%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL443-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 2.36s 2.62s
% Output : CNFRefutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 11 RR)
% Number of literals : 24 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 29 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_PropLog_Odeduction_0,axiom,
( ~ c_in(X24,c_PropLog_Othms(c_insert(X21,X23,tc_PropLog_Opl(X22)),X22),tc_PropLog_Opl(X22))
| c_in(c_PropLog_Opl_Oop_A_N_62(X21,X24,X22),c_PropLog_Othms(X23,X22),tc_PropLog_Opl(X22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_p,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_Oweaken__left__insert_0,axiom,
( ~ c_in(X45,c_PropLog_Othms(X43,X42),tc_PropLog_Opl(X42))
| c_in(X45,c_PropLog_Othms(c_insert(X44,X43,tc_PropLog_Opl(X42)),X42),tc_PropLog_Opl(X42)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
cnf(c29,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X50,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[cls_PropLog_Oweaken__left__insert_0,cls_conjecture_0]) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X4,c_insert(X4,X3,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_PropLog_Othms_OH_0,axiom,
( ~ c_in(X7,X6,tc_PropLog_Opl(X5))
| c_in(X7,c_PropLog_Othms(X6,X5),tc_PropLog_Opl(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
cnf(c0,plain,
c_in(X10,c_PropLog_Othms(c_insert(X10,X8,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(X14,c_PropLog_Othms(X13,X11),tc_PropLog_Opl(X11))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X14,X12,X11),c_PropLog_Othms(X13,X11),tc_PropLog_Opl(X11))
| c_in(X12,c_PropLog_Othms(X13,X11),tc_PropLog_Opl(X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
cnf(c4,plain,
( ~ c_in(X79,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X79,X80,X82),X81,tc_PropLog_Opl(X82)),X82),tc_PropLog_Opl(X82))
| c_in(X80,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X79,X80,X82),X81,tc_PropLog_Opl(X82)),X82),tc_PropLog_Opl(X82)) ),
inference(resolution,[status(thm)],[cls_PropLog_Othms_OMP_0,c0]) ).
cnf(c65,plain,
c_in(X238,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X238,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c4,c29]) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c24,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X239,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[cls_PropLog_Oweaken__left__insert_0,cls_conjecture_1]) ).
cnf(c225,plain,
( ~ c_in(v_q,c_PropLog_Othms(c_insert(X2118,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(X2118,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[c24,cls_PropLog_Othms_OMP_0]) ).
cnf(c2250,plain,
c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c225,c65]) ).
cnf(c2367,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c2250,cls_PropLog_Odeduction_0]) ).
cnf(c2383,plain,
$false,
inference(resolution,[status(thm)],[c2367,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL443-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.36 % Computer : n002.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 17:46:35 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.42 (re.compile("\."), Token.FullStop),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.42 (re.compile("\("), Token.OpenPar),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.42 (re.compile("\)"), Token.ClosePar),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.42 (re.compile("\["), Token.OpenSquare),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("~\|"), Token.Nor),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("\|"), Token.Or),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.42 (re.compile("\?"), Token.Existential),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.23/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.33/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.58 """
% 2.36/2.62 % Version: 1.5
% 2.36/2.62 % SZS status Unsatisfiable
% 2.36/2.62 % SZS output start CNFRefutation
% See solution above
% 2.36/2.62
% 2.36/2.62 % Initial clauses : 8
% 2.36/2.62 % Processed clauses : 233
% 2.36/2.62 % Factors computed : 0
% 2.36/2.62 % Resolvents computed: 2386
% 2.36/2.62 % Tautologies deleted: 1
% 2.36/2.62 % Forward subsumed : 361
% 2.36/2.62 % Backward subsumed : 0
% 2.36/2.62 % -------- CPU Time ---------
% 2.36/2.62 % User time : 2.232 s
% 2.36/2.62 % System time : 0.029 s
% 2.36/2.62 % Total time : 2.261 s
%------------------------------------------------------------------------------