%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 0.31s 0.61s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ec_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_2) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(ec_4,axiom,
is_a_theorem(equivalent(equivalent(X5,X4),equivalent(X4,X5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4) ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(X7,X6))
| is_a_theorem(equivalent(X6,X7)) ),
inference(resolution,[status(thm)],[ec_4,condensed_detachment]) ).
cnf(ec_5,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X12,X10),X11),equivalent(X12,equivalent(X10,X11)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5) ).
cnf(c3,plain,
is_a_theorem(equivalent(equivalent(X25,equivalent(X24,X26)),equivalent(equivalent(X25,X24),X26))),
inference(resolution,[status(thm)],[ec_5,c0]) ).
cnf(c19,plain,
$false,
inference(resolution,[status(thm)],[c3,prove_ec_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 4 17:53:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.43 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.11/0.43 (re.compile("\."), Token.FullStop),
% 0.11/0.43 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.11/0.43 (re.compile("\("), Token.OpenPar),
% 0.11/0.43 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.11/0.43 (re.compile("\)"), Token.ClosePar),
% 0.11/0.43 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.11/0.43 (re.compile("\["), Token.OpenSquare),
% 0.11/0.43 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.11/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.11/0.43 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.43 (re.compile("~\|"), Token.Nor),
% 0.11/0.43 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.43 (re.compile("\|"), Token.Or),
% 0.11/0.43 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.11/0.43 (re.compile("\?"), Token.Existential),
% 0.11/0.43 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.11/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.11/0.43 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.11/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.20/0.50 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.20/0.50 """
% 0.20/0.50 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.20/0.50 """
% 0.31/0.59 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.31/0.59 """
% 0.31/0.61 % Version: 1.5
% 0.31/0.61 % SZS status Unsatisfiable
% 0.31/0.61 % SZS output start CNFRefutation
% See solution above
% 0.31/0.61
% 0.31/0.61 % Initial clauses : 4
% 0.31/0.61 % Processed clauses : 11
% 0.31/0.61 % Factors computed : 0
% 0.31/0.61 % Resolvents computed: 22
% 0.31/0.61 % Tautologies deleted: 0
% 0.31/0.61 % Forward subsumed : 1
% 0.31/0.61 % Backward subsumed : 0
% 0.31/0.61 % -------- CPU Time ---------
% 0.31/0.61 % User time : 0.212 s
% 0.31/0.61 % System time : 0.028 s
% 0.31/0.61 % Total time : 0.240 s
%------------------------------------------------------------------------------