%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL126-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : Mon Sep 7 12:57:54 PM UTC 2026
% Result : Unsatisfiable 0.33s 0.61s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 4 RR)
% Number of literals : 20 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 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 : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_q_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,b)),equivalent(a,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_q_2) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(q_4,axiom,
is_a_theorem(equivalent(equivalent(X7,X9),equivalent(equivalent(X7,X8),equivalent(X9,X8)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_4) ).
cnf(c1,plain,
( ~ is_a_theorem(equivalent(X15,X13))
| is_a_theorem(equivalent(equivalent(X15,X14),equivalent(X13,X14))) ),
inference(resolution,[status(thm)],[q_4,condensed_detachment]) ).
cnf(c5,plain,
is_a_theorem(equivalent(equivalent(equivalent(X22,X20),X23),equivalent(equivalent(equivalent(X22,X21),equivalent(X20,X21)),X23))),
inference(resolution,[status(thm)],[c1,q_4]) ).
cnf(c11,plain,
( ~ is_a_theorem(equivalent(equivalent(X29,X30),X31))
| is_a_theorem(equivalent(equivalent(equivalent(X29,X28),equivalent(X30,X28)),X31)) ),
inference(resolution,[status(thm)],[c5,condensed_detachment]) ).
cnf(c19,plain,
is_a_theorem(equivalent(equivalent(equivalent(X34,X35),equivalent(X32,X35)),equivalent(equivalent(X34,X33),equivalent(X32,X33)))),
inference(resolution,[status(thm)],[c11,q_4]) ).
cnf(c22,plain,
( ~ is_a_theorem(equivalent(equivalent(X42,X43),equivalent(X41,X43)))
| is_a_theorem(equivalent(equivalent(X42,X44),equivalent(X41,X44))) ),
inference(resolution,[status(thm)],[c19,condensed_detachment]) ).
cnf(c31,plain,
is_a_theorem(equivalent(equivalent(equivalent(X45,X47),X46),equivalent(equivalent(X45,X47),X46))),
inference(resolution,[status(thm)],[c22,c19]) ).
cnf(c35,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X72,X71),X74),equivalent(X73,X74)),equivalent(equivalent(X72,X71),X73))),
inference(resolution,[status(thm)],[c31,c11]) ).
cnf(c47,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X81,X79),X80),equivalent(X82,X80)))
| is_a_theorem(equivalent(equivalent(X81,X79),X82)) ),
inference(resolution,[status(thm)],[c35,condensed_detachment]) ).
cnf(c51,plain,
is_a_theorem(equivalent(equivalent(X88,X89),equivalent(X88,X89))),
inference(resolution,[status(thm)],[c47,c19]) ).
cnf(c64,plain,
is_a_theorem(equivalent(equivalent(equivalent(X107,X108),equivalent(X109,X108)),equivalent(X107,X109))),
inference(resolution,[status(thm)],[c51,c11]) ).
cnf(c74,plain,
$false,
inference(resolution,[status(thm)],[c64,prove_q_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL126-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.35 % Computer : n029.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 11:01:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.42 (re.compile("\."), Token.FullStop),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.42 (re.compile("\("), Token.OpenPar),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.42 (re.compile("\)"), Token.ClosePar),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.42 (re.compile("\["), Token.OpenSquare),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("~\|"), Token.Nor),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("\|"), Token.Or),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.42 (re.compile("\?"), Token.Existential),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.23/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.33/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.58 """
% 0.33/0.61 % Version: 1.5
% 0.33/0.61 % SZS status Unsatisfiable
% 0.33/0.61 % SZS output start CNFRefutation
% See solution above
% 0.33/0.62
% 0.33/0.62 % Initial clauses : 4
% 0.33/0.62 % Processed clauses : 21
% 0.33/0.62 % Factors computed : 0
% 0.33/0.62 % Resolvents computed: 80
% 0.33/0.62 % Tautologies deleted: 2
% 0.33/0.62 % Forward subsumed : 9
% 0.33/0.62 % Backward subsumed : 2
% 0.33/0.62 % -------- CPU Time ---------
% 0.33/0.62 % User time : 0.241 s
% 0.33/0.62 % System time : 0.017 s
% 0.33/0.62 % Total time : 0.257 s
%------------------------------------------------------------------------------