TSTP Solution File: GRP618+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP618+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 43.50s 9.01s
% Output : CNFRefutation 43.50s
% 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_1380,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_3(X1,X3,X4))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_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/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_1380) ).
cnf(i_0_4423,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/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_4423) ).
cnf(i_0_2910,negated_conjecture,
( ~ v1_group_3(esk431_0,esk430_0)
| ~ r1_rlvect_1(esk431_0,k2_group_3(esk430_0,esk433_0,esk432_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_2910) ).
cnf(i_0_2914,negated_conjecture,
m1_group_2(esk431_0,esk430_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_2914) ).
cnf(i_0_2917,negated_conjecture,
v3_group_1(esk430_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_2917) ).
cnf(i_0_2916,negated_conjecture,
v4_group_1(esk430_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_2916) ).
cnf(i_0_2918,negated_conjecture,
v1_group_1(esk430_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_2918) ).
cnf(i_0_2915,negated_conjecture,
l1_group_1(esk430_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_2915) ).
cnf(i_0_2919,negated_conjecture,
~ v3_struct_0(esk430_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_2919) ).
cnf(i_0_2911,negated_conjecture,
( m1_subset_1(esk433_0,u1_struct_0(esk431_0))
| ~ v1_group_3(esk431_0,esk430_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_2911) ).
cnf(i_0_2913,negated_conjecture,
( m1_subset_1(esk432_0,u1_struct_0(esk430_0))
| ~ v1_group_3(esk431_0,esk430_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_2913) ).
cnf(i_0_1376,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,k2_group_3(X1,esk205_2(X1,X2),esk204_2(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_1376) ).
cnf(i_0_2909,negated_conjecture,
( v1_group_3(esk431_0,esk430_0)
| r1_rlvect_1(esk431_0,k2_group_3(esk430_0,X1,X2))
| ~ m1_subset_1(X1,u1_struct_0(esk430_0))
| ~ m1_subset_1(X1,u1_struct_0(esk431_0))
| ~ m1_subset_1(X2,u1_struct_0(esk430_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_2909) ).
cnf(i_0_1379,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk204_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_1379) ).
cnf(i_0_1377,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk205_2(X1,X2),u1_struct_0(X2))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_1377) ).
cnf(i_0_1378,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk205_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lm81m77z/input.p',i_0_1378) ).
cnf(c_0_4440,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_3(X1,X3,X4))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_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_1380 ).
cnf(c_0_4441,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_4423 ).
cnf(c_0_4442,negated_conjecture,
( ~ v1_group_3(esk431_0,esk430_0)
| ~ r1_rlvect_1(esk431_0,k2_group_3(esk430_0,esk433_0,esk432_0)) ),
i_0_2910 ).
cnf(c_0_4443,plain,
( r1_rlvect_1(X1,k2_group_3(X2,X3,X4))
| v3_struct_0(X2)
| ~ v1_group_3(X1,X2)
| ~ m1_group_2(X1,X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ v1_group_1(X2)
| ~ l1_group_1(X2) ),
inference(csr,[status(thm)],[c_0_4440,c_0_4441]) ).
cnf(c_0_4444,negated_conjecture,
m1_group_2(esk431_0,esk430_0),
i_0_2914 ).
cnf(c_0_4445,negated_conjecture,
v3_group_1(esk430_0),
i_0_2917 ).
cnf(c_0_4446,negated_conjecture,
v4_group_1(esk430_0),
i_0_2916 ).
cnf(c_0_4447,negated_conjecture,
v1_group_1(esk430_0),
i_0_2918 ).
cnf(c_0_4448,negated_conjecture,
l1_group_1(esk430_0),
i_0_2915 ).
cnf(c_0_4449,negated_conjecture,
~ v3_struct_0(esk430_0),
i_0_2919 ).
cnf(c_0_4450,negated_conjecture,
( m1_subset_1(esk433_0,u1_struct_0(esk431_0))
| ~ v1_group_3(esk431_0,esk430_0) ),
i_0_2911 ).
cnf(c_0_4451,negated_conjecture,
( m1_subset_1(esk432_0,u1_struct_0(esk430_0))
| ~ v1_group_3(esk431_0,esk430_0) ),
i_0_2913 ).
cnf(c_0_4452,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,k2_group_3(X1,esk205_2(X1,X2),esk204_2(X1,X2))) ),
i_0_1376 ).
cnf(c_0_4453,negated_conjecture,
( v1_group_3(esk431_0,esk430_0)
| r1_rlvect_1(esk431_0,k2_group_3(esk430_0,X1,X2))
| ~ m1_subset_1(X1,u1_struct_0(esk430_0))
| ~ m1_subset_1(X1,u1_struct_0(esk431_0))
| ~ m1_subset_1(X2,u1_struct_0(esk430_0)) ),
i_0_2909 ).
cnf(c_0_4454,negated_conjecture,
~ v1_group_3(esk431_0,esk430_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_4442,c_0_4443]),c_0_4444]),c_0_4445]),c_0_4446]),c_0_4447]),c_0_4448])]),c_0_4449]),c_0_4450]),c_0_4451]) ).
cnf(c_0_4455,negated_conjecture,
( ~ m1_subset_1(esk204_2(esk430_0,esk431_0),u1_struct_0(esk430_0))
| ~ m1_subset_1(esk205_2(esk430_0,esk431_0),u1_struct_0(esk430_0))
| ~ m1_subset_1(esk205_2(esk430_0,esk431_0),u1_struct_0(esk431_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_4452,c_0_4453]),c_0_4444]),c_0_4445]),c_0_4446]),c_0_4447]),c_0_4448])]),c_0_4449]),c_0_4454]) ).
cnf(c_0_4456,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk204_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_1379 ).
cnf(c_0_4457,plain,
( ~ m1_subset_1(esk205_2(esk430_0,esk431_0),u1_struct_0(esk430_0))
| ~ m1_subset_1(esk205_2(esk430_0,esk431_0),u1_struct_0(esk431_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_4455,c_0_4456]),c_0_4444]),c_0_4445]),c_0_4446]),c_0_4447]),c_0_4448])]),c_0_4454]),c_0_4449]) ).
cnf(c_0_4458,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk205_2(X1,X2),u1_struct_0(X2))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_1377 ).
cnf(c_0_4459,plain,
~ m1_subset_1(esk205_2(esk430_0,esk431_0),u1_struct_0(esk430_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_4457,c_0_4458]),c_0_4444]),c_0_4445]),c_0_4446]),c_0_4447]),c_0_4448])]),c_0_4454]),c_0_4449]) ).
cnf(c_0_4460,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk205_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_1378 ).
cnf(c_0_4461,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_4459,c_0_4460]),c_0_4444]),c_0_4445]),c_0_4446]),c_0_4447]),c_0_4448])]),c_0_4454]),c_0_4449]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP618+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n016.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 : Mon Jun 13 21:54:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.70/0.88 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/0.88 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.70/0.88 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.70/0.88 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 43.50/9.01 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 43.50/9.01 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 60; version: 991; iters: 150)
% 43.50/9.01 # Preprocessing time : 4.022 s
% 43.50/9.01
% 43.50/9.01 # Proof found!
% 43.50/9.01 # SZS status Theorem
% 43.50/9.01 # SZS output start CNFRefutation
% See solution above
% 43.50/9.01 # Training examples: 0 positive, 0 negative
% 43.50/9.01
% 43.50/9.01 # -------------------------------------------------
% 43.50/9.01 # User time : 3.925 s
% 43.50/9.01 # System time : 0.158 s
% 43.50/9.01 # Total time : 4.083 s
% 43.50/9.01 # ...preprocessing : 4.022 s
% 43.50/9.01 # ...main loop : 0.061 s
% 43.50/9.01 # Maximum resident set size: 191836 pages
% 43.50/9.01
%------------------------------------------------------------------------------