%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL077-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 1.17s 1.48s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 15 unt; 0 nHn; 9 RR)
% Number of literals : 33 ( 0 equ; 11 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 : 46 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_39,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X4,X5))
| ~ is_a_theorem(X4)
| is_a_theorem(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X2,implies(X3,X2))),
file('/export/starexec/sandbox/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(cn_35,axiom,
is_a_theorem(implies(implies(X11,implies(X12,X13)),implies(implies(X11,X12),implies(X11,X13)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
cnf(c4,plain,
is_a_theorem(implies(X47,implies(implies(X49,implies(X48,X46)),implies(implies(X49,X48),implies(X49,X46))))),
inference(resolution,[status(thm)],[cn_35,c0]) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(X72,implies(X71,X70)))
| is_a_theorem(implies(implies(X72,X71),implies(X72,X70))) ),
inference(resolution,[status(thm)],[cn_35,condensed_detachment]) ).
cnf(c62,plain,
is_a_theorem(implies(implies(X73,X74),implies(X73,X73))),
inference(resolution,[status(thm)],[c5,cn_18]) ).
cnf(c70,plain,
( ~ is_a_theorem(implies(X75,X76))
| is_a_theorem(implies(X75,X75)) ),
inference(resolution,[status(thm)],[c62,condensed_detachment]) ).
cnf(c71,plain,
is_a_theorem(implies(X77,X77)),
inference(resolution,[status(thm)],[c70,c4]) ).
cnf(c84,plain,
is_a_theorem(implies(X96,implies(X97,X97))),
inference(resolution,[status(thm)],[c71,c0]) ).
cnf(c85,plain,
is_a_theorem(implies(implies(implies(X851,X850),X851),implies(implies(X851,X850),X850))),
inference(resolution,[status(thm)],[c71,c5]) ).
cnf(c822,plain,
( ~ is_a_theorem(implies(implies(X1057,X1058),X1057))
| is_a_theorem(implies(implies(X1057,X1058),X1058)) ),
inference(resolution,[status(thm)],[c85,condensed_detachment]) ).
cnf(c1047,plain,
is_a_theorem(implies(implies(implies(X1065,X1065),X1066),X1066)),
inference(resolution,[status(thm)],[c822,c84]) ).
cnf(c1087,plain,
( ~ is_a_theorem(implies(implies(X1068,X1068),X1067))
| is_a_theorem(X1067) ),
inference(resolution,[status(thm)],[c1047,condensed_detachment]) ).
cnf(cn_49,axiom,
is_a_theorem(implies(implies(not(X25),not(X26)),implies(X26,X25))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).
cnf(transitivity,axiom,
( ~ is_a_theorem(implies(X30,X29))
| ~ is_a_theorem(implies(X29,X31))
| is_a_theorem(implies(X30,X31)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
cnf(c15,plain,
( ~ is_a_theorem(implies(X164,implies(not(X163),not(X162))))
| is_a_theorem(implies(X164,implies(X162,X163))) ),
inference(resolution,[status(thm)],[transitivity,cn_49]) ).
cnf(c149,plain,
is_a_theorem(implies(not(X167),implies(X167,X168))),
inference(resolution,[status(thm)],[c15,cn_18]) ).
cnf(c156,plain,
is_a_theorem(implies(not(not(X172)),implies(X171,X172))),
inference(resolution,[status(thm)],[c149,c15]) ).
cnf(c164,plain,
is_a_theorem(implies(implies(not(not(X1559)),X1560),implies(not(not(X1559)),X1559))),
inference(resolution,[status(thm)],[c156,c5]) ).
cnf(c1763,plain,
is_a_theorem(implies(not(not(X1561)),X1561)),
inference(resolution,[status(thm)],[c164,c1087]) ).
cnf(c1774,plain,
$false,
inference(resolution,[status(thm)],[c1763,prove_cn_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL077-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 05:43:53 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.09/0.43 (re.compile("\."), Token.FullStop),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.09/0.43 (re.compile("\("), Token.OpenPar),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.09/0.43 (re.compile("\)"), Token.ClosePar),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.09/0.43 (re.compile("\["), Token.OpenSquare),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.09/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.43 (re.compile("~\|"), Token.Nor),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.43 (re.compile("\|"), Token.Or),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.09/0.43 (re.compile("\?"), Token.Existential),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.09/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.09/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.50 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.50 """
% 0.23/0.51 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.51 """
% 0.33/0.60 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.60 """
% 1.17/1.48 % Version: 1.5
% 1.17/1.48 % SZS status Unsatisfiable
% 1.17/1.48 % SZS output start CNFRefutation
% See solution above
% 1.17/1.48
% 1.17/1.48 % Initial clauses : 6
% 1.17/1.48 % Processed clauses : 143
% 1.17/1.48 % Factors computed : 1
% 1.17/1.48 % Resolvents computed: 1787
% 1.17/1.48 % Tautologies deleted: 3
% 1.17/1.48 % Forward subsumed : 329
% 1.17/1.48 % Backward subsumed : 2
% 1.17/1.48 % -------- CPU Time ---------
% 1.17/1.48 % User time : 1.077 s
% 1.17/1.48 % System time : 0.036 s
% 1.17/1.48 % Total time : 1.113 s
%------------------------------------------------------------------------------