%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL205-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 12:58:03 PM UTC 2026
% Result : Unsatisfiable 235.87s 236.23s
% Output : CNFRefutation 235.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of clauses : 51 ( 33 unt; 0 nHn; 16 RR)
% Number of literals : 73 ( 18 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 113 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(not(implies(p,q)),implies(p,not(q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c4,axiom,
( X17 != X16
| ~ theorem(X17)
| theorem(X16) ),
theory(equality) ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
theory(equality) ).
cnf(implies_definition,axiom,
implies(X21,X22) = or(not(X21),X22),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c12,plain,
or(not(X46),X45) = implies(X46,X45),
inference(resolution,[status(thm)],[implies_definition,symmetry]) ).
cnf(c27,plain,
( ~ theorem(or(not(X102),X103))
| theorem(implies(X102,X103)) ),
inference(resolution,[status(thm)],[c12,c4]) ).
cnf(rule_2,axiom,
( theorem(X23)
| ~ theorem(implies(X24,X23))
| ~ theorem(X24) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(rule_1,axiom,
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X19,X18),or(X18,X19))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(c10,plain,
theorem(implies(or(X44,X43),or(X43,X44))),
inference(resolution,[status(thm)],[axiom_1_4,rule_1]) ).
cnf(c26,plain,
( theorem(or(X55,X56))
| ~ theorem(or(X56,X55)) ),
inference(resolution,[status(thm)],[c10,rule_2]) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X7,X7),X7)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(c6,plain,
theorem(implies(or(X10,X10),X10)),
inference(resolution,[status(thm)],[axiom_1_2,rule_1]) ).
cnf(c14,plain,
( theorem(X25)
| ~ theorem(or(X25,X25)) ),
inference(resolution,[status(thm)],[rule_2,c6]) ).
cnf(axiom_1_3,axiom,
axiom(implies(X9,or(X8,X9))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c7,plain,
theorem(implies(X11,or(X12,X11))),
inference(resolution,[status(thm)],[axiom_1_3,rule_1]) ).
cnf(c11,plain,
( ~ theorem(implies(X77,X76))
| theorem(or(not(X77),X76)) ),
inference(resolution,[status(thm)],[implies_definition,c4]) ).
cnf(c48,plain,
theorem(or(not(X83),or(X82,X83))),
inference(resolution,[status(thm)],[c11,c7]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X29,or(X28,X30)),or(X28,or(X29,X30)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c18,plain,
theorem(implies(or(X101,or(X99,X100)),or(X99,or(X101,X100)))),
inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).
cnf(c72,plain,
( theorem(or(X390,or(X391,X389)))
| ~ theorem(or(X391,or(X390,X389))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(c355,plain,
theorem(or(X393,or(not(X392),X392))),
inference(resolution,[status(thm)],[c72,c48]) ).
cnf(c356,plain,
theorem(or(not(X394),X394)),
inference(resolution,[status(thm)],[c355,c14]) ).
cnf(c363,plain,
theorem(or(X397,not(X397))),
inference(resolution,[status(thm)],[c356,c26]) ).
cnf(c374,plain,
theorem(implies(X416,not(not(X416)))),
inference(resolution,[status(thm)],[c363,c27]) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X41,X40),implies(or(X42,X41),or(X42,X40)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(c24,plain,
theorem(implies(implies(X139,X138),implies(or(X137,X139),or(X137,X138)))),
inference(resolution,[status(thm)],[axiom_1_6,rule_1]) ).
cnf(c105,plain,
( theorem(implies(or(X589,X591),or(X589,X590)))
| ~ theorem(implies(X591,X590)) ),
inference(resolution,[status(thm)],[c24,rule_2]) ).
cnf(c759,plain,
theorem(implies(or(X2541,X2540),or(X2541,not(not(X2540))))),
inference(resolution,[status(thm)],[c105,c374]) ).
cnf(c3406,plain,
( theorem(or(X2840,not(not(X2841))))
| ~ theorem(or(X2840,X2841)) ),
inference(resolution,[status(thm)],[c759,rule_2]) ).
cnf(c55,plain,
theorem(or(or(X86,X85),not(X85))),
inference(resolution,[status(thm)],[c48,c26]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X81 != X80
| X79 != X78
| or(X81,X79) = or(X80,X78) ),
theory(equality) ).
cnf(c54,plain,
( X148 != X147
| or(X148,X149) = or(X147,X149) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(c114,plain,
or(or(not(X670),X671),X672) = or(implies(X670,X671),X672),
inference(resolution,[status(thm)],[c54,c12]) ).
cnf(c1053,plain,
( ~ theorem(or(or(not(X9780),X9778),X9779))
| theorem(or(implies(X9780,X9778),X9779)) ),
inference(resolution,[status(thm)],[c114,c4]) ).
cnf(c24663,plain,
theorem(or(implies(X9785,X9786),not(X9786))),
inference(resolution,[status(thm)],[c1053,c55]) ).
cnf(c24710,plain,
theorem(or(not(X9794),implies(X9795,X9794))),
inference(resolution,[status(thm)],[c24663,c26]) ).
cnf(c24756,plain,
theorem(or(not(X11393),not(not(implies(X11392,X11393))))),
inference(resolution,[status(thm)],[c24710,c3406]) ).
cnf(c36972,plain,
theorem(or(not(not(implies(X12938,X12937))),not(X12937))),
inference(resolution,[status(thm)],[c24756,c26]) ).
cnf(c41927,plain,
theorem(implies(not(implies(X12942,X12941)),not(X12941))),
inference(resolution,[status(thm)],[c36972,c27]) ).
cnf(c24769,plain,
theorem(implies(X9798,implies(X9799,X9798))),
inference(resolution,[status(thm)],[c24710,c27]) ).
cnf(c24781,plain,
theorem(implies(or(X11456,X11454),or(X11456,implies(X11455,X11454)))),
inference(resolution,[status(thm)],[c24769,c105]) ).
cnf(c0,axiom,
( X65 != X64
| X63 != X62
| implies(X65,X63) = implies(X64,X62) ),
theory(equality) ).
cnf(c43,plain,
( X246 != X249
| implies(X246,or(not(X248),X247)) = implies(X249,implies(X248,X247)) ),
inference(resolution,[status(thm)],[c0,c12]) ).
cnf(c197,plain,
implies(or(not(X1366),X1367),or(not(X1368),X1365)) = implies(implies(X1366,X1367),implies(X1368,X1365)),
inference(resolution,[status(thm)],[c43,c12]) ).
cnf(c2119,plain,
( ~ theorem(implies(or(not(X24293),X24295),or(not(X24292),X24294)))
| theorem(implies(implies(X24293,X24295),implies(X24292,X24294))) ),
inference(resolution,[status(thm)],[c197,c4]) ).
cnf(c89632,plain,
theorem(implies(implies(X24348,X24349),implies(X24348,implies(X24350,X24349)))),
inference(resolution,[status(thm)],[c2119,c24781]) ).
cnf(c90246,plain,
( theorem(implies(X26266,implies(X26265,X26264)))
| ~ theorem(implies(X26266,X26264)) ),
inference(resolution,[status(thm)],[c89632,rule_2]) ).
cnf(c100554,plain,
theorem(implies(not(implies(X40178,X40176)),implies(X40177,not(X40176)))),
inference(resolution,[status(thm)],[c90246,c41927]) ).
cnf(c174834,plain,
$false,
inference(resolution,[status(thm)],[c100554,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL205-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.36 % Computer : n009.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 : Sat Sep 5 07:53:21 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.11/0.42 (re.compile("\."), Token.FullStop),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.11/0.42 (re.compile("\("), Token.OpenPar),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.11/0.42 (re.compile("\)"), Token.ClosePar),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.11/0.42 (re.compile("\["), Token.OpenSquare),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.11/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.42 (re.compile("~\|"), Token.Nor),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.42 (re.compile("\|"), Token.Or),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.11/0.42 (re.compile("\?"), Token.Existential),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.11/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.11/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.23/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.32/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.58 """
% 235.87/236.23 % Version: 1.5
% 235.87/236.23 % SZS status Unsatisfiable
% 235.87/236.23 % SZS output start CNFRefutation
% See solution above
% 235.87/236.23
% 235.87/236.23 % Initial clauses : 17
% 235.87/236.23 % Processed clauses : 2946
% 235.87/236.23 % Factors computed : 3
% 235.87/236.23 % Resolvents computed: 174868
% 235.87/236.23 % Tautologies deleted: 5
% 235.87/236.23 % Forward subsumed : 11726
% 235.87/236.23 % Backward subsumed : 93
% 235.87/236.23 % -------- CPU Time ---------
% 235.87/236.23 % User time : 235.443 s
% 235.87/236.23 % System time : 0.339 s
% 235.87/236.23 % Total time : 235.782 s
%------------------------------------------------------------------------------