%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL097-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 12:57:51 PM UTC 2026
% Result : Unsatisfiable 33.17s 33.43s
% Output : CNFRefutation 33.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 5 RR)
% Number of literals : 17 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_lg_4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_4) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(lg_3,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X12,X15),equivalent(X12,X16)),X14),equivalent(equivalent(X15,X16),X14)),X13),X13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_3) ).
cnf(c1,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X20,X19),equivalent(X20,X21)),X18),equivalent(equivalent(X19,X21),X18)),X17))
| is_a_theorem(X17) ),
inference(resolution,[status(thm)],[lg_3,condensed_detachment]) ).
cnf(lg_2,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X7)),equivalent(X5,X7)),X6),X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_2) ).
cnf(c2,plain,
is_a_theorem(equivalent(equivalent(X23,X22),equivalent(X23,X22))),
inference(resolution,[status(thm)],[c1,lg_2]) ).
cnf(c4,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X48,X47),equivalent(X48,X46)),X45),equivalent(equivalent(X47,X46),X45))),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(c32,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X239,X237),equivalent(X239,X238)),X236))
| is_a_theorem(equivalent(equivalent(X237,X238),X236)) ),
inference(resolution,[status(thm)],[c4,condensed_detachment]) ).
cnf(c3,plain,
is_a_theorem(equivalent(equivalent(equivalent(X35,X36),X34),equivalent(equivalent(X33,X36),equivalent(equivalent(X35,X33),X34)))),
inference(resolution,[status(thm)],[c1,lg_3]) ).
cnf(c16,plain,
is_a_theorem(equivalent(equivalent(X103,X102),equivalent(equivalent(equivalent(equivalent(X101,X100),equivalent(X101,X99)),X103),equivalent(equivalent(X100,X99),X102)))),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(c62,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X530,X531),equivalent(X530,X532)),equivalent(equivalent(equivalent(X529,X528),equivalent(X529,X527)),X533)),equivalent(equivalent(X531,X532),equivalent(equivalent(X528,X527),X533)))),
inference(resolution,[status(thm)],[c16,c1]) ).
cnf(c798,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X10264,X10265),X10266),X10263),equivalent(equivalent(equivalent(X10264,X10267),X10266),equivalent(equivalent(X10265,X10267),X10263)))),
inference(resolution,[status(thm)],[c62,c32]) ).
cnf(c26661,plain,
$false,
inference(resolution,[status(thm)],[c798,prove_lg_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL097-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.34 % Computer : n009.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 5 18:47:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.38 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.09/0.38 (re.compile("\."), Token.FullStop),
% 0.09/0.38 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.09/0.38 (re.compile("\("), Token.OpenPar),
% 0.09/0.38 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.09/0.38 (re.compile("\)"), Token.ClosePar),
% 0.09/0.38 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.09/0.38 (re.compile("\["), Token.OpenSquare),
% 0.09/0.38 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.09/0.38 (re.compile("\]"), Token.CloseSquare),
% 0.09/0.38 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.38 (re.compile("~\|"), Token.Nor),
% 0.09/0.38 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.38 (re.compile("\|"), Token.Or),
% 0.09/0.38 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.09/0.38 (re.compile("\?"), Token.Existential),
% 0.09/0.38 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.09/0.38 (re.compile("\s+"), Token.WhiteSpace),
% 0.09/0.38 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.09/0.38 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.14/0.45 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.14/0.45 """
% 0.14/0.45 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.14/0.45 """
% 0.26/0.55 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.26/0.55 """
% 33.17/33.43 % Version: 1.5
% 33.17/33.43 % SZS status Unsatisfiable
% 33.17/33.43 % SZS output start CNFRefutation
% See solution above
% 33.17/33.43
% 33.17/33.43 % Initial clauses : 4
% 33.17/33.43 % Processed clauses : 589
% 33.17/33.43 % Factors computed : 0
% 33.17/33.43 % Resolvents computed: 26665
% 33.17/33.43 % Tautologies deleted: 2
% 33.17/33.43 % Forward subsumed : 2715
% 33.17/33.43 % Backward subsumed : 1
% 33.17/33.43 % -------- CPU Time ---------
% 33.17/33.43 % User time : 32.973 s
% 33.17/33.43 % System time : 0.108 s
% 33.17/33.43 % Total time : 33.081 s
%------------------------------------------------------------------------------