%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT304+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:59:11 PM UTC 2026
% Result : Theorem 7.92s 1.71s
% Output : CNFRefutation 7.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 162 ( 28 unt; 3 def)
% Number of atoms : 632 ( 59 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 624 ( 256 ~; 254 |; 91 &)
% ( 7 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 24 ( 22 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-3 aty)
% Number of variables : 179 ( 0 sgn 177 !; 2 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f19,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f27,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/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f29,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/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f41,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f51,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/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f52,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/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f66,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f67,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f69,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f71,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f91,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ~ m2_filter_2(u1_struct_0(X0),X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f92,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ~ m2_filter_2(u1_struct_0(X0),X0) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f94,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f93]) ).
fof(f104,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f107,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f110,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f120,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f121,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f130,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f131,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f130]) ).
fof(f146,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f147,plain,
! [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)) ) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [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 ) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f149,plain,
! [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 ) ) ),
inference(flattening,[],[f148]) ).
fof(f155,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f156,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f158,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0) ),
inference(flattening,[],[f157]) ).
fof(f160,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f71]) ).
fof(f161,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
inference(flattening,[],[f160]) ).
fof(f173,plain,
( l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1)
& ~ m2_filter_2(u1_struct_0(sK1),sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f92]) ).
fof(f199,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0) )
& ( ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0) ) ) ),
inference(nnf_transformation,[],[f156]) ).
fof(f200,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,[],[f67]) ).
fof(f201,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ( ~ m2_filter_2(X1,X0)
| m1_filter_2(X1,k1_lattice2(X0)) )
& ( ~ m1_filter_2(X1,k1_lattice2(X0))
| m2_filter_2(X1,X0) ) ) ),
inference(nnf_transformation,[],[f161]) ).
fof(f202,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f173]) ).
fof(f203,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f173]) ).
fof(f204,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f173]) ).
fof(f205,plain,
~ m2_filter_2(u1_struct_0(sK1),sK1),
inference(cnf_transformation,[],[f173]) ).
fof(f206,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f94]) ).
fof(f221,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f224,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f225,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f228,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f229,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f238,plain,
! [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)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f239,plain,
! [X0] :
( ~ 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,[],[f120]) ).
fof(f240,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f241,plain,
! [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)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f242,plain,
! [X0] :
( ~ 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,[],[f121]) ).
fof(f243,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f256,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f284,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f287,plain,
! [X2,X3,X0,X1,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)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f149]) ).
fof(f323,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f324,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f327,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f330,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_2(X1,k1_lattice2(X0))
| m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_49,negated_conjecture,
~ m2_filter_2(u1_struct_0(sK1),sK1),
inference(cnf_transformation,[],[f205]) ).
tcf(c_50,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f204]) ).
tcf(c_51,negated_conjecture,
v10_lattices(sK1),
inference(cnf_transformation,[],[f203]) ).
tcf(c_52,negated_conjecture,
l3_lattices(sK1),
inference(cnf_transformation,[],[f202]) ).
tcf(c_53,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 )
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_64,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) = k1_lattice2(X0) )
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_67,plain,
! [X0: $i] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_68,plain,
! [X0: $i] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_71,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_72,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_81,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_82,plain,
! [X0: $i] :
( 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,[],[f239]) ).
tcf(c_83,plain,
! [X0: $i] :
( 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,[],[f238]) ).
tcf(c_84,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_85,plain,
! [X0: $i] :
( 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,[],[f242]) ).
tcf(c_86,plain,
! [X0: $i] :
( 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,[],[f241]) ).
tcf(c_98,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_127,plain,
! [X0: $i] :
( sP0(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_170,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X0,k1_lattice2(X1)) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_168]) ).
tcf(c_288,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
tcf(c_290,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_72]) ).
tcf(c_316,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_81]) ).
tcf(c_318,plain,
! [X0: $i] :
( 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(prop_impl_just,[status(thm)],[c_82]) ).
tcf(c_320,plain,
! [X0: $i] :
( 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(prop_impl_just,[status(thm)],[c_83]) ).
tcf(c_326,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_84]) ).
tcf(c_328,plain,
! [X0: $i] :
( 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(prop_impl_just,[status(thm)],[c_85]) ).
tcf(c_330,plain,
! [X0: $i] :
( 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(prop_impl_just,[status(thm)],[c_86]) ).
tcf(c_1808,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_288,c_320]) ).
tcf(c_1809,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1808]) ).
tcf(c_1817,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_288,c_318]) ).
tcf(c_1818,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1817]) ).
tcf(c_1826,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u1_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_288,c_316]) ).
tcf(c_1827,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1826]) ).
tcf(c_1876,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_290,c_330]) ).
tcf(c_1877,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1876]) ).
tcf(c_1885,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_290,c_328]) ).
tcf(c_1886,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1885]) ).
tcf(c_1894,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u2_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_290,c_326]) ).
tcf(c_1895,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1894]) ).
tcf(c_1946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(X1,X2,X3)
| ~ l3_lattices(X0)
| ( u1_lattices(X0) != X1 )
| ( u1_struct_0(X0) != X3 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_280,c_1809]) ).
tcf(c_1947,plain,
! [X0: $i] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1946]) ).
tcf(c_1964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(X1,X2,X3)
| ~ l3_lattices(X0)
| ( u2_lattices(X0) != X1 )
| ( u1_struct_0(X0) != X3 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_280,c_1877]) ).
tcf(c_1965,plain,
! [X0: $i] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1964]) ).
tcf(c_2500,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X0,k1_lattice2(X1))
| ( X1 != sK1 )
| ( u1_struct_0(sK1) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_172]) ).
tcf(c_2501,plain,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ m1_filter_2(u1_struct_0(sK1),k1_lattice2(sK1)) ),
inference(unflattening,[status(thm)],[c_2500]) ).
tcf(c_2502,plain,
~ m1_filter_2(u1_struct_0(sK1),k1_lattice2(sK1)),
inference(global_subsumption_just,[status(thm)],[c_2501,c_52,c_51,c_50,c_2501]) ).
tcf(c_2634,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m1_filter_2(X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( u1_struct_0(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_165,c_170]) ).
tcf(c_2635,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_2(u1_struct_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2634]) ).
tcf(c_4266,definition,
iPr_def_11 = u1_struct_0(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_4267,definition,
iPr_def_12 = k1_lattice2(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_4269,plain,
~ m1_filter_2(iPr_def_11,iPr_def_12),
inference(demodulation,[status(thm)],[c_2502,c_4267]) ).
tcf(c_4270,negated_conjecture,
l3_lattices(sK1),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_4271,negated_conjecture,
v10_lattices(sK1),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_4272,negated_conjecture,
~ v3_struct_0(sK1),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_5551,plain,
( v3_lattices(iPr_def_12)
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_4267,c_67]) ).
tcf(c_5552,plain,
v3_lattices(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_5551,c_4270]) ).
tcf(c_5573,plain,
( l3_lattices(iPr_def_12)
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_4267,c_68]) ).
tcf(c_5574,plain,
l3_lattices(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_5573,c_4270]) ).
tcf(c_5682,plain,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| ~ v3_struct_0(iPr_def_12) ),
inference(superposition,[status(thm)],[c_4267,c_98]) ).
tcf(c_5683,plain,
~ v3_struct_0(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_5682,c_4272,c_4270]) ).
tcf(c_5956,plain,
g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_4270,c_64]) ).
tcf(c_5963,plain,
g3_lattices(iPr_def_11,u1_lattices(sK1),u2_lattices(sK1)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_5956,c_4266,c_4267]) ).
tcf(c_5992,plain,
( ( g3_lattices(u1_struct_0(iPr_def_12),u2_lattices(iPr_def_12),u1_lattices(iPr_def_12)) = iPr_def_12 )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_5552,c_53]) ).
tcf(c_5993,plain,
g3_lattices(u1_struct_0(iPr_def_12),u2_lattices(iPr_def_12),u1_lattices(iPr_def_12)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_5992,c_5574]) ).
tcf(c_6135,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(iPr_def_12) = X0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_5993,c_128]) ).
tcf(c_6854,plain,
( ( u1_struct_0(iPr_def_12) = iPr_def_11 )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11) ),
inference(superposition,[status(thm)],[c_5963,c_6135]) ).
tcf(c_12093,plain,
( v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11)
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_4266,c_1818]) ).
tcf(c_12102,plain,
v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12093,c_4270]) ).
tcf(c_12155,plain,
( ( u1_struct_0(iPr_def_12) = iPr_def_11 )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6854,c_12102]) ).
tcf(c_12602,plain,
( v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11)
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_4266,c_1886]) ).
tcf(c_12608,plain,
v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12602,c_4270]) ).
tcf(c_12631,plain,
( ( u1_struct_0(iPr_def_12) = iPr_def_11 )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11) ),
inference(backward_subsumption_resolution,[status(thm)],[c_12155,c_12608]) ).
tcf(c_13534,plain,
( m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11)
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_4266,c_1947]) ).
tcf(c_13537,plain,
m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_13534,c_4270]) ).
tcf(c_13549,plain,
( ( u1_struct_0(iPr_def_12) = iPr_def_11 )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11) ),
inference(backward_subsumption_resolution,[status(thm)],[c_12631,c_13537]) ).
tcf(c_13634,plain,
( m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11)
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_4266,c_1965]) ).
tcf(c_13637,plain,
m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(iPr_def_11,iPr_def_11),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_13634,c_4270]) ).
tcf(c_13783,plain,
( ( u1_struct_0(iPr_def_12) = iPr_def_11 )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_13549,c_12155,c_12608,c_13537,c_13637]) ).
tcf(c_13791,plain,
( ( u1_struct_0(iPr_def_12) = iPr_def_11 )
| ~ l3_lattices(sK1)
| ~ v1_funct_1(u2_lattices(sK1)) ),
inference(superposition,[status(thm)],[c_1827,c_13783]) ).
tcf(c_13792,plain,
( ( u1_struct_0(iPr_def_12) = iPr_def_11 )
| ~ v1_funct_1(u2_lattices(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13791,c_4270]) ).
tcf(c_13801,plain,
( ( u1_struct_0(iPr_def_12) = iPr_def_11 )
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_1895,c_13792]) ).
tcf(c_13802,plain,
u1_struct_0(iPr_def_12) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_13801,c_4270]) ).
tcf(c_13927,plain,
( v3_struct_0(iPr_def_12)
| m1_filter_2(iPr_def_11,iPr_def_12)
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_13802,c_2635]) ).
fof(f171,definition,
! [X0] :
( ~ sP0(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)) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f172,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(definition_folding,[],[f147,f171]) ).
fof(f185,plain,
! [X0] :
( ~ sP0(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)) ) ),
inference(nnf_transformation,[],[f171]) ).
fof(f275,plain,
! [X0] :
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_126,plain,
! [X0: $i] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_360,plain,
! [X0: $i] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_126]) ).
tcf(c_2125,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_127,c_360]) ).
tcf(c_2126,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2125]) ).
tcf(c_5545,plain,
( v10_lattices(iPr_def_12)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1) ),
inference(superposition,[status(thm)],[c_4267,c_2126]) ).
tcf(c_5546,plain,
v10_lattices(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_5545,c_4272,c_4270,c_4271]) ).
tcf(c_13945,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_13927,c_5683,c_4269,c_5574,c_5546]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT304+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 21:02:12 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 7.92/1.71 % SZS status Started for theBenchmark.p
% 7.92/1.71 % SZS status Theorem for theBenchmark.p
% 7.92/1.71
% 7.92/1.71 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.92/1.71
% 7.92/1.71 % ------ iProver source info
% 7.92/1.71
% 7.92/1.71 % git: date: 2026-07-19 20:42:38 +0200
% 7.92/1.71 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.92/1.71 % git: non_committed_changes: false
% 7.92/1.71
% 7.92/1.71 % ------ Parsing...
% 7.92/1.71 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.92/1.71
% 7.92/1.71 % ------ 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: 15 0s sf_e pe_s pe_e %
% 7.92/1.71
% 7.92/1.71 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.92/1.71
% 7.92/1.71 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.92/1.71 % ------ Proving...
% 7.92/1.71 % ------ Problem Properties
% 7.92/1.71
% 7.92/1.71 %
% 7.92/1.71 % clauses 105
% 7.92/1.71 % conjectures 3
% 7.92/1.71 % EPR 31
% 7.92/1.71 % Horn 87
% 7.92/1.71 % unary 45
% 7.92/1.71 % binary 28
% 7.92/1.71 % lits 245
% 7.92/1.71 % lits eq 14
% 7.92/1.71 % fd_pure 0
% 7.92/1.71 % fd_pseudo 0
% 7.92/1.71 % fd_cond 1
% 7.92/1.71 % fd_pseudo_cond 4
% 7.92/1.71 % AC symbols 0
% 7.92/1.71
% 7.92/1.71 % ------ Schedule dynamic 5 is on
% 7.92/1.71
% 7.92/1.71 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.92/1.71
% 7.92/1.71
% 7.92/1.71 % ------
% 7.92/1.71 % Current options:
% 7.92/1.71 % ------
% 7.92/1.71
% 7.92/1.71
% 7.92/1.71 %
% 7.92/1.71
% 7.92/1.71 % ------ Proving...
% 7.92/1.71 %
% 7.92/1.71
% 7.92/1.71 % SZS status Theorem for theBenchmark.p
% 7.92/1.71
% 7.92/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.92/1.71
% 7.92/1.71
%------------------------------------------------------------------------------