%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL268-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 12:58:12 PM UTC 2026
% Result : Unsatisfiable 24.78s 25.07s
% Output : CNFRefutation 24.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 27 unt; 0 nHn; 15 RR)
% Number of literals : 56 ( 10 equ; 17 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 : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 65 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(equivalent(p,p)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c6,axiom,
( X19 != X18
| ~ theorem(X19)
| theorem(X18) ),
theory(equality) ).
cnf(symmetry,axiom,
( X5 != X4
| X4 = X5 ),
theory(equality) ).
cnf(equivalent_defn,axiom,
equivalent(X64,X63) = and(implies(X64,X63),implies(X63,X64)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
cnf(c50,plain,
and(implies(X333,X334),implies(X334,X333)) = equivalent(X333,X334),
inference(resolution,[status(thm)],[equivalent_defn,symmetry]) ).
cnf(c343,plain,
( ~ theorem(and(implies(X3065,X3066),implies(X3066,X3065)))
| theorem(equivalent(X3065,X3066)) ),
inference(resolution,[status(thm)],[c50,c6]) ).
cnf(and_defn,axiom,
and(X53,X52) = not(or(not(X53),not(X52))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-1.ax',and_defn) ).
cnf(c38,plain,
not(or(not(X259),not(X258))) = and(X259,X258),
inference(resolution,[status(thm)],[and_defn,symmetry]) ).
cnf(c275,plain,
( ~ theorem(not(or(not(X2317),not(X2318))))
| theorem(and(X2317,X2318)) ),
inference(resolution,[status(thm)],[c38,c6]) ).
cnf(rule_2,axiom,
( theorem(X24)
| ~ theorem(implies(X23,X24))
| ~ theorem(X23) ),
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(X17,X16),or(X16,X17))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(c11,plain,
theorem(implies(or(X44,X43),or(X43,X44))),
inference(resolution,[status(thm)],[axiom_1_4,rule_1]) ).
cnf(c28,plain,
( theorem(or(X57,X58))
| ~ theorem(or(X58,X57)) ),
inference(resolution,[status(thm)],[c11,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(c5,axiom,
( X14 != X13
| ~ axiom(X14)
| axiom(X13) ),
theory(equality) ).
cnf(implies_definition,axiom,
implies(X22,X21) = or(not(X22),X21),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c13,plain,
( ~ axiom(implies(X80,X81))
| axiom(or(not(X80),X81)) ),
inference(resolution,[status(thm)],[implies_definition,c5]) ).
cnf(c62,plain,
axiom(or(not(or(X82,X82)),X82)),
inference(resolution,[status(thm)],[c13,axiom_1_2]) ).
cnf(c67,plain,
theorem(or(not(or(X85,X85)),X85)),
inference(resolution,[status(thm)],[c62,rule_1]) ).
cnf(c69,plain,
theorem(or(X92,not(or(X92,X92)))),
inference(resolution,[status(thm)],[c67,c28]) ).
cnf(c14,plain,
or(not(X45),X46) = implies(X45,X46),
inference(resolution,[status(thm)],[implies_definition,symmetry]) ).
cnf(c33,plain,
( ~ theorem(or(not(X117),X116))
| theorem(implies(X117,X116)) ),
inference(resolution,[status(thm)],[c14,c6]) ).
cnf(c102,plain,
theorem(implies(X310,not(or(not(X310),not(X310))))),
inference(resolution,[status(thm)],[c33,c69]) ).
cnf(c300,plain,
( theorem(not(or(not(X378),not(X378))))
| ~ theorem(X378) ),
inference(resolution,[status(thm)],[c102,rule_2]) ).
cnf(c8,plain,
theorem(implies(or(X10,X10),X10)),
inference(resolution,[status(thm)],[axiom_1_2,rule_1]) ).
cnf(c17,plain,
( theorem(X30)
| ~ theorem(or(X30,X30)) ),
inference(resolution,[status(thm)],[rule_2,c8]) ).
cnf(axiom_1_3,axiom,
axiom(implies(X9,or(X8,X9))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c65,plain,
axiom(or(not(X83),or(X84,X83))),
inference(resolution,[status(thm)],[c13,axiom_1_3]) ).
cnf(c68,plain,
theorem(or(not(X86),or(X87,X86))),
inference(resolution,[status(thm)],[c65,rule_1]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X29,or(X28,X27)),or(X28,or(X29,X27)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c20,plain,
theorem(implies(or(X127,or(X126,X128)),or(X126,or(X127,X128)))),
inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).
cnf(c112,plain,
( theorem(or(X745,or(X744,X743)))
| ~ theorem(or(X744,or(X745,X743))) ),
inference(resolution,[status(thm)],[c20,rule_2]) ).
cnf(c812,plain,
theorem(or(X746,or(not(X747),X747))),
inference(resolution,[status(thm)],[c112,c68]) ).
cnf(c822,plain,
theorem(or(not(X748),X748)),
inference(resolution,[status(thm)],[c812,c17]) ).
cnf(c829,plain,
theorem(implies(X749,X749)),
inference(resolution,[status(thm)],[c822,c33]) ).
cnf(c835,plain,
theorem(not(or(not(implies(X8672,X8672)),not(implies(X8672,X8672))))),
inference(resolution,[status(thm)],[c829,c300]) ).
cnf(c28229,plain,
theorem(and(implies(X8675,X8675),implies(X8675,X8675))),
inference(resolution,[status(thm)],[c835,c275]) ).
cnf(c28252,plain,
theorem(equivalent(X8676,X8676)),
inference(resolution,[status(thm)],[c28229,c343]) ).
cnf(c28259,plain,
$false,
inference(resolution,[status(thm)],[c28252,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL268-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 00:20:58 UTC 2026
% 0.09/0.36 % 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),
% 0.21/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.49 """
% 0.21/0.50 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.50 """
% 0.31/0.59 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.31/0.59 """
% 24.78/25.07 % Version: 1.5
% 24.78/25.07 % SZS status Unsatisfiable
% 24.78/25.07 % SZS output start CNFRefutation
% See solution above
% 24.78/25.07
% 24.78/25.07 % Initial clauses : 21
% 24.78/25.07 % Processed clauses : 1071
% 24.78/25.07 % Factors computed : 5
% 24.78/25.07 % Resolvents computed: 28255
% 24.78/25.07 % Tautologies deleted: 5
% 24.78/25.07 % Forward subsumed : 2198
% 24.78/25.07 % Backward subsumed : 16
% 24.78/25.07 % -------- CPU Time ---------
% 24.78/25.07 % User time : 24.578 s
% 24.78/25.07 % System time : 0.126 s
% 24.78/25.07 % Total time : 24.704 s
%------------------------------------------------------------------------------