%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT296+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 : n004.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 01:59:09 PM UTC 2026
% Result : Theorem 7.85s 1.72s
% Output : CNFRefutation 7.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f380ERROR: Could not build tree for root c_11876ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k7_lattices(X0,X2) = k7_lattices(X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k7_lattices(X0,X2) = k7_lattices(X1,X3) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f20,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattices) ).
fof(f24,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f28,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f30,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f47,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(f64,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(f66,axiom,
! [X0] :
( ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v16_lattices(X1)
& v15_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( r2_lattices(X0,X2,X3)
& X3 = X5
& X2 = X4 )
=> r2_lattices(X1,X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_filter_2) ).
fof(f89,plain,
? [X0] :
( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X2 = X3
& k7_lattices(X0,X2) != k7_lattices(X1,X3) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f90,plain,
? [X0] :
( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X2 = X3
& k7_lattices(X0,X2) != k7_lattices(X1,X3) ) ) ) ),
inference(flattening,[],[f89]) ).
fof(f106,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f107,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f106]) ).
fof(f116,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f117,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
inference(flattening,[],[f116]) ).
fof(f120,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f122,plain,
! [X0] :
( ~ l1_lattices(X0)
| ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f123,plain,
! [X0] :
( ~ l2_lattices(X0)
| ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f138,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,[],[f47]) ).
fof(f139,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,[],[f138]) ).
fof(f143,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_lattices(X0,X2,X3)
| X3 != X5
| X2 != X4
| r2_lattices(X1,X4,X5) ) ) ) ) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f144,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_lattices(X0,X2,X3)
| X3 != X5
| X2 != X4
| r2_lattices(X1,X4,X5) ) ) ) ) ) ),
inference(flattening,[],[f143]) ).
fof(f155,plain,
( l3_lattices(sK0)
& v17_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0)
& l3_lattices(sK1)
& v17_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1)
& g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
& m1_subset_1(sK2,u1_struct_0(sK0))
& m1_subset_1(sK3,u1_struct_0(sK1))
& sK2 = sK3
& k7_lattices(sK0,sK2) != k7_lattices(sK1,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f90]) ).
fof(f180,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,[],[f64]) ).
fof(f181,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f182,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f183,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f184,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f185,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f155]) ).
fof(f186,plain,
v17_lattices(sK1),
inference(cnf_transformation,[],[f155]) ).
fof(f187,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f155]) ).
fof(f188,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f155]) ).
fof(f189,plain,
g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)),
inference(cnf_transformation,[],[f155]) ).
fof(f190,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f155]) ).
fof(f191,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f155]) ).
fof(f192,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f155]) ).
fof(f193,plain,
k7_lattices(sK0,sK2) != k7_lattices(sK1,sK3),
inference(cnf_transformation,[],[f155]) ).
fof(f214,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v16_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f215,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f218,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f234,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f237,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f238,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f240,plain,
! [X0] :
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f241,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f242,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f243,plain,
! [X0] :
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f244,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f245,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f273,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,[],[f139]) ).
fof(f362,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_lattices(X0,X2,X3)
| X3 != X5
| X2 != X4
| r2_lattices(X1,X4,X5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f374,plain,
k7_lattices(sK1,sK3) != k7_lattices(sK0,sK3),
inference(definition_unfolding,[],[f193,f192]) ).
fof(f375,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f190,f192]) ).
fof(f377,plain,
! [X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_lattices(X0,X4,X3)
| X3 != X5
| r2_lattices(X1,X4,X5) ),
inference(equality_resolution,[],[f365]) ).
fof(f378,plain,
! [X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_lattices(X0,X4,X5)
| r2_lattices(X1,X4,X5) ),
inference(equality_resolution,[],[f377]) ).
tcf(c_49,negated_conjecture,
k7_lattices(sK1,sK3) != k7_lattices(sK0,sK3),
inference(cnf_transformation,[],[f374]) ).
tcf(c_50,negated_conjecture,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f191]) ).
tcf(c_51,negated_conjecture,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f375]) ).
tcf(c_52,negated_conjecture,
g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) = g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)),
inference(cnf_transformation,[],[f189]) ).
tcf(c_53,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f188]) ).
tcf(c_54,negated_conjecture,
v10_lattices(sK1),
inference(cnf_transformation,[],[f187]) ).
tcf(c_55,negated_conjecture,
v17_lattices(sK1),
inference(cnf_transformation,[],[f186]) ).
tcf(c_56,negated_conjecture,
l3_lattices(sK1),
inference(cnf_transformation,[],[f185]) ).
tcf(c_57,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f184]) ).
tcf(c_58,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f183]) ).
tcf(c_59,negated_conjecture,
v17_lattices(sK0),
inference(cnf_transformation,[],[f182]) ).
tcf(c_60,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f181]) ).
tcf(c_75,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_78,plain,
! [X0: $i] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_79,plain,
! [X0: $i] :
( v16_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k7_lattices(X0,X2) = X1 )
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| r2_lattices(X0,k7_lattices(X0,X1),X1)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(k7_lattices(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_94,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_95,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_97,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_98,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_99,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_100,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_101,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_102,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r2_lattices(X1,X2,X3)
| ~ v16_lattices(X1)
| ~ v16_lattices(X0)
| ~ v15_lattices(X1)
| ~ v15_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_lattices(X0,X2,X3)
| ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
inference(cnf_transformation,[],[f378]) ).
tcf(c_310,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_220]) ).
tcf(c_312,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_94]) ).
tcf(c_314,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_95]) ).
tcf(c_340,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_97]) ).
tcf(c_342,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_98]) ).
tcf(c_344,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_99]) ).
tcf(c_350,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_100]) ).
tcf(c_352,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_101]) ).
tcf(c_354,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_102]) ).
tcf(c_1108,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r2_lattices(X1,k7_lattices(X1,X0),X0)
| ~ v16_lattices(X1)
| ~ v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_88,c_91]) ).
tcf(c_1835,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_312,c_344]) ).
tcf(c_1836,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1835]) ).
tcf(c_1844,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_312,c_342]) ).
tcf(c_1845,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1844]) ).
tcf(c_1853,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u1_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_312,c_340]) ).
tcf(c_1854,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1853]) ).
tcf(c_1903,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_314,c_354]) ).
tcf(c_1904,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1903]) ).
tcf(c_1912,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_314,c_352]) ).
tcf(c_1913,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1912]) ).
tcf(c_1921,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u2_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_314,c_350]) ).
tcf(c_1922,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1921]) ).
tcf(c_1973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(X1,X2,X3)
| ~ l3_lattices(X0)
| ( u1_lattices(X0) != X1 )
| ( u1_struct_0(X0) != X3 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_310,c_1836]) ).
tcf(c_1974,plain,
! [X0: $i] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1973]) ).
tcf(c_1991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(X1,X2,X3)
| ~ l3_lattices(X0)
| ( u2_lattices(X0) != X1 )
| ( u1_struct_0(X0) != X3 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_310,c_1904]) ).
tcf(c_1992,plain,
! [X0: $i] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1991]) ).
tcf(c_2332,plain,
! [X0: $i] :
( v16_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_79]) ).
tcf(c_2333,plain,
( v16_lattices(sK1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(unflattening,[status(thm)],[c_2332]) ).
tcf(c_2334,plain,
v16_lattices(sK1),
inference(global_subsumption_just,[status(thm)],[c_2333,c_56,c_53,c_2333]) ).
tcf(c_2339,plain,
! [X0: $i] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_78]) ).
tcf(c_2340,plain,
( v15_lattices(sK1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(unflattening,[status(thm)],[c_2339]) ).
tcf(c_2341,plain,
v15_lattices(sK1),
inference(global_subsumption_just,[status(thm)],[c_2340,c_56,c_53,c_2340]) ).
tcf(c_2346,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_75]) ).
tcf(c_2347,plain,
( v11_lattices(sK1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(unflattening,[status(thm)],[c_2346]) ).
tcf(c_2348,plain,
v11_lattices(sK1),
inference(global_subsumption_just,[status(thm)],[c_2347,c_56,c_53,c_2347]) ).
tcf(c_2353,plain,
! [X0: $i] :
( v16_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_79]) ).
tcf(c_2354,plain,
( v16_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_2353]) ).
tcf(c_2355,plain,
v16_lattices(sK0),
inference(global_subsumption_just,[status(thm)],[c_2354,c_60,c_57,c_2354]) ).
tcf(c_2360,plain,
! [X0: $i] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_78]) ).
tcf(c_2361,plain,
( v15_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_2360]) ).
tcf(c_2362,plain,
v15_lattices(sK0),
inference(global_subsumption_just,[status(thm)],[c_2361,c_60,c_57,c_2361]) ).
tcf(c_2367,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_75]) ).
tcf(c_2368,plain,
( v11_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_2367]) ).
tcf(c_2369,plain,
v11_lattices(sK0),
inference(global_subsumption_just,[status(thm)],[c_2368,c_60,c_57,c_2368]) ).
tcf(c_2455,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k7_lattices(X0,X2) = X1 )
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_lattices(X0,X1,X2)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_87,c_2369]) ).
tcf(c_2456,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| ( k7_lattices(sK0,X1) = X0 )
| ~ v16_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_lattices(sK0,X0,X1) ),
inference(unflattening,[status(thm)],[c_2455]) ).
tcf(c_2458,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_lattices(sK0,X0,X1)
| ( k7_lattices(sK0,X1) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_2456,c_60,c_58,c_57,c_2354,c_2456]) ).
tcf(c_2459,plain,
! [X0: $i,X1: $i] :
( ( k7_lattices(sK0,X1) = X0 )
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_lattices(sK0,X0,X1) ),
inference(renaming,[status(thm)],[c_2458]) ).
tcf(c_2500,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| r2_lattices(X0,k7_lattices(X0,X1),X1)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_1108,c_2348]) ).
tcf(c_2501,plain,
! [X0: $i] :
( v3_struct_0(sK1)
| r2_lattices(sK1,k7_lattices(sK1,X0),X0)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(unflattening,[status(thm)],[c_2500]) ).
tcf(c_2503,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| r2_lattices(sK1,k7_lattices(sK1,X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_2501,c_56,c_54,c_53,c_2333,c_2501]) ).
tcf(c_2504,plain,
! [X0: $i] :
( r2_lattices(sK1,k7_lattices(sK1,X0),X0)
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(renaming,[status(thm)],[c_2503]) ).
tcf(c_3485,definition,
iPr_def_10 = u1_struct_0(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3486,definition,
iPr_def_11 = u1_struct_0(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3487,definition,
iPr_def_12 = u2_lattices(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_3488,definition,
iPr_def_13 = u1_lattices(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_3489,definition,
iPr_def_14 = g3_lattices(iPr_def_11,iPr_def_12,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_3490,definition,
iPr_def_15 = u2_lattices(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_3491,definition,
iPr_def_16 = u1_lattices(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_3492,definition,
iPr_def_17 = g3_lattices(iPr_def_10,iPr_def_15,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_3493,definition,
iPr_def_18 = k7_lattices(sK1,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_3494,definition,
iPr_def_19 = k7_lattices(sK0,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_3496,plain,
! [X0: $i] :
( r2_lattices(sK1,k7_lattices(sK1,X0),X0)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(demodulation,[status(thm)],[c_2504,c_3486]) ).
tcf(c_3497,plain,
! [X0: $i,X1: $i] :
( ( k7_lattices(sK0,X1) = X0 )
| ~ m1_subset_1(X1,iPr_def_10)
| ~ m1_subset_1(X0,iPr_def_10)
| ~ r2_lattices(sK0,X0,X1) ),
inference(demodulation,[status(thm)],[c_2459]) ).
tcf(c_3499,plain,
v15_lattices(sK0),
inference(demodulation,[status(thm)],[c_2362]) ).
tcf(c_3500,plain,
v16_lattices(sK0),
inference(demodulation,[status(thm)],[c_2355]) ).
tcf(c_3501,plain,
v15_lattices(sK1),
inference(demodulation,[status(thm)],[c_2341]) ).
tcf(c_3502,plain,
v16_lattices(sK1),
inference(demodulation,[status(thm)],[c_2334]) ).
tcf(c_3503,negated_conjecture,
l3_lattices(sK0),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_3504,negated_conjecture,
v10_lattices(sK0),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_3505,negated_conjecture,
~ v3_struct_0(sK0),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_3506,negated_conjecture,
l3_lattices(sK1),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_3507,negated_conjecture,
v10_lattices(sK1),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_3508,negated_conjecture,
~ v3_struct_0(sK1),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_3509,negated_conjecture,
iPr_def_14 = iPr_def_17,
inference(demodulation,[status(thm)],[c_52,c_3491,c_3490,c_3492,c_3488,c_3487,c_3489]) ).
tcf(c_3510,negated_conjecture,
m1_subset_1(sK3,iPr_def_10),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_3511,negated_conjecture,
m1_subset_1(sK3,iPr_def_11),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_3512,negated_conjecture,
iPr_def_18 != iPr_def_19,
inference(demodulation,[status(thm)],[c_49,c_3494,c_3493]) ).
tcf(c_4865,plain,
( r2_lattices(sK1,iPr_def_18,sK3)
| ~ m1_subset_1(sK3,iPr_def_11) ),
inference(superposition,[status(thm)],[c_3493,c_3496]) ).
tcf(c_4866,plain,
r2_lattices(sK1,iPr_def_18,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_4865,c_3511]) ).
tcf(c_4875,plain,
( v1_funct_1(iPr_def_16)
| ~ l3_lattices(sK0) ),
inference(superposition,[status(thm)],[c_3491,c_1854]) ).
tcf(c_4878,plain,
v1_funct_1(iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_4875,c_3503]) ).
tcf(c_4883,plain,
( v1_funct_1(iPr_def_15)
| ~ l3_lattices(sK0) ),
inference(superposition,[status(thm)],[c_3490,c_1922]) ).
tcf(c_4886,plain,
v1_funct_1(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_4883,c_3503]) ).
tcf(c_4895,plain,
g3_lattices(iPr_def_10,iPr_def_15,iPr_def_16) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_3492,c_3509]) ).
tcf(c_5156,plain,
( v3_struct_0(sK1)
| m1_subset_1(iPr_def_18,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_3493,c_91]) ).
tcf(c_5163,plain,
( v3_struct_0(sK1)
| m1_subset_1(iPr_def_18,iPr_def_11)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_5156,c_3486]) ).
tcf(c_5164,plain,
m1_subset_1(iPr_def_18,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_5163,c_3508,c_3506,c_3511]) ).
tcf(c_5337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_10 )
| ~ v1_funct_1(iPr_def_16)
| ~ v1_funct_1(iPr_def_15)
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ( g3_lattices(X0,X1,X2) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4895,c_128]) ).
tcf(c_5358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_10 )
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ( g3_lattices(X0,X1,X2) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5337,c_4878,c_4886]) ).
tcf(c_5431,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_3489,c_5358]) ).
tcf(c_5839,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK0)
| v3_struct_0(X0)
| r2_lattices(sK0,X1,X2)
| ~ v16_lattices(sK0)
| ~ v15_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_lattices(X0,X1,X2)
| ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_3491,c_222]) ).
tcf(c_5918,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK0)
| v3_struct_0(X0)
| r2_lattices(sK0,X1,X2)
| ~ v16_lattices(sK0)
| ~ v15_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,iPr_def_10)
| ~ m1_subset_1(X1,iPr_def_10)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_lattices(X0,X1,X2)
| ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5839,c_3485,c_3490,c_4895]) ).
tcf(c_5919,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r2_lattices(sK0,X1,X2)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,iPr_def_10)
| ~ m1_subset_1(X1,iPr_def_10)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_lattices(X0,X1,X2)
| ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5918,c_3505,c_3500,c_3499,c_3503,c_3504]) ).
tcf(c_6161,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK1)
| r2_lattices(sK0,X0,X1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(X1,iPr_def_10)
| ~ m1_subset_1(X0,iPr_def_10)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ r2_lattices(sK1,X0,X1)
| ( g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),iPr_def_13) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_3488,c_5919]) ).
tcf(c_6183,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK1)
| r2_lattices(sK0,X0,X1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(X1,iPr_def_10)
| ~ m1_subset_1(X0,iPr_def_10)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ r2_lattices(sK1,X0,X1) ),
inference(ground_joinability,[status(thm)],[c_6161,c_3486,c_3487,c_3489]) ).
tcf(c_6184,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK1)
| r2_lattices(sK0,X0,X1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(X1,iPr_def_11)
| ~ m1_subset_1(X1,iPr_def_10)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ m1_subset_1(X0,iPr_def_10)
| ~ r2_lattices(sK1,X0,X1) ),
inference(light_normalisation,[status(thm)],[c_6183,c_3486]) ).
tcf(c_6185,plain,
! [X0: $i,X1: $i] :
( r2_lattices(sK0,X0,X1)
| ~ m1_subset_1(X1,iPr_def_11)
| ~ m1_subset_1(X1,iPr_def_10)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ m1_subset_1(X0,iPr_def_10)
| ~ r2_lattices(sK1,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6184,c_3508,c_3502,c_3501,c_3506,c_3507]) ).
tcf(c_6214,plain,
( r2_lattices(sK0,iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_11)
| ~ m1_subset_1(iPr_def_18,iPr_def_10)
| ~ m1_subset_1(sK3,iPr_def_11)
| ~ m1_subset_1(sK3,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4866,c_6185]) ).
tcf(c_6215,plain,
( r2_lattices(sK0,iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6214,c_5164,c_3511,c_3510]) ).
tcf(c_6229,plain,
( ( k7_lattices(sK0,sK3) = iPr_def_18 )
| ~ m1_subset_1(iPr_def_18,iPr_def_10)
| ~ m1_subset_1(sK3,iPr_def_10) ),
inference(superposition,[status(thm)],[c_6215,c_3497]) ).
tcf(c_6230,plain,
( ( iPr_def_18 = iPr_def_19 )
| ~ m1_subset_1(iPr_def_18,iPr_def_10)
| ~ m1_subset_1(sK3,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_6229,c_3494]) ).
tcf(c_6231,plain,
~ m1_subset_1(iPr_def_18,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_6230,c_3512,c_3510]) ).
tcf(c_10545,plain,
( v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK0) ),
inference(superposition,[status(thm)],[c_3485,c_1845]) ).
tcf(c_10549,plain,
( v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK0) ),
inference(light_normalisation,[status(thm)],[c_10545,c_3491]) ).
tcf(c_10550,plain,
v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_10549,c_3503]) ).
tcf(c_10594,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5431,c_10550]) ).
tcf(c_11100,plain,
( v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK0) ),
inference(superposition,[status(thm)],[c_3485,c_1913]) ).
tcf(c_11104,plain,
( v1_funct_2(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK0) ),
inference(light_normalisation,[status(thm)],[c_11100,c_3490]) ).
tcf(c_11105,plain,
v1_funct_2(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_11104,c_3503]) ).
tcf(c_11134,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(backward_subsumption_resolution,[status(thm)],[c_10594,c_11105]) ).
tcf(c_11423,plain,
( m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK0) ),
inference(superposition,[status(thm)],[c_3485,c_1974]) ).
tcf(c_11424,plain,
( m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK0) ),
inference(light_normalisation,[status(thm)],[c_11423,c_3491]) ).
tcf(c_11425,plain,
m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_11424,c_3503]) ).
tcf(c_11434,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ m1_relset_1(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(backward_subsumption_resolution,[status(thm)],[c_11134,c_11425]) ).
tcf(c_11784,plain,
( m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK0) ),
inference(superposition,[status(thm)],[c_3485,c_1992]) ).
tcf(c_11785,plain,
( m1_relset_1(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK0) ),
inference(light_normalisation,[status(thm)],[c_11784,c_3490]) ).
tcf(c_11786,plain,
m1_relset_1(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_11785,c_3503]) ).
tcf(c_11795,plain,
iPr_def_10 = iPr_def_11,
inference(backward_subsumption_resolution,[status(thm)],[c_11434,c_11786]) ).
tcf(c_11864,plain,
m1_subset_1(iPr_def_18,iPr_def_10),
inference(demodulation,[status(thm)],[c_5164,c_11795]) ).
tcf(c_11876,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11864,c_6231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT296+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 20:53:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.40
% 0.09/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.40
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 7.85/1.72 % SZS status Started for theBenchmark.p
% 7.85/1.72 % SZS status Theorem for theBenchmark.p
% 7.85/1.72
% 7.85/1.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.85/1.72
% 7.85/1.72 % ------ iProver source info
% 7.85/1.72
% 7.85/1.72 % git: date: 2026-07-19 20:42:38 +0200
% 7.85/1.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.85/1.72 % git: non_committed_changes: false
% 7.85/1.72
% 7.85/1.72 % ------ Parsing...
% 7.85/1.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.85/1.72
% 7.85/1.72 % ------ Preprocessing... sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 16 0s sf_e pe_s pe_e %
% 7.85/1.72
% 7.85/1.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.85/1.72
% 7.85/1.72 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.85/1.72 % ------ Proving...
% 7.85/1.72 % ------ Problem Properties
% 7.85/1.72
% 7.85/1.72 %
% 7.85/1.72 % clauses 133
% 7.85/1.72 % conjectures 10
% 7.85/1.72 % EPR 61
% 7.85/1.72 % Horn 124
% 7.85/1.72 % unary 83
% 7.85/1.72 % binary 28
% 7.85/1.72 % lits 253
% 7.85/1.72 % lits eq 26
% 7.85/1.72 % fd_pure 0
% 7.85/1.72 % fd_pseudo 0
% 7.85/1.72 % fd_cond 1
% 7.85/1.72 % fd_pseudo_cond 8
% 7.85/1.72 % AC symbols 0
% 7.85/1.72
% 7.85/1.72 % ------ Schedule dynamic 5 is on
% 7.85/1.72
% 7.85/1.72 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.85/1.72
% 7.85/1.72
% 7.85/1.72 % ------
% 7.85/1.72 % Current options:
% 7.85/1.72 % ------
% 7.85/1.72
% 7.85/1.72
% 7.85/1.72 %
% 7.85/1.72
% 7.85/1.72 % ------ Proving...
% 7.85/1.72 %
% 7.85/1.72
% 7.85/1.72 % SZS status Theorem for theBenchmark.p
% 7.85/1.72
% 7.85/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.85/1.73
% 7.85/1.73
%------------------------------------------------------------------------------