%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT298+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:39 AM UTC 2026
% Result : Theorem 67.52s 19.44s
% Output : Refutation 127.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 52
% Syntax : Number of formulae : 337 ( 65 unt; 41 def)
% Number of atoms : 1891 ( 118 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 2645 (1091 ~;1331 |; 131 &)
% ( 47 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 45 ( 43 usr; 33 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 11 con; 0-3 aty)
% Number of variables : 350 ( 0 sgn 332 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f676,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f8580,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( m1_filter_0(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<=> r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_filter_0) ).
fof(f8582,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( m1_filter_0(X1,X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
=> r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) )
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r3_lattices(X0,X2,X3) )
=> r2_hidden(X3,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_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/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
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/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f9427,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
=> ( ( X1 = X3
& X2 = X4 )
=> ( k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4)
& k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_lattice2) ).
fof(f13529,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_2) ).
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/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f13581,axiom,
! [X0] :
( l3_lattices(X0)
=> ! [X1] :
( l3_lattices(X1)
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> k1_lattice2(X0) = k1_lattice2(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_filter_2) ).
fof(f13593,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_filter_2(X2,X0)
=> m1_filter_2(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_filter_2) ).
fof(f13594,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_filter_2(X2,X0)
=> m1_filter_2(X2,X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13593]) ).
fof(f13595,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( m1_filter_0(X1,X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
=> r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) )
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
=> ( ( r2_hidden(X4,X1)
& r3_lattices(X0,X4,X5) )
=> r2_hidden(X5,X1) ) ) ) ) ) ) ),
inference(rectify,[],[f8582]) ).
fof(f13652,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m1_filter_2(X2,X1)
& m1_filter_2(X2,X0) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f13594]) ).
fof(f13653,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m1_filter_2(X2,X1)
& m1_filter_2(X2,X0) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f13652]) ).
fof(f13654,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(f13655,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,[],[f13654]) ).
fof(f13658,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13529]) ).
fof(f13659,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13658]) ).
fof(f13664,plain,
! [X0] :
( ! [X1] :
( k1_lattice2(X0) = k1_lattice2(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13581]) ).
fof(f13665,plain,
! [X0] :
( ! [X1] :
( k1_lattice2(X0) = k1_lattice2(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13664]) ).
fof(f13679,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(f13680,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,[],[f13679]) ).
fof(f13685,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(f13686,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,[],[f13685]) ).
fof(f13691,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_0(X1,X0)
<=> ( ! [X2] :
( ! [X3] :
( r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& ! [X4] :
( ! [X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r3_lattices(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) ) )
| v1_xboole_0(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,[],[f13595]) ).
fof(f13692,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_0(X1,X0)
<=> ( ! [X2] :
( ! [X3] :
( r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& ! [X4] :
( ! [X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r3_lattices(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13691]) ).
fof(f13693,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<=> r2_hidden(k4_lattices(X0,X2,X3),X1) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v1_xboole_0(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,[],[f8580]) ).
fof(f13694,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<=> r2_hidden(k4_lattices(X0,X2,X3),X1) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13693]) ).
fof(f13698,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f676]) ).
fof(f13699,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f13698]) ).
fof(f13749,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4)
& k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0))) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9427]) ).
fof(f13750,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4)
& k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0))) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13749]) ).
fof(f13837,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f14195,definition,
! [X1,X0] :
( sP0(X1,X0)
<=> ! [X4] :
( ! [X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r3_lattices(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f14196,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_0(X1,X0)
<=> ( ! [X2] :
( ! [X3] :
( r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& sP0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f13692,f14195]) ).
fof(f14215,plain,
( ~ m1_filter_2(sK13,sK12)
& m1_filter_2(sK13,sK11)
& g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11)) = g3_lattices(u1_struct_0(sK12),u2_lattices(sK12),u1_lattices(sK12))
& ~ v3_struct_0(sK12)
& v10_lattices(sK12)
& l3_lattices(sK12)
& ~ v3_struct_0(sK11)
& v10_lattices(sK11)
& l3_lattices(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13)],[f13653]) ).
fof(f14217,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,[],[f13655]) ).
fof(f14225,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ sP0(X1,X0) )
& ( ( ! [X2] :
( ! [X3] :
( r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& sP0(X1,X0) )
| ~ m1_filter_0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f14196]) ).
fof(f14226,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ sP0(X1,X0) )
& ( ( ! [X2] :
( ! [X3] :
( r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& sP0(X1,X0) )
| ~ m1_filter_0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14225]) ).
fof(f14227,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ sP0(X1,X0) )
& ( ( ! [X4] :
( ! [X5] :
( r2_hidden(k4_lattices(X0,X4,X5),X1)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
& sP0(X1,X0) )
| ~ m1_filter_0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f14226]) ).
fof(f14228,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ( ~ r2_hidden(k4_lattices(X0,sK21(X0,X1),sK22(X0,X1)),X1)
& r2_hidden(sK21(X0,X1),X1)
& r2_hidden(sK22(X0,X1),X1)
& m1_subset_1(sK22(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK21(X0,X1),u1_struct_0(X0)) )
| ~ sP0(X1,X0) )
& ( ( ! [X4] :
( ! [X5] :
( r2_hidden(k4_lattices(X0,X4,X5),X1)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
& sP0(X1,X0) )
| ~ m1_filter_0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X2,sK21(X0,X1)),skolemize(X3,sK22(X0,X1))],[f14227]) ).
fof(f14229,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(k4_lattices(X0,X2,X3),X1)
| ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) ) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( ( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
| ~ r2_hidden(k4_lattices(X0,X2,X3),X1) )
& ( r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_filter_0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13694]) ).
fof(f14230,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(k4_lattices(X0,X2,X3),X1)
| ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) ) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( ( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
| ~ r2_hidden(k4_lattices(X0,X2,X3),X1) )
& ( r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_filter_0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14229]) ).
fof(f14231,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(k4_lattices(X0,X2,X3),X1)
| ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) ) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( ( ( ( r2_hidden(X4,X1)
& r2_hidden(X5,X1) )
| ~ r2_hidden(k4_lattices(X0,X4,X5),X1) )
& ( r2_hidden(k4_lattices(X0,X4,X5),X1)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1) ) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_filter_0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f14230]) ).
fof(f14232,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ( ( ~ r2_hidden(k4_lattices(X0,sK23(X0,X1),sK24(X0,X1)),X1)
| ~ r2_hidden(sK23(X0,X1),X1)
| ~ r2_hidden(sK24(X0,X1),X1) )
& ( r2_hidden(k4_lattices(X0,sK23(X0,X1),sK24(X0,X1)),X1)
| ( r2_hidden(sK23(X0,X1),X1)
& r2_hidden(sK24(X0,X1),X1) ) )
& m1_subset_1(sK24(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK23(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( ( ( ( r2_hidden(X4,X1)
& r2_hidden(X5,X1) )
| ~ r2_hidden(k4_lattices(X0,X4,X5),X1) )
& ( r2_hidden(k4_lattices(X0,X4,X5),X1)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1) ) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_filter_0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X2,sK23(X0,X1)),skolemize(X3,sK24(X0,X1))],[f14231]) ).
fof(f14438,plain,
l3_lattices(sK11),
inference(cnf_transformation,[],[f14215]) ).
fof(f14439,plain,
v10_lattices(sK11),
inference(cnf_transformation,[],[f14215]) ).
fof(f14440,plain,
~ v3_struct_0(sK11),
inference(cnf_transformation,[],[f14215]) ).
fof(f14441,plain,
l3_lattices(sK12),
inference(cnf_transformation,[],[f14215]) ).
fof(f14442,plain,
v10_lattices(sK12),
inference(cnf_transformation,[],[f14215]) ).
fof(f14443,plain,
~ v3_struct_0(sK12),
inference(cnf_transformation,[],[f14215]) ).
fof(f14444,plain,
g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11)) = g3_lattices(u1_struct_0(sK12),u2_lattices(sK12),u1_lattices(sK12)),
inference(cnf_transformation,[],[f14215]) ).
fof(f14445,plain,
m1_filter_2(sK13,sK11),
inference(cnf_transformation,[],[f14215]) ).
fof(f14446,plain,
~ m1_filter_2(sK13,sK12),
inference(cnf_transformation,[],[f14215]) ).
fof(f14448,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,[],[f14217]) ).
fof(f14449,plain,
! [X0,X1] :
( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14217]) ).
fof(f14452,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13659]) ).
fof(f14455,plain,
! [X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| k1_lattice2(X0) = k1_lattice2(X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13665]) ).
fof(f14470,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13680]) ).
fof(f14473,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,[],[f13686]) ).
fof(f14485,plain,
! [X0,X1,X4,X5] :
( v1_xboole_0(X1)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| r2_hidden(k4_lattices(X0,X4,X5),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14228]) ).
fof(f14492,plain,
! [X0,X1,X4,X5] :
( v1_xboole_0(X1)
| ~ r2_hidden(k4_lattices(X0,X4,X5),X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| r2_hidden(X5,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14232]) ).
fof(f14493,plain,
! [X0,X1,X4,X5] :
( v1_xboole_0(X1)
| ~ r2_hidden(k4_lattices(X0,X4,X5),X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| r2_hidden(X4,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14232]) ).
fof(f14494,plain,
! [X0,X1] :
( m1_subset_1(sK23(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14232]) ).
fof(f14495,plain,
! [X0,X1] :
( m1_subset_1(sK24(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14232]) ).
fof(f14496,plain,
! [X0,X1] :
( r2_hidden(sK24(X0,X1),X1)
| r2_hidden(k4_lattices(X0,sK23(X0,X1),sK24(X0,X1)),X1)
| m1_filter_0(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14232]) ).
fof(f14497,plain,
! [X0,X1] :
( r2_hidden(sK23(X0,X1),X1)
| r2_hidden(k4_lattices(X0,sK23(X0,X1),sK24(X0,X1)),X1)
| m1_filter_0(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14232]) ).
fof(f14498,plain,
! [X0,X1] :
( ~ r2_hidden(sK24(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK23(X0,X1),sK24(X0,X1)),X1)
| ~ r2_hidden(sK23(X0,X1),X1)
| m1_filter_0(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14232]) ).
fof(f14509,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f13699]) ).
fof(f14583,plain,
! [X2,X3,X0,X1,X4] :
( X2 != X4
| X1 != X3
| k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13750]) ).
fof(f14751,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13837]) ).
fof(f15275,definition,
sF168 = u1_struct_0(sK11),
introduced(definition,[new_symbols(definition,[sF168])],[function_definition]) ).
fof(f15276,plain,
u1_struct_0(sK11) = sF168,
inference(reorient_equations,[],[f15275]) ).
fof(f15277,definition,
sF169 = u2_lattices(sK11),
introduced(definition,[new_symbols(definition,[sF169])],[function_definition]) ).
fof(f15278,plain,
u2_lattices(sK11) = sF169,
inference(reorient_equations,[],[f15277]) ).
fof(f15279,definition,
sF170 = u1_lattices(sK11),
introduced(definition,[new_symbols(definition,[sF170])],[function_definition]) ).
fof(f15280,plain,
u1_lattices(sK11) = sF170,
inference(reorient_equations,[],[f15279]) ).
fof(f15281,definition,
sF171 = g3_lattices(sF168,sF169,sF170),
introduced(definition,[new_symbols(definition,[sF171])],[function_definition]) ).
fof(f15282,plain,
g3_lattices(sF168,sF169,sF170) = sF171,
inference(reorient_equations,[],[f15281]) ).
fof(f15283,definition,
sF172 = u1_struct_0(sK12),
introduced(definition,[new_symbols(definition,[sF172])],[function_definition]) ).
fof(f15284,plain,
u1_struct_0(sK12) = sF172,
inference(reorient_equations,[],[f15283]) ).
fof(f15285,definition,
sF173 = u2_lattices(sK12),
introduced(definition,[new_symbols(definition,[sF173])],[function_definition]) ).
fof(f15286,plain,
u2_lattices(sK12) = sF173,
inference(reorient_equations,[],[f15285]) ).
fof(f15287,definition,
sF174 = u1_lattices(sK12),
introduced(definition,[new_symbols(definition,[sF174])],[function_definition]) ).
fof(f15288,plain,
u1_lattices(sK12) = sF174,
inference(reorient_equations,[],[f15287]) ).
fof(f15289,definition,
sF175 = g3_lattices(sF172,sF173,sF174),
introduced(definition,[new_symbols(definition,[sF175])],[function_definition]) ).
fof(f15290,plain,
g3_lattices(sF172,sF173,sF174) = sF175,
inference(reorient_equations,[],[f15289]) ).
fof(f15291,plain,
sF171 = sF175,
inference(definition_folding,[],[f14444,f15290,f15288,f15286,f15284,f15282,f15280,f15278,f15276]) ).
fof(f15301,definition,
( spl176_1
<=> l3_lattices(sK11) ),
introduced(definition,[new_symbols(definition,[spl176_1])],[avatar_definition]) ).
fof(f15326,definition,
( spl176_5
<=> l3_lattices(sK12) ),
introduced(definition,[new_symbols(definition,[spl176_5])],[avatar_definition]) ).
fof(f15349,plain,
spl176_1,
inference(avatar_split_clause,[],[f14438,f15301]) ).
fof(f15355,plain,
spl176_5,
inference(avatar_split_clause,[],[f14441,f15326]) ).
fof(f15361,plain,
( ~ m1_filter_0(sK13,sK12)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) ),
inference(resolution,[],[f14449,f14446]) ).
fof(f15363,definition,
( spl176_9
<=> v10_lattices(sK12) ),
introduced(definition,[new_symbols(definition,[spl176_9])],[avatar_definition]) ).
fof(f15364,plain,
( v10_lattices(sK12)
| ~ spl176_9 ),
inference(avatar_component_clause,[],[f15363]) ).
fof(f15367,definition,
( spl176_10
<=> v3_struct_0(sK12) ),
introduced(definition,[new_symbols(definition,[spl176_10])],[avatar_definition]) ).
fof(f15371,definition,
( spl176_11
<=> m1_filter_0(sK13,sK12) ),
introduced(definition,[new_symbols(definition,[spl176_11])],[avatar_definition]) ).
fof(f15374,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| ~ spl176_11 ),
inference(avatar_split_clause,[],[f15361,f15371,f15367,f15363,f15326]) ).
fof(f15423,plain,
spl176_9,
inference(avatar_split_clause,[],[f14442,f15363]) ).
fof(f15454,definition,
( spl176_16
<=> v10_lattices(sK11) ),
introduced(definition,[new_symbols(definition,[spl176_16])],[avatar_definition]) ).
fof(f15458,definition,
( spl176_17
<=> v3_struct_0(sK11) ),
introduced(definition,[new_symbols(definition,[spl176_17])],[avatar_definition]) ).
fof(f15479,plain,
~ spl176_10,
inference(avatar_split_clause,[],[f14443,f15367]) ).
fof(f15482,plain,
spl176_16,
inference(avatar_split_clause,[],[f14439,f15454]) ).
fof(f15485,plain,
~ spl176_17,
inference(avatar_split_clause,[],[f14440,f15458]) ).
fof(f15488,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(sF172,u2_lattices(sK12),u1_lattices(sK12))
| k1_lattice2(X0) = k1_lattice2(sK12)
| ~ l3_lattices(X0)
| ~ l3_lattices(sK12) ),
inference(superposition,[],[f14455,f15284]) ).
fof(f15519,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(sF172,u2_lattices(sK12),sF174)
| k1_lattice2(X0) = k1_lattice2(sK12)
| ~ l3_lattices(X0)
| ~ l3_lattices(sK12) ),
inference(forward_demodulation,[],[f15488,f15288]) ).
fof(f15531,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(sF172,sF173,sF174)
| k1_lattice2(X0) = k1_lattice2(sK12)
| ~ l3_lattices(X0)
| ~ l3_lattices(sK12) ),
inference(forward_demodulation,[],[f15519,f15286]) ).
fof(f15543,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != sF175
| k1_lattice2(X0) = k1_lattice2(sK12)
| ~ l3_lattices(X0)
| ~ l3_lattices(sK12) ),
inference(forward_demodulation,[],[f15531,f15290]) ).
fof(f15558,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != sF171
| k1_lattice2(X0) = k1_lattice2(sK12)
| ~ l3_lattices(X0)
| ~ l3_lattices(sK12) ),
inference(forward_demodulation,[],[f15543,f15291]) ).
fof(f15561,definition,
( spl176_21
<=> ! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != sF171
| ~ l3_lattices(X0)
| k1_lattice2(X0) = k1_lattice2(sK12) ) ),
introduced(definition,[new_symbols(definition,[spl176_21])],[avatar_definition]) ).
fof(f15562,plain,
( ! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != sF171
| ~ l3_lattices(X0)
| k1_lattice2(X0) = k1_lattice2(sK12) )
| ~ spl176_21 ),
inference(avatar_component_clause,[],[f15561]) ).
fof(f15568,plain,
( ~ spl176_5
| spl176_21 ),
inference(avatar_split_clause,[],[f15558,f15561,f15326]) ).
fof(f15569,plain,
( sF171 != g3_lattices(sF168,u2_lattices(sK11),u1_lattices(sK11))
| ~ l3_lattices(sK11)
| k1_lattice2(sK11) = k1_lattice2(sK12)
| ~ spl176_21 ),
inference(superposition,[],[f15562,f15276]) ).
fof(f15578,plain,
( sF171 != g3_lattices(sF168,u2_lattices(sK11),sF170)
| ~ l3_lattices(sK11)
| k1_lattice2(sK11) = k1_lattice2(sK12)
| ~ spl176_21 ),
inference(forward_demodulation,[],[f15569,f15280]) ).
fof(f15581,plain,
( g3_lattices(sF168,sF169,sF170) != sF171
| ~ l3_lattices(sK11)
| k1_lattice2(sK11) = k1_lattice2(sK12)
| ~ spl176_21 ),
inference(forward_demodulation,[],[f15578,f15278]) ).
fof(f15586,plain,
( sF171 != sF171
| ~ l3_lattices(sK11)
| k1_lattice2(sK11) = k1_lattice2(sK12)
| ~ spl176_21 ),
inference(forward_demodulation,[],[f15581,f15282]) ).
fof(f15587,plain,
( ~ l3_lattices(sK11)
| k1_lattice2(sK11) = k1_lattice2(sK12)
| ~ spl176_21 ),
inference(trivial_inequality_removal,[],[f15586]) ).
fof(f15589,definition,
( spl176_22
<=> k1_lattice2(sK11) = k1_lattice2(sK12) ),
introduced(definition,[new_symbols(definition,[spl176_22])],[avatar_definition]) ).
fof(f15591,plain,
( k1_lattice2(sK11) = k1_lattice2(sK12)
| ~ spl176_22 ),
inference(avatar_component_clause,[],[f15589]) ).
fof(f15594,plain,
( spl176_22
| ~ spl176_1
| ~ spl176_21 ),
inference(avatar_split_clause,[],[f15587,f15561,f15301,f15589]) ).
fof(f15596,plain,
( ~ v1_xboole_0(sK13)
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) ),
inference(resolution,[],[f14452,f14445]) ).
fof(f15600,definition,
( spl176_23
<=> v1_xboole_0(sK13) ),
introduced(definition,[new_symbols(definition,[spl176_23])],[avatar_definition]) ).
fof(f15602,plain,
( ~ v1_xboole_0(sK13)
| spl176_23 ),
inference(avatar_component_clause,[],[f15600]) ).
fof(f15603,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| ~ spl176_23 ),
inference(avatar_split_clause,[],[f15596,f15600,f15458,f15454,f15301]) ).
fof(f15606,plain,
( u1_struct_0(sK12) = u1_struct_0(k1_lattice2(sK11))
| v3_struct_0(sK12)
| ~ l3_lattices(sK12)
| ~ spl176_22 ),
inference(superposition,[],[f14470,f15591]) ).
fof(f15614,plain,
( sF172 = u1_struct_0(k1_lattice2(sK11))
| v3_struct_0(sK12)
| ~ l3_lattices(sK12)
| ~ spl176_22 ),
inference(forward_demodulation,[],[f15606,f15284]) ).
fof(f15630,definition,
( spl176_27
<=> sF172 = u1_struct_0(k1_lattice2(sK11)) ),
introduced(definition,[new_symbols(definition,[spl176_27])],[avatar_definition]) ).
fof(f15632,plain,
( sF172 = u1_struct_0(k1_lattice2(sK11))
| ~ spl176_27 ),
inference(avatar_component_clause,[],[f15630]) ).
fof(f15633,plain,
( ~ spl176_5
| spl176_10
| spl176_27
| ~ spl176_22 ),
inference(avatar_split_clause,[],[f15614,f15589,f15630,f15367,f15326]) ).
fof(f15637,plain,
( u1_struct_0(sK11) = sF172
| v3_struct_0(sK11)
| ~ l3_lattices(sK11)
| ~ spl176_27 ),
inference(superposition,[],[f15632,f14470]) ).
fof(f15660,plain,
( sF168 = sF172
| v3_struct_0(sK11)
| ~ l3_lattices(sK11)
| ~ spl176_27 ),
inference(forward_demodulation,[],[f15637,f15276]) ).
fof(f15682,definition,
( spl176_34
<=> sF168 = sF172 ),
introduced(definition,[new_symbols(definition,[spl176_34])],[avatar_definition]) ).
fof(f15684,plain,
( sF168 = sF172
| ~ spl176_34 ),
inference(avatar_component_clause,[],[f15682]) ).
fof(f15686,plain,
( ~ spl176_1
| spl176_17
| spl176_34
| ~ spl176_27 ),
inference(avatar_split_clause,[],[f15660,f15630,f15682,f15458,f15301]) ).
fof(f16302,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF168))
| ~ m1_filter_0(X0,sK11)
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) ),
inference(superposition,[],[f14473,f15276]) ).
fof(f16307,definition,
( spl176_88
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF168))
| ~ m1_filter_0(X0,sK11) ) ),
introduced(definition,[new_symbols(definition,[spl176_88])],[avatar_definition]) ).
fof(f16308,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF168))
| ~ m1_filter_0(X0,sK11) )
| ~ spl176_88 ),
inference(avatar_component_clause,[],[f16307]) ).
fof(f16309,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| spl176_88 ),
inference(avatar_split_clause,[],[f16302,f16307,f15458,f15454,f15301]) ).
fof(f16315,plain,
! [X2,X3,X0,X1] :
( X0 != X1
| k4_lattices(X2,X0,X3) = k3_lattices(k1_lattice2(X2),X1,X3)
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X2)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(X2)))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(equality_resolution,[],[f14583]) ).
fof(f16316,plain,
! [X2,X0,X1] :
( k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f16315]) ).
fof(f16320,plain,
( ! [X0,X1] :
( k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK11)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK11)))
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_22 ),
inference(superposition,[],[f16316,f15591]) ).
fof(f16322,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF172)
| k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK11)))
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_22
| ~ spl176_27 ),
inference(forward_demodulation,[],[f16320,f15632]) ).
fof(f16324,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK11)))
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_22
| ~ spl176_27
| ~ spl176_34 ),
inference(forward_demodulation,[],[f16322,f15684]) ).
fof(f16326,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF172)
| ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_22
| ~ spl176_27
| ~ spl176_34 ),
inference(forward_demodulation,[],[f16324,f15632]) ).
fof(f16328,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_22
| ~ spl176_27
| ~ spl176_34 ),
inference(forward_demodulation,[],[f16326,f15684]) ).
fof(f16330,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF172)
| ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_22
| ~ spl176_27
| ~ spl176_34 ),
inference(forward_demodulation,[],[f16328,f15284]) ).
fof(f16332,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_22
| ~ spl176_27
| ~ spl176_34 ),
inference(forward_demodulation,[],[f16330,f15684]) ).
fof(f16333,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,sF168)
| k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_22
| ~ spl176_27
| ~ spl176_34 ),
inference(duplicate_literal_removal,[],[f16332]) ).
fof(f16336,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF172)
| ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,sF168)
| k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_22
| ~ spl176_27
| ~ spl176_34 ),
inference(forward_demodulation,[],[f16333,f15284]) ).
fof(f16338,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,sF168)
| k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_22
| ~ spl176_27
| ~ spl176_34 ),
inference(forward_demodulation,[],[f16336,f15684]) ).
fof(f16339,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_22
| ~ spl176_27
| ~ spl176_34 ),
inference(duplicate_literal_removal,[],[f16338]) ).
fof(f16342,definition,
( spl176_90
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,sF168)
| k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| ~ m1_subset_1(X1,sF168) ) ),
introduced(definition,[new_symbols(definition,[spl176_90])],[avatar_definition]) ).
fof(f16343,plain,
( ! [X0,X1] :
( k4_lattices(sK12,X0,X1) = k3_lattices(k1_lattice2(sK11),X0,X1)
| ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168) )
| ~ spl176_90 ),
inference(avatar_component_clause,[],[f16342]) ).
fof(f16344,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| spl176_90
| ~ spl176_22
| ~ spl176_27
| ~ spl176_34 ),
inference(avatar_split_clause,[],[f16339,f15682,f15630,f15589,f16342,f15367,f15363,f15326]) ).
fof(f16349,plain,
( ! [X0,X1] :
( k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK11)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK11)))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| ~ spl176_90 ),
inference(superposition,[],[f16343,f16316]) ).
fof(f16352,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF172)
| k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK11)))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| ~ spl176_27
| ~ spl176_90 ),
inference(forward_demodulation,[],[f16349,f15632]) ).
fof(f16355,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK11)))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| ~ spl176_27
| ~ spl176_34
| ~ spl176_90 ),
inference(forward_demodulation,[],[f16352,f15684]) ).
fof(f16356,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK11)))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| ~ spl176_27
| ~ spl176_34
| ~ spl176_90 ),
inference(duplicate_literal_removal,[],[f16355]) ).
fof(f16358,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF172)
| ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| ~ spl176_27
| ~ spl176_34
| ~ spl176_90 ),
inference(forward_demodulation,[],[f16356,f15632]) ).
fof(f16361,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| ~ spl176_27
| ~ spl176_34
| ~ spl176_90 ),
inference(forward_demodulation,[],[f16358,f15684]) ).
fof(f16362,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| ~ spl176_27
| ~ spl176_34
| ~ spl176_90 ),
inference(duplicate_literal_removal,[],[f16361]) ).
fof(f16365,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| ~ spl176_27
| ~ spl176_34
| ~ spl176_90 ),
inference(forward_demodulation,[],[f16362,f15276]) ).
fof(f16366,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,sF168)
| k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| ~ spl176_27
| ~ spl176_34
| ~ spl176_90 ),
inference(duplicate_literal_removal,[],[f16365]) ).
fof(f16369,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,sF168)
| k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| ~ spl176_27
| ~ spl176_34
| ~ spl176_90 ),
inference(forward_demodulation,[],[f16366,f15276]) ).
fof(f16370,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168)
| k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| ~ spl176_27
| ~ spl176_34
| ~ spl176_90 ),
inference(duplicate_literal_removal,[],[f16369]) ).
fof(f16372,definition,
( spl176_91
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,sF168)
| k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| ~ m1_subset_1(X1,sF168) ) ),
introduced(definition,[new_symbols(definition,[spl176_91])],[avatar_definition]) ).
fof(f16373,plain,
( ! [X0,X1] :
( k4_lattices(sK12,X0,X1) = k4_lattices(sK11,X0,X1)
| ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168) )
| ~ spl176_91 ),
inference(avatar_component_clause,[],[f16372]) ).
fof(f16375,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| spl176_91
| ~ spl176_27
| ~ spl176_34
| ~ spl176_90 ),
inference(avatar_split_clause,[],[f16370,f16342,f15682,f15630,f16372,f15458,f15454,f15301]) ).
fof(f16919,plain,
! [X0] :
( m1_subset_1(sK23(sK12,X0),sF172)
| m1_filter_0(X0,sK12)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF172))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) ),
inference(superposition,[],[f14494,f15284]) ).
fof(f16921,plain,
( ! [X0] :
( m1_subset_1(sK23(sK12,X0),sF168)
| m1_filter_0(X0,sK12)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF172))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_34 ),
inference(forward_demodulation,[],[f16919,f15684]) ).
fof(f16927,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF168))
| m1_subset_1(sK23(sK12,X0),sF168)
| m1_filter_0(X0,sK12)
| v1_xboole_0(X0)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_34 ),
inference(forward_demodulation,[],[f16921,f15684]) ).
fof(f16930,definition,
( spl176_129
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF168))
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12)
| m1_subset_1(sK23(sK12,X0),sF168) ) ),
introduced(definition,[new_symbols(definition,[spl176_129])],[avatar_definition]) ).
fof(f16931,plain,
( ! [X0] :
( m1_subset_1(sK23(sK12,X0),sF168)
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF168)) )
| ~ spl176_129 ),
inference(avatar_component_clause,[],[f16930]) ).
fof(f16932,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| spl176_129
| ~ spl176_34 ),
inference(avatar_split_clause,[],[f16927,f15682,f16930,f15367,f15363,f15326]) ).
fof(f16940,plain,
! [X0] :
( m1_subset_1(sK24(sK12,X0),sF172)
| m1_filter_0(X0,sK12)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF172))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) ),
inference(superposition,[],[f14495,f15284]) ).
fof(f16942,plain,
( ! [X0] :
( m1_subset_1(sK24(sK12,X0),sF168)
| m1_filter_0(X0,sK12)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF172))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_34 ),
inference(forward_demodulation,[],[f16940,f15684]) ).
fof(f16948,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF168))
| m1_subset_1(sK24(sK12,X0),sF168)
| m1_filter_0(X0,sK12)
| v1_xboole_0(X0)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12) )
| ~ spl176_34 ),
inference(forward_demodulation,[],[f16942,f15684]) ).
fof(f16951,definition,
( spl176_132
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF168))
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12)
| m1_subset_1(sK24(sK12,X0),sF168) ) ),
introduced(definition,[new_symbols(definition,[spl176_132])],[avatar_definition]) ).
fof(f16952,plain,
( ! [X0] :
( m1_subset_1(sK24(sK12,X0),sF168)
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF168)) )
| ~ spl176_132 ),
inference(avatar_component_clause,[],[f16951]) ).
fof(f16953,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| spl176_132
| ~ spl176_34 ),
inference(avatar_split_clause,[],[f16948,f15682,f16951,f15367,f15363,f15326]) ).
fof(f17234,plain,
! [X0,X1] :
( ~ r2_hidden(k4_lattices(X0,sK23(X0,X1),sK24(X0,X1)),X1)
| ~ r2_hidden(sK23(X0,X1),X1)
| m1_filter_0(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK24(X0,X1),X1) ),
inference(resolution,[],[f14498,f14509]) ).
fof(f17235,plain,
! [X0,X1] :
( ~ r2_hidden(sK23(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK23(X0,X1),sK24(X0,X1)),X1)
| m1_filter_0(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(sK24(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f17234]) ).
fof(f17418,plain,
( ! [X2,X0,X1] :
( ~ m1_filter_0(sK13,X2)
| ~ r2_hidden(X1,sK13)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ r2_hidden(X0,sK13)
| r2_hidden(k4_lattices(X2,X0,X1),sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
| spl176_23 ),
inference(resolution,[],[f14485,f15602]) ).
fof(f17421,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK13)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,sK13)
| r2_hidden(k4_lattices(X1,X2,X0),sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(sK13,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| spl176_23 ),
inference(resolution,[],[f17418,f14448]) ).
fof(f17422,plain,
( ! [X2,X0,X1] :
( ~ m1_filter_2(sK13,X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,sK13)
| r2_hidden(k4_lattices(X1,X2,X0),sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X0,sK13) )
| spl176_23 ),
inference(duplicate_literal_removal,[],[f17421]) ).
fof(f17423,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ r2_hidden(X1,sK13)
| r2_hidden(k4_lattices(sK11,X1,X0),sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK11)))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11)
| ~ r2_hidden(X0,sK13) )
| spl176_23 ),
inference(resolution,[],[f17422,f14445]) ).
fof(f17426,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ r2_hidden(X1,sK13)
| r2_hidden(k4_lattices(sK11,X1,X0),sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK11)))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11)
| ~ r2_hidden(X0,sK13) )
| spl176_23 ),
inference(forward_demodulation,[],[f17423,f15276]) ).
fof(f17427,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,sF168)
| ~ r2_hidden(X1,sK13)
| r2_hidden(k4_lattices(sK11,X1,X0),sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK11)))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11)
| ~ r2_hidden(X0,sK13) )
| spl176_23 ),
inference(forward_demodulation,[],[f17426,f15276]) ).
fof(f17428,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK13,k1_zfmisc_1(sF168))
| ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,sF168)
| ~ r2_hidden(X1,sK13)
| r2_hidden(k4_lattices(sK11,X1,X0),sK13)
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11)
| ~ r2_hidden(X0,sK13) )
| spl176_23 ),
inference(forward_demodulation,[],[f17427,f15276]) ).
fof(f17430,definition,
( spl176_151
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| ~ r2_hidden(X0,sK13)
| r2_hidden(k4_lattices(sK11,X1,X0),sK13)
| ~ r2_hidden(X1,sK13)
| ~ m1_subset_1(X0,sF168) ) ),
introduced(definition,[new_symbols(definition,[spl176_151])],[avatar_definition]) ).
fof(f17431,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK11,X1,X0),sK13)
| ~ r2_hidden(X0,sK13)
| ~ m1_subset_1(X1,sF168)
| ~ r2_hidden(X1,sK13)
| ~ m1_subset_1(X0,sF168) )
| ~ spl176_151 ),
inference(avatar_component_clause,[],[f17430]) ).
fof(f17433,definition,
( spl176_152
<=> m1_subset_1(sK13,k1_zfmisc_1(sF168)) ),
introduced(definition,[new_symbols(definition,[spl176_152])],[avatar_definition]) ).
fof(f17435,plain,
( ~ m1_subset_1(sK13,k1_zfmisc_1(sF168))
| spl176_152 ),
inference(avatar_component_clause,[],[f17433]) ).
fof(f17436,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| spl176_151
| ~ spl176_152
| spl176_23 ),
inference(avatar_split_clause,[],[f17428,f15600,f17433,f17430,f15458,f15454,f15301]) ).
fof(f17492,plain,
( ! [X2,X0,X1] :
( ~ m1_filter_0(sK13,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k4_lattices(X0,X1,X2),sK13)
| r2_hidden(X1,sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| spl176_23 ),
inference(resolution,[],[f14493,f15602]) ).
fof(f17504,definition,
( spl176_159
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| r2_hidden(X0,sK13)
| ~ m1_subset_1(X0,sF168)
| ~ r2_hidden(k4_lattices(sK11,X0,X1),sK13) ) ),
introduced(definition,[new_symbols(definition,[spl176_159])],[avatar_definition]) ).
fof(f17505,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_lattices(sK11,X0,X1),sK13)
| r2_hidden(X0,sK13)
| ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,sF168) )
| ~ spl176_159 ),
inference(avatar_component_clause,[],[f17504]) ).
fof(f17512,definition,
( spl176_160
<=> m1_filter_2(sK13,sK11) ),
introduced(definition,[new_symbols(definition,[spl176_160])],[avatar_definition]) ).
fof(f17513,plain,
( m1_filter_2(sK13,sK11)
| ~ spl176_160 ),
inference(avatar_component_clause,[],[f17512]) ).
fof(f17517,definition,
( spl176_161
<=> m1_filter_0(sK13,sK11) ),
introduced(definition,[new_symbols(definition,[spl176_161])],[avatar_definition]) ).
fof(f17518,plain,
( m1_filter_0(sK13,sK11)
| ~ spl176_161 ),
inference(avatar_component_clause,[],[f17517]) ).
fof(f17519,plain,
( ~ m1_filter_0(sK13,sK11)
| spl176_161 ),
inference(avatar_component_clause,[],[f17517]) ).
fof(f17524,plain,
( ~ m1_filter_0(sK13,sK11)
| ~ spl176_88
| spl176_152 ),
inference(resolution,[],[f17435,f16308]) ).
fof(f17532,plain,
( ~ spl176_161
| ~ spl176_88
| spl176_152 ),
inference(avatar_split_clause,[],[f17524,f17433,f16307,f17517]) ).
fof(f17542,plain,
( ~ m1_filter_2(sK13,sK11)
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11)
| spl176_161 ),
inference(resolution,[],[f17519,f14448]) ).
fof(f17543,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| ~ spl176_160
| spl176_161 ),
inference(avatar_split_clause,[],[f17542,f17517,f17512,f15458,f15454,f15301]) ).
fof(f17547,plain,
spl176_160,
inference(avatar_split_clause,[],[f14445,f17512]) ).
fof(f17548,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ r2_hidden(k4_lattices(sK11,X1,X0),sK13)
| r2_hidden(X1,sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK11)))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| spl176_23
| ~ spl176_161 ),
inference(resolution,[],[f17518,f17492]) ).
fof(f17552,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF168)
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ r2_hidden(k4_lattices(sK11,X1,X0),sK13)
| r2_hidden(X1,sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK11)))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| spl176_23
| ~ spl176_161 ),
inference(forward_demodulation,[],[f17548,f15276]) ).
fof(f17554,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,sF168)
| ~ r2_hidden(k4_lattices(sK11,X1,X0),sK13)
| r2_hidden(X1,sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK11)))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| spl176_23
| ~ spl176_161 ),
inference(forward_demodulation,[],[f17552,f15276]) ).
fof(f17555,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK13,k1_zfmisc_1(sF168))
| ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,sF168)
| ~ r2_hidden(k4_lattices(sK11,X1,X0),sK13)
| r2_hidden(X1,sK13)
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| spl176_23
| ~ spl176_161 ),
inference(forward_demodulation,[],[f17554,f15276]) ).
fof(f17556,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| spl176_159
| ~ spl176_152
| spl176_23
| ~ spl176_161 ),
inference(avatar_split_clause,[],[f17555,f17517,f15600,f17433,f17504,f15458,f15454,f15301]) ).
fof(f17635,plain,
( ! [X2,X0,X1] :
( ~ m1_filter_0(sK13,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k4_lattices(X0,X1,X2),sK13)
| r2_hidden(X2,sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| spl176_23 ),
inference(resolution,[],[f14492,f15602]) ).
fof(f17639,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(k4_lattices(X1,X2,X0),sK13)
| r2_hidden(X0,sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(sK13,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| spl176_23 ),
inference(resolution,[],[f17635,f14448]) ).
fof(f17640,plain,
( ! [X2,X0,X1] :
( ~ m1_filter_2(sK13,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(k4_lattices(X1,X2,X0),sK13)
| r2_hidden(X0,sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) )
| spl176_23 ),
inference(duplicate_literal_removal,[],[f17639]) ).
fof(f17645,definition,
( spl176_170
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| r2_hidden(X0,sK13)
| ~ r2_hidden(k4_lattices(sK11,X1,X0),sK13)
| ~ m1_subset_1(X0,sF168) ) ),
introduced(definition,[new_symbols(definition,[spl176_170])],[avatar_definition]) ).
fof(f17646,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_lattices(sK11,X1,X0),sK13)
| r2_hidden(X0,sK13)
| ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(X0,sF168) )
| ~ spl176_170 ),
inference(avatar_component_clause,[],[f17645]) ).
fof(f17648,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ r2_hidden(k4_lattices(sK11,X0,X1),sK13)
| r2_hidden(X1,sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK11)))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11)
| ~ m1_subset_1(X1,u1_struct_0(sK11)) )
| spl176_23
| ~ spl176_160 ),
inference(resolution,[],[f17640,f17513]) ).
fof(f17651,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF168)
| ~ r2_hidden(k4_lattices(sK11,X0,X1),sK13)
| r2_hidden(X1,sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK11)))
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11)
| ~ m1_subset_1(X1,u1_struct_0(sK11)) )
| spl176_23
| ~ spl176_160 ),
inference(forward_demodulation,[],[f17648,f15276]) ).
fof(f17652,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK13,k1_zfmisc_1(sF168))
| ~ m1_subset_1(X0,sF168)
| ~ r2_hidden(k4_lattices(sK11,X0,X1),sK13)
| r2_hidden(X1,sK13)
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11)
| ~ m1_subset_1(X1,u1_struct_0(sK11)) )
| spl176_23
| ~ spl176_160 ),
inference(forward_demodulation,[],[f17651,f15276]) ).
fof(f17653,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF168)
| ~ m1_subset_1(sK13,k1_zfmisc_1(sF168))
| ~ m1_subset_1(X0,sF168)
| ~ r2_hidden(k4_lattices(sK11,X0,X1),sK13)
| r2_hidden(X1,sK13)
| v3_struct_0(sK11)
| ~ v10_lattices(sK11)
| ~ l3_lattices(sK11) )
| spl176_23
| ~ spl176_160 ),
inference(forward_demodulation,[],[f17652,f15276]) ).
fof(f17654,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| ~ spl176_152
| spl176_170
| spl176_23
| ~ spl176_160 ),
inference(avatar_split_clause,[],[f17653,f17512,f15600,f17645,f17433,f15458,f15454,f15301]) ).
fof(f23548,plain,
! [X0,X1] :
( ~ r2_hidden(k4_lattices(X0,sK23(X0,X1),sK24(X0,X1)),X1)
| m1_filter_0(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(sK24(X0,X1),X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK23(X0,X1),X1) ),
inference(resolution,[],[f17235,f14509]) ).
fof(f23551,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| m1_filter_0(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ r2_hidden(k4_lattices(X0,sK23(X0,X1),sK24(X0,X1)),X1)
| ~ l3_lattices(X0)
| ~ m1_subset_1(sK24(X0,X1),X1)
| ~ m1_subset_1(sK23(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f23548]) ).
fof(f48990,plain,
( ! [X0] :
( m1_filter_0(X0,sK12)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK12)))
| v3_struct_0(sK12)
| ~ r2_hidden(k4_lattices(sK12,sK23(sK12,X0),sK24(sK12,X0)),X0)
| ~ l3_lattices(sK12)
| ~ m1_subset_1(sK24(sK12,X0),X0)
| ~ m1_subset_1(sK23(sK12,X0),X0) )
| ~ spl176_9 ),
inference(resolution,[],[f23551,f15364]) ).
fof(f48993,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF172))
| m1_filter_0(X0,sK12)
| v1_xboole_0(X0)
| v3_struct_0(sK12)
| ~ r2_hidden(k4_lattices(sK12,sK23(sK12,X0),sK24(sK12,X0)),X0)
| ~ l3_lattices(sK12)
| ~ m1_subset_1(sK24(sK12,X0),X0)
| ~ m1_subset_1(sK23(sK12,X0),X0) )
| ~ spl176_9 ),
inference(forward_demodulation,[],[f48990,f15284]) ).
fof(f49000,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF168))
| m1_filter_0(X0,sK12)
| v1_xboole_0(X0)
| v3_struct_0(sK12)
| ~ r2_hidden(k4_lattices(sK12,sK23(sK12,X0),sK24(sK12,X0)),X0)
| ~ l3_lattices(sK12)
| ~ m1_subset_1(sK24(sK12,X0),X0)
| ~ m1_subset_1(sK23(sK12,X0),X0) )
| ~ spl176_9
| ~ spl176_34 ),
inference(forward_demodulation,[],[f48993,f15684]) ).
fof(f49007,definition,
( spl176_3432
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF168))
| ~ m1_subset_1(sK23(sK12,X0),X0)
| ~ m1_subset_1(sK24(sK12,X0),X0)
| ~ r2_hidden(k4_lattices(sK12,sK23(sK12,X0),sK24(sK12,X0)),X0)
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12) ) ),
introduced(definition,[new_symbols(definition,[spl176_3432])],[avatar_definition]) ).
fof(f49008,plain,
( ! [X0] :
( ~ r2_hidden(k4_lattices(sK12,sK23(sK12,X0),sK24(sK12,X0)),X0)
| ~ m1_subset_1(sK23(sK12,X0),X0)
| ~ m1_subset_1(sK24(sK12,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF168))
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12) )
| ~ spl176_3432 ),
inference(avatar_component_clause,[],[f49007]) ).
fof(f49009,plain,
( ~ spl176_5
| spl176_10
| spl176_3432
| ~ spl176_9
| ~ spl176_34 ),
inference(avatar_split_clause,[],[f49000,f15682,f15363,f49007,f15367,f15326]) ).
fof(f49022,plain,
( ! [X0] :
( ~ m1_subset_1(sK24(sK12,X0),sF168)
| ~ m1_subset_1(sK23(sK12,X0),X0)
| ~ m1_subset_1(sK24(sK12,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF168))
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12)
| ~ m1_subset_1(sK23(sK12,X0),sF168)
| ~ r2_hidden(k4_lattices(sK11,sK23(sK12,X0),sK24(sK12,X0)),X0) )
| ~ spl176_91
| ~ spl176_3432 ),
inference(superposition,[],[f49008,f16373]) ).
fof(f49057,plain,
( ! [X0] :
( ~ m1_subset_1(sK23(sK12,X0),X0)
| ~ m1_subset_1(sK24(sK12,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF168))
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12)
| ~ m1_subset_1(sK23(sK12,X0),sF168)
| ~ r2_hidden(k4_lattices(sK11,sK23(sK12,X0),sK24(sK12,X0)),X0)
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF168)) )
| ~ spl176_91
| ~ spl176_132
| ~ spl176_3432 ),
inference(resolution,[],[f49022,f16952]) ).
fof(f49063,plain,
( ! [X0] :
( ~ m1_subset_1(sK23(sK12,X0),sF168)
| ~ m1_subset_1(sK24(sK12,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF168))
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12)
| ~ m1_subset_1(sK23(sK12,X0),X0)
| ~ r2_hidden(k4_lattices(sK11,sK23(sK12,X0),sK24(sK12,X0)),X0) )
| ~ spl176_91
| ~ spl176_132
| ~ spl176_3432 ),
inference(duplicate_literal_removal,[],[f49057]) ).
fof(f49068,plain,
( ! [X0] :
( ~ m1_subset_1(sK24(sK12,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF168))
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12)
| ~ m1_subset_1(sK23(sK12,X0),X0)
| ~ r2_hidden(k4_lattices(sK11,sK23(sK12,X0),sK24(sK12,X0)),X0)
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF168)) )
| ~ spl176_91
| ~ spl176_129
| ~ spl176_132
| ~ spl176_3432 ),
inference(resolution,[],[f49063,f16931]) ).
fof(f49073,plain,
( ! [X0] :
( ~ r2_hidden(k4_lattices(sK11,sK23(sK12,X0),sK24(sK12,X0)),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF168))
| v1_xboole_0(X0)
| m1_filter_0(X0,sK12)
| ~ m1_subset_1(sK23(sK12,X0),X0)
| ~ m1_subset_1(sK24(sK12,X0),X0) )
| ~ spl176_91
| ~ spl176_129
| ~ spl176_132
| ~ spl176_3432 ),
inference(duplicate_literal_removal,[],[f49068]) ).
fof(f49081,plain,
( ~ m1_subset_1(sK13,k1_zfmisc_1(sF168))
| v1_xboole_0(sK13)
| m1_filter_0(sK13,sK12)
| ~ m1_subset_1(sK23(sK12,sK13),sK13)
| ~ m1_subset_1(sK24(sK12,sK13),sK13)
| ~ r2_hidden(sK24(sK12,sK13),sK13)
| ~ m1_subset_1(sK23(sK12,sK13),sF168)
| ~ r2_hidden(sK23(sK12,sK13),sK13)
| ~ m1_subset_1(sK24(sK12,sK13),sF168)
| ~ spl176_91
| ~ spl176_129
| ~ spl176_132
| ~ spl176_151
| ~ spl176_3432 ),
inference(resolution,[],[f49073,f17431]) ).
fof(f49091,definition,
( spl176_3437
<=> m1_subset_1(sK24(sK12,sK13),sF168) ),
introduced(definition,[new_symbols(definition,[spl176_3437])],[avatar_definition]) ).
fof(f49093,plain,
( ~ m1_subset_1(sK24(sK12,sK13),sF168)
| spl176_3437 ),
inference(avatar_component_clause,[],[f49091]) ).
fof(f49095,definition,
( spl176_3438
<=> r2_hidden(sK23(sK12,sK13),sK13) ),
introduced(definition,[new_symbols(definition,[spl176_3438])],[avatar_definition]) ).
fof(f49097,plain,
( ~ r2_hidden(sK23(sK12,sK13),sK13)
| spl176_3438 ),
inference(avatar_component_clause,[],[f49095]) ).
fof(f49099,definition,
( spl176_3439
<=> m1_subset_1(sK23(sK12,sK13),sF168) ),
introduced(definition,[new_symbols(definition,[spl176_3439])],[avatar_definition]) ).
fof(f49101,plain,
( ~ m1_subset_1(sK23(sK12,sK13),sF168)
| spl176_3439 ),
inference(avatar_component_clause,[],[f49099]) ).
fof(f49103,definition,
( spl176_3440
<=> r2_hidden(sK24(sK12,sK13),sK13) ),
introduced(definition,[new_symbols(definition,[spl176_3440])],[avatar_definition]) ).
fof(f49105,plain,
( ~ r2_hidden(sK24(sK12,sK13),sK13)
| spl176_3440 ),
inference(avatar_component_clause,[],[f49103]) ).
fof(f49107,definition,
( spl176_3441
<=> m1_subset_1(sK24(sK12,sK13),sK13) ),
introduced(definition,[new_symbols(definition,[spl176_3441])],[avatar_definition]) ).
fof(f49109,plain,
( ~ m1_subset_1(sK24(sK12,sK13),sK13)
| spl176_3441 ),
inference(avatar_component_clause,[],[f49107]) ).
fof(f49111,definition,
( spl176_3442
<=> m1_subset_1(sK23(sK12,sK13),sK13) ),
introduced(definition,[new_symbols(definition,[spl176_3442])],[avatar_definition]) ).
fof(f49113,plain,
( ~ m1_subset_1(sK23(sK12,sK13),sK13)
| spl176_3442 ),
inference(avatar_component_clause,[],[f49111]) ).
fof(f49114,plain,
( ~ spl176_3437
| ~ spl176_3438
| ~ spl176_3439
| ~ spl176_3440
| ~ spl176_3441
| ~ spl176_3442
| spl176_11
| spl176_23
| ~ spl176_152
| ~ spl176_91
| ~ spl176_129
| ~ spl176_132
| ~ spl176_151
| ~ spl176_3432 ),
inference(avatar_split_clause,[],[f49081,f49007,f17430,f16951,f16930,f16372,f17433,f15600,f15371,f49111,f49107,f49103,f49099,f49095,f49091]) ).
fof(f49123,plain,
( v1_xboole_0(sK13)
| m1_filter_0(sK13,sK12)
| ~ m1_subset_1(sK13,k1_zfmisc_1(sF168))
| ~ spl176_132
| spl176_3437 ),
inference(resolution,[],[f49093,f16952]) ).
fof(f49131,plain,
( ~ spl176_152
| spl176_11
| spl176_23
| ~ spl176_132
| spl176_3437 ),
inference(avatar_split_clause,[],[f49123,f49091,f16951,f15600,f15371,f17433]) ).
fof(f49138,definition,
( spl176_3445
<=> r2_hidden(k4_lattices(sK12,sK23(sK12,sK13),sK24(sK12,sK13)),sK13) ),
introduced(definition,[new_symbols(definition,[spl176_3445])],[avatar_definition]) ).
fof(f49140,plain,
( r2_hidden(k4_lattices(sK12,sK23(sK12,sK13),sK24(sK12,sK13)),sK13)
| ~ spl176_3445 ),
inference(avatar_component_clause,[],[f49138]) ).
fof(f49153,plain,
( ~ r2_hidden(sK23(sK12,sK13),sK13)
| spl176_3442 ),
inference(resolution,[],[f49113,f14751]) ).
fof(f49154,plain,
( ~ spl176_3438
| spl176_3442 ),
inference(avatar_split_clause,[],[f49153,f49111,f49095]) ).
fof(f49160,plain,
( r2_hidden(k4_lattices(sK12,sK23(sK12,sK13),sK24(sK12,sK13)),sK13)
| m1_filter_0(sK13,sK12)
| v1_xboole_0(sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK12)))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl176_3438 ),
inference(resolution,[],[f49097,f14497]) ).
fof(f49162,plain,
( ~ m1_subset_1(sK13,k1_zfmisc_1(sF172))
| r2_hidden(k4_lattices(sK12,sK23(sK12,sK13),sK24(sK12,sK13)),sK13)
| m1_filter_0(sK13,sK12)
| v1_xboole_0(sK13)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl176_3438 ),
inference(forward_demodulation,[],[f49160,f15284]) ).
fof(f49163,plain,
( ~ m1_subset_1(sK13,k1_zfmisc_1(sF168))
| r2_hidden(k4_lattices(sK12,sK23(sK12,sK13),sK24(sK12,sK13)),sK13)
| m1_filter_0(sK13,sK12)
| v1_xboole_0(sK13)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| ~ spl176_34
| spl176_3438 ),
inference(forward_demodulation,[],[f49162,f15684]) ).
fof(f49164,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| spl176_23
| spl176_11
| spl176_3445
| ~ spl176_152
| ~ spl176_34
| spl176_3438 ),
inference(avatar_split_clause,[],[f49163,f49095,f15682,f17433,f49138,f15371,f15600,f15367,f15363,f15326]) ).
fof(f49167,plain,
( ~ r2_hidden(sK24(sK12,sK13),sK13)
| spl176_3441 ),
inference(resolution,[],[f49109,f14751]) ).
fof(f49168,plain,
( ~ spl176_3440
| spl176_3441 ),
inference(avatar_split_clause,[],[f49167,f49107,f49103]) ).
fof(f49174,plain,
( r2_hidden(k4_lattices(sK12,sK23(sK12,sK13),sK24(sK12,sK13)),sK13)
| m1_filter_0(sK13,sK12)
| v1_xboole_0(sK13)
| ~ m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK12)))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl176_3440 ),
inference(resolution,[],[f49105,f14496]) ).
fof(f49176,plain,
( ~ m1_subset_1(sK13,k1_zfmisc_1(sF172))
| r2_hidden(k4_lattices(sK12,sK23(sK12,sK13),sK24(sK12,sK13)),sK13)
| m1_filter_0(sK13,sK12)
| v1_xboole_0(sK13)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl176_3440 ),
inference(forward_demodulation,[],[f49174,f15284]) ).
fof(f49177,plain,
( ~ m1_subset_1(sK13,k1_zfmisc_1(sF168))
| r2_hidden(k4_lattices(sK12,sK23(sK12,sK13),sK24(sK12,sK13)),sK13)
| m1_filter_0(sK13,sK12)
| v1_xboole_0(sK13)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| ~ spl176_34
| spl176_3440 ),
inference(forward_demodulation,[],[f49176,f15684]) ).
fof(f49178,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| spl176_23
| spl176_11
| spl176_3445
| ~ spl176_152
| ~ spl176_34
| spl176_3440 ),
inference(avatar_split_clause,[],[f49177,f49103,f15682,f17433,f49138,f15371,f15600,f15367,f15363,f15326]) ).
fof(f49203,plain,
( r2_hidden(k4_lattices(sK11,sK23(sK12,sK13),sK24(sK12,sK13)),sK13)
| ~ m1_subset_1(sK23(sK12,sK13),sF168)
| ~ m1_subset_1(sK24(sK12,sK13),sF168)
| ~ spl176_91
| ~ spl176_3445 ),
inference(superposition,[],[f49140,f16373]) ).
fof(f49205,definition,
( spl176_3448
<=> r2_hidden(k4_lattices(sK11,sK23(sK12,sK13),sK24(sK12,sK13)),sK13) ),
introduced(definition,[new_symbols(definition,[spl176_3448])],[avatar_definition]) ).
fof(f49207,plain,
( r2_hidden(k4_lattices(sK11,sK23(sK12,sK13),sK24(sK12,sK13)),sK13)
| ~ spl176_3448 ),
inference(avatar_component_clause,[],[f49205]) ).
fof(f49208,plain,
( ~ spl176_3437
| ~ spl176_3439
| spl176_3448
| ~ spl176_91
| ~ spl176_3445 ),
inference(avatar_split_clause,[],[f49203,f49138,f16372,f49205,f49099,f49091]) ).
fof(f49209,plain,
( v1_xboole_0(sK13)
| m1_filter_0(sK13,sK12)
| ~ m1_subset_1(sK13,k1_zfmisc_1(sF168))
| ~ spl176_129
| spl176_3439 ),
inference(resolution,[],[f49101,f16931]) ).
fof(f49217,plain,
( ~ spl176_152
| spl176_11
| spl176_23
| ~ spl176_129
| spl176_3439 ),
inference(avatar_split_clause,[],[f49209,f49099,f16930,f15600,f15371,f17433]) ).
fof(f49219,plain,
( r2_hidden(sK24(sK12,sK13),sK13)
| ~ m1_subset_1(sK23(sK12,sK13),sF168)
| ~ m1_subset_1(sK24(sK12,sK13),sF168)
| ~ spl176_170
| ~ spl176_3448 ),
inference(resolution,[],[f49207,f17646]) ).
fof(f49220,plain,
( r2_hidden(sK23(sK12,sK13),sK13)
| ~ m1_subset_1(sK23(sK12,sK13),sF168)
| ~ m1_subset_1(sK24(sK12,sK13),sF168)
| ~ spl176_159
| ~ spl176_3448 ),
inference(resolution,[],[f49207,f17505]) ).
fof(f49293,plain,
( ~ spl176_3437
| ~ spl176_3439
| spl176_3438
| ~ spl176_159
| ~ spl176_3448 ),
inference(avatar_split_clause,[],[f49220,f49205,f17504,f49095,f49099,f49091]) ).
fof(f49294,plain,
( ~ spl176_3437
| ~ spl176_3439
| spl176_3440
| ~ spl176_170
| ~ spl176_3448 ),
inference(avatar_split_clause,[],[f49219,f49205,f17645,f49103,f49099,f49091]) ).
cnf(s7,plain,
spl176_1,
inference(sat_conversion,[],[f15349]) ).
cnf(s10,plain,
spl176_5,
inference(sat_conversion,[],[f15355]) ).
cnf(s13,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| ~ spl176_11 ),
inference(sat_conversion,[],[f15374]) ).
cnf(s21,plain,
spl176_9,
inference(sat_conversion,[],[f15423]) ).
cnf(s29,plain,
~ spl176_10,
inference(sat_conversion,[],[f15479]) ).
cnf(s31,plain,
spl176_16,
inference(sat_conversion,[],[f15482]) ).
cnf(s33,plain,
~ spl176_17,
inference(sat_conversion,[],[f15485]) ).
cnf(s45,plain,
( ~ spl176_5
| spl176_21 ),
inference(sat_conversion,[],[f15568]) ).
cnf(s48,plain,
( ~ spl176_1
| ~ spl176_21
| spl176_22 ),
inference(sat_conversion,[],[f15594]) ).
cnf(s49,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| ~ spl176_23 ),
inference(sat_conversion,[],[f15603]) ).
cnf(s51,plain,
( ~ spl176_5
| spl176_10
| ~ spl176_22
| spl176_27 ),
inference(sat_conversion,[],[f15633]) ).
cnf(s59,plain,
( ~ spl176_1
| spl176_17
| ~ spl176_27
| spl176_34 ),
inference(sat_conversion,[],[f15686]) ).
cnf(s144,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| spl176_88 ),
inference(sat_conversion,[],[f16309]) ).
cnf(s146,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| ~ spl176_22
| ~ spl176_27
| ~ spl176_34
| spl176_90 ),
inference(sat_conversion,[],[f16344]) ).
cnf(s148,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| ~ spl176_27
| ~ spl176_34
| ~ spl176_90
| spl176_91 ),
inference(sat_conversion,[],[f16375]) ).
cnf(s204,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| ~ spl176_34
| spl176_129 ),
inference(sat_conversion,[],[f16932]) ).
cnf(s207,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| ~ spl176_34
| spl176_132 ),
inference(sat_conversion,[],[f16953]) ).
cnf(s243,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| spl176_23
| spl176_151
| ~ spl176_152 ),
inference(sat_conversion,[],[f17436]) ).
cnf(s253,plain,
( ~ spl176_88
| spl176_152
| ~ spl176_161 ),
inference(sat_conversion,[],[f17532]) ).
cnf(s257,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| ~ spl176_160
| spl176_161 ),
inference(sat_conversion,[],[f17543]) ).
cnf(s259,plain,
spl176_160,
inference(sat_conversion,[],[f17547]) ).
cnf(s260,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| spl176_23
| ~ spl176_152
| spl176_159
| ~ spl176_161 ),
inference(sat_conversion,[],[f17556]) ).
cnf(s269,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| spl176_23
| ~ spl176_152
| ~ spl176_160
| spl176_170 ),
inference(sat_conversion,[],[f17654]) ).
cnf(s4068,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| ~ spl176_34
| spl176_3432 ),
inference(sat_conversion,[],[f49009]) ).
cnf(s4073,plain,
( spl176_11
| spl176_23
| ~ spl176_91
| ~ spl176_129
| ~ spl176_132
| ~ spl176_151
| ~ spl176_152
| ~ spl176_3432
| ~ spl176_3437
| ~ spl176_3438
| ~ spl176_3439
| ~ spl176_3440
| ~ spl176_3441
| ~ spl176_3442 ),
inference(sat_conversion,[],[f49114]) ).
cnf(s4076,plain,
( spl176_11
| spl176_23
| ~ spl176_132
| ~ spl176_152
| spl176_3437 ),
inference(sat_conversion,[],[f49131]) ).
cnf(s4080,plain,
( ~ spl176_3438
| spl176_3442 ),
inference(sat_conversion,[],[f49154]) ).
cnf(s4082,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| spl176_11
| spl176_23
| ~ spl176_34
| ~ spl176_152
| spl176_3438
| spl176_3445 ),
inference(sat_conversion,[],[f49164]) ).
cnf(s4083,plain,
( ~ spl176_3440
| spl176_3441 ),
inference(sat_conversion,[],[f49168]) ).
cnf(s4085,plain,
( ~ spl176_5
| ~ spl176_9
| spl176_10
| spl176_11
| spl176_23
| ~ spl176_34
| ~ spl176_152
| spl176_3440
| spl176_3445 ),
inference(sat_conversion,[],[f49178]) ).
cnf(s4086,plain,
( ~ spl176_91
| ~ spl176_3437
| ~ spl176_3439
| ~ spl176_3445
| spl176_3448 ),
inference(sat_conversion,[],[f49208]) ).
cnf(s4088,plain,
( spl176_11
| spl176_23
| ~ spl176_129
| ~ spl176_152
| spl176_3439 ),
inference(sat_conversion,[],[f49217]) ).
cnf(s4101,plain,
( ~ spl176_159
| ~ spl176_3437
| spl176_3438
| ~ spl176_3439
| ~ spl176_3448 ),
inference(sat_conversion,[],[f49293]) ).
cnf(s4102,plain,
( ~ spl176_170
| ~ spl176_3437
| ~ spl176_3439
| spl176_3440
| ~ spl176_3448 ),
inference(sat_conversion,[],[f49294]) ).
cnf(s4166,plain,
( ~ spl176_1
| ~ spl176_16
| spl176_17
| spl176_161 ),
inference(rat,[],[s257,s259]) ).
cnf(s4174,plain,
( ~ spl176_5
| ~ spl176_11 ),
inference(rat,[],[s13,s29,s21]) ).
cnf(s4186,plain,
spl176_21,
inference(rat,[],[s45,s10]) ).
cnf(s4188,plain,
~ spl176_11,
inference(rat,[],[s4174,s10]) ).
cnf(s4259,plain,
spl176_161,
inference(rat,[],[s4166,s31,s33,s7]) ).
cnf(s4266,plain,
spl176_88,
inference(rat,[],[s144,s31,s33,s7]) ).
cnf(s4276,plain,
~ spl176_23,
inference(rat,[],[s49,s31,s33,s7]) ).
cnf(s4277,plain,
spl176_22,
inference(rat,[],[s48,s4186,s7]) ).
cnf(s4308,plain,
spl176_152,
inference(rat,[],[s253,s4259,s4266]) ).
cnf(s4326,plain,
spl176_151,
inference(rat,[],[s243,s4308,s7,s31,s33,s4276]) ).
cnf(s4335,plain,
spl176_27,
inference(rat,[],[s51,s10,s29,s4277]) ).
cnf(s4347,plain,
spl176_170,
inference(rat,[],[s269,s4276,s259,s7,s31,s33,s4308]) ).
cnf(s4348,plain,
spl176_159,
inference(rat,[],[s260,s4259,s4276,s7,s31,s33,s4308]) ).
cnf(s4374,plain,
spl176_34,
inference(rat,[],[s59,s7,s33,s4335]) ).
cnf(s4405,plain,
spl176_3432,
inference(rat,[],[s4068,s10,s21,s29,s4374]) ).
cnf(s4462,plain,
spl176_132,
inference(rat,[],[s207,s10,s21,s29,s4374]) ).
cnf(s4463,plain,
spl176_129,
inference(rat,[],[s204,s10,s21,s29,s4374]) ).
cnf(s4486,plain,
spl176_90,
inference(rat,[],[s146,s4335,s4277,s10,s21,s29,s4374]) ).
cnf(s4721,plain,
spl176_3437,
inference(rat,[],[s4076,s4276,s4308,s4188,s4462]) ).
cnf(s4722,plain,
spl176_3439,
inference(rat,[],[s4088,s4276,s4308,s4188,s4463]) ).
cnf(s4744,plain,
spl176_91,
inference(rat,[],[s148,s4374,s4335,s7,s31,s33,s4486]) ).
cnf(s5356,plain,
spl176_3438,
inference(rat,[],[s4086,s4101,s4082,s4722,s4721,s4744,s4348,s29,s21,s10,s4188,s4308,s4276,s4374]) ).
cnf(s5357,plain,
spl176_3442,
inference(rat,[],[s4080,s5356]) ).
cnf(s5358,plain,
spl176_3440,
inference(rat,[],[s4086,s4102,s4085,s4722,s4721,s4744,s4347,s29,s21,s10,s4188,s4308,s4276,s4374]) ).
cnf(s5359,plain,
spl176_3441,
inference(rat,[],[s4083,s5358]) ).
cnf(s5360,plain,
$false,
inference(rat,[],[s4073,s5357,s5356,s4744,s4722,s4463,s4721,s4405,s4308,s4326,s4462,s4276,s4188,s5358,s5359]) ).
fof(f49301,plain,
$false,
inference(avatar_sat_refutation,[],[s5360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT298+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:27:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.02/3.85 % (3618998)Detected formulas, will run a generic FOF schedule.
% 16.02/3.85 % (3619005)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=4225448274:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 16.02/3.85 % (3619003)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=4090573767:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 16.02/3.85 % (3619007)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1695509749:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 16.02/3.85 % (3619006)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2082811931:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 16.02/3.85 % (3619008)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=341070979:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 16.02/3.85 % (3619009)dis-21_1_sil=8000:lcm=predicate:random_seed=2535966789: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)
% 16.02/3.85 % (3619004)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=1064138779:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 16.02/3.85 % (3619008)Instruction limit reached!
% 16.02/3.85 % (3619008)------------------------------
% 16.02/3.85 % (3619008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.02/3.85 % (3619008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/3.85 % (3619008)CaDiCaL version: 2.1.3
% 16.02/3.85 % (3619008)Termination reason: Instruction limit
% 16.02/3.85 % (3619008)Termination phase: Property scanning
% 16.02/3.85 % (3619008)Time elapsed: 0.058 s
% 16.02/3.85 % (3619008)Peak memory usage: 102 MB
% 16.02/3.85 % (3619008)Instructions burned: 140 (million)
% 16.02/3.85 % (3619006)Refutation not found, incomplete strategy
% 16.02/3.85 % (3619006)------------------------------
% 16.02/3.85 % (3619006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.02/3.85 % (3619006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/3.85 % (3619006)CaDiCaL version: 2.1.3
% 16.02/3.85 % (3619006)Termination reason: Refutation not found, incomplete strategy
% 16.02/3.85 % (3619006)Time elapsed: 0.063 s
% 16.02/3.85 % (3619006)Peak memory usage: 107 MB
% 16.02/3.85 % (3619006)Instructions burned: 78 (million)
% 16.02/3.85 % (3619007)Instruction limit reached!
% 16.02/3.85 % (3619007)------------------------------
% 16.02/3.85 % (3619007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.02/3.85 % (3619007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/3.85 % (3619007)CaDiCaL version: 2.1.3
% 16.02/3.85 % (3619007)Termination reason: Instruction limit
% 16.02/3.85 % (3619007)Termination phase: Saturation
% 16.02/3.85 % (3619007)Time elapsed: 0.089 s
% 16.02/3.85 % (3619007)Peak memory usage: 105 MB
% 16.02/3.85 % (3619007)Instructions burned: 121 (million)
% 16.02/3.85 % (3619009)Instruction limit reached!
% 16.02/3.85 % (3619009)------------------------------
% 16.02/3.85 % (3619009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.02/3.85 % (3619009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/3.85 % (3619009)CaDiCaL version: 2.1.3
% 16.02/3.85 % (3619009)Termination reason: Instruction limit
% 16.02/3.85 % (3619009)Termination phase: Preprocessing 1
% 16.02/3.85 % (3619009)Time elapsed: 0.094 s
% 16.02/3.85 % (3619009)Peak memory usage: 103 MB
% 16.02/3.85 % (3619009)Instructions burned: 129 (million)
% 16.02/3.85 % (3619017)lrs+10_1_sil=8000:sp=occurrence:random_seed=4861944:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 16.02/3.85 % (3619018)lrs+10_1_sil=32000:urr=on:br=off:random_seed=542060831:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 16.02/3.85 % (3619019)lrs+1011_1_sil=32000:sp=occurrence:random_seed=753264562:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 16.02/3.85 % (3619006)------------------------------
% 16.02/3.85 % (3619006)------------------------------
% 16.02/3.85 % (3619018)Instruction limit reached!
% 16.02/3.85 % (3619018)------------------------------
% 16.02/3.85 % (3619018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.58/4.85 % (3619018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/4.85 % (3619018)CaDiCaL version: 2.1.3
% 23.58/4.85 % (3619018)Termination reason: Instruction limit
% 23.58/4.85 % (3619018)Termination phase: Property scanning
% 23.58/4.85 % (3619018)Time elapsed: 0.067 s
% 23.58/4.85 % (3619018)Peak memory usage: 102 MB
% 23.58/4.85 % (3619018)Instructions burned: 158 (million)
% 23.58/4.85 % (3619019)Refutation not found, incomplete strategy
% 23.58/4.85 % (3619019)------------------------------
% 23.58/4.85 % (3619019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.58/4.85 % (3619019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/4.85 % (3619019)CaDiCaL version: 2.1.3
% 23.58/4.85 % (3619019)Termination reason: Refutation not found, incomplete strategy
% 23.58/4.85 % (3619019)Time elapsed: 0.066 s
% 23.58/4.85 % (3619019)Peak memory usage: 107 MB
% 23.58/4.85 % (3619019)Instructions burned: 75 (million)
% 23.58/4.85 % (3619017)Instruction limit reached!
% 23.58/4.85 % (3619017)------------------------------
% 23.58/4.85 % (3619017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.58/4.85 % (3619017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/4.85 % (3619017)CaDiCaL version: 2.1.3
% 23.58/4.85 % (3619017)Termination reason: Instruction limit
% 23.58/4.85 % (3619017)Termination phase: Saturation
% 23.58/4.85 % (3619017)Time elapsed: 0.196 s
% 23.58/4.85 % (3619017)Peak memory usage: 109 MB
% 23.58/4.85 % (3619017)Instructions burned: 286 (million)
% 23.58/4.85 % (3619023)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=190054960:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 23.58/4.85 % (3619024)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1205635013:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 23.58/4.85 % (3619019)------------------------------
% 23.58/4.85 % (3619019)------------------------------
% 23.58/4.85 % (3619025)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2422982461:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 23.58/4.85 % (3619023)Instruction limit reached!
% 23.58/4.85 % (3619023)------------------------------
% 23.58/4.85 % (3619023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.58/4.85 % (3619023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/4.85 % (3619023)CaDiCaL version: 2.1.3
% 23.58/4.85 % (3619023)Termination reason: Instruction limit
% 23.58/4.85 % (3619023)Termination phase: SInE selection
% 23.58/4.85 % (3619023)Time elapsed: 0.126 s
% 23.58/4.85 % (3619023)Peak memory usage: 103 MB
% 23.58/4.85 % (3619023)Instructions burned: 249 (million)
% 23.58/4.85 % (3619024)Instruction limit reached!
% 23.58/4.85 % (3619024)------------------------------
% 23.58/4.85 % (3619024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.58/4.85 % (3619024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/4.85 % (3619024)CaDiCaL version: 2.1.3
% 23.58/4.85 % (3619024)Termination reason: Instruction limit
% 23.58/4.85 % (3619024)Termination phase: Saturation
% 23.58/4.85 % (3619024)Time elapsed: 0.181 s
% 23.58/4.85 % (3619024)Peak memory usage: 110 MB
% 23.58/4.85 % (3619024)Instructions burned: 295 (million)
% 23.58/4.85 % (3619029)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=841292124:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 23.58/4.85 % (3619030)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3112801576:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 23.58/4.85 % (3619029)Instruction limit reached!
% 23.58/4.85 % (3619029)------------------------------
% 23.58/4.85 % (3619029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.58/4.85 % (3619029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/4.85 % (3619029)CaDiCaL version: 2.1.3
% 23.58/4.85 % (3619029)Termination reason: Instruction limit
% 23.58/4.85 % (3619029)Termination phase: Preprocessing 3
% 23.58/4.85 % (3619029)Time elapsed: 0.093 s
% 23.58/4.85 % (3619029)Peak memory usage: 105 MB
% 23.58/4.85 % (3619029)Instructions burned: 113 (million)
% 23.58/4.85 % (3619031)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=185159658:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 23.58/4.85 % (3619030)Instruction limit reached!
% 55.94/9.33 % (3619030)------------------------------
% 55.94/9.33 % (3619030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.94/9.33 % (3619030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/9.33 % (3619030)CaDiCaL version: 2.1.3
% 55.94/9.33 % (3619030)Termination reason: Instruction limit
% 55.94/9.33 % (3619030)Termination phase: Preprocessing 2
% 55.94/9.33 % (3619030)Time elapsed: 0.104 s
% 55.94/9.33 % (3619030)Peak memory usage: 106 MB
% 55.94/9.33 % (3619030)Instructions burned: 127 (million)
% 55.94/9.33 % (3619031)Instruction limit reached!
% 55.94/9.33 % (3619031)------------------------------
% 55.94/9.33 % (3619031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.94/9.33 % (3619031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/9.33 % (3619031)CaDiCaL version: 2.1.3
% 55.94/9.33 % (3619031)Termination reason: Instruction limit
% 55.94/9.33 % (3619031)Termination phase: Property scanning
% 55.94/9.33 % (3619031)Time elapsed: 0.050 s
% 55.94/9.33 % (3619031)Peak memory usage: 102 MB
% 55.94/9.33 % (3619031)Instructions burned: 116 (million)
% 55.94/9.33 % (3619034)lrs+10_1_sil=8000:sp=occurrence:random_seed=1116823073:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 55.94/9.33 % (3619036)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=344373163:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 55.94/9.33 % (3619037)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1997341961:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 55.94/9.33 % (3619036)Instruction limit reached!
% 55.94/9.33 % (3619036)------------------------------
% 55.94/9.33 % (3619036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.94/9.33 % (3619036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/9.33 % (3619036)CaDiCaL version: 2.1.3
% 55.94/9.33 % (3619036)Termination reason: Instruction limit
% 55.94/9.33 % (3619036)Termination phase: Saturation
% 55.94/9.33 % (3619036)Time elapsed: 0.253 s
% 55.94/9.33 % (3619036)Peak memory usage: 110 MB
% 55.94/9.33 % (3619036)Instructions burned: 437 (million)
% 55.94/9.33 % (3619041)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2533768248:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 55.94/9.33 % (3619041)Instruction limit reached!
% 55.94/9.33 % (3619041)------------------------------
% 55.94/9.33 % (3619041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.94/9.33 % (3619041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/9.33 % (3619041)CaDiCaL version: 2.1.3
% 55.94/9.33 % (3619041)Termination reason: Instruction limit
% 55.94/9.33 % (3619041)Termination phase: Saturation
% 55.94/9.33 % (3619041)Time elapsed: 0.095 s
% 55.94/9.33 % (3619041)Peak memory usage: 107 MB
% 55.94/9.33 % (3619041)Instructions burned: 135 (million)
% 55.94/9.33 % (3619034)Instruction limit reached!
% 55.94/9.33 % (3619034)------------------------------
% 55.94/9.33 % (3619034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.94/9.33 % (3619034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/9.33 % (3619034)CaDiCaL version: 2.1.3
% 55.94/9.33 % (3619034)Termination reason: Instruction limit
% 55.94/9.33 % (3619034)Termination phase: Saturation
% 55.94/9.33 % (3619034)Time elapsed: 0.590 s
% 55.94/9.33 % (3619034)Peak memory usage: 121 MB
% 55.94/9.33 % (3619034)Instructions burned: 908 (million)
% 55.94/9.33 % (3619043)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=741577329:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 55.94/9.33 % (3619044)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=490958709:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 55.94/9.33 % (3619025)Instruction limit reached!
% 55.94/9.33 % (3619025)------------------------------
% 55.94/9.33 % (3619025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.94/9.33 % (3619025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/9.33 % (3619025)CaDiCaL version: 2.1.3
% 55.94/9.33 % (3619025)Termination reason: Instruction limit
% 55.94/9.33 % (3619025)Termination phase: Saturation
% 55.94/9.33 % (3619025)Time elapsed: 1.423 s
% 55.94/9.33 % (3619025)Peak memory usage: 239 MB
% 55.94/9.33 % (3619025)Instructions burned: 2351 (million)
% 55.94/9.33 % (3619043)Instruction limit reached!
% 87.82/13.91 % (3619043)------------------------------
% 87.82/13.91 % (3619043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.82/13.91 % (3619043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.82/13.91 % (3619043)CaDiCaL version: 2.1.3
% 87.82/13.91 % (3619043)Termination reason: Instruction limit
% 87.82/13.91 % (3619043)Termination phase: Property scanning
% 87.82/13.91 % (3619043)Time elapsed: 0.396 s
% 87.82/13.91 % (3619043)Peak memory usage: 122 MB
% 87.82/13.91 % (3619043)Instructions burned: 594 (million)
% 87.82/13.91 % (3619047)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=1707441056:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 87.82/13.91 % (3619047)Instruction limit reached!
% 87.82/13.91 % (3619047)------------------------------
% 87.82/13.91 % (3619047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.82/13.91 % (3619047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.82/13.91 % (3619047)CaDiCaL version: 2.1.3
% 87.82/13.91 % (3619047)Termination reason: Instruction limit
% 87.82/13.91 % (3619047)Termination phase: Property scanning
% 87.82/13.91 % (3619047)Time elapsed: 0.055 s
% 87.82/13.91 % (3619047)Peak memory usage: 102 MB
% 87.82/13.91 % (3619047)Instructions burned: 127 (million)
% 87.82/13.91 % (3619048)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3507058711:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 87.82/13.91 % (3619048)Instruction limit reached!
% 87.82/13.91 % (3619048)------------------------------
% 87.82/13.91 % (3619048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.82/13.91 % (3619048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.82/13.91 % (3619048)CaDiCaL version: 2.1.3
% 87.82/13.91 % (3619048)Termination reason: Instruction limit
% 87.82/13.91 % (3619048)Termination phase: Property scanning
% 87.82/13.91 % (3619048)Time elapsed: 0.058 s
% 87.82/13.91 % (3619048)Peak memory usage: 102 MB
% 87.82/13.91 % (3619048)Instructions burned: 137 (million)
% 87.82/13.91 % (3619050)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3259889859:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/141Mi)
% 87.82/13.91 % (3619050)Refutation not found, incomplete strategy
% 87.82/13.91 % (3619050)------------------------------
% 87.82/13.91 % (3619050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.82/13.91 % (3619050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.82/13.91 % (3619050)CaDiCaL version: 2.1.3
% 87.82/13.91 % (3619050)Termination reason: Refutation not found, incomplete strategy
% 87.82/13.91 % (3619050)Time elapsed: 0.065 s
% 87.82/13.91 % (3619050)Peak memory usage: 107 MB
% 87.82/13.91 % (3619050)Instructions burned: 76 (million)
% 87.82/13.91 % (3619052)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3079124318:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2967 on theBenchmark for (2967ds/431Mi)
% 87.82/13.91 % (3619052)Refutation not found, incomplete strategy
% 87.82/13.91 % (3619052)------------------------------
% 87.82/13.91 % (3619052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.82/13.91 % (3619052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.82/13.91 % (3619052)CaDiCaL version: 2.1.3
% 87.82/13.91 % (3619052)Termination reason: Refutation not found, incomplete strategy
% 87.82/13.91 % (3619052)Time elapsed: 0.072 s
% 87.82/13.91 % (3619052)Peak memory usage: 107 MB
% 87.82/13.91 % (3619052)Instructions burned: 83 (million)
% 87.82/13.91 % (3619050)------------------------------
% 87.82/13.91 % (3619050)------------------------------
% 87.82/13.91 % (3619052)------------------------------
% 87.82/13.91 % (3619052)------------------------------
% 87.82/13.91 % (3619055)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=2839653683:i=6060:aac=none:ins=25_2964 on theBenchmark for (2964ds/6060Mi)
% 87.82/13.91 % (3619056)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=1418727269:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2963 on theBenchmark for (2963ds/150Mi)
% 87.82/13.91 % (3619056)Instruction limit reached!
% 87.82/13.91 % (3619056)------------------------------
% 125.10/19.08 % (3619056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.10/19.08 % (3619056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.10/19.08 % (3619056)CaDiCaL version: 2.1.3
% 125.10/19.08 % (3619056)Termination reason: Instruction limit
% 125.10/19.08 % (3619056)Termination phase: Preprocessing 1
% 125.10/19.08 % (3619056)Time elapsed: 0.112 s
% 125.10/19.08 % (3619056)Peak memory usage: 103 MB
% 125.10/19.08 % (3619056)Instructions burned: 151 (million)
% 125.10/19.08 % (3619059)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1082982494:i=14155:bd=all_2960 on theBenchmark for (2960ds/14155Mi)
% 125.10/19.08 % (3619037)Instruction limit reached!
% 125.10/19.08 % (3619037)------------------------------
% 125.10/19.08 % (3619037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.10/19.08 % (3619037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.10/19.08 % (3619037)CaDiCaL version: 2.1.3
% 125.10/19.08 % (3619037)Termination reason: Instruction limit
% 125.10/19.08 % (3619037)Termination phase: Saturation
% 125.10/19.08 % (3619037)Time elapsed: 3.777 s
% 125.10/19.08 % (3619037)Peak memory usage: 425 MB
% 125.10/19.08 % (3619037)Instructions burned: 5203 (million)
% 125.10/19.08 % (3619061)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1319435695:i=667:av=off:fsr=off_2942 on theBenchmark for (2942ds/667Mi)
% 125.10/19.08 % (3619061)Instruction limit reached!
% 125.10/19.08 % (3619061)------------------------------
% 125.10/19.08 % (3619061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.10/19.08 % (3619061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.10/19.08 % (3619061)CaDiCaL version: 2.1.3
% 125.10/19.08 % (3619061)Termination reason: Instruction limit
% 125.10/19.08 % (3619061)Termination phase: NewCNF
% 125.10/19.08 % (3619061)Time elapsed: 0.501 s
% 125.10/19.08 % (3619061)Peak memory usage: 135 MB
% 125.10/19.08 % (3619061)Instructions burned: 667 (million)
% 125.10/19.08 % (3619063)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=1599174562:s2a=on:i=185:s2at=1.8:fdi=4_2935 on theBenchmark for (2935ds/185Mi)
% 125.10/19.08 % (3619063)Instruction limit reached!
% 125.10/19.08 % (3619063)------------------------------
% 125.10/19.08 % (3619063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.10/19.08 % (3619063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.10/19.08 % (3619063)CaDiCaL version: 2.1.3
% 125.10/19.08 % (3619063)Termination reason: Instruction limit
% 125.10/19.08 % (3619063)Termination phase: Preprocessing 1
% 125.10/19.08 % (3619063)Time elapsed: 0.143 s
% 125.10/19.08 % (3619063)Peak memory usage: 104 MB
% 125.10/19.08 % (3619063)Instructions burned: 186 (million)
% 125.10/19.08 % (3619065)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=225383767:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2932 on theBenchmark for (2932ds/193Mi)
% 125.10/19.08 % (3619065)Instruction limit reached!
% 125.10/19.08 % (3619065)------------------------------
% 125.10/19.08 % (3619065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.10/19.08 % (3619065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.10/19.08 % (3619065)CaDiCaL version: 2.1.3
% 125.10/19.08 % (3619065)Termination reason: Instruction limit
% 125.10/19.08 % (3619065)Termination phase: Saturation
% 125.10/19.08 % (3619065)Time elapsed: 0.149 s
% 125.10/19.08 % (3619065)Peak memory usage: 106 MB
% 125.10/19.08 % (3619065)Instructions burned: 193 (million)
% 125.10/19.08 % (3619067)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1810759813:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2929 on theBenchmark for (2929ds/4850Mi)
% 125.10/19.08 % (3619055)Instruction limit reached!
% 125.10/19.08 % (3619055)------------------------------
% 125.10/19.08 % (3619055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.10/19.08 % (3619055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.10/19.08 % (3619055)CaDiCaL version: 2.1.3
% 125.10/19.08 % (3619055)Termination reason: Instruction limit
% 125.10/19.08 % (3619055)Termination phase: Saturation
% 125.10/19.08 % (3619055)Time elapsed: 4.493 s
% 125.10/19.08 % (3619055)Peak memory usage: 377 MB
% 125.10/19.08 % (3619055)Instructions burned: 6060 (million)
% 125.10/19.08 % (3619069)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2486666414:i=12111:sd=1:ss=included_2917 on theBenchmark for (2917ds/12111Mi)
% 67.52/19.44 % (3619067)Instruction limit reached!
% 67.52/19.44 % (3619067)------------------------------
% 67.52/19.44 % (3619067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619067)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619067)Termination reason: Instruction limit
% 67.52/19.44 % (3619067)Termination phase: Saturation
% 67.52/19.44 % (3619067)Time elapsed: 2.688 s
% 67.52/19.44 % (3619067)Peak memory usage: 174 MB
% 67.52/19.44 % (3619067)Instructions burned: 4851 (million)
% 67.52/19.44 % (3619071)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1132333762:i=319:kws=precedence:fsr=off_2900 on theBenchmark for (2900ds/319Mi)
% 67.52/19.44 % (3619071)Instruction limit reached!
% 67.52/19.44 % (3619071)------------------------------
% 67.52/19.44 % (3619071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619071)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619071)Termination reason: Instruction limit
% 67.52/19.44 % (3619071)Termination phase: Preprocessing 3
% 67.52/19.44 % (3619071)Time elapsed: 0.232 s
% 67.52/19.44 % (3619071)Peak memory usage: 122 MB
% 67.52/19.44 % (3619071)Instructions burned: 319 (million)
% 67.52/19.44 % (3619073)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1789688975:i=2064:ep=RST_2896 on theBenchmark for (2896ds/2064Mi)
% 67.52/19.44 % (3619044)Instruction limit reached!
% 67.52/19.44 % (3619044)------------------------------
% 67.52/19.44 % (3619044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619044)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619044)Termination reason: Instruction limit
% 67.52/19.44 % (3619044)Termination phase: Saturation
% 67.52/19.44 % (3619044)Time elapsed: 8.319 s
% 67.52/19.44 % (3619044)Peak memory usage: 260 MB
% 67.52/19.44 % (3619044)Instructions burned: 13195 (million)
% 67.52/19.44 % (3619075)dis-1011_128_sil=32000:random_seed=3905510367:i=3706:ep=RST:av=off_2890 on theBenchmark for (2890ds/3706Mi)
% 67.52/19.44 % (3619073)Instruction limit reached!
% 67.52/19.44 % (3619073)------------------------------
% 67.52/19.44 % (3619073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619073)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619073)Termination reason: Instruction limit
% 67.52/19.44 % (3619073)Termination phase: Saturation
% 67.52/19.44 % (3619073)Time elapsed: 0.982 s
% 67.52/19.44 % (3619073)Peak memory usage: 147 MB
% 67.52/19.44 % (3619073)Instructions burned: 2064 (million)
% 67.52/19.44 % (3619077)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3797800096:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2884 on theBenchmark for (2884ds/757Mi)
% 67.52/19.44 % (3619077)Instruction limit reached!
% 67.52/19.44 % (3619077)------------------------------
% 67.52/19.44 % (3619077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619077)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619077)Termination reason: Instruction limit
% 67.52/19.44 % (3619077)Termination phase: Saturation
% 67.52/19.44 % (3619077)Time elapsed: 0.584 s
% 67.52/19.44 % (3619077)Peak memory usage: 119 MB
% 67.52/19.44 % (3619077)Instructions burned: 757 (million)
% 67.52/19.44 % (3619079)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3236424390:i=13913:ss=axioms:sgt=8_2877 on theBenchmark for (2877ds/13913Mi)
% 67.52/19.44 % (3619059)Instruction limit reached!
% 67.52/19.44 % (3619059)------------------------------
% 67.52/19.44 % (3619059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619059)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619059)Termination reason: Instruction limit
% 67.52/19.44 % (3619059)Termination phase: Saturation
% 67.52/19.44 % (3619059)Time elapsed: 8.653 s
% 67.52/19.44 % (3619059)Peak memory usage: 465 MB
% 67.52/19.44 % (3619059)Instructions burned: 14155 (million)
% 67.52/19.44 % (3619081)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=4196041240:i=9925:aac=none_2871 on theBenchmark for (2871ds/9925Mi)
% 67.52/19.44 % (3619075)Instruction limit reached!
% 67.52/19.44 % (3619075)------------------------------
% 67.52/19.44 % (3619075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619075)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619075)Termination reason: Instruction limit
% 67.52/19.44 % (3619075)Termination phase: Saturation
% 67.52/19.44 % (3619075)Time elapsed: 1.968 s
% 67.52/19.44 % (3619075)Peak memory usage: 164 MB
% 67.52/19.44 % (3619075)Instructions burned: 3707 (million)
% 67.52/19.44 % (3619083)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2382943052:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2869 on theBenchmark for (2869ds/2479Mi)
% 67.52/19.44 % (3619083)Refutation not found, incomplete strategy
% 67.52/19.44 % (3619083)------------------------------
% 67.52/19.44 % (3619083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619083)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619083)Termination reason: Refutation not found, incomplete strategy
% 67.52/19.44 % (3619083)Time elapsed: 0.149 s
% 67.52/19.44 % (3619083)Peak memory usage: 107 MB
% 67.52/19.44 % (3619083)Instructions burned: 161 (million)
% 67.52/19.44 % (3619083)------------------------------
% 67.52/19.44 % (3619083)------------------------------
% 67.52/19.44 % (3619085)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2031365285:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2863 on theBenchmark for (2863ds/440Mi)
% 67.52/19.44 % (3619085)Instruction limit reached!
% 67.52/19.44 % (3619085)------------------------------
% 67.52/19.44 % (3619085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619085)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619085)Termination reason: Instruction limit
% 67.52/19.44 % (3619085)Termination phase: Preprocessing 1
% 67.52/19.44 % (3619085)Time elapsed: 0.192 s
% 67.52/19.44 % (3619085)Peak memory usage: 103 MB
% 67.52/19.44 % (3619085)Instructions burned: 440 (million)
% 67.52/19.44 % (3619087)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3511611391:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2859 on theBenchmark for (2859ds/11145Mi)
% 67.52/19.44 % (3619069)Instruction limit reached!
% 67.52/19.44 % (3619069)------------------------------
% 67.52/19.44 % (3619069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619069)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619069)Termination reason: Instruction limit
% 67.52/19.44 % (3619069)Termination phase: Saturation
% 67.52/19.44 % (3619069)Time elapsed: 6.794 s
% 67.52/19.44 % (3619069)Peak memory usage: 308 MB
% 67.52/19.44 % (3619069)Instructions burned: 12111 (million)
% 67.52/19.44 % (3619089)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=4048071206:cts=off:i=3034:av=off:er=known:fsd=on_2847 on theBenchmark for (2847ds/3034Mi)
% 67.52/19.44 % (3619089)Instruction limit reached!
% 67.52/19.44 % (3619089)------------------------------
% 67.52/19.44 % (3619089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619089)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619089)Termination reason: Instruction limit
% 67.52/19.44 % (3619089)Termination phase: Saturation
% 67.52/19.44 % (3619089)Time elapsed: 2.157 s
% 67.52/19.44 % (3619089)Peak memory usage: 423 MB
% 67.52/19.44 % (3619089)Instructions burned: 3035 (million)
% 67.52/19.44 % (3619091)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1048643335:st=2:s2a=on:i=524:s2at=2:ss=axioms_2823 on theBenchmark for (2823ds/524Mi)
% 67.52/19.44 % (3619091)Instruction limit reached!
% 67.52/19.44 % (3619091)------------------------------
% 67.52/19.44 % (3619091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619091)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619091)Termination reason: Instruction limit
% 67.52/19.44 % (3619091)Termination phase: Preprocessing 3
% 67.52/19.44 % (3619091)Time elapsed: 0.395 s
% 67.52/19.44 % (3619091)Peak memory usage: 117 MB
% 67.52/19.44 % (3619091)Instructions burned: 525 (million)
% 67.52/19.44 % (3619087)First to succeed.
% 67.52/19.44 % (3619087)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3618998"
% 67.52/19.44 % (3619093)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3393459915:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2817 on theBenchmark for (2817ds/1016Mi)
% 67.52/19.44 % (3619093)Refutation not found, incomplete strategy
% 67.52/19.44 % (3619093)------------------------------
% 67.52/19.44 % (3619093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.52/19.44 % (3619093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.52/19.44 % (3619093)CaDiCaL version: 2.1.3
% 67.52/19.44 % (3619093)Termination reason: Refutation not found, incomplete strategy
% 67.52/19.44 % (3619093)Time elapsed: 0.069 s
% 67.52/19.44 % (3619093)Peak memory usage: 107 MB
% 67.52/19.44 % (3619093)Instructions burned: 81 (million)
% 67.52/19.44 % (3619087)Refutation found. Thanks to Tanya!
% 67.52/19.44 % SZS status Theorem for theBenchmark
% 67.52/19.44 % SZS output start Proof for theBenchmark
% See solution above
% 127.96/19.64 % (3619087)------------------------------
% 127.96/19.64 % (3619087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.96/19.64 % (3619087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.96/19.64 % (3619087)CaDiCaL version: 2.1.3
% 127.96/19.64 % (3619087)Termination reason: Refutation
% 127.96/19.64 % (3619087)Time elapsed: 4.030 s
% 127.96/19.64 % (3619087)Peak memory usage: 189 MB
% 127.96/19.64 % (3619087)Instructions burned: 5719 (million)
% 127.96/19.64 % (3619087)------------------------------
% 127.96/19.64 % (3619087)------------------------------
% 127.96/19.64 % (3618998)Success in time 18.565 s
% 127.96/19.64 % Vampire exiting
%------------------------------------------------------------------------------