%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL087-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 0.08s 0.42s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of clauses : 18 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 26 ( 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 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(ic_JLukasiewicz_4,axiom,
is_a_theorem(implies(implies(implies(X7,X5),implies(X4,X8)),implies(X6,implies(implies(X8,X7),implies(X4,X7))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
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(X11,X12),implies(X9,X13)))
| is_a_theorem(implies(X10,implies(implies(X13,X11),implies(X9,X11)))) ),
inference(resolution,[status(thm)],[ic_JLukasiewicz_4,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(X14,implies(implies(implies(implies(X19,X17),implies(X18,X17)),implies(X17,X15)),implies(X16,implies(X17,X15))))),
inference(resolution,[status(thm)],[c0,ic_JLukasiewicz_4]) ).
cnf(c3,plain,
( ~ is_a_theorem(X31)
| is_a_theorem(implies(implies(implies(implies(X27,X30),implies(X28,X30)),implies(X30,X32)),implies(X29,implies(X30,X32)))) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(implies(implies(implies(implies(X37,X36),implies(X34,X36)),implies(X36,X33)),implies(X35,implies(X36,X33)))),
inference(resolution,[status(thm)],[c3,ic_JLukasiewicz_4]) ).
cnf(c10,plain,
( ~ is_a_theorem(implies(implies(implies(X50,X48),implies(X51,X48)),implies(X48,X52)))
| is_a_theorem(implies(X49,implies(X48,X52))) ),
inference(resolution,[status(thm)],[c6,condensed_detachment]) ).
cnf(c14,plain,
is_a_theorem(implies(X66,implies(implies(X65,X67),implies(X67,implies(X65,X67))))),
inference(resolution,[status(thm)],[c10,c6]) ).
cnf(c21,plain,
( ~ is_a_theorem(X115)
| is_a_theorem(implies(implies(X113,X114),implies(X114,implies(X113,X114)))) ),
inference(resolution,[status(thm)],[c14,condensed_detachment]) ).
cnf(c54,plain,
is_a_theorem(implies(implies(X116,X117),implies(X117,implies(X116,X117)))),
inference(resolution,[status(thm)],[c21,ic_JLukasiewicz_4]) ).
cnf(c66,plain,
is_a_theorem(implies(X153,implies(implies(implies(X152,X154),X152),implies(X154,X152)))),
inference(resolution,[status(thm)],[c54,c0]) ).
cnf(c77,plain,
( ~ is_a_theorem(X165)
| is_a_theorem(implies(implies(implies(X163,X164),X163),implies(X164,X163))) ),
inference(resolution,[status(thm)],[c66,condensed_detachment]) ).
cnf(c94,plain,
is_a_theorem(implies(implies(implies(X167,X166),X167),implies(X166,X167))),
inference(resolution,[status(thm)],[c77,ic_JLukasiewicz_4]) ).
cnf(c108,plain,
is_a_theorem(implies(X168,implies(X169,implies(X170,X169)))),
inference(resolution,[status(thm)],[c94,c10]) ).
cnf(c112,plain,
( ~ is_a_theorem(X172)
| is_a_theorem(implies(X173,implies(X171,X173))) ),
inference(resolution,[status(thm)],[c108,condensed_detachment]) ).
cnf(c119,plain,
is_a_theorem(implies(X175,implies(X174,X175))),
inference(resolution,[status(thm)],[c112,ic_JLukasiewicz_4]) ).
cnf(c135,plain,
$false,
inference(resolution,[status(thm)],[c119,prove_ic_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL087-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 5 03:31:42 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.32 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.03/0.32 (re.compile("\."), Token.FullStop),
% 0.03/0.32 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.08/0.32 (re.compile("\("), Token.OpenPar),
% 0.08/0.32 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.08/0.32 (re.compile("\)"), Token.ClosePar),
% 0.08/0.32 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.08/0.32 (re.compile("\["), Token.OpenSquare),
% 0.08/0.32 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.08/0.32 (re.compile("\]"), Token.CloseSquare),
% 0.08/0.33 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.08/0.33 (re.compile("~\|"), Token.Nor),
% 0.08/0.33 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.08/0.33 (re.compile("\|"), Token.Or),
% 0.08/0.33 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.08/0.33 (re.compile("\?"), Token.Existential),
% 0.08/0.33 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.08/0.33 (re.compile("\s+"), Token.WhiteSpace),
% 0.08/0.33 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.08/0.33 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.08/0.36 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.08/0.36 """
% 0.08/0.36 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.08/0.36 """
% 0.08/0.40 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.08/0.40 """
% 0.08/0.42 % Version: 1.5
% 0.08/0.42 % SZS status Unsatisfiable
% 0.08/0.42 % SZS output start CNFRefutation
% See solution above
% 0.08/0.42
% 0.08/0.42 % Initial clauses : 3
% 0.08/0.42 % Processed clauses : 27
% 0.08/0.42 % Factors computed : 0
% 0.08/0.42 % Resolvents computed: 137
% 0.08/0.42 % Tautologies deleted: 0
% 0.08/0.42 % Forward subsumed : 21
% 0.08/0.42 % Backward subsumed : 8
% 0.08/0.42 % -------- CPU Time ---------
% 0.08/0.42 % User time : 0.117 s
% 0.08/0.42 % System time : 0.009 s
% 0.08/0.42 % Total time : 0.126 s
%------------------------------------------------------------------------------