%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP641+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 08:39:48 EDT 2022
% Result : Theorem 6.33s 3.78s
% Output : CNFRefutation 6.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of clauses : 53 ( 23 unt; 19 nHn; 53 RR)
% Number of literals : 154 ( 9 equ; 91 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_719,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_719) ).
cnf(i_0_1997,negated_conjecture,
m1_group_2(esk355_0,esk354_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_1997) ).
cnf(i_0_2001,negated_conjecture,
v3_group_1(esk354_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_2001) ).
cnf(i_0_1999,negated_conjecture,
l1_group_1(esk354_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_1999) ).
cnf(i_0_2002,negated_conjecture,
~ v3_struct_0(esk354_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_2002) ).
cnf(i_0_721,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_struct_0(X2)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_721) ).
cnf(i_0_661,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_661) ).
cnf(i_0_2731,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X1,X2)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_2731) ).
cnf(i_0_261,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ r1_rlvect_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_261) ).
cnf(i_0_3857,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_3857) ).
cnf(i_0_714,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_714) ).
cnf(i_0_244,plain,
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_latsubgr(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v1_funct_1(X1)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ m1_group_2(X2,X3)
| ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_244) ).
cnf(i_0_652,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_652) ).
cnf(i_0_651,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_651) ).
cnf(i_0_650,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_650) ).
cnf(i_0_349,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_349) ).
cnf(i_0_3083,plain,
( k2_group_1(X1) = k2_group_1(X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_3083) ).
cnf(i_0_2000,negated_conjecture,
v4_group_1(esk354_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_2000) ).
cnf(i_0_1998,negated_conjecture,
v1_group_1(esk355_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_1998) ).
cnf(i_0_1996,negated_conjecture,
~ r2_hidden(k2_group_1(esk354_0),k1_funct_1(k1_latsubgr(esk354_0),esk355_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w3hjiahy/lgb.p',i_0_1996) ).
cnf(c_0_3878,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2) ),
i_0_719 ).
cnf(c_0_3879,negated_conjecture,
m1_group_2(esk355_0,esk354_0),
i_0_1997 ).
cnf(c_0_3880,negated_conjecture,
v3_group_1(esk354_0),
i_0_2001 ).
cnf(c_0_3881,negated_conjecture,
l1_group_1(esk354_0),
i_0_1999 ).
cnf(c_0_3882,negated_conjecture,
~ v3_struct_0(esk354_0),
i_0_2002 ).
cnf(c_0_3883,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_struct_0(X2)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_721 ).
cnf(c_0_3884,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
i_0_661 ).
cnf(c_0_3885,negated_conjecture,
l1_group_1(esk355_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3878,c_0_3879]),c_0_3880]),c_0_3881])]),c_0_3882]) ).
cnf(c_0_3886,negated_conjecture,
~ v3_struct_0(esk355_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3883,c_0_3879]),c_0_3880]),c_0_3881])]),c_0_3882]) ).
cnf(c_0_3887,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X1,X2)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2731 ).
cnf(c_0_3888,negated_conjecture,
m1_subset_1(k2_group_1(esk355_0),u1_struct_0(esk355_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3884,c_0_3885]),c_0_3886]) ).
cnf(c_0_3889,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ r1_rlvect_1(X2,X1) ),
i_0_261 ).
cnf(c_0_3890,plain,
( r1_rlvect_1(esk355_0,k2_group_1(esk355_0))
| ~ l1_struct_0(esk355_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3887,c_0_3888]),c_0_3886]) ).
cnf(c_0_3891,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_3857 ).
cnf(c_0_3892,plain,
( r2_hidden(k2_group_1(esk355_0),u1_struct_0(esk355_0))
| ~ l1_struct_0(esk355_0) ),
inference(spm,[status(thm)],[c_0_3889,c_0_3890]) ).
cnf(c_0_3893,plain,
( ~ v1_xboole_0(u1_struct_0(esk355_0))
| ~ l1_struct_0(esk355_0) ),
inference(spm,[status(thm)],[c_0_3891,c_0_3892]) ).
cnf(c_0_3894,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_714 ).
cnf(c_0_3895,plain,
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_latsubgr(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v1_funct_1(X1)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ m1_group_2(X2,X3)
| ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
i_0_244 ).
cnf(c_0_3896,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_652 ).
cnf(c_0_3897,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_651 ).
cnf(c_0_3898,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_650 ).
cnf(c_0_3899,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_349 ).
cnf(c_0_3900,plain,
~ v1_xboole_0(u1_struct_0(esk355_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3893,c_0_3894]),c_0_3885])]) ).
cnf(c_0_3901,plain,
( k2_group_1(X1) = k2_group_1(X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_3083 ).
cnf(c_0_3902,negated_conjecture,
v4_group_1(esk354_0),
i_0_2000 ).
cnf(c_0_3903,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_3895]),c_0_3896]),c_0_3897]),c_0_3898]) ).
cnf(c_0_3904,negated_conjecture,
v1_group_1(esk355_0),
i_0_1998 ).
cnf(c_0_3905,plain,
r2_hidden(k2_group_1(esk355_0),u1_struct_0(esk355_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3899,c_0_3888]),c_0_3900]) ).
cnf(c_0_3906,negated_conjecture,
k2_group_1(esk355_0) = k2_group_1(esk354_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3901,c_0_3879]),c_0_3902]),c_0_3880]),c_0_3881])]),c_0_3882]) ).
cnf(c_0_3907,negated_conjecture,
~ r2_hidden(k2_group_1(esk354_0),k1_funct_1(k1_latsubgr(esk354_0),esk355_0)),
i_0_1996 ).
cnf(c_0_3908,negated_conjecture,
k1_funct_1(k1_latsubgr(esk354_0),esk355_0) = u1_struct_0(esk355_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_3903,c_0_3879]),c_0_3902]),c_0_3880]),c_0_3904]),c_0_3881])]),c_0_3882]) ).
cnf(c_0_3909,plain,
r2_hidden(k2_group_1(esk354_0),u1_struct_0(esk355_0)),
inference(rw,[status(thm)],[c_0_3905,c_0_3906]) ).
cnf(c_0_3910,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3907,c_0_3908]),c_0_3909])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP641+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Mon Jun 13 11:26:58 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.16/0.40 # ENIGMATIC: Selected SinE mode:
% 0.39/0.58 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.58 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.39/0.58 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.39/0.58 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 6.33/3.78 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.33/3.78 # No SInE strategy applied
% 6.33/3.78 # Trying AutoSched0 for 150 seconds
% 6.33/3.78 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 6.33/3.78 # and selection function SelectComplexExceptUniqMaxHorn.
% 6.33/3.78 #
% 6.33/3.78 # Preprocessing time : 0.019 s
% 6.33/3.78 # Presaturation interreduction done
% 6.33/3.78
% 6.33/3.78 # Proof found!
% 6.33/3.78 # SZS status Theorem
% 6.33/3.78 # SZS output start CNFRefutation
% See solution above
% 6.33/3.78 # Training examples: 0 positive, 0 negative
% 6.33/3.78
% 6.33/3.78 # -------------------------------------------------
% 6.33/3.78 # User time : 0.059 s
% 6.33/3.78 # System time : 0.003 s
% 6.33/3.78 # Total time : 0.062 s
% 6.33/3.78 # Maximum resident set size: 7128 pages
% 6.33/3.78
%------------------------------------------------------------------------------