%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL108-1 : TPTP v9.3.1. Released v1.0.0.
% 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 12:57:52 PM UTC 2026
% Result : Unsatisfiable 0.46s 0.75s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 8 RR)
% Number of literals : 23 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 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 : 83 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_q_3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_q_3) ).
cnf(lg_27_1690,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X7,X6),X8),equivalent(equivalent(X4,X10),equivalent(equivalent(equivalent(X5,X10),equivalent(X5,X4)),X9))),equivalent(X8,equivalent(equivalent(X6,X7),X9)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X13,X11),X17),equivalent(equivalent(X12,X15),equivalent(equivalent(equivalent(X16,X15),equivalent(X16,X12)),X14))))
| is_a_theorem(equivalent(X17,equivalent(equivalent(X11,X13),X14))) ),
inference(resolution,[status(thm)],[lg_27_1690,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(equivalent(X19,X22),equivalent(equivalent(equivalent(X23,X22),equivalent(X23,X19)),X21)),equivalent(equivalent(equivalent(X20,X18),equivalent(equivalent(X24,X20),equivalent(X24,X18))),X21))),
inference(resolution,[status(thm)],[c0,lg_27_1690]) ).
cnf(c2,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X29,X30),equivalent(X29,X25)),equivalent(equivalent(equivalent(X32,equivalent(equivalent(X27,X31),equivalent(X27,X28))),equivalent(X32,equivalent(X31,X28))),X26)),equivalent(equivalent(X30,X25),X26))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X45,X40),equivalent(X45,X44)),equivalent(equivalent(equivalent(X46,equivalent(equivalent(X47,X41),equivalent(X47,X43))),equivalent(X46,equivalent(X41,X43))),X42)))
| is_a_theorem(equivalent(equivalent(X40,X44),X42)) ),
inference(resolution,[status(thm)],[c2,condensed_detachment]) ).
cnf(c7,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X51,equivalent(equivalent(X52,equivalent(X49,X48)),equivalent(X52,equivalent(X49,X53)))),equivalent(X51,equivalent(X48,X53))),X50),X50)),
inference(resolution,[status(thm)],[c5,c2]) ).
cnf(c10,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X62,equivalent(equivalent(X65,equivalent(X63,X61)),equivalent(X65,equivalent(X63,X64)))),equivalent(X62,equivalent(X61,X64))),X60))
| is_a_theorem(X60) ),
inference(resolution,[status(thm)],[c7,condensed_detachment]) ).
cnf(c15,plain,
is_a_theorem(equivalent(equivalent(equivalent(X109,equivalent(X112,X110)),equivalent(equivalent(X114,equivalent(X111,X109)),equivalent(X114,equivalent(X111,equivalent(X112,X113))))),equivalent(X110,X113))),
inference(resolution,[status(thm)],[c10,c7]) ).
cnf(c38,plain,
( ~ is_a_theorem(equivalent(equivalent(X211,equivalent(X212,X209)),equivalent(equivalent(X208,equivalent(X207,X211)),equivalent(X208,equivalent(X207,equivalent(X212,X210))))))
| is_a_theorem(equivalent(X209,X210)) ),
inference(resolution,[status(thm)],[c15,condensed_detachment]) ).
cnf(c97,plain,
is_a_theorem(equivalent(equivalent(equivalent(X223,X221),equivalent(equivalent(X220,X223),equivalent(equivalent(equivalent(X222,X221),equivalent(X222,X220)),X224))),X224)),
inference(resolution,[status(thm)],[c38,c1]) ).
cnf(c16,plain,
is_a_theorem(equivalent(equivalent(equivalent(X115,equivalent(X116,equivalent(equivalent(X120,X119),equivalent(X120,X117)))),equivalent(X115,equivalent(X116,X118))),equivalent(equivalent(X119,X117),X118))),
inference(resolution,[status(thm)],[c10,lg_27_1690]) ).
cnf(c41,plain,
( ~ is_a_theorem(equivalent(equivalent(X234,equivalent(X233,equivalent(equivalent(X231,X235),equivalent(X231,X232)))),equivalent(X234,equivalent(X233,X230))))
| is_a_theorem(equivalent(equivalent(X235,X232),X230)) ),
inference(resolution,[status(thm)],[c16,condensed_detachment]) ).
cnf(c106,plain,
is_a_theorem(equivalent(equivalent(equivalent(X266,X267),equivalent(equivalent(X267,X266),X265)),X265)),
inference(resolution,[status(thm)],[c41,c97]) ).
cnf(c162,plain,
$false,
inference(resolution,[status(thm)],[c106,prove_q_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL108-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.37 % Computer : n031.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 16:12:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.10/0.43 (re.compile("\."), Token.FullStop),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.10/0.43 (re.compile("\("), Token.OpenPar),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.10/0.43 (re.compile("\)"), Token.ClosePar),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.10/0.43 (re.compile("\["), Token.OpenSquare),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.10/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.43 (re.compile("~\|"), Token.Nor),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.43 (re.compile("\|"), Token.Or),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.10/0.43 (re.compile("\?"), Token.Existential),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.10/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.10/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.50 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.22/0.51 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.51 """
% 0.32/0.59 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.59 """
% 0.46/0.75 % Version: 1.5
% 0.46/0.75 % SZS status Unsatisfiable
% 0.46/0.75 % SZS output start CNFRefutation
% See solution above
% 0.46/0.75
% 0.46/0.75 % Initial clauses : 3
% 0.46/0.75 % Processed clauses : 44
% 0.46/0.75 % Factors computed : 0
% 0.46/0.75 % Resolvents computed: 164
% 0.46/0.75 % Tautologies deleted: 1
% 0.46/0.75 % Forward subsumed : 4
% 0.46/0.75 % Backward subsumed : 0
% 0.46/0.75 % -------- CPU Time ---------
% 0.46/0.75 % User time : 0.354 s
% 0.46/0.75 % System time : 0.020 s
% 0.46/0.75 % Total time : 0.374 s
%------------------------------------------------------------------------------