%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL856-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 12:59:25 PM UTC 2026
% Result : Unsatisfiable 1.16s 1.40s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Type_Otyping(v_e,v_t,v_T),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_type__implies__IT_0,axiom,
( hBOOL(hAPP(c_InductTermi_OIT,X289))
| ~ c_Type_Otyping(X291,X289,X290) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_type__implies__IT_0) ).
cnf(c607,plain,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
inference(resolution,[status(thm)],[cls_type__implies__IT_0,cls_conjecture_0]) ).
cnf(cls_IT__implies__termi_0,axiom,
( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1197,tc_Lambda_OdB)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1197)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IT__implies__termi_0) ).
cnf(c4007,plain,
c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
inference(resolution,[status(thm)],[cls_IT__implies__termi_0,c607]) ).
cnf(c8340,plain,
$false,
inference(resolution,[status(thm)],[c4007,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL856-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 5 03:18:27 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.03/0.32 (re.compile("\."), Token.FullStop),
% 0.03/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.03/0.32 (re.compile("\("), Token.OpenPar),
% 0.03/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.03/0.32 (re.compile("\)"), Token.ClosePar),
% 0.03/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.03/0.32 (re.compile("\["), Token.OpenSquare),
% 0.03/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.03/0.32 (re.compile("\]"), Token.CloseSquare),
% 0.03/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.03/0.32 (re.compile("~\|"), Token.Nor),
% 0.03/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.03/0.32 (re.compile("\|"), Token.Or),
% 0.03/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.03/0.32 (re.compile("\?"), Token.Existential),
% 0.03/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.03/0.32 (re.compile("\s+"), Token.WhiteSpace),
% 0.03/0.32 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.03/0.32 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.08/0.35 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.08/0.35 """
% 0.08/0.35 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.08/0.35 """
% 0.08/0.39 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.08/0.39 """
% 1.16/1.40 % Version: 1.5
% 1.16/1.40 % SZS status Unsatisfiable
% 1.16/1.40 % SZS output start CNFRefutation
% See solution above
% 1.16/1.40
% 1.16/1.40 % Initial clauses : 227
% 1.16/1.40 % Processed clauses : 659
% 1.16/1.40 % Factors computed : 31
% 1.16/1.40 % Resolvents computed: 8274
% 1.16/1.40 % Tautologies deleted: 10
% 1.16/1.40 % Forward subsumed : 288
% 1.16/1.40 % Backward subsumed : 4
% 1.16/1.40 % -------- CPU Time ---------
% 1.16/1.40 % User time : 1.098 s
% 1.16/1.40 % System time : 0.014 s
% 1.16/1.40 % Total time : 1.112 s
%------------------------------------------------------------------------------