TSTP Solution File: LAT300+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT300+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 : Sat Dec 25 14:13:56 EST 2010
% Result : Theorem 0.26s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 55 ( 13 unt; 0 def)
% Number of atoms : 209 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 254 ( 100 ~; 98 |; 40 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 86 ( 3 sgn 50 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(12,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/tmp/tmp0R_-1_/sel_LAT300+1.p_1',t4_subset) ).
fof(25,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/tmp/tmp0R_-1_/sel_LAT300+1.p_1',t2_subset) ).
fof(27,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/tmp/tmp0R_-1_/sel_LAT300+1.p_1',dt_m2_lattice4) ).
fof(32,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/tmp/tmp0R_-1_/sel_LAT300+1.p_1',existence_m1_subset_1) ).
fof(35,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& r2_hidden(X3,X2) ) ) ),
file('/tmp/tmp0R_-1_/sel_LAT300+1.p_1',t24_filter_2) ).
fof(44,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/tmp/tmp0R_-1_/sel_LAT300+1.p_1',dt_m2_filter_2) ).
fof(45,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& r2_hidden(X3,X2) ) ) ),
inference(assume_negation,[status(cth)],[35]) ).
fof(57,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[27,theory(equality)]) ).
fof(58,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& r2_hidden(X3,X2) ) ) ),
inference(fof_simplification,[status(thm)],[45,theory(equality)]) ).
fof(63,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[44,theory(equality)]) ).
fof(99,plain,
! [X1,X2,X3] :
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| m1_subset_1(X1,X3) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(100,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| m1_subset_1(X4,X6) ),
inference(variable_rename,[status(thm)],[99]) ).
cnf(101,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[100]) ).
fof(143,plain,
! [X1,X2] :
( ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(144,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[143]) ).
cnf(145,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[144]) ).
fof(147,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m2_lattice4(X2,X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_nnf,[status(thm)],[57]) ).
fof(148,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ) ),
inference(variable_rename,[status(thm)],[147]) ).
fof(149,plain,
! [X3,X4] :
( ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[148]) ).
cnf(150,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[149]) ).
fof(164,plain,
! [X3] :
? [X4] : m1_subset_1(X4,X3),
inference(variable_rename,[status(thm)],[32]) ).
fof(165,plain,
! [X3] : m1_subset_1(esk11_1(X3),X3),
inference(skolemize,[status(esa)],[164]) ).
cnf(166,plain,
m1_subset_1(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[165]) ).
fof(171,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ? [X2] :
( m2_filter_2(X2,X1)
& ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,X2) ) ) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(172,negated_conjecture,
? [X4] :
( ~ v3_struct_0(X4)
& v10_lattices(X4)
& l3_lattices(X4)
& ? [X5] :
( m2_filter_2(X5,X4)
& ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ r2_hidden(X6,X5) ) ) ),
inference(variable_rename,[status(thm)],[171]) ).
fof(173,negated_conjecture,
( ~ v3_struct_0(esk12_0)
& v10_lattices(esk12_0)
& l3_lattices(esk12_0)
& m2_filter_2(esk13_0,esk12_0)
& ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(esk12_0))
| ~ r2_hidden(X6,esk13_0) ) ),
inference(skolemize,[status(esa)],[172]) ).
fof(174,negated_conjecture,
! [X6] :
( ( ~ m1_subset_1(X6,u1_struct_0(esk12_0))
| ~ r2_hidden(X6,esk13_0) )
& m2_filter_2(esk13_0,esk12_0)
& ~ v3_struct_0(esk12_0)
& v10_lattices(esk12_0)
& l3_lattices(esk12_0) ),
inference(shift_quantors,[status(thm)],[173]) ).
cnf(175,negated_conjecture,
l3_lattices(esk12_0),
inference(split_conjunct,[status(thm)],[174]) ).
cnf(176,negated_conjecture,
v10_lattices(esk12_0),
inference(split_conjunct,[status(thm)],[174]) ).
cnf(177,negated_conjecture,
~ v3_struct_0(esk12_0),
inference(split_conjunct,[status(thm)],[174]) ).
cnf(178,negated_conjecture,
m2_filter_2(esk13_0,esk12_0),
inference(split_conjunct,[status(thm)],[174]) ).
cnf(179,negated_conjecture,
( ~ r2_hidden(X1,esk13_0)
| ~ m1_subset_1(X1,u1_struct_0(esk12_0)) ),
inference(split_conjunct,[status(thm)],[174]) ).
fof(216,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m2_filter_2(X2,X1)
| ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[63]) ).
fof(217,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m2_filter_2(X4,X3)
| ( ~ v1_xboole_0(X4)
& m2_lattice4(X4,X3) ) ) ),
inference(variable_rename,[status(thm)],[216]) ).
fof(218,plain,
! [X3,X4] :
( ~ m2_filter_2(X4,X3)
| ( ~ v1_xboole_0(X4)
& m2_lattice4(X4,X3) )
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[217]) ).
fof(219,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[218]) ).
cnf(220,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(221,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(240,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ l3_lattices(esk12_0)
| ~ v10_lattices(esk12_0)
| ~ v1_xboole_0(esk13_0) ),
inference(spm,[status(thm)],[221,178,theory(equality)]) ).
cnf(242,negated_conjecture,
( v3_struct_0(esk12_0)
| $false
| ~ v10_lattices(esk12_0)
| ~ v1_xboole_0(esk13_0) ),
inference(rw,[status(thm)],[240,175,theory(equality)]) ).
cnf(243,negated_conjecture,
( v3_struct_0(esk12_0)
| $false
| $false
| ~ v1_xboole_0(esk13_0) ),
inference(rw,[status(thm)],[242,176,theory(equality)]) ).
cnf(244,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ v1_xboole_0(esk13_0) ),
inference(cn,[status(thm)],[243,theory(equality)]) ).
cnf(245,negated_conjecture,
~ v1_xboole_0(esk13_0),
inference(sr,[status(thm)],[244,177,theory(equality)]) ).
cnf(251,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ r2_hidden(X1,X3)
| ~ m2_lattice4(X3,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[101,150,theory(equality)]) ).
cnf(327,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X1,X3)
| ~ m2_filter_2(X3,X2) ),
inference(spm,[status(thm)],[251,220,theory(equality)]) ).
cnf(372,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk12_0))
| v3_struct_0(esk12_0)
| ~ l3_lattices(esk12_0)
| ~ v10_lattices(esk12_0)
| ~ r2_hidden(X1,esk13_0) ),
inference(spm,[status(thm)],[327,178,theory(equality)]) ).
cnf(374,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk12_0))
| v3_struct_0(esk12_0)
| $false
| ~ v10_lattices(esk12_0)
| ~ r2_hidden(X1,esk13_0) ),
inference(rw,[status(thm)],[372,175,theory(equality)]) ).
cnf(375,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk12_0))
| v3_struct_0(esk12_0)
| $false
| $false
| ~ r2_hidden(X1,esk13_0) ),
inference(rw,[status(thm)],[374,176,theory(equality)]) ).
cnf(376,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk12_0))
| v3_struct_0(esk12_0)
| ~ r2_hidden(X1,esk13_0) ),
inference(cn,[status(thm)],[375,theory(equality)]) ).
cnf(377,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk12_0))
| ~ r2_hidden(X1,esk13_0) ),
inference(sr,[status(thm)],[376,177,theory(equality)]) ).
cnf(378,negated_conjecture,
~ r2_hidden(X1,esk13_0),
inference(csr,[status(thm)],[377,179]) ).
cnf(379,negated_conjecture,
( v1_xboole_0(esk13_0)
| ~ m1_subset_1(X1,esk13_0) ),
inference(spm,[status(thm)],[378,145,theory(equality)]) ).
cnf(380,negated_conjecture,
~ m1_subset_1(X1,esk13_0),
inference(sr,[status(thm)],[379,245,theory(equality)]) ).
cnf(381,negated_conjecture,
$false,
inference(spm,[status(thm)],[380,166,theory(equality)]) ).
cnf(382,negated_conjecture,
$false,
381,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT300+1.p
% --creating new selector for []
% -running prover on /tmp/tmp0R_-1_/sel_LAT300+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT300+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT300+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT300+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
%
%------------------------------------------------------------------------------