%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL189-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 12:58:01 PM UTC 2026
% Result : Unsatisfiable 38.15s 38.40s
% Output : CNFRefutation 38.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of clauses : 42 ( 25 unt; 0 nHn; 17 RR)
% Number of literals : 64 ( 19 equ; 23 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 : 86 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(or(not(p),implies(implies(p,q),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_2,axiom,
( theorem(X23)
| ~ theorem(implies(X24,X23))
| ~ theorem(X24) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(rule_1,axiom,
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X19,X18),or(X18,X19))),
file('/export/starexec/sandbox2/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(X56,X55))
| ~ theorem(or(X55,X56)) ),
inference(resolution,[status(thm)],[c10,rule_2]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X29,or(X28,X30)),or(X28,or(X29,X30)))),
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(c72,plain,
( theorem(or(X390,or(X389,X391)))
| ~ theorem(or(X389,or(X390,X391))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(c4,axiom,
( X17 != X16
| ~ theorem(X17)
| theorem(X16) ),
theory(equality) ).
cnf(implies_definition,axiom,
implies(X21,X22) = or(not(X21),X22),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c13,plain,
( ~ theorem(implies(X89,X90))
| theorem(or(not(X89),X90)) ),
inference(resolution,[status(thm)],[implies_definition,c4]) ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
theory(equality) ).
cnf(c11,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)],[c11,c4]) ).
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(c14,plain,
( theorem(X25)
| ~ theorem(or(X25,X25)) ),
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(c3,axiom,
( X14 != X13
| ~ axiom(X14)
| axiom(X13) ),
theory(equality) ).
cnf(c12,plain,
( ~ axiom(implies(X76,X77))
| axiom(or(not(X76),X77)) ),
inference(resolution,[status(thm)],[implies_definition,c3]) ).
cnf(c50,plain,
axiom(or(not(X84),or(X83,X84))),
inference(resolution,[status(thm)],[c12,axiom_1_3]) ).
cnf(c58,plain,
theorem(or(not(X86),or(X87,X86))),
inference(resolution,[status(thm)],[c50,rule_1]) ).
cnf(c354,plain,
theorem(or(X392,or(not(X393),X393))),
inference(resolution,[status(thm)],[c72,c58]) ).
cnf(c361,plain,
theorem(or(not(X394),X394)),
inference(resolution,[status(thm)],[c354,c14]) ).
cnf(c363,plain,
theorem(implies(X395,X395)),
inference(resolution,[status(thm)],[c361,c31]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c0,axiom,
( X66 != X65
| X64 != X67
| implies(X66,X64) = implies(X65,X67) ),
theory(equality) ).
cnf(c42,plain,
( X133 != X134
| implies(X133,X132) = implies(X134,X132) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c102,plain,
implies(or(not(X554),X553),X555) = implies(implies(X554,X553),X555),
inference(resolution,[status(thm)],[c42,c11]) ).
cnf(c685,plain,
( ~ theorem(implies(or(not(X6176),X6174),X6175))
| theorem(implies(implies(X6176,X6174),X6175)) ),
inference(resolution,[status(thm)],[c102,c4]) ).
cnf(c13028,plain,
theorem(implies(implies(X6459,X6460),or(not(X6459),X6460))),
inference(resolution,[status(thm)],[c685,c363]) ).
cnf(c13762,plain,
theorem(or(not(implies(X6746,X6747)),or(not(X6746),X6747))),
inference(resolution,[status(thm)],[c13028,c13]) ).
cnf(c14965,plain,
theorem(or(not(X6950),or(not(implies(X6950,X6949)),X6949))),
inference(resolution,[status(thm)],[c13762,c72]) ).
cnf(c15334,plain,
theorem(or(or(not(implies(X7070,X7069)),X7069),not(X7070))),
inference(resolution,[status(thm)],[c14965,c26]) ).
cnf(c1,axiom,
( X80 != X79
| X78 != X81
| or(X80,X78) = or(X79,X81) ),
theory(equality) ).
cnf(c54,plain,
( X147 != X148
| or(X147,X149) = or(X148,X149) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(c115,plain,
or(or(not(X674),X673),X675) = or(implies(X674,X673),X675),
inference(resolution,[status(thm)],[c54,c11]) ).
cnf(c1152,plain,
( ~ theorem(or(or(not(X11036),X11034),X11035))
| theorem(or(implies(X11036,X11034),X11035)) ),
inference(resolution,[status(thm)],[c115,c4]) ).
cnf(c27664,plain,
theorem(or(implies(implies(X11309,X11308),X11308),not(X11309))),
inference(resolution,[status(thm)],[c1152,c15334]) ).
cnf(c30573,plain,
theorem(or(not(X11707),implies(implies(X11707,X11706),X11706))),
inference(resolution,[status(thm)],[c27664,c26]) ).
cnf(c32986,plain,
$false,
inference(resolution,[status(thm)],[c30573,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL189-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 18:51:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.41 (re.compile("\."), Token.FullStop),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.41 (re.compile("\("), Token.OpenPar),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.41 (re.compile("\)"), Token.ClosePar),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.41 (re.compile("\["), Token.OpenSquare),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("~\|"), Token.Nor),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("\|"), Token.Or),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.41 (re.compile("\?"), Token.Existential),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.41 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.48 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.22/0.48 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.32/0.57 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.57 """
% 38.15/38.40 % Version: 1.5
% 38.15/38.40 % SZS status Unsatisfiable
% 38.15/38.40 % SZS output start CNFRefutation
% See solution above
% 38.15/38.40
% 38.15/38.40 % Initial clauses : 17
% 38.15/38.40 % Processed clauses : 1246
% 38.15/38.40 % Factors computed : 3
% 38.15/38.40 % Resolvents computed: 32992
% 38.15/38.40 % Tautologies deleted: 5
% 38.15/38.40 % Forward subsumed : 3353
% 38.15/38.40 % Backward subsumed : 9
% 38.15/38.40 % -------- CPU Time ---------
% 38.15/38.40 % User time : 37.924 s
% 38.15/38.40 % System time : 0.119 s
% 38.15/38.40 % Total time : 38.043 s
%------------------------------------------------------------------------------