TSTP Solution File: LAT338+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT338+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:17:55 EDT 2023
% Result : Theorem 7.74s 1.70s
% Output : CNFRefutation 7.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 193 ( 31 unt; 0 def)
% Number of atoms : 717 ( 70 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 859 ( 335 ~; 361 |; 136 &)
% ( 4 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 234 ( 23 sgn; 131 !; 8 ?)
% 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(f15,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] : k16_lattice3(X0,X1) = k15_lattice3(X0,a_2_1_lattice3(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d22_lattice3) ).
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(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(f146,plain,
! [X0] :
( ! [X1] : k16_lattice3(X0,X1) = k15_lattice3(X0,a_2_1_lattice3(X0,X1))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f147,plain,
! [X0] :
( ! [X1] : k16_lattice3(X0,X1) = k15_lattice3(X0,a_2_1_lattice3(X0,X1))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f146]) ).
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(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(f359,plain,
! [X0,X1] :
( k16_lattice3(X0,X1) = k15_lattice3(X0,a_2_1_lattice3(X0,X1))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f147]) ).
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(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(f467,plain,
! [X2,X3,X0,X1,X4,X5] :
( X2 = X5
| 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_70,plain,
( ~ l3_lattices(X0)
| k15_lattice3(X0,a_2_1_lattice3(X0,X1)) = k16_lattice3(X0,X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f359]) ).
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_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_176,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)
| X2 = X5 ),
inference(cnf_transformation,[],[f467]) ).
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_23485,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_23486,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_24238,plain,
( k15_lattice3(k11_conlat_1(sK3),a_2_1_lattice3(k11_conlat_1(sK3),X0)) = k16_lattice3(k11_conlat_1(sK3),X0)
| v3_struct_0(k11_conlat_1(sK3)) ),
inference(superposition,[status(thm)],[c_4705,c_70]) ).
cnf(c_24246,plain,
k15_lattice3(k11_conlat_1(sK3),a_2_1_lattice3(k11_conlat_1(sK3),X0)) = k16_lattice3(k11_conlat_1(sK3),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_24238,c_4691]) ).
cnf(c_24327,plain,
( ~ l3_lattices(k11_conlat_1(sK3))
| g3_lattices(u1_struct_0(k11_conlat_1(sK3)),u2_lattices(k11_conlat_1(sK3)),u1_lattices(k11_conlat_1(sK3))) = k11_conlat_1(sK3) ),
inference(superposition,[status(thm)],[c_4698,c_53]) ).
cnf(c_24332,plain,
g3_lattices(u1_struct_0(k11_conlat_1(sK3)),u2_lattices(k11_conlat_1(sK3)),u1_lattices(k11_conlat_1(sK3))) = k11_conlat_1(sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_24327,c_4705]) ).
cnf(c_24938,plain,
( g3_lattices(X0,X1,X2) != k11_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))
| ~ 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))
| k9_conlat_1(sK3) = X2 ),
inference(superposition,[status(thm)],[c_4733,c_176]) ).
cnf(c_24959,plain,
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK3)
| k9_conlat_1(sK3) = X2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_24938,c_4663,c_4712,c_23485,c_23486,c_4670,c_4719]) ).
cnf(c_25004,plain,
u1_lattices(k11_conlat_1(sK3)) = k9_conlat_1(sK3),
inference(superposition,[status(thm)],[c_24332,c_24959]) ).
cnf(c_25005,plain,
g3_lattices(u1_struct_0(k11_conlat_1(sK3)),u2_lattices(k11_conlat_1(sK3)),k9_conlat_1(sK3)) = k11_conlat_1(sK3),
inference(demodulation,[status(thm)],[c_24332,c_25004]) ).
cnf(c_25210,plain,
( g3_lattices(X0,X1,X2) != k11_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))
| ~ 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_4733,c_178]) ).
cnf(c_25221,plain,
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK3)
| k8_conlat_1(sK3) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_25210,c_4663,c_4712,c_23485,c_23486,c_4670,c_4719]) ).
cnf(c_26412,plain,
u1_struct_0(k11_conlat_1(sK3)) = k8_conlat_1(sK3),
inference(superposition,[status(thm)],[c_25005,c_25221]) ).
cnf(c_26534,plain,
( ~ l3_lattices(k11_conlat_1(sK3))
| m1_subset_1(k15_lattice3(k11_conlat_1(sK3),X0),k8_conlat_1(sK3))
| v3_struct_0(k11_conlat_1(sK3)) ),
inference(superposition,[status(thm)],[c_26412,c_82]) ).
cnf(c_26536,plain,
m1_subset_1(k15_lattice3(k11_conlat_1(sK3),X0),k8_conlat_1(sK3)),
inference(forward_subsumption_resolution,[status(thm)],[c_26534,c_4691,c_4705]) ).
cnf(c_26547,plain,
( r2_hidden(k15_lattice3(k11_conlat_1(sK3),X0),k8_conlat_1(sK3))
| v1_xboole_0(k8_conlat_1(sK3)) ),
inference(superposition,[status(thm)],[c_26536,c_245]) ).
cnf(c_26548,plain,
r2_hidden(k15_lattice3(k11_conlat_1(sK3),X0),k8_conlat_1(sK3)),
inference(forward_subsumption_resolution,[status(thm)],[c_26547,c_4523]) ).
cnf(c_26554,plain,
~ v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),X0),sK3),
inference(superposition,[status(thm)],[c_26548,c_14761]) ).
cnf(c_26555,plain,
l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),X0),sK3),
inference(superposition,[status(thm)],[c_26548,c_14765]) ).
cnf(c_26556,plain,
v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),X0),sK3),
inference(superposition,[status(thm)],[c_26548,c_14763]) ).
cnf(c_26558,plain,
( ~ 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(k16_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_26554]) ).
cnf(c_26559,plain,
( ~ 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(forward_subsumption_resolution,[status(thm)],[c_26558,c_26556,c_26555]) ).
cnf(c_26627,plain,
l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),X0),sK3),
inference(superposition,[status(thm)],[c_24246,c_26555]) ).
cnf(c_26628,plain,
( ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_26559,c_26627]) ).
cnf(c_26632,plain,
v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),X0),sK3),
inference(superposition,[status(thm)],[c_24246,c_26556]) ).
cnf(c_26645,plain,
~ v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),X0),sK3),
inference(superposition,[status(thm)],[c_24246,c_26554]) ).
cnf(c_26708,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_26628,c_26645,c_26632]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT338+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 06:27:44 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.74/1.70 % SZS status Started for theBenchmark.p
% 7.74/1.70 % SZS status Theorem for theBenchmark.p
% 7.74/1.70
% 7.74/1.70 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.74/1.70
% 7.74/1.70 ------ iProver source info
% 7.74/1.70
% 7.74/1.70 git: date: 2023-05-31 18:12:56 +0000
% 7.74/1.70 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.74/1.70 git: non_committed_changes: false
% 7.74/1.70 git: last_make_outside_of_git: false
% 7.74/1.70
% 7.74/1.70 ------ Parsing...
% 7.74/1.70 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.74/1.70
% 7.74/1.70 ------ 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
% 7.74/1.70
% 7.74/1.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.74/1.70
% 7.74/1.70 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.74/1.70 ------ Proving...
% 7.74/1.70 ------ Problem Properties
% 7.74/1.70
% 7.74/1.70
% 7.74/1.70 clauses 156
% 7.74/1.70 conjectures 2
% 7.74/1.70 EPR 25
% 7.74/1.70 Horn 139
% 7.74/1.70 unary 78
% 7.74/1.70 binary 34
% 7.74/1.70 lits 326
% 7.74/1.70 lits eq 36
% 7.74/1.70 fd_pure 0
% 7.74/1.70 fd_pseudo 0
% 7.74/1.70 fd_cond 4
% 7.74/1.70 fd_pseudo_cond 12
% 7.74/1.70 AC symbols 0
% 7.74/1.70
% 7.74/1.70 ------ Schedule dynamic 5 is on
% 7.74/1.70
% 7.74/1.70 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.74/1.70
% 7.74/1.70
% 7.74/1.70 ------
% 7.74/1.70 Current options:
% 7.74/1.70 ------
% 7.74/1.70
% 7.74/1.70
% 7.74/1.70
% 7.74/1.70
% 7.74/1.70 ------ Proving...
% 7.74/1.70
% 7.74/1.70
% 7.74/1.70 % SZS status Theorem for theBenchmark.p
% 7.74/1.70
% 7.74/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.74/1.70
% 7.74/1.70
%------------------------------------------------------------------------------