TSTP Solution File: GRP632+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP632+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 08:39:41 EDT 2022

% Result   : Theorem 24.62s 8.18s
% Output   : CNFRefutation 24.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   70 (  32 unt;  20 nHn;  60 RR)
%            Number of literals    :  215 (  26 equ; 131 neg)
%            Maximal clause size   :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-5 aty)
%            Number of variables   :   91 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_274,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/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_274) ).

cnf(i_0_760,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/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_760) ).

cnf(i_0_2254,plain,
    ( v3_struct_0(X1)
    | m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(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),k4_autgroup(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_2254) ).

cnf(i_0_4062,negated_conjecture,
    m2_fraenkel(esk650_0,u1_struct_0(esk649_0),u1_struct_0(esk649_0),k4_autgroup(esk649_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_4062) ).

cnf(i_0_4064,negated_conjecture,
    v4_group_1(esk649_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_4064) ).

cnf(i_0_4065,negated_conjecture,
    v3_group_1(esk649_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_4065) ).

cnf(i_0_4066,negated_conjecture,
    v1_group_1(esk649_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_4066) ).

cnf(i_0_4063,negated_conjecture,
    l1_group_1(esk649_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_4063) ).

cnf(i_0_4067,negated_conjecture,
    ~ v3_struct_0(esk649_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_4067) ).

cnf(i_0_2130,plain,
    ( v1_funct_2(X1,X2,X3)
    | ~ v1_funct_1(X1)
    | ~ v1_partfun1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_2130) ).

cnf(i_0_900,plain,
    v1_partfun1(k6_relat_1(X1),X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_900) ).

cnf(i_0_899,plain,
    m2_relset_1(k6_relat_1(X1),X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_899) ).

cnf(i_0_1140,plain,
    v1_funct_1(k6_relat_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_1140) ).

cnf(i_0_301,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ r1_tarski(X1,k2_zfmisc_1(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_301) ).

cnf(i_0_3835,plain,
    r1_tarski(k6_relat_1(X1),k2_zfmisc_1(X1,X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_3835) ).

cnf(i_0_276,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/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_276) ).

cnf(i_0_277,plain,
    ( v1_funct_1(X1)
    | v3_struct_0(X2)
    | X3 != k1_autgroup(X2)
    | ~ l1_group_1(X2)
    | ~ v1_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_277) ).

cnf(i_0_1733,plain,
    ( k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | v1_xboole_0(X2)
    | ~ v1_funct_1(X5)
    | ~ v1_funct_1(X4)
    | ~ m1_relset_1(X5,X2,X3)
    | ~ m1_relset_1(X4,X1,X2)
    | ~ v1_funct_2(X5,X2,X3)
    | ~ v1_funct_2(X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_1733) ).

cnf(i_0_4557,plain,
    ( k5_relat_1(X1,k6_relat_1(X2)) = X1
    | ~ m2_relset_1(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_4557) ).

cnf(i_0_1742,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_1742) ).

cnf(i_0_4061,negated_conjecture,
    ( k7_funct_2(u1_struct_0(esk649_0),u1_struct_0(esk649_0),u1_struct_0(esk649_0),esk650_0,k6_autgroup(esk649_0,k2_group_1(esk649_0))) != esk650_0
    | k7_funct_2(u1_struct_0(esk649_0),u1_struct_0(esk649_0),u1_struct_0(esk649_0),k6_autgroup(esk649_0,k2_group_1(esk649_0)),esk650_0) != esk650_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_4061) ).

cnf(i_0_3507,plain,
    ( k6_autgroup(X1,k2_group_1(X1)) = k6_relat_1(u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_3507) ).

cnf(i_0_4529,plain,
    ( k5_relat_1(k6_relat_1(X1),X2) = X2
    | ~ m2_relset_1(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_4529) ).

cnf(i_0_305,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_305) ).

cnf(i_0_954,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qspkfdl/lgb.p',i_0_954) ).

cnf(c_0_4583,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_274 ).

cnf(c_0_4584,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_760 ).

cnf(c_0_4585,plain,
    ( v3_struct_0(X1)
    | m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(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),k4_autgroup(X1)) ),
    i_0_2254 ).

cnf(c_0_4586,negated_conjecture,
    m2_fraenkel(esk650_0,u1_struct_0(esk649_0),u1_struct_0(esk649_0),k4_autgroup(esk649_0)),
    i_0_4062 ).

cnf(c_0_4587,negated_conjecture,
    v4_group_1(esk649_0),
    i_0_4064 ).

cnf(c_0_4588,negated_conjecture,
    v3_group_1(esk649_0),
    i_0_4065 ).

cnf(c_0_4589,negated_conjecture,
    v1_group_1(esk649_0),
    i_0_4066 ).

cnf(c_0_4590,negated_conjecture,
    l1_group_1(esk649_0),
    i_0_4063 ).

cnf(c_0_4591,negated_conjecture,
    ~ v3_struct_0(esk649_0),
    i_0_4067 ).

cnf(c_0_4592,plain,
    ( v1_funct_2(X1,X2,X3)
    | ~ v1_funct_1(X1)
    | ~ v1_partfun1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_2130 ).

cnf(c_0_4593,plain,
    v1_partfun1(k6_relat_1(X1),X1,X1),
    i_0_900 ).

cnf(c_0_4594,plain,
    m2_relset_1(k6_relat_1(X1),X1,X1),
    i_0_899 ).

cnf(c_0_4595,plain,
    v1_funct_1(k6_relat_1(X1)),
    i_0_1140 ).

cnf(c_0_4596,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ r1_tarski(X1,k2_zfmisc_1(X2,X3)) ),
    i_0_301 ).

cnf(c_0_4597,plain,
    r1_tarski(k6_relat_1(X1),k2_zfmisc_1(X1,X1)),
    i_0_3835 ).

cnf(c_0_4598,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_276 ).

cnf(c_0_4599,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_4583]),c_0_4584]) ).

cnf(c_0_4600,negated_conjecture,
    m2_fraenkel(esk650_0,u1_struct_0(esk649_0),u1_struct_0(esk649_0),k1_autgroup(esk649_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_4585,c_0_4586]),c_0_4587]),c_0_4588]),c_0_4589]),c_0_4590])]),c_0_4591]) ).

cnf(c_0_4601,plain,
    ( v1_funct_1(X1)
    | v3_struct_0(X2)
    | X3 != k1_autgroup(X2)
    | ~ l1_group_1(X2)
    | ~ v1_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3) ),
    i_0_277 ).

cnf(c_0_4602,plain,
    ( k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | v1_xboole_0(X2)
    | ~ v1_funct_1(X5)
    | ~ v1_funct_1(X4)
    | ~ m1_relset_1(X5,X2,X3)
    | ~ m1_relset_1(X4,X1,X2)
    | ~ v1_funct_2(X5,X2,X3)
    | ~ v1_funct_2(X4,X1,X2) ),
    i_0_1733 ).

cnf(c_0_4603,plain,
    v1_funct_2(k6_relat_1(X1),X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4592,c_0_4593]),c_0_4594]),c_0_4595])]) ).

cnf(c_0_4604,plain,
    m1_relset_1(k6_relat_1(X1),X1,X1),
    inference(spm,[status(thm)],[c_0_4596,c_0_4597]) ).

cnf(c_0_4605,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_4598]),c_0_4584]) ).

cnf(c_0_4606,plain,
    ( k5_relat_1(X1,k6_relat_1(X2)) = X1
    | ~ m2_relset_1(X1,X3,X2) ),
    i_0_4557 ).

cnf(c_0_4607,negated_conjecture,
    m2_relset_1(esk650_0,u1_struct_0(esk649_0),u1_struct_0(esk649_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_4599,c_0_4600]),c_0_4587]),c_0_4588]),c_0_4589]),c_0_4590])]),c_0_4591]) ).

cnf(c_0_4608,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_1742 ).

cnf(c_0_4609,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(X2)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_4601]),c_0_4584]) ).

cnf(c_0_4610,negated_conjecture,
    ( k7_funct_2(u1_struct_0(esk649_0),u1_struct_0(esk649_0),u1_struct_0(esk649_0),esk650_0,k6_autgroup(esk649_0,k2_group_1(esk649_0))) != esk650_0
    | k7_funct_2(u1_struct_0(esk649_0),u1_struct_0(esk649_0),u1_struct_0(esk649_0),k6_autgroup(esk649_0,k2_group_1(esk649_0)),esk650_0) != esk650_0 ),
    i_0_4061 ).

cnf(c_0_4611,plain,
    ( k6_autgroup(X1,k2_group_1(X1)) = k6_relat_1(u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    i_0_3507 ).

cnf(c_0_4612,plain,
    ( k7_funct_2(X1,X2,X2,X3,k6_relat_1(X2)) = k5_relat_1(X3,k6_relat_1(X2))
    | v1_xboole_0(X2)
    | ~ v1_funct_2(X3,X1,X2)
    | ~ m1_relset_1(X3,X1,X2)
    | ~ v1_funct_1(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4602,c_0_4603]),c_0_4604]),c_0_4595])]) ).

cnf(c_0_4613,negated_conjecture,
    v1_funct_2(esk650_0,u1_struct_0(esk649_0),u1_struct_0(esk649_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_4605,c_0_4600]),c_0_4587]),c_0_4588]),c_0_4589]),c_0_4590])]),c_0_4591]) ).

cnf(c_0_4614,plain,
    k5_relat_1(esk650_0,k6_relat_1(u1_struct_0(esk649_0))) = esk650_0,
    inference(spm,[status(thm)],[c_0_4606,c_0_4607]) ).

cnf(c_0_4615,plain,
    m1_relset_1(esk650_0,u1_struct_0(esk649_0),u1_struct_0(esk649_0)),
    inference(spm,[status(thm)],[c_0_4608,c_0_4607]) ).

cnf(c_0_4616,negated_conjecture,
    v1_funct_1(esk650_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_4609,c_0_4600]),c_0_4587]),c_0_4588]),c_0_4589]),c_0_4590])]),c_0_4591]) ).

cnf(c_0_4617,plain,
    ( k5_relat_1(k6_relat_1(X1),X2) = X2
    | ~ m2_relset_1(X2,X1,X3) ),
    i_0_4529 ).

cnf(c_0_4618,negated_conjecture,
    ( k7_funct_2(u1_struct_0(esk649_0),u1_struct_0(esk649_0),u1_struct_0(esk649_0),esk650_0,k6_relat_1(u1_struct_0(esk649_0))) != esk650_0
    | k7_funct_2(u1_struct_0(esk649_0),u1_struct_0(esk649_0),u1_struct_0(esk649_0),k6_relat_1(u1_struct_0(esk649_0)),esk650_0) != esk650_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_4610,c_0_4611]),c_0_4587]),c_0_4588]),c_0_4589]),c_0_4590])]),c_0_4591]) ).

cnf(c_0_4619,negated_conjecture,
    ( k7_funct_2(u1_struct_0(esk649_0),u1_struct_0(esk649_0),u1_struct_0(esk649_0),esk650_0,k6_relat_1(u1_struct_0(esk649_0))) = esk650_0
    | v1_xboole_0(u1_struct_0(esk649_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4612,c_0_4613]),c_0_4614]),c_0_4615]),c_0_4616])]) ).

cnf(c_0_4620,plain,
    ( k7_funct_2(X1,u1_struct_0(esk649_0),u1_struct_0(esk649_0),X2,esk650_0) = k5_relat_1(X2,esk650_0)
    | v1_xboole_0(u1_struct_0(esk649_0))
    | ~ v1_funct_2(X2,X1,u1_struct_0(esk649_0))
    | ~ m1_relset_1(X2,X1,u1_struct_0(esk649_0))
    | ~ v1_funct_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4602,c_0_4613]),c_0_4615]),c_0_4616])]) ).

cnf(c_0_4621,plain,
    k5_relat_1(k6_relat_1(u1_struct_0(esk649_0)),esk650_0) = esk650_0,
    inference(spm,[status(thm)],[c_0_4617,c_0_4607]) ).

cnf(c_0_4622,negated_conjecture,
    ( v1_xboole_0(u1_struct_0(esk649_0))
    | k7_funct_2(u1_struct_0(esk649_0),u1_struct_0(esk649_0),u1_struct_0(esk649_0),k6_relat_1(u1_struct_0(esk649_0)),esk650_0) != esk650_0 ),
    inference(spm,[status(thm)],[c_0_4618,c_0_4619]) ).

cnf(c_0_4623,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_305 ).

cnf(c_0_4624,plain,
    v1_xboole_0(u1_struct_0(esk649_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4620,c_0_4603]),c_0_4621]),c_0_4604]),c_0_4595])]),c_0_4622]) ).

cnf(c_0_4625,plain,
    ~ l1_struct_0(esk649_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4623,c_0_4624]),c_0_4591]) ).

cnf(c_0_4626,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    i_0_954 ).

cnf(c_0_4627,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4625,c_0_4626]),c_0_4590])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GRP632+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n006.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 00:03:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 1.33/1.52  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.33/1.52  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.33/1.52  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.33/1.52  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 24.62/8.18  # ENIGMATIC: Solved by autoschedule-lgb:
% 24.62/8.18  # No SInE strategy applied
% 24.62/8.18  # Trying AutoSched0 for 148 seconds
% 24.62/8.18  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 24.62/8.18  # and selection function SelectCQIPrecWNTNp.
% 24.62/8.18  #
% 24.62/8.18  # Preprocessing time       : 0.033 s
% 24.62/8.18  # Presaturation interreduction done
% 24.62/8.18  
% 24.62/8.18  # Proof found!
% 24.62/8.18  # SZS status Theorem
% 24.62/8.18  # SZS output start CNFRefutation
% See solution above
% 24.62/8.18  # Training examples: 0 positive, 0 negative
% 24.62/8.18  
% 24.62/8.18  # -------------------------------------------------
% 24.62/8.18  # User time                : 1.402 s
% 24.62/8.18  # System time              : 0.036 s
% 24.62/8.18  # Total time               : 1.437 s
% 24.62/8.18  # Maximum resident set size: 7128 pages
% 24.62/8.18  
%------------------------------------------------------------------------------