TSTP Solution File: GRP632+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP632+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 35.64s 7.85s
% Output   : CNFRefutation 35.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   29
% Syntax   : Number of clauses     :   86 (  31 unt;  27 nHn;  81 RR)
%            Number of literals    :  276 (  31 equ; 169 neg)
%            Maximal clause size   :    9 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-4 aty)
%            Number of functors    :   13 (  13 usr;   2 con; 0-5 aty)
%            Number of variables   :  102 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2019,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/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_2019) ).

cnf(i_0_3261,negated_conjecture,
    m2_fraenkel(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0),k4_autgroup(esk487_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3261) ).

cnf(i_0_3263,negated_conjecture,
    v4_group_1(esk487_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3263) ).

cnf(i_0_3264,negated_conjecture,
    v3_group_1(esk487_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3264) ).

cnf(i_0_3265,negated_conjecture,
    v1_group_1(esk487_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3265) ).

cnf(i_0_3262,negated_conjecture,
    l1_group_1(esk487_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3262) ).

cnf(i_0_3266,negated_conjecture,
    ~ v3_struct_0(esk487_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3266) ).

cnf(i_0_257,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-b5m30pi0/lgb.p',i_0_257) ).

cnf(i_0_770,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-b5m30pi0/lgb.p',i_0_770) ).

cnf(i_0_1323,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-b5m30pi0/lgb.p',i_0_1323) ).

cnf(i_0_1324,plain,
    ( k2_relat_1(X1) = k1_relat_1(X1)
    | 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-b5m30pi0/lgb.p',i_0_1324) ).

cnf(i_0_260,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-b5m30pi0/lgb.p',i_0_260) ).

cnf(i_0_1633,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_1633) ).

cnf(i_0_3740,plain,
    ( v1_funct_2(X1,k1_relat_1(X1),k2_relat_1(X1))
    | ~ v1_funct_1(X1)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3740) ).

cnf(i_0_308,plain,
    ( r1_tarski(X1,k2_zfmisc_1(X2,X3))
    | ~ m1_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_308) ).

cnf(i_0_307,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ r1_tarski(X1,k2_zfmisc_1(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_307) ).

cnf(i_0_3103,plain,
    r1_tarski(k2_group_1(k20_monoid_0(X1)),k2_zfmisc_1(X1,X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3103) ).

cnf(i_0_312,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_312) ).

cnf(i_0_929,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_929) ).

cnf(i_0_3760,plain,
    ( v1_relat_1(X1)
    | ~ v1_relat_1(X2)
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3760) ).

cnf(i_0_4848,plain,
    v1_relat_1(k2_zfmisc_1(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_4848) ).

cnf(i_0_1623,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/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_1623) ).

cnf(i_0_4022,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k2_group_1(k20_monoid_0(u1_struct_0(X1))),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_4022) ).

cnf(i_0_3646,plain,
    ( k5_relat_1(X1,k2_group_1(k20_monoid_0(X2))) = X1
    | ~ m2_relset_1(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3646) ).

cnf(i_0_4106,plain,
    ( v3_struct_0(X1)
    | m2_fraenkel(k2_group_1(k20_monoid_0(u1_struct_0(X1))),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) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_4106) ).

cnf(i_0_3260,negated_conjecture,
    ( k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),esk488_0,k6_autgroup(esk487_0,k2_group_1(esk487_0))) != esk488_0
    | k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),k6_autgroup(esk487_0,k2_group_1(esk487_0)),esk488_0) != esk488_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3260) ).

cnf(i_0_2840,plain,
    ( k6_autgroup(X1,k2_group_1(X1)) = k2_group_1(k20_monoid_0(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/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_2840) ).

cnf(i_0_3618,plain,
    ( k5_relat_1(k2_group_1(k20_monoid_0(X1)),X2) = X2
    | ~ m2_relset_1(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3618) ).

cnf(i_0_311,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_311) ).

cnf(c_0_4878,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_2019 ).

cnf(c_0_4879,negated_conjecture,
    m2_fraenkel(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0),k4_autgroup(esk487_0)),
    i_0_3261 ).

cnf(c_0_4880,negated_conjecture,
    v4_group_1(esk487_0),
    i_0_3263 ).

cnf(c_0_4881,negated_conjecture,
    v3_group_1(esk487_0),
    i_0_3264 ).

cnf(c_0_4882,negated_conjecture,
    v1_group_1(esk487_0),
    i_0_3265 ).

cnf(c_0_4883,negated_conjecture,
    l1_group_1(esk487_0),
    i_0_3262 ).

cnf(c_0_4884,negated_conjecture,
    ~ v3_struct_0(esk487_0),
    i_0_3266 ).

cnf(c_0_4885,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_257 ).

cnf(c_0_4886,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_770 ).

cnf(c_0_4887,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_1323 ).

cnf(c_0_4888,negated_conjecture,
    m2_fraenkel(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0),k1_autgroup(esk487_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_4878,c_0_4879]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).

cnf(c_0_4889,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_4885]),c_0_4886]) ).

cnf(c_0_4890,plain,
    ( k2_relat_1(X1) = k1_relat_1(X1)
    | 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_1324 ).

cnf(c_0_4891,plain,
    k1_relat_1(esk488_0) = u1_struct_0(esk487_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_4887,c_0_4888]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).

cnf(c_0_4892,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_260 ).

cnf(c_0_4893,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_1633 ).

cnf(c_0_4894,negated_conjecture,
    m2_relset_1(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_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_4889,c_0_4888]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).

cnf(c_0_4895,plain,
    ( v1_funct_2(X1,k1_relat_1(X1),k2_relat_1(X1))
    | ~ v1_funct_1(X1)
    | ~ v1_relat_1(X1) ),
    i_0_3740 ).

cnf(c_0_4896,plain,
    k2_relat_1(esk488_0) = u1_struct_0(esk487_0),
    inference(rw,[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_4890,c_0_4888]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]),c_0_4891]) ).

cnf(c_0_4897,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_4892]),c_0_4886]) ).

cnf(c_0_4898,plain,
    ( r1_tarski(X1,k2_zfmisc_1(X2,X3))
    | ~ m1_relset_1(X1,X2,X3) ),
    i_0_308 ).

cnf(c_0_4899,plain,
    m1_relset_1(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0)),
    inference(spm,[status(thm)],[c_0_4893,c_0_4894]) ).

cnf(c_0_4900,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ r1_tarski(X1,k2_zfmisc_1(X2,X3)) ),
    i_0_307 ).

cnf(c_0_4901,plain,
    r1_tarski(k2_group_1(k20_monoid_0(X1)),k2_zfmisc_1(X1,X1)),
    i_0_3103 ).

cnf(c_0_4902,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    i_0_312 ).

cnf(c_0_4903,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    i_0_929 ).

cnf(c_0_4904,plain,
    ( v1_funct_2(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0))
    | ~ v1_relat_1(esk488_0)
    | ~ v1_funct_1(esk488_0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4895,c_0_4896]),c_0_4891]) ).

cnf(c_0_4905,negated_conjecture,
    v1_funct_1(esk488_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_4897,c_0_4888]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).

cnf(c_0_4906,plain,
    ( v1_relat_1(X1)
    | ~ v1_relat_1(X2)
    | ~ r1_tarski(X1,X2) ),
    i_0_3760 ).

cnf(c_0_4907,plain,
    r1_tarski(esk488_0,k2_zfmisc_1(u1_struct_0(esk487_0),u1_struct_0(esk487_0))),
    inference(spm,[status(thm)],[c_0_4898,c_0_4899]) ).

cnf(c_0_4908,plain,
    v1_relat_1(k2_zfmisc_1(X1,X2)),
    i_0_4848 ).

cnf(c_0_4909,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_1623 ).

cnf(c_0_4910,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k2_group_1(k20_monoid_0(u1_struct_0(X1))),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    i_0_4022 ).

cnf(c_0_4911,plain,
    m1_relset_1(k2_group_1(k20_monoid_0(X1)),X1,X1),
    inference(spm,[status(thm)],[c_0_4900,c_0_4901]) ).

cnf(c_0_4912,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v3_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_4902,c_0_4903]) ).

cnf(c_0_4913,plain,
    ( v1_funct_2(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0))
    | ~ v1_relat_1(esk488_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4904,c_0_4905])]) ).

cnf(c_0_4914,plain,
    v1_relat_1(esk488_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4906,c_0_4907]),c_0_4908])]) ).

cnf(c_0_4915,plain,
    ( k5_relat_1(X1,k2_group_1(k20_monoid_0(X2))) = X1
    | ~ m2_relset_1(X1,X3,X2) ),
    i_0_3646 ).

cnf(c_0_4916,plain,
    ( k7_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2),X3,k2_group_1(k20_monoid_0(u1_struct_0(X2)))) = k5_relat_1(X3,k2_group_1(k20_monoid_0(u1_struct_0(X2))))
    | v1_xboole_0(u1_struct_0(X2))
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_funct_2(X3,X1,u1_struct_0(X2))
    | ~ m1_relset_1(X3,X1,u1_struct_0(X2))
    | ~ v1_funct_1(k2_group_1(k20_monoid_0(u1_struct_0(X2))))
    | ~ v1_funct_1(X3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4909,c_0_4910]),c_0_4911])]),c_0_4912]) ).

cnf(c_0_4917,plain,
    v1_funct_2(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4913,c_0_4914])]) ).

cnf(c_0_4918,plain,
    k5_relat_1(esk488_0,k2_group_1(k20_monoid_0(u1_struct_0(esk487_0)))) = esk488_0,
    inference(spm,[status(thm)],[c_0_4915,c_0_4894]) ).

cnf(c_0_4919,plain,
    ( v3_struct_0(X1)
    | m2_fraenkel(k2_group_1(k20_monoid_0(u1_struct_0(X1))),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) ),
    i_0_4106 ).

cnf(c_0_4920,negated_conjecture,
    ( k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),esk488_0,k6_autgroup(esk487_0,k2_group_1(esk487_0))) != esk488_0
    | k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),k6_autgroup(esk487_0,k2_group_1(esk487_0)),esk488_0) != esk488_0 ),
    i_0_3260 ).

cnf(c_0_4921,plain,
    ( k6_autgroup(X1,k2_group_1(X1)) = k2_group_1(k20_monoid_0(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_2840 ).

cnf(c_0_4922,plain,
    ( k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),esk488_0,k2_group_1(k20_monoid_0(u1_struct_0(esk487_0)))) = esk488_0
    | v1_xboole_0(u1_struct_0(esk487_0))
    | ~ v1_funct_1(k2_group_1(k20_monoid_0(u1_struct_0(esk487_0)))) ),
    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(spm,[status(thm)],[c_0_4916,c_0_4917]),c_0_4918]),c_0_4880]),c_0_4881]),c_0_4883]),c_0_4899]),c_0_4905])]) ).

cnf(c_0_4923,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k2_group_1(k20_monoid_0(u1_struct_0(X1))))
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ l1_group_1(X1) ),
    inference(spm,[status(thm)],[c_0_4897,c_0_4919]) ).

cnf(c_0_4924,plain,
    ( k5_relat_1(k2_group_1(k20_monoid_0(X1)),X2) = X2
    | ~ m2_relset_1(X2,X1,X3) ),
    i_0_3618 ).

cnf(c_0_4925,negated_conjecture,
    ( k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),esk488_0,k2_group_1(k20_monoid_0(u1_struct_0(esk487_0)))) != esk488_0
    | k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),k2_group_1(k20_monoid_0(u1_struct_0(esk487_0))),esk488_0) != esk488_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_4920,c_0_4921]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).

cnf(c_0_4926,plain,
    ( k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),esk488_0,k2_group_1(k20_monoid_0(u1_struct_0(esk487_0)))) = esk488_0
    | v1_xboole_0(u1_struct_0(esk487_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_4922,c_0_4923]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).

cnf(c_0_4927,plain,
    ( k7_funct_2(X1,u1_struct_0(esk487_0),u1_struct_0(esk487_0),X2,esk488_0) = k5_relat_1(X2,esk488_0)
    | v1_xboole_0(u1_struct_0(esk487_0))
    | ~ v1_funct_2(X2,X1,u1_struct_0(esk487_0))
    | ~ m1_relset_1(X2,X1,u1_struct_0(esk487_0))
    | ~ v1_funct_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4909,c_0_4917]),c_0_4899]),c_0_4905])]) ).

cnf(c_0_4928,plain,
    k5_relat_1(k2_group_1(k20_monoid_0(u1_struct_0(esk487_0))),esk488_0) = esk488_0,
    inference(spm,[status(thm)],[c_0_4924,c_0_4894]) ).

cnf(c_0_4929,negated_conjecture,
    ( v1_xboole_0(u1_struct_0(esk487_0))
    | k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),k2_group_1(k20_monoid_0(u1_struct_0(esk487_0))),esk488_0) != esk488_0 ),
    inference(spm,[status(thm)],[c_0_4925,c_0_4926]) ).

cnf(c_0_4930,plain,
    ( v1_xboole_0(u1_struct_0(esk487_0))
    | ~ v1_funct_1(k2_group_1(k20_monoid_0(u1_struct_0(esk487_0)))) ),
    inference(csr,[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4927,c_0_4910]),c_0_4928]),c_0_4911]),c_0_4880]),c_0_4881]),c_0_4883])]),c_0_4884]),c_0_4929]) ).

cnf(c_0_4931,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_311 ).

cnf(c_0_4932,plain,
    v1_xboole_0(u1_struct_0(esk487_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_4930,c_0_4923]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).

cnf(c_0_4933,plain,
    ~ l1_struct_0(esk487_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4931,c_0_4932]),c_0_4884]) ).

cnf(c_0_4934,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4933,c_0_4903]),c_0_4883])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP632+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n011.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 : Mon Jun 13 22:02:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.69/0.88  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.88  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.69/0.88  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.69/0.88  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 35.64/7.85  # ENIGMATIC: Solved by autoschedule-lgb:
% 35.64/7.85  # No SInE strategy applied
% 35.64/7.85  # Trying AutoSched0 for 149 seconds
% 35.64/7.85  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 35.64/7.85  # and selection function SelectCQIPrecWNTNp.
% 35.64/7.85  #
% 35.64/7.85  # Preprocessing time       : 0.019 s
% 35.64/7.85  # Presaturation interreduction done
% 35.64/7.85  
% 35.64/7.85  # Proof found!
% 35.64/7.85  # SZS status Theorem
% 35.64/7.85  # SZS output start CNFRefutation
% See solution above
% 35.64/7.85  # Training examples: 0 positive, 0 negative
% 35.64/7.85  
% 35.64/7.85  # -------------------------------------------------
% 35.64/7.85  # User time                : 3.058 s
% 35.64/7.85  # System time              : 0.082 s
% 35.64/7.85  # Total time               : 3.140 s
% 35.64/7.85  # Maximum resident set size: 7124 pages
% 35.64/7.85  
%------------------------------------------------------------------------------