%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL442-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 12:58:31 PM UTC 2026
% Result : Unsatisfiable 1.66s 2.02s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 28 ( 9 unt; 8 nHn; 17 RR)
% Number of literals : 50 ( 0 equ; 16 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 : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 32 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
( c_PropLog_Oeval(v_tt,v_pl1,t_a)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_PropLog_Oweaken__left__Un1_0,axiom,
( ~ c_in(X9,c_PropLog_Othms(X8,X6),tc_PropLog_Opl(X6))
| c_in(X9,c_PropLog_Othms(c_union(X8,X7,tc_PropLog_Opl(X6)),X6),tc_PropLog_Opl(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un1_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_PropLog_Ofalse__imp_0,axiom,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X17,c_PropLog_Opl_Ofalse,X14),c_PropLog_Othms(X15,X14),tc_PropLog_Opl(X14))
| c_in(c_PropLog_Opl_Oop_A_N_62(X17,X16,X14),c_PropLog_Othms(X15,X14),tc_PropLog_Opl(X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Ofalse__imp_0) ).
cnf(c4,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,X18,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
inference(resolution,[status(thm)],[cls_PropLog_Ofalse__imp_0,cls_conjecture_1]) ).
cnf(c6,plain,
( c_PropLog_Oeval(v_tt,v_pl1,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,X29,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),X28,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[c4,cls_PropLog_Oweaken__left__Un1_0]) ).
cnf(c30,plain,
c_PropLog_Oeval(v_tt,v_pl1,t_a),
inference(resolution,[status(thm)],[c6,cls_conjecture_4]) ).
cnf(cls_conjecture_9,negated_conjecture,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_conjecture_0,negated_conjecture,
( c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c35,plain,
c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c30,cls_conjecture_0]) ).
cnf(c37,plain,
c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),X31,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c35,cls_PropLog_Oweaken__left__Un1_0]) ).
cnf(cls_PropLog_Oimp__false_0,axiom,
( ~ c_in(X42,c_PropLog_Othms(X40,X39),tc_PropLog_Opl(X39))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X41,c_PropLog_Opl_Ofalse,X39),c_PropLog_Othms(X40,X39),tc_PropLog_Opl(X39))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X42,X41,X39),c_PropLog_Opl_Ofalse,X39),c_PropLog_Othms(X40,X39),tc_PropLog_Opl(X39)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oimp__false_0) ).
cnf(cls_PropLog_Oweaken__left__Un2_0,axiom,
( ~ c_in(X13,c_PropLog_Othms(X11,X10),tc_PropLog_Opl(X10))
| c_in(X13,c_PropLog_Othms(c_union(X12,X11,tc_PropLog_Opl(X10)),X10),tc_PropLog_Opl(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un2_0) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c12,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,X20,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[cls_conjecture_3,cls_PropLog_Ofalse__imp_0]) ).
cnf(c19,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,X104,t_a),c_PropLog_Othms(c_union(X103,c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[c12,cls_PropLog_Oweaken__left__Un2_0]) ).
cnf(c102,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_in(X413,c_PropLog_Othms(c_union(X414,c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X413,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(X414,c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[c19,cls_PropLog_Oimp__false_0]) ).
cnf(c419,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[c102,c37]) ).
cnf(c1162,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
inference(resolution,[status(thm)],[c419,cls_conjecture_9]) ).
cnf(c1177,plain,
c_PropLog_Oeval(v_tt,v_pl2,t_a),
inference(resolution,[status(thm)],[c1162,c30]) ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_PropLog_Oweaken__right_0,axiom,
( ~ c_in(X4,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| c_in(c_PropLog_Opl_Oop_A_N_62(X5,X4,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c1178,plain,
c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c1177,cls_conjecture_2]) ).
cnf(c1179,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1195,v_pl2,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c1178,cls_PropLog_Oweaken__right_0]) ).
cnf(c1184,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1205,v_pl2,t_a),c_PropLog_Othms(c_union(X1204,c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c1179,cls_PropLog_Oweaken__left__Un2_0]) ).
cnf(c1197,plain,
~ c_PropLog_Oeval(v_tt,v_pl2,t_a),
inference(resolution,[status(thm)],[c1184,cls_conjecture_5]) ).
cnf(c1201,plain,
$false,
inference(resolution,[status(thm)],[c1197,c1177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL442-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 20:34:09 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.42 (re.compile("\."), Token.FullStop),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.42 (re.compile("\("), Token.OpenPar),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.42 (re.compile("\)"), Token.ClosePar),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.42 (re.compile("\["), Token.OpenSquare),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("~\|"), Token.Nor),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("\|"), Token.Or),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.42 (re.compile("\?"), Token.Existential),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.22/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.32/0.59 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.59 """
% 1.66/2.02 % Version: 1.5
% 1.66/2.02 % SZS status Unsatisfiable
% 1.66/2.02 % SZS output start CNFRefutation
% See solution above
% 1.66/2.02
% 1.66/2.02 % Initial clauses : 12
% 1.66/2.02 % Processed clauses : 233
% 1.66/2.02 % Factors computed : 2
% 1.66/2.02 % Resolvents computed: 1200
% 1.66/2.02 % Tautologies deleted: 0
% 1.66/2.02 % Forward subsumed : 163
% 1.66/2.02 % Backward subsumed : 82
% 1.66/2.02 % -------- CPU Time ---------
% 1.66/2.02 % User time : 1.628 s
% 1.66/2.02 % System time : 0.034 s
% 1.66/2.02 % Total time : 1.662 s
%------------------------------------------------------------------------------