%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL445-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 0.55s 0.85s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 18 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 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 : 16 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_PropLog_Odeduction_0,axiom,
( ~ c_in(X5,c_PropLog_Othms(c_insert(X3,X2,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| c_in(c_PropLog_Opl_Oop_A_N_62(X3,X5,X4),c_PropLog_Othms(X2,X4),tc_PropLog_Opl(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).
cnf(c1,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[cls_PropLog_Odeduction_0,cls_conjecture_1]) ).
cnf(cls_PropLog_Othms_OMP_0,axiom,
( ~ c_in(X7,c_PropLog_Othms(X6,X8),tc_PropLog_Opl(X8))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X7,X9,X8),c_PropLog_Othms(X6,X8),tc_PropLog_Opl(X8))
| c_in(X9,c_PropLog_Othms(X6,X8),tc_PropLog_Opl(X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c0,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[cls_PropLog_Odeduction_0,cls_conjecture_0]) ).
cnf(cls_PropLog_Othms__excluded__middle_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X11,X13,X12),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X11,c_PropLog_Opl_Ofalse,X12),X13,X12),X13,X12),X12),c_PropLog_Othms(X10,X12),tc_PropLog_Opl(X12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle_0) ).
cnf(c4,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X22,X19,X21),c_PropLog_Othms(X20,X21),tc_PropLog_Opl(X21))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X22,c_PropLog_Opl_Ofalse,X21),X19,X21),X19,X21),c_PropLog_Othms(X20,X21),tc_PropLog_Opl(X21)) ),
inference(resolution,[status(thm)],[cls_PropLog_Othms__excluded__middle_0,cls_PropLog_Othms_OMP_0]) ).
cnf(c10,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(c13,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[c10,cls_PropLog_Othms_OMP_0]) ).
cnf(c19,plain,
c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c13,c1]) ).
cnf(c20,plain,
$false,
inference(resolution,[status(thm)],[c19,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL445-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.18/0.44 % Computer : n013.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 4 21:50:35 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.22/0.53 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.22/0.54 (re.compile("\."), Token.FullStop),
% 0.22/0.54 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.22/0.54 (re.compile("\("), Token.OpenPar),
% 0.22/0.54 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.22/0.54 (re.compile("\)"), Token.ClosePar),
% 0.22/0.54 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.22/0.54 (re.compile("\["), Token.OpenSquare),
% 0.22/0.54 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.22/0.54 (re.compile("\]"), Token.CloseSquare),
% 0.22/0.54 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.22/0.54 (re.compile("~\|"), Token.Nor),
% 0.22/0.54 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.22/0.54 (re.compile("\|"), Token.Or),
% 0.22/0.54 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.22/0.54 (re.compile("\?"), Token.Existential),
% 0.22/0.54 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.22/0.54 (re.compile("\s+"), Token.WhiteSpace),
% 0.22/0.54 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.22/0.54 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.34/0.64 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.34/0.64 """
% 0.34/0.65 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.34/0.65 """
% 0.55/0.80 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.55/0.80 """
% 0.55/0.85 % Version: 1.5
% 0.55/0.85 % SZS status Unsatisfiable
% 0.55/0.85 % SZS output start CNFRefutation
% See solution above
% 0.55/0.85
% 0.55/0.85 % Initial clauses : 6
% 0.55/0.85 % Processed clauses : 17
% 0.55/0.85 % Factors computed : 0
% 0.55/0.85 % Resolvents computed: 21
% 0.55/0.85 % Tautologies deleted: 0
% 0.55/0.85 % Forward subsumed : 1
% 0.55/0.85 % Backward subsumed : 3
% 0.55/0.85 % -------- CPU Time ---------
% 0.55/0.85 % User time : 0.372 s
% 0.55/0.85 % System time : 0.030 s
% 0.55/0.85 % Total time : 0.402 s
%------------------------------------------------------------------------------