%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT102+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 06:18:52 AM UTC 2026
% Result : Unsatisfiable 0.40s 0.65s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 10 |; 2 &)
% ( 0 <=>; 2 =>; 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(irreflexive,axiom,
! [X] : ~ less(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',irreflexive) ).
fof(c134,plain,
! [X] : ~ less(X,X),
inference(fof_simplification,[status(thm)],[irreflexive]) ).
fof(c135,plain,
! [X87] : ~ less(X87,X87),
inference(variable_rename,[status(thm)],[c134]) ).
cnf(c136,plain,
~ less(X91,X91),
inference(split_conjunct,[status(thm)],[c135]) ).
fof(contradiction,axiom,
( less(v700,v600)
& less(v600,v700) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction) ).
cnf(c12,plain,
less(v700,v600),
inference(split_conjunct,[status(thm)],[contradiction]) ).
cnf(c13,plain,
less(v600,v700),
inference(split_conjunct,[status(thm)],[contradiction]) ).
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(c115,plain,
! [X,Y] :
( ~ less(X,Y)
| leq(X,Y) ),
inference(fof_nnf,[status(thm)],[less_implies_leq]) ).
fof(c116,plain,
! [X74,X75] :
( ~ less(X74,X75)
| leq(X74,X75) ),
inference(variable_rename,[status(thm)],[c115]) ).
cnf(c117,plain,
( ~ less(X100,X101)
| leq(X100,X101) ),
inference(split_conjunct,[status(thm)],[c116]) ).
cnf(c143,plain,
leq(v600,v700),
inference(resolution,[status(thm)],[c117,c13]) ).
fof(less_leq_trans,axiom,
! [X,Y,Z] :
( ( less(X,Y)
& leq(Y,Z) )
=> less(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',less_leq_trans) ).
fof(c109,plain,
! [X,Y,Z] :
( ~ less(X,Y)
| ~ leq(Y,Z)
| less(X,Z) ),
inference(fof_nnf,[status(thm)],[less_leq_trans]) ).
fof(c110,plain,
! [X68,X69,X70] :
( ~ less(X68,X69)
| ~ leq(X69,X70)
| less(X68,X70) ),
inference(variable_rename,[status(thm)],[c109]) ).
cnf(c111,plain,
( ~ less(X198,X199)
| ~ leq(X199,X200)
| less(X198,X200) ),
inference(split_conjunct,[status(thm)],[c110]) ).
cnf(c170,plain,
( ~ less(X203,v600)
| less(X203,v700) ),
inference(resolution,[status(thm)],[c111,c143]) ).
cnf(c176,plain,
less(v700,v700),
inference(resolution,[status(thm)],[c170,c12]) ).
cnf(c179,plain,
$false,
inference(resolution,[status(thm)],[c176,c136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT102+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n029.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 14:40:11 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.41 (re.compile("\."), Token.FullStop),
% 0.14/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.41 (re.compile("\("), Token.OpenPar),
% 0.14/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.41 (re.compile("\)"), Token.ClosePar),
% 0.14/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.41 (re.compile("\["), Token.OpenSquare),
% 0.14/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.41 (re.compile("~\|"), Token.Nor),
% 0.14/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.41 (re.compile("\|"), Token.Or),
% 0.14/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.41 (re.compile("\?"), Token.Existential),
% 0.14/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.41 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.48 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.48 """
% 0.23/0.48 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.48 """
% 0.34/0.57 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.34/0.57 """
% 0.40/0.65 % Version: 1.5
% 0.40/0.65 % SZS status Unsatisfiable
% 0.40/0.65 % SZS output start CNFRefutation
% See solution above
% 0.40/0.65
% 0.40/0.65 % Initial clauses : 70
% 0.40/0.65 % Processed clauses : 55
% 0.40/0.65 % Factors computed : 3
% 0.40/0.65 % Resolvents computed: 42
% 0.40/0.65 % Tautologies deleted: 7
% 0.40/0.65 % Forward subsumed : 10
% 0.40/0.65 % Backward subsumed : 0
% 0.40/0.65 % -------- CPU Time ---------
% 0.40/0.65 % User time : 0.271 s
% 0.40/0.65 % System time : 0.027 s
% 0.40/0.65 % Total time : 0.298 s
%------------------------------------------------------------------------------