%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT324+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 : n001.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 11:46:56 AM UTC 2026
% Result : Theorem 8.63s 2.09s
% Output : Refutation 9.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 25
% Syntax : Number of formulae : 257 ( 30 unt; 10 def)
% Number of atoms : 1379 ( 96 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 1906 ( 784 ~; 897 |; 183 &)
% ( 11 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 9 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 191 ( 0 sgn 183 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( X1 != X2
& ! [X3] :
( m2_filter_2(X3,X0)
=> ~ ( r2_filter_2(X0,X3)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( X1 != X2
& ! [X3] :
( m2_filter_2(X3,X0)
=> ~ ( r2_filter_2(X0,X3)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) ) ) ) ) ) ) ),
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(f18,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
=> k8_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_filter_2) ).
fof(f20,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_filter_0(X1,k1_lattice2(X0)) )
=> m2_filter_2(k14_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_filter_2) ).
fof(f22,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(f26,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(f28,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_filter_2) ).
fof(f33,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(f55,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(f63,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(f86,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_filter_0(X1,k1_lattice2(X0)) )
=> k14_filter_2(X0,X1) = k8_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k14_filter_2) ).
fof(f87,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(f93,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(f97,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( X1 != X2
& ! [X3] :
( m1_filter_0(X3,X0)
=> ~ ( v1_filter_0(X3,X0)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_filter_0) ).
fof(f112,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,[],[f63]) ).
fof(f116,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& ! [X3] :
( ~ r2_filter_2(X0,X3)
| ( ( ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) )
& ( r2_hidden(X1,X3)
| ~ r2_hidden(X2,X3) ) )
| ~ m2_filter_2(X3,X0) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f117,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& ! [X3] :
( ~ r2_filter_2(X0,X3)
| ( ( ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) )
& ( r2_hidden(X1,X3)
| ~ r2_hidden(X2,X3) ) )
| ~ m2_filter_2(X3,X0) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& 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(f140,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(f141,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,[],[f140]) ).
fof(f142,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(f143,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,[],[f142]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f144]) ).
fof(f148,plain,
! [X0,X1] :
( m2_filter_2(k14_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f149,plain,
! [X0,X1] :
( m2_filter_2(k14_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0)) ),
inference(flattening,[],[f148]) ).
fof(f152,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f153,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,[],[f26]) ).
fof(f154,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,[],[f153]) ).
fof(f157,plain,
! [X0,X1] :
( m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(ennf_transformation,[],[f28]) ).
fof(f158,plain,
! [X0,X1] :
( m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(flattening,[],[f157]) ).
fof(f162,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,[],[f33]) ).
fof(f163,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,[],[f162]) ).
fof(f183,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f184,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f183]) ).
fof(f195,plain,
! [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)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f196,plain,
! [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)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f195]) ).
fof(f212,plain,
! [X0,X1] :
( k14_filter_2(X0,X1) = k8_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f213,plain,
! [X0,X1] :
( k14_filter_2(X0,X1) = k8_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0)) ),
inference(flattening,[],[f212]) ).
fof(f214,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,[],[f87]) ).
fof(f215,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,[],[f214]) ).
fof(f221,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,[],[f93]) ).
fof(f222,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,[],[f221]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ? [X3] :
( v1_filter_0(X3,X0)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) )
& m1_filter_0(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ? [X3] :
( v1_filter_0(X3,X0)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) )
& m1_filter_0(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f227]) ).
fof(f232,definition,
! [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)) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f233,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f196,f232]) ).
fof(f236,plain,
( sK3 != sK4
& ! [X3] :
( ~ r2_filter_2(sK2,X3)
| ( ( ~ r2_hidden(sK3,X3)
| r2_hidden(sK4,X3) )
& ( r2_hidden(sK3,X3)
| ~ r2_hidden(sK4,X3) ) )
| ~ m2_filter_2(X3,sK2) )
& m1_subset_1(sK4,u1_struct_0(sK2))
& m1_subset_1(sK3,u1_struct_0(sK2))
& ~ v3_struct_0(sK2)
& v10_lattices(sK2)
& v17_lattices(sK2)
& l3_lattices(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f117]) ).
fof(f248,plain,
! [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)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f232]) ).
fof(f269,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,[],[f222]) ).
fof(f270,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ( v1_filter_0(sK33(X0,X1,X2),X0)
& ( ( r2_hidden(X1,sK33(X0,X1,X2))
& ~ r2_hidden(X2,sK33(X0,X1,X2)) )
| ( ~ r2_hidden(X1,sK33(X0,X1,X2))
& r2_hidden(X2,sK33(X0,X1,X2)) ) )
& m1_filter_0(sK33(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(X3,sK33(X0,X1,X2))],[f228]) ).
fof(f271,plain,
l3_lattices(sK2),
inference(cnf_transformation,[],[f236]) ).
fof(f272,plain,
v17_lattices(sK2),
inference(cnf_transformation,[],[f236]) ).
fof(f273,plain,
v10_lattices(sK2),
inference(cnf_transformation,[],[f236]) ).
fof(f274,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f236]) ).
fof(f275,plain,
m1_subset_1(sK3,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f236]) ).
fof(f276,plain,
m1_subset_1(sK4,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f236]) ).
fof(f277,plain,
! [X3] :
( ~ r2_hidden(sK4,X3)
| r2_hidden(sK3,X3)
| ~ r2_filter_2(sK2,X3)
| ~ m2_filter_2(X3,sK2) ),
inference(cnf_transformation,[],[f236]) ).
fof(f278,plain,
! [X3] :
( ~ r2_hidden(sK3,X3)
| ~ r2_filter_2(sK2,X3)
| r2_hidden(sK4,X3)
| ~ m2_filter_2(X3,sK2) ),
inference(cnf_transformation,[],[f236]) ).
fof(f279,plain,
sK3 != sK4,
inference(cnf_transformation,[],[f236]) ).
fof(f317,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,[],[f141]) ).
fof(f318,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,[],[f143]) ).
fof(f319,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| k8_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f322,plain,
! [X0,X1] :
( m2_filter_2(k14_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f324,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f326,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,[],[f154]) ).
fof(f328,plain,
! [X0,X1] :
( m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(cnf_transformation,[],[f158]) ).
fof(f333,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,[],[f163]) ).
fof(f360,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f373,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f379,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f388,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f499,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k8_filter_2(X0,X1) = k14_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f500,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,[],[f215]) ).
fof(f509,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,[],[f269]) ).
fof(f513,plain,
! [X2,X0,X1] :
( m1_filter_0(sK33(X0,X1,X2),X0)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f515,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,sK33(X0,X1,X2))
| X1 = X2
| ~ r2_hidden(X1,sK33(X0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f516,plain,
! [X2,X0,X1] :
( r2_hidden(X2,sK33(X0,X1,X2))
| r2_hidden(X1,sK33(X0,X1,X2))
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f518,plain,
! [X2,X0,X1] :
( v1_filter_0(sK33(X0,X1,X2),X0)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f522,definition,
sF34 = u1_struct_0(sK2),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f523,plain,
u1_struct_0(sK2) = sF34,
inference(reorient_equations,[],[f522]) ).
fof(f524,plain,
m1_subset_1(sK4,sF34),
inference(definition_folding,[],[f276,f523]) ).
fof(f525,plain,
m1_subset_1(sK3,sF34),
inference(definition_folding,[],[f275,f523]) ).
fof(f526,plain,
! [X0,X1] :
( ~ r2_filter_2(sK2,sK33(X0,X1,sK4))
| sK4 = X1
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| r2_hidden(sK3,sK33(X0,X1,sK4))
| r2_hidden(X1,sK33(X0,X1,sK4))
| ~ m2_filter_2(sK33(X0,X1,sK4),sK2) ),
inference(resolution,[],[f516,f277]) ).
fof(f529,plain,
! [X0,X1] :
( ~ r2_filter_2(sK2,sK33(X0,sK3,X1))
| sK3 = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(sK3,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| r2_hidden(X1,sK33(X0,sK3,X1))
| r2_hidden(sK4,sK33(X0,sK3,X1))
| ~ m2_filter_2(sK33(X0,sK3,X1),sK2) ),
inference(resolution,[],[f516,f278]) ).
fof(f532,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF34))
| k7_filter_2(sK2,X0) = X0
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(superposition,[],[f318,f523]) ).
fof(f533,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF34))
| k7_filter_2(sK2,X0) = X0
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f532,f274]) ).
fof(f534,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF34))
| k7_filter_2(sK2,X0) = X0
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f533,f273]) ).
fof(f535,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF34))
| k7_filter_2(sK2,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f534,f271]) ).
fof(f536,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k5_filter_2(sK2,X0) = X0
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(superposition,[],[f317,f523]) ).
fof(f537,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k5_filter_2(sK2,X0) = X0
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f536,f274]) ).
fof(f538,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k5_filter_2(sK2,X0) = X0
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f537,f273]) ).
fof(f539,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k5_filter_2(sK2,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f538,f271]) ).
fof(f540,plain,
sK3 = k5_filter_2(sK2,sK3),
inference(resolution,[],[f539,f525]) ).
fof(f541,plain,
sK4 = k5_filter_2(sK2,sK4),
inference(resolution,[],[f539,f524]) ).
fof(f593,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ v17_lattices(sK2)
| sP0(sK2) ),
inference(resolution,[],[f388,f271]) ).
fof(f595,plain,
( ~ v10_lattices(sK2)
| ~ v17_lattices(sK2)
| sP0(sK2) ),
inference(forward_subsumption_resolution,[],[f593,f274]) ).
fof(f596,plain,
( ~ v17_lattices(sK2)
| sP0(sK2) ),
inference(forward_subsumption_resolution,[],[f595,f273]) ).
fof(f597,plain,
sP0(sK2),
inference(forward_subsumption_resolution,[],[f596,f272]) ).
fof(f605,plain,
! [X0,X1] :
( k8_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(resolution,[],[f319,f333]) ).
fof(f606,plain,
! [X0,X1] :
( k8_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(forward_subsumption_resolution,[],[f605,f360]) ).
fof(f607,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k8_filter_2(X0,X1) = X1
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(forward_subsumption_resolution,[],[f606,f324]) ).
fof(f633,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sK33(k1_lattice2(X0),X1,X2) = k8_filter_2(X0,sK33(k1_lattice2(X0),X1,X2))
| ~ v10_lattices(k1_lattice2(X0))
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(resolution,[],[f607,f513]) ).
fof(f634,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sK33(k1_lattice2(X0),X1,X2) = k8_filter_2(X0,sK33(k1_lattice2(X0),X1,X2))
| ~ v10_lattices(k1_lattice2(X0))
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(duplicate_literal_removal,[],[f633]) ).
fof(f635,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sK33(k1_lattice2(X0),X1,X2) = k8_filter_2(X0,sK33(k1_lattice2(X0),X1,X2))
| ~ v10_lattices(k1_lattice2(X0))
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(X0)))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(forward_subsumption_resolution,[],[f634,f360]) ).
fof(f636,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X0)))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sK33(k1_lattice2(X0),X1,X2) = k8_filter_2(X0,sK33(k1_lattice2(X0),X1,X2))
| ~ v10_lattices(k1_lattice2(X0))
| X1 = X2
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(X0)))
| ~ v17_lattices(k1_lattice2(X0)) ),
inference(forward_subsumption_resolution,[],[f635,f324]) ).
fof(f713,definition,
( spl35_8
<=> l3_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl35_8])],[avatar_definition]) ).
fof(f714,plain,
( l3_lattices(k1_lattice2(sK2))
| ~ spl35_8 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f715,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| spl35_8 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f717,definition,
( spl35_9
<=> v10_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl35_9])],[avatar_definition]) ).
fof(f718,plain,
( v10_lattices(k1_lattice2(sK2))
| ~ spl35_9 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f719,plain,
( ~ v10_lattices(k1_lattice2(sK2))
| spl35_9 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f721,definition,
( spl35_10
<=> v3_struct_0(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl35_10])],[avatar_definition]) ).
fof(f722,plain,
( ~ v3_struct_0(k1_lattice2(sK2))
| spl35_10 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f723,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ spl35_10 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f732,plain,
( ~ l3_lattices(sK2)
| spl35_8 ),
inference(resolution,[],[f715,f324]) ).
fof(f733,plain,
( $false
| spl35_8 ),
inference(forward_subsumption_resolution,[],[f732,f271]) ).
fof(f734,plain,
spl35_8,
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f750,plain,
( m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_subset_1(sK3,u1_struct_0(sK2)) ),
inference(superposition,[],[f326,f540]) ).
fof(f751,plain,
( m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(superposition,[],[f326,f541]) ).
fof(f753,plain,
( m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f751,f274]) ).
fof(f754,plain,
( m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_subset_1(sK3,u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f750,f274]) ).
fof(f757,plain,
( m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f753,f273]) ).
fof(f758,plain,
( m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(sK2)
| ~ m1_subset_1(sK3,u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f754,f273]) ).
fof(f761,plain,
( m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f757,f271]) ).
fof(f762,plain,
( m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f758,f271]) ).
fof(f763,plain,
( ~ m1_subset_1(sK4,sF34)
| m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2))) ),
inference(forward_demodulation,[],[f761,f523]) ).
fof(f764,plain,
( ~ m1_subset_1(sK3,sF34)
| m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2))) ),
inference(forward_demodulation,[],[f762,f523]) ).
fof(f765,plain,
m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2))),
inference(forward_subsumption_resolution,[],[f763,f524]) ).
fof(f766,plain,
m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2))),
inference(forward_subsumption_resolution,[],[f764,f525]) ).
fof(f798,plain,
! [X0] :
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| sK33(k1_lattice2(sK2),X0,sK4) = k8_filter_2(sK2,sK33(k1_lattice2(sK2),X0,sK4))
| ~ v10_lattices(k1_lattice2(sK2))
| sK4 = X0
| v3_struct_0(sK2)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK2)))
| ~ v17_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f636,f765]) ).
fof(f829,plain,
( ~ sP0(sK2)
| spl35_9 ),
inference(resolution,[],[f379,f719]) ).
fof(f830,plain,
( $false
| spl35_9 ),
inference(forward_subsumption_resolution,[],[f829,f597]) ).
fof(f831,plain,
spl35_9,
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f834,plain,
! [X0] :
( ~ l3_lattices(sK2)
| sK33(k1_lattice2(sK2),X0,sK4) = k8_filter_2(sK2,sK33(k1_lattice2(sK2),X0,sK4))
| ~ v10_lattices(k1_lattice2(sK2))
| sK4 = X0
| v3_struct_0(sK2)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK2)))
| ~ v17_lattices(k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f798,f273]) ).
fof(f838,plain,
! [X0] :
( sK33(k1_lattice2(sK2),X0,sK4) = k8_filter_2(sK2,sK33(k1_lattice2(sK2),X0,sK4))
| ~ v10_lattices(k1_lattice2(sK2))
| sK4 = X0
| v3_struct_0(sK2)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK2)))
| ~ v17_lattices(k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f834,f271]) ).
fof(f842,plain,
( ! [X0] :
( sK33(k1_lattice2(sK2),X0,sK4) = k8_filter_2(sK2,sK33(k1_lattice2(sK2),X0,sK4))
| sK4 = X0
| v3_struct_0(sK2)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK2)))
| ~ v17_lattices(k1_lattice2(sK2)) )
| ~ spl35_9 ),
inference(forward_subsumption_resolution,[],[f838,f718]) ).
fof(f846,plain,
( ! [X0] :
( sK33(k1_lattice2(sK2),X0,sK4) = k8_filter_2(sK2,sK33(k1_lattice2(sK2),X0,sK4))
| sK4 = X0
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK2)))
| ~ v17_lattices(k1_lattice2(sK2)) )
| ~ spl35_9 ),
inference(forward_subsumption_resolution,[],[f842,f274]) ).
fof(f849,definition,
( spl35_14
<=> v17_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl35_14])],[avatar_definition]) ).
fof(f850,plain,
( v17_lattices(k1_lattice2(sK2))
| ~ spl35_14 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f851,plain,
( ~ v17_lattices(k1_lattice2(sK2))
| spl35_14 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f861,definition,
( spl35_17
<=> ! [X0] :
( sK33(k1_lattice2(sK2),X0,sK4) = k8_filter_2(sK2,sK33(k1_lattice2(sK2),X0,sK4))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK2)))
| sK4 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl35_17])],[avatar_definition]) ).
fof(f862,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK2)))
| sK33(k1_lattice2(sK2),X0,sK4) = k8_filter_2(sK2,sK33(k1_lattice2(sK2),X0,sK4))
| sK4 = X0 )
| ~ spl35_17 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f863,plain,
( ~ spl35_14
| spl35_17
| ~ spl35_9 ),
inference(avatar_split_clause,[],[f846,f717,f861,f849]) ).
fof(f868,plain,
( v3_struct_0(sK2)
| ~ l3_lattices(sK2)
| ~ spl35_10 ),
inference(resolution,[],[f723,f360]) ).
fof(f869,plain,
( ~ l3_lattices(sK2)
| ~ spl35_10 ),
inference(forward_subsumption_resolution,[],[f868,f274]) ).
fof(f870,plain,
( $false
| ~ spl35_10 ),
inference(forward_subsumption_resolution,[],[f869,f271]) ).
fof(f871,plain,
~ spl35_10,
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f947,plain,
! [X0] :
( m1_subset_1(k8_filter_2(sK2,X0),k1_zfmisc_1(sF34))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2)))) ),
inference(superposition,[],[f328,f523]) ).
fof(f949,plain,
! [X0] :
( m1_subset_1(k8_filter_2(sK2,X0),k1_zfmisc_1(sF34))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2)))) ),
inference(forward_subsumption_resolution,[],[f947,f274]) ).
fof(f954,plain,
! [X0] :
( m1_subset_1(k8_filter_2(sK2,X0),k1_zfmisc_1(sF34))
| ~ l3_lattices(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2)))) ),
inference(forward_subsumption_resolution,[],[f949,f273]) ).
fof(f958,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| m1_subset_1(k8_filter_2(sK2,X0),k1_zfmisc_1(sF34)) ),
inference(forward_subsumption_resolution,[],[f954,f271]) ).
fof(f966,plain,
! [X0] :
( m1_subset_1(k8_filter_2(sK2,X0),k1_zfmisc_1(sF34))
| ~ m1_filter_0(X0,k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f958,f333]) ).
fof(f975,plain,
( ! [X0] :
( m1_subset_1(k8_filter_2(sK2,X0),k1_zfmisc_1(sF34))
| ~ m1_filter_0(X0,k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) )
| spl35_10 ),
inference(forward_subsumption_resolution,[],[f966,f722]) ).
fof(f979,plain,
( ! [X0] :
( m1_subset_1(k8_filter_2(sK2,X0),k1_zfmisc_1(sF34))
| ~ m1_filter_0(X0,k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) )
| ~ spl35_9
| spl35_10 ),
inference(forward_subsumption_resolution,[],[f975,f718]) ).
fof(f983,plain,
( ! [X0] :
( m1_subset_1(k8_filter_2(sK2,X0),k1_zfmisc_1(sF34))
| ~ m1_filter_0(X0,k1_lattice2(sK2)) )
| ~ spl35_8
| ~ spl35_9
| spl35_10 ),
inference(forward_subsumption_resolution,[],[f979,f714]) ).
fof(f986,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK2))
| k8_filter_2(sK2,X0) = k7_filter_2(sK2,k8_filter_2(sK2,X0)) )
| ~ spl35_8
| ~ spl35_9
| spl35_10 ),
inference(resolution,[],[f983,f535]) ).
fof(f1198,plain,
( ~ sP0(sK2)
| spl35_14 ),
inference(resolution,[],[f373,f851]) ).
fof(f1199,plain,
( $false
| spl35_14 ),
inference(forward_subsumption_resolution,[],[f1198,f597]) ).
fof(f1200,plain,
spl35_14,
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1221,plain,
( sK33(k1_lattice2(sK2),sK3,sK4) = k8_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| sK3 = sK4
| ~ spl35_17 ),
inference(resolution,[],[f862,f766]) ).
fof(f1223,plain,
( sK33(k1_lattice2(sK2),sK3,sK4) = k8_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_17 ),
inference(forward_subsumption_resolution,[],[f1221,f279]) ).
fof(f1232,definition,
( spl35_44
<=> m1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl35_44])],[avatar_definition]) ).
fof(f1233,plain,
( m1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2))
| ~ spl35_44 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1234,plain,
( ~ m1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2))
| spl35_44 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1256,plain,
( sK3 = sK4
| ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl35_44 ),
inference(resolution,[],[f1234,f513]) ).
fof(f1257,plain,
( ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl35_44 ),
inference(forward_subsumption_resolution,[],[f1256,f279]) ).
fof(f1258,plain,
( ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl35_44 ),
inference(forward_subsumption_resolution,[],[f1257,f765]) ).
fof(f1259,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl35_44 ),
inference(forward_subsumption_resolution,[],[f1258,f766]) ).
fof(f1260,plain,
( ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl35_10
| spl35_44 ),
inference(forward_subsumption_resolution,[],[f1259,f722]) ).
fof(f1261,plain,
( ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl35_9
| spl35_10
| spl35_44 ),
inference(forward_subsumption_resolution,[],[f1260,f718]) ).
fof(f1262,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| ~ spl35_9
| spl35_10
| ~ spl35_14
| spl35_44 ),
inference(forward_subsumption_resolution,[],[f1261,f850]) ).
fof(f1263,plain,
( $false
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| spl35_44 ),
inference(forward_subsumption_resolution,[],[f1262,f714]) ).
fof(f1264,plain,
( ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| spl35_44 ),
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1270,plain,
( k8_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4)) = k7_filter_2(sK2,k8_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4)))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_44 ),
inference(resolution,[],[f1233,f986]) ).
fof(f1273,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| k8_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4)) = k14_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_44 ),
inference(resolution,[],[f1233,f499]) ).
fof(f1280,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| k8_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4)) = k14_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1273,f274]) ).
fof(f1282,plain,
( sK33(k1_lattice2(sK2),sK3,sK4) = k7_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_demodulation,[],[f1270,f1223]) ).
fof(f1286,plain,
( ~ l3_lattices(sK2)
| k8_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4)) = k14_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1280,f273]) ).
fof(f1291,plain,
( k8_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4)) = k14_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1286,f271]) ).
fof(f1293,plain,
( sK33(k1_lattice2(sK2),sK3,sK4) = k14_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_demodulation,[],[f1291,f1223]) ).
fof(f1294,plain,
( m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2))
| ~ spl35_17
| ~ spl35_44 ),
inference(superposition,[],[f322,f1293]) ).
fof(f1295,plain,
( m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2))
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1294,f274]) ).
fof(f1296,plain,
( m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ l3_lattices(sK2)
| ~ m1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2))
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1295,f273]) ).
fof(f1297,plain,
( m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ m1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2))
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1296,f271]) ).
fof(f1298,plain,
( m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1297,f1233]) ).
fof(f1300,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| k7_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4)) = k15_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_17
| ~ spl35_44 ),
inference(resolution,[],[f1298,f500]) ).
fof(f1301,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| k7_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4)) = k15_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1300,f274]) ).
fof(f1303,plain,
( ~ l3_lattices(sK2)
| k7_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4)) = k15_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1301,f273]) ).
fof(f1305,plain,
( k7_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4)) = k15_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1303,f271]) ).
fof(f1307,plain,
( sK33(k1_lattice2(sK2),sK3,sK4) = k15_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_demodulation,[],[f1305,f1282]) ).
fof(f1310,plain,
( ~ v1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2))
| r2_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_17
| ~ spl35_44 ),
inference(superposition,[],[f509,f1307]) ).
fof(f1311,plain,
( ~ v1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2))
| r2_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1310,f1298]) ).
fof(f1312,plain,
( ~ v1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2))
| r2_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1311,f274]) ).
fof(f1313,plain,
( ~ v1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2))
| r2_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ l3_lattices(sK2)
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1312,f273]) ).
fof(f1314,plain,
( ~ v1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2))
| r2_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_17
| ~ spl35_44 ),
inference(forward_subsumption_resolution,[],[f1313,f271]) ).
fof(f1316,definition,
( spl35_48
<=> r2_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl35_48])],[avatar_definition]) ).
fof(f1318,plain,
( r2_filter_2(sK2,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_48 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1320,definition,
( spl35_49
<=> v1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl35_49])],[avatar_definition]) ).
fof(f1322,plain,
( ~ v1_filter_0(sK33(k1_lattice2(sK2),sK3,sK4),k1_lattice2(sK2))
| spl35_49 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1323,plain,
( spl35_48
| ~ spl35_49
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_17
| ~ spl35_44 ),
inference(avatar_split_clause,[],[f1314,f1232,f861,f721,f717,f713,f1320,f1316]) ).
fof(f1324,plain,
( sK3 = sK4
| ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl35_49 ),
inference(resolution,[],[f1322,f518]) ).
fof(f1325,plain,
( ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl35_49 ),
inference(forward_subsumption_resolution,[],[f1324,f279]) ).
fof(f1326,plain,
( ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl35_49 ),
inference(forward_subsumption_resolution,[],[f1325,f765]) ).
fof(f1327,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl35_49 ),
inference(forward_subsumption_resolution,[],[f1326,f766]) ).
fof(f1328,plain,
( ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl35_10
| spl35_49 ),
inference(forward_subsumption_resolution,[],[f1327,f722]) ).
fof(f1329,plain,
( ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl35_9
| spl35_10
| spl35_49 ),
inference(forward_subsumption_resolution,[],[f1328,f718]) ).
fof(f1330,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| ~ spl35_9
| spl35_10
| ~ spl35_14
| spl35_49 ),
inference(forward_subsumption_resolution,[],[f1329,f850]) ).
fof(f1331,plain,
( $false
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| spl35_49 ),
inference(forward_subsumption_resolution,[],[f1330,f714]) ).
fof(f1332,plain,
( ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| spl35_49 ),
inference(avatar_contradiction_clause,[],[f1331]) ).
fof(f1333,plain,
( sK3 = sK4
| ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK4,sK33(k1_lattice2(sK2),sK3,sK4))
| r2_hidden(sK4,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_48 ),
inference(resolution,[],[f1318,f529]) ).
fof(f1334,plain,
( sK3 = sK4
| ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_48 ),
inference(resolution,[],[f1318,f526]) ).
fof(f1335,plain,
( sK3 = sK4
| ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_48 ),
inference(duplicate_literal_removal,[],[f1334]) ).
fof(f1336,plain,
( sK3 = sK4
| ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK4,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_48 ),
inference(duplicate_literal_removal,[],[f1333]) ).
fof(f1337,plain,
( ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1335,f279]) ).
fof(f1338,plain,
( ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK4,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1336,f279]) ).
fof(f1339,plain,
( ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1337,f765]) ).
fof(f1340,plain,
( ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK4,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1338,f765]) ).
fof(f1341,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1339,f766]) ).
fof(f1342,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK4,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1340,f766]) ).
fof(f1343,plain,
( ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| spl35_10
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1341,f722]) ).
fof(f1344,plain,
( ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK4,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| spl35_10
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1342,f722]) ).
fof(f1345,plain,
( ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_9
| spl35_10
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1343,f718]) ).
fof(f1346,plain,
( ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK4,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_9
| spl35_10
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1344,f718]) ).
fof(f1347,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1345,f850]) ).
fof(f1348,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| r2_hidden(sK4,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1346,f850]) ).
fof(f1349,plain,
( r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1347,f714]) ).
fof(f1350,plain,
( r2_hidden(sK4,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m2_filter_2(sK33(k1_lattice2(sK2),sK3,sK4),sK2)
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1348,f714]) ).
fof(f1351,plain,
( r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1349,f1298]) ).
fof(f1352,plain,
( r2_hidden(sK4,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1350,f1298]) ).
fof(f1356,plain,
( sK3 = sK4
| ~ r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(resolution,[],[f1352,f515]) ).
fof(f1360,plain,
( ~ r2_hidden(sK3,sK33(k1_lattice2(sK2),sK3,sK4))
| ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1356,f279]) ).
fof(f1361,plain,
( ~ m1_subset_1(sK4,u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1360,f1351]) ).
fof(f1362,plain,
( ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK2)))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1361,f765]) ).
fof(f1363,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1362,f766]) ).
fof(f1364,plain,
( ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1363,f722]) ).
fof(f1365,plain,
( ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1364,f718]) ).
fof(f1366,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1365,f850]) ).
fof(f1367,plain,
( $false
| ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(forward_subsumption_resolution,[],[f1366,f714]) ).
fof(f1368,plain,
( ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(avatar_contradiction_clause,[],[f1367]) ).
cnf(s8,plain,
spl35_8,
inference(sat_conversion,[],[f734]) ).
cnf(s12,plain,
spl35_9,
inference(sat_conversion,[],[f831]) ).
cnf(s15,plain,
( ~ spl35_9
| ~ spl35_14
| spl35_17 ),
inference(sat_conversion,[],[f863]) ).
cnf(s17,plain,
~ spl35_10,
inference(sat_conversion,[],[f871]) ).
cnf(s31,plain,
spl35_14,
inference(sat_conversion,[],[f1200]) ).
cnf(s35,plain,
( ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| spl35_44 ),
inference(sat_conversion,[],[f1264]) ).
cnf(s37,plain,
( ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_17
| ~ spl35_44
| spl35_48
| ~ spl35_49 ),
inference(sat_conversion,[],[f1323]) ).
cnf(s38,plain,
( ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| spl35_49 ),
inference(sat_conversion,[],[f1332]) ).
cnf(s39,plain,
( ~ spl35_8
| ~ spl35_9
| spl35_10
| ~ spl35_14
| ~ spl35_17
| ~ spl35_44
| ~ spl35_48 ),
inference(sat_conversion,[],[f1368]) ).
cnf(s46,plain,
( ~ spl35_9
| spl35_17 ),
inference(rat,[],[s15,s31]) ).
cnf(s50,plain,
spl35_17,
inference(rat,[],[s46,s12]) ).
cnf(s53,plain,
spl35_49,
inference(rat,[],[s38,s12,s31,s17,s8]) ).
cnf(s54,plain,
spl35_44,
inference(rat,[],[s35,s12,s31,s17,s8]) ).
cnf(s56,plain,
~ spl35_48,
inference(rat,[],[s39,s8,s50,s12,s31,s17,s54]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s37,s53,s8,s50,s12,s17,s56,s54]) ).
fof(f1369,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT324+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 14:43:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 8.63/2.09 % (3634415)Detected formulas, will run a generic FOF schedule.
% 8.63/2.09 % (3634426)dis-21_1_sil=8000:lcm=predicate:random_seed=948241876: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)
% 8.63/2.09 % (3634423)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=834139778:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.63/2.09 % (3634425)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4010407278:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.63/2.09 % (3634424)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=7515813:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.63/2.09 % (3634420)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=3536278967:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.63/2.09 % (3634422)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=3535051698:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.63/2.09 % (3634421)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=1930282741:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.63/2.09 % (3634426)Instruction limit reached!
% 8.63/2.09 % (3634426)------------------------------
% 8.63/2.09 % (3634426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634426)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634426)Termination reason: Instruction limit
% 8.63/2.09 % (3634426)Termination phase: Saturation
% 8.63/2.09 % (3634426)Time elapsed: 0.040 s
% 8.63/2.09 % (3634426)Peak memory usage: 92 MB
% 8.63/2.09 % (3634426)Instructions burned: 132 (million)
% 8.63/2.09 % (3634423)Refutation not found, incomplete strategy
% 8.63/2.09 % (3634423)------------------------------
% 8.63/2.09 % (3634423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634423)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634423)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.09 % (3634423)Time elapsed: 0.002 s
% 8.63/2.09 % (3634423)Peak memory usage: 88 MB
% 8.63/2.09 % (3634423)Instructions burned: 2 (million)
% 8.63/2.09 % (3634424)Instruction limit reached!
% 8.63/2.09 % (3634424)------------------------------
% 8.63/2.09 % (3634424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634424)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634424)Termination reason: Instruction limit
% 8.63/2.09 % (3634424)Termination phase: Saturation
% 8.63/2.09 % (3634424)Time elapsed: 0.071 s
% 8.63/2.09 % (3634424)Peak memory usage: 89 MB
% 8.63/2.09 % (3634424)Instructions burned: 120 (million)
% 8.63/2.09 % (3634425)Instruction limit reached!
% 8.63/2.09 % (3634425)------------------------------
% 8.63/2.09 % (3634425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634425)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634425)Termination reason: Instruction limit
% 8.63/2.09 % (3634425)Termination phase: Saturation
% 8.63/2.09 % (3634425)Time elapsed: 0.098 s
% 8.63/2.09 % (3634425)Peak memory usage: 90 MB
% 8.63/2.09 % (3634425)Instructions burned: 140 (million)
% 8.63/2.09 % (3634434)lrs+10_1_sil=8000:sp=occurrence:random_seed=3559201522:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.63/2.09 % (3634434)Instruction limit reached!
% 8.63/2.09 % (3634434)------------------------------
% 8.63/2.09 % (3634434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634434)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634434)Termination reason: Instruction limit
% 8.63/2.09 % (3634434)Termination phase: Saturation
% 8.63/2.09 % (3634434)Time elapsed: 0.094 s
% 8.63/2.09 % (3634434)Peak memory usage: 92 MB
% 8.63/2.09 % (3634434)Instructions burned: 287 (million)
% 8.63/2.09 % (3634435)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2080938820:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.63/2.09 % (3634435)Refutation not found, incomplete strategy
% 8.63/2.09 % (3634435)------------------------------
% 8.63/2.09 % (3634435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634423)------------------------------
% 8.63/2.09 % (3634423)------------------------------
% 8.63/2.09 % (3634435)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634435)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.09 % (3634435)Time elapsed: 0.006 s
% 8.63/2.09 % (3634435)Peak memory usage: 89 MB
% 8.63/2.09 % (3634435)Instructions burned: 7 (million)
% 8.63/2.09 % (3634436)lrs+1011_1_sil=32000:sp=occurrence:random_seed=872525817:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.63/2.09 % (3634438)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3533246880:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.63/2.09 % (3634440)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1492804862:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.63/2.09 % (3634438)Instruction limit reached!
% 8.63/2.09 % (3634438)------------------------------
% 8.63/2.09 % (3634438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634438)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634438)Termination reason: Instruction limit
% 8.63/2.09 % (3634438)Termination phase: Saturation
% 8.63/2.09 % (3634438)Time elapsed: 0.083 s
% 8.63/2.09 % (3634438)Peak memory usage: 91 MB
% 8.63/2.09 % (3634438)Instructions burned: 249 (million)
% 8.63/2.09 % (3634440)Refutation not found, incomplete strategy
% 8.63/2.09 % (3634440)------------------------------
% 8.63/2.09 % (3634440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634440)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634440)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.09 % (3634440)Time elapsed: 0.012 s
% 8.63/2.09 % (3634440)Peak memory usage: 89 MB
% 8.63/2.09 % (3634440)Instructions burned: 18 (million)
% 8.63/2.09 % (3634436)Instruction limit reached!
% 8.63/2.09 % (3634436)------------------------------
% 8.63/2.09 % (3634436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634436)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634436)Termination reason: Instruction limit
% 8.63/2.09 % (3634436)Termination phase: Saturation
% 8.63/2.09 % (3634436)Time elapsed: 0.224 s
% 8.63/2.09 % (3634436)Peak memory usage: 91 MB
% 8.63/2.09 % (3634436)Instructions burned: 327 (million)
% 8.63/2.09 % (3634435)------------------------------
% 8.63/2.09 % (3634435)------------------------------
% 8.63/2.09 % (3634444)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=636727488:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.63/2.09 % (3634445)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3947107054:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.63/2.09 % (3634446)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=909824166:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.63/2.09 % (3634440)------------------------------
% 8.63/2.09 % (3634440)------------------------------
% 8.63/2.09 % (3634446)Instruction limit reached!
% 8.63/2.09 % (3634446)------------------------------
% 8.63/2.09 % (3634446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634446)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634446)Termination reason: Instruction limit
% 8.63/2.09 % (3634446)Termination phase: Saturation
% 8.63/2.09 % (3634446)Time elapsed: 0.065 s
% 8.63/2.09 % (3634446)Peak memory usage: 89 MB
% 8.63/2.09 % (3634446)Instructions burned: 127 (million)
% 8.63/2.09 % (3634445)Instruction limit reached!
% 8.63/2.09 % (3634445)------------------------------
% 8.63/2.09 % (3634445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634445)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634445)Termination reason: Instruction limit
% 8.63/2.09 % (3634445)Termination phase: Saturation
% 8.63/2.09 % (3634445)Time elapsed: 0.078 s
% 8.63/2.09 % (3634445)Peak memory usage: 91 MB
% 8.63/2.09 % (3634445)Instructions burned: 113 (million)
% 8.63/2.09 % (3634420)First to succeed.
% 8.63/2.09 % (3634420)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3634415"
% 8.63/2.09 % (3634421)Also succeeded, but the first one will report.
% 8.63/2.09 % (3634450)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=649705916:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.63/2.09 % (3634451)lrs+10_1_sil=8000:sp=occurrence:random_seed=2443359924:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 8.63/2.09 % (3634452)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2499565574:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.63/2.09 % (3634452)Refutation not found, incomplete strategy
% 8.63/2.09 % (3634452)------------------------------
% 8.63/2.09 % (3634452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634452)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634452)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.09 % (3634452)Time elapsed: 0.012 s
% 8.63/2.09 % (3634452)Peak memory usage: 88 MB
% 8.63/2.09 % (3634452)Instructions burned: 19 (million)
% 8.63/2.09 % (3634450)Instruction limit reached!
% 8.63/2.09 % (3634450)------------------------------
% 8.63/2.09 % (3634450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09 % (3634450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09 % (3634450)CaDiCaL version: 2.1.3
% 8.63/2.09 % (3634450)Termination reason: Instruction limit
% 8.63/2.09 % (3634450)Termination phase: Saturation
% 8.63/2.09 % (3634450)Time elapsed: 0.068 s
% 8.63/2.09 % (3634450)Peak memory usage: 89 MB
% 8.63/2.09 % (3634450)Instructions burned: 114 (million)
% 8.63/2.09 % (3634444)Also succeeded, but the first one will report.
% 8.63/2.09 % (3634420)Refutation found. Thanks to Tanya!
% 8.63/2.09 % SZS status Theorem for theBenchmark
% 8.63/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 9.10/2.29 % (3634420)------------------------------
% 9.10/2.29 % (3634420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/2.29 % (3634420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/2.29 % (3634420)CaDiCaL version: 2.1.3
% 9.10/2.29 % (3634420)Termination reason: Refutation
% 9.10/2.29 % (3634420)Time elapsed: 0.769 s
% 9.10/2.29 % (3634420)Peak memory usage: 130 MB
% 9.10/2.29 % (3634420)Instructions burned: 1125 (million)
% 9.10/2.29 % (3634420)------------------------------
% 9.10/2.29 % (3634420)------------------------------
% 9.10/2.29 % (3634415)Success in time 1.22 s
% 9.10/2.29 % Vampire exiting
%------------------------------------------------------------------------------