%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:18:50 AM UTC 2026
% Result : Theorem 0.22s 0.50s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 10 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl311,conjecture,
! [X] :
( leq(v800,X)
=> leq(v400,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl311) ).
fof(c12,negated_conjecture,
~ ! [X] :
( leq(v800,X)
=> leq(v400,X) ),
inference(assume_negation,[status(cth)],[odrl311]) ).
fof(c13,negated_conjecture,
? [X] :
( leq(v800,X)
& ~ leq(v400,X) ),
inference(fof_nnf,[status(thm)],[c12]) ).
fof(c14,negated_conjecture,
? [X2] :
( leq(v800,X2)
& ~ leq(v400,X2) ),
inference(variable_rename,[status(thm)],[c13]) ).
fof(c15,negated_conjecture,
( leq(v800,skolem0001)
& ~ leq(v400,skolem0001) ),
inference(skolemize,[status(esa)],[c14]) ).
cnf(c17,negated_conjecture,
~ leq(v400,skolem0001),
inference(split_conjunct,[status(thm)],[c15]) ).
fof(ord_v400_v800,axiom,
less(v400,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v800) ).
cnf(c21,plain,
less(v400,v800),
inference(split_conjunct,[status(thm)],[ord_v400_v800]) ).
fof(less_implies_leq,axiom,
! [X,Y] :
( less(X,Y)
=> leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',less_implies_leq) ).
fof(c120,plain,
! [X,Y] :
( ~ less(X,Y)
| leq(X,Y) ),
inference(fof_nnf,[status(thm)],[less_implies_leq]) ).
fof(c121,plain,
! [X75,X76] :
( ~ less(X75,X76)
| leq(X75,X76) ),
inference(variable_rename,[status(thm)],[c120]) ).
cnf(c122,plain,
( ~ less(X106,X105)
| leq(X106,X105) ),
inference(split_conjunct,[status(thm)],[c121]) ).
cnf(c152,plain,
leq(v400,v800),
inference(resolution,[status(thm)],[c122,c21]) ).
cnf(c16,negated_conjecture,
leq(v800,skolem0001),
inference(split_conjunct,[status(thm)],[c15]) ).
fof(leq_trans,axiom,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_trans) ).
fof(c111,plain,
! [X,Y,Z] :
( ~ leq(X,Y)
| ~ leq(Y,Z)
| leq(X,Z) ),
inference(fof_nnf,[status(thm)],[leq_trans]) ).
fof(c112,plain,
! [X66,X67,X68] :
( ~ leq(X66,X67)
| ~ leq(X67,X68)
| leq(X66,X68) ),
inference(variable_rename,[status(thm)],[c111]) ).
cnf(c113,plain,
( ~ leq(X169,X167)
| ~ leq(X167,X168)
| leq(X169,X168) ),
inference(split_conjunct,[status(thm)],[c112]) ).
cnf(c163,plain,
( ~ leq(X180,v800)
| leq(X180,skolem0001) ),
inference(resolution,[status(thm)],[c113,c16]) ).
cnf(c170,plain,
leq(v400,skolem0001),
inference(resolution,[status(thm)],[c163,c152]) ).
cnf(c173,plain,
$false,
inference(resolution,[status(thm)],[c170,c17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 14:11:20 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.39 (re.compile("\."), Token.FullStop),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.39 (re.compile("\("), Token.OpenPar),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.39 (re.compile("\)"), Token.ClosePar),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.39 (re.compile("\["), Token.OpenSquare),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.39 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.39 (re.compile("~\|"), Token.Nor),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.39 (re.compile("\|"), Token.Or),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.39 (re.compile("\?"), Token.Existential),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.39 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.39 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.13/0.42 """
% 0.13/0.43 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.13/0.43 """
% 0.22/0.47 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.47 """
% 0.22/0.50 % Version: 1.5
% 0.22/0.50 % SZS status Theorem
% 0.22/0.50 % SZS output start CNFRefutation
% See solution above
% 0.22/0.50
% 0.22/0.50 % Initial clauses : 71
% 0.22/0.50 % Processed clauses : 50
% 0.22/0.50 % Factors computed : 3
% 0.22/0.50 % Resolvents computed: 31
% 0.22/0.50 % Tautologies deleted: 6
% 0.22/0.50 % Forward subsumed : 4
% 0.22/0.50 % Backward subsumed : 0
% 0.22/0.50 % -------- CPU Time ---------
% 0.22/0.50 % User time : 0.127 s
% 0.22/0.50 % System time : 0.011 s
% 0.22/0.50 % Total time : 0.138 s
%------------------------------------------------------------------------------