%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT309+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 : n006.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 11:46:46 AM UTC 2026
% Result : Theorem 6.74s 1.95s
% Output : Refutation 8.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 27
% Syntax : Number of formulae : 226 ( 30 unt; 8 def)
% Number of atoms : 951 ( 82 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1210 ( 485 ~; 562 |; 114 &)
% ( 17 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 9 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 179 ( 0 sgn 173 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( v14_lattices(X0)
& X1 != k6_lattices(X0)
& ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r2_hidden(X1,X2)
& r2_filter_2(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( v14_lattices(X0)
& X1 != k6_lattices(X0)
& ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r2_hidden(X1,X2)
& r2_filter_2(X0,X2) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f13,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(f14,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(f15,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(f17,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(f19,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(f23,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(f27,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_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_2) ).
fof(f37,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(f54,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(f65,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(f81,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(f82,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(f83,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(f87,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0)
& X1 != k5_lattices(X0)
& ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_filter_0) ).
fof(f89,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(f93,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_lattice2) ).
fof(f95,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_lattice2) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( v14_lattices(X0)
& X1 != k6_lattices(X0)
& ! [X2] :
( ~ r2_hidden(X1,X2)
| ~ r2_filter_2(X0,X2)
| ~ m2_filter_2(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( v14_lattices(X0)
& X1 != k6_lattices(X0)
& ! [X2] :
( ~ r2_hidden(X1,X2)
| ~ r2_filter_2(X0,X2)
| ~ m2_filter_2(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f99]) ).
fof(f117,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,[],[f13]) ).
fof(f118,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,[],[f117]) ).
fof(f119,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,[],[f14]) ).
fof(f120,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,[],[f119]) ).
fof(f121,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,[],[f15]) ).
fof(f122,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,[],[f121]) ).
fof(f125,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,[],[f17]) ).
fof(f126,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,[],[f125]) ).
fof(f129,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f130,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,[],[f23]) ).
fof(f131,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,[],[f130]) ).
fof(f138,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,[],[f27]) ).
fof(f139,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,[],[f138]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f145]) ).
fof(f149,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,[],[f37]) ).
fof(f150,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,[],[f149]) ).
fof(f164,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f165,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f164]) ).
fof(f182,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)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f183,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)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f182]) ).
fof(f191,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,[],[f81]) ).
fof(f192,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,[],[f191]) ).
fof(f193,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,[],[f82]) ).
fof(f194,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,[],[f193]) ).
fof(f195,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,[],[f83]) ).
fof(f196,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,[],[f195]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| k5_lattices(X0) = X1
| ? [X2] :
( r2_hidden(X1,X2)
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| k5_lattices(X0) = X1
| ? [X2] :
( r2_hidden(X1,X2)
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f198]) ).
fof(f202,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,[],[f89]) ).
fof(f203,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,[],[f202]) ).
fof(f207,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f208,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f207]) ).
fof(f210,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f211,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f210]) ).
fof(f214,plain,
( v14_lattices(sK0)
& sK1 != k6_lattices(sK0)
& ! [X2] :
( ~ r2_hidden(sK1,X2)
| ~ r2_filter_2(sK0,X2)
| ~ m2_filter_2(X2,sK0) )
& m1_subset_1(sK1,u1_struct_0(sK0))
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f100]) ).
fof(f240,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,[],[f196]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| k5_lattices(X0) = X1
| ( r2_hidden(X1,sK27(X0,X1))
& v1_filter_0(sK27(X0,X1),X0)
& m1_filter_0(sK27(X0,X1),X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X2,sK27(X0,X1))],[f199]) ).
fof(f243,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,[],[f203]) ).
fof(f245,plain,
! [X0] :
( ( ( v14_lattices(X0)
| ~ v13_lattices(k1_lattice2(X0)) )
& ( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f208]) ).
fof(f246,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f214]) ).
fof(f247,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f214]) ).
fof(f248,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f214]) ).
fof(f249,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f214]) ).
fof(f250,plain,
! [X2] :
( ~ r2_filter_2(sK0,X2)
| ~ r2_hidden(sK1,X2)
| ~ m2_filter_2(X2,sK0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f251,plain,
sK1 != k6_lattices(sK0),
inference(cnf_transformation,[],[f214]) ).
fof(f252,plain,
v14_lattices(sK0),
inference(cnf_transformation,[],[f214]) ).
fof(f275,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k5_filter_2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f118]) ).
fof(f276,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,[],[f120]) ).
fof(f277,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,[],[f122]) ).
fof(f280,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m2_filter_2(k14_filter_2(X0,X1),X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f282,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f284,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f288,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f139]) ).
fof(f295,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f299,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f320,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f348,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f356,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f408,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,[],[f192]) ).
fof(f409,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f411,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f416,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| k5_lattices(X0) = X1
| m1_filter_0(sK27(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f417,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| k5_lattices(X0) = X1
| v1_filter_0(sK27(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f418,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| k5_lattices(X0) = X1
| r2_hidden(X1,sK27(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f421,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,[],[f243]) ).
fof(f426,plain,
! [X0] :
( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f429,plain,
! [X0] :
( ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f432,plain,
! [X0,X1] :
( ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| k5_lattices(X0) = X1
| m1_filter_0(sK27(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f416]) ).
fof(f433,plain,
! [X0,X1] :
( v1_filter_0(sK27(X0,X1),X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| k5_lattices(X0) = X1
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f417]) ).
fof(f434,plain,
! [X0,X1] :
( r2_hidden(X1,sK27(X0,X1))
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| k5_lattices(X0) = X1
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f418]) ).
fof(f435,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k6_lattices(sK0) = k5_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f429,f252]) ).
fof(f436,plain,
( ~ v10_lattices(sK0)
| k6_lattices(sK0) = k5_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f435,f248]) ).
fof(f437,plain,
( k6_lattices(sK0) = k5_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f436,f247]) ).
fof(f438,plain,
k6_lattices(sK0) = k5_lattices(k1_lattice2(sK0)),
inference(forward_subsumption_resolution,[],[f437,f246]) ).
fof(f439,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k5_filter_2(sK0,X0) = X0 ),
inference(resolution,[],[f275,f246]) ).
fof(f440,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| k5_filter_2(sK0,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f439,f248]) ).
fof(f441,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k5_filter_2(sK0,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f440,f247]) ).
fof(f442,plain,
sK1 = k5_filter_2(sK0,sK1),
inference(resolution,[],[f441,f249]) ).
fof(f452,plain,
! [X0,X1] :
( ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| k5_lattices(k1_lattice2(X0)) = X1
| m1_filter_0(sK27(k1_lattice2(X0),X1),k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(X0)))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f432,f426]) ).
fof(f453,plain,
! [X0,X1] :
( v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| k5_lattices(k1_lattice2(X0)) = X1
| m1_filter_0(sK27(k1_lattice2(X0),X1),k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(X0)))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f452,f348]) ).
fof(f454,plain,
! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| k5_lattices(k1_lattice2(X0)) = X1
| m1_filter_0(sK27(k1_lattice2(X0),X1),k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(X0)))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f453,f320]) ).
fof(f455,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(X0)))
| m1_filter_0(sK27(k1_lattice2(X0),X1),k1_lattice2(X0))
| k5_lattices(k1_lattice2(X0)) = X1
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f454,f282]) ).
fof(f458,plain,
! [X0] :
( v3_struct_0(sK0)
| m1_subset_1(k5_filter_2(sK0,X0),u1_struct_0(k1_lattice2(sK0)))
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(resolution,[],[f284,f247]) ).
fof(f459,plain,
! [X0] :
( m1_subset_1(k5_filter_2(sK0,X0),u1_struct_0(k1_lattice2(sK0)))
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f458,f248]) ).
fof(f460,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| m1_subset_1(k5_filter_2(sK0,X0),u1_struct_0(k1_lattice2(sK0))) ),
inference(forward_subsumption_resolution,[],[f459,f246]) ).
fof(f461,plain,
m1_subset_1(k5_filter_2(sK0,sK1),u1_struct_0(k1_lattice2(sK0))),
inference(resolution,[],[f460,f249]) ).
fof(f462,plain,
m1_subset_1(sK1,u1_struct_0(k1_lattice2(sK0))),
inference(forward_demodulation,[],[f461,f442]) ).
fof(f463,plain,
( m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| sK1 = k5_lattices(k1_lattice2(sK0))
| ~ v14_lattices(sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f462,f455]) ).
fof(f472,plain,
( m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| sK1 = k5_lattices(k1_lattice2(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f463,f252]) ).
fof(f473,plain,
( m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| sK1 = k5_lattices(k1_lattice2(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f472,f248]) ).
fof(f474,plain,
( m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| sK1 = k5_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f473,f247]) ).
fof(f475,plain,
( m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| sK1 = k5_lattices(k1_lattice2(sK0)) ),
inference(forward_subsumption_resolution,[],[f474,f246]) ).
fof(f476,plain,
( sK1 = k6_lattices(sK0)
| m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0)) ),
inference(forward_demodulation,[],[f475,f438]) ).
fof(f477,plain,
m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0)),
inference(forward_subsumption_resolution,[],[f476,f251]) ).
fof(f478,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)) = k14_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)) ),
inference(resolution,[],[f477,f408]) ).
fof(f479,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m2_filter_2(k14_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)),sK0) ),
inference(resolution,[],[f477,f280]) ).
fof(f480,plain,
( m1_filter_2(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0)) ),
inference(resolution,[],[f477,f411]) ).
fof(f482,definition,
( spl28_5
<=> l3_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_5])],[avatar_definition]) ).
fof(f483,plain,
( ~ l3_lattices(k1_lattice2(sK0))
| spl28_5 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f485,definition,
( spl28_6
<=> v10_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_6])],[avatar_definition]) ).
fof(f486,plain,
( ~ v10_lattices(k1_lattice2(sK0))
| spl28_6 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f488,definition,
( spl28_7
<=> v3_struct_0(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_7])],[avatar_definition]) ).
fof(f489,plain,
( v3_struct_0(k1_lattice2(sK0))
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f491,definition,
( spl28_8
<=> m1_filter_2(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_8])],[avatar_definition]) ).
fof(f492,plain,
( m1_filter_2(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| ~ spl28_8 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f493,plain,
( ~ spl28_5
| ~ spl28_6
| spl28_7
| spl28_8 ),
inference(avatar_split_clause,[],[f480,f491,f488,f485,f482]) ).
fof(f494,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m2_filter_2(k14_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)),sK0) ),
inference(forward_subsumption_resolution,[],[f479,f248]) ).
fof(f495,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)) = k14_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)) ),
inference(forward_subsumption_resolution,[],[f478,f248]) ).
fof(f496,plain,
( ~ l3_lattices(sK0)
| m2_filter_2(k14_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)),sK0) ),
inference(forward_subsumption_resolution,[],[f494,f247]) ).
fof(f497,plain,
( ~ l3_lattices(sK0)
| k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)) = k14_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)) ),
inference(forward_subsumption_resolution,[],[f495,f247]) ).
fof(f498,plain,
m2_filter_2(k14_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)),sK0),
inference(forward_subsumption_resolution,[],[f496,f246]) ).
fof(f499,plain,
k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)) = k14_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)),
inference(forward_subsumption_resolution,[],[f497,f246]) ).
fof(f500,plain,
m2_filter_2(k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)),sK0),
inference(superposition,[],[f498,f499]) ).
fof(f502,plain,
( ~ l3_lattices(sK0)
| spl28_5 ),
inference(resolution,[],[f483,f282]) ).
fof(f504,plain,
( $false
| spl28_5 ),
inference(forward_subsumption_resolution,[],[f502,f246]) ).
fof(f505,plain,
spl28_5,
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f506,plain,
! [X0] :
( v3_struct_0(sK0)
| k7_filter_2(sK0,X0) = k15_filter_2(sK0,X0)
| ~ l3_lattices(sK0)
| ~ m2_filter_2(X0,sK0) ),
inference(resolution,[],[f409,f247]) ).
fof(f507,plain,
! [X0] :
( k7_filter_2(sK0,X0) = k15_filter_2(sK0,X0)
| ~ l3_lattices(sK0)
| ~ m2_filter_2(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f506,f248]) ).
fof(f508,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| k7_filter_2(sK0,X0) = k15_filter_2(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f507,f246]) ).
fof(f510,plain,
k15_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))) = k7_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))),
inference(resolution,[],[f508,f500]) ).
fof(f516,plain,
( ~ v1_filter_0(k7_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))),k1_lattice2(sK0))
| r2_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)))
| ~ m2_filter_2(k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f421,f510]) ).
fof(f517,plain,
( ~ v1_filter_0(k7_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))),k1_lattice2(sK0))
| r2_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f516,f500]) ).
fof(f518,plain,
( ~ v1_filter_0(k7_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))),k1_lattice2(sK0))
| r2_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f517,f248]) ).
fof(f519,plain,
( ~ v1_filter_0(k7_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))),k1_lattice2(sK0))
| r2_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f518,f247]) ).
fof(f520,plain,
( ~ v1_filter_0(k7_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))),k1_lattice2(sK0))
| r2_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))) ),
inference(forward_subsumption_resolution,[],[f519,f246]) ).
fof(f522,definition,
( spl28_9
<=> r2_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))) ),
introduced(definition,[new_symbols(definition,[spl28_9])],[avatar_definition]) ).
fof(f523,plain,
( r2_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)))
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f525,definition,
( spl28_10
<=> v1_filter_0(k7_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))),k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_10])],[avatar_definition]) ).
fof(f526,plain,
( ~ v1_filter_0(k7_filter_2(sK0,k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))),k1_lattice2(sK0))
| spl28_10 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f527,plain,
( spl28_9
| ~ spl28_10 ),
inference(avatar_split_clause,[],[f520,f525,f522]) ).
fof(f530,plain,
( v3_struct_0(sK0)
| v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f348,f247]) ).
fof(f532,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f530,f248]) ).
fof(f533,plain,
( ~ l3_lattices(sK0)
| spl28_6 ),
inference(forward_subsumption_resolution,[],[f532,f486]) ).
fof(f534,plain,
( $false
| spl28_6 ),
inference(forward_subsumption_resolution,[],[f533,f246]) ).
fof(f535,plain,
spl28_6,
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f536,plain,
v10_lattices(k1_lattice2(sK0)),
inference(forward_subsumption_resolution,[],[f532,f246]) ).
fof(f543,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl28_7 ),
inference(resolution,[],[f489,f356]) ).
fof(f548,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl28_7 ),
inference(forward_subsumption_resolution,[],[f543,f248]) ).
fof(f551,plain,
( ~ l3_lattices(sK0)
| ~ spl28_7 ),
inference(forward_subsumption_resolution,[],[f548,f247]) ).
fof(f552,plain,
( $false
| ~ spl28_7 ),
inference(forward_subsumption_resolution,[],[f551,f246]) ).
fof(f553,plain,
~ spl28_7,
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f576,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f299,f295]) ).
fof(f577,plain,
! [X0,X1] :
( ~ m1_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(duplicate_literal_removal,[],[f576]) ).
fof(f578,plain,
( v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| m1_subset_1(sK27(k1_lattice2(sK0),sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ spl28_8 ),
inference(resolution,[],[f577,f492]) ).
fof(f579,plain,
( v3_struct_0(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| m1_subset_1(sK27(k1_lattice2(sK0),sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ spl28_8 ),
inference(forward_subsumption_resolution,[],[f578,f536]) ).
fof(f581,definition,
( spl28_15
<=> m1_subset_1(sK27(k1_lattice2(sK0),sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl28_15])],[avatar_definition]) ).
fof(f582,plain,
( m1_subset_1(sK27(k1_lattice2(sK0),sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f583,plain,
( spl28_15
| ~ spl28_5
| spl28_7
| ~ spl28_8 ),
inference(avatar_split_clause,[],[f579,f491,f488,f482,f581]) ).
fof(f584,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl28_15 ),
inference(resolution,[],[f582,f288]) ).
fof(f585,plain,
( sK27(k1_lattice2(sK0),sK1) = k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl28_15 ),
inference(resolution,[],[f582,f277]) ).
fof(f592,plain,
( sK27(k1_lattice2(sK0),sK1) = k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f585,f248]) ).
fof(f593,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f584,f248]) ).
fof(f602,plain,
( sK27(k1_lattice2(sK0),sK1) = k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))
| ~ l3_lattices(sK0)
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f592,f247]) ).
fof(f603,plain,
( ~ l3_lattices(sK0)
| m1_subset_1(k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f593,f247]) ).
fof(f604,plain,
( sK27(k1_lattice2(sK0),sK1) = k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f602,f246]) ).
fof(f605,plain,
( m1_subset_1(k8_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f603,f246]) ).
fof(f606,plain,
( m1_subset_1(sK27(k1_lattice2(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl28_15 ),
inference(forward_demodulation,[],[f605,f604]) ).
fof(f609,plain,
( sK27(k1_lattice2(sK0),sK1) = k7_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl28_15 ),
inference(resolution,[],[f606,f276]) ).
fof(f612,plain,
( sK27(k1_lattice2(sK0),sK1) = k7_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f609,f248]) ).
fof(f614,plain,
( sK27(k1_lattice2(sK0),sK1) = k7_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))
| ~ l3_lattices(sK0)
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f612,f247]) ).
fof(f616,plain,
( sK27(k1_lattice2(sK0),sK1) = k7_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f614,f246]) ).
fof(f619,plain,
( ~ v1_filter_0(k7_filter_2(sK0,sK27(k1_lattice2(sK0),sK1)),k1_lattice2(sK0))
| spl28_10
| ~ spl28_15 ),
inference(superposition,[],[f526,f604]) ).
fof(f621,plain,
( m2_filter_2(sK27(k1_lattice2(sK0),sK1),sK0)
| ~ spl28_15 ),
inference(superposition,[],[f500,f604]) ).
fof(f623,plain,
( ~ v1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| spl28_10
| ~ spl28_15 ),
inference(forward_demodulation,[],[f619,f616]) ).
fof(f626,plain,
( ~ v10_lattices(k1_lattice2(sK0))
| ~ v13_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| sK1 = k5_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(k1_lattice2(sK0)))
| spl28_10
| ~ spl28_15 ),
inference(resolution,[],[f623,f433]) ).
fof(f627,plain,
( ~ v13_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| sK1 = k5_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(k1_lattice2(sK0)))
| spl28_10
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f626,f536]) ).
fof(f628,plain,
( ~ v13_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| sK1 = k5_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| spl28_10
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f627,f462]) ).
fof(f629,plain,
( sK1 = k6_lattices(sK0)
| ~ v13_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| spl28_10
| ~ spl28_15 ),
inference(forward_demodulation,[],[f628,f438]) ).
fof(f630,plain,
( ~ v13_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| spl28_10
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f629,f251]) ).
fof(f632,definition,
( spl28_18
<=> v13_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_18])],[avatar_definition]) ).
fof(f633,plain,
( ~ v13_lattices(k1_lattice2(sK0))
| spl28_18 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f634,plain,
( spl28_7
| ~ spl28_5
| ~ spl28_18
| spl28_10
| ~ spl28_15 ),
inference(avatar_split_clause,[],[f630,f581,f525,f632,f482,f488]) ).
fof(f637,plain,
( ~ v14_lattices(sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl28_18 ),
inference(resolution,[],[f633,f426]) ).
fof(f639,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl28_18 ),
inference(forward_subsumption_resolution,[],[f637,f252]) ).
fof(f640,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl28_18 ),
inference(forward_subsumption_resolution,[],[f639,f248]) ).
fof(f641,plain,
( ~ l3_lattices(sK0)
| spl28_18 ),
inference(forward_subsumption_resolution,[],[f640,f247]) ).
fof(f642,plain,
( $false
| spl28_18 ),
inference(forward_subsumption_resolution,[],[f641,f246]) ).
fof(f643,plain,
spl28_18,
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f644,plain,
( r2_filter_2(sK0,sK27(k1_lattice2(sK0),sK1))
| ~ spl28_9
| ~ spl28_15 ),
inference(forward_demodulation,[],[f523,f604]) ).
fof(f646,plain,
( ~ r2_hidden(sK1,sK27(k1_lattice2(sK0),sK1))
| ~ m2_filter_2(sK27(k1_lattice2(sK0),sK1),sK0)
| ~ spl28_9
| ~ spl28_15 ),
inference(resolution,[],[f644,f250]) ).
fof(f647,plain,
( ~ r2_hidden(sK1,sK27(k1_lattice2(sK0),sK1))
| ~ spl28_9
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f646,f621]) ).
fof(f648,plain,
( ~ v10_lattices(k1_lattice2(sK0))
| ~ v13_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| sK1 = k5_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(k1_lattice2(sK0)))
| ~ spl28_9
| ~ spl28_15 ),
inference(resolution,[],[f647,f434]) ).
fof(f649,plain,
( ~ v13_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| sK1 = k5_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(k1_lattice2(sK0)))
| ~ spl28_9
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f648,f536]) ).
fof(f650,plain,
( ~ v13_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| sK1 = k5_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ spl28_9
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f649,f462]) ).
fof(f651,plain,
( sK1 = k6_lattices(sK0)
| ~ v13_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ spl28_9
| ~ spl28_15 ),
inference(forward_demodulation,[],[f650,f438]) ).
fof(f652,plain,
( ~ v13_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ spl28_9
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f651,f251]) ).
fof(f653,plain,
( spl28_7
| ~ spl28_5
| ~ spl28_18
| ~ spl28_9
| ~ spl28_15 ),
inference(avatar_split_clause,[],[f652,f581,f522,f632,f482,f488]) ).
cnf(s3,plain,
( ~ spl28_5
| ~ spl28_6
| spl28_7
| spl28_8 ),
inference(sat_conversion,[],[f493]) ).
cnf(s5,plain,
spl28_5,
inference(sat_conversion,[],[f505]) ).
cnf(s6,plain,
( spl28_9
| ~ spl28_10 ),
inference(sat_conversion,[],[f527]) ).
cnf(s8,plain,
spl28_6,
inference(sat_conversion,[],[f535]) ).
cnf(s12,plain,
~ spl28_7,
inference(sat_conversion,[],[f553]) ).
cnf(s17,plain,
( ~ spl28_5
| spl28_7
| ~ spl28_8
| spl28_15 ),
inference(sat_conversion,[],[f583]) ).
cnf(s20,plain,
( ~ spl28_5
| spl28_7
| spl28_10
| ~ spl28_15
| ~ spl28_18 ),
inference(sat_conversion,[],[f634]) ).
cnf(s22,plain,
spl28_18,
inference(sat_conversion,[],[f643]) ).
cnf(s23,plain,
( ~ spl28_5
| spl28_7
| ~ spl28_9
| ~ spl28_15
| ~ spl28_18 ),
inference(sat_conversion,[],[f653]) ).
cnf(s24,plain,
( ~ spl28_5
| spl28_7
| spl28_10
| ~ spl28_15 ),
inference(rat,[],[s20,s22]) ).
cnf(s29,plain,
spl28_8,
inference(rat,[],[s3,s12,s8,s5]) ).
cnf(s30,plain,
spl28_15,
inference(rat,[],[s17,s5,s12,s29]) ).
cnf(s33,plain,
~ spl28_9,
inference(rat,[],[s23,s22,s5,s12,s30]) ).
cnf(s34,plain,
spl28_10,
inference(rat,[],[s24,s5,s12,s30]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s6,s34,s33]) ).
fof(f654,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT309+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:27:41 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 6.74/1.95 % (3035605)Detected formulas, will run a generic FOF schedule.
% 6.74/1.95 % (3035614)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2987725317:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.74/1.95 % (3035614)Instruction limit reached!
% 6.74/1.95 % (3035614)------------------------------
% 6.74/1.95 % (3035614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035614)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035614)Termination reason: Instruction limit
% 6.74/1.95 % (3035614)Termination phase: Saturation
% 6.74/1.95 % (3035614)Time elapsed: 0.039 s
% 6.74/1.95 % (3035614)Peak memory usage: 88 MB
% 6.74/1.95 % (3035614)Instructions burned: 120 (million)
% 6.74/1.95 % (3035615)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=174023811:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.74/1.95 % (3035610)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=3098245431:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.74/1.95 % (3035612)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=283016643:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.74/1.95 % (3035613)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2683908830:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.74/1.95 % (3035611)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=3527204427:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.74/1.95 % (3035613)Refutation not found, incomplete strategy
% 6.74/1.95 % (3035613)------------------------------
% 6.74/1.95 % (3035613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035613)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035613)Termination reason: Refutation not found, incomplete strategy
% 6.74/1.95 % (3035613)Time elapsed: 0.002 s
% 6.74/1.95 % (3035613)Peak memory usage: 88 MB
% 6.74/1.95 % (3035613)Instructions burned: 2 (million)
% 6.74/1.95 % (3035616)dis-21_1_sil=8000:lcm=predicate:random_seed=165383495: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)
% 6.74/1.95 % (3035616)Instruction limit reached!
% 6.74/1.95 % (3035616)------------------------------
% 6.74/1.95 % (3035616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035616)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035616)Termination reason: Instruction limit
% 6.74/1.95 % (3035616)Termination phase: Saturation
% 6.74/1.95 % (3035616)Time elapsed: 0.071 s
% 6.74/1.95 % (3035616)Peak memory usage: 90 MB
% 6.74/1.95 % (3035616)Instructions burned: 130 (million)
% 6.74/1.95 % (3035619)lrs+10_1_sil=8000:sp=occurrence:random_seed=2292178281:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.74/1.95 % (3035615)Instruction limit reached!
% 6.74/1.95 % (3035615)------------------------------
% 6.74/1.95 % (3035615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035615)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035615)Termination reason: Instruction limit
% 6.74/1.95 % (3035615)Termination phase: Saturation
% 6.74/1.95 % (3035615)Time elapsed: 0.097 s
% 6.74/1.95 % (3035615)Peak memory usage: 90 MB
% 6.74/1.95 % (3035615)Instructions burned: 140 (million)
% 6.74/1.95 % (3035619)Instruction limit reached!
% 6.74/1.95 % (3035619)------------------------------
% 6.74/1.95 % (3035619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035619)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035619)Termination reason: Instruction limit
% 6.74/1.95 % (3035619)Termination phase: Saturation
% 6.74/1.95 % (3035619)Time elapsed: 0.095 s
% 6.74/1.95 % (3035619)Peak memory usage: 92 MB
% 6.74/1.95 % (3035619)Instructions burned: 285 (million)
% 6.74/1.95 % (3035625)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2658157095:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.74/1.95 % (3035625)Refutation not found, incomplete strategy
% 6.74/1.95 % (3035625)------------------------------
% 6.74/1.95 % (3035625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035625)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035625)Termination reason: Refutation not found, incomplete strategy
% 6.74/1.95 % (3035625)Time elapsed: 0.004 s
% 6.74/1.95 % (3035625)Peak memory usage: 88 MB
% 6.74/1.95 % (3035625)Instructions burned: 4 (million)
% 6.74/1.95 % (3035627)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3047683758:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.74/1.95 % (3035613)------------------------------
% 6.74/1.95 % (3035613)------------------------------
% 6.74/1.95 % (3035628)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=3111076851:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.74/1.95 % (3035628)Instruction limit reached!
% 6.74/1.95 % (3035628)------------------------------
% 6.74/1.95 % (3035628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035628)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035628)Termination reason: Instruction limit
% 6.74/1.95 % (3035628)Termination phase: Saturation
% 6.74/1.95 % (3035628)Time elapsed: 0.079 s
% 6.74/1.95 % (3035628)Peak memory usage: 94 MB
% 6.74/1.95 % (3035628)Instructions burned: 250 (million)
% 6.74/1.95 % (3035631)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3720465141:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.74/1.95 % (3035631)Refutation not found, incomplete strategy
% 6.74/1.95 % (3035631)------------------------------
% 6.74/1.95 % (3035631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035631)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035631)Termination reason: Refutation not found, incomplete strategy
% 6.74/1.95 % (3035631)Time elapsed: 0.004 s
% 6.74/1.95 % (3035631)Peak memory usage: 88 MB
% 6.74/1.95 % (3035631)Instructions burned: 5 (million)
% 6.74/1.95 % (3035633)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1729114976:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.74/1.95 % (3035625)------------------------------
% 6.74/1.95 % (3035625)------------------------------
% 6.74/1.95 % (3035627)Instruction limit reached!
% 6.74/1.95 % (3035627)------------------------------
% 6.74/1.95 % (3035627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035627)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035627)Termination reason: Instruction limit
% 6.74/1.95 % (3035627)Termination phase: Saturation
% 6.74/1.95 % (3035627)Time elapsed: 0.222 s
% 6.74/1.95 % (3035627)Peak memory usage: 92 MB
% 6.74/1.95 % (3035627)Instructions burned: 325 (million)
% 6.74/1.95 % (3035636)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3133957250:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.74/1.95 % (3035637)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1721635207:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.74/1.95 % (3035631)------------------------------
% 6.74/1.95 % (3035631)------------------------------
% 6.74/1.95 % (3035636)Instruction limit reached!
% 6.74/1.95 % (3035636)------------------------------
% 6.74/1.95 % (3035636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035636)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035636)Termination reason: Instruction limit
% 6.74/1.95 % (3035636)Termination phase: Saturation
% 6.74/1.95 % (3035636)Time elapsed: 0.079 s
% 6.74/1.95 % (3035636)Peak memory usage: 91 MB
% 6.74/1.95 % (3035636)Instructions burned: 114 (million)
% 6.74/1.95 % (3035637)Instruction limit reached!
% 6.74/1.95 % (3035637)------------------------------
% 6.74/1.95 % (3035637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035637)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035637)Termination reason: Instruction limit
% 6.74/1.95 % (3035637)Termination phase: Saturation
% 6.74/1.95 % (3035637)Time elapsed: 0.064 s
% 6.74/1.95 % (3035637)Peak memory usage: 89 MB
% 6.74/1.95 % (3035637)Instructions burned: 127 (million)
% 6.74/1.95 % (3035611)First to succeed.
% 6.74/1.95 % (3035611)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3035605"
% 6.74/1.95 % (3035610)Also succeeded, but the first one will report.
% 6.74/1.95 % (3035640)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3752519047:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.74/1.95 % (3035642)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1707131690:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.74/1.95 % (3035641)lrs+10_1_sil=8000:sp=occurrence:random_seed=1291085395:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.74/1.95 % (3035642)Refutation not found, incomplete strategy
% 6.74/1.95 % (3035642)------------------------------
% 6.74/1.95 % (3035642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035642)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035642)Termination reason: Refutation not found, incomplete strategy
% 6.74/1.95 % (3035642)Time elapsed: 0.005 s
% 6.74/1.95 % (3035642)Peak memory usage: 88 MB
% 6.74/1.95 % (3035642)Instructions burned: 7 (million)
% 6.74/1.95 % (3035640)Instruction limit reached!
% 6.74/1.95 % (3035640)------------------------------
% 6.74/1.95 % (3035640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.95 % (3035640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.95 % (3035640)CaDiCaL version: 2.1.3
% 6.74/1.95 % (3035640)Termination reason: Instruction limit
% 6.74/1.95 % (3035640)Termination phase: Saturation
% 6.74/1.95 % (3035640)Time elapsed: 0.070 s
% 6.74/1.95 % (3035640)Peak memory usage: 89 MB
% 6.74/1.95 % (3035640)Instructions burned: 114 (million)
% 6.74/1.95 % (3035633)Also succeeded, but the first one will report.
% 6.74/1.95 % (3035612)Also succeeded, but the first one will report.
% 6.74/1.95 % (3035611)Refutation found. Thanks to Tanya!
% 6.74/1.95 % SZS status Theorem for theBenchmark
% 6.74/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.14/2.04 % (3035611)------------------------------
% 8.14/2.04 % (3035611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/2.04 % (3035611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/2.04 % (3035611)CaDiCaL version: 2.1.3
% 8.14/2.04 % (3035611)Termination reason: Refutation
% 8.14/2.04 % (3035611)Time elapsed: 0.667 s
% 8.14/2.04 % (3035611)Peak memory usage: 130 MB
% 8.14/2.04 % (3035611)Instructions burned: 996 (million)
% 8.14/2.04 % (3035611)------------------------------
% 8.14/2.04 % (3035611)------------------------------
% 8.14/2.04 % (3035605)Success in time 1.086 s
% 8.14/2.04 % Vampire exiting
%------------------------------------------------------------------------------