%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL176-3 : 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 12:57:58 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.51s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 14 unt; 0 nHn; 10 RR)
% Number of literals : 32 ( 5 equ; 11 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 : 37 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(p,p)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c4,axiom,
( X19 != X18
| ~ theorem(X19)
| theorem(X18) ),
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/sandbox2/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(c31,plain,
( ~ theorem(or(not(X108),X107))
| theorem(implies(X108,X107)) ),
inference(resolution,[status(thm)],[c12,c4]) ).
cnf(rule_1,axiom,
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
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(rule_2,axiom,
( theorem(X24)
| ~ theorem(implies(X23,X24))
| ~ theorem(X23) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(c15,plain,
( theorem(X30)
| ~ theorem(or(X30,X30)) ),
inference(resolution,[status(thm)],[rule_2,c6]) ).
cnf(axiom_1_3,axiom,
axiom(implies(X9,or(X8,X9))),
file('/export/starexec/sandbox2/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(c54,plain,
theorem(or(not(X83),or(X84,X83))),
inference(resolution,[status(thm)],[c11,c7]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X29,or(X27,X28)),or(X27,or(X29,X28)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c18,plain,
theorem(implies(or(X99,or(X101,X100)),or(X101,or(X99,X100)))),
inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).
cnf(c71,plain,
( theorem(or(X355,or(X356,X354)))
| ~ theorem(or(X356,or(X355,X354))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(c276,plain,
theorem(or(X357,or(not(X358),X358))),
inference(resolution,[status(thm)],[c71,c54]) ).
cnf(c286,plain,
theorem(or(not(X359),X359)),
inference(resolution,[status(thm)],[c276,c15]) ).
cnf(c290,plain,
theorem(implies(X360,X360)),
inference(resolution,[status(thm)],[c286,c31]) ).
cnf(c294,plain,
$false,
inference(resolution,[status(thm)],[c290,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL176-3 : 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 : n001.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 09:27:01 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.39 (re.compile("\."), Token.FullStop),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.39 (re.compile("\("), Token.OpenPar),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.39 (re.compile("\)"), Token.ClosePar),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.39 (re.compile("\["), Token.OpenSquare),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.39 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.39 (re.compile("~\|"), Token.Nor),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.39 (re.compile("\|"), Token.Or),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.39 (re.compile("\?"), Token.Existential),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.39 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.39 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.13/0.42 """
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.13/0.42 """
% 0.22/0.46 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.46 """
% 0.22/0.51 % Version: 1.5
% 0.22/0.51 % SZS status Unsatisfiable
% 0.22/0.51 % SZS output start CNFRefutation
% See solution above
% 0.22/0.51
% 0.22/0.51 % Initial clauses : 17
% 0.22/0.51 % Processed clauses : 94
% 0.22/0.51 % Factors computed : 3
% 0.22/0.51 % Resolvents computed: 290
% 0.22/0.51 % Tautologies deleted: 4
% 0.22/0.51 % Forward subsumed : 61
% 0.22/0.51 % Backward subsumed : 0
% 0.22/0.51 % -------- CPU Time ---------
% 0.22/0.51 % User time : 0.137 s
% 0.22/0.51 % System time : 0.021 s
% 0.22/0.51 % Total time : 0.158 s
%------------------------------------------------------------------------------