TSTP Solution File: LAT313+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT313+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:33:47 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 101 ( 21 unt; 0 def)
% Number of atoms : 397 ( 39 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 474 ( 178 ~; 194 |; 73 &)
% ( 4 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 92 ( 84 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f715,plain,
$false,
inference(unit_resulting_resolution,[],[f322,f286,f346,f572,f714,f215]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r1_filter_2(X1,X2,X0)
| ~ r1_filter_2(X1,X0,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2] :
( r1_filter_2(X1,X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X0,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X2,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X2,X1] :
( r1_filter_2(X0,X1,X2)
| ~ r1_filter_2(X0,X2,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X2,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X2,X1)
=> r1_filter_2(X0,X1,X2) ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0,X2,X1] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> ( r1_filter_2(X0,X1,X2)
=> r1_filter_2(X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_filter_2) ).
fof(f714,plain,
~ r1_filter_2(u1_struct_0(sK0),sK1,u1_struct_0(sK0)),
inference(subsumption_resolution,[],[f705,f324]) ).
fof(f324,plain,
( u1_struct_0(sK0) != sK1
| ~ r1_filter_2(u1_struct_0(sK0),sK1,u1_struct_0(sK0)) ),
inference(backward_demodulation,[],[f161,f243]) ).
fof(f243,plain,
k17_filter_2(sK0) = u1_struct_0(sK0),
inference(subsumption_resolution,[],[f242,f158]) ).
fof(f158,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( l3_lattices(sK0)
& r2_hidden(k6_lattices(sK0),sK1)
& ( u1_struct_0(sK0) != sK1
| ~ r1_filter_2(u1_struct_0(sK0),sK1,k17_filter_2(sK0)) )
& v14_lattices(sK0)
& m2_filter_2(sK1,sK0)
& ~ v3_struct_0(sK0)
& v10_lattices(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f76,f117,f116]) ).
fof(f116,plain,
( ? [X0] :
( l3_lattices(X0)
& ? [X1] :
( r2_hidden(k6_lattices(X0),X1)
& ( u1_struct_0(X0) != X1
| ~ r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0)) )
& v14_lattices(X0)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( l3_lattices(sK0)
& ? [X1] :
( r2_hidden(k6_lattices(sK0),X1)
& ( u1_struct_0(sK0) != X1
| ~ r1_filter_2(u1_struct_0(sK0),X1,k17_filter_2(sK0)) )
& v14_lattices(sK0)
& m2_filter_2(X1,sK0) )
& ~ v3_struct_0(sK0)
& v10_lattices(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
( ? [X1] :
( r2_hidden(k6_lattices(sK0),X1)
& ( u1_struct_0(sK0) != X1
| ~ r1_filter_2(u1_struct_0(sK0),X1,k17_filter_2(sK0)) )
& v14_lattices(sK0)
& m2_filter_2(X1,sK0) )
=> ( r2_hidden(k6_lattices(sK0),sK1)
& ( u1_struct_0(sK0) != sK1
| ~ r1_filter_2(u1_struct_0(sK0),sK1,k17_filter_2(sK0)) )
& v14_lattices(sK0)
& m2_filter_2(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0] :
( l3_lattices(X0)
& ? [X1] :
( r2_hidden(k6_lattices(X0),X1)
& ( u1_struct_0(X0) != X1
| ~ r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0)) )
& v14_lattices(X0)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
? [X0] :
( ? [X1] :
( ( u1_struct_0(X0) != X1
| ~ r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0)) )
& r2_hidden(k6_lattices(X0),X1)
& v14_lattices(X0)
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( r2_hidden(k6_lattices(X0),X1)
& v14_lattices(X0) )
=> ( r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
& u1_struct_0(X0) = X1 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( r2_hidden(k6_lattices(X0),X1)
& v14_lattices(X0) )
=> ( r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
& u1_struct_0(X0) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_filter_2) ).
fof(f242,plain,
( k17_filter_2(sK0) = u1_struct_0(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f225,f157]) ).
fof(f157,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f225,plain,
( k17_filter_2(sK0) = u1_struct_0(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f163,f174]) ).
fof(f174,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k17_filter_2(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| u1_struct_0(X0) = k17_filter_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0] :
( u1_struct_0(X0) = k17_filter_2(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& v10_lattices(X0) )
=> u1_struct_0(X0) = k17_filter_2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f163,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f161,plain,
( u1_struct_0(sK0) != sK1
| ~ r1_filter_2(u1_struct_0(sK0),sK1,k17_filter_2(sK0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f705,plain,
( u1_struct_0(sK0) = sK1
| ~ r1_filter_2(u1_struct_0(sK0),sK1,u1_struct_0(sK0)) ),
inference(resolution,[],[f379,f346]) ).
fof(f379,plain,
! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_filter_2(u1_struct_0(sK0),sK1,X1)
| sK1 = X1 ),
inference(subsumption_resolution,[],[f366,f322]) ).
fof(f366,plain,
! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| sK1 = X1
| v1_xboole_0(u1_struct_0(sK0))
| ~ r1_filter_2(u1_struct_0(sK0),sK1,X1) ),
inference(resolution,[],[f286,f166]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| X1 = X2
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r1_filter_2(X0,X2,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ( ( r1_filter_2(X0,X2,X1)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X2,X1) ) ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ( r1_filter_2(X0,X2,X1)
<=> X1 = X2 ) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X1,X0,X2] :
( ( r1_filter_2(X0,X2,X1)
<=> X1 = X2 )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X0,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> ( r1_filter_2(X0,X2,X1)
<=> X1 = X2 ) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X0,X2,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> ( X1 = X2
<=> r1_filter_2(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f572,plain,
r1_filter_2(u1_struct_0(sK0),u1_struct_0(sK0),sK1),
inference(backward_demodulation,[],[f271,f392]) ).
fof(f392,plain,
k19_filter_2(sK0,sK1) = u1_struct_0(sK0),
inference(subsumption_resolution,[],[f391,f157]) ).
fof(f391,plain,
( k19_filter_2(sK0,sK1) = u1_struct_0(sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f390,f158]) ).
fof(f390,plain,
( v3_struct_0(sK0)
| k19_filter_2(sK0,sK1) = u1_struct_0(sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f389,f160]) ).
fof(f160,plain,
v14_lattices(sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f389,plain,
( k19_filter_2(sK0,sK1) = u1_struct_0(sK0)
| ~ v14_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f388,f268]) ).
fof(f268,plain,
~ v1_xboole_0(sK1),
inference(subsumption_resolution,[],[f267,f163]) ).
fof(f267,plain,
( ~ v1_xboole_0(sK1)
| ~ l3_lattices(sK0) ),
inference(subsumption_resolution,[],[f266,f158]) ).
fof(f266,plain,
( v3_struct_0(sK0)
| ~ v1_xboole_0(sK1)
| ~ l3_lattices(sK0) ),
inference(subsumption_resolution,[],[f263,f157]) ).
fof(f263,plain,
( ~ v1_xboole_0(sK1)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f159,f211]) ).
fof(f211,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ~ l3_lattices(X0)
| ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ( v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f159,plain,
m2_filter_2(sK1,sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f388,plain,
( k19_filter_2(sK0,sK1) = u1_struct_0(sK0)
| v1_xboole_0(sK1)
| ~ v10_lattices(sK0)
| ~ v14_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f387,f162]) ).
fof(f162,plain,
r2_hidden(k6_lattices(sK0),sK1),
inference(cnf_transformation,[],[f118]) ).
fof(f387,plain,
( ~ r2_hidden(k6_lattices(sK0),sK1)
| k19_filter_2(sK0,sK1) = u1_struct_0(sK0)
| v3_struct_0(sK0)
| ~ v14_lattices(sK0)
| ~ v10_lattices(sK0)
| v1_xboole_0(sK1) ),
inference(subsumption_resolution,[],[f361,f163]) ).
fof(f361,plain,
( ~ l3_lattices(sK0)
| v1_xboole_0(sK1)
| ~ r2_hidden(k6_lattices(sK0),sK1)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| k19_filter_2(sK0,sK1) = u1_struct_0(sK0)
| ~ v14_lattices(sK0) ),
inference(resolution,[],[f286,f221]) ).
fof(f221,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(X0) = k19_filter_2(X0,X1)
| ~ r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),k17_filter_2(X0))
& u1_struct_0(X0) = k19_filter_2(X0,X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k6_lattices(X0),X1)
| ~ v14_lattices(X0)
| v1_xboole_0(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),k17_filter_2(X0))
& u1_struct_0(X0) = k19_filter_2(X0,X1) )
| ~ r2_hidden(k6_lattices(X0),X1)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ( ( r2_hidden(k6_lattices(X0),X1)
& v14_lattices(X0) )
=> ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),k17_filter_2(X0))
& u1_struct_0(X0) = k19_filter_2(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_filter_2) ).
fof(f271,plain,
r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK1),
inference(subsumption_resolution,[],[f270,f158]) ).
fof(f270,plain,
( v3_struct_0(sK0)
| r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK1) ),
inference(subsumption_resolution,[],[f269,f163]) ).
fof(f269,plain,
( r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK1)
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f265,f157]) ).
fof(f265,plain,
( r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK1)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f159,f220]) ).
fof(f220,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ! [X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_filter_2) ).
fof(f346,plain,
m1_subset_1(u1_struct_0(sK0),k1_zfmisc_1(u1_struct_0(sK0))),
inference(subsumption_resolution,[],[f345,f158]) ).
fof(f345,plain,
( v3_struct_0(sK0)
| m1_subset_1(u1_struct_0(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(subsumption_resolution,[],[f344,f163]) ).
fof(f344,plain,
( ~ l3_lattices(sK0)
| m1_subset_1(u1_struct_0(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f343,f157]) ).
fof(f343,plain,
( m1_subset_1(u1_struct_0(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f336,f219]) ).
fof(f219,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f336,plain,
m2_lattice4(u1_struct_0(sK0),sK0),
inference(subsumption_resolution,[],[f335,f163]) ).
fof(f335,plain,
( m2_lattice4(u1_struct_0(sK0),sK0)
| ~ l3_lattices(sK0) ),
inference(subsumption_resolution,[],[f334,f158]) ).
fof(f334,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| m2_lattice4(u1_struct_0(sK0),sK0) ),
inference(subsumption_resolution,[],[f326,f157]) ).
fof(f326,plain,
( m2_lattice4(u1_struct_0(sK0),sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f323,f212]) ).
fof(f212,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f323,plain,
m2_filter_2(u1_struct_0(sK0),sK0),
inference(backward_demodulation,[],[f249,f243]) ).
fof(f249,plain,
m2_filter_2(k17_filter_2(sK0),sK0),
inference(subsumption_resolution,[],[f248,f157]) ).
fof(f248,plain,
( m2_filter_2(k17_filter_2(sK0),sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f236,f158]) ).
fof(f236,plain,
( m2_filter_2(k17_filter_2(sK0),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f163,f209]) ).
fof(f209,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m2_filter_2(k17_filter_2(X0),X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> m2_filter_2(k17_filter_2(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_filter_2) ).
fof(f286,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(subsumption_resolution,[],[f285,f158]) ).
fof(f285,plain,
( v3_struct_0(sK0)
| m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(subsumption_resolution,[],[f284,f157]) ).
fof(f284,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(subsumption_resolution,[],[f283,f163]) ).
fof(f283,plain,
( ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f274,f219]) ).
fof(f274,plain,
m2_lattice4(sK1,sK0),
inference(subsumption_resolution,[],[f273,f157]) ).
fof(f273,plain,
( ~ v10_lattices(sK0)
| m2_lattice4(sK1,sK0) ),
inference(subsumption_resolution,[],[f272,f158]) ).
fof(f272,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| m2_lattice4(sK1,sK0) ),
inference(subsumption_resolution,[],[f264,f163]) ).
fof(f264,plain,
( ~ l3_lattices(sK0)
| m2_lattice4(sK1,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f159,f212]) ).
fof(f322,plain,
~ v1_xboole_0(u1_struct_0(sK0)),
inference(backward_demodulation,[],[f299,f243]) ).
fof(f299,plain,
~ v1_xboole_0(k17_filter_2(sK0)),
inference(subsumption_resolution,[],[f298,f163]) ).
fof(f298,plain,
( ~ v1_xboole_0(k17_filter_2(sK0))
| ~ l3_lattices(sK0) ),
inference(subsumption_resolution,[],[f297,f158]) ).
fof(f297,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ v1_xboole_0(k17_filter_2(sK0)) ),
inference(subsumption_resolution,[],[f291,f157]) ).
fof(f291,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ v1_xboole_0(k17_filter_2(sK0)) ),
inference(resolution,[],[f249,f211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT313+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 01:15:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (19537)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.49 % (19529)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.50 % (19514)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.50 % (19538)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.50 % (19515)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.51 % (19521)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.51 % (19529)Instruction limit reached!
% 0.21/0.51 % (19529)------------------------------
% 0.21/0.51 % (19529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (19529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (19529)Termination reason: Unknown
% 0.21/0.51 % (19529)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (19529)Memory used [KB]: 6140
% 0.21/0.51 % (19529)Time elapsed: 0.073 s
% 0.21/0.51 % (19529)Instructions burned: 7 (million)
% 0.21/0.51 % (19529)------------------------------
% 0.21/0.51 % (19529)------------------------------
% 0.21/0.51 % (19531)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (19539)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.51 % (19515)Refutation not found, incomplete strategy% (19515)------------------------------
% 0.21/0.51 % (19515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (19515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (19515)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (19515)Memory used [KB]: 6012
% 0.21/0.51 % (19515)Time elapsed: 0.079 s
% 0.21/0.51 % (19515)Instructions burned: 4 (million)
% 0.21/0.51 % (19515)------------------------------
% 0.21/0.51 % (19515)------------------------------
% 0.21/0.52 % (19522)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.52 % (19527)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (19526)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.52 % (19537)First to succeed.
% 0.21/0.52 % (19523)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.52 % (19531)Instruction limit reached!
% 0.21/0.52 % (19531)------------------------------
% 0.21/0.52 % (19531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (19531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (19531)Termination reason: Unknown
% 0.21/0.52 % (19531)Termination phase: Property scanning
% 0.21/0.52
% 0.21/0.52 % (19531)Memory used [KB]: 1535
% 0.21/0.52 % (19531)Time elapsed: 0.003 s
% 0.21/0.52 % (19531)Instructions burned: 3 (million)
% 0.21/0.52 % (19531)------------------------------
% 0.21/0.52 % (19531)------------------------------
% 0.21/0.52 % (19525)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (19537)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (19537)------------------------------
% 0.21/0.53 % (19537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (19537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (19537)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (19537)Memory used [KB]: 1918
% 0.21/0.53 % (19537)Time elapsed: 0.091 s
% 0.21/0.53 % (19537)Instructions burned: 22 (million)
% 0.21/0.53 % (19537)------------------------------
% 0.21/0.53 % (19537)------------------------------
% 0.21/0.53 % (19511)Success in time 0.166 s
%------------------------------------------------------------------------------