%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL430-2 : 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 12:58:29 PM UTC 2026
% Result : Unsatisfiable 0.32s 0.60s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 10 unt; 0 nHn; 9 RR)
% Number of literals : 27 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 44 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_5,negated_conjecture,
~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_PropLog_Oinsert__Diff__subset2_0,axiom,
c_lessequals(c_minus(c_insert(X14,c_minus(X13,c_insert(X15,c_emptyset,X17),tc_set(X17)),X17),X16,tc_set(X17)),c_insert(X14,c_minus(X13,c_insert(X15,X16,X17),tc_set(X17)),X17),tc_set(X17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__subset2_0) ).
cnf(cls_PropLog_Oweaken__left_0,axiom,
( ~ c_in(X6,c_PropLog_Othms(X8,X9),tc_PropLog_Opl(X9))
| ~ c_lessequals(X8,X7,tc_set(tc_PropLog_Opl(X9)))
| c_in(X6,c_PropLog_Othms(X7,X9),tc_PropLog_Opl(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X10,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_PropLog_ODiff__weaken__left_0,axiom,
( ~ c_in(X20,c_PropLog_Othms(c_minus(X21,X19,tc_set(tc_PropLog_Opl(X22))),X22),tc_PropLog_Opl(X22))
| ~ c_lessequals(X21,X18,tc_set(tc_PropLog_Opl(X22)))
| c_in(X20,c_PropLog_Othms(c_minus(X18,X19,tc_set(tc_PropLog_Opl(X22))),X22),tc_PropLog_Opl(X22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_ODiff__weaken__left_0) ).
cnf(c2,plain,
( ~ c_lessequals(c_PropLog_Ohyps(v_p,X24,t_a),X23,tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(c_minus(X23,v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[cls_PropLog_ODiff__weaken__left_0,cls_conjecture_3]) ).
cnf(cls_PropLog_Ohyps__insert_0,axiom,
c_lessequals(c_PropLog_Ohyps(X31,c_insert(X33,X32,X34),X34),c_insert(c_PropLog_Opl_Ovar(X33,X34),c_minus(c_PropLog_Ohyps(X31,X32,X34),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X33,X34),c_PropLog_Opl_Ofalse,X34),c_emptyset,tc_PropLog_Opl(X34)),tc_set(tc_PropLog_Opl(X34))),tc_PropLog_Opl(X34)),tc_set(tc_PropLog_Opl(X34))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ohyps__insert_0) ).
cnf(c5,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Ovar(X39,t_a),c_minus(c_PropLog_Ohyps(v_p,X38,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X39,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[cls_PropLog_Ohyps__insert_0,c2]) ).
cnf(c6,plain,
( ~ c_lessequals(c_minus(c_insert(c_PropLog_Opl_Ovar(X40,t_a),c_minus(c_PropLog_Ohyps(v_p,X41,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X40,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),X42,tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(X42,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[c5,cls_PropLog_Oweaken__left_0]) ).
cnf(c8,plain,
c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(X44,t_a),c_minus(c_PropLog_Ohyps(v_p,X43,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X44,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c6,cls_PropLog_Oinsert__Diff__subset2_0]) ).
cnf(cls_PropLog_Oinsert__Diff__same_0,axiom,
c_lessequals(c_minus(X2,X3,tc_set(X5)),c_insert(X4,c_minus(X2,c_insert(X4,X3,X5),tc_set(X5)),X5),tc_set(X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__same_0) ).
cnf(c0,plain,
( ~ c_lessequals(c_minus(c_PropLog_Ohyps(v_p,X12,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),X11,tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(X11,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[cls_conjecture_3,cls_PropLog_Oweaken__left_0]) ).
cnf(c1,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X26,c_minus(c_PropLog_Ohyps(v_p,X25,t_a),c_insert(X26,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c0,cls_PropLog_Oinsert__Diff__same_0]) ).
cnf(cls_PropLog_Othms__excluded__middle__rule_0,axiom,
( ~ c_in(X29,c_PropLog_Othms(c_insert(X27,X28,tc_PropLog_Opl(X30)),X30),tc_PropLog_Opl(X30))
| ~ c_in(X29,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X27,c_PropLog_Opl_Ofalse,X30),X28,tc_PropLog_Opl(X30)),X30),tc_PropLog_Opl(X30))
| c_in(X29,c_PropLog_Othms(X28,X30),tc_PropLog_Opl(X30)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle__rule_0) ).
cnf(c4,plain,
( ~ c_in(v_p,c_PropLog_Othms(c_insert(X52,c_minus(c_PropLog_Ohyps(v_p,X51,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X52,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X51,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X52,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[cls_PropLog_Othms__excluded__middle__rule_0,c1]) ).
cnf(c11,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X53,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X54,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c4,c8]) ).
cnf(c12,plain,
$false,
inference(resolution,[status(thm)],[c11,cls_conjecture_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL430-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.07/0.34 % Computer : n013.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 4 19:40:50 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.40 (re.compile("\."), Token.FullStop),
% 0.13/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.40 (re.compile("\("), Token.OpenPar),
% 0.13/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.40 (re.compile("\)"), Token.ClosePar),
% 0.13/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.40 (re.compile("\["), Token.OpenSquare),
% 0.13/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.40 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.40 (re.compile("~\|"), Token.Nor),
% 0.13/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.40 (re.compile("\|"), Token.Or),
% 0.13/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.40 (re.compile("\?"), Token.Existential),
% 0.13/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.40 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.40 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.47 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.47 """
% 0.23/0.47 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.47 """
% 0.32/0.56 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.56 """
% 0.32/0.60 % Version: 1.5
% 0.32/0.60 % SZS status Unsatisfiable
% 0.32/0.60 % SZS output start CNFRefutation
% See solution above
% 0.32/0.60
% 0.32/0.60 % Initial clauses : 8
% 0.32/0.60 % Processed clauses : 19
% 0.32/0.60 % Factors computed : 0
% 0.32/0.60 % Resolvents computed: 15
% 0.32/0.60 % Tautologies deleted: 0
% 0.32/0.60 % Forward subsumed : 0
% 0.32/0.60 % Backward subsumed : 0
% 0.32/0.60 % -------- CPU Time ---------
% 0.32/0.60 % User time : 0.234 s
% 0.32/0.60 % System time : 0.018 s
% 0.32/0.60 % Total time : 0.252 s
%------------------------------------------------------------------------------