%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL792-1 : TPTP v9.3.1. Released v4.1.0.
% 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 12:59:16 PM UTC 2026
% Result : Unsatisfiable 3.16s 3.46s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_uIT_0,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uIT_0) ).
cnf(cls_lift__IT_0,axiom,
( c_InductTermi_OIT(c_Lambda_Olift(X126,X127))
| ~ c_InductTermi_OIT(X126) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__IT_0) ).
cnf(c136,plain,
c_InductTermi_OIT(c_Lambda_Olift(v_u____,X131)),
inference(resolution,[status(thm)],[cls_lift__IT_0,cls_uIT_0]) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c171,plain,
$false,
inference(resolution,[status(thm)],[cls_conjecture_0,c136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL792-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n026.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 : Sun Sep 6 01:52:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.09/0.43 (re.compile("\."), Token.FullStop),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.09/0.43 (re.compile("\("), Token.OpenPar),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.09/0.43 (re.compile("\)"), Token.ClosePar),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.09/0.43 (re.compile("\["), Token.OpenSquare),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.09/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.43 (re.compile("~\|"), Token.Nor),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.43 (re.compile("\|"), Token.Or),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.09/0.43 (re.compile("\?"), Token.Existential),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.09/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.09/0.43 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.09/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.50 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.22/0.50 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.32/0.59 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.59 """
% 3.16/3.46 % Version: 1.5
% 3.16/3.46 % SZS status Unsatisfiable
% 3.16/3.46 % SZS output start CNFRefutation
% See solution above
% 3.16/3.46
% 3.16/3.46 % Initial clauses : 1333
% 3.16/3.46 % Processed clauses : 113
% 3.16/3.46 % Factors computed : 2
% 3.16/3.46 % Resolvents computed: 69
% 3.16/3.46 % Tautologies deleted: 0
% 3.16/3.46 % Forward subsumed : 14
% 3.16/3.46 % Backward subsumed : 0
% 3.16/3.46 % -------- CPU Time ---------
% 3.16/3.46 % User time : 3.059 s
% 3.16/3.46 % System time : 0.033 s
% 3.16/3.46 % Total time : 3.092 s
%------------------------------------------------------------------------------