%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL197-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 12:58:02 PM UTC 2026
% Result : Unsatisfiable 236.64s 236.93s
% Output : CNFRefutation 236.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 53 ( 34 unt; 0 nHn; 17 RR)
% Number of literals : 76 ( 18 equ; 24 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 : 119 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(or(q,or(p,q)),or(p,q))),
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(rule_1,axiom,
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(axiom_1_3,axiom,
axiom(implies(X8,or(X9,X8))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c7,plain,
theorem(implies(X12,or(X11,X12))),
inference(resolution,[status(thm)],[axiom_1_3,rule_1]) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X40,X42),implies(or(X41,X40),or(X41,X42)))),
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(X589,X591),or(X589,X590)))
| ~ theorem(implies(X591,X590)) ),
inference(resolution,[status(thm)],[c24,rule_2]) ).
cnf(c780,plain,
theorem(implies(or(X1396,X1394),or(X1396,or(X1395,X1394)))),
inference(resolution,[status(thm)],[c105,c7]) ).
cnf(c2174,plain,
( theorem(or(X1926,or(X1927,X1925)))
| ~ theorem(or(X1926,X1925)) ),
inference(resolution,[status(thm)],[c780,rule_2]) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X18,X19),or(X19,X18))),
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_5,axiom,
axiom(implies(or(X28,or(X30,X29)),or(X30,or(X28,X29)))),
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(X390,or(X389,X391)))
| ~ theorem(or(X389,or(X390,X391))) ),
inference(resolution,[status(thm)],[c18,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(c4,axiom,
( X16 != X17
| ~ theorem(X16)
| theorem(X17) ),
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(c11,plain,
( ~ theorem(implies(X77,X76))
| theorem(or(not(X77),X76)) ),
inference(resolution,[status(thm)],[implies_definition,c4]) ).
cnf(c48,plain,
theorem(or(not(X82),or(X83,X82))),
inference(resolution,[status(thm)],[c11,c7]) ).
cnf(c346,plain,
theorem(or(X393,or(not(X392),X392))),
inference(resolution,[status(thm)],[c72,c48]) ).
cnf(c360,plain,
theorem(or(not(X394),X394)),
inference(resolution,[status(thm)],[c346,c14]) ).
cnf(c366,plain,
theorem(or(X714,or(not(or(X714,X715)),X715))),
inference(resolution,[status(thm)],[c360,c72]) ).
cnf(c1221,plain,
theorem(or(or(not(or(X876,X877)),X877),X876)),
inference(resolution,[status(thm)],[c366,c26]) ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
theory(equality) ).
cnf(c12,plain,
or(not(X46),X45) = implies(X46,X45),
inference(resolution,[status(thm)],[implies_definition,symmetry]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X78 != X80
| X81 != X79
| or(X78,X81) = or(X80,X79) ),
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(X672),X673),X674) = or(implies(X672,X673),X674),
inference(resolution,[status(thm)],[c54,c12]) ).
cnf(c1164,plain,
( ~ theorem(or(or(not(X11529),X11527),X11528))
| theorem(or(implies(X11529,X11527),X11528)) ),
inference(resolution,[status(thm)],[c114,c4]) ).
cnf(c27793,plain,
theorem(or(implies(or(X11606,X11607),X11607),X11606)),
inference(resolution,[status(thm)],[c1164,c1221]) ).
cnf(c28996,plain,
theorem(or(implies(or(X13479,X13481),X13481),or(X13480,X13479))),
inference(resolution,[status(thm)],[c27793,c2174]) ).
cnf(c30,plain,
( ~ theorem(or(not(X107),X108))
| theorem(implies(X107,X108)) ),
inference(resolution,[status(thm)],[c12,c4]) ).
cnf(c55,plain,
theorem(or(or(X86,X85),not(X85))),
inference(resolution,[status(thm)],[c48,c26]) ).
cnf(c27486,plain,
theorem(or(implies(X11533,X11532),not(X11532))),
inference(resolution,[status(thm)],[c1164,c55]) ).
cnf(c27849,plain,
theorem(or(not(X11538),implies(X11539,X11538))),
inference(resolution,[status(thm)],[c27486,c26]) ).
cnf(c27899,plain,
theorem(implies(X11548,implies(X11547,X11548))),
inference(resolution,[status(thm)],[c27849,c30]) ).
cnf(c27946,plain,
theorem(implies(or(X13324,X13322),or(X13324,implies(X13323,X13322)))),
inference(resolution,[status(thm)],[c27899,c105]) ).
cnf(c765,plain,
theorem(implies(or(X1390,or(X1389,X1389)),or(X1390,X1389))),
inference(resolution,[status(thm)],[c105,c6]) ).
cnf(c0,axiom,
( X64 != X66
| X67 != X65
| implies(X64,X67) = implies(X66,X65) ),
theory(equality) ).
cnf(c42,plain,
( X236 != X237
| implies(X236,or(not(X235),X238)) = implies(X237,implies(X235,X238)) ),
inference(resolution,[status(thm)],[c0,c12]) ).
cnf(c187,plain,
implies(or(not(X1248),X1251),or(not(X1250),X1249)) = implies(implies(X1248,X1251),implies(X1250,X1249)),
inference(resolution,[status(thm)],[c42,c12]) ).
cnf(c1860,plain,
( ~ theorem(implies(or(not(X21184),X21186),or(not(X21187),X21185)))
| theorem(implies(implies(X21184,X21186),implies(X21187,X21185))) ),
inference(resolution,[status(thm)],[c187,c4]) ).
cnf(c69758,plain,
theorem(implies(implies(X21497,or(X21496,X21496)),implies(X21497,X21496))),
inference(resolution,[status(thm)],[c1860,c765]) ).
cnf(c70929,plain,
( theorem(implies(X21556,X21557))
| ~ theorem(implies(X21556,or(X21557,X21557))) ),
inference(resolution,[status(thm)],[c69758,rule_2]) ).
cnf(c71531,plain,
theorem(implies(or(implies(X24427,X24428),X24428),implies(X24427,X24428))),
inference(resolution,[status(thm)],[c70929,c27946]) ).
cnf(c84450,plain,
( theorem(implies(X26757,X26758))
| ~ theorem(or(implies(X26757,X26758),X26758)) ),
inference(resolution,[status(thm)],[c71531,rule_2]) ).
cnf(c97745,plain,
theorem(implies(or(X29769,or(X29768,X29769)),or(X29768,X29769))),
inference(resolution,[status(thm)],[c84450,c28996]) ).
cnf(c131028,plain,
$false,
inference(resolution,[status(thm)],[c97745,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL197-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.34 % Computer : n006.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 5 13:34:46 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.12/0.40 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.40 (re.compile("\."), Token.FullStop),
% 0.12/0.40 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.40 (re.compile("\("), Token.OpenPar),
% 0.12/0.40 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.40 (re.compile("\)"), Token.ClosePar),
% 0.12/0.40 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.40 (re.compile("\["), Token.OpenSquare),
% 0.12/0.40 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.40 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.40 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.40 (re.compile("~\|"), Token.Nor),
% 0.12/0.40 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.40 (re.compile("\|"), Token.Or),
% 0.12/0.40 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.40 (re.compile("\?"), Token.Existential),
% 0.12/0.40 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.40 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.40 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.40 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.12/0.47 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.47 """
% 0.12/0.47 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.47 """
% 0.24/0.56 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.56 """
% 236.64/236.93 % Version: 1.5
% 236.64/236.93 % SZS status Unsatisfiable
% 236.64/236.93 % SZS output start CNFRefutation
% See solution above
% 236.64/236.93
% 236.64/236.93 % Initial clauses : 17
% 236.64/236.93 % Processed clauses : 2446
% 236.64/236.93 % Factors computed : 3
% 236.64/236.93 % Resolvents computed: 131029
% 236.64/236.93 % Tautologies deleted: 5
% 236.64/236.93 % Forward subsumed : 8746
% 236.64/236.93 % Backward subsumed : 74
% 236.64/236.93 % -------- CPU Time ---------
% 236.64/236.93 % User time : 236.187 s
% 236.64/236.93 % System time : 0.378 s
% 236.64/236.93 % Total time : 236.565 s
%------------------------------------------------------------------------------