TSTP Solution File: LAT329+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT329+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 : Thu Aug 31 06:17:49 EDT 2023
% Result : Theorem 61.94s 9.29s
% Output : CNFRefutation 61.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 145 ( 16 unt; 0 def)
% Number of atoms : 777 ( 37 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 1061 ( 429 ~; 489 |; 95 &)
% ( 13 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 250 ( 0 sgn; 162 !; 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))
=> ( v14_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_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))
=> ( v14_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0))) ) ) ),
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/sandbox/benchmark/theBenchmark.p',d1_filter_2) ).
fof(f11,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/sandbox/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(f13,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_2(k2_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_filter_2) ).
fof(f14,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f17,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f19,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f22,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/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f32,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f43,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f44,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f51,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,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_filter_0) ).
fof(f56,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r3_lattices(X0,X1,k6_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_lattices) ).
fof(f59,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/sandbox/benchmark/theBenchmark.p',t63_filter_2) ).
fof(f66,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0)))
& v14_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(f67,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0)))
& v14_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f66]) ).
fof(f73,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(f76,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,[],[f11]) ).
fof(f77,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,[],[f76]) ).
fof(f80,plain,
! [X0,X1] :
( m1_filter_2(k2_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,[],[f13]) ).
fof(f81,plain,
! [X0,X1] :
( m1_filter_2(k2_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,[],[f80]) ).
fof(f82,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f83,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f82]) ).
fof(f85,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f86,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f87]) ).
fof(f91,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,[],[f22]) ).
fof(f92,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,[],[f91]) ).
fof(f99,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f100,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f99]) ).
fof(f108,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f109,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f110]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) )
| ~ 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,[],[f51]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) )
| ~ 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,[],[f122]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( r3_lattices(X0,X1,k6_lattices(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( r3_lattices(X0,X1,k6_lattices(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f129]) ).
fof(f134,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,[],[f59]) ).
fof(f135,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,[],[f134]) ).
fof(f139,plain,
( ? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0)))
& v14_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),k2_filter_2(sK0,X1),k22_filter_2(sK0,X1,k6_lattices(sK0)))
& v14_lattices(sK0)
& m1_subset_1(X1,u1_struct_0(sK0)) )
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,X1),k22_filter_2(sK0,X1,k6_lattices(sK0)))
& v14_lattices(sK0)
& m1_subset_1(X1,u1_struct_0(sK0)) )
=> ( ~ r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
& v14_lattices(sK0)
& m1_subset_1(sK1,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
& v14_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])],[f67,f140,f139]) ).
fof(f142,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,[],[f73]) ).
fof(f143,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,[],[f142]) ).
fof(f144,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,[],[f143]) ).
fof(f145,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(f146,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])],[f144,f145]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f111]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X1,k2_filter_0(X0,X2))
| ~ r3_lattices(X0,X2,X1) )
& ( r3_lattices(X0,X2,X1)
| ~ r2_hidden(X1,k2_filter_0(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,[],[f123]) ).
fof(f188,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,[],[f135]) ).
fof(f189,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,[],[f188]) ).
fof(f190,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f191,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f192,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f193,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f141]) ).
fof(f194,plain,
v14_lattices(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f195,plain,
~ r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),
inference(cnf_transformation,[],[f141]) ).
fof(f208,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,[],[f146]) ).
fof(f209,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,[],[f146]) ).
fof(f210,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,[],[f146]) ).
fof(f213,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,[],[f77]) ).
fof(f215,plain,
! [X0,X1] :
( m1_filter_2(k2_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,[],[f81]) ).
fof(f216,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f218,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f220,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f222,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f225,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,[],[f92]) ).
fof(f234,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f253,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f254,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f264,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X2,X1)
| ~ r2_hidden(X1,k2_filter_0(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,[],[f184]) ).
fof(f265,plain,
! [X2,X0,X1] :
( r2_hidden(X1,k2_filter_0(X0,X2))
| ~ r3_lattices(X0,X2,X1)
| ~ 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,[],[f184]) ).
fof(f271,plain,
! [X0,X1] :
( r3_lattices(X0,X1,k6_lattices(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( 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(cnf_transformation,[],[f189]) ).
fof(f276,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,[],[f189]) ).
cnf(c_49,negated_conjecture,
~ r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),
inference(cnf_transformation,[],[f195]) ).
cnf(c_50,negated_conjecture,
v14_lattices(sK0),
inference(cnf_transformation,[],[f194]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f193]) ).
cnf(c_52,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f192]) ).
cnf(c_53,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f191]) ).
cnf(c_54,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f190]) ).
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,[],[f210]) ).
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,[],[f209]) ).
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,[],[f208]) ).
cnf(c_69,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,[],[f213]) ).
cnf(c_72,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_2(k2_filter_2(X1,X0),X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_73,plain,
( ~ l2_lattices(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f216]) ).
cnf(c_75,plain,
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f218]) ).
cnf(c_76,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f220]) ).
cnf(c_78,plain,
( ~ m1_filter_0(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,[],[f222]) ).
cnf(c_82,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,[],[f225]) ).
cnf(c_91,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f234]) ).
cnf(c_110,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k2_filter_2(X1,X0) = k2_filter_0(X1,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f253]) ).
cnf(c_112,plain,
( ~ m1_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f254]) ).
cnf(c_121,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(X2,k2_filter_0(X0,X1))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_122,plain,
( ~ r2_hidden(X0,k2_filter_0(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,X2,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f264]) ).
cnf(c_128,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r3_lattices(X1,X0,k6_lattices(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f271]) ).
cnf(c_131,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,[],[f276]) ).
cnf(c_133,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,X2,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_143,plain,
( ~ l3_lattices(sK0)
| l2_lattices(sK0) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_144,plain,
( ~ l2_lattices(sK0)
| l1_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_155,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_157,plain,
( ~ l2_lattices(sK0)
| m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_245,plain,
X0 = X0,
theory(equality) ).
cnf(c_247,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_258,plain,
( X0 != X1
| X2 != X3
| ~ r2_hidden(X1,X3)
| r2_hidden(X0,X2) ),
theory(equality) ).
cnf(c_318,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| m1_filter_2(k2_filter_2(sK0,sK1),sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_338,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| k2_filter_2(sK0,sK1) = k2_filter_0(sK0,sK1)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_343,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ v14_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r3_lattices(sK0,sK1,k6_lattices(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_128]) ).
cnf(c_356,plain,
( ~ m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m2_lattice4(k22_filter_2(X0,X1,k6_lattices(X0)),X0)
| v3_struct_0(X0) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_360,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| m1_subset_1(sK2(u1_struct_0(X1),X0,X2),u1_struct_0(X1))
| r1_filter_2(u1_struct_0(X1),X0,X2)
| v1_xboole_0(u1_struct_0(X1)) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_368,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(sK2(u1_struct_0(X1),X0,X2),X0)
| r2_hidden(sK2(u1_struct_0(X1),X0,X2),X2)
| r1_filter_2(u1_struct_0(X1),X0,X2)
| v1_xboole_0(u1_struct_0(X1)) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_418,plain,
( ~ m1_filter_2(k2_filter_2(sK0,sK1),sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| m1_filter_0(k2_filter_2(sK0,sK1),sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_428,plain,
( ~ r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| ~ r3_lattices(sK0,sK1,k6_lattices(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r3_lattices(sK0,sK1,X0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_1040,plain,
( ~ m1_subset_1(k6_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,sK1,k6_lattices(sK0)),sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_356]) ).
cnf(c_3865,plain,
( k2_filter_2(sK0,sK1) != X0
| X1 != X0
| X1 = k2_filter_2(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_247]) ).
cnf(c_4265,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k2_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(instantiation,[status(thm)],[c_360]) ).
cnf(c_4761,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k2_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_2(sK0,sK1))
| r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(instantiation,[status(thm)],[c_368]) ).
cnf(c_6453,plain,
( ~ m1_filter_0(k2_filter_2(sK0,sK1),sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| m1_subset_1(k2_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_6970,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,sK1,X0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r2_hidden(X0,k2_filter_0(sK0,sK1))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_7563,plain,
( ~ m2_lattice4(k22_filter_2(sK0,sK1,k6_lattices(sK0)),sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_8836,plain,
( ~ m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ v14_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r3_lattices(sK0,sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k6_lattices(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_128]) ).
cnf(c_8889,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_2(sK0,sK1))
| ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k2_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_8901,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| ~ r3_lattices(sK0,sK1,k6_lattices(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r3_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_428]) ).
cnf(c_9212,plain,
k2_filter_0(sK0,sK1) = k2_filter_0(sK0,sK1),
inference(instantiation,[status(thm)],[c_245]) ).
cnf(c_9546,plain,
( k2_filter_2(sK0,sK1) != k2_filter_0(sK0,sK1)
| X0 != k2_filter_0(sK0,sK1)
| X0 = k2_filter_2(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_3865]) ).
cnf(c_11807,plain,
( ~ r3_lattices(sK0,sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k6_lattices(sK0))
| ~ r3_lattices(sK0,X0,sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,k6_lattices(sK0))
| ~ m1_subset_1(k6_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),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,X0,k6_lattices(sK0)))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_131]) ).
cnf(c_11964,plain,
( X0 != sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| X1 != k2_filter_2(sK0,sK1)
| ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_2(sK0,sK1))
| r2_hidden(X0,X1) ),
inference(instantiation,[status(thm)],[c_258]) ).
cnf(c_13727,plain,
( ~ m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ r3_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_6970]) ).
cnf(c_17210,plain,
( sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))) != sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| X0 != k2_filter_2(sK0,sK1)
| ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_2(sK0,sK1))
| r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),X0) ),
inference(instantiation,[status(thm)],[c_11964]) ).
cnf(c_17211,plain,
sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))) = sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),
inference(instantiation,[status(thm)],[c_245]) ).
cnf(c_28989,plain,
( ~ r2_hidden(X0,k2_filter_0(sK0,sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r3_lattices(sK0,sK1,X0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_34601,plain,
( k2_filter_2(sK0,sK1) != k2_filter_0(sK0,sK1)
| k2_filter_0(sK0,sK1) != k2_filter_0(sK0,sK1)
| k2_filter_0(sK0,sK1) = k2_filter_2(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_9546]) ).
cnf(c_36192,plain,
( ~ r3_lattices(sK0,sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k6_lattices(sK0))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ r3_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))))
| ~ m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| ~ r3_lattices(sK0,sK1,k6_lattices(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_11807]) ).
cnf(c_36256,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| r3_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_28989]) ).
cnf(c_36525,plain,
( sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))) != sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| k2_filter_0(sK0,sK1) != k2_filter_2(sK0,sK1)
| ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_2(sK0,sK1))
| r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_17210]) ).
cnf(c_42117,plain,
( X0 != X1
| X2 != k2_filter_0(X3,X4)
| ~ r2_hidden(X1,k2_filter_0(X3,X4))
| r2_hidden(X0,X2) ),
inference(instantiation,[status(thm)],[c_258]) ).
cnf(c_44733,plain,
( X0 != sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| X1 != k2_filter_0(sK0,sK1)
| ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| r2_hidden(X0,X1) ),
inference(instantiation,[status(thm)],[c_42117]) ).
cnf(c_49331,plain,
( sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))) != sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| X0 != k2_filter_0(sK0,sK1)
| ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),X0) ),
inference(instantiation,[status(thm)],[c_44733]) ).
cnf(c_54694,plain,
( sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))) != sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| k2_filter_2(sK0,sK1) != k2_filter_0(sK0,sK1)
| ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| r2_hidden(sK2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_2(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_49331]) ).
cnf(c_54695,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_54694,c_36525,c_36256,c_36192,c_34601,c_17211,c_13727,c_9212,c_8901,c_8889,c_8836,c_7563,c_6453,c_4761,c_4265,c_1040,c_418,c_343,c_338,c_318,c_49,c_157,c_155,c_144,c_143,c_51,c_54,c_50,c_52,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT329+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.12/0.31 % Computer : n020.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Thu Aug 24 07:27:15 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 61.94/9.29 % SZS status Started for theBenchmark.p
% 61.94/9.29 % SZS status Theorem for theBenchmark.p
% 61.94/9.29
% 61.94/9.29 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 61.94/9.29
% 61.94/9.29 ------ iProver source info
% 61.94/9.29
% 61.94/9.29 git: date: 2023-05-31 18:12:56 +0000
% 61.94/9.29 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 61.94/9.29 git: non_committed_changes: false
% 61.94/9.29 git: last_make_outside_of_git: false
% 61.94/9.29
% 61.94/9.29 ------ Parsing...
% 61.94/9.29 ------ Clausification by vclausify_rel & Parsing by iProver...
% 61.94/9.29
% 61.94/9.29 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e
% 61.94/9.29
% 61.94/9.29 ------ Preprocessing...
% 61.94/9.29
% 61.94/9.29 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 61.94/9.29 ------ Proving...
% 61.94/9.29 ------ Problem Properties
% 61.94/9.29
% 61.94/9.29
% 61.94/9.29 clauses 87
% 61.94/9.29 conjectures 6
% 61.94/9.29 EPR 36
% 61.94/9.29 Horn 40
% 61.94/9.29 unary 20
% 61.94/9.29 binary 11
% 61.94/9.29 lits 335
% 61.94/9.29 lits eq 8
% 61.94/9.29 fd_pure 0
% 61.94/9.29 fd_pseudo 0
% 61.94/9.29 fd_cond 1
% 61.94/9.29 fd_pseudo_cond 4
% 61.94/9.29 AC symbols 0
% 61.94/9.29
% 61.94/9.29 ------ Input Options Time Limit: Unbounded
% 61.94/9.29
% 61.94/9.29
% 61.94/9.29 ------
% 61.94/9.29 Current options:
% 61.94/9.29 ------
% 61.94/9.29
% 61.94/9.29
% 61.94/9.29
% 61.94/9.29
% 61.94/9.29 ------ Proving...
% 61.94/9.29
% 61.94/9.29
% 61.94/9.29 % SZS status Theorem for theBenchmark.p
% 61.94/9.29
% 61.94/9.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.94/9.29
% 61.94/9.30
%------------------------------------------------------------------------------