TSTP Solution File: GRP631+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP631+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 08:39:40 EDT 2022
% Result : Theorem 14.68s 7.81s
% Output : CNFRefutation 14.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 33 ( 14 unt; 14 nHn; 33 RR)
% Number of literals : 111 ( 24 equ; 72 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-5 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3851,negated_conjecture,
( k7_funct_2(u1_struct_0(esk676_0),u1_struct_0(esk676_0),u1_struct_0(esk676_0),k6_autgroup(esk676_0,esk677_0),k6_autgroup(esk676_0,k2_group_1(esk676_0))) != k6_autgroup(esk676_0,esk677_0)
| k7_funct_2(u1_struct_0(esk676_0),u1_struct_0(esk676_0),u1_struct_0(esk676_0),k6_autgroup(esk676_0,k2_group_1(esk676_0)),k6_autgroup(esk676_0,esk677_0)) != k6_autgroup(esk676_0,esk677_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z9svtcxv/lgb.p',i_0_3851) ).
cnf(i_0_3425,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) = k6_autgroup(X1,k1_group_1(X1,X2,X3))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_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-z9svtcxv/lgb.p',i_0_3425) ).
cnf(i_0_3854,negated_conjecture,
v4_group_1(esk676_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z9svtcxv/lgb.p',i_0_3854) ).
cnf(i_0_3855,negated_conjecture,
v3_group_1(esk676_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z9svtcxv/lgb.p',i_0_3855) ).
cnf(i_0_3856,negated_conjecture,
v1_group_1(esk676_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z9svtcxv/lgb.p',i_0_3856) ).
cnf(i_0_3853,negated_conjecture,
l1_group_1(esk676_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z9svtcxv/lgb.p',i_0_3853) ).
cnf(i_0_3852,negated_conjecture,
m1_subset_1(esk677_0,u1_struct_0(esk676_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z9svtcxv/lgb.p',i_0_3852) ).
cnf(i_0_3857,negated_conjecture,
~ v3_struct_0(esk676_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z9svtcxv/lgb.p',i_0_3857) ).
cnf(i_0_4669,plain,
( k1_group_1(X1,X2,X3) = k1_group_1(X1,X3,X2)
| v3_struct_0(X1)
| k2_group_5(X1,X2,X3) != k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_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-z9svtcxv/lgb.p',i_0_4669) ).
cnf(i_0_3325,plain,
( k2_group_5(X1,X2,k2_group_1(X1)) = k2_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z9svtcxv/lgb.p',i_0_3325) ).
cnf(i_0_885,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z9svtcxv/lgb.p',i_0_885) ).
cnf(i_0_683,plain,
( k1_group_1(X1,X2,X3) = X2
| v3_struct_0(X1)
| X3 != k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v2_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-z9svtcxv/lgb.p',i_0_683) ).
cnf(i_0_18,plain,
( v3_struct_0(X1)
| v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z9svtcxv/lgb.p',i_0_18) ).
cnf(c_0_4683,negated_conjecture,
( k7_funct_2(u1_struct_0(esk676_0),u1_struct_0(esk676_0),u1_struct_0(esk676_0),k6_autgroup(esk676_0,esk677_0),k6_autgroup(esk676_0,k2_group_1(esk676_0))) != k6_autgroup(esk676_0,esk677_0)
| k7_funct_2(u1_struct_0(esk676_0),u1_struct_0(esk676_0),u1_struct_0(esk676_0),k6_autgroup(esk676_0,k2_group_1(esk676_0)),k6_autgroup(esk676_0,esk677_0)) != k6_autgroup(esk676_0,esk677_0) ),
i_0_3851 ).
cnf(c_0_4684,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) = k6_autgroup(X1,k1_group_1(X1,X2,X3))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_3425 ).
cnf(c_0_4685,negated_conjecture,
v4_group_1(esk676_0),
i_0_3854 ).
cnf(c_0_4686,negated_conjecture,
v3_group_1(esk676_0),
i_0_3855 ).
cnf(c_0_4687,negated_conjecture,
v1_group_1(esk676_0),
i_0_3856 ).
cnf(c_0_4688,negated_conjecture,
l1_group_1(esk676_0),
i_0_3853 ).
cnf(c_0_4689,negated_conjecture,
m1_subset_1(esk677_0,u1_struct_0(esk676_0)),
i_0_3852 ).
cnf(c_0_4690,negated_conjecture,
~ v3_struct_0(esk676_0),
i_0_3857 ).
cnf(c_0_4691,negated_conjecture,
( k7_funct_2(u1_struct_0(esk676_0),u1_struct_0(esk676_0),u1_struct_0(esk676_0),k6_autgroup(esk676_0,esk677_0),k6_autgroup(esk676_0,k2_group_1(esk676_0))) != k6_autgroup(esk676_0,esk677_0)
| k6_autgroup(esk676_0,k1_group_1(esk676_0,k2_group_1(esk676_0),esk677_0)) != k6_autgroup(esk676_0,esk677_0)
| ~ m1_subset_1(k2_group_1(esk676_0),u1_struct_0(esk676_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(spm,[status(thm)],[c_0_4683,c_0_4684]),c_0_4685]),c_0_4686]),c_0_4687]),c_0_4688]),c_0_4689])]),c_0_4690]) ).
cnf(c_0_4692,plain,
( k1_group_1(X1,X2,X3) = k1_group_1(X1,X3,X2)
| v3_struct_0(X1)
| k2_group_5(X1,X2,X3) != k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_4669 ).
cnf(c_0_4693,plain,
( k2_group_5(X1,X2,k2_group_1(X1)) = k2_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_3325 ).
cnf(c_0_4694,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
i_0_885 ).
cnf(c_0_4695,plain,
( k6_autgroup(esk676_0,k1_group_1(esk676_0,esk677_0,k2_group_1(esk676_0))) != k6_autgroup(esk676_0,esk677_0)
| k6_autgroup(esk676_0,k1_group_1(esk676_0,k2_group_1(esk676_0),esk677_0)) != k6_autgroup(esk676_0,esk677_0)
| ~ m1_subset_1(k2_group_1(esk676_0),u1_struct_0(esk676_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(spm,[status(thm)],[c_0_4691,c_0_4684]),c_0_4685]),c_0_4686]),c_0_4687]),c_0_4688]),c_0_4689])]),c_0_4690]) ).
cnf(c_0_4696,plain,
( k1_group_1(X1,X2,k2_group_1(X1)) = k1_group_1(X1,k2_group_1(X1),X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4692,c_0_4693]),c_0_4694]) ).
cnf(c_0_4697,plain,
( k1_group_1(X1,X2,X3) = X2
| v3_struct_0(X1)
| X3 != k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v2_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_683 ).
cnf(c_0_4698,plain,
( v3_struct_0(X1)
| v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_18 ).
cnf(c_0_4699,plain,
( k6_autgroup(esk676_0,k1_group_1(esk676_0,esk677_0,k2_group_1(esk676_0))) != k6_autgroup(esk676_0,esk677_0)
| ~ m1_subset_1(k2_group_1(esk676_0),u1_struct_0(esk676_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_4695,c_0_4696]),c_0_4685]),c_0_4686]),c_0_4688]),c_0_4689])]),c_0_4690]) ).
cnf(c_0_4700,plain,
( k1_group_1(X1,X2,X3) = X2
| v3_struct_0(X1)
| X3 != k2_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_4697,c_0_4698]) ).
cnf(c_0_4701,plain,
~ m1_subset_1(k2_group_1(esk676_0),u1_struct_0(esk676_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_4699,c_0_4700]),c_0_4686]),c_0_4688]),c_0_4689])]),c_0_4690]) ).
cnf(c_0_4702,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4701,c_0_4694]),c_0_4688])]),c_0_4690]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP631+4 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Mon Jun 13 13:45:32 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.38 # ENIGMATIC: Selected SinE mode:
% 1.34/1.53 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.34/1.53 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.34/1.53 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.34/1.53 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 14.68/7.81 # ENIGMATIC: Solved by autoschedule-lgb:
% 14.68/7.81 # No SInE strategy applied
% 14.68/7.81 # Trying AutoSched0 for 148 seconds
% 14.68/7.81 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 14.68/7.81 # and selection function SelectMaxLComplexAvoidPosPred.
% 14.68/7.81 #
% 14.68/7.81 # Preprocessing time : 0.034 s
% 14.68/7.81
% 14.68/7.81 # Proof found!
% 14.68/7.81 # SZS status Theorem
% 14.68/7.81 # SZS output start CNFRefutation
% See solution above
% 14.68/7.81 # Training examples: 0 positive, 0 negative
% 14.68/7.81
% 14.68/7.81 # -------------------------------------------------
% 14.68/7.81 # User time : 0.315 s
% 14.68/7.81 # System time : 0.008 s
% 14.68/7.81 # Total time : 0.323 s
% 14.68/7.81 # Maximum resident set size: 7124 pages
% 14.68/7.81
%------------------------------------------------------------------------------