%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL760-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 12:59:12 PM UTC 2026
% Result : Unsatisfiable 4.95s 5.29s
% Output : CNFRefutation 4.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-5 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),c_Lambda_OdB_OVar(c_Suc(X4188))),c_Suc(X4189))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(X4188)),X4189)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,c_Lambda_OdB_OVar(X4188),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X4189,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_4,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),c_Lambda_OdB_OVar(c_Suc(v_ia))),c_Suc(v_ja))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(v_ia)),v_ja)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,c_Lambda_OdB_OVar(v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c21598,plain,
$false,
inference(resolution,[status(thm)],[cls_conjecture_4,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL760-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n028.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 20:04:29 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.38 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.38 (re.compile("\."), Token.FullStop),
% 0.12/0.38 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.38 (re.compile("\("), Token.OpenPar),
% 0.12/0.39 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.39 (re.compile("\)"), Token.ClosePar),
% 0.12/0.39 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.39 (re.compile("\["), Token.OpenSquare),
% 0.12/0.39 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.39 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.39 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.39 (re.compile("~\|"), Token.Nor),
% 0.12/0.39 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.39 (re.compile("\|"), Token.Or),
% 0.12/0.39 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.39 (re.compile("\?"), Token.Existential),
% 0.12/0.39 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.39 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.39 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.39 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.12/0.42 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.42 """
% 0.12/0.42 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.42 """
% 0.21/0.46 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.46 """
% 4.95/5.29 % Version: 1.5
% 4.95/5.29 % SZS status Unsatisfiable
% 4.95/5.29 % SZS output start CNFRefutation
% See solution above
% 4.95/5.29
% 4.95/5.29 % Initial clauses : 737
% 4.95/5.29 % Processed clauses : 2425
% 4.95/5.29 % Factors computed : 54
% 4.95/5.29 % Resolvents computed: 21462
% 4.95/5.29 % Tautologies deleted: 54
% 4.95/5.29 % Forward subsumed : 701
% 4.95/5.29 % Backward subsumed : 14
% 4.95/5.29 % -------- CPU Time ---------
% 4.95/5.29 % User time : 4.893 s
% 4.95/5.29 % System time : 0.044 s
% 4.95/5.29 % Total time : 4.937 s
%------------------------------------------------------------------------------