%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL027-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 12:57:42 PM UTC 2026
% Result : Unsatisfiable 0.46s 0.76s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 19 ( 13 unt; 0 nHn; 7 RR)
% Number of literals : 26 ( 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; 2 con; 0-2 aty)
% Number of variables : 36 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_c0_4,negated_conjecture,
~ is_a_theorem(implies(falsehood,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_4) ).
cnf(c0_2,axiom,
is_a_theorem(implies(X2,implies(X3,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_2) ).
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(c0,plain,
( ~ is_a_theorem(X6)
| is_a_theorem(implies(X7,X6)) ),
inference(resolution,[status(thm)],[condensed_detachment,c0_2]) ).
cnf(c0_5,axiom,
is_a_theorem(implies(implies(implies(X11,falsehood),falsehood),X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_5) ).
cnf(c4,plain,
is_a_theorem(implies(X33,implies(implies(implies(X34,falsehood),falsehood),X34))),
inference(resolution,[status(thm)],[c0_5,c0]) ).
cnf(c0_6,axiom,
is_a_theorem(implies(implies(X18,implies(X19,X17)),implies(implies(X18,X19),implies(X18,X17)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_6) ).
cnf(c12,plain,
( ~ is_a_theorem(implies(X72,implies(X71,X73)))
| is_a_theorem(implies(implies(X72,X71),implies(X72,X73))) ),
inference(resolution,[status(thm)],[c0_6,condensed_detachment]) ).
cnf(c39,plain,
is_a_theorem(implies(implies(X313,implies(implies(X314,falsehood),falsehood)),implies(X313,X314))),
inference(resolution,[status(thm)],[c12,c4]) ).
cnf(c1,plain,
is_a_theorem(implies(X10,implies(X8,implies(X9,X8)))),
inference(resolution,[status(thm)],[c0,c0_2]) ).
cnf(c35,plain,
is_a_theorem(implies(implies(X80,X81),implies(X80,X80))),
inference(resolution,[status(thm)],[c12,c0_2]) ).
cnf(c45,plain,
( ~ is_a_theorem(implies(X82,X83))
| is_a_theorem(implies(X82,X82)) ),
inference(resolution,[status(thm)],[c35,condensed_detachment]) ).
cnf(c49,plain,
is_a_theorem(implies(X84,X84)),
inference(resolution,[status(thm)],[c45,c1]) ).
cnf(c66,plain,
is_a_theorem(implies(implies(implies(X230,X231),X230),implies(implies(X230,X231),X231))),
inference(resolution,[status(thm)],[c49,c12]) ).
cnf(c176,plain,
( ~ is_a_theorem(implies(implies(X325,X326),X325))
| is_a_theorem(implies(implies(X325,X326),X326)) ),
inference(resolution,[status(thm)],[c66,condensed_detachment]) ).
cnf(c252,plain,
is_a_theorem(implies(implies(implies(X397,implies(X398,X397)),X399),X399)),
inference(resolution,[status(thm)],[c176,c1]) ).
cnf(c319,plain,
( ~ is_a_theorem(implies(implies(X508,implies(X507,X508)),X509))
| is_a_theorem(X509) ),
inference(resolution,[status(thm)],[c252,condensed_detachment]) ).
cnf(c417,plain,
is_a_theorem(implies(falsehood,X516)),
inference(resolution,[status(thm)],[c319,c39]) ).
cnf(c442,plain,
$false,
inference(resolution,[status(thm)],[c417,prove_c0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL027-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 17:12:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.41 (re.compile("\."), Token.FullStop),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.42 (re.compile("\("), Token.OpenPar),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.42 (re.compile("\)"), Token.ClosePar),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.42 (re.compile("\["), Token.OpenSquare),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("~\|"), Token.Nor),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("\|"), Token.Or),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.42 (re.compile("\?"), Token.Existential),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.23/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.32/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.58 """
% 0.46/0.76 % Version: 1.5
% 0.46/0.76 % SZS status Unsatisfiable
% 0.46/0.76 % SZS output start CNFRefutation
% See solution above
% 0.46/0.76
% 0.46/0.76 % Initial clauses : 5
% 0.46/0.76 % Processed clauses : 63
% 0.46/0.76 % Factors computed : 0
% 0.46/0.76 % Resolvents computed: 443
% 0.46/0.76 % Tautologies deleted: 2
% 0.46/0.76 % Forward subsumed : 117
% 0.46/0.76 % Backward subsumed : 7
% 0.46/0.76 % -------- CPU Time ---------
% 0.46/0.76 % User time : 0.374 s
% 0.46/0.76 % System time : 0.031 s
% 0.46/0.76 % Total time : 0.405 s
%------------------------------------------------------------------------------