%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT298+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 85.30s 13.18s
% Output : Refutation 87.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 54
% Syntax : Number of formulae : 359 ( 64 unt; 42 def)
% Number of atoms : 2006 ( 134 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 2831 (1184 ~;1396 |; 156 &)
% ( 48 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 54 ( 52 usr; 34 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 11 con; 0-3 aty)
% Number of variables : 339 ( 0 sgn 321 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2318,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f2410,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f2423,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f2447,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/sandbox2/benchmark/theBenchmark.p',d1_filter_0) ).
fof(f2449,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/sandbox2/benchmark/theBenchmark.p',t9_filter_0) ).
fof(f2540,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f2597,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f2633,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/sandbox2/benchmark/theBenchmark.p',t52_lattice2) ).
fof(f2870,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_2) ).
fof(f2872,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f2922,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/sandbox2/benchmark/theBenchmark.p',t6_filter_2) ).
fof(f2934,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/sandbox2/benchmark/theBenchmark.p',t16_filter_2) ).
fof(f2935,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)],[f2934]) ).
fof(f2937,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,[],[f2449]) ).
fof(f2946,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,[],[f2935]) ).
fof(f2947,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,[],[f2946]) ).
fof(f2948,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,[],[f2872]) ).
fof(f2949,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,[],[f2948]) ).
fof(f2952,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,[],[f2870]) ).
fof(f2953,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,[],[f2952]) ).
fof(f2962,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,[],[f2922]) ).
fof(f2963,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,[],[f2962]) ).
fof(f2973,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,[],[f2597]) ).
fof(f2974,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,[],[f2973]) ).
fof(f2977,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,[],[f2540]) ).
fof(f2978,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,[],[f2977]) ).
fof(f3078,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,[],[f2633]) ).
fof(f3079,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,[],[f3078]) ).
fof(f3190,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,[],[f2937]) ).
fof(f3191,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,[],[f3190]) ).
fof(f3192,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,[],[f2447]) ).
fof(f3193,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,[],[f3192]) ).
fof(f3229,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2410]) ).
fof(f3257,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f2423]) ).
fof(f3258,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f3257]) ).
fof(f3437,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2318]) ).
fof(f3438,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3437]) ).
fof(f3481,definition,
! [X1,X0] :
( sP2(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,[sP2])],[predicate_definition_introduction]) ).
fof(f3482,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)) )
& sP2(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,[],[f3191,f3481]) ).
fof(f3486,plain,
( ~ m1_filter_2(sK7,sK6)
& m1_filter_2(sK7,sK5)
& g3_lattices(u1_struct_0(sK5),u2_lattices(sK5),u1_lattices(sK5)) = g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
& ~ v3_struct_0(sK6)
& v10_lattices(sK6)
& l3_lattices(sK6)
& ~ v3_struct_0(sK5)
& v10_lattices(sK5)
& l3_lattices(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7)],[f2947]) ).
fof(f3488,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,[],[f2949]) ).
fof(f3572,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)) )
| ~ sP2(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)) )
& sP2(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,[],[f3482]) ).
fof(f3573,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)) )
| ~ sP2(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)) )
& sP2(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,[],[f3572]) ).
fof(f3574,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)) )
| ~ sP2(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)) )
& sP2(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,[],[f3573]) ).
fof(f3575,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ( ~ r2_hidden(k4_lattices(X0,sK67(X0,X1),sK68(X0,X1)),X1)
& r2_hidden(sK67(X0,X1),X1)
& r2_hidden(sK68(X0,X1),X1)
& m1_subset_1(sK68(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK67(X0,X1),u1_struct_0(X0)) )
| ~ sP2(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)) )
& sP2(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,[sK67,sK68]),skolemize(X2,sK67(X0,X1)),skolemize(X3,sK68(X0,X1))],[f3574]) ).
fof(f3576,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,[],[f3193]) ).
fof(f3577,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,[],[f3576]) ).
fof(f3578,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,[],[f3577]) ).
fof(f3579,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ( ( ~ r2_hidden(k4_lattices(X0,sK69(X0,X1),sK70(X0,X1)),X1)
| ~ r2_hidden(sK69(X0,X1),X1)
| ~ r2_hidden(sK70(X0,X1),X1) )
& ( r2_hidden(k4_lattices(X0,sK69(X0,X1),sK70(X0,X1)),X1)
| ( r2_hidden(sK69(X0,X1),X1)
& r2_hidden(sK70(X0,X1),X1) ) )
& m1_subset_1(sK70(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK69(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,[sK69,sK70]),skolemize(X2,sK69(X0,X1)),skolemize(X3,sK70(X0,X1))],[f3578]) ).
fof(f3679,plain,
l3_lattices(sK5),
inference(cnf_transformation,[],[f3486]) ).
fof(f3680,plain,
v10_lattices(sK5),
inference(cnf_transformation,[],[f3486]) ).
fof(f3681,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f3486]) ).
fof(f3682,plain,
l3_lattices(sK6),
inference(cnf_transformation,[],[f3486]) ).
fof(f3683,plain,
v10_lattices(sK6),
inference(cnf_transformation,[],[f3486]) ).
fof(f3684,plain,
~ v3_struct_0(sK6),
inference(cnf_transformation,[],[f3486]) ).
fof(f3685,plain,
g3_lattices(u1_struct_0(sK5),u2_lattices(sK5),u1_lattices(sK5)) = g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6)),
inference(cnf_transformation,[],[f3486]) ).
fof(f3686,plain,
m1_filter_2(sK7,sK5),
inference(cnf_transformation,[],[f3486]) ).
fof(f3687,plain,
~ m1_filter_2(sK7,sK6),
inference(cnf_transformation,[],[f3486]) ).
fof(f3689,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,[],[f3488]) ).
fof(f3690,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,[],[f3488]) ).
fof(f3693,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,[],[f2953]) ).
fof(f3698,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,[],[f2963]) ).
fof(f3710,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f2974]) ).
fof(f3712,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,[],[f2978]) ).
fof(f3826,plain,
! [X2,X3,X0,X1,X4] :
( X1 != X3
| k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4)
| 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(cnf_transformation,[],[f3079]) ).
fof(f4050,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,[],[f3575]) ).
fof(f4058,plain,
! [X0,X1,X4,X5] :
( r2_hidden(X4,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)
| 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,[],[f3579]) ).
fof(f4059,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| m1_subset_1(sK69(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3579]) ).
fof(f4060,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| m1_subset_1(sK70(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3579]) ).
fof(f4061,plain,
! [X0,X1] :
( r2_hidden(sK70(X0,X1),X1)
| r2_hidden(k4_lattices(X0,sK69(X0,X1),sK70(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,[],[f3579]) ).
fof(f4062,plain,
! [X0,X1] :
( r2_hidden(sK69(X0,X1),X1)
| r2_hidden(k4_lattices(X0,sK69(X0,X1),sK70(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,[],[f3579]) ).
fof(f4063,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ r2_hidden(k4_lattices(X0,sK69(X0,X1),sK70(X0,X1)),X1)
| ~ r2_hidden(sK69(X0,X1),X1)
| ~ r2_hidden(sK70(X0,X1),X1)
| m1_filter_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3579]) ).
fof(f4095,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3229]) ).
fof(f4141,plain,
! [X2,X0,X1] :
( ~ v6_lattices(X0)
| v3_struct_0(X0)
| k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3258]) ).
fof(f4425,plain,
! [X0] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3438]) ).
fof(f4513,definition,
sF134 = u1_struct_0(sK5),
introduced(definition,[new_symbols(definition,[sF134])],[function_definition]) ).
fof(f4514,plain,
u1_struct_0(sK5) = sF134,
inference(reorient_equations,[],[f4513]) ).
fof(f4515,definition,
sF135 = u2_lattices(sK5),
introduced(definition,[new_symbols(definition,[sF135])],[function_definition]) ).
fof(f4516,plain,
u2_lattices(sK5) = sF135,
inference(reorient_equations,[],[f4515]) ).
fof(f4517,definition,
sF136 = u1_lattices(sK5),
introduced(definition,[new_symbols(definition,[sF136])],[function_definition]) ).
fof(f4518,plain,
u1_lattices(sK5) = sF136,
inference(reorient_equations,[],[f4517]) ).
fof(f4519,definition,
sF137 = g3_lattices(sF134,sF135,sF136),
introduced(definition,[new_symbols(definition,[sF137])],[function_definition]) ).
fof(f4520,plain,
g3_lattices(sF134,sF135,sF136) = sF137,
inference(reorient_equations,[],[f4519]) ).
fof(f4521,definition,
sF138 = u1_struct_0(sK6),
introduced(definition,[new_symbols(definition,[sF138])],[function_definition]) ).
fof(f4522,plain,
u1_struct_0(sK6) = sF138,
inference(reorient_equations,[],[f4521]) ).
fof(f4523,definition,
sF139 = u2_lattices(sK6),
introduced(definition,[new_symbols(definition,[sF139])],[function_definition]) ).
fof(f4524,plain,
u2_lattices(sK6) = sF139,
inference(reorient_equations,[],[f4523]) ).
fof(f4525,definition,
sF140 = u1_lattices(sK6),
introduced(definition,[new_symbols(definition,[sF140])],[function_definition]) ).
fof(f4526,plain,
u1_lattices(sK6) = sF140,
inference(reorient_equations,[],[f4525]) ).
fof(f4527,definition,
sF141 = g3_lattices(sF138,sF139,sF140),
introduced(definition,[new_symbols(definition,[sF141])],[function_definition]) ).
fof(f4528,plain,
g3_lattices(sF138,sF139,sF140) = sF141,
inference(reorient_equations,[],[f4527]) ).
fof(f4529,plain,
sF137 = sF141,
inference(definition_folding,[],[f3685,f4528,f4526,f4524,f4522,f4520,f4518,f4516,f4514]) ).
fof(f4549,definition,
( spl142_1
<=> l3_lattices(sK5) ),
introduced(definition,[new_symbols(definition,[spl142_1])],[avatar_definition]) ).
fof(f4574,definition,
( spl142_5
<=> l3_lattices(sK6) ),
introduced(definition,[new_symbols(definition,[spl142_5])],[avatar_definition]) ).
fof(f4597,plain,
spl142_1,
inference(avatar_split_clause,[],[f3679,f4549]) ).
fof(f4603,plain,
spl142_5,
inference(avatar_split_clause,[],[f3682,f4574]) ).
fof(f4634,definition,
( spl142_9
<=> v10_lattices(sK6) ),
introduced(definition,[new_symbols(definition,[spl142_9])],[avatar_definition]) ).
fof(f4635,plain,
( v10_lattices(sK6)
| ~ spl142_9 ),
inference(avatar_component_clause,[],[f4634]) ).
fof(f4638,definition,
( spl142_10
<=> v3_struct_0(sK6) ),
introduced(definition,[new_symbols(definition,[spl142_10])],[avatar_definition]) ).
fof(f4647,definition,
( spl142_12
<=> v10_lattices(sK5) ),
introduced(definition,[new_symbols(definition,[spl142_12])],[avatar_definition]) ).
fof(f4648,plain,
( v10_lattices(sK5)
| ~ spl142_12 ),
inference(avatar_component_clause,[],[f4647]) ).
fof(f4651,definition,
( spl142_13
<=> v3_struct_0(sK5) ),
introduced(definition,[new_symbols(definition,[spl142_13])],[avatar_definition]) ).
fof(f4713,plain,
( ~ m1_filter_0(sK7,sK6)
| v3_struct_0(sK6)
| ~ v10_lattices(sK6)
| ~ l3_lattices(sK6) ),
inference(resolution,[],[f3690,f3687]) ).
fof(f4715,definition,
( spl142_19
<=> m1_filter_0(sK7,sK6) ),
introduced(definition,[new_symbols(definition,[spl142_19])],[avatar_definition]) ).
fof(f4718,plain,
( ~ spl142_5
| ~ spl142_9
| spl142_10
| ~ spl142_19 ),
inference(avatar_split_clause,[],[f4713,f4715,f4638,f4634,f4574]) ).
fof(f4721,plain,
spl142_12,
inference(avatar_split_clause,[],[f3680,f4647]) ).
fof(f4724,plain,
~ spl142_13,
inference(avatar_split_clause,[],[f3681,f4651]) ).
fof(f4728,plain,
spl142_9,
inference(avatar_split_clause,[],[f3683,f4634]) ).
fof(f4772,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(sF138,u2_lattices(sK6),u1_lattices(sK6))
| k1_lattice2(X0) = k1_lattice2(sK6)
| ~ l3_lattices(X0)
| ~ l3_lattices(sK6) ),
inference(superposition,[],[f3698,f4522]) ).
fof(f4809,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(sF138,u2_lattices(sK6),sF140)
| k1_lattice2(X0) = k1_lattice2(sK6)
| ~ l3_lattices(X0)
| ~ l3_lattices(sK6) ),
inference(forward_demodulation,[],[f4772,f4526]) ).
fof(f4821,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(sF138,sF139,sF140)
| k1_lattice2(X0) = k1_lattice2(sK6)
| ~ l3_lattices(X0)
| ~ l3_lattices(sK6) ),
inference(forward_demodulation,[],[f4809,f4524]) ).
fof(f4833,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != sF141
| k1_lattice2(X0) = k1_lattice2(sK6)
| ~ l3_lattices(X0)
| ~ l3_lattices(sK6) ),
inference(forward_demodulation,[],[f4821,f4528]) ).
fof(f4848,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != sF137
| k1_lattice2(X0) = k1_lattice2(sK6)
| ~ l3_lattices(X0)
| ~ l3_lattices(sK6) ),
inference(forward_demodulation,[],[f4833,f4529]) ).
fof(f4851,definition,
( spl142_27
<=> ! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != sF137
| ~ l3_lattices(X0)
| k1_lattice2(X0) = k1_lattice2(sK6) ) ),
introduced(definition,[new_symbols(definition,[spl142_27])],[avatar_definition]) ).
fof(f4852,plain,
( ! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != sF137
| ~ l3_lattices(X0)
| k1_lattice2(X0) = k1_lattice2(sK6) )
| ~ spl142_27 ),
inference(avatar_component_clause,[],[f4851]) ).
fof(f4858,plain,
( ~ spl142_5
| spl142_27 ),
inference(avatar_split_clause,[],[f4848,f4851,f4574]) ).
fof(f4859,plain,
( sF137 != g3_lattices(sF134,u2_lattices(sK5),u1_lattices(sK5))
| ~ l3_lattices(sK5)
| k1_lattice2(sK5) = k1_lattice2(sK6)
| ~ spl142_27 ),
inference(superposition,[],[f4852,f4514]) ).
fof(f4871,plain,
( sF137 != g3_lattices(sF134,u2_lattices(sK5),sF136)
| ~ l3_lattices(sK5)
| k1_lattice2(sK5) = k1_lattice2(sK6)
| ~ spl142_27 ),
inference(forward_demodulation,[],[f4859,f4518]) ).
fof(f4874,plain,
( g3_lattices(sF134,sF135,sF136) != sF137
| ~ l3_lattices(sK5)
| k1_lattice2(sK5) = k1_lattice2(sK6)
| ~ spl142_27 ),
inference(forward_demodulation,[],[f4871,f4516]) ).
fof(f4879,plain,
( sF137 != sF137
| ~ l3_lattices(sK5)
| k1_lattice2(sK5) = k1_lattice2(sK6)
| ~ spl142_27 ),
inference(forward_demodulation,[],[f4874,f4520]) ).
fof(f4880,plain,
( ~ l3_lattices(sK5)
| k1_lattice2(sK5) = k1_lattice2(sK6)
| ~ spl142_27 ),
inference(trivial_inequality_removal,[],[f4879]) ).
fof(f4882,definition,
( spl142_28
<=> k1_lattice2(sK5) = k1_lattice2(sK6) ),
introduced(definition,[new_symbols(definition,[spl142_28])],[avatar_definition]) ).
fof(f4884,plain,
( k1_lattice2(sK5) = k1_lattice2(sK6)
| ~ spl142_28 ),
inference(avatar_component_clause,[],[f4882]) ).
fof(f4887,plain,
( spl142_28
| ~ spl142_1
| ~ spl142_27 ),
inference(avatar_split_clause,[],[f4880,f4851,f4549,f4882]) ).
fof(f4892,plain,
( u1_struct_0(sK6) = u1_struct_0(k1_lattice2(sK5))
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| ~ spl142_28 ),
inference(superposition,[],[f3710,f4884]) ).
fof(f4893,plain,
( sF138 = u1_struct_0(k1_lattice2(sK5))
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| ~ spl142_28 ),
inference(forward_demodulation,[],[f4892,f4522]) ).
fof(f4897,definition,
( spl142_29
<=> sF138 = u1_struct_0(k1_lattice2(sK5)) ),
introduced(definition,[new_symbols(definition,[spl142_29])],[avatar_definition]) ).
fof(f4899,plain,
( sF138 = u1_struct_0(k1_lattice2(sK5))
| ~ spl142_29 ),
inference(avatar_component_clause,[],[f4897]) ).
fof(f4900,plain,
( ~ spl142_5
| spl142_10
| spl142_29
| ~ spl142_28 ),
inference(avatar_split_clause,[],[f4893,f4882,f4897,f4638,f4574]) ).
fof(f4913,plain,
~ spl142_10,
inference(avatar_split_clause,[],[f3684,f4638]) ).
fof(f4914,plain,
( u1_struct_0(sK5) = sF138
| v3_struct_0(sK5)
| ~ l3_lattices(sK5)
| ~ spl142_29 ),
inference(superposition,[],[f4899,f3710]) ).
fof(f4923,plain,
( sF134 = sF138
| v3_struct_0(sK5)
| ~ l3_lattices(sK5)
| ~ spl142_29 ),
inference(forward_demodulation,[],[f4914,f4514]) ).
fof(f4925,definition,
( spl142_32
<=> sF134 = sF138 ),
introduced(definition,[new_symbols(definition,[spl142_32])],[avatar_definition]) ).
fof(f4927,plain,
( sF134 = sF138
| ~ spl142_32 ),
inference(avatar_component_clause,[],[f4925]) ).
fof(f4929,plain,
( ~ spl142_1
| spl142_13
| spl142_32
| ~ spl142_29 ),
inference(avatar_split_clause,[],[f4923,f4897,f4925,f4651,f4549]) ).
fof(f5200,plain,
( ~ v1_xboole_0(sK7)
| v3_struct_0(sK5)
| ~ v10_lattices(sK5)
| ~ l3_lattices(sK5) ),
inference(resolution,[],[f3693,f3686]) ).
fof(f5204,definition,
( spl142_41
<=> v1_xboole_0(sK7) ),
introduced(definition,[new_symbols(definition,[spl142_41])],[avatar_definition]) ).
fof(f5206,plain,
( ~ v1_xboole_0(sK7)
| spl142_41 ),
inference(avatar_component_clause,[],[f5204]) ).
fof(f5207,plain,
( ~ spl142_1
| ~ spl142_12
| spl142_13
| ~ spl142_41 ),
inference(avatar_split_clause,[],[f5200,f5204,f4651,f4647,f4549]) ).
fof(f5333,definition,
( spl142_52
<=> l1_lattices(sK6) ),
introduced(definition,[new_symbols(definition,[spl142_52])],[avatar_definition]) ).
fof(f5335,plain,
( ~ l1_lattices(sK6)
| spl142_52 ),
inference(avatar_component_clause,[],[f5333]) ).
fof(f5341,plain,
( ~ l3_lattices(sK6)
| spl142_52 ),
inference(resolution,[],[f5335,f4095]) ).
fof(f5342,plain,
( ~ spl142_5
| spl142_52 ),
inference(avatar_split_clause,[],[f5341,f5333,f4574]) ).
fof(f6133,definition,
( spl142_94
<=> v6_lattices(sK6) ),
introduced(definition,[new_symbols(definition,[spl142_94])],[avatar_definition]) ).
fof(f6134,plain,
( v6_lattices(sK6)
| ~ spl142_94 ),
inference(avatar_component_clause,[],[f6133]) ).
fof(f6135,plain,
( ~ v6_lattices(sK6)
| spl142_94 ),
inference(avatar_component_clause,[],[f6133]) ).
fof(f6314,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF134))
| ~ m1_filter_0(X0,sK5)
| v3_struct_0(sK5)
| ~ v10_lattices(sK5)
| ~ l3_lattices(sK5) ),
inference(superposition,[],[f3712,f4514]) ).
fof(f6319,definition,
( spl142_106
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF134))
| ~ m1_filter_0(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl142_106])],[avatar_definition]) ).
fof(f6320,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF134))
| ~ m1_filter_0(X0,sK5) )
| ~ spl142_106 ),
inference(avatar_component_clause,[],[f6319]) ).
fof(f6321,plain,
( ~ spl142_1
| ~ spl142_12
| spl142_13
| spl142_106 ),
inference(avatar_split_clause,[],[f6314,f6319,f4651,f4647,f4549]) ).
fof(f7739,plain,
! [X2,X3,X0,X1] :
( X2 != X3
| k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X1,X3)
| ~ m1_subset_1(X3,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,[],[f3826]) ).
fof(f7740,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| ~ 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)
| k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X1,X2)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f7739]) ).
fof(f7743,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK5)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK5)))
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| v3_struct_0(sK5)
| k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK5,X1,X0)
| ~ l3_lattices(sK5) )
| ~ spl142_12 ),
inference(resolution,[],[f7740,f4648]) ).
fof(f7744,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK6)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK6)))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9 ),
inference(resolution,[],[f7740,f4635]) ).
fof(f7747,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK5)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK6)))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28 ),
inference(forward_demodulation,[],[f7744,f4884]) ).
fof(f7748,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF138)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK5)))
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| v3_struct_0(sK5)
| k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK5,X1,X0)
| ~ l3_lattices(sK5) )
| ~ spl142_12
| ~ spl142_29 ),
inference(forward_demodulation,[],[f7743,f4899]) ).
fof(f7751,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF138)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK6)))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29 ),
inference(forward_demodulation,[],[f7747,f4899]) ).
fof(f7752,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK5)))
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| v3_struct_0(sK5)
| k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK5,X1,X0)
| ~ l3_lattices(sK5) )
| ~ spl142_12
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7748,f4927]) ).
fof(f7755,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK6)))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7751,f4927]) ).
fof(f7756,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF138)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| v3_struct_0(sK5)
| k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK5,X1,X0)
| ~ l3_lattices(sK5) )
| ~ spl142_12
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7752,f4899]) ).
fof(f7759,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK5)))
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7755,f4884]) ).
fof(f7760,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| v3_struct_0(sK5)
| k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK5,X1,X0)
| ~ l3_lattices(sK5) )
| ~ spl142_12
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7756,f4927]) ).
fof(f7763,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF138)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7759,f4899]) ).
fof(f7764,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| v3_struct_0(sK5)
| k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK5,X1,X0)
| ~ l3_lattices(sK5) )
| ~ spl142_12
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7760,f4514]) ).
fof(f7765,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X1,u1_struct_0(sK5))
| v3_struct_0(sK5)
| k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK5,X1,X0)
| ~ l3_lattices(sK5) )
| ~ spl142_12
| ~ spl142_29
| ~ spl142_32 ),
inference(duplicate_literal_removal,[],[f7764]) ).
fof(f7768,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7763,f4927]) ).
fof(f7769,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,sF134)
| v3_struct_0(sK5)
| k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK5,X1,X0)
| ~ l3_lattices(sK5) )
| ~ spl142_12
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7765,f4514]) ).
fof(f7770,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134)
| v3_struct_0(sK5)
| k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK5,X1,X0)
| ~ l3_lattices(sK5) )
| ~ spl142_12
| ~ spl142_29
| ~ spl142_32 ),
inference(duplicate_literal_removal,[],[f7769]) ).
fof(f7775,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF138)
| ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7768,f4522]) ).
fof(f7777,definition,
( spl142_179
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,sF134)
| k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK5,X1,X0)
| ~ m1_subset_1(X0,sF134) ) ),
introduced(definition,[new_symbols(definition,[spl142_179])],[avatar_definition]) ).
fof(f7778,plain,
( ! [X0,X1] :
( k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK5,X1,X0)
| ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134) )
| ~ spl142_179 ),
inference(avatar_component_clause,[],[f7777]) ).
fof(f7779,plain,
( ~ spl142_1
| spl142_13
| spl142_179
| ~ spl142_12
| ~ spl142_29
| ~ spl142_32 ),
inference(avatar_split_clause,[],[f7770,f4925,f4897,f4647,f7777,f4651,f4549]) ).
fof(f7783,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7775,f4927]) ).
fof(f7784,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32 ),
inference(duplicate_literal_removal,[],[f7783]) ).
fof(f7788,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF138)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,sF134)
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7784,f4522]) ).
fof(f7791,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,sF134)
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7788,f4927]) ).
fof(f7792,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134)
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k3_lattices(k1_lattice2(sK6),X1,X0)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32 ),
inference(duplicate_literal_removal,[],[f7791]) ).
fof(f7794,plain,
( ! [X0,X1] :
( k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK6,X1,X0)
| ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134)
| v3_struct_0(sK6)
| ~ l3_lattices(sK6) )
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32 ),
inference(forward_demodulation,[],[f7792,f4884]) ).
fof(f7796,definition,
( spl142_180
<=> ! [X0,X1] :
( k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK6,X1,X0)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,sF134) ) ),
introduced(definition,[new_symbols(definition,[spl142_180])],[avatar_definition]) ).
fof(f7797,plain,
( ! [X0,X1] :
( k3_lattices(k1_lattice2(sK5),X1,X0) = k4_lattices(sK6,X1,X0)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,sF134) )
| ~ spl142_180 ),
inference(avatar_component_clause,[],[f7796]) ).
fof(f7798,plain,
( ~ spl142_5
| spl142_10
| spl142_180
| ~ spl142_9
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32 ),
inference(avatar_split_clause,[],[f7794,f4925,f4897,f4882,f4634,f7796,f4638,f4574]) ).
fof(f7799,plain,
( ! [X0,X1] :
( k4_lattices(sK6,X0,X1) = k4_lattices(sK5,X0,X1)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134) )
| ~ spl142_179
| ~ spl142_180 ),
inference(superposition,[],[f7778,f7797]) ).
fof(f7802,plain,
( ! [X0,X1] :
( k4_lattices(sK6,X0,X1) = k4_lattices(sK5,X0,X1)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,sF134) )
| ~ spl142_179
| ~ spl142_180 ),
inference(duplicate_literal_removal,[],[f7799]) ).
fof(f8505,plain,
( v3_struct_0(sK6)
| ~ v10_lattices(sK6)
| ~ l3_lattices(sK6)
| spl142_94 ),
inference(resolution,[],[f4425,f6135]) ).
fof(f8508,plain,
( ~ spl142_5
| ~ spl142_9
| spl142_10
| spl142_94 ),
inference(avatar_split_clause,[],[f8505,f6133,f4638,f4634,f4574]) ).
fof(f9298,plain,
( ! [X0] :
( ~ v10_lattices(X0)
| m1_filter_0(sK7,X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| m1_subset_1(sK69(X0,sK7),u1_struct_0(X0))
| ~ l3_lattices(X0) )
| spl142_41 ),
inference(resolution,[],[f4059,f5206]) ).
fof(f9303,plain,
( m1_filter_0(sK7,sK6)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| v3_struct_0(sK6)
| m1_subset_1(sK69(sK6,sK7),u1_struct_0(sK6))
| ~ l3_lattices(sK6)
| ~ spl142_9
| spl142_41 ),
inference(resolution,[],[f9298,f4635]) ).
fof(f9306,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF138))
| m1_filter_0(sK7,sK6)
| v3_struct_0(sK6)
| m1_subset_1(sK69(sK6,sK7),u1_struct_0(sK6))
| ~ l3_lattices(sK6)
| ~ spl142_9
| spl142_41 ),
inference(forward_demodulation,[],[f9303,f4522]) ).
fof(f9310,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| m1_filter_0(sK7,sK6)
| v3_struct_0(sK6)
| m1_subset_1(sK69(sK6,sK7),u1_struct_0(sK6))
| ~ l3_lattices(sK6)
| ~ spl142_9
| ~ spl142_32
| spl142_41 ),
inference(forward_demodulation,[],[f9306,f4927]) ).
fof(f9318,definition,
( spl142_316
<=> m1_subset_1(sK7,k1_zfmisc_1(sF134)) ),
introduced(definition,[new_symbols(definition,[spl142_316])],[avatar_definition]) ).
fof(f9320,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| spl142_316 ),
inference(avatar_component_clause,[],[f9318]) ).
fof(f9326,plain,
( m1_subset_1(sK69(sK6,sK7),sF138)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| m1_filter_0(sK7,sK6)
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| ~ spl142_9
| ~ spl142_32
| spl142_41 ),
inference(forward_demodulation,[],[f9310,f4522]) ).
fof(f9328,definition,
( spl142_318
<=> m1_filter_0(sK7,sK5) ),
introduced(definition,[new_symbols(definition,[spl142_318])],[avatar_definition]) ).
fof(f9329,plain,
( ~ m1_filter_0(sK7,sK5)
| spl142_318 ),
inference(avatar_component_clause,[],[f9328]) ).
fof(f9330,plain,
( m1_filter_0(sK7,sK5)
| ~ spl142_318 ),
inference(avatar_component_clause,[],[f9328]) ).
fof(f9337,plain,
( m1_subset_1(sK69(sK6,sK7),sF134)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| m1_filter_0(sK7,sK6)
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| ~ spl142_9
| ~ spl142_32
| spl142_41 ),
inference(forward_demodulation,[],[f9326,f4927]) ).
fof(f9340,definition,
( spl142_320
<=> m1_subset_1(sK69(sK6,sK7),sF134) ),
introduced(definition,[new_symbols(definition,[spl142_320])],[avatar_definition]) ).
fof(f9343,plain,
( ~ spl142_5
| spl142_10
| spl142_19
| ~ spl142_316
| spl142_320
| ~ spl142_9
| ~ spl142_32
| spl142_41 ),
inference(avatar_split_clause,[],[f9337,f5204,f4925,f4634,f9340,f9318,f4715,f4638,f4574]) ).
fof(f9353,plain,
( ~ m1_filter_0(sK7,sK5)
| ~ spl142_106
| spl142_316 ),
inference(resolution,[],[f9320,f6320]) ).
fof(f9364,plain,
( ~ spl142_318
| ~ spl142_106
| spl142_316 ),
inference(avatar_split_clause,[],[f9353,f9318,f6319,f9328]) ).
fof(f9365,plain,
( ~ m1_filter_2(sK7,sK5)
| v3_struct_0(sK5)
| ~ v10_lattices(sK5)
| ~ l3_lattices(sK5)
| spl142_318 ),
inference(resolution,[],[f9329,f3689]) ).
fof(f9367,definition,
( spl142_323
<=> m1_filter_2(sK7,sK5) ),
introduced(definition,[new_symbols(definition,[spl142_323])],[avatar_definition]) ).
fof(f9368,plain,
( m1_filter_2(sK7,sK5)
| ~ spl142_323 ),
inference(avatar_component_clause,[],[f9367]) ).
fof(f9370,plain,
( ~ spl142_1
| ~ spl142_12
| spl142_13
| ~ spl142_323
| spl142_318 ),
inference(avatar_split_clause,[],[f9365,f9328,f9367,f4651,f4647,f4549]) ).
fof(f9374,plain,
spl142_323,
inference(avatar_split_clause,[],[f3686,f9367]) ).
fof(f9545,plain,
( ! [X0] :
( ~ v10_lattices(X0)
| m1_filter_0(sK7,X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| m1_subset_1(sK70(X0,sK7),u1_struct_0(X0))
| ~ l3_lattices(X0) )
| spl142_41 ),
inference(resolution,[],[f4060,f5206]) ).
fof(f9550,plain,
( m1_filter_0(sK7,sK6)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| v3_struct_0(sK6)
| m1_subset_1(sK70(sK6,sK7),u1_struct_0(sK6))
| ~ l3_lattices(sK6)
| ~ spl142_9
| spl142_41 ),
inference(resolution,[],[f9545,f4635]) ).
fof(f9552,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF138))
| m1_filter_0(sK7,sK6)
| v3_struct_0(sK6)
| m1_subset_1(sK70(sK6,sK7),u1_struct_0(sK6))
| ~ l3_lattices(sK6)
| ~ spl142_9
| spl142_41 ),
inference(forward_demodulation,[],[f9550,f4522]) ).
fof(f9553,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| m1_filter_0(sK7,sK6)
| v3_struct_0(sK6)
| m1_subset_1(sK70(sK6,sK7),u1_struct_0(sK6))
| ~ l3_lattices(sK6)
| ~ spl142_9
| ~ spl142_32
| spl142_41 ),
inference(forward_demodulation,[],[f9552,f4927]) ).
fof(f9554,plain,
( m1_subset_1(sK70(sK6,sK7),sF138)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| m1_filter_0(sK7,sK6)
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| ~ spl142_9
| ~ spl142_32
| spl142_41 ),
inference(forward_demodulation,[],[f9553,f4522]) ).
fof(f9555,plain,
( m1_subset_1(sK70(sK6,sK7),sF134)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| m1_filter_0(sK7,sK6)
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| ~ spl142_9
| ~ spl142_32
| spl142_41 ),
inference(forward_demodulation,[],[f9554,f4927]) ).
fof(f9557,definition,
( spl142_352
<=> m1_subset_1(sK70(sK6,sK7),sF134) ),
introduced(definition,[new_symbols(definition,[spl142_352])],[avatar_definition]) ).
fof(f9560,plain,
( ~ spl142_5
| spl142_10
| spl142_19
| ~ spl142_316
| spl142_352
| ~ spl142_9
| ~ spl142_32
| spl142_41 ),
inference(avatar_split_clause,[],[f9555,f5204,f4925,f4634,f9557,f9318,f4715,f4638,f4574]) ).
fof(f10061,plain,
( ! [X0] :
( ~ r2_hidden(sK70(X0,sK7),sK7)
| ~ r2_hidden(sK69(X0,sK7),sK7)
| ~ r2_hidden(k4_lattices(X0,sK69(X0,sK7),sK70(X0,sK7)),sK7)
| m1_filter_0(sK7,X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| spl142_41 ),
inference(resolution,[],[f4063,f5206]) ).
fof(f10064,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(sK69(X0,sK7),sK7)
| ~ r2_hidden(k4_lattices(X0,sK69(X0,sK7),sK70(X0,sK7)),sK7)
| m1_filter_0(sK7,X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(k4_lattices(X1,sK70(X0,sK7),X2),sK7)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(sK70(X0,sK7),u1_struct_0(X1))
| ~ m1_filter_0(sK7,X1)
| v1_xboole_0(sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| spl142_41 ),
inference(resolution,[],[f10061,f4058]) ).
fof(f10072,definition,
( spl142_440
<=> ! [X2,X0,X1] :
( ~ r2_hidden(sK69(X0,sK7),sK7)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_filter_0(sK7,X1)
| ~ m1_subset_1(sK70(X0,sK7),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(k4_lattices(X1,sK70(X0,sK7),X2),sK7)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| m1_filter_0(sK7,X0)
| ~ r2_hidden(k4_lattices(X0,sK69(X0,sK7),sK70(X0,sK7)),sK7) ) ),
introduced(definition,[new_symbols(definition,[spl142_440])],[avatar_definition]) ).
fof(f10073,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(sK69(X0,sK7),sK7)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_filter_0(sK7,X1)
| ~ m1_subset_1(sK70(X0,sK7),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(k4_lattices(X1,sK70(X0,sK7),X2),sK7)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| m1_filter_0(sK7,X0)
| ~ r2_hidden(k4_lattices(X0,sK69(X0,sK7),sK70(X0,sK7)),sK7) )
| ~ spl142_440 ),
inference(avatar_component_clause,[],[f10072]) ).
fof(f10074,plain,
( spl142_41
| spl142_440
| spl142_41 ),
inference(avatar_split_clause,[],[f10064,f5204,f10072,f5204]) ).
fof(f10523,plain,
( ! [X2,X0,X1] :
( r2_hidden(k4_lattices(X2,X0,X1),sK7)
| ~ r2_hidden(X1,sK7)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ m1_filter_0(sK7,X2)
| ~ r2_hidden(X0,sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
| spl142_41 ),
inference(resolution,[],[f4050,f5206]) ).
fof(f12646,plain,
( ! [X0,X1] :
( v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k4_lattices(sK6,X0,X1)
| ~ l1_lattices(sK6)
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK6)) )
| ~ spl142_94 ),
inference(resolution,[],[f4141,f6134]) ).
fof(f12650,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF138)
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k4_lattices(sK6,X0,X1)
| ~ l1_lattices(sK6)
| ~ m1_subset_1(X1,u1_struct_0(sK6)) )
| ~ spl142_94 ),
inference(forward_demodulation,[],[f12646,f4522]) ).
fof(f12655,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF134)
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k4_lattices(sK6,X0,X1)
| ~ l1_lattices(sK6)
| ~ m1_subset_1(X1,u1_struct_0(sK6)) )
| ~ spl142_32
| ~ spl142_94 ),
inference(forward_demodulation,[],[f12650,f4927]) ).
fof(f12663,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF138)
| ~ m1_subset_1(X0,sF134)
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k4_lattices(sK6,X0,X1)
| ~ l1_lattices(sK6) )
| ~ spl142_32
| ~ spl142_94 ),
inference(forward_demodulation,[],[f12655,f4522]) ).
fof(f12673,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134)
| v3_struct_0(sK6)
| k4_lattices(sK6,X1,X0) = k4_lattices(sK6,X0,X1)
| ~ l1_lattices(sK6) )
| ~ spl142_32
| ~ spl142_94 ),
inference(forward_demodulation,[],[f12663,f4927]) ).
fof(f12676,definition,
( spl142_635
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,sF134)
| k4_lattices(sK6,X1,X0) = k4_lattices(sK6,X0,X1)
| ~ m1_subset_1(X0,sF134) ) ),
introduced(definition,[new_symbols(definition,[spl142_635])],[avatar_definition]) ).
fof(f12677,plain,
( ! [X0,X1] :
( k4_lattices(sK6,X1,X0) = k4_lattices(sK6,X0,X1)
| ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134) )
| ~ spl142_635 ),
inference(avatar_component_clause,[],[f12676]) ).
fof(f12678,plain,
( ~ spl142_52
| spl142_10
| spl142_635
| ~ spl142_32
| ~ spl142_94 ),
inference(avatar_split_clause,[],[f12673,f6133,f4925,f12676,f4638,f5333]) ).
fof(f12692,plain,
( ! [X0,X1] :
( k4_lattices(sK5,X1,X0) = k4_lattices(sK6,X0,X1)
| ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(X1,sF134) )
| ~ spl142_179
| ~ spl142_180
| ~ spl142_635 ),
inference(superposition,[],[f7802,f12677]) ).
fof(f12695,plain,
( ! [X0,X1] :
( k4_lattices(sK5,X1,X0) = k4_lattices(sK6,X0,X1)
| ~ m1_subset_1(X1,sF134)
| ~ m1_subset_1(X0,sF134) )
| ~ spl142_179
| ~ spl142_180
| ~ spl142_635 ),
inference(duplicate_literal_removal,[],[f12692]) ).
fof(f18750,definition,
( spl142_996
<=> ! [X1] :
( ~ m1_subset_1(X1,sF134)
| ~ r2_hidden(k4_lattices(sK5,sK70(sK6,sK7),X1),sK7) ) ),
introduced(definition,[new_symbols(definition,[spl142_996])],[avatar_definition]) ).
fof(f18751,plain,
( ! [X1] :
( ~ r2_hidden(k4_lattices(sK5,sK70(sK6,sK7),X1),sK7)
| ~ m1_subset_1(X1,sF134) )
| ~ spl142_996 ),
inference(avatar_component_clause,[],[f18750]) ).
fof(f18753,definition,
( spl142_997
<=> r2_hidden(k4_lattices(sK6,sK69(sK6,sK7),sK70(sK6,sK7)),sK7) ),
introduced(definition,[new_symbols(definition,[spl142_997])],[avatar_definition]) ).
fof(f18754,plain,
( r2_hidden(k4_lattices(sK6,sK69(sK6,sK7),sK70(sK6,sK7)),sK7)
| ~ spl142_997 ),
inference(avatar_component_clause,[],[f18753]) ).
fof(f18755,plain,
( ~ r2_hidden(k4_lattices(sK6,sK69(sK6,sK7),sK70(sK6,sK7)),sK7)
| spl142_997 ),
inference(avatar_component_clause,[],[f18753]) ).
fof(f18783,definition,
( spl142_1002
<=> r2_hidden(k4_lattices(sK5,sK69(sK6,sK7),sK70(sK6,sK7)),sK7) ),
introduced(definition,[new_symbols(definition,[spl142_1002])],[avatar_definition]) ).
fof(f18784,plain,
( r2_hidden(k4_lattices(sK5,sK69(sK6,sK7),sK70(sK6,sK7)),sK7)
| ~ spl142_1002 ),
inference(avatar_component_clause,[],[f18783]) ).
fof(f18785,plain,
( ~ r2_hidden(k4_lattices(sK5,sK69(sK6,sK7),sK70(sK6,sK7)),sK7)
| spl142_1002 ),
inference(avatar_component_clause,[],[f18783]) ).
fof(f18788,definition,
( spl142_1003
<=> r2_hidden(k4_lattices(sK5,sK70(sK6,sK7),sK69(sK6,sK7)),sK7) ),
introduced(definition,[new_symbols(definition,[spl142_1003])],[avatar_definition]) ).
fof(f18789,plain,
( r2_hidden(k4_lattices(sK5,sK70(sK6,sK7),sK69(sK6,sK7)),sK7)
| ~ spl142_1003 ),
inference(avatar_component_clause,[],[f18788]) ).
fof(f18816,definition,
( spl142_1008
<=> r2_hidden(sK70(sK6,sK7),sK7) ),
introduced(definition,[new_symbols(definition,[spl142_1008])],[avatar_definition]) ).
fof(f18818,plain,
( ~ r2_hidden(sK70(sK6,sK7),sK7)
| spl142_1008 ),
inference(avatar_component_clause,[],[f18816]) ).
fof(f18820,definition,
( spl142_1009
<=> r2_hidden(sK69(sK6,sK7),sK7) ),
introduced(definition,[new_symbols(definition,[spl142_1009])],[avatar_definition]) ).
fof(f18821,plain,
( r2_hidden(sK69(sK6,sK7),sK7)
| ~ spl142_1009 ),
inference(avatar_component_clause,[],[f18820]) ).
fof(f18822,plain,
( ~ r2_hidden(sK69(sK6,sK7),sK7)
| spl142_1009 ),
inference(avatar_component_clause,[],[f18820]) ).
fof(f18836,plain,
( ~ m1_subset_1(sK69(sK6,sK7),sF134)
| ~ spl142_996
| ~ spl142_1003 ),
inference(resolution,[],[f18751,f18789]) ).
fof(f18869,plain,
( ~ spl142_320
| ~ spl142_996
| ~ spl142_1003 ),
inference(avatar_split_clause,[],[f18836,f18788,f18750,f9340]) ).
fof(f18918,definition,
( spl142_1020
<=> ! [X0,X1] :
( ~ r2_hidden(k4_lattices(X0,sK69(sK6,sK7),X1),sK7)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(sK7,X0)
| ~ m1_subset_1(sK69(sK6,sK7),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl142_1020])],[avatar_definition]) ).
fof(f18919,plain,
( ! [X0,X1] :
( ~ m1_filter_0(sK7,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,sK69(sK6,sK7),X1),sK7)
| ~ m1_subset_1(sK69(sK6,sK7),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ spl142_1020 ),
inference(avatar_component_clause,[],[f18918]) ).
fof(f18942,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,sK69(sK6,sK7),X1),sK7)
| ~ m1_subset_1(sK69(sK6,sK7),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_filter_2(sK7,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl142_1020 ),
inference(resolution,[],[f18919,f3689]) ).
fof(f18943,plain,
( ! [X0,X1] :
( ~ m1_filter_2(sK7,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,sK69(sK6,sK7),X1),sK7)
| ~ m1_subset_1(sK69(sK6,sK7),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0) )
| ~ spl142_1020 ),
inference(duplicate_literal_removal,[],[f18942]) ).
fof(f18950,definition,
( spl142_1024
<=> ! [X0] :
( ~ m1_subset_1(X0,sF134)
| ~ r2_hidden(k4_lattices(sK5,sK69(sK6,sK7),X0),sK7) ) ),
introduced(definition,[new_symbols(definition,[spl142_1024])],[avatar_definition]) ).
fof(f18951,plain,
( ! [X0] :
( ~ r2_hidden(k4_lattices(sK5,sK69(sK6,sK7),X0),sK7)
| ~ m1_subset_1(X0,sF134) )
| ~ spl142_1024 ),
inference(avatar_component_clause,[],[f18950]) ).
fof(f19240,plain,
( r2_hidden(k4_lattices(sK6,sK69(sK6,sK7),sK70(sK6,sK7)),sK7)
| m1_filter_0(sK7,sK6)
| v1_xboole_0(sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| v3_struct_0(sK6)
| ~ v10_lattices(sK6)
| ~ l3_lattices(sK6)
| spl142_1008 ),
inference(resolution,[],[f18818,f4061]) ).
fof(f19252,definition,
( spl142_1058
<=> ! [X0,X1] :
( ~ r2_hidden(k4_lattices(X0,sK70(sK6,sK7),X1),sK7)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(sK7,X0)
| ~ m1_subset_1(sK70(sK6,sK7),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl142_1058])],[avatar_definition]) ).
fof(f19253,plain,
( ! [X0,X1] :
( ~ m1_filter_0(sK7,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,sK70(sK6,sK7),X1),sK7)
| ~ m1_subset_1(sK70(sK6,sK7),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ spl142_1058 ),
inference(avatar_component_clause,[],[f19252]) ).
fof(f19259,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF138))
| r2_hidden(k4_lattices(sK6,sK69(sK6,sK7),sK70(sK6,sK7)),sK7)
| m1_filter_0(sK7,sK6)
| v1_xboole_0(sK7)
| v3_struct_0(sK6)
| ~ v10_lattices(sK6)
| ~ l3_lattices(sK6)
| spl142_1008 ),
inference(forward_demodulation,[],[f19240,f4522]) ).
fof(f19261,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| r2_hidden(k4_lattices(sK6,sK69(sK6,sK7),sK70(sK6,sK7)),sK7)
| m1_filter_0(sK7,sK6)
| v1_xboole_0(sK7)
| v3_struct_0(sK6)
| ~ v10_lattices(sK6)
| ~ l3_lattices(sK6)
| ~ spl142_32
| spl142_1008 ),
inference(forward_demodulation,[],[f19259,f4927]) ).
fof(f19262,plain,
( ~ spl142_5
| ~ spl142_9
| spl142_10
| spl142_41
| spl142_19
| spl142_997
| ~ spl142_316
| ~ spl142_32
| spl142_1008 ),
inference(avatar_split_clause,[],[f19261,f18816,f4925,f9318,f18753,f4715,f5204,f4638,f4634,f4574]) ).
fof(f19271,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(sK7,X0)
| ~ m1_subset_1(sK70(sK6,sK7),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k4_lattices(X0,sK70(sK6,sK7),X1),sK7)
| ~ l3_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| m1_filter_0(sK7,sK6)
| ~ r2_hidden(k4_lattices(sK6,sK69(sK6,sK7),sK70(sK6,sK7)),sK7) )
| ~ spl142_440
| ~ spl142_1009 ),
inference(resolution,[],[f18821,f10073]) ).
fof(f19274,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF138))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(sK7,X0)
| ~ m1_subset_1(sK70(sK6,sK7),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k4_lattices(X0,sK70(sK6,sK7),X1),sK7)
| ~ l3_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| m1_filter_0(sK7,sK6)
| ~ r2_hidden(k4_lattices(sK6,sK69(sK6,sK7),sK70(sK6,sK7)),sK7) )
| ~ spl142_440
| ~ spl142_1009 ),
inference(forward_demodulation,[],[f19271,f4522]) ).
fof(f19277,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(sK7,X0)
| ~ m1_subset_1(sK70(sK6,sK7),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k4_lattices(X0,sK70(sK6,sK7),X1),sK7)
| ~ l3_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| m1_filter_0(sK7,sK6)
| ~ r2_hidden(k4_lattices(sK6,sK69(sK6,sK7),sK70(sK6,sK7)),sK7) )
| ~ spl142_32
| ~ spl142_440
| ~ spl142_1009 ),
inference(forward_demodulation,[],[f19274,f4927]) ).
fof(f19280,plain,
( ~ spl142_997
| spl142_19
| spl142_10
| ~ spl142_9
| ~ spl142_5
| spl142_1058
| ~ spl142_316
| ~ spl142_32
| ~ spl142_440
| ~ spl142_1009 ),
inference(avatar_split_clause,[],[f19277,f18820,f10072,f4925,f9318,f19252,f4574,f4634,f4638,f4715,f18753]) ).
fof(f19307,plain,
( ~ r2_hidden(k4_lattices(sK5,sK69(sK6,sK7),sK70(sK6,sK7)),sK7)
| ~ m1_subset_1(sK69(sK6,sK7),sF134)
| ~ m1_subset_1(sK70(sK6,sK7),sF134)
| ~ spl142_179
| ~ spl142_180
| spl142_997 ),
inference(superposition,[],[f18755,f7802]) ).
fof(f19308,plain,
( ~ spl142_352
| ~ spl142_320
| ~ spl142_1002
| ~ spl142_179
| ~ spl142_180
| spl142_997 ),
inference(avatar_split_clause,[],[f19307,f18753,f7796,f7777,f18783,f9340,f9557]) ).
fof(f19313,plain,
( ~ r2_hidden(sK70(sK6,sK7),sK7)
| ~ m1_subset_1(sK70(sK6,sK7),u1_struct_0(sK5))
| ~ m1_subset_1(sK69(sK6,sK7),u1_struct_0(sK5))
| ~ m1_filter_0(sK7,sK5)
| ~ r2_hidden(sK69(sK6,sK7),sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK5)))
| v3_struct_0(sK5)
| ~ v10_lattices(sK5)
| ~ l3_lattices(sK5)
| spl142_41
| spl142_1002 ),
inference(resolution,[],[f18785,f10523]) ).
fof(f19334,plain,
( ~ m1_subset_1(sK70(sK6,sK7),sF134)
| ~ r2_hidden(sK70(sK6,sK7),sK7)
| ~ m1_subset_1(sK69(sK6,sK7),u1_struct_0(sK5))
| ~ m1_filter_0(sK7,sK5)
| ~ r2_hidden(sK69(sK6,sK7),sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK5)))
| v3_struct_0(sK5)
| ~ v10_lattices(sK5)
| ~ l3_lattices(sK5)
| spl142_41
| spl142_1002 ),
inference(forward_demodulation,[],[f19313,f4514]) ).
fof(f19336,plain,
( ~ m1_subset_1(sK69(sK6,sK7),sF134)
| ~ m1_subset_1(sK70(sK6,sK7),sF134)
| ~ r2_hidden(sK70(sK6,sK7),sK7)
| ~ m1_filter_0(sK7,sK5)
| ~ r2_hidden(sK69(sK6,sK7),sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK5)))
| v3_struct_0(sK5)
| ~ v10_lattices(sK5)
| ~ l3_lattices(sK5)
| spl142_41
| spl142_1002 ),
inference(forward_demodulation,[],[f19334,f4514]) ).
fof(f19338,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| ~ m1_subset_1(sK69(sK6,sK7),sF134)
| ~ m1_subset_1(sK70(sK6,sK7),sF134)
| ~ r2_hidden(sK70(sK6,sK7),sK7)
| ~ m1_filter_0(sK7,sK5)
| ~ r2_hidden(sK69(sK6,sK7),sK7)
| v3_struct_0(sK5)
| ~ v10_lattices(sK5)
| ~ l3_lattices(sK5)
| spl142_41
| spl142_1002 ),
inference(forward_demodulation,[],[f19336,f4514]) ).
fof(f19340,plain,
( ~ spl142_1
| ~ spl142_12
| spl142_13
| ~ spl142_1009
| ~ spl142_318
| ~ spl142_1008
| ~ spl142_352
| ~ spl142_320
| ~ spl142_316
| spl142_41
| spl142_1002 ),
inference(avatar_split_clause,[],[f19338,f18783,f5204,f9318,f9340,f9557,f18816,f9328,f18820,f4651,f4647,f4549]) ).
fof(f19355,plain,
( r2_hidden(k4_lattices(sK6,sK69(sK6,sK7),sK70(sK6,sK7)),sK7)
| m1_filter_0(sK7,sK6)
| v1_xboole_0(sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| v3_struct_0(sK6)
| ~ v10_lattices(sK6)
| ~ l3_lattices(sK6)
| spl142_1009 ),
inference(resolution,[],[f18822,f4062]) ).
fof(f19358,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_lattices(X0,sK69(sK6,sK7),X1),sK7)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(sK69(sK6,sK7),u1_struct_0(X0))
| ~ m1_filter_0(sK7,X0)
| v1_xboole_0(sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| spl142_1009 ),
inference(resolution,[],[f18822,f4058]) ).
fof(f19363,plain,
( spl142_41
| spl142_1020
| spl142_1009 ),
inference(avatar_split_clause,[],[f19358,f18820,f18918,f5204]) ).
fof(f19365,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF138))
| r2_hidden(k4_lattices(sK6,sK69(sK6,sK7),sK70(sK6,sK7)),sK7)
| m1_filter_0(sK7,sK6)
| v1_xboole_0(sK7)
| v3_struct_0(sK6)
| ~ v10_lattices(sK6)
| ~ l3_lattices(sK6)
| spl142_1009 ),
inference(forward_demodulation,[],[f19355,f4522]) ).
fof(f19366,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| r2_hidden(k4_lattices(sK6,sK69(sK6,sK7),sK70(sK6,sK7)),sK7)
| m1_filter_0(sK7,sK6)
| v1_xboole_0(sK7)
| v3_struct_0(sK6)
| ~ v10_lattices(sK6)
| ~ l3_lattices(sK6)
| ~ spl142_32
| spl142_1009 ),
inference(forward_demodulation,[],[f19365,f4927]) ).
fof(f19367,plain,
( ~ spl142_5
| ~ spl142_9
| spl142_10
| spl142_41
| spl142_19
| spl142_997
| ~ spl142_316
| ~ spl142_32
| spl142_1009 ),
inference(avatar_split_clause,[],[f19366,f18820,f4925,f9318,f18753,f4715,f5204,f4638,f4634,f4574]) ).
fof(f19382,plain,
( r2_hidden(k4_lattices(sK5,sK70(sK6,sK7),sK69(sK6,sK7)),sK7)
| ~ m1_subset_1(sK70(sK6,sK7),sF134)
| ~ m1_subset_1(sK69(sK6,sK7),sF134)
| ~ spl142_179
| ~ spl142_180
| ~ spl142_635
| ~ spl142_997 ),
inference(superposition,[],[f18754,f12695]) ).
fof(f19383,plain,
( r2_hidden(k4_lattices(sK5,sK69(sK6,sK7),sK70(sK6,sK7)),sK7)
| ~ m1_subset_1(sK69(sK6,sK7),sF134)
| ~ m1_subset_1(sK70(sK6,sK7),sF134)
| ~ spl142_179
| ~ spl142_180
| ~ spl142_997 ),
inference(superposition,[],[f18754,f7802]) ).
fof(f19384,plain,
( ~ spl142_352
| ~ spl142_320
| spl142_1002
| ~ spl142_179
| ~ spl142_180
| ~ spl142_997 ),
inference(avatar_split_clause,[],[f19383,f18753,f7796,f7777,f18783,f9340,f9557]) ).
fof(f19385,plain,
( ~ spl142_320
| ~ spl142_352
| spl142_1003
| ~ spl142_179
| ~ spl142_180
| ~ spl142_635
| ~ spl142_997 ),
inference(avatar_split_clause,[],[f19382,f18753,f12676,f7796,f7777,f18788,f9557,f9340]) ).
fof(f19399,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_lattices(X0,sK70(sK6,sK7),X1),sK7)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(sK70(sK6,sK7),u1_struct_0(X0))
| ~ m1_filter_0(sK7,X0)
| v1_xboole_0(sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| spl142_1008 ),
inference(resolution,[],[f18818,f4058]) ).
fof(f19403,plain,
( spl142_41
| spl142_1058
| spl142_1008 ),
inference(avatar_split_clause,[],[f19399,f18816,f19252,f5204]) ).
fof(f19451,plain,
( ! [X0] :
( ~ v10_lattices(sK5)
| v3_struct_0(sK5)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ r2_hidden(k4_lattices(sK5,sK69(sK6,sK7),X0),sK7)
| ~ m1_subset_1(sK69(sK6,sK7),u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ l3_lattices(sK5) )
| ~ spl142_323
| ~ spl142_1020 ),
inference(resolution,[],[f18943,f9368]) ).
fof(f19454,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| ~ v10_lattices(sK5)
| v3_struct_0(sK5)
| ~ r2_hidden(k4_lattices(sK5,sK69(sK6,sK7),X0),sK7)
| ~ m1_subset_1(sK69(sK6,sK7),u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ l3_lattices(sK5) )
| ~ spl142_323
| ~ spl142_1020 ),
inference(forward_demodulation,[],[f19451,f4514]) ).
fof(f19455,plain,
( ! [X0] :
( ~ m1_subset_1(sK69(sK6,sK7),sF134)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| ~ v10_lattices(sK5)
| v3_struct_0(sK5)
| ~ r2_hidden(k4_lattices(sK5,sK69(sK6,sK7),X0),sK7)
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ l3_lattices(sK5) )
| ~ spl142_323
| ~ spl142_1020 ),
inference(forward_demodulation,[],[f19454,f4514]) ).
fof(f19456,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(sK69(sK6,sK7),sF134)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| ~ v10_lattices(sK5)
| v3_struct_0(sK5)
| ~ r2_hidden(k4_lattices(sK5,sK69(sK6,sK7),X0),sK7)
| ~ l3_lattices(sK5) )
| ~ spl142_323
| ~ spl142_1020 ),
inference(forward_demodulation,[],[f19455,f4514]) ).
fof(f19457,plain,
( ~ spl142_1
| spl142_13
| ~ spl142_12
| ~ spl142_316
| ~ spl142_320
| spl142_1024
| ~ spl142_323
| ~ spl142_1020 ),
inference(avatar_split_clause,[],[f19456,f18918,f9367,f18950,f9340,f9318,f4647,f4651,f4549]) ).
fof(f19465,plain,
( ! [X0] :
( ~ l3_lattices(sK5)
| ~ v10_lattices(sK5)
| v3_struct_0(sK5)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ r2_hidden(k4_lattices(sK5,sK70(sK6,sK7),X0),sK7)
| ~ m1_subset_1(sK70(sK6,sK7),u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5)) )
| ~ spl142_318
| ~ spl142_1058 ),
inference(resolution,[],[f19253,f9330]) ).
fof(f19472,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| ~ l3_lattices(sK5)
| ~ v10_lattices(sK5)
| v3_struct_0(sK5)
| ~ r2_hidden(k4_lattices(sK5,sK70(sK6,sK7),X0),sK7)
| ~ m1_subset_1(sK70(sK6,sK7),u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5)) )
| ~ spl142_318
| ~ spl142_1058 ),
inference(forward_demodulation,[],[f19465,f4514]) ).
fof(f19475,plain,
( ! [X0] :
( ~ m1_subset_1(sK70(sK6,sK7),sF134)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| ~ l3_lattices(sK5)
| ~ v10_lattices(sK5)
| v3_struct_0(sK5)
| ~ r2_hidden(k4_lattices(sK5,sK70(sK6,sK7),X0),sK7)
| ~ m1_subset_1(X0,u1_struct_0(sK5)) )
| ~ spl142_318
| ~ spl142_1058 ),
inference(forward_demodulation,[],[f19472,f4514]) ).
fof(f19477,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF134)
| ~ m1_subset_1(sK70(sK6,sK7),sF134)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sF134))
| ~ l3_lattices(sK5)
| ~ v10_lattices(sK5)
| v3_struct_0(sK5)
| ~ r2_hidden(k4_lattices(sK5,sK70(sK6,sK7),X0),sK7) )
| ~ spl142_318
| ~ spl142_1058 ),
inference(forward_demodulation,[],[f19475,f4514]) ).
fof(f19482,plain,
( spl142_13
| ~ spl142_12
| ~ spl142_1
| ~ spl142_316
| ~ spl142_352
| spl142_996
| ~ spl142_318
| ~ spl142_1058 ),
inference(avatar_split_clause,[],[f19477,f19252,f9328,f18750,f9557,f9318,f4549,f4647,f4651]) ).
fof(f19560,plain,
( ~ m1_subset_1(sK70(sK6,sK7),sF134)
| ~ spl142_1002
| ~ spl142_1024 ),
inference(resolution,[],[f18951,f18784]) ).
fof(f19586,plain,
( ~ spl142_352
| ~ spl142_1002
| ~ spl142_1024 ),
inference(avatar_split_clause,[],[f19560,f18950,f18783,f9557]) ).
cnf(s7,plain,
spl142_1,
inference(sat_conversion,[],[f4597]) ).
cnf(s10,plain,
spl142_5,
inference(sat_conversion,[],[f4603]) ).
cnf(s25,plain,
( ~ spl142_5
| ~ spl142_9
| spl142_10
| ~ spl142_19 ),
inference(sat_conversion,[],[f4718]) ).
cnf(s27,plain,
spl142_12,
inference(sat_conversion,[],[f4721]) ).
cnf(s29,plain,
~ spl142_13,
inference(sat_conversion,[],[f4724]) ).
cnf(s31,plain,
spl142_9,
inference(sat_conversion,[],[f4728]) ).
cnf(s45,plain,
( ~ spl142_5
| spl142_27 ),
inference(sat_conversion,[],[f4858]) ).
cnf(s48,plain,
( ~ spl142_1
| ~ spl142_27
| spl142_28 ),
inference(sat_conversion,[],[f4887]) ).
cnf(s49,plain,
( ~ spl142_5
| spl142_10
| ~ spl142_28
| spl142_29 ),
inference(sat_conversion,[],[f4900]) ).
cnf(s53,plain,
~ spl142_10,
inference(sat_conversion,[],[f4913]) ).
cnf(s55,plain,
( ~ spl142_1
| spl142_13
| ~ spl142_29
| spl142_32 ),
inference(sat_conversion,[],[f4929]) ).
cnf(s80,plain,
( ~ spl142_1
| ~ spl142_12
| spl142_13
| ~ spl142_41 ),
inference(sat_conversion,[],[f5207]) ).
cnf(s94,plain,
( ~ spl142_5
| spl142_52 ),
inference(sat_conversion,[],[f5342]) ).
cnf(s225,plain,
( ~ spl142_1
| ~ spl142_12
| spl142_13
| spl142_106 ),
inference(sat_conversion,[],[f6321]) ).
cnf(s373,plain,
( ~ spl142_1
| ~ spl142_12
| spl142_13
| ~ spl142_29
| ~ spl142_32
| spl142_179 ),
inference(sat_conversion,[],[f7779]) ).
cnf(s376,plain,
( ~ spl142_5
| ~ spl142_9
| spl142_10
| ~ spl142_28
| ~ spl142_29
| ~ spl142_32
| spl142_180 ),
inference(sat_conversion,[],[f7798]) ).
cnf(s456,plain,
( ~ spl142_5
| ~ spl142_9
| spl142_10
| spl142_94 ),
inference(sat_conversion,[],[f8508]) ).
cnf(s546,plain,
( ~ spl142_5
| ~ spl142_9
| spl142_10
| spl142_19
| ~ spl142_32
| spl142_41
| ~ spl142_316
| spl142_320 ),
inference(sat_conversion,[],[f9343]) ).
cnf(s550,plain,
( ~ spl142_106
| spl142_316
| ~ spl142_318 ),
inference(sat_conversion,[],[f9364]) ).
cnf(s551,plain,
( ~ spl142_1
| ~ spl142_12
| spl142_13
| spl142_318
| ~ spl142_323 ),
inference(sat_conversion,[],[f9370]) ).
cnf(s553,plain,
spl142_323,
inference(sat_conversion,[],[f9374]) ).
cnf(s581,plain,
( ~ spl142_5
| ~ spl142_9
| spl142_10
| spl142_19
| ~ spl142_32
| spl142_41
| ~ spl142_316
| spl142_352 ),
inference(sat_conversion,[],[f9560]) ).
cnf(s661,plain,
( spl142_41
| spl142_41
| spl142_440 ),
inference(sat_conversion,[],[f10074]) ).
cnf(s662,plain,
( spl142_41
| spl142_440 ),
inference(rat,[],[s661]) ).
cnf(s939,plain,
( spl142_10
| ~ spl142_32
| ~ spl142_52
| ~ spl142_94
| spl142_635 ),
inference(sat_conversion,[],[f12678]) ).
cnf(s1484,plain,
( ~ spl142_320
| ~ spl142_996
| ~ spl142_1003 ),
inference(sat_conversion,[],[f18869]) ).
cnf(s1536,plain,
( ~ spl142_5
| ~ spl142_9
| spl142_10
| spl142_19
| ~ spl142_32
| spl142_41
| ~ spl142_316
| spl142_997
| spl142_1008 ),
inference(sat_conversion,[],[f19262]) ).
cnf(s1538,plain,
( ~ spl142_5
| ~ spl142_9
| spl142_10
| spl142_19
| ~ spl142_32
| ~ spl142_316
| ~ spl142_440
| ~ spl142_997
| ~ spl142_1009
| spl142_1058 ),
inference(sat_conversion,[],[f19280]) ).
cnf(s1543,plain,
( ~ spl142_179
| ~ spl142_180
| ~ spl142_320
| ~ spl142_352
| spl142_997
| ~ spl142_1002 ),
inference(sat_conversion,[],[f19308]) ).
cnf(s1552,plain,
( ~ spl142_1
| ~ spl142_12
| spl142_13
| spl142_41
| ~ spl142_316
| ~ spl142_318
| ~ spl142_320
| ~ spl142_352
| spl142_1002
| ~ spl142_1008
| ~ spl142_1009 ),
inference(sat_conversion,[],[f19340]) ).
cnf(s1566,plain,
( spl142_41
| spl142_1009
| spl142_1020 ),
inference(sat_conversion,[],[f19363]) ).
cnf(s1568,plain,
( ~ spl142_5
| ~ spl142_9
| spl142_10
| spl142_19
| ~ spl142_32
| spl142_41
| ~ spl142_316
| spl142_997
| spl142_1009 ),
inference(sat_conversion,[],[f19367]) ).
cnf(s1571,plain,
( ~ spl142_179
| ~ spl142_180
| ~ spl142_320
| ~ spl142_352
| ~ spl142_997
| spl142_1002 ),
inference(sat_conversion,[],[f19384]) ).
cnf(s1572,plain,
( ~ spl142_179
| ~ spl142_180
| ~ spl142_320
| ~ spl142_352
| ~ spl142_635
| ~ spl142_997
| spl142_1003 ),
inference(sat_conversion,[],[f19385]) ).
cnf(s1577,plain,
( spl142_41
| spl142_1008
| spl142_1058 ),
inference(sat_conversion,[],[f19403]) ).
cnf(s1586,plain,
( ~ spl142_1
| ~ spl142_12
| spl142_13
| ~ spl142_316
| ~ spl142_320
| ~ spl142_323
| ~ spl142_1020
| spl142_1024 ),
inference(sat_conversion,[],[f19457]) ).
cnf(s1589,plain,
( ~ spl142_1
| ~ spl142_12
| spl142_13
| ~ spl142_316
| ~ spl142_318
| ~ spl142_352
| spl142_996
| ~ spl142_1058 ),
inference(sat_conversion,[],[f19482]) ).
cnf(s1606,plain,
( ~ spl142_352
| ~ spl142_1002
| ~ spl142_1024 ),
inference(sat_conversion,[],[f19586]) ).
cnf(s1613,plain,
( ~ spl142_1
| ~ spl142_12
| spl142_13
| spl142_318 ),
inference(rat,[],[s551,s553]) ).
cnf(s1616,plain,
( ~ spl142_5
| ~ spl142_28
| spl142_29 ),
inference(rat,[],[s49,s53]) ).
cnf(s1617,plain,
( ~ spl142_5
| ~ spl142_19 ),
inference(rat,[],[s25,s53,s31]) ).
cnf(s1628,plain,
spl142_94,
inference(rat,[],[s456,s31,s53,s10]) ).
cnf(s1631,plain,
spl142_52,
inference(rat,[],[s94,s10]) ).
cnf(s1633,plain,
spl142_27,
inference(rat,[],[s45,s10]) ).
cnf(s1634,plain,
~ spl142_19,
inference(rat,[],[s1617,s10]) ).
cnf(s1650,plain,
spl142_318,
inference(rat,[],[s1613,s27,s29,s7]) ).
cnf(s1665,plain,
spl142_106,
inference(rat,[],[s225,s27,s29,s7]) ).
cnf(s1674,plain,
~ spl142_41,
inference(rat,[],[s80,s27,s29,s7]) ).
cnf(s1676,plain,
spl142_28,
inference(rat,[],[s48,s1633,s7]) ).
cnf(s1689,plain,
spl142_316,
inference(rat,[],[s550,s1650,s1665]) ).
cnf(s1718,plain,
spl142_440,
inference(rat,[],[s662,s1674]) ).
cnf(s1727,plain,
spl142_29,
inference(rat,[],[s1616,s10,s1676]) ).
cnf(s1807,plain,
spl142_32,
inference(rat,[],[s55,s7,s29,s1727]) ).
cnf(s1884,plain,
spl142_635,
inference(rat,[],[s939,s1631,s1628,s53,s1807]) ).
cnf(s1919,plain,
spl142_352,
inference(rat,[],[s581,s1674,s1689,s1634,s10,s31,s53,s1807]) ).
cnf(s1920,plain,
spl142_320,
inference(rat,[],[s546,s1674,s1689,s1634,s10,s31,s53,s1807]) ).
cnf(s1923,plain,
spl142_179,
inference(rat,[],[s373,s1727,s7,s27,s29,s1807]) ).
cnf(s1954,plain,
spl142_180,
inference(rat,[],[s376,s1727,s1676,s10,s31,s53,s1807]) ).
cnf(s2294,plain,
( spl142_997
| ~ spl142_1008 ),
inference(rat,[],[s1552,s1543,s1568,s29,s27,s7,s1650,s1674,s1689,s1919,s1920,s1923,s1954,s53,s31,s10,s1634,s1807]) ).
cnf(s2295,plain,
spl142_1058,
inference(rat,[],[s1586,s1566,s1606,s1538,s1571,s2294,s1577,s29,s27,s7,s553,s1689,s1920,s1674,s1919,s53,s31,s10,s1634,s1718,s1807,s1923,s1954]) ).
cnf(s2296,plain,
spl142_996,
inference(rat,[],[s1589,s1919,s1689,s1650,s7,s27,s29,s2295]) ).
cnf(s2297,plain,
~ spl142_1003,
inference(rat,[],[s1484,s1920,s2296]) ).
cnf(s2302,plain,
~ spl142_997,
inference(rat,[],[s1572,s1954,s1923,s1884,s1919,s1920,s2297]) ).
cnf(s2307,plain,
spl142_1008,
inference(rat,[],[s1536,s1807,s1674,s1689,s1634,s10,s31,s53,s2302]) ).
cnf(s2310,plain,
$false,
inference(rat,[],[s2294,s2307,s2302]) ).
fof(f19587,plain,
$false,
inference(avatar_sat_refutation,[],[s2310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT298+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:21:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.97/2.62 % (1265760)Detected formulas, will run a generic FOF schedule.
% 11.97/2.62 % (1265768)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3119282973:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 11.97/2.62 % (1265768)Refutation not found, incomplete strategy
% 11.97/2.62 % (1265768)------------------------------
% 11.97/2.62 % (1265768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.62 % (1265768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.62 % (1265768)CaDiCaL version: 2.1.3
% 11.97/2.62 % (1265768)Termination reason: Refutation not found, incomplete strategy
% 11.97/2.62 % (1265768)Time elapsed: 0.008 s
% 11.97/2.62 % (1265768)Peak memory usage: 91 MB
% 11.97/2.62 % (1265768)Instructions burned: 14 (million)
% 11.97/2.62 % (1265766)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=3807433277:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 11.97/2.62 % (1265767)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=1495753704:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 11.97/2.62 % (1265765)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=1464466030:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 11.97/2.62 % (1265771)dis-21_1_sil=8000:lcm=predicate:random_seed=3949347813:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 11.97/2.62 % (1265770)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3874576739:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 11.97/2.62 % (1265769)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2193188523:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 11.97/2.62 % (1265769)Instruction limit reached!
% 11.97/2.62 % (1265769)------------------------------
% 11.97/2.62 % (1265769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.62 % (1265769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.62 % (1265769)CaDiCaL version: 2.1.3
% 11.97/2.62 % (1265769)Termination reason: Instruction limit
% 11.97/2.62 % (1265769)Termination phase: Saturation
% 11.97/2.62 % (1265769)Time elapsed: 0.076 s
% 11.97/2.62 % (1265769)Peak memory usage: 91 MB
% 11.97/2.62 % (1265769)Instructions burned: 119 (million)
% 11.97/2.62 % (1265771)Instruction limit reached!
% 11.97/2.62 % (1265771)------------------------------
% 11.97/2.62 % (1265771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.62 % (1265771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.62 % (1265771)CaDiCaL version: 2.1.3
% 11.97/2.62 % (1265771)Termination reason: Instruction limit
% 11.97/2.62 % (1265771)Termination phase: Function definition elimination
% 11.97/2.62 % (1265771)Time elapsed: 0.078 s
% 11.97/2.62 % (1265771)Peak memory usage: 93 MB
% 11.97/2.62 % (1265771)Instructions burned: 129 (million)
% 11.97/2.62 % (1265770)Instruction limit reached!
% 11.97/2.62 % (1265770)------------------------------
% 11.97/2.62 % (1265770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.62 % (1265770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.62 % (1265770)CaDiCaL version: 2.1.3
% 11.97/2.62 % (1265770)Termination reason: Instruction limit
% 11.97/2.62 % (1265770)Termination phase: Property scanning
% 11.97/2.62 % (1265770)Time elapsed: 0.085 s
% 11.97/2.62 % (1265770)Peak memory usage: 93 MB
% 11.97/2.62 % (1265770)Instructions burned: 141 (million)
% 11.97/2.62 % (1265768)------------------------------
% 11.97/2.62 % (1265768)------------------------------
% 11.97/2.62 % (1265782)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=4140938479:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.97/2.62 % (1265780)lrs+10_1_sil=32000:urr=on:br=off:random_seed=350790421:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.97/2.62 % (1265779)lrs+10_1_sil=8000:sp=occurrence:random_seed=2071792773:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 11.97/2.62 % (1265780)Refutation not found, incomplete strategy
% 11.97/2.62 % (1265780)------------------------------
% 18.70/3.66 % (1265780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.70/3.66 % (1265780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.70/3.66 % (1265780)CaDiCaL version: 2.1.3
% 18.70/3.66 % (1265780)Termination reason: Refutation not found, incomplete strategy
% 18.70/3.66 % (1265780)Time elapsed: 0.023 s
% 18.70/3.66 % (1265780)Peak memory usage: 92 MB
% 18.70/3.66 % (1265780)Instructions burned: 41 (million)
% 18.70/3.66 % (1265781)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3304965570:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 18.70/3.66 % (1265781)Refutation not found, incomplete strategy
% 18.70/3.66 % (1265781)------------------------------
% 18.70/3.66 % (1265781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.70/3.66 % (1265781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.70/3.66 % (1265781)CaDiCaL version: 2.1.3
% 18.70/3.66 % (1265781)Termination reason: Refutation not found, incomplete strategy
% 18.70/3.66 % (1265781)Time elapsed: 0.022 s
% 18.70/3.66 % (1265781)Peak memory usage: 92 MB
% 18.70/3.66 % (1265781)Instructions burned: 28 (million)
% 18.70/3.66 % (1265782)Instruction limit reached!
% 18.70/3.66 % (1265782)------------------------------
% 18.70/3.66 % (1265782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.70/3.66 % (1265782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.70/3.66 % (1265782)CaDiCaL version: 2.1.3
% 18.70/3.66 % (1265782)Termination reason: Instruction limit
% 18.70/3.66 % (1265782)Termination phase: Saturation
% 18.70/3.66 % (1265782)Time elapsed: 0.075 s
% 18.70/3.66 % (1265782)Peak memory usage: 98 MB
% 18.70/3.66 % (1265782)Instructions burned: 249 (million)
% 18.70/3.66 % (1265779)Instruction limit reached!
% 18.70/3.66 % (1265779)------------------------------
% 18.70/3.66 % (1265779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.70/3.66 % (1265779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.70/3.66 % (1265779)CaDiCaL version: 2.1.3
% 18.70/3.66 % (1265779)Termination reason: Instruction limit
% 18.70/3.66 % (1265779)Termination phase: Saturation
% 18.70/3.66 % (1265779)Time elapsed: 0.180 s
% 18.70/3.66 % (1265779)Peak memory usage: 95 MB
% 18.70/3.66 % (1265779)Instructions burned: 285 (million)
% 18.70/3.66 % (1265787)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=536902439:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 18.70/3.66 % (1265780)------------------------------
% 18.70/3.66 % (1265780)------------------------------
% 18.70/3.66 % (1265787)Instruction limit reached!
% 18.70/3.66 % (1265787)------------------------------
% 18.70/3.66 % (1265787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.70/3.66 % (1265787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.70/3.66 % (1265787)CaDiCaL version: 2.1.3
% 18.70/3.66 % (1265787)Termination reason: Instruction limit
% 18.70/3.66 % (1265787)Termination phase: Saturation
% 18.70/3.66 % (1265787)Time elapsed: 0.087 s
% 18.70/3.66 % (1265787)Peak memory usage: 94 MB
% 18.70/3.66 % (1265787)Instructions burned: 296 (million)
% 18.70/3.66 % (1265781)------------------------------
% 18.70/3.66 % (1265781)------------------------------
% 18.70/3.66 % (1265788)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3771990170:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 18.70/3.66 % (1265791)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=235912449:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 18.70/3.66 % (1265790)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4161909010:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 18.70/3.66 % (1265791)Instruction limit reached!
% 18.70/3.66 % (1265791)------------------------------
% 18.70/3.66 % (1265791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.70/3.66 % (1265791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.70/3.66 % (1265791)CaDiCaL version: 2.1.3
% 18.70/3.66 % (1265791)Termination reason: Instruction limit
% 18.70/3.66 % (1265791)Termination phase: Property scanning
% 18.70/3.66 % (1265791)Time elapsed: 0.042 s
% 18.70/3.66 % (1265791)Peak memory usage: 94 MB
% 18.70/3.66 % (1265791)Instructions burned: 127 (million)
% 18.70/3.66 % (1265790)Instruction limit reached!
% 18.70/3.66 % (1265790)------------------------------
% 18.70/3.66 % (1265790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.27/5.68 % (1265790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.27/5.68 % (1265790)CaDiCaL version: 2.1.3
% 33.27/5.68 % (1265790)Termination reason: Instruction limit
% 33.27/5.68 % (1265790)Termination phase: Saturation
% 33.27/5.68 % (1265790)Time elapsed: 0.065 s
% 33.27/5.68 % (1265790)Peak memory usage: 93 MB
% 33.27/5.68 % (1265790)Instructions burned: 114 (million)
% 33.27/5.68 % (1265792)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1147231516:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 33.27/5.68 % (1265792)Instruction limit reached!
% 33.27/5.68 % (1265792)------------------------------
% 33.27/5.68 % (1265792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.27/5.68 % (1265792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.27/5.68 % (1265792)CaDiCaL version: 2.1.3
% 33.27/5.68 % (1265792)Termination reason: Instruction limit
% 33.27/5.68 % (1265792)Termination phase: Property scanning
% 33.27/5.68 % (1265792)Time elapsed: 0.059 s
% 33.27/5.68 % (1265792)Peak memory usage: 90 MB
% 33.27/5.68 % (1265792)Instructions burned: 115 (million)
% 33.27/5.68 % (1265796)lrs+10_1_sil=8000:sp=occurrence:random_seed=2394864327:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 33.27/5.68 % (1265798)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1464839918:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 33.27/5.68 % (1265799)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=609792738:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 33.27/5.68 % (1265798)Instruction limit reached!
% 33.27/5.68 % (1265798)------------------------------
% 33.27/5.68 % (1265798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.27/5.68 % (1265798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.27/5.68 % (1265798)CaDiCaL version: 2.1.3
% 33.27/5.68 % (1265798)Termination reason: Instruction limit
% 33.27/5.68 % (1265798)Termination phase: Saturation
% 33.27/5.68 % (1265798)Time elapsed: 0.240 s
% 33.27/5.68 % (1265798)Peak memory usage: 95 MB
% 33.27/5.68 % (1265798)Instructions burned: 438 (million)
% 33.27/5.68 % (1265796)Instruction limit reached!
% 33.27/5.68 % (1265796)------------------------------
% 33.27/5.68 % (1265796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.27/5.68 % (1265796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.27/5.68 % (1265796)CaDiCaL version: 2.1.3
% 33.27/5.68 % (1265796)Termination reason: Instruction limit
% 33.27/5.68 % (1265796)Termination phase: Saturation
% 33.27/5.68 % (1265796)Time elapsed: 0.322 s
% 33.27/5.68 % (1265796)Peak memory usage: 104 MB
% 33.27/5.68 % (1265796)Instructions burned: 908 (million)
% 33.27/5.68 % (1265804)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2510646873:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 33.27/5.68 % (1265803)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1740120028:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 33.27/5.68 % (1265803)Instruction limit reached!
% 33.27/5.68 % (1265803)------------------------------
% 33.27/5.68 % (1265803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.27/5.68 % (1265803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.27/5.68 % (1265803)CaDiCaL version: 2.1.3
% 33.27/5.68 % (1265803)Termination reason: Instruction limit
% 33.27/5.68 % (1265803)Termination phase: Saturation
% 33.27/5.68 % (1265803)Time elapsed: 0.083 s
% 33.27/5.68 % (1265803)Peak memory usage: 94 MB
% 33.27/5.68 % (1265803)Instructions burned: 135 (million)
% 33.27/5.68 % (1265804)Instruction limit reached!
% 33.27/5.68 % (1265804)------------------------------
% 33.27/5.68 % (1265804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.27/5.68 % (1265804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.27/5.68 % (1265804)CaDiCaL version: 2.1.3
% 33.27/5.68 % (1265804)Termination reason: Instruction limit
% 33.27/5.68 % (1265804)Termination phase: Saturation
% 33.27/5.68 % (1265804)Time elapsed: 0.154 s
% 33.27/5.68 % (1265804)Peak memory usage: 100 MB
% 33.27/5.68 % (1265804)Instructions burned: 597 (million)
% 33.27/5.68 % (1265808)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=4045563414:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 67.49/10.48 % (1265807)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3224956275:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 67.49/10.48 % (1265808)Instruction limit reached!
% 67.49/10.48 % (1265808)------------------------------
% 67.49/10.48 % (1265808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.49/10.48 % (1265808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.49/10.48 % (1265808)CaDiCaL version: 2.1.3
% 67.49/10.48 % (1265808)Termination reason: Instruction limit
% 67.49/10.48 % (1265808)Termination phase: Saturation
% 67.49/10.48 % (1265808)Time elapsed: 0.041 s
% 67.49/10.48 % (1265808)Peak memory usage: 92 MB
% 67.49/10.48 % (1265808)Instructions burned: 128 (million)
% 67.49/10.48 % (1265811)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3203188007:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 67.49/10.48 % (1265811)Instruction limit reached!
% 67.49/10.48 % (1265811)------------------------------
% 67.49/10.48 % (1265811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.49/10.48 % (1265811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.49/10.48 % (1265811)CaDiCaL version: 2.1.3
% 67.49/10.48 % (1265811)Termination reason: Instruction limit
% 67.49/10.48 % (1265811)Termination phase: Preprocessing 3
% 67.49/10.48 % (1265811)Time elapsed: 0.041 s
% 67.49/10.48 % (1265811)Peak memory usage: 92 MB
% 67.49/10.48 % (1265811)Instructions burned: 135 (million)
% 67.49/10.48 % (1265813)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=222630911:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 67.49/10.48 % (1265813)Refutation not found, incomplete strategy
% 67.49/10.48 % (1265813)------------------------------
% 67.49/10.48 % (1265813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.49/10.48 % (1265813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.49/10.48 % (1265813)CaDiCaL version: 2.1.3
% 67.49/10.48 % (1265813)Termination reason: Refutation not found, incomplete strategy
% 67.49/10.48 % (1265813)Time elapsed: 0.006 s
% 67.49/10.48 % (1265813)Peak memory usage: 91 MB
% 67.49/10.48 % (1265813)Instructions burned: 12 (million)
% 67.49/10.48 % (1265788)Instruction limit reached!
% 67.49/10.48 % (1265788)------------------------------
% 67.49/10.48 % (1265788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.49/10.48 % (1265788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.49/10.48 % (1265788)CaDiCaL version: 2.1.3
% 67.49/10.48 % (1265788)Termination reason: Instruction limit
% 67.49/10.48 % (1265788)Termination phase: Saturation
% 67.49/10.48 % (1265788)Time elapsed: 1.396 s
% 67.49/10.48 % (1265788)Peak memory usage: 175 MB
% 67.49/10.48 % (1265788)Instructions burned: 2352 (million)
% 67.49/10.48 % (1265813)------------------------------
% 67.49/10.48 % (1265813)------------------------------
% 67.49/10.48 % (1265816)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=3335325946:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 67.49/10.48 % (1265815)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4089213930:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 67.49/10.48 % (1265815)Refutation not found, incomplete strategy
% 67.49/10.48 % (1265815)------------------------------
% 67.49/10.48 % (1265815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.49/10.48 % (1265815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.49/10.48 % (1265815)CaDiCaL version: 2.1.3
% 67.49/10.48 % (1265815)Termination reason: Refutation not found, incomplete strategy
% 67.49/10.48 % (1265815)Time elapsed: 0.015 s
% 67.49/10.48 % (1265815)Peak memory usage: 92 MB
% 67.49/10.48 % (1265815)Instructions burned: 18 (million)
% 67.49/10.48 % (1265815)------------------------------
% 67.49/10.48 % (1265815)------------------------------
% 67.49/10.48 % (1265819)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=2630036430:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 85.30/13.18 % (1265819)Instruction limit reached!
% 85.30/13.18 % (1265819)------------------------------
% 85.30/13.18 % (1265819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265819)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265819)Termination reason: Instruction limit
% 85.30/13.18 % (1265819)Termination phase: Property scanning
% 85.30/13.18 % (1265819)Time elapsed: 0.088 s
% 85.30/13.18 % (1265819)Peak memory usage: 94 MB
% 85.30/13.18 % (1265819)Instructions burned: 150 (million)
% 85.30/13.18 % (1265821)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3808203429:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 85.30/13.18 % (1265799)Instruction limit reached!
% 85.30/13.18 % (1265799)------------------------------
% 85.30/13.18 % (1265799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265799)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265799)Termination reason: Instruction limit
% 85.30/13.18 % (1265799)Termination phase: Saturation
% 85.30/13.18 % (1265799)Time elapsed: 2.934 s
% 85.30/13.18 % (1265799)Peak memory usage: 190 MB
% 85.30/13.18 % (1265799)Instructions burned: 5203 (million)
% 85.30/13.18 % (1265823)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1287580182:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 85.30/13.18 % (1265816)Instruction limit reached!
% 85.30/13.18 % (1265816)------------------------------
% 85.30/13.18 % (1265816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265816)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265816)Termination reason: Instruction limit
% 85.30/13.18 % (1265816)Termination phase: Saturation
% 85.30/13.18 % (1265816)Time elapsed: 1.944 s
% 85.30/13.18 % (1265816)Peak memory usage: 203 MB
% 85.30/13.18 % (1265816)Instructions burned: 6062 (million)
% 85.30/13.18 % (1265825)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=113534577:s2a=on:i=185:s2at=1.8:fdi=4_2956 on theBenchmark for (2956ds/185Mi)
% 85.30/13.18 % (1265825)Instruction limit reached!
% 85.30/13.18 % (1265825)------------------------------
% 85.30/13.18 % (1265825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265825)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265825)Termination reason: Instruction limit
% 85.30/13.18 % (1265825)Termination phase: Function definition elimination
% 85.30/13.18 % (1265825)Time elapsed: 0.057 s
% 85.30/13.18 % (1265825)Peak memory usage: 94 MB
% 85.30/13.18 % (1265825)Instructions burned: 190 (million)
% 85.30/13.18 % (1265823)Instruction limit reached!
% 85.30/13.18 % (1265823)------------------------------
% 85.30/13.18 % (1265823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265823)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265823)Termination reason: Instruction limit
% 85.30/13.18 % (1265823)Termination phase: Saturation
% 85.30/13.18 % (1265823)Time elapsed: 0.294 s
% 85.30/13.18 % (1265823)Peak memory usage: 101 MB
% 85.30/13.18 % (1265823)Instructions burned: 670 (million)
% 85.30/13.18 % (1265827)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3592421871:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2954 on theBenchmark for (2954ds/193Mi)
% 85.30/13.18 % (1265827)Instruction limit reached!
% 85.30/13.18 % (1265827)------------------------------
% 85.30/13.18 % (1265827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265827)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265827)Termination reason: Instruction limit
% 85.30/13.18 % (1265827)Termination phase: Saturation
% 85.30/13.18 % (1265827)Time elapsed: 0.070 s
% 85.30/13.18 % (1265827)Peak memory usage: 94 MB
% 85.30/13.18 % (1265827)Instructions burned: 194 (million)
% 85.30/13.18 % (1265828)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2598794322:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2953 on theBenchmark for (2953ds/4850Mi)
% 85.30/13.18 % (1265830)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1219232933:i=12111:sd=1:ss=included_2952 on theBenchmark for (2952ds/12111Mi)
% 85.30/13.18 % (1265828)Instruction limit reached!
% 85.30/13.18 % (1265828)------------------------------
% 85.30/13.18 % (1265828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265828)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265828)Termination reason: Instruction limit
% 85.30/13.18 % (1265828)Termination phase: Saturation
% 85.30/13.18 % (1265828)Time elapsed: 2.584 s
% 85.30/13.18 % (1265828)Peak memory usage: 123 MB
% 85.30/13.18 % (1265828)Instructions burned: 4851 (million)
% 85.30/13.18 % (1265833)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=190437165:i=319:kws=precedence:fsr=off_2926 on theBenchmark for (2926ds/319Mi)
% 85.30/13.18 % (1265833)Instruction limit reached!
% 85.30/13.18 % (1265833)------------------------------
% 85.30/13.18 % (1265833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265833)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265833)Termination reason: Instruction limit
% 85.30/13.18 % (1265833)Termination phase: Saturation
% 85.30/13.18 % (1265833)Time elapsed: 0.149 s
% 85.30/13.18 % (1265833)Peak memory usage: 97 MB
% 85.30/13.18 % (1265833)Instructions burned: 321 (million)
% 85.30/13.18 % (1265835)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1754359959:i=2064:ep=RST_2923 on theBenchmark for (2923ds/2064Mi)
% 85.30/13.18 % (1265830)Instruction limit reached!
% 85.30/13.18 % (1265830)------------------------------
% 85.30/13.18 % (1265830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265830)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265830)Termination reason: Instruction limit
% 85.30/13.18 % (1265830)Termination phase: Saturation
% 85.30/13.18 % (1265830)Time elapsed: 3.721 s
% 85.30/13.18 % (1265830)Peak memory usage: 289 MB
% 85.30/13.18 % (1265830)Instructions burned: 12115 (million)
% 85.30/13.18 % (1265837)dis-1011_128_sil=32000:random_seed=2031709178:i=3706:ep=RST:av=off_2914 on theBenchmark for (2914ds/3706Mi)
% 85.30/13.18 % (1265835)Instruction limit reached!
% 85.30/13.18 % (1265835)------------------------------
% 85.30/13.18 % (1265835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265835)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265835)Termination reason: Instruction limit
% 85.30/13.18 % (1265835)Termination phase: Saturation
% 85.30/13.18 % (1265835)Time elapsed: 1.104 s
% 85.30/13.18 % (1265835)Peak memory usage: 118 MB
% 85.30/13.18 % (1265835)Instructions burned: 2066 (million)
% 85.30/13.18 % (1265807)Instruction limit reached!
% 85.30/13.18 % (1265807)------------------------------
% 85.30/13.18 % (1265807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265807)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265807)Termination reason: Instruction limit
% 85.30/13.18 % (1265807)Termination phase: Saturation
% 85.30/13.18 % (1265807)Time elapsed: 7.245 s
% 85.30/13.18 % (1265807)Peak memory usage: 206 MB
% 85.30/13.18 % (1265807)Instructions burned: 13194 (million)
% 85.30/13.18 % (1265839)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1068452485:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2910 on theBenchmark for (2910ds/757Mi)
% 85.30/13.18 % (1265840)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1023335281:i=13913:ss=axioms:sgt=8_2909 on theBenchmark for (2909ds/13913Mi)
% 85.30/13.18 % (1265839)Instruction limit reached!
% 85.30/13.18 % (1265839)------------------------------
% 85.30/13.18 % (1265839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265839)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265839)Termination reason: Instruction limit
% 85.30/13.18 % (1265839)Termination phase: Saturation
% 85.30/13.18 % (1265839)Time elapsed: 0.527 s
% 85.30/13.18 % (1265839)Peak memory usage: 106 MB
% 85.30/13.18 % (1265839)Instructions burned: 758 (million)
% 85.30/13.18 % (1265843)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=423093176:i=9925:aac=none_2903 on theBenchmark for (2903ds/9925Mi)
% 85.30/13.18 % (1265837)Instruction limit reached!
% 85.30/13.18 % (1265837)------------------------------
% 85.30/13.18 % (1265837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265837)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265837)Termination reason: Instruction limit
% 85.30/13.18 % (1265837)Termination phase: Saturation
% 85.30/13.18 % (1265837)Time elapsed: 1.121 s
% 85.30/13.18 % (1265837)Peak memory usage: 134 MB
% 85.30/13.18 % (1265837)Instructions burned: 3707 (million)
% 85.30/13.18 % (1265845)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=4069540197:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2901 on theBenchmark for (2901ds/2479Mi)
% 85.30/13.18 % (1265845)Instruction limit reached!
% 85.30/13.18 % (1265845)------------------------------
% 85.30/13.18 % (1265845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265845)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265845)Termination reason: Instruction limit
% 85.30/13.18 % (1265845)Termination phase: Saturation
% 85.30/13.18 % (1265845)Time elapsed: 0.515 s
% 85.30/13.18 % (1265845)Peak memory usage: 98 MB
% 85.30/13.18 % (1265845)Instructions burned: 2486 (million)
% 85.30/13.18 % (1265847)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2482822776:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2895 on theBenchmark for (2895ds/440Mi)
% 85.30/13.18 % (1265847)Instruction limit reached!
% 85.30/13.18 % (1265847)------------------------------
% 85.30/13.18 % (1265847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265847)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265847)Termination reason: Instruction limit
% 85.30/13.18 % (1265847)Termination phase: Saturation
% 85.30/13.18 % (1265847)Time elapsed: 0.120 s
% 85.30/13.18 % (1265847)Peak memory usage: 99 MB
% 85.30/13.18 % (1265847)Instructions burned: 443 (million)
% 85.30/13.18 % (1265849)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1819116020:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2892 on theBenchmark for (2892ds/11145Mi)
% 85.30/13.18 % (1265821)Instruction limit reached!
% 85.30/13.18 % (1265821)------------------------------
% 85.30/13.18 % (1265821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.30/13.18 % (1265821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.30/13.18 % (1265821)CaDiCaL version: 2.1.3
% 85.30/13.18 % (1265821)Termination reason: Instruction limit
% 85.30/13.18 % (1265821)Termination phase: Saturation
% 85.30/13.18 % (1265821)Time elapsed: 7.861 s
% 85.30/13.18 % (1265821)Peak memory usage: 266 MB
% 85.30/13.18 % (1265821)Instructions burned: 14155 (million)
% 85.30/13.18 % (1265851)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=2948339305:cts=off:i=3034:av=off:er=known:fsd=on_2890 on theBenchmark for (2890ds/3034Mi)
% 85.30/13.18 % (1265849)First to succeed.
% 85.30/13.18 % (1265849)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1265760"
% 85.30/13.18 % (1265849)Refutation found. Thanks to Tanya!
% 85.30/13.18 % SZS status Theorem for theBenchmark
% 85.30/13.18 % SZS output start Proof for theBenchmark
% See solution above
% 87.16/13.37 % (1265849)------------------------------
% 87.16/13.37 % (1265849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.16/13.37 % (1265849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.16/13.37 % (1265849)CaDiCaL version: 2.1.3
% 87.16/13.37 % (1265849)Termination reason: Refutation
% 87.16/13.37 % (1265849)Time elapsed: 1.229 s
% 87.16/13.37 % (1265849)Peak memory usage: 153 MB
% 87.16/13.37 % (1265849)Instructions burned: 3258 (million)
% 87.16/13.37 % (1265849)------------------------------
% 87.16/13.37 % (1265849)------------------------------
% 87.16/13.37 % (1265760)Success in time 12.33 s
% 87.16/13.37 % Vampire exiting
%------------------------------------------------------------------------------