%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL210-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 125.55s 125.84s
% Output : CNFRefutation 125.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 49 ( 30 unt; 0 nHn; 18 RR)
% Number of literals : 73 ( 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 : 103 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(not(p),implies(or(p,q),q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_2,axiom,
( theorem(X24)
| ~ theorem(implies(X23,X24))
| ~ theorem(X23) ),
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,
( X5 != X4
| X4 = X5 ),
theory(equality) ).
cnf(implies_definition,axiom,
implies(X22,X21) = or(not(X22),X21),
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(c29,plain,
( ~ theorem(or(not(X108),X107))
| theorem(implies(X108,X107)) ),
inference(resolution,[status(thm)],[c13,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(X44,X43),or(X43,X44))),
inference(resolution,[status(thm)],[axiom_1_4,rule_1]) ).
cnf(c25,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(c3,axiom,
( X14 != X13
| ~ axiom(X14)
| axiom(X13) ),
theory(equality) ).
cnf(c11,plain,
( ~ axiom(implies(X77,X76))
| axiom(or(not(X77),X76)) ),
inference(resolution,[status(thm)],[implies_definition,c3]) ).
cnf(c49,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)],[c49,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(c70,plain,
( theorem(or(X352,or(X353,X351)))
| ~ theorem(or(X353,or(X352,X351))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(c309,plain,
theorem(or(X354,or(not(X355),X355))),
inference(resolution,[status(thm)],[c70,c57]) ).
cnf(c333,plain,
theorem(or(not(X356),X356)),
inference(resolution,[status(thm)],[c309,c14]) ).
cnf(c335,plain,
theorem(or(X359,not(X359))),
inference(resolution,[status(thm)],[c333,c25]) ).
cnf(c345,plain,
theorem(implies(X381,not(not(X381)))),
inference(resolution,[status(thm)],[c335,c29]) ).
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(X138,X137),implies(or(X139,X138),or(X139,X137)))),
inference(resolution,[status(thm)],[axiom_1_6,rule_1]) ).
cnf(c103,plain,
( theorem(implies(or(X551,X552),or(X551,X553)))
| ~ theorem(implies(X552,X553)) ),
inference(resolution,[status(thm)],[c24,rule_2]) ).
cnf(c737,plain,
theorem(implies(or(X2543,X2542),or(X2543,not(not(X2542))))),
inference(resolution,[status(thm)],[c103,c345]) ).
cnf(c3401,plain,
( theorem(or(X2839,not(not(X2840))))
| ~ theorem(or(X2839,X2840)) ),
inference(resolution,[status(thm)],[c737,rule_2]) ).
cnf(c334,plain,
theorem(or(X677,or(not(or(X677,X676)),X676))),
inference(resolution,[status(thm)],[c333,c70]) ).
cnf(c1167,plain,
theorem(or(or(not(or(X838,X839)),X839),X838)),
inference(resolution,[status(thm)],[c334,c25]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X80 != X78
| X81 != X79
| or(X80,X81) = or(X78,X79) ),
theory(equality) ).
cnf(c54,plain,
( X147 != X149
| or(X147,X148) = or(X149,X148) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(c114,plain,
or(or(not(X653),X652),X654) = or(implies(X653,X652),X654),
inference(resolution,[status(thm)],[c54,c13]) ).
cnf(c1120,plain,
( ~ theorem(or(or(not(X10950),X10952),X10951))
| theorem(or(implies(X10950,X10952),X10951)) ),
inference(resolution,[status(thm)],[c114,c4]) ).
cnf(c26730,plain,
theorem(or(implies(or(X11029,X11030),X11030),X11029)),
inference(resolution,[status(thm)],[c1120,c1167]) ).
cnf(c27851,plain,
theorem(or(implies(or(X19743,X19742),X19742),not(not(X19743)))),
inference(resolution,[status(thm)],[c26730,c3401]) ).
cnf(c0,axiom,
( X66 != X64
| X67 != X65
| implies(X66,X67) = implies(X64,X65) ),
theory(equality) ).
cnf(c43,plain,
( X238 != X235
| implies(X238,or(not(X237),X236)) = implies(X235,implies(X237,X236)) ),
inference(resolution,[status(thm)],[c0,c13]) ).
cnf(c183,plain,
implies(X1191,or(not(X1190),X1189)) = implies(X1191,implies(X1190,X1189)),
inference(resolution,[status(thm)],[c43,reflexivity]) ).
cnf(c1813,plain,
( ~ axiom(implies(X20376,or(not(X20375),X20377)))
| axiom(implies(X20376,implies(X20375,X20377))) ),
inference(resolution,[status(thm)],[c183,c3]) ).
cnf(c66021,plain,
axiom(implies(or(X20394,not(X20393)),implies(X20393,X20394))),
inference(resolution,[status(thm)],[c1813,axiom_1_4]) ).
cnf(c66096,plain,
theorem(implies(or(X20395,not(X20396)),implies(X20396,X20395))),
inference(resolution,[status(thm)],[c66021,rule_1]) ).
cnf(c66107,plain,
( theorem(implies(X20406,X20405))
| ~ theorem(or(X20405,not(X20406))) ),
inference(resolution,[status(thm)],[c66096,rule_2]) ).
cnf(c66362,plain,
theorem(implies(not(X20672),implies(or(X20672,X20673),X20673))),
inference(resolution,[status(thm)],[c66107,c27851]) ).
cnf(c68220,plain,
$false,
inference(resolution,[status(thm)],[c66362,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL210-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.34 % Computer : n007.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 21:10:39 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.41 (re.compile("\."), Token.FullStop),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.41 (re.compile("\("), Token.OpenPar),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.41 (re.compile("\)"), Token.ClosePar),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.41 (re.compile("\["), Token.OpenSquare),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("~\|"), Token.Nor),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("\|"), Token.Or),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.41 (re.compile("\?"), Token.Existential),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.41 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.48 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.22/0.48 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.32/0.57 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.57 """
% 125.55/125.84 % Version: 1.5
% 125.55/125.84 % SZS status Unsatisfiable
% 125.55/125.84 % SZS output start CNFRefutation
% See solution above
% 125.55/125.84
% 125.55/125.84 % Initial clauses : 17
% 125.55/125.84 % Processed clauses : 1859
% 125.55/125.84 % Factors computed : 3
% 125.55/125.84 % Resolvents computed: 68221
% 125.55/125.84 % Tautologies deleted: 5
% 125.55/125.84 % Forward subsumed : 5982
% 125.55/125.84 % Backward subsumed : 17
% 125.55/125.84 % -------- CPU Time ---------
% 125.55/125.84 % User time : 125.253 s
% 125.55/125.84 % System time : 0.228 s
% 125.55/125.84 % Total time : 125.481 s
%------------------------------------------------------------------------------