%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL361-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 5.35s 5.70s
% Output : CNFRefutation 5.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of clauses : 26 ( 19 unt; 0 nHn; 6 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_10,negated_conjecture,
~ is_a_theorem(implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_10) ).
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_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
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(c5,plain,
( ~ is_a_theorem(implies(X27,X28))
| is_a_theorem(implies(implies(X28,X26),implies(X27,X26))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(implies(not(X31),X33),X32),implies(X31,X32))),
inference(resolution,[status(thm)],[c5,cn_3]) ).
cnf(c22,plain,
( ~ is_a_theorem(implies(implies(not(X51),X50),X49))
| is_a_theorem(implies(X51,X49)) ),
inference(resolution,[status(thm)],[c14,condensed_detachment]) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(implies(X93,X92),implies(X94,X92)),X91),implies(implies(X94,X93),X91))),
inference(resolution,[status(thm)],[c5,cn_1]) ).
cnf(c89,plain,
( ~ is_a_theorem(implies(implies(implies(X965,X968),implies(X967,X968)),X966))
| is_a_theorem(implies(implies(X967,X965),X966)) ),
inference(resolution,[status(thm)],[c15,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(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(c42,plain,
is_a_theorem(implies(X56,X56)),
inference(resolution,[status(thm)],[c22,cn_2]) ).
cnf(c54,plain,
is_a_theorem(implies(not(implies(X62,X62)),X61)),
inference(resolution,[status(thm)],[c42,c0]) ).
cnf(c61,plain,
is_a_theorem(implies(implies(X116,X115),implies(not(implies(X114,X114)),X115))),
inference(resolution,[status(thm)],[c54,c5]) ).
cnf(c121,plain,
is_a_theorem(implies(X119,implies(not(implies(X118,X118)),X117))),
inference(resolution,[status(thm)],[c61,c22]) ).
cnf(c129,plain,
is_a_theorem(implies(implies(implies(not(implies(X219,X219)),X217),X218),implies(X216,X218))),
inference(resolution,[status(thm)],[c121,c5]) ).
cnf(c256,plain,
( ~ is_a_theorem(implies(implies(not(implies(X223,X223)),X220),X222))
| is_a_theorem(implies(X221,X222)) ),
inference(resolution,[status(thm)],[c129,condensed_detachment]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(X30,X29),implies(implies(not(X30),X30),X29))),
inference(resolution,[status(thm)],[c5,cn_2]) ).
cnf(c19,plain,
( ~ is_a_theorem(implies(X34,X35))
| is_a_theorem(implies(implies(not(X34),X34),X35)) ),
inference(resolution,[status(thm)],[c12,condensed_detachment]) ).
cnf(c26,plain,
is_a_theorem(implies(implies(not(implies(X248,X249)),implies(X248,X249)),implies(implies(not(X248),X248),X249))),
inference(resolution,[status(thm)],[c19,c12]) ).
cnf(c313,plain,
is_a_theorem(implies(X275,implies(implies(not(X274),X274),X274))),
inference(resolution,[status(thm)],[c26,c256]) ).
cnf(c342,plain,
is_a_theorem(implies(implies(implies(implies(not(X904),X904),X904),X905),implies(X903,X905))),
inference(resolution,[status(thm)],[c313,c5]) ).
cnf(c866,plain,
is_a_theorem(implies(implies(X1931,implies(not(X1929),X1929)),implies(X1930,implies(X1931,X1929)))),
inference(resolution,[status(thm)],[c89,c342]) ).
cnf(c1917,plain,
is_a_theorem(implies(implies(not(X4866),X4865),implies(X4867,implies(implies(X4865,X4866),X4866)))),
inference(resolution,[status(thm)],[c866,c89]) ).
cnf(c6425,plain,
is_a_theorem(implies(X4882,implies(X4881,implies(implies(X4880,X4882),X4882)))),
inference(resolution,[status(thm)],[c1917,c22]) ).
cnf(c6434,plain,
$false,
inference(resolution,[status(thm)],[c6425,prove_cn_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL361-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 01:34:58 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("\["), Token.OpenSquare),
% 0.10/0.44 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.10/0.44 (re.compile("\]"), Token.CloseSquare),
% 0.10/0.44 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.44 (re.compile("~\|"), Token.Nor),
% 0.10/0.44 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.44 (re.compile("\|"), Token.Or),
% 0.10/0.44 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.10/0.44 (re.compile("\?"), Token.Existential),
% 0.10/0.44 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.10/0.44 (re.compile("\s+"), Token.WhiteSpace),
% 0.10/0.44 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.10/0.44 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.21/0.50 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.50 """
% 0.21/0.51 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.51 """
% 0.31/0.60 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.31/0.60 """
% 5.35/5.70 % Version: 1.5
% 5.35/5.70 % SZS status Unsatisfiable
% 5.35/5.70 % SZS output start CNFRefutation
% See solution above
% 5.35/5.70
% 5.35/5.70 % Initial clauses : 5
% 5.35/5.70 % Processed clauses : 343
% 5.35/5.70 % Factors computed : 0
% 5.35/5.70 % Resolvents computed: 6459
% 5.35/5.70 % Tautologies deleted: 1
% 5.35/5.70 % Forward subsumed : 1219
% 5.35/5.70 % Backward subsumed : 18
% 5.35/5.70 % -------- CPU Time ---------
% 5.35/5.70 % User time : 5.277 s
% 5.35/5.70 % System time : 0.043 s
% 5.35/5.70 % Total time : 5.320 s
%------------------------------------------------------------------------------