%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL106-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 12:57:52 PM UTC 2026
% Result : Unsatisfiable 0.34s 0.61s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 17 ( 0 equ; 6 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_q_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_q_2) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(q_4,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X7)),equivalent(X9,X7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_4) ).
cnf(c1,plain,
( ~ is_a_theorem(equivalent(equivalent(X13,X15),equivalent(X13,X14)))
| is_a_theorem(equivalent(X15,X14)) ),
inference(resolution,[status(thm)],[q_4,condensed_detachment]) ).
cnf(q_1,axiom,
is_a_theorem(equivalent(X5,equivalent(equivalent(X6,X4),equivalent(equivalent(X4,X6),X5)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_1) ).
cnf(c0,plain,
( ~ is_a_theorem(X12)
| is_a_theorem(equivalent(equivalent(X11,X10),equivalent(equivalent(X10,X11),X12))) ),
inference(resolution,[status(thm)],[q_1,condensed_detachment]) ).
cnf(c2,plain,
is_a_theorem(equivalent(equivalent(X20,X23),equivalent(equivalent(X23,X20),equivalent(X22,equivalent(equivalent(X21,X19),equivalent(equivalent(X19,X21),X22)))))),
inference(resolution,[status(thm)],[c0,q_1]) ).
cnf(c6,plain,
( ~ is_a_theorem(equivalent(X33,X30))
| is_a_theorem(equivalent(equivalent(X30,X33),equivalent(X32,equivalent(equivalent(X31,X29),equivalent(equivalent(X29,X31),X32))))) ),
inference(resolution,[status(thm)],[c2,condensed_detachment]) ).
cnf(c11,plain,
is_a_theorem(equivalent(equivalent(equivalent(X88,X87),equivalent(equivalent(X85,X88),equivalent(X85,X87))),equivalent(X86,equivalent(equivalent(X89,X84),equivalent(equivalent(X84,X89),X86))))),
inference(resolution,[status(thm)],[c6,q_4]) ).
cnf(c61,plain,
is_a_theorem(equivalent(equivalent(equivalent(X91,X92),equivalent(X91,X90)),equivalent(equivalent(X94,X93),equivalent(equivalent(X93,X94),equivalent(X92,X90))))),
inference(resolution,[status(thm)],[c11,c1]) ).
cnf(c68,plain,
is_a_theorem(equivalent(equivalent(X95,X97),equivalent(equivalent(X96,X95),equivalent(X96,X97)))),
inference(resolution,[status(thm)],[c61,c1]) ).
cnf(c74,plain,
$false,
inference(resolution,[status(thm)],[c68,prove_q_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL106-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 13:29:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.42 (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),
% 0.13/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.13/0.49 """
% 0.13/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.13/0.49 """
% 0.34/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.34/0.58 """
% 0.34/0.61 % Version: 1.5
% 0.34/0.61 % SZS status Unsatisfiable
% 0.34/0.61 % SZS output start CNFRefutation
% See solution above
% 0.34/0.61
% 0.34/0.61 % Initial clauses : 4
% 0.34/0.61 % Processed clauses : 20
% 0.34/0.61 % Factors computed : 0
% 0.34/0.61 % Resolvents computed: 79
% 0.34/0.61 % Tautologies deleted: 0
% 0.34/0.61 % Forward subsumed : 2
% 0.34/0.61 % Backward subsumed : 0
% 0.34/0.61 % -------- CPU Time ---------
% 0.34/0.61 % User time : 0.233 s
% 0.34/0.61 % System time : 0.025 s
% 0.34/0.61 % Total time : 0.258 s
%------------------------------------------------------------------------------