TSTP Solution File: LAT338+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT338+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:35:22 EDT 2024
% Result : Theorem 7.66s 1.61s
% Output : CNFRefutation 7.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
=> ( l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_conlat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
=> ( l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) ) ) ),
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(f16,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d23_conlat_1) ).
fof(f19,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k10_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_conlat_1) ).
fof(f20,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
fof(f21,axiom,
! [X0,X1] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_lattice3) ).
fof(f22,axiom,
! [X0,X1] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k16_lattice3) ).
fof(f27,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> m1_conlat_1(k8_conlat_1(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_conlat_1) ).
fof(f28,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k9_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_conlat_1) ).
fof(f36,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( m1_conlat_1(X1,X0)
=> ~ v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_conlat_1) ).
fof(f71,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( v4_lattice3(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_conlat_1) ).
fof(f75,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(f96,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(f99,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f101,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( r2_hidden(X1,k8_conlat_1(X0))
<=> ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_conlat_1) ).
fof(f115,plain,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f71]) ).
fof(f125,plain,
? [X0] :
( ? [X1] :
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
& l2_conlat_1(X0)
& ~ v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f126,plain,
? [X0] :
( ? [X1] :
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
& l2_conlat_1(X0)
& ~ v3_conlat_1(X0) ),
inference(flattening,[],[f125]) ).
fof(f127,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(f128,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f127]) ).
fof(f148,plain,
! [X0] :
( k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f149,plain,
! [X0] :
( k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f148]) ).
fof(f154,plain,
! [X0] :
( ( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k10_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f155,plain,
! [X0] :
( ( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k10_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f157,plain,
! [X0] :
( ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f156]) ).
fof(f158,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f159,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f161,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f160]) ).
fof(f164,plain,
! [X0] :
( m1_conlat_1(k8_conlat_1(X0),X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f165,plain,
! [X0] :
( m1_conlat_1(k8_conlat_1(X0),X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0] :
( ( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k9_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f167,plain,
! [X0] :
( ( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k9_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f166]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( ~ v1_xboole_0(X1)
| ~ m1_conlat_1(X1,X0) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ~ v1_xboole_0(X1)
| ~ m1_conlat_1(X1,X0) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f172]) ).
fof(f206,plain,
! [X0] :
( ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f207,plain,
! [X0] :
( ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f206]) ).
fof(f214,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,[],[f75]) ).
fof(f215,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,[],[f214]) ).
fof(f235,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f236,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f235]) ).
fof(f238,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k8_conlat_1(X0))
<=> ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) ) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f239,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k8_conlat_1(X0))
<=> ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) ) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f238]) ).
fof(f251,plain,
! [X0] :
( ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f252,plain,
! [X0] :
( sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(definition_folding,[],[f207,f251]) ).
fof(f253,plain,
( ? [X0] :
( ? [X1] :
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
& l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( ? [X1] :
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),X1),sK3)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),X1),sK3)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),X1),sK3)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),X1),sK3)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),X1),sK3)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),X1),sK3) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(sK3)))) )
& l2_conlat_1(sK3)
& ~ v3_conlat_1(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X1] :
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),X1),sK3)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),X1),sK3)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),X1),sK3)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),X1),sK3)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),X1),sK3)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),X1),sK3) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(sK3)))) )
=> ( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3) )
& m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(k11_conlat_1(sK3)))) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3) )
& m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(k11_conlat_1(sK3))))
& l2_conlat_1(sK3)
& ~ v3_conlat_1(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f126,f254,f253]) ).
fof(f280,plain,
! [X0] :
( ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f251]) ).
fof(f323,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,[],[f96]) ).
fof(f327,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k8_conlat_1(X0))
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ v6_conlat_1(X1,X0) )
& ( ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) )
| ~ r2_hidden(X1,k8_conlat_1(X0)) ) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f328,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k8_conlat_1(X0))
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ v6_conlat_1(X1,X0) )
& ( ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) )
| ~ r2_hidden(X1,k8_conlat_1(X0)) ) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f327]) ).
fof(f329,plain,
~ v3_conlat_1(sK3),
inference(cnf_transformation,[],[f255]) ).
fof(f330,plain,
l2_conlat_1(sK3),
inference(cnf_transformation,[],[f255]) ).
fof(f332,plain,
( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
inference(cnf_transformation,[],[f255]) ).
fof(f333,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f360,plain,
! [X0] :
( k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f365,plain,
! [X0] :
( v1_funct_1(k10_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f366,plain,
! [X0] :
( v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f367,plain,
! [X0] :
( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f368,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f369,plain,
! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f370,plain,
! [X0] :
( l3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f371,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f372,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f374,plain,
! [X0] :
( m1_conlat_1(k8_conlat_1(X0),X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f375,plain,
! [X0] :
( v1_funct_1(k9_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f376,plain,
! [X0] :
( v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f377,plain,
! [X0] :
( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f383,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f445,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f446,plain,
! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f454,plain,
! [X0] :
( sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f465,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,[],[f215]) ).
fof(f530,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f323]) ).
fof(f534,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f538,plain,
! [X0,X1] :
( ~ v7_conlat_1(X1,X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f539,plain,
! [X0,X1] :
( v9_conlat_1(X1,X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f540,plain,
! [X0,X1] :
( l3_conlat_1(X1,X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_49,negated_conjecture,
( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_51,negated_conjecture,
l2_conlat_1(sK3),
inference(cnf_transformation,[],[f330]) ).
cnf(c_52,negated_conjecture,
~ v3_conlat_1(sK3),
inference(cnf_transformation,[],[f329]) ).
cnf(c_53,plain,
( ~ v3_lattices(X0)
| ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_71,plain,
( ~ l2_conlat_1(X0)
| g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0)) = k11_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_76,plain,
( ~ l2_conlat_1(X0)
| m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_77,plain,
( ~ l2_conlat_1(X0)
| v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_78,plain,
( ~ l2_conlat_1(X0)
| v1_funct_1(k10_conlat_1(X0))
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_79,plain,
( ~ l2_conlat_1(X0)
| l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_80,plain,
( ~ l2_conlat_1(X0)
| v3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_81,plain,
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_82,plain,
( ~ l3_lattices(X0)
| m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_83,plain,
( ~ l3_lattices(X0)
| m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_85,plain,
( ~ l2_conlat_1(X0)
| m1_conlat_1(k8_conlat_1(X0),X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_86,plain,
( ~ l2_conlat_1(X0)
| m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_87,plain,
( ~ l2_conlat_1(X0)
| v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_88,plain,
( ~ l2_conlat_1(X0)
| v1_funct_1(k9_conlat_1(X0))
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_94,plain,
( ~ m1_conlat_1(X0,X1)
| ~ l2_conlat_1(X1)
| ~ v1_xboole_0(X0)
| v3_conlat_1(X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_163,plain,
( ~ sP2(X0)
| v3_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f446]) ).
cnf(c_164,plain,
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f445]) ).
cnf(c_165,plain,
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f454]) ).
cnf(c_178,plain,
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| X0 = X3 ),
inference(cnf_transformation,[],[f465]) ).
cnf(c_242,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f530]) ).
cnf(c_245,plain,
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f534]) ).
cnf(c_249,plain,
( ~ r2_hidden(X0,k8_conlat_1(X1))
| ~ l2_conlat_1(X1)
| l3_conlat_1(X0,X1)
| v3_conlat_1(X1) ),
inference(cnf_transformation,[],[f540]) ).
cnf(c_250,plain,
( ~ r2_hidden(X0,k8_conlat_1(X1))
| ~ l2_conlat_1(X1)
| v9_conlat_1(X0,X1)
| v3_conlat_1(X1) ),
inference(cnf_transformation,[],[f539]) ).
cnf(c_251,plain,
( ~ r2_hidden(X0,k8_conlat_1(X1))
| ~ v7_conlat_1(X0,X1)
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1) ),
inference(cnf_transformation,[],[f538]) ).
cnf(c_275,plain,
( ~ sP2(sK3)
| v3_lattices(k11_conlat_1(sK3)) ),
inference(instantiation,[status(thm)],[c_163]) ).
cnf(c_312,plain,
( ~ l2_conlat_1(sK3)
| v3_conlat_1(sK3)
| sP2(sK3) ),
inference(instantiation,[status(thm)],[c_165]) ).
cnf(c_313,plain,
( ~ v3_struct_0(k11_conlat_1(sK3))
| ~ sP2(sK3) ),
inference(instantiation,[status(thm)],[c_164]) ).
cnf(c_320,plain,
( ~ l2_conlat_1(sK3)
| v1_funct_1(k9_conlat_1(sK3))
| v3_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_322,plain,
( ~ l2_conlat_1(sK3)
| l3_lattices(k11_conlat_1(sK3))
| v3_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_323,plain,
( ~ l2_conlat_1(sK3)
| v1_funct_1(k10_conlat_1(sK3))
| v3_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_380,plain,
( ~ l2_conlat_1(sK3)
| v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| v3_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_381,plain,
( ~ l2_conlat_1(sK3)
| m2_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| v3_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_382,plain,
( ~ l2_conlat_1(sK3)
| v1_funct_2(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| v3_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_383,plain,
( ~ l2_conlat_1(sK3)
| m2_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| v3_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_386,plain,
( ~ l2_conlat_1(sK3)
| g3_lattices(k8_conlat_1(sK3),k10_conlat_1(sK3),k9_conlat_1(sK3)) = k11_conlat_1(sK3)
| v3_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_2917,plain,
( k8_conlat_1(X0) != X1
| X0 != X2
| ~ l2_conlat_1(X0)
| ~ l2_conlat_1(X2)
| ~ v1_xboole_0(X1)
| v3_conlat_1(X0)
| v3_conlat_1(X2) ),
inference(resolution_lifted,[status(thm)],[c_85,c_94]) ).
cnf(c_2918,plain,
( ~ v1_xboole_0(k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(unflattening,[status(thm)],[c_2917]) ).
cnf(c_2919,plain,
( ~ v1_xboole_0(k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| v3_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_2918]) ).
cnf(c_4521,plain,
( X0 != sK3
| ~ v1_xboole_0(k8_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_2918]) ).
cnf(c_4522,plain,
( ~ v1_xboole_0(k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_4521]) ).
cnf(c_4523,plain,
~ v1_xboole_0(k8_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4522,c_51,c_52,c_2919]) ).
cnf(c_4661,plain,
( X0 != sK3
| ~ l2_conlat_1(X0)
| v1_funct_1(k9_conlat_1(X0)) ),
inference(resolution_lifted,[status(thm)],[c_52,c_88]) ).
cnf(c_4662,plain,
( ~ l2_conlat_1(sK3)
| v1_funct_1(k9_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4661]) ).
cnf(c_4663,plain,
v1_funct_1(k9_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4662,c_51,c_52,c_320]) ).
cnf(c_4668,plain,
( X0 != sK3
| ~ l2_conlat_1(X0)
| v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) ),
inference(resolution_lifted,[status(thm)],[c_52,c_87]) ).
cnf(c_4669,plain,
( ~ l2_conlat_1(sK3)
| v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4668]) ).
cnf(c_4670,plain,
v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4669,c_51,c_52,c_380]) ).
cnf(c_4675,plain,
( X0 != sK3
| ~ l2_conlat_1(X0)
| m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) ),
inference(resolution_lifted,[status(thm)],[c_52,c_86]) ).
cnf(c_4676,plain,
( ~ l2_conlat_1(sK3)
| m2_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4675]) ).
cnf(c_4677,plain,
m2_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4676,c_51,c_52,c_381]) ).
cnf(c_4689,plain,
( X0 != sK3
| ~ v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_81]) ).
cnf(c_4690,plain,
( ~ v3_struct_0(k11_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_4689]) ).
cnf(c_4691,plain,
~ v3_struct_0(k11_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4690,c_51,c_52,c_312,c_313]) ).
cnf(c_4696,plain,
( X0 != sK3
| ~ l2_conlat_1(X0)
| v3_lattices(k11_conlat_1(X0)) ),
inference(resolution_lifted,[status(thm)],[c_52,c_80]) ).
cnf(c_4697,plain,
( ~ l2_conlat_1(sK3)
| v3_lattices(k11_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4696]) ).
cnf(c_4698,plain,
v3_lattices(k11_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4697,c_51,c_52,c_275,c_312]) ).
cnf(c_4703,plain,
( X0 != sK3
| ~ l2_conlat_1(X0)
| l3_lattices(k11_conlat_1(X0)) ),
inference(resolution_lifted,[status(thm)],[c_52,c_79]) ).
cnf(c_4704,plain,
( ~ l2_conlat_1(sK3)
| l3_lattices(k11_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4703]) ).
cnf(c_4705,plain,
l3_lattices(k11_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4704,c_51,c_52,c_322]) ).
cnf(c_4710,plain,
( X0 != sK3
| ~ l2_conlat_1(X0)
| v1_funct_1(k10_conlat_1(X0)) ),
inference(resolution_lifted,[status(thm)],[c_52,c_78]) ).
cnf(c_4711,plain,
( ~ l2_conlat_1(sK3)
| v1_funct_1(k10_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4710]) ).
cnf(c_4712,plain,
v1_funct_1(k10_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4711,c_51,c_52,c_323]) ).
cnf(c_4717,plain,
( X0 != sK3
| ~ l2_conlat_1(X0)
| v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) ),
inference(resolution_lifted,[status(thm)],[c_52,c_77]) ).
cnf(c_4718,plain,
( ~ l2_conlat_1(sK3)
| v1_funct_2(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4717]) ).
cnf(c_4719,plain,
v1_funct_2(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4718,c_51,c_52,c_382]) ).
cnf(c_4724,plain,
( X0 != sK3
| ~ l2_conlat_1(X0)
| m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) ),
inference(resolution_lifted,[status(thm)],[c_52,c_76]) ).
cnf(c_4725,plain,
( ~ l2_conlat_1(sK3)
| m2_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4724]) ).
cnf(c_4726,plain,
m2_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4725,c_51,c_52,c_383]) ).
cnf(c_4731,plain,
( X0 != sK3
| ~ l2_conlat_1(X0)
| g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0)) = k11_conlat_1(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_71]) ).
cnf(c_4732,plain,
( ~ l2_conlat_1(sK3)
| g3_lattices(k8_conlat_1(sK3),k10_conlat_1(sK3),k9_conlat_1(sK3)) = k11_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_4731]) ).
cnf(c_4733,plain,
g3_lattices(k8_conlat_1(sK3),k10_conlat_1(sK3),k9_conlat_1(sK3)) = k11_conlat_1(sK3),
inference(global_subsumption_just,[status(thm)],[c_4732,c_51,c_52,c_386]) ).
cnf(c_4750,plain,
( X0 != sK3
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ v7_conlat_1(X1,X0)
| ~ l2_conlat_1(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_251]) ).
cnf(c_4751,plain,
( ~ r2_hidden(X0,k8_conlat_1(sK3))
| ~ v7_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_4750]) ).
cnf(c_4762,plain,
( X0 != sK3
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v9_conlat_1(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_250]) ).
cnf(c_4763,plain,
( ~ r2_hidden(X0,k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| v9_conlat_1(X0,sK3) ),
inference(unflattening,[status(thm)],[c_4762]) ).
cnf(c_4774,plain,
( X0 != sK3
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| l3_conlat_1(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_249]) ).
cnf(c_4775,plain,
( ~ r2_hidden(X0,k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| l3_conlat_1(X0,sK3) ),
inference(unflattening,[status(thm)],[c_4774]) ).
cnf(c_14761,plain,
( ~ r2_hidden(X0,k8_conlat_1(sK3))
| ~ v7_conlat_1(X0,sK3) ),
inference(prop_impl_just,[status(thm)],[c_51,c_4751]) ).
cnf(c_14763,plain,
( ~ r2_hidden(X0,k8_conlat_1(sK3))
| v9_conlat_1(X0,sK3) ),
inference(prop_impl_just,[status(thm)],[c_51,c_4763]) ).
cnf(c_14765,plain,
( ~ r2_hidden(X0,k8_conlat_1(sK3))
| l3_conlat_1(X0,sK3) ),
inference(prop_impl_just,[status(thm)],[c_51,c_4775]) ).
cnf(c_19981,plain,
k11_conlat_1(sK3) = sP0_iProver_def,
definition ).
cnf(c_19982,plain,
u1_struct_0(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_19984,plain,
k15_lattice3(sP0_iProver_def,sK4) = sP3_iProver_def,
definition ).
cnf(c_19985,plain,
k16_lattice3(sP0_iProver_def,sK4) = sP4_iProver_def,
definition ).
cnf(c_19987,negated_conjecture,
( ~ l3_conlat_1(sP3_iProver_def,sK3)
| ~ l3_conlat_1(sP4_iProver_def,sK3)
| ~ v9_conlat_1(sP3_iProver_def,sK3)
| ~ v9_conlat_1(sP4_iProver_def,sK3)
| v7_conlat_1(sP3_iProver_def,sK3)
| v7_conlat_1(sP4_iProver_def,sK3) ),
inference(demodulation,[status(thm)],[c_49,c_19985,c_19984]) ).
cnf(c_22862,plain,
v3_lattices(sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_4698,c_19981]) ).
cnf(c_22863,plain,
l3_lattices(sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_4705,c_19981]) ).
cnf(c_22864,plain,
~ v3_struct_0(sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_4691,c_19981]) ).
cnf(c_22865,plain,
g3_lattices(k8_conlat_1(sK3),k10_conlat_1(sK3),k9_conlat_1(sK3)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_4733,c_19981]) ).
cnf(c_23682,plain,
m1_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(superposition,[status(thm)],[c_4677,c_242]) ).
cnf(c_23683,plain,
m1_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(superposition,[status(thm)],[c_4726,c_242]) ).
cnf(c_23816,plain,
( ~ l3_lattices(sP0_iProver_def)
| m1_subset_1(sP3_iProver_def,u1_struct_0(sP0_iProver_def))
| v3_struct_0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_19984,c_82]) ).
cnf(c_23819,plain,
( ~ l3_lattices(sP0_iProver_def)
| m1_subset_1(sP3_iProver_def,sP1_iProver_def)
| v3_struct_0(sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_23816,c_19982]) ).
cnf(c_23820,plain,
m1_subset_1(sP3_iProver_def,sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_23819,c_22864,c_22863]) ).
cnf(c_23834,plain,
( ~ l3_lattices(sP0_iProver_def)
| m1_subset_1(sP4_iProver_def,u1_struct_0(sP0_iProver_def))
| v3_struct_0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_19985,c_83]) ).
cnf(c_23837,plain,
( ~ l3_lattices(sP0_iProver_def)
| m1_subset_1(sP4_iProver_def,sP1_iProver_def)
| v3_struct_0(sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_23834,c_19982]) ).
cnf(c_23838,plain,
m1_subset_1(sP4_iProver_def,sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_23837,c_22864,c_22863]) ).
cnf(c_23864,plain,
( r2_hidden(sP3_iProver_def,sP1_iProver_def)
| v1_xboole_0(sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_23820,c_245]) ).
cnf(c_23867,plain,
( r2_hidden(sP4_iProver_def,sP1_iProver_def)
| v1_xboole_0(sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_23838,c_245]) ).
cnf(c_24952,plain,
( ~ l3_lattices(sP0_iProver_def)
| g3_lattices(u1_struct_0(sP0_iProver_def),u2_lattices(sP0_iProver_def),u1_lattices(sP0_iProver_def)) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_22862,c_53]) ).
cnf(c_24953,plain,
( ~ l3_lattices(sP0_iProver_def)
| g3_lattices(sP1_iProver_def,u2_lattices(sP0_iProver_def),u1_lattices(sP0_iProver_def)) = sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_24952,c_19982]) ).
cnf(c_24954,plain,
g3_lattices(sP1_iProver_def,u2_lattices(sP0_iProver_def),u1_lattices(sP0_iProver_def)) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_24953,c_22863]) ).
cnf(c_25672,plain,
( g3_lattices(X0,X1,X2) != sP0_iProver_def
| ~ v1_funct_2(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ m1_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ m1_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ v1_funct_1(k10_conlat_1(sK3))
| ~ v1_funct_1(k9_conlat_1(sK3))
| k8_conlat_1(sK3) = X0 ),
inference(superposition,[status(thm)],[c_22865,c_178]) ).
cnf(c_25700,plain,
( g3_lattices(X0,X1,X2) != sP0_iProver_def
| k8_conlat_1(sK3) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_25672,c_4663,c_4712,c_23682,c_23683,c_4670,c_4719]) ).
cnf(c_26086,plain,
k8_conlat_1(sK3) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_24954,c_25700]) ).
cnf(c_26098,plain,
( ~ v7_conlat_1(X0,sK3)
| ~ r2_hidden(X0,sP1_iProver_def) ),
inference(demodulation,[status(thm)],[c_14761,c_26086]) ).
cnf(c_26099,plain,
( ~ r2_hidden(X0,sP1_iProver_def)
| l3_conlat_1(X0,sK3) ),
inference(demodulation,[status(thm)],[c_14765,c_26086]) ).
cnf(c_26100,plain,
( ~ r2_hidden(X0,sP1_iProver_def)
| v9_conlat_1(X0,sK3) ),
inference(demodulation,[status(thm)],[c_14763,c_26086]) ).
cnf(c_26107,plain,
~ v1_xboole_0(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_4523,c_26086]) ).
cnf(c_26113,plain,
r2_hidden(sP4_iProver_def,sP1_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_23867,c_26107]) ).
cnf(c_26114,plain,
r2_hidden(sP3_iProver_def,sP1_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_23864,c_26107]) ).
cnf(c_26513,plain,
l3_conlat_1(sP3_iProver_def,sK3),
inference(superposition,[status(thm)],[c_26114,c_26099]) ).
cnf(c_26514,plain,
l3_conlat_1(sP4_iProver_def,sK3),
inference(superposition,[status(thm)],[c_26113,c_26099]) ).
cnf(c_26532,plain,
( ~ l3_conlat_1(sP4_iProver_def,sK3)
| ~ v9_conlat_1(sP3_iProver_def,sK3)
| ~ v9_conlat_1(sP4_iProver_def,sK3)
| v7_conlat_1(sP3_iProver_def,sK3)
| v7_conlat_1(sP4_iProver_def,sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_19987,c_26513]) ).
cnf(c_26533,plain,
( ~ v9_conlat_1(sP3_iProver_def,sK3)
| ~ v9_conlat_1(sP4_iProver_def,sK3)
| v7_conlat_1(sP3_iProver_def,sK3)
| v7_conlat_1(sP4_iProver_def,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26532,c_26514]) ).
cnf(c_26609,plain,
v9_conlat_1(sP3_iProver_def,sK3),
inference(superposition,[status(thm)],[c_26114,c_26100]) ).
cnf(c_26610,plain,
v9_conlat_1(sP4_iProver_def,sK3),
inference(superposition,[status(thm)],[c_26113,c_26100]) ).
cnf(c_26631,plain,
( ~ v9_conlat_1(sP4_iProver_def,sK3)
| v7_conlat_1(sP3_iProver_def,sK3)
| v7_conlat_1(sP4_iProver_def,sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_26533,c_26609]) ).
cnf(c_26632,plain,
( v7_conlat_1(sP3_iProver_def,sK3)
| v7_conlat_1(sP4_iProver_def,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26631,c_26610]) ).
cnf(c_28505,plain,
( ~ r2_hidden(sP4_iProver_def,sP1_iProver_def)
| v7_conlat_1(sP3_iProver_def,sK3) ),
inference(superposition,[status(thm)],[c_26632,c_26098]) ).
cnf(c_28506,plain,
v7_conlat_1(sP3_iProver_def,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_28505,c_26113]) ).
cnf(c_28507,plain,
~ r2_hidden(sP3_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_28506,c_26098]) ).
cnf(c_28508,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_28507,c_26114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT338+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n008.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 18:10:27 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.66/1.61 % SZS status Started for theBenchmark.p
% 7.66/1.61 % SZS status Theorem for theBenchmark.p
% 7.66/1.61
% 7.66/1.61 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.66/1.61
% 7.66/1.61 ------ iProver source info
% 7.66/1.61
% 7.66/1.61 git: date: 2024-05-02 19:28:25 +0000
% 7.66/1.61 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.66/1.61 git: non_committed_changes: false
% 7.66/1.61
% 7.66/1.61 ------ Parsing...
% 7.66/1.61 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.66/1.61
% 7.66/1.61 ------ Preprocessing... sup_sim: 0 sf_s rm: 13 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 2 sf_s rm: 20 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 20 0s sf_e pe_s pe_e
% 7.66/1.61
% 7.66/1.61 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.66/1.61
% 7.66/1.61 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.66/1.61 ------ Proving...
% 7.66/1.61 ------ Problem Properties
% 7.66/1.61
% 7.66/1.61
% 7.66/1.61 clauses 161
% 7.66/1.61 conjectures 2
% 7.66/1.61 EPR 27
% 7.66/1.61 Horn 144
% 7.66/1.61 unary 83
% 7.66/1.61 binary 34
% 7.66/1.61 lits 331
% 7.66/1.61 lits eq 41
% 7.66/1.61 fd_pure 0
% 7.66/1.61 fd_pseudo 0
% 7.66/1.61 fd_cond 4
% 7.66/1.61 fd_pseudo_cond 12
% 7.66/1.61 AC symbols 0
% 7.66/1.61
% 7.66/1.61 ------ Schedule dynamic 5 is on
% 7.66/1.61
% 7.66/1.61 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.66/1.61
% 7.66/1.61
% 7.66/1.61 ------
% 7.66/1.61 Current options:
% 7.66/1.61 ------
% 7.66/1.61
% 7.66/1.61
% 7.66/1.61
% 7.66/1.61
% 7.66/1.61 ------ Proving...
% 7.66/1.61
% 7.66/1.61
% 7.66/1.61 % SZS status Theorem for theBenchmark.p
% 7.66/1.61
% 7.66/1.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.66/1.61
% 7.66/1.62
%------------------------------------------------------------------------------