%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL431-2 : 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 12:58:29 PM UTC 2026
% Result : Unsatisfiable 1.65s 1.93s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 29 ( 17 equ; 15 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(cls_Set_ODiff__cancel_0,axiom,
c_minus(X7,X7,tc_set(X6)) = c_emptyset,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiff__cancel_0) ).
cnf(c0,axiom,
( X33 != X32
| X34 != X31
| c_PropLog_Othms(X33,X34) = c_PropLog_Othms(X32,X31) ),
theory(equality) ).
cnf(c25,plain,
( X41 != X40
| c_PropLog_Othms(X41,X42) = c_PropLog_Othms(X40,X42) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c32,plain,
c_PropLog_Othms(c_minus(X104,X104,tc_set(X105)),X103) = c_PropLog_Othms(c_emptyset,X103),
inference(resolution,[status(thm)],[c25,cls_Set_ODiff__cancel_0]) ).
cnf(c6,axiom,
( X102 != X101
| X97 != X98
| X99 != X100
| ~ c_in(X102,X97,X99)
| c_in(X101,X98,X100) ),
theory(equality) ).
cnf(cls_conjecture_0,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_p,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_PropLog_Ocompleteness__0__lemma__dest_0,axiom,
( ~ c_PropLog_Osat(c_emptyset,X21,X19)
| c_in(X21,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X21,X18,X19),c_PropLog_Ohyps(X21,X20,X19),tc_set(tc_PropLog_Opl(X19))),X19),tc_PropLog_Opl(X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0__lemma__dest_0) ).
cnf(c14,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X117,t_a),c_PropLog_Ohyps(v_p,X118,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[cls_PropLog_Ocompleteness__0__lemma__dest_0,cls_conjecture_0]) ).
cnf(c121,plain,
( v_p != X981
| c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X984,t_a),c_PropLog_Ohyps(v_p,X982,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a) != X985
| tc_PropLog_Opl(t_a) != X983
| c_in(X981,X985,X983) ),
inference(resolution,[status(thm)],[c14,c6]) ).
cnf(c5857,plain,
( v_p != X987
| tc_PropLog_Opl(t_a) != X986
| c_in(X987,c_PropLog_Othms(c_emptyset,t_a),X986) ),
inference(resolution,[status(thm)],[c121,c32]) ).
cnf(c5858,plain,
( v_p != X988
| c_in(X988,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[c5857,reflexivity]) ).
cnf(c5859,plain,
c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c5858,reflexivity]) ).
cnf(c5861,plain,
$false,
inference(resolution,[status(thm)],[c5859,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 17:23:23 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.41 (re.compile("\."), Token.FullStop),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.41 (re.compile("\("), Token.OpenPar),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.41 (re.compile("\)"), Token.ClosePar),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.41 (re.compile("\["), Token.OpenSquare),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("~\|"), Token.Nor),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("\|"), Token.Or),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.41 (re.compile("\?"), Token.Existential),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.41 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.48 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.22/0.48 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.32/0.57 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.57 """
% 1.65/1.93 % Version: 1.5
% 1.65/1.93 % SZS status Unsatisfiable
% 1.65/1.93 % SZS output start CNFRefutation
% See solution above
% 1.65/1.93
% 1.65/1.93 % Initial clauses : 14
% 1.65/1.93 % Processed clauses : 199
% 1.65/1.93 % Factors computed : 32
% 1.65/1.93 % Resolvents computed: 5823
% 1.65/1.93 % Tautologies deleted: 2
% 1.65/1.93 % Forward subsumed : 126
% 1.65/1.93 % Backward subsumed : 8
% 1.65/1.93 % -------- CPU Time ---------
% 1.65/1.93 % User time : 1.537 s
% 1.65/1.93 % System time : 0.046 s
% 1.65/1.93 % Total time : 1.583 s
%------------------------------------------------------------------------------