%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL110-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 12:57:52 PM UTC 2026
% Result : Unsatisfiable 1.96s 2.27s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 16 unt; 0 nHn; 6 RR)
% Number of literals : 29 ( 0 equ; 8 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 : 47 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_mv_24,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_24) ).
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_2,axiom,
is_a_theorem(implies(implies(X11,X12),implies(implies(X12,X13),implies(X11,X13)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_2) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(X31,X32))
| is_a_theorem(implies(implies(X32,X33),implies(X31,X33))) ),
inference(resolution,[status(thm)],[mv_2,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(mv_1,axiom,
is_a_theorem(implies(X2,implies(X3,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_1) ).
cnf(c17,plain,
is_a_theorem(implies(implies(implies(X35,X36),X34),implies(X36,X34))),
inference(resolution,[status(thm)],[c5,mv_1]) ).
cnf(c20,plain,
( ~ is_a_theorem(implies(implies(X39,X37),X38))
| is_a_theorem(implies(X37,X38)) ),
inference(resolution,[status(thm)],[c17,condensed_detachment]) ).
cnf(c24,plain,
is_a_theorem(implies(not(X43),implies(X43,X42))),
inference(resolution,[status(thm)],[c20,mv_5]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(implies(X238,X237),X239),implies(not(X238),X239))),
inference(resolution,[status(thm)],[c24,c5]) ).
cnf(c338,plain,
( ~ is_a_theorem(implies(implies(X885,X886),X884))
| is_a_theorem(implies(not(X885),X884)) ),
inference(resolution,[status(thm)],[c29,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(c21,plain,
is_a_theorem(implies(X51,implies(implies(X51,X50),X50))),
inference(resolution,[status(thm)],[c20,mv_3]) ).
cnf(c37,plain,
( ~ is_a_theorem(X59)
| is_a_theorem(implies(implies(X59,X58),X58)) ),
inference(resolution,[status(thm)],[c21,condensed_detachment]) ).
cnf(c53,plain,
is_a_theorem(implies(implies(implies(X106,implies(X105,X106)),X104),X104)),
inference(resolution,[status(thm)],[c37,mv_1]) ).
cnf(c124,plain,
is_a_theorem(implies(X107,X107)),
inference(resolution,[status(thm)],[c53,c20]) ).
cnf(c126,plain,
is_a_theorem(implies(implies(implies(X120,X120),X121),X121)),
inference(resolution,[status(thm)],[c124,c37]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(implies(X149,X148),X150),implies(implies(not(X148),not(X149)),X150))),
inference(resolution,[status(thm)],[c5,mv_5]) ).
cnf(c204,plain,
( ~ is_a_theorem(implies(implies(X2169,X2170),X2168))
| is_a_theorem(implies(implies(not(X2170),not(X2169)),X2168)) ),
inference(resolution,[status(thm)],[c14,condensed_detachment]) ).
cnf(c3011,plain,
is_a_theorem(implies(implies(not(X2197),not(implies(X2196,X2196))),X2197)),
inference(resolution,[status(thm)],[c204,c126]) ).
cnf(c3060,plain,
is_a_theorem(implies(not(not(X2210)),X2210)),
inference(resolution,[status(thm)],[c3011,c338]) ).
cnf(c3088,plain,
$false,
inference(resolution,[status(thm)],[c3060,prove_mv_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL110-1 : 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 : n029.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 : Sat Sep 5 21:40:55 UTC 2026
% 0.10/0.36 % 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 '\('
% 0.10/0.42 (re.compile("\("), Token.OpenPar),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.10/0.42 (re.compile("\)"), Token.ClosePar),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.10/0.42 (re.compile("\["), Token.OpenSquare),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.10/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.42 (re.compile("~\|"), Token.Nor),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.42 (re.compile("\|"), Token.Or),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.10/0.42 (re.compile("\?"), Token.Existential),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.10/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.10/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.22/0.50 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.32/0.59 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.59 """
% 1.96/2.27 % Version: 1.5
% 1.96/2.27 % SZS status Unsatisfiable
% 1.96/2.27 % SZS output start CNFRefutation
% See solution above
% 1.96/2.27
% 1.96/2.27 % Initial clauses : 6
% 1.96/2.27 % Processed clauses : 205
% 1.96/2.27 % Factors computed : 0
% 1.96/2.27 % Resolvents computed: 3099
% 1.96/2.27 % Tautologies deleted: 1
% 1.96/2.27 % Forward subsumed : 542
% 1.96/2.27 % Backward subsumed : 0
% 1.96/2.27 % -------- CPU Time ---------
% 1.96/2.27 % User time : 1.876 s
% 1.96/2.27 % System time : 0.032 s
% 1.96/2.27 % Total time : 1.908 s
%------------------------------------------------------------------------------