%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT287+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 : n008.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 01:58:43 PM UTC 2026
% Result : Theorem 14.47s 2.81s
% Output : CNFRefutation 14.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 180 ( 25 unt; 0 def)
% Number of atoms : 654 ( 79 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 795 ( 321 ~; 369 |; 82 &)
% ( 4 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-3 aty)
% Number of variables : 228 ( 0 sgn 226 !; 2 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_lopclset) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f9,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(f14,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(f52,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f55,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(f59,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(f60,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(k4_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_lopclset) ).
fof(f61,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(k5_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lopclset) ).
fof(f69,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v1_xboole_0(k1_pre_topc(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_pre_topc) ).
fof(f73,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f76,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f82,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_subset_1) ).
fof(f83,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lopclset) ).
fof(f86,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& ~ v3_struct_0(k6_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_lopclset) ).
fof(f87,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f91,axiom,
! [X0] :
( v4_finsub_1(k1_zfmisc_1(X0))
& v3_finsub_1(k1_zfmisc_1(X0))
& v1_finsub_1(k1_zfmisc_1(X0))
& ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_finsub_1) ).
fof(f92,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k1_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lopclset) ).
fof(f95,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_lopclset) ).
fof(f96,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_lopclset) ).
fof(f117,plain,
? [X0] :
( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f118,plain,
? [X0] :
( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(flattening,[],[f117]) ).
fof(f124,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f125,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f124]) ).
fof(f155,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f159,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,[],[f55]) ).
fof(f160,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,[],[f159]) ).
fof(f161,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)
| ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f162,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)
| ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
inference(flattening,[],[f161]) ).
fof(f163,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(k4_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f164,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(k4_lopclset(X0)) ) ),
inference(flattening,[],[f163]) ).
fof(f165,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(k5_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f166,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(k5_lopclset(X0)) ) ),
inference(flattening,[],[f165]) ).
fof(f175,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v1_xboole_0(k1_pre_topc(X0)) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f180,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f181,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f180]) ).
fof(f184,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f190,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f191,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) ) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(ennf_transformation,[],[f83]) ).
fof(f193,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(flattening,[],[f192]) ).
fof(f195,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( l3_lattices(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& ~ v3_struct_0(k6_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f196,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( l3_lattices(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& ~ v3_struct_0(k6_lopclset(X0)) ) ),
inference(flattening,[],[f195]) ).
fof(f197,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f200,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(ennf_transformation,[],[f92]) ).
fof(f201,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(flattening,[],[f200]) ).
fof(f205,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
inference(ennf_transformation,[],[f95]) ).
fof(f206,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(ennf_transformation,[],[f96]) ).
fof(f208,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(flattening,[],[f207]) ).
fof(f209,plain,
( l1_pre_topc(sK0)
& v2_pre_topc(sK0)
& ~ v3_struct_0(sK0)
& ~ m1_subset_1(k1_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f118]) ).
fof(f216,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,[],[f14]) ).
fof(f238,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( ( ~ m2_subset_1(X2,X0,X1)
| m1_subset_1(X2,X1) )
& ( ~ m1_subset_1(X2,X1)
| m2_subset_1(X2,X0,X1) ) ) ),
inference(nnf_transformation,[],[f191]) ).
fof(f239,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f209]) ).
fof(f240,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f209]) ).
fof(f241,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f209]) ).
fof(f242,plain,
~ m1_subset_1(k1_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))),
inference(cnf_transformation,[],[f209]) ).
fof(f257,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f216]) ).
fof(f339,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f344,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,[],[f160]) ).
fof(f349,plain,
! [X2,X0,X1] :
( ~ 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)
| v3_lattices(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f350,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f351,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f352,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_1(k4_lopclset(X0)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f353,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f354,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f355,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_1(k5_lopclset(X0)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f379,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v1_xboole_0(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f385,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f388,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f399,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ m2_subset_1(X2,X0,X1)
| m1_subset_1(X2,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f401,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(cnf_transformation,[],[f193]) ).
fof(f403,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| l3_lattices(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f196]) ).
fof(f406,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f411,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f91]) ).
fof(f412,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f415,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
inference(cnf_transformation,[],[f206]) ).
fof(f416,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_49,negated_conjecture,
~ m1_subset_1(k1_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))),
inference(cnf_transformation,[],[f242]) ).
tcf(c_50,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f241]) ).
tcf(c_51,negated_conjecture,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f240]) ).
tcf(c_52,negated_conjecture,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f239]) ).
tcf(c_66,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 )
| ~ l3_lattices(X0)
| ~ v3_lattices(X0) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_146,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,[],[f344]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_lattices(g3_lattices(X1,X2,X0))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_154,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_1(k4_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_155,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_156,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_157,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_1(k5_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f355]) ).
tcf(c_158,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_159,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_177,plain,
! [X0: $i] :
( v1_xboole_0(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f385]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m2_subset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_204,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_208,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l3_lattices(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_209,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_211,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f411]) ).
tcf(c_215,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f412]) ).
tcf(c_218,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) = k6_lopclset(X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f415]) ).
tcf(c_219,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f416]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_72]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_330]) ).
tcf(c_368,plain,
! [X0: $i] :
( v1_xboole_0(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_177]) ).
tcf(c_444,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_209]) ).
tcf(c_1864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| m1_relset_1(X1,X2,X3)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( k1_lopclset(X0) != X3 )
| ( k4_lopclset(X0) != X1 )
| ( k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_331,c_156]) ).
tcf(c_1865,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_1864]) ).
tcf(c_1879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| m1_relset_1(X1,X2,X3)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( k5_lopclset(X0) != X1 )
| ( k1_lopclset(X0) != X3 )
| ( k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_331,c_159]) ).
tcf(c_1880,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_1879]) ).
tcf(c_1919,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_1880]) ).
tcf(c_1920,plain,
( v3_struct_0(sK0)
| m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1919]) ).
tcf(c_1926,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_1865]) ).
tcf(c_1927,plain,
( v3_struct_0(sK0)
| m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1926]) ).
tcf(c_1933,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_219]) ).
tcf(c_1934,plain,
( v3_struct_0(sK0)
| m2_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1933]) ).
tcf(c_1935,plain,
m2_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1934,c_52,c_50,c_1934]) ).
tcf(c_1940,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) = k6_lopclset(X0) )
| ~ l1_pre_topc(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_218]) ).
tcf(c_1941,plain,
( v3_struct_0(sK0)
| ( g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)) = k6_lopclset(sK0) )
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1940]) ).
tcf(c_1942,plain,
g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)) = k6_lopclset(sK0),
inference(global_subsumption_just,[status(thm)],[c_1941,c_52,c_50,c_1941]) ).
tcf(c_1947,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_lopclset(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_215]) ).
tcf(c_1948,plain,
( v3_struct_0(sK0)
| ~ l1_pre_topc(sK0)
| ~ v1_xboole_0(k1_lopclset(sK0)) ),
inference(unflattening,[status(thm)],[c_1947]) ).
tcf(c_1954,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l3_lattices(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_208]) ).
tcf(c_1955,plain,
( v3_struct_0(sK0)
| l3_lattices(k6_lopclset(sK0))
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1954]) ).
tcf(c_1956,plain,
l3_lattices(k6_lopclset(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1955,c_52,c_50,c_1955]) ).
tcf(c_1968,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_158]) ).
tcf(c_1969,plain,
( v3_struct_0(sK0)
| v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1968]) ).
tcf(c_1970,plain,
v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1969,c_52,c_50,c_1969]) ).
tcf(c_1975,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_1(k5_lopclset(X0))
| ~ l1_pre_topc(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_157]) ).
tcf(c_1976,plain,
( v3_struct_0(sK0)
| v1_funct_1(k5_lopclset(sK0))
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1975]) ).
tcf(c_1982,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_155]) ).
tcf(c_1983,plain,
( v3_struct_0(sK0)
| v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1982]) ).
tcf(c_1984,plain,
v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1983,c_52,c_50,c_1983]) ).
tcf(c_1989,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_1(k4_lopclset(X0))
| ~ l1_pre_topc(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_154]) ).
tcf(c_1990,plain,
( v3_struct_0(sK0)
| v1_funct_1(k4_lopclset(sK0))
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1989]) ).
tcf(c_2038,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_444]) ).
tcf(c_2039,plain,
l1_struct_0(sK0),
inference(unflattening,[status(thm)],[c_2038]) ).
tcf(c_2043,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_204]) ).
tcf(c_2044,plain,
( v3_struct_0(sK0)
| m1_subset_1(k1_lopclset(sK0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)))) ),
inference(unflattening,[status(thm)],[c_2043]) ).
tcf(c_2224,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ( k1_lopclset(sK0) != X2 )
| ( k1_pre_topc(sK0) != X0 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_203,c_1935]) ).
tcf(c_2225,plain,
( v1_xboole_0(k1_lopclset(sK0))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(k1_pre_topc(sK0),k1_lopclset(sK0))
| ~ m1_subset_1(k1_lopclset(sK0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)))) ),
inference(unflattening,[status(thm)],[c_2224]) ).
tcf(c_2226,plain,
( m1_subset_1(k1_pre_topc(sK0),k1_lopclset(sK0))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2225,c_52,c_50,c_1948,c_2044,c_2225]) ).
tcf(c_2227,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(k1_pre_topc(sK0),k1_lopclset(sK0)) ),
inference(renaming,[status(thm)],[c_2226]) ).
tcf(c_2232,plain,
m1_subset_1(k1_pre_topc(sK0),k1_lopclset(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_2227,c_211]) ).
tcf(c_2459,plain,
! [X0: $i] :
( v1_xboole_0(k1_pre_topc(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_368,c_2039]) ).
tcf(c_2460,plain,
v1_xboole_0(k1_pre_topc(sK0)),
inference(unflattening,[status(thm)],[c_2459]) ).
tcf(c_3192,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 )
| ~ v3_lattices(X0)
| ( k6_lopclset(sK0) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_1956]) ).
tcf(c_3193,plain,
( ( g3_lattices(u1_struct_0(k6_lopclset(sK0)),u2_lattices(k6_lopclset(sK0)),u1_lattices(k6_lopclset(sK0))) = k6_lopclset(sK0) )
| ~ v3_lattices(k6_lopclset(sK0)) ),
inference(unflattening,[status(thm)],[c_3192]) ).
tcf(c_8091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X2)
| ~ r2_hidden(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9363,plain,
( m1_subset_1(k1_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0)))
| ~ r2_hidden(k1_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_9369,plain,
! [X0: $i] :
( v1_xboole_0(k1_lopclset(sK0))
| r2_hidden(X0,k1_lopclset(sK0))
| ~ m1_subset_1(X0,k1_lopclset(sK0)) ),
inference(instantiation,[status(thm)],[c_188]) ).
tcf(c_9462,plain,
! [X0: $i] :
( ( k1_pre_topc(sK0) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k1_pre_topc(sK0)) ),
inference(instantiation,[status(thm)],[c_191]) ).
tcf(c_9471,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0)))
| ~ r2_hidden(X1,X0)
| ( k1_pre_topc(sK0) != X1 )
| ( u1_struct_0(k6_lopclset(sK0)) != X0 ) ),
inference(instantiation,[status(thm)],[c_8091]) ).
tcf(c_9741,plain,
( v1_xboole_0(k1_lopclset(sK0))
| r2_hidden(k1_pre_topc(sK0),k1_lopclset(sK0))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_lopclset(sK0)) ),
inference(instantiation,[status(thm)],[c_9369]) ).
tcf(c_11983,plain,
( r2_hidden(k1_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0)))
| ~ r2_hidden(k1_pre_topc(sK0),k1_lopclset(sK0))
| ( k1_pre_topc(sK0) != k1_pre_topc(sK0) )
| ( u1_struct_0(k6_lopclset(sK0)) != k1_lopclset(sK0) ) ),
inference(instantiation,[status(thm)],[c_9471]) ).
tcf(c_12615,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(k5_lopclset(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(superposition,[status(thm)],[c_1970,c_152]) ).
tcf(c_13011,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_12615,c_52,c_50,c_1920,c_1976,c_12615]) ).
tcf(c_13012,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0)))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(renaming,[status(thm)],[c_13011]) ).
tcf(c_13016,plain,
( v3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)))
| ~ v1_funct_1(k4_lopclset(sK0))
| ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(superposition,[status(thm)],[c_1984,c_13012]) ).
tcf(c_13050,plain,
v3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))),
inference(global_subsumption_just,[status(thm)],[c_13016,c_52,c_50,c_1927,c_1990,c_13016]) ).
tcf(c_13052,plain,
v3_lattices(k6_lopclset(sK0)),
inference(superposition,[status(thm)],[c_1942,c_13050]) ).
tcf(c_13299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_lopclset(sK0) = X0 )
| ~ v1_funct_1(k5_lopclset(sK0))
| ~ v1_funct_1(k4_lopclset(sK0))
| ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ( g3_lattices(X0,X1,X2) != k6_lopclset(sK0) ) ),
inference(superposition,[status(thm)],[c_1942,c_146]) ).
tcf(c_13300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_lopclset(sK0) = 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) != k6_lopclset(sK0) ) ),
inference(superposition,[status(thm)],[c_1942,c_146]) ).
tcf(c_16969,plain,
( ( k1_pre_topc(sK0) = k1_pre_topc(sK0) )
| ~ v1_xboole_0(k1_pre_topc(sK0)) ),
inference(instantiation,[status(thm)],[c_9462]) ).
tcf(c_17066,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_lopclset(sK0) = X0 )
| ( g3_lattices(X0,X1,X2) != k6_lopclset(sK0) ) ),
inference(global_subsumption_just,[status(thm)],[c_13300,c_52,c_50,c_1920,c_1927,c_1969,c_1976,c_1983,c_1990,c_13299]) ).
tcf(c_17549,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(k5_lopclset(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(superposition,[status(thm)],[c_1970,c_152]) ).
tcf(c_17553,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_17549,c_52,c_50,c_1920,c_1976,c_12615]) ).
tcf(c_17554,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0)))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(renaming,[status(thm)],[c_17553]) ).
tcf(c_17557,plain,
( v3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)))
| ~ v1_funct_1(k4_lopclset(sK0))
| ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(superposition,[status(thm)],[c_1984,c_17554]) ).
tcf(c_17560,plain,
v3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))),
inference(global_subsumption_just,[status(thm)],[c_17557,c_52,c_50,c_1927,c_1990,c_13016]) ).
tcf(c_17562,plain,
v3_lattices(k6_lopclset(sK0)),
inference(superposition,[status(thm)],[c_1942,c_17560]) ).
tcf(c_17687,plain,
( ( g3_lattices(u1_struct_0(k6_lopclset(sK0)),u2_lattices(k6_lopclset(sK0)),u1_lattices(k6_lopclset(sK0))) = k6_lopclset(sK0) )
| ~ l3_lattices(k6_lopclset(sK0)) ),
inference(superposition,[status(thm)],[c_17562,c_66]) ).
tcf(c_17810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_lopclset(sK0) = 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) != k6_lopclset(sK0) ) ),
inference(superposition,[status(thm)],[c_1942,c_146]) ).
tcf(c_17831,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_lopclset(sK0) = X0 )
| ( g3_lattices(X0,X1,X2) != k6_lopclset(sK0) ) ),
inference(global_subsumption_just,[status(thm)],[c_17810,c_17066]) ).
tcf(c_18000,plain,
g3_lattices(u1_struct_0(k6_lopclset(sK0)),u2_lattices(k6_lopclset(sK0)),u1_lattices(k6_lopclset(sK0))) = k6_lopclset(sK0),
inference(global_subsumption_just,[status(thm)],[c_17687,c_3193,c_13052]) ).
tcf(c_18007,plain,
u1_struct_0(k6_lopclset(sK0)) = k1_lopclset(sK0),
inference(superposition,[status(thm)],[c_18000,c_17831]) ).
tcf(c_18011,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18007,c_16969,c_11983,c_9741,c_9363,c_2460,c_2232,c_1948,c_49,c_50,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT287+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 20:51:39 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 14.47/2.81 % SZS status Started for theBenchmark.p
% 14.47/2.81 % SZS status Theorem for theBenchmark.p
% 14.47/2.81
% 14.47/2.81 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.47/2.81
% 14.47/2.81 % ------ iProver source info
% 14.47/2.81
% 14.47/2.81 % git: date: 2026-07-19 20:42:38 +0200
% 14.47/2.81 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.47/2.81 % git: non_committed_changes: false
% 14.47/2.81
% 14.47/2.81 % ------ Parsing...
% 14.47/2.81 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.47/2.81
% 14.47/2.81 % ------ Preprocessing... sup_sim: 0 sf_s rm: 83 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 3 sf_s rm: 26 0s sf_e pe_s pe_e %
% 14.47/2.81
% 14.47/2.81 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.47/2.81
% 14.47/2.81 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.47/2.81 % ------ Proving...
% 14.47/2.81 % ------ Problem Properties
% 14.47/2.81
% 14.47/2.81 %
% 14.47/2.81 % clauses 122
% 14.47/2.81 % conjectures 2
% 14.47/2.81 % EPR 21
% 14.47/2.81 % Horn 104
% 14.47/2.81 % unary 65
% 14.47/2.81 % binary 34
% 14.47/2.81 % lits 237
% 14.47/2.81 % lits eq 16
% 14.47/2.81 % fd_pure 0
% 14.47/2.81 % fd_pseudo 0
% 14.47/2.81 % fd_cond 1
% 14.47/2.81 % fd_pseudo_cond 6
% 14.47/2.81 % AC symbols 0
% 14.47/2.81
% 14.47/2.81 % ------ Input Options Time Limit: Unbounded
% 14.47/2.81
% 14.47/2.81
% 14.47/2.81 % ------
% 14.47/2.81 % Current options:
% 14.47/2.81 % ------
% 14.47/2.81
% 14.47/2.81
% 14.47/2.81 %
% 14.47/2.81
% 14.47/2.81 % ------ Proving...
% 14.47/2.81 %
% 14.47/2.81
% 14.47/2.81 % SZS status Theorem for theBenchmark.p
% 14.47/2.81
% 14.47/2.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.47/2.82
% 14.47/2.82
%------------------------------------------------------------------------------