%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL212-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 12:58:05 PM UTC 2026
% Result : Unsatisfiable 16.97s 17.21s
% Output : CNFRefutation 16.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 16 unt; 0 nHn; 11 RR)
% Number of literals : 41 ( 12 equ; 15 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 : 54 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(not(p),implies(q,implies(implies(p,q),q)))),
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(c11,plain,
or(not(X45),X46) = implies(X45,X46),
inference(resolution,[status(thm)],[implies_definition,symmetry]) ).
cnf(c28,plain,
( ~ theorem(or(not(X102),X103))
| theorem(implies(X102,X103)) ),
inference(resolution,[status(thm)],[c11,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(X19,X18),or(X18,X19))),
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(c26,plain,
( theorem(or(X55,X56))
| ~ theorem(or(X56,X55)) ),
inference(resolution,[status(thm)],[c10,rule_2]) ).
cnf(axiom_1_3,axiom,
axiom(implies(X9,or(X8,X9))),
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(c12,plain,
( ~ theorem(implies(X76,X77))
| theorem(or(not(X76),X77)) ),
inference(resolution,[status(thm)],[implies_definition,c4]) ).
cnf(c48,plain,
theorem(or(not(X82),or(X83,X82))),
inference(resolution,[status(thm)],[c12,c7]) ).
cnf(c55,plain,
theorem(or(or(X85,X86),not(X86))),
inference(resolution,[status(thm)],[c48,c26]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X78 != X79
| X81 != X80
| or(X78,X81) = or(X79,X80) ),
theory(equality) ).
cnf(c54,plain,
( X147 != X148
| or(X147,X149) = or(X148,X149) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(c113,plain,
or(or(not(X656),X657),X658) = or(implies(X656,X657),X658),
inference(resolution,[status(thm)],[c54,c11]) ).
cnf(c1026,plain,
( ~ theorem(or(or(not(X9431),X9430),X9429))
| theorem(or(implies(X9431,X9430),X9429)) ),
inference(resolution,[status(thm)],[c113,c4]) ).
cnf(c23198,plain,
theorem(or(implies(X9436,X9437),not(X9437))),
inference(resolution,[status(thm)],[c1026,c55]) ).
cnf(c23443,plain,
theorem(or(not(X9447),implies(X9446,X9447))),
inference(resolution,[status(thm)],[c23198,c26]) ).
cnf(c23517,plain,
theorem(implies(X9449,implies(X9448,X9449))),
inference(resolution,[status(thm)],[c23443,c28]) ).
cnf(c23538,plain,
( theorem(implies(X9453,X9452))
| ~ theorem(X9452) ),
inference(resolution,[status(thm)],[c23517,rule_2]) ).
cnf(c23785,plain,
theorem(implies(X9540,implies(X9542,implies(X9541,X9542)))),
inference(resolution,[status(thm)],[c23538,c23517]) ).
cnf(c24844,plain,
$false,
inference(resolution,[status(thm)],[c23785,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL212-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.36 % Computer : n028.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 20:17:59 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.42 (re.compile("\."), Token.FullStop),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.42 (re.compile("\("), Token.OpenPar),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.42 (re.compile("\)"), Token.ClosePar),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.42 (re.compile("\["), Token.OpenSquare),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("~\|"), Token.Nor),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("\|"), Token.Or),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.42 (re.compile("\?"), Token.Existential),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.42 (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 """
% 16.97/17.21 % Version: 1.5
% 16.97/17.21 % SZS status Unsatisfiable
% 16.97/17.21 % SZS output start CNFRefutation
% See solution above
% 16.97/17.21
% 16.97/17.21 % Initial clauses : 17
% 16.97/17.21 % Processed clauses : 1070
% 16.97/17.21 % Factors computed : 3
% 16.97/17.21 % Resolvents computed: 24843
% 16.97/17.21 % Tautologies deleted: 5
% 16.97/17.21 % Forward subsumed : 2822
% 16.97/17.21 % Backward subsumed : 7
% 16.97/17.21 % -------- CPU Time ---------
% 16.97/17.21 % User time : 16.786 s
% 16.97/17.21 % System time : 0.061 s
% 16.97/17.21 % Total time : 16.847 s
%------------------------------------------------------------------------------