%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL209-3 : 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 12:58:04 PM UTC 2026
% Result : Unsatisfiable 29.46s 29.73s
% Output : CNFRefutation 29.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of clauses : 52 ( 35 unt; 0 nHn; 17 RR)
% Number of literals : 73 ( 13 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 99 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(implies(not(p),q),or(p,q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c4,axiom,
( X16 != X17
| ~ theorem(X16)
| theorem(X17) ),
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(c13,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)],[c13,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_5,axiom,
axiom(implies(or(X30,or(X29,X28)),or(X29,or(X30,X28)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c18,plain,
theorem(implies(or(X100,or(X99,X101)),or(X99,or(X100,X101)))),
inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).
cnf(c72,plain,
( theorem(or(X391,or(X393,X392)))
| ~ theorem(or(X393,or(X391,X392))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
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(c25,plain,
( theorem(or(X56,X55))
| ~ theorem(or(X55,X56)) ),
inference(resolution,[status(thm)],[c10,rule_2]) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X42,X41),implies(or(X40,X42),or(X40,X41)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(c24,plain,
theorem(implies(implies(X139,X137),implies(or(X138,X139),or(X138,X137)))),
inference(resolution,[status(thm)],[axiom_1_6,rule_1]) ).
cnf(c105,plain,
( theorem(implies(or(X591,X593),or(X591,X592)))
| ~ theorem(implies(X593,X592)) ),
inference(resolution,[status(thm)],[c24,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(c15,plain,
( theorem(X27)
| ~ theorem(or(X27,X27)) ),
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(c3,axiom,
( X13 != X14
| ~ axiom(X13)
| axiom(X14) ),
theory(equality) ).
cnf(c11,plain,
( ~ axiom(implies(X77,X76))
| axiom(or(not(X77),X76)) ),
inference(resolution,[status(thm)],[implies_definition,c3]) ).
cnf(c51,plain,
axiom(or(not(X82),or(X83,X82))),
inference(resolution,[status(thm)],[c11,axiom_1_3]) ).
cnf(c57,plain,
theorem(or(not(X85),or(X86,X85))),
inference(resolution,[status(thm)],[c51,rule_1]) ).
cnf(c350,plain,
theorem(or(X394,or(not(X395),X395))),
inference(resolution,[status(thm)],[c72,c57]) ).
cnf(c359,plain,
theorem(or(not(X396),X396)),
inference(resolution,[status(thm)],[c350,c15]) ).
cnf(c363,plain,
theorem(or(X399,not(X399))),
inference(resolution,[status(thm)],[c359,c25]) ).
cnf(c374,plain,
theorem(implies(X420,not(not(X420)))),
inference(resolution,[status(thm)],[c363,c27]) ).
cnf(c756,plain,
theorem(implies(or(X2548,X2547),or(X2548,not(not(X2547))))),
inference(resolution,[status(thm)],[c105,c374]) ).
cnf(c3403,plain,
( theorem(or(X2841,not(not(X2842))))
| ~ theorem(or(X2841,X2842)) ),
inference(resolution,[status(thm)],[c756,rule_2]) ).
cnf(c3908,plain,
theorem(or(X2844,not(not(not(X2844))))),
inference(resolution,[status(thm)],[c3403,c363]) ).
cnf(c4010,plain,
theorem(or(not(not(not(X2845))),X2845)),
inference(resolution,[status(thm)],[c3908,c25]) ).
cnf(c4022,plain,
theorem(implies(not(not(X2846)),X2846)),
inference(resolution,[status(thm)],[c4010,c27]) ).
cnf(c4030,plain,
theorem(implies(or(X4139,not(not(X4140))),or(X4139,X4140))),
inference(resolution,[status(thm)],[c4022,c105]) ).
cnf(c7974,plain,
( theorem(or(X5070,X5071))
| ~ theorem(or(X5070,not(not(X5071)))) ),
inference(resolution,[status(thm)],[c4030,rule_2]) ).
cnf(c12,plain,
( ~ theorem(implies(X91,X90))
| theorem(or(not(X91),X90)) ),
inference(resolution,[status(thm)],[implies_definition,c4]) ).
cnf(c365,plain,
theorem(implies(X397,X397)),
inference(resolution,[status(thm)],[c359,c27]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c0,axiom,
( X62 != X64
| X65 != X63
| implies(X62,X65) = implies(X64,X63) ),
theory(equality) ).
cnf(c44,plain,
( X133 != X132
| implies(X133,X134) = implies(X132,X134) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c101,plain,
implies(or(not(X555),X556),X557) = implies(implies(X555,X556),X557),
inference(resolution,[status(thm)],[c44,c13]) ).
cnf(c694,plain,
( ~ theorem(implies(or(not(X6293),X6292),X6291))
| theorem(implies(implies(X6293,X6292),X6291)) ),
inference(resolution,[status(thm)],[c101,c4]) ).
cnf(c13521,plain,
theorem(implies(implies(X6530,X6531),or(not(X6530),X6531))),
inference(resolution,[status(thm)],[c694,c365]) ).
cnf(c13995,plain,
theorem(or(not(implies(X6853,X6852)),or(not(X6853),X6852))),
inference(resolution,[status(thm)],[c13521,c12]) ).
cnf(c15075,plain,
theorem(or(not(X6978),or(not(implies(X6978,X6979)),X6979))),
inference(resolution,[status(thm)],[c13995,c72]) ).
cnf(c15415,plain,
theorem(or(or(not(implies(X7091,X7090)),X7090),not(X7091))),
inference(resolution,[status(thm)],[c15075,c25]) ).
cnf(c16913,plain,
theorem(or(or(not(implies(not(X7827),X7828)),X7828),X7827)),
inference(resolution,[status(thm)],[c15415,c7974]) ).
cnf(c18397,plain,
theorem(or(X8017,or(not(implies(not(X8017),X8018)),X8018))),
inference(resolution,[status(thm)],[c16913,c25]) ).
cnf(c18770,plain,
theorem(or(not(implies(not(X8968),X8969)),or(X8968,X8969))),
inference(resolution,[status(thm)],[c18397,c72]) ).
cnf(c21321,plain,
theorem(implies(implies(not(X9450),X9451),or(X9450,X9451))),
inference(resolution,[status(thm)],[c18770,c27]) ).
cnf(c22600,plain,
$false,
inference(resolution,[status(thm)],[c21321,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL209-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 4 16:30:51 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.43 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.43 (re.compile("\."), Token.FullStop),
% 0.12/0.43 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.43 (re.compile("\("), Token.OpenPar),
% 0.12/0.43 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.43 (re.compile("\)"), Token.ClosePar),
% 0.12/0.43 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.43 (re.compile("\["), Token.OpenSquare),
% 0.12/0.43 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.43 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.43 (re.compile("~\|"), Token.Nor),
% 0.12/0.43 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.43 (re.compile("\|"), Token.Or),
% 0.12/0.43 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.43 (re.compile("\?"), Token.Existential),
% 0.12/0.43 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.43 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.50 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.50 """
% 0.23/0.50 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.50 """
% 0.33/0.59 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.59 """
% 29.46/29.73 % Version: 1.5
% 29.46/29.73 % SZS status Unsatisfiable
% 29.46/29.73 % SZS output start CNFRefutation
% See solution above
% 29.46/29.73
% 29.46/29.73 % Initial clauses : 17
% 29.46/29.73 % Processed clauses : 1061
% 29.46/29.73 % Factors computed : 3
% 29.46/29.73 % Resolvents computed: 22601
% 29.46/29.73 % Tautologies deleted: 5
% 29.46/29.73 % Forward subsumed : 2729
% 29.46/29.73 % Backward subsumed : 7
% 29.46/29.73 % -------- CPU Time ---------
% 29.46/29.73 % User time : 29.265 s
% 29.46/29.73 % System time : 0.090 s
% 29.46/29.73 % Total time : 29.355 s
%------------------------------------------------------------------------------