%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL178-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n001.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 0.46s 0.72s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 17 unt; 0 nHn; 11 RR)
% Number of literals : 37 ( 5 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 44 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(p,not(not(p)))),
file('/export/starexec/sandbox/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/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(c28,plain,
( ~ theorem(or(not(X103),X102))
| theorem(implies(X103,X102)) ),
inference(resolution,[status(thm)],[c13,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(X43,X44),or(X44,X43))),
inference(resolution,[status(thm)],[axiom_1_4,rule_1]) ).
cnf(c26,plain,
( theorem(or(X60,X59))
| ~ theorem(or(X59,X60)) ),
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(X12,or(X11,X12))),
inference(resolution,[status(thm)],[axiom_1_3,rule_1]) ).
cnf(c11,plain,
( ~ theorem(implies(X81,X80))
| theorem(or(not(X81),X80)) ),
inference(resolution,[status(thm)],[implies_definition,c4]) ).
cnf(c54,plain,
theorem(or(not(X83),or(X84,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(X101,or(X100,X99)),or(X100,or(X101,X99)))),
inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).
cnf(c70,plain,
( theorem(or(X336,or(X335,X337)))
| ~ theorem(or(X335,or(X336,X337))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(c267,plain,
theorem(or(X339,or(not(X338),X338))),
inference(resolution,[status(thm)],[c70,c54]) ).
cnf(c270,plain,
theorem(or(not(X340),X340)),
inference(resolution,[status(thm)],[c267,c14]) ).
cnf(c277,plain,
theorem(or(X343,not(X343))),
inference(resolution,[status(thm)],[c270,c26]) ).
cnf(c283,plain,
theorem(implies(X365,not(not(X365)))),
inference(resolution,[status(thm)],[c277,c28]) ).
cnf(c304,plain,
$false,
inference(resolution,[status(thm)],[c283,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL178-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.35 % Computer : n001.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sat Sep 5 01:11:45 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.42 (re.compile("\."), Token.FullStop),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.42 (re.compile("\("), Token.OpenPar),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.42 (re.compile("\)"), Token.ClosePar),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.42 (re.compile("\["), Token.OpenSquare),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("~\|"), Token.Nor),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("\|"), Token.Or),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.42 (re.compile("\?"), Token.Existential),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.42 (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 """
% 0.32/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.58 """
% 0.46/0.72 % Version: 1.5
% 0.46/0.72 % SZS status Unsatisfiable
% 0.46/0.72 % SZS output start CNFRefutation
% See solution above
% 0.46/0.72
% 0.46/0.72 % Initial clauses : 17
% 0.46/0.72 % Processed clauses : 98
% 0.46/0.72 % Factors computed : 3
% 0.46/0.72 % Resolvents computed: 302
% 0.46/0.72 % Tautologies deleted: 5
% 0.46/0.72 % Forward subsumed : 65
% 0.46/0.72 % Backward subsumed : 0
% 0.46/0.72 % -------- CPU Time ---------
% 0.46/0.72 % User time : 0.336 s
% 0.46/0.72 % System time : 0.026 s
% 0.46/0.72 % Total time : 0.362 s
%------------------------------------------------------------------------------