%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP643+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 00:26:51 EDT 2023

% Result   : Theorem 0.19s 0.57s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP643+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 22:18:23 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.57  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6I7SMPvRYz/cvc5---1.0.5_17260.p...
% 0.19/0.57  ------- get file name : TPTP file name is GRP643+1
% 0.19/0.57  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17260.smt2...
% 0.19/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.57  % SZS status Theorem for GRP643+1
% 0.19/0.57  % SZS output start Proof for GRP643+1
% 0.19/0.57  (
% 0.19/0.57  (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_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (and (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D C)) (tptp.r1_rlvect_1 D (tptp.k1_group_1 A B C))))))))))))) (let ((_let_2 (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 (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k1_funct_1 (tptp.k1_latsubgr A) B)) (tptp.r1_rlvect_1 B C)))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_group_1 A B C) _let_1)))))) (let ((_let_4 (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 (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k1_latsubgr A) B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden (tptp.k1_group_1 A C D) _let_1)))))))))))))) (let ((_let_5 (forall ((A $$unsorted) (BOUND_VARIABLE_1693 $$unsorted) (BOUND_VARIABLE_1691 $$unsorted) (BOUND_VARIABLE_1689 $$unsorted)) (let ((_let_1 (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)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1689 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1693 _let_1)) (not (tptp.m1_group_2 BOUND_VARIABLE_1691 A)) (not (tptp.r1_rlvect_1 BOUND_VARIABLE_1691 BOUND_VARIABLE_1689)) (not (tptp.r1_rlvect_1 BOUND_VARIABLE_1691 BOUND_VARIABLE_1693)) (tptp.r1_rlvect_1 BOUND_VARIABLE_1691 (tptp.k1_group_1 A BOUND_VARIABLE_1689 BOUND_VARIABLE_1693))))))) (let ((_let_6 (tptp.k1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (tptp.r1_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6))) (let ((_let_8 (tptp.r1_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.r1_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_14))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (or _let_25 _let_24 _let_22 _let_20 _let_18 _let_16 _let_13 _let_11 _let_9 _let_7))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.k1_funct_1 (tptp.k1_latsubgr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_30 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_29))) (let ((_let_31 (= _let_30 _let_8))) (let ((_let_32 (tptp.v1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_25 _let_24 _let_22 _let_20 _let_33 _let_13 _let_16 _let_31))) (let ((_let_35 (forall ((A $$unsorted) (BOUND_VARIABLE_1593 $$unsorted) (BOUND_VARIABLE_1591 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.v1_group_1 BOUND_VARIABLE_1591)) (not (tptp.m1_group_2 BOUND_VARIABLE_1591 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1593 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden BOUND_VARIABLE_1593 (tptp.k1_funct_1 (tptp.k1_latsubgr A) BOUND_VARIABLE_1591)) (tptp.r1_rlvect_1 BOUND_VARIABLE_1591 BOUND_VARIABLE_1593)))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 ((tptp.r2_hidden BOUND_VARIABLE_1593 (tptp.k1_funct_1 (tptp.k1_latsubgr A) BOUND_VARIABLE_1591))))) (let ((_let_39 (tptp.r2_hidden _let_6 _let_29))) (let ((_let_40 (not _let_30))) (let ((_let_41 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_29))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_25 _let_24 _let_22 _let_20 _let_33 _let_13 _let_18 _let_42 _let_16 _let_40 _let_39))) (let ((_let_44 (forall ((A $$unsorted) (BOUND_VARIABLE_1224 $$unsorted) (BOUND_VARIABLE_1222 $$unsorted) (BOUND_VARIABLE_1220 $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k1_latsubgr A) BOUND_VARIABLE_1220))) (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)) (not (tptp.v1_group_1 BOUND_VARIABLE_1220)) (not (tptp.m1_group_2 BOUND_VARIABLE_1220 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1224 _let_2)) (not (tptp.r2_hidden BOUND_VARIABLE_1224 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1222 _let_2)) (not (tptp.r2_hidden BOUND_VARIABLE_1222 _let_1)) (tptp.r2_hidden (tptp.k1_group_1 A BOUND_VARIABLE_1224 BOUND_VARIABLE_1222) _let_1))))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (or))) (let ((_let_48 (not _let_44))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_46) :args (_let_48))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_44))) (REFL :args (_let_45)) :args _let_47)) _let_46 :args (_let_45 true _let_44)))) (let ((_let_50 (REFL :args (_let_43)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 8)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_47)) :args ((or _let_15 _let_43))) _let_49 :args (_let_15 true _let_43)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 5)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_47)) :args ((or _let_12 _let_43))) _let_49 :args (_let_12 true _let_43)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 4)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_47)) :args ((or _let_32 _let_43))) _let_49 :args (_let_32 true _let_43)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 3)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_47)) :args ((or _let_19 _let_43))) _let_49 :args (_let_19 true _let_43)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 2)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_47)) :args ((or _let_21 _let_43))) _let_49 :args (_let_21 true _let_43)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 1)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_47)) :args ((or _let_23 _let_43))) _let_49 :args (_let_23 true _let_43)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 0)) _let_49 :args ((not _let_25) true _let_43)))) (let ((_let_58 (= _let_41 _let_10))) (let ((_let_59 (or _let_25 _let_24 _let_22 _let_20 _let_33 _let_13 _let_18 _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 6)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_47)) :args ((or _let_17 _let_43))) _let_49 :args (_let_17 true _let_43)))) (let ((_let_61 (= _let_39 _let_7))) (let ((_let_62 (not _let_7))) (let ((_let_63 (tptp.m1_subset_1 _let_6 _let_14))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_25 _let_24 _let_22 _let_20 _let_33 _let_13 _let_64 _let_61))) (let ((_let_66 (or _let_25 _let_20 _let_18 _let_16 _let_63))) (let ((_let_67 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l1_group_1 A)) (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_group_1 A B C) _let_1)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r1_rlvect_1 BOUND_VARIABLE_1691 (tptp.k1_group_1 A BOUND_VARIABLE_1689 BOUND_VARIABLE_1693)) true))))) :args (_let_5))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_24 _let_22 _let_20 _let_13 _let_18 _let_16 _let_7 _let_11 _let_9 _let_28))) _let_57 _let_56 _let_55 _let_54 _let_52 _let_60 _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_61)) :args ((or _let_39 _let_62 (not _let_61)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 10)) _let_49 :args ((not _let_39) true _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_25 _let_24 _let_22 _let_20 _let_33 _let_13 _let_64 _let_61 (not _let_65)))) _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_25 _let_20 _let_18 _let_16 _let_63 (not _let_66)))) _let_57 _let_54 _let_60 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_group_1 A B C)))) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_63 true _let_25 false _let_19 false _let_17 false _let_15 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_37)) _let_36 :args (_let_65 false _let_35)) :args (_let_61 true _let_25 false _let_23 false _let_21 false _let_19 false _let_32 false _let_12 false _let_63 false _let_65)) :args (_let_62 true _let_39 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or _let_42 _let_10 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 7)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_47)) :args ((or _let_41 _let_43))) _let_49 :args (_let_41 true _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_25 _let_24 _let_22 _let_20 _let_33 _let_13 _let_18 _let_58 (not _let_59)))) _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_37)) _let_36 :args (_let_59 false _let_35)) :args (_let_58 true _let_25 false _let_23 false _let_21 false _let_19 false _let_32 false _let_12 false _let_17 false _let_59)) :args (_let_10 false _let_41 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_31)) :args ((or _let_40 _let_8 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 9)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_30))) :args _let_47)) :args ((or _let_30 _let_43))) _let_49 :args (_let_30 true _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_25 _let_24 _let_22 _let_20 _let_33 _let_13 _let_16 _let_31 (not _let_34)))) _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_37)) _let_36 :args (_let_34 false _let_35)) :args (_let_31 true _let_25 false _let_23 false _let_21 false _let_19 false _let_32 false _let_12 false _let_15 false _let_34)) :args (_let_8 false _let_30 false _let_31)) :args (_let_28 true _let_25 false _let_23 false _let_21 false _let_19 false _let_12 false _let_17 false _let_15 true _let_7 false _let_10 false _let_8)) _let_27 :args (false true _let_26 false _let_5)) :args (_let_4 (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (=> (tptp.v1_group_1 A) (= A (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))))) (forall ((A $$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)))))) (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 $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$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 $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (not (tptp.v1_xboole_0 C)) (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_group_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (tptp.v1_group_1 _let_1) (tptp.l1_group_1 _let_1)))))) true _let_3 true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_group_3 A))) (let ((_let_3 (tptp.k1_latsubgr A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_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 true true (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (tptp.l1_struct_0 A))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)))))) true true (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_group_1 A))) (=> (tptp.l1_group_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) true (exists ((A $$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 $$unsorted)) (exists ((C $$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.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (not (tptp.v1_xboole_0 (tptp.k1_group_3 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 $$unsorted) (B $$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)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_group_1 A B) (tptp.g1_group_1 C D)) (and (= A C) (= B D))))))) (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 $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$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_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 $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) _let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.58  )
% 0.19/0.58  % SZS output end Proof for GRP643+1
% 0.19/0.58  % cvc5---1.0.5 exiting
% 0.19/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------