%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL170-3 : 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 12:57:57 PM UTC 2026
% Result : Unsatisfiable 27.56s 27.84s
% Output : CNFRefutation 27.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 26 ( 15 unt; 0 nHn; 12 RR)
% Number of literals : 41 ( 13 equ; 16 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(q,implies(p,q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c4,axiom,
( X16 != X17
| ~ theorem(X16)
| theorem(X17) ),
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/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c11,plain,
or(not(X46),X45) = implies(X46,X45),
inference(resolution,[status(thm)],[implies_definition,symmetry]) ).
cnf(c31,plain,
( ~ theorem(or(not(X108),X107))
| theorem(implies(X108,X107)) ),
inference(resolution,[status(thm)],[c11,c4]) ).
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(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_3,axiom,
axiom(implies(X8,or(X9,X8))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c3,axiom,
( X13 != X14
| ~ axiom(X13)
| axiom(X14) ),
theory(equality) ).
cnf(c12,plain,
( ~ axiom(implies(X81,X80))
| axiom(or(not(X81),X80)) ),
inference(resolution,[status(thm)],[implies_definition,c3]) ).
cnf(c52,plain,
axiom(or(not(X82),or(X83,X82))),
inference(resolution,[status(thm)],[c12,axiom_1_3]) ).
cnf(c57,plain,
theorem(or(not(X86),or(X85,X86))),
inference(resolution,[status(thm)],[c52,rule_1]) ).
cnf(c59,plain,
theorem(or(or(X89,X88),not(X88))),
inference(resolution,[status(thm)],[c57,c25]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X66 != X68
| X69 != X67
| or(X66,X69) = or(X68,X67) ),
theory(equality) ).
cnf(c46,plain,
( X145 != X143
| or(X145,X144) = or(X143,X144) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(c113,plain,
or(or(not(X653),X652),X654) = or(implies(X653,X652),X654),
inference(resolution,[status(thm)],[c46,c11]) ).
cnf(c1047,plain,
( ~ theorem(or(or(not(X9471),X9472),X9470))
| theorem(or(implies(X9471,X9472),X9470)) ),
inference(resolution,[status(thm)],[c113,c4]) ).
cnf(c25013,plain,
theorem(or(implies(X9477,X9478),not(X9478))),
inference(resolution,[status(thm)],[c1047,c59]) ).
cnf(c25209,plain,
theorem(or(not(X9489),implies(X9488,X9489))),
inference(resolution,[status(thm)],[c25013,c25]) ).
cnf(c25307,plain,
theorem(implies(X9493,implies(X9492,X9493))),
inference(resolution,[status(thm)],[c25209,c31]) ).
cnf(c25319,plain,
$false,
inference(resolution,[status(thm)],[c25307,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL170-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n019.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 22:55:53 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.41 (re.compile("\."), Token.FullStop),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.41 (re.compile("\("), Token.OpenPar),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.41 (re.compile("\)"), Token.ClosePar),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.41 (re.compile("\["), Token.OpenSquare),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("~\|"), Token.Nor),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("\|"), Token.Or),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.41 (re.compile("\?"), Token.Existential),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.41 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.48 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.48 """
% 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 """
% 27.56/27.84 % Version: 1.5
% 27.56/27.84 % SZS status Unsatisfiable
% 27.56/27.84 % SZS output start CNFRefutation
% See solution above
% 27.56/27.84
% 27.56/27.84 % Initial clauses : 17
% 27.56/27.84 % Processed clauses : 1084
% 27.56/27.84 % Factors computed : 3
% 27.56/27.84 % Resolvents computed: 25326
% 27.56/27.84 % Tautologies deleted: 5
% 27.56/27.84 % Forward subsumed : 2778
% 27.56/27.84 % Backward subsumed : 7
% 27.56/27.84 % -------- CPU Time ---------
% 27.56/27.84 % User time : 27.399 s
% 27.56/27.84 % System time : 0.085 s
% 27.56/27.84 % Total time : 27.484 s
%------------------------------------------------------------------------------