%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP628+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:39:37 EDT 2022
% Result : Theorem 6.63s 3.91s
% Output : CNFRefutation 6.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 51 ( 25 unt; 21 nHn; 51 RR)
% Number of literals : 185 ( 18 equ; 120 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3648,plain,
( k3_group_1(X1,X2) = k3_group_1(X3,X4)
| v3_struct_0(X1)
| X2 != X4
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_3648) ).
cnf(i_0_3504,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_3504) ).
cnf(i_0_2441,negated_conjecture,
k3_group_1(k5_autgroup(esk394_0),esk396_0) != k2_funct_1(esk395_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_2441) ).
cnf(i_0_2442,negated_conjecture,
esk395_0 = esk396_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_2442) ).
cnf(i_0_825,plain,
( v3_struct_0(X1)
| m1_group_2(k5_autgroup(X1),k3_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-2jxa94w9/lgb.p',i_0_825) ).
cnf(i_0_796,plain,
( v3_struct_0(X1)
| l1_group_1(k3_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-2jxa94w9/lgb.p',i_0_796) ).
cnf(i_0_798,plain,
( v3_struct_0(X1)
| v3_group_1(k3_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-2jxa94w9/lgb.p',i_0_798) ).
cnf(i_0_797,plain,
( v3_struct_0(X1)
| v4_group_1(k3_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-2jxa94w9/lgb.p',i_0_797) ).
cnf(i_0_800,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_struct_0(k3_autgroup(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_800) ).
cnf(i_0_2443,negated_conjecture,
m1_subset_1(esk396_0,u1_struct_0(k5_autgroup(esk394_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_2443) ).
cnf(i_0_1633,plain,
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X2),X3)
| v3_struct_0(X2)
| X1 != X3
| ~ l1_group_1(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(k3_autgroup(X2)))
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_1633) ).
cnf(i_0_1824,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-2jxa94w9/lgb.p',i_0_1824) ).
cnf(i_0_2444,negated_conjecture,
m2_fraenkel(esk395_0,u1_struct_0(esk394_0),u1_struct_0(esk394_0),k4_autgroup(esk394_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_2444) ).
cnf(i_0_2446,negated_conjecture,
v4_group_1(esk394_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_2446) ).
cnf(i_0_2447,negated_conjecture,
v3_group_1(esk394_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_2447) ).
cnf(i_0_2448,negated_conjecture,
v1_group_1(esk394_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_2448) ).
cnf(i_0_2445,negated_conjecture,
l1_group_1(esk394_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_2445) ).
cnf(i_0_2449,negated_conjecture,
~ v3_struct_0(esk394_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2jxa94w9/lgb.p',i_0_2449) ).
cnf(c_0_3667,plain,
( k3_group_1(X1,X2) = k3_group_1(X3,X4)
| v3_struct_0(X1)
| X2 != X4
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_3648 ).
cnf(c_0_3668,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
i_0_3504 ).
cnf(c_0_3669,negated_conjecture,
k3_group_1(k5_autgroup(esk394_0),esk396_0) != k2_funct_1(esk395_0),
i_0_2441 ).
cnf(c_0_3670,negated_conjecture,
esk395_0 = esk396_0,
i_0_2442 ).
cnf(c_0_3671,plain,
( k3_group_1(X1,X2) = k3_group_1(X3,X2)
| v3_struct_0(X1)
| ~ m1_group_2(X3,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_3667]),c_0_3668]) ).
cnf(c_0_3672,plain,
( v3_struct_0(X1)
| m1_group_2(k5_autgroup(X1),k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_825 ).
cnf(c_0_3673,plain,
( v3_struct_0(X1)
| l1_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_796 ).
cnf(c_0_3674,plain,
( v3_struct_0(X1)
| v3_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_798 ).
cnf(c_0_3675,plain,
( v3_struct_0(X1)
| v4_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_797 ).
cnf(c_0_3676,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_struct_0(k3_autgroup(X1)) ),
i_0_800 ).
cnf(c_0_3677,negated_conjecture,
m1_subset_1(esk396_0,u1_struct_0(k5_autgroup(esk394_0))),
i_0_2443 ).
cnf(c_0_3678,plain,
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X2),X3)
| v3_struct_0(X2)
| X1 != X3
| ~ l1_group_1(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(k3_autgroup(X2)))
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
i_0_1633 ).
cnf(c_0_3679,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_1824 ).
cnf(c_0_3680,negated_conjecture,
m2_fraenkel(esk395_0,u1_struct_0(esk394_0),u1_struct_0(esk394_0),k4_autgroup(esk394_0)),
i_0_2444 ).
cnf(c_0_3681,negated_conjecture,
v4_group_1(esk394_0),
i_0_2446 ).
cnf(c_0_3682,negated_conjecture,
v3_group_1(esk394_0),
i_0_2447 ).
cnf(c_0_3683,negated_conjecture,
v1_group_1(esk394_0),
i_0_2448 ).
cnf(c_0_3684,negated_conjecture,
l1_group_1(esk394_0),
i_0_2445 ).
cnf(c_0_3685,negated_conjecture,
~ v3_struct_0(esk394_0),
i_0_2449 ).
cnf(c_0_3686,negated_conjecture,
k3_group_1(k5_autgroup(esk394_0),esk395_0) != k2_funct_1(esk395_0),
inference(rw,[status(thm)],[c_0_3669,c_0_3670]) ).
cnf(c_0_3687,plain,
( k3_group_1(k5_autgroup(X1),X2) = k3_group_1(k3_autgroup(X1),X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3671,c_0_3672]),c_0_3673]),c_0_3674]),c_0_3675]),c_0_3676]) ).
cnf(c_0_3688,negated_conjecture,
m1_subset_1(esk395_0,u1_struct_0(k5_autgroup(esk394_0))),
inference(rw,[status(thm)],[c_0_3677,c_0_3670]) ).
cnf(c_0_3689,plain,
( k3_group_1(k3_autgroup(X1),X2) = k2_funct_1(X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X1)))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
inference(er,[status(thm)],[c_0_3678]) ).
cnf(c_0_3690,negated_conjecture,
m2_fraenkel(esk395_0,u1_struct_0(esk394_0),u1_struct_0(esk394_0),k1_autgroup(esk394_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_3679,c_0_3680]),c_0_3681]),c_0_3682]),c_0_3683]),c_0_3684])]),c_0_3685]) ).
cnf(c_0_3691,negated_conjecture,
k3_group_1(k3_autgroup(esk394_0),esk395_0) != k2_funct_1(esk395_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(spm,[status(thm)],[c_0_3686,c_0_3687]),c_0_3681]),c_0_3682]),c_0_3683]),c_0_3684]),c_0_3688])]),c_0_3685]) ).
cnf(c_0_3692,plain,
( k3_group_1(k3_autgroup(esk394_0),esk395_0) = k2_funct_1(esk395_0)
| ~ m1_subset_1(esk395_0,u1_struct_0(k3_autgroup(esk394_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_3689,c_0_3690]),c_0_3681]),c_0_3682]),c_0_3683]),c_0_3684])]),c_0_3685]) ).
cnf(c_0_3693,negated_conjecture,
( v3_struct_0(X1)
| m1_subset_1(esk395_0,u1_struct_0(X1))
| ~ m1_group_2(k5_autgroup(esk394_0),X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_3668,c_0_3688]) ).
cnf(c_0_3694,plain,
~ m1_subset_1(esk395_0,u1_struct_0(k3_autgroup(esk394_0))),
inference(spm,[status(thm)],[c_0_3691,c_0_3692]) ).
cnf(c_0_3695,plain,
( v3_struct_0(k3_autgroup(esk394_0))
| m1_subset_1(esk395_0,u1_struct_0(k3_autgroup(esk394_0)))
| ~ v3_group_1(k3_autgroup(esk394_0))
| ~ l1_group_1(k3_autgroup(esk394_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_3693,c_0_3672]),c_0_3681]),c_0_3682]),c_0_3683]),c_0_3684])]),c_0_3685]) ).
cnf(c_0_3696,plain,
( v3_struct_0(k3_autgroup(esk394_0))
| ~ v3_group_1(k3_autgroup(esk394_0))
| ~ l1_group_1(k3_autgroup(esk394_0)) ),
inference(spm,[status(thm)],[c_0_3694,c_0_3695]) ).
cnf(c_0_3697,plain,
( v3_struct_0(k3_autgroup(esk394_0))
| ~ l1_group_1(k3_autgroup(esk394_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_3696,c_0_3674]),c_0_3681]),c_0_3682]),c_0_3683]),c_0_3684])]),c_0_3685]) ).
cnf(c_0_3698,plain,
v3_struct_0(k3_autgroup(esk394_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_3697,c_0_3673]),c_0_3681]),c_0_3682]),c_0_3683]),c_0_3684])]),c_0_3685]) ).
cnf(c_0_3699,plain,
$false,
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_3676,c_0_3698]),c_0_3681]),c_0_3682]),c_0_3683]),c_0_3684])]),c_0_3685]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP628+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 18:25:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.44/0.61 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.61 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.44/0.61 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.44/0.61 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 6.63/3.91 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.63/3.91 # No SInE strategy applied
% 6.63/3.91 # Trying AutoSched0 for 150 seconds
% 6.63/3.91 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 6.63/3.91 # and selection function SelectMaxLComplexAvoidPosPred.
% 6.63/3.91 #
% 6.63/3.91 # Preprocessing time : 0.027 s
% 6.63/3.91 # Presaturation interreduction done
% 6.63/3.91
% 6.63/3.91 # Proof found!
% 6.63/3.91 # SZS status Theorem
% 6.63/3.91 # SZS output start CNFRefutation
% See solution above
% 6.63/3.91 # Training examples: 0 positive, 0 negative
% 6.63/3.91
% 6.63/3.91 # -------------------------------------------------
% 6.63/3.91 # User time : 0.066 s
% 6.63/3.91 # System time : 0.011 s
% 6.63/3.91 # Total time : 0.077 s
% 6.63/3.91 # Maximum resident set size: 7124 pages
% 6.63/3.91
%------------------------------------------------------------------------------