%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL180-3 : 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 12:57:59 PM UTC 2026
% Result : Unsatisfiable 3.65s 3.97s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 34 ( 23 unt; 0 nHn; 12 RR)
% Number of literals : 47 ( 5 equ; 14 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 : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 60 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(not(not(p)),p)),
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(c12,plain,
or(not(X45),X46) = implies(X45,X46),
inference(resolution,[status(thm)],[implies_definition,symmetry]) ).
cnf(c28,plain,
( ~ theorem(or(not(X103),X102))
| theorem(implies(X103,X102)) ),
inference(resolution,[status(thm)],[c12,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_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(c25,plain,
( theorem(or(X59,X60))
| ~ theorem(or(X60,X59)) ),
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(X8,or(X9,X8))),
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(X80,X81))
| theorem(or(not(X80),X81)) ),
inference(resolution,[status(thm)],[implies_definition,c4]) ).
cnf(c53,plain,
theorem(or(not(X83),or(X82,X83))),
inference(resolution,[status(thm)],[c11,c7]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X28,or(X29,X30)),or(X29,or(X28,X30)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c18,plain,
theorem(implies(or(X99,or(X100,X101)),or(X100,or(X99,X101)))),
inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).
cnf(c71,plain,
( theorem(or(X354,or(X355,X353)))
| ~ theorem(or(X355,or(X354,X353))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(c281,plain,
theorem(or(X356,or(not(X357),X357))),
inference(resolution,[status(thm)],[c71,c53]) ).
cnf(c285,plain,
theorem(or(not(X358),X358)),
inference(resolution,[status(thm)],[c281,c14]) ).
cnf(c292,plain,
theorem(or(X361,not(X361))),
inference(resolution,[status(thm)],[c285,c25]) ).
cnf(c297,plain,
theorem(implies(X382,not(not(X382)))),
inference(resolution,[status(thm)],[c292,c28]) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X39,X40),implies(or(X41,X39),or(X41,X40)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(c24,plain,
theorem(implies(implies(X138,X139),implies(or(X137,X138),or(X137,X139)))),
inference(resolution,[status(thm)],[axiom_1_6,rule_1]) ).
cnf(c104,plain,
( theorem(implies(or(X555,X554),or(X555,X556)))
| ~ theorem(implies(X554,X556)) ),
inference(resolution,[status(thm)],[c24,rule_2]) ).
cnf(c655,plain,
theorem(implies(or(X2570,X2571),or(X2570,not(not(X2571))))),
inference(resolution,[status(thm)],[c104,c297]) ).
cnf(c3371,plain,
( theorem(or(X2876,not(not(X2877))))
| ~ theorem(or(X2876,X2877)) ),
inference(resolution,[status(thm)],[c655,rule_2]) ).
cnf(c3954,plain,
theorem(or(X2882,not(not(not(X2882))))),
inference(resolution,[status(thm)],[c3371,c292]) ).
cnf(c3978,plain,
theorem(or(not(not(not(X2883))),X2883)),
inference(resolution,[status(thm)],[c3954,c25]) ).
cnf(c3982,plain,
theorem(implies(not(not(X2884)),X2884)),
inference(resolution,[status(thm)],[c3978,c28]) ).
cnf(c3994,plain,
$false,
inference(resolution,[status(thm)],[c3982,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL180-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 09:28:08 UTC 2026
% 0.08/0.36 % 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 '\|'
% 0.12/0.42 (re.compile("~\|"), Token.Nor),
% 0.12/0.42 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.42 (re.compile("\|"), Token.Or),
% 0.12/0.42 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.42 (re.compile("\?"), Token.Existential),
% 0.12/0.42 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.23/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.23/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.58 """
% 3.65/3.97 % Version: 1.5
% 3.65/3.97 % SZS status Unsatisfiable
% 3.65/3.97 % SZS output start CNFRefutation
% See solution above
% 3.65/3.97
% 3.65/3.97 % Initial clauses : 17
% 3.65/3.97 % Processed clauses : 442
% 3.65/3.97 % Factors computed : 3
% 3.65/3.97 % Resolvents computed: 3993
% 3.65/3.97 % Tautologies deleted: 5
% 3.65/3.97 % Forward subsumed : 601
% 3.65/3.97 % Backward subsumed : 4
% 3.65/3.97 % -------- CPU Time ---------
% 3.65/3.97 % User time : 3.590 s
% 3.65/3.97 % System time : 0.024 s
% 3.65/3.97 % Total time : 3.614 s
%------------------------------------------------------------------------------