TSTP Solution File: GRP618+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP618+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 08:39:29 EDT 2022
% Result : Theorem 11.32s 4.04s
% Output : CNFRefutation 11.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of clauses : 38 ( 15 unt; 15 nHn; 38 RR)
% Number of literals : 150 ( 0 equ; 99 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1179,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_3(X1,X3,X4))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_1179) ).
cnf(i_0_3353,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-_onzkktw/lgb.p',i_0_3353) ).
cnf(i_0_2316,negated_conjecture,
( ~ v1_group_3(esk341_0,esk340_0)
| ~ r1_rlvect_1(esk341_0,k2_group_3(esk340_0,esk343_0,esk342_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_2316) ).
cnf(i_0_2322,negated_conjecture,
v4_group_1(esk340_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_2322) ).
cnf(i_0_2323,negated_conjecture,
v3_group_1(esk340_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_2323) ).
cnf(i_0_2324,negated_conjecture,
v1_group_1(esk340_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_2324) ).
cnf(i_0_2321,negated_conjecture,
l1_group_1(esk340_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_2321) ).
cnf(i_0_2320,negated_conjecture,
m1_group_2(esk341_0,esk340_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_2320) ).
cnf(i_0_2325,negated_conjecture,
~ v3_struct_0(esk340_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_2325) ).
cnf(i_0_2317,negated_conjecture,
( m1_subset_1(esk343_0,u1_struct_0(esk341_0))
| ~ v1_group_3(esk341_0,esk340_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_2317) ).
cnf(i_0_2319,negated_conjecture,
( m1_subset_1(esk342_0,u1_struct_0(esk340_0))
| ~ v1_group_3(esk341_0,esk340_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_2319) ).
cnf(i_0_1175,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,k2_group_3(X1,esk167_2(X1,X2),esk166_2(X1,X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_1175) ).
cnf(i_0_2315,negated_conjecture,
( v1_group_3(esk341_0,esk340_0)
| r1_rlvect_1(esk341_0,k2_group_3(esk340_0,X1,X2))
| ~ m1_subset_1(X1,u1_struct_0(esk340_0))
| ~ m1_subset_1(X1,u1_struct_0(esk341_0))
| ~ m1_subset_1(X2,u1_struct_0(esk340_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_2315) ).
cnf(i_0_1178,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk166_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_1178) ).
cnf(i_0_1176,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk167_2(X1,X2),u1_struct_0(X2))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_1176) ).
cnf(i_0_1177,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk167_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_onzkktw/lgb.p',i_0_1177) ).
cnf(c_0_3370,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_3(X1,X3,X4))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1)) ),
i_0_1179 ).
cnf(c_0_3371,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_3353 ).
cnf(c_0_3372,negated_conjecture,
( ~ v1_group_3(esk341_0,esk340_0)
| ~ r1_rlvect_1(esk341_0,k2_group_3(esk340_0,esk343_0,esk342_0)) ),
i_0_2316 ).
cnf(c_0_3373,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_3(X1,X3,X4))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v1_group_3(X2,X1) ),
inference(csr,[status(thm)],[c_0_3370,c_0_3371]) ).
cnf(c_0_3374,negated_conjecture,
v4_group_1(esk340_0),
i_0_2322 ).
cnf(c_0_3375,negated_conjecture,
v3_group_1(esk340_0),
i_0_2323 ).
cnf(c_0_3376,negated_conjecture,
v1_group_1(esk340_0),
i_0_2324 ).
cnf(c_0_3377,negated_conjecture,
l1_group_1(esk340_0),
i_0_2321 ).
cnf(c_0_3378,negated_conjecture,
m1_group_2(esk341_0,esk340_0),
i_0_2320 ).
cnf(c_0_3379,negated_conjecture,
~ v3_struct_0(esk340_0),
i_0_2325 ).
cnf(c_0_3380,negated_conjecture,
( m1_subset_1(esk343_0,u1_struct_0(esk341_0))
| ~ v1_group_3(esk341_0,esk340_0) ),
i_0_2317 ).
cnf(c_0_3381,negated_conjecture,
( m1_subset_1(esk342_0,u1_struct_0(esk340_0))
| ~ v1_group_3(esk341_0,esk340_0) ),
i_0_2319 ).
cnf(c_0_3382,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,k2_group_3(X1,esk167_2(X1,X2),esk166_2(X1,X2))) ),
i_0_1175 ).
cnf(c_0_3383,negated_conjecture,
( v1_group_3(esk341_0,esk340_0)
| r1_rlvect_1(esk341_0,k2_group_3(esk340_0,X1,X2))
| ~ m1_subset_1(X1,u1_struct_0(esk340_0))
| ~ m1_subset_1(X1,u1_struct_0(esk341_0))
| ~ m1_subset_1(X2,u1_struct_0(esk340_0)) ),
i_0_2315 ).
cnf(c_0_3384,negated_conjecture,
~ v1_group_3(esk341_0,esk340_0),
inference(csr,[status(thm)],[inference(csr,[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_3372,c_0_3373]),c_0_3374]),c_0_3375]),c_0_3376]),c_0_3377]),c_0_3378])]),c_0_3379]),c_0_3380]),c_0_3381]) ).
cnf(c_0_3385,negated_conjecture,
( ~ m1_subset_1(esk166_2(esk340_0,esk341_0),u1_struct_0(esk340_0))
| ~ m1_subset_1(esk167_2(esk340_0,esk341_0),u1_struct_0(esk341_0))
| ~ m1_subset_1(esk167_2(esk340_0,esk341_0),u1_struct_0(esk340_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(spm,[status(thm)],[c_0_3382,c_0_3383]),c_0_3374]),c_0_3375]),c_0_3376]),c_0_3377]),c_0_3378])]),c_0_3379]),c_0_3384]) ).
cnf(c_0_3386,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk166_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_1178 ).
cnf(c_0_3387,plain,
( ~ m1_subset_1(esk167_2(esk340_0,esk341_0),u1_struct_0(esk341_0))
| ~ m1_subset_1(esk167_2(esk340_0,esk341_0),u1_struct_0(esk340_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(spm,[status(thm)],[c_0_3385,c_0_3386]),c_0_3374]),c_0_3375]),c_0_3376]),c_0_3377]),c_0_3378])]),c_0_3379]),c_0_3384]) ).
cnf(c_0_3388,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk167_2(X1,X2),u1_struct_0(X2))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_1176 ).
cnf(c_0_3389,plain,
~ m1_subset_1(esk167_2(esk340_0,esk341_0),u1_struct_0(esk340_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(spm,[status(thm)],[c_0_3387,c_0_3388]),c_0_3374]),c_0_3375]),c_0_3376]),c_0_3377]),c_0_3378])]),c_0_3379]),c_0_3384]) ).
cnf(c_0_3390,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk167_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_1177 ).
cnf(c_0_3391,plain,
$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_3389,c_0_3390]),c_0_3374]),c_0_3375]),c_0_3376]),c_0_3377]),c_0_3378])]),c_0_3379]),c_0_3384]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP618+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n014.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 : Mon Jun 13 17:23:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.59 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.59 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.59 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.59 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.32/4.04 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.32/4.04 # No SInE strategy applied
% 11.32/4.04 # Trying AutoSched0 for 150 seconds
% 11.32/4.04 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 11.32/4.04 # and selection function SelectMaxLComplexAvoidPosPred.
% 11.32/4.04 #
% 11.32/4.04 # Preprocessing time : 0.034 s
% 11.32/4.04
% 11.32/4.04 # Proof found!
% 11.32/4.04 # SZS status Theorem
% 11.32/4.04 # SZS output start CNFRefutation
% See solution above
% 11.32/4.04 # Training examples: 0 positive, 0 negative
% 11.32/4.04
% 11.32/4.04 # -------------------------------------------------
% 11.32/4.04 # User time : 0.212 s
% 11.32/4.04 # System time : 0.016 s
% 11.32/4.04 # Total time : 0.228 s
% 11.32/4.04 # Maximum resident set size: 7124 pages
% 11.32/4.04
%------------------------------------------------------------------------------