%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT070+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 0.46s 0.73s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 20 ~; 14 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 28 ( 4 sgn 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(h_sup_ub,plain,
! [X] : leq(X,nsup),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_sup_ub) ).
fof(c18,plain,
! [X3] : leq(X3,nsup),
inference(variable_rename,[status(thm)],[h_sup_ub]) ).
cnf(c19,plain,
leq(X125,nsup),
inference(split_conjunct,[status(thm)],[c18]) ).
fof(unknown_sound_compatible,conjecture,
? [V] :
( leq(ninf,V)
& leq(V,nsup)
& completion_compatible(V,ninf,nsup) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_sound_compatible) ).
fof(c13,negated_conjecture,
~ ? [V] :
( leq(ninf,V)
& leq(V,nsup)
& completion_compatible(V,ninf,nsup) ),
inference(assume_negation,[status(cth)],[unknown_sound_compatible]) ).
fof(c14,negated_conjecture,
! [V] :
( ~ leq(ninf,V)
| ~ leq(V,nsup)
| ~ completion_compatible(V,ninf,nsup) ),
inference(fof_nnf,[status(thm)],[c13]) ).
fof(c15,negated_conjecture,
! [X2] :
( ~ leq(ninf,X2)
| ~ leq(X2,nsup)
| ~ completion_compatible(X2,ninf,nsup) ),
inference(variable_rename,[status(thm)],[c14]) ).
cnf(c16,negated_conjecture,
( ~ leq(ninf,X270)
| ~ leq(X270,nsup)
| ~ completion_compatible(X270,ninf,nsup) ),
inference(split_conjunct,[status(thm)],[c15]) ).
fof(h_inf_lb,plain,
! [X] : leq(ninf,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_inf_lb) ).
fof(c20,plain,
! [X4] : leq(ninf,X4),
inference(variable_rename,[status(thm)],[h_inf_lb]) ).
cnf(c21,plain,
leq(ninf,X126),
inference(split_conjunct,[status(thm)],[c20]) ).
fof(completion_compat,axiom,
! [V,InfD,SupD] :
( ( leq(InfD,V)
& leq(V,SupD) )
=> completion_compatible(V,InfD,SupD) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+4.ax',completion_compat) ).
fof(c40,plain,
! [V,InfD,SupD] :
( ~ leq(InfD,V)
| ~ leq(V,SupD)
| completion_compatible(V,InfD,SupD) ),
inference(fof_nnf,[status(thm)],[completion_compat]) ).
fof(c41,plain,
! [X28,X29,X30] :
( ~ leq(X29,X28)
| ~ leq(X28,X30)
| completion_compatible(X28,X29,X30) ),
inference(variable_rename,[status(thm)],[c40]) ).
cnf(c42,plain,
( ~ leq(X314,X313)
| ~ leq(X313,X312)
| completion_compatible(X313,X314,X312) ),
inference(split_conjunct,[status(thm)],[c41]) ).
cnf(c349,plain,
( ~ leq(X334,X335)
| completion_compatible(X335,X334,nsup) ),
inference(resolution,[status(thm)],[c42,c19]) ).
cnf(c419,plain,
completion_compatible(X338,ninf,nsup),
inference(resolution,[status(thm)],[c349,c21]) ).
cnf(c425,plain,
( ~ leq(ninf,X358)
| ~ leq(X358,nsup) ),
inference(resolution,[status(thm)],[c419,c16]) ).
cnf(c483,plain,
~ leq(ninf,X359),
inference(resolution,[status(thm)],[c425,c19]) ).
cnf(c487,plain,
$false,
inference(resolution,[status(thm)],[c483,c19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT070+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 13:57:00 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.41 (re.compile("\."), Token.FullStop),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.41 (re.compile("\("), Token.OpenPar),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.41 (re.compile("\)"), Token.ClosePar),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.41 (re.compile("\["), Token.OpenSquare),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("~\|"), Token.Nor),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("\|"), Token.Or),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.42 (re.compile("\?"), Token.Existential),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.22/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.33/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.58 """
% 0.46/0.73 % Version: 1.5
% 0.46/0.73 % SZS status Theorem
% 0.46/0.73 % SZS output start CNFRefutation
% See solution above
% 0.46/0.73
% 0.46/0.73 % Initial clauses : 75
% 0.46/0.73 % Processed clauses : 96
% 0.46/0.73 % Factors computed : 11
% 0.46/0.73 % Resolvents computed: 316
% 0.46/0.73 % Tautologies deleted: 6
% 0.46/0.73 % Forward subsumed : 63
% 0.46/0.73 % Backward subsumed : 5
% 0.46/0.73 % -------- CPU Time ---------
% 0.46/0.73 % User time : 0.350 s
% 0.46/0.73 % System time : 0.025 s
% 0.46/0.73 % Total time : 0.375 s
%------------------------------------------------------------------------------