%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL446-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 12:58:32 PM UTC 2026
% Result : Unsatisfiable 0.32s 0.62s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 29 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_PropLog_Othms_OK_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(X5,X2,X4),X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OK_0) ).
cnf(cls_PropLog_Othms_OMP_0,axiom,
( ~ c_in(X6,c_PropLog_Othms(X7,X8),tc_PropLog_Opl(X8))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X6,X9,X8),c_PropLog_Othms(X7,X8),tc_PropLog_Opl(X8))
| c_in(X9,c_PropLog_Othms(X7,X8),tc_PropLog_Opl(X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
cnf(cls_PropLog_Othms_OS_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X19,c_PropLog_Opl_Oop_A_N_62(X21,X20,X22),X22),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X19,X21,X22),c_PropLog_Opl_Oop_A_N_62(X19,X20,X22),X22),X22),c_PropLog_Othms(X23,X22),tc_PropLog_Opl(X22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).
cnf(c5,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X81,c_PropLog_Opl_Oop_A_N_62(X82,X79,X80),X80),c_PropLog_Othms(X78,X80),tc_PropLog_Opl(X80))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X81,X82,X80),c_PropLog_Opl_Oop_A_N_62(X81,X79,X80),X80),c_PropLog_Othms(X78,X80),tc_PropLog_Opl(X80)) ),
inference(resolution,[status(thm)],[cls_PropLog_Othms_OS_0,cls_PropLog_Othms_OMP_0]) ).
cnf(c16,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X84,X83,X86),c_PropLog_Opl_Oop_A_N_62(X84,X84,X86),X86),c_PropLog_Othms(X85,X86),tc_PropLog_Opl(X86)),
inference(resolution,[status(thm)],[c5,cls_PropLog_Othms_OK_0]) ).
cnf(c25,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X107,X105,X106),c_PropLog_Othms(X108,X106),tc_PropLog_Opl(X106))
| c_in(c_PropLog_Opl_Oop_A_N_62(X107,X107,X106),c_PropLog_Othms(X108,X106),tc_PropLog_Opl(X106)) ),
inference(resolution,[status(thm)],[c16,cls_PropLog_Othms_OMP_0]) ).
cnf(c33,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X110,X110,X109),c_PropLog_Othms(X111,X109),tc_PropLog_Opl(X109)),
inference(resolution,[status(thm)],[c25,cls_PropLog_Othms_OK_0]) ).
cnf(c44,plain,
$false,
inference(resolution,[status(thm)],[c33,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL446-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 5 14:12:08 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.15/0.43 (re.compile("\."), Token.FullStop),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.15/0.43 (re.compile("\("), Token.OpenPar),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.15/0.43 (re.compile("\)"), Token.ClosePar),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.15/0.43 (re.compile("\["), Token.OpenSquare),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.15/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.15/0.43 (re.compile("~\|"), Token.Nor),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.15/0.43 (re.compile("\|"), Token.Or),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.15/0.43 (re.compile("\?"), Token.Existential),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.15/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.15/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.24/0.50 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.50 """
% 0.24/0.50 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.50 """
% 0.32/0.59 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.59 """
% 0.32/0.62 % Version: 1.5
% 0.32/0.62 % SZS status Unsatisfiable
% 0.32/0.62 % SZS output start CNFRefutation
% See solution above
% 0.32/0.62
% 0.32/0.62 % Initial clauses : 4
% 0.32/0.62 % Processed clauses : 17
% 0.32/0.62 % Factors computed : 0
% 0.32/0.62 % Resolvents computed: 48
% 0.32/0.62 % Tautologies deleted: 0
% 0.32/0.62 % Forward subsumed : 4
% 0.32/0.62 % Backward subsumed : 1
% 0.32/0.62 % -------- CPU Time ---------
% 0.32/0.62 % User time : 0.231 s
% 0.32/0.62 % System time : 0.022 s
% 0.32/0.62 % Total time : 0.254 s
%------------------------------------------------------------------------------