%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n031.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 12:59:36 PM UTC 2026
% Result : Theorem 0.34s 0.60s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 18 sgn 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_cn_1,conjecture,
! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_1) ).
fof(c0,negated_conjecture,
~ ! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(assume_negation,[status(cth)],[prove_cn_1]) ).
fof(c1,negated_conjecture,
? [A,B,C] : ~ is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X2,X3,X4] : ~ is_a_theorem(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
~ is_a_theorem(implies(implies(skolem0001,skolem0002),implies(implies(skolem0002,skolem0003),implies(skolem0001,skolem0003)))),
inference(skolemize,[status(esa)],[c2]) ).
cnf(c4,negated_conjecture,
~ is_a_theorem(implies(implies(skolem0001,skolem0002),implies(implies(skolem0002,skolem0003),implies(skolem0001,skolem0003)))),
inference(split_conjunct,[status(thm)],[c3]) ).
fof(condensed_detachment,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(c7,plain,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
inference(fof_simplification,[status(thm)],[condensed_detachment]) ).
fof(c8,plain,
! [X10,X11] :
( ~ is_a_theorem(implies(X10,X11))
| ~ is_a_theorem(X10)
| is_a_theorem(X11) ),
inference(variable_rename,[status(thm)],[c7]) ).
cnf(c9,plain,
( ~ is_a_theorem(implies(X12,X13))
| ~ is_a_theorem(X12)
| is_a_theorem(X13) ),
inference(split_conjunct,[status(thm)],[c8]) ).
fof(a5,axiom,
! [A,B,C,D,E] : is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(D,E)),implies(B,implies(not(D),not(A)))),implies(A,D)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).
fof(c5,plain,
! [X5,X6,X7,X8,X9] : is_a_theorem(implies(implies(X5,X6),implies(implies(implies(X7,implies(X8,X9)),implies(X6,implies(not(X8),not(X5)))),implies(X5,X8)))),
inference(variable_rename,[status(thm)],[a5]) ).
cnf(c6,plain,
is_a_theorem(implies(implies(X16,X14),implies(implies(implies(X18,implies(X17,X15)),implies(X14,implies(not(X17),not(X16)))),implies(X16,X17)))),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c10,plain,
( ~ is_a_theorem(implies(X19,X22))
| is_a_theorem(implies(implies(implies(X20,implies(X23,X21)),implies(X22,implies(not(X23),not(X19)))),implies(X19,X23))) ),
inference(resolution,[status(thm)],[c6,c9]) ).
cnf(c11,plain,
is_a_theorem(implies(implies(implies(X31,implies(X25,X28)),implies(implies(implies(implies(X27,implies(X24,X29)),implies(X30,implies(not(X24),not(X26)))),implies(X26,X24)),implies(not(X25),not(implies(X26,X30))))),implies(implies(X26,X30),X25))),
inference(resolution,[status(thm)],[c10,c6]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(implies(X41,implies(X32,X40)),implies(implies(implies(X39,X35),X42),implies(not(X32),not(implies(implies(X38,implies(X42,X36)),implies(implies(implies(implies(X37,implies(X33,X34)),implies(X35,implies(not(X33),not(X39)))),implies(X39,X33)),implies(not(X42),not(implies(X39,X35))))))))),implies(implies(implies(X38,implies(X42,X36)),implies(implies(implies(implies(X37,implies(X33,X34)),implies(X35,implies(not(X33),not(X39)))),implies(X39,X33)),implies(not(X42),not(implies(X39,X35))))),X32))),
inference(resolution,[status(thm)],[c11,c10]) ).
cnf(c13,plain,
( ~ is_a_theorem(implies(implies(X48,implies(X50,X46)),implies(implies(implies(implies(X47,implies(X43,X44)),implies(X45,implies(not(X43),not(X49)))),implies(X49,X43)),implies(not(X50),not(implies(X49,X45))))))
| is_a_theorem(implies(implies(X49,X45),X50)) ),
inference(resolution,[status(thm)],[c11,c9]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(implies(X51,implies(X55,X53)),implies(X54,implies(not(X55),not(X56)))),implies(X56,X55)),X52),implies(implies(X56,X54),X52))),
inference(resolution,[status(thm)],[c13,c12]) ).
cnf(c19,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X58,implies(X60,X57)),implies(X62,implies(not(X60),not(X59)))),implies(X59,X60)),X61))
| is_a_theorem(implies(implies(X59,X62),X61)) ),
inference(resolution,[status(thm)],[c16,c9]) ).
cnf(c22,plain,
is_a_theorem(implies(implies(X65,X63),implies(implies(X63,X64),implies(X65,X64)))),
inference(resolution,[status(thm)],[c19,c16]) ).
cnf(c24,plain,
$false,
inference(resolution,[status(thm)],[c22,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.07/0.34 % Computer : n031.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 16:17:10 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.41 (re.compile("\."), Token.FullStop),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.41 (re.compile("\("), Token.OpenPar),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.41 (re.compile("\)"), Token.ClosePar),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.41 (re.compile("\["), Token.OpenSquare),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("~\|"), Token.Nor),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("\|"), Token.Or),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.41 (re.compile("\?"), Token.Existential),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.41 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.48 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.48 """
% 0.23/0.48 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.48 """
% 0.34/0.57 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.34/0.57 """
% 0.34/0.60 % Version: 1.5
% 0.34/0.60 % SZS status Theorem
% 0.34/0.60 % SZS output start CNFRefutation
% See solution above
% 0.34/0.60
% 0.34/0.60 % Initial clauses : 3
% 0.34/0.60 % Processed clauses : 10
% 0.34/0.60 % Factors computed : 0
% 0.34/0.60 % Resolvents computed: 18
% 0.34/0.60 % Tautologies deleted: 0
% 0.34/0.60 % Forward subsumed : 0
% 0.34/0.60 % Backward subsumed : 0
% 0.34/0.60 % -------- CPU Time ---------
% 0.34/0.60 % User time : 0.228 s
% 0.34/0.60 % System time : 0.021 s
% 0.34/0.60 % Total time : 0.249 s
%------------------------------------------------------------------------------