TSTP Solution File: LAT330+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT330+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 : Fri May 3 02:35:19 EDT 2024
% Result : Theorem 27.88s 4.64s
% Output : CNFRefutation 27.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 124 ( 13 unt; 0 def)
% Number of atoms : 682 ( 0 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 940 ( 382 ~; 424 |; 91 &)
% ( 10 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 217 ( 1 sgn 154 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( v13_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t67_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( v13_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f7,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_filter_2(X0,X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_filter_2) ).
fof(f9,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(k18_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k18_filter_2) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
& ~ v1_xboole_0(k22_filter_2(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(f13,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f16,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f17,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f19,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f20,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f29,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f47,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_filter_2) ).
fof(f51,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r3_lattices(X0,k5_lattices(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_lattices) ).
fof(f53,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f54,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X3,X2)
& r3_lattices(X0,X1,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_filter_2) ).
fof(f61,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1))
& v13_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1))
& v13_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f61]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_filter_2(X0,X1,X2)
<=> ! [X3] :
( ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
| ~ m1_subset_1(X3,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f71,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f72,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
& ~ v1_xboole_0(k22_filter_2(X0,X1,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
& ~ v1_xboole_0(k22_filter_2(X0,X1,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f76,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f75]) ).
fof(f78,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f79,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f82]) ).
fof(f88,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f89,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f88]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f108]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( r3_lattices(X0,k5_lattices(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( r3_lattices(X0,k5_lattices(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f114]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X3,X2)
& r3_lattices(X0,X1,X3) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X3,X2)
& r3_lattices(X0,X1,X3) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f119]) ).
fof(f124,plain,
( ? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1))
& v13_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,X1),k22_filter_2(sK0,k5_lattices(sK0),X1))
& v13_lattices(sK0)
& m1_subset_1(X1,u1_struct_0(sK0)) )
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,X1),k22_filter_2(sK0,k5_lattices(sK0),X1))
& v13_lattices(sK0)
& m1_subset_1(X1,u1_struct_0(sK0)) )
=> ( ~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1))
& v13_lattices(sK0)
& m1_subset_1(sK1,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1))
& v13_lattices(sK0)
& m1_subset_1(sK1,u1_struct_0(sK0))
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f62,f125,f124]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) ) )
& ( ! [X3] :
( ( ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,X0) )
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f68]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) ) )
& ( ! [X3] :
( ( ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,X0) )
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f127]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) ) )
& ( ! [X4] :
( ( ( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) )
& ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1) ) )
| ~ m1_subset_1(X4,X0) )
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(rectify,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) )
=> ( ( ~ r2_hidden(sK2(X0,X1,X2),X2)
| ~ r2_hidden(sK2(X0,X1,X2),X1) )
& ( r2_hidden(sK2(X0,X1,X2),X2)
| r2_hidden(sK2(X0,X1,X2),X1) )
& m1_subset_1(sK2(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ( ( ~ r2_hidden(sK2(X0,X1,X2),X2)
| ~ r2_hidden(sK2(X0,X1,X2),X1) )
& ( r2_hidden(sK2(X0,X1,X2),X2)
| r2_hidden(sK2(X0,X1,X2),X1) )
& m1_subset_1(sK2(X0,X1,X2),X0) ) )
& ( ! [X4] :
( ( ( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) )
& ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1) ) )
| ~ m1_subset_1(X4,X0) )
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f129,f130]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X1,k18_filter_2(X0,X2))
| ~ r3_lattices(X0,X1,X2) )
& ( r3_lattices(X0,X1,X2)
| ~ r2_hidden(X1,k18_filter_2(X0,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f109]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X3) )
& ( ( r3_lattices(X0,X3,X2)
& r3_lattices(X0,X1,X3) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X3) )
& ( ( r3_lattices(X0,X3,X2)
& r3_lattices(X0,X1,X3) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f173,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f174,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f175,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f126]) ).
fof(f176,plain,
v13_lattices(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f177,plain,
~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),
inference(cnf_transformation,[],[f126]) ).
fof(f190,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| m1_subset_1(sK2(X0,X1,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f191,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| r2_hidden(sK2(X0,X1,X2),X2)
| r2_hidden(sK2(X0,X1,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f192,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| ~ r2_hidden(sK2(X0,X1,X2),X2)
| ~ r2_hidden(sK2(X0,X1,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f194,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f196,plain,
! [X2,X0,X1] :
( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f197,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f199,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f200,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f201,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f203,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f204,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f212,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f240,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X1,X2)
| ~ r2_hidden(X1,k18_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f241,plain,
! [X2,X0,X1] :
( r2_hidden(X1,k18_filter_2(X0,X2))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f246,plain,
! [X0,X1] :
( r3_lattices(X0,k5_lattices(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f248,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f250,plain,
! [X2,X3,X0,X1] :
( r3_lattices(X0,X3,X2)
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f251,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_49,negated_conjecture,
~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),
inference(cnf_transformation,[],[f177]) ).
cnf(c_50,negated_conjecture,
v13_lattices(sK0),
inference(cnf_transformation,[],[f176]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f175]) ).
cnf(c_52,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f174]) ).
cnf(c_53,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f173]) ).
cnf(c_54,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f172]) ).
cnf(c_63,plain,
( ~ r2_hidden(sK2(X0,X1,X2),X1)
| ~ r2_hidden(sK2(X0,X1,X2),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_64,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(sK2(X1,X0,X2),X0)
| r2_hidden(sK2(X1,X0,X2),X2)
| r1_filter_2(X1,X0,X2)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_65,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| m1_subset_1(sK2(X1,X0,X2),X1)
| r1_filter_2(X1,X0,X2)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_69,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_filter_2(k18_filter_2(X1,X0),X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_70,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_lattice4(k22_filter_2(X1,X0,X2),X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_72,plain,
( ~ l1_lattices(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f197]) ).
cnf(c_74,plain,
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_75,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f201]) ).
cnf(c_76,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f200]) ).
cnf(c_77,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_lattice4(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_79,plain,
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f204]) ).
cnf(c_87,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_115,plain,
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| r2_hidden(X1,k18_filter_2(X0,X2))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_116,plain,
( ~ r2_hidden(X0,k18_filter_2(X1,X2))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r3_lattices(X1,X0,X2)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f240]) ).
cnf(c_121,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r3_lattices(X1,k5_lattices(X1),X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_123,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f248]) ).
cnf(c_124,plain,
( ~ r3_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| r2_hidden(X3,k22_filter_2(X0,X1,X2))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f251]) ).
cnf(c_125,plain,
( ~ r2_hidden(X0,k22_filter_2(X1,X2,X3))
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r3_lattices(X1,X0,X3)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f250]) ).
cnf(c_135,plain,
( ~ l3_lattices(sK0)
| l1_lattices(sK0) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_136,plain,
( ~ l3_lattices(sK0)
| l2_lattices(sK0) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_137,plain,
( ~ l2_lattices(sK0)
| l1_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_148,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_150,plain,
( ~ l1_lattices(sK0)
| m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_327,plain,
( ~ r2_hidden(sK2(X0,X1,X2),X1)
| ~ r2_hidden(sK2(X0,X1,X2),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r1_filter_2(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_123]) ).
cnf(c_2133,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| m2_filter_2(k18_filter_2(sK0,sK1),sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_2147,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ v13_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r3_lattices(sK0,k5_lattices(sK0),sK1)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_2152,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| m2_lattice4(k22_filter_2(sK0,X0,sK1),sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_2266,plain,
( ~ m2_filter_2(k18_filter_2(sK0,sK1),sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| m2_lattice4(k18_filter_2(sK0,sK1),sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_2270,plain,
( ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| m2_lattice4(k22_filter_2(sK0,k5_lattices(sK0),sK1),sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_2152]) ).
cnf(c_2843,plain,
( ~ m2_lattice4(k22_filter_2(sK0,k5_lattices(sK0),sK1),sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_3275,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r2_hidden(X0,k18_filter_2(sK0,sK1))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_3291,plain,
( ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
| r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_3292,plain,
( ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_3335,plain,
( ~ m2_lattice4(k18_filter_2(sK0,sK1),sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_3477,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
| ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)) ),
inference(instantiation,[status(thm)],[c_327]) ).
cnf(c_3501,plain,
( ~ r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),X0)
| ~ r3_lattices(sK0,X1,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ r3_lattices(sK0,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,X1,X0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_3506,plain,
( ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_3275]) ).
cnf(c_4272,plain,
( ~ r3_lattices(sK0,k5_lattices(sK0),sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)))
| ~ r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),X0)
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ r3_lattices(sK0,k5_lattices(sK0),X0)
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),X0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_3501]) ).
cnf(c_4279,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_4280,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,X0,sK1))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_6099,plain,
( ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ v13_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r3_lattices(sK0,k5_lattices(sK0),sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_7134,plain,
( ~ r3_lattices(sK0,k5_lattices(sK0),sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_4272]) ).
cnf(c_7153,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_4280]) ).
cnf(c_7429,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7153,c_7134,c_6099,c_4279,c_3506,c_3477,c_3335,c_3292,c_3291,c_2843,c_2270,c_2266,c_2147,c_2133,c_49,c_150,c_148,c_137,c_136,c_135,c_51,c_54,c_50,c_52,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT330+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 18:31:09 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.88/4.64 % SZS status Started for theBenchmark.p
% 27.88/4.64 % SZS status Theorem for theBenchmark.p
% 27.88/4.64
% 27.88/4.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 27.88/4.64
% 27.88/4.64 ------ iProver source info
% 27.88/4.64
% 27.88/4.64 git: date: 2024-05-02 19:28:25 +0000
% 27.88/4.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 27.88/4.64 git: non_committed_changes: false
% 27.88/4.64
% 27.88/4.64 ------ Parsing...
% 27.88/4.64 ------ Clausification by vclausify_rel & Parsing by iProver...
% 27.88/4.64
% 27.88/4.64 ------ Preprocessing...
% 27.88/4.64
% 27.88/4.64 ------ Preprocessing...
% 27.88/4.64
% 27.88/4.64 ------ Preprocessing...
% 27.88/4.64 ------ Proving...
% 27.88/4.64 ------ Problem Properties
% 27.88/4.64
% 27.88/4.64
% 27.88/4.64 clauses 80
% 27.88/4.64 conjectures 6
% 27.88/4.64 EPR 33
% 27.88/4.64 Horn 42
% 27.88/4.64 unary 20
% 27.88/4.64 binary 11
% 27.88/4.64 lits 296
% 27.88/4.64 lits eq 7
% 27.88/4.64 fd_pure 0
% 27.88/4.64 fd_pseudo 0
% 27.88/4.64 fd_cond 1
% 27.88/4.64 fd_pseudo_cond 4
% 27.88/4.64 AC symbols 0
% 27.88/4.64
% 27.88/4.64 ------ Input Options Time Limit: Unbounded
% 27.88/4.64
% 27.88/4.64
% 27.88/4.64 ------
% 27.88/4.64 Current options:
% 27.88/4.64 ------
% 27.88/4.64
% 27.88/4.64
% 27.88/4.64
% 27.88/4.64
% 27.88/4.64 ------ Proving...
% 27.88/4.64
% 27.88/4.64
% 27.88/4.64 % SZS status Theorem for theBenchmark.p
% 27.88/4.64
% 27.88/4.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.88/4.64
% 27.88/4.64
%------------------------------------------------------------------------------