%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL112-1 : 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 12:57:53 PM UTC 2026
% Result : Unsatisfiable 1.46s 1.75s
% Output : CNFRefutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of clauses : 24 ( 17 unt; 0 nHn; 7 RR)
% Number of literals : 32 ( 0 equ; 9 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 : 50 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_mv_29,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_29) ).
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(mv_5,axiom,
is_a_theorem(implies(implies(not(X25),not(X26)),implies(X26,X25))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_5) ).
cnf(c8,plain,
( ~ is_a_theorem(implies(not(X28),not(X27)))
| is_a_theorem(implies(X27,X28)) ),
inference(resolution,[status(thm)],[mv_5,condensed_detachment]) ).
cnf(mv_2,axiom,
is_a_theorem(implies(implies(X12,X13),implies(implies(X13,X11),implies(X12,X11)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_2) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X33,X32))
| is_a_theorem(implies(implies(X32,X31),implies(X33,X31))) ),
inference(resolution,[status(thm)],[mv_2,condensed_detachment]) ).
cnf(mv_1,axiom,
is_a_theorem(implies(X2,implies(X3,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_1) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(X34,X36),X35),implies(X36,X35))),
inference(resolution,[status(thm)],[c4,mv_1]) ).
cnf(c19,plain,
( ~ is_a_theorem(implies(implies(X38,X39),X37))
| is_a_theorem(implies(X39,X37)) ),
inference(resolution,[status(thm)],[c15,condensed_detachment]) ).
cnf(c23,plain,
is_a_theorem(implies(not(X42),implies(X42,X43))),
inference(resolution,[status(thm)],[c19,mv_5]) ).
cnf(c28,plain,
is_a_theorem(implies(implies(implies(X239,X237),X238),implies(not(X239),X238))),
inference(resolution,[status(thm)],[c23,c4]) ).
cnf(c339,plain,
( ~ is_a_theorem(implies(implies(X887,X886),X888))
| is_a_theorem(implies(not(X887),X888)) ),
inference(resolution,[status(thm)],[c28,condensed_detachment]) ).
cnf(mv_3,axiom,
is_a_theorem(implies(implies(implies(X29,X30),X30),implies(implies(X30,X29),X29))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_3) ).
cnf(c26,plain,
is_a_theorem(implies(X57,implies(implies(X57,X56),X56))),
inference(resolution,[status(thm)],[c19,mv_3]) ).
cnf(c41,plain,
( ~ is_a_theorem(X67)
| is_a_theorem(implies(implies(X67,X66),X66)) ),
inference(resolution,[status(thm)],[c26,condensed_detachment]) ).
cnf(c66,plain,
is_a_theorem(implies(implies(implies(X108,implies(X107,X108)),X109),X109)),
inference(resolution,[status(thm)],[c41,mv_1]) ).
cnf(c122,plain,
is_a_theorem(implies(X110,X110)),
inference(resolution,[status(thm)],[c66,c19]) ).
cnf(c128,plain,
is_a_theorem(implies(implies(implies(X125,X125),X124),X124)),
inference(resolution,[status(thm)],[c122,c41]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(X142,X144),X143),implies(implies(not(X144),not(X142)),X143))),
inference(resolution,[status(thm)],[c4,mv_5]) ).
cnf(c172,plain,
( ~ is_a_theorem(implies(implies(X1990,X1992),X1991))
| is_a_theorem(implies(implies(not(X1992),not(X1990)),X1991)) ),
inference(resolution,[status(thm)],[c13,condensed_detachment]) ).
cnf(c2326,plain,
is_a_theorem(implies(implies(not(X2255),not(implies(X2256,X2256))),X2255)),
inference(resolution,[status(thm)],[c172,c128]) ).
cnf(c2625,plain,
is_a_theorem(implies(not(not(X2264)),X2264)),
inference(resolution,[status(thm)],[c2326,c339]) ).
cnf(c2752,plain,
is_a_theorem(implies(X2265,not(not(X2265)))),
inference(resolution,[status(thm)],[c2625,c8]) ).
cnf(c2765,plain,
$false,
inference(resolution,[status(thm)],[c2752,prove_mv_29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL112-1 : 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 : n018.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 08:06:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.09/0.39 (re.compile("\."), Token.FullStop),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.09/0.39 (re.compile("\("), Token.OpenPar),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.09/0.39 (re.compile("\)"), Token.ClosePar),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.09/0.39 (re.compile("\["), Token.OpenSquare),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.09/0.39 (re.compile("\]"), Token.CloseSquare),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.39 (re.compile("~\|"), Token.Nor),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.39 (re.compile("\|"), Token.Or),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.09/0.39 (re.compile("\?"), Token.Existential),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.09/0.39 (re.compile("\s+"), Token.WhiteSpace),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.09/0.39 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.09/0.42 """
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.09/0.42 """
% 0.21/0.46 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.46 """
% 1.46/1.75 % Version: 1.5
% 1.46/1.75 % SZS status Unsatisfiable
% 1.46/1.75 % SZS output start CNFRefutation
% See solution above
% 1.46/1.75
% 1.46/1.75 % Initial clauses : 6
% 1.46/1.75 % Processed clauses : 187
% 1.46/1.75 % Factors computed : 0
% 1.46/1.75 % Resolvents computed: 2782
% 1.46/1.75 % Tautologies deleted: 1
% 1.46/1.75 % Forward subsumed : 564
% 1.46/1.75 % Backward subsumed : 0
% 1.46/1.75 % -------- CPU Time ---------
% 1.46/1.75 % User time : 1.362 s
% 1.46/1.75 % System time : 0.021 s
% 1.46/1.75 % Total time : 1.383 s
%------------------------------------------------------------------------------