%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL013-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 : Mon Sep 7 12:57:41 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_um,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_um) ).
cnf(xgf,axiom,
is_a_theorem(equivalent(X5,equivalent(equivalent(X6,equivalent(X5,X4)),equivalent(X4,X6)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xgf) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c0,plain,
( ~ is_a_theorem(X7)
| is_a_theorem(equivalent(equivalent(X8,equivalent(X7,X9)),equivalent(X9,X8))) ),
inference(resolution,[status(thm)],[xgf,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(X13,equivalent(equivalent(X11,equivalent(equivalent(X10,equivalent(X11,X12)),equivalent(X12,X10))),X14)),equivalent(X14,X13))),
inference(resolution,[status(thm)],[c0,xgf]) ).
cnf(c2,plain,
( ~ is_a_theorem(equivalent(X15,equivalent(equivalent(X17,equivalent(equivalent(X19,equivalent(X17,X16)),equivalent(X16,X19))),X18)))
| is_a_theorem(equivalent(X18,X15)) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c4,plain,
is_a_theorem(equivalent(equivalent(equivalent(X20,X21),X22),equivalent(X21,equivalent(X22,X20)))),
inference(resolution,[status(thm)],[c2,xgf]) ).
cnf(c7,plain,
$false,
inference(resolution,[status(thm)],[c4,prove_um]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Fri Sep 4 14:00:12 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.02/0.32 (re.compile("\."), Token.FullStop),
% 0.02/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.02/0.32 (re.compile("\("), Token.OpenPar),
% 0.02/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.02/0.32 (re.compile("\)"), Token.ClosePar),
% 0.02/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.02/0.32 (re.compile("\["), Token.OpenSquare),
% 0.02/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.08/0.32 (re.compile("\]"), Token.CloseSquare),
% 0.08/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.08/0.32 (re.compile("~\|"), Token.Nor),
% 0.08/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.08/0.32 (re.compile("\|"), Token.Or),
% 0.08/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.08/0.32 (re.compile("\?"), Token.Existential),
% 0.08/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.08/0.32 (re.compile("\s+"), Token.WhiteSpace),
% 0.08/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.08/0.32 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.08/0.35 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.08/0.35 """
% 0.08/0.35 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.08/0.35 """
% 0.08/0.39 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.08/0.39 """
% 0.08/0.39 % Version: 1.5
% 0.08/0.39 % SZS status Unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation
% See solution above
% 0.08/0.39
% 0.08/0.39 % Initial clauses : 3
% 0.08/0.39 % Processed clauses : 7
% 0.08/0.39 % Factors computed : 0
% 0.08/0.39 % Resolvents computed: 10
% 0.08/0.39 % Tautologies deleted: 0
% 0.08/0.39 % Forward subsumed : 0
% 0.08/0.39 % Backward subsumed : 0
% 0.08/0.39 % -------- CPU Time ---------
% 0.08/0.39 % User time : 0.091 s
% 0.08/0.39 % System time : 0.011 s
% 0.08/0.39 % Total time : 0.102 s
%------------------------------------------------------------------------------