%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU413+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 08:42:46 EST 2010
% Result : Theorem 0.45s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 44 ( 12 unt; 0 def)
% Number of atoms : 226 ( 0 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 297 ( 115 ~; 122 |; 42 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 47 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,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/tmpPL1ywP/sel_SEU413+1.p_1',dt_k1_latsum_1) ).
fof(16,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r1_orders_2(X1,X2,X3)
<=> r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1)) ) ) ) ),
file('/tmp/tmpPL1ywP/sel_SEU413+1.p_1',d9_orders_2) ).
fof(19,conjecture,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X1,X2)))
=> ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
& r1_orders_2(k1_latsum_1(X1,X2),X3,X4)
& r2_hidden(X4,u1_struct_0(X1)) )
=> r2_hidden(X3,u1_struct_0(X1)) ) ) ) ) ),
file('/tmp/tmpPL1ywP/sel_SEU413+1.p_1',t23_latsum_1) ).
fof(24,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3,X4] :
( ( v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
& r2_hidden(k4_tarski(X3,X4),u1_orders_2(k1_latsum_1(X1,X2)))
& r2_hidden(X4,u1_struct_0(X1)) )
=> r2_hidden(X3,u1_struct_0(X1)) ) ) ),
file('/tmp/tmpPL1ywP/sel_SEU413+1.p_1',t21_latsum_1) ).
fof(43,negated_conjecture,
~ ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X1,X2)))
=> ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
& r1_orders_2(k1_latsum_1(X1,X2),X3,X4)
& r2_hidden(X4,u1_struct_0(X1)) )
=> r2_hidden(X3,u1_struct_0(X1)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[19]) ).
fof(49,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)],[3]) ).
fof(50,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)],[49]) ).
fof(51,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)],[50]) ).
cnf(52,plain,
( l1_orders_2(k1_latsum_1(X2,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[51]) ).
fof(86,plain,
! [X1] :
( ~ l1_orders_2(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ( ( ~ r1_orders_2(X1,X2,X3)
| r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1)) )
& ( ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))
| r1_orders_2(X1,X2,X3) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(87,plain,
! [X4] :
( ~ l1_orders_2(X4)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X4))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| ( ( ~ r1_orders_2(X4,X5,X6)
| r2_hidden(k4_tarski(X5,X6),u1_orders_2(X4)) )
& ( ~ r2_hidden(k4_tarski(X5,X6),u1_orders_2(X4))
| r1_orders_2(X4,X5,X6) ) ) ) ) ),
inference(variable_rename,[status(thm)],[86]) ).
fof(88,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| ( ( ~ r1_orders_2(X4,X5,X6)
| r2_hidden(k4_tarski(X5,X6),u1_orders_2(X4)) )
& ( ~ r2_hidden(k4_tarski(X5,X6),u1_orders_2(X4))
| r1_orders_2(X4,X5,X6) ) )
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ l1_orders_2(X4) ),
inference(shift_quantors,[status(thm)],[87]) ).
fof(89,plain,
! [X4,X5,X6] :
( ( ~ r1_orders_2(X4,X5,X6)
| r2_hidden(k4_tarski(X5,X6),u1_orders_2(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ l1_orders_2(X4) )
& ( ~ r2_hidden(k4_tarski(X5,X6),u1_orders_2(X4))
| r1_orders_2(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ l1_orders_2(X4) ) ),
inference(distribute,[status(thm)],[88]) ).
cnf(91,plain,
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))
| ~ l1_orders_2(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_orders_2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[89]) ).
fof(96,negated_conjecture,
? [X1] :
( l1_orders_2(X1)
& ? [X2] :
( l1_orders_2(X2)
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X1,X2)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
& r1_orders_2(k1_latsum_1(X1,X2),X3,X4)
& r2_hidden(X4,u1_struct_0(X1))
& ~ r2_hidden(X3,u1_struct_0(X1)) ) ) ) ),
inference(fof_nnf,[status(thm)],[43]) ).
fof(97,negated_conjecture,
? [X5] :
( l1_orders_2(X5)
& ? [X6] :
( l1_orders_2(X6)
& ? [X7] :
( m1_subset_1(X7,u1_struct_0(k1_latsum_1(X5,X6)))
& ? [X8] :
( m1_subset_1(X8,u1_struct_0(k1_latsum_1(X5,X6)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X5),u1_struct_0(X6)),X6)
& m1_subset_1(k3_xboole_0(u1_struct_0(X5),u1_struct_0(X6)),k1_zfmisc_1(u1_struct_0(X6)))
& r1_orders_2(k1_latsum_1(X5,X6),X7,X8)
& r2_hidden(X8,u1_struct_0(X5))
& ~ r2_hidden(X7,u1_struct_0(X5)) ) ) ) ),
inference(variable_rename,[status(thm)],[96]) ).
fof(98,negated_conjecture,
( l1_orders_2(esk3_0)
& l1_orders_2(esk4_0)
& m1_subset_1(esk5_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
& m1_subset_1(esk6_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),esk4_0)
& m1_subset_1(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),k1_zfmisc_1(u1_struct_0(esk4_0)))
& r1_orders_2(k1_latsum_1(esk3_0,esk4_0),esk5_0,esk6_0)
& r2_hidden(esk6_0,u1_struct_0(esk3_0))
& ~ r2_hidden(esk5_0,u1_struct_0(esk3_0)) ),
inference(skolemize,[status(esa)],[97]) ).
cnf(99,negated_conjecture,
~ r2_hidden(esk5_0,u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[98]) ).
cnf(100,negated_conjecture,
r2_hidden(esk6_0,u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[98]) ).
cnf(101,negated_conjecture,
r1_orders_2(k1_latsum_1(esk3_0,esk4_0),esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[98]) ).
cnf(102,negated_conjecture,
m1_subset_1(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),k1_zfmisc_1(u1_struct_0(esk4_0))),
inference(split_conjunct,[status(thm)],[98]) ).
cnf(103,negated_conjecture,
v12_waybel_0(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),esk4_0),
inference(split_conjunct,[status(thm)],[98]) ).
cnf(104,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0))),
inference(split_conjunct,[status(thm)],[98]) ).
cnf(105,negated_conjecture,
m1_subset_1(esk5_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0))),
inference(split_conjunct,[status(thm)],[98]) ).
cnf(106,negated_conjecture,
l1_orders_2(esk4_0),
inference(split_conjunct,[status(thm)],[98]) ).
cnf(107,negated_conjecture,
l1_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[98]) ).
fof(116,plain,
! [X1] :
( ~ l1_orders_2(X1)
| ! [X2] :
( ~ l1_orders_2(X2)
| ! [X3,X4] :
( ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
| ~ r2_hidden(k4_tarski(X3,X4),u1_orders_2(k1_latsum_1(X1,X2)))
| ~ r2_hidden(X4,u1_struct_0(X1))
| r2_hidden(X3,u1_struct_0(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(117,plain,
! [X5] :
( ~ l1_orders_2(X5)
| ! [X6] :
( ~ l1_orders_2(X6)
| ! [X7,X8] :
( ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X5),u1_struct_0(X6)),X6)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X5),u1_struct_0(X6)),k1_zfmisc_1(u1_struct_0(X6)))
| ~ r2_hidden(k4_tarski(X7,X8),u1_orders_2(k1_latsum_1(X5,X6)))
| ~ r2_hidden(X8,u1_struct_0(X5))
| r2_hidden(X7,u1_struct_0(X5)) ) ) ),
inference(variable_rename,[status(thm)],[116]) ).
fof(118,plain,
! [X5,X6,X7,X8] :
( ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X5),u1_struct_0(X6)),X6)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X5),u1_struct_0(X6)),k1_zfmisc_1(u1_struct_0(X6)))
| ~ r2_hidden(k4_tarski(X7,X8),u1_orders_2(k1_latsum_1(X5,X6)))
| ~ r2_hidden(X8,u1_struct_0(X5))
| r2_hidden(X7,u1_struct_0(X5))
| ~ l1_orders_2(X6)
| ~ l1_orders_2(X5) ),
inference(shift_quantors,[status(thm)],[117]) ).
cnf(119,plain,
( r2_hidden(X3,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ r2_hidden(X4,u1_struct_0(X1))
| ~ r2_hidden(k4_tarski(X3,X4),u1_orders_2(k1_latsum_1(X1,X2)))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2) ),
inference(split_conjunct,[status(thm)],[118]) ).
cnf(208,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X3)
| ~ r2_hidden(X4,u1_struct_0(X2))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X3)))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ r1_orders_2(k1_latsum_1(X2,X3),X1,X4)
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X2,X3)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(X2,X3)))
| ~ l1_orders_2(k1_latsum_1(X2,X3)) ),
inference(spm,[status(thm)],[119,91,theory(equality)]) ).
cnf(415,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X3)
| ~ r1_orders_2(k1_latsum_1(X2,X3),X1,X4)
| ~ r2_hidden(X4,u1_struct_0(X2))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X2,X3)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(X2,X3)))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(csr,[status(thm)],[208,52]) ).
cnf(417,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk3_0))
| ~ r1_orders_2(k1_latsum_1(esk3_0,esk4_0),X1,X2)
| ~ r2_hidden(X2,u1_struct_0(esk3_0))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),k1_zfmisc_1(u1_struct_0(esk4_0)))
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(esk4_0)
| ~ l1_orders_2(esk3_0) ),
inference(spm,[status(thm)],[415,103,theory(equality)]) ).
cnf(423,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk3_0))
| ~ r1_orders_2(k1_latsum_1(esk3_0,esk4_0),X1,X2)
| ~ r2_hidden(X2,u1_struct_0(esk3_0))
| $false
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(esk4_0)
| ~ l1_orders_2(esk3_0) ),
inference(rw,[status(thm)],[417,102,theory(equality)]) ).
cnf(424,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk3_0))
| ~ r1_orders_2(k1_latsum_1(esk3_0,esk4_0),X1,X2)
| ~ r2_hidden(X2,u1_struct_0(esk3_0))
| $false
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| $false
| ~ l1_orders_2(esk3_0) ),
inference(rw,[status(thm)],[423,106,theory(equality)]) ).
cnf(425,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk3_0))
| ~ r1_orders_2(k1_latsum_1(esk3_0,esk4_0),X1,X2)
| ~ r2_hidden(X2,u1_struct_0(esk3_0))
| $false
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| $false
| $false ),
inference(rw,[status(thm)],[424,107,theory(equality)]) ).
cnf(426,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk3_0))
| ~ r1_orders_2(k1_latsum_1(esk3_0,esk4_0),X1,X2)
| ~ r2_hidden(X2,u1_struct_0(esk3_0))
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(esk3_0,esk4_0))) ),
inference(cn,[status(thm)],[425,theory(equality)]) ).
cnf(3975,negated_conjecture,
( r2_hidden(esk5_0,u1_struct_0(esk3_0))
| ~ r2_hidden(esk6_0,u1_struct_0(esk3_0))
| ~ m1_subset_1(esk6_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ m1_subset_1(esk5_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0))) ),
inference(spm,[status(thm)],[426,101,theory(equality)]) ).
cnf(3976,negated_conjecture,
( r2_hidden(esk5_0,u1_struct_0(esk3_0))
| $false
| ~ m1_subset_1(esk6_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ m1_subset_1(esk5_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0))) ),
inference(rw,[status(thm)],[3975,100,theory(equality)]) ).
cnf(3977,negated_conjecture,
( r2_hidden(esk5_0,u1_struct_0(esk3_0))
| $false
| $false
| ~ m1_subset_1(esk5_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0))) ),
inference(rw,[status(thm)],[3976,104,theory(equality)]) ).
cnf(3978,negated_conjecture,
( r2_hidden(esk5_0,u1_struct_0(esk3_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3977,105,theory(equality)]) ).
cnf(3979,negated_conjecture,
r2_hidden(esk5_0,u1_struct_0(esk3_0)),
inference(cn,[status(thm)],[3978,theory(equality)]) ).
cnf(3980,negated_conjecture,
$false,
inference(sr,[status(thm)],[3979,99,theory(equality)]) ).
cnf(3981,negated_conjecture,
$false,
3980,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU413+1.p
% --creating new selector for []
% -running prover on /tmp/tmpPL1ywP/sel_SEU413+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU413+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU413+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU413+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
%
%------------------------------------------------------------------------------