%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP628+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 08:39:38 EDT 2022
% Result : Theorem 33.76s 10.52s
% Output : CNFRefutation 33.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of clauses : 47 ( 24 unt; 20 nHn; 47 RR)
% Number of literals : 177 ( 18 equ; 115 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 : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1686,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-qys2bv_3/lgb.p',i_0_1686) ).
cnf(i_0_1977,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-qys2bv_3/lgb.p',i_0_1977) ).
cnf(i_0_3335,negated_conjecture,
m2_fraenkel(esk517_0,u1_struct_0(esk516_0),u1_struct_0(esk516_0),k4_autgroup(esk516_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qys2bv_3/lgb.p',i_0_3335) ).
cnf(i_0_3337,negated_conjecture,
v4_group_1(esk516_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qys2bv_3/lgb.p',i_0_3337) ).
cnf(i_0_3338,negated_conjecture,
v3_group_1(esk516_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qys2bv_3/lgb.p',i_0_3338) ).
cnf(i_0_3339,negated_conjecture,
v1_group_1(esk516_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qys2bv_3/lgb.p',i_0_3339) ).
cnf(i_0_3336,negated_conjecture,
l1_group_1(esk516_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qys2bv_3/lgb.p',i_0_3336) ).
cnf(i_0_3340,negated_conjecture,
~ v3_struct_0(esk516_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qys2bv_3/lgb.p',i_0_3340) ).
cnf(i_0_5230,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-qys2bv_3/lgb.p',i_0_5230) ).
cnf(i_0_814,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-qys2bv_3/lgb.p',i_0_814) ).
cnf(i_0_789,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-qys2bv_3/lgb.p',i_0_789) ).
cnf(i_0_791,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-qys2bv_3/lgb.p',i_0_791) ).
cnf(i_0_793,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-qys2bv_3/lgb.p',i_0_793) ).
cnf(i_0_3334,negated_conjecture,
m1_subset_1(esk518_0,u1_struct_0(k5_autgroup(esk516_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qys2bv_3/lgb.p',i_0_3334) ).
cnf(i_0_3333,negated_conjecture,
esk517_0 = esk518_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qys2bv_3/lgb.p',i_0_3333) ).
cnf(i_0_5364,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-qys2bv_3/lgb.p',i_0_5364) ).
cnf(i_0_790,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-qys2bv_3/lgb.p',i_0_790) ).
cnf(i_0_3332,negated_conjecture,
k3_group_1(k5_autgroup(esk516_0),esk518_0) != k2_funct_1(esk517_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qys2bv_3/lgb.p',i_0_3332) ).
cnf(c_0_5383,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_1686 ).
cnf(c_0_5384,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_1977 ).
cnf(c_0_5385,negated_conjecture,
m2_fraenkel(esk517_0,u1_struct_0(esk516_0),u1_struct_0(esk516_0),k4_autgroup(esk516_0)),
i_0_3335 ).
cnf(c_0_5386,negated_conjecture,
v4_group_1(esk516_0),
i_0_3337 ).
cnf(c_0_5387,negated_conjecture,
v3_group_1(esk516_0),
i_0_3338 ).
cnf(c_0_5388,negated_conjecture,
v1_group_1(esk516_0),
i_0_3339 ).
cnf(c_0_5389,negated_conjecture,
l1_group_1(esk516_0),
i_0_3336 ).
cnf(c_0_5390,negated_conjecture,
~ v3_struct_0(esk516_0),
i_0_3340 ).
cnf(c_0_5391,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_5230 ).
cnf(c_0_5392,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_814 ).
cnf(c_0_5393,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_789 ).
cnf(c_0_5394,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_791 ).
cnf(c_0_5395,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_793 ).
cnf(c_0_5396,negated_conjecture,
m1_subset_1(esk518_0,u1_struct_0(k5_autgroup(esk516_0))),
i_0_3334 ).
cnf(c_0_5397,negated_conjecture,
esk517_0 = esk518_0,
i_0_3333 ).
cnf(c_0_5398,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_5364 ).
cnf(c_0_5399,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_5383]) ).
cnf(c_0_5400,negated_conjecture,
m2_fraenkel(esk517_0,u1_struct_0(esk516_0),u1_struct_0(esk516_0),k1_autgroup(esk516_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_5384,c_0_5385]),c_0_5386]),c_0_5387]),c_0_5388]),c_0_5389])]),c_0_5390]) ).
cnf(c_0_5401,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(k3_autgroup(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(spm,[status(thm)],[c_0_5391,c_0_5392]),c_0_5393]),c_0_5394]),c_0_5395]) ).
cnf(c_0_5402,negated_conjecture,
m1_subset_1(esk517_0,u1_struct_0(k5_autgroup(esk516_0))),
inference(rw,[status(thm)],[c_0_5396,c_0_5397]) ).
cnf(c_0_5403,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_5398]),c_0_5391]) ).
cnf(c_0_5404,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_790 ).
cnf(c_0_5405,negated_conjecture,
( k3_group_1(k3_autgroup(esk516_0),esk517_0) = k2_funct_1(esk517_0)
| ~ m1_subset_1(esk517_0,u1_struct_0(k3_autgroup(esk516_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_5399,c_0_5400]),c_0_5386]),c_0_5387]),c_0_5388]),c_0_5389])]),c_0_5390]) ).
cnf(c_0_5406,negated_conjecture,
m1_subset_1(esk517_0,u1_struct_0(k3_autgroup(esk516_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_5401,c_0_5402]),c_0_5386]),c_0_5387]),c_0_5388]),c_0_5389])]),c_0_5390]) ).
cnf(c_0_5407,negated_conjecture,
k3_group_1(k5_autgroup(esk516_0),esk518_0) != k2_funct_1(esk517_0),
i_0_3332 ).
cnf(c_0_5408,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_5403,c_0_5392]),c_0_5393]),c_0_5394]),c_0_5404]),c_0_5395]) ).
cnf(c_0_5409,negated_conjecture,
k3_group_1(k3_autgroup(esk516_0),esk517_0) = k2_funct_1(esk517_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5405,c_0_5406])]) ).
cnf(c_0_5410,negated_conjecture,
k3_group_1(k5_autgroup(esk516_0),esk517_0) != k2_funct_1(esk517_0),
inference(rw,[status(thm)],[c_0_5407,c_0_5397]) ).
cnf(c_0_5411,negated_conjecture,
$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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5408,c_0_5402]),c_0_5409]),c_0_5386]),c_0_5387]),c_0_5388]),c_0_5389])]),c_0_5410]),c_0_5390]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP628+4 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 00:56:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 1.51/1.70 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.51/1.70 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.51/1.70 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.51/1.70 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 33.76/10.52 # ENIGMATIC: Solved by autoschedule-lgb:
% 33.76/10.52 # No SInE strategy applied
% 33.76/10.52 # Trying AutoSched0 for 148 seconds
% 33.76/10.52 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S081A
% 33.76/10.52 # and selection function SelectCQArNTNp.
% 33.76/10.52 #
% 33.76/10.52 # Preprocessing time : 0.026 s
% 33.76/10.52 # Presaturation interreduction done
% 33.76/10.52
% 33.76/10.52 # Proof found!
% 33.76/10.52 # SZS status Theorem
% 33.76/10.52 # SZS output start CNFRefutation
% See solution above
% 33.76/10.52 # Training examples: 0 positive, 0 negative
% 33.76/10.52
% 33.76/10.52 # -------------------------------------------------
% 33.76/10.52 # User time : 1.970 s
% 33.76/10.52 # System time : 0.047 s
% 33.76/10.52 # Total time : 2.017 s
% 33.76/10.52 # Maximum resident set size: 7120 pages
% 33.76/10.52
%------------------------------------------------------------------------------