%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 12:57:55 PM UTC 2026
% Result : Unsatisfiable 0.65s 0.96s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of clauses : 36 ( 24 unt; 0 nHn; 12 RR)
% Number of literals : 50 ( 49 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_wajsberg_lemma,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
theory(equality) ).
cnf(transitivity,axiom,
( X16 != X18
| X18 != X17
| X16 = X17 ),
theory(equality) ).
cnf(wajsberg_1,axiom,
implies(truth,X3) = X3,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
cnf(c3,plain,
X10 = implies(truth,X10),
inference(resolution,[status(thm)],[symmetry,wajsberg_1]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c0,axiom,
( X38 != X36
| X35 != X37
| implies(X38,X35) = implies(X36,X37) ),
theory(equality) ).
cnf(c43,plain,
( X135 != X134
| implies(X135,X133) = implies(X134,X133) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c314,plain,
implies(X166,X167) = implies(implies(truth,X166),X167),
inference(resolution,[status(thm)],[c43,c3]) ).
cnf(wajsberg_3,axiom,
implies(implies(X19,X20),X20) = implies(implies(X20,X19),X19),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).
cnf(c13,plain,
( X72 != implies(implies(X73,X74),X74)
| X72 = implies(implies(X74,X73),X73) ),
inference(resolution,[status(thm)],[wajsberg_3,transitivity]) ).
cnf(lemma_antecedent,negated_conjecture,
implies(X12,X13) = implies(X13,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_antecedent) ).
cnf(c9,plain,
( X28 != implies(truth,X27)
| X28 = X27 ),
inference(resolution,[status(thm)],[transitivity,wajsberg_1]) ).
cnf(c21,plain,
implies(X32,truth) = X32,
inference(resolution,[status(thm)],[c9,lemma_antecedent]) ).
cnf(c30,plain,
X34 = implies(X34,truth),
inference(resolution,[status(thm)],[c21,symmetry]) ).
cnf(c33,plain,
( X69 != X70
| X69 = implies(X70,truth) ),
inference(resolution,[status(thm)],[c30,transitivity]) ).
cnf(c121,plain,
X98 = implies(implies(X98,truth),truth),
inference(resolution,[status(thm)],[c33,c30]) ).
cnf(c201,plain,
X100 = implies(implies(truth,X100),X100),
inference(resolution,[status(thm)],[c121,c13]) ).
cnf(c213,plain,
implies(implies(truth,X104),X104) = X104,
inference(resolution,[status(thm)],[c201,symmetry]) ).
cnf(c228,plain,
( X368 != implies(implies(truth,X367),X367)
| X368 = X367 ),
inference(resolution,[status(thm)],[c213,transitivity]) ).
cnf(c1721,plain,
implies(X371,X371) = X371,
inference(resolution,[status(thm)],[c228,c314]) ).
cnf(c1792,plain,
( X395 != implies(X394,X394)
| X395 = X394 ),
inference(resolution,[status(thm)],[c1721,transitivity]) ).
cnf(wajsberg_2,axiom,
implies(implies(X7,X9),implies(implies(X9,X8),implies(X7,X8))) = truth,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_2) ).
cnf(c12,plain,
( X64 != implies(implies(X62,X63),implies(implies(X63,X65),implies(X62,X65)))
| X64 = truth ),
inference(resolution,[status(thm)],[transitivity,wajsberg_2]) ).
cnf(c8,plain,
( X55 != implies(X54,X53)
| X55 = implies(X53,X54) ),
inference(resolution,[status(thm)],[transitivity,lemma_antecedent]) ).
cnf(c1808,plain,
implies(implies(X526,X526),X527) = implies(X526,X527),
inference(resolution,[status(thm)],[c1721,c43]) ).
cnf(c3744,plain,
implies(implies(X530,X530),X530) = X530,
inference(resolution,[status(thm)],[c1808,c1792]) ).
cnf(c3801,plain,
X531 = implies(implies(X531,X531),X531),
inference(resolution,[status(thm)],[c3744,symmetry]) ).
cnf(c3837,plain,
X536 = implies(X536,implies(X536,X536)),
inference(resolution,[status(thm)],[c3801,c8]) ).
cnf(c3877,plain,
implies(X537,X537) = truth,
inference(resolution,[status(thm)],[c3837,c12]) ).
cnf(c3917,plain,
truth = implies(X540,X540),
inference(resolution,[status(thm)],[c3877,symmetry]) ).
cnf(c3982,plain,
truth = X541,
inference(resolution,[status(thm)],[c3917,c1792]) ).
cnf(c4010,plain,
X548 = truth,
inference(resolution,[status(thm)],[c3982,symmetry]) ).
cnf(c3998,plain,
( X579 != truth
| X579 = X578 ),
inference(resolution,[status(thm)],[c3982,transitivity]) ).
cnf(c4249,plain,
X581 = X580,
inference(resolution,[status(thm)],[c3998,c4010]) ).
cnf(c4257,plain,
$false,
inference(resolution,[status(thm)],[c4249,prove_wajsberg_lemma]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n026.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 08:08:56 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.38 (re.compile("\."), Token.FullStop),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.38 (re.compile("\("), Token.OpenPar),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.38 (re.compile("\)"), Token.ClosePar),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.38 (re.compile("\["), Token.OpenSquare),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.38 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.38 (re.compile("~\|"), Token.Nor),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.38 (re.compile("\|"), Token.Or),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.38 (re.compile("\?"), Token.Existential),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.38 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.38 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.38 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.41 """
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.41 """
% 0.12/0.45 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.45 """
% 0.65/0.96 % Version: 1.5
% 0.65/0.96 % SZS status Unsatisfiable
% 0.65/0.96 % SZS output start CNFRefutation
% See solution above
% 0.65/0.96
% 0.65/0.96 % Initial clauses : 11
% 0.65/0.96 % Processed clauses : 183
% 0.65/0.96 % Factors computed : 2
% 0.65/0.96 % Resolvents computed: 4254
% 0.65/0.96 % Tautologies deleted: 2
% 0.65/0.96 % Forward subsumed : 323
% 0.65/0.96 % Backward subsumed : 181
% 0.65/0.96 % -------- CPU Time ---------
% 0.65/0.96 % User time : 0.586 s
% 0.65/0.96 % System time : 0.017 s
% 0.65/0.96 % Total time : 0.603 s
%------------------------------------------------------------------------------