%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL022-1 : 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 12:57:42 PM UTC 2026
% Result : Unsatisfiable 20.46s 20.74s
% Output : CNFRefutation 20.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of clauses : 22 ( 15 unt; 0 nHn; 6 RR)
% Number of literals : 30 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ec_1,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_1) ).
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(yql,axiom,
is_a_theorem(equivalent(equivalent(X4,X5),equivalent(equivalent(X6,X5),equivalent(X4,X6)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql) ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(X7,X9))
| is_a_theorem(equivalent(equivalent(X8,X9),equivalent(X7,X8))) ),
inference(resolution,[status(thm)],[yql,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(X13,equivalent(equivalent(X11,X10),equivalent(X12,X11))),equivalent(equivalent(X12,X10),X13))),
inference(resolution,[status(thm)],[c0,yql]) ).
cnf(c2,plain,
( ~ is_a_theorem(equivalent(X17,equivalent(equivalent(X15,X16),equivalent(X14,X15))))
| is_a_theorem(equivalent(equivalent(X14,X16),X17)) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c5,plain,
is_a_theorem(equivalent(equivalent(X18,X19),equivalent(X18,X19))),
inference(resolution,[status(thm)],[c2,yql]) ).
cnf(c8,plain,
is_a_theorem(equivalent(equivalent(X27,equivalent(X25,X26)),equivalent(equivalent(X25,X26),X27))),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(c9,plain,
( ~ is_a_theorem(equivalent(X30,equivalent(X28,X29)))
| is_a_theorem(equivalent(equivalent(X28,X29),X30)) ),
inference(resolution,[status(thm)],[c8,condensed_detachment]) ).
cnf(c10,plain,
is_a_theorem(equivalent(equivalent(X38,X40),equivalent(equivalent(X38,X39),equivalent(X39,X40)))),
inference(resolution,[status(thm)],[c8,c2]) ).
cnf(c22,plain,
is_a_theorem(equivalent(equivalent(equivalent(X94,X95),equivalent(X95,X96)),equivalent(X94,X96))),
inference(resolution,[status(thm)],[c10,c9]) ).
cnf(c87,plain,
( ~ is_a_theorem(equivalent(equivalent(X488,X490),equivalent(X490,X489)))
| is_a_theorem(equivalent(X488,X489)) ),
inference(resolution,[status(thm)],[c22,condensed_detachment]) ).
cnf(c3,plain,
is_a_theorem(equivalent(equivalent(X31,equivalent(equivalent(X32,X35),X34)),equivalent(equivalent(X34,equivalent(equivalent(X33,X35),equivalent(X32,X33))),X31))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c16,plain,
( ~ is_a_theorem(equivalent(X90,equivalent(equivalent(X91,X89),X87)))
| is_a_theorem(equivalent(equivalent(X87,equivalent(equivalent(X88,X89),equivalent(X91,X88))),X90)) ),
inference(resolution,[status(thm)],[c3,condensed_detachment]) ).
cnf(c21,plain,
is_a_theorem(equivalent(equivalent(X41,X41),equivalent(X42,X42))),
inference(resolution,[status(thm)],[c10,c2]) ).
cnf(c24,plain,
( ~ is_a_theorem(equivalent(X44,X44))
| is_a_theorem(equivalent(X43,X43)) ),
inference(resolution,[status(thm)],[c21,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(equivalent(X45,X45)),
inference(resolution,[status(thm)],[c24,c8]) ).
cnf(c34,plain,
is_a_theorem(equivalent(equivalent(X64,X63),equivalent(X63,X64))),
inference(resolution,[status(thm)],[c28,c0]) ).
cnf(c46,plain,
is_a_theorem(equivalent(equivalent(X116,equivalent(X114,X115)),equivalent(equivalent(X115,X114),X116))),
inference(resolution,[status(thm)],[c34,c0]) ).
cnf(c114,plain,
is_a_theorem(equivalent(equivalent(X920,equivalent(equivalent(X922,X923),equivalent(X921,X922))),equivalent(X920,equivalent(X923,X921)))),
inference(resolution,[status(thm)],[c46,c16]) ).
cnf(c2016,plain,
is_a_theorem(equivalent(equivalent(equivalent(X6173,X6171),equivalent(X6172,X6173)),equivalent(X6171,X6172))),
inference(resolution,[status(thm)],[c114,c87]) ).
cnf(c26144,plain,
$false,
inference(resolution,[status(thm)],[c2016,prove_ec_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL022-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % 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 : Fri Sep 4 23:32:25 UTC 2026
% 0.09/0.36 % 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),
% 0.22/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.22/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.33/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.58 """
% 20.46/20.74 % Version: 1.5
% 20.46/20.74 % SZS status Unsatisfiable
% 20.46/20.74 % SZS output start CNFRefutation
% See solution above
% 20.46/20.74
% 20.46/20.74 % Initial clauses : 3
% 20.46/20.74 % Processed clauses : 602
% 20.46/20.74 % Factors computed : 0
% 20.46/20.74 % Resolvents computed: 26202
% 20.46/20.74 % Tautologies deleted: 2
% 20.46/20.74 % Forward subsumed : 1850
% 20.46/20.74 % Backward subsumed : 25
% 20.46/20.74 % -------- CPU Time ---------
% 20.46/20.74 % User time : 20.267 s
% 20.46/20.74 % System time : 0.110 s
% 20.46/20.74 % Total time : 20.377 s
%------------------------------------------------------------------------------