%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU220+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 08:39:42 EDT 2022
% Result : Theorem 8.52s 2.47s
% Output : CNFRefutation 8.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 11 unt; 0 nHn; 26 RR)
% Number of literals : 75 ( 16 equ; 54 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23ackrwl/input.p',i_0_10) ).
cnf(i_0_73,negated_conjecture,
relation(esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23ackrwl/input.p',i_0_73) ).
cnf(i_0_72,negated_conjecture,
function(esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23ackrwl/input.p',i_0_72) ).
cnf(i_0_69,negated_conjecture,
( apply(esk15_0,apply(function_inverse(esk15_0),esk14_0)) != esk14_0
| apply(relation_composition(function_inverse(esk15_0),esk15_0),esk14_0) != esk14_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23ackrwl/input.p',i_0_69) ).
cnf(i_0_51,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(X3,relation_dom(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23ackrwl/input.p',i_0_51) ).
cnf(i_0_64,plain,
( X1 = apply(X2,X3)
| X4 != function_inverse(X2)
| X3 != apply(X4,X1)
| ~ function(X4)
| ~ function(X2)
| ~ relation(X4)
| ~ relation(X2)
| ~ one_to_one(X2)
| ~ in(X1,relation_rng(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23ackrwl/input.p',i_0_64) ).
cnf(i_0_11,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23ackrwl/input.p',i_0_11) ).
cnf(i_0_70,negated_conjecture,
in(esk14_0,relation_rng(esk15_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23ackrwl/input.p',i_0_70) ).
cnf(i_0_71,negated_conjecture,
one_to_one(esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23ackrwl/input.p',i_0_71) ).
cnf(i_0_68,plain,
( relation_dom(function_inverse(X1)) = relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23ackrwl/input.p',i_0_68) ).
cnf(c_0_84,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_10 ).
cnf(c_0_85,negated_conjecture,
relation(esk15_0),
i_0_73 ).
cnf(c_0_86,negated_conjecture,
function(esk15_0),
i_0_72 ).
cnf(c_0_87,negated_conjecture,
( apply(esk15_0,apply(function_inverse(esk15_0),esk14_0)) != esk14_0
| apply(relation_composition(function_inverse(esk15_0),esk15_0),esk14_0) != esk14_0 ),
i_0_69 ).
cnf(c_0_88,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(X3,relation_dom(X1)) ),
i_0_51 ).
cnf(c_0_89,negated_conjecture,
function(function_inverse(esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
cnf(c_0_90,plain,
( X1 = apply(X2,X3)
| X4 != function_inverse(X2)
| X3 != apply(X4,X1)
| ~ function(X4)
| ~ function(X2)
| ~ relation(X4)
| ~ relation(X2)
| ~ one_to_one(X2)
| ~ in(X1,relation_rng(X2)) ),
i_0_64 ).
cnf(c_0_91,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_11 ).
cnf(c_0_92,negated_conjecture,
( apply(esk15_0,apply(function_inverse(esk15_0),esk14_0)) != esk14_0
| ~ in(esk14_0,relation_dom(function_inverse(esk15_0)))
| ~ relation(function_inverse(esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_85]),c_0_86])]),c_0_89])]) ).
cnf(c_0_93,plain,
( apply(X1,apply(function_inverse(X1),X2)) = X2
| ~ in(X2,relation_rng(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_90])]),c_0_84]),c_0_91]) ).
cnf(c_0_94,negated_conjecture,
in(esk14_0,relation_rng(esk15_0)),
i_0_70 ).
cnf(c_0_95,negated_conjecture,
one_to_one(esk15_0),
i_0_71 ).
cnf(c_0_96,plain,
( ~ in(esk14_0,relation_dom(function_inverse(esk15_0)))
| ~ relation(function_inverse(esk15_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_92,c_0_93]),c_0_94]),c_0_95]),c_0_85]),c_0_86])]) ).
cnf(c_0_97,plain,
( relation_dom(function_inverse(X1)) = relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
i_0_68 ).
cnf(c_0_98,plain,
~ relation(function_inverse(esk15_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_96,c_0_97]),c_0_94]),c_0_95]),c_0_85]),c_0_86])]) ).
cnf(c_0_99,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_91]),c_0_85]),c_0_86])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU220+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 01:45:02 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 8.52/2.47 # ENIGMATIC: Solved by autoschedule:
% 8.52/2.47 # No SInE strategy applied
% 8.52/2.47 # Trying AutoSched0 for 150 seconds
% 8.52/2.47 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.52/2.47 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.52/2.47 #
% 8.52/2.47 # Preprocessing time : 0.014 s
% 8.52/2.47
% 8.52/2.47 # Proof found!
% 8.52/2.47 # SZS status Theorem
% 8.52/2.47 # SZS output start CNFRefutation
% See solution above
% 8.52/2.47 # Training examples: 0 positive, 0 negative
% 8.52/2.47
% 8.52/2.47 # -------------------------------------------------
% 8.52/2.47 # User time : 0.016 s
% 8.52/2.47 # System time : 0.008 s
% 8.52/2.47 # Total time : 0.024 s
% 8.52/2.47 # Maximum resident set size: 7116 pages
% 8.52/2.47
%------------------------------------------------------------------------------