TSTP Solution File: GRP653+4 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP653+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 08:39:59 EDT 2022
% Result : Theorem 12.16s 5.66s
% Output : CNFRefutation 12.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 23
% Syntax : Number of clauses : 57 ( 36 unt; 19 nHn; 57 RR)
% Number of literals : 206 ( 0 equ; 123 neg)
% Maximal clause size : 14 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2250,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(X3,X2,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m3_vectsp_8(X3,X2,X1)
| ~ m4_vectsp_8(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_2250) ).
cnf(i_0_1056,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_1056) ).
cnf(i_0_1055,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_1055) ).
cnf(i_0_1057,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ l3_lattices(X2)
| ~ l3_lattices(X3)
| ~ v10_lattices(X2)
| ~ v10_lattices(X3)
| ~ m4_vectsp_8(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_1057) ).
cnf(i_0_4235,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m4_vectsp_8(k3_latsubgr(X2,X1,X3),k11_group_4(X2),k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v1_group_6(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4235) ).
cnf(i_0_4273,negated_conjecture,
m2_relset_1(esk640_0,u1_struct_0(esk638_0),u1_struct_0(esk639_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4273) ).
cnf(i_0_4282,negated_conjecture,
v4_group_1(esk638_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4282) ).
cnf(i_0_4278,negated_conjecture,
v4_group_1(esk639_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4278) ).
cnf(i_0_4283,negated_conjecture,
v3_group_1(esk638_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4283) ).
cnf(i_0_4279,negated_conjecture,
v3_group_1(esk639_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4279) ).
cnf(i_0_4276,negated_conjecture,
v1_funct_1(esk640_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4276) ).
cnf(i_0_4281,negated_conjecture,
l1_group_1(esk638_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4281) ).
cnf(i_0_4277,negated_conjecture,
l1_group_1(esk639_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4277) ).
cnf(i_0_4274,negated_conjecture,
v1_group_6(esk640_0,esk638_0,esk639_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4274) ).
cnf(i_0_4275,negated_conjecture,
v1_funct_2(esk640_0,u1_struct_0(esk638_0),u1_struct_0(esk639_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4275) ).
cnf(i_0_4284,negated_conjecture,
~ v3_struct_0(esk638_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4284) ).
cnf(i_0_4280,negated_conjecture,
~ v3_struct_0(esk639_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4280) ).
cnf(i_0_900,plain,
( v3_struct_0(X1)
| v10_lattices(k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_900) ).
cnf(i_0_899,plain,
( v3_struct_0(X1)
| l3_lattices(k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_899) ).
cnf(i_0_4271,negated_conjecture,
~ m1_lattice4(k3_latsubgr(esk638_0,esk639_0,esk640_0),k11_group_4(esk638_0),k11_group_4(esk639_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4271) ).
cnf(i_0_4133,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m3_vectsp_8(k3_latsubgr(X2,X1,X3),k11_group_4(X2),k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v2_funct_1(X3)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v1_group_6(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4133) ).
cnf(i_0_4272,negated_conjecture,
v2_funct_1(esk640_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_4272) ).
cnf(i_0_902,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_struct_0(k11_group_4(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zneevz59/lgb.p',i_0_902) ).
cnf(c_0_4308,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(X3,X2,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m3_vectsp_8(X3,X2,X1)
| ~ m4_vectsp_8(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_2250 ).
cnf(c_0_4309,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
i_0_1056 ).
cnf(c_0_4310,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
i_0_1055 ).
cnf(c_0_4311,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ l3_lattices(X2)
| ~ l3_lattices(X3)
| ~ v10_lattices(X2)
| ~ v10_lattices(X3)
| ~ m4_vectsp_8(X1,X3,X2) ),
i_0_1057 ).
cnf(c_0_4312,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m4_vectsp_8(k3_latsubgr(X2,X1,X3),k11_group_4(X2),k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v1_group_6(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_4235 ).
cnf(c_0_4313,negated_conjecture,
m2_relset_1(esk640_0,u1_struct_0(esk638_0),u1_struct_0(esk639_0)),
i_0_4273 ).
cnf(c_0_4314,negated_conjecture,
v4_group_1(esk638_0),
i_0_4282 ).
cnf(c_0_4315,negated_conjecture,
v4_group_1(esk639_0),
i_0_4278 ).
cnf(c_0_4316,negated_conjecture,
v3_group_1(esk638_0),
i_0_4283 ).
cnf(c_0_4317,negated_conjecture,
v3_group_1(esk639_0),
i_0_4279 ).
cnf(c_0_4318,negated_conjecture,
v1_funct_1(esk640_0),
i_0_4276 ).
cnf(c_0_4319,negated_conjecture,
l1_group_1(esk638_0),
i_0_4281 ).
cnf(c_0_4320,negated_conjecture,
l1_group_1(esk639_0),
i_0_4277 ).
cnf(c_0_4321,negated_conjecture,
v1_group_6(esk640_0,esk638_0,esk639_0),
i_0_4274 ).
cnf(c_0_4322,negated_conjecture,
v1_funct_2(esk640_0,u1_struct_0(esk638_0),u1_struct_0(esk639_0)),
i_0_4275 ).
cnf(c_0_4323,negated_conjecture,
~ v3_struct_0(esk638_0),
i_0_4284 ).
cnf(c_0_4324,negated_conjecture,
~ v3_struct_0(esk639_0),
i_0_4280 ).
cnf(c_0_4325,plain,
( v3_struct_0(X1)
| v10_lattices(k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_900 ).
cnf(c_0_4326,plain,
( v3_struct_0(X1)
| l3_lattices(k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_899 ).
cnf(c_0_4327,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(X3,X2,X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m4_vectsp_8(X3,X2,X1)
| ~ m3_vectsp_8(X3,X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_4308,c_0_4309]),c_0_4310]),c_0_4311]) ).
cnf(c_0_4328,negated_conjecture,
m4_vectsp_8(k3_latsubgr(esk638_0,esk639_0,esk640_0),k11_group_4(esk638_0),k11_group_4(esk639_0)),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4312,c_0_4313]),c_0_4314]),c_0_4315]),c_0_4316]),c_0_4317]),c_0_4318]),c_0_4319]),c_0_4320]),c_0_4321]),c_0_4322])]),c_0_4323]),c_0_4324]) ).
cnf(c_0_4329,negated_conjecture,
v10_lattices(k11_group_4(esk638_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4325,c_0_4314]),c_0_4316]),c_0_4319])]),c_0_4323]) ).
cnf(c_0_4330,negated_conjecture,
v10_lattices(k11_group_4(esk639_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4325,c_0_4315]),c_0_4317]),c_0_4320])]),c_0_4324]) ).
cnf(c_0_4331,negated_conjecture,
l3_lattices(k11_group_4(esk638_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4326,c_0_4314]),c_0_4316]),c_0_4319])]),c_0_4323]) ).
cnf(c_0_4332,negated_conjecture,
l3_lattices(k11_group_4(esk639_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4326,c_0_4315]),c_0_4317]),c_0_4320])]),c_0_4324]) ).
cnf(c_0_4333,negated_conjecture,
~ m1_lattice4(k3_latsubgr(esk638_0,esk639_0,esk640_0),k11_group_4(esk638_0),k11_group_4(esk639_0)),
i_0_4271 ).
cnf(c_0_4334,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m3_vectsp_8(k3_latsubgr(X2,X1,X3),k11_group_4(X2),k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v2_funct_1(X3)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v1_group_6(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_4133 ).
cnf(c_0_4335,negated_conjecture,
v2_funct_1(esk640_0),
i_0_4272 ).
cnf(c_0_4336,plain,
( v3_struct_0(k11_group_4(esk639_0))
| v3_struct_0(k11_group_4(esk638_0))
| ~ m3_vectsp_8(k3_latsubgr(esk638_0,esk639_0,esk640_0),k11_group_4(esk638_0),k11_group_4(esk639_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_4327,c_0_4328]),c_0_4329]),c_0_4330]),c_0_4331]),c_0_4332])]),c_0_4333]) ).
cnf(c_0_4337,negated_conjecture,
m3_vectsp_8(k3_latsubgr(esk638_0,esk639_0,esk640_0),k11_group_4(esk638_0),k11_group_4(esk639_0)),
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(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_4334,c_0_4313]),c_0_4335]),c_0_4314]),c_0_4315]),c_0_4316]),c_0_4317]),c_0_4318]),c_0_4319]),c_0_4320]),c_0_4321]),c_0_4322])]),c_0_4323]),c_0_4324]) ).
cnf(c_0_4338,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_struct_0(k11_group_4(X1)) ),
i_0_902 ).
cnf(c_0_4339,plain,
( v3_struct_0(k11_group_4(esk638_0))
| v3_struct_0(k11_group_4(esk639_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4336,c_0_4337])]) ).
cnf(c_0_4340,plain,
v3_struct_0(k11_group_4(esk638_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_4338,c_0_4339]),c_0_4315]),c_0_4317]),c_0_4320])]),c_0_4324]) ).
cnf(c_0_4341,plain,
$false,
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_4338,c_0_4340]),c_0_4314]),c_0_4316]),c_0_4319])]),c_0_4323]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP653+4 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.32 % Computer : n028.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Mon Jun 13 17:07:00 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected SinE mode:
% 1.44/1.61 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.44/1.61 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.44/1.61 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.44/1.61 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 12.16/5.66 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.16/5.66 # No SInE strategy applied
% 12.16/5.66 # Trying AutoSched0 for 149 seconds
% 12.16/5.66 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 12.16/5.66 # and selection function PSelectComplexExceptUniqMaxHorn.
% 12.16/5.66 #
% 12.16/5.66 # Preprocessing time : 0.031 s
% 12.16/5.66 # Presaturation interreduction done
% 12.16/5.66
% 12.16/5.66 # Proof found!
% 12.16/5.66 # SZS status Theorem
% 12.16/5.66 # SZS output start CNFRefutation
% See solution above
% 12.16/5.66 # Training examples: 0 positive, 0 negative
% 12.16/5.66
% 12.16/5.66 # -------------------------------------------------
% 12.16/5.66 # User time : 0.098 s
% 12.16/5.66 # System time : 0.005 s
% 12.16/5.66 # Total time : 0.103 s
% 12.16/5.66 # Maximum resident set size: 7124 pages
% 12.16/5.66
%------------------------------------------------------------------------------