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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP620+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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  : 600s
% DateTime : Sat Jul 16 08:39:31 EDT 2022

% Result   : Theorem 47.20s 9.01s
% Output   : CNFRefutation 47.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   38
% Syntax   : Number of clauses     :  120 (  38 unt;  42 nHn; 120 RR)
%            Number of literals    :  499 (  21 equ; 349 neg)
%            Maximal clause size   :   19 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  18 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :  151 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4790,negated_conjecture,
    ~ m2_fraenkel(k2_funct_1(esk610_0),u1_struct_0(esk609_0),u1_struct_0(esk609_0),k1_autgroup(esk609_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4790) ).

cnf(i_0_678,plain,
    ( k2_funct_1(X1) = k4_relat_1(X1)
    | ~ v1_funct_1(X1)
    | ~ v1_relat_1(X1)
    | ~ v2_funct_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_678) ).

cnf(i_0_4992,plain,
    ( X1 = X2
    | ~ v1_xboole_0(X2)
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4992) ).

cnf(i_0_928,plain,
    ( v1_xboole_0(k4_relat_1(X1))
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_928) ).

cnf(i_0_1143,plain,
    ( k4_relat_1(k4_relat_1(X1)) = X1
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_1143) ).

cnf(i_0_4791,negated_conjecture,
    m2_fraenkel(esk610_0,u1_struct_0(esk609_0),u1_struct_0(esk609_0),k1_autgroup(esk609_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4791) ).

cnf(i_0_19,plain,
    ( v1_funct_1(X1)
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_19) ).

cnf(i_0_45,plain,
    ( v2_funct_1(X1)
    | ~ v1_funct_1(X1)
    | ~ v1_xboole_0(X1)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_45) ).

cnf(i_0_29,plain,
    ( v1_relat_1(X1)
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_29) ).

cnf(i_0_242,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
    | X3 != k1_autgroup(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_242) ).

cnf(i_0_730,plain,
    ( v3_struct_0(X1)
    | m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_730) ).

cnf(i_0_4793,negated_conjecture,
    v4_group_1(esk609_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4793) ).

cnf(i_0_4794,negated_conjecture,
    v3_group_1(esk609_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4794) ).

cnf(i_0_4795,negated_conjecture,
    v1_group_1(esk609_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4795) ).

cnf(i_0_4792,negated_conjecture,
    l1_group_1(esk609_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4792) ).

cnf(i_0_4796,negated_conjecture,
    ~ v3_struct_0(esk609_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4796) ).

cnf(i_0_1149,plain,
    ( k1_relat_1(X1) = u1_struct_0(X2)
    | v3_struct_0(X2)
    | ~ l1_group_1(X2)
    | ~ v1_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_1149) ).

cnf(i_0_892,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_892) ).

cnf(i_0_309,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_309) ).

cnf(i_0_847,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_847) ).

cnf(i_0_1094,plain,
    ( v1_xboole_0(X1)
    | ~ v1_relat_1(X1)
    | ~ v1_xboole_0(k1_relat_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_1094) ).

cnf(i_0_30,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_30) ).

cnf(i_0_1429,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(X2,X3)
    | ~ m1_fraenkel(X3,X4,X1)
    | ~ m2_fraenkel(X2,X4,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_1429) ).

cnf(i_0_243,plain,
    ( v3_struct_0(X1)
    | v1_group_6(X2,X1,X1)
    | X3 != k1_autgroup(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_243) ).

cnf(i_0_245,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(X2)
    | X3 != k1_autgroup(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_245) ).

cnf(i_0_244,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
    | X3 != k1_autgroup(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_244) ).

cnf(i_0_381,plain,
    ( v1_xboole_0(X1)
    | ~ v1_xboole_0(X2)
    | ~ m1_subset_1(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_381) ).

cnf(i_0_4216,plain,
    ( v3_struct_0(X1)
    | v4_group_6(X2,X1,X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v1_funct_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v1_group_6(X2,X1,X1)
    | ~ r2_hidden(X2,k1_autgroup(X1))
    | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4216) ).

cnf(i_0_383,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_383) ).

cnf(i_0_4674,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v4_group_6(X3,X2,X1)
    | X3 != k2_funct_1(X4)
    | ~ l1_group_1(X1)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_1(X4)
    | ~ v3_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X1)
    | ~ v4_group_1(X2)
    | ~ v1_group_6(X3,X2,X1)
    | ~ v1_group_6(X4,X1,X2)
    | ~ v4_group_6(X4,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4674) ).

cnf(i_0_4529,plain,
    ( v3_struct_0(X1)
    | v1_group_6(k2_funct_1(X2),X1,X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4529) ).

cnf(i_0_4531,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k2_funct_1(X2))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4531) ).

cnf(i_0_4528,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4528) ).

cnf(i_0_4530,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4530) ).

cnf(i_0_241,plain,
    ( v3_struct_0(X1)
    | v2_funct_1(X2)
    | X3 != k1_autgroup(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v1_funct_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ r2_hidden(X2,X3)
    | ~ v1_group_6(X2,X1,X1)
    | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_241) ).

cnf(i_0_4215,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k1_autgroup(X1))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v1_funct_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v1_group_6(X2,X1,X1)
    | ~ v4_group_6(X2,X1,X1)
    | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_4215) ).

cnf(i_0_2485,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_2485) ).

cnf(i_0_1428,plain,
    ( v1_xboole_0(X1)
    | m2_fraenkel(X2,X3,X1,X4)
    | ~ m1_subset_1(X2,X4)
    | ~ m1_fraenkel(X4,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qtcnrgxn/lgb.p',i_0_1428) ).

cnf(c_0_5031,negated_conjecture,
    ~ m2_fraenkel(k2_funct_1(esk610_0),u1_struct_0(esk609_0),u1_struct_0(esk609_0),k1_autgroup(esk609_0)),
    i_0_4790 ).

cnf(c_0_5032,plain,
    ( k2_funct_1(X1) = k4_relat_1(X1)
    | ~ v1_funct_1(X1)
    | ~ v1_relat_1(X1)
    | ~ v2_funct_1(X1) ),
    i_0_678 ).

cnf(c_0_5033,negated_conjecture,
    ( ~ v2_funct_1(esk610_0)
    | ~ v1_relat_1(esk610_0)
    | ~ v1_funct_1(esk610_0)
    | ~ m2_fraenkel(k4_relat_1(esk610_0),u1_struct_0(esk609_0),u1_struct_0(esk609_0),k1_autgroup(esk609_0)) ),
    inference(spm,[status(thm)],[c_0_5031,c_0_5032]) ).

cnf(c_0_5034,plain,
    ( X1 = X2
    | ~ v1_xboole_0(X2)
    | ~ v1_xboole_0(X1) ),
    i_0_4992 ).

cnf(c_0_5035,plain,
    ( v1_xboole_0(k4_relat_1(X1))
    | ~ v1_xboole_0(X1) ),
    i_0_928 ).

cnf(c_0_5036,plain,
    ( k4_relat_1(k4_relat_1(X1)) = X1
    | ~ v1_relat_1(X1) ),
    i_0_1143 ).

cnf(c_0_5037,plain,
    ( ~ v2_funct_1(esk610_0)
    | ~ v1_relat_1(esk610_0)
    | ~ v1_xboole_0(k4_relat_1(esk610_0))
    | ~ v1_xboole_0(X1)
    | ~ v1_funct_1(esk610_0)
    | ~ m2_fraenkel(X1,u1_struct_0(esk609_0),u1_struct_0(esk609_0),k1_autgroup(esk609_0)) ),
    inference(spm,[status(thm)],[c_0_5033,c_0_5034]) ).

cnf(c_0_5038,negated_conjecture,
    m2_fraenkel(esk610_0,u1_struct_0(esk609_0),u1_struct_0(esk609_0),k1_autgroup(esk609_0)),
    i_0_4791 ).

cnf(c_0_5039,plain,
    ( v1_funct_1(X1)
    | ~ v1_xboole_0(X1) ),
    i_0_19 ).

cnf(c_0_5040,plain,
    ( v1_xboole_0(X1)
    | ~ v1_relat_1(X1)
    | ~ v1_xboole_0(k4_relat_1(X1)) ),
    inference(spm,[status(thm)],[c_0_5035,c_0_5036]) ).

cnf(c_0_5041,plain,
    ( v2_funct_1(X1)
    | ~ v1_funct_1(X1)
    | ~ v1_xboole_0(X1)
    | ~ v1_relat_1(X1) ),
    i_0_45 ).

cnf(c_0_5042,plain,
    ( v1_relat_1(X1)
    | ~ v1_xboole_0(X1) ),
    i_0_29 ).

cnf(c_0_5043,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
    | X3 != k1_autgroup(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
    i_0_242 ).

cnf(c_0_5044,plain,
    ( v3_struct_0(X1)
    | m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    i_0_730 ).

cnf(c_0_5045,negated_conjecture,
    ( ~ v2_funct_1(esk610_0)
    | ~ v1_relat_1(esk610_0)
    | ~ v1_xboole_0(k4_relat_1(esk610_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5037,c_0_5038]),c_0_5039]),c_0_5040]) ).

cnf(c_0_5046,plain,
    ( v2_funct_1(X1)
    | ~ v1_xboole_0(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_5041,c_0_5039]),c_0_5042]) ).

cnf(c_0_5047,plain,
    ( m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
    | v3_struct_0(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v1_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_5043]),c_0_5044]) ).

cnf(c_0_5048,negated_conjecture,
    v4_group_1(esk609_0),
    i_0_4793 ).

cnf(c_0_5049,negated_conjecture,
    v3_group_1(esk609_0),
    i_0_4794 ).

cnf(c_0_5050,negated_conjecture,
    v1_group_1(esk609_0),
    i_0_4795 ).

cnf(c_0_5051,negated_conjecture,
    l1_group_1(esk609_0),
    i_0_4792 ).

cnf(c_0_5052,negated_conjecture,
    ~ v3_struct_0(esk609_0),
    i_0_4796 ).

cnf(c_0_5053,plain,
    ( k1_relat_1(X1) = u1_struct_0(X2)
    | v3_struct_0(X2)
    | ~ l1_group_1(X2)
    | ~ v1_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
    i_0_1149 ).

cnf(c_0_5054,plain,
    ( ~ v1_relat_1(esk610_0)
    | ~ v1_xboole_0(k4_relat_1(esk610_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5045,c_0_5046]),c_0_5040]) ).

cnf(c_0_5055,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_892 ).

cnf(c_0_5056,negated_conjecture,
    m2_relset_1(esk610_0,u1_struct_0(esk609_0),u1_struct_0(esk609_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5047,c_0_5038]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051])]),c_0_5052]) ).

cnf(c_0_5057,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    i_0_309 ).

cnf(c_0_5058,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    i_0_847 ).

cnf(c_0_5059,plain,
    ( v1_xboole_0(X1)
    | ~ v1_relat_1(X1)
    | ~ v1_xboole_0(k1_relat_1(X1)) ),
    i_0_1094 ).

cnf(c_0_5060,negated_conjecture,
    k1_relat_1(esk610_0) = u1_struct_0(esk609_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5053,c_0_5038]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051])]),c_0_5052]) ).

cnf(c_0_5061,plain,
    ~ v1_xboole_0(esk610_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5054,c_0_5042]),c_0_5035]) ).

cnf(c_0_5062,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    i_0_30 ).

cnf(c_0_5063,plain,
    m1_subset_1(esk610_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk609_0),u1_struct_0(esk609_0)))),
    inference(spm,[status(thm)],[c_0_5055,c_0_5056]) ).

cnf(c_0_5064,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(X2,X3)
    | ~ m1_fraenkel(X3,X4,X1)
    | ~ m2_fraenkel(X2,X4,X1,X3) ),
    i_0_1429 ).

cnf(c_0_5065,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v3_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_5057,c_0_5058]) ).

cnf(c_0_5066,plain,
    ( ~ v1_relat_1(esk610_0)
    | ~ v1_xboole_0(u1_struct_0(esk609_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5059,c_0_5060]),c_0_5061]) ).

cnf(c_0_5067,plain,
    v1_relat_1(esk610_0),
    inference(spm,[status(thm)],[c_0_5062,c_0_5063]) ).

cnf(c_0_5068,plain,
    ( v3_struct_0(X1)
    | v1_group_6(X2,X1,X1)
    | X3 != k1_autgroup(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
    i_0_243 ).

cnf(c_0_5069,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(X2)
    | X3 != k1_autgroup(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
    i_0_245 ).

cnf(c_0_5070,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
    | X3 != k1_autgroup(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
    i_0_244 ).

cnf(c_0_5071,plain,
    ( m1_subset_1(X1,k1_autgroup(X2))
    | v1_xboole_0(u1_struct_0(X2))
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v1_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5064,c_0_5044]),c_0_5065]) ).

cnf(c_0_5072,plain,
    ~ v1_xboole_0(u1_struct_0(esk609_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5066,c_0_5067])]) ).

cnf(c_0_5073,plain,
    ( v1_group_6(X1,X2,X2)
    | v3_struct_0(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v1_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_5068]),c_0_5044]) ).

cnf(c_0_5074,plain,
    ( v1_funct_1(X1)
    | v3_struct_0(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v1_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_5069]),c_0_5044]) ).

cnf(c_0_5075,plain,
    ( v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
    | v3_struct_0(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v1_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_5070]),c_0_5044]) ).

cnf(c_0_5076,plain,
    ( v1_xboole_0(X1)
    | ~ v1_xboole_0(X2)
    | ~ m1_subset_1(X1,X2) ),
    i_0_381 ).

cnf(c_0_5077,negated_conjecture,
    m1_subset_1(esk610_0,k1_autgroup(esk609_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5071,c_0_5038]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051])]),c_0_5072]) ).

cnf(c_0_5078,plain,
    ( v3_struct_0(X1)
    | v4_group_6(X2,X1,X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v1_funct_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v1_group_6(X2,X1,X1)
    | ~ r2_hidden(X2,k1_autgroup(X1))
    | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
    i_0_4216 ).

cnf(c_0_5079,negated_conjecture,
    v1_group_6(esk610_0,esk609_0,esk609_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5073,c_0_5038]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051])]),c_0_5052]) ).

cnf(c_0_5080,negated_conjecture,
    v1_funct_1(esk610_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5074,c_0_5038]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051])]),c_0_5052]) ).

cnf(c_0_5081,negated_conjecture,
    v1_funct_2(esk610_0,u1_struct_0(esk609_0),u1_struct_0(esk609_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5075,c_0_5038]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051])]),c_0_5052]) ).

cnf(c_0_5082,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_383 ).

cnf(c_0_5083,plain,
    ~ v1_xboole_0(k1_autgroup(esk609_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5076,c_0_5077]),c_0_5061]) ).

cnf(c_0_5084,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v4_group_6(X3,X2,X1)
    | X3 != k2_funct_1(X4)
    | ~ l1_group_1(X1)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_1(X4)
    | ~ v3_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X1)
    | ~ v4_group_1(X2)
    | ~ v1_group_6(X3,X2,X1)
    | ~ v1_group_6(X4,X1,X2)
    | ~ v4_group_6(X4,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
    i_0_4674 ).

cnf(c_0_5085,plain,
    ( v4_group_6(esk610_0,esk609_0,esk609_0)
    | ~ r2_hidden(esk610_0,k1_autgroup(esk609_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5078,c_0_5079]),c_0_5080]),c_0_5056]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051]),c_0_5081])]),c_0_5052]) ).

cnf(c_0_5086,plain,
    r2_hidden(esk610_0,k1_autgroup(esk609_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5082,c_0_5077]),c_0_5083]) ).

cnf(c_0_5087,plain,
    ( v3_struct_0(X1)
    | v1_group_6(k2_funct_1(X2),X1,X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
    i_0_4529 ).

cnf(c_0_5088,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k2_funct_1(X2))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
    i_0_4531 ).

cnf(c_0_5089,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
    i_0_4528 ).

cnf(c_0_5090,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
    i_0_4530 ).

cnf(c_0_5091,plain,
    ( v4_group_6(k2_funct_1(X1),X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_6(X1,X3,X2)
    | ~ v1_group_6(k2_funct_1(X1),X2,X3)
    | ~ v1_group_6(X1,X3,X2)
    | ~ v1_funct_1(k2_funct_1(X1))
    | ~ v1_funct_1(X1)
    | ~ m2_relset_1(k2_funct_1(X1),u1_struct_0(X2),u1_struct_0(X3))
    | ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
    | ~ v4_group_1(X2)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X2)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ l1_group_1(X3)
    | ~ v1_funct_2(k2_funct_1(X1),u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2)) ),
    inference(er,[status(thm)],[c_0_5084]) ).

cnf(c_0_5092,plain,
    v4_group_6(esk610_0,esk609_0,esk609_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5085,c_0_5086])]) ).

cnf(c_0_5093,negated_conjecture,
    v1_group_6(k2_funct_1(esk610_0),esk609_0,esk609_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5087,c_0_5038]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051])]),c_0_5052]) ).

cnf(c_0_5094,negated_conjecture,
    v1_funct_1(k2_funct_1(esk610_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5088,c_0_5038]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051])]),c_0_5052]) ).

cnf(c_0_5095,negated_conjecture,
    m2_relset_1(k2_funct_1(esk610_0),u1_struct_0(esk609_0),u1_struct_0(esk609_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5089,c_0_5038]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051])]),c_0_5052]) ).

cnf(c_0_5096,negated_conjecture,
    v1_funct_2(k2_funct_1(esk610_0),u1_struct_0(esk609_0),u1_struct_0(esk609_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5090,c_0_5038]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051])]),c_0_5052]) ).

cnf(c_0_5097,plain,
    ( v3_struct_0(X1)
    | v2_funct_1(X2)
    | X3 != k1_autgroup(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v1_funct_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ r2_hidden(X2,X3)
    | ~ v1_group_6(X2,X1,X1)
    | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1)) ),
    i_0_241 ).

cnf(c_0_5098,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k1_autgroup(X1))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v1_funct_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v1_group_6(X2,X1,X1)
    | ~ v4_group_6(X2,X1,X1)
    | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
    | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
    i_0_4215 ).

cnf(c_0_5099,plain,
    v4_group_6(k2_funct_1(esk610_0),esk609_0,esk609_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5091,c_0_5092]),c_0_5093]),c_0_5079]),c_0_5094]),c_0_5080]),c_0_5095]),c_0_5056]),c_0_5048]),c_0_5049]),c_0_5051]),c_0_5096]),c_0_5081])]),c_0_5052]) ).

cnf(c_0_5100,plain,
    ( v2_funct_1(X1)
    | v3_struct_0(X2)
    | ~ r2_hidden(X1,k1_autgroup(X2))
    | ~ v1_group_6(X1,X2,X2)
    | ~ v1_funct_1(X1)
    | ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v1_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_5097]),c_0_5044]) ).

cnf(c_0_5101,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    i_0_2485 ).

cnf(c_0_5102,plain,
    r2_hidden(k2_funct_1(esk610_0),k1_autgroup(esk609_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5098,c_0_5099]),c_0_5093]),c_0_5094]),c_0_5095]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051]),c_0_5096])]),c_0_5052]) ).

cnf(c_0_5103,negated_conjecture,
    ( v2_funct_1(esk610_0)
    | ~ r2_hidden(esk610_0,k1_autgroup(esk609_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5100,c_0_5079]),c_0_5080]),c_0_5056]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051]),c_0_5081])]),c_0_5052]) ).

cnf(c_0_5104,negated_conjecture,
    ( ~ v2_funct_1(esk610_0)
    | ~ v1_relat_1(esk610_0)
    | ~ m2_fraenkel(k4_relat_1(esk610_0),u1_struct_0(esk609_0),u1_struct_0(esk609_0),k1_autgroup(esk609_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5033,c_0_5080])]) ).

cnf(c_0_5105,plain,
    ( v1_xboole_0(X1)
    | m2_fraenkel(X2,X3,X1,X4)
    | ~ m1_subset_1(X2,X4)
    | ~ m1_fraenkel(X4,X3,X1) ),
    i_0_1428 ).

cnf(c_0_5106,plain,
    m1_subset_1(k2_funct_1(esk610_0),k1_autgroup(esk609_0)),
    inference(spm,[status(thm)],[c_0_5101,c_0_5102]) ).

cnf(c_0_5107,negated_conjecture,
    v2_funct_1(esk610_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5103,c_0_5086])]) ).

cnf(c_0_5108,negated_conjecture,
    ( ~ v2_funct_1(esk610_0)
    | ~ m2_fraenkel(k4_relat_1(esk610_0),u1_struct_0(esk609_0),u1_struct_0(esk609_0),k1_autgroup(esk609_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5104,c_0_5067])]) ).

cnf(c_0_5109,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
    | ~ m1_subset_1(X2,k1_autgroup(X1))
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ l1_group_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5105,c_0_5044]),c_0_5065]) ).

cnf(c_0_5110,plain,
    m1_subset_1(k4_relat_1(esk610_0),k1_autgroup(esk609_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5106,c_0_5032]),c_0_5107]),c_0_5067]),c_0_5080])]) ).

cnf(c_0_5111,negated_conjecture,
    ~ m2_fraenkel(k4_relat_1(esk610_0),u1_struct_0(esk609_0),u1_struct_0(esk609_0),k1_autgroup(esk609_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5108,c_0_5107])]) ).

cnf(c_0_5112,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5109,c_0_5110]),c_0_5048]),c_0_5049]),c_0_5050]),c_0_5051])]),c_0_5072]),c_0_5111]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP620+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 10:28:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.67/0.87  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.87  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.67/0.87  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.67/0.87  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 47.20/9.01  # ENIGMATIC: Solved by autoschedule-lgb:
% 47.20/9.01  # No SInE strategy applied
% 47.20/9.01  # Trying AutoSched0 for 149 seconds
% 47.20/9.01  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 47.20/9.01  # and selection function SelectCQIPrecWNTNp.
% 47.20/9.01  #
% 47.20/9.01  # Preprocessing time       : 0.018 s
% 47.20/9.01  # Presaturation interreduction done
% 47.20/9.01  
% 47.20/9.01  # Proof found!
% 47.20/9.01  # SZS status Theorem
% 47.20/9.01  # SZS output start CNFRefutation
% See solution above
% 47.20/9.01  # Training examples: 0 positive, 0 negative
% 47.20/9.01  
% 47.20/9.01  # -------------------------------------------------
% 47.20/9.01  # User time                : 4.300 s
% 47.20/9.01  # System time              : 0.169 s
% 47.20/9.01  # Total time               : 4.469 s
% 47.20/9.01  # Maximum resident set size: 7120 pages
% 47.20/9.01  
%------------------------------------------------------------------------------