%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP637+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 00:26:48 EDT 2023

% Result   : Theorem 0.40s 0.63s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GRP637+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12  % Command    : do_cvc5 %s %d
% 0.11/0.33  % Computer : n013.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Aug 28 19:52:31 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.17/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.40/0.63  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.LffFc4fPB1/cvc5---1.0.5_29195.p...
% 0.40/0.63  ------- get file name : TPTP file name is GRP637+1
% 0.40/0.63  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29195.smt2...
% 0.40/0.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.40/0.63  % SZS status Theorem for GRP637+1
% 0.40/0.63  % SZS output start Proof for GRP637+1
% 0.40/0.63  (
% 0.40/0.63  (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m1_group_2 B C)))))))))) (let ((_let_2 (forall ((A $$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_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (= (tptp.m1_group_6 C A B) (tptp.m1_group_2 C B))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (= (tptp.k2_funct_2 A B C D) (tptp.k9_relat_1 C D)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)) (= (tptp.m1_group_2 B A) (and (tptp.r1_tarski _let_1 (tptp.u1_struct_0 A)) (= (tptp.u1_group_1 B) (tptp.k1_realset1 (tptp.u1_group_1 A) _let_1))))))))))) (let ((_let_9 (forall ((A $$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_10 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (forall ((F $$unsorted)) (=> (tptp.m1_group_2 F B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_group_2 G B) (=> (and (= (tptp.u1_struct_0 F) (tptp.k2_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 D))) (= (tptp.u1_struct_0 G) (tptp.k2_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 E))) (tptp.m1_group_6 D A E)) (tptp.m1_group_6 F B G))))))))))))))))))))))) (let ((_let_11 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_12 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_13 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_14 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.k2_funct_2 _let_14 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12))) (let ((_let_16 (= _let_15 _let_11))) (let ((_let_17 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_18 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (tptp.k2_funct_2 _let_14 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12))) (let ((_let_22 (= _let_15 _let_21))) (let ((_let_23 (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18))) (let ((_let_24 (= _let_19 _let_23))) (let ((_let_25 (tptp.r1_tarski _let_11 _let_17))) (let ((_let_26 (tptp.r1_tarski _let_21 _let_23))) (let ((_let_27 (tptp.m1_group_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_28 (not _let_20))) (let ((_let_29 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_30 (not _let_29))) (let ((_let_31 (not _let_16))) (let ((_let_32 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.m1_group_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 _let_13))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.v1_funct_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 _let_13))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.v1_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_53 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (or _let_59 _let_58 _let_56 _let_54 _let_52 _let_51 _let_49 _let_47 _let_45 _let_43 (not (tptp.v1_group_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) _let_41 _let_39 _let_37 _let_35 _let_33 _let_31 _let_30 _let_28 _let_27))) (let ((_let_61 (forall ((A $$unsorted) (BOUND_VARIABLE_1390 $$unsorted) (BOUND_VARIABLE_1388 $$unsorted) (BOUND_VARIABLE_1386 $$unsorted) (BOUND_VARIABLE_1384 $$unsorted) (BOUND_VARIABLE_1382 $$unsorted) (BOUND_VARIABLE_1380 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_1380))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (tptp.v3_struct_0 BOUND_VARIABLE_1380) (not (tptp.v3_group_1 BOUND_VARIABLE_1380)) (not (tptp.v4_group_1 BOUND_VARIABLE_1380)) (not (tptp.l1_group_1 BOUND_VARIABLE_1380)) (not (tptp.v1_funct_1 BOUND_VARIABLE_1390)) (not (tptp.v1_funct_2 BOUND_VARIABLE_1390 _let_2 _let_1)) (not (tptp.v1_group_6 BOUND_VARIABLE_1390 A BOUND_VARIABLE_1380)) (not (tptp.m2_relset_1 BOUND_VARIABLE_1390 _let_2 _let_1)) (not (tptp.m1_group_2 BOUND_VARIABLE_1382 A)) (not (tptp.m1_group_2 BOUND_VARIABLE_1388 A)) (not (tptp.m1_group_6 BOUND_VARIABLE_1382 A BOUND_VARIABLE_1388)) (not (tptp.m1_group_2 BOUND_VARIABLE_1384 BOUND_VARIABLE_1380)) (not (= (tptp.k2_funct_2 _let_2 _let_1 BOUND_VARIABLE_1390 (tptp.u1_struct_0 BOUND_VARIABLE_1382)) (tptp.u1_struct_0 BOUND_VARIABLE_1384))) (not (tptp.m1_group_2 BOUND_VARIABLE_1386 BOUND_VARIABLE_1380)) (not (= (tptp.k2_funct_2 _let_2 _let_1 BOUND_VARIABLE_1390 (tptp.u1_struct_0 BOUND_VARIABLE_1388)) (tptp.u1_struct_0 BOUND_VARIABLE_1386))) (tptp.m1_group_6 BOUND_VARIABLE_1384 BOUND_VARIABLE_1380 BOUND_VARIABLE_1386))))))) (let ((_let_62 (not _let_60))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (or))) (let ((_let_65 (not _let_61))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_63) :args (_let_65))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_61))) (REFL :args (_let_62)) :args _let_64)) _let_63 :args (_let_62 true _let_61)))) (let ((_let_67 (REFL :args (_let_60)))) (let ((_let_68 (tptp.m1_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 _let_13))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_45 _let_43 _let_69 _let_22))) (let ((_let_71 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C A B)) (not (tptp.m1_relset_1 C A B)) (= (tptp.k2_funct_2 A B C D) (tptp.k9_relat_1 C D)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 ((tptp.k2_funct_2 A B C D)))) (let ((_let_75 (= _let_40 _let_68))) (let ((_let_76 (_let_3))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 11)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_64)) :args ((or _let_40 _let_60))) _let_66 :args (_let_40 true _let_60)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_75)) :args ((or _let_41 _let_68 (not _let_75)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_14 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m2_relset_1 C A B)))) :args _let_76)) _let_77 :args (_let_75 false _let_3)) :args (_let_68 false _let_40 false _let_75)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 9)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_64)) :args ((or _let_42 _let_60))) _let_66 :args (_let_42 true _let_60)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 8)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_64)) :args ((or _let_44 _let_60))) _let_66 :args (_let_44 true _let_60)))) (let ((_let_82 (or _let_45 _let_43 _let_69 _let_24))) (let ((_let_83 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_84 (not _let_25))) (let ((_let_85 (or _let_52 _let_51 _let_49 _let_47 _let_33 _let_30 _let_84 _let_83))) (let ((_let_86 (forall ((A $$unsorted) (BOUND_VARIABLE_1849 $$unsorted) (BOUND_VARIABLE_1847 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m1_group_2 BOUND_VARIABLE_1847 A)) (not (tptp.m1_group_2 BOUND_VARIABLE_1849 A)) (not (tptp.r1_tarski (tptp.u1_struct_0 BOUND_VARIABLE_1847) (tptp.u1_struct_0 BOUND_VARIABLE_1849))) (tptp.m1_group_2 BOUND_VARIABLE_1847 BOUND_VARIABLE_1849))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (= _let_27 _let_83))) (let ((_let_89 (not _let_83))) (let ((_let_90 (or _let_52 _let_51 _let_49 _let_47 _let_30 _let_88))) (let ((_let_91 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1775 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m1_group_2 B A)) (= (tptp.m1_group_6 BOUND_VARIABLE_1775 A B) (tptp.m1_group_2 BOUND_VARIABLE_1775 B)))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_91))) (let ((_let_94 ((tptp.m1_group_6 BOUND_VARIABLE_1775 A B)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 17)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_64)) :args ((or _let_29 _let_60))) _let_66 :args (_let_29 true _let_60)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 7)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_64)) :args ((or _let_46 _let_60))) _let_66 :args (_let_46 true _let_60)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 6)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_64)) :args ((or _let_48 _let_60))) _let_66 :args (_let_48 true _let_60)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 5)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_64)) :args ((or _let_50 _let_60))) _let_66 :args (_let_50 true _let_60)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_60 4)) _let_66 :args ((not _let_52) true _let_60)))) (let ((_let_100 (tptp.r1_tarski _let_12 _let_18))) (let ((_let_101 (not _let_100))) (let ((_let_102 (tptp.v1_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101 _let_26))) (let ((_let_105 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.v1_relat_1 C)) (not (tptp.r1_tarski A B)) (tptp.r1_tarski (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B)))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (and _let_100 (= (tptp.u1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.k1_realset1 (tptp.u1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_12))))) (let ((_let_108 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_109 (= _let_108 _let_107))) (let ((_let_110 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_113 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_70 false _let_71)) :args (_let_22 false _let_44 false _let_42 false _let_68 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 18)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_20))) :args _let_64)) :args ((or _let_20 _let_60))) _let_66 :args (_let_20 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 16)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_16))) :args _let_64)) :args ((or _let_16 _let_60))) _let_66 :args (_let_16 true _let_60)) :args (false false _let_26 true _let_25 false _let_24 false _let_22 false _let_20 false _let_16)) :args (_let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_1 (tptp.v1_partfun1 C A B)) (and _let_1 (tptp.v1_funct_2 C A B)))))) _let_9 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (not (tptp.v1_xboole_0 C)) (tptp.v1_partfun1 C A B) _let_1)))))))) _let_8 true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (tptp.m1_subset_1 (tptp.k2_funct_2 A B C D) (tptp.k1_zfmisc_1 B)))) true true (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (tptp.l1_struct_0 A))) true _let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_6 C A B) (tptp.m1_group_2 C A))))) true true _let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_group_1 A))) (=> (tptp.l1_group_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) true (exists ((A $$unsorted)) (tptp.l1_group_1 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (tptp.m1_group_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (exists ((C $$unsorted)) (tptp.m1_group_6 C A B)))) (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$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 $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B)))) (forall ((A $$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 $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)))) (forall ((A $$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 $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) _let_5 _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$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 $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.40/0.63  )
% 0.40/0.63  % SZS output end Proof for GRP637+1
% 0.40/0.63  % cvc5---1.0.5 exiting
% 0.40/0.63  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------