%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT322+3 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:55 AM UTC 2026
% Result : Theorem 14.17s 3.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 36
% Syntax : Number of formulae : 312 ( 25 unt; 17 def)
% Number of atoms : 1631 ( 87 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 2221 ( 902 ~;1070 |; 177 &)
% ( 40 <=>; 30 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 18 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 167 ( 0 sgn 156 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8589,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f8636,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
<=> v1_filter_0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_filter_0) ).
fof(f9358,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(f9363,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(f9391,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f9463,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(f12317,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(f13531,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(f13532,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f13561,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f13562,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(f13600,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f13601,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(f13612,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f13619,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(f13633,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( v1_filter_2(X1,X0)
<=> v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_filter_2) ).
fof(f13646,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_filter_2) ).
fof(f13651,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> ( X1 != u1_struct_0(X0)
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_filter_2) ).
fof(f13652,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) )
<=> r2_filter_2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_filter_2) ).
fof(f13653,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) )
<=> r2_filter_2(X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f13652]) ).
fof(f13734,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,[],[f13531]) ).
fof(f13735,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,[],[f13734]) ).
fof(f13736,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13532]) ).
fof(f13737,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13736]) ).
fof(f13794,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f13561]) ).
fof(f13795,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f13794]) ).
fof(f13796,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,[],[f13562]) ).
fof(f13797,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,[],[f13796]) ).
fof(f13859,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13600]) ).
fof(f13860,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13859]) ).
fof(f13861,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,[],[f13601]) ).
fof(f13862,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,[],[f13861]) ).
fof(f13883,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13612]) ).
fof(f13884,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13883]) ).
fof(f13897,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,[],[f13619]) ).
fof(f13898,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,[],[f13897]) ).
fof(f13925,plain,
! [X0] :
( ! [X1] :
( ( v1_filter_2(X1,X0)
<=> v2_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,[],[f13633]) ).
fof(f13926,plain,
! [X0] :
( ! [X1] :
( ( v1_filter_2(X1,X0)
<=> v2_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,[],[f13925]) ).
fof(f13951,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13646]) ).
fof(f13952,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13951]) ).
fof(f13961,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> ( X1 != u1_struct_0(X0)
& ! [X2] :
( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13651]) ).
fof(f13962,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> ( X1 != u1_struct_0(X0)
& ! [X2] :
( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13961]) ).
fof(f13963,plain,
? [X0] :
( ? [X1] :
( ( ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) )
<~> r2_filter_2(X0,X1) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f13653]) ).
fof(f13964,plain,
? [X0] :
( ? [X1] :
( ( ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) )
<~> r2_filter_2(X0,X1) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f13963]) ).
fof(f13975,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,[],[f12317]) ).
fof(f13976,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,[],[f13975]) ).
fof(f14013,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8589]) ).
fof(f14014,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14013]) ).
fof(f14079,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9391]) ).
fof(f14080,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14079]) ).
fof(f14092,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f14095,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,[],[f9363]) ).
fof(f14096,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,[],[f14095]) ).
fof(f14097,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f14098,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14097]) ).
fof(f14346,plain,
! [X0] :
( ! [X1] :
( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
<=> v1_filter_0(X1,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8636]) ).
fof(f14347,plain,
! [X0] :
( ! [X1] :
( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
<=> v1_filter_0(X1,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14346]) ).
fof(f14387,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,[],[f13735]) ).
fof(f14407,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13860]) ).
fof(f14418,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,[],[f13898]) ).
fof(f14429,plain,
! [X0] :
( ! [X1] :
( ( ( v1_filter_2(X1,X0)
| ~ v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ v1_filter_2(X1,X0) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13926]) ).
fof(f14433,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13952]) ).
fof(f14434,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14433]) ).
fof(f14435,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| u1_struct_0(X0) = X1
| ? [X2] :
( ~ r2_hidden(X2,X1)
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ( X1 != u1_struct_0(X0)
& ! [X2] :
( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13962]) ).
fof(f14436,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| u1_struct_0(X0) = X1
| ? [X2] :
( ~ r2_hidden(X2,X1)
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ( X1 != u1_struct_0(X0)
& ! [X2] :
( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14435]) ).
fof(f14437,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| u1_struct_0(X0) = X1
| ? [X2] :
( ~ r2_hidden(X2,X1)
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ( X1 != u1_struct_0(X0)
& ! [X3] :
( r2_hidden(X3,X1)
| r2_hidden(k7_lattices(X0,X3),X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f14436]) ).
fof(f14438,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| u1_struct_0(X0) = X1
| ( ~ r2_hidden(sK24(X0,X1),X1)
& ~ r2_hidden(k7_lattices(X0,sK24(X0,X1)),X1)
& m1_subset_1(sK24(X0,X1),u1_struct_0(X0)) ) )
& ( ( X1 != u1_struct_0(X0)
& ! [X3] :
( r2_hidden(X3,X1)
| r2_hidden(k7_lattices(X0,X3),X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X2,sK24(X0,X1))],[f14437]) ).
fof(f14439,plain,
? [X0] :
( ? [X1] :
( ( ~ r2_filter_2(X0,X1)
| k17_filter_2(X0) = X1
| ~ v1_filter_2(X1,X0) )
& ( r2_filter_2(X0,X1)
| ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) ) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(nnf_transformation,[],[f13964]) ).
fof(f14440,plain,
? [X0] :
( ? [X1] :
( ( ~ r2_filter_2(X0,X1)
| k17_filter_2(X0) = X1
| ~ v1_filter_2(X1,X0) )
& ( r2_filter_2(X0,X1)
| ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) ) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f14439]) ).
fof(f14441,plain,
( ( ~ r2_filter_2(sK25,sK26)
| sK26 = k17_filter_2(sK25)
| ~ v1_filter_2(sK26,sK25) )
& ( r2_filter_2(sK25,sK26)
| ( sK26 != k17_filter_2(sK25)
& v1_filter_2(sK26,sK25) ) )
& m2_filter_2(sK26,sK25)
& ~ v3_struct_0(sK25)
& v10_lattices(sK25)
& v17_lattices(sK25)
& l3_lattices(sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X0,sK25),skolemize(X1,sK26)],[f14440]) ).
fof(f14573,plain,
! [X0] :
( ! [X1] :
( ( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
| ~ v1_filter_0(X1,X0) )
& ( v1_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| ~ v2_filter_0(X1,X0) ) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f14347]) ).
fof(f14574,plain,
! [X0] :
( ! [X1] :
( ( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
| ~ v1_filter_0(X1,X0) )
& ( v1_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| ~ v2_filter_0(X1,X0) ) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14573]) ).
fof(f14594,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,[],[f14387]) ).
fof(f14596,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13737]) ).
fof(f14629,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f13795]) ).
fof(f14630,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f13797]) ).
fof(f14697,plain,
! [X0,X1] :
( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14407]) ).
fof(f14699,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(cnf_transformation,[],[f13862]) ).
fof(f14738,plain,
! [X0] :
( u1_struct_0(X0) = k17_filter_2(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13884]) ).
fof(f14754,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,[],[f14418]) ).
fof(f14755,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(cnf_transformation,[],[f14418]) ).
fof(f14791,plain,
! [X0,X1] :
( v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ v1_filter_2(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14429]) ).
fof(f14792,plain,
! [X0,X1] :
( v1_filter_2(X1,X0)
| ~ v2_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(cnf_transformation,[],[f14429]) ).
fof(f14825,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14434]) ).
fof(f14853,plain,
! [X0,X1] :
( u1_struct_0(X0) != X1
| ~ r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14438]) ).
fof(f14857,plain,
l3_lattices(sK25),
inference(cnf_transformation,[],[f14441]) ).
fof(f14858,plain,
v17_lattices(sK25),
inference(cnf_transformation,[],[f14441]) ).
fof(f14859,plain,
v10_lattices(sK25),
inference(cnf_transformation,[],[f14441]) ).
fof(f14860,plain,
~ v3_struct_0(sK25),
inference(cnf_transformation,[],[f14441]) ).
fof(f14861,plain,
m2_filter_2(sK26,sK25),
inference(cnf_transformation,[],[f14441]) ).
fof(f14862,plain,
( r2_filter_2(sK25,sK26)
| v1_filter_2(sK26,sK25) ),
inference(cnf_transformation,[],[f14441]) ).
fof(f14863,plain,
( r2_filter_2(sK25,sK26)
| sK26 != k17_filter_2(sK25) ),
inference(cnf_transformation,[],[f14441]) ).
fof(f14864,plain,
( ~ r2_filter_2(sK25,sK26)
| sK26 = k17_filter_2(sK25)
| ~ v1_filter_2(sK26,sK25) ),
inference(cnf_transformation,[],[f14441]) ).
fof(f14883,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13976]) ).
fof(f14919,plain,
! [X0] :
( u1_struct_0(X0) = k1_filter_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14014]) ).
fof(f14982,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14080]) ).
fof(f15003,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14092]) ).
fof(f15006,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14096]) ).
fof(f15016,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14098]) ).
fof(f15413,plain,
! [X0,X1] :
( v1_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| ~ v2_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14574]) ).
fof(f15414,plain,
! [X0,X1] :
( v2_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14574]) ).
fof(f15568,plain,
! [X0] :
( ~ r2_filter_2(X0,u1_struct_0(X0))
| ~ m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f14853]) ).
fof(f15720,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f14825]) ).
fof(f15757,definition,
( spl163_1
<=> v3_struct_0(sK25) ),
introduced(definition,[new_symbols(definition,[spl163_1])],[avatar_definition]) ).
fof(f15759,plain,
( ~ v3_struct_0(sK25)
| spl163_1 ),
inference(avatar_component_clause,[],[f15757]) ).
fof(f15760,plain,
~ spl163_1,
inference(avatar_split_clause,[],[f14860,f15757]) ).
fof(f15762,definition,
( spl163_2
<=> sK26 = k17_filter_2(sK25) ),
introduced(definition,[new_symbols(definition,[spl163_2])],[avatar_definition]) ).
fof(f15763,plain,
( sK26 = k17_filter_2(sK25)
| ~ spl163_2 ),
inference(avatar_component_clause,[],[f15762]) ).
fof(f15764,plain,
( sK26 != k17_filter_2(sK25)
| spl163_2 ),
inference(avatar_component_clause,[],[f15762]) ).
fof(f15766,definition,
( spl163_3
<=> r2_filter_2(sK25,sK26) ),
introduced(definition,[new_symbols(definition,[spl163_3])],[avatar_definition]) ).
fof(f15768,plain,
( r2_filter_2(sK25,sK26)
| ~ spl163_3 ),
inference(avatar_component_clause,[],[f15766]) ).
fof(f15769,plain,
( ~ spl163_2
| spl163_3 ),
inference(avatar_split_clause,[],[f14863,f15766,f15762]) ).
fof(f15770,plain,
( ~ r2_filter_2(sK25,sK26)
| ~ v1_filter_2(sK26,sK25)
| spl163_2 ),
inference(backward_subsumption_resolution,[],[f14864,f15764]) ).
fof(f15772,definition,
( spl163_4
<=> v1_filter_2(sK26,sK25) ),
introduced(definition,[new_symbols(definition,[spl163_4])],[avatar_definition]) ).
fof(f15773,plain,
( ~ v1_filter_2(sK26,sK25)
| spl163_4 ),
inference(avatar_component_clause,[],[f15772]) ).
fof(f15774,plain,
( v1_filter_2(sK26,sK25)
| ~ spl163_4 ),
inference(avatar_component_clause,[],[f15772]) ).
fof(f15775,plain,
( spl163_4
| spl163_3 ),
inference(avatar_split_clause,[],[f14862,f15766,f15772]) ).
fof(f15776,plain,
( ~ r2_filter_2(sK25,sK26)
| spl163_2
| ~ spl163_4 ),
inference(backward_subsumption_resolution,[],[f15770,f15774]) ).
fof(f15790,definition,
( spl163_5
<=> l3_lattices(sK25) ),
introduced(definition,[new_symbols(definition,[spl163_5])],[avatar_definition]) ).
fof(f15792,plain,
( l3_lattices(sK25)
| ~ spl163_5 ),
inference(avatar_component_clause,[],[f15790]) ).
fof(f15793,plain,
spl163_5,
inference(avatar_split_clause,[],[f14857,f15790]) ).
fof(f15795,definition,
( spl163_6
<=> v10_lattices(sK25) ),
introduced(definition,[new_symbols(definition,[spl163_6])],[avatar_definition]) ).
fof(f15797,plain,
( v10_lattices(sK25)
| ~ spl163_6 ),
inference(avatar_component_clause,[],[f15795]) ).
fof(f15798,plain,
spl163_6,
inference(avatar_split_clause,[],[f14859,f15795]) ).
fof(f15799,plain,
( sK26 != u1_struct_0(sK25)
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_2 ),
inference(superposition,[],[f15764,f14738]) ).
fof(f15800,plain,
( sK26 != u1_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| spl163_2 ),
inference(forward_subsumption_resolution,[],[f15799,f15759]) ).
fof(f15801,plain,
( sK26 != u1_struct_0(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| spl163_2
| ~ spl163_6 ),
inference(forward_subsumption_resolution,[],[f15800,f15797]) ).
fof(f15802,plain,
( sK26 != u1_struct_0(sK25)
| spl163_1
| spl163_2
| ~ spl163_5
| ~ spl163_6 ),
inference(forward_subsumption_resolution,[],[f15801,f15792]) ).
fof(f16107,plain,
( v10_lattices(k1_lattice2(sK25))
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1 ),
inference(resolution,[],[f15759,f15006]) ).
fof(f16117,plain,
( ~ v3_struct_0(k1_lattice2(sK25))
| ~ l3_lattices(sK25)
| spl163_1 ),
inference(resolution,[],[f15759,f15016]) ).
fof(f16467,plain,
( v17_lattices(k1_lattice2(sK25))
| ~ v10_lattices(sK25)
| ~ v17_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1 ),
inference(resolution,[],[f15759,f15720]) ).
fof(f16551,plain,
( v17_lattices(k1_lattice2(sK25))
| ~ v17_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_6 ),
inference(forward_subsumption_resolution,[],[f16467,f15797]) ).
fof(f16882,plain,
( ~ v3_struct_0(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5 ),
inference(forward_subsumption_resolution,[],[f16117,f15792]) ).
fof(f16890,plain,
( v10_lattices(k1_lattice2(sK25))
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_6 ),
inference(forward_subsumption_resolution,[],[f16107,f15797]) ).
fof(f17233,plain,
( v17_lattices(k1_lattice2(sK25))
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_6 ),
inference(forward_subsumption_resolution,[],[f16551,f14858]) ).
fof(f17502,plain,
( v10_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6 ),
inference(forward_subsumption_resolution,[],[f16890,f15792]) ).
fof(f17805,plain,
( v17_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6 ),
inference(forward_subsumption_resolution,[],[f17233,f15792]) ).
fof(f18164,definition,
( spl163_7
<=> m2_filter_2(sK26,sK25) ),
introduced(definition,[new_symbols(definition,[spl163_7])],[avatar_definition]) ).
fof(f18166,plain,
( m2_filter_2(sK26,sK25)
| ~ spl163_7 ),
inference(avatar_component_clause,[],[f18164]) ).
fof(f18167,plain,
spl163_7,
inference(avatar_split_clause,[],[f14861,f18164]) ).
fof(f18168,plain,
( m2_lattice4(sK26,sK25)
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_7 ),
inference(resolution,[],[f18166,f14596]) ).
fof(f18170,plain,
( m1_filter_2(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_7 ),
inference(resolution,[],[f18166,f14629]) ).
fof(f18171,plain,
( k15_filter_2(sK25,sK26) = k7_filter_2(sK25,sK26)
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_7 ),
inference(resolution,[],[f18166,f14630]) ).
fof(f18180,plain,
( m1_filter_2(sK26,k1_lattice2(sK25))
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_7 ),
inference(resolution,[],[f18166,f14697]) ).
fof(f18194,plain,
( v1_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ r2_filter_2(sK25,sK26)
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_7 ),
inference(resolution,[],[f18166,f14754]) ).
fof(f18195,plain,
( r2_filter_2(sK25,sK26)
| ~ v1_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_7 ),
inference(resolution,[],[f18166,f14755]) ).
fof(f18213,plain,
( v2_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ v1_filter_2(sK26,sK25)
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_7 ),
inference(resolution,[],[f18166,f14791]) ).
fof(f18214,plain,
( v1_filter_2(sK26,sK25)
| ~ v2_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_7 ),
inference(resolution,[],[f18166,f14792]) ).
fof(f18255,plain,
( ~ v1_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_2
| ~ spl163_4
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18195,f15776]) ).
fof(f18268,plain,
( m1_filter_2(sK26,k1_lattice2(sK25))
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18180,f15759]) ).
fof(f18276,plain,
( k15_filter_2(sK25,sK26) = k7_filter_2(sK25,sK26)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18171,f15759]) ).
fof(f18277,plain,
( m1_filter_2(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18170,f15759]) ).
fof(f18279,plain,
( m2_lattice4(sK26,sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18168,f15759]) ).
fof(f18305,plain,
( ~ v1_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| spl163_2
| ~ spl163_4
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18255,f15759]) ).
fof(f18318,plain,
( m1_filter_2(sK26,k1_lattice2(sK25))
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18268,f15797]) ).
fof(f18326,plain,
( k15_filter_2(sK25,sK26) = k7_filter_2(sK25,sK26)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18276,f15797]) ).
fof(f18327,plain,
( m1_filter_2(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18277,f15797]) ).
fof(f18329,plain,
( m2_lattice4(sK26,sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18279,f15797]) ).
fof(f18355,plain,
( ~ v1_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ l3_lattices(sK25)
| spl163_1
| spl163_2
| ~ spl163_4
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18305,f15797]) ).
fof(f18368,plain,
( m1_filter_2(sK26,k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18318,f15792]) ).
fof(f18376,plain,
( k15_filter_2(sK25,sK26) = k7_filter_2(sK25,sK26)
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18326,f15792]) ).
fof(f18377,plain,
( m1_filter_2(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18327,f15792]) ).
fof(f18379,plain,
( m2_lattice4(sK26,sK25)
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18329,f15792]) ).
fof(f18393,plain,
( ~ v1_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_1
| spl163_2
| ~ spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18355,f15792]) ).
fof(f18409,plain,
( m1_filter_2(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_demodulation,[],[f18377,f18376]) ).
fof(f18418,plain,
( ~ v1_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_1
| spl163_2
| ~ spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_demodulation,[],[f18393,f18376]) ).
fof(f18432,definition,
( spl163_8
<=> v17_lattices(sK25) ),
introduced(definition,[new_symbols(definition,[spl163_8])],[avatar_definition]) ).
fof(f18434,plain,
( v17_lattices(sK25)
| ~ spl163_8 ),
inference(avatar_component_clause,[],[f18432]) ).
fof(f18435,plain,
spl163_8,
inference(avatar_split_clause,[],[f14858,f18432]) ).
fof(f19560,plain,
( l3_lattices(k1_lattice2(sK25))
| ~ spl163_5 ),
inference(resolution,[],[f15792,f15003]) ).
fof(f20252,definition,
( spl163_11
<=> v1_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25)) ),
introduced(definition,[new_symbols(definition,[spl163_11])],[avatar_definition]) ).
fof(f20253,plain,
( v1_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ spl163_11 ),
inference(avatar_component_clause,[],[f20252]) ).
fof(f20254,plain,
( ~ v1_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_11 ),
inference(avatar_component_clause,[],[f20252]) ).
fof(f20255,plain,
( ~ spl163_11
| spl163_1
| spl163_2
| ~ spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(avatar_split_clause,[],[f18418,f18164,f15795,f15790,f15772,f15762,f15757,f20252]) ).
fof(f20301,plain,
( ~ v1_filter_0(sK26,k1_lattice2(sK25))
| ~ m1_subset_1(sK26,k1_zfmisc_1(u1_struct_0(sK25)))
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_11 ),
inference(superposition,[],[f20254,f14699]) ).
fof(f20306,plain,
( ~ v1_filter_0(sK26,k1_lattice2(sK25))
| ~ m1_subset_1(sK26,k1_zfmisc_1(u1_struct_0(sK25)))
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| spl163_11 ),
inference(forward_subsumption_resolution,[],[f20301,f15759]) ).
fof(f20317,plain,
( ~ v1_filter_0(sK26,k1_lattice2(sK25))
| ~ m1_subset_1(sK26,k1_zfmisc_1(u1_struct_0(sK25)))
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_6
| spl163_11 ),
inference(forward_subsumption_resolution,[],[f20306,f15797]) ).
fof(f20326,plain,
( ~ v1_filter_0(sK26,k1_lattice2(sK25))
| ~ m1_subset_1(sK26,k1_zfmisc_1(u1_struct_0(sK25)))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| spl163_11 ),
inference(forward_subsumption_resolution,[],[f20317,f15792]) ).
fof(f20655,definition,
( spl163_16
<=> m1_filter_2(sK26,k1_lattice2(sK25)) ),
introduced(definition,[new_symbols(definition,[spl163_16])],[avatar_definition]) ).
fof(f20657,plain,
( m1_filter_2(sK26,k1_lattice2(sK25))
| ~ spl163_16 ),
inference(avatar_component_clause,[],[f20655]) ).
fof(f20658,plain,
( spl163_16
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(avatar_split_clause,[],[f18368,f18164,f15795,f15790,f15757,f20655]) ).
fof(f20661,plain,
( m1_filter_0(sK26,k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ spl163_16 ),
inference(resolution,[],[f20657,f14594]) ).
fof(f20669,plain,
( m1_filter_0(sK26,k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_16 ),
inference(forward_subsumption_resolution,[],[f20661,f16882]) ).
fof(f20674,plain,
( m1_filter_0(sK26,k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_16 ),
inference(forward_subsumption_resolution,[],[f20669,f17502]) ).
fof(f20677,plain,
( m1_filter_0(sK26,k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_16 ),
inference(forward_subsumption_resolution,[],[f20674,f19560]) ).
fof(f20737,definition,
( spl163_17
<=> m2_lattice4(sK26,sK25) ),
introduced(definition,[new_symbols(definition,[spl163_17])],[avatar_definition]) ).
fof(f20739,plain,
( m2_lattice4(sK26,sK25)
| ~ spl163_17 ),
inference(avatar_component_clause,[],[f20737]) ).
fof(f20740,plain,
( spl163_17
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(avatar_split_clause,[],[f18379,f18164,f15795,f15790,f15757,f20737]) ).
fof(f20755,plain,
( m1_subset_1(sK26,k1_zfmisc_1(u1_struct_0(sK25)))
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_17 ),
inference(resolution,[],[f20739,f14883]) ).
fof(f20760,plain,
( m1_subset_1(sK26,k1_zfmisc_1(u1_struct_0(sK25)))
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_17 ),
inference(forward_subsumption_resolution,[],[f20755,f15759]) ).
fof(f20772,plain,
( m1_subset_1(sK26,k1_zfmisc_1(u1_struct_0(sK25)))
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_6
| ~ spl163_17 ),
inference(forward_subsumption_resolution,[],[f20760,f15797]) ).
fof(f20780,plain,
( m1_subset_1(sK26,k1_zfmisc_1(u1_struct_0(sK25)))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_17 ),
inference(forward_subsumption_resolution,[],[f20772,f15792]) ).
fof(f20790,plain,
( ~ v1_filter_0(sK26,k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| spl163_11
| ~ spl163_17 ),
inference(backward_subsumption_resolution,[],[f20326,f20780]) ).
fof(f20807,definition,
( spl163_18
<=> sK26 = u1_struct_0(sK25) ),
introduced(definition,[new_symbols(definition,[spl163_18])],[avatar_definition]) ).
fof(f20808,plain,
( sK26 = u1_struct_0(sK25)
| ~ spl163_18 ),
inference(avatar_component_clause,[],[f20807]) ).
fof(f20809,plain,
( sK26 != u1_struct_0(sK25)
| spl163_18 ),
inference(avatar_component_clause,[],[f20807]) ).
fof(f20810,plain,
( ~ spl163_18
| spl163_1
| spl163_2
| ~ spl163_5
| ~ spl163_6 ),
inference(avatar_split_clause,[],[f15802,f15795,f15790,f15762,f15757,f20807]) ).
fof(f20966,definition,
( spl163_20
<=> v1_filter_0(sK26,k1_lattice2(sK25)) ),
introduced(definition,[new_symbols(definition,[spl163_20])],[avatar_definition]) ).
fof(f20968,plain,
( ~ v1_filter_0(sK26,k1_lattice2(sK25))
| spl163_20 ),
inference(avatar_component_clause,[],[f20966]) ).
fof(f20969,plain,
( ~ spl163_20
| spl163_1
| ~ spl163_5
| ~ spl163_6
| spl163_11
| ~ spl163_17 ),
inference(avatar_split_clause,[],[f20790,f20737,f20252,f15795,f15790,f15757,f20966]) ).
fof(f21160,definition,
( spl163_22
<=> m1_filter_2(k7_filter_2(sK25,sK26),k1_lattice2(sK25)) ),
introduced(definition,[new_symbols(definition,[spl163_22])],[avatar_definition]) ).
fof(f21162,plain,
( m1_filter_2(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ spl163_22 ),
inference(avatar_component_clause,[],[f21160]) ).
fof(f21163,plain,
( spl163_22
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(avatar_split_clause,[],[f18409,f18164,f15795,f15790,f15757,f21160]) ).
fof(f21323,definition,
( spl163_27
<=> l3_lattices(k1_lattice2(sK25)) ),
introduced(definition,[new_symbols(definition,[spl163_27])],[avatar_definition]) ).
fof(f21325,plain,
( l3_lattices(k1_lattice2(sK25))
| ~ spl163_27 ),
inference(avatar_component_clause,[],[f21323]) ).
fof(f21326,plain,
( spl163_27
| ~ spl163_5 ),
inference(avatar_split_clause,[],[f19560,f15790,f21323]) ).
fof(f21334,plain,
( sK26 = k1_filter_0(k1_lattice2(sK25))
| ~ v2_filter_0(sK26,k1_lattice2(sK25))
| ~ m1_filter_0(sK26,k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| ~ v17_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_20 ),
inference(resolution,[],[f20968,f15413]) ).
fof(f21339,plain,
( sK26 = k1_filter_0(k1_lattice2(sK25))
| ~ v2_filter_0(sK26,k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| ~ v17_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_16
| spl163_20 ),
inference(forward_subsumption_resolution,[],[f21334,f20677]) ).
fof(f21349,plain,
( sK26 = k1_filter_0(k1_lattice2(sK25))
| ~ v2_filter_0(sK26,k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| ~ v17_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_16
| spl163_20 ),
inference(forward_subsumption_resolution,[],[f21339,f16882]) ).
fof(f21357,plain,
( sK26 = k1_filter_0(k1_lattice2(sK25))
| ~ v2_filter_0(sK26,k1_lattice2(sK25))
| ~ v17_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_16
| spl163_20 ),
inference(forward_subsumption_resolution,[],[f21349,f17502]) ).
fof(f21365,plain,
( sK26 = k1_filter_0(k1_lattice2(sK25))
| ~ v2_filter_0(sK26,k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_16
| spl163_20 ),
inference(forward_subsumption_resolution,[],[f21357,f17805]) ).
fof(f21373,plain,
( sK26 = k1_filter_0(k1_lattice2(sK25))
| ~ v2_filter_0(sK26,k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_16
| spl163_20
| ~ spl163_27 ),
inference(forward_subsumption_resolution,[],[f21365,f21325]) ).
fof(f21554,plain,
( m1_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ spl163_22 ),
inference(resolution,[],[f21162,f14594]) ).
fof(f21562,plain,
( m1_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_22 ),
inference(forward_subsumption_resolution,[],[f21554,f16882]) ).
fof(f21567,plain,
( m1_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_22 ),
inference(forward_subsumption_resolution,[],[f21562,f17502]) ).
fof(f21570,plain,
( m1_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_22
| ~ spl163_27 ),
inference(forward_subsumption_resolution,[],[f21567,f21325]) ).
fof(f21693,plain,
( ~ v2_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_4
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18214,f15773]) ).
fof(f21699,plain,
( v1_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_3
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18194,f15768]) ).
fof(f21708,plain,
( ~ v2_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| spl163_4
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f21693,f15759]) ).
fof(f21714,plain,
( v1_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_3
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f21699,f15759]) ).
fof(f21723,plain,
( ~ v2_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ l3_lattices(sK25)
| spl163_1
| spl163_4
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f21708,f15797]) ).
fof(f21729,plain,
( v1_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_3
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f21714,f15797]) ).
fof(f21738,plain,
( ~ v2_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_1
| spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f21723,f15792]) ).
fof(f21744,plain,
( v1_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_1
| ~ spl163_3
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f21729,f15792]) ).
fof(f21753,plain,
( ~ v2_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_1
| spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_demodulation,[],[f21738,f18376]) ).
fof(f21754,plain,
( v1_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_1
| ~ spl163_3
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_demodulation,[],[f21744,f18376]) ).
fof(f21759,plain,
( $false
| spl163_1
| ~ spl163_3
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| spl163_11 ),
inference(forward_subsumption_resolution,[],[f21754,f20254]) ).
fof(f21760,plain,
( spl163_1
| ~ spl163_3
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| spl163_11 ),
inference(avatar_contradiction_clause,[],[f21759]) ).
fof(f21774,definition,
( spl163_35
<=> v2_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25)) ),
introduced(definition,[new_symbols(definition,[spl163_35])],[avatar_definition]) ).
fof(f21775,plain,
( v2_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ spl163_35 ),
inference(avatar_component_clause,[],[f21774]) ).
fof(f21776,plain,
( ~ v2_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_35 ),
inference(avatar_component_clause,[],[f21774]) ).
fof(f21777,plain,
( ~ spl163_35
| spl163_1
| spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(avatar_split_clause,[],[f21753,f18164,f15795,f15790,f15772,f15757,f21774]) ).
fof(f21783,plain,
( ~ v1_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ m1_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| ~ v17_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_35 ),
inference(resolution,[],[f21776,f15414]) ).
fof(f21790,plain,
( ~ m1_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| ~ v17_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ spl163_11
| spl163_35 ),
inference(forward_subsumption_resolution,[],[f21783,f20253]) ).
fof(f21799,plain,
( v3_struct_0(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| ~ v17_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_11
| ~ spl163_22
| ~ spl163_27
| spl163_35 ),
inference(forward_subsumption_resolution,[],[f21790,f21570]) ).
fof(f21806,plain,
( ~ v10_lattices(k1_lattice2(sK25))
| ~ v17_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_11
| ~ spl163_22
| ~ spl163_27
| spl163_35 ),
inference(forward_subsumption_resolution,[],[f21799,f16882]) ).
fof(f21813,plain,
( ~ v17_lattices(k1_lattice2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_11
| ~ spl163_22
| ~ spl163_27
| spl163_35 ),
inference(forward_subsumption_resolution,[],[f21806,f17502]) ).
fof(f21819,plain,
( ~ l3_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_11
| ~ spl163_22
| ~ spl163_27
| spl163_35 ),
inference(forward_subsumption_resolution,[],[f21813,f17805]) ).
fof(f21822,plain,
( $false
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_11
| ~ spl163_22
| ~ spl163_27
| spl163_35 ),
inference(forward_subsumption_resolution,[],[f21819,f21325]) ).
fof(f21823,plain,
( spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_11
| ~ spl163_22
| ~ spl163_27
| spl163_35 ),
inference(avatar_contradiction_clause,[],[f21822]) ).
fof(f21827,plain,
( v2_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_4
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f18213,f15774]) ).
fof(f21831,plain,
( v2_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_4
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f21827,f15759]) ).
fof(f21835,plain,
( v2_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_4
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f21831,f15797]) ).
fof(f21839,plain,
( v2_filter_0(k15_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_1
| ~ spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f21835,f15792]) ).
fof(f21843,plain,
( v2_filter_0(k7_filter_2(sK25,sK26),k1_lattice2(sK25))
| spl163_1
| ~ spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7 ),
inference(forward_demodulation,[],[f21839,f18376]) ).
fof(f21846,plain,
( $false
| spl163_1
| ~ spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| spl163_35 ),
inference(forward_subsumption_resolution,[],[f21843,f21776]) ).
fof(f21847,plain,
( spl163_1
| ~ spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| spl163_35 ),
inference(avatar_contradiction_clause,[],[f21846]) ).
fof(f21935,plain,
( v2_filter_0(sK26,k1_lattice2(sK25))
| ~ m1_subset_1(sK26,k1_zfmisc_1(u1_struct_0(sK25)))
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_35 ),
inference(superposition,[],[f21775,f14699]) ).
fof(f21940,plain,
( v2_filter_0(sK26,k1_lattice2(sK25))
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_17
| ~ spl163_35 ),
inference(forward_subsumption_resolution,[],[f21935,f20780]) ).
fof(f21944,plain,
( v2_filter_0(sK26,k1_lattice2(sK25))
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_17
| ~ spl163_35 ),
inference(forward_subsumption_resolution,[],[f21940,f15759]) ).
fof(f21946,plain,
( v2_filter_0(sK26,k1_lattice2(sK25))
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_17
| ~ spl163_35 ),
inference(forward_subsumption_resolution,[],[f21944,f15797]) ).
fof(f21948,plain,
( v2_filter_0(sK26,k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_17
| ~ spl163_35 ),
inference(forward_subsumption_resolution,[],[f21946,f15792]) ).
fof(f21950,plain,
( sK26 = k1_filter_0(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_16
| ~ spl163_17
| spl163_20
| ~ spl163_27
| ~ spl163_35 ),
inference(backward_subsumption_resolution,[],[f21373,f21948]) ).
fof(f26724,plain,
( u1_struct_0(k1_lattice2(sK25)) = k1_filter_0(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| ~ spl163_27 ),
inference(resolution,[],[f21325,f14919]) ).
fof(f27541,plain,
( u1_struct_0(k1_lattice2(sK25)) = k1_filter_0(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_27 ),
inference(forward_subsumption_resolution,[],[f26724,f16882]) ).
fof(f28109,plain,
( u1_struct_0(k1_lattice2(sK25)) = k1_filter_0(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_27 ),
inference(forward_subsumption_resolution,[],[f27541,f17502]) ).
fof(f28624,plain,
( sK26 = u1_struct_0(k1_lattice2(sK25))
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_16
| ~ spl163_17
| spl163_20
| ~ spl163_27
| ~ spl163_35 ),
inference(forward_demodulation,[],[f28109,f21950]) ).
fof(f29859,definition,
( spl163_66
<=> sK26 = u1_struct_0(k1_lattice2(sK25)) ),
introduced(definition,[new_symbols(definition,[spl163_66])],[avatar_definition]) ).
fof(f29861,plain,
( sK26 = u1_struct_0(k1_lattice2(sK25))
| ~ spl163_66 ),
inference(avatar_component_clause,[],[f29859]) ).
fof(f29862,plain,
( spl163_66
| spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_16
| ~ spl163_17
| spl163_20
| ~ spl163_27
| ~ spl163_35 ),
inference(avatar_split_clause,[],[f28624,f21774,f21323,f20966,f20737,f20655,f15795,f15790,f15757,f29859]) ).
fof(f29865,plain,
( sK26 = u1_struct_0(sK25)
| v3_struct_0(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_66 ),
inference(superposition,[],[f29861,f14982]) ).
fof(f31541,plain,
( v3_struct_0(sK25)
| ~ l3_lattices(sK25)
| spl163_18
| ~ spl163_66 ),
inference(forward_subsumption_resolution,[],[f29865,f20809]) ).
fof(f32320,plain,
( ~ l3_lattices(sK25)
| spl163_1
| spl163_18
| ~ spl163_66 ),
inference(forward_subsumption_resolution,[],[f31541,f15759]) ).
fof(f33080,plain,
( $false
| spl163_1
| ~ spl163_5
| spl163_18
| ~ spl163_66 ),
inference(forward_subsumption_resolution,[],[f32320,f15792]) ).
fof(f33081,plain,
( spl163_1
| ~ spl163_5
| spl163_18
| ~ spl163_66 ),
inference(avatar_contradiction_clause,[],[f33080]) ).
fof(f33830,plain,
( sK26 = u1_struct_0(sK25)
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_2 ),
inference(superposition,[],[f15763,f14738]) ).
fof(f34748,plain,
( ~ r2_filter_2(sK25,sK26)
| ~ m2_filter_2(sK26,sK25)
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ v17_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_18 ),
inference(superposition,[],[f15568,f20808]) ).
fof(f34997,plain,
( ~ m2_filter_2(sK26,sK25)
| v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ v17_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_3
| ~ spl163_18 ),
inference(forward_subsumption_resolution,[],[f34748,f15768]) ).
fof(f35756,plain,
( v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ v17_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_3
| ~ spl163_7
| ~ spl163_18 ),
inference(forward_subsumption_resolution,[],[f34997,f18166]) ).
fof(f36498,plain,
( ~ v10_lattices(sK25)
| ~ v17_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_3
| ~ spl163_7
| ~ spl163_18 ),
inference(forward_subsumption_resolution,[],[f35756,f15759]) ).
fof(f37179,plain,
( ~ v17_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_3
| ~ spl163_6
| ~ spl163_7
| ~ spl163_18 ),
inference(forward_subsumption_resolution,[],[f36498,f15797]) ).
fof(f37427,plain,
( ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_3
| ~ spl163_6
| ~ spl163_7
| ~ spl163_8
| ~ spl163_18 ),
inference(forward_subsumption_resolution,[],[f37179,f18434]) ).
fof(f37526,plain,
( $false
| spl163_1
| ~ spl163_3
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| ~ spl163_8
| ~ spl163_18 ),
inference(forward_subsumption_resolution,[],[f37427,f15792]) ).
fof(f37527,plain,
( spl163_1
| ~ spl163_3
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| ~ spl163_8
| ~ spl163_18 ),
inference(avatar_contradiction_clause,[],[f37526]) ).
fof(f37623,plain,
( v3_struct_0(sK25)
| ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| ~ spl163_2
| spl163_18 ),
inference(forward_subsumption_resolution,[],[f33830,f20809]) ).
fof(f37643,plain,
( ~ v10_lattices(sK25)
| ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_2
| spl163_18 ),
inference(forward_subsumption_resolution,[],[f37623,f15759]) ).
fof(f37658,plain,
( ~ l3_lattices(sK25)
| spl163_1
| ~ spl163_2
| ~ spl163_6
| spl163_18 ),
inference(forward_subsumption_resolution,[],[f37643,f15797]) ).
fof(f37673,plain,
( $false
| spl163_1
| ~ spl163_2
| ~ spl163_5
| ~ spl163_6
| spl163_18 ),
inference(forward_subsumption_resolution,[],[f37658,f15792]) ).
fof(f37674,plain,
( spl163_1
| ~ spl163_2
| ~ spl163_5
| ~ spl163_6
| spl163_18 ),
inference(avatar_contradiction_clause,[],[f37673]) ).
cnf(s1,plain,
~ spl163_1,
inference(sat_conversion,[],[f15760]) ).
cnf(s2,plain,
( ~ spl163_2
| spl163_3 ),
inference(sat_conversion,[],[f15769]) ).
cnf(s3,plain,
( spl163_3
| spl163_4 ),
inference(sat_conversion,[],[f15775]) ).
cnf(s4,plain,
spl163_5,
inference(sat_conversion,[],[f15793]) ).
cnf(s5,plain,
spl163_6,
inference(sat_conversion,[],[f15798]) ).
cnf(s6,plain,
spl163_7,
inference(sat_conversion,[],[f18167]) ).
cnf(s7,plain,
spl163_8,
inference(sat_conversion,[],[f18435]) ).
cnf(s11,plain,
( spl163_1
| spl163_2
| ~ spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| ~ spl163_11 ),
inference(sat_conversion,[],[f20255]) ).
cnf(s16,plain,
( spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| spl163_16 ),
inference(sat_conversion,[],[f20658]) ).
cnf(s17,plain,
( spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| spl163_17 ),
inference(sat_conversion,[],[f20740]) ).
cnf(s18,plain,
( spl163_1
| spl163_2
| ~ spl163_5
| ~ spl163_6
| ~ spl163_18 ),
inference(sat_conversion,[],[f20810]) ).
cnf(s20,plain,
( spl163_1
| ~ spl163_5
| ~ spl163_6
| spl163_11
| ~ spl163_17
| ~ spl163_20 ),
inference(sat_conversion,[],[f20969]) ).
cnf(s22,plain,
( spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| spl163_22 ),
inference(sat_conversion,[],[f21163]) ).
cnf(s27,plain,
( ~ spl163_5
| spl163_27 ),
inference(sat_conversion,[],[f21326]) ).
cnf(s35,plain,
( spl163_1
| ~ spl163_3
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| spl163_11 ),
inference(sat_conversion,[],[f21760]) ).
cnf(s36,plain,
( spl163_1
| spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| ~ spl163_35 ),
inference(sat_conversion,[],[f21777]) ).
cnf(s37,plain,
( spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_11
| ~ spl163_22
| ~ spl163_27
| spl163_35 ),
inference(sat_conversion,[],[f21823]) ).
cnf(s38,plain,
( spl163_1
| ~ spl163_4
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| spl163_35 ),
inference(sat_conversion,[],[f21847]) ).
cnf(s67,plain,
( spl163_1
| ~ spl163_5
| ~ spl163_6
| ~ spl163_16
| ~ spl163_17
| spl163_20
| ~ spl163_27
| ~ spl163_35
| spl163_66 ),
inference(sat_conversion,[],[f29862]) ).
cnf(s69,plain,
( spl163_1
| ~ spl163_5
| spl163_18
| ~ spl163_66 ),
inference(sat_conversion,[],[f33081]) ).
cnf(s81,plain,
( spl163_1
| ~ spl163_3
| ~ spl163_5
| ~ spl163_6
| ~ spl163_7
| ~ spl163_8
| ~ spl163_18 ),
inference(sat_conversion,[],[f37527]) ).
cnf(s85,plain,
( spl163_1
| ~ spl163_2
| ~ spl163_5
| ~ spl163_6
| spl163_18 ),
inference(sat_conversion,[],[f37674]) ).
cnf(s86,plain,
spl163_27,
inference(rat,[],[s27,s4]) ).
cnf(s111,plain,
spl163_22,
inference(rat,[],[s22,s4,s6,s5,s1]) ).
cnf(s113,plain,
spl163_17,
inference(rat,[],[s17,s4,s6,s5,s1]) ).
cnf(s114,plain,
spl163_16,
inference(rat,[],[s16,s4,s6,s5,s1]) ).
cnf(s120,plain,
( ~ spl163_4
| spl163_2 ),
inference(rat,[],[s20,s67,s11,s38,s69,s18,s5,s4,s1,s113,s86,s114,s6]) ).
cnf(s121,plain,
spl163_4,
inference(rat,[],[s35,s37,s3,s36,s4,s5,s6,s1,s86,s111]) ).
cnf(s124,plain,
spl163_2,
inference(rat,[],[s120,s121]) ).
cnf(s126,plain,
spl163_18,
inference(rat,[],[s85,s1,s5,s4,s124]) ).
cnf(s127,plain,
spl163_3,
inference(rat,[],[s2,s124]) ).
cnf(s129,plain,
$false,
inference(rat,[],[s81,s1,s7,s6,s5,s4,s126,s127]) ).
fof(f37701,plain,
$false,
inference(avatar_sat_refutation,[],[s129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT322+3 : 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 : n017.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 14:32:22 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
% 14.17/3.49 % (2625053)Detected formulas, will run a generic FOF schedule.
% 14.17/3.49 % (2625063)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2080241171:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 14.17/3.49 % (2625063)Instruction limit reached!
% 14.17/3.49 % (2625063)------------------------------
% 14.17/3.49 % (2625063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625063)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625063)Termination reason: Instruction limit
% 14.17/3.49 % (2625063)Termination phase: Property scanning
% 14.17/3.49 % (2625063)Time elapsed: 0.033 s
% 14.17/3.49 % (2625063)Peak memory usage: 102 MB
% 14.17/3.49 % (2625063)Instructions burned: 141 (million)
% 14.17/3.49 % (2625061)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1245261760:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 14.17/3.49 % (2625059)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=2427300360:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 14.17/3.49 % (2625058)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=2116338232:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 14.17/3.49 % (2625060)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=3467873055:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 14.17/3.49 % (2625064)dis-21_1_sil=8000:lcm=predicate:random_seed=1582076608:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 14.17/3.49 % (2625062)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2927237919:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 14.17/3.49 % (2625061)Refutation not found, incomplete strategy
% 14.17/3.49 % (2625061)------------------------------
% 14.17/3.49 % (2625061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625061)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625061)Termination reason: Refutation not found, incomplete strategy
% 14.17/3.49 % (2625061)Time elapsed: 0.068 s
% 14.17/3.49 % (2625061)Peak memory usage: 107 MB
% 14.17/3.49 % (2625061)Instructions burned: 83 (million)
% 14.17/3.49 % (2625064)Instruction limit reached!
% 14.17/3.49 % (2625064)------------------------------
% 14.17/3.49 % (2625064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625064)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625064)Termination reason: Instruction limit
% 14.17/3.49 % (2625064)Termination phase: Preprocessing 1
% 14.17/3.49 % (2625064)Time elapsed: 0.095 s
% 14.17/3.49 % (2625064)Peak memory usage: 104 MB
% 14.17/3.49 % (2625064)Instructions burned: 129 (million)
% 14.17/3.49 % (2625071)lrs+10_1_sil=8000:sp=occurrence:random_seed=106740573:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 14.17/3.49 % (2625062)Instruction limit reached!
% 14.17/3.49 % (2625062)------------------------------
% 14.17/3.49 % (2625062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625062)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625062)Termination reason: Instruction limit
% 14.17/3.49 % (2625062)Termination phase: Property scanning
% 14.17/3.49 % (2625062)Time elapsed: 0.101 s
% 14.17/3.49 % (2625062)Peak memory usage: 105 MB
% 14.17/3.49 % (2625062)Instructions burned: 120 (million)
% 14.17/3.49 % (2625071)Instruction limit reached!
% 14.17/3.49 % (2625071)------------------------------
% 14.17/3.49 % (2625071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625071)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625071)Termination reason: Instruction limit
% 14.17/3.49 % (2625071)Termination phase: Saturation
% 14.17/3.49 % (2625071)Time elapsed: 0.115 s
% 14.17/3.49 % (2625071)Peak memory usage: 110 MB
% 14.17/3.49 % (2625071)Instructions burned: 286 (million)
% 14.17/3.49 % (2625073)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1923323831:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 14.17/3.49 % (2625075)lrs+1011_1_sil=32000:sp=occurrence:random_seed=461695302:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 14.17/3.49 % (2625061)------------------------------
% 14.17/3.49 % (2625061)------------------------------
% 14.17/3.49 % (2625073)Instruction limit reached!
% 14.17/3.49 % (2625073)------------------------------
% 14.17/3.49 % (2625073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625073)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625073)Termination reason: Instruction limit
% 14.17/3.49 % (2625073)Termination phase: Property scanning
% 14.17/3.49 % (2625073)Time elapsed: 0.068 s
% 14.17/3.49 % (2625073)Peak memory usage: 102 MB
% 14.17/3.49 % (2625073)Instructions burned: 158 (million)
% 14.17/3.49 % (2625075)Refutation not found, incomplete strategy
% 14.17/3.49 % (2625075)------------------------------
% 14.17/3.49 % (2625075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625075)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625075)Termination reason: Refutation not found, incomplete strategy
% 14.17/3.49 % (2625075)Time elapsed: 0.071 s
% 14.17/3.49 % (2625075)Peak memory usage: 107 MB
% 14.17/3.49 % (2625075)Instructions burned: 81 (million)
% 14.17/3.49 % (2625076)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=3677674981:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 14.17/3.49 % (2625076)Instruction limit reached!
% 14.17/3.49 % (2625076)------------------------------
% 14.17/3.49 % (2625076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625076)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625076)Termination reason: Instruction limit
% 14.17/3.49 % (2625076)Termination phase: SInE selection
% 14.17/3.49 % (2625076)Time elapsed: 0.072 s
% 14.17/3.49 % (2625076)Peak memory usage: 103 MB
% 14.17/3.49 % (2625076)Instructions burned: 250 (million)
% 14.17/3.49 % (2625080)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1027936732:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 14.17/3.49 % (2625079)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=305492232:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 14.17/3.49 % (2625082)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=401846839:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 14.17/3.49 % (2625079)Refutation not found, incomplete strategy
% 14.17/3.49 % (2625079)------------------------------
% 14.17/3.49 % (2625079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625079)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625079)Termination reason: Refutation not found, incomplete strategy
% 14.17/3.49 % (2625079)Time elapsed: 0.113 s
% 14.17/3.49 % (2625079)Peak memory usage: 108 MB
% 14.17/3.49 % (2625079)Instructions burned: 166 (million)
% 14.17/3.49 % (2625075)------------------------------
% 14.17/3.49 % (2625075)------------------------------
% 14.17/3.49 % (2625082)Instruction limit reached!
% 14.17/3.49 % (2625082)------------------------------
% 14.17/3.49 % (2625082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625082)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625082)Termination reason: Instruction limit
% 14.17/3.49 % (2625082)Termination phase: Preprocessing 3
% 14.17/3.49 % (2625082)Time elapsed: 0.056 s
% 14.17/3.49 % (2625082)Peak memory usage: 105 MB
% 14.17/3.49 % (2625082)Instructions burned: 116 (million)
% 14.17/3.49 % (2625086)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3632006212:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 14.17/3.49 % (2625087)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1619905250:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 14.17/3.49 % (2625087)Instruction limit reached!
% 14.17/3.49 % (2625087)------------------------------
% 14.17/3.49 % (2625087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625087)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625087)Termination reason: Instruction limit
% 14.17/3.49 % (2625087)Termination phase: Property scanning
% 14.17/3.49 % (2625087)Time elapsed: 0.049 s
% 14.17/3.49 % (2625087)Peak memory usage: 102 MB
% 14.17/3.49 % (2625087)Instructions burned: 115 (million)
% 14.17/3.49 % (2625079)------------------------------
% 14.17/3.49 % (2625079)------------------------------
% 14.17/3.49 % (2625086)Instruction limit reached!
% 14.17/3.49 % (2625086)------------------------------
% 14.17/3.49 % (2625086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625086)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625086)Termination reason: Instruction limit
% 14.17/3.49 % (2625086)Termination phase: Preprocessing 2
% 14.17/3.49 % (2625086)Time elapsed: 0.101 s
% 14.17/3.49 % (2625086)Peak memory usage: 106 MB
% 14.17/3.49 % (2625086)Instructions burned: 128 (million)
% 14.17/3.49 % (2625090)lrs+10_1_sil=8000:sp=occurrence:random_seed=3281060982:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 14.17/3.49 % (2625091)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2985225763:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 14.17/3.49 % (2625092)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4287963357:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 14.17/3.49 % (2625091)Refutation not found, incomplete strategy
% 14.17/3.49 % (2625091)------------------------------
% 14.17/3.49 % (2625091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625091)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625091)Termination reason: Refutation not found, incomplete strategy
% 14.17/3.49 % (2625091)Time elapsed: 0.100 s
% 14.17/3.49 % (2625091)Peak memory usage: 108 MB
% 14.17/3.49 % (2625091)Instructions burned: 139 (million)
% 14.17/3.49 % (2625091)------------------------------
% 14.17/3.49 % (2625091)------------------------------
% 14.17/3.49 % (2625096)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1763175765:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 14.17/3.49 % (2625090)Instruction limit reached!
% 14.17/3.49 % (2625090)------------------------------
% 14.17/3.49 % (2625090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625090)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625090)Termination reason: Instruction limit
% 14.17/3.49 % (2625090)Termination phase: Saturation
% 14.17/3.49 % (2625090)Time elapsed: 0.585 s
% 14.17/3.49 % (2625090)Peak memory usage: 121 MB
% 14.17/3.49 % (2625090)Instructions burned: 907 (million)
% 14.17/3.49 % (2625060)First to succeed.
% 14.17/3.49 % (2625060)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2625053"
% 14.17/3.49 % (2625096)Instruction limit reached!
% 14.17/3.49 % (2625096)------------------------------
% 14.17/3.49 % (2625096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.49 % (2625096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.49 % (2625096)CaDiCaL version: 2.1.3
% 14.17/3.49 % (2625096)Termination reason: Instruction limit
% 14.17/3.49 % (2625096)Termination phase: Property scanning
% 14.17/3.49 % (2625096)Time elapsed: 0.107 s
% 14.17/3.49 % (2625096)Peak memory usage: 106 MB
% 14.17/3.49 % (2625096)Instructions burned: 136 (million)
% 14.17/3.49 % (2625098)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1074069475:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 14.17/3.49 % (2625060)Refutation found. Thanks to Tanya!
% 14.17/3.49 % SZS status Theorem for theBenchmark
% 14.17/3.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/3.71 % (2625060)------------------------------
% 0.19/3.71 % (2625060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/3.71 % (2625060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/3.71 % (2625060)CaDiCaL version: 2.1.3
% 0.19/3.71 % (2625060)Termination reason: Refutation
% 0.19/3.71 % (2625060)Time elapsed: 1.600 s
% 0.19/3.71 % (2625060)Peak memory usage: 176 MB
% 0.19/3.71 % (2625060)Instructions burned: 4024 (million)
% 0.19/3.71 % (2625060)------------------------------
% 0.19/3.71 % (2625060)------------------------------
% 0.19/3.71 % (2625053)Success in time 2.63 s
% 0.19/3.71 % Vampire exiting
%------------------------------------------------------------------------------