TSTP Solution File: SEU391+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU391+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 08:11:12 EST 2010
% Result : Theorem 5.49s
% Output : CNFRefutation 5.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 4
% Syntax : Number of formulae : 92 ( 10 unt; 0 def)
% Number of atoms : 470 ( 34 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 555 ( 177 ~; 296 |; 64 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 89 ( 0 sgn 51 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(28,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2) ) ),
file('/tmp/tmpQhY5El/sel_SEU391+1.p_1',d3_yellow19) ).
fof(31,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( in(X3,filter_of_net_str(X1,X2))
<=> ( is_eventually_in(X1,X2,X3)
& element(X3,powerset(the_carrier(X1))) ) ) ) ),
file('/tmp/tmpQhY5El/sel_SEU391+1.p_1',t11_yellow19) ).
fof(52,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/tmp/tmpQhY5El/sel_SEU391+1.p_1',t3_subset) ).
fof(70,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X2)
& one_sorted_str(X2)
& ~ empty_carrier(X3)
& net_str(X3,X2) )
=> ( in(X1,a_2_1_yellow19(X2,X3))
<=> ? [X4] :
( element(X4,powerset(the_carrier(X2)))
& X1 = X4
& is_eventually_in(X2,X3,X4) ) ) ),
file('/tmp/tmpQhY5El/sel_SEU391+1.p_1',fraenkel_a_2_1_yellow19) ).
fof(102,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( in(X3,filter_of_net_str(X1,X2))
<=> ( is_eventually_in(X1,X2,X3)
& element(X3,powerset(the_carrier(X1))) ) ) ) ),
inference(assume_negation,[status(cth)],[31]) ).
fof(115,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[28,theory(equality)]) ).
fof(116,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( in(X3,filter_of_net_str(X1,X2))
<=> ( is_eventually_in(X1,X2,X3)
& element(X3,powerset(the_carrier(X1))) ) ) ) ),
inference(fof_simplification,[status(thm)],[102,theory(equality)]) ).
fof(140,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X2)
& one_sorted_str(X2)
& ~ empty_carrier(X3)
& net_str(X3,X2) )
=> ( in(X1,a_2_1_yellow19(X2,X3))
<=> ? [X4] :
( element(X4,powerset(the_carrier(X2)))
& X1 = X4
& is_eventually_in(X2,X3,X4) ) ) ),
inference(fof_simplification,[status(thm)],[70,theory(equality)]) ).
fof(293,plain,
! [X1] :
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ! [X2] :
( empty_carrier(X2)
| ~ net_str(X2,X1)
| filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[115]) ).
fof(294,plain,
! [X3] :
( empty_carrier(X3)
| ~ one_sorted_str(X3)
| ! [X4] :
( empty_carrier(X4)
| ~ net_str(X4,X3)
| filter_of_net_str(X3,X4) = a_2_1_yellow19(X3,X4) ) ),
inference(variable_rename,[status(thm)],[293]) ).
fof(295,plain,
! [X3,X4] :
( empty_carrier(X4)
| ~ net_str(X4,X3)
| filter_of_net_str(X3,X4) = a_2_1_yellow19(X3,X4)
| empty_carrier(X3)
| ~ one_sorted_str(X3) ),
inference(shift_quantors,[status(thm)],[294]) ).
cnf(296,plain,
( empty_carrier(X1)
| filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[295]) ).
fof(303,negated_conjecture,
? [X1] :
( ~ empty_carrier(X1)
& one_sorted_str(X1)
& ? [X2] :
( ~ empty_carrier(X2)
& net_str(X2,X1)
& ? [X3] :
( ( ~ in(X3,filter_of_net_str(X1,X2))
| ~ is_eventually_in(X1,X2,X3)
| ~ element(X3,powerset(the_carrier(X1))) )
& ( in(X3,filter_of_net_str(X1,X2))
| ( is_eventually_in(X1,X2,X3)
& element(X3,powerset(the_carrier(X1))) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[116]) ).
fof(304,negated_conjecture,
? [X4] :
( ~ empty_carrier(X4)
& one_sorted_str(X4)
& ? [X5] :
( ~ empty_carrier(X5)
& net_str(X5,X4)
& ? [X6] :
( ( ~ in(X6,filter_of_net_str(X4,X5))
| ~ is_eventually_in(X4,X5,X6)
| ~ element(X6,powerset(the_carrier(X4))) )
& ( in(X6,filter_of_net_str(X4,X5))
| ( is_eventually_in(X4,X5,X6)
& element(X6,powerset(the_carrier(X4))) ) ) ) ) ),
inference(variable_rename,[status(thm)],[303]) ).
fof(305,negated_conjecture,
( ~ empty_carrier(esk13_0)
& one_sorted_str(esk13_0)
& ~ empty_carrier(esk14_0)
& net_str(esk14_0,esk13_0)
& ( ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| ~ is_eventually_in(esk13_0,esk14_0,esk15_0)
| ~ element(esk15_0,powerset(the_carrier(esk13_0))) )
& ( in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| ( is_eventually_in(esk13_0,esk14_0,esk15_0)
& element(esk15_0,powerset(the_carrier(esk13_0))) ) ) ),
inference(skolemize,[status(esa)],[304]) ).
fof(306,negated_conjecture,
( ~ empty_carrier(esk13_0)
& one_sorted_str(esk13_0)
& ~ empty_carrier(esk14_0)
& net_str(esk14_0,esk13_0)
& ( ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| ~ is_eventually_in(esk13_0,esk14_0,esk15_0)
| ~ element(esk15_0,powerset(the_carrier(esk13_0))) )
& ( is_eventually_in(esk13_0,esk14_0,esk15_0)
| in(esk15_0,filter_of_net_str(esk13_0,esk14_0)) )
& ( element(esk15_0,powerset(the_carrier(esk13_0)))
| in(esk15_0,filter_of_net_str(esk13_0,esk14_0)) ) ),
inference(distribute,[status(thm)],[305]) ).
cnf(307,negated_conjecture,
( in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| element(esk15_0,powerset(the_carrier(esk13_0))) ),
inference(split_conjunct,[status(thm)],[306]) ).
cnf(308,negated_conjecture,
( in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| is_eventually_in(esk13_0,esk14_0,esk15_0) ),
inference(split_conjunct,[status(thm)],[306]) ).
cnf(309,negated_conjecture,
( ~ element(esk15_0,powerset(the_carrier(esk13_0)))
| ~ is_eventually_in(esk13_0,esk14_0,esk15_0)
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0)) ),
inference(split_conjunct,[status(thm)],[306]) ).
cnf(310,negated_conjecture,
net_str(esk14_0,esk13_0),
inference(split_conjunct,[status(thm)],[306]) ).
cnf(311,negated_conjecture,
~ empty_carrier(esk14_0),
inference(split_conjunct,[status(thm)],[306]) ).
cnf(312,negated_conjecture,
one_sorted_str(esk13_0),
inference(split_conjunct,[status(thm)],[306]) ).
cnf(313,negated_conjecture,
~ empty_carrier(esk13_0),
inference(split_conjunct,[status(thm)],[306]) ).
fof(415,plain,
! [X1,X2] :
( ( ~ element(X1,powerset(X2))
| subset(X1,X2) )
& ( ~ subset(X1,X2)
| element(X1,powerset(X2)) ) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(416,plain,
! [X3,X4] :
( ( ~ element(X3,powerset(X4))
| subset(X3,X4) )
& ( ~ subset(X3,X4)
| element(X3,powerset(X4)) ) ),
inference(variable_rename,[status(thm)],[415]) ).
cnf(417,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[416]) ).
cnf(418,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[416]) ).
fof(507,plain,
! [X1,X2,X3] :
( empty_carrier(X2)
| ~ one_sorted_str(X2)
| empty_carrier(X3)
| ~ net_str(X3,X2)
| ( ( ~ in(X1,a_2_1_yellow19(X2,X3))
| ? [X4] :
( element(X4,powerset(the_carrier(X2)))
& X1 = X4
& is_eventually_in(X2,X3,X4) ) )
& ( ! [X4] :
( ~ element(X4,powerset(the_carrier(X2)))
| X1 != X4
| ~ is_eventually_in(X2,X3,X4) )
| in(X1,a_2_1_yellow19(X2,X3)) ) ) ),
inference(fof_nnf,[status(thm)],[140]) ).
fof(508,plain,
! [X5,X6,X7] :
( empty_carrier(X6)
| ~ one_sorted_str(X6)
| empty_carrier(X7)
| ~ net_str(X7,X6)
| ( ( ~ in(X5,a_2_1_yellow19(X6,X7))
| ? [X8] :
( element(X8,powerset(the_carrier(X6)))
& X5 = X8
& is_eventually_in(X6,X7,X8) ) )
& ( ! [X9] :
( ~ element(X9,powerset(the_carrier(X6)))
| X5 != X9
| ~ is_eventually_in(X6,X7,X9) )
| in(X5,a_2_1_yellow19(X6,X7)) ) ) ),
inference(variable_rename,[status(thm)],[507]) ).
fof(509,plain,
! [X5,X6,X7] :
( empty_carrier(X6)
| ~ one_sorted_str(X6)
| empty_carrier(X7)
| ~ net_str(X7,X6)
| ( ( ~ in(X5,a_2_1_yellow19(X6,X7))
| ( element(esk29_3(X5,X6,X7),powerset(the_carrier(X6)))
& X5 = esk29_3(X5,X6,X7)
& is_eventually_in(X6,X7,esk29_3(X5,X6,X7)) ) )
& ( ! [X9] :
( ~ element(X9,powerset(the_carrier(X6)))
| X5 != X9
| ~ is_eventually_in(X6,X7,X9) )
| in(X5,a_2_1_yellow19(X6,X7)) ) ) ),
inference(skolemize,[status(esa)],[508]) ).
fof(510,plain,
! [X5,X6,X7,X9] :
( ( ( ~ element(X9,powerset(the_carrier(X6)))
| X5 != X9
| ~ is_eventually_in(X6,X7,X9)
| in(X5,a_2_1_yellow19(X6,X7)) )
& ( ~ in(X5,a_2_1_yellow19(X6,X7))
| ( element(esk29_3(X5,X6,X7),powerset(the_carrier(X6)))
& X5 = esk29_3(X5,X6,X7)
& is_eventually_in(X6,X7,esk29_3(X5,X6,X7)) ) ) )
| empty_carrier(X6)
| ~ one_sorted_str(X6)
| empty_carrier(X7)
| ~ net_str(X7,X6) ),
inference(shift_quantors,[status(thm)],[509]) ).
fof(511,plain,
! [X5,X6,X7,X9] :
( ( ~ element(X9,powerset(the_carrier(X6)))
| X5 != X9
| ~ is_eventually_in(X6,X7,X9)
| in(X5,a_2_1_yellow19(X6,X7))
| empty_carrier(X6)
| ~ one_sorted_str(X6)
| empty_carrier(X7)
| ~ net_str(X7,X6) )
& ( element(esk29_3(X5,X6,X7),powerset(the_carrier(X6)))
| ~ in(X5,a_2_1_yellow19(X6,X7))
| empty_carrier(X6)
| ~ one_sorted_str(X6)
| empty_carrier(X7)
| ~ net_str(X7,X6) )
& ( X5 = esk29_3(X5,X6,X7)
| ~ in(X5,a_2_1_yellow19(X6,X7))
| empty_carrier(X6)
| ~ one_sorted_str(X6)
| empty_carrier(X7)
| ~ net_str(X7,X6) )
& ( is_eventually_in(X6,X7,esk29_3(X5,X6,X7))
| ~ in(X5,a_2_1_yellow19(X6,X7))
| empty_carrier(X6)
| ~ one_sorted_str(X6)
| empty_carrier(X7)
| ~ net_str(X7,X6) ) ),
inference(distribute,[status(thm)],[510]) ).
cnf(512,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,esk29_3(X3,X2,X1))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2)
| ~ in(X3,a_2_1_yellow19(X2,X1)) ),
inference(split_conjunct,[status(thm)],[511]) ).
cnf(513,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = esk29_3(X3,X2,X1)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2)
| ~ in(X3,a_2_1_yellow19(X2,X1)) ),
inference(split_conjunct,[status(thm)],[511]) ).
cnf(514,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk29_3(X3,X2,X1),powerset(the_carrier(X2)))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2)
| ~ in(X3,a_2_1_yellow19(X2,X1)) ),
inference(split_conjunct,[status(thm)],[511]) ).
cnf(515,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,a_2_1_yellow19(X2,X1))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2)
| ~ is_eventually_in(X2,X1,X4)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[511]) ).
cnf(1075,plain,
( esk29_3(X1,X2,X3) = X1
| empty_carrier(X3)
| empty_carrier(X2)
| ~ net_str(X3,X2)
| ~ one_sorted_str(X2)
| ~ in(X1,filter_of_net_str(X2,X3)) ),
inference(spm,[status(thm)],[513,296,theory(equality)]) ).
cnf(1102,plain,
( in(X1,a_2_1_yellow19(X2,X3))
| empty_carrier(X3)
| empty_carrier(X2)
| ~ is_eventually_in(X2,X3,X1)
| ~ net_str(X3,X2)
| ~ one_sorted_str(X2)
| ~ element(X1,powerset(the_carrier(X2))) ),
inference(er,[status(thm)],[515,theory(equality)]) ).
cnf(3042,negated_conjecture,
( esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| is_eventually_in(esk13_0,esk14_0,esk15_0)
| ~ net_str(esk14_0,esk13_0)
| ~ one_sorted_str(esk13_0) ),
inference(spm,[status(thm)],[1075,308,theory(equality)]) ).
cnf(3043,negated_conjecture,
( esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| element(esk15_0,powerset(the_carrier(esk13_0)))
| ~ net_str(esk14_0,esk13_0)
| ~ one_sorted_str(esk13_0) ),
inference(spm,[status(thm)],[1075,307,theory(equality)]) ).
cnf(3053,negated_conjecture,
( esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| is_eventually_in(esk13_0,esk14_0,esk15_0)
| $false
| ~ one_sorted_str(esk13_0) ),
inference(rw,[status(thm)],[3042,310,theory(equality)]) ).
cnf(3054,negated_conjecture,
( esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| is_eventually_in(esk13_0,esk14_0,esk15_0)
| $false
| $false ),
inference(rw,[status(thm)],[3053,312,theory(equality)]) ).
cnf(3055,negated_conjecture,
( esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| is_eventually_in(esk13_0,esk14_0,esk15_0) ),
inference(cn,[status(thm)],[3054,theory(equality)]) ).
cnf(3056,negated_conjecture,
( esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0
| empty_carrier(esk14_0)
| is_eventually_in(esk13_0,esk14_0,esk15_0) ),
inference(sr,[status(thm)],[3055,313,theory(equality)]) ).
cnf(3057,negated_conjecture,
( esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0
| is_eventually_in(esk13_0,esk14_0,esk15_0) ),
inference(sr,[status(thm)],[3056,311,theory(equality)]) ).
cnf(3058,negated_conjecture,
( esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| element(esk15_0,powerset(the_carrier(esk13_0)))
| $false
| ~ one_sorted_str(esk13_0) ),
inference(rw,[status(thm)],[3043,310,theory(equality)]) ).
cnf(3059,negated_conjecture,
( esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| element(esk15_0,powerset(the_carrier(esk13_0)))
| $false
| $false ),
inference(rw,[status(thm)],[3058,312,theory(equality)]) ).
cnf(3060,negated_conjecture,
( esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| element(esk15_0,powerset(the_carrier(esk13_0))) ),
inference(cn,[status(thm)],[3059,theory(equality)]) ).
cnf(3061,negated_conjecture,
( esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0
| empty_carrier(esk14_0)
| element(esk15_0,powerset(the_carrier(esk13_0))) ),
inference(sr,[status(thm)],[3060,313,theory(equality)]) ).
cnf(3062,negated_conjecture,
( esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0
| element(esk15_0,powerset(the_carrier(esk13_0))) ),
inference(sr,[status(thm)],[3061,311,theory(equality)]) ).
cnf(3063,negated_conjecture,
( is_eventually_in(esk13_0,esk14_0,esk15_0)
| empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| ~ net_str(esk14_0,esk13_0)
| ~ one_sorted_str(esk13_0)
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(spm,[status(thm)],[512,3057,theory(equality)]) ).
cnf(3065,negated_conjecture,
( is_eventually_in(esk13_0,esk14_0,esk15_0)
| empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| $false
| ~ one_sorted_str(esk13_0)
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(rw,[status(thm)],[3063,310,theory(equality)]) ).
cnf(3066,negated_conjecture,
( is_eventually_in(esk13_0,esk14_0,esk15_0)
| empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| $false
| $false
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(rw,[status(thm)],[3065,312,theory(equality)]) ).
cnf(3067,negated_conjecture,
( is_eventually_in(esk13_0,esk14_0,esk15_0)
| empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(cn,[status(thm)],[3066,theory(equality)]) ).
cnf(3068,negated_conjecture,
( is_eventually_in(esk13_0,esk14_0,esk15_0)
| empty_carrier(esk13_0)
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(sr,[status(thm)],[3067,311,theory(equality)]) ).
cnf(3069,negated_conjecture,
( is_eventually_in(esk13_0,esk14_0,esk15_0)
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(sr,[status(thm)],[3068,313,theory(equality)]) ).
cnf(3075,negated_conjecture,
( subset(esk15_0,the_carrier(esk13_0))
| esk29_3(esk15_0,esk13_0,esk14_0) = esk15_0 ),
inference(spm,[status(thm)],[418,3062,theory(equality)]) ).
cnf(3082,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| subset(esk15_0,the_carrier(esk13_0))
| ~ net_str(esk14_0,esk13_0)
| ~ one_sorted_str(esk13_0)
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(spm,[status(thm)],[514,3075,theory(equality)]) ).
cnf(3088,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| subset(esk15_0,the_carrier(esk13_0))
| $false
| ~ one_sorted_str(esk13_0)
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(rw,[status(thm)],[3082,310,theory(equality)]) ).
cnf(3089,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| subset(esk15_0,the_carrier(esk13_0))
| $false
| $false
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(rw,[status(thm)],[3088,312,theory(equality)]) ).
cnf(3090,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| subset(esk15_0,the_carrier(esk13_0))
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(cn,[status(thm)],[3089,theory(equality)]) ).
cnf(3091,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| empty_carrier(esk13_0)
| subset(esk15_0,the_carrier(esk13_0))
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(sr,[status(thm)],[3090,311,theory(equality)]) ).
cnf(3092,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| subset(esk15_0,the_carrier(esk13_0))
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(sr,[status(thm)],[3091,313,theory(equality)]) ).
cnf(3094,negated_conjecture,
( is_eventually_in(esk13_0,esk14_0,esk15_0)
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| ~ net_str(esk14_0,esk13_0)
| ~ one_sorted_str(esk13_0) ),
inference(spm,[status(thm)],[3069,296,theory(equality)]) ).
cnf(3095,negated_conjecture,
( is_eventually_in(esk13_0,esk14_0,esk15_0)
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| $false
| ~ one_sorted_str(esk13_0) ),
inference(rw,[status(thm)],[3094,310,theory(equality)]) ).
cnf(3096,negated_conjecture,
( is_eventually_in(esk13_0,esk14_0,esk15_0)
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| $false
| $false ),
inference(rw,[status(thm)],[3095,312,theory(equality)]) ).
cnf(3097,negated_conjecture,
( is_eventually_in(esk13_0,esk14_0,esk15_0)
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0)) ),
inference(cn,[status(thm)],[3096,theory(equality)]) ).
cnf(3098,negated_conjecture,
( is_eventually_in(esk13_0,esk14_0,esk15_0)
| empty_carrier(esk14_0)
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0)) ),
inference(sr,[status(thm)],[3097,313,theory(equality)]) ).
cnf(3099,negated_conjecture,
( is_eventually_in(esk13_0,esk14_0,esk15_0)
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0)) ),
inference(sr,[status(thm)],[3098,311,theory(equality)]) ).
cnf(3100,negated_conjecture,
is_eventually_in(esk13_0,esk14_0,esk15_0),
inference(csr,[status(thm)],[3099,308]) ).
cnf(3119,negated_conjecture,
( $false
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| ~ element(esk15_0,powerset(the_carrier(esk13_0))) ),
inference(rw,[status(thm)],[309,3100,theory(equality)]) ).
cnf(3120,negated_conjecture,
( ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| ~ element(esk15_0,powerset(the_carrier(esk13_0))) ),
inference(cn,[status(thm)],[3119,theory(equality)]) ).
cnf(3208,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| ~ in(esk15_0,a_2_1_yellow19(esk13_0,esk14_0)) ),
inference(csr,[status(thm)],[3092,417]) ).
cnf(3210,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| ~ net_str(esk14_0,esk13_0)
| ~ one_sorted_str(esk13_0) ),
inference(spm,[status(thm)],[3208,296,theory(equality)]) ).
cnf(3211,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| $false
| ~ one_sorted_str(esk13_0) ),
inference(rw,[status(thm)],[3210,310,theory(equality)]) ).
cnf(3212,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| $false
| $false ),
inference(rw,[status(thm)],[3211,312,theory(equality)]) ).
cnf(3213,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| empty_carrier(esk13_0)
| empty_carrier(esk14_0)
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0)) ),
inference(cn,[status(thm)],[3212,theory(equality)]) ).
cnf(3214,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| empty_carrier(esk14_0)
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0)) ),
inference(sr,[status(thm)],[3213,313,theory(equality)]) ).
cnf(3215,negated_conjecture,
( element(esk15_0,powerset(the_carrier(esk13_0)))
| ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0)) ),
inference(sr,[status(thm)],[3214,311,theory(equality)]) ).
cnf(3216,negated_conjecture,
element(esk15_0,powerset(the_carrier(esk13_0))),
inference(csr,[status(thm)],[3215,307]) ).
cnf(3223,negated_conjecture,
( ~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0))
| $false ),
inference(rw,[status(thm)],[3120,3216,theory(equality)]) ).
cnf(3224,negated_conjecture,
~ in(esk15_0,filter_of_net_str(esk13_0,esk14_0)),
inference(cn,[status(thm)],[3223,theory(equality)]) ).
cnf(3481,plain,
( in(X1,filter_of_net_str(X2,X3))
| empty_carrier(X2)
| empty_carrier(X3)
| ~ is_eventually_in(X2,X3,X1)
| ~ net_str(X3,X2)
| ~ one_sorted_str(X2)
| ~ element(X1,powerset(the_carrier(X2))) ),
inference(spm,[status(thm)],[1102,296,theory(equality)]) ).
cnf(58453,negated_conjecture,
( empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| ~ is_eventually_in(esk13_0,esk14_0,esk15_0)
| ~ net_str(esk14_0,esk13_0)
| ~ one_sorted_str(esk13_0)
| ~ element(esk15_0,powerset(the_carrier(esk13_0))) ),
inference(spm,[status(thm)],[3224,3481,theory(equality)]) ).
cnf(58465,negated_conjecture,
( empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| $false
| ~ net_str(esk14_0,esk13_0)
| ~ one_sorted_str(esk13_0)
| ~ element(esk15_0,powerset(the_carrier(esk13_0))) ),
inference(rw,[status(thm)],[58453,3100,theory(equality)]) ).
cnf(58466,negated_conjecture,
( empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| $false
| $false
| ~ one_sorted_str(esk13_0)
| ~ element(esk15_0,powerset(the_carrier(esk13_0))) ),
inference(rw,[status(thm)],[58465,310,theory(equality)]) ).
cnf(58467,negated_conjecture,
( empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| $false
| $false
| $false
| ~ element(esk15_0,powerset(the_carrier(esk13_0))) ),
inference(rw,[status(thm)],[58466,312,theory(equality)]) ).
cnf(58468,negated_conjecture,
( empty_carrier(esk14_0)
| empty_carrier(esk13_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[58467,3216,theory(equality)]) ).
cnf(58469,negated_conjecture,
( empty_carrier(esk14_0)
| empty_carrier(esk13_0) ),
inference(cn,[status(thm)],[58468,theory(equality)]) ).
cnf(58470,negated_conjecture,
empty_carrier(esk13_0),
inference(sr,[status(thm)],[58469,311,theory(equality)]) ).
cnf(58471,negated_conjecture,
$false,
inference(sr,[status(thm)],[58470,313,theory(equality)]) ).
cnf(58472,negated_conjecture,
$false,
58471,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU391+1.p
% --creating new selector for []
% -running prover on /tmp/tmpQhY5El/sel_SEU391+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU391+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU391+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU391+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------