TSTP Solution File: SEU009+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU009+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 08:37:59 EDT 2022
% Result : Theorem 4.55s 2.27s
% Output : CNFRefutation 4.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 30 ( 13 unt; 4 nHn; 25 RR)
% Number of literals : 84 ( 5 equ; 54 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_48,plain,
( relation_dom(X1) = X2
| X1 != identity_relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wkpv49rq/lgb.p',i_0_48) ).
cnf(i_0_5,plain,
relation(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wkpv49rq/lgb.p',i_0_5) ).
cnf(i_0_16,plain,
function(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wkpv49rq/lgb.p',i_0_16) ).
cnf(i_0_43,plain,
( in(X1,relation_dom(X2))
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_composition(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wkpv49rq/lgb.p',i_0_43) ).
cnf(i_0_52,negated_conjecture,
( in(esk12_0,relation_dom(esk13_0))
| in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wkpv49rq/lgb.p',i_0_52) ).
cnf(i_0_55,negated_conjecture,
relation(esk13_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wkpv49rq/lgb.p',i_0_55) ).
cnf(i_0_54,negated_conjecture,
function(esk13_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wkpv49rq/lgb.p',i_0_54) ).
cnf(i_0_42,plain,
( in(apply(X1,X2),relation_dom(X3))
| ~ function(X3)
| ~ function(X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ in(X2,relation_dom(relation_composition(X1,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wkpv49rq/lgb.p',i_0_42) ).
cnf(i_0_53,negated_conjecture,
( ~ in(esk12_0,relation_dom(esk13_0))
| ~ in(apply(esk13_0,esk12_0),esk11_0)
| ~ in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wkpv49rq/lgb.p',i_0_53) ).
cnf(i_0_51,negated_conjecture,
( in(apply(esk13_0,esk12_0),esk11_0)
| in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wkpv49rq/lgb.p',i_0_51) ).
cnf(i_0_41,plain,
( in(X1,relation_dom(relation_composition(X2,X3)))
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wkpv49rq/lgb.p',i_0_41) ).
cnf(c_0_67,plain,
( relation_dom(X1) = X2
| X1 != identity_relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
i_0_48 ).
cnf(c_0_68,plain,
relation(identity_relation(X1)),
i_0_5 ).
cnf(c_0_69,plain,
function(identity_relation(X1)),
i_0_16 ).
cnf(c_0_70,plain,
( in(X1,relation_dom(X2))
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_composition(X2,X3))) ),
i_0_43 ).
cnf(c_0_71,negated_conjecture,
( in(esk12_0,relation_dom(esk13_0))
| in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0)))) ),
i_0_52 ).
cnf(c_0_72,negated_conjecture,
relation(esk13_0),
i_0_55 ).
cnf(c_0_73,negated_conjecture,
function(esk13_0),
i_0_54 ).
cnf(c_0_74,plain,
( in(apply(X1,X2),relation_dom(X3))
| ~ function(X3)
| ~ function(X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ in(X2,relation_dom(relation_composition(X1,X3))) ),
i_0_42 ).
cnf(c_0_75,plain,
relation_dom(identity_relation(X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_67]),c_0_68]),c_0_69])]) ).
cnf(c_0_76,negated_conjecture,
( ~ in(esk12_0,relation_dom(esk13_0))
| ~ in(apply(esk13_0,esk12_0),esk11_0)
| ~ in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0)))) ),
i_0_53 ).
cnf(c_0_77,negated_conjecture,
in(esk12_0,relation_dom(esk13_0)),
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_70,c_0_71]),c_0_68]),c_0_72]),c_0_69]),c_0_73])]) ).
cnf(c_0_78,plain,
( in(apply(X1,X2),X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(relation_composition(X1,identity_relation(X3)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_68]),c_0_69])]) ).
cnf(c_0_79,negated_conjecture,
( in(apply(esk13_0,esk12_0),esk11_0)
| in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0)))) ),
i_0_51 ).
cnf(c_0_80,negated_conjecture,
( ~ in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0))))
| ~ in(apply(esk13_0,esk12_0),esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77])]) ).
cnf(c_0_81,negated_conjecture,
in(apply(esk13_0,esk12_0),esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_72]),c_0_73])]) ).
cnf(c_0_82,plain,
( in(X1,relation_dom(relation_composition(X2,X3)))
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),relation_dom(X3)) ),
i_0_41 ).
cnf(c_0_83,negated_conjecture,
~ in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81])]) ).
cnf(c_0_84,plain,
( in(X1,relation_dom(relation_composition(X2,identity_relation(X3))))
| ~ relation(X2)
| ~ function(X2)
| ~ in(apply(X2,X1),X3)
| ~ in(X1,relation_dom(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_75]),c_0_68]),c_0_69])]) ).
cnf(c_0_85,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_83,c_0_84]),c_0_72]),c_0_73]),c_0_81]),c_0_77])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU009+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jun 19 05:49:50 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 4.55/2.27 # ENIGMATIC: Solved by autoschedule-lgb:
% 4.55/2.27 # No SInE strategy applied
% 4.55/2.27 # Trying AutoSched0 for 150 seconds
% 4.55/2.27 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 4.55/2.27 # and selection function SelectMaxLComplexAvoidPosPred.
% 4.55/2.27 #
% 4.55/2.27 # Preprocessing time : 0.025 s
% 4.55/2.27
% 4.55/2.27 # Proof found!
% 4.55/2.27 # SZS status Theorem
% 4.55/2.27 # SZS output start CNFRefutation
% See solution above
% 4.55/2.27 # Training examples: 0 positive, 0 negative
% 4.55/2.27
% 4.55/2.27 # -------------------------------------------------
% 4.55/2.27 # User time : 0.032 s
% 4.55/2.27 # System time : 0.002 s
% 4.55/2.27 # Total time : 0.034 s
% 4.55/2.27 # Maximum resident set size: 7128 pages
% 4.55/2.27
%------------------------------------------------------------------------------