%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL047-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 12:57:44 PM UTC 2026
% Result : Unsatisfiable 5.56s 5.86s
% Output : CNFRefutation 5.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of clauses : 42 ( 30 unt; 0 nHn; 9 RR)
% Number of literals : 55 ( 0 equ; 14 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; 2 con; 0-2 aty)
% Number of variables : 109 ( 37 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_18,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_18) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X10,X12),implies(implies(X12,X11),implies(X10,X11)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X22,X21))
| is_a_theorem(implies(implies(X21,X23),implies(X22,X23))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(not(X30),X29),X31),implies(X30,X31))),
inference(resolution,[status(thm)],[c4,cn_3]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(not(X7),X7))
| is_a_theorem(X7) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_2]) ).
cnf(c19,plain,
( ~ is_a_theorem(implies(implies(not(X36),X35),X34))
| is_a_theorem(implies(X36,X34)) ),
inference(resolution,[status(thm)],[c15,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X9)
| is_a_theorem(implies(not(X9),X8)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).
cnf(c26,plain,
is_a_theorem(implies(X41,X41)),
inference(resolution,[status(thm)],[c19,cn_2]) ).
cnf(c32,plain,
is_a_theorem(implies(not(implies(X45,X45)),X46)),
inference(resolution,[status(thm)],[c26,c1]) ).
cnf(c37,plain,
is_a_theorem(implies(implies(X115,X116),implies(not(implies(X114,X114)),X116))),
inference(resolution,[status(thm)],[c32,c4]) ).
cnf(c119,plain,
is_a_theorem(implies(X119,implies(not(implies(X117,X117)),X118))),
inference(resolution,[status(thm)],[c37,c19]) ).
cnf(c131,plain,
is_a_theorem(implies(implies(implies(not(implies(X218,X218)),X215),X217),implies(X216,X217))),
inference(resolution,[status(thm)],[c119,c4]) ).
cnf(c256,plain,
( ~ is_a_theorem(implies(implies(not(implies(X220,X220)),X222),X221))
| is_a_theorem(implies(X219,X221)) ),
inference(resolution,[status(thm)],[c131,condensed_detachment]) ).
cnf(c268,plain,
is_a_theorem(implies(X224,implies(X223,X223))),
inference(resolution,[status(thm)],[c256,cn_2]) ).
cnf(c278,plain,
is_a_theorem(implies(implies(implies(X271,X271),X270),implies(X269,X270))),
inference(resolution,[status(thm)],[c268,c4]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(X32,X33),implies(implies(not(X32),X32),X33))),
inference(resolution,[status(thm)],[c4,cn_2]) ).
cnf(c310,plain,
( ~ is_a_theorem(implies(implies(X273,X273),X274))
| is_a_theorem(implies(X272,X274)) ),
inference(resolution,[status(thm)],[c278,condensed_detachment]) ).
cnf(c326,plain,
is_a_theorem(implies(X313,implies(implies(not(X314),X314),X314))),
inference(resolution,[status(thm)],[c310,c16]) ).
cnf(c369,plain,
is_a_theorem(implies(implies(implies(implies(not(X843),X843),X843),X844),implies(X842,X844))),
inference(resolution,[status(thm)],[c326,c4]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(implies(implies(X110,X112),implies(X111,X112)),X113),implies(implies(X111,X110),X113))),
inference(resolution,[status(thm)],[c4,cn_1]) ).
cnf(c118,plain,
( ~ is_a_theorem(implies(implies(implies(X1512,X1513),implies(X1511,X1513)),X1514))
| is_a_theorem(implies(implies(X1511,X1512),X1514)) ),
inference(resolution,[status(thm)],[c14,condensed_detachment]) ).
cnf(c1223,plain,
is_a_theorem(implies(implies(X2140,implies(not(X2142),X2142)),implies(X2141,implies(X2140,X2142)))),
inference(resolution,[status(thm)],[c118,c369]) ).
cnf(c2153,plain,
( ~ is_a_theorem(implies(X2431,implies(not(X2429),X2429)))
| is_a_theorem(implies(X2430,implies(X2431,X2429))) ),
inference(resolution,[status(thm)],[c1223,condensed_detachment]) ).
cnf(c2721,plain,
is_a_theorem(implies(X2457,implies(implies(implies(X2456,X2456),X2458),X2458))),
inference(resolution,[status(thm)],[c2153,c278]) ).
cnf(c2836,plain,
is_a_theorem(implies(implies(implies(X2461,X2461),X2462),X2462)),
inference(resolution,[status(thm)],[c2721,c0]) ).
cnf(c2874,plain,
( ~ is_a_theorem(implies(implies(X2470,X2470),X2469))
| is_a_theorem(X2469) ),
inference(resolution,[status(thm)],[c2836,condensed_detachment]) ).
cnf(c318,plain,
is_a_theorem(implies(X283,implies(X285,implies(X284,X284)))),
inference(resolution,[status(thm)],[c310,c278]) ).
cnf(c347,plain,
is_a_theorem(implies(implies(implies(X420,implies(X422,X422)),X423),implies(X421,X423))),
inference(resolution,[status(thm)],[c318,c4]) ).
cnf(c2753,plain,
is_a_theorem(implies(X3052,implies(implies(implies(X3050,implies(X3053,X3053)),X3051),X3051))),
inference(resolution,[status(thm)],[c2153,c347]) ).
cnf(c3749,plain,
is_a_theorem(implies(implies(implies(X3056,implies(X3054,X3054)),X3055),X3055)),
inference(resolution,[status(thm)],[c2753,c2874]) ).
cnf(c3781,plain,
( ~ is_a_theorem(implies(implies(X3085,implies(X3086,X3086)),X3084))
| is_a_theorem(X3084) ),
inference(resolution,[status(thm)],[c3749,condensed_detachment]) ).
cnf(c2154,plain,
is_a_theorem(implies(implies(not(X4596),X4597),implies(X4598,implies(implies(X4597,X4596),X4596)))),
inference(resolution,[status(thm)],[c1223,c118]) ).
cnf(c5750,plain,
is_a_theorem(implies(X4611,implies(X4609,implies(implies(X4610,X4611),X4611)))),
inference(resolution,[status(thm)],[c2154,c19]) ).
cnf(c5820,plain,
is_a_theorem(implies(X4626,implies(X4627,implies(implies(X4625,X4627),X4627)))),
inference(resolution,[status(thm)],[c5750,c2153]) ).
cnf(c6080,plain,
is_a_theorem(implies(X4628,implies(implies(X4629,X4628),X4628))),
inference(resolution,[status(thm)],[c5820,c3781]) ).
cnf(c6121,plain,
is_a_theorem(implies(implies(implies(implies(X4867,X4866),X4866),X4868),implies(X4866,X4868))),
inference(resolution,[status(thm)],[c6080,c4]) ).
cnf(c7085,plain,
( ~ is_a_theorem(implies(implies(implies(X4992,X4993),X4993),X4991))
| is_a_theorem(implies(X4993,X4991)) ),
inference(resolution,[status(thm)],[c6121,condensed_detachment]) ).
cnf(c7273,plain,
is_a_theorem(implies(X5001,implies(X5002,X5001))),
inference(resolution,[status(thm)],[c7085,c15]) ).
cnf(c7383,plain,
$false,
inference(resolution,[status(thm)],[c7273,prove_cn_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL047-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 4 22:00:21 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.11/0.42 (re.compile("\."), Token.FullStop),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.11/0.42 (re.compile("\("), Token.OpenPar),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.11/0.42 (re.compile("\)"), Token.ClosePar),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.11/0.42 (re.compile("\["), Token.OpenSquare),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.11/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.42 (re.compile("~\|"), Token.Nor),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.42 (re.compile("\|"), Token.Or),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.11/0.42 (re.compile("\?"), Token.Existential),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.11/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.11/0.42 (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 """
% 0.22/0.50 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.33/0.59 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.59 """
% 5.56/5.86 % Version: 1.5
% 5.56/5.86 % SZS status Unsatisfiable
% 5.56/5.86 % SZS output start CNFRefutation
% See solution above
% 5.56/5.86
% 5.56/5.86 % Initial clauses : 5
% 5.56/5.86 % Processed clauses : 342
% 5.56/5.86 % Factors computed : 0
% 5.56/5.86 % Resolvents computed: 7412
% 5.56/5.86 % Tautologies deleted: 1
% 5.56/5.86 % Forward subsumed : 1212
% 5.56/5.86 % Backward subsumed : 27
% 5.56/5.86 % -------- CPU Time ---------
% 5.56/5.86 % User time : 5.449 s
% 5.56/5.86 % System time : 0.046 s
% 5.56/5.86 % Total time : 5.495 s
%------------------------------------------------------------------------------