%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT286+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 : n003.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 01:58:34 PM UTC 2026
% Result : Theorem 5.69s 2.79s
% Output : CNFRefutation 5.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 162 ( 25 unt; 0 def)
% Number of atoms : 603 ( 73 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 741 ( 300 ~; 350 |; 70 &)
% ( 4 <=>; 17 =>; 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 : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-3 aty)
% Number of variables : 208 ( 0 sgn 206 !; 2 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_lopclset) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_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(f50,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f53,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(f57,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(f58,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(f59,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(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(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(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(f96,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(f97,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_lopclset) ).
fof(f118,plain,
? [X0] :
( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& ~ m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f119,plain,
? [X0] :
( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& ~ m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(flattening,[],[f118]) ).
fof(f125,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(f126,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f125]) ).
fof(f152,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f156,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,[],[f53]) ).
fof(f157,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,[],[f156]) ).
fof(f158,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,[],[f57]) ).
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)
| ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
inference(flattening,[],[f158]) ).
fof(f160,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,[],[f58]) ).
fof(f161,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,[],[f160]) ).
fof(f162,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,[],[f59]) ).
fof(f163,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,[],[f162]) ).
fof(f182,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f183,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f182]) ).
fof(f192,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(f193,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,[],[f192]) ).
fof(f194,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(f195,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,[],[f194]) ).
fof(f197,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(f198,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,[],[f197]) ).
fof(f202,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(f203,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(flattening,[],[f202]) ).
fof(f209,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,[],[f96]) ).
fof(f210,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,[],[f209]) ).
fof(f211,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(ennf_transformation,[],[f97]) ).
fof(f212,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(flattening,[],[f211]) ).
fof(f213,plain,
( l1_pre_topc(sK0)
& v2_pre_topc(sK0)
& ~ v3_struct_0(sK0)
& ~ m1_subset_1(k2_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f119]) ).
fof(f220,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(f242,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,[],[f193]) ).
fof(f243,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f213]) ).
fof(f244,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f213]) ).
fof(f245,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f213]) ).
fof(f246,plain,
~ m1_subset_1(k2_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))),
inference(cnf_transformation,[],[f213]) ).
fof(f261,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f338,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f343,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,[],[f157]) ).
fof(f348,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,[],[f159]) ).
fof(f349,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,[],[f161]) ).
fof(f350,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,[],[f161]) ).
fof(f351,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_1(k4_lopclset(X0)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f352,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,[],[f163]) ).
fof(f353,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,[],[f163]) ).
fof(f354,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_1(k5_lopclset(X0)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f384,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f398,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,[],[f242]) ).
fof(f400,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,[],[f195]) ).
fof(f402,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| l3_lattices(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f410,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f91]) ).
fof(f411,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f203]) ).
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,[],[f210]) ).
fof(f416,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_49,negated_conjecture,
~ m1_subset_1(k2_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))),
inference(cnf_transformation,[],[f246]) ).
tcf(c_50,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f245]) ).
tcf(c_51,negated_conjecture,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f244]) ).
tcf(c_52,negated_conjecture,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f243]) ).
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,[],[f261]) ).
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,[],[f266]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_141,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,[],[f343]) ).
tcf(c_147,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,[],[f348]) ).
tcf(c_149,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_1(k4_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_150,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,[],[f350]) ).
tcf(c_151,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,[],[f349]) ).
tcf(c_152,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_1(k5_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_153,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,[],[f353]) ).
tcf(c_154,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,[],[f352]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f384]) ).
tcf(c_198,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,[],[f398]) ).
tcf(c_199,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,[],[f400]) ).
tcf(c_203,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l3_lattices(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f402]) ).
tcf(c_206,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f410]) ).
tcf(c_210,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f411]) ).
tcf(c_214,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_215,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_subset_1(k2_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_322,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_323,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_322]) ).
tcf(c_1816,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_323,c_151]) ).
tcf(c_1817,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_1816]) ).
tcf(c_1831,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_323,c_154]) ).
tcf(c_1832,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_1831]) ).
tcf(c_1871,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_1832]) ).
tcf(c_1872,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_1871]) ).
tcf(c_1878,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_1817]) ).
tcf(c_1879,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_1878]) ).
tcf(c_1885,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_subset_1(k2_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_215]) ).
tcf(c_1886,plain,
( v3_struct_0(sK0)
| m2_subset_1(k2_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1885]) ).
tcf(c_1887,plain,
m2_subset_1(k2_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1886,c_52,c_50,c_1886]) ).
tcf(c_1892,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_214]) ).
tcf(c_1893,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_1892]) ).
tcf(c_1894,plain,
g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)) = k6_lopclset(sK0),
inference(global_subsumption_just,[status(thm)],[c_1893,c_52,c_50,c_1893]) ).
tcf(c_1899,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_210]) ).
tcf(c_1900,plain,
( v3_struct_0(sK0)
| ~ l1_pre_topc(sK0)
| ~ v1_xboole_0(k1_lopclset(sK0)) ),
inference(unflattening,[status(thm)],[c_1899]) ).
tcf(c_1906,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_203]) ).
tcf(c_1907,plain,
( v3_struct_0(sK0)
| l3_lattices(k6_lopclset(sK0))
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1906]) ).
tcf(c_1908,plain,
l3_lattices(k6_lopclset(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1907,c_52,c_50,c_1907]) ).
tcf(c_1941,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_153]) ).
tcf(c_1942,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_1941]) ).
tcf(c_1943,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_1942,c_52,c_50,c_1942]) ).
tcf(c_1948,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_152]) ).
tcf(c_1949,plain,
( v3_struct_0(sK0)
| v1_funct_1(k5_lopclset(sK0))
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1948]) ).
tcf(c_1955,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_150]) ).
tcf(c_1956,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_1955]) ).
tcf(c_1957,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_1956,c_52,c_50,c_1956]) ).
tcf(c_1962,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_149]) ).
tcf(c_1963,plain,
( v3_struct_0(sK0)
| v1_funct_1(k4_lopclset(sK0))
| ~ l1_pre_topc(sK0) ),
inference(unflattening,[status(thm)],[c_1962]) ).
tcf(c_1995,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_199]) ).
tcf(c_1996,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_1995]) ).
tcf(c_2176,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 )
| ( k2_pre_topc(sK0) != X0 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_198,c_1887]) ).
tcf(c_2177,plain,
( v1_xboole_0(k1_lopclset(sK0))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(k2_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_2176]) ).
tcf(c_2178,plain,
( m1_subset_1(k2_pre_topc(sK0),k1_lopclset(sK0))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2177,c_52,c_50,c_1900,c_1996,c_2177]) ).
tcf(c_2179,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(k2_pre_topc(sK0),k1_lopclset(sK0)) ),
inference(renaming,[status(thm)],[c_2178]) ).
tcf(c_2184,plain,
m1_subset_1(k2_pre_topc(sK0),k1_lopclset(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_2179,c_206]) ).
tcf(c_3183,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_1908]) ).
tcf(c_3184,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_3183]) ).
tcf(c_8892,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_8906,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_10198,plain,
( m1_subset_1(k2_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0)))
| ~ r2_hidden(k2_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_10204,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_183]) ).
tcf(c_10321,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0)))
| ~ r2_hidden(X1,X0)
| ( k2_pre_topc(sK0) != X1 )
| ( u1_struct_0(k6_lopclset(sK0)) != X0 ) ),
inference(instantiation,[status(thm)],[c_8906]) ).
tcf(c_10573,plain,
( v1_xboole_0(k1_lopclset(sK0))
| r2_hidden(k2_pre_topc(sK0),k1_lopclset(sK0))
| ~ m1_subset_1(k2_pre_topc(sK0),k1_lopclset(sK0)) ),
inference(instantiation,[status(thm)],[c_10204]) ).
tcf(c_11917,plain,
( r2_hidden(k2_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0)))
| ~ r2_hidden(k2_pre_topc(sK0),k1_lopclset(sK0))
| ( k2_pre_topc(sK0) != k2_pre_topc(sK0) )
| ( u1_struct_0(k6_lopclset(sK0)) != k1_lopclset(sK0) ) ),
inference(instantiation,[status(thm)],[c_10321]) ).
tcf(c_13936,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_1943,c_147]) ).
tcf(c_14284,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_13936,c_52,c_50,c_1872,c_1949,c_13936]) ).
tcf(c_14285,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_14284]) ).
tcf(c_14289,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_1957,c_14285]) ).
tcf(c_14397,plain,
v3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))),
inference(global_subsumption_just,[status(thm)],[c_14289,c_52,c_50,c_1879,c_1963,c_14289]) ).
tcf(c_14399,plain,
v3_lattices(k6_lopclset(sK0)),
inference(superposition,[status(thm)],[c_1894,c_14397]) ).
tcf(c_14603,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_1894,c_141]) ).
tcf(c_14604,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_1894,c_141]) ).
tcf(c_16147,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_14604,c_52,c_50,c_1872,c_1879,c_1942,c_1949,c_1956,c_1963,c_14603]) ).
tcf(c_17080,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_1943,c_147]) ).
tcf(c_17099,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_17080,c_52,c_50,c_1872,c_1949,c_13936]) ).
tcf(c_17100,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_17099]) ).
tcf(c_17103,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_1957,c_17100]) ).
tcf(c_17107,plain,
v3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))),
inference(global_subsumption_just,[status(thm)],[c_17103,c_52,c_50,c_1879,c_1963,c_14289]) ).
tcf(c_17109,plain,
v3_lattices(k6_lopclset(sK0)),
inference(superposition,[status(thm)],[c_1894,c_17107]) ).
tcf(c_17111,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_17109,c_66]) ).
tcf(c_17127,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_1894,c_141]) ).
tcf(c_17174,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_17127,c_16147]) ).
tcf(c_18365,plain,
k2_pre_topc(sK0) = k2_pre_topc(sK0),
inference(instantiation,[status(thm)],[c_8892]) ).
tcf(c_19911,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_17111,c_3184,c_14399]) ).
tcf(c_19919,plain,
u1_struct_0(k6_lopclset(sK0)) = k1_lopclset(sK0),
inference(superposition,[status(thm)],[c_19911,c_17174]) ).
tcf(c_19922,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19919,c_18365,c_11917,c_10573,c_10198,c_2184,c_1900,c_49,c_50,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT286+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 20:52:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 5.69/2.79 % SZS status Started for theBenchmark.p
% 5.69/2.79 % SZS status Theorem for theBenchmark.p
% 5.69/2.79
% 5.69/2.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.69/2.79
% 5.69/2.79 % ------ iProver source info
% 5.69/2.79
% 5.69/2.79 % git: date: 2026-07-19 20:42:38 +0200
% 5.69/2.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.69/2.79 % git: non_committed_changes: false
% 5.69/2.79
% 5.69/2.79 % ------ Parsing...
% 5.69/2.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.69/2.79
% 5.69/2.79 % ------ Preprocessing... sup_sim: 0 sf_s rm: 78 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 %
% 5.69/2.79
% 5.69/2.79 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.69/2.79
% 5.69/2.79 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 5.69/2.79 % ------ Proving...
% 5.69/2.79 % ------ Problem Properties
% 5.69/2.79
% 5.69/2.79 %
% 5.69/2.79 % clauses 122
% 5.69/2.79 % conjectures 2
% 5.69/2.79 % EPR 21
% 5.69/2.79 % Horn 104
% 5.69/2.79 % unary 61
% 5.69/2.79 % binary 37
% 5.69/2.79 % lits 242
% 5.69/2.79 % lits eq 16
% 5.69/2.79 % fd_pure 0
% 5.69/2.79 % fd_pseudo 0
% 5.69/2.79 % fd_cond 1
% 5.69/2.79 % fd_pseudo_cond 6
% 5.69/2.79 % AC symbols 0
% 5.69/2.79
% 5.69/2.79 % ------ Input Options Time Limit: Unbounded
% 5.69/2.79
% 5.69/2.79
% 5.69/2.79 % ------
% 5.69/2.79 % Current options:
% 5.69/2.79 % ------
% 5.69/2.79
% 5.69/2.79
% 5.69/2.79 %
% 5.69/2.79
% 5.69/2.79 % ------ Proving...
% 5.69/2.79 %
% 5.69/2.79
% 5.69/2.79 % SZS status Theorem for theBenchmark.p
% 5.69/2.79
% 5.69/2.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.69/2.80
% 5.69/2.80
%------------------------------------------------------------------------------