TSTP Solution File: GRP628+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP628+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 08:39:37 EDT 2022
% Result : Theorem 8.29s 2.54s
% Output : CNFRefutation 8.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 53 ( 23 unt; 28 nHn; 53 RR)
% Number of literals : 196 ( 21 equ; 120 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_148,plain,
( k3_group_1(X1,X2) = k3_group_1(X3,X4)
| v3_struct_0(X1)
| X2 != X4
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_148) ).
cnf(i_0_147,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_147) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k5_autgroup(esk1_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_3) ).
cnf(i_0_2,negated_conjecture,
esk3_0 = esk2_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_2) ).
cnf(i_0_50,plain,
( v3_struct_0(X1)
| m1_group_2(k5_autgroup(X1),k3_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_50) ).
cnf(i_0_5,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
v1_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_9) ).
cnf(i_0_43,plain,
( v3_struct_0(X1)
| l1_group_1(k3_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_43) ).
cnf(i_0_44,plain,
( v3_struct_0(X1)
| v4_group_1(k3_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_44) ).
cnf(i_0_140,plain,
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X2),X3)
| v3_struct_0(X2)
| X1 != X3
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(k3_autgroup(X2)))
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_140) ).
cnf(i_0_45,plain,
( v3_struct_0(X1)
| v3_group_1(k3_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_45) ).
cnf(i_0_141,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_141) ).
cnf(i_0_4,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_4) ).
cnf(i_0_1,negated_conjecture,
k3_group_1(k5_autgroup(esk1_0),esk3_0) != k2_funct_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_1) ).
cnf(i_0_47,plain,
( v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_struct_0(k3_autgroup(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iqno_s4a/lgb.p',i_0_47) ).
cnf(c_0_167,plain,
( k3_group_1(X1,X2) = k3_group_1(X3,X4)
| v3_struct_0(X1)
| X2 != X4
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_148 ).
cnf(c_0_168,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
i_0_147 ).
cnf(c_0_169,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k5_autgroup(esk1_0))),
i_0_3 ).
cnf(c_0_170,negated_conjecture,
esk3_0 = esk2_0,
i_0_2 ).
cnf(c_0_171,plain,
( k3_group_1(X1,X2) = k3_group_1(X3,X2)
| v3_struct_0(X1)
| ~ m1_group_2(X3,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_167]),c_0_168]) ).
cnf(c_0_172,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k5_autgroup(esk1_0))),
inference(rw,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_173,negated_conjecture,
( k3_group_1(X1,esk2_0) = k3_group_1(k5_autgroup(esk1_0),esk2_0)
| v3_struct_0(X1)
| ~ m1_group_2(k5_autgroup(esk1_0),X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_174,plain,
( v3_struct_0(X1)
| m1_group_2(k5_autgroup(X1),k3_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_50 ).
cnf(c_0_175,negated_conjecture,
l1_group_1(esk1_0),
i_0_5 ).
cnf(c_0_176,negated_conjecture,
v4_group_1(esk1_0),
i_0_6 ).
cnf(c_0_177,negated_conjecture,
v3_group_1(esk1_0),
i_0_7 ).
cnf(c_0_178,negated_conjecture,
v1_group_1(esk1_0),
i_0_8 ).
cnf(c_0_179,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_9 ).
cnf(c_0_180,negated_conjecture,
( v3_struct_0(X1)
| m1_subset_1(esk2_0,u1_struct_0(X1))
| ~ m1_group_2(k5_autgroup(esk1_0),X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_172]) ).
cnf(c_0_181,plain,
( k3_group_1(k5_autgroup(esk1_0),esk2_0) = k3_group_1(k3_autgroup(esk1_0),esk2_0)
| v3_struct_0(k3_autgroup(esk1_0))
| ~ l1_group_1(k3_autgroup(esk1_0))
| ~ v4_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(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_173,c_0_174]),c_0_175]),c_0_176]),c_0_177]),c_0_178])]),c_0_179]) ).
cnf(c_0_182,plain,
( v3_struct_0(X1)
| l1_group_1(k3_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_43 ).
cnf(c_0_183,plain,
( v3_struct_0(k3_autgroup(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k3_autgroup(esk1_0)))
| ~ l1_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(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_180,c_0_174]),c_0_175]),c_0_176]),c_0_177]),c_0_178])]),c_0_179]) ).
cnf(c_0_184,plain,
( k3_group_1(k5_autgroup(esk1_0),esk2_0) = k3_group_1(k3_autgroup(esk1_0),esk2_0)
| v3_struct_0(k3_autgroup(esk1_0))
| ~ v4_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(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_181,c_0_182]),c_0_175]),c_0_176]),c_0_177]),c_0_178])]),c_0_179]) ).
cnf(c_0_185,plain,
( v3_struct_0(X1)
| v4_group_1(k3_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_44 ).
cnf(c_0_186,plain,
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X2),X3)
| v3_struct_0(X2)
| X1 != X3
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(k3_autgroup(X2)))
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
i_0_140 ).
cnf(c_0_187,plain,
( v3_struct_0(k3_autgroup(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k3_autgroup(esk1_0)))
| ~ v3_group_1(k3_autgroup(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_183,c_0_182]),c_0_175]),c_0_176]),c_0_177]),c_0_178])]),c_0_179]) ).
cnf(c_0_188,plain,
( v3_struct_0(X1)
| v3_group_1(k3_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_45 ).
cnf(c_0_189,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
i_0_141 ).
cnf(c_0_190,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
i_0_4 ).
cnf(c_0_191,negated_conjecture,
k3_group_1(k5_autgroup(esk1_0),esk3_0) != k2_funct_1(esk2_0),
i_0_1 ).
cnf(c_0_192,plain,
( k3_group_1(k5_autgroup(esk1_0),esk2_0) = k3_group_1(k3_autgroup(esk1_0),esk2_0)
| v3_struct_0(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(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_184,c_0_185]),c_0_175]),c_0_176]),c_0_177]),c_0_178])]),c_0_179]) ).
cnf(c_0_193,plain,
( k3_group_1(k3_autgroup(X1),X2) = k2_funct_1(X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X1)))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
inference(er,[status(thm)],[c_0_186]) ).
cnf(c_0_194,plain,
( v3_struct_0(k3_autgroup(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k3_autgroup(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_187,c_0_188]),c_0_175]),c_0_176]),c_0_177]),c_0_178])]),c_0_179]) ).
cnf(c_0_195,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(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_189,c_0_190]),c_0_175]),c_0_176]),c_0_177]),c_0_178])]),c_0_179]) ).
cnf(c_0_196,negated_conjecture,
k3_group_1(k5_autgroup(esk1_0),esk2_0) != k2_funct_1(esk2_0),
inference(rw,[status(thm)],[c_0_191,c_0_170]) ).
cnf(c_0_197,plain,
( k3_group_1(k5_autgroup(esk1_0),esk2_0) = k3_group_1(k3_autgroup(esk1_0),esk2_0)
| v3_struct_0(k3_autgroup(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_192,c_0_188]),c_0_175]),c_0_176]),c_0_177]),c_0_178])]),c_0_179]) ).
cnf(c_0_198,plain,
( k3_group_1(k3_autgroup(esk1_0),esk2_0) = k2_funct_1(esk2_0)
| v3_struct_0(k3_autgroup(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_193,c_0_194]),c_0_175]),c_0_176]),c_0_177]),c_0_178]),c_0_195])]),c_0_179]) ).
cnf(c_0_199,plain,
( v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_struct_0(k3_autgroup(X1)) ),
i_0_47 ).
cnf(c_0_200,negated_conjecture,
v3_struct_0(k3_autgroup(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]) ).
cnf(c_0_201,plain,
$false,
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_199,c_0_200]),c_0_175]),c_0_176]),c_0_177]),c_0_178])]),c_0_179]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP628+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 14:13:44 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.47 # ENIGMATIC: Selected complete mode:
% 8.29/2.54 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.29/2.54 # No SInE strategy applied
% 8.29/2.54 # Trying AutoSched0 for 150 seconds
% 8.29/2.54 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.29/2.54 # and selection function SelectNewComplexAHP.
% 8.29/2.54 #
% 8.29/2.54 # Preprocessing time : 0.028 s
% 8.29/2.54 # Presaturation interreduction done
% 8.29/2.54
% 8.29/2.54 # Proof found!
% 8.29/2.54 # SZS status Theorem
% 8.29/2.54 # SZS output start CNFRefutation
% See solution above
% 8.29/2.54 # Training examples: 0 positive, 0 negative
% 8.29/2.54
% 8.29/2.54 # -------------------------------------------------
% 8.29/2.54 # User time : 0.039 s
% 8.29/2.54 # System time : 0.013 s
% 8.29/2.54 # Total time : 0.052 s
% 8.29/2.54 # Maximum resident set size: 7124 pages
% 8.29/2.54
%------------------------------------------------------------------------------