%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT338+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 : n017.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 01:59:23 PM UTC 2026
% Result : Theorem 1.47s 1.74s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 25
% Syntax : Number of formulae : 225 ( 56 unt; 10 def)
% Number of atoms : 900 ( 69 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 816 ( 316 ~; 347 |; 128 &)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 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 : 37 ( 35 usr; 10 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 206 ( 0 sgn 202 !; 4 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
=> ( l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_conlat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
=> ( l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k16_lattice3(k11_conlat_1(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(f16,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(f19,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(f20,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(f21,axiom,
! [X0,X1] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_lattice3) ).
fof(f22,axiom,
! [X0,X1] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k16_lattice3) ).
fof(f27,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(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(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(f71,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(f75,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(f96,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(f99,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(f101,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( r2_hidden(X1,k8_conlat_1(X0))
<=> ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_conlat_1) ).
fof(f114,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,[],[f71]) ).
fof(f125,plain,
? [X0] :
( l2_conlat_1(X0)
& ~ v3_conlat_1(X0)
& ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
& ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f126,plain,
? [X0] :
( l2_conlat_1(X0)
& ~ v3_conlat_1(X0)
& ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
& ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) ) ) ),
inference(flattening,[],[f125]) ).
fof(f127,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(f128,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f127]) ).
fof(f148,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,[],[f16]) ).
fof(f149,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,[],[f148]) ).
fof(f154,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,[],[f19]) ).
fof(f155,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,[],[f154]) ).
fof(f156,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,[],[f20]) ).
fof(f157,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,[],[f156]) ).
fof(f158,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f159,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0)) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f161,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0)) ),
inference(flattening,[],[f160]) ).
fof(f164,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_conlat_1(k8_conlat_1(X0),X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f165,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_conlat_1(k8_conlat_1(X0),X0) ),
inference(flattening,[],[f164]) ).
fof(f166,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(f167,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,[],[f166]) ).
fof(f172,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(f173,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ! [X1] :
( ~ m1_conlat_1(X1,X0)
| ~ v1_xboole_0(X1) ) ),
inference(flattening,[],[f172]) ).
fof(f206,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,[],[f114]) ).
fof(f207,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,[],[f206]) ).
fof(f214,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,[],[f75]) ).
fof(f215,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,[],[f214]) ).
fof(f235,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f236,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f235]) ).
fof(f238,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ! [X1] :
( r2_hidden(X1,k8_conlat_1(X0))
<=> ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) ) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f239,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ! [X1] :
( r2_hidden(X1,k8_conlat_1(X0))
<=> ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) ) ) ),
inference(flattening,[],[f238]) ).
fof(f253,plain,
( l2_conlat_1(sK3)
& ~ v3_conlat_1(sK3)
& m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(k11_conlat_1(sK3))))
& ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f126]) ).
fof(f290,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,[],[f96]) ).
fof(f293,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ! [X1] :
( ( ~ r2_hidden(X1,k8_conlat_1(X0))
| ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) ) )
& ( ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ v6_conlat_1(X1,X0)
| r2_hidden(X1,k8_conlat_1(X0)) ) ) ),
inference(nnf_transformation,[],[f239]) ).
fof(f294,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ! [X1] :
( ( ~ r2_hidden(X1,k8_conlat_1(X0))
| ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) ) )
& ( ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ v6_conlat_1(X1,X0)
| r2_hidden(X1,k8_conlat_1(X0)) ) ) ),
inference(flattening,[],[f293]) ).
fof(f295,plain,
l2_conlat_1(sK3),
inference(cnf_transformation,[],[f253]) ).
fof(f296,plain,
~ v3_conlat_1(sK3),
inference(cnf_transformation,[],[f253]) ).
fof(f298,plain,
( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
inference(cnf_transformation,[],[f253]) ).
fof(f299,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f128]) ).
fof(f326,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,[],[f149]) ).
fof(f331,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,[],[f155]) ).
fof(f332,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,[],[f155]) ).
fof(f333,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_1(k10_conlat_1(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f334,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| l3_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f335,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v3_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f336,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v3_struct_0(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f337,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f159]) ).
fof(f338,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f340,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_conlat_1(k8_conlat_1(X0),X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f341,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,[],[f167]) ).
fof(f342,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,[],[f167]) ).
fof(f343,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_1(k9_conlat_1(X0)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f349,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ m1_conlat_1(X1,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f420,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f433,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,[],[f215]) ).
fof(f496,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f290]) ).
fof(f500,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f503,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f504,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| v9_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f505,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ v7_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_49,negated_conjecture,
( v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_51,negated_conjecture,
~ v3_conlat_1(sK3),
inference(cnf_transformation,[],[f296]) ).
tcf(c_52,negated_conjecture,
l2_conlat_1(sK3),
inference(cnf_transformation,[],[f295]) ).
tcf(c_53,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,[],[f299]) ).
tcf(c_71,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,[],[f326]) ).
tcf(c_76,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v1_funct_1(k10_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_77,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,[],[f332]) ).
tcf(c_78,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,[],[f331]) ).
tcf(c_79,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ v3_struct_0(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_80,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_81,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| l3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_85,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m1_conlat_1(k8_conlat_1(X0),X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_86,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v1_funct_1(k9_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_87,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,[],[f342]) ).
tcf(c_88,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,[],[f341]) ).
tcf(c_94,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,[],[f349]) ).
tcf(c_165,plain,
! [X0: $i] :
( sP2(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f420]) ).
tcf(c_176,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,[],[f433]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f496]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i] :
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v7_conlat_1(X0,X1)
| ~ r2_hidden(X0,k8_conlat_1(X1)) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i] :
( v3_conlat_1(X1)
| v9_conlat_1(X0,X1)
| ~ l2_conlat_1(X1)
| ~ r2_hidden(X0,k8_conlat_1(X1)) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i] :
( v3_conlat_1(X1)
| l3_conlat_1(X0,X1)
| ~ l2_conlat_1(X1)
| ~ r2_hidden(X0,k8_conlat_1(X1)) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_312,plain,
( sP2(sK3)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_320,plain,
( v3_conlat_1(sK3)
| v1_funct_1(k9_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_321,plain,
( v3_conlat_1(sK3)
| l3_lattices(k11_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_323,plain,
( v3_conlat_1(sK3)
| v1_funct_1(k10_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_380,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_88]) ).
tcf(c_381,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_87]) ).
tcf(c_382,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_78]) ).
tcf(c_383,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_77]) ).
tcf(c_386,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_71]) ).
tcf(c_2917,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_conlat_1(X2)
| v3_conlat_1(X0)
| ~ v1_xboole_0(X1)
| ~ l2_conlat_1(X2)
| ~ l2_conlat_1(X0)
| ( X0 != X2 )
| ( k8_conlat_1(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_85,c_94]) ).
tcf(c_2918,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ v1_xboole_0(k8_conlat_1(X0)) ),
inference(unflattening,[status(thm)],[c_2917]) ).
tcf(c_2919,plain,
( v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| ~ v1_xboole_0(k8_conlat_1(sK3)) ),
inference(instantiation,[status(thm)],[c_2918]) ).
tcf(c_4529,plain,
! [X0: $i] :
( ~ l2_conlat_1(X0)
| ~ v1_xboole_0(k8_conlat_1(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_2918]) ).
tcf(c_4530,plain,
( ~ l2_conlat_1(sK3)
| ~ v1_xboole_0(k8_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4529]) ).
tcf(c_4531,plain,
~ v1_xboole_0(k8_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4530,c_52,c_51,c_2919]) ).
tcf(c_4669,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_51,c_88]) ).
tcf(c_4670,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_4669]) ).
tcf(c_4671,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_4670,c_52,c_51,c_380]) ).
tcf(c_4676,plain,
! [X0: $i] :
( 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)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_87]) ).
tcf(c_4677,plain,
( 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(unflattening,[status(thm)],[c_4676]) ).
tcf(c_4678,plain,
v1_funct_2(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_4677,c_52,c_51,c_381]) ).
tcf(c_4683,plain,
! [X0: $i] :
( v1_funct_1(k9_conlat_1(X0))
| ~ l2_conlat_1(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_86]) ).
tcf(c_4684,plain,
( v1_funct_1(k9_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_4683]) ).
tcf(c_4685,plain,
v1_funct_1(k9_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4684,c_52,c_51,c_320]) ).
tcf(c_4697,plain,
! [X0: $i] :
( l3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_81]) ).
tcf(c_4698,plain,
( l3_lattices(k11_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_4697]) ).
tcf(c_4699,plain,
l3_lattices(k11_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4698,c_52,c_51,c_321]) ).
tcf(c_4704,plain,
! [X0: $i] :
( v3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_80]) ).
tcf(c_4705,plain,
( v3_lattices(k11_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_4704]) ).
tcf(c_4711,plain,
! [X0: $i] :
( ~ l2_conlat_1(X0)
| ~ v3_struct_0(k11_conlat_1(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_79]) ).
tcf(c_4712,plain,
( ~ l2_conlat_1(sK3)
| ~ v3_struct_0(k11_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4711]) ).
tcf(c_4718,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_51,c_78]) ).
tcf(c_4719,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_4718]) ).
tcf(c_4720,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_4719,c_52,c_51,c_382]) ).
tcf(c_4725,plain,
! [X0: $i] :
( 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)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_77]) ).
tcf(c_4726,plain,
( 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(unflattening,[status(thm)],[c_4725]) ).
tcf(c_4727,plain,
v1_funct_2(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_4726,c_52,c_51,c_383]) ).
tcf(c_4732,plain,
! [X0: $i] :
( v1_funct_1(k10_conlat_1(X0))
| ~ l2_conlat_1(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_76]) ).
tcf(c_4733,plain,
( v1_funct_1(k10_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(unflattening,[status(thm)],[c_4732]) ).
tcf(c_4734,plain,
v1_funct_1(k10_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4733,c_52,c_51,c_323]) ).
tcf(c_4739,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_51,c_71]) ).
tcf(c_4740,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_4739]) ).
tcf(c_4741,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_4740,c_52,c_51,c_386]) ).
tcf(c_4746,plain,
! [X0: $i,X1: $i] :
( l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_252]) ).
tcf(c_4747,plain,
! [X0: $i] :
( l3_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3)
| ~ r2_hidden(X0,k8_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4746]) ).
tcf(c_4758,plain,
! [X0: $i,X1: $i] :
( v9_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_251]) ).
tcf(c_4759,plain,
! [X0: $i] :
( v9_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3)
| ~ r2_hidden(X0,k8_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4758]) ).
tcf(c_4770,plain,
! [X0: $i,X1: $i] :
( ~ l2_conlat_1(X0)
| ~ v7_conlat_1(X1,X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_250]) ).
tcf(c_4771,plain,
! [X0: $i] :
( ~ l2_conlat_1(sK3)
| ~ v7_conlat_1(X0,sK3)
| ~ r2_hidden(X0,k8_conlat_1(sK3)) ),
inference(unflattening,[status(thm)],[c_4770]) ).
tcf(c_14767,plain,
! [X0: $i] :
( l3_conlat_1(X0,sK3)
| ~ r2_hidden(X0,k8_conlat_1(sK3)) ),
inference(prop_impl_just,[status(thm)],[c_52,c_4747]) ).
tcf(c_14769,plain,
! [X0: $i] :
( v9_conlat_1(X0,sK3)
| ~ r2_hidden(X0,k8_conlat_1(sK3)) ),
inference(prop_impl_just,[status(thm)],[c_52,c_4759]) ).
tcf(c_14771,plain,
! [X0: $i] :
( ~ v7_conlat_1(X0,sK3)
| ~ r2_hidden(X0,k8_conlat_1(sK3)) ),
inference(prop_impl_just,[status(thm)],[c_52,c_4771]) ).
tcf(c_19995,definition,
iPr_def_16 = k8_conlat_1(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_19996,definition,
iPr_def_17 = k10_conlat_1(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_19997,definition,
iPr_def_18 = k9_conlat_1(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_19998,definition,
iPr_def_19 = g3_lattices(iPr_def_16,iPr_def_17,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_19999,definition,
iPr_def_20 = k11_conlat_1(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_20000,definition,
iPr_def_21 = k2_zfmisc_1(iPr_def_16,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_20009,definition,
iPr_def_30 = u1_struct_0(iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_20011,definition,
iPr_def_32 = k16_lattice3(iPr_def_20,sK4),
introduced(definition,[new_symbols(definition,[iPr_def_32])],[]) ).
tcf(c_20012,definition,
iPr_def_33 = k15_lattice3(iPr_def_20,sK4),
introduced(definition,[new_symbols(definition,[iPr_def_33])],[]) ).
tcf(c_20023,plain,
iPr_def_19 = iPr_def_20,
inference(demodulation,[status(thm)],[c_4741,c_19999,c_19997,c_19996,c_19998]) ).
tcf(c_20024,plain,
v1_funct_1(iPr_def_17),
inference(demodulation,[status(thm)],[c_4734]) ).
tcf(c_20025,plain,
v1_funct_2(iPr_def_17,iPr_def_21,iPr_def_16),
inference(demodulation,[status(thm)],[c_4727,c_20000]) ).
tcf(c_20026,plain,
m2_relset_1(iPr_def_17,iPr_def_21,iPr_def_16),
inference(demodulation,[status(thm)],[c_4720]) ).
tcf(c_20029,plain,
l3_lattices(iPr_def_20),
inference(demodulation,[status(thm)],[c_4699]) ).
tcf(c_20030,plain,
v1_funct_1(iPr_def_18),
inference(demodulation,[status(thm)],[c_4685]) ).
tcf(c_20031,plain,
v1_funct_2(iPr_def_18,iPr_def_21,iPr_def_16),
inference(demodulation,[status(thm)],[c_4678]) ).
tcf(c_20032,plain,
m2_relset_1(iPr_def_18,iPr_def_21,iPr_def_16),
inference(demodulation,[status(thm)],[c_4671]) ).
tcf(c_20052,plain,
~ v1_xboole_0(iPr_def_16),
inference(demodulation,[status(thm)],[c_4531]) ).
tcf(c_20055,negated_conjecture,
( v7_conlat_1(iPr_def_33,sK3)
| v7_conlat_1(iPr_def_32,sK3)
| ~ l3_conlat_1(iPr_def_33,sK3)
| ~ l3_conlat_1(iPr_def_32,sK3)
| ~ v9_conlat_1(iPr_def_33,sK3)
| ~ v9_conlat_1(iPr_def_32,sK3) ),
inference(demodulation,[status(thm)],[c_49,c_20012,c_20011]) ).
tcf(c_23048,plain,
l3_lattices(iPr_def_19),
inference(light_normalisation,[status(thm)],[c_20029,c_20023]) ).
tcf(c_23618,plain,
u1_struct_0(iPr_def_19) = iPr_def_30,
inference(light_normalisation,[status(thm)],[c_20009,c_20023]) ).
tcf(c_23795,plain,
k16_lattice3(iPr_def_19,sK4) = iPr_def_32,
inference(light_normalisation,[status(thm)],[c_20011,c_20023]) ).
tcf(c_23796,plain,
k15_lattice3(iPr_def_19,sK4) = iPr_def_33,
inference(light_normalisation,[status(thm)],[c_20012,c_20023]) ).
tcf(c_24636,plain,
! [X0: $i] :
( l3_conlat_1(X0,sK3)
| ~ r2_hidden(X0,iPr_def_16) ),
inference(light_normalisation,[status(thm)],[c_14767,c_19995]) ).
tcf(c_24646,plain,
! [X0: $i] :
( v9_conlat_1(X0,sK3)
| ~ r2_hidden(X0,iPr_def_16) ),
inference(light_normalisation,[status(thm)],[c_14769,c_19995]) ).
tcf(c_25051,plain,
m1_relset_1(iPr_def_17,iPr_def_21,iPr_def_16),
inference(superposition,[status(thm)],[c_20026,c_242]) ).
tcf(c_25052,plain,
m1_relset_1(iPr_def_18,iPr_def_21,iPr_def_16),
inference(superposition,[status(thm)],[c_20032,c_242]) ).
tcf(c_25207,plain,
! [X0: $i] :
( ~ r2_hidden(X0,iPr_def_16)
| ~ v7_conlat_1(X0,sK3) ),
inference(light_normalisation,[status(thm)],[c_14771,c_19995]) ).
tcf(c_25227,plain,
( v3_struct_0(iPr_def_19)
| m1_subset_1(iPr_def_33,u1_struct_0(iPr_def_19))
| ~ l3_lattices(iPr_def_19) ),
inference(superposition,[status(thm)],[c_23796,c_82]) ).
tcf(c_25230,plain,
( v3_struct_0(iPr_def_19)
| m1_subset_1(iPr_def_33,iPr_def_30)
| ~ l3_lattices(iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_25227,c_23618]) ).
tcf(c_25245,plain,
( v3_struct_0(iPr_def_19)
| m1_subset_1(iPr_def_32,u1_struct_0(iPr_def_19))
| ~ l3_lattices(iPr_def_19) ),
inference(superposition,[status(thm)],[c_23795,c_83]) ).
tcf(c_25248,plain,
( v3_struct_0(iPr_def_19)
| m1_subset_1(iPr_def_32,iPr_def_30)
| ~ l3_lattices(iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_25245,c_23618]) ).
tcf(c_26841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_16 )
| ~ v1_funct_1(iPr_def_18)
| ~ v1_funct_1(iPr_def_17)
| ~ m1_relset_1(iPr_def_18,k2_zfmisc_1(iPr_def_16,iPr_def_16),iPr_def_16)
| ~ m1_relset_1(iPr_def_17,k2_zfmisc_1(iPr_def_16,iPr_def_16),iPr_def_16)
| ~ v1_funct_2(iPr_def_18,k2_zfmisc_1(iPr_def_16,iPr_def_16),iPr_def_16)
| ~ v1_funct_2(iPr_def_17,k2_zfmisc_1(iPr_def_16,iPr_def_16),iPr_def_16)
| ( g3_lattices(X0,X1,X2) != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_19998,c_176]) ).
tcf(c_26862,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_16 )
| ~ v1_funct_1(iPr_def_18)
| ~ v1_funct_1(iPr_def_17)
| ~ m1_relset_1(iPr_def_18,iPr_def_21,iPr_def_16)
| ~ m1_relset_1(iPr_def_17,iPr_def_21,iPr_def_16)
| ~ v1_funct_2(iPr_def_18,iPr_def_21,iPr_def_16)
| ~ v1_funct_2(iPr_def_17,iPr_def_21,iPr_def_16)
| ( g3_lattices(X0,X1,X2) != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_26841,c_20000]) ).
tcf(c_26863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_16 )
| ( g3_lattices(X0,X1,X2) != iPr_def_19 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26862,c_20030,c_20024,c_25052,c_25051,c_20031,c_20025]) ).
fof(f251,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(f252,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP2(X0) ),
inference(definition_folding,[],[f207,f251]) ).
fof(f267,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,[],[f251]) ).
fof(f418,plain,
! [X0] :
( ~ sP2(X0)
| v3_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f267]) ).
fof(f419,plain,
! [X0] :
( ~ sP2(X0)
| ~ v3_struct_0(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_156,plain,
! [X0: $i] :
( ~ sP2(X0)
| ~ v3_struct_0(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f419]) ).
tcf(c_157,plain,
! [X0: $i] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f418]) ).
tcf(c_282,plain,
( v3_lattices(k11_conlat_1(sK3))
| ~ sP2(sK3) ),
inference(instantiation,[status(thm)],[c_157]) ).
tcf(c_313,plain,
( ~ sP2(sK3)
| ~ v3_struct_0(k11_conlat_1(sK3)) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_4706,plain,
v3_lattices(k11_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4705,c_52,c_51,c_282,c_312]) ).
tcf(c_4713,plain,
~ v3_struct_0(k11_conlat_1(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4712,c_52,c_51,c_312,c_313]) ).
tcf(c_20027,plain,
~ v3_struct_0(iPr_def_20),
inference(demodulation,[status(thm)],[c_4713]) ).
tcf(c_20028,plain,
v3_lattices(iPr_def_20),
inference(demodulation,[status(thm)],[c_4706]) ).
tcf(c_23047,plain,
v3_lattices(iPr_def_19),
inference(light_normalisation,[status(thm)],[c_20028,c_20023]) ).
tcf(c_23049,plain,
~ v3_struct_0(iPr_def_19),
inference(light_normalisation,[status(thm)],[c_20027,c_20023]) ).
tcf(c_25231,plain,
m1_subset_1(iPr_def_33,iPr_def_30),
inference(forward_subsumption_resolution,[status(thm)],[c_25230,c_23049,c_23048]) ).
tcf(c_25249,plain,
m1_subset_1(iPr_def_32,iPr_def_30),
inference(forward_subsumption_resolution,[status(thm)],[c_25248,c_23049,c_23048]) ).
tcf(c_25272,plain,
( v1_xboole_0(iPr_def_30)
| r2_hidden(iPr_def_33,iPr_def_30) ),
inference(superposition,[status(thm)],[c_25231,c_245]) ).
tcf(c_25275,plain,
( v1_xboole_0(iPr_def_30)
| r2_hidden(iPr_def_32,iPr_def_30) ),
inference(superposition,[status(thm)],[c_25249,c_245]) ).
tcf(c_26129,plain,
( ( g3_lattices(u1_struct_0(iPr_def_19),u2_lattices(iPr_def_19),u1_lattices(iPr_def_19)) = iPr_def_19 )
| ~ l3_lattices(iPr_def_19) ),
inference(superposition,[status(thm)],[c_23047,c_53]) ).
tcf(c_26130,plain,
( ( g3_lattices(iPr_def_30,u2_lattices(iPr_def_19),u1_lattices(iPr_def_19)) = iPr_def_19 )
| ~ l3_lattices(iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_26129,c_23618]) ).
tcf(c_26131,plain,
g3_lattices(iPr_def_30,u2_lattices(iPr_def_19),u1_lattices(iPr_def_19)) = iPr_def_19,
inference(forward_subsumption_resolution,[status(thm)],[c_26130,c_23048]) ).
tcf(c_27009,plain,
iPr_def_16 = iPr_def_30,
inference(superposition,[status(thm)],[c_26131,c_26863]) ).
tcf(c_27012,plain,
( v1_xboole_0(iPr_def_16)
| r2_hidden(iPr_def_32,iPr_def_16) ),
inference(demodulation,[status(thm)],[c_25275,c_27009]) ).
tcf(c_27013,plain,
( v1_xboole_0(iPr_def_16)
| r2_hidden(iPr_def_33,iPr_def_16) ),
inference(demodulation,[status(thm)],[c_25272,c_27009]) ).
tcf(c_27032,plain,
r2_hidden(iPr_def_33,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_27013,c_20052]) ).
tcf(c_27033,plain,
r2_hidden(iPr_def_32,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_27012,c_20052]) ).
tcf(c_27044,plain,
v9_conlat_1(iPr_def_33,sK3),
inference(superposition,[status(thm)],[c_27032,c_24646]) ).
tcf(c_27045,plain,
l3_conlat_1(iPr_def_33,sK3),
inference(superposition,[status(thm)],[c_27032,c_24636]) ).
tcf(c_27046,plain,
( v7_conlat_1(iPr_def_33,sK3)
| v7_conlat_1(iPr_def_32,sK3)
| ~ l3_conlat_1(iPr_def_33,sK3)
| ~ l3_conlat_1(iPr_def_32,sK3)
| ~ v9_conlat_1(iPr_def_32,sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_20055,c_27044]) ).
tcf(c_27047,plain,
( v7_conlat_1(iPr_def_33,sK3)
| v7_conlat_1(iPr_def_32,sK3)
| ~ l3_conlat_1(iPr_def_32,sK3)
| ~ v9_conlat_1(iPr_def_32,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27046,c_27045]) ).
tcf(c_27076,plain,
v9_conlat_1(iPr_def_32,sK3),
inference(superposition,[status(thm)],[c_27033,c_24646]) ).
tcf(c_27077,plain,
l3_conlat_1(iPr_def_32,sK3),
inference(superposition,[status(thm)],[c_27033,c_24636]) ).
tcf(c_27078,plain,
( v7_conlat_1(iPr_def_33,sK3)
| v7_conlat_1(iPr_def_32,sK3)
| ~ l3_conlat_1(iPr_def_32,sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_27047,c_27076]) ).
tcf(c_27079,plain,
( v7_conlat_1(iPr_def_33,sK3)
| v7_conlat_1(iPr_def_32,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27078,c_27077]) ).
tcf(c_27102,plain,
( v7_conlat_1(iPr_def_32,sK3)
| ~ r2_hidden(iPr_def_33,iPr_def_16) ),
inference(superposition,[status(thm)],[c_27079,c_25207]) ).
tcf(c_27103,plain,
v7_conlat_1(iPr_def_32,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_27102,c_27032]) ).
tcf(c_27162,plain,
~ r2_hidden(iPr_def_32,iPr_def_16),
inference(superposition,[status(thm)],[c_27103,c_25207]) ).
tcf(c_27163,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_27162,c_27033]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT338+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 21:06:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.47/1.74 % SZS status Started for theBenchmark.p
% 1.47/1.74 % SZS status Theorem for theBenchmark.p
% 1.47/1.74
% 1.47/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.47/1.74
% 1.47/1.74 % ------ iProver source info
% 1.47/1.74
% 1.47/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 1.47/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.47/1.74 % git: non_committed_changes: false
% 1.47/1.74
% 1.47/1.74 % ------ Parsing...
% 1.47/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.47/1.74
% 1.47/1.74 % ------ Preprocessing... sup_sim: 0 sf_s rm: 13 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 2 sf_s rm: 20 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 20 0s sf_e pe_s pe_e %
% 1.47/1.74
% 1.47/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.47/1.74
% 1.47/1.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.47/1.74 % ------ Proving...
% 1.47/1.74 % ------ Problem Properties
% 1.47/1.74
% 1.47/1.74 %
% 1.47/1.74 % clauses 180
% 1.47/1.74 % conjectures 2
% 1.47/1.74 % EPR 62
% 1.47/1.74 % Horn 163
% 1.47/1.74 % unary 102
% 1.47/1.74 % binary 34
% 1.47/1.74 % lits 350
% 1.47/1.74 % lits eq 60
% 1.47/1.74 % fd_pure 0
% 1.47/1.74 % fd_pseudo 0
% 1.47/1.74 % fd_cond 4
% 1.47/1.74 % fd_pseudo_cond 12
% 1.47/1.74 % AC symbols 0
% 1.47/1.74
% 1.47/1.74 % ------ Schedule dynamic 5 is on
% 1.47/1.74
% 1.47/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.47/1.74
% 1.47/1.74
% 1.47/1.74 % ------
% 1.47/1.74 % Current options:
% 1.47/1.74 % ------
% 1.47/1.74
% 1.47/1.74
% 1.47/1.74 %
% 1.47/1.74
% 1.47/1.74 % ------ Proving...
% 1.47/1.74 %
% 1.47/1.74
% 1.47/1.74 % SZS status Theorem for theBenchmark.p
% 1.47/1.74
% 1.47/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.47/1.75
% 1.47/1.75
%------------------------------------------------------------------------------