TSTP Solution File: GRP644+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP644+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 08:39:51 EDT 2022
% Result : Theorem 10.62s 4.71s
% Output : CNFRefutation 10.62s
% 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_413,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-srxd2vmc/lgb.p',i_0_413) ).
cnf(i_0_879,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-srxd2vmc/lgb.p',i_0_879) ).
cnf(i_0_878,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-srxd2vmc/lgb.p',i_0_878) ).
cnf(i_0_877,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-srxd2vmc/lgb.p',i_0_877) ).
cnf(i_0_2592,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-srxd2vmc/lgb.p',i_0_2592) ).
cnf(i_0_2821,negated_conjecture,
r2_hidden(esk460_0,k1_funct_1(k1_latsubgr(esk458_0),esk459_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_2821) ).
cnf(i_0_2826,negated_conjecture,
v4_group_1(esk458_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_2826) ).
cnf(i_0_2827,negated_conjecture,
v3_group_1(esk458_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_2827) ).
cnf(i_0_2824,negated_conjecture,
v1_group_1(esk459_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_2824) ).
cnf(i_0_2825,negated_conjecture,
l1_group_1(esk458_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_2825) ).
cnf(i_0_2823,negated_conjecture,
m1_group_2(esk459_0,esk458_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_2823) ).
cnf(i_0_2822,negated_conjecture,
m1_subset_1(esk460_0,u1_struct_0(esk458_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_2822) ).
cnf(i_0_2828,negated_conjecture,
~ v3_struct_0(esk458_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_2828) ).
cnf(i_0_818,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/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_818) ).
cnf(i_0_429,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ r1_rlvect_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_429) ).
cnf(i_0_968,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/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_968) ).
cnf(i_0_2820,negated_conjecture,
~ r2_hidden(k3_group_1(esk458_0,esk460_0),k1_funct_1(k1_latsubgr(esk458_0),esk459_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_2820) ).
cnf(i_0_5205,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/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_5205) ).
cnf(i_0_955,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxd2vmc/lgb.p',i_0_955) ).
cnf(c_0_5225,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_413 ).
cnf(c_0_5226,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_879 ).
cnf(c_0_5227,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_878 ).
cnf(c_0_5228,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_877 ).
cnf(c_0_5229,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_2592 ).
cnf(c_0_5230,negated_conjecture,
r2_hidden(esk460_0,k1_funct_1(k1_latsubgr(esk458_0),esk459_0)),
i_0_2821 ).
cnf(c_0_5231,negated_conjecture,
v4_group_1(esk458_0),
i_0_2826 ).
cnf(c_0_5232,negated_conjecture,
v3_group_1(esk458_0),
i_0_2827 ).
cnf(c_0_5233,negated_conjecture,
v1_group_1(esk459_0),
i_0_2824 ).
cnf(c_0_5234,negated_conjecture,
l1_group_1(esk458_0),
i_0_2825 ).
cnf(c_0_5235,negated_conjecture,
m1_group_2(esk459_0,esk458_0),
i_0_2823 ).
cnf(c_0_5236,negated_conjecture,
m1_subset_1(esk460_0,u1_struct_0(esk458_0)),
i_0_2822 ).
cnf(c_0_5237,negated_conjecture,
~ v3_struct_0(esk458_0),
i_0_2828 ).
cnf(c_0_5238,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_5225]),c_0_5226]),c_0_5227]),c_0_5228]) ).
cnf(c_0_5239,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_818 ).
cnf(c_0_5240,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ r1_rlvect_1(X2,X1) ),
i_0_429 ).
cnf(c_0_5241,negated_conjecture,
r1_rlvect_1(esk459_0,esk460_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_5229,c_0_5230]),c_0_5231]),c_0_5232]),c_0_5233]),c_0_5234]),c_0_5235]),c_0_5236])]),c_0_5237]) ).
cnf(c_0_5242,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2) ),
i_0_968 ).
cnf(c_0_5243,negated_conjecture,
~ r2_hidden(k3_group_1(esk458_0,esk460_0),k1_funct_1(k1_latsubgr(esk458_0),esk459_0)),
i_0_2820 ).
cnf(c_0_5244,negated_conjecture,
k1_funct_1(k1_latsubgr(esk458_0),esk459_0) = u1_struct_0(esk459_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_5238,c_0_5235]),c_0_5231]),c_0_5232]),c_0_5233]),c_0_5234])]),c_0_5237]) ).
cnf(c_0_5245,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_5205 ).
cnf(c_0_5246,negated_conjecture,
k7_group_2(esk458_0,esk459_0) = u1_struct_0(esk459_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_5239,c_0_5235]),c_0_5231]),c_0_5232]),c_0_5234])]),c_0_5237]) ).
cnf(c_0_5247,plain,
( r2_hidden(esk460_0,u1_struct_0(esk459_0))
| ~ l1_struct_0(esk459_0) ),
inference(spm,[status(thm)],[c_0_5240,c_0_5241]) ).
cnf(c_0_5248,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_955 ).
cnf(c_0_5249,negated_conjecture,
l1_group_1(esk459_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5242,c_0_5235]),c_0_5232]),c_0_5234])]),c_0_5237]) ).
cnf(c_0_5250,negated_conjecture,
~ r2_hidden(k3_group_1(esk458_0,esk460_0),u1_struct_0(esk459_0)),
inference(rw,[status(thm)],[c_0_5243,c_0_5244]) ).
cnf(c_0_5251,negated_conjecture,
( r2_hidden(k3_group_1(esk458_0,X1),u1_struct_0(esk459_0))
| ~ m1_subset_1(X1,u1_struct_0(esk458_0))
| ~ r2_hidden(X1,u1_struct_0(esk459_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_5245,c_0_5246]),c_0_5231]),c_0_5232]),c_0_5234]),c_0_5235])]),c_0_5237]) ).
cnf(c_0_5252,plain,
r2_hidden(esk460_0,u1_struct_0(esk459_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5247,c_0_5248]),c_0_5249])]) ).
cnf(c_0_5253,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5250,c_0_5251]),c_0_5236]),c_0_5252])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP644+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n006.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 05:34:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.66/0.93 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.93 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.66/0.93 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.66/0.93 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.62/4.71 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.62/4.71 # No SInE strategy applied
% 10.62/4.71 # Trying AutoSched0 for 149 seconds
% 10.62/4.71 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.62/4.71 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.62/4.71 #
% 10.62/4.71 # Preprocessing time : 0.028 s
% 10.62/4.71 # Presaturation interreduction done
% 10.62/4.71
% 10.62/4.71 # Proof found!
% 10.62/4.71 # SZS status Theorem
% 10.62/4.71 # SZS output start CNFRefutation
% See solution above
% 10.62/4.71 # Training examples: 0 positive, 0 negative
% 10.62/4.71
% 10.62/4.71 # -------------------------------------------------
% 10.62/4.71 # User time : 0.074 s
% 10.62/4.71 # System time : 0.006 s
% 10.62/4.71 # Total time : 0.080 s
% 10.62/4.71 # Maximum resident set size: 7128 pages
% 10.62/4.71
%------------------------------------------------------------------------------