%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL076-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 12:57:48 PM UTC 2026
% Result : Unsatisfiable 0.79s 1.09s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of clauses : 26 ( 16 unt; 0 nHn; 10 RR)
% Number of literals : 38 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 51 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_40,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_40) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X4,X5))
| ~ is_a_theorem(X4)
| is_a_theorem(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_49,axiom,
is_a_theorem(implies(implies(not(X25),not(X26)),implies(X26,X25))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_49) ).
cnf(c8,plain,
( ~ is_a_theorem(implies(not(X28),not(X27)))
| is_a_theorem(implies(X27,X28)) ),
inference(resolution,[status(thm)],[cn_49,condensed_detachment]) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X2,implies(X3,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
cnf(c0,plain,
( ~ is_a_theorem(X7)
| is_a_theorem(implies(X6,X7)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_18]) ).
cnf(transitivity,axiom,
( ~ is_a_theorem(implies(X31,X30))
| ~ is_a_theorem(implies(X30,X29))
| is_a_theorem(implies(X31,X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
cnf(c14,plain,
( ~ is_a_theorem(implies(X35,X34))
| is_a_theorem(implies(X35,implies(X33,X34))) ),
inference(resolution,[status(thm)],[transitivity,cn_18]) ).
cnf(c19,plain,
is_a_theorem(implies(X38,implies(X37,implies(X36,X38)))),
inference(resolution,[status(thm)],[c14,cn_18]) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X12,implies(X13,X11)),implies(implies(X12,X13),implies(X12,X11)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_35) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X48,implies(X47,X46)))
| is_a_theorem(implies(implies(X48,X47),implies(X48,X46))) ),
inference(resolution,[status(thm)],[cn_35,condensed_detachment]) ).
cnf(c35,plain,
is_a_theorem(implies(implies(X50,X49),implies(X50,X50))),
inference(resolution,[status(thm)],[c4,cn_18]) ).
cnf(c41,plain,
( ~ is_a_theorem(implies(X51,X52))
| is_a_theorem(implies(X51,X51)) ),
inference(resolution,[status(thm)],[c35,condensed_detachment]) ).
cnf(c44,plain,
is_a_theorem(implies(X53,X53)),
inference(resolution,[status(thm)],[c41,c19]) ).
cnf(c54,plain,
is_a_theorem(implies(X65,implies(X66,X66))),
inference(resolution,[status(thm)],[c44,c0]) ).
cnf(c52,plain,
is_a_theorem(implies(implies(implies(X506,X507),X506),implies(implies(X506,X507),X507))),
inference(resolution,[status(thm)],[c44,c4]) ).
cnf(c566,plain,
( ~ is_a_theorem(implies(implies(X947,X946),X947))
| is_a_theorem(implies(implies(X947,X946),X946)) ),
inference(resolution,[status(thm)],[c52,condensed_detachment]) ).
cnf(c833,plain,
is_a_theorem(implies(implies(implies(X949,X949),X948),X948)),
inference(resolution,[status(thm)],[c566,c54]) ).
cnf(c853,plain,
( ~ is_a_theorem(implies(implies(X951,X951),X950))
| is_a_theorem(X950) ),
inference(resolution,[status(thm)],[c833,condensed_detachment]) ).
cnf(c11,plain,
( ~ is_a_theorem(implies(X105,implies(not(X104),not(X103))))
| is_a_theorem(implies(X105,implies(X103,X104))) ),
inference(resolution,[status(thm)],[transitivity,cn_49]) ).
cnf(c102,plain,
is_a_theorem(implies(not(X109),implies(X109,X108))),
inference(resolution,[status(thm)],[c11,cn_18]) ).
cnf(c103,plain,
is_a_theorem(implies(not(not(X112)),implies(X113,X112))),
inference(resolution,[status(thm)],[c102,c11]) ).
cnf(c113,plain,
is_a_theorem(implies(implies(not(not(X1050)),X1049),implies(not(not(X1050)),X1050))),
inference(resolution,[status(thm)],[c103,c4]) ).
cnf(c1054,plain,
is_a_theorem(implies(not(not(X1053)),X1053)),
inference(resolution,[status(thm)],[c113,c853]) ).
cnf(c1071,plain,
is_a_theorem(implies(X1055,not(not(X1055)))),
inference(resolution,[status(thm)],[c1054,c8]) ).
cnf(c1086,plain,
$false,
inference(resolution,[status(thm)],[c1071,prove_cn_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL076-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 23:10:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.10/0.42 (re.compile("\."), Token.FullStop),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.10/0.43 (re.compile("\("), Token.OpenPar),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.10/0.43 (re.compile("\)"), Token.ClosePar),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.10/0.43 (re.compile("\["), Token.OpenSquare),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.10/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.43 (re.compile("~\|"), Token.Nor),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.43 (re.compile("\|"), Token.Or),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.10/0.43 (re.compile("\?"), Token.Existential),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.10/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.10/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.50 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.50 """
% 0.23/0.50 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.50 """
% 0.32/0.59 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.59 """
% 0.79/1.09 % Version: 1.5
% 0.79/1.09 % SZS status Unsatisfiable
% 0.79/1.09 % SZS output start CNFRefutation
% See solution above
% 0.79/1.09
% 0.79/1.09 % Initial clauses : 6
% 0.79/1.09 % Processed clauses : 119
% 0.79/1.09 % Factors computed : 1
% 0.79/1.09 % Resolvents computed: 1090
% 0.79/1.09 % Tautologies deleted: 3
% 0.79/1.09 % Forward subsumed : 200
% 0.79/1.09 % Backward subsumed : 2
% 0.79/1.09 % -------- CPU Time ---------
% 0.79/1.09 % User time : 0.698 s
% 0.79/1.09 % System time : 0.028 s
% 0.79/1.09 % Total time : 0.726 s
%------------------------------------------------------------------------------