%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP629+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 08:39:38 EDT 2022
% Result : Theorem 6.91s 3.95s
% Output : CNFRefutation 6.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 16 unt; 9 nHn; 27 RR)
% Number of literals : 86 ( 15 equ; 57 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-5 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2677,negated_conjecture,
k7_funct_2(u1_struct_0(esk421_0),u1_struct_0(esk421_0),u1_struct_0(esk421_0),k6_autgroup(esk421_0,k3_group_1(esk421_0,esk422_0)),k6_autgroup(esk421_0,esk422_0)) != k6_autgroup(esk421_0,k2_group_1(esk421_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fenp5l3/lgb.p',i_0_2677) ).
cnf(i_0_2590,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) = k6_autgroup(X1,k1_group_1(X1,X2,X3))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fenp5l3/lgb.p',i_0_2590) ).
cnf(i_0_2680,negated_conjecture,
v4_group_1(esk421_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fenp5l3/lgb.p',i_0_2680) ).
cnf(i_0_2681,negated_conjecture,
v3_group_1(esk421_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fenp5l3/lgb.p',i_0_2681) ).
cnf(i_0_2682,negated_conjecture,
v1_group_1(esk421_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fenp5l3/lgb.p',i_0_2682) ).
cnf(i_0_2679,negated_conjecture,
l1_group_1(esk421_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fenp5l3/lgb.p',i_0_2679) ).
cnf(i_0_2678,negated_conjecture,
m1_subset_1(esk422_0,u1_struct_0(esk421_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fenp5l3/lgb.p',i_0_2678) ).
cnf(i_0_2683,negated_conjecture,
~ v3_struct_0(esk421_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fenp5l3/lgb.p',i_0_2683) ).
cnf(i_0_2781,plain,
( k1_group_1(X1,X2,k3_group_1(X1,X3)) = k1_group_1(X1,k3_group_1(X1,X3),X2)
| v3_struct_0(X1)
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fenp5l3/lgb.p',i_0_2781) ).
cnf(i_0_615,plain,
( k1_group_1(X1,X2,X3) = k2_group_1(X1)
| v3_struct_0(X1)
| X3 != k3_group_1(X1,X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fenp5l3/lgb.p',i_0_615) ).
cnf(i_0_823,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fenp5l3/lgb.p',i_0_823) ).
cnf(c_0_2793,negated_conjecture,
k7_funct_2(u1_struct_0(esk421_0),u1_struct_0(esk421_0),u1_struct_0(esk421_0),k6_autgroup(esk421_0,k3_group_1(esk421_0,esk422_0)),k6_autgroup(esk421_0,esk422_0)) != k6_autgroup(esk421_0,k2_group_1(esk421_0)),
i_0_2677 ).
cnf(c_0_2794,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) = k6_autgroup(X1,k1_group_1(X1,X2,X3))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2590 ).
cnf(c_0_2795,negated_conjecture,
v4_group_1(esk421_0),
i_0_2680 ).
cnf(c_0_2796,negated_conjecture,
v3_group_1(esk421_0),
i_0_2681 ).
cnf(c_0_2797,negated_conjecture,
v1_group_1(esk421_0),
i_0_2682 ).
cnf(c_0_2798,negated_conjecture,
l1_group_1(esk421_0),
i_0_2679 ).
cnf(c_0_2799,negated_conjecture,
m1_subset_1(esk422_0,u1_struct_0(esk421_0)),
i_0_2678 ).
cnf(c_0_2800,negated_conjecture,
~ v3_struct_0(esk421_0),
i_0_2683 ).
cnf(c_0_2801,negated_conjecture,
( k6_autgroup(esk421_0,k1_group_1(esk421_0,k3_group_1(esk421_0,esk422_0),esk422_0)) != k6_autgroup(esk421_0,k2_group_1(esk421_0))
| ~ m1_subset_1(k3_group_1(esk421_0,esk422_0),u1_struct_0(esk421_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_2793,c_0_2794]),c_0_2795]),c_0_2796]),c_0_2797]),c_0_2798]),c_0_2799])]),c_0_2800]) ).
cnf(c_0_2802,plain,
( k1_group_1(X1,X2,k3_group_1(X1,X3)) = k1_group_1(X1,k3_group_1(X1,X3),X2)
| v3_struct_0(X1)
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2781 ).
cnf(c_0_2803,plain,
( k1_group_1(X1,X2,X3) = k2_group_1(X1)
| v3_struct_0(X1)
| X3 != k3_group_1(X1,X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_615 ).
cnf(c_0_2804,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_823 ).
cnf(c_0_2805,plain,
( k6_autgroup(esk421_0,k1_group_1(esk421_0,esk422_0,k3_group_1(esk421_0,esk422_0))) != k6_autgroup(esk421_0,k2_group_1(esk421_0))
| ~ m1_subset_1(k3_group_1(esk421_0,esk422_0),u1_struct_0(esk421_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_2801,c_0_2802]),c_0_2795]),c_0_2796]),c_0_2798]),c_0_2799])]),c_0_2800]) ).
cnf(c_0_2806,plain,
( k1_group_1(X1,X2,k3_group_1(X1,X2)) = k2_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_2803]),c_0_2804]) ).
cnf(c_0_2807,plain,
~ m1_subset_1(k3_group_1(esk421_0,esk422_0),u1_struct_0(esk421_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_2805,c_0_2806]),c_0_2795]),c_0_2796]),c_0_2798]),c_0_2799])]),c_0_2800]) ).
cnf(c_0_2808,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_2807,c_0_2804]),c_0_2795]),c_0_2796]),c_0_2798]),c_0_2799])]),c_0_2800]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP629+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n008.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 20:40:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.36/0.62 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.62 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.36/0.62 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.36/0.62 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 6.91/3.95 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.91/3.95 # No SInE strategy applied
% 6.91/3.95 # Trying AutoSched0 for 150 seconds
% 6.91/3.95 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 6.91/3.95 # and selection function SelectMaxLComplexAvoidPosPred.
% 6.91/3.95 #
% 6.91/3.95 # Preprocessing time : 0.033 s
% 6.91/3.95
% 6.91/3.95 # Proof found!
% 6.91/3.95 # SZS status Theorem
% 6.91/3.95 # SZS output start CNFRefutation
% See solution above
% 6.91/3.95 # Training examples: 0 positive, 0 negative
% 6.91/3.95
% 6.91/3.95 # -------------------------------------------------
% 6.91/3.95 # User time : 0.066 s
% 6.91/3.95 # System time : 0.009 s
% 6.91/3.95 # Total time : 0.075 s
% 6.91/3.95 # Maximum resident set size: 7116 pages
% 6.91/3.95
%------------------------------------------------------------------------------