%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL064-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 12:57:47 PM UTC 2026
% Result : Unsatisfiable 8.91s 9.19s
% Output : CNFRefutation 8.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of clauses : 27 ( 18 unt; 0 nHn; 10 RR)
% Number of literals : 37 ( 0 equ; 11 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; 3 con; 0-2 aty)
% Number of variables : 69 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_1,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_1) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X4))
| ~ is_a_theorem(X5)
| is_a_theorem(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X3,implies(X2,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
cnf(c0,plain,
( ~ is_a_theorem(X6)
| is_a_theorem(implies(X7,X6)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_18]) ).
cnf(c1,plain,
is_a_theorem(implies(X10,implies(X8,implies(X9,X8)))),
inference(resolution,[status(thm)],[c0,cn_18]) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X15,implies(X14,X16)),implies(implies(X15,X14),implies(X15,X16)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_35) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(X36,implies(X37,X35)))
| is_a_theorem(implies(implies(X36,X37),implies(X36,X35))) ),
inference(resolution,[status(thm)],[cn_35,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(X98,implies(X99,X97)),implies(X98,X99)),implies(implies(X98,implies(X99,X97)),implies(X98,X97)))),
inference(resolution,[status(thm)],[c5,cn_35]) ).
cnf(c58,plain,
( ~ is_a_theorem(implies(implies(X426,implies(X427,X425)),implies(X426,X427)))
| is_a_theorem(implies(implies(X426,implies(X427,X425)),implies(X426,X425))) ),
inference(resolution,[status(thm)],[c13,condensed_detachment]) ).
cnf(c354,plain,
is_a_theorem(implies(implies(X1172,implies(implies(X1170,X1172),X1171)),implies(X1172,X1171))),
inference(resolution,[status(thm)],[c58,c1]) ).
cnf(c1080,plain,
( ~ is_a_theorem(implies(X2652,implies(implies(X2653,X2652),X2651)))
| is_a_theorem(implies(X2652,X2651)) ),
inference(resolution,[status(thm)],[c354,condensed_detachment]) ).
cnf(c1086,plain,
is_a_theorem(implies(X9446,implies(implies(X9444,implies(implies(X9445,X9444),X9443)),implies(X9444,X9443)))),
inference(resolution,[status(thm)],[c354,c0]) ).
cnf(c12573,plain,
is_a_theorem(implies(implies(implies(X9460,X9458),X9459),implies(X9458,X9459))),
inference(resolution,[status(thm)],[c1086,c1080]) ).
cnf(c12623,plain,
( ~ is_a_theorem(implies(implies(X9500,X9502),X9501))
| is_a_theorem(implies(X9502,X9501)) ),
inference(resolution,[status(thm)],[c12573,condensed_detachment]) ).
cnf(c4,plain,
is_a_theorem(implies(X48,implies(implies(X46,implies(X45,X47)),implies(implies(X46,X45),implies(X46,X47))))),
inference(resolution,[status(thm)],[cn_35,c0]) ).
cnf(c27,plain,
is_a_theorem(implies(implies(X188,implies(X186,implies(X185,X187))),implies(X188,implies(implies(X186,X185),implies(X186,X187))))),
inference(resolution,[status(thm)],[c4,c5]) ).
cnf(c10,plain,
is_a_theorem(implies(implies(X38,X39),implies(X38,X38))),
inference(resolution,[status(thm)],[c5,cn_18]) ).
cnf(c17,plain,
( ~ is_a_theorem(implies(X40,X41))
| is_a_theorem(implies(X40,X40)) ),
inference(resolution,[status(thm)],[c10,condensed_detachment]) ).
cnf(c18,plain,
is_a_theorem(implies(X42,X42)),
inference(resolution,[status(thm)],[c17,cn_18]) ).
cnf(c24,plain,
is_a_theorem(implies(implies(implies(X162,X161),X162),implies(implies(X162,X161),X161))),
inference(resolution,[status(thm)],[c18,c5]) ).
cnf(c108,plain,
( ~ is_a_theorem(implies(implies(X256,X257),X256))
| is_a_theorem(implies(implies(X256,X257),X257)) ),
inference(resolution,[status(thm)],[c24,condensed_detachment]) ).
cnf(c176,plain,
is_a_theorem(implies(implies(implies(X312,implies(X310,X312)),X311),X311)),
inference(resolution,[status(thm)],[c108,c1]) ).
cnf(c224,plain,
( ~ is_a_theorem(implies(implies(X371,implies(X370,X371)),X369))
| is_a_theorem(X369) ),
inference(resolution,[status(thm)],[c176,condensed_detachment]) ).
cnf(c283,plain,
is_a_theorem(implies(implies(X1123,X1124),implies(implies(X1122,X1123),implies(X1122,X1124)))),
inference(resolution,[status(thm)],[c224,c27]) ).
cnf(c1054,plain,
is_a_theorem(implies(implies(implies(X14484,X14482),implies(X14483,X14484)),implies(implies(X14484,X14482),implies(X14483,X14482)))),
inference(resolution,[status(thm)],[c283,c5]) ).
cnf(c24374,plain,
is_a_theorem(implies(implies(X14512,X14513),implies(implies(X14513,X14514),implies(X14512,X14514)))),
inference(resolution,[status(thm)],[c1054,c12623]) ).
cnf(c24538,plain,
$false,
inference(resolution,[status(thm)],[c24374,prove_cn_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL064-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 22:28:41 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.14/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.38 (re.compile("\."), Token.FullStop),
% 0.14/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.38 (re.compile("\("), Token.OpenPar),
% 0.14/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.38 (re.compile("\)"), Token.ClosePar),
% 0.14/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.38 (re.compile("\["), Token.OpenSquare),
% 0.14/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.38 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.38 (re.compile("~\|"), Token.Nor),
% 0.14/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.38 (re.compile("\|"), Token.Or),
% 0.14/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.38 (re.compile("\?"), Token.Existential),
% 0.14/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.38 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.38 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.14/0.41 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.14/0.41 """
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.14/0.42 """
% 0.14/0.45 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.14/0.45 """
% 8.91/9.19 % Version: 1.5
% 8.91/9.19 % SZS status Unsatisfiable
% 8.91/9.19 % SZS output start CNFRefutation
% See solution above
% 8.91/9.19
% 8.91/9.19 % Initial clauses : 4
% 8.91/9.19 % Processed clauses : 465
% 8.91/9.19 % Factors computed : 0
% 8.91/9.19 % Resolvents computed: 24610
% 8.91/9.19 % Tautologies deleted: 1
% 8.91/9.19 % Forward subsumed : 3446
% 8.91/9.19 % Backward subsumed : 2
% 8.91/9.19 % -------- CPU Time ---------
% 8.91/9.19 % User time : 8.794 s
% 8.91/9.19 % System time : 0.044 s
% 8.91/9.19 % Total time : 8.838 s
%------------------------------------------------------------------------------