%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT324+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 : n005.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 11:46:57 AM UTC 2026
% Result : Theorem 74.49s 12.01s
% Output : Refutation 75.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 32
% Syntax : Number of formulae : 303 ( 27 unt; 12 def)
% Number of atoms : 1632 ( 67 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 2253 ( 924 ~;1070 |; 196 &)
% ( 27 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 12 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 204 ( 0 sgn 196 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f480,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f678,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f6660,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f8585,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> r2_hidden(k6_lattices(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_filter_0) ).
fof(f8638,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( X1 != X2
& ! [X3] :
( m1_filter_0(X3,X0)
=> ~ ( v1_filter_0(X3,X0)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_filter_0) ).
fof(f8673,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(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(f9453,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0) )
=> k5_lattices(X0) = k6_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_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(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(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(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(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(f13654,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( X1 != X2
& ! [X3] :
( m2_filter_2(X3,X0)
=> ~ ( r2_filter_2(X0,X3)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_filter_2) ).
fof(f13655,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( X1 != X2
& ! [X3] :
( m2_filter_2(X3,X0)
=> ~ ( r2_filter_2(X0,X3)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13654]) ).
fof(f13782,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& ! [X3] :
( ~ r2_filter_2(X0,X3)
| ( ( ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) )
& ( r2_hidden(X1,X3)
| ~ r2_hidden(X2,X3) ) )
| ~ m2_filter_2(X3,X0) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f13655]) ).
fof(f13783,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& ! [X3] :
( ~ r2_filter_2(X0,X3)
| ( ( ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) )
& ( r2_hidden(X1,X3)
| ~ r2_hidden(X2,X3) ) )
| ~ m2_filter_2(X3,X0) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f13782]) ).
fof(f13790,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f678]) ).
fof(f13791,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f13790]) ).
fof(f13794,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f13807,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f13808,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f13814,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(f13815,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,[],[f13814]) ).
fof(f13852,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(f13853,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,[],[f13852]) ).
fof(f14007,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f14012,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9453]) ).
fof(f14013,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14012]) ).
fof(f14030,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(f14031,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,[],[f14030]) ).
fof(f14033,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(f14034,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,[],[f14033]) ).
fof(f14035,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(f14036,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14035]) ).
fof(f14357,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8585]) ).
fof(f14358,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14357]) ).
fof(f14363,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6660]) ).
fof(f14364,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14363]) ).
fof(f14379,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ? [X3] :
( v1_filter_0(X3,X0)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) )
& m1_filter_0(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8638]) ).
fof(f14380,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ? [X3] :
( v1_filter_0(X3,X0)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) )
& m1_filter_0(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14379]) ).
fof(f14385,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(f14386,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,[],[f14385]) ).
fof(f14944,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8673]) ).
fof(f14945,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14944]) ).
fof(f16056,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(f16057,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,[],[f16056]) ).
fof(f16062,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(f16063,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,[],[f16062]) ).
fof(f16291,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(f16292,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,[],[f16291]) ).
fof(f16310,definition,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP3(X0) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f16311,plain,
! [X0] :
( sP3(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f14034,f16310]) ).
fof(f16398,plain,
( sK56 != sK57
& ! [X3] :
( ~ r2_filter_2(sK55,X3)
| ( ( ~ r2_hidden(sK56,X3)
| r2_hidden(sK57,X3) )
& ( r2_hidden(sK56,X3)
| ~ r2_hidden(sK57,X3) ) )
| ~ m2_filter_2(X3,sK55) )
& m1_subset_1(sK57,u1_struct_0(sK55))
& m1_subset_1(sK56,u1_struct_0(sK55))
& ~ v3_struct_0(sK55)
& v10_lattices(sK55)
& v17_lattices(sK55)
& l3_lattices(sK55) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55,sK56,sK57]),skolemize(X0,sK55),skolemize(X1,sK56),skolemize(X2,sK57)],[f13783]) ).
fof(f16409,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f13807]) ).
fof(f16426,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,[],[f13815]) ).
fof(f16427,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,[],[f16426]) ).
fof(f16453,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,[],[f13853]) ).
fof(f16495,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)) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f16310]) ).
fof(f16594,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ( v1_filter_0(sK162(X0,X1,X2),X0)
& ( ( r2_hidden(X1,sK162(X0,X1,X2))
& ~ r2_hidden(X2,sK162(X0,X1,X2)) )
| ( ~ r2_hidden(X1,sK162(X0,X1,X2))
& r2_hidden(X2,sK162(X0,X1,X2)) ) )
& m1_filter_0(sK162(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK162]),skolemize(X3,sK162(X0,X1,X2))],[f14380]) ).
fof(f17281,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,[],[f16057]) ).
fof(f17282,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,[],[f16063]) ).
fof(f17349,plain,
l3_lattices(sK55),
inference(cnf_transformation,[],[f16398]) ).
fof(f17350,plain,
v17_lattices(sK55),
inference(cnf_transformation,[],[f16398]) ).
fof(f17351,plain,
v10_lattices(sK55),
inference(cnf_transformation,[],[f16398]) ).
fof(f17352,plain,
~ v3_struct_0(sK55),
inference(cnf_transformation,[],[f16398]) ).
fof(f17353,plain,
m1_subset_1(sK56,u1_struct_0(sK55)),
inference(cnf_transformation,[],[f16398]) ).
fof(f17354,plain,
m1_subset_1(sK57,u1_struct_0(sK55)),
inference(cnf_transformation,[],[f16398]) ).
fof(f17355,plain,
! [X3] :
( ~ r2_filter_2(sK55,X3)
| r2_hidden(sK56,X3)
| ~ r2_hidden(sK57,X3)
| ~ m2_filter_2(X3,sK55) ),
inference(cnf_transformation,[],[f16398]) ).
fof(f17356,plain,
! [X3] :
( ~ r2_filter_2(sK55,X3)
| ~ r2_hidden(sK56,X3)
| r2_hidden(sK57,X3)
| ~ m2_filter_2(X3,sK55) ),
inference(cnf_transformation,[],[f16398]) ).
fof(f17357,plain,
sK56 != sK57,
inference(cnf_transformation,[],[f16398]) ).
fof(f17364,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f13791]) ).
fof(f17366,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f13794]) ).
fof(f17384,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f16409]) ).
fof(f17390,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f13808]) ).
fof(f17408,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,[],[f16427]) ).
fof(f17471,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,[],[f16453]) ).
fof(f17691,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14007]) ).
fof(f17696,plain,
! [X0] :
( ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14013]) ).
fof(f17718,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14031]) ).
fof(f17720,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f16495]) ).
fof(f17729,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP3(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f16311]) ).
fof(f17731,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14036]) ).
fof(f18120,plain,
! [X0,X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14358]) ).
fof(f18148,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14364]) ).
fof(f18149,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14364]) ).
fof(f18186,plain,
! [X2,X0,X1] :
( m1_filter_0(sK162(X0,X1,X2),X0)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f16594]) ).
fof(f18188,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,sK162(X0,X1,X2))
| X1 = X2
| ~ r2_hidden(X1,sK162(X0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f16594]) ).
fof(f18189,plain,
! [X2,X0,X1] :
( r2_hidden(X2,sK162(X0,X1,X2))
| r2_hidden(X1,sK162(X0,X1,X2))
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f16594]) ).
fof(f18191,plain,
! [X2,X0,X1] :
( v1_filter_0(sK162(X0,X1,X2),X0)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f16594]) ).
fof(f18201,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f14386]) ).
fof(f19214,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14945]) ).
fof(f20636,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,[],[f17281]) ).
fof(f20640,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,[],[f17282]) ).
fof(f20966,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,[],[f16292]) ).
fof(f21875,plain,
! [X0,X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(duplicate_literal_removal,[],[f18120]) ).
fof(f21895,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f17408]) ).
fof(f22112,plain,
( v3_struct_0(sK55)
| u1_struct_0(sK55) = u1_struct_0(k1_lattice2(sK55)) ),
inference(resolution,[],[f17718,f17349]) ).
fof(f22113,plain,
u1_struct_0(sK55) = u1_struct_0(k1_lattice2(sK55)),
inference(forward_subsumption_resolution,[],[f22112,f17352]) ).
fof(f22117,definition,
( spl612_16
<=> l3_lattices(k1_lattice2(sK55)) ),
introduced(definition,[new_symbols(definition,[spl612_16])],[avatar_definition]) ).
fof(f22118,plain,
( l3_lattices(k1_lattice2(sK55))
| ~ spl612_16 ),
inference(avatar_component_clause,[],[f22117]) ).
fof(f22119,plain,
( ~ l3_lattices(k1_lattice2(sK55))
| spl612_16 ),
inference(avatar_component_clause,[],[f22117]) ).
fof(f22121,definition,
( spl612_17
<=> v10_lattices(k1_lattice2(sK55)) ),
introduced(definition,[new_symbols(definition,[spl612_17])],[avatar_definition]) ).
fof(f22122,plain,
( v10_lattices(k1_lattice2(sK55))
| ~ spl612_17 ),
inference(avatar_component_clause,[],[f22121]) ).
fof(f22123,plain,
( ~ v10_lattices(k1_lattice2(sK55))
| spl612_17 ),
inference(avatar_component_clause,[],[f22121]) ).
fof(f22125,definition,
( spl612_18
<=> v3_struct_0(k1_lattice2(sK55)) ),
introduced(definition,[new_symbols(definition,[spl612_18])],[avatar_definition]) ).
fof(f22126,plain,
( ~ v3_struct_0(k1_lattice2(sK55))
| spl612_18 ),
inference(avatar_component_clause,[],[f22125]) ).
fof(f22127,plain,
( v3_struct_0(k1_lattice2(sK55))
| ~ spl612_18 ),
inference(avatar_component_clause,[],[f22125]) ).
fof(f22155,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK55)))
| ~ m1_filter_0(X0,k1_lattice2(sK55))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55)) ),
inference(superposition,[],[f19214,f22113]) ).
fof(f22166,plain,
( ~ l3_lattices(sK55)
| spl612_16 ),
inference(resolution,[],[f17691,f22119]) ).
fof(f22168,plain,
( $false
| spl612_16 ),
inference(forward_subsumption_resolution,[],[f22166,f17349]) ).
fof(f22169,plain,
spl612_16,
inference(avatar_contradiction_clause,[],[f22168]) ).
fof(f22177,plain,
( v3_struct_0(sK55)
| ~ l3_lattices(sK55)
| ~ spl612_18 ),
inference(resolution,[],[f22127,f17731]) ).
fof(f22178,plain,
( ~ l3_lattices(sK55)
| ~ spl612_18 ),
inference(forward_subsumption_resolution,[],[f22177,f17352]) ).
fof(f22179,plain,
( $false
| ~ spl612_18 ),
inference(forward_subsumption_resolution,[],[f22178,f17349]) ).
fof(f22180,plain,
~ spl612_18,
inference(avatar_contradiction_clause,[],[f22179]) ).
fof(f22187,plain,
( ~ sP3(sK55)
| spl612_17 ),
inference(resolution,[],[f17720,f22123]) ).
fof(f22197,plain,
( v3_struct_0(sK55)
| sP3(sK55)
| ~ l3_lattices(sK55) ),
inference(resolution,[],[f17729,f17351]) ).
fof(f22200,plain,
( sP3(sK55)
| ~ l3_lattices(sK55) ),
inference(forward_subsumption_resolution,[],[f22197,f17352]) ).
fof(f22201,plain,
( ~ l3_lattices(sK55)
| spl612_17 ),
inference(forward_subsumption_resolution,[],[f22200,f22187]) ).
fof(f22202,plain,
( $false
| spl612_17 ),
inference(forward_subsumption_resolution,[],[f22201,f17349]) ).
fof(f22203,plain,
spl612_17,
inference(avatar_contradiction_clause,[],[f22202]) ).
fof(f22205,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK55)))
| ~ m1_filter_0(X0,k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55)) )
| spl612_18 ),
inference(forward_subsumption_resolution,[],[f22155,f22126]) ).
fof(f22211,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK55)))
| ~ m1_filter_0(X0,k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55)) )
| ~ spl612_17
| spl612_18 ),
inference(forward_subsumption_resolution,[],[f22205,f22122]) ).
fof(f22216,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK55)))
| ~ m1_filter_0(X0,k1_lattice2(sK55)) )
| ~ spl612_16
| ~ spl612_17
| spl612_18 ),
inference(forward_subsumption_resolution,[],[f22211,f22118]) ).
fof(f22354,plain,
( v3_struct_0(sK55)
| v13_lattices(sK55)
| ~ l3_lattices(sK55) ),
inference(resolution,[],[f18149,f17350]) ).
fof(f22355,plain,
( v13_lattices(sK55)
| ~ l3_lattices(sK55) ),
inference(forward_subsumption_resolution,[],[f22354,f17352]) ).
fof(f22356,plain,
v13_lattices(sK55),
inference(forward_subsumption_resolution,[],[f22355,f17349]) ).
fof(f22419,definition,
( spl612_34
<=> v17_lattices(k1_lattice2(sK55)) ),
introduced(definition,[new_symbols(definition,[spl612_34])],[avatar_definition]) ).
fof(f22420,plain,
( v17_lattices(k1_lattice2(sK55))
| ~ spl612_34 ),
inference(avatar_component_clause,[],[f22419]) ).
fof(f22421,plain,
( ~ v17_lattices(k1_lattice2(sK55))
| spl612_34 ),
inference(avatar_component_clause,[],[f22419]) ).
fof(f22437,plain,
( v3_struct_0(sK55)
| ~ v10_lattices(sK55)
| ~ v17_lattices(sK55)
| ~ l3_lattices(sK55)
| spl612_34 ),
inference(resolution,[],[f21895,f22421]) ).
fof(f22451,plain,
( ~ v10_lattices(sK55)
| ~ v17_lattices(sK55)
| ~ l3_lattices(sK55)
| spl612_34 ),
inference(forward_subsumption_resolution,[],[f22437,f17352]) ).
fof(f22458,plain,
( ~ v17_lattices(sK55)
| ~ l3_lattices(sK55)
| spl612_34 ),
inference(forward_subsumption_resolution,[],[f22451,f17351]) ).
fof(f22460,plain,
( ~ l3_lattices(sK55)
| spl612_34 ),
inference(forward_subsumption_resolution,[],[f22458,f17350]) ).
fof(f22461,plain,
( $false
| spl612_34 ),
inference(forward_subsumption_resolution,[],[f22460,f17349]) ).
fof(f22462,plain,
spl612_34,
inference(avatar_contradiction_clause,[],[f22461]) ).
fof(f22467,plain,
( v3_struct_0(k1_lattice2(sK55))
| v14_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_34 ),
inference(resolution,[],[f22420,f18148]) ).
fof(f22472,plain,
( v14_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| spl612_18
| ~ spl612_34 ),
inference(forward_subsumption_resolution,[],[f22467,f22126]) ).
fof(f22477,plain,
( v14_lattices(k1_lattice2(sK55))
| ~ spl612_16
| spl612_18
| ~ spl612_34 ),
inference(forward_subsumption_resolution,[],[f22472,f22118]) ).
fof(f22650,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,sK162(X1,X0,X2))
| r2_hidden(X2,sK162(X1,X0,X2))
| X0 = X2
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f17366,f18189]) ).
fof(f24057,plain,
( v3_struct_0(sK55)
| ~ v10_lattices(sK55)
| k6_lattices(k1_lattice2(sK55)) = k5_lattices(sK55)
| ~ l3_lattices(sK55) ),
inference(resolution,[],[f17696,f22356]) ).
fof(f24062,plain,
( ~ v10_lattices(sK55)
| k6_lattices(k1_lattice2(sK55)) = k5_lattices(sK55)
| ~ l3_lattices(sK55) ),
inference(forward_subsumption_resolution,[],[f24057,f17352]) ).
fof(f24065,plain,
( k6_lattices(k1_lattice2(sK55)) = k5_lattices(sK55)
| ~ l3_lattices(sK55) ),
inference(forward_subsumption_resolution,[],[f24062,f17351]) ).
fof(f24067,plain,
k6_lattices(k1_lattice2(sK55)) = k5_lattices(sK55),
inference(forward_subsumption_resolution,[],[f24065,f17349]) ).
fof(f24073,plain,
! [X0] :
( r2_hidden(k5_lattices(sK55),X0)
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v14_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ m1_filter_0(X0,k1_lattice2(sK55)) ),
inference(superposition,[],[f21875,f24067]) ).
fof(f24076,plain,
( ! [X0] :
( r2_hidden(k5_lattices(sK55),X0)
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v14_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ m1_filter_0(X0,k1_lattice2(sK55)) )
| spl612_18 ),
inference(forward_subsumption_resolution,[],[f24073,f22126]) ).
fof(f24079,plain,
( ! [X0] :
( r2_hidden(k5_lattices(sK55),X0)
| ~ v14_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ m1_filter_0(X0,k1_lattice2(sK55)) )
| ~ spl612_17
| spl612_18 ),
inference(forward_subsumption_resolution,[],[f24076,f22122]) ).
fof(f24082,plain,
( ! [X0] :
( r2_hidden(k5_lattices(sK55),X0)
| ~ l3_lattices(k1_lattice2(sK55))
| ~ m1_filter_0(X0,k1_lattice2(sK55)) )
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34 ),
inference(forward_subsumption_resolution,[],[f24079,f22477]) ).
fof(f24085,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK55))
| r2_hidden(k5_lattices(sK55),X0) )
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34 ),
inference(forward_subsumption_resolution,[],[f24082,f22118]) ).
fof(f30670,plain,
( ! [X0,X1] :
( r2_hidden(k5_lattices(sK55),sK162(k1_lattice2(sK55),X0,X1))
| X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK55)))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55)) )
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34 ),
inference(resolution,[],[f24085,f18186]) ).
fof(f30673,plain,
( ! [X0,X1] :
( r2_hidden(k5_lattices(sK55),sK162(k1_lattice2(sK55),X0,X1))
| X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK55)))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55)) )
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34 ),
inference(forward_subsumption_resolution,[],[f30670,f22126]) ).
fof(f30681,plain,
( ! [X0,X1] :
( r2_hidden(k5_lattices(sK55),sK162(k1_lattice2(sK55),X0,X1))
| X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK55)))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55)) )
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34 ),
inference(forward_subsumption_resolution,[],[f30673,f22122]) ).
fof(f30688,plain,
( ! [X0,X1] :
( r2_hidden(k5_lattices(sK55),sK162(k1_lattice2(sK55),X0,X1))
| X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK55)))
| ~ l3_lattices(k1_lattice2(sK55)) )
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34 ),
inference(forward_subsumption_resolution,[],[f30681,f22420]) ).
fof(f30695,plain,
( ! [X0,X1] :
( r2_hidden(k5_lattices(sK55),sK162(k1_lattice2(sK55),X0,X1))
| X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK55))) )
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34 ),
inference(forward_subsumption_resolution,[],[f30688,f22118]) ).
fof(f30702,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK55))
| r2_hidden(k5_lattices(sK55),sK162(k1_lattice2(sK55),X0,X1))
| X0 = X1
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK55))) )
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34 ),
inference(forward_demodulation,[],[f30695,f22113]) ).
fof(f30704,plain,
( ! [X0,X1] :
( r2_hidden(k5_lattices(sK55),sK162(k1_lattice2(sK55),X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK55))
| ~ m1_subset_1(X0,u1_struct_0(sK55))
| X0 = X1 )
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34 ),
inference(forward_demodulation,[],[f30702,f22113]) ).
fof(f63065,definition,
( spl612_1869
<=> r2_hidden(sK56,sK162(k1_lattice2(sK55),sK57,sK56)) ),
introduced(definition,[new_symbols(definition,[spl612_1869])],[avatar_definition]) ).
fof(f63066,plain,
( ~ r2_hidden(sK56,sK162(k1_lattice2(sK55),sK57,sK56))
| spl612_1869 ),
inference(avatar_component_clause,[],[f63065]) ).
fof(f63067,plain,
( r2_hidden(sK56,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_1869 ),
inference(avatar_component_clause,[],[f63065]) ).
fof(f66858,plain,
( m1_subset_1(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| sK56 = sK57
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| spl612_1869 ),
inference(resolution,[],[f63066,f22650]) ).
fof(f66947,definition,
( spl612_1948
<=> m1_subset_1(sK162(k1_lattice2(sK55),sK57,sK56),k1_zfmisc_1(u1_struct_0(sK55))) ),
introduced(definition,[new_symbols(definition,[spl612_1948])],[avatar_definition]) ).
fof(f66948,plain,
( m1_subset_1(sK162(k1_lattice2(sK55),sK57,sK56),k1_zfmisc_1(u1_struct_0(sK55)))
| ~ spl612_1948 ),
inference(avatar_component_clause,[],[f66947]) ).
fof(f66949,plain,
( ~ m1_subset_1(sK162(k1_lattice2(sK55),sK57,sK56),k1_zfmisc_1(u1_struct_0(sK55)))
| spl612_1948 ),
inference(avatar_component_clause,[],[f66947]) ).
fof(f66956,plain,
( ~ m1_filter_0(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| spl612_1948 ),
inference(resolution,[],[f66949,f22216]) ).
fof(f67052,definition,
( spl612_1952
<=> r2_hidden(k5_lattices(sK55),sK162(k1_lattice2(sK55),sK57,sK56)) ),
introduced(definition,[new_symbols(definition,[spl612_1952])],[avatar_definition]) ).
fof(f67053,plain,
( r2_hidden(k5_lattices(sK55),sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_1952 ),
inference(avatar_component_clause,[],[f67052]) ).
fof(f67054,plain,
( ~ r2_hidden(k5_lattices(sK55),sK162(k1_lattice2(sK55),sK57,sK56))
| spl612_1952 ),
inference(avatar_component_clause,[],[f67052]) ).
fof(f67064,plain,
( ~ m1_subset_1(sK56,u1_struct_0(sK55))
| ~ m1_subset_1(sK57,u1_struct_0(sK55))
| sK56 = sK57
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1952 ),
inference(resolution,[],[f67054,f30704]) ).
fof(f67071,plain,
( ~ m1_subset_1(sK57,u1_struct_0(sK55))
| sK56 = sK57
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1952 ),
inference(forward_subsumption_resolution,[],[f67064,f17353]) ).
fof(f67073,plain,
( sK56 = sK57
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1952 ),
inference(forward_subsumption_resolution,[],[f67071,f17354]) ).
fof(f67075,plain,
( $false
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1952 ),
inference(forward_subsumption_resolution,[],[f67073,f17357]) ).
fof(f67076,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1952 ),
inference(avatar_contradiction_clause,[],[f67075]) ).
fof(f67089,plain,
( ~ v1_xboole_0(sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_1952 ),
inference(resolution,[],[f67053,f17390]) ).
fof(f67311,plain,
( m1_subset_1(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| spl612_1869 ),
inference(forward_subsumption_resolution,[],[f66858,f17357]) ).
fof(f67314,definition,
( spl612_1960
<=> v1_xboole_0(sK162(k1_lattice2(sK55),sK57,sK56)) ),
introduced(definition,[new_symbols(definition,[spl612_1960])],[avatar_definition]) ).
fof(f67315,plain,
( ~ v1_xboole_0(sK162(k1_lattice2(sK55),sK57,sK56))
| spl612_1960 ),
inference(avatar_component_clause,[],[f67314]) ).
fof(f67342,plain,
( ~ spl612_1960
| ~ spl612_1952 ),
inference(avatar_split_clause,[],[f67089,f67052,f67314]) ).
fof(f67370,plain,
( m1_subset_1(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| spl612_18
| spl612_1869 ),
inference(forward_subsumption_resolution,[],[f67311,f22126]) ).
fof(f67388,plain,
( m1_subset_1(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_17
| spl612_18
| spl612_1869 ),
inference(forward_subsumption_resolution,[],[f67370,f22122]) ).
fof(f67401,plain,
( m1_subset_1(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1869 ),
inference(forward_subsumption_resolution,[],[f67388,f22420]) ).
fof(f67410,plain,
( m1_subset_1(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1869 ),
inference(forward_subsumption_resolution,[],[f67401,f22118]) ).
fof(f67418,plain,
( ~ m1_subset_1(sK56,u1_struct_0(sK55))
| m1_subset_1(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1869 ),
inference(forward_demodulation,[],[f67410,f22113]) ).
fof(f67424,plain,
( m1_subset_1(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1869 ),
inference(forward_subsumption_resolution,[],[f67418,f17353]) ).
fof(f67432,plain,
( ~ m1_subset_1(sK57,u1_struct_0(sK55))
| m1_subset_1(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1869 ),
inference(forward_demodulation,[],[f67424,f22113]) ).
fof(f67433,plain,
( m1_subset_1(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1869 ),
inference(forward_subsumption_resolution,[],[f67432,f17354]) ).
fof(f67461,plain,
( r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| v1_xboole_0(sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1869 ),
inference(resolution,[],[f67433,f17384]) ).
fof(f67462,plain,
( r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1869
| spl612_1960 ),
inference(forward_subsumption_resolution,[],[f67461,f67315]) ).
fof(f68555,plain,
( sK56 = sK57
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| spl612_1948 ),
inference(resolution,[],[f66956,f18186]) ).
fof(f68558,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| spl612_1948 ),
inference(forward_subsumption_resolution,[],[f68555,f17357]) ).
fof(f68560,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| spl612_1948 ),
inference(forward_subsumption_resolution,[],[f68558,f22126]) ).
fof(f68562,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| spl612_1948 ),
inference(forward_subsumption_resolution,[],[f68560,f22122]) ).
fof(f68564,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1948 ),
inference(forward_subsumption_resolution,[],[f68562,f22420]) ).
fof(f68565,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1948 ),
inference(forward_subsumption_resolution,[],[f68564,f22118]) ).
fof(f68566,plain,
( ~ m1_subset_1(sK56,u1_struct_0(sK55))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1948 ),
inference(forward_demodulation,[],[f68565,f22113]) ).
fof(f68567,plain,
( ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1948 ),
inference(forward_subsumption_resolution,[],[f68566,f17353]) ).
fof(f68568,plain,
( ~ m1_subset_1(sK57,u1_struct_0(sK55))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1948 ),
inference(forward_demodulation,[],[f68567,f22113]) ).
fof(f68569,plain,
( $false
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1948 ),
inference(forward_subsumption_resolution,[],[f68568,f17354]) ).
fof(f68570,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1948 ),
inference(avatar_contradiction_clause,[],[f68569]) ).
fof(f68582,plain,
( sK162(k1_lattice2(sK55),sK57,sK56) = k7_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56))
| v3_struct_0(sK55)
| ~ v10_lattices(sK55)
| ~ l3_lattices(sK55)
| ~ spl612_1948 ),
inference(resolution,[],[f66948,f20966]) ).
fof(f68591,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK162(k1_lattice2(sK55),sK57,sK56))
| m1_subset_1(X0,u1_struct_0(sK55)) )
| ~ spl612_1948 ),
inference(resolution,[],[f66948,f17364]) ).
fof(f68598,plain,
( sK162(k1_lattice2(sK55),sK57,sK56) = k7_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ v10_lattices(sK55)
| ~ l3_lattices(sK55)
| ~ spl612_1948 ),
inference(forward_subsumption_resolution,[],[f68582,f17352]) ).
fof(f68604,plain,
( sK162(k1_lattice2(sK55),sK57,sK56) = k7_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ l3_lattices(sK55)
| ~ spl612_1948 ),
inference(forward_subsumption_resolution,[],[f68598,f17351]) ).
fof(f68609,plain,
( sK162(k1_lattice2(sK55),sK57,sK56) = k7_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_1948 ),
inference(forward_subsumption_resolution,[],[f68604,f17349]) ).
fof(f76839,definition,
( spl612_2410
<=> m2_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),sK55) ),
introduced(definition,[new_symbols(definition,[spl612_2410])],[avatar_definition]) ).
fof(f76840,plain,
( m2_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),sK55)
| ~ spl612_2410 ),
inference(avatar_component_clause,[],[f76839]) ).
fof(f76841,plain,
( ~ m2_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),sK55)
| spl612_2410 ),
inference(avatar_component_clause,[],[f76839]) ).
fof(f76851,definition,
( spl612_2412
<=> r2_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56)) ),
introduced(definition,[new_symbols(definition,[spl612_2412])],[avatar_definition]) ).
fof(f76852,plain,
( r2_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_2412 ),
inference(avatar_component_clause,[],[f76851]) ).
fof(f76853,plain,
( ~ r2_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56))
| spl612_2412 ),
inference(avatar_component_clause,[],[f76851]) ).
fof(f76863,definition,
( spl612_2414
<=> m1_filter_0(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55)) ),
introduced(definition,[new_symbols(definition,[spl612_2414])],[avatar_definition]) ).
fof(f76864,plain,
( m1_filter_0(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| ~ spl612_2414 ),
inference(avatar_component_clause,[],[f76863]) ).
fof(f76865,plain,
( ~ m1_filter_0(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| spl612_2414 ),
inference(avatar_component_clause,[],[f76863]) ).
fof(f76884,plain,
( sK56 = sK57
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| spl612_2414 ),
inference(resolution,[],[f76865,f18186]) ).
fof(f76887,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76884,f17357]) ).
fof(f76889,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| spl612_18
| spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76887,f22126]) ).
fof(f76891,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_17
| spl612_18
| spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76889,f22122]) ).
fof(f76893,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76891,f22420]) ).
fof(f76895,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76893,f22118]) ).
fof(f76896,plain,
( ~ m1_subset_1(sK56,u1_struct_0(sK55))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_2414 ),
inference(forward_demodulation,[],[f76895,f22113]) ).
fof(f76897,plain,
( ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76896,f17353]) ).
fof(f76898,plain,
( ~ m1_subset_1(sK57,u1_struct_0(sK55))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_2414 ),
inference(forward_demodulation,[],[f76897,f22113]) ).
fof(f76899,plain,
( $false
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76898,f17354]) ).
fof(f76900,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_2414 ),
inference(avatar_contradiction_clause,[],[f76899]) ).
fof(f76920,plain,
( m1_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_2414 ),
inference(resolution,[],[f76864,f20640]) ).
fof(f76926,plain,
( m1_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| spl612_18
| ~ spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76920,f22126]) ).
fof(f76943,plain,
( m1_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_17
| spl612_18
| ~ spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76926,f22122]) ).
fof(f76950,plain,
( m1_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76943,f22118]) ).
fof(f76958,plain,
( m2_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),sK55)
| v3_struct_0(sK55)
| ~ v10_lattices(sK55)
| ~ l3_lattices(sK55)
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_2414 ),
inference(resolution,[],[f76950,f20636]) ).
fof(f76962,plain,
( v3_struct_0(sK55)
| ~ v10_lattices(sK55)
| ~ l3_lattices(sK55)
| ~ spl612_16
| ~ spl612_17
| spl612_18
| spl612_2410
| ~ spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76958,f76841]) ).
fof(f76963,plain,
( ~ v10_lattices(sK55)
| ~ l3_lattices(sK55)
| ~ spl612_16
| ~ spl612_17
| spl612_18
| spl612_2410
| ~ spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76962,f17352]) ).
fof(f76964,plain,
( ~ l3_lattices(sK55)
| ~ spl612_16
| ~ spl612_17
| spl612_18
| spl612_2410
| ~ spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76963,f17351]) ).
fof(f76965,plain,
( $false
| ~ spl612_16
| ~ spl612_17
| spl612_18
| spl612_2410
| ~ spl612_2414 ),
inference(forward_subsumption_resolution,[],[f76964,f17349]) ).
fof(f76966,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| spl612_2410
| ~ spl612_2414 ),
inference(avatar_contradiction_clause,[],[f76965]) ).
fof(f76978,plain,
( v3_struct_0(sK55)
| ~ v10_lattices(sK55)
| ~ l3_lattices(sK55)
| k7_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56)) = k15_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_2410 ),
inference(resolution,[],[f76840,f18201]) ).
fof(f76984,plain,
( ~ v10_lattices(sK55)
| ~ l3_lattices(sK55)
| k7_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56)) = k15_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_2410 ),
inference(forward_subsumption_resolution,[],[f76978,f17352]) ).
fof(f76987,plain,
( ~ l3_lattices(sK55)
| k7_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56)) = k15_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_2410 ),
inference(forward_subsumption_resolution,[],[f76984,f17351]) ).
fof(f76991,plain,
( k7_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56)) = k15_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_2410 ),
inference(forward_subsumption_resolution,[],[f76987,f17349]) ).
fof(f76993,plain,
( sK162(k1_lattice2(sK55),sK57,sK56) = k15_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_1948
| ~ spl612_2410 ),
inference(forward_demodulation,[],[f76991,f68609]) ).
fof(f77003,plain,
( sK56 = sK57
| ~ r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_1869 ),
inference(resolution,[],[f63067,f18188]) ).
fof(f77011,plain,
( ~ r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_1869 ),
inference(forward_subsumption_resolution,[],[f77003,f17357]) ).
fof(f77012,plain,
( ~ r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| spl612_18
| ~ spl612_1869 ),
inference(forward_subsumption_resolution,[],[f77011,f22126]) ).
fof(f77013,plain,
( ~ r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_17
| spl612_18
| ~ spl612_1869 ),
inference(forward_subsumption_resolution,[],[f77012,f22122]) ).
fof(f77014,plain,
( ~ r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1869 ),
inference(forward_subsumption_resolution,[],[f77013,f22420]) ).
fof(f77015,plain,
( ~ r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1869 ),
inference(forward_subsumption_resolution,[],[f77014,f22118]) ).
fof(f77016,plain,
( ~ m1_subset_1(sK56,u1_struct_0(sK55))
| ~ r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1869 ),
inference(forward_demodulation,[],[f77015,f22113]) ).
fof(f77017,plain,
( ~ r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1869 ),
inference(forward_subsumption_resolution,[],[f77016,f17353]) ).
fof(f77018,plain,
( ~ m1_subset_1(sK57,u1_struct_0(sK55))
| ~ r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1869 ),
inference(forward_demodulation,[],[f77017,f22113]) ).
fof(f77019,plain,
( ~ r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1869
| ~ spl612_1948 ),
inference(forward_subsumption_resolution,[],[f77018,f68591]) ).
fof(f77030,plain,
( ~ v1_filter_0(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| r2_filter_2(sK55,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m2_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),sK55)
| v3_struct_0(sK55)
| ~ v10_lattices(sK55)
| ~ l3_lattices(sK55)
| ~ spl612_1948
| ~ spl612_2410 ),
inference(superposition,[],[f17471,f76993]) ).
fof(f77031,plain,
( ~ v1_filter_0(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| ~ m2_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),sK55)
| v3_struct_0(sK55)
| ~ v10_lattices(sK55)
| ~ l3_lattices(sK55)
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77030,f76853]) ).
fof(f77032,plain,
( ~ v1_filter_0(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| v3_struct_0(sK55)
| ~ v10_lattices(sK55)
| ~ l3_lattices(sK55)
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77031,f76840]) ).
fof(f77033,plain,
( ~ v1_filter_0(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| ~ v10_lattices(sK55)
| ~ l3_lattices(sK55)
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77032,f17352]) ).
fof(f77034,plain,
( ~ v1_filter_0(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| ~ l3_lattices(sK55)
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77033,f17351]) ).
fof(f77035,plain,
( ~ v1_filter_0(sK162(k1_lattice2(sK55),sK57,sK56),k1_lattice2(sK55))
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77034,f17349]) ).
fof(f77048,plain,
( sK56 = sK57
| ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(resolution,[],[f77035,f18191]) ).
fof(f77049,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| v3_struct_0(k1_lattice2(sK55))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77048,f17357]) ).
fof(f77050,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ v10_lattices(k1_lattice2(sK55))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| spl612_18
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77049,f22126]) ).
fof(f77051,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ v17_lattices(k1_lattice2(sK55))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_17
| spl612_18
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77050,f22122]) ).
fof(f77052,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ l3_lattices(k1_lattice2(sK55))
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77051,f22420]) ).
fof(f77053,plain,
( ~ m1_subset_1(sK56,u1_struct_0(k1_lattice2(sK55)))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77052,f22118]) ).
fof(f77054,plain,
( ~ m1_subset_1(sK56,u1_struct_0(sK55))
| ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_demodulation,[],[f77053,f22113]) ).
fof(f77055,plain,
( ~ m1_subset_1(sK57,u1_struct_0(k1_lattice2(sK55)))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77054,f17353]) ).
fof(f77056,plain,
( ~ m1_subset_1(sK57,u1_struct_0(sK55))
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_demodulation,[],[f77055,f22113]) ).
fof(f77057,plain,
( $false
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77056,f17354]) ).
fof(f77058,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(avatar_contradiction_clause,[],[f77057]) ).
fof(f77068,plain,
( ~ r2_hidden(sK56,sK162(k1_lattice2(sK55),sK57,sK56))
| r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m2_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),sK55)
| ~ spl612_2412 ),
inference(resolution,[],[f76852,f17356]) ).
fof(f77069,plain,
( r2_hidden(sK56,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m2_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),sK55)
| ~ spl612_2412 ),
inference(resolution,[],[f76852,f17355]) ).
fof(f77073,plain,
( r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m2_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),sK55)
| ~ spl612_1869
| ~ spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77068,f63067]) ).
fof(f77075,plain,
( ~ m2_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),sK55)
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1869
| ~ spl612_1948
| ~ spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77073,f77019]) ).
fof(f77077,plain,
( $false
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1869
| ~ spl612_1948
| ~ spl612_2410
| ~ spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77075,f76840]) ).
fof(f77078,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1869
| ~ spl612_1948
| ~ spl612_2410
| ~ spl612_2412 ),
inference(avatar_contradiction_clause,[],[f77077]) ).
fof(f77083,plain,
( ~ r2_hidden(sK57,sK162(k1_lattice2(sK55),sK57,sK56))
| ~ m2_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),sK55)
| spl612_1869
| ~ spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77069,f63066]) ).
fof(f77121,plain,
( ~ m2_filter_2(sK162(k1_lattice2(sK55),sK57,sK56),sK55)
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1869
| spl612_1960
| ~ spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77083,f67462]) ).
fof(f77153,plain,
( $false
| ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1869
| spl612_1960
| ~ spl612_2410
| ~ spl612_2412 ),
inference(forward_subsumption_resolution,[],[f77121,f76840]) ).
fof(f77154,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1869
| spl612_1960
| ~ spl612_2410
| ~ spl612_2412 ),
inference(avatar_contradiction_clause,[],[f77153]) ).
cnf(s17,plain,
spl612_16,
inference(sat_conversion,[],[f22169]) ).
cnf(s19,plain,
~ spl612_18,
inference(sat_conversion,[],[f22180]) ).
cnf(s20,plain,
spl612_17,
inference(sat_conversion,[],[f22203]) ).
cnf(s34,plain,
spl612_34,
inference(sat_conversion,[],[f22462]) ).
cnf(s1832,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1952 ),
inference(sat_conversion,[],[f67076]) ).
cnf(s1868,plain,
( ~ spl612_1952
| ~ spl612_1960 ),
inference(sat_conversion,[],[f67342]) ).
cnf(s1906,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1948 ),
inference(sat_conversion,[],[f68570]) ).
cnf(s2341,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_2414 ),
inference(sat_conversion,[],[f76900]) ).
cnf(s2344,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| spl612_2410
| ~ spl612_2414 ),
inference(sat_conversion,[],[f76966]) ).
cnf(s2346,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1948
| ~ spl612_2410
| spl612_2412 ),
inference(sat_conversion,[],[f77058]) ).
cnf(s2347,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| ~ spl612_1869
| ~ spl612_1948
| ~ spl612_2410
| ~ spl612_2412 ),
inference(sat_conversion,[],[f77078]) ).
cnf(s2356,plain,
( ~ spl612_16
| ~ spl612_17
| spl612_18
| ~ spl612_34
| spl612_1869
| spl612_1960
| ~ spl612_2410
| ~ spl612_2412 ),
inference(sat_conversion,[],[f77154]) ).
cnf(s2417,plain,
spl612_2414,
inference(rat,[],[s2341,s19,s34,s20,s17]) ).
cnf(s2419,plain,
spl612_1948,
inference(rat,[],[s1906,s19,s34,s20,s17]) ).
cnf(s2420,plain,
spl612_1952,
inference(rat,[],[s1832,s19,s34,s20,s17]) ).
cnf(s2447,plain,
spl612_2410,
inference(rat,[],[s2344,s17,s19,s20,s2417]) ).
cnf(s2449,plain,
~ spl612_1960,
inference(rat,[],[s1868,s2420]) ).
cnf(s2482,plain,
spl612_2412,
inference(rat,[],[s2346,s2419,s17,s19,s34,s20,s2447]) ).
cnf(s2488,plain,
spl612_1869,
inference(rat,[],[s2356,s2482,s2447,s17,s19,s34,s20,s2449]) ).
cnf(s2502,plain,
$false,
inference(rat,[],[s2347,s2419,s2447,s17,s19,s34,s20,s2482,s2488]) ).
fof(f77171,plain,
$false,
inference(avatar_sat_refutation,[],[s2502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT324+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:37:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.78/3.62 % (4057748)Detected formulas, will run a generic FOF schedule.
% 14.78/3.62 % (4057755)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=3458320465:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 14.78/3.62 % (4057758)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1119048301:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 14.78/3.62 % (4057759)dis-21_1_sil=8000:lcm=predicate:random_seed=2565118890: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)
% 14.78/3.62 % (4057756)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4080927472:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 14.78/3.62 % (4057753)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=3252110273:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 14.78/3.62 % (4057754)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=536749198:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 14.78/3.62 % (4057757)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4074437308:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 14.78/3.62 % (4057758)Instruction limit reached!
% 14.78/3.62 % (4057758)------------------------------
% 14.78/3.62 % (4057758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/3.62 % (4057758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/3.62 % (4057758)CaDiCaL version: 2.1.3
% 14.78/3.62 % (4057758)Termination reason: Instruction limit
% 14.78/3.62 % (4057758)Termination phase: Property scanning
% 14.78/3.62 % (4057758)Time elapsed: 0.059 s
% 14.78/3.62 % (4057758)Peak memory usage: 103 MB
% 14.78/3.62 % (4057758)Instructions burned: 139 (million)
% 14.78/3.62 % (4057756)Refutation not found, incomplete strategy
% 14.78/3.62 % (4057756)------------------------------
% 14.78/3.62 % (4057756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/3.62 % (4057756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/3.62 % (4057756)CaDiCaL version: 2.1.3
% 14.78/3.62 % (4057756)Termination reason: Refutation not found, incomplete strategy
% 14.78/3.62 % (4057756)Time elapsed: 0.067 s
% 14.78/3.62 % (4057756)Peak memory usage: 107 MB
% 14.78/3.62 % (4057756)Instructions burned: 83 (million)
% 14.78/3.62 % (4057759)Instruction limit reached!
% 14.78/3.62 % (4057759)------------------------------
% 14.78/3.62 % (4057759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/3.62 % (4057759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/3.62 % (4057759)CaDiCaL version: 2.1.3
% 14.78/3.62 % (4057759)Termination reason: Instruction limit
% 14.78/3.62 % (4057759)Termination phase: Preprocessing 1
% 14.78/3.62 % (4057759)Time elapsed: 0.093 s
% 14.78/3.62 % (4057759)Peak memory usage: 104 MB
% 14.78/3.62 % (4057759)Instructions burned: 129 (million)
% 14.78/3.62 % (4057757)Instruction limit reached!
% 14.78/3.62 % (4057757)------------------------------
% 14.78/3.62 % (4057757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/3.62 % (4057757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/3.62 % (4057757)CaDiCaL version: 2.1.3
% 14.78/3.62 % (4057757)Termination reason: Instruction limit
% 14.78/3.62 % (4057757)Termination phase: Function definition elimination
% 14.78/3.62 % (4057757)Time elapsed: 0.090 s
% 14.78/3.62 % (4057757)Peak memory usage: 106 MB
% 14.78/3.62 % (4057757)Instructions burned: 119 (million)
% 14.78/3.62 % (4057767)lrs+10_1_sil=8000:sp=occurrence:random_seed=4196808486:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 14.78/3.62 % (4057769)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2231224057:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 14.78/3.62 % (4057768)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2480178340:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 14.78/3.62 % (4057768)Instruction limit reached!
% 14.78/3.62 % (4057768)------------------------------
% 14.78/3.62 % (4057768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/3.62 % (4057768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.94/4.48 % (4057768)CaDiCaL version: 2.1.3
% 20.94/4.48 % (4057768)Termination reason: Instruction limit
% 20.94/4.48 % (4057768)Termination phase: Property scanning
% 20.94/4.48 % (4057768)Time elapsed: 0.068 s
% 20.94/4.48 % (4057768)Peak memory usage: 103 MB
% 20.94/4.48 % (4057768)Instructions burned: 159 (million)
% 20.94/4.48 % (4057756)------------------------------
% 20.94/4.48 % (4057756)------------------------------
% 20.94/4.48 % (4057767)Instruction limit reached!
% 20.94/4.48 % (4057767)------------------------------
% 20.94/4.48 % (4057767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.94/4.48 % (4057767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.94/4.48 % (4057767)CaDiCaL version: 2.1.3
% 20.94/4.48 % (4057767)Termination reason: Instruction limit
% 20.94/4.48 % (4057767)Termination phase: Saturation
% 20.94/4.48 % (4057767)Time elapsed: 0.197 s
% 20.94/4.48 % (4057767)Peak memory usage: 110 MB
% 20.94/4.48 % (4057767)Instructions burned: 285 (million)
% 20.94/4.48 % (4057773)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=1171318003:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 20.94/4.48 % (4057769)Instruction limit reached!
% 20.94/4.48 % (4057769)------------------------------
% 20.94/4.48 % (4057769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.94/4.48 % (4057769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.94/4.48 % (4057769)CaDiCaL version: 2.1.3
% 20.94/4.48 % (4057769)Termination reason: Instruction limit
% 20.94/4.48 % (4057769)Termination phase: Saturation
% 20.94/4.48 % (4057769)Time elapsed: 0.221 s
% 20.94/4.48 % (4057769)Peak memory usage: 109 MB
% 20.94/4.48 % (4057769)Instructions burned: 326 (million)
% 20.94/4.48 % (4057774)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3031781738:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 20.94/4.48 % (4057775)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=680782385:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 20.94/4.48 % (4057773)Instruction limit reached!
% 20.94/4.48 % (4057773)------------------------------
% 20.94/4.48 % (4057773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.94/4.48 % (4057773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.94/4.48 % (4057773)CaDiCaL version: 2.1.3
% 20.94/4.48 % (4057773)Termination reason: Instruction limit
% 20.94/4.48 % (4057773)Termination phase: SInE selection
% 20.94/4.48 % (4057773)Time elapsed: 0.126 s
% 20.94/4.48 % (4057773)Peak memory usage: 103 MB
% 20.94/4.48 % (4057773)Instructions burned: 249 (million)
% 20.94/4.48 % (4057778)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2121681542:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 20.94/4.48 % (4057774)Instruction limit reached!
% 20.94/4.48 % (4057774)------------------------------
% 20.94/4.48 % (4057774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.94/4.48 % (4057774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.94/4.48 % (4057774)CaDiCaL version: 2.1.3
% 20.94/4.48 % (4057774)Termination reason: Instruction limit
% 20.94/4.48 % (4057774)Termination phase: Saturation
% 20.94/4.48 % (4057774)Time elapsed: 0.188 s
% 20.94/4.48 % (4057774)Peak memory usage: 109 MB
% 20.94/4.48 % (4057774)Instructions burned: 295 (million)
% 20.94/4.48 % (4057780)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1049354138:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 20.94/4.48 % (4057778)Instruction limit reached!
% 20.94/4.48 % (4057778)------------------------------
% 20.94/4.48 % (4057778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.94/4.48 % (4057778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.94/4.48 % (4057778)CaDiCaL version: 2.1.3
% 20.94/4.48 % (4057778)Termination reason: Instruction limit
% 20.94/4.48 % (4057778)Termination phase: Preprocessing 3
% 20.94/4.48 % (4057778)Time elapsed: 0.099 s
% 20.94/4.48 % (4057778)Peak memory usage: 106 MB
% 20.94/4.48 % (4057778)Instructions burned: 113 (million)
% 20.94/4.48 % (4057782)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2061107521:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 20.94/4.48 % (4057780)Instruction limit reached!
% 20.94/4.48 % (4057780)------------------------------
% 62.58/10.23 % (4057780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.58/10.23 % (4057780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.58/10.23 % (4057780)CaDiCaL version: 2.1.3
% 62.58/10.23 % (4057780)Termination reason: Instruction limit
% 62.58/10.23 % (4057780)Termination phase: Preprocessing 2
% 62.58/10.23 % (4057780)Time elapsed: 0.099 s
% 62.58/10.23 % (4057780)Peak memory usage: 106 MB
% 62.58/10.23 % (4057780)Instructions burned: 127 (million)
% 62.58/10.23 % (4057782)Instruction limit reached!
% 62.58/10.23 % (4057782)------------------------------
% 62.58/10.23 % (4057782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.58/10.23 % (4057782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.58/10.23 % (4057782)CaDiCaL version: 2.1.3
% 62.58/10.23 % (4057782)Termination reason: Instruction limit
% 62.58/10.23 % (4057782)Termination phase: Property scanning
% 62.58/10.23 % (4057782)Time elapsed: 0.049 s
% 62.58/10.23 % (4057782)Peak memory usage: 103 MB
% 62.58/10.23 % (4057782)Instructions burned: 116 (million)
% 62.58/10.23 % (4057784)lrs+10_1_sil=8000:sp=occurrence:random_seed=1973214888:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 62.58/10.23 % (4057786)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=11542143:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 62.58/10.23 % (4057788)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1648370303:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 62.58/10.23 % (4057786)Instruction limit reached!
% 62.58/10.23 % (4057786)------------------------------
% 62.58/10.23 % (4057786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.58/10.23 % (4057786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.58/10.23 % (4057786)CaDiCaL version: 2.1.3
% 62.58/10.23 % (4057786)Termination reason: Instruction limit
% 62.58/10.23 % (4057786)Termination phase: Saturation
% 62.58/10.23 % (4057786)Time elapsed: 0.270 s
% 62.58/10.23 % (4057786)Peak memory usage: 110 MB
% 62.58/10.23 % (4057786)Instructions burned: 438 (million)
% 62.58/10.23 % (4057791)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3853553965:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 62.58/10.23 % (4057784)Instruction limit reached!
% 62.58/10.23 % (4057784)------------------------------
% 62.58/10.23 % (4057784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.58/10.23 % (4057784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.58/10.23 % (4057784)CaDiCaL version: 2.1.3
% 62.58/10.23 % (4057784)Termination reason: Instruction limit
% 62.58/10.23 % (4057784)Termination phase: Saturation
% 62.58/10.23 % (4057784)Time elapsed: 0.583 s
% 62.58/10.23 % (4057784)Peak memory usage: 121 MB
% 62.58/10.23 % (4057784)Instructions burned: 908 (million)
% 62.58/10.23 % (4057791)Instruction limit reached!
% 62.58/10.23 % (4057791)------------------------------
% 62.58/10.23 % (4057791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.58/10.23 % (4057791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.58/10.23 % (4057791)CaDiCaL version: 2.1.3
% 62.58/10.23 % (4057791)Termination reason: Instruction limit
% 62.58/10.23 % (4057791)Termination phase: Property scanning
% 62.58/10.23 % (4057791)Time elapsed: 0.101 s
% 62.58/10.23 % (4057791)Peak memory usage: 106 MB
% 62.58/10.23 % (4057791)Instructions burned: 136 (million)
% 62.58/10.23 % (4057793)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1011631151:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 62.58/10.23 % (4057794)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2901712535:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 62.58/10.23 % (4057793)Instruction limit reached!
% 62.58/10.23 % (4057793)------------------------------
% 62.58/10.23 % (4057793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.58/10.23 % (4057793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.58/10.23 % (4057793)CaDiCaL version: 2.1.3
% 62.58/10.23 % (4057793)Termination reason: Instruction limit
% 62.58/10.23 % (4057793)Termination phase: Property scanning
% 62.58/10.23 % (4057793)Time elapsed: 0.391 s
% 62.58/10.23 % (4057793)Peak memory usage: 122 MB
% 62.58/10.23 % (4057793)Instructions burned: 592 (million)
% 62.58/10.23 % (4057775)Instruction limit reached!
% 62.58/10.23 % (4057775)------------------------------
% 74.49/12.01 % (4057775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057775)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057775)Termination reason: Instruction limit
% 74.49/12.01 % (4057775)Termination phase: Saturation
% 74.49/12.01 % (4057775)Time elapsed: 1.425 s
% 74.49/12.01 % (4057775)Peak memory usage: 239 MB
% 74.49/12.01 % (4057775)Instructions burned: 2350 (million)
% 74.49/12.01 % (4057797)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1492397272:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 74.49/12.01 % (4057798)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3037517027:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 74.49/12.01 % (4057797)Instruction limit reached!
% 74.49/12.01 % (4057797)------------------------------
% 74.49/12.01 % (4057797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057797)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057797)Termination reason: Instruction limit
% 74.49/12.01 % (4057797)Termination phase: Property scanning
% 74.49/12.01 % (4057797)Time elapsed: 0.054 s
% 74.49/12.01 % (4057797)Peak memory usage: 103 MB
% 74.49/12.01 % (4057797)Instructions burned: 127 (million)
% 74.49/12.01 % (4057798)Instruction limit reached!
% 74.49/12.01 % (4057798)------------------------------
% 74.49/12.01 % (4057798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057798)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057798)Termination reason: Instruction limit
% 74.49/12.01 % (4057798)Termination phase: Property scanning
% 74.49/12.01 % (4057798)Time elapsed: 0.057 s
% 74.49/12.01 % (4057798)Peak memory usage: 103 MB
% 74.49/12.01 % (4057798)Instructions burned: 136 (million)
% 74.49/12.01 % (4057801)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2173758820:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/141Mi)
% 74.49/12.01 % (4057802)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2892157567:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 74.49/12.01 % (4057801)Instruction limit reached!
% 74.49/12.01 % (4057801)------------------------------
% 74.49/12.01 % (4057801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057801)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057801)Termination reason: Instruction limit
% 74.49/12.01 % (4057801)Termination phase: Saturation
% 74.49/12.01 % (4057801)Time elapsed: 0.104 s
% 74.49/12.01 % (4057801)Peak memory usage: 108 MB
% 74.49/12.01 % (4057801)Instructions burned: 142 (million)
% 74.49/12.01 % (4057805)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1518787443:i=6060:aac=none:ins=25_2968 on theBenchmark for (2968ds/6060Mi)
% 74.49/12.01 % (4057802)Instruction limit reached!
% 74.49/12.01 % (4057802)------------------------------
% 74.49/12.01 % (4057802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057802)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057802)Termination reason: Instruction limit
% 74.49/12.01 % (4057802)Termination phase: Saturation
% 74.49/12.01 % (4057802)Time elapsed: 0.270 s
% 74.49/12.01 % (4057802)Peak memory usage: 110 MB
% 74.49/12.01 % (4057802)Instructions burned: 433 (million)
% 74.49/12.01 % (4057807)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2781481256:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2966 on theBenchmark for (2966ds/150Mi)
% 74.49/12.01 % (4057807)Instruction limit reached!
% 74.49/12.01 % (4057807)------------------------------
% 74.49/12.01 % (4057807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057807)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057807)Termination reason: Instruction limit
% 74.49/12.01 % (4057807)Termination phase: Preprocessing 1
% 74.49/12.01 % (4057807)Time elapsed: 0.110 s
% 74.49/12.01 % (4057807)Peak memory usage: 104 MB
% 74.49/12.01 % (4057807)Instructions burned: 150 (million)
% 74.49/12.01 % (4057809)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2395601119:i=14155:bd=all_2963 on theBenchmark for (2963ds/14155Mi)
% 74.49/12.01 % (4057788)Instruction limit reached!
% 74.49/12.01 % (4057788)------------------------------
% 74.49/12.01 % (4057788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057788)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057788)Termination reason: Instruction limit
% 74.49/12.01 % (4057788)Termination phase: Saturation
% 74.49/12.01 % (4057788)Time elapsed: 3.584 s
% 74.49/12.01 % (4057788)Peak memory usage: 306 MB
% 74.49/12.01 % (4057788)Instructions burned: 5204 (million)
% 74.49/12.01 % (4057811)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3648781947:i=667:av=off:fsr=off_2946 on theBenchmark for (2946ds/667Mi)
% 74.49/12.01 % (4057811)Instruction limit reached!
% 74.49/12.01 % (4057811)------------------------------
% 74.49/12.01 % (4057811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057811)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057811)Termination reason: Instruction limit
% 74.49/12.01 % (4057811)Termination phase: NewCNF
% 74.49/12.01 % (4057811)Time elapsed: 0.495 s
% 74.49/12.01 % (4057811)Peak memory usage: 135 MB
% 74.49/12.01 % (4057811)Instructions burned: 667 (million)
% 74.49/12.01 % (4057813)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2469775289:s2a=on:i=185:s2at=1.8:fdi=4_2939 on theBenchmark for (2939ds/185Mi)
% 74.49/12.01 % (4057813)Instruction limit reached!
% 74.49/12.01 % (4057813)------------------------------
% 74.49/12.01 % (4057813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057813)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057813)Termination reason: Instruction limit
% 74.49/12.01 % (4057813)Termination phase: Preprocessing 1
% 74.49/12.01 % (4057813)Time elapsed: 0.142 s
% 74.49/12.01 % (4057813)Peak memory usage: 104 MB
% 74.49/12.01 % (4057813)Instructions burned: 185 (million)
% 74.49/12.01 % (4057815)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2108595673:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2936 on theBenchmark for (2936ds/193Mi)
% 74.49/12.01 % (4057815)Instruction limit reached!
% 74.49/12.01 % (4057815)------------------------------
% 74.49/12.01 % (4057815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057815)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057815)Termination reason: Instruction limit
% 74.49/12.01 % (4057815)Termination phase: Function definition elimination
% 74.49/12.01 % (4057815)Time elapsed: 0.159 s
% 74.49/12.01 % (4057815)Peak memory usage: 105 MB
% 74.49/12.01 % (4057815)Instructions burned: 194 (million)
% 74.49/12.01 % (4057817)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2627009907:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2933 on theBenchmark for (2933ds/4850Mi)
% 74.49/12.01 % (4057805)Instruction limit reached!
% 74.49/12.01 % (4057805)------------------------------
% 74.49/12.01 % (4057805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057805)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057805)Termination reason: Instruction limit
% 74.49/12.01 % (4057805)Termination phase: Saturation
% 74.49/12.01 % (4057805)Time elapsed: 4.409 s
% 74.49/12.01 % (4057805)Peak memory usage: 376 MB
% 74.49/12.01 % (4057805)Instructions burned: 6060 (million)
% 74.49/12.01 % (4057819)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2870472278:i=12111:sd=1:ss=included_2922 on theBenchmark for (2922ds/12111Mi)
% 74.49/12.01 % (4057817)Instruction limit reached!
% 74.49/12.01 % (4057817)------------------------------
% 74.49/12.01 % (4057817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057817)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057817)Termination reason: Instruction limit
% 74.49/12.01 % (4057817)Termination phase: Saturation
% 74.49/12.01 % (4057817)Time elapsed: 2.627 s
% 74.49/12.01 % (4057817)Peak memory usage: 175 MB
% 74.49/12.01 % (4057817)Instructions burned: 4852 (million)
% 74.49/12.01 % (4057821)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=626187804:i=319:kws=precedence:fsr=off_2906 on theBenchmark for (2906ds/319Mi)
% 74.49/12.01 % (4057821)Instruction limit reached!
% 74.49/12.01 % (4057821)------------------------------
% 74.49/12.01 % (4057821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057821)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057821)Termination reason: Instruction limit
% 74.49/12.01 % (4057821)Termination phase: Preprocessing 3
% 74.49/12.01 % (4057821)Time elapsed: 0.232 s
% 74.49/12.01 % (4057821)Peak memory usage: 122 MB
% 74.49/12.01 % (4057821)Instructions burned: 320 (million)
% 74.49/12.01 % (4057823)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=80137541:i=2064:ep=RST_2902 on theBenchmark for (2902ds/2064Mi)
% 74.49/12.01 % (4057794)First to succeed.
% 74.49/12.01 % (4057794)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4057748"
% 74.49/12.01 % (4057823)Instruction limit reached!
% 74.49/12.01 % (4057823)------------------------------
% 74.49/12.01 % (4057823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.49/12.01 % (4057823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.49/12.01 % (4057823)CaDiCaL version: 2.1.3
% 74.49/12.01 % (4057823)Termination reason: Instruction limit
% 74.49/12.01 % (4057823)Termination phase: Saturation
% 74.49/12.01 % (4057823)Time elapsed: 0.985 s
% 74.49/12.01 % (4057823)Peak memory usage: 147 MB
% 74.49/12.01 % (4057823)Instructions burned: 2066 (million)
% 74.49/12.01 % (4057825)dis-1011_128_sil=32000:random_seed=1601762696:i=3706:ep=RST:av=off_2891 on theBenchmark for (2891ds/3706Mi)
% 74.49/12.01 % (4057794)Refutation found. Thanks to Tanya!
% 74.49/12.01 % SZS status Theorem for theBenchmark
% 74.49/12.01 % SZS output start Proof for theBenchmark
% See solution above
% 75.48/12.22 % (4057794)------------------------------
% 75.48/12.22 % (4057794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.48/12.22 % (4057794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.48/12.22 % (4057794)CaDiCaL version: 2.1.3
% 75.48/12.22 % (4057794)Termination reason: Refutation
% 75.48/12.22 % (4057794)Time elapsed: 8.407 s
% 75.48/12.22 % (4057794)Peak memory usage: 253 MB
% 75.48/12.22 % (4057794)Instructions burned: 12813 (million)
% 75.48/12.22 % (4057794)------------------------------
% 75.48/12.22 % (4057794)------------------------------
% 75.48/12.22 % (4057748)Success in time 11.159 s
% 75.48/12.22 % Vampire exiting
%------------------------------------------------------------------------------