%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL258-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 12:58:11 PM UTC 2026
% Result : Unsatisfiable 16.95s 17.23s
% Output : CNFRefutation 16.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of clauses : 41 ( 26 unt; 0 nHn; 15 RR)
% Number of literals : 60 ( 18 equ; 20 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 : 84 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(p,implies(implies(p,q),q))),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c11,plain,
or(not(X46),X45) = implies(X46,X45),
inference(resolution,[status(thm)],[implies_definition,symmetry]) ).
cnf(c31,plain,
( ~ theorem(or(not(X108),X107))
| theorem(implies(X108,X107)) ),
inference(resolution,[status(thm)],[c11,c4]) ).
cnf(rule_2,axiom,
( theorem(X23)
| ~ theorem(implies(X24,X23))
| ~ theorem(X24) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(rule_1,axiom,
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X18,X19),or(X19,X18))),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c18,plain,
theorem(implies(or(X101,or(X100,X99)),or(X100,or(X101,X99)))),
inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).
cnf(c70,plain,
( theorem(or(X351,or(X353,X352)))
| ~ theorem(or(X353,or(X351,X352))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(c12,plain,
( ~ theorem(implies(X77,X76))
| theorem(or(not(X77),X76)) ),
inference(resolution,[status(thm)],[implies_definition,c4]) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X7,X7),X7)),
file('/export/starexec/sandbox2/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(X8,or(X9,X8))),
file('/export/starexec/sandbox2/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(c50,plain,
theorem(or(not(X83),or(X84,X83))),
inference(resolution,[status(thm)],[c12,c7]) ).
cnf(c318,plain,
theorem(or(X355,or(not(X354),X354))),
inference(resolution,[status(thm)],[c70,c50]) ).
cnf(c329,plain,
theorem(or(not(X356),X356)),
inference(resolution,[status(thm)],[c318,c14]) ).
cnf(c335,plain,
theorem(implies(X357,X357)),
inference(resolution,[status(thm)],[c329,c31]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c0,axiom,
( X64 != X62
| X65 != X63
| implies(X64,X65) = implies(X62,X63) ),
theory(equality) ).
cnf(c44,plain,
( X132 != X133
| implies(X132,X134) = implies(X133,X134) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c101,plain,
implies(or(not(X541),X540),X542) = implies(implies(X541,X540),X542),
inference(resolution,[status(thm)],[c44,c11]) ).
cnf(c693,plain,
( ~ theorem(implies(or(not(X6125),X6123),X6124))
| theorem(implies(implies(X6125,X6123),X6124)) ),
inference(resolution,[status(thm)],[c101,c4]) ).
cnf(c13019,plain,
theorem(implies(implies(X6365,X6366),or(not(X6365),X6366))),
inference(resolution,[status(thm)],[c693,c335]) ).
cnf(c13704,plain,
theorem(or(not(implies(X6771,X6772)),or(not(X6771),X6772))),
inference(resolution,[status(thm)],[c13019,c12]) ).
cnf(c15269,plain,
theorem(or(not(X7058),or(not(implies(X7058,X7059)),X7059))),
inference(resolution,[status(thm)],[c13704,c70]) ).
cnf(c15893,plain,
theorem(or(or(not(implies(X7225,X7226)),X7226),not(X7225))),
inference(resolution,[status(thm)],[c15269,c26]) ).
cnf(c1,axiom,
( X80 != X78
| X81 != X79
| or(X80,X81) = or(X78,X79) ),
theory(equality) ).
cnf(c54,plain,
( X148 != X147
| or(X148,X149) = or(X147,X149) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(c115,plain,
or(or(not(X681),X679),X680) = or(implies(X681,X679),X680),
inference(resolution,[status(thm)],[c54,c11]) ).
cnf(c1178,plain,
( ~ theorem(or(or(not(X11315),X11313),X11314))
| theorem(or(implies(X11315,X11313),X11314)) ),
inference(resolution,[status(thm)],[c115,c4]) ).
cnf(c28612,plain,
theorem(or(implies(implies(X11593,X11594),X11594),not(X11593))),
inference(resolution,[status(thm)],[c1178,c15893]) ).
cnf(c31541,plain,
theorem(or(not(X12040),implies(implies(X12040,X12041),X12041))),
inference(resolution,[status(thm)],[c28612,c26]) ).
cnf(c34911,plain,
theorem(implies(X12046,implies(implies(X12046,X12045),X12045))),
inference(resolution,[status(thm)],[c31541,c31]) ).
cnf(c34972,plain,
$false,
inference(resolution,[status(thm)],[c34911,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL258-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 19:57:44 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.38 (re.compile("\."), Token.FullStop),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.38 (re.compile("\("), Token.OpenPar),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.38 (re.compile("\)"), Token.ClosePar),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.38 (re.compile("\["), Token.OpenSquare),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.38 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.38 (re.compile("~\|"), Token.Nor),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.38 (re.compile("\|"), Token.Or),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.38 (re.compile("\?"), Token.Existential),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.38 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.38 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.41 """
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.41 """
% 0.12/0.45 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.45 """
% 16.95/17.23 % Version: 1.5
% 16.95/17.23 % SZS status Unsatisfiable
% 16.95/17.23 % SZS output start CNFRefutation
% See solution above
% 16.95/17.23
% 16.95/17.23 % Initial clauses : 17
% 16.95/17.23 % Processed clauses : 1271
% 16.95/17.23 % Factors computed : 3
% 16.95/17.23 % Resolvents computed: 34975
% 16.95/17.23 % Tautologies deleted: 5
% 16.95/17.23 % Forward subsumed : 3483
% 16.95/17.23 % Backward subsumed : 9
% 16.95/17.23 % -------- CPU Time ---------
% 16.95/17.23 % User time : 16.829 s
% 16.95/17.23 % System time : 0.048 s
% 16.95/17.23 % Total time : 16.877 s
%------------------------------------------------------------------------------