TSTP Solution File: SEU407+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU407+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 08:28:38 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 78 ( 13 unt; 0 def)
% Number of atoms : 360 ( 52 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 468 ( 186 ~; 185 |; 75 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-6 aty)
% Number of variables : 123 ( 0 sgn 83 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1,X2] : k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
file('/tmp/tmprmwY2Y/sel_SEU407+1.p_1',t39_xboole_1) ).
fof(5,axiom,
! [X1,X2] :
( ( l1_orders_2(X1)
& l1_orders_2(X2) )
=> ( v1_orders_2(k1_latsum_1(X1,X2))
& l1_orders_2(k1_latsum_1(X1,X2)) ) ),
file('/tmp/tmprmwY2Y/sel_SEU407+1.p_1',dt_k1_latsum_1) ).
fof(21,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/tmp/tmprmwY2Y/sel_SEU407+1.p_1',fc1_struct_0) ).
fof(33,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmprmwY2Y/sel_SEU407+1.p_1',dt_l1_orders_2) ).
fof(35,axiom,
! [X1,X2,X3] :
( X3 = k2_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
| r2_hidden(X4,X2) ) ) ),
file('/tmp/tmprmwY2Y/sel_SEU407+1.p_1',d2_xboole_0) ).
fof(37,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/tmp/tmprmwY2Y/sel_SEU407+1.p_1',t2_subset) ).
fof(42,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
=> ( r2_hidden(X3,u1_struct_0(X1))
| r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1))) ) ) ) ),
file('/tmp/tmprmwY2Y/sel_SEU407+1.p_1',t7_latsum_1) ).
fof(43,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& l1_orders_2(X2) )
=> ( ~ v3_struct_0(k1_latsum_1(X1,X2))
& v1_orders_2(k1_latsum_1(X1,X2)) ) ),
file('/tmp/tmprmwY2Y/sel_SEU407+1.p_1',fc2_latsum_1) ).
fof(45,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3] :
( ( v1_orders_2(X3)
& l1_orders_2(X3) )
=> ( X3 = k1_latsum_1(X1,X2)
<=> ( u1_struct_0(X3) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
& u1_orders_2(X3) = k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2))) ) ) ) ) ),
file('/tmp/tmprmwY2Y/sel_SEU407+1.p_1',d2_latsum_1) ).
fof(56,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
=> ( r2_hidden(X3,u1_struct_0(X1))
| r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1))) ) ) ) ),
inference(assume_negation,[status(cth)],[42]) ).
fof(60,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).
fof(63,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
=> ( r2_hidden(X3,u1_struct_0(X1))
| r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1))) ) ) ) ),
inference(fof_simplification,[status(thm)],[56,theory(equality)]) ).
fof(64,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& l1_orders_2(X2) )
=> ( ~ v3_struct_0(k1_latsum_1(X1,X2))
& v1_orders_2(k1_latsum_1(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).
fof(73,plain,
! [X3,X4] : k2_xboole_0(X3,k4_xboole_0(X4,X3)) = k2_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[4]) ).
cnf(74,plain,
k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[73]) ).
fof(75,plain,
! [X1,X2] :
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ( v1_orders_2(k1_latsum_1(X1,X2))
& l1_orders_2(k1_latsum_1(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(76,plain,
! [X3,X4] :
( ~ l1_orders_2(X3)
| ~ l1_orders_2(X4)
| ( v1_orders_2(k1_latsum_1(X3,X4))
& l1_orders_2(k1_latsum_1(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[75]) ).
fof(77,plain,
! [X3,X4] :
( ( v1_orders_2(k1_latsum_1(X3,X4))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X4) )
& ( l1_orders_2(k1_latsum_1(X3,X4))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X4) ) ),
inference(distribute,[status(thm)],[76]) ).
cnf(78,plain,
( l1_orders_2(k1_latsum_1(X2,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[77]) ).
cnf(79,plain,
( v1_orders_2(k1_latsum_1(X2,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[77]) ).
fof(124,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(125,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[124]) ).
cnf(126,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[125]) ).
fof(153,plain,
! [X1] :
( ~ l1_orders_2(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(154,plain,
! [X2] :
( ~ l1_orders_2(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[153]) ).
cnf(155,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[154]) ).
fof(161,plain,
! [X1,X2,X3] :
( ( X3 != k2_xboole_0(X1,X2)
| ! [X4] :
( ( ~ r2_hidden(X4,X3)
| r2_hidden(X4,X1)
| r2_hidden(X4,X2) )
& ( ( ~ r2_hidden(X4,X1)
& ~ r2_hidden(X4,X2) )
| r2_hidden(X4,X3) ) ) )
& ( ? [X4] :
( ( ~ r2_hidden(X4,X3)
| ( ~ r2_hidden(X4,X1)
& ~ r2_hidden(X4,X2) ) )
& ( r2_hidden(X4,X3)
| r2_hidden(X4,X1)
| r2_hidden(X4,X2) ) )
| X3 = k2_xboole_0(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(162,plain,
! [X5,X6,X7] :
( ( X7 != k2_xboole_0(X5,X6)
| ! [X8] :
( ( ~ r2_hidden(X8,X7)
| r2_hidden(X8,X5)
| r2_hidden(X8,X6) )
& ( ( ~ r2_hidden(X8,X5)
& ~ r2_hidden(X8,X6) )
| r2_hidden(X8,X7) ) ) )
& ( ? [X9] :
( ( ~ r2_hidden(X9,X7)
| ( ~ r2_hidden(X9,X5)
& ~ r2_hidden(X9,X6) ) )
& ( r2_hidden(X9,X7)
| r2_hidden(X9,X5)
| r2_hidden(X9,X6) ) )
| X7 = k2_xboole_0(X5,X6) ) ),
inference(variable_rename,[status(thm)],[161]) ).
fof(163,plain,
! [X5,X6,X7] :
( ( X7 != k2_xboole_0(X5,X6)
| ! [X8] :
( ( ~ r2_hidden(X8,X7)
| r2_hidden(X8,X5)
| r2_hidden(X8,X6) )
& ( ( ~ r2_hidden(X8,X5)
& ~ r2_hidden(X8,X6) )
| r2_hidden(X8,X7) ) ) )
& ( ( ( ~ r2_hidden(esk5_3(X5,X6,X7),X7)
| ( ~ r2_hidden(esk5_3(X5,X6,X7),X5)
& ~ r2_hidden(esk5_3(X5,X6,X7),X6) ) )
& ( r2_hidden(esk5_3(X5,X6,X7),X7)
| r2_hidden(esk5_3(X5,X6,X7),X5)
| r2_hidden(esk5_3(X5,X6,X7),X6) ) )
| X7 = k2_xboole_0(X5,X6) ) ),
inference(skolemize,[status(esa)],[162]) ).
fof(164,plain,
! [X5,X6,X7,X8] :
( ( ( ( ~ r2_hidden(X8,X7)
| r2_hidden(X8,X5)
| r2_hidden(X8,X6) )
& ( ( ~ r2_hidden(X8,X5)
& ~ r2_hidden(X8,X6) )
| r2_hidden(X8,X7) ) )
| X7 != k2_xboole_0(X5,X6) )
& ( ( ( ~ r2_hidden(esk5_3(X5,X6,X7),X7)
| ( ~ r2_hidden(esk5_3(X5,X6,X7),X5)
& ~ r2_hidden(esk5_3(X5,X6,X7),X6) ) )
& ( r2_hidden(esk5_3(X5,X6,X7),X7)
| r2_hidden(esk5_3(X5,X6,X7),X5)
| r2_hidden(esk5_3(X5,X6,X7),X6) ) )
| X7 = k2_xboole_0(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[163]) ).
fof(165,plain,
! [X5,X6,X7,X8] :
( ( ~ r2_hidden(X8,X7)
| r2_hidden(X8,X5)
| r2_hidden(X8,X6)
| X7 != k2_xboole_0(X5,X6) )
& ( ~ r2_hidden(X8,X5)
| r2_hidden(X8,X7)
| X7 != k2_xboole_0(X5,X6) )
& ( ~ r2_hidden(X8,X6)
| r2_hidden(X8,X7)
| X7 != k2_xboole_0(X5,X6) )
& ( ~ r2_hidden(esk5_3(X5,X6,X7),X5)
| ~ r2_hidden(esk5_3(X5,X6,X7),X7)
| X7 = k2_xboole_0(X5,X6) )
& ( ~ r2_hidden(esk5_3(X5,X6,X7),X6)
| ~ r2_hidden(esk5_3(X5,X6,X7),X7)
| X7 = k2_xboole_0(X5,X6) )
& ( r2_hidden(esk5_3(X5,X6,X7),X7)
| r2_hidden(esk5_3(X5,X6,X7),X5)
| r2_hidden(esk5_3(X5,X6,X7),X6)
| X7 = k2_xboole_0(X5,X6) ) ),
inference(distribute,[status(thm)],[164]) ).
cnf(171,plain,
( r2_hidden(X4,X3)
| r2_hidden(X4,X2)
| X1 != k2_xboole_0(X2,X3)
| ~ r2_hidden(X4,X1) ),
inference(split_conjunct,[status(thm)],[165]) ).
fof(175,plain,
! [X1,X2] :
( ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(176,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[175]) ).
cnf(177,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[176]) ).
fof(187,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ? [X2] :
( ~ v3_struct_0(X2)
& l1_orders_2(X2)
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
& ~ r2_hidden(X3,u1_struct_0(X1))
& ~ r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1))) ) ) ),
inference(fof_nnf,[status(thm)],[63]) ).
fof(188,negated_conjecture,
? [X4] :
( ~ v3_struct_0(X4)
& l1_orders_2(X4)
& ? [X5] :
( ~ v3_struct_0(X5)
& l1_orders_2(X5)
& ? [X6] :
( m1_subset_1(X6,u1_struct_0(k1_latsum_1(X4,X5)))
& ~ r2_hidden(X6,u1_struct_0(X4))
& ~ r2_hidden(X6,k4_xboole_0(u1_struct_0(X5),u1_struct_0(X4))) ) ) ),
inference(variable_rename,[status(thm)],[187]) ).
fof(189,negated_conjecture,
( ~ v3_struct_0(esk7_0)
& l1_orders_2(esk7_0)
& ~ v3_struct_0(esk8_0)
& l1_orders_2(esk8_0)
& m1_subset_1(esk9_0,u1_struct_0(k1_latsum_1(esk7_0,esk8_0)))
& ~ r2_hidden(esk9_0,u1_struct_0(esk7_0))
& ~ r2_hidden(esk9_0,k4_xboole_0(u1_struct_0(esk8_0),u1_struct_0(esk7_0))) ),
inference(skolemize,[status(esa)],[188]) ).
cnf(190,negated_conjecture,
~ r2_hidden(esk9_0,k4_xboole_0(u1_struct_0(esk8_0),u1_struct_0(esk7_0))),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(191,negated_conjecture,
~ r2_hidden(esk9_0,u1_struct_0(esk7_0)),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(192,negated_conjecture,
m1_subset_1(esk9_0,u1_struct_0(k1_latsum_1(esk7_0,esk8_0))),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(193,negated_conjecture,
l1_orders_2(esk8_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(195,negated_conjecture,
l1_orders_2(esk7_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(196,negated_conjecture,
~ v3_struct_0(esk7_0),
inference(split_conjunct,[status(thm)],[189]) ).
fof(197,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ( ~ v3_struct_0(k1_latsum_1(X1,X2))
& v1_orders_2(k1_latsum_1(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[64]) ).
fof(198,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X4)
| ( ~ v3_struct_0(k1_latsum_1(X3,X4))
& v1_orders_2(k1_latsum_1(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[197]) ).
fof(199,plain,
! [X3,X4] :
( ( ~ v3_struct_0(k1_latsum_1(X3,X4))
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X4) )
& ( v1_orders_2(k1_latsum_1(X3,X4))
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X4) ) ),
inference(distribute,[status(thm)],[198]) ).
cnf(201,plain,
( v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_struct_0(k1_latsum_1(X2,X1)) ),
inference(split_conjunct,[status(thm)],[199]) ).
fof(208,plain,
! [X1] :
( ~ l1_orders_2(X1)
| ! [X2] :
( ~ l1_orders_2(X2)
| ! [X3] :
( ~ v1_orders_2(X3)
| ~ l1_orders_2(X3)
| ( ( X3 != k1_latsum_1(X1,X2)
| ( u1_struct_0(X3) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
& u1_orders_2(X3) = k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2))) ) )
& ( u1_struct_0(X3) != k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
| u1_orders_2(X3) != k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2)))
| X3 = k1_latsum_1(X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(209,plain,
! [X4] :
( ~ l1_orders_2(X4)
| ! [X5] :
( ~ l1_orders_2(X5)
| ! [X6] :
( ~ v1_orders_2(X6)
| ~ l1_orders_2(X6)
| ( ( X6 != k1_latsum_1(X4,X5)
| ( u1_struct_0(X6) = k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
& u1_orders_2(X6) = k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5))) ) )
& ( u1_struct_0(X6) != k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
| u1_orders_2(X6) != k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))
| X6 = k1_latsum_1(X4,X5) ) ) ) ) ),
inference(variable_rename,[status(thm)],[208]) ).
fof(210,plain,
! [X4,X5,X6] :
( ~ v1_orders_2(X6)
| ~ l1_orders_2(X6)
| ( ( X6 != k1_latsum_1(X4,X5)
| ( u1_struct_0(X6) = k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
& u1_orders_2(X6) = k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5))) ) )
& ( u1_struct_0(X6) != k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
| u1_orders_2(X6) != k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))
| X6 = k1_latsum_1(X4,X5) ) )
| ~ l1_orders_2(X5)
| ~ l1_orders_2(X4) ),
inference(shift_quantors,[status(thm)],[209]) ).
fof(211,plain,
! [X4,X5,X6] :
( ( u1_struct_0(X6) = k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
| X6 != k1_latsum_1(X4,X5)
| ~ v1_orders_2(X6)
| ~ l1_orders_2(X6)
| ~ l1_orders_2(X5)
| ~ l1_orders_2(X4) )
& ( u1_orders_2(X6) = k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))
| X6 != k1_latsum_1(X4,X5)
| ~ v1_orders_2(X6)
| ~ l1_orders_2(X6)
| ~ l1_orders_2(X5)
| ~ l1_orders_2(X4) )
& ( u1_struct_0(X6) != k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
| u1_orders_2(X6) != k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))
| X6 = k1_latsum_1(X4,X5)
| ~ v1_orders_2(X6)
| ~ l1_orders_2(X6)
| ~ l1_orders_2(X5)
| ~ l1_orders_2(X4) ) ),
inference(distribute,[status(thm)],[210]) ).
cnf(214,plain,
( u1_struct_0(X3) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v1_orders_2(X3)
| X3 != k1_latsum_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[211]) ).
cnf(250,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_latsum_1(esk7_0,esk8_0)))
| r2_hidden(esk9_0,u1_struct_0(k1_latsum_1(esk7_0,esk8_0))) ),
inference(spm,[status(thm)],[177,192,theory(equality)]) ).
cnf(255,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[126,155,theory(equality)]) ).
cnf(308,plain,
( r2_hidden(X1,X2)
| r2_hidden(X1,X3)
| ~ r2_hidden(X1,k2_xboole_0(X2,X3)) ),
inference(er,[status(thm)],[171,theory(equality)]) ).
cnf(323,plain,
( k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) = u1_struct_0(k1_latsum_1(X1,X2))
| ~ v1_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(er,[status(thm)],[214,theory(equality)]) ).
cnf(390,negated_conjecture,
( v3_struct_0(k1_latsum_1(esk7_0,esk8_0))
| r2_hidden(esk9_0,u1_struct_0(k1_latsum_1(esk7_0,esk8_0)))
| ~ l1_orders_2(k1_latsum_1(esk7_0,esk8_0)) ),
inference(spm,[status(thm)],[255,250,theory(equality)]) ).
cnf(400,negated_conjecture,
( v3_struct_0(esk7_0)
| r2_hidden(esk9_0,u1_struct_0(k1_latsum_1(esk7_0,esk8_0)))
| ~ l1_orders_2(esk7_0)
| ~ l1_orders_2(esk8_0)
| ~ l1_orders_2(k1_latsum_1(esk7_0,esk8_0)) ),
inference(spm,[status(thm)],[201,390,theory(equality)]) ).
cnf(402,negated_conjecture,
( v3_struct_0(esk7_0)
| r2_hidden(esk9_0,u1_struct_0(k1_latsum_1(esk7_0,esk8_0)))
| $false
| ~ l1_orders_2(esk8_0)
| ~ l1_orders_2(k1_latsum_1(esk7_0,esk8_0)) ),
inference(rw,[status(thm)],[400,195,theory(equality)]) ).
cnf(403,negated_conjecture,
( v3_struct_0(esk7_0)
| r2_hidden(esk9_0,u1_struct_0(k1_latsum_1(esk7_0,esk8_0)))
| $false
| $false
| ~ l1_orders_2(k1_latsum_1(esk7_0,esk8_0)) ),
inference(rw,[status(thm)],[402,193,theory(equality)]) ).
cnf(404,negated_conjecture,
( v3_struct_0(esk7_0)
| r2_hidden(esk9_0,u1_struct_0(k1_latsum_1(esk7_0,esk8_0)))
| ~ l1_orders_2(k1_latsum_1(esk7_0,esk8_0)) ),
inference(cn,[status(thm)],[403,theory(equality)]) ).
cnf(405,negated_conjecture,
( r2_hidden(esk9_0,u1_struct_0(k1_latsum_1(esk7_0,esk8_0)))
| ~ l1_orders_2(k1_latsum_1(esk7_0,esk8_0)) ),
inference(sr,[status(thm)],[404,196,theory(equality)]) ).
cnf(692,plain,
( r2_hidden(X1,k4_xboole_0(X2,X3))
| r2_hidden(X1,X3)
| ~ r2_hidden(X1,k2_xboole_0(X3,X2)) ),
inference(spm,[status(thm)],[308,74,theory(equality)]) ).
cnf(772,negated_conjecture,
( r2_hidden(esk9_0,u1_struct_0(esk7_0))
| ~ r2_hidden(esk9_0,k2_xboole_0(u1_struct_0(esk7_0),u1_struct_0(esk8_0))) ),
inference(spm,[status(thm)],[190,692,theory(equality)]) ).
cnf(789,negated_conjecture,
~ r2_hidden(esk9_0,k2_xboole_0(u1_struct_0(esk7_0),u1_struct_0(esk8_0))),
inference(sr,[status(thm)],[772,191,theory(equality)]) ).
cnf(1051,plain,
( u1_struct_0(k1_latsum_1(X1,X2)) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[323,78]) ).
cnf(1052,plain,
( u1_struct_0(k1_latsum_1(X1,X2)) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[1051,79]) ).
cnf(1063,negated_conjecture,
( r2_hidden(esk9_0,k2_xboole_0(u1_struct_0(esk7_0),u1_struct_0(esk8_0)))
| ~ l1_orders_2(k1_latsum_1(esk7_0,esk8_0))
| ~ l1_orders_2(esk8_0)
| ~ l1_orders_2(esk7_0) ),
inference(spm,[status(thm)],[405,1052,theory(equality)]) ).
cnf(1088,negated_conjecture,
( r2_hidden(esk9_0,k2_xboole_0(u1_struct_0(esk7_0),u1_struct_0(esk8_0)))
| ~ l1_orders_2(k1_latsum_1(esk7_0,esk8_0))
| $false
| ~ l1_orders_2(esk7_0) ),
inference(rw,[status(thm)],[1063,193,theory(equality)]) ).
cnf(1089,negated_conjecture,
( r2_hidden(esk9_0,k2_xboole_0(u1_struct_0(esk7_0),u1_struct_0(esk8_0)))
| ~ l1_orders_2(k1_latsum_1(esk7_0,esk8_0))
| $false
| $false ),
inference(rw,[status(thm)],[1088,195,theory(equality)]) ).
cnf(1090,negated_conjecture,
( r2_hidden(esk9_0,k2_xboole_0(u1_struct_0(esk7_0),u1_struct_0(esk8_0)))
| ~ l1_orders_2(k1_latsum_1(esk7_0,esk8_0)) ),
inference(cn,[status(thm)],[1089,theory(equality)]) ).
cnf(1091,negated_conjecture,
~ l1_orders_2(k1_latsum_1(esk7_0,esk8_0)),
inference(sr,[status(thm)],[1090,789,theory(equality)]) ).
cnf(1101,negated_conjecture,
( ~ l1_orders_2(esk7_0)
| ~ l1_orders_2(esk8_0) ),
inference(spm,[status(thm)],[1091,78,theory(equality)]) ).
cnf(1102,negated_conjecture,
( $false
| ~ l1_orders_2(esk8_0) ),
inference(rw,[status(thm)],[1101,195,theory(equality)]) ).
cnf(1103,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[1102,193,theory(equality)]) ).
cnf(1104,negated_conjecture,
$false,
inference(cn,[status(thm)],[1103,theory(equality)]) ).
cnf(1105,negated_conjecture,
$false,
1104,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU407+1.p
% --creating new selector for []
% -running prover on /tmp/tmprmwY2Y/sel_SEU407+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU407+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU407+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU407+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
%
%------------------------------------------------------------------------------