orders_2 _let_45))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_58 _let_56 _let_54 _let_52))) (let ((_let_62 (forall ((A $$unsorted) (BOUND_VARIABLE_1172 $$unsorted) (BOUND_VARIABLE_1170 $$unsorted)) (let ((_let_1 (tptp.u1_orders_2 BOUND_VARIABLE_1170))) (let ((_let_2 (tptp.u1_orders_2 A))) (let ((_let_3 (tptp.u1_struct_0 BOUND_VARIABLE_1170))) (let ((_let_4 (tptp.u1_struct_0 A))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1170)) (not (tptp.v1_orders_2 BOUND_VARIABLE_1172)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1172)) (= (and (= (tptp.k2_xboole_0 _let_4 _let_3) (tptp.u1_struct_0 BOUND_VARIABLE_1172)) (= (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_1172))) (= BOUND_VARIABLE_1172 (tptp.k1_latsum_1 A BOUND_VARIABLE_1170))))))))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (and _let_55 _let_53))) (let ((_let_65 (or _let_60 _let_58 _let_64))) (let ((_let_66 (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_67 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (and _let_25 _let_19))) (let ((_let_69 (tptp.k3_xboole_0 _let_13 _let_14))) (let ((_let_70 (tptp.m1_subset_1 _let_69 (tptp.k1_zfmisc_1 _let_13)))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.v13_waybel_0 _let_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.k4_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_75 (tptp.r2_hidden _let_74 _let_51))) (let ((_let_76 (not _let_75))) (let ((_let_77 (and _let_27 _let_17))) (let ((_let_78 (or _let_60 _let_77 _let_58 _let_76 _let_73 _let_71 _let_68 _let_24))) (let ((_let_79 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_1085 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_1085))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (or (not (tptp.l1_orders_2 C)) (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1085)) (not (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.u1_orders_2 (tptp.k1_latsum_1 C BOUND_VARIABLE_1085)))) (not (tptp.v13_waybel_0 _let_3 C)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_1))) (and (tptp.r2_hidden A _let_2) (tptp.r2_hidden B _let_2)) (and (tptp.r2_hidden A (tptp.k4_xboole_0 _let_1 _let_2)) (tptp.r2_hidden B (tptp.k4_xboole_0 _let_2 _let_1)))))))))) (let ((_let_80 (not _let_78))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (or))) (let ((_let_83 (not _let_79))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_81) :args (_let_83))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_79))) (REFL :args (_let_80)) :args _let_82)) _let_81 :args (_let_80 true _let_79)))) (let ((_let_85 (REFL :args (_let_78)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 2)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_82)) :args ((or _let_57 _let_78))) _let_84 :args (_let_57 true _let_78)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 0)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_82)) :args ((or _let_59 _let_78))) _let_84 :args (_let_59 true _let_78)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_60 _let_58 _let_64 (not _let_65)))) _let_87 _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_latsum_1 A B)))) :args (_let_66))) _let_67 :args (_let_65 false _let_66)) :args (_let_64 false _let_59 false _let_57 false _let_65)))) (let ((_let_89 (not _let_64))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 1)) :args ((or _let_53 _let_89))) _let_88 :args (_let_53 false _let_64)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 0)) :args ((or _let_47 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_58 _let_54 _let_56 _let_52 (not _let_61)))) _let_87 _let_86 _let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 0)) :args ((or _let_55 _let_89))) _let_88 :args (_let_55 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_62)))) _let_63 :args (_let_61 false _let_62)) :args (_let_52 false _let_59 false _let_57 false _let_53 false _let_55 false _let_61)) :args (_let_47 false _let_52)))) (let ((_let_92 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_46))) (let ((_let_93 (and _let_48 _let_92))) (let ((_let_94 (tptp.k2_zfmisc_1 _let_46 _let_46))) (let ((_let_95 (tptp.r2_hidden _let_74 _let_94))) (let ((_let_96 (= _let_95 _let_93))) (let ((_let_97 (_let_5))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 (tptp.v1_xboole_0 _let_94))) (let ((_let_100 (tptp.m1_subset_1 _let_74 _let_94))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_99 _let_95))) (let ((_let_103 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.m1_subset_1 A B)) (tptp.v1_xboole_0 B) (tptp.r2_hidden A B))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (tptp.m1_subset_1 _let_51 (tptp.k1_zfmisc_1 _let_94)))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_76 _let_106 _let_100))) (let ((_let_108 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden A B)) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (tptp.m2_relset_1 _let_51 _let_46 _let_46))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_105))) (let ((_let_113 (forall ((A $$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_114 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (or _let_54 _let_110))) (let ((_let_116 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.l1_orders_2 A)) (tptp.m2_relset_1 (tptp.u1_orders_2 A) _let_1 _let_1)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or 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_let_76 _let_106 _let_120))) (let ((_let_122 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden A B)) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (not (tptp.v1_xboole_0 C)))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_96)) :args ((or _let_93 (not _let_95) (not _let_96)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_99 _let_95 _let_101 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_76 _let_106 _let_120 (not _let_121)))) _let_119 _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_74 _let_51 _let_94 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) false)) (not (= (tptp.r2_hidden A B) false))))) :args (_let_122))) _let_123 :args (_let_121 false _let_122)) :args (_let_120 false _let_75 false _let_105 false _let_121)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_76 _let_106 _let_100 (not _let_107)))) _let_119 _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_74 _let_51 _let_94 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_108))) _let_109 :args (_let_107 false _let_108)) :args (_let_100 false _let_75 false _let_105 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_74 _let_94 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r2_hidden A B) true))))) :args (_let_103))) _let_104 :args (_let_102 false _let_103)) :args (_let_95 true _let_99 false _let_100 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_46 _let_46 QUANTIFIERS_INST_E_MATCHING ((tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)))) :args _let_97)) _let_98 :args (_let_96 false _let_5)) :args (_let_93 false _let_95 false _let_96)))) (let ((_let_125 (not _let_93))) (let ((_let_126 (and _let_48 _let_47))) (let ((_let_127 (_let_48 _let_47))) (let ((_let_128 (ASSUME :args (_let_48)))) (let ((_let_129 (APPLY_UF tptp.r2_hidden))) (let ((_let_130 (ASSUME :args (_let_47)))) (let ((_let_131 (SYMM _let_130))) (let ((_let_132 (or _let_60 _let_58 _let_73 _let_71 _let_76 _let_26 _let_19))) (let ((_let_133 (forall ((A $$unsorted) (BOUND_VARIABLE_1364 $$unsorted) (BOUND_VARIABLE_1362 $$unsorted) (BOUND_VARIABLE_1360 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_1360))) (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_1360)) (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_1364 BOUND_VARIABLE_1362) (tptp.u1_orders_2 (tptp.k1_latsum_1 A BOUND_VARIABLE_1360)))) (not (tptp.r2_hidden BOUND_VARIABLE_1364 _let_1)) (tptp.r2_hidden BOUND_VARIABLE_1362 _let_1)))))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_60 _let_58 _let_76 _let_73 _let_71 _let_19 _let_26 (not _let_132)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_133))) _let_134 :args (_let_132 false _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 5)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_70))) :args _let_82)) :args ((or _let_70 _let_78))) _let_84 :args (_let_70 true _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 4)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_82)) :args ((or _let_72 _let_78))) _let_84 :args (_let_72 true _let_78)) _let_119 _let_86 _let_87 (CNF_AND_NEG :args (_let_68)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_78 6)) _let_84 :args ((not _let_68) true _let_78)) :args (_let_26 false _let_132 false _let_70 false _let_72 false _let_75 false _let_57 false _let_59 true _let_19 true _let_68)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_27 _let_25 (not _let_35)))) _let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_38)) :args ((or _let_35 (not _let_37) (not _let_38)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_126)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_128 _let_130) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_131 :args _let_129) (TRUE_INTRO _let_128))) :args _let_127)) :args _let_127)) :args (true _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_93 0)) :args ((or _let_48 _let_125))) _let_124 :args (_let_48 false _let_93)) _let_91 :args (_let_37 false _let_48 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_34) :args _let_43)) _let_42 :args (_let_38 false _let_39)) :args (_let_35 false _let_37 false _let_38)) :args (_let_27 true _let_25 false _let_35)))) (let ((_let_137 (not _let_27))) (let ((_let_138 (_let_28))) (let ((_let_139 (or _let_17 _let_19))) (let ((_let_140 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_36))) (let ((_let_141 (= _let_140 _let_139))) (let ((_let_142 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_143 (and _let_92 _let_47))) (let ((_let_144 (_let_92 _let_47))) (let ((_let_145 (ASSUME :args (_let_92)))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_77)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_78 1)) _let_84 :args ((not _let_77) true _let_78)) _let_136 :args (_let_18 true _let_77 false _let_27)))) (let ((_let_147 (not _let_19))) (let ((_let_148 (_let_20))) (let ((_let_149 (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_2 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (= (tptp.r2_hidden D (tptp.k4_xboole_0 _let_2 _let_1)) (and (tptp.r2_hidden D _let_2) (not (tptp.r2_hidden D _let_1))))))))) (let ((_let_150 (_let_149))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_21)) :args ((or _let_16 (not _let_20) (not _let_21)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_150) :args _let_142) :args _let_150)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_14 _let_13 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_31))) _let_32 :args (_let_149 false _let_9)) :args (_let_21 false _let_149)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_148) (CONG (REFL :args _let_148) (REFL :args (_let_147)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_82)) :args ((or _let_17 _let_147 _let_20))) _let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_17 _let_19 (not _let_139)))) _let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_141)) :args ((or _let_139 (not _let_140) (not _let_141)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_143)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_145 _let_130) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_131 :args _let_129) (TRUE_INTRO _let_145))) :args _let_144)) :args _let_144)) :args (true _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_93 1)) :args ((or _let_92 _let_125))) _let_124 :args (_let_92 false _let_93)) _let_91 :args (_let_140 false _let_92 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_142) :args _let_43)) _let_42 :args (_let_141 false _let_39)) :args (_let_139 false _let_140 false _let_141)) :args (_let_19 true _let_17 false _let_139)) :args (_let_20 true _let_17 false _let_19)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_24)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_78 7)) _let_84 :args ((not _let_24) true _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_29)) :args ((or _let_23 (not _let_28) (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_138) (CONG (REFL :args _let_138) (REFL :args (_let_137)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_82)) :args ((or _let_25 _let_137 _let_28))) _let_135 _let_136 :args (_let_28 true _let_25 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args _let_34) :args _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_13 _let_14 _let_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_31))) _let_32 :args (_let_30 false _let_9)) :args (_let_29 false _let_30)) :args (_let_23 false _let_28 false _let_29)) :args ((not _let_16) true _let_24 false _let_23)) :args (false false _let_21 false _let_20 true _let_16)) :args (_let_12 (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)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))) _let_11 _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (tptp.m1_relset_1 B A A) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) _let_8 true true true true true true true (forall ((A $$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_7 _let_6 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 $$unsorted) (B $$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 $$unsorted)) (tptp.r1_tarski A A)) _let_5 _let_4 (forall ((A $$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))) (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) _let_3 (forall ((A $$unsorted)) (= (tptp.k4_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted)) (= (tptp.k4_xboole_0 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) _let_2 _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 27.58/27.80 )
% 27.58/27.80 % SZS output end Proof for SEU412+1
% 27.58/27.80 % cvc5---1.0.5 exiting
% 27.58/27.80 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------