TSTP Solution File: LAT310+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 06:03:54 EDT 2023
% Result : Theorem 11.15s 11.36s
% Output : Proof 11.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.18/0.35 % Computer : n022.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Thu Aug 24 05:18:11 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 11.15/11.36 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.BUwLBZJAQ5/cvc5---1.0.5_29395.p...
% 11.15/11.36 ------- get file name : TPTP file name is LAT310+1
% 11.15/11.36 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29395.smt2...
% 11.15/11.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.15/11.36 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.15/11.36 % SZS status Theorem for LAT310+1
% 11.15/11.36 % SZS output start Proof for LAT310+1
% 11.15/11.36 (
% 11.15/11.36 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski B C)) (tptp.r1_tarski A C))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice4 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m2_filter_2 (tptp.k19_filter_2 A B) A))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m2_filter_2 C A) (= (= C (tptp.k19_filter_2 A B)) (and (tptp.r1_tarski B C) (forall ((D $$unsorted)) (=> (tptp.m2_filter_2 D A) (=> (tptp.r1_tarski B D) (tptp.r1_tarski C D)))))))))))))) (let ((_let_7 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k19_filter_2 A B))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k19_filter_2 A C) (tptp.k19_filter_2 A D))) (tptp.r1_tarski (tptp.k19_filter_2 A _let_1) _let_1)))))))))))))) (let ((_let_8 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.m2_filter_2 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.r1_tarski _let_10 _let_8))) (let ((_let_12 (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8))) (let ((_let_13 (not _let_12))) (let ((_let_14 (not _let_9))) (let ((_let_15 (or _let_14 _let_13 _let_11))) (let ((_let_16 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_17 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_16))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (or _let_24 _let_23 _let_21 _let_19 _let_18 _let_9))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 B) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m2_filter_2 (tptp.k19_filter_2 A B) A))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_30 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_29))) (let ((_let_31 (tptp.r1_tarski _let_30 _let_29))) (let ((_let_32 (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_11))) (let ((_let_35 (and _let_34 _let_31))) (let ((_let_36 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_39 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_16))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_42 (or _let_24 _let_23 _let_21 _let_41 _let_40 _let_38 _let_37 _let_19 _let_18 _let_35))) (let ((_let_43 (forall ((A $$unsorted) (BOUND_VARIABLE_1101 $$unsorted) (BOUND_VARIABLE_1099 $$unsorted) (BOUND_VARIABLE_1097 $$unsorted)) (let ((_let_1 (tptp.k19_filter_2 A BOUND_VARIABLE_1097))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 BOUND_VARIABLE_1097) (not (tptp.m1_subset_1 BOUND_VARIABLE_1097 _let_2)) (tptp.v1_xboole_0 BOUND_VARIABLE_1101) (not (tptp.m1_subset_1 BOUND_VARIABLE_1101 _let_2)) (tptp.v1_xboole_0 BOUND_VARIABLE_1099) (not (tptp.m1_subset_1 BOUND_VARIABLE_1099 _let_2)) (and (or (not (tptp.r1_tarski BOUND_VARIABLE_1101 BOUND_VARIABLE_1099)) (tptp.r1_tarski (tptp.k19_filter_2 A BOUND_VARIABLE_1101) (tptp.k19_filter_2 A BOUND_VARIABLE_1099))) (tptp.r1_tarski (tptp.k19_filter_2 A _let_1) _let_1)))))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (or))) (let ((_let_47 (not _let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args (_let_47))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_43))) (REFL :args (_let_44)) :args _let_46)) _let_45 :args (_let_44 true _let_43)))) (let ((_let_49 (REFL :args (_let_42)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 8)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_46)) :args ((or _let_17 _let_42))) _let_48 :args (_let_17 true _let_42)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 7)) _let_48 :args ((not _let_19) true _let_42)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 2)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_46)) :args ((or _let_20 _let_42))) _let_48 :args (_let_20 true _let_42)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 1)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_46)) :args ((or _let_22 _let_42))) _let_48 :args (_let_22 true _let_42)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 0)) _let_48 :args ((not _let_24) true _let_42)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_23 _let_21 _let_19 _let_18 _let_9 (not _let_25)))) _let_54 _let_53 _let_52 _let_51 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_28)) _let_27 :args (_let_25 false _let_26)) :args (_let_9 true _let_24 false _let_22 false _let_20 true _let_19 false _let_17 false _let_25)))) (let ((_let_56 (forall ((D $$unsorted)) (or (not (tptp.m2_filter_2 D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 D)) (tptp.r1_tarski (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) D))))) (let ((_let_57 (and (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10) _let_56))) (let ((_let_58 (tptp.m2_filter_2 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_24 _let_23 _let_21 _let_38 _let_37 _let_59 _let_57))) (let ((_let_61 (forall ((A $$unsorted) (BOUND_VARIABLE_1209 $$unsorted) (BOUND_VARIABLE_1207 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 BOUND_VARIABLE_1207) (not (tptp.m1_subset_1 BOUND_VARIABLE_1207 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.m2_filter_2 BOUND_VARIABLE_1209 A)) (= (and (tptp.r1_tarski BOUND_VARIABLE_1207 BOUND_VARIABLE_1209) (forall ((D $$unsorted)) (or (not (tptp.m2_filter_2 D A)) (not (tptp.r1_tarski BOUND_VARIABLE_1207 D)) (tptp.r1_tarski BOUND_VARIABLE_1209 D)))) (= BOUND_VARIABLE_1209 (tptp.k19_filter_2 A BOUND_VARIABLE_1207))))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_61))) (let ((_let_64 (or _let_24 _let_23 _let_21 _let_38 _let_37 _let_58))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 6)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_46)) :args ((or _let_36 _let_42))) _let_48 :args (_let_36 true _let_42)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 5)) _let_48 :args ((not _let_38) true _let_42)))) (let ((_let_67 (_let_56))) (let ((_let_68 (= _let_29 _let_30))) (let ((_let_69 (tptp.r1_tarski _let_30 _let_30))) (let ((_let_70 (tptp.r1_tarski _let_29 _let_29))) (let ((_let_71 (= _let_70 _let_68))) (let ((_let_72 (tptp.m2_filter_2 _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.m1_subset_1 _let_29 _let_16))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.v1_xboole_0 _let_29))) (let ((_let_77 (or _let_24 _let_23 _let_21 _let_76 _let_75 _let_73 _let_71))) (let ((_let_78 (tptp.m2_lattice4 _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_24 _let_23 _let_21 _let_79 _let_74))) (let ((_let_81 (forall ((A $$unsorted) (BOUND_VARIABLE_1293 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_lattice4 BOUND_VARIABLE_1293 A)) (tptp.m1_subset_1 BOUND_VARIABLE_1293 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_29 QUANTIFIERS_INST_ENUM))) (let ((_let_84 (not _let_76))) (let ((_let_85 (and _let_84 _let_78))) (let ((_let_86 (or _let_24 _let_23 _let_21 _let_73 _let_85))) (let ((_let_87 (forall ((A $$unsorted) (BOUND_VARIABLE_1267 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_filter_2 BOUND_VARIABLE_1267 A)) (and (not (tptp.v1_xboole_0 BOUND_VARIABLE_1267)) (tptp.m2_lattice4 BOUND_VARIABLE_1267 A)))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (or _let_24 _let_23 _let_21 _let_41 _let_40 _let_72))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_24 _let_23 _let_21 _let_41 _let_40 _let_72 (not _let_89)))) _let_54 _let_53 _let_52 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 3)) _let_48 :args ((not _let_41) true _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 4)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_46)) :args ((or _let_39 _let_42))) _let_48 :args (_let_39 true _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_28)) _let_27 :args (_let_89 false _let_26)) :args (_let_72 true _let_24 false _let_22 false _let_20 true _let_41 false _let_39 false _let_89)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_24 _let_23 _let_21 _let_73 _let_85 (not _let_86)))) _let_54 _let_53 _let_52 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args _let_83) :args (_let_87))) _let_88 :args (_let_86 false _let_87)) :args (_let_85 true _let_24 false _let_22 false _let_20 false _let_72 false _let_86)))) (let ((_let_92 (not _let_85))) (let ((_let_93 (forall ((A $$unsorted)) (tptp.r1_tarski A A)))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (_let_93))) (let ((_let_96 (and _let_69 _let_68))) (let ((_let_97 (_let_69 _let_68))) (let ((_let_98 (ASSUME :args (_let_69)))) (let ((_let_99 (ASSUME :args (_let_68)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_35)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 9)) _let_48 :args ((not _let_35) true _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_96)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_99) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_30)) (SYMM (SYMM _let_99)) :args (APPLY_UF tptp.r1_tarski)) (TRUE_INTRO _let_98))) :args _let_97)) :args _let_97)) :args (true _let_96)) :args ((or _let_31 (not _let_69) (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_30 QUANTIFIERS_INST_ENUM)) :args _let_95)) _let_94 :args (_let_69 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_71)) :args ((or (not _let_70) _let_68 (not _let_71)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_29 QUANTIFIERS_INST_ENUM)) :args _let_95)) _let_94 :args (_let_70 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_24 _let_23 _let_21 _let_73 _let_76 _let_75 _let_71 (not _let_77)))) _let_54 _let_53 _let_52 _let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 0)) :args ((or _let_84 _let_92))) _let_91 :args (_let_84 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_24 _let_23 _let_21 _let_74 _let_79 (not _let_80)))) _let_54 _let_53 _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 1)) :args ((or _let_78 _let_92))) _let_91 :args (_let_78 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args _let_83) :args (_let_81))) _let_82 :args (_let_80 false _let_81)) :args (_let_74 true _let_24 false _let_22 false _let_20 false _let_78 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_29 _let_29 QUANTIFIERS_INST_ENUM)) :args _let_63))) _let_62 :args (_let_77 false _let_61)) :args (_let_71 true _let_24 false _let_22 false _let_20 false _let_72 true _let_76 false _let_74 false _let_77)) :args (_let_68 false _let_70 false _let_71)) :args (_let_31 false _let_69 false _let_68)) :args ((not _let_34) true _let_35 false _let_31)))) (let ((_let_101 (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_8))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_33 _let_102 _let_12))) (let ((_let_104 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.r1_tarski A B)) (not (tptp.r1_tarski B C)) (tptp.r1_tarski A C))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (and _let_101 (forall ((D $$unsorted)) (or (not (tptp.m2_filter_2 D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 D)) (tptp.r1_tarski (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) D)))))) (let ((_let_107 (or _let_24 _let_23 _let_21 _let_19 _let_18 _let_14 _let_106))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_11 _let_14 _let_13 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_33 _let_12 _let_102 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_46)) :args ((or _let_32 _let_34))) _let_100 :args (_let_32 true _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_106 0)) :args ((or _let_101 (not _let_106)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_24 _let_23 _let_21 _let_19 _let_18 _let_14 _let_106 (not _let_107)))) _let_54 _let_53 _let_52 _let_51 _let_50 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_63))) _let_62 :args (_let_107 false _let_61)) :args (_let_106 true _let_24 false _let_22 false _let_20 true _let_19 false _let_17 false _let_9 false _let_107)) :args (_let_101 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_104))) _let_105 :args (_let_103 false _let_104)) :args (_let_12 false _let_32 false _let_101 false _let_103)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 1)) _let_100 :args ((not _let_11) true _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_67) :args (_let_8 QUANTIFIERS_INST_ENUM)) :args _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_57 1)) :args ((or _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_24 _let_23 _let_21 _let_38 _let_37 _let_59 _let_57 (not _let_60)))) _let_54 _let_53 _let_52 _let_66 _let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_24 _let_23 _let_21 _let_38 _let_37 _let_58 (not _let_64)))) _let_54 _let_53 _let_52 _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_28)) _let_27 :args (_let_64 false _let_26)) :args (_let_58 true _let_24 false _let_22 false _let_20 true _let_38 false _let_36 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_63))) _let_62 :args (_let_60 false _let_61)) :args (_let_57 true _let_24 false _let_22 false _let_20 true _let_38 false _let_36 false _let_58 false _let_60)) :args (_let_56 false _let_57)) :args (_let_15 false _let_56)) _let_55 :args (false false _let_12 true _let_11 false _let_15 false _let_9)) :args (_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v10_lattices A)) (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)) (and _let_1 (tptp.v10_lattices A)))))) _let_6 _let_5 true true (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))) true (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))) true _let_4 _let_3 true (exists ((A $$unsorted)) (tptp.l1_lattices A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_lattices A)) (exists ((A $$unsorted)) (tptp.l3_lattices A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m2_filter_2 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m2_lattice4 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (and (tptp.m2_lattice4 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 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 $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$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)))))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_1 (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))) (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.15/11.36 )
% 11.15/11.36 % SZS output end Proof for LAT310+1
% 11.15/11.36 % cvc5---1.0.5 exiting
% 11.15/11.37 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------