%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP642+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 00:26:50 EDT 2023

% Result   : Theorem 0.38s 0.62s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GRP642+1 : TPTP v8.1.2. Released v3.4.0.
% 0.04/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 28 21:59:20 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.62  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.rjas547g1i/cvc5---1.0.5_2681.p...
% 0.38/0.62  ------- get file name : TPTP file name is GRP642+1
% 0.38/0.62  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2681.smt2...
% 0.38/0.62  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.38/0.62  % SZS status Theorem for GRP642+1
% 0.38/0.62  % SZS output start Proof for GRP642+1
% 0.38/0.62  (
% 0.38/0.62  (let ((_let_1 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (tptp.l1_struct_0 A))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_group_3 A))) (let ((_let_3 (tptp.k1_latsubgr A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_6 (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_group_3 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k1_latsubgr A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.k1_funct_1 B C) (tptp.u1_struct_0 C))))))))))))) (let ((_let_7 (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)) (not (= (tptp.k1_funct_1 (tptp.k1_latsubgr A) B) tptp.k1_xboole_0))))))))) (let ((_let_8 (tptp.k1_latsubgr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.k1_funct_1 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (= tptp.k1_xboole_0 _let_9))) (let ((_let_11 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.v1_xboole_0 _let_11))) (let ((_let_13 (= _let_9 _let_11))) (let ((_let_14 (ASSUME :args (_let_1)))) (let ((_let_15 (not _let_10))) (let ((_let_16 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.v1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (or _let_26 _let_25 _let_23 _let_21 _let_19 _let_17 _let_15))) (let ((_let_28 (forall ((A $$unsorted) (BOUND_VARIABLE_1113 $$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_1113)) (not (tptp.m1_group_2 BOUND_VARIABLE_1113 A)) (not (= tptp.k1_xboole_0 (tptp.k1_funct_1 (tptp.k1_latsubgr A) BOUND_VARIABLE_1113))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (not _let_28))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_30) :args (_let_32))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_31)) _let_30 :args (_let_29 true _let_28)))) (let ((_let_34 (REFL :args (_let_27)))) (let ((_let_35 (not _let_12))) (let ((_let_36 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_39 (or _let_38 _let_37 _let_35))) (let ((_let_40 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_36))) (let ((_let_45 (forall ((A $$unsorted)) (or (not (tptp.l1_group_1 A)) (tptp.l1_struct_0 A))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (not _let_38))) (let ((_let_48 (and _let_47 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_42))) (let ((_let_49 (or _let_26 _let_25 _let_21 _let_17 _let_48))) (let ((_let_50 (forall ((A $$unsorted) (BOUND_VARIABLE_1298 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m1_group_2 BOUND_VARIABLE_1298 A)) (and (not (tptp.v3_struct_0 BOUND_VARIABLE_1298)) (tptp.v3_group_1 BOUND_VARIABLE_1298) (tptp.l1_group_1 BOUND_VARIABLE_1298)))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 5)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_31)) :args ((or _let_16 _let_27))) _let_33 :args (_let_16 true _let_27)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 3)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_31)) :args ((or _let_20 _let_27))) _let_33 :args (_let_20 true _let_27)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_31)) :args ((or _let_24 _let_27))) _let_33 :args (_let_24 true _let_27)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 0)) _let_33 :args ((not _let_26) true _let_27)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_26 _let_25 _let_21 _let_17 _let_48 (not _let_49)))) _let_55 _let_54 _let_53 _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_group_2 BOUND_VARIABLE_1298 A) false))))) :args (_let_50))) _let_51 :args (_let_49 false _let_50)) :args (_let_48 true _let_26 false _let_24 false _let_20 false _let_16 false _let_49)))) (let ((_let_57 (not _let_48))) (let ((_let_58 (or _let_19 _let_17 _let_13))) (let ((_let_59 (forall ((C $$unsorted)) (or (not (tptp.v1_group_1 C)) (not (tptp.m1_group_2 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (= (tptp.u1_struct_0 C) (tptp.k1_funct_1 (tptp.k1_latsubgr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) C)))))) (let ((_let_60 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_61 (tptp.k1_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_62 (tptp.m2_relset_1 _let_8 _let_61 _let_60))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.v1_funct_2 _let_8 _let_61 _let_60))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.v1_funct_1 _let_8))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_26 _let_25 _let_23 _let_21 _let_67 _let_65 _let_63 _let_59))) (let ((_let_69 (forall ((A $$unsorted) (BOUND_VARIABLE_1240 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_group_3 A))) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.v1_funct_1 BOUND_VARIABLE_1240)) (not (tptp.v1_funct_2 BOUND_VARIABLE_1240 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_1240 _let_2 _let_1)) (= (= (tptp.k1_latsubgr A) BOUND_VARIABLE_1240) (forall ((C $$unsorted)) (or (not (tptp.v1_group_1 C)) (not (tptp.m1_group_2 C A)) (= (tptp.u1_struct_0 C) (tptp.k1_funct_1 BOUND_VARIABLE_1240 C))))))))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (and _let_66 _let_64 _let_62))) (let ((_let_72 (or _let_26 _let_25 _let_23 _let_21 _let_71))) (let ((_let_73 (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))) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (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))))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 2)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_31)) :args ((or _let_22 _let_27))) _let_33 :args (_let_22 true _let_27)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_26 _let_25 _let_23 _let_21 _let_71 (not _let_72)))) _let_55 _let_54 _let_75 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_73))) _let_74 :args (_let_72 false _let_73)) :args (_let_71 true _let_26 false _let_24 false _let_22 false _let_20 false _let_72)))) (let ((_let_77 (not _let_71))) (let ((_let_78 (_let_59))) (let ((_let_79 (ASSUME :args (_let_10)))) (let ((_let_80 (ASSUME :args (_let_13)))) (let ((_let_81 (ASSUME :args (_let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_14 _let_79 _let_80 _let_81) :args (_let_1 _let_10 _let_35 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_81)) (CONG (TRANS (SYMM _let_80) (SYMM _let_79)) :args (APPLY_UF tptp.v1_xboole_0)) (TRUE_INTRO _let_14))) :args (_let_1 _let_10 _let_13 _let_35)) :args ((not (and _let_1 _let_10 _let_35 _let_13)) SB_LITERAL))) (CONG (REFL :args ((not _let_1))) (REFL :args (_let_15)) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_12))) (REFL :args ((not _let_13))) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_19 _let_17 _let_13 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 4)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_31)) :args ((or _let_18 _let_27))) _let_33 :args (_let_18 true _let_27)) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_78) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_group_2 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_78))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_26 _let_25 _let_23 _let_21 _let_67 _let_65 _let_63 _let_59 (not _let_68)))) _let_55 _let_54 _let_75 _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_66 _let_77))) _let_76 :args (_let_66 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 1)) :args ((or _let_64 _let_77))) _let_76 :args (_let_64 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 2)) :args ((or _let_62 _let_77))) _let_76 :args (_let_62 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_2 BOUND_VARIABLE_1240 (tptp.k1_group_3 A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) false))))) :args (_let_69)))) _let_70 :args (_let_68 false _let_69)) :args (_let_59 true _let_26 false _let_24 false _let_22 false _let_20 false _let_66 false _let_64 false _let_62 false _let_68)) :args (_let_58 false _let_59)) :args (_let_13 false _let_18 false _let_16 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_37 _let_35 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_48 0)) :args ((or _let_47 _let_57))) _let_56 :args (_let_47 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_36 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_48 2)) :args ((or _let_42 _let_57))) _let_56 :args (_let_42 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_group_1 A) false))))) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_36 false _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.u1_struct_0 A)))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_35 true _let_38 false _let_36 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 6)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_10))) :args _let_31)) :args ((or _let_10 _let_27))) _let_33 :args (_let_10 true _let_27)) _let_14 :args (false false _let_13 true _let_12 false _let_10 false _let_1)) :args (_let_7 (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)))))))) _let_6 (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 true _let_5 true true true _let_4 true _let_3 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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (not (tptp.v1_xboole_0 (tptp.k1_group_3 A))))) _let_2 (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) _let_1 (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)) (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)))) (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.38/0.62  )
% 0.38/0.62  % SZS output end Proof for GRP642+1
% 0.38/0.62  % cvc5---1.0.5 exiting
% 0.38/0.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------