TSTP Solution File: GRP644+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP644+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 10.60s 3.95s
% Output : CNFRefutation 10.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 19
% Syntax : Number of clauses : 48 ( 25 unt; 17 nHn; 48 RR)
% Number of literals : 155 ( 9 equ; 95 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_228,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/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_228) ).
cnf(i_0_620,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/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_620) ).
cnf(i_0_619,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/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_619) ).
cnf(i_0_618,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/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_618) ).
cnf(i_0_1944,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/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_1944) ).
cnf(i_0_2092,negated_conjecture,
r2_hidden(esk365_0,k1_funct_1(k1_latsubgr(esk363_0),esk364_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_2092) ).
cnf(i_0_2097,negated_conjecture,
v4_group_1(esk363_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_2097) ).
cnf(i_0_2098,negated_conjecture,
v3_group_1(esk363_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_2098) ).
cnf(i_0_2095,negated_conjecture,
v1_group_1(esk364_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_2095) ).
cnf(i_0_2096,negated_conjecture,
l1_group_1(esk363_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_2096) ).
cnf(i_0_2094,negated_conjecture,
m1_group_2(esk364_0,esk363_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_2094) ).
cnf(i_0_2093,negated_conjecture,
m1_subset_1(esk365_0,u1_struct_0(esk363_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_2093) ).
cnf(i_0_2099,negated_conjecture,
~ v3_struct_0(esk363_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_2099) ).
cnf(i_0_588,plain,
( k7_group_2(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_588) ).
cnf(i_0_245,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ r1_rlvect_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_245) ).
cnf(i_0_689,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_689) ).
cnf(i_0_2091,negated_conjecture,
~ r2_hidden(k3_group_1(esk363_0,esk365_0),k1_funct_1(k1_latsubgr(esk363_0),esk364_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_2091) ).
cnf(i_0_4008,plain,
( v3_struct_0(X1)
| r2_hidden(k3_group_1(X1,X2),k7_group_2(X1,X3))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k7_group_2(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_4008) ).
cnf(i_0_684,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejwpqlty/lgb.p',i_0_684) ).
cnf(c_0_4028,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_228 ).
cnf(c_0_4029,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_620 ).
cnf(c_0_4030,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_619 ).
cnf(c_0_4031,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_618 ).
cnf(c_0_4032,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_1944 ).
cnf(c_0_4033,negated_conjecture,
r2_hidden(esk365_0,k1_funct_1(k1_latsubgr(esk363_0),esk364_0)),
i_0_2092 ).
cnf(c_0_4034,negated_conjecture,
v4_group_1(esk363_0),
i_0_2097 ).
cnf(c_0_4035,negated_conjecture,
v3_group_1(esk363_0),
i_0_2098 ).
cnf(c_0_4036,negated_conjecture,
v1_group_1(esk364_0),
i_0_2095 ).
cnf(c_0_4037,negated_conjecture,
l1_group_1(esk363_0),
i_0_2096 ).
cnf(c_0_4038,negated_conjecture,
m1_group_2(esk364_0,esk363_0),
i_0_2094 ).
cnf(c_0_4039,negated_conjecture,
m1_subset_1(esk365_0,u1_struct_0(esk363_0)),
i_0_2093 ).
cnf(c_0_4040,negated_conjecture,
~ v3_struct_0(esk363_0),
i_0_2099 ).
cnf(c_0_4041,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_4028]),c_0_4029]),c_0_4030]),c_0_4031]) ).
cnf(c_0_4042,plain,
( k7_group_2(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_588 ).
cnf(c_0_4043,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ r1_rlvect_1(X2,X1) ),
i_0_245 ).
cnf(c_0_4044,negated_conjecture,
r1_rlvect_1(esk364_0,esk365_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_4032,c_0_4033]),c_0_4034]),c_0_4035]),c_0_4036]),c_0_4037]),c_0_4038]),c_0_4039])]),c_0_4040]) ).
cnf(c_0_4045,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2) ),
i_0_689 ).
cnf(c_0_4046,negated_conjecture,
~ r2_hidden(k3_group_1(esk363_0,esk365_0),k1_funct_1(k1_latsubgr(esk363_0),esk364_0)),
i_0_2091 ).
cnf(c_0_4047,negated_conjecture,
k1_funct_1(k1_latsubgr(esk363_0),esk364_0) = u1_struct_0(esk364_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_4041,c_0_4038]),c_0_4034]),c_0_4035]),c_0_4036]),c_0_4037])]),c_0_4040]) ).
cnf(c_0_4048,plain,
( v3_struct_0(X1)
| r2_hidden(k3_group_1(X1,X2),k7_group_2(X1,X3))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k7_group_2(X1,X3)) ),
i_0_4008 ).
cnf(c_0_4049,negated_conjecture,
k7_group_2(esk363_0,esk364_0) = u1_struct_0(esk364_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_4042,c_0_4038]),c_0_4034]),c_0_4035]),c_0_4037])]),c_0_4040]) ).
cnf(c_0_4050,plain,
( r2_hidden(esk365_0,u1_struct_0(esk364_0))
| ~ l1_struct_0(esk364_0) ),
inference(spm,[status(thm)],[c_0_4043,c_0_4044]) ).
cnf(c_0_4051,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_684 ).
cnf(c_0_4052,negated_conjecture,
l1_group_1(esk364_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4045,c_0_4038]),c_0_4035]),c_0_4037])]),c_0_4040]) ).
cnf(c_0_4053,negated_conjecture,
~ r2_hidden(k3_group_1(esk363_0,esk365_0),u1_struct_0(esk364_0)),
inference(rw,[status(thm)],[c_0_4046,c_0_4047]) ).
cnf(c_0_4054,negated_conjecture,
( r2_hidden(k3_group_1(esk363_0,X1),u1_struct_0(esk364_0))
| ~ m1_subset_1(X1,u1_struct_0(esk363_0))
| ~ r2_hidden(X1,u1_struct_0(esk364_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_4048,c_0_4049]),c_0_4034]),c_0_4035]),c_0_4037]),c_0_4038])]),c_0_4040]) ).
cnf(c_0_4055,plain,
r2_hidden(esk365_0,u1_struct_0(esk364_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4050,c_0_4051]),c_0_4052])]) ).
cnf(c_0_4056,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4053,c_0_4054]),c_0_4039]),c_0_4055])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP644+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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 : Tue Jun 14 02:04:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.46/0.64 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.46/0.64 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.46/0.64 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.60/3.95 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.60/3.95 # No SInE strategy applied
% 10.60/3.95 # Trying AutoSched0 for 150 seconds
% 10.60/3.95 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.60/3.95 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.60/3.95 #
% 10.60/3.95 # Preprocessing time : 0.026 s
% 10.60/3.95 # Presaturation interreduction done
% 10.60/3.95
% 10.60/3.95 # Proof found!
% 10.60/3.95 # SZS status Theorem
% 10.60/3.95 # SZS output start CNFRefutation
% See solution above
% 10.60/3.95 # Training examples: 0 positive, 0 negative
% 10.60/3.95
% 10.60/3.95 # -------------------------------------------------
% 10.60/3.95 # User time : 0.073 s
% 10.60/3.95 # System time : 0.004 s
% 10.60/3.95 # Total time : 0.077 s
% 10.60/3.95 # Maximum resident set size: 7124 pages
% 10.60/3.95
%------------------------------------------------------------------------------