%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL367-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 12:58:20 PM UTC 2026
% Result : Unsatisfiable 2.46s 2.77s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of clauses : 36 ( 25 unt; 0 nHn; 7 RR)
% Number of literals : 48 ( 0 equ; 13 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 : 91 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_17,negated_conjecture,
~ is_a_theorem(implies(x,implies(implies(y,x),x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_17) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X6,X5))
| ~ is_a_theorem(X6)
| is_a_theorem(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(c1,plain,
( ~ is_a_theorem(implies(not(X9),X9))
| is_a_theorem(X9) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_2]) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X12,X10),implies(implies(X10,X11),implies(X12,X11)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(X30,X31))
| is_a_theorem(implies(implies(X31,X32),implies(X30,X32))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c18,plain,
is_a_theorem(implies(implies(X36,X37),implies(implies(not(X36),X36),X37))),
inference(resolution,[status(thm)],[c5,cn_2]) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X4,implies(not(X4),X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(not(X35),X34),X33),implies(X35,X33))),
inference(resolution,[status(thm)],[c5,cn_3]) ).
cnf(c23,plain,
( ~ is_a_theorem(implies(implies(not(X45),X47),X46))
| is_a_theorem(implies(X45,X46)) ),
inference(resolution,[status(thm)],[c15,condensed_detachment]) ).
cnf(c0,plain,
( ~ is_a_theorem(X8)
| is_a_theorem(implies(not(X8),X7)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).
cnf(c32,plain,
is_a_theorem(implies(X48,X48)),
inference(resolution,[status(thm)],[c23,cn_2]) ).
cnf(c36,plain,
is_a_theorem(implies(not(implies(X51,X51)),X50)),
inference(resolution,[status(thm)],[c32,c0]) ).
cnf(c40,plain,
is_a_theorem(implies(implies(X118,X119),implies(not(implies(X120,X120)),X119))),
inference(resolution,[status(thm)],[c36,c5]) ).
cnf(c118,plain,
is_a_theorem(implies(X123,implies(not(implies(X122,X122)),X121))),
inference(resolution,[status(thm)],[c40,c23]) ).
cnf(c122,plain,
is_a_theorem(implies(implies(implies(not(implies(X217,X217)),X219),X218),implies(X216,X218))),
inference(resolution,[status(thm)],[c118,c5]) ).
cnf(c249,plain,
( ~ is_a_theorem(implies(implies(not(implies(X221,X221)),X220),X223))
| is_a_theorem(implies(X222,X223)) ),
inference(resolution,[status(thm)],[c122,condensed_detachment]) ).
cnf(c259,plain,
is_a_theorem(implies(X224,implies(X225,X225))),
inference(resolution,[status(thm)],[c249,cn_2]) ).
cnf(c264,plain,
is_a_theorem(implies(implies(implies(X269,X269),X270),implies(X268,X270))),
inference(resolution,[status(thm)],[c259,c5]) ).
cnf(c310,plain,
( ~ is_a_theorem(implies(implies(X271,X271),X272))
| is_a_theorem(implies(X273,X272)) ),
inference(resolution,[status(thm)],[c264,condensed_detachment]) ).
cnf(c330,plain,
is_a_theorem(implies(X320,implies(implies(not(X319),X319),X319))),
inference(resolution,[status(thm)],[c310,c18]) ).
cnf(c383,plain,
is_a_theorem(implies(implies(implies(implies(not(X890),X890),X890),X889),implies(X888,X889))),
inference(resolution,[status(thm)],[c330,c5]) ).
cnf(c745,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1173),X1173),X1173),X1175))
| is_a_theorem(implies(X1174,X1175)) ),
inference(resolution,[status(thm)],[c383,condensed_detachment]) ).
cnf(c312,plain,
is_a_theorem(implies(implies(implies(X1570,X1569),X1571),implies(implies(implies(X1568,X1568),X1569),X1571))),
inference(resolution,[status(thm)],[c264,c5]) ).
cnf(c1197,plain,
is_a_theorem(implies(X1574,implies(implies(implies(X1572,X1572),X1573),X1573))),
inference(resolution,[status(thm)],[c312,c745]) ).
cnf(c1203,plain,
is_a_theorem(implies(implies(implies(X1576,X1576),X1575),X1575)),
inference(resolution,[status(thm)],[c1197,c1]) ).
cnf(c1216,plain,
( ~ is_a_theorem(implies(implies(X1589,X1589),X1588))
| is_a_theorem(X1588) ),
inference(resolution,[status(thm)],[c1203,condensed_detachment]) ).
cnf(c19,plain,
is_a_theorem(implies(implies(implies(implies(X149,X151),implies(X150,X151)),X148),implies(implies(X150,X149),X148))),
inference(resolution,[status(thm)],[c5,cn_1]) ).
cnf(c160,plain,
( ~ is_a_theorem(implies(implies(implies(X2074,X2072),implies(X2073,X2072)),X2075))
| is_a_theorem(implies(implies(X2073,X2074),X2075)) ),
inference(resolution,[status(thm)],[c19,condensed_detachment]) ).
cnf(c2075,plain,
is_a_theorem(implies(implies(X3226,implies(not(X3224),X3224)),implies(X3225,implies(X3226,X3224)))),
inference(resolution,[status(thm)],[c160,c383]) ).
cnf(c3716,plain,
( ~ is_a_theorem(implies(X4339,implies(not(X4338),X4338)))
| is_a_theorem(implies(X4337,implies(X4339,X4338))) ),
inference(resolution,[status(thm)],[c2075,condensed_detachment]) ).
cnf(c3720,plain,
is_a_theorem(implies(implies(not(X5200),X5199),implies(X5201,implies(implies(X5199,X5200),X5200)))),
inference(resolution,[status(thm)],[c2075,c160]) ).
cnf(c6588,plain,
is_a_theorem(implies(X5215,implies(X5213,implies(implies(X5214,X5215),X5215)))),
inference(resolution,[status(thm)],[c3720,c23]) ).
cnf(c6621,plain,
is_a_theorem(implies(X5257,implies(X5255,implies(implies(X5256,X5255),X5255)))),
inference(resolution,[status(thm)],[c6588,c3716]) ).
cnf(c7049,plain,
is_a_theorem(implies(X5259,implies(implies(X5258,X5259),X5259))),
inference(resolution,[status(thm)],[c6621,c1216]) ).
cnf(c7101,plain,
$false,
inference(resolution,[status(thm)],[c7049,prove_cn_17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL367-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.34 % Computer : n009.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 04:28:36 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.12/0.37 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.37 (re.compile("\."), Token.FullStop),
% 0.12/0.37 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.37 (re.compile("\("), Token.OpenPar),
% 0.12/0.37 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.37 (re.compile("\)"), Token.ClosePar),
% 0.12/0.37 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.37 (re.compile("\["), Token.OpenSquare),
% 0.12/0.37 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.37 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.37 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.37 (re.compile("~\|"), Token.Nor),
% 0.12/0.37 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.37 (re.compile("\|"), Token.Or),
% 0.12/0.37 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.37 (re.compile("\?"), Token.Existential),
% 0.12/0.37 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.37 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.37 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.37 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.12/0.40 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.40 """
% 0.12/0.40 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.40 """
% 0.12/0.44 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.44 """
% 2.46/2.77 % Version: 1.5
% 2.46/2.77 % SZS status Unsatisfiable
% 2.46/2.77 % SZS output start CNFRefutation
% See solution above
% 2.46/2.77
% 2.46/2.77 % Initial clauses : 5
% 2.46/2.77 % Processed clauses : 350
% 2.46/2.77 % Factors computed : 0
% 2.46/2.77 % Resolvents computed: 7102
% 2.46/2.77 % Tautologies deleted: 1
% 2.46/2.77 % Forward subsumed : 1259
% 2.46/2.77 % Backward subsumed : 27
% 2.46/2.77 % -------- CPU Time ---------
% 2.46/2.77 % User time : 2.403 s
% 2.46/2.77 % System time : 0.020 s
% 2.46/2.77 % Total time : 2.423 s
%------------------------------------------------------------------------------