%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL082-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 12:57:49 PM UTC 2026
% Result : Unsatisfiable 0.39s 0.63s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 3 RR)
% Number of literals : 23 ( 0 equ; 8 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ic_2,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_2) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(ic_JLukasiewicz,axiom,
is_a_theorem(implies(implies(implies(X4,X7),X6),implies(implies(X6,X4),implies(X5,X4)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X9,X10),X11))
| is_a_theorem(implies(implies(X11,X9),implies(X8,X9))) ),
inference(resolution,[status(thm)],[ic_JLukasiewicz,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(implies(X16,X15),implies(X13,X15)),implies(X15,X14)),implies(X12,implies(X15,X14)))),
inference(resolution,[status(thm)],[c0,ic_JLukasiewicz]) ).
cnf(c2,plain,
is_a_theorem(implies(implies(implies(X18,implies(X19,X22)),implies(implies(X21,X19),implies(X20,X19))),implies(X17,implies(implies(X21,X19),implies(X20,X19))))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c3,plain,
( ~ is_a_theorem(implies(implies(implies(X26,X24),implies(X25,X24)),implies(X24,X27)))
| is_a_theorem(implies(X23,implies(X24,X27))) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(implies(X60,implies(X57,X58)),implies(implies(X62,X57),implies(X61,X57))))
| is_a_theorem(implies(X59,implies(implies(X62,X57),implies(X61,X57)))) ),
inference(resolution,[status(thm)],[c2,condensed_detachment]) ).
cnf(c29,plain,
is_a_theorem(implies(X63,implies(implies(X65,X64),implies(X64,X64)))),
inference(resolution,[status(thm)],[c5,c1]) ).
cnf(c37,plain,
( ~ is_a_theorem(X77)
| is_a_theorem(implies(implies(X76,X75),implies(X75,X75))) ),
inference(resolution,[status(thm)],[c29,condensed_detachment]) ).
cnf(c38,plain,
is_a_theorem(implies(implies(X82,X81),implies(X81,X81))),
inference(resolution,[status(thm)],[c37,c2]) ).
cnf(c51,plain,
is_a_theorem(implies(implies(implies(X129,X129),X131),implies(X130,X131))),
inference(resolution,[status(thm)],[c38,c0]) ).
cnf(c89,plain,
is_a_theorem(implies(X134,implies(X136,implies(X135,X136)))),
inference(resolution,[status(thm)],[c51,c3]) ).
cnf(c97,plain,
( ~ is_a_theorem(X141)
| is_a_theorem(implies(X140,implies(X142,X140))) ),
inference(resolution,[status(thm)],[c89,condensed_detachment]) ).
cnf(c99,plain,
is_a_theorem(implies(X150,implies(X149,X150))),
inference(resolution,[status(thm)],[c97,c2]) ).
cnf(c120,plain,
$false,
inference(resolution,[status(thm)],[c99,prove_ic_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL082-1 : 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 : n008.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
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 16:32:38 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),
% 0.24/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.49 """
% 0.24/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.49 """
% 0.33/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.58 """
% 0.39/0.63 % Version: 1.5
% 0.39/0.63 % SZS status Unsatisfiable
% 0.39/0.63 % SZS output start CNFRefutation
% See solution above
% 0.39/0.63
% 0.39/0.63 % Initial clauses : 3
% 0.39/0.63 % Processed clauses : 28
% 0.39/0.63 % Factors computed : 0
% 0.39/0.63 % Resolvents computed: 122
% 0.39/0.63 % Tautologies deleted: 1
% 0.39/0.63 % Forward subsumed : 20
% 0.39/0.63 % Backward subsumed : 8
% 0.39/0.63 % -------- CPU Time ---------
% 0.39/0.63 % User time : 0.246 s
% 0.39/0.63 % System time : 0.030 s
% 0.39/0.63 % Total time : 0.276 s
%------------------------------------------------------------------------------