TSTP Solution File: GRP643+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP643+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 08:39:50 EDT 2022
% Result : Theorem 23.95s 6.54s
% Output : CNFRefutation 23.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of clauses : 49 ( 28 unt; 17 nHn; 49 RR)
% Number of literals : 168 ( 6 equ; 108 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_424,plain,
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_latsubgr(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v1_funct_1(X1)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ m1_group_2(X2,X3)
| ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_424) ).
cnf(i_0_944,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_944) ).
cnf(i_0_943,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_943) ).
cnf(i_0_942,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_942) ).
cnf(i_0_941,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_941) ).
cnf(i_0_2945,negated_conjecture,
m1_subset_1(esk520_0,u1_struct_0(esk517_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2945) ).
cnf(i_0_2949,negated_conjecture,
l1_group_1(esk517_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2949) ).
cnf(i_0_2952,negated_conjecture,
~ v3_struct_0(esk517_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2952) ).
cnf(i_0_2947,negated_conjecture,
m1_group_2(esk518_0,esk517_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2947) ).
cnf(i_0_2950,negated_conjecture,
v4_group_1(esk517_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2950) ).
cnf(i_0_2951,negated_conjecture,
v3_group_1(esk517_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2951) ).
cnf(i_0_2948,negated_conjecture,
v1_group_1(esk518_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2948) ).
cnf(i_0_2729,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_funct_1(k1_latsubgr(X1),X3))
| ~ l1_group_1(X1)
| ~ v1_group_1(X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2729) ).
cnf(i_0_2942,negated_conjecture,
~ r2_hidden(k1_group_1(esk517_0,esk519_0,esk520_0),k1_funct_1(k1_latsubgr(esk517_0),esk518_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2942) ).
cnf(i_0_2946,negated_conjecture,
m1_subset_1(esk519_0,u1_struct_0(esk517_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2946) ).
cnf(i_0_4590,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k1_group_1(X1,X3,X4))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,X4)
| ~ r1_rlvect_1(X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_4590) ).
cnf(i_0_2730,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,X3)
| ~ l1_group_1(X1)
| ~ v1_group_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2730) ).
cnf(i_0_2943,negated_conjecture,
r2_hidden(esk520_0,k1_funct_1(k1_latsubgr(esk517_0),esk518_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2943) ).
cnf(i_0_2944,negated_conjecture,
r2_hidden(esk519_0,k1_funct_1(k1_latsubgr(esk517_0),esk518_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zg2jylgn/lgb.p',i_0_2944) ).
cnf(c_0_4610,plain,
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_latsubgr(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v1_funct_1(X1)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ m1_group_2(X2,X3)
| ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
i_0_424 ).
cnf(c_0_4611,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_944 ).
cnf(c_0_4612,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_943 ).
cnf(c_0_4613,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_942 ).
cnf(c_0_4614,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_941 ).
cnf(c_0_4615,negated_conjecture,
m1_subset_1(esk520_0,u1_struct_0(esk517_0)),
i_0_2945 ).
cnf(c_0_4616,negated_conjecture,
l1_group_1(esk517_0),
i_0_2949 ).
cnf(c_0_4617,negated_conjecture,
~ v3_struct_0(esk517_0),
i_0_2952 ).
cnf(c_0_4618,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_4610]),c_0_4611]),c_0_4612]),c_0_4613]) ).
cnf(c_0_4619,negated_conjecture,
m1_group_2(esk518_0,esk517_0),
i_0_2947 ).
cnf(c_0_4620,negated_conjecture,
v4_group_1(esk517_0),
i_0_2950 ).
cnf(c_0_4621,negated_conjecture,
v3_group_1(esk517_0),
i_0_2951 ).
cnf(c_0_4622,negated_conjecture,
v1_group_1(esk518_0),
i_0_2948 ).
cnf(c_0_4623,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_funct_1(k1_latsubgr(X1),X3))
| ~ l1_group_1(X1)
| ~ v1_group_1(X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2729 ).
cnf(c_0_4624,negated_conjecture,
( m1_subset_1(k1_group_1(esk517_0,X1,esk520_0),u1_struct_0(esk517_0))
| ~ m1_subset_1(X1,u1_struct_0(esk517_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4614,c_0_4615]),c_0_4616])]),c_0_4617]) ).
cnf(c_0_4625,negated_conjecture,
~ r2_hidden(k1_group_1(esk517_0,esk519_0,esk520_0),k1_funct_1(k1_latsubgr(esk517_0),esk518_0)),
i_0_2942 ).
cnf(c_0_4626,negated_conjecture,
k1_funct_1(k1_latsubgr(esk517_0),esk518_0) = u1_struct_0(esk518_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_4618,c_0_4619]),c_0_4620]),c_0_4621]),c_0_4622]),c_0_4616])]),c_0_4617]) ).
cnf(c_0_4627,negated_conjecture,
( r2_hidden(k1_group_1(esk517_0,X1,esk520_0),k1_funct_1(k1_latsubgr(esk517_0),X2))
| ~ r1_rlvect_1(X2,k1_group_1(esk517_0,X1,esk520_0))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,esk517_0)
| ~ m1_subset_1(X1,u1_struct_0(esk517_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_4623,c_0_4624]),c_0_4620]),c_0_4621]),c_0_4616])]),c_0_4617]) ).
cnf(c_0_4628,negated_conjecture,
~ r2_hidden(k1_group_1(esk517_0,esk519_0,esk520_0),u1_struct_0(esk518_0)),
inference(rw,[status(thm)],[c_0_4625,c_0_4626]) ).
cnf(c_0_4629,negated_conjecture,
( r2_hidden(k1_group_1(esk517_0,X1,esk520_0),u1_struct_0(esk518_0))
| ~ r1_rlvect_1(esk518_0,k1_group_1(esk517_0,X1,esk520_0))
| ~ m1_subset_1(X1,u1_struct_0(esk517_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4627,c_0_4626]),c_0_4622]),c_0_4619])]) ).
cnf(c_0_4630,negated_conjecture,
m1_subset_1(esk519_0,u1_struct_0(esk517_0)),
i_0_2946 ).
cnf(c_0_4631,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k1_group_1(X1,X3,X4))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,X4)
| ~ r1_rlvect_1(X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
i_0_4590 ).
cnf(c_0_4632,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,X3)
| ~ l1_group_1(X1)
| ~ v1_group_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
i_0_2730 ).
cnf(c_0_4633,negated_conjecture,
r2_hidden(esk520_0,k1_funct_1(k1_latsubgr(esk517_0),esk518_0)),
i_0_2943 ).
cnf(c_0_4634,negated_conjecture,
r2_hidden(esk519_0,k1_funct_1(k1_latsubgr(esk517_0),esk518_0)),
i_0_2944 ).
cnf(c_0_4635,negated_conjecture,
~ r1_rlvect_1(esk518_0,k1_group_1(esk517_0,esk519_0,esk520_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4628,c_0_4629]),c_0_4630])]) ).
cnf(c_0_4636,negated_conjecture,
( r1_rlvect_1(X1,k1_group_1(esk517_0,X2,esk520_0))
| ~ r1_rlvect_1(X1,esk520_0)
| ~ r1_rlvect_1(X1,X2)
| ~ m1_group_2(X1,esk517_0)
| ~ m1_subset_1(X2,u1_struct_0(esk517_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_4631,c_0_4615]),c_0_4620]),c_0_4621]),c_0_4616])]),c_0_4617]) ).
cnf(c_0_4637,negated_conjecture,
r1_rlvect_1(esk518_0,esk520_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4632,c_0_4633]),c_0_4620]),c_0_4621]),c_0_4622]),c_0_4616]),c_0_4619]),c_0_4615])]),c_0_4617]) ).
cnf(c_0_4638,negated_conjecture,
r1_rlvect_1(esk518_0,esk519_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4632,c_0_4634]),c_0_4620]),c_0_4621]),c_0_4622]),c_0_4616]),c_0_4619]),c_0_4630])]),c_0_4617]) ).
cnf(c_0_4639,negated_conjecture,
$false,
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_4635,c_0_4636]),c_0_4637]),c_0_4638]),c_0_4619]),c_0_4630])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP643+3 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 13:42:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.76/0.96 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.96 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.76/0.96 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.76/0.96 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 23.95/6.54 # ENIGMATIC: Solved by autoschedule-lgb:
% 23.95/6.54 # No SInE strategy applied
% 23.95/6.54 # Trying AutoSched0 for 149 seconds
% 23.95/6.54 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 23.95/6.54 # and selection function SelectComplexExceptUniqMaxHorn.
% 23.95/6.54 #
% 23.95/6.54 # Preprocessing time : 0.029 s
% 23.95/6.54 # Presaturation interreduction done
% 23.95/6.54
% 23.95/6.54 # Proof found!
% 23.95/6.54 # SZS status Theorem
% 23.95/6.54 # SZS output start CNFRefutation
% See solution above
% 23.95/6.54 # Training examples: 0 positive, 0 negative
% 23.95/6.54
% 23.95/6.54 # -------------------------------------------------
% 23.95/6.54 # User time : 1.513 s
% 23.95/6.54 # System time : 0.044 s
% 23.95/6.54 # Total time : 1.557 s
% 23.95/6.54 # Maximum resident set size: 7124 pages
% 23.95/6.54
%------------------------------------------------------------------------------