%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT323+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 : Tue Sep 29 11:46:55 AM UTC 2026
% Result : Theorem 2.99s 1.32s
% Output : Refutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 27
% Syntax : Number of formulae : 225 ( 32 unt; 9 def)
% Number of atoms : 1049 ( 36 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1323 ( 499 ~; 540 |; 223 &)
% ( 19 <=>; 40 =>; 0 <=; 2 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 185 ( 0 sgn 173 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f16,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k5_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f17,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f19,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f20,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f24,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(f31,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f35,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f36,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f53,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f60,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v12_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(f64,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f66,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l70_filter_2) ).
fof(f84,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f85,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f90,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_filter_2) ).
fof(f92,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f93,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v1_filter_0(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_filter_0) ).
fof(f99,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) ) ),
inference(pure_predicate_removal,[],[f60]) ).
fof(f102,plain,
! [X0] :
( l3_lattices(X0)
=> l3_lattices(k1_lattice2(X0)) ),
inference(pure_predicate_removal,[],[f20]) ).
fof(f104,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) ) ),
inference(pure_predicate_removal,[],[f99]) ).
fof(f106,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ~ v3_struct_0(k1_lattice2(X0)) ),
inference(pure_predicate_removal,[],[f53]) ).
fof(f109,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
inference(pure_predicate_removal,[],[f64]) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(X2,X1)
<~> ~ r2_hidden(k7_lattices(X0,X2),X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f113,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(X2,X1)
<~> ~ r2_hidden(k7_lattices(X0,X2),X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f116]) ).
fof(f120,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f104]) ).
fof(f121,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f120]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f129,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f128]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f135,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f134]) ).
fof(f138,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f92]) ).
fof(f139,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f138]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f144]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f148]) ).
fof(f151,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f109]) ).
fof(f152,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f154,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f156,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f157,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f156]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f158]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f174]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f180]) ).
fof(f187,definition,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f188,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f121,f187]) ).
fof(f189,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1) )
& ( ~ r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f190,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1) )
& ( ~ r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f189]) ).
fof(f191,plain,
( ( r2_hidden(k7_lattices(sK1,sK3),sK2)
| ~ r2_hidden(sK3,sK2) )
& ( ~ r2_hidden(k7_lattices(sK1,sK3),sK2)
| r2_hidden(sK3,sK2) )
& m1_subset_1(sK3,u1_struct_0(sK1))
& r2_filter_2(sK1,sK2)
& m2_filter_2(sK2,sK1)
& ~ v3_struct_0(sK1)
& v10_lattices(sK1)
& v17_lattices(sK1)
& l3_lattices(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f190]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1) )
& ( ~ r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f194,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f187]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f127]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f145]) ).
fof(f214,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f191]) ).
fof(f215,plain,
v17_lattices(sK1),
inference(cnf_transformation,[],[f191]) ).
fof(f216,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f191]) ).
fof(f217,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f191]) ).
fof(f218,plain,
m2_filter_2(sK2,sK1),
inference(cnf_transformation,[],[f191]) ).
fof(f219,plain,
r2_filter_2(sK1,sK2),
inference(cnf_transformation,[],[f191]) ).
fof(f220,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f191]) ).
fof(f221,plain,
( ~ r2_hidden(k7_lattices(sK1,sK3),sK2)
| r2_hidden(sK3,sK2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f222,plain,
( r2_hidden(k7_lattices(sK1,sK3),sK2)
| ~ r2_hidden(sK3,sK2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f224,plain,
! [X2,X0,X1] :
( r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f225,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k7_lattices(X0,X1) = k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f242,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f256,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f266,plain,
! [X0,X1] :
( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f268,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f270,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f272,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f280,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f283,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f286,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f294,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f295,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f296,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f297,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f371,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k7_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f377,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f387,definition,
( spl22_1
<=> r2_hidden(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f388,plain,
( ~ r2_hidden(sK3,sK2)
| spl22_1 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f389,plain,
( r2_hidden(sK3,sK2)
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f391,definition,
( spl22_2
<=> r2_hidden(k7_lattices(sK1,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f392,plain,
( r2_hidden(k7_lattices(sK1,sK3),sK2)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f393,plain,
( ~ r2_hidden(k7_lattices(sK1,sK3),sK2)
| spl22_2 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f394,plain,
( spl22_1
| ~ spl22_2 ),
inference(avatar_split_clause,[],[f221,f391,f387]) ).
fof(f395,plain,
( ~ spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f222,f391,f387]) ).
fof(f689,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v17_lattices(sK1)
| sP0(sK1) ),
inference(resolution,[],[f256,f214]) ).
fof(f699,plain,
( ~ v10_lattices(sK1)
| ~ v17_lattices(sK1)
| sP0(sK1) ),
inference(forward_subsumption_resolution,[],[f689,f217]) ).
fof(f701,plain,
( ~ v17_lattices(sK1)
| sP0(sK1) ),
inference(forward_subsumption_resolution,[],[f699,f216]) ).
fof(f703,plain,
sP0(sK1),
inference(forward_subsumption_resolution,[],[f701,f215]) ).
fof(f793,plain,
( m2_lattice4(sK2,sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f270,f218]) ).
fof(f796,plain,
( m2_lattice4(sK2,sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f793,f217]) ).
fof(f797,plain,
( m2_lattice4(sK2,sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f796,f216]) ).
fof(f798,plain,
m2_lattice4(sK2,sK1),
inference(forward_subsumption_resolution,[],[f797,f214]) ).
fof(f823,plain,
! [X2,X0,X1] :
( ~ m1_filter_0(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X2,X0)
| m1_subset_1(X2,u1_struct_0(X1)) ),
inference(resolution,[],[f283,f276]) ).
fof(f862,plain,
( sK3 = k5_filter_2(sK1,sK3)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f297,f220]) ).
fof(f867,plain,
( sK3 = k5_filter_2(sK1,sK3)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f862,f217]) ).
fof(f869,plain,
( sK3 = k5_filter_2(sK1,sK3)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f867,f216]) ).
fof(f871,plain,
sK3 = k5_filter_2(sK1,sK3),
inference(forward_subsumption_resolution,[],[f869,f214]) ).
fof(f880,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| k7_filter_2(sK1,sK2) = k15_filter_2(sK1,sK2) ),
inference(resolution,[],[f268,f218]) ).
fof(f883,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| k7_filter_2(sK1,sK2) = k15_filter_2(sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f880,f217]) ).
fof(f884,plain,
( ~ l3_lattices(sK1)
| k7_filter_2(sK1,sK2) = k15_filter_2(sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f883,f216]) ).
fof(f885,plain,
k7_filter_2(sK1,sK2) = k15_filter_2(sK1,sK2),
inference(forward_subsumption_resolution,[],[f884,f214]) ).
fof(f892,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f371,f377]) ).
fof(f900,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k7_filter_2(X0,X1) = X1 ),
inference(duplicate_literal_removal,[],[f892]) ).
fof(f936,plain,
( m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(superposition,[],[f296,f871]) ).
fof(f937,plain,
( m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1)))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f936,f217]) ).
fof(f938,plain,
( m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1)))
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f937,f216]) ).
fof(f939,plain,
( m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1)))
| ~ m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f938,f214]) ).
fof(f940,plain,
m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1))),
inference(forward_subsumption_resolution,[],[f939,f220]) ).
fof(f961,definition,
( spl22_31
<=> l3_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_31])],[avatar_definition]) ).
fof(f962,plain,
( l3_lattices(k1_lattice2(sK1))
| ~ spl22_31 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f963,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| spl22_31 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f965,definition,
( spl22_32
<=> v10_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_32])],[avatar_definition]) ).
fof(f966,plain,
( v10_lattices(k1_lattice2(sK1))
| ~ spl22_32 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f967,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| spl22_32 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f969,definition,
( spl22_33
<=> v3_struct_0(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_33])],[avatar_definition]) ).
fof(f970,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| spl22_33 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f971,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ spl22_33 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f989,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl22_32 ),
inference(resolution,[],[f967,f286]) ).
fof(f993,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl22_32 ),
inference(forward_subsumption_resolution,[],[f989,f217]) ).
fof(f994,plain,
( ~ l3_lattices(sK1)
| spl22_32 ),
inference(forward_subsumption_resolution,[],[f993,f216]) ).
fof(f995,plain,
( $false
| spl22_32 ),
inference(forward_subsumption_resolution,[],[f994,f214]) ).
fof(f996,plain,
spl22_32,
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f999,plain,
( k7_lattices(sK1,sK3) = k7_lattices(k1_lattice2(sK1),k5_filter_2(sK1,sK3))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v17_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f225,f220]) ).
fof(f1003,plain,
( k7_lattices(sK1,sK3) = k7_lattices(k1_lattice2(sK1),k5_filter_2(sK1,sK3))
| ~ v10_lattices(sK1)
| ~ v17_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f999,f217]) ).
fof(f1005,plain,
( k7_lattices(sK1,sK3) = k7_lattices(k1_lattice2(sK1),k5_filter_2(sK1,sK3))
| ~ v17_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1003,f216]) ).
fof(f1007,plain,
( k7_lattices(sK1,sK3) = k7_lattices(k1_lattice2(sK1),k5_filter_2(sK1,sK3))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1005,f215]) ).
fof(f1009,plain,
k7_lattices(sK1,sK3) = k7_lattices(k1_lattice2(sK1),k5_filter_2(sK1,sK3)),
inference(forward_subsumption_resolution,[],[f1007,f214]) ).
fof(f1010,plain,
k7_lattices(sK1,sK3) = k7_lattices(k1_lattice2(sK1),sK3),
inference(forward_demodulation,[],[f1009,f871]) ).
fof(f1011,plain,
( ~ l3_lattices(sK1)
| spl22_31 ),
inference(resolution,[],[f963,f295]) ).
fof(f1012,plain,
( $false
| spl22_31 ),
inference(forward_subsumption_resolution,[],[f1011,f214]) ).
fof(f1013,plain,
spl22_31,
inference(avatar_contradiction_clause,[],[f1012]) ).
fof(f1056,plain,
( v1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ r2_filter_2(sK1,sK2)
| ~ m2_filter_2(sK2,sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f266,f885]) ).
fof(f1057,plain,
( m1_filter_2(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m2_filter_2(sK2,sK1) ),
inference(superposition,[],[f272,f885]) ).
fof(f1058,plain,
( m1_filter_2(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m2_filter_2(sK2,sK1) ),
inference(forward_subsumption_resolution,[],[f1057,f217]) ).
fof(f1059,plain,
( v1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ m2_filter_2(sK2,sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1056,f219]) ).
fof(f1060,plain,
( m1_filter_2(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| ~ m2_filter_2(sK2,sK1) ),
inference(forward_subsumption_resolution,[],[f1058,f216]) ).
fof(f1061,plain,
( v1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1059,f218]) ).
fof(f1062,plain,
( m1_filter_2(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ m2_filter_2(sK2,sK1) ),
inference(forward_subsumption_resolution,[],[f1060,f214]) ).
fof(f1063,plain,
( v1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1061,f217]) ).
fof(f1064,plain,
m1_filter_2(k7_filter_2(sK1,sK2),k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[],[f1062,f218]) ).
fof(f1065,plain,
( v1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1063,f216]) ).
fof(f1066,plain,
v1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[],[f1065,f214]) ).
fof(f1067,plain,
! [X0] :
( r2_hidden(k7_lattices(sK1,sK3),X0)
| r2_hidden(sK3,X0)
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1)))
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ v17_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(superposition,[],[f224,f1010]) ).
fof(f1068,plain,
! [X0] :
( ~ r2_hidden(k7_lattices(sK1,sK3),X0)
| ~ r2_hidden(sK3,X0)
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1)))
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ v17_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(superposition,[],[f223,f1010]) ).
fof(f1070,plain,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| ~ spl22_33 ),
inference(resolution,[],[f971,f294]) ).
fof(f1074,plain,
( ~ l3_lattices(sK1)
| ~ spl22_33 ),
inference(forward_subsumption_resolution,[],[f1070,f217]) ).
fof(f1075,plain,
( $false
| ~ spl22_33 ),
inference(forward_subsumption_resolution,[],[f1074,f214]) ).
fof(f1076,plain,
~ spl22_33,
inference(avatar_contradiction_clause,[],[f1075]) ).
fof(f1091,plain,
! [X0] :
( ~ r2_hidden(k7_lattices(sK1,sK3),X0)
| ~ r2_hidden(sK3,X0)
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ v17_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1068,f823]) ).
fof(f1092,plain,
! [X0] :
( r2_hidden(k7_lattices(sK1,sK3),X0)
| r2_hidden(sK3,X0)
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ v17_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1067,f940]) ).
fof(f1105,definition,
( spl22_38
<=> v17_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_38])],[avatar_definition]) ).
fof(f1107,plain,
( ~ v17_lattices(k1_lattice2(sK1))
| spl22_38 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1131,plain,
( ! [X0] :
( ~ r2_hidden(k7_lattices(sK1,sK3),X0)
| ~ r2_hidden(sK3,X0)
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ v17_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| spl22_33 ),
inference(forward_subsumption_resolution,[],[f1091,f970]) ).
fof(f1132,plain,
( ! [X0] :
( r2_hidden(k7_lattices(sK1,sK3),X0)
| r2_hidden(sK3,X0)
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ v17_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| spl22_33 ),
inference(forward_subsumption_resolution,[],[f1092,f970]) ).
fof(f1140,plain,
( ! [X0] :
( ~ r2_hidden(k7_lattices(sK1,sK3),X0)
| ~ r2_hidden(sK3,X0)
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ v17_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl22_32
| spl22_33 ),
inference(forward_subsumption_resolution,[],[f1131,f966]) ).
fof(f1141,plain,
( ! [X0] :
( r2_hidden(k7_lattices(sK1,sK3),X0)
| r2_hidden(sK3,X0)
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ v17_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl22_32
| spl22_33 ),
inference(forward_subsumption_resolution,[],[f1132,f966]) ).
fof(f1143,plain,
( ! [X0] :
( ~ r2_hidden(k7_lattices(sK1,sK3),X0)
| ~ r2_hidden(sK3,X0)
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ v17_lattices(k1_lattice2(sK1)) )
| ~ spl22_31
| ~ spl22_32
| spl22_33 ),
inference(forward_subsumption_resolution,[],[f1140,f962]) ).
fof(f1144,plain,
( ! [X0] :
( r2_hidden(k7_lattices(sK1,sK3),X0)
| r2_hidden(sK3,X0)
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ v17_lattices(k1_lattice2(sK1)) )
| ~ spl22_31
| ~ spl22_32
| spl22_33 ),
inference(forward_subsumption_resolution,[],[f1141,f962]) ).
fof(f1147,definition,
( spl22_44
<=> ! [X0] :
( ~ r2_hidden(k7_lattices(sK1,sK3),X0)
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| ~ r2_hidden(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_44])],[avatar_definition]) ).
fof(f1148,plain,
( ! [X0] :
( ~ r2_hidden(k7_lattices(sK1,sK3),X0)
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| ~ r2_hidden(sK3,X0) )
| ~ spl22_44 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1149,plain,
( ~ spl22_38
| spl22_44
| ~ spl22_31
| ~ spl22_32
| spl22_33 ),
inference(avatar_split_clause,[],[f1143,f969,f965,f961,f1147,f1105]) ).
fof(f1151,definition,
( spl22_45
<=> ! [X0] :
( r2_hidden(k7_lattices(sK1,sK3),X0)
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| r2_hidden(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_45])],[avatar_definition]) ).
fof(f1152,plain,
( ! [X0] :
( r2_hidden(k7_lattices(sK1,sK3),X0)
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ v1_filter_0(X0,k1_lattice2(sK1))
| r2_hidden(sK3,X0) )
| ~ spl22_45 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f1153,plain,
( ~ spl22_38
| spl22_45
| ~ spl22_31
| ~ spl22_32
| spl22_33 ),
inference(avatar_split_clause,[],[f1144,f969,f965,f961,f1151,f1105]) ).
fof(f1173,plain,
( ~ sP0(sK1)
| spl22_38 ),
inference(resolution,[],[f1107,f242]) ).
fof(f1174,plain,
( $false
| spl22_38 ),
inference(forward_subsumption_resolution,[],[f1173,f703]) ).
fof(f1175,plain,
spl22_38,
inference(avatar_contradiction_clause,[],[f1174]) ).
fof(f1266,plain,
( m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(resolution,[],[f1064,f280]) ).
fof(f1269,plain,
( m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| spl22_33 ),
inference(forward_subsumption_resolution,[],[f1266,f970]) ).
fof(f1272,plain,
( m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl22_32
| spl22_33 ),
inference(forward_subsumption_resolution,[],[f1269,f966]) ).
fof(f1275,plain,
( m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ spl22_31
| ~ spl22_32
| spl22_33 ),
inference(forward_subsumption_resolution,[],[f1272,f962]) ).
fof(f1358,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| sK2 = k7_filter_2(sK1,sK2) ),
inference(resolution,[],[f900,f798]) ).
fof(f1364,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| sK2 = k7_filter_2(sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1358,f217]) ).
fof(f1365,plain,
( ~ l3_lattices(sK1)
| sK2 = k7_filter_2(sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1364,f216]) ).
fof(f1366,plain,
sK2 = k7_filter_2(sK1,sK2),
inference(forward_subsumption_resolution,[],[f1365,f214]) ).
fof(f1725,plain,
( m1_filter_0(sK2,k1_lattice2(sK1))
| ~ spl22_31
| ~ spl22_32
| spl22_33 ),
inference(superposition,[],[f1275,f1366]) ).
fof(f1726,plain,
v1_filter_0(sK2,k1_lattice2(sK1)),
inference(superposition,[],[f1066,f1366]) ).
fof(f2298,plain,
( ~ m1_filter_0(sK2,k1_lattice2(sK1))
| ~ v1_filter_0(sK2,k1_lattice2(sK1))
| r2_hidden(sK3,sK2)
| spl22_2
| ~ spl22_45 ),
inference(resolution,[],[f1152,f393]) ).
fof(f2326,plain,
( ~ v1_filter_0(sK2,k1_lattice2(sK1))
| r2_hidden(sK3,sK2)
| spl22_2
| ~ spl22_31
| ~ spl22_32
| spl22_33
| ~ spl22_45 ),
inference(forward_subsumption_resolution,[],[f2298,f1725]) ).
fof(f2342,plain,
( r2_hidden(sK3,sK2)
| spl22_2
| ~ spl22_31
| ~ spl22_32
| spl22_33
| ~ spl22_45 ),
inference(forward_subsumption_resolution,[],[f2326,f1726]) ).
fof(f2343,plain,
( $false
| spl22_1
| spl22_2
| ~ spl22_31
| ~ spl22_32
| spl22_33
| ~ spl22_45 ),
inference(forward_subsumption_resolution,[],[f2342,f388]) ).
fof(f2344,plain,
( spl22_1
| spl22_2
| ~ spl22_31
| ~ spl22_32
| spl22_33
| ~ spl22_45 ),
inference(avatar_contradiction_clause,[],[f2343]) ).
fof(f2348,plain,
( ~ m1_filter_0(sK2,k1_lattice2(sK1))
| ~ v1_filter_0(sK2,k1_lattice2(sK1))
| ~ r2_hidden(sK3,sK2)
| ~ spl22_2
| ~ spl22_44 ),
inference(resolution,[],[f392,f1148]) ).
fof(f2354,plain,
( ~ v1_filter_0(sK2,k1_lattice2(sK1))
| ~ r2_hidden(sK3,sK2)
| ~ spl22_2
| ~ spl22_31
| ~ spl22_32
| spl22_33
| ~ spl22_44 ),
inference(forward_subsumption_resolution,[],[f2348,f1725]) ).
fof(f2355,plain,
( ~ r2_hidden(sK3,sK2)
| ~ spl22_2
| ~ spl22_31
| ~ spl22_32
| spl22_33
| ~ spl22_44 ),
inference(forward_subsumption_resolution,[],[f2354,f1726]) ).
fof(f2356,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| ~ spl22_31
| ~ spl22_32
| spl22_33
| ~ spl22_44 ),
inference(forward_subsumption_resolution,[],[f2355,f389]) ).
fof(f2357,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_31
| ~ spl22_32
| spl22_33
| ~ spl22_44 ),
inference(avatar_contradiction_clause,[],[f2356]) ).
cnf(s1,plain,
( spl22_1
| ~ spl22_2 ),
inference(sat_conversion,[],[f394]) ).
cnf(s2,plain,
( ~ spl22_1
| spl22_2 ),
inference(sat_conversion,[],[f395]) ).
cnf(s24,plain,
spl22_32,
inference(sat_conversion,[],[f996]) ).
cnf(s25,plain,
spl22_31,
inference(sat_conversion,[],[f1013]) ).
cnf(s28,plain,
~ spl22_33,
inference(sat_conversion,[],[f1076]) ).
cnf(s35,plain,
( ~ spl22_31
| ~ spl22_32
| spl22_33
| ~ spl22_38
| spl22_44 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s36,plain,
( ~ spl22_31
| ~ spl22_32
| spl22_33
| ~ spl22_38
| spl22_45 ),
inference(sat_conversion,[],[f1153]) ).
cnf(s38,plain,
spl22_38,
inference(sat_conversion,[],[f1175]) ).
cnf(s79,plain,
( spl22_1
| spl22_2
| ~ spl22_31
| ~ spl22_32
| spl22_33
| ~ spl22_45 ),
inference(sat_conversion,[],[f2344]) ).
cnf(s80,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_31
| ~ spl22_32
| spl22_33
| ~ spl22_44 ),
inference(sat_conversion,[],[f2357]) ).
cnf(s85,plain,
( ~ spl22_31
| ~ spl22_32
| spl22_33
| spl22_45 ),
inference(rat,[],[s36,s38]) ).
cnf(s86,plain,
( ~ spl22_31
| ~ spl22_32
| spl22_33
| spl22_44 ),
inference(rat,[],[s35,s38]) ).
cnf(s101,plain,
spl22_45,
inference(rat,[],[s85,s25,s28,s24]) ).
cnf(s102,plain,
spl22_44,
inference(rat,[],[s86,s25,s28,s24]) ).
cnf(s120,plain,
spl22_1,
inference(rat,[],[s1,s79,s25,s24,s28,s101]) ).
cnf(s121,plain,
~ spl22_2,
inference(rat,[],[s80,s102,s28,s24,s25,s120]) ).
cnf(s122,plain,
$false,
inference(rat,[],[s2,s121,s120]) ).
fof(f2358,plain,
$false,
inference(avatar_sat_refutation,[],[s122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT323+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 14:39:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.99/1.32 % (2425025)Detected formulas, will run a generic FOF schedule.
% 2.99/1.32 % (2425036)dis-21_1_sil=8000:lcm=predicate:random_seed=3375215320:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.99/1.32 % (2425036)Instruction limit reached!
% 2.99/1.32 % (2425036)------------------------------
% 2.99/1.32 % (2425036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.32 % (2425036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.32 % (2425036)CaDiCaL version: 2.1.3
% 2.99/1.32 % (2425036)Termination reason: Instruction limit
% 2.99/1.32 % (2425036)Termination phase: Saturation
% 2.99/1.32 % (2425036)Time elapsed: 0.038 s
% 2.99/1.32 % (2425036)Peak memory usage: 91 MB
% 2.99/1.32 % (2425036)Instructions burned: 131 (million)
% 2.99/1.32 % (2425034)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1096194714:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.99/1.32 % (2425031)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2202374824:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.99/1.32 % (2425035)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2461497034:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.99/1.32 % (2425033)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=190315878:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.99/1.32 % (2425030)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2557766504:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.99/1.32 % (2425032)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4028483380:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.99/1.32 % (2425033)Refutation not found, incomplete strategy
% 2.99/1.32 % (2425033)------------------------------
% 2.99/1.32 % (2425033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.32 % (2425033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.32 % (2425033)CaDiCaL version: 2.1.3
% 2.99/1.32 % (2425033)Termination reason: Refutation not found, incomplete strategy
% 2.99/1.32 % (2425033)Time elapsed: 0.002 s
% 2.99/1.32 % (2425033)Peak memory usage: 88 MB
% 2.99/1.32 % (2425033)Instructions burned: 1 (million)
% 2.99/1.32 % (2425034)Instruction limit reached!
% 2.99/1.32 % (2425034)------------------------------
% 2.99/1.32 % (2425034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.32 % (2425034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.32 % (2425034)CaDiCaL version: 2.1.3
% 2.99/1.32 % (2425034)Termination reason: Instruction limit
% 2.99/1.32 % (2425034)Termination phase: Saturation
% 2.99/1.32 % (2425034)Time elapsed: 0.071 s
% 2.99/1.32 % (2425034)Peak memory usage: 88 MB
% 2.99/1.32 % (2425034)Instructions burned: 120 (million)
% 2.99/1.32 % (2425035)Instruction limit reached!
% 2.99/1.32 % (2425035)------------------------------
% 2.99/1.32 % (2425035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.32 % (2425035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.32 % (2425035)CaDiCaL version: 2.1.3
% 2.99/1.32 % (2425035)Termination reason: Instruction limit
% 2.99/1.32 % (2425035)Termination phase: Saturation
% 2.99/1.32 % (2425035)Time elapsed: 0.101 s
% 2.99/1.32 % (2425035)Peak memory usage: 90 MB
% 2.99/1.32 % (2425035)Instructions burned: 140 (million)
% 2.99/1.32 % (2425038)lrs+10_1_sil=8000:sp=occurrence:random_seed=1198043768:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.99/1.32 % (2425038)First to succeed.
% 2.99/1.32 % (2425038)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2425025"
% 2.99/1.32 % (2425045)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3938597697:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.99/1.32 % (2425033)------------------------------
% 2.99/1.32 % (2425033)------------------------------
% 2.99/1.32 % (2425046)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3013211398:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.99/1.32 % (2425038)Refutation found. Thanks to Tanya!
% 2.99/1.32 % SZS status Theorem for theBenchmark
% 2.99/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 4.01/1.51 % (2425038)------------------------------
% 4.01/1.51 % (2425038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.51 % (2425038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.51 % (2425038)CaDiCaL version: 2.1.3
% 4.01/1.51 % (2425038)Termination reason: Refutation
% 4.01/1.51 % (2425038)Time elapsed: 0.024 s
% 4.01/1.51 % (2425038)Peak memory usage: 91 MB
% 4.01/1.51 % (2425038)Instructions burned: 65 (million)
% 4.01/1.51 % (2425038)------------------------------
% 4.01/1.51 % (2425038)------------------------------
% 4.01/1.51 % (2425025)Success in time 0.476 s
% 4.01/1.51 % Vampire exiting
%------------------------------------------------------------------------------