%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL364-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n031.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 12:58:19 PM UTC 2026
% Result : Unsatisfiable 4.56s 4.81s
% Output : CNFRefutation 4.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of clauses : 26 ( 19 unt; 0 nHn; 5 RR)
% Number of literals : 34 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_13,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),y),implies(z,implies(implies(y,x),x)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_13) ).
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_1,axiom,
is_a_theorem(implies(implies(X12,X11),implies(implies(X11,X10),implies(X12,X10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X26,X27))
| is_a_theorem(implies(implies(X27,X28),implies(X26,X28))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X112,X113),implies(X111,X113)),X110),implies(implies(X111,X112),X110))),
inference(resolution,[status(thm)],[c4,cn_1]) ).
cnf(c116,plain,
( ~ is_a_theorem(implies(implies(implies(X1460,X1459),implies(X1458,X1459)),X1457))
| is_a_theorem(implies(implies(X1458,X1460),X1457)) ),
inference(resolution,[status(thm)],[c16,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(c15,plain,
is_a_theorem(implies(implies(X32,X33),implies(implies(not(X32),X32),X33))),
inference(resolution,[status(thm)],[c4,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(c14,plain,
is_a_theorem(implies(implies(implies(not(X30),X31),X29),implies(X30,X29))),
inference(resolution,[status(thm)],[c4,cn_3]) ).
cnf(c17,plain,
( ~ is_a_theorem(implies(implies(not(X35),X34),X36))
| is_a_theorem(implies(X35,X36)) ),
inference(resolution,[status(thm)],[c14,condensed_detachment]) ).
cnf(c0,plain,
( ~ is_a_theorem(X7)
| is_a_theorem(implies(not(X7),X8)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).
cnf(c25,plain,
is_a_theorem(implies(X41,X41)),
inference(resolution,[status(thm)],[c17,cn_2]) ).
cnf(c32,plain,
is_a_theorem(implies(not(implies(X44,X44)),X43)),
inference(resolution,[status(thm)],[c25,c0]) ).
cnf(c38,plain,
is_a_theorem(implies(implies(X114,X115),implies(not(implies(X116,X116)),X115))),
inference(resolution,[status(thm)],[c32,c4]) ).
cnf(c123,plain,
is_a_theorem(implies(X118,implies(not(implies(X117,X117)),X119))),
inference(resolution,[status(thm)],[c38,c17]) ).
cnf(c131,plain,
is_a_theorem(implies(implies(implies(not(implies(X216,X216)),X217),X214),implies(X215,X214))),
inference(resolution,[status(thm)],[c123,c4]) ).
cnf(c245,plain,
( ~ is_a_theorem(implies(implies(not(implies(X221,X221)),X218),X220))
| is_a_theorem(implies(X219,X220)) ),
inference(resolution,[status(thm)],[c131,condensed_detachment]) ).
cnf(c259,plain,
is_a_theorem(implies(X222,implies(X223,X223))),
inference(resolution,[status(thm)],[c245,cn_2]) ).
cnf(c270,plain,
is_a_theorem(implies(implies(implies(X269,X269),X271),implies(X270,X271))),
inference(resolution,[status(thm)],[c259,c4]) ).
cnf(c300,plain,
( ~ is_a_theorem(implies(implies(X272,X272),X273))
| is_a_theorem(implies(X274,X273)) ),
inference(resolution,[status(thm)],[c270,condensed_detachment]) ).
cnf(c308,plain,
is_a_theorem(implies(X310,implies(implies(not(X309),X309),X309))),
inference(resolution,[status(thm)],[c300,c15]) ).
cnf(c365,plain,
is_a_theorem(implies(implies(implies(implies(not(X840),X840),X840),X838),implies(X839,X838))),
inference(resolution,[status(thm)],[c308,c4]) ).
cnf(c1171,plain,
is_a_theorem(implies(implies(X2065,implies(not(X2064),X2064)),implies(X2066,implies(X2065,X2064)))),
inference(resolution,[status(thm)],[c116,c365]) ).
cnf(c2063,plain,
is_a_theorem(implies(implies(not(X4549),X4550),implies(X4548,implies(implies(X4550,X4549),X4549)))),
inference(resolution,[status(thm)],[c1171,c116]) ).
cnf(c5521,plain,
$false,
inference(resolution,[status(thm)],[c2063,prove_cn_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL364-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n031.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 20:35:54 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.41 (re.compile("\."), Token.FullStop),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.41 (re.compile("\("), Token.OpenPar),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.41 (re.compile("\)"), Token.ClosePar),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.41 (re.compile("\["), Token.OpenSquare),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("~\|"), Token.Nor),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("\|"), Token.Or),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.41 (re.compile("\?"), Token.Existential),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.48 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.22/0.48 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.32/0.57 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.57 """
% 4.56/4.81 % Version: 1.5
% 4.56/4.81 % SZS status Unsatisfiable
% 4.56/4.81 % SZS output start CNFRefutation
% See solution above
% 4.56/4.81
% 4.56/4.81 % Initial clauses : 5
% 4.56/4.81 % Processed clauses : 308
% 4.56/4.81 % Factors computed : 0
% 4.56/4.81 % Resolvents computed: 5533
% 4.56/4.81 % Tautologies deleted: 1
% 4.56/4.81 % Forward subsumed : 1102
% 4.56/4.81 % Backward subsumed : 25
% 4.56/4.81 % -------- CPU Time ---------
% 4.56/4.81 % User time : 4.426 s
% 4.56/4.81 % System time : 0.027 s
% 4.56/4.81 % Total time : 4.453 s
%------------------------------------------------------------------------------