%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL079-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 12:57:48 PM UTC 2026
% Result : Unsatisfiable 0.40s 0.64s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 18 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_transitivity,negated_conjecture,
~ is_a_theorem(implies(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity) ).
cnf(a_implies_b,plain,
is_a_theorem(implies(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_implies_b) ).
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(b_implies_c,plain,
is_a_theorem(implies(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_implies_c) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X2,implies(X3,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
cnf(c1,plain,
( ~ is_a_theorem(X10)
| is_a_theorem(implies(X9,X10)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_18]) ).
cnf(c6,plain,
is_a_theorem(implies(X12,implies(b,c))),
inference(resolution,[status(thm)],[c1,b_implies_c]) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X7,implies(X8,X6)),implies(implies(X7,X8),implies(X7,X6)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_35) ).
cnf(c3,plain,
( ~ is_a_theorem(implies(X26,implies(X25,X27)))
| is_a_theorem(implies(implies(X26,X25),implies(X26,X27))) ),
inference(resolution,[status(thm)],[cn_35,condensed_detachment]) ).
cnf(c20,plain,
is_a_theorem(implies(implies(X66,b),implies(X66,c))),
inference(resolution,[status(thm)],[c3,c6]) ).
cnf(c61,plain,
( ~ is_a_theorem(implies(X88,b))
| is_a_theorem(implies(X88,c)) ),
inference(resolution,[status(thm)],[c20,condensed_detachment]) ).
cnf(c100,plain,
is_a_theorem(implies(a,c)),
inference(resolution,[status(thm)],[c61,a_implies_b]) ).
cnf(c102,plain,
$false,
inference(resolution,[status(thm)],[c100,prove_transitivity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL079-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 6 01:05:53 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.42 (re.compile("\."), Token.FullStop),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.42 (re.compile("\("), Token.OpenPar),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.42 (re.compile("\)"), Token.ClosePar),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.42 (re.compile("\["), Token.OpenSquare),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("~\|"), Token.Nor),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("\|"), Token.Or),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.42 (re.compile("\?"), Token.Existential),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.42 (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 """
% 0.23/0.50 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.50 """
% 0.33/0.59 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.59 """
% 0.40/0.64 % Version: 1.5
% 0.40/0.64 % SZS status Unsatisfiable
% 0.40/0.64 % SZS output start CNFRefutation
% See solution above
% 0.40/0.64
% 0.40/0.64 % Initial clauses : 7
% 0.40/0.64 % Processed clauses : 39
% 0.40/0.64 % Factors computed : 0
% 0.40/0.64 % Resolvents computed: 106
% 0.40/0.64 % Tautologies deleted: 1
% 0.40/0.64 % Forward subsumed : 18
% 0.40/0.64 % Backward subsumed : 2
% 0.40/0.64 % -------- CPU Time ---------
% 0.40/0.64 % User time : 0.256 s
% 0.40/0.64 % System time : 0.022 s
% 0.40/0.64 % Total time : 0.278 s
%------------------------------------------------------------------------------