TSTP Solution File: GRP629+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP629+4 : 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 08:39:38 EDT 2022
% Result : Theorem 13.63s 7.54s
% Output : CNFRefutation 13.63s
% 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_4357,negated_conjecture,
k7_funct_2(u1_struct_0(esk679_0),u1_struct_0(esk679_0),u1_struct_0(esk679_0),k6_autgroup(esk679_0,k3_group_1(esk679_0,esk680_0)),k6_autgroup(esk679_0,esk680_0)) != k6_autgroup(esk679_0,k2_group_1(esk679_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bt3fgk6m/lgb.p',i_0_4357) ).
cnf(i_0_4127,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)
| ~ v4_group_1(X1)
| ~ v3_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-bt3fgk6m/lgb.p',i_0_4127) ).
cnf(i_0_4361,negated_conjecture,
v3_group_1(esk679_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bt3fgk6m/lgb.p',i_0_4361) ).
cnf(i_0_4360,negated_conjecture,
v4_group_1(esk679_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bt3fgk6m/lgb.p',i_0_4360) ).
cnf(i_0_4362,negated_conjecture,
v1_group_1(esk679_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bt3fgk6m/lgb.p',i_0_4362) ).
cnf(i_0_4359,negated_conjecture,
l1_group_1(esk679_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bt3fgk6m/lgb.p',i_0_4359) ).
cnf(i_0_4358,negated_conjecture,
m1_subset_1(esk680_0,u1_struct_0(esk679_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bt3fgk6m/lgb.p',i_0_4358) ).
cnf(i_0_4363,negated_conjecture,
~ v3_struct_0(esk679_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bt3fgk6m/lgb.p',i_0_4363) ).
cnf(i_0_4542,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)
| ~ v4_group_1(X1)
| ~ v3_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-bt3fgk6m/lgb.p',i_0_4542) ).
cnf(i_0_874,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)
| ~ v4_group_1(X1)
| ~ v3_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-bt3fgk6m/lgb.p',i_0_874) ).
cnf(i_0_1084,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bt3fgk6m/lgb.p',i_0_1084) ).
cnf(c_0_4554,negated_conjecture,
k7_funct_2(u1_struct_0(esk679_0),u1_struct_0(esk679_0),u1_struct_0(esk679_0),k6_autgroup(esk679_0,k3_group_1(esk679_0,esk680_0)),k6_autgroup(esk679_0,esk680_0)) != k6_autgroup(esk679_0,k2_group_1(esk679_0)),
i_0_4357 ).
cnf(c_0_4555,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)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_4127 ).
cnf(c_0_4556,negated_conjecture,
v3_group_1(esk679_0),
i_0_4361 ).
cnf(c_0_4557,negated_conjecture,
v4_group_1(esk679_0),
i_0_4360 ).
cnf(c_0_4558,negated_conjecture,
v1_group_1(esk679_0),
i_0_4362 ).
cnf(c_0_4559,negated_conjecture,
l1_group_1(esk679_0),
i_0_4359 ).
cnf(c_0_4560,negated_conjecture,
m1_subset_1(esk680_0,u1_struct_0(esk679_0)),
i_0_4358 ).
cnf(c_0_4561,negated_conjecture,
~ v3_struct_0(esk679_0),
i_0_4363 ).
cnf(c_0_4562,negated_conjecture,
( k6_autgroup(esk679_0,k1_group_1(esk679_0,k3_group_1(esk679_0,esk680_0),esk680_0)) != k6_autgroup(esk679_0,k2_group_1(esk679_0))
| ~ m1_subset_1(k3_group_1(esk679_0,esk680_0),u1_struct_0(esk679_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_4554,c_0_4555]),c_0_4556]),c_0_4557]),c_0_4558]),c_0_4559]),c_0_4560])]),c_0_4561]) ).
cnf(c_0_4563,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)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_4542 ).
cnf(c_0_4564,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)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_874 ).
cnf(c_0_4565,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_1084 ).
cnf(c_0_4566,plain,
( k6_autgroup(esk679_0,k1_group_1(esk679_0,esk680_0,k3_group_1(esk679_0,esk680_0))) != k6_autgroup(esk679_0,k2_group_1(esk679_0))
| ~ m1_subset_1(k3_group_1(esk679_0,esk680_0),u1_struct_0(esk679_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_4562,c_0_4563]),c_0_4556]),c_0_4557]),c_0_4559]),c_0_4560])]),c_0_4561]) ).
cnf(c_0_4567,plain,
( k1_group_1(X1,X2,k3_group_1(X1,X2)) = k2_group_1(X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_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_4564]),c_0_4565]) ).
cnf(c_0_4568,plain,
~ m1_subset_1(k3_group_1(esk679_0,esk680_0),u1_struct_0(esk679_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_4566,c_0_4567]),c_0_4556]),c_0_4557]),c_0_4559]),c_0_4560])]),c_0_4561]) ).
cnf(c_0_4569,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_4568,c_0_4565]),c_0_4556]),c_0_4557]),c_0_4559]),c_0_4560])]),c_0_4561]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP629+4 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.11 % 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 05:24:03 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.40 # ENIGMATIC: Selected SinE mode:
% 1.35/1.54 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.35/1.54 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.35/1.54 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.35/1.54 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 13.63/7.54 # ENIGMATIC: Solved by autoschedule-lgb:
% 13.63/7.54 # No SInE strategy applied
% 13.63/7.54 # Trying AutoSched0 for 148 seconds
% 13.63/7.54 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 13.63/7.54 # and selection function SelectMaxLComplexAvoidPosPred.
% 13.63/7.54 #
% 13.63/7.54 # Preprocessing time : 0.029 s
% 13.63/7.54
% 13.63/7.54 # Proof found!
% 13.63/7.54 # SZS status Theorem
% 13.63/7.54 # SZS output start CNFRefutation
% See solution above
% 13.63/7.54 # Training examples: 0 positive, 0 negative
% 13.63/7.54
% 13.63/7.54 # -------------------------------------------------
% 13.63/7.54 # User time : 0.064 s
% 13.63/7.54 # System time : 0.006 s
% 13.63/7.54 # Total time : 0.070 s
% 13.63/7.54 # Maximum resident set size: 7120 pages
% 13.63/7.54
%------------------------------------------------------------------------------