TSTP Solution File: GRP620+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP620+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 00:26:38 EDT 2023

% Result   : Theorem 0.21s 0.72s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP620+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 22:14:35 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.72  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wCV0Q2sY3i/cvc5---1.0.5_19614.p...
% 0.21/0.72  ------- get file name : TPTP file name is GRP620+1
% 0.21/0.72  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19614.smt2...
% 0.21/0.72  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.72  % SZS status Theorem for GRP620+1
% 0.21/0.72  % SZS output start Proof for GRP620+1
% 0.21/0.72  (
% 0.21/0.72  (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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (tptp.v4_group_6 C B A) (= D (tptp.k2_funct_1 C))) (tptp.v4_group_6 D A B)))))))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_funct_1 B))) (=> (tptp.m2_fraenkel B _let_1 _let_1 (tptp.k1_autgroup A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.v1_group_6 _let_2 A A) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_group_6 B A A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.r2_hidden B (tptp.k1_autgroup A)) (tptp.v4_group_6 B A A))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (forall ((D $$unsorted)) (= (tptp.m2_fraenkel D A B C) (tptp.m1_subset_1 D C))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A B C) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_fraenkel C A B) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C)))))) (let ((_let_10 (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (tptp.l1_struct_0 A))))) (let ((_let_11 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_fraenkel (tptp.k1_autgroup A) _let_1 _let_1)))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_fraenkel B _let_1 _let_1) (= (= B (tptp.k1_autgroup A)) (and (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel C _let_1 _let_1 B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v1_group_6 C A A) (tptp.m2_relset_1 C _let_1 _let_1))))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v1_group_6 C A A) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.r2_hidden C B) (and (tptp.v2_funct_1 C) (tptp.v3_group_6 C A A))))))))))))))) (let ((_let_13 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_autgroup A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_2 _let_2 _let_1) (tptp.m2_fraenkel (tptp.k2_funct_1 B) _let_2 _let_2 _let_1)))))))))) (let ((_let_14 (tptp.k1_autgroup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_16 (tptp.v4_group_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (tptp.v1_xboole_0 _let_14))) (let ((_let_19 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_15))) (let ((_let_22 (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_23 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (not _let_18))) (let ((_let_25 (and _let_24 (tptp.v1_fraenkel _let_14)))) (let ((_let_26 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (tptp.m1_fraenkel _let_14 _let_26 _let_26))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_25))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m1_fraenkel C A B)) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.v1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_41 (or _let_40 _let_39 _let_37 _let_35 _let_33 _let_27))) (let ((_let_42 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v1_group_1 A)) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (tptp.m1_fraenkel (tptp.k1_autgroup A) _let_1 _let_1)))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (tptp.k2_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_45 (tptp.m2_fraenkel _let_44 _let_26 _let_26 _let_14))) (let ((_let_46 (tptp.m2_fraenkel SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 _let_26 _let_14))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_40 _let_39 _let_37 _let_35 _let_33 _let_47 _let_45))) (let ((_let_49 (forall ((A $$unsorted) (BOUND_VARIABLE_1425 $$unsorted)) (let ((_let_1 (tptp.k1_autgroup A))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v1_group_1 A)) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m2_fraenkel BOUND_VARIABLE_1425 _let_2 _let_2 _let_1)) (tptp.m2_fraenkel (tptp.k2_funct_1 BOUND_VARIABLE_1425) _let_2 _let_2 _let_1))))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (or))) (let ((_let_53 (not _let_49))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_51) :args (_let_53))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_49))) (REFL :args (_let_50)) :args _let_52)) _let_51 :args (_let_50 true _let_49)))) (let ((_let_55 (REFL :args (_let_48)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 4)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_52)) :args ((or _let_32 _let_48))) _let_54 :args (_let_32 true _let_48)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 3)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_52)) :args ((or _let_34 _let_48))) _let_54 :args (_let_34 true _let_48)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 2)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_52)) :args ((or _let_36 _let_48))) _let_54 :args (_let_36 true _let_48)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_52)) :args ((or _let_38 _let_48))) _let_54 :args (_let_38 true _let_48)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 0)) _let_54 :args ((not _let_40) true _let_48)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_39 _let_37 _let_35 _let_33 _let_27 (not _let_41)))) _let_60 _let_59 _let_58 _let_57 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_42))) _let_43 :args (_let_41 false _let_42)) :args (_let_27 true _let_40 false _let_38 false _let_36 false _let_34 false _let_32 false _let_41)))) (let ((_let_62 (= _let_46 _let_19))) (let ((_let_63 (tptp.v1_xboole_0 _let_26))) (let ((_let_64 (or _let_63 _let_28 _let_62))) (let ((_let_65 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_2085 $$unsorted)) (or (tptp.v1_xboole_0 B) (not (tptp.m1_fraenkel C A B)) (= (tptp.m2_fraenkel BOUND_VARIABLE_2085 A B C) (tptp.m1_subset_1 BOUND_VARIABLE_2085 C)))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (_let_65))) (let ((_let_68 ((tptp.m2_fraenkel BOUND_VARIABLE_2085 A B C)))) (let ((_let_69 (not _let_63))) (let ((_let_70 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_40 _let_71 _let_69))) (let ((_let_73 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (or _let_33 _let_70))) (let ((_let_76 (forall ((A $$unsorted)) (or (not (tptp.l1_group_1 A)) (tptp.l1_struct_0 A))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_40 _let_71 _let_69 (not _let_72)))) _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_33 _let_70 (not _let_75)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_group_1 A) false))))) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_70 false _let_32 false _let_75)) (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_69 true _let_40 false _let_70 false _let_72)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 5)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_52)) :args ((or _let_46 _let_48))) _let_54 :args (_let_46 true _let_48)))) (let ((_let_80 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 _let_26))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.v1_group_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.v1_funct_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 _let_26))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.v1_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_40 _let_39 _let_37 _let_35 _let_33 _let_87 _let_85 _let_83 _let_81 _let_17))) (let ((_let_89 (forall ((A $$unsorted) (BOUND_VARIABLE_2130 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v1_group_1 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_2130)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2130 _let_1 _let_1)) (not (tptp.v1_group_6 BOUND_VARIABLE_2130 A A)) (not (tptp.m2_relset_1 BOUND_VARIABLE_2130 _let_1 _let_1)) (= (tptp.r2_hidden BOUND_VARIABLE_2130 (tptp.k1_autgroup A)) (tptp.v4_group_6 BOUND_VARIABLE_2130 A A))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_89))) (let ((_let_92 (tptp.u1_struct_0 A))) (let ((_let_93 ((not (= (tptp.v1_funct_2 BOUND_VARIABLE_2130 _let_92 _let_92) false))))) (let ((_let_94 (and _let_86 _let_84 _let_82 _let_80))) (let ((_let_95 (or _let_47 _let_94))) (let ((_let_96 (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m2_fraenkel C _let_1 _let_1 (tptp.k1_autgroup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v1_group_6 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.m2_relset_1 C _let_1 _let_1))))))) (let ((_let_97 (and _let_96 (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_1 _let_1)) (not (tptp.v1_group_6 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.m2_relset_1 C _let_1 _let_1)) (= (and (tptp.v2_funct_1 C) (tptp.v3_group_6 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.r2_hidden C (tptp.k1_autgroup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))))) (let ((_let_98 (or _let_40 _let_39 _let_37 _let_35 _let_33 _let_28 _let_97))) (let ((_let_99 (forall ((A $$unsorted) (BOUND_VARIABLE_1748 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v1_group_1 A)) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m1_fraenkel BOUND_VARIABLE_1748 _let_1 _let_1)) (= (= (tptp.k1_autgroup A) BOUND_VARIABLE_1748) (and (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m2_fraenkel C _let_1 _let_1 BOUND_VARIABLE_1748)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v1_group_6 C A A) (tptp.m2_relset_1 C _let_1 _let_1))))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_1 _let_1)) (not (tptp.v1_group_6 C A A)) (not (tptp.m2_relset_1 C _let_1 _let_1)) (= (and (tptp.v2_funct_1 C) (tptp.v3_group_6 C A A)) (tptp.r2_hidden C BOUND_VARIABLE_1748)))))))))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (tptp.u1_struct_0 A))) (let ((_let_102 (_let_96))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_94 2)) :args ((or _let_82 (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_47 _let_94 (not _let_95)))) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_102) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_fraenkel C _let_26 _let_26 _let_14) false))))) :args _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 0)) :args ((or _let_96 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_40 _let_39 _let_37 _let_35 _let_33 _let_28 _let_97 (not _let_98)))) _let_60 _let_59 _let_58 _let_57 _let_56 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_fraenkel BOUND_VARIABLE_1748 _let_101 _let_101) false))))) :args (_let_99)))) _let_100 :args (_let_98 false _let_99)) :args (_let_97 true _let_40 false _let_38 false _let_36 false _let_34 false _let_32 false _let_27 false _let_98)) :args (_let_96 false _let_97)) :args (_let_95 false _let_96)) :args (_let_94 false _let_46 false _let_95)) :args (_let_82 false _let_94)))) (let ((_let_104 (and _let_86 _let_84 _let_80))) (let ((_let_105 (or _let_63 _let_28 _let_47 _let_104))) (let ((_let_106 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_1819 $$unsorted)) (or (tptp.v1_xboole_0 B) (not (tptp.m1_fraenkel C A B)) (not (tptp.m2_fraenkel BOUND_VARIABLE_1819 A B C)) (and (tptp.v1_funct_1 BOUND_VARIABLE_1819) (tptp.v1_funct_2 BOUND_VARIABLE_1819 A B) (tptp.m2_relset_1 BOUND_VARIABLE_1819 A B)))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_47 _let_63 _let_28 _let_104 (not _let_105)))) _let_79 _let_78 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_26 _let_26 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_fraenkel BOUND_VARIABLE_1819 A B C) false))))) :args (_let_106))) _let_107 :args (_let_105 false _let_106)) :args (_let_104 false _let_46 true _let_63 false _let_27 false _let_105)))) (let ((_let_109 (not _let_104))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args 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_let_35 _let_33 _let_40 _let_37 _let_35 _let_33 _let_87 _let_85 _let_83 _let_81 _let_122 _let_121 _let_119 _let_117 _let_115 _let_113))) (let ((_let_124 (forall ((A $$unsorted) (BOUND_VARIABLE_2283 $$unsorted) (BOUND_VARIABLE_2281 $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 BOUND_VARIABLE_2283))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_2281))) (let ((_let_3 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (tptp.v3_struct_0 BOUND_VARIABLE_2281) (not (tptp.v3_group_1 BOUND_VARIABLE_2281)) (not (tptp.v4_group_1 BOUND_VARIABLE_2281)) (not (tptp.l1_group_1 BOUND_VARIABLE_2281)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2283)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2283 _let_2 _let_3)) (not (tptp.v1_group_6 BOUND_VARIABLE_2283 BOUND_VARIABLE_2281 A)) (not (tptp.m2_relset_1 BOUND_VARIABLE_2283 _let_2 _let_3)) (not (tptp.v4_group_6 BOUND_VARIABLE_2283 BOUND_VARIABLE_2281 A)) (not (tptp.v1_funct_1 _let_1)) (not 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false _let_131)))) (let ((_let_136 (not _let_130))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_130 3)) :args ((or _let_114 _let_136))) _let_135 :args (_let_114 false _let_130)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_130 2)) :args ((or _let_116 _let_136))) _let_135 :args (_let_116 false _let_130)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_130 1)) :args ((or _let_118 _let_136))) _let_135 :args (_let_118 false _let_130)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_130 0)) :args ((or _let_120 _let_136))) _let_135 :args (_let_120 false _let_130)))) (let ((_let_141 (tptp.m1_subset_1 _let_44 _let_14))) (let ((_let_142 (not _let_126))) (let ((_let_143 (or _let_142 _let_141))) (let ((_let_144 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.r2_hidden A B)) (tptp.m1_subset_1 A B))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (= _let_45 _let_141))) (let ((_let_147 (not _let_141))) (let ((_let_148 (or _let_63 _let_28 _let_146))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_17)) :args ((or _let_16 (not _let_15) (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_123))) :args ((or _let_40 _let_37 _let_35 _let_33 _let_87 _let_121 _let_85 _let_81 _let_119 _let_117 _let_115 _let_83 _let_113 _let_122 (not _let_123)))) _let_60 _let_58 _let_57 _let_56 _let_112 _let_140 _let_111 _let_110 _let_139 _let_138 _let_137 _let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_127)) :args ((or _let_126 _let_128 (not _let_127)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_141 _let_142 (not _let_143)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_146)) :args ((or _let_45 _let_147 (not _let_146)))) 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_let_19 (not _let_62)))) _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_28 _let_62 (not _let_64)))) _let_78 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_26 _let_26 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)) _let_66 :args (_let_64 false _let_65)) :args (_let_62 true _let_63 false _let_27 false _let_64)) :args (_let_19 false _let_46 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 0)) :args ((or _let_24 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_25 (not _let_29)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_26 _let_26 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_fraenkel C A B) false))))) :args (_let_30))) _let_31 :args (_let_29 false _let_30)) :args (_let_25 false _let_27 false _let_29)) :args (_let_24 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 A B) false))))) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_15 false _let_19 true _let_18 false _let_21)) :args (false true _let_16 false _let_17 false _let_15)) :args (_let_13 (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 $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v3_group_1 A)) (and _let_1 (tptp.v2_group_1 A)))))) (forall ((A $$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))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (forall ((A $$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)) (=> (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)) (= (tptp.v2_group_6 C A B) (tptp.v2_funct_1 C)))))))))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v4_group_6 C A B) (and (tptp.v3_group_6 C A B) (tptp.v2_group_6 C A B))))))))))) _let_12 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_group_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (tptp.v1_group_1 _let_1) (tptp.l1_group_1 _let_1)))))) _let_11 true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) true _let_10 true _let_9 true true _let_8 (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 $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_fraenkel C A B))) (forall ((A $$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) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (exists ((D $$unsorted)) (tptp.m2_fraenkel D A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_group_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1)))))) _let_7 (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$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 $$unsorted)) (=> (= (tptp.g1_group_1 A B) (tptp.g1_group_1 C D)) (and (= A C) (= B D))))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_fraenkel A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B)))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (tptp.v1_group_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (not (tptp.v1_xboole_0 C)) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v1_group_6 C A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 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 $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) _let_6 (forall ((A $$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_5 _let_4 (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 $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) _let_3 (forall ((A $$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_2 (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.72  )
% 0.21/0.72  % SZS output end Proof for GRP620+1
% 0.21/0.72  % cvc5---1.0.5 exiting
% 0.21/0.73  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------