TSTP Solution File: GRP618+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 08:39:28 EDT 2022
% Result : Theorem 8.50s 2.43s
% Output : CNFRefutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 44 ( 18 unt; 17 nHn; 44 RR)
% Number of literals : 147 ( 0 equ; 85 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 : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_125,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk26_2(X1,X2),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_125) ).
cnf(i_0_6,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
v1_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_10) ).
cnf(i_0_11,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_11) ).
cnf(i_0_1,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X1,X2))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_1) ).
cnf(i_0_123,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk27_2(X1,X2),u1_struct_0(X2))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_123) ).
cnf(i_0_124,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk27_2(X1,X2),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_124) ).
cnf(i_0_122,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,k2_group_3(X1,esk27_2(X1,X2),esk26_2(X1,X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_122) ).
cnf(i_0_5,negated_conjecture,
( m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_5) ).
cnf(i_0_2,negated_conjecture,
( ~ v1_group_3(esk2_0,esk1_0)
| ~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_2) ).
cnf(i_0_126,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_3(X1,X3,X4))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_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/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_126) ).
cnf(i_0_4,negated_conjecture,
( m1_subset_1(esk4_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_4) ).
cnf(i_0_3,negated_conjecture,
( m1_subset_1(esk4_0,u1_struct_0(esk2_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3qwfbody/lgb.p',i_0_3) ).
cnf(c_0_143,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk26_2(X1,X2),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_125 ).
cnf(c_0_144,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
i_0_6 ).
cnf(c_0_145,negated_conjecture,
l1_group_1(esk1_0),
i_0_7 ).
cnf(c_0_146,negated_conjecture,
v4_group_1(esk1_0),
i_0_8 ).
cnf(c_0_147,negated_conjecture,
v3_group_1(esk1_0),
i_0_9 ).
cnf(c_0_148,negated_conjecture,
v1_group_1(esk1_0),
i_0_10 ).
cnf(c_0_149,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_11 ).
cnf(c_0_150,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X1,X2))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
i_0_1 ).
cnf(c_0_151,negated_conjecture,
( m1_subset_1(esk26_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| v1_group_3(esk2_0,esk1_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_143,c_0_144]),c_0_145]),c_0_146]),c_0_147]),c_0_148])]),c_0_149]) ).
cnf(c_0_152,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk27_2(X1,X2),u1_struct_0(X2))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_123 ).
cnf(c_0_153,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk27_2(X1,X2),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_124 ).
cnf(c_0_154,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X1,esk26_2(esk1_0,esk2_0)))
| v1_group_3(esk2_0,esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_155,negated_conjecture,
( m1_subset_1(esk27_2(esk1_0,esk2_0),u1_struct_0(esk2_0))
| v1_group_3(esk2_0,esk1_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_152,c_0_144]),c_0_145]),c_0_146]),c_0_147]),c_0_148])]),c_0_149]) ).
cnf(c_0_156,negated_conjecture,
( m1_subset_1(esk27_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| v1_group_3(esk2_0,esk1_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_153,c_0_144]),c_0_145]),c_0_146]),c_0_147]),c_0_148])]),c_0_149]) ).
cnf(c_0_157,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,k2_group_3(X1,esk27_2(X1,X2),esk26_2(X1,X2))) ),
i_0_122 ).
cnf(c_0_158,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk27_2(esk1_0,esk2_0),esk26_2(esk1_0,esk2_0)))
| v1_group_3(esk2_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]) ).
cnf(c_0_159,negated_conjecture,
( m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
i_0_5 ).
cnf(c_0_160,plain,
v1_group_3(esk2_0,esk1_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_157,c_0_158]),c_0_145]),c_0_146]),c_0_147]),c_0_148]),c_0_144])]),c_0_149]) ).
cnf(c_0_161,negated_conjecture,
( ~ v1_group_3(esk2_0,esk1_0)
| ~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0)) ),
i_0_2 ).
cnf(c_0_162,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_3(X1,X3,X4))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_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_126 ).
cnf(c_0_163,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160])]) ).
cnf(c_0_164,negated_conjecture,
( m1_subset_1(esk4_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
i_0_4 ).
cnf(c_0_165,negated_conjecture,
( m1_subset_1(esk4_0,u1_struct_0(esk2_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
i_0_3 ).
cnf(c_0_166,negated_conjecture,
~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_160])]) ).
cnf(c_0_167,plain,
( r1_rlvect_1(X1,k2_group_3(esk1_0,X2,esk3_0))
| ~ m1_group_2(X1,esk1_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v1_group_3(X1,esk1_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_162,c_0_163]),c_0_145]),c_0_146]),c_0_147]),c_0_148])]),c_0_149]) ).
cnf(c_0_168,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_160])]) ).
cnf(c_0_169,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_160])]) ).
cnf(c_0_170,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_166,c_0_167]),c_0_144]),c_0_168]),c_0_169]),c_0_160])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n024.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 19:47:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.50/2.43 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.50/2.43 # No SInE strategy applied
% 8.50/2.43 # Trying AutoSched0 for 150 seconds
% 8.50/2.43 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.50/2.43 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.50/2.43 #
% 8.50/2.43 # Preprocessing time : 0.024 s
% 8.50/2.43 # Presaturation interreduction done
% 8.50/2.43
% 8.50/2.43 # Proof found!
% 8.50/2.43 # SZS status Theorem
% 8.50/2.43 # SZS output start CNFRefutation
% See solution above
% 8.50/2.43 # Training examples: 0 positive, 0 negative
% 8.50/2.43
% 8.50/2.43 # -------------------------------------------------
% 8.50/2.43 # User time : 0.032 s
% 8.50/2.43 # System time : 0.010 s
% 8.50/2.43 # Total time : 0.043 s
% 8.50/2.43 # Maximum resident set size: 7120 pages
% 8.50/2.43
%------------------------------------------------------------------------------