%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL033-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 12:57:43 PM UTC 2026
% Result : Unsatisfiable 0.32s 0.61s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 4 RR)
% Number of literals : 18 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 40 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_c0_2,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_2) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c0_CAMeredith,axiom,
is_a_theorem(implies(implies(implies(implies(implies(X6,X8),implies(X5,falsehood)),X7),X4),implies(implies(X4,X6),implies(X5,X6)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_CAMeredith) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X12,X9),implies(X13,falsehood)),X10),X11))
| is_a_theorem(implies(implies(X11,X12),implies(X13,X12))) ),
inference(resolution,[status(thm)],[c0_CAMeredith,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(implies(X15,X17),implies(X18,X17)),implies(X17,X14)),implies(X16,implies(X17,X14)))),
inference(resolution,[status(thm)],[c0,c0_CAMeredith]) ).
cnf(c2,plain,
is_a_theorem(implies(implies(implies(X22,implies(falsehood,X20)),X21),implies(X19,X21))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c4,plain,
is_a_theorem(implies(implies(implies(X23,X24),X25),implies(falsehood,X25))),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(c6,plain,
is_a_theorem(implies(implies(implies(falsehood,X27),X28),implies(X26,X28))),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(c3,plain,
( ~ is_a_theorem(implies(implies(implies(X36,X38),implies(X39,X38)),implies(X38,X37)))
| is_a_theorem(implies(X40,implies(X38,X37))) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c15,plain,
is_a_theorem(implies(X45,implies(X44,implies(X46,X44)))),
inference(resolution,[status(thm)],[c3,c6]) ).
cnf(c20,plain,
( ~ is_a_theorem(X47)
| is_a_theorem(implies(X49,implies(X48,X49))) ),
inference(resolution,[status(thm)],[c15,condensed_detachment]) ).
cnf(c23,plain,
is_a_theorem(implies(X51,implies(X50,X51))),
inference(resolution,[status(thm)],[c20,c6]) ).
cnf(c32,plain,
$false,
inference(resolution,[status(thm)],[c23,prove_c0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL033-1 : 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 : n002.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
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Fri Sep 4 18:53:05 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.02/0.42 (re.compile("\."), Token.FullStop),
% 0.02/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.02/0.42 (re.compile("\("), Token.OpenPar),
% 0.02/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.02/0.42 (re.compile("\)"), Token.ClosePar),
% 0.02/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.02/0.42 (re.compile("\["), Token.OpenSquare),
% 0.02/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.02/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.02/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.02/0.42 (re.compile("~\|"), Token.Nor),
% 0.02/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.02/0.42 (re.compile("\|"), Token.Or),
% 0.02/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.02/0.42 (re.compile("\?"), Token.Existential),
% 0.02/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.02/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.02/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.02/0.42 (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 """
% 0.22/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.32/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.58 """
% 0.32/0.61 % Version: 1.5
% 0.32/0.61 % SZS status Unsatisfiable
% 0.32/0.61 % SZS output start CNFRefutation
% See solution above
% 0.32/0.61
% 0.32/0.61 % Initial clauses : 3
% 0.32/0.61 % Processed clauses : 16
% 0.32/0.61 % Factors computed : 0
% 0.32/0.61 % Resolvents computed: 42
% 0.32/0.61 % Tautologies deleted: 0
% 0.32/0.61 % Forward subsumed : 2
% 0.32/0.61 % Backward subsumed : 1
% 0.32/0.61 % -------- CPU Time ---------
% 0.32/0.61 % User time : 0.220 s
% 0.32/0.61 % System time : 0.025 s
% 0.32/0.61 % Total time : 0.245 s
%------------------------------------------------------------------------------