%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL433-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 12:58:29 PM UTC 2026
% Result : Unsatisfiable 0.47s 0.72s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 22 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 24 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X4,c_insert(X4,X3,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_PropLog_Othms_OH_0,axiom,
( ~ c_in(X5,X7,tc_PropLog_Opl(X6))
| c_in(X5,c_PropLog_Othms(X7,X6),tc_PropLog_Opl(X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
cnf(c0,plain,
c_in(X8,c_PropLog_Othms(c_insert(X8,X10,tc_PropLog_Opl(X9)),X9),tc_PropLog_Opl(X9)),
inference(resolution,[status(thm)],[cls_PropLog_Othms_OH_0,cls_Set_OinsertCI_1]) ).
cnf(cls_PropLog_Othms_OMP_0,axiom,
( ~ c_in(X22,c_PropLog_Othms(X25,X24),tc_PropLog_Opl(X24))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X22,X23,X24),c_PropLog_Othms(X25,X24),tc_PropLog_Opl(X24))
| c_in(X23,c_PropLog_Othms(X25,X24),tc_PropLog_Opl(X24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_in(X14,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,X14,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_2,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_PropLog_Osat__imp_0,axiom,
( ~ c_PropLog_Osat(c_insert(X15,X18,tc_PropLog_Opl(X17)),X16,X17)
| c_PropLog_Osat(X18,c_PropLog_Opl_Oop_A_N_62(X15,X16,X17),X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).
cnf(c3,plain,
c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
inference(resolution,[status(thm)],[cls_PropLog_Osat__imp_0,cls_conjecture_2]) ).
cnf(c4,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c3,cls_conjecture_4]) ).
cnf(cls_PropLog_Oweaken__left__insert_0,axiom,
( ~ c_in(X30,c_PropLog_Othms(X29,X32),tc_PropLog_Opl(X32))
| c_in(X30,c_PropLog_Othms(c_insert(X31,X29,tc_PropLog_Opl(X32)),X32),tc_PropLog_Opl(X32)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
cnf(c19,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(X49,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[cls_PropLog_Oweaken__left__insert_0,c4]) ).
cnf(c31,plain,
( ~ c_in(v_x,c_PropLog_Othms(c_insert(X205,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(v_xa,c_PropLog_Othms(c_insert(X205,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[c19,cls_PropLog_Othms_OMP_0]) ).
cnf(c159,plain,
c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c31,c0]) ).
cnf(c161,plain,
$false,
inference(resolution,[status(thm)],[c159,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL433-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 09:08:09 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.15/0.42 (re.compile("\."), Token.FullStop),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.15/0.42 (re.compile("\("), Token.OpenPar),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.15/0.42 (re.compile("\)"), Token.ClosePar),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.15/0.42 (re.compile("\["), Token.OpenSquare),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.15/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.15/0.42 (re.compile("~\|"), Token.Nor),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.15/0.42 (re.compile("\|"), Token.Or),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.15/0.42 (re.compile("\?"), Token.Existential),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.15/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.15/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.23/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.34/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.34/0.58 """
% 0.47/0.72 % Version: 1.5
% 0.47/0.72 % SZS status Unsatisfiable
% 0.47/0.72 % SZS output start CNFRefutation
% See solution above
% 0.47/0.72
% 0.47/0.72 % Initial clauses : 8
% 0.47/0.72 % Processed clauses : 58
% 0.47/0.72 % Factors computed : 0
% 0.47/0.72 % Resolvents computed: 164
% 0.47/0.72 % Tautologies deleted: 0
% 0.47/0.72 % Forward subsumed : 9
% 0.47/0.72 % Backward subsumed : 0
% 0.47/0.72 % -------- CPU Time ---------
% 0.47/0.72 % User time : 0.333 s
% 0.47/0.72 % System time : 0.026 s
% 0.47/0.72 % Total time : 0.359 s
%------------------------------------------------------------------------------