TSTP Solution File: SEU098+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU098+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 : Tue Jul 19 08:38:27 EDT 2022
% Result : Theorem 8.89s 2.50s
% Output : CNFRefutation 8.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of clauses : 41 ( 15 unt; 2 nHn; 31 RR)
% Number of literals : 95 ( 6 equ; 55 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-4 aty)
% Number of variables : 54 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_160,plain,
( finite(X1)
| ~ finite(X2)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_160) ).
cnf(i_0_164,plain,
( subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_164) ).
cnf(i_0_41,plain,
( finite(cartesian_product2(X1,X2))
| ~ finite(X2)
| ~ finite(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_41) ).
cnf(i_0_165,plain,
( finite(relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ finite(relation_dom(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_165) ).
cnf(i_0_154,plain,
( function_image(X1,X2,X3,X4) = relation_image(X3,X4)
| ~ function(X3)
| ~ quasi_total(X3,X1,X2)
| ~ relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_154) ).
cnf(i_0_159,plain,
( function_image(cartesian_product2(relation_dom(X1),relation_rng(X1)),relation_dom(X1),first_projection(relation_dom(X1),relation_rng(X1)),X1) = relation_dom(X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_159) ).
cnf(i_0_32,plain,
function(first_projection(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_32) ).
cnf(i_0_31,plain,
quasi_total(first_projection(X1,X2),cartesian_product2(X1,X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_31) ).
cnf(i_0_166,negated_conjecture,
( finite(esk30_0)
| finite(relation_dom(esk30_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_166) ).
cnf(i_0_169,negated_conjecture,
relation(esk30_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_169) ).
cnf(i_0_168,negated_conjecture,
function(esk30_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_168) ).
cnf(i_0_157,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_157) ).
cnf(i_0_30,plain,
relation_of2_as_subset(first_projection(X1,X2),cartesian_product2(X1,X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_30) ).
cnf(i_0_167,negated_conjecture,
( ~ finite(esk30_0)
| ~ finite(relation_dom(esk30_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_167) ).
cnf(i_0_40,plain,
( finite(relation_image(X1,X2))
| ~ finite(X2)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_40) ).
cnf(i_0_29,plain,
relation(first_projection(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dp6u9o2n/lgb.p',i_0_29) ).
cnf(c_0_186,plain,
( finite(X1)
| ~ finite(X2)
| ~ subset(X1,X2) ),
i_0_160 ).
cnf(c_0_187,plain,
( subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))
| ~ relation(X1) ),
i_0_164 ).
cnf(c_0_188,plain,
( finite(X1)
| ~ relation(X1)
| ~ finite(cartesian_product2(relation_dom(X1),relation_rng(X1))) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_189,plain,
( finite(cartesian_product2(X1,X2))
| ~ finite(X2)
| ~ finite(X1) ),
i_0_41 ).
cnf(c_0_190,plain,
( finite(X1)
| ~ relation(X1)
| ~ finite(relation_rng(X1))
| ~ finite(relation_dom(X1)) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_191,plain,
( finite(relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ finite(relation_dom(X1)) ),
i_0_165 ).
cnf(c_0_192,plain,
( function_image(X1,X2,X3,X4) = relation_image(X3,X4)
| ~ function(X3)
| ~ quasi_total(X3,X1,X2)
| ~ relation_of2(X3,X1,X2) ),
i_0_154 ).
cnf(c_0_193,plain,
( function_image(cartesian_product2(relation_dom(X1),relation_rng(X1)),relation_dom(X1),first_projection(relation_dom(X1),relation_rng(X1)),X1) = relation_dom(X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_159 ).
cnf(c_0_194,plain,
function(first_projection(X1,X2)),
i_0_32 ).
cnf(c_0_195,plain,
quasi_total(first_projection(X1,X2),cartesian_product2(X1,X2),X1),
i_0_31 ).
cnf(c_0_196,plain,
( finite(X1)
| ~ relation(X1)
| ~ function(X1)
| ~ finite(relation_dom(X1)) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_197,negated_conjecture,
( finite(esk30_0)
| finite(relation_dom(esk30_0)) ),
i_0_166 ).
cnf(c_0_198,negated_conjecture,
relation(esk30_0),
i_0_169 ).
cnf(c_0_199,negated_conjecture,
function(esk30_0),
i_0_168 ).
cnf(c_0_200,plain,
( relation_image(first_projection(relation_dom(X1),relation_rng(X1)),X1) = relation_dom(X1)
| ~ relation_of2(first_projection(relation_dom(X1),relation_rng(X1)),cartesian_product2(relation_dom(X1),relation_rng(X1)),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]),c_0_195])]) ).
cnf(c_0_201,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_157 ).
cnf(c_0_202,plain,
relation_of2_as_subset(first_projection(X1,X2),cartesian_product2(X1,X2),X1),
i_0_30 ).
cnf(c_0_203,negated_conjecture,
( ~ finite(esk30_0)
| ~ finite(relation_dom(esk30_0)) ),
i_0_167 ).
cnf(c_0_204,negated_conjecture,
finite(esk30_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]),c_0_199])]) ).
cnf(c_0_205,plain,
( finite(relation_image(X1,X2))
| ~ finite(X2)
| ~ function(X1)
| ~ relation(X1) ),
i_0_40 ).
cnf(c_0_206,plain,
( relation_image(first_projection(relation_dom(X1),relation_rng(X1)),X1) = relation_dom(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202])]) ).
cnf(c_0_207,plain,
relation(first_projection(X1,X2)),
i_0_29 ).
cnf(c_0_208,negated_conjecture,
~ finite(relation_dom(esk30_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204])]) ).
cnf(c_0_209,plain,
( finite(relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]),c_0_194])]) ).
cnf(c_0_210,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_198]),c_0_199]),c_0_204])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU098+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 23:30:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected complete mode:
% 8.89/2.50 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.89/2.50 # No SInE strategy applied
% 8.89/2.50 # Trying AutoSched0 for 150 seconds
% 8.89/2.50 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.89/2.50 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.89/2.50 #
% 8.89/2.50 # Preprocessing time : 0.014 s
% 8.89/2.50
% 8.89/2.50 # Proof found!
% 8.89/2.50 # SZS status Theorem
% 8.89/2.50 # SZS output start CNFRefutation
% See solution above
% 8.89/2.50 # Training examples: 0 positive, 0 negative
% 8.89/2.50
% 8.89/2.50 # -------------------------------------------------
% 8.89/2.50 # User time : 0.027 s
% 8.89/2.50 # System time : 0.008 s
% 8.89/2.50 # Total time : 0.034 s
% 8.89/2.50 # Maximum resident set size: 7124 pages
% 8.89/2.50
%------------------------------------------------------------------------------