%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL211-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 118.64s 118.90s
% Output : CNFRefutation 118.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of clauses : 50 ( 31 unt; 0 nHn; 18 RR)
% Number of literals : 74 ( 19 equ; 25 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 : 105 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(not(q),implies(or(p,q),p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_2,axiom,
( theorem(X23)
| ~ theorem(implies(X24,X23))
| ~ theorem(X24) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
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(X45),X46) = implies(X45,X46),
inference(resolution,[status(thm)],[implies_definition,symmetry]) ).
cnf(c31,plain,
( ~ theorem(or(not(X108),X107))
| theorem(implies(X108,X107)) ),
inference(resolution,[status(thm)],[c12,c4]) ).
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(X43,X44),or(X44,X43))),
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_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(X76,X77))
| theorem(or(not(X76),X77)) ),
inference(resolution,[status(thm)],[implies_definition,c4]) ).
cnf(c50,plain,
theorem(or(not(X83),or(X84,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(X391,or(X389,X390)))
| ~ theorem(or(X389,or(X391,X390))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(c348,plain,
theorem(or(X392,or(not(X393),X393))),
inference(resolution,[status(thm)],[c72,c50]) ).
cnf(c358,plain,
theorem(or(not(X394),X394)),
inference(resolution,[status(thm)],[c348,c14]) ).
cnf(c362,plain,
theorem(or(X397,not(X397))),
inference(resolution,[status(thm)],[c358,c25]) ).
cnf(c372,plain,
theorem(implies(X417,not(not(X417)))),
inference(resolution,[status(thm)],[c362,c31]) ).
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(X137,X138),implies(or(X139,X137),or(X139,X138)))),
inference(resolution,[status(thm)],[axiom_1_6,rule_1]) ).
cnf(c105,plain,
( theorem(implies(or(X589,X590),or(X589,X591)))
| ~ theorem(implies(X590,X591)) ),
inference(resolution,[status(thm)],[c24,rule_2]) ).
cnf(c754,plain,
theorem(implies(or(X2543,X2542),or(X2543,not(not(X2542))))),
inference(resolution,[status(thm)],[c105,c372]) ).
cnf(c3404,plain,
( theorem(or(X2841,not(not(X2840))))
| ~ theorem(or(X2841,X2840)) ),
inference(resolution,[status(thm)],[c754,rule_2]) ).
cnf(c49,plain,
theorem(or(not(or(X140,X141)),or(X141,X140))),
inference(resolution,[status(thm)],[c11,c10]) ).
cnf(c352,plain,
theorem(or(X707,or(not(or(X708,X707)),X708))),
inference(resolution,[status(thm)],[c72,c49]) ).
cnf(c1200,plain,
theorem(or(or(not(or(X852,X851)),X852),X851)),
inference(resolution,[status(thm)],[c352,c25]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X80 != X79
| X81 != X78
| or(X80,X81) = or(X79,X78) ),
theory(equality) ).
cnf(c54,plain,
( X147 != X149
| or(X147,X148) = or(X149,X148) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(c113,plain,
or(or(not(X656),X655),X657) = or(implies(X656,X655),X657),
inference(resolution,[status(thm)],[c54,c12]) ).
cnf(c1022,plain,
( ~ theorem(or(or(not(X9430),X9431),X9432))
| theorem(or(implies(X9430,X9431),X9432)) ),
inference(resolution,[status(thm)],[c113,c4]) ).
cnf(c23273,plain,
theorem(or(implies(or(X9498,X9497),X9498),X9497)),
inference(resolution,[status(thm)],[c1022,c1200]) ).
cnf(c24711,plain,
theorem(or(implies(or(X18022,X18023),X18022),not(not(X18023)))),
inference(resolution,[status(thm)],[c23273,c3404]) ).
cnf(c3,axiom,
( X14 != X13
| ~ axiom(X14)
| axiom(X13) ),
theory(equality) ).
cnf(c0,axiom,
( X66 != X65
| X67 != X64
| implies(X66,X67) = implies(X65,X64) ),
theory(equality) ).
cnf(c42,plain,
( X234 != X233
| implies(X234,or(not(X235),X232)) = implies(X233,implies(X235,X232)) ),
inference(resolution,[status(thm)],[c0,c12]) ).
cnf(c185,plain,
implies(X1205,or(not(X1204),X1203)) = implies(X1205,implies(X1204,X1203)),
inference(resolution,[status(thm)],[c42,reflexivity]) ).
cnf(c1815,plain,
( ~ axiom(implies(X20368,or(not(X20369),X20370)))
| axiom(implies(X20368,implies(X20369,X20370))) ),
inference(resolution,[status(thm)],[c185,c3]) ).
cnf(c65254,plain,
axiom(implies(or(X20384,not(X20385)),implies(X20385,X20384))),
inference(resolution,[status(thm)],[c1815,axiom_1_4]) ).
cnf(c65266,plain,
theorem(implies(or(X20387,not(X20386)),implies(X20386,X20387))),
inference(resolution,[status(thm)],[c65254,rule_1]) ).
cnf(c65288,plain,
( theorem(implies(X20397,X20398))
| ~ theorem(or(X20398,not(X20397))) ),
inference(resolution,[status(thm)],[c65266,rule_2]) ).
cnf(c65486,plain,
theorem(implies(not(X20584),implies(or(X20583,X20584),X20583))),
inference(resolution,[status(thm)],[c65288,c24711]) ).
cnf(c66525,plain,
$false,
inference(resolution,[status(thm)],[c65486,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL211-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.36 % Computer : n019.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 21:47:53 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),
% 0.22/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.22/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.32/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.58 """
% 118.64/118.90 % Version: 1.5
% 118.64/118.90 % SZS status Unsatisfiable
% 118.64/118.90 % SZS output start CNFRefutation
% See solution above
% 118.64/118.90
% 118.64/118.90 % Initial clauses : 17
% 118.64/118.90 % Processed clauses : 1866
% 118.64/118.90 % Factors computed : 3
% 118.64/118.90 % Resolvents computed: 66529
% 118.64/118.90 % Tautologies deleted: 5
% 118.64/118.90 % Forward subsumed : 5978
% 118.64/118.90 % Backward subsumed : 35
% 118.64/118.91 % -------- CPU Time ---------
% 118.64/118.91 % User time : 118.288 s
% 118.64/118.91 % System time : 0.248 s
% 118.64/118.91 % Total time : 118.536 s
%------------------------------------------------------------------------------