%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT343+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 : n012.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 01:59:25 PM UTC 2026
% Result : Theorem 8.26s 1.74s
% Output : CNFRefutation 8.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of formulae : 250 ( 27 unt; 1 def)
% Number of atoms : 1022 ( 79 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 1278 ( 506 ~; 583 |; 155 &)
% ( 4 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 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 : 28 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-4 aty)
% Number of variables : 361 ( 0 sgn 353 !; 8 ?; 172 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_conlat_1(X0))
=> ! [X2] :
( m1_subset_1(X2,u2_conlat_1(X0))
=> ( l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_conlat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_conlat_1(X0))
=> ! [X2] :
( m1_subset_1(X2,u2_conlat_1(X0))
=> ( l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),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(f14,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ( m1_conlat_1(X1,X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
=> ( l3_conlat_1(X2,X0)
& v9_conlat_1(X2,X0)
& ~ v7_conlat_1(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d18_conlat_1) ).
fof(f15,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d23_conlat_1) ).
fof(f17,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k10_conlat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_conlat_1) ).
fof(f18,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
fof(f23,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& v1_funct_1(k4_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_conlat_2) ).
fof(f24,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& v1_funct_1(k5_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_conlat_2) ).
fof(f26,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> m1_conlat_1(k8_conlat_1(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_conlat_1) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(f28,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k9_conlat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_conlat_1) ).
fof(f32,axiom,
! [X0] :
( l2_conlat_1(X0)
=> l1_conlat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_conlat_1) ).
fof(f36,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( m1_conlat_1(X1,X0)
=> ~ v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_conlat_1) ).
fof(f56,axiom,
! [X0] :
( ( l1_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ~ v1_xboole_0(u2_conlat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_conlat_1) ).
fof(f61,axiom,
! [X0] :
( ( l1_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ~ v1_xboole_0(u1_conlat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_conlat_1) ).
fof(f69,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( v4_lattice3(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_conlat_1) ).
fof(f71,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(f88,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f89,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(f92,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(f97,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f105,plain,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f69]) ).
fof(f115,plain,
? [X0] :
( l2_conlat_1(X0)
& ~ v3_conlat_1(X0)
& ? [X1] :
( m1_subset_1(X1,u1_conlat_1(X0))
& ? [X2] :
( m1_subset_1(X2,u2_conlat_1(X0))
& ( ~ l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f116,plain,
? [X0] :
( l2_conlat_1(X0)
& ~ v3_conlat_1(X0)
& ? [X1] :
( m1_subset_1(X1,u1_conlat_1(X0))
& ? [X2] :
( m1_subset_1(X2,u2_conlat_1(X0))
& ( ~ l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0) ) ) ) ),
inference(flattening,[],[f115]) ).
fof(f117,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(f118,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f117]) ).
fof(f134,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ( m1_conlat_1(X1,X0)
<=> ! [X2] :
( ~ r2_hidden(X2,X1)
| ( l3_conlat_1(X2,X0)
& v9_conlat_1(X2,X0)
& ~ v7_conlat_1(X2,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f135,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ( m1_conlat_1(X1,X0)
<=> ! [X2] :
( ~ r2_hidden(X2,X1)
| ( l3_conlat_1(X2,X0)
& v9_conlat_1(X2,X0)
& ~ v7_conlat_1(X2,X0) ) ) ) ) ),
inference(flattening,[],[f134]) ).
fof(f136,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f137,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0)) ),
inference(flattening,[],[f136]) ).
fof(f140,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k10_conlat_1(X0)) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f141,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k10_conlat_1(X0)) ) ),
inference(flattening,[],[f140]) ).
fof(f142,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f143,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& v1_funct_1(k4_conlat_2(X0)) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f145,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& v1_funct_1(k4_conlat_2(X0)) ) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& v1_funct_1(k5_conlat_2(X0)) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f147,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& v1_funct_1(k5_conlat_2(X0)) ) ),
inference(flattening,[],[f146]) ).
fof(f150,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_conlat_1(k8_conlat_1(X0),X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f151,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_conlat_1(k8_conlat_1(X0),X0) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k9_conlat_1(X0)) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f155,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k9_conlat_1(X0)) ) ),
inference(flattening,[],[f154]) ).
fof(f157,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| l1_conlat_1(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f160,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ! [X1] :
( ~ m1_conlat_1(X1,X0)
| ~ v1_xboole_0(X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f161,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ! [X1] :
( ~ m1_conlat_1(X1,X0)
| ~ v1_xboole_0(X1) ) ),
inference(flattening,[],[f160]) ).
fof(f168,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(u2_conlat_1(X0)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f169,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(u2_conlat_1(X0)) ),
inference(flattening,[],[f168]) ).
fof(f174,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(u1_conlat_1(X0)) ),
inference(ennf_transformation,[],[f61]) ).
fof(f175,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(u1_conlat_1(X0)) ),
inference(flattening,[],[f174]) ).
fof(f190,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(ennf_transformation,[],[f105]) ).
fof(f191,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(flattening,[],[f190]) ).
fof(f194,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,[],[f71]) ).
fof(f195,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,[],[f194]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(ennf_transformation,[],[f88]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(flattening,[],[f207]) ).
fof(f210,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f92]) ).
fof(f211,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f210]) ).
fof(f217,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f225,plain,
( l2_conlat_1(sK3)
& ~ v3_conlat_1(sK3)
& m1_subset_1(sK4,u1_conlat_1(sK3))
& m1_subset_1(sK5,u2_conlat_1(sK3))
& ( ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| v7_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| v7_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f116]) ).
fof(f226,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ( ( ~ m1_conlat_1(X1,X0)
| ! [X2] :
( ~ r2_hidden(X2,X1)
| ( l3_conlat_1(X2,X0)
& v9_conlat_1(X2,X0)
& ~ v7_conlat_1(X2,X0) ) ) )
& ( ? [X2] :
( r2_hidden(X2,X1)
& ( ~ l3_conlat_1(X2,X0)
| ~ v9_conlat_1(X2,X0)
| v7_conlat_1(X2,X0) ) )
| m1_conlat_1(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f135]) ).
fof(f227,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ( ( ~ m1_conlat_1(X1,X0)
| ! [X3] :
( ~ r2_hidden(X3,X1)
| ( l3_conlat_1(X3,X0)
& v9_conlat_1(X3,X0)
& ~ v7_conlat_1(X3,X0) ) ) )
& ( ? [X2] :
( r2_hidden(X2,X1)
& ( ~ l3_conlat_1(X2,X0)
| ~ v9_conlat_1(X2,X0)
| v7_conlat_1(X2,X0) ) )
| m1_conlat_1(X1,X0) ) ) ) ),
inference(rectify,[],[f226]) ).
fof(f228,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ( ( ~ m1_conlat_1(X1,X0)
| ! [X3] :
( ~ r2_hidden(X3,X1)
| ( l3_conlat_1(X3,X0)
& v9_conlat_1(X3,X0)
& ~ v7_conlat_1(X3,X0) ) ) )
& ( ( r2_hidden(sK6(X0,X1),X1)
& ( ~ l3_conlat_1(sK6(X0,X1),X0)
| ~ v9_conlat_1(sK6(X0,X1),X0)
| v7_conlat_1(sK6(X0,X1),X0) ) )
| m1_conlat_1(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f227]) ).
fof(f258,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,[],[f89]) ).
fof(f259,plain,
l2_conlat_1(sK3),
inference(cnf_transformation,[],[f225]) ).
fof(f260,plain,
~ v3_conlat_1(sK3),
inference(cnf_transformation,[],[f225]) ).
fof(f261,plain,
m1_subset_1(sK4,u1_conlat_1(sK3)),
inference(cnf_transformation,[],[f225]) ).
fof(f262,plain,
m1_subset_1(sK5,u2_conlat_1(sK3)),
inference(cnf_transformation,[],[f225]) ).
fof(f263,plain,
( ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| v7_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| v7_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3) ),
inference(cnf_transformation,[],[f225]) ).
fof(f264,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f118]) ).
fof(f289,plain,
! [X3,X0,X1] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(X1)
| ~ m1_conlat_1(X1,X0)
| ~ r2_hidden(X3,X1)
| l3_conlat_1(X3,X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f290,plain,
! [X3,X0,X1] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(X1)
| ~ m1_conlat_1(X1,X0)
| ~ r2_hidden(X3,X1)
| v9_conlat_1(X3,X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f291,plain,
! [X3,X0,X1] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(X1)
| ~ m1_conlat_1(X1,X0)
| ~ r2_hidden(X3,X1)
| ~ v7_conlat_1(X3,X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f294,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f297,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f298,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f299,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_1(k10_conlat_1(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f300,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| l3_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f301,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v3_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f303,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) ),
inference(cnf_transformation,[],[f145]) ).
fof(f304,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) ),
inference(cnf_transformation,[],[f145]) ).
fof(f305,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_1(k4_conlat_2(X0)) ),
inference(cnf_transformation,[],[f145]) ).
fof(f306,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) ),
inference(cnf_transformation,[],[f147]) ).
fof(f307,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) ),
inference(cnf_transformation,[],[f147]) ).
fof(f308,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_1(k5_conlat_2(X0)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f310,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_conlat_1(k8_conlat_1(X0),X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f312,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f313,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f314,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_1(k9_conlat_1(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f316,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| l1_conlat_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f320,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ m1_conlat_1(X1,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f339,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(u2_conlat_1(X0)) ),
inference(cnf_transformation,[],[f169]) ).
fof(f356,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(u1_conlat_1(X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f389,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f395,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,[],[f195]) ).
fof(f447,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(cnf_transformation,[],[f208]) ).
fof(f448,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f258]) ).
fof(f452,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f457,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_49,negated_conjecture,
( v7_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| v7_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_50,negated_conjecture,
m1_subset_1(sK5,u2_conlat_1(sK3)),
inference(cnf_transformation,[],[f262]) ).
tcf(c_51,negated_conjecture,
m1_subset_1(sK4,u1_conlat_1(sK3)),
inference(cnf_transformation,[],[f261]) ).
tcf(c_52,negated_conjecture,
~ v3_conlat_1(sK3),
inference(cnf_transformation,[],[f260]) ).
tcf(c_53,negated_conjecture,
l2_conlat_1(sK3),
inference(cnf_transformation,[],[f259]) ).
tcf(c_54,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,[],[f264]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ m1_conlat_1(X2,X1)
| ~ r2_hidden(X0,X2)
| ~ v7_conlat_1(X0,X1) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| v3_conlat_1(X2)
| v9_conlat_1(X0,X2)
| ~ l2_conlat_1(X2)
| ~ m1_conlat_1(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| v3_conlat_1(X2)
| l3_conlat_1(X0,X2)
| ~ l2_conlat_1(X2)
| ~ m1_conlat_1(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_75,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ( g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0)) = k11_conlat_1(X0) )
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_78,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v1_funct_1(k10_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_79,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_80,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_82,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_83,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| l3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_84,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v1_funct_1(k4_conlat_2(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_85,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_86,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_87,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v1_funct_1(k5_conlat_2(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_88,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_89,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_91,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m1_conlat_1(k8_conlat_1(X0),X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X1,X2,X0,X3),X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_93,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v1_funct_1(k9_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_94,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_95,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_97,plain,
! [X0: $i] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( v3_conlat_1(X1)
| ~ v1_xboole_0(X0)
| ~ l2_conlat_1(X1)
| ~ m1_conlat_1(X0,X1) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_120,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l1_conlat_1(X0)
| ~ v1_xboole_0(u2_conlat_1(X0)) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_137,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l1_conlat_1(X0)
| ~ v1_xboole_0(u1_conlat_1(X0)) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_170,plain,
! [X0: $i] :
( sP2(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f389]) ).
tcf(c_174,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,[],[f395]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k8_funct_2(X1,X2,X0,X3) = k1_funct_1(X0,X3) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f448]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f452]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_250,plain,
( l1_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_291,plain,
( sP2(sK3)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_170]) ).
tcf(c_299,plain,
( v3_conlat_1(sK3)
| v1_funct_1(k9_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_300,plain,
( v3_conlat_1(sK3)
| v1_funct_1(k5_conlat_2(sK3))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_301,plain,
( v3_conlat_1(sK3)
| v1_funct_1(k4_conlat_2(sK3))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_302,plain,
( v3_conlat_1(sK3)
| l3_lattices(k11_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_304,plain,
( v3_conlat_1(sK3)
| v1_funct_1(k10_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_316,plain,
( v3_conlat_1(sK3)
| ~ l1_conlat_1(sK3)
| ~ v1_xboole_0(u1_conlat_1(sK3)) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_318,plain,
( v3_conlat_1(sK3)
| ~ l1_conlat_1(sK3)
| ~ v1_xboole_0(u2_conlat_1(sK3)) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_320,plain,
( v3_conlat_1(sK3)
| m1_conlat_1(k8_conlat_1(sK3),sK3)
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_342,plain,
( v3_conlat_1(sK3)
| m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_343,plain,
( v3_conlat_1(sK3)
| v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_344,plain,
( v3_conlat_1(sK3)
| m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_345,plain,
( v3_conlat_1(sK3)
| v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_347,plain,
( v3_conlat_1(sK3)
| m2_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_348,plain,
( v3_conlat_1(sK3)
| v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_349,plain,
( v3_conlat_1(sK3)
| m2_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_350,plain,
( v3_conlat_1(sK3)
| v1_funct_2(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_352,plain,
( v3_conlat_1(sK3)
| ( g3_lattices(k8_conlat_1(sK3),k10_conlat_1(sK3),k9_conlat_1(sK3)) = k11_conlat_1(sK3) )
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X1)
| ~ m1_conlat_1(X1,X2)
| ~ l2_conlat_1(X2)
| l3_conlat_1(X0,X2)
| v3_conlat_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_74,c_238,c_74]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_conlat_1(X2)
| l3_conlat_1(X0,X2)
| ~ l2_conlat_1(X2)
| ~ m1_conlat_1(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_388]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X1)
| ~ m1_conlat_1(X1,X2)
| ~ l2_conlat_1(X2)
| v9_conlat_1(X0,X2)
| v3_conlat_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_238,c_73]) ).
tcf(c_391,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_conlat_1(X2)
| v9_conlat_1(X0,X2)
| ~ l2_conlat_1(X2)
| ~ m1_conlat_1(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_390]) ).
tcf(c_398,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_230]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X1,X2,X0,X3),X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_92,c_398]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k8_funct_2(X1,X2,X0,X3) = k1_funct_1(X0,X3) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_228,c_398]) ).
tcf(c_1850,plain,
! [X0: $i] :
( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_95]) ).
tcf(c_1851,plain,
( m2_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_1850]) ).
tcf(c_1852,plain,
m2_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_1851,c_53,c_52,c_347]) ).
tcf(c_1885,plain,
! [X0: $i] :
( m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_89]) ).
tcf(c_1886,plain,
( m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_1885]) ).
tcf(c_1887,plain,
m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3))),
inference(global_subsumption_just,[status(thm)],[c_1886,c_53,c_52,c_342]) ).
tcf(c_1892,plain,
! [X0: $i] :
( v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_88]) ).
tcf(c_1893,plain,
( v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_1892]) ).
tcf(c_1894,plain,
v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3))),
inference(global_subsumption_just,[status(thm)],[c_1893,c_53,c_52,c_343]) ).
tcf(c_1906,plain,
! [X0: $i] :
( m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_86]) ).
tcf(c_1907,plain,
( m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_1906]) ).
tcf(c_1908,plain,
m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3))),
inference(global_subsumption_just,[status(thm)],[c_1907,c_53,c_52,c_344]) ).
tcf(c_1913,plain,
! [X0: $i] :
( v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_85]) ).
tcf(c_1914,plain,
( v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_1913]) ).
tcf(c_1915,plain,
v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3))),
inference(global_subsumption_just,[status(thm)],[c_1914,c_53,c_52,c_345]) ).
tcf(c_1934,plain,
! [X0: $i] :
( v3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_82]) ).
tcf(c_1935,plain,
( v3_lattices(k11_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_1934]) ).
tcf(c_1948,plain,
! [X0: $i] :
( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_80]) ).
tcf(c_1949,plain,
( m2_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_1948]) ).
tcf(c_1950,plain,
m2_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_1949,c_53,c_52,c_349]) ).
tcf(c_1969,plain,
! [X0: $i] :
( ( g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0)) = k11_conlat_1(X0) )
| ~ l2_conlat_1(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_75]) ).
tcf(c_1970,plain,
( ( g3_lattices(k8_conlat_1(sK3),k10_conlat_1(sK3),k9_conlat_1(sK3)) = k11_conlat_1(sK3) )
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_1969]) ).
tcf(c_1971,plain,
g3_lattices(k8_conlat_1(sK3),k10_conlat_1(sK3),k9_conlat_1(sK3)) = k11_conlat_1(sK3),
inference(global_subsumption_just,[status(thm)],[c_1970,c_53,c_52,c_352]) ).
tcf(c_2012,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ l2_conlat_1(X0)
| ~ m1_conlat_1(X1,X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_101]) ).
tcf(c_2013,plain,
! [X0: $i] :
( ~ l2_conlat_1(sK3)
| ~ v1_xboole_0(X0)
| ~ m1_conlat_1(X0,sK3) ),
inference(unflattening,[status(thm)],[c_2012]) ).
tcf(c_2024,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| ~ l2_conlat_1(X0)
| ~ m1_conlat_1(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ v7_conlat_1(X1,X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_72]) ).
tcf(c_2025,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ l2_conlat_1(sK3)
| ~ m1_conlat_1(X1,sK3)
| ~ v7_conlat_1(X0,sK3)
| ~ r2_hidden(X0,X1) ),
inference(unflattening,[status(thm)],[c_2024]) ).
tcf(c_2026,plain,
! [X0: $i,X1: $i] :
( ~ m1_conlat_1(X1,sK3)
| ~ v7_conlat_1(X0,sK3)
| ~ r2_hidden(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2025,c_53,c_238,c_2025]) ).
tcf(c_2037,plain,
! [X0: $i,X1: $i,X2: $i] :
( v9_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| ~ m1_conlat_1(X2,X0)
| ~ r2_hidden(X1,X2)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_391]) ).
tcf(c_2038,plain,
! [X0: $i,X1: $i] :
( v9_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3)
| ~ m1_conlat_1(X1,sK3)
| ~ r2_hidden(X0,X1) ),
inference(unflattening,[status(thm)],[c_2037]) ).
tcf(c_2039,plain,
! [X0: $i,X1: $i] :
( v9_conlat_1(X0,sK3)
| ~ r2_hidden(X0,X1)
| ~ m1_conlat_1(X1,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_2038,c_53,c_2038]) ).
tcf(c_2040,plain,
! [X0: $i,X1: $i] :
( v9_conlat_1(X0,sK3)
| ~ m1_conlat_1(X1,sK3)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_2039]) ).
tcf(c_2050,plain,
! [X0: $i,X1: $i,X2: $i] :
( l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| ~ m1_conlat_1(X2,X0)
| ~ r2_hidden(X1,X2)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_389]) ).
tcf(c_2051,plain,
! [X0: $i,X1: $i] :
( l3_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3)
| ~ m1_conlat_1(X1,sK3)
| ~ r2_hidden(X0,X1) ),
inference(unflattening,[status(thm)],[c_2050]) ).
tcf(c_2052,plain,
! [X0: $i,X1: $i] :
( l3_conlat_1(X0,sK3)
| ~ r2_hidden(X0,X1)
| ~ m1_conlat_1(X1,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_2051,c_53,c_2051]) ).
tcf(c_2053,plain,
! [X0: $i,X1: $i] :
( l3_conlat_1(X0,sK3)
| ~ m1_conlat_1(X1,sK3)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_2052]) ).
tcf(c_4444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k8_funct_2(X1,X2,X0,X3) = k1_funct_1(X0,X3) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_2(X0,X1,X2)
| ( k5_conlat_2(sK3) != X0 )
| ( u2_conlat_1(sK3) != X1 )
| ( u1_struct_0(k11_conlat_1(sK3)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_646,c_1887]) ).
tcf(c_4445,plain,
! [X0: $i] :
( v1_xboole_0(u2_conlat_1(sK3))
| ( k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),X0) = k1_funct_1(k5_conlat_2(sK3),X0) )
| ~ v1_funct_1(k5_conlat_2(sK3))
| ~ m1_subset_1(X0,u2_conlat_1(sK3))
| ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3))) ),
inference(unflattening,[status(thm)],[c_4444]) ).
tcf(c_4447,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,u2_conlat_1(sK3))
| ( k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),X0) = k1_funct_1(k5_conlat_2(sK3),X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_4445,c_53,c_52,c_250,c_300,c_318,c_343,c_4445]) ).
tcf(c_4448,plain,
! [X0: $i] :
( ( k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),X0) = k1_funct_1(k5_conlat_2(sK3),X0) )
| ~ m1_subset_1(X0,u2_conlat_1(sK3)) ),
inference(renaming,[status(thm)],[c_4447]) ).
tcf(c_4566,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ( k9_conlat_1(sK3) != X0 )
| ( k8_conlat_1(sK3) != X2 )
| ( k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_398,c_1852]) ).
tcf(c_4567,plain,
m1_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(unflattening,[status(thm)],[c_4566]) ).
tcf(c_4616,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ( k10_conlat_1(sK3) != X0 )
| ( k8_conlat_1(sK3) != X2 )
| ( k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_398,c_1950]) ).
tcf(c_4617,plain,
m1_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(unflattening,[status(thm)],[c_4616]) ).
tcf(c_4885,plain,
! [X0: $i] :
( ~ m1_conlat_1(X0,sK3)
| ~ v1_xboole_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_53,c_2013]) ).
tcf(c_4886,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ m1_conlat_1(X0,sK3) ),
inference(renaming,[status(thm)],[c_4885]) ).
tcf(c_8762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| r2_hidden(k8_funct_2(X1,X2,X0,X3),X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_645,c_233]) ).
tcf(c_8817,plain,
! [X0: $i] :
( v1_xboole_0(u2_conlat_1(sK3))
| ( k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),X0) = k1_funct_1(k5_conlat_2(sK3),X0) )
| ~ v1_funct_1(k5_conlat_2(sK3))
| ~ m1_subset_1(X0,u2_conlat_1(sK3))
| ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3))) ),
inference(superposition,[status(thm)],[c_1887,c_646]) ).
tcf(c_9548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_conlat_1(sK3) = X0 )
| ~ v1_funct_1(k9_conlat_1(sK3))
| ~ v1_funct_1(k10_conlat_1(sK3))
| ~ m1_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ m1_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ v1_funct_2(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ( g3_lattices(X0,X1,X2) != k11_conlat_1(sK3) ) ),
inference(superposition,[status(thm)],[c_1971,c_174]) ).
tcf(c_9549,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_conlat_1(sK3) = 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) != k11_conlat_1(sK3) ) ),
inference(superposition,[status(thm)],[c_1971,c_174]) ).
tcf(c_11812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ m1_conlat_1(X1,sK3)
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v7_conlat_1(k8_funct_2(X0,X1,X2,X3),sK3) ),
inference(superposition,[status(thm)],[c_8762,c_2026]) ).
tcf(c_11813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| v9_conlat_1(k8_funct_2(X1,X2,X0,X3),sK3)
| ~ v1_funct_1(X0)
| ~ m1_conlat_1(X2,sK3)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8762,c_2040]) ).
tcf(c_11814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| l3_conlat_1(k8_funct_2(X1,X2,X0,X3),sK3)
| ~ v1_funct_1(X0)
| ~ m1_conlat_1(X2,sK3)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8762,c_2053]) ).
tcf(c_11886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| l3_conlat_1(k8_funct_2(X1,X2,X0,X3),sK3)
| ~ v1_funct_1(X0)
| ~ m1_conlat_1(X2,sK3)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11814,c_4886]) ).
tcf(c_11917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v9_conlat_1(k8_funct_2(X1,X2,X0,X3),sK3)
| ~ v1_funct_1(X0)
| ~ m1_conlat_1(X2,sK3)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11813,c_4886]) ).
tcf(c_11990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ m1_conlat_1(X1,sK3)
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v7_conlat_1(k8_funct_2(X0,X1,X2,X3),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11812,c_4886]) ).
tcf(c_12633,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,u2_conlat_1(sK3))
| ( k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),X0) = k1_funct_1(k5_conlat_2(sK3),X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_8817,c_4448]) ).
tcf(c_12634,plain,
! [X0: $i] :
( ( k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),X0) = k1_funct_1(k5_conlat_2(sK3),X0) )
| ~ m1_subset_1(X0,u2_conlat_1(sK3)) ),
inference(renaming,[status(thm)],[c_12633]) ).
tcf(c_12637,plain,
k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5) = k1_funct_1(k5_conlat_2(sK3),sK5),
inference(superposition,[status(thm)],[c_50,c_12634]) ).
tcf(c_14036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_conlat_1(sK3) = X0 )
| ( g3_lattices(X0,X1,X2) != k11_conlat_1(sK3) ) ),
inference(global_subsumption_just,[status(thm)],[c_9549,c_53,c_52,c_299,c_304,c_348,c_350,c_4567,c_4617,c_9548]) ).
tcf(c_20225,plain,
( v1_xboole_0(u1_conlat_1(sK3))
| v7_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| v7_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| ~ v1_funct_1(k4_conlat_2(sK3))
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| ~ m1_conlat_1(u1_struct_0(k11_conlat_1(sK3)),sK3)
| ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3) ),
inference(superposition,[status(thm)],[c_11917,c_49]) ).
tcf(c_20237,plain,
( v1_xboole_0(u1_conlat_1(sK3))
| v7_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ v1_funct_1(k4_conlat_2(sK3))
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| ~ m1_conlat_1(u1_struct_0(k11_conlat_1(sK3)),sK3)
| ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20225,c_11990,c_11886]) ).
fof(f223,definition,
! [X0] :
( ~ sP2(X0)
| ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f224,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP2(X0) ),
inference(definition_folding,[],[f191,f223]) ).
fof(f242,plain,
! [X0] :
( ~ sP2(X0)
| ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f387,plain,
! [X0] :
( ~ sP2(X0)
| v3_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_162,plain,
! [X0: $i] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_263,plain,
( v3_lattices(k11_conlat_1(sK3))
| ~ sP2(sK3) ),
inference(instantiation,[status(thm)],[c_162]) ).
tcf(c_520,plain,
! [X0: $i] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(prop_impl_just,[status(thm)],[c_162]) ).
tcf(c_1212,plain,
! [X0: $i,X1: $i] :
( ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1 )
| ~ sP2(X0)
| ~ l3_lattices(X1)
| ( k11_conlat_1(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_520]) ).
tcf(c_1213,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0))) = k11_conlat_1(X0) )
| ~ sP2(X0)
| ~ l3_lattices(k11_conlat_1(X0)) ),
inference(unflattening,[status(thm)],[c_1212]) ).
tcf(c_1214,plain,
( ( g3_lattices(u1_struct_0(k11_conlat_1(sK3)),u2_lattices(k11_conlat_1(sK3)),u1_lattices(k11_conlat_1(sK3))) = k11_conlat_1(sK3) )
| ~ sP2(sK3)
| ~ l3_lattices(k11_conlat_1(sK3)) ),
inference(instantiation,[status(thm)],[c_1213]) ).
tcf(c_1936,plain,
v3_lattices(k11_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_1935,c_53,c_52,c_263,c_291]) ).
tcf(c_8588,plain,
( ( g3_lattices(u1_struct_0(k11_conlat_1(sK3)),u2_lattices(k11_conlat_1(sK3)),u1_lattices(k11_conlat_1(sK3))) = k11_conlat_1(sK3) )
| ~ l3_lattices(k11_conlat_1(sK3)) ),
inference(superposition,[status(thm)],[c_1936,c_54]) ).
tcf(c_11481,plain,
g3_lattices(u1_struct_0(k11_conlat_1(sK3)),u2_lattices(k11_conlat_1(sK3)),u1_lattices(k11_conlat_1(sK3))) = k11_conlat_1(sK3),
inference(global_subsumption_just,[status(thm)],[c_8588,c_53,c_52,c_291,c_302,c_1214]) ).
tcf(c_14042,plain,
u1_struct_0(k11_conlat_1(sK3)) = k8_conlat_1(sK3),
inference(superposition,[status(thm)],[c_11481,c_14036]) ).
tcf(c_20247,plain,
( v1_xboole_0(u1_conlat_1(sK3))
| v7_conlat_1(k1_funct_1(k5_conlat_2(sK3),sK5),sK3)
| ~ v1_funct_1(k4_conlat_2(sK3))
| ~ m1_conlat_1(k8_conlat_1(sK3),sK3)
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| ~ l3_conlat_1(k1_funct_1(k5_conlat_2(sK3),sK5),sK3)
| ~ v9_conlat_1(k1_funct_1(k5_conlat_2(sK3),sK5),sK3)
| ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3)) ),
inference(demodulation,[status(thm)],[c_20237,c_12637,c_14042]) ).
tcf(c_25997,plain,
k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5) = k1_funct_1(k5_conlat_2(sK3),sK5),
inference(demodulation,[status(thm)],[c_12637,c_14042]) ).
tcf(c_25998,plain,
( v1_xboole_0(u2_conlat_1(sK3))
| ~ v1_funct_1(k5_conlat_2(sK3))
| ~ m1_conlat_1(k8_conlat_1(sK3),sK3)
| ~ m1_subset_1(sK5,u2_conlat_1(sK3))
| ~ v7_conlat_1(k1_funct_1(k5_conlat_2(sK3),sK5),sK3)
| ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3)) ),
inference(superposition,[status(thm)],[c_25997,c_11990]) ).
tcf(c_25999,plain,
( v1_xboole_0(u2_conlat_1(sK3))
| l3_conlat_1(k1_funct_1(k5_conlat_2(sK3),sK5),sK3)
| ~ v1_funct_1(k5_conlat_2(sK3))
| ~ m1_conlat_1(k8_conlat_1(sK3),sK3)
| ~ m1_subset_1(sK5,u2_conlat_1(sK3))
| ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3)) ),
inference(superposition,[status(thm)],[c_25997,c_11886]) ).
tcf(c_26000,plain,
( v1_xboole_0(u2_conlat_1(sK3))
| v9_conlat_1(k1_funct_1(k5_conlat_2(sK3),sK5),sK3)
| ~ v1_funct_1(k5_conlat_2(sK3))
| ~ m1_conlat_1(k8_conlat_1(sK3),sK3)
| ~ m1_subset_1(sK5,u2_conlat_1(sK3))
| ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3)) ),
inference(superposition,[status(thm)],[c_25997,c_11917]) ).
tcf(c_27765,plain,
m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3)),
inference(demodulation,[status(thm)],[c_1887,c_14042]) ).
tcf(c_27766,plain,
v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3)),
inference(demodulation,[status(thm)],[c_1894,c_14042]) ).
tcf(c_27767,plain,
m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3)),
inference(demodulation,[status(thm)],[c_1908,c_14042]) ).
tcf(c_27768,plain,
v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3)),
inference(demodulation,[status(thm)],[c_1915,c_14042]) ).
tcf(c_27794,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_27765,c_27766,c_27767,c_27768,c_25998,c_25999,c_26000,c_20247,c_320,c_318,c_316,c_301,c_300,c_250,c_50,c_51,c_52,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT343+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.51 % Computer : n012.cluster.edu
% 0.04/0.51 % Model : x86_64 x86_64
% 0.04/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.51 % Memory : 8046.5625MB
% 0.04/0.51 % OS : Linux 6.8.0-71-generic
% 0.04/0.51 % CPULimit : 300
% 0.04/0.51 % WCLimit : 300
% 0.04/0.51 % DateTime : Wed Sep 23 21:13:38 UTC 2026
% 0.04/0.51 % CPUTime :
% 0.04/0.52 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.54 Running first-order theorem proving
% 0.07/0.54 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
% 0.07/0.54
% 0.07/0.54 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.54
% 0.07/0.54 % Detected problem language: tptp
% 0.07/0.55 % Proving...
% 8.26/1.74 % SZS status Started for theBenchmark.p
% 8.26/1.74 % SZS status Theorem for theBenchmark.p
% 8.26/1.74
% 8.26/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.26/1.74
% 8.26/1.74 % ------ iProver source info
% 8.26/1.74
% 8.26/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 8.26/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.26/1.74 % git: non_committed_changes: false
% 8.26/1.74
% 8.26/1.74 % ------ Parsing...
% 8.26/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.26/1.74
% 8.26/1.74 % ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 pe_s pe_e %
% 8.26/1.74
% 8.26/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 1 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 8.26/1.74
% 8.26/1.74 % ------ Preprocessing...
% 8.26/1.74 % ------ Proving...
% 8.26/1.74 % ------ Problem Properties
% 8.26/1.74
% 8.26/1.74 %
% 8.26/1.74 % clauses 131
% 8.26/1.74 % conjectures 3
% 8.26/1.74 % EPR 30
% 8.26/1.74 % Horn 117
% 8.26/1.74 % unary 71
% 8.26/1.74 % binary 36
% 8.26/1.74 % lits 257
% 8.26/1.74 % lits eq 20
% 8.26/1.74 % fd_pure 0
% 8.26/1.74 % fd_pseudo 0
% 8.26/1.74 % fd_cond 3
% 8.26/1.74 % fd_pseudo_cond 4
% 8.26/1.74 % AC symbols 0
% 8.26/1.74
% 8.26/1.74 % ------ Input Options Time Limit: Unbounded
% 8.26/1.74
% 8.26/1.74
% 8.26/1.74 % ------
% 8.26/1.74 % Current options:
% 8.26/1.74 % ------
% 8.26/1.74
% 8.26/1.74
% 8.26/1.74 %
% 8.26/1.74
% 8.26/1.74 % ------ Proving...
% 8.26/1.74 %
% 8.26/1.74
% 8.26/1.74 % SZS status Theorem for theBenchmark.p
% 8.26/1.74
% 8.26/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.26/1.74
% 8.26/1.74
%------------------------------------------------------------------------------