TSTP Solution File: SEU407+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU407+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 16:31:26 EDT 2023
% Result : Theorem 11.67s 11.86s
% Output : Proof 11.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU407+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n003.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 15:30:22 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 11.67/11.86 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.mWHPPNKmBm/cvc5---1.0.5_616.p...
% 11.67/11.86 ------- get file name : TPTP file name is SEU407+1
% 11.67/11.86 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_616.smt2...
% 11.67/11.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.67/11.86 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.67/11.86 % SZS status Theorem for SEU407+1
% 11.67/11.86 % SZS output start Proof for SEU407+1
% 11.67/11.86 (
% 11.67/11.86 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k4_xboole_0 B A)) (tptp.k2_xboole_0 A B))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))))) (let ((_let_3 (forall ((A $$unsorted)) (= (tptp.k2_xboole_0 A tptp.k1_xboole_0) A)))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 B A))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))))) (let ((_let_8 (forall ((A $$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.k2_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))))) (let ((_let_10 (forall ((A $$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_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B A))))) (let ((_let_12 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))) (or (tptp.r2_hidden C _let_1) (tptp.r2_hidden C (tptp.k4_xboole_0 (tptp.u1_struct_0 B) _let_1))))))))))))) (let ((_let_13 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (tptp.u1_struct_0 _let_13))) (let ((_let_15 (tptp.k2_xboole_0 tptp.k1_xboole_0 _let_14))) (let ((_let_16 (tptp.v1_xboole_0 _let_15))) (let ((_let_17 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15))) (let ((_let_18 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_16 _let_17))) (let ((_let_21 (not _let_16))) (let ((_let_22 (tptp.v1_xboole_0 _let_14))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.v1_xboole_0 A) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 B A))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (not _let_22))) (let ((_let_27 (tptp.l1_struct_0 _let_13))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.v3_struct_0 _let_13))) (let ((_let_30 (or _let_29 _let_28 _let_26))) (let ((_let_31 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_13 QUANTIFIERS_INST_ENUM))) (let ((_let_34 (tptp.l1_orders_2 _let_13))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_27))) (let ((_let_37 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (tptp.l1_struct_0 A))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (tptp.v1_orders_2 _let_13))) (let ((_let_40 (and _let_39 _let_34))) (let ((_let_41 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42 _let_40))) (let ((_let_46 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_49 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_51 (tptp.k4_xboole_0 _let_50 _let_49))) (let ((_let_52 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_51))) (let ((_let_53 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_49))) (let ((_let_54 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_57 (or (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_44 _let_56 _let_42 _let_55 _let_53 _let_52))) (let ((_let_58 (forall ((A $$unsorted) (BOUND_VARIABLE_1087 $$unsorted) (BOUND_VARIABLE_1085 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l1_orders_2 A)) (tptp.v3_struct_0 BOUND_VARIABLE_1085) (not (tptp.l1_orders_2 BOUND_VARIABLE_1085)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1087 (tptp.u1_struct_0 (tptp.k1_latsum_1 A BOUND_VARIABLE_1085)))) (tptp.r2_hidden BOUND_VARIABLE_1087 _let_1) (tptp.r2_hidden BOUND_VARIABLE_1087 (tptp.k4_xboole_0 (tptp.u1_struct_0 BOUND_VARIABLE_1085) _let_1))))))) (let ((_let_59 (not _let_57))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (or))) (let ((_let_62 (not _let_58))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_60) :args (_let_62))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_58))) (REFL :args (_let_59)) :args _let_61)) _let_60 :args (_let_59 true _let_58)))) (let ((_let_64 (REFL :args (_let_57)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 3)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_61)) :args ((or _let_41 _let_57))) _let_63 :args (_let_41 true _let_57)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 1)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_61)) :args ((or _let_43 _let_57))) _let_63 :args (_let_43 true _let_57)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_42 _let_40 (not _let_45)))) _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_48) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_40 false _let_43 false _let_41 false _let_45)))) (let ((_let_68 (not _let_40))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_40 1)) :args ((or _let_34 _let_68))) _let_67 :args (_let_34 false _let_40)))) (let ((_let_70 (not _let_29))) (let ((_let_71 (and _let_70 _let_39))) (let ((_let_72 (or _let_44 _let_56 _let_42 _let_71))) (let ((_let_73 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (or (not (tptp.l1_orders_2 A)) (tptp.v3_struct_0 B) (not (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (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_76 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (tptp.k2_xboole_0 _let_49 _let_51))) (let ((_let_78 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_77))) (let ((_let_79 (tptp.k2_xboole_0 _let_49 _let_50))) (let ((_let_80 (= _let_79 _let_77))) (let ((_let_81 (= _let_14 _let_79))) (let ((_let_82 (tptp.k2_xboole_0 _let_14 tptp.k1_xboole_0))) (let ((_let_83 (= _let_14 _let_82))) (let ((_let_84 (= _let_15 _let_82))) (let ((_let_85 (not _let_17))) (let ((_let_86 (or _let_53 _let_52))) (let ((_let_87 (= _let_78 _let_86))) (let ((_let_88 (not _let_78))) (let ((_let_89 (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.k4_xboole_0 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_1))) (= (tptp.r2_hidden D (tptp.k2_xboole_0 _let_1 _let_2)) (or (tptp.r2_hidden D _let_1) (tptp.r2_hidden D _let_2)))))))) (let ((_let_90 (_let_9))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (_let_89))) (let ((_let_93 (not _let_86))) (let ((_let_94 (_let_1))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (tptp.u1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_97 (tptp.u1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_98 (and _let_81 (= (tptp.u1_orders_2 _let_13) (tptp.k2_xboole_0 (tptp.k2_xboole_0 _let_97 _let_96) (tptp.k7_relset_1 _let_49 _let_49 _let_50 _let_50 _let_97 _let_96)))))) (let ((_let_99 (not _let_39))) (let ((_let_100 (or _let_44 _let_42 _let_99 _let_35 _let_98))) (let ((_let_101 (forall ((A $$unsorted) (BOUND_VARIABLE_1165 $$unsorted) (BOUND_VARIABLE_1163 $$unsorted)) (let ((_let_1 (tptp.u1_orders_2 BOUND_VARIABLE_1163))) (let ((_let_2 (tptp.u1_orders_2 A))) (let ((_let_3 (tptp.u1_struct_0 BOUND_VARIABLE_1163))) (let ((_let_4 (tptp.u1_struct_0 A))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1163)) (not (tptp.v1_orders_2 BOUND_VARIABLE_1165)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1165)) (= (and (= (tptp.k2_xboole_0 _let_4 _let_3) (tptp.u1_struct_0 BOUND_VARIABLE_1165)) (= (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_1165))) (= BOUND_VARIABLE_1165 (tptp.k1_latsum_1 A BOUND_VARIABLE_1163))))))))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (forall ((A $$unsorted)) (= A (tptp.k2_xboole_0 A tptp.k1_xboole_0))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_14 QUANTIFIERS_INST_ENUM)) :args (_let_103))) _let_104 :args (_let_83 false _let_103)))) (let ((_let_106 (_let_11))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.k1_xboole_0 _let_14 QUANTIFIERS_INST_ENUM)) :args _let_106)) _let_107 :args (_let_84 false _let_11)))) (let ((_let_109 (and _let_84 _let_83 _let_81 _let_80 _let_88))) (let ((_let_110 (ASSUME :args (_let_88)))) (let ((_let_111 (ASSUME :args (_let_80)))) (let ((_let_112 (ASSUME :args (_let_81)))) (let ((_let_113 (ASSUME :args (_let_83)))) (let ((_let_114 (SYMM _let_113))) (let ((_let_115 (ASSUME :args (_let_84)))) (let ((_let_116 (SYMM (SYMM _let_115)))) (let ((_let_117 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_118 (and _let_54 _let_84 _let_83))) (let ((_let_119 (ASSUME :args (_let_54)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_16 _let_19 _let_17 (not _let_20)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_118)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_119 _let_113 _let_115) (SCOPE (TRUE_ELIM (TRANS (CONG _let_117 (TRANS _let_116 _let_114) :args (APPLY_UF tptp.m1_subset_1)) (TRUE_INTRO _let_119))) :args (_let_54 _let_83 _let_84))) :args (_let_54 _let_84 _let_83))) :args (true _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 4)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_61)) :args ((or _let_54 _let_57))) _let_63 :args (_let_54 true _let_57)) _let_108 _let_105 :args (_let_18 false _let_54 false _let_84 false _let_83)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_109)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_110 _let_111 _let_112 _let_113 _let_115) (SCOPE (FALSE_ELIM (TRANS (CONG _let_117 (TRANS _let_116 _let_114 (SYMM (SYMM _let_112)) (SYMM (SYMM _let_111))) :args (APPLY_UF tptp.r2_hidden)) (FALSE_INTRO _let_110))) :args (_let_88 _let_80 _let_81 _let_83 _let_84))) :args (_let_84 _let_83 _let_81 _let_80 _let_88))) :args (true _let_109)) (CONG (REFL :args ((not _let_84))) (REFL :args ((not _let_83))) (REFL :args ((not _let_81))) (REFL :args ((not _let_80))) (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_78))) (REFL :args (_let_85)) :args _let_61)) _let_108 _let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_98 0)) :args ((or _let_81 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_44 _let_42 _let_99 _let_35 _let_98 (not _let_100)))) _let_66 _let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_40 0)) :args ((or _let_39 _let_68))) _let_67 :args (_let_39 false _let_40)) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args (_let_101)))) _let_102 :args (_let_100 false _let_101)) :args (_let_98 false _let_43 false _let_41 false _let_39 false _let_34 false _let_100)) :args (_let_81 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_49 _let_50 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_94))) _let_95 :args (_let_80 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_87)) :args ((or _let_86 _let_88 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_53 _let_52 _let_93))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_57 5)) _let_63 :args ((not _let_53) true _let_57)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_57 6)) _let_63 :args ((not _let_52) true _let_57)) :args (_let_93 true _let_53 true _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_92) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_49 _let_51 _let_77 QUANTIFIERS_INST_CBQI_PROP)) :args _let_90))) _let_91 :args (_let_89 false _let_9)) :args (_let_87 false _let_89)) :args (_let_88 true _let_86 false _let_87)) :args (_let_85 false _let_84 false _let_83 false _let_81 false _let_80 true _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_75))) _let_76 :args (_let_20 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_21 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_26 _let_29 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_70 (not _let_71)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_44 _let_56 _let_42 _let_71 (not _let_72)))) _let_66 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_57 2)) _let_63 :args ((not _let_56) true _let_57)) _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_48) :args (_let_73))) _let_74 :args (_let_72 false _let_73)) :args (_let_71 false _let_43 true _let_56 false _let_41 false _let_72)) :args (_let_70 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_27 (not _let_36)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_33) :args (_let_37))) _let_38 :args (_let_36 false _let_37)) :args (_let_27 false _let_34 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args _let_33) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_26 true _let_29 false _let_27 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_14 tptp.k1_xboole_0 QUANTIFIERS_INST_ENUM)) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_21 true _let_22 false _let_23)) :args (false false _let_18 true _let_17 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) _let_11 _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (tptp.m1_relset_1 B A A) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) _let_8 true true true true true (forall ((A $$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 $$unsorted)) (=> (and (tptp.m1_relset_1 E A B) (tptp.m1_relset_1 F C D)) (tptp.m2_relset_1 (tptp.k7_relset_1 A B C D E F) A D))) _let_7 true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (tptp.m2_relset_1 (tptp.u1_orders_2 A) _let_1 _let_1)))) true (exists ((A $$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 $$unsorted)) (tptp.m2_relset_1 C A B))) _let_6 _let_5 (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 A B))))) _let_4 (forall ((A $$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 $$unsorted)) (= (tptp.k2_xboole_0 A A) A)) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (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 $$unsorted)) (tptp.r1_tarski A A)) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_2 _let_1 (forall ((A $$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 $$unsorted)) (= (tptp.k4_xboole_0 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.67/11.87 )
% 11.67/11.87 % SZS output end Proof for SEU407+1
% 11.67/11.87 % cvc5---1.0.5 exiting
% 11.67/11.87 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------