TSTP Solution File: LAT328+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT328+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 137.40s 19.18s
% Output : CNFRefutation 137.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 23
% Syntax : Number of formulae : 246 ( 22 unt; 0 def)
% Number of atoms : 1314 ( 85 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 1836 ( 768 ~; 899 |; 120 &)
% ( 12 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 487 ( 10 sgn; 226 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_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))
=> r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f5,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f8,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(f9,axiom,
! [X0,X1] :
( k1_tarski(X0) = X1
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f13,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(f14,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,X0)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_domain_1) ).
fof(f15,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_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(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/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f28,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(f42,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,X0)
& ~ v1_xboole_0(X0) )
=> k6_domain_1(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(f44,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f47,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> r3_lattices(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
fof(f48,axiom,
! [X0,X1,X2] :
( ( 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(f50,axiom,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r1_lattices(X0,X2,X1)
& r1_lattices(X0,X1,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
fof(f53,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f54,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f55,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(f63,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1))
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f64,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1))
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f63]) ).
fof(f66,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f67,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f66]) ).
fof(f71,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,[],[f8]) ).
fof(f72,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,[],[f13]) ).
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(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f75,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f77,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f78,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f79,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(f80,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,[],[f79]) ).
fof(f83,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f84,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f83]) ).
fof(f90,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f91,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(flattening,[],[f90]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f94]) ).
fof(f98,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f99,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1,X2] :
( r1_filter_2(X0,X2,X1)
| ~ 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(ennf_transformation,[],[f48]) ).
fof(f101,plain,
! [X0,X1,X2] :
( r1_filter_2(X0,X2,X1)
| ~ 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,[],[f100]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_lattices(X0,X2,X1)
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_lattices(X0,X2,X1)
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f103]) ).
fof(f108,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f109,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f111,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,[],[f55]) ).
fof(f112,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,[],[f111]) ).
fof(f116,plain,
( ? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1))
& 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),k22_filter_2(sK0,X1,X1),k6_domain_1(u1_struct_0(sK0),X1))
& m1_subset_1(X1,u1_struct_0(sK0)) )
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(sK0),k22_filter_2(sK0,X1,X1),k6_domain_1(u1_struct_0(sK0),X1))
& m1_subset_1(X1,u1_struct_0(sK0)) )
=> ( ~ r1_filter_2(u1_struct_0(sK0),k22_filter_2(sK0,sK1,sK1),k6_domain_1(u1_struct_0(sK0),sK1))
& m1_subset_1(sK1,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k22_filter_2(sK0,sK1,sK1),k6_domain_1(u1_struct_0(sK0),sK1))
& 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])],[f64,f117,f116]) ).
fof(f119,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,[],[f71]) ).
fof(f120,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,[],[f119]) ).
fof(f121,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,[],[f120]) ).
fof(f122,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(f123,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])],[f121,f122]) ).
fof(f124,plain,
! [X0,X1] :
( ( k1_tarski(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X0 = X2
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ r2_hidden(X2,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f125,plain,
! [X0,X1] :
( ( k1_tarski(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X0 = X2
| r2_hidden(X2,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(rectify,[],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X0 = X2
| r2_hidden(X2,X1) ) )
=> ( ( sK3(X0,X1) != X0
| ~ r2_hidden(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| r2_hidden(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0,X1] :
( ( k1_tarski(X0) = X1
| ( ( sK3(X0,X1) != X0
| ~ r2_hidden(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| r2_hidden(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f125,f126]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ( ( r3_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X1,X2) )
& ( r1_lattices(X0,X1,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)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f95]) ).
fof(f160,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,[],[f112]) ).
fof(f161,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,[],[f160]) ).
fof(f162,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f163,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f164,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f165,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f118]) ).
fof(f166,plain,
~ r1_filter_2(u1_struct_0(sK0),k22_filter_2(sK0,sK1,sK1),k6_domain_1(u1_struct_0(sK0),sK1)),
inference(cnf_transformation,[],[f118]) ).
fof(f169,plain,
! [X0] :
( v4_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f171,plain,
! [X0] :
( v6_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f173,plain,
! [X0] :
( v8_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f174,plain,
! [X0] :
( v9_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f180,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,[],[f123]) ).
fof(f181,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,[],[f123]) ).
fof(f182,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,[],[f123]) ).
fof(f183,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ r2_hidden(X3,X1)
| k1_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f184,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| X0 != X3
| k1_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f188,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,[],[f73]) ).
fof(f189,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f190,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f191,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f192,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f194,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,[],[f80]) ).
fof(f201,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f223,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f226,plain,
! [X2,X0,X1] :
( r1_lattices(X0,X1,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)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f230,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f231,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X2,X1)
| ~ 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(cnf_transformation,[],[f101]) ).
fof(f233,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ r1_lattices(X0,X2,X1)
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f236,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f238,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,[],[f161]) ).
fof(f239,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,[],[f161]) ).
fof(f240,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,[],[f161]) ).
fof(f244,plain,
! [X3,X1] :
( r2_hidden(X3,X1)
| k1_tarski(X3) != X1 ),
inference(equality_resolution,[],[f184]) ).
fof(f245,plain,
! [X3] : r2_hidden(X3,k1_tarski(X3)),
inference(equality_resolution,[],[f244]) ).
fof(f246,plain,
! [X3,X0] :
( X0 = X3
| ~ r2_hidden(X3,k1_tarski(X0)) ),
inference(equality_resolution,[],[f183]) ).
cnf(c_49,negated_conjecture,
~ r1_filter_2(u1_struct_0(sK0),k22_filter_2(sK0,sK1,sK1),k6_domain_1(u1_struct_0(sK0),sK1)),
inference(cnf_transformation,[],[f166]) ).
cnf(c_50,negated_conjecture,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f165]) ).
cnf(c_51,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f164]) ).
cnf(c_52,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f163]) ).
cnf(c_53,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f162]) ).
cnf(c_55,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_56,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_58,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_60,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f169]) ).
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,[],[f182]) ).
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,[],[f181]) ).
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,[],[f180]) ).
cnf(c_70,plain,
r2_hidden(X0,k1_tarski(X0)),
inference(cnf_transformation,[],[f245]) ).
cnf(c_71,plain,
( ~ r2_hidden(X0,k1_tarski(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_72,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,[],[f188]) ).
cnf(c_74,plain,
( ~ m1_subset_1(X0,X1)
| m1_subset_1(k6_domain_1(X1,X0),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_75,plain,
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_76,plain,
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_77,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_78,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f192]) ).
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,[],[f194]) ).
cnf(c_86,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f201]) ).
cnf(c_108,plain,
( ~ m1_subset_1(X0,X1)
| k6_domain_1(X1,X0) = k1_tarski(X0)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f223]) ).
cnf(c_112,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)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| r1_lattices(X0,X1,X2)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f226]) ).
cnf(c_115,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| r3_lattices(X1,X0,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f230]) ).
cnf(c_116,plain,
( ~ r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r1_filter_2(X0,X2,X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_118,plain,
( ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| X1 = X2
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_121,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X0)
| m1_subset_1(X2,X1) ),
inference(cnf_transformation,[],[f236]) ).
cnf(c_122,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_123,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,[],[f240]) ).
cnf(c_124,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,[],[f239]) ).
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,X2,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f238]) ).
cnf(c_138,plain,
( ~ l3_lattices(sK0)
| l2_lattices(sK0) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_139,plain,
( ~ l2_lattices(sK0)
| l1_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_151,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_341,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_122]) ).
cnf(c_720,plain,
( X0 != X1
| ~ l3_lattices(X0)
| l1_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_78,c_75]) ).
cnf(c_721,plain,
( ~ l3_lattices(X0)
| l1_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_720]) ).
cnf(c_739,plain,
( X0 != X1
| ~ r1_lattices(X1,X2,X3)
| ~ r1_lattices(X1,X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l2_lattices(X1)
| X2 = X3
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_60,c_118]) ).
cnf(c_740,plain,
( ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l2_lattices(X0)
| X1 = X2
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_739]) ).
cnf(c_742,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r1_lattices(X0,X2,X1)
| ~ r1_lattices(X0,X1,X2)
| X1 = X2
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_740,c_77,c_740]) ).
cnf(c_743,plain,
( ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| X1 = X2
| v3_struct_0(X0) ),
inference(renaming,[status(thm)],[c_742]) ).
cnf(c_785,plain,
( k22_filter_2(X0,X1,X2) != X3
| X0 != X4
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ l3_lattices(X4)
| ~ v10_lattices(X0)
| ~ v10_lattices(X4)
| m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X0)
| v3_struct_0(X4) ),
inference(resolution_lifted,[status(thm)],[c_72,c_79]) ).
cnf(c_786,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k22_filter_2(X1,X0,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_785]) ).
cnf(c_850,plain,
( X0 != X1
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X0)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| r1_lattices(X1,X2,X3)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_55,c_112]) ).
cnf(c_851,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)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| r1_lattices(X0,X1,X2)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_850]) ).
cnf(c_853,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)
| r1_lattices(X0,X1,X2)
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_851,c_58,c_56,c_55,c_112]) ).
cnf(c_904,plain,
( X0 != X1
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| r3_lattices(X0,X2,X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_115,c_55]) ).
cnf(c_905,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| r3_lattices(X1,X0,X0)
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_904]) ).
cnf(c_923,plain,
( ~ 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,X0)
| v3_struct_0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_905,c_58,c_56]) ).
cnf(c_975,plain,
( X0 != X1
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_721,c_86]) ).
cnf(c_976,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_975]) ).
cnf(c_1110,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| r3_lattices(X0,X1,X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_923]) ).
cnf(c_1111,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| r3_lattices(sK0,X0,X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1110]) ).
cnf(c_1113,plain,
( r3_lattices(sK0,X0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1111,c_51,c_53,c_1111]) ).
cnf(c_1114,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r3_lattices(sK0,X0,X0) ),
inference(renaming,[status(thm)],[c_1113]) ).
cnf(c_1125,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| m1_subset_1(k22_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_786]) ).
cnf(c_1126,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| m1_subset_1(k22_filter_2(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1125]) ).
cnf(c_1128,plain,
( m1_subset_1(k22_filter_2(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1126,c_51,c_53,c_1126]) ).
cnf(c_1129,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| m1_subset_1(k22_filter_2(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(renaming,[status(thm)],[c_1128]) ).
cnf(c_1140,plain,
( X0 != sK0
| ~ r2_hidden(X1,k22_filter_2(X0,X2,X3))
| ~ r3_lattices(X0,X2,X3)
| ~ 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)
| r3_lattices(X0,X2,X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_125]) ).
cnf(c_1141,plain,
( ~ r2_hidden(X0,k22_filter_2(sK0,X1,X2))
| ~ r3_lattices(sK0,X1,X2)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| r3_lattices(sK0,X1,X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1140]) ).
cnf(c_1142,plain,
( r3_lattices(sK0,X1,X0)
| ~ r2_hidden(X0,k22_filter_2(sK0,X1,X2))
| ~ r3_lattices(sK0,X1,X2)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1141,c_51,c_53,c_1141]) ).
cnf(c_1143,plain,
( ~ r2_hidden(X0,k22_filter_2(sK0,X1,X2))
| ~ r3_lattices(sK0,X1,X2)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| r3_lattices(sK0,X1,X0) ),
inference(renaming,[status(thm)],[c_1142]) ).
cnf(c_1162,plain,
( X0 != sK0
| ~ r2_hidden(X1,k22_filter_2(X0,X2,X3))
| ~ r3_lattices(X0,X2,X3)
| ~ 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)
| r3_lattices(X0,X1,X3)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_124]) ).
cnf(c_1163,plain,
( ~ r2_hidden(X0,k22_filter_2(sK0,X1,X2))
| ~ r3_lattices(sK0,X1,X2)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| r3_lattices(sK0,X0,X2)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1162]) ).
cnf(c_1164,plain,
( r3_lattices(sK0,X0,X2)
| ~ r2_hidden(X0,k22_filter_2(sK0,X1,X2))
| ~ r3_lattices(sK0,X1,X2)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1163,c_51,c_53,c_1163]) ).
cnf(c_1165,plain,
( ~ r2_hidden(X0,k22_filter_2(sK0,X1,X2))
| ~ r3_lattices(sK0,X1,X2)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| r3_lattices(sK0,X0,X2) ),
inference(renaming,[status(thm)],[c_1164]) ).
cnf(c_1200,plain,
( X0 != sK0
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| r1_lattices(X0,X1,X2)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_853]) ).
cnf(c_1201,plain,
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| r1_lattices(sK0,X0,X1)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1200]) ).
cnf(c_1203,plain,
( r1_lattices(sK0,X0,X1)
| ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1201,c_51,c_53,c_1201]) ).
cnf(c_1204,plain,
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r1_lattices(sK0,X0,X1) ),
inference(renaming,[status(thm)],[c_1203]) ).
cnf(c_1232,plain,
( X0 != sK0
| ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| X1 = X2
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_743]) ).
cnf(c_1233,plain,
( ~ r1_lattices(sK0,X0,X1)
| ~ r1_lattices(sK0,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| X0 = X1
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1232]) ).
cnf(c_1235,plain,
( X0 = X1
| ~ r1_lattices(sK0,X0,X1)
| ~ r1_lattices(sK0,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1233,c_51,c_53,c_1233]) ).
cnf(c_1236,plain,
( ~ r1_lattices(sK0,X0,X1)
| ~ r1_lattices(sK0,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| X0 = X1 ),
inference(renaming,[status(thm)],[c_1235]) ).
cnf(c_1253,plain,
( X0 != sK0
| ~ 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)
| r2_hidden(X3,k22_filter_2(X0,X1,X2))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_123]) ).
cnf(c_1254,plain,
( ~ r3_lattices(sK0,X0,X1)
| ~ r3_lattices(sK0,X0,X2)
| ~ r3_lattices(sK0,X2,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| r2_hidden(X2,k22_filter_2(sK0,X0,X1))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1253]) ).
cnf(c_1256,plain,
( r2_hidden(X2,k22_filter_2(sK0,X0,X1))
| ~ r3_lattices(sK0,X0,X1)
| ~ r3_lattices(sK0,X0,X2)
| ~ r3_lattices(sK0,X2,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1254,c_51,c_53,c_1254]) ).
cnf(c_1257,plain,
( ~ r3_lattices(sK0,X0,X1)
| ~ r3_lattices(sK0,X0,X2)
| ~ r3_lattices(sK0,X2,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| r2_hidden(X2,k22_filter_2(sK0,X0,X1)) ),
inference(renaming,[status(thm)],[c_1256]) ).
cnf(c_1346,plain,
( X0 != sK0
| ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_976]) ).
cnf(c_1347,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1346]) ).
cnf(c_1348,plain,
~ v1_xboole_0(u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1347,c_51,c_53,c_138,c_139,c_151]) ).
cnf(c_2187,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_1114]) ).
cnf(c_2188,plain,
( r3_lattices(sK0,X0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_1114]) ).
cnf(c_2189,plain,
( sP0_iProver_split
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1114]) ).
cnf(c_3088,plain,
~ sP0_iProver_split,
inference(superposition,[status(thm)],[c_50,c_2187]) ).
cnf(c_3089,plain,
sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_2189,c_3088]) ).
cnf(c_3090,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r3_lattices(sK0,X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2188,c_3089]) ).
cnf(c_3096,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,sK1)
| r1_lattices(sK0,X0,sK1) ),
inference(superposition,[status(thm)],[c_50,c_1204]) ).
cnf(c_3100,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_lattices(sK0,X0,sK1)
| ~ r1_lattices(sK0,sK1,X0)
| X0 = sK1 ),
inference(superposition,[status(thm)],[c_50,c_1236]) ).
cnf(c_3122,plain,
r3_lattices(sK0,sK1,sK1),
inference(superposition,[status(thm)],[c_50,c_3090]) ).
cnf(c_3325,plain,
( k6_domain_1(u1_struct_0(sK0),sK1) = k1_tarski(sK1)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_50,c_108]) ).
cnf(c_3341,plain,
k6_domain_1(u1_struct_0(sK0),sK1) = k1_tarski(sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_3325,c_1348]) ).
cnf(c_3353,plain,
~ r1_filter_2(u1_struct_0(sK0),k22_filter_2(sK0,sK1,sK1),k1_tarski(sK1)),
inference(demodulation,[status(thm)],[c_49,c_3341]) ).
cnf(c_3417,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_3341,c_74]) ).
cnf(c_3418,plain,
m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_3417,c_1348,c_50]) ).
cnf(c_3420,plain,
( ~ r2_hidden(X0,k1_tarski(sK1))
| m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_3418,c_121]) ).
cnf(c_3506,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r1_filter_2(u1_struct_0(sK0),X0,k1_tarski(sK1))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_3418,c_116]) ).
cnf(c_3507,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r1_filter_2(u1_struct_0(sK0),X0,k1_tarski(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3506,c_1348]) ).
cnf(c_3541,plain,
( ~ r3_lattices(sK0,X0,sK2(u1_struct_0(sK0),X1,X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_lattices(sK0,X0,sK2(u1_struct_0(sK0),X1,X2))
| r1_filter_2(u1_struct_0(sK0),X1,X2)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_65,c_1204]) ).
cnf(c_3544,plain,
( ~ r1_lattices(sK0,sK2(u1_struct_0(sK0),X0,X1),sK1)
| ~ r1_lattices(sK0,sK1,sK2(u1_struct_0(sK0),X0,X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| sK2(u1_struct_0(sK0),X0,X1) = sK1
| r1_filter_2(u1_struct_0(sK0),X0,X1)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_65,c_3100]) ).
cnf(c_3545,plain,
( ~ r3_lattices(sK0,sK2(u1_struct_0(sK0),X0,X1),sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| r1_lattices(sK0,sK2(u1_struct_0(sK0),X0,X1),sK1)
| r1_filter_2(u1_struct_0(sK0),X0,X1)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_65,c_3096]) ).
cnf(c_3552,plain,
( ~ r3_lattices(sK0,sK2(u1_struct_0(sK0),X0,X1),sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| r1_lattices(sK0,sK2(u1_struct_0(sK0),X0,X1),sK1)
| r1_filter_2(u1_struct_0(sK0),X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3545,c_1348]) ).
cnf(c_3554,plain,
( ~ r3_lattices(sK0,X0,sK2(u1_struct_0(sK0),X1,X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_lattices(sK0,X0,sK2(u1_struct_0(sK0),X1,X2))
| r1_filter_2(u1_struct_0(sK0),X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3541,c_1348]) ).
cnf(c_3557,plain,
( ~ r1_lattices(sK0,sK2(u1_struct_0(sK0),X0,X1),sK1)
| ~ r1_lattices(sK0,sK1,sK2(u1_struct_0(sK0),X0,X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| sK2(u1_struct_0(sK0),X0,X1) = sK1
| r1_filter_2(u1_struct_0(sK0),X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3544,c_1348]) ).
cnf(c_3963,plain,
( ~ m1_subset_1(sK2(X0,X1,k22_filter_2(sK0,X2,X3)),u1_struct_0(sK0))
| ~ m1_subset_1(k22_filter_2(sK0,X2,X3),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r3_lattices(sK0,X2,X3)
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ m1_subset_1(X3,u1_struct_0(sK0))
| r3_lattices(sK0,sK2(X0,X1,k22_filter_2(sK0,X2,X3)),X3)
| r2_hidden(sK2(X0,X1,k22_filter_2(sK0,X2,X3)),X1)
| r1_filter_2(X0,X1,k22_filter_2(sK0,X2,X3))
| v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_64,c_1165]) ).
cnf(c_3964,plain,
( ~ m1_subset_1(sK2(X0,X1,k22_filter_2(sK0,X2,X3)),u1_struct_0(sK0))
| ~ m1_subset_1(k22_filter_2(sK0,X2,X3),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r3_lattices(sK0,X2,X3)
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ m1_subset_1(X3,u1_struct_0(sK0))
| r3_lattices(sK0,X2,sK2(X0,X1,k22_filter_2(sK0,X2,X3)))
| r2_hidden(sK2(X0,X1,k22_filter_2(sK0,X2,X3)),X1)
| r1_filter_2(X0,X1,k22_filter_2(sK0,X2,X3))
| v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_64,c_1143]) ).
cnf(c_4232,plain,
( ~ m1_subset_1(k22_filter_2(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r3_lattices(sK0,sK2(u1_struct_0(sK0),X2,k22_filter_2(sK0,X0,X1)),X1)
| r2_hidden(sK2(u1_struct_0(sK0),X2,k22_filter_2(sK0,X0,X1)),X2)
| r1_filter_2(u1_struct_0(sK0),X2,k22_filter_2(sK0,X0,X1))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_65,c_3963]) ).
cnf(c_4233,plain,
( ~ m1_subset_1(k22_filter_2(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r3_lattices(sK0,sK2(u1_struct_0(sK0),X2,k22_filter_2(sK0,X0,X1)),X1)
| r2_hidden(sK2(u1_struct_0(sK0),X2,k22_filter_2(sK0,X0,X1)),X2)
| r1_filter_2(u1_struct_0(sK0),X2,k22_filter_2(sK0,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4232,c_1348]) ).
cnf(c_4248,plain,
( ~ m1_subset_1(k22_filter_2(sK0,X0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(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))
| r1_lattices(sK0,sK2(u1_struct_0(sK0),X1,k22_filter_2(sK0,X0,sK1)),sK1)
| r2_hidden(sK2(u1_struct_0(sK0),X1,k22_filter_2(sK0,X0,sK1)),X1)
| r1_filter_2(u1_struct_0(sK0),X1,k22_filter_2(sK0,X0,sK1)) ),
inference(superposition,[status(thm)],[c_4233,c_3552]) ).
cnf(c_4249,plain,
( ~ m1_subset_1(k22_filter_2(sK0,X0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,sK1)
| r1_lattices(sK0,sK2(u1_struct_0(sK0),X1,k22_filter_2(sK0,X0,sK1)),sK1)
| r2_hidden(sK2(u1_struct_0(sK0),X1,k22_filter_2(sK0,X0,sK1)),X1)
| r1_filter_2(u1_struct_0(sK0),X1,k22_filter_2(sK0,X0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4248,c_50]) ).
cnf(c_4307,plain,
( ~ m1_subset_1(k22_filter_2(sK0,X0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,sK1)
| m1_subset_1(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)),u1_struct_0(sK0))
| r1_lattices(sK0,sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)),sK1)
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)) ),
inference(superposition,[status(thm)],[c_4249,c_3420]) ).
cnf(c_4308,plain,
( ~ r1_lattices(sK0,sK1,sK2(u1_struct_0(sK0),X0,k22_filter_2(sK0,X1,sK1)))
| ~ m1_subset_1(k22_filter_2(sK0,X1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X1,sK1)
| sK2(u1_struct_0(sK0),X0,k22_filter_2(sK0,X1,sK1)) = sK1
| r2_hidden(sK2(u1_struct_0(sK0),X0,k22_filter_2(sK0,X1,sK1)),X0)
| r1_filter_2(u1_struct_0(sK0),X0,k22_filter_2(sK0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4249,c_3557]) ).
cnf(c_4310,plain,
( ~ m1_subset_1(k22_filter_2(sK0,X0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,sK1)
| m1_subset_1(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)),u1_struct_0(sK0))
| r1_lattices(sK0,sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)),sK1)
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4307,c_3418]) ).
cnf(c_4370,plain,
( ~ r1_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)))
| ~ m1_subset_1(k22_filter_2(sK0,X0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,sK1)
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)) = sK1
| m1_subset_1(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)),u1_struct_0(sK0))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)) ),
inference(superposition,[status(thm)],[c_4310,c_3557]) ).
cnf(c_4373,plain,
( ~ r1_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)))
| ~ m1_subset_1(k22_filter_2(sK0,X0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,sK1)
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)) = sK1
| m1_subset_1(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)),u1_struct_0(sK0))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4370,c_3418]) ).
cnf(c_7213,plain,
( ~ m1_subset_1(k22_filter_2(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r3_lattices(sK0,X0,sK2(u1_struct_0(sK0),X2,k22_filter_2(sK0,X0,X1)))
| r2_hidden(sK2(u1_struct_0(sK0),X2,k22_filter_2(sK0,X0,X1)),X2)
| r1_filter_2(u1_struct_0(sK0),X2,k22_filter_2(sK0,X0,X1))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_65,c_3964]) ).
cnf(c_7215,plain,
( ~ m1_subset_1(k22_filter_2(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r3_lattices(sK0,X0,sK2(u1_struct_0(sK0),X2,k22_filter_2(sK0,X0,X1)))
| r2_hidden(sK2(u1_struct_0(sK0),X2,k22_filter_2(sK0,X0,X1)),X2)
| r1_filter_2(u1_struct_0(sK0),X2,k22_filter_2(sK0,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7213,c_1348]) ).
cnf(c_7296,plain,
( ~ m1_subset_1(k22_filter_2(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r3_lattices(sK0,X0,sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,X1)))
| m1_subset_1(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,X1)),u1_struct_0(sK0))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,X1)) ),
inference(superposition,[status(thm)],[c_7215,c_3420]) ).
cnf(c_7305,plain,
( ~ m1_subset_1(k22_filter_2(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r3_lattices(sK0,X0,sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,X1)))
| m1_subset_1(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,X1)),u1_struct_0(sK0))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7296,c_3418]) ).
cnf(c_7429,plain,
( ~ m1_subset_1(k22_filter_2(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r1_lattices(sK0,X0,sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,X1)))
| m1_subset_1(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,X1)),u1_struct_0(sK0))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,X1)) ),
inference(superposition,[status(thm)],[c_7305,c_3554]) ).
cnf(c_7431,plain,
( ~ m1_subset_1(k22_filter_2(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r1_lattices(sK0,X0,sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,X1)))
| m1_subset_1(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,X1)),u1_struct_0(sK0))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7429,c_3418]) ).
cnf(c_7549,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ r3_lattices(sK0,sK1,sK1)
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1
| m1_subset_1(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)),u1_struct_0(sK0))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) ),
inference(superposition,[status(thm)],[c_7431,c_4373]) ).
cnf(c_7550,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1
| m1_subset_1(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)),u1_struct_0(sK0))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7549,c_3122,c_50]) ).
cnf(c_7577,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ r3_lattices(sK0,sK1,sK1)
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1
| r2_hidden(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)),k1_tarski(sK1))
| r3_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_7550,c_3964]) ).
cnf(c_7583,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1
| r2_hidden(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)),k1_tarski(sK1))
| r3_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7577,c_1348,c_3122,c_50,c_3418]) ).
cnf(c_7662,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1
| r2_hidden(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)),k1_tarski(sK1))
| r1_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) ),
inference(superposition,[status(thm)],[c_7583,c_3554]) ).
cnf(c_7664,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1
| r2_hidden(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)),k1_tarski(sK1))
| r1_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7662,c_50,c_3418]) ).
cnf(c_7669,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ r3_lattices(sK0,sK1,sK1)
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1
| r2_hidden(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)),k1_tarski(sK1))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) ),
inference(superposition,[status(thm)],[c_7664,c_4308]) ).
cnf(c_7671,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1
| r2_hidden(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)),k1_tarski(sK1))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7669,c_3122,c_50,c_3418]) ).
cnf(c_7697,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) ),
inference(superposition,[status(thm)],[c_7671,c_71]) ).
cnf(c_7775,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1
| r1_filter_2(u1_struct_0(sK0),k22_filter_2(sK0,sK1,sK1),k1_tarski(sK1)) ),
inference(superposition,[status(thm)],[c_7697,c_3507]) ).
cnf(c_7777,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_7775,c_3353]) ).
cnf(c_7778,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1 ),
inference(superposition,[status(thm)],[c_1129,c_7777]) ).
cnf(c_7779,plain,
sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) = sK1,
inference(forward_subsumption_resolution,[status(thm)],[c_7778,c_50]) ).
cnf(c_7785,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)),k22_filter_2(sK0,sK1,sK1))
| ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r2_hidden(sK1,k1_tarski(sK1))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) ),
inference(superposition,[status(thm)],[c_7779,c_341]) ).
cnf(c_7820,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k1_tarski(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r2_hidden(sK1,k22_filter_2(sK0,sK1,sK1))
| ~ r2_hidden(sK1,k1_tarski(sK1))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) ),
inference(demodulation,[status(thm)],[c_7785,c_7779]) ).
cnf(c_7821,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r2_hidden(sK1,k22_filter_2(sK0,sK1,sK1))
| r1_filter_2(u1_struct_0(sK0),k1_tarski(sK1),k22_filter_2(sK0,sK1,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7820,c_70,c_3418]) ).
cnf(c_7843,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r2_hidden(sK1,k22_filter_2(sK0,sK1,sK1))
| r1_filter_2(u1_struct_0(sK0),k22_filter_2(sK0,sK1,sK1),k1_tarski(sK1)) ),
inference(superposition,[status(thm)],[c_7821,c_3507]) ).
cnf(c_7845,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r2_hidden(sK1,k22_filter_2(sK0,sK1,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7843,c_3353]) ).
cnf(c_7846,plain,
( ~ r2_hidden(sK1,k22_filter_2(sK0,sK1,sK1))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_1129,c_7845]) ).
cnf(c_7847,plain,
~ r2_hidden(sK1,k22_filter_2(sK0,sK1,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_7846,c_50]) ).
cnf(c_7848,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ r3_lattices(sK0,sK1,sK1) ),
inference(superposition,[status(thm)],[c_1257,c_7847]) ).
cnf(c_7849,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7848,c_3122,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : LAT328+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.08 % Command : run_iprover %s %d THM
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Thu Aug 24 06:54:11 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.07/0.36 Running first-order theorem proving
% 0.07/0.36 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 137.40/19.18 % SZS status Started for theBenchmark.p
% 137.40/19.18 % SZS status Theorem for theBenchmark.p
% 137.40/19.18
% 137.40/19.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 137.40/19.18
% 137.40/19.18 ------ iProver source info
% 137.40/19.18
% 137.40/19.18 git: date: 2023-05-31 18:12:56 +0000
% 137.40/19.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 137.40/19.18 git: non_committed_changes: false
% 137.40/19.18 git: last_make_outside_of_git: false
% 137.40/19.18
% 137.40/19.18 ------ Parsing...
% 137.40/19.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 137.40/19.18
% 137.40/19.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe_e
% 137.40/19.18
% 137.40/19.18 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 137.40/19.18
% 137.40/19.18 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 137.40/19.18 ------ Proving...
% 137.40/19.18 ------ Problem Properties
% 137.40/19.18
% 137.40/19.18
% 137.40/19.18 clauses 73
% 137.40/19.18 conjectures 3
% 137.40/19.18 EPR 15
% 137.40/19.18 Horn 58
% 137.40/19.18 unary 27
% 137.40/19.18 binary 21
% 137.40/19.18 lits 173
% 137.40/19.18 lits eq 12
% 137.40/19.18 fd_pure 0
% 137.40/19.18 fd_pseudo 0
% 137.40/19.18 fd_cond 1
% 137.40/19.18 fd_pseudo_cond 5
% 137.40/19.18 AC symbols 0
% 137.40/19.18
% 137.40/19.18 ------ Input Options Time Limit: Unbounded
% 137.40/19.18
% 137.40/19.18
% 137.40/19.18 ------
% 137.40/19.18 Current options:
% 137.40/19.18 ------
% 137.40/19.18
% 137.40/19.18
% 137.40/19.18
% 137.40/19.18
% 137.40/19.18 ------ Proving...
% 137.40/19.18
% 137.40/19.18
% 137.40/19.18 % SZS status Theorem for theBenchmark.p
% 137.40/19.18
% 137.40/19.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 137.40/19.19
% 138.36/19.19
%------------------------------------------------------------------------------