%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL081-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 0.65s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of clauses : 24 ( 15 unt; 0 nHn; 4 RR)
% Number of literals : 34 ( 0 equ; 11 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 : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 70 ( 30 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ic_1,negated_conjecture,
~ is_a_theorem(implies(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_1) ).
cnf(ic_JLukasiewicz,axiom,
is_a_theorem(implies(implies(implies(X7,X6),X5),implies(implies(X5,X7),implies(X4,X7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X8,X9),X10))
| is_a_theorem(implies(implies(X10,X8),implies(X11,X8))) ),
inference(resolution,[status(thm)],[ic_JLukasiewicz,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(implies(X16,X13),implies(X14,X13)),implies(X13,X12)),implies(X15,implies(X13,X12)))),
inference(resolution,[status(thm)],[c0,ic_JLukasiewicz]) ).
cnf(c3,plain,
( ~ is_a_theorem(implies(implies(implies(X25,X24),implies(X26,X24)),implies(X24,X23)))
| is_a_theorem(implies(X27,implies(X24,X23))) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(implies(X28,implies(implies(X29,X30),implies(X30,implies(X29,X30))))),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(c8,plain,
is_a_theorem(implies(implies(implies(implies(X89,X91),implies(X91,implies(X89,X91))),X90),implies(X92,X90))),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(c10,plain,
( ~ is_a_theorem(X36)
| is_a_theorem(implies(implies(X34,X35),implies(X35,implies(X34,X35)))) ),
inference(resolution,[status(thm)],[c6,condensed_detachment]) ).
cnf(c11,plain,
is_a_theorem(implies(implies(X38,X37),implies(X37,implies(X38,X37)))),
inference(resolution,[status(thm)],[c10,c1]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(X54,implies(X55,X54)),X55),implies(X56,X55))),
inference(resolution,[status(thm)],[c11,c0]) ).
cnf(c2,plain,
is_a_theorem(implies(implies(implies(X22,implies(X18,X17)),implies(implies(X20,X18),implies(X21,X18))),implies(X19,implies(implies(X20,X18),implies(X21,X18))))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(implies(X59,implies(X62,X58)),implies(implies(X61,X62),implies(X60,X62))))
| is_a_theorem(implies(X57,implies(implies(X61,X62),implies(X60,X62)))) ),
inference(resolution,[status(thm)],[c2,condensed_detachment]) ).
cnf(c29,plain,
is_a_theorem(implies(X65,implies(implies(X63,X64),implies(X64,X64)))),
inference(resolution,[status(thm)],[c5,c16]) ).
cnf(c34,plain,
( ~ is_a_theorem(X70)
| is_a_theorem(implies(implies(X69,X71),implies(X71,X71))) ),
inference(resolution,[status(thm)],[c29,condensed_detachment]) ).
cnf(c38,plain,
is_a_theorem(implies(implies(X73,X72),implies(X72,X72))),
inference(resolution,[status(thm)],[c34,ic_JLukasiewicz]) ).
cnf(c47,plain,
( ~ is_a_theorem(implies(X96,X95))
| is_a_theorem(implies(X95,X95)) ),
inference(resolution,[status(thm)],[c38,condensed_detachment]) ).
cnf(c60,plain,
is_a_theorem(implies(implies(X98,X97),implies(X98,X97))),
inference(resolution,[status(thm)],[c47,c8]) ).
cnf(c48,plain,
is_a_theorem(implies(implies(implies(X119,X119),X120),implies(X121,X120))),
inference(resolution,[status(thm)],[c38,c0]) ).
cnf(c81,plain,
( ~ is_a_theorem(implies(implies(X216,X216),X215))
| is_a_theorem(implies(X217,X215)) ),
inference(resolution,[status(thm)],[c48,condensed_detachment]) ).
cnf(c137,plain,
is_a_theorem(implies(X218,implies(X219,X219))),
inference(resolution,[status(thm)],[c81,c60]) ).
cnf(c144,plain,
( ~ is_a_theorem(X228)
| is_a_theorem(implies(X229,X229)) ),
inference(resolution,[status(thm)],[c137,condensed_detachment]) ).
cnf(c152,plain,
is_a_theorem(implies(X230,X230)),
inference(resolution,[status(thm)],[c144,ic_JLukasiewicz]) ).
cnf(c166,plain,
$false,
inference(resolution,[status(thm)],[c152,prove_ic_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL081-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 12:57:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.10/0.43 (re.compile("\."), Token.FullStop),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.10/0.43 (re.compile("\("), Token.OpenPar),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.10/0.43 (re.compile("\)"), Token.ClosePar),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.10/0.43 (re.compile("\["), Token.OpenSquare),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.10/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.43 (re.compile("~\|"), Token.Nor),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.43 (re.compile("\|"), Token.Or),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.10/0.43 (re.compile("\?"), Token.Existential),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.10/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.10/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.50 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.22/0.50 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.32/0.59 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.59 """
% 0.39/0.65 % Version: 1.5
% 0.39/0.65 % SZS status Unsatisfiable
% 0.39/0.65 % SZS output start CNFRefutation
% See solution above
% 0.39/0.65
% 0.39/0.65 % Initial clauses : 3
% 0.39/0.65 % Processed clauses : 33
% 0.39/0.65 % Factors computed : 0
% 0.39/0.65 % Resolvents computed: 172
% 0.39/0.65 % Tautologies deleted: 1
% 0.39/0.65 % Forward subsumed : 46
% 0.39/0.65 % Backward subsumed : 11
% 0.39/0.65 % -------- CPU Time ---------
% 0.39/0.65 % User time : 0.264 s
% 0.39/0.65 % System time : 0.021 s
% 0.39/0.65 % Total time : 0.285 s
%------------------------------------------------------------------------------