TSTP Solution File: LAT292+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT292+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 13:55:57 EST 2010
% Result : Theorem 0.45s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 8 unt; 0 def)
% Number of atoms : 305 ( 5 equ)
% Maximal formula atoms : 18 ( 6 avg)
% Number of connectives : 397 ( 140 ~; 153 |; 93 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 40 ( 0 sgn 25 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> r1_filter_1(X1,k12_lopclset(X1)) ),
file('/tmp/tmpslKaGM/sel_LAT292+1.p_1',t43_lopclset) ).
fof(21,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k11_lopclset(X1))
& v1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1)) ) ),
file('/tmp/tmpslKaGM/sel_LAT292+1.p_1',fc4_lopclset) ).
fof(33,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1)) ),
file('/tmp/tmpslKaGM/sel_LAT292+1.p_1',d9_lopclset) ).
fof(47,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1))
& l1_pre_topc(k11_lopclset(X1)) ) ),
file('/tmp/tmpslKaGM/sel_LAT292+1.p_1',dt_k11_lopclset) ).
fof(97,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ? [X2] :
( ~ v3_struct_0(X2)
& v2_pre_topc(X2)
& l1_pre_topc(X2)
& r1_filter_1(X1,k6_lopclset(X2)) ) ),
file('/tmp/tmpslKaGM/sel_LAT292+1.p_1',t44_lopclset) ).
fof(113,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ? [X2] :
( ~ v3_struct_0(X2)
& v2_pre_topc(X2)
& l1_pre_topc(X2)
& r1_filter_1(X1,k6_lopclset(X2)) ) ),
inference(assume_negation,[status(cth)],[97]) ).
fof(114,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> r1_filter_1(X1,k12_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(124,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k11_lopclset(X1))
& v1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).
fof(130,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[33,theory(equality)]) ).
fof(133,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1))
& l1_pre_topc(k11_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[47,theory(equality)]) ).
fof(151,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ? [X2] :
( ~ v3_struct_0(X2)
& v2_pre_topc(X2)
& l1_pre_topc(X2)
& r1_filter_1(X1,k6_lopclset(X2)) ) ),
inference(fof_simplification,[status(thm)],[113,theory(equality)]) ).
fof(158,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| r1_filter_1(X1,k12_lopclset(X1)) ),
inference(fof_nnf,[status(thm)],[114]) ).
fof(159,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| r1_filter_1(X2,k12_lopclset(X2)) ),
inference(variable_rename,[status(thm)],[158]) ).
cnf(160,plain,
( r1_filter_1(X1,k12_lopclset(X1))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[159]) ).
fof(279,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ( ~ v3_struct_0(k11_lopclset(X1))
& v1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1)) ) ),
inference(fof_nnf,[status(thm)],[124]) ).
fof(280,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| ( ~ v3_struct_0(k11_lopclset(X2))
& v1_pre_topc(k11_lopclset(X2))
& v2_pre_topc(k11_lopclset(X2)) ) ),
inference(variable_rename,[status(thm)],[279]) ).
fof(281,plain,
! [X2] :
( ( ~ v3_struct_0(k11_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) )
& ( v1_pre_topc(k11_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) )
& ( v2_pre_topc(k11_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[280]) ).
cnf(282,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| v2_pre_topc(k11_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[281]) ).
cnf(284,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k11_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[281]) ).
fof(346,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1)) ),
inference(fof_nnf,[status(thm)],[130]) ).
fof(347,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| k12_lopclset(X2) = k6_lopclset(k11_lopclset(X2)) ),
inference(variable_rename,[status(thm)],[346]) ).
cnf(348,plain,
( k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[347]) ).
fof(402,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ( v1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1))
& l1_pre_topc(k11_lopclset(X1)) ) ),
inference(fof_nnf,[status(thm)],[133]) ).
fof(403,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| ( v1_pre_topc(k11_lopclset(X2))
& v2_pre_topc(k11_lopclset(X2))
& l1_pre_topc(k11_lopclset(X2)) ) ),
inference(variable_rename,[status(thm)],[402]) ).
fof(404,plain,
! [X2] :
( ( v1_pre_topc(k11_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) )
& ( v2_pre_topc(k11_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) )
& ( l1_pre_topc(k11_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[403]) ).
cnf(405,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| l1_pre_topc(k11_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[404]) ).
fof(646,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1)
& ! [X2] :
( v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ r1_filter_1(X1,k6_lopclset(X2)) ) ),
inference(fof_nnf,[status(thm)],[151]) ).
fof(647,negated_conjecture,
? [X3] :
( ~ v3_struct_0(X3)
& v10_lattices(X3)
& v17_lattices(X3)
& ~ v3_realset2(X3)
& l3_lattices(X3)
& ! [X4] :
( v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4)
| ~ r1_filter_1(X3,k6_lopclset(X4)) ) ),
inference(variable_rename,[status(thm)],[646]) ).
fof(648,negated_conjecture,
( ~ v3_struct_0(esk24_0)
& v10_lattices(esk24_0)
& v17_lattices(esk24_0)
& ~ v3_realset2(esk24_0)
& l3_lattices(esk24_0)
& ! [X4] :
( v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4)
| ~ r1_filter_1(esk24_0,k6_lopclset(X4)) ) ),
inference(skolemize,[status(esa)],[647]) ).
fof(649,negated_conjecture,
! [X4] :
( ( v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4)
| ~ r1_filter_1(esk24_0,k6_lopclset(X4)) )
& ~ v3_struct_0(esk24_0)
& v10_lattices(esk24_0)
& v17_lattices(esk24_0)
& ~ v3_realset2(esk24_0)
& l3_lattices(esk24_0) ),
inference(shift_quantors,[status(thm)],[648]) ).
cnf(650,negated_conjecture,
l3_lattices(esk24_0),
inference(split_conjunct,[status(thm)],[649]) ).
cnf(651,negated_conjecture,
~ v3_realset2(esk24_0),
inference(split_conjunct,[status(thm)],[649]) ).
cnf(652,negated_conjecture,
v17_lattices(esk24_0),
inference(split_conjunct,[status(thm)],[649]) ).
cnf(653,negated_conjecture,
v10_lattices(esk24_0),
inference(split_conjunct,[status(thm)],[649]) ).
cnf(654,negated_conjecture,
~ v3_struct_0(esk24_0),
inference(split_conjunct,[status(thm)],[649]) ).
cnf(655,negated_conjecture,
( v3_struct_0(X1)
| ~ r1_filter_1(esk24_0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[649]) ).
cnf(930,negated_conjecture,
( v3_struct_0(k11_lopclset(X1))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(k11_lopclset(X1))
| ~ l1_pre_topc(k11_lopclset(X1))
| ~ r1_filter_1(esk24_0,k12_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[655,348,theory(equality)]) ).
cnf(2319,negated_conjecture,
( v3_realset2(X1)
| v3_struct_0(k11_lopclset(X1))
| v3_struct_0(X1)
| ~ v2_pre_topc(k11_lopclset(X1))
| ~ r1_filter_1(esk24_0,k12_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[930,405]) ).
cnf(2320,negated_conjecture,
( v3_realset2(X1)
| v3_struct_0(k11_lopclset(X1))
| v3_struct_0(X1)
| ~ r1_filter_1(esk24_0,k12_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[2319,282]) ).
cnf(2321,negated_conjecture,
( v3_realset2(X1)
| v3_struct_0(X1)
| ~ r1_filter_1(esk24_0,k12_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[2320,284]) ).
cnf(2322,negated_conjecture,
( v3_realset2(esk24_0)
| v3_struct_0(esk24_0)
| ~ l3_lattices(esk24_0)
| ~ v17_lattices(esk24_0)
| ~ v10_lattices(esk24_0) ),
inference(spm,[status(thm)],[2321,160,theory(equality)]) ).
cnf(2323,negated_conjecture,
( v3_realset2(esk24_0)
| v3_struct_0(esk24_0)
| $false
| ~ v17_lattices(esk24_0)
| ~ v10_lattices(esk24_0) ),
inference(rw,[status(thm)],[2322,650,theory(equality)]) ).
cnf(2324,negated_conjecture,
( v3_realset2(esk24_0)
| v3_struct_0(esk24_0)
| $false
| $false
| ~ v10_lattices(esk24_0) ),
inference(rw,[status(thm)],[2323,652,theory(equality)]) ).
cnf(2325,negated_conjecture,
( v3_realset2(esk24_0)
| v3_struct_0(esk24_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2324,653,theory(equality)]) ).
cnf(2326,negated_conjecture,
( v3_realset2(esk24_0)
| v3_struct_0(esk24_0) ),
inference(cn,[status(thm)],[2325,theory(equality)]) ).
cnf(2327,negated_conjecture,
v3_struct_0(esk24_0),
inference(sr,[status(thm)],[2326,651,theory(equality)]) ).
cnf(2328,negated_conjecture,
$false,
inference(sr,[status(thm)],[2327,654,theory(equality)]) ).
cnf(2329,negated_conjecture,
$false,
2328,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT292+1.p
% --creating new selector for []
% -running prover on /tmp/tmpslKaGM/sel_LAT292+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT292+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT292+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT292+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
%
%------------------------------------------------------------------------------