TSTP Solution File: LAT311+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT311+1 : TPTP v8.2.0. 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 : Mon Jun 24 10:25:22 EDT 2024
% Result : Theorem 192.75s 25.72s
% Output : CNFRefutation 192.75s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [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,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_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))
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2)) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f10,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f11,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_filter_0) ).
fof(f12,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k5_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f13,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f16,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(f19,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f30,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f33,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f41,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f43,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f57,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(f63,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& ~ v1_xboole_0(X0) )
=> ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattices) ).
fof(f67,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f84,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k2_filter_0(X0,X1) = k2_filter_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f85,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k3_filter_0(X0,X1) = k3_filter_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_filter_2) ).
fof(f87,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f89,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f92,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,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_filter_0) ).
fof(f95,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_filter_2) ).
fof(f96,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
& ~ v1_xboole_0(X2) )
=> ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_filter_2) ).
fof(f97,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f98,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(f101,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f103,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f89]) ).
fof(f114,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2))
& r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f115,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2))
& r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f117,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f116]) ).
fof(f127,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( k2_filter_0(X0,X1) = a_2_0_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,[],[f11]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f132]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f138]) ).
fof(f144,plain,
! [X0] :
( ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f159,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f161,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f171,plain,
! [X0] :
( ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f172,plain,
! [X0] :
( ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f185,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f186,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f185]) ).
fof(f193,plain,
! [X0,X1,X2] :
( ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f193]) ).
fof(f201,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f202,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f201]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f208,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f207]) ).
fof(f214,plain,
! [X0,X1] :
( k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f215,plain,
! [X0,X1] :
( k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f214]) ).
fof(f216,plain,
! [X0,X1] :
( k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f217,plain,
! [X0,X1] :
( k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f216]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f225]) ).
fof(f230,plain,
! [X0] :
( ! [X1] :
( ( k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f231,plain,
! [X0] :
( ! [X1] :
( ( k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f230]) ).
fof(f232,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f233,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f232]) ).
fof(f234,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f235,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f234]) ).
fof(f238,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f240,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f241,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f202,f240]) ).
fof(f242,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2))
& r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k18_filter_2(sK1,X1),k19_filter_2(sK1,X2))
& r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,u1_struct_0(sK1)) )
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k18_filter_2(sK1,X1),k19_filter_2(sK1,X2))
& r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,u1_struct_0(sK1)) )
=> ( ? [X2] :
( ~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,X2))
& r2_hidden(sK2,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(sK2,u1_struct_0(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
( ? [X2] :
( ~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,X2))
& r2_hidden(sK2,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v1_xboole_0(X2) )
=> ( ~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,sK3))
& r2_hidden(sK2,sK3)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v1_xboole_0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
( ~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,sK3))
& r2_hidden(sK2,sK3)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v1_xboole_0(sK3)
& m1_subset_1(sK2,u1_struct_0(sK1))
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f115,f244,f243,f242]) ).
fof(f268,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f240]) ).
fof(f304,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f309,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f310,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f245]) ).
fof(f311,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f245]) ).
fof(f312,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f245]) ).
fof(f313,plain,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f245]) ).
fof(f314,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f245]) ).
fof(f315,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f245]) ).
fof(f316,plain,
r2_hidden(sK2,sK3),
inference(cnf_transformation,[],[f245]) ).
fof(f317,plain,
~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,sK3)),
inference(cnf_transformation,[],[f245]) ).
fof(f318,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f333,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f334,plain,
! [X0,X1] :
( k2_filter_0(X0,X1) = a_2_0_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,[],[f129]) ).
fof(f335,plain,
! [X0,X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f336,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f339,plain,
! [X2,X0,X1] :
( v3_lattices(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f340,plain,
! [X2,X0,X1] :
( l3_lattices(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f344,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f352,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f354,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f355,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f364,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f365,plain,
! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f366,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f367,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f368,plain,
! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f369,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f384,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f411,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f412,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f421,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f458,plain,
! [X0,X1] :
( k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f459,plain,
! [X0,X1] :
( k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f462,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f304]) ).
fof(f466,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f103]) ).
fof(f469,plain,
! [X2,X0,X1] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f473,plain,
! [X0,X1] :
( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f475,plain,
! [X2,X0,X1] :
( k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f479,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f309]) ).
fof(f480,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f309]) ).
fof(f481,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f484,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
cnf(c_49,negated_conjecture,
~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,sK3)),
inference(cnf_transformation,[],[f317]) ).
cnf(c_50,negated_conjecture,
r2_hidden(sK2,sK3),
inference(cnf_transformation,[],[f316]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f315]) ).
cnf(c_52,negated_conjecture,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f314]) ).
cnf(c_53,negated_conjecture,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f313]) ).
cnf(c_54,negated_conjecture,
l3_lattices(sK1),
inference(cnf_transformation,[],[f312]) ).
cnf(c_55,negated_conjecture,
v10_lattices(sK1),
inference(cnf_transformation,[],[f311]) ).
cnf(c_56,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f310]) ).
cnf(c_57,plain,
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f318]) ).
cnf(c_68,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) = k1_lattice2(X0) ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_69,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k2_filter_0(X1,X0) = a_2_0_filter_0(X1,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f334]) ).
cnf(c_70,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k5_filter_2(X1,X0) = X0
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_71,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X0) = X0
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f336]) ).
cnf(c_74,plain,
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X2)
| l3_lattices(g3_lattices(X1,X0,X2)) ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_75,plain,
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X2)
| v3_lattices(g3_lattices(X1,X0,X2)) ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_78,plain,
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f344]) ).
cnf(c_87,plain,
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_89,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_90,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f354]) ).
cnf(c_99,plain,
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_100,plain,
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_101,plain,
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_102,plain,
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_103,plain,
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_104,plain,
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_119,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_130,plain,
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v3_struct_0(g3_lattices(X1,X0,X2))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f394]) ).
cnf(c_138,plain,
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f411]) ).
cnf(c_147,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_158,plain,
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| X0 = X3 ),
inference(cnf_transformation,[],[f421]) ).
cnf(c_193,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k2_filter_0(X1,X0) = k2_filter_2(X1,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f458]) ).
cnf(c_194,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k3_filter_0(X1,X0) = k3_filter_2(X1,X0)
| v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_198,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f462]) ).
cnf(c_201,plain,
r1_tarski(X0,X0),
inference(cnf_transformation,[],[f466]) ).
cnf(c_204,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X0))
| v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f469]) ).
cnf(c_209,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0)) = k18_filter_2(X1,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_213,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
| v1_xboole_0(X0)
| v1_xboole_0(X2)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f475]) ).
cnf(c_214,plain,
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f480]) ).
cnf(c_215,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f479]) ).
cnf(c_216,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X0)
| m1_subset_1(X2,X1) ),
inference(cnf_transformation,[],[f481]) ).
cnf(c_219,plain,
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f484]) ).
cnf(c_352,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_198]) ).
cnf(c_354,plain,
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(prop_impl_just,[status(thm)],[c_215]) ).
cnf(c_355,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(renaming,[status(thm)],[c_354]) ).
cnf(c_356,plain,
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(prop_impl_just,[status(thm)],[c_214]) ).
cnf(c_364,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_90]) ).
cnf(c_366,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_89]) ).
cnf(c_372,plain,
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(prop_impl_just,[status(thm)],[c_219]) ).
cnf(c_392,plain,
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_87]) ).
cnf(c_394,plain,
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_99]) ).
cnf(c_396,plain,
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_100]) ).
cnf(c_398,plain,
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(prop_impl_just,[status(thm)],[c_101]) ).
cnf(c_404,plain,
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_102]) ).
cnf(c_406,plain,
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_103]) ).
cnf(c_408,plain,
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(prop_impl_just,[status(thm)],[c_104]) ).
cnf(c_698,plain,
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X2,X0)
| m1_subset_1(X2,X1) ),
inference(bin_hyper_res,[status(thm)],[c_216,c_356]) ).
cnf(c_868,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X0))
| v3_struct_0(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_204,c_372]) ).
cnf(c_1821,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_1(u1_lattices(X1)) ),
inference(resolution_lifted,[status(thm)],[c_364,c_398]) ).
cnf(c_1822,plain,
( ~ l3_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(unflattening,[status(thm)],[c_1821]) ).
cnf(c_1830,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_364,c_396]) ).
cnf(c_1831,plain,
( ~ l3_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1830]) ).
cnf(c_1839,plain,
( X0 != X1
| ~ l3_lattices(X0)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_364,c_394]) ).
cnf(c_1840,plain,
( ~ l3_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1839]) ).
cnf(c_1848,plain,
( X0 != X1
| ~ l3_lattices(X0)
| l1_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_364,c_392]) ).
cnf(c_1849,plain,
( ~ l3_lattices(X0)
| l1_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_1848]) ).
cnf(c_1889,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X1)) ),
inference(resolution_lifted,[status(thm)],[c_366,c_408]) ).
cnf(c_1890,plain,
( ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(unflattening,[status(thm)],[c_1889]) ).
cnf(c_1898,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_366,c_406]) ).
cnf(c_1899,plain,
( ~ l3_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1898]) ).
cnf(c_1907,plain,
( X0 != X1
| ~ l3_lattices(X0)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_366,c_404]) ).
cnf(c_1908,plain,
( ~ l3_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1907]) ).
cnf(c_1961,plain,
( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
| u1_struct_0(X0) != X3
| u1_lattices(X0) != X1
| ~ l3_lattices(X0)
| m1_relset_1(X1,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_352,c_1840]) ).
cnf(c_1962,plain,
( ~ l3_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1961]) ).
cnf(c_1979,plain,
( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
| u1_struct_0(X0) != X3
| u2_lattices(X0) != X1
| ~ l3_lattices(X0)
| m1_relset_1(X1,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_352,c_1908]) ).
cnf(c_1980,plain,
( ~ l3_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1979]) ).
cnf(c_2550,plain,
( X0 != X1
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_1849,c_119]) ).
cnf(c_2551,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2550]) ).
cnf(c_2696,plain,
( X0 != X1
| X2 != X3
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ r2_hidden(X4,X1)
| m1_subset_1(X4,X3) ),
inference(resolution_lifted,[status(thm)],[c_355,c_698]) ).
cnf(c_2697,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X0)
| m1_subset_1(X2,X1) ),
inference(unflattening,[status(thm)],[c_2696]) ).
cnf(c_2828,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X2,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X0))
| v3_struct_0(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_868,c_2697]) ).
cnf(c_6502,plain,
( ~ l3_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1831]) ).
cnf(c_6504,plain,
( ~ l3_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1822]) ).
cnf(c_6506,plain,
( ~ l3_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1899]) ).
cnf(c_6508,plain,
( ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1890]) ).
cnf(c_6510,plain,
( ~ l3_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1962]) ).
cnf(c_6514,plain,
( ~ l3_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1980]) ).
cnf(c_11490,plain,
u1_struct_0(sK1) = sP0_iProver_def,
definition ).
cnf(c_11491,plain,
k1_zfmisc_1(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_11492,plain,
k18_filter_2(sK1,sK2) = sP2_iProver_def,
definition ).
cnf(c_11493,plain,
k19_filter_2(sK1,sK3) = sP3_iProver_def,
definition ).
cnf(c_11494,negated_conjecture,
~ v3_struct_0(sK1),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_11495,negated_conjecture,
v10_lattices(sK1),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_11496,negated_conjecture,
l3_lattices(sK1),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_11497,negated_conjecture,
m1_subset_1(sK2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_53,c_11490]) ).
cnf(c_11498,negated_conjecture,
~ v1_xboole_0(sK3),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_11499,negated_conjecture,
m1_subset_1(sK3,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_51,c_11491]) ).
cnf(c_11500,negated_conjecture,
r2_hidden(sK2,sK3),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_11501,negated_conjecture,
~ r1_tarski(sP2_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_11493,c_11492]) ).
cnf(c_45247,plain,
( ~ l3_lattices(sK1)
| v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_11490,c_6502]) ).
cnf(c_45250,plain,
v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_45247,c_11496]) ).
cnf(c_45251,plain,
( ~ l3_lattices(sK1)
| v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_11490,c_6506]) ).
cnf(c_45254,plain,
v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_45251,c_11496]) ).
cnf(c_45285,plain,
( ~ l3_lattices(sK1)
| m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_11490,c_6510]) ).
cnf(c_45288,plain,
m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_45285,c_11496]) ).
cnf(c_45292,plain,
( ~ l3_lattices(sK1)
| m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_11490,c_6514]) ).
cnf(c_45295,plain,
m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_45292,c_11496]) ).
cnf(c_45331,plain,
( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v3_struct_0(g3_lattices(sP0_iProver_def,u1_lattices(sK1),X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_2(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(X0)
| v1_xboole_0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_45288,c_130]) ).
cnf(c_45334,plain,
( ~ v3_struct_0(g3_lattices(sP0_iProver_def,u1_lattices(sK1),X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_2(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(X0)
| v1_xboole_0(sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45331,c_45250]) ).
cnf(c_45386,plain,
( ~ v3_struct_0(g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1)))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| v1_xboole_0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_45295,c_45334]) ).
cnf(c_45388,plain,
( ~ v3_struct_0(g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1)))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| v1_xboole_0(sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45386,c_45254]) ).
cnf(c_45426,plain,
g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_11496,c_68]) ).
cnf(c_45436,plain,
g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(demodulation,[status(thm)],[c_45426,c_11490]) ).
cnf(c_45437,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| v1_xboole_0(sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_45388,c_45436]) ).
cnf(c_45454,plain,
( ~ v1_xboole_0(sP0_iProver_def)
| ~ l3_lattices(sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_11490,c_2551]) ).
cnf(c_45455,plain,
~ v1_xboole_0(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_45454,c_11494,c_11496]) ).
cnf(c_45456,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_45437,c_45455]) ).
cnf(c_45469,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_6504,c_45456]) ).
cnf(c_45470,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| ~ v1_funct_1(u2_lattices(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45469,c_11496]) ).
cnf(c_45471,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_6508,c_45470]) ).
cnf(c_45472,plain,
~ v3_struct_0(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_45471,c_11496]) ).
cnf(c_115254,plain,
( ~ l3_lattices(sK1)
| v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_11490,c_6502]) ).
cnf(c_115257,plain,
v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_115254,c_11496]) ).
cnf(c_115258,plain,
( ~ l3_lattices(sK1)
| v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_11490,c_6506]) ).
cnf(c_115261,plain,
v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_115258,c_11496]) ).
cnf(c_115262,plain,
( ~ l3_lattices(sK1)
| m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_11490,c_6510]) ).
cnf(c_115265,plain,
m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_115262,c_11496]) ).
cnf(c_115266,plain,
( ~ l3_lattices(sK1)
| m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_11490,c_6514]) ).
cnf(c_115269,plain,
m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_115266,c_11496]) ).
cnf(c_115277,plain,
( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ m1_relset_1(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_2(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(X0)
| l3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),X0)) ),
inference(superposition,[status(thm)],[c_115265,c_74]) ).
cnf(c_115280,plain,
( ~ m1_relset_1(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_2(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(X0)
| l3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115277,c_115257]) ).
cnf(c_115285,plain,
( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ m1_relset_1(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_2(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(X0)
| v3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),X0)) ),
inference(superposition,[status(thm)],[c_115265,c_75]) ).
cnf(c_115288,plain,
( ~ m1_relset_1(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_2(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(X0)
| v3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115285,c_115257]) ).
cnf(c_115306,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| l3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1))) ),
inference(superposition,[status(thm)],[c_115269,c_115280]) ).
cnf(c_115308,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| l3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115306,c_115261]) ).
cnf(c_115367,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| v3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1))) ),
inference(superposition,[status(thm)],[c_115269,c_115288]) ).
cnf(c_115369,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| v3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115367,c_115261]) ).
cnf(c_115374,plain,
( ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| sP0(sK1) ),
inference(superposition,[status(thm)],[c_11496,c_147]) ).
cnf(c_115386,plain,
sP0(sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_115374,c_11494,c_11495]) ).
cnf(c_115387,plain,
g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_11496,c_68]) ).
cnf(c_115397,plain,
g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(demodulation,[status(thm)],[c_115387,c_11490]) ).
cnf(c_115398,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| l3_lattices(k1_lattice2(sK1)) ),
inference(demodulation,[status(thm)],[c_115308,c_115397]) ).
cnf(c_115399,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| v3_lattices(k1_lattice2(sK1)) ),
inference(light_normalisation,[status(thm)],[c_115369,c_115397]) ).
cnf(c_115400,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ l3_lattices(sK1)
| v3_lattices(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_6504,c_115399]) ).
cnf(c_115401,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| v3_lattices(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115400,c_11496]) ).
cnf(c_115402,plain,
( ~ l3_lattices(sK1)
| v3_lattices(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_6508,c_115401]) ).
cnf(c_115403,plain,
v3_lattices(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_115402,c_11496]) ).
cnf(c_115404,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))) = k1_lattice2(sK1) ),
inference(superposition,[status(thm)],[c_115403,c_57]) ).
cnf(c_115405,plain,
( ~ l3_lattices(sK1)
| g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))) = k1_lattice2(sK1) ),
inference(superposition,[status(thm)],[c_78,c_115404]) ).
cnf(c_115406,plain,
g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))) = k1_lattice2(sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_115405,c_11496]) ).
cnf(c_115422,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ l3_lattices(sK1)
| l3_lattices(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_6504,c_115398]) ).
cnf(c_115423,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| l3_lattices(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115422,c_11496]) ).
cnf(c_115424,plain,
( ~ l3_lattices(sK1)
| l3_lattices(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_6508,c_115423]) ).
cnf(c_115425,plain,
l3_lattices(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_115424,c_11496]) ).
cnf(c_115435,plain,
( ~ v1_xboole_0(sP0_iProver_def)
| ~ l3_lattices(sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_11490,c_2551]) ).
cnf(c_115436,plain,
~ v1_xboole_0(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_115435,c_11494,c_11496]) ).
cnf(c_115451,plain,
( ~ m1_subset_1(X0,sP0_iProver_def)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k5_filter_2(sK1,X0) = X0
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_11490,c_70]) ).
cnf(c_115452,plain,
( ~ m1_subset_1(X0,sP0_iProver_def)
| k5_filter_2(sK1,X0) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_115451,c_11494,c_11495,c_11496]) ).
cnf(c_115454,plain,
k5_filter_2(sK1,sK2) = sK2,
inference(superposition,[status(thm)],[c_11497,c_115452]) ).
cnf(c_115494,plain,
( ~ m1_subset_1(X0,sP0_iProver_def)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0)) = k18_filter_2(sK1,X0)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_11490,c_209]) ).
cnf(c_115495,plain,
( ~ m1_subset_1(X0,sP0_iProver_def)
| k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0)) = k18_filter_2(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115494,c_11494,c_11495,c_11496]) ).
cnf(c_115518,plain,
k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,sK2)) = k18_filter_2(sK1,sK2),
inference(superposition,[status(thm)],[c_11497,c_115495]) ).
cnf(c_115519,plain,
k2_filter_2(k1_lattice2(sK1),sK2) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_115518,c_11492,c_115454]) ).
cnf(c_115525,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| X0 = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_115397,c_158]) ).
cnf(c_115530,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| X0 = sP0_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_115525,c_115257,c_115261,c_115265,c_115269]) ).
cnf(c_115552,plain,
( ~ r1_tarski(X0,sP0_iProver_def)
| m1_subset_1(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_11491,c_214]) ).
cnf(c_115606,plain,
m1_subset_1(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_201,c_115552]) ).
cnf(c_115650,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_115406,c_115530]) ).
cnf(c_115651,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ l3_lattices(sK1)
| u1_struct_0(k1_lattice2(sK1)) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_6504,c_115650]) ).
cnf(c_115652,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = sP0_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_115651,c_11496]) ).
cnf(c_115653,plain,
( ~ l3_lattices(sK1)
| u1_struct_0(k1_lattice2(sK1)) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_6508,c_115652]) ).
cnf(c_115654,plain,
u1_struct_0(k1_lattice2(sK1)) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_115653,c_11496]) ).
cnf(c_115683,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(sP0_iProver_def))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k7_filter_2(sK1,X0) = X0
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_11490,c_71]) ).
cnf(c_115685,plain,
( ~ m1_subset_1(X0,sP1_iProver_def)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k7_filter_2(sK1,X0) = X0
| v3_struct_0(sK1) ),
inference(demodulation,[status(thm)],[c_115683,c_11491]) ).
cnf(c_115686,plain,
( ~ m1_subset_1(X0,sP1_iProver_def)
| k7_filter_2(sK1,X0) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_115685,c_11494,c_11495,c_11496]) ).
cnf(c_115736,plain,
( ~ m1_subset_1(X0,sP0_iProver_def)
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| k2_filter_0(k1_lattice2(sK1),X0) = k2_filter_2(k1_lattice2(sK1),X0)
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_115654,c_193]) ).
cnf(c_115738,plain,
( ~ m1_subset_1(X0,sP0_iProver_def)
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| k2_filter_0(k1_lattice2(sK1),X0) = a_2_0_filter_0(k1_lattice2(sK1),X0)
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_115654,c_69]) ).
cnf(c_115740,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(sP0_iProver_def))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,X0)) = k19_filter_2(sK1,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_115654,c_213]) ).
cnf(c_115767,plain,
( ~ m1_subset_1(X0,sP0_iProver_def)
| ~ v10_lattices(k1_lattice2(sK1))
| k2_filter_0(k1_lattice2(sK1),X0) = a_2_0_filter_0(k1_lattice2(sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115738,c_45472,c_115425]) ).
cnf(c_115769,plain,
( ~ m1_subset_1(X0,sP0_iProver_def)
| ~ v10_lattices(k1_lattice2(sK1))
| k2_filter_0(k1_lattice2(sK1),X0) = k2_filter_2(k1_lattice2(sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115736,c_45472,c_115425]) ).
cnf(c_115782,plain,
( ~ m1_subset_1(X0,sP1_iProver_def)
| ~ m1_subset_1(X1,sP1_iProver_def)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,X0)) = k19_filter_2(sK1,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| v3_struct_0(sK1) ),
inference(demodulation,[status(thm)],[c_115740,c_11490,c_11491]) ).
cnf(c_115783,plain,
( ~ m1_subset_1(X0,sP1_iProver_def)
| ~ m1_subset_1(X1,sP1_iProver_def)
| k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,X0)) = k19_filter_2(sK1,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115782,c_11494,c_11495,c_11496]) ).
cnf(c_115791,plain,
k7_filter_2(sK1,sK3) = sK3,
inference(superposition,[status(thm)],[c_11499,c_115686]) ).
cnf(c_115869,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(sP0_iProver_def))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| k3_filter_0(k1_lattice2(sK1),X0) = k3_filter_2(k1_lattice2(sK1),X0)
| v3_struct_0(k1_lattice2(sK1))
| v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_115654,c_194]) ).
cnf(c_115873,plain,
( ~ m1_subset_1(X0,sP1_iProver_def)
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| k3_filter_0(k1_lattice2(sK1),X0) = k3_filter_2(k1_lattice2(sK1),X0)
| v3_struct_0(k1_lattice2(sK1))
| v1_xboole_0(X0) ),
inference(demodulation,[status(thm)],[c_115869,c_11491]) ).
cnf(c_115874,plain,
( ~ m1_subset_1(X0,sP1_iProver_def)
| ~ v10_lattices(k1_lattice2(sK1))
| k3_filter_0(k1_lattice2(sK1),X0) = k3_filter_2(k1_lattice2(sK1),X0)
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115873,c_45472,c_115425]) ).
cnf(c_116278,plain,
( ~ m1_subset_1(X0,sP1_iProver_def)
| k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK3)) = k19_filter_2(sK1,sK3)
| v1_xboole_0(X0)
| v1_xboole_0(sK3) ),
inference(superposition,[status(thm)],[c_11499,c_115783]) ).
cnf(c_116294,plain,
( ~ m1_subset_1(X0,sP1_iProver_def)
| k3_filter_2(k1_lattice2(sK1),sK3) = sP3_iProver_def
| v1_xboole_0(X0)
| v1_xboole_0(sK3) ),
inference(demodulation,[status(thm)],[c_116278,c_11493,c_115791]) ).
cnf(c_116295,plain,
( ~ m1_subset_1(X0,sP1_iProver_def)
| k3_filter_2(k1_lattice2(sK1),sK3) = sP3_iProver_def
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116294,c_11498]) ).
cnf(c_116333,plain,
( k3_filter_2(k1_lattice2(sK1),sK3) = sP3_iProver_def
| v1_xboole_0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_115606,c_116295]) ).
cnf(c_116344,plain,
k3_filter_2(k1_lattice2(sK1),sK3) = sP3_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_116333,c_115436]) ).
cnf(c_117737,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2) ),
inference(superposition,[status(thm)],[c_11497,c_115767]) ).
cnf(c_117756,plain,
( ~ sP0(sK1)
| k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2) ),
inference(superposition,[status(thm)],[c_138,c_117737]) ).
cnf(c_117757,plain,
k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_117756,c_115386]) ).
cnf(c_117814,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| k2_filter_0(k1_lattice2(sK1),sK2) = k2_filter_2(k1_lattice2(sK1),sK2) ),
inference(superposition,[status(thm)],[c_11497,c_115769]) ).
cnf(c_117820,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| a_2_0_filter_0(k1_lattice2(sK1),sK2) = sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_117814,c_115519,c_117757]) ).
cnf(c_117831,plain,
( ~ sP0(sK1)
| a_2_0_filter_0(k1_lattice2(sK1),sK2) = sP2_iProver_def ),
inference(superposition,[status(thm)],[c_138,c_117820]) ).
cnf(c_117832,plain,
a_2_0_filter_0(k1_lattice2(sK1),sK2) = sP2_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_117831,c_115386]) ).
cnf(c_117840,plain,
k2_filter_0(k1_lattice2(sK1),sK2) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_117757,c_117832]) ).
cnf(c_118324,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| k3_filter_0(k1_lattice2(sK1),sK3) = k3_filter_2(k1_lattice2(sK1),sK3)
| v1_xboole_0(sK3) ),
inference(superposition,[status(thm)],[c_11499,c_115874]) ).
cnf(c_118357,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| k3_filter_0(k1_lattice2(sK1),sK3) = sP3_iProver_def
| v1_xboole_0(sK3) ),
inference(demodulation,[status(thm)],[c_118324,c_116344]) ).
cnf(c_118358,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| k3_filter_0(k1_lattice2(sK1),sK3) = sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_118357,c_11498]) ).
cnf(c_118392,plain,
( ~ sP0(sK1)
| k3_filter_0(k1_lattice2(sK1),sK3) = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_138,c_118358]) ).
cnf(c_118393,plain,
k3_filter_0(k1_lattice2(sK1),sK3) = sP3_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_118392,c_115386]) ).
cnf(c_118443,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ r2_hidden(X0,sK3)
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| r1_tarski(k2_filter_0(k1_lattice2(sK1),X0),sP3_iProver_def)
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_118393,c_2828]) ).
cnf(c_118445,plain,
( ~ r2_hidden(X0,sK3)
| ~ m1_subset_1(sK3,sP1_iProver_def)
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| r1_tarski(k2_filter_0(k1_lattice2(sK1),X0),sP3_iProver_def)
| v3_struct_0(k1_lattice2(sK1)) ),
inference(demodulation,[status(thm)],[c_118443,c_11491,c_115654]) ).
cnf(c_118446,plain,
( ~ r2_hidden(X0,sK3)
| ~ v10_lattices(k1_lattice2(sK1))
| r1_tarski(k2_filter_0(k1_lattice2(sK1),X0),sP3_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118445,c_45472,c_115425,c_11499]) ).
cnf(c_118487,plain,
( ~ r2_hidden(sK2,sK3)
| ~ v10_lattices(k1_lattice2(sK1))
| r1_tarski(sP2_iProver_def,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_117840,c_118446]) ).
cnf(c_118489,plain,
~ v10_lattices(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_118487,c_11501,c_11500]) ).
cnf(c_118490,plain,
~ sP0(sK1),
inference(superposition,[status(thm)],[c_138,c_118489]) ).
cnf(c_118491,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_118490,c_115386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : LAT311+1 : TPTP v8.2.0. Released v3.4.0.
% 0.02/0.09 % Command : run_iprover %s %d THM
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri Jun 21 23:11:39 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.15/0.38 Running first-order theorem proving
% 0.15/0.38 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 192.75/25.72 % SZS status Started for theBenchmark.p
% 192.75/25.72 % SZS status Theorem for theBenchmark.p
% 192.75/25.72
% 192.75/25.72 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 192.75/25.72
% 192.75/25.72 ------ iProver source info
% 192.75/25.72
% 192.75/25.72 git: date: 2024-06-12 09:56:46 +0000
% 192.75/25.72 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 192.75/25.72 git: non_committed_changes: false
% 192.75/25.72
% 192.75/25.72 ------ Parsing...
% 192.75/25.72 ------ Clausification by vclausify_rel & Parsing by iProver...
% 192.75/25.72
% 192.75/25.72 ------ Preprocessing... sup_sim: 0 sf_s rm: 10 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: 10 0s sf_e pe_s pe_e
% 192.75/25.72
% 192.75/25.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 192.75/25.72
% 192.75/25.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 192.75/25.72 ------ Proving...
% 192.75/25.72 ------ Problem Properties
% 192.75/25.72
% 192.75/25.72
% 192.75/25.72 clauses 158
% 192.75/25.72 conjectures 8
% 192.75/25.72 EPR 48
% 192.75/25.72 Horn 102
% 192.75/25.72 unary 52
% 192.75/25.72 binary 36
% 192.75/25.72 lits 488
% 192.75/25.72 lits eq 31
% 192.75/25.72 fd_pure 0
% 192.75/25.72 fd_pseudo 0
% 192.75/25.72 fd_cond 1
% 192.75/25.72 fd_pseudo_cond 6
% 192.75/25.72 AC symbols 0
% 192.75/25.72
% 192.75/25.72 ------ Input Options Time Limit: Unbounded
% 192.75/25.72
% 192.75/25.72
% 192.75/25.72 ------
% 192.75/25.72 Current options:
% 192.75/25.72 ------
% 192.75/25.72
% 192.75/25.72
% 192.75/25.72
% 192.75/25.72
% 192.75/25.72 ------ Proving...
% 192.75/25.72
% 192.75/25.72
% 192.75/25.72 % SZS status Theorem for theBenchmark.p
% 192.75/25.72
% 192.75/25.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 192.75/25.73
% 192.75/25.74
%------------------------------------------------------------------------------