%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT323+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:56 AM UTC 2026
% Result : Theorem 14.00s 6.44s
% Output : Refutation 26.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 31
% Syntax : Number of formulae : 236 ( 29 unt; 14 def)
% Number of atoms : 1201 ( 55 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 1604 ( 639 ~; 725 |; 169 &)
% ( 34 <=>; 35 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 15 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 169 ( 0 sgn 154 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21564,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v1_filter_0(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_filter_0) ).
fof(f22747,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f22752,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f22780,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(f22852,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f31985,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f34606,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(f34607,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f34637,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f34670,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k5_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f34675,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f34676,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f34694,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_filter_2) ).
fof(f34721,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_filter_2) ).
fof(f34723,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l70_filter_2) ).
fof(f34726,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> ( X1 != u1_struct_0(X0)
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_filter_2) ).
fof(f34728,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_filter_2) ).
fof(f34729,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f34728]) ).
fof(f34765,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,[],[f34606]) ).
fof(f34766,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,[],[f34765]) ).
fof(f34767,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34607]) ).
fof(f34768,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34767]) ).
fof(f34827,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f34637]) ).
fof(f34828,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f34827]) ).
fof(f34890,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34670]) ).
fof(f34891,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34890]) ).
fof(f34900,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34675]) ).
fof(f34901,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34900]) ).
fof(f34902,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34676]) ).
fof(f34903,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34902]) ).
fof(f34938,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34694]) ).
fof(f34939,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34938]) ).
fof(f34992,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34721]) ).
fof(f34993,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34992]) ).
fof(f34996,plain,
! [X0] :
( ! [X1] :
( k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34723]) ).
fof(f34997,plain,
! [X0] :
( ! [X1] :
( k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34996]) ).
fof(f35002,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> ( X1 != u1_struct_0(X0)
& ! [X2] :
( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34726]) ).
fof(f35003,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> ( X1 != u1_struct_0(X0)
& ! [X2] :
( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35002]) ).
fof(f35006,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(X2,X1)
<~> ~ r2_hidden(k7_lattices(X0,X2),X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f34729]) ).
fof(f35007,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(X2,X1)
<~> ~ r2_hidden(k7_lattices(X0,X2),X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f35006]) ).
fof(f35017,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31985]) ).
fof(f35018,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35017]) ).
fof(f35112,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22852]) ).
fof(f35129,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,[],[f22780]) ).
fof(f35130,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,[],[f35129]) ).
fof(f35132,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22747]) ).
fof(f35133,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35132]) ).
fof(f35486,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21564]) ).
fof(f35487,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35486]) ).
fof(f35522,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22752]) ).
fof(f35523,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35522]) ).
fof(f35547,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,[],[f34766]) ).
fof(f35567,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f34901]) ).
fof(f35578,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f34939]) ).
fof(f35593,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f34993]) ).
fof(f35594,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35593]) ).
fof(f35595,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| u1_struct_0(X0) = X1
| ? [X2] :
( ~ r2_hidden(X2,X1)
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ( X1 != u1_struct_0(X0)
& ! [X2] :
( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f35003]) ).
fof(f35596,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| u1_struct_0(X0) = X1
| ? [X2] :
( ~ r2_hidden(X2,X1)
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ( X1 != u1_struct_0(X0)
& ! [X2] :
( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35595]) ).
fof(f35597,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| u1_struct_0(X0) = X1
| ? [X2] :
( ~ r2_hidden(X2,X1)
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ( X1 != u1_struct_0(X0)
& ! [X3] :
( r2_hidden(X3,X1)
| r2_hidden(k7_lattices(X0,X3),X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f35596]) ).
fof(f35598,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| u1_struct_0(X0) = X1
| ( ~ r2_hidden(sK25(X0,X1),X1)
& ~ r2_hidden(k7_lattices(X0,sK25(X0,X1)),X1)
& m1_subset_1(sK25(X0,X1),u1_struct_0(X0)) ) )
& ( ( X1 != u1_struct_0(X0)
& ! [X3] :
( r2_hidden(X3,X1)
| r2_hidden(k7_lattices(X0,X3),X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X2,sK25(X0,X1))],[f35597]) ).
fof(f35601,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1) )
& ( ~ r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(nnf_transformation,[],[f35007]) ).
fof(f35602,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1) )
& ( ~ r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f35601]) ).
fof(f35603,plain,
( ( r2_hidden(k7_lattices(sK26,sK28),sK27)
| ~ r2_hidden(sK28,sK27) )
& ( ~ r2_hidden(k7_lattices(sK26,sK28),sK27)
| r2_hidden(sK28,sK27) )
& m1_subset_1(sK28,u1_struct_0(sK26))
& r2_filter_2(sK26,sK27)
& m2_filter_2(sK27,sK26)
& ~ v3_struct_0(sK26)
& v10_lattices(sK26)
& v17_lattices(sK26)
& l3_lattices(sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27,sK28]),skolemize(X0,sK26),skolemize(X1,sK27),skolemize(X2,sK28)],[f35602]) ).
fof(f35813,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1) )
& ( ~ r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f35487]) ).
fof(f35853,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,[],[f35547]) ).
fof(f35855,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34768]) ).
fof(f35889,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f34828]) ).
fof(f35954,plain,
! [X0,X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34891]) ).
fof(f35966,plain,
! [X0,X1] :
( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35567]) ).
fof(f35968,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34903]) ).
fof(f36023,plain,
! [X0,X1] :
( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35578]) ).
fof(f36094,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35594]) ).
fof(f36117,plain,
! [X0,X1] :
( k7_lattices(X0,X1) = k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34997]) ).
fof(f36121,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| r2_hidden(k7_lattices(X0,X3),X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35598]) ).
fof(f36129,plain,
l3_lattices(sK26),
inference(cnf_transformation,[],[f35603]) ).
fof(f36130,plain,
v17_lattices(sK26),
inference(cnf_transformation,[],[f35603]) ).
fof(f36131,plain,
v10_lattices(sK26),
inference(cnf_transformation,[],[f35603]) ).
fof(f36132,plain,
~ v3_struct_0(sK26),
inference(cnf_transformation,[],[f35603]) ).
fof(f36133,plain,
m2_filter_2(sK27,sK26),
inference(cnf_transformation,[],[f35603]) ).
fof(f36134,plain,
r2_filter_2(sK26,sK27),
inference(cnf_transformation,[],[f35603]) ).
fof(f36135,plain,
m1_subset_1(sK28,u1_struct_0(sK26)),
inference(cnf_transformation,[],[f35603]) ).
fof(f36136,plain,
( ~ r2_hidden(k7_lattices(sK26,sK28),sK27)
| r2_hidden(sK28,sK27) ),
inference(cnf_transformation,[],[f35603]) ).
fof(f36137,plain,
( r2_hidden(k7_lattices(sK26,sK28),sK27)
| ~ r2_hidden(sK28,sK27) ),
inference(cnf_transformation,[],[f35603]) ).
fof(f36151,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35018]) ).
fof(f36276,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35112]) ).
fof(f36299,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35130]) ).
fof(f36302,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35133]) ).
fof(f36794,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35813]) ).
fof(f36869,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35523]) ).
fof(f37251,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f36094]) ).
fof(f37277,definition,
( spl220_1
<=> v3_struct_0(sK26) ),
introduced(definition,[new_symbols(definition,[spl220_1])],[avatar_definition]) ).
fof(f37279,plain,
( ~ v3_struct_0(sK26)
| spl220_1 ),
inference(avatar_component_clause,[],[f37277]) ).
fof(f37280,plain,
~ spl220_1,
inference(avatar_split_clause,[],[f36132,f37277]) ).
fof(f37282,definition,
( spl220_2
<=> r2_hidden(sK28,sK27) ),
introduced(definition,[new_symbols(definition,[spl220_2])],[avatar_definition]) ).
fof(f37283,plain,
( ~ r2_hidden(sK28,sK27)
| spl220_2 ),
inference(avatar_component_clause,[],[f37282]) ).
fof(f37284,plain,
( r2_hidden(sK28,sK27)
| ~ spl220_2 ),
inference(avatar_component_clause,[],[f37282]) ).
fof(f37286,definition,
( spl220_3
<=> r2_hidden(k7_lattices(sK26,sK28),sK27) ),
introduced(definition,[new_symbols(definition,[spl220_3])],[avatar_definition]) ).
fof(f37287,plain,
( r2_hidden(k7_lattices(sK26,sK28),sK27)
| ~ spl220_3 ),
inference(avatar_component_clause,[],[f37286]) ).
fof(f37288,plain,
( ~ r2_hidden(k7_lattices(sK26,sK28),sK27)
| spl220_3 ),
inference(avatar_component_clause,[],[f37286]) ).
fof(f37289,plain,
( spl220_2
| ~ spl220_3 ),
inference(avatar_split_clause,[],[f36136,f37286,f37282]) ).
fof(f37290,plain,
( ~ r2_hidden(sK28,sK27)
| spl220_3 ),
inference(backward_subsumption_resolution,[],[f36137,f37288]) ).
fof(f37291,plain,
( ~ spl220_2
| spl220_3 ),
inference(avatar_split_clause,[],[f37290,f37286,f37282]) ).
fof(f37294,plain,
( r2_hidden(sK28,sK27)
| ~ m1_subset_1(sK28,u1_struct_0(sK26))
| ~ r2_filter_2(sK26,sK27)
| ~ m2_filter_2(sK27,sK26)
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ v17_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_3 ),
inference(resolution,[],[f37288,f36121]) ).
fof(f37329,plain,
( ~ m1_subset_1(sK28,u1_struct_0(sK26))
| ~ r2_filter_2(sK26,sK27)
| ~ m2_filter_2(sK27,sK26)
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ v17_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_2
| spl220_3 ),
inference(forward_subsumption_resolution,[],[f37294,f37283]) ).
fof(f37341,plain,
( ~ r2_filter_2(sK26,sK27)
| ~ m2_filter_2(sK27,sK26)
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ v17_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_2
| spl220_3 ),
inference(forward_subsumption_resolution,[],[f37329,f36135]) ).
fof(f37348,plain,
( ~ m2_filter_2(sK27,sK26)
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ v17_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_2
| spl220_3 ),
inference(forward_subsumption_resolution,[],[f37341,f36134]) ).
fof(f37354,plain,
( v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ v17_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_2
| spl220_3 ),
inference(forward_subsumption_resolution,[],[f37348,f36133]) ).
fof(f37359,plain,
( ~ v10_lattices(sK26)
| ~ v17_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| spl220_2
| spl220_3 ),
inference(forward_subsumption_resolution,[],[f37354,f37279]) ).
fof(f37362,plain,
( ~ v17_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| spl220_2
| spl220_3 ),
inference(forward_subsumption_resolution,[],[f37359,f36131]) ).
fof(f37365,plain,
( ~ l3_lattices(sK26)
| spl220_1
| spl220_2
| spl220_3 ),
inference(forward_subsumption_resolution,[],[f37362,f36130]) ).
fof(f37366,plain,
( $false
| spl220_1
| spl220_2
| spl220_3 ),
inference(forward_subsumption_resolution,[],[f37365,f36129]) ).
fof(f37367,plain,
( spl220_1
| spl220_2
| spl220_3 ),
inference(avatar_contradiction_clause,[],[f37366]) ).
fof(f37679,definition,
( spl220_4
<=> l3_lattices(sK26) ),
introduced(definition,[new_symbols(definition,[spl220_4])],[avatar_definition]) ).
fof(f37681,plain,
( l3_lattices(sK26)
| ~ spl220_4 ),
inference(avatar_component_clause,[],[f37679]) ).
fof(f37682,plain,
spl220_4,
inference(avatar_split_clause,[],[f36129,f37679]) ).
fof(f37684,definition,
( spl220_5
<=> v17_lattices(sK26) ),
introduced(definition,[new_symbols(definition,[spl220_5])],[avatar_definition]) ).
fof(f37686,plain,
( v17_lattices(sK26)
| ~ spl220_5 ),
inference(avatar_component_clause,[],[f37684]) ).
fof(f37687,plain,
spl220_5,
inference(avatar_split_clause,[],[f36130,f37684]) ).
fof(f37689,definition,
( spl220_6
<=> v10_lattices(sK26) ),
introduced(definition,[new_symbols(definition,[spl220_6])],[avatar_definition]) ).
fof(f37691,plain,
( v10_lattices(sK26)
| ~ spl220_6 ),
inference(avatar_component_clause,[],[f37689]) ).
fof(f37692,plain,
spl220_6,
inference(avatar_split_clause,[],[f36131,f37689]) ).
fof(f37694,definition,
( spl220_7
<=> m2_filter_2(sK27,sK26) ),
introduced(definition,[new_symbols(definition,[spl220_7])],[avatar_definition]) ).
fof(f37696,plain,
( m2_filter_2(sK27,sK26)
| ~ spl220_7 ),
inference(avatar_component_clause,[],[f37694]) ).
fof(f37697,plain,
spl220_7,
inference(avatar_split_clause,[],[f36133,f37694]) ).
fof(f37698,plain,
( m2_lattice4(sK27,sK26)
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| ~ spl220_7 ),
inference(resolution,[],[f37696,f35855]) ).
fof(f37701,plain,
( k15_filter_2(sK26,sK27) = k7_filter_2(sK26,sK27)
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| ~ spl220_7 ),
inference(resolution,[],[f37696,f35889]) ).
fof(f37710,plain,
( m1_filter_2(sK27,k1_lattice2(sK26))
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| ~ spl220_7 ),
inference(resolution,[],[f37696,f35966]) ).
fof(f37724,plain,
( v1_filter_0(k15_filter_2(sK26,sK27),k1_lattice2(sK26))
| ~ r2_filter_2(sK26,sK27)
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| ~ spl220_7 ),
inference(resolution,[],[f37696,f36023]) ).
fof(f37794,plain,
( v1_filter_0(k15_filter_2(sK26,sK27),k1_lattice2(sK26))
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37724,f36134]) ).
fof(f37804,plain,
( m1_filter_2(sK27,k1_lattice2(sK26))
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37710,f37279]) ).
fof(f37813,plain,
( k15_filter_2(sK26,sK27) = k7_filter_2(sK26,sK27)
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37701,f37279]) ).
fof(f37815,plain,
( m2_lattice4(sK27,sK26)
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37698,f37279]) ).
fof(f37848,plain,
( v1_filter_0(k15_filter_2(sK26,sK27),k1_lattice2(sK26))
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37794,f37279]) ).
fof(f37858,plain,
( m1_filter_2(sK27,k1_lattice2(sK26))
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_6
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37804,f37691]) ).
fof(f37867,plain,
( k15_filter_2(sK26,sK27) = k7_filter_2(sK26,sK27)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_6
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37813,f37691]) ).
fof(f37869,plain,
( m2_lattice4(sK27,sK26)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_6
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37815,f37691]) ).
fof(f37902,plain,
( v1_filter_0(k15_filter_2(sK26,sK27),k1_lattice2(sK26))
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_6
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37848,f37691]) ).
fof(f37912,plain,
( m1_filter_2(sK27,k1_lattice2(sK26))
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37858,f37681]) ).
fof(f37921,plain,
( k15_filter_2(sK26,sK27) = k7_filter_2(sK26,sK27)
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37867,f37681]) ).
fof(f37923,plain,
( m2_lattice4(sK27,sK26)
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37869,f37681]) ).
fof(f37929,plain,
( v1_filter_0(k15_filter_2(sK26,sK27),k1_lattice2(sK26))
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_7 ),
inference(forward_subsumption_resolution,[],[f37902,f37681]) ).
fof(f37939,plain,
( v1_filter_0(k7_filter_2(sK26,sK27),k1_lattice2(sK26))
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_7 ),
inference(forward_demodulation,[],[f37929,f37921]) ).
fof(f38281,plain,
( u1_struct_0(sK26) = u1_struct_0(k1_lattice2(sK26))
| ~ l3_lattices(sK26)
| spl220_1 ),
inference(resolution,[],[f37279,f36299]) ).
fof(f38283,plain,
( ~ v3_struct_0(k1_lattice2(sK26))
| ~ l3_lattices(sK26)
| spl220_1 ),
inference(resolution,[],[f37279,f36302]) ).
fof(f38518,plain,
( v10_lattices(k1_lattice2(sK26))
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1 ),
inference(resolution,[],[f37279,f36869]) ).
fof(f38654,plain,
( v17_lattices(k1_lattice2(sK26))
| ~ v10_lattices(sK26)
| ~ v17_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1 ),
inference(resolution,[],[f37279,f37251]) ).
fof(f38707,plain,
( v17_lattices(k1_lattice2(sK26))
| ~ v17_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_6 ),
inference(forward_subsumption_resolution,[],[f38654,f37691]) ).
fof(f38839,plain,
( v10_lattices(k1_lattice2(sK26))
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_6 ),
inference(forward_subsumption_resolution,[],[f38518,f37691]) ).
fof(f39071,plain,
( ~ v3_struct_0(k1_lattice2(sK26))
| spl220_1
| ~ spl220_4 ),
inference(forward_subsumption_resolution,[],[f38283,f37681]) ).
fof(f39072,plain,
( u1_struct_0(sK26) = u1_struct_0(k1_lattice2(sK26))
| spl220_1
| ~ spl220_4 ),
inference(forward_subsumption_resolution,[],[f38281,f37681]) ).
fof(f39412,plain,
( v17_lattices(k1_lattice2(sK26))
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_5
| ~ spl220_6 ),
inference(forward_subsumption_resolution,[],[f38707,f37686]) ).
fof(f39521,plain,
( v10_lattices(k1_lattice2(sK26))
| spl220_1
| ~ spl220_4
| ~ spl220_6 ),
inference(forward_subsumption_resolution,[],[f38839,f37681]) ).
fof(f40023,plain,
( v17_lattices(k1_lattice2(sK26))
| spl220_1
| ~ spl220_4
| ~ spl220_5
| ~ spl220_6 ),
inference(forward_subsumption_resolution,[],[f39412,f37681]) ).
fof(f41641,plain,
( l3_lattices(k1_lattice2(sK26))
| ~ spl220_4 ),
inference(resolution,[],[f37681,f36276]) ).
fof(f42266,definition,
( spl220_10
<=> m1_subset_1(sK28,u1_struct_0(sK26)) ),
introduced(definition,[new_symbols(definition,[spl220_10])],[avatar_definition]) ).
fof(f42268,plain,
( m1_subset_1(sK28,u1_struct_0(sK26))
| ~ spl220_10 ),
inference(avatar_component_clause,[],[f42266]) ).
fof(f42269,plain,
spl220_10,
inference(avatar_split_clause,[],[f36135,f42266]) ).
fof(f42284,plain,
( sK28 = k5_filter_2(sK26,sK28)
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| ~ spl220_10 ),
inference(resolution,[],[f42268,f35954]) ).
fof(f42322,plain,
( k7_lattices(sK26,sK28) = k7_lattices(k1_lattice2(sK26),k5_filter_2(sK26,sK28))
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ v17_lattices(sK26)
| ~ l3_lattices(sK26)
| ~ spl220_10 ),
inference(resolution,[],[f42268,f36117]) ).
fof(f43177,plain,
( k7_lattices(sK26,sK28) = k7_lattices(k1_lattice2(sK26),k5_filter_2(sK26,sK28))
| ~ v10_lattices(sK26)
| ~ v17_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_10 ),
inference(forward_subsumption_resolution,[],[f42322,f37279]) ).
fof(f43214,plain,
( sK28 = k5_filter_2(sK26,sK28)
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_10 ),
inference(forward_subsumption_resolution,[],[f42284,f37279]) ).
fof(f43580,plain,
( k7_lattices(sK26,sK28) = k7_lattices(k1_lattice2(sK26),k5_filter_2(sK26,sK28))
| ~ v17_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_6
| ~ spl220_10 ),
inference(forward_subsumption_resolution,[],[f43177,f37691]) ).
fof(f43615,plain,
( sK28 = k5_filter_2(sK26,sK28)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_6
| ~ spl220_10 ),
inference(forward_subsumption_resolution,[],[f43214,f37691]) ).
fof(f43959,plain,
( k7_lattices(sK26,sK28) = k7_lattices(k1_lattice2(sK26),k5_filter_2(sK26,sK28))
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_5
| ~ spl220_6
| ~ spl220_10 ),
inference(forward_subsumption_resolution,[],[f43580,f37686]) ).
fof(f43992,plain,
( sK28 = k5_filter_2(sK26,sK28)
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_10 ),
inference(forward_subsumption_resolution,[],[f43615,f37681]) ).
fof(f44153,plain,
( k7_lattices(sK26,sK28) = k7_lattices(k1_lattice2(sK26),k5_filter_2(sK26,sK28))
| spl220_1
| ~ spl220_4
| ~ spl220_5
| ~ spl220_6
| ~ spl220_10 ),
inference(forward_subsumption_resolution,[],[f43959,f37681]) ).
fof(f44195,plain,
( k7_lattices(sK26,sK28) = k7_lattices(k1_lattice2(sK26),sK28)
| spl220_1
| ~ spl220_4
| ~ spl220_5
| ~ spl220_6
| ~ spl220_10 ),
inference(forward_demodulation,[],[f44153,f43992]) ).
fof(f44718,definition,
( spl220_16
<=> m2_lattice4(sK27,sK26) ),
introduced(definition,[new_symbols(definition,[spl220_16])],[avatar_definition]) ).
fof(f44720,plain,
( m2_lattice4(sK27,sK26)
| ~ spl220_16 ),
inference(avatar_component_clause,[],[f44718]) ).
fof(f44721,plain,
( spl220_16
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_7 ),
inference(avatar_split_clause,[],[f37923,f37694,f37689,f37679,f37277,f44718]) ).
fof(f44736,plain,
( m1_subset_1(sK27,k1_zfmisc_1(u1_struct_0(sK26)))
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| ~ spl220_16 ),
inference(resolution,[],[f44720,f36151]) ).
fof(f44741,plain,
( m1_subset_1(sK27,k1_zfmisc_1(u1_struct_0(sK26)))
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_16 ),
inference(forward_subsumption_resolution,[],[f44736,f37279]) ).
fof(f44753,plain,
( m1_subset_1(sK27,k1_zfmisc_1(u1_struct_0(sK26)))
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_6
| ~ spl220_16 ),
inference(forward_subsumption_resolution,[],[f44741,f37691]) ).
fof(f44761,plain,
( m1_subset_1(sK27,k1_zfmisc_1(u1_struct_0(sK26)))
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_16 ),
inference(forward_subsumption_resolution,[],[f44753,f37681]) ).
fof(f44796,definition,
( spl220_18
<=> m1_filter_2(sK27,k1_lattice2(sK26)) ),
introduced(definition,[new_symbols(definition,[spl220_18])],[avatar_definition]) ).
fof(f44798,plain,
( m1_filter_2(sK27,k1_lattice2(sK26))
| ~ spl220_18 ),
inference(avatar_component_clause,[],[f44796]) ).
fof(f44799,plain,
( spl220_18
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_7 ),
inference(avatar_split_clause,[],[f37912,f37694,f37689,f37679,f37277,f44796]) ).
fof(f45294,plain,
( m1_filter_0(sK27,k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ spl220_18 ),
inference(resolution,[],[f44798,f35853]) ).
fof(f45302,plain,
( m1_filter_0(sK27,k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| ~ l3_lattices(k1_lattice2(sK26))
| spl220_1
| ~ spl220_4
| ~ spl220_18 ),
inference(forward_subsumption_resolution,[],[f45294,f39071]) ).
fof(f45307,plain,
( m1_filter_0(sK27,k1_lattice2(sK26))
| ~ l3_lattices(k1_lattice2(sK26))
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_18 ),
inference(forward_subsumption_resolution,[],[f45302,f39521]) ).
fof(f45310,plain,
( m1_filter_0(sK27,k1_lattice2(sK26))
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_18 ),
inference(forward_subsumption_resolution,[],[f45307,f41641]) ).
fof(f46452,definition,
( spl220_31
<=> m1_filter_0(sK27,k1_lattice2(sK26)) ),
introduced(definition,[new_symbols(definition,[spl220_31])],[avatar_definition]) ).
fof(f46454,plain,
( m1_filter_0(sK27,k1_lattice2(sK26))
| ~ spl220_31 ),
inference(avatar_component_clause,[],[f46452]) ).
fof(f46455,plain,
( spl220_31
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_18 ),
inference(avatar_split_clause,[],[f45310,f44796,f37689,f37679,f37277,f46452]) ).
fof(f49618,plain,
( ! [X0] :
( ~ r2_hidden(k7_lattices(k1_lattice2(sK26),X0),sK27)
| ~ r2_hidden(X0,sK27)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK26)))
| ~ v1_filter_0(sK27,k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| ~ v17_lattices(k1_lattice2(sK26))
| ~ l3_lattices(k1_lattice2(sK26)) )
| ~ spl220_31 ),
inference(resolution,[],[f46454,f36794]) ).
fof(f49687,plain,
( ! [X0] :
( ~ r2_hidden(k7_lattices(k1_lattice2(sK26),X0),sK27)
| ~ r2_hidden(X0,sK27)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK26)))
| ~ v1_filter_0(sK27,k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| ~ v17_lattices(k1_lattice2(sK26))
| ~ l3_lattices(k1_lattice2(sK26)) )
| spl220_1
| ~ spl220_4
| ~ spl220_31 ),
inference(forward_subsumption_resolution,[],[f49618,f39071]) ).
fof(f49756,plain,
( ! [X0] :
( ~ r2_hidden(k7_lattices(k1_lattice2(sK26),X0),sK27)
| ~ r2_hidden(X0,sK27)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK26)))
| ~ v1_filter_0(sK27,k1_lattice2(sK26))
| ~ v17_lattices(k1_lattice2(sK26))
| ~ l3_lattices(k1_lattice2(sK26)) )
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_31 ),
inference(forward_subsumption_resolution,[],[f49687,f39521]) ).
fof(f49823,plain,
( ! [X0] :
( ~ r2_hidden(k7_lattices(k1_lattice2(sK26),X0),sK27)
| ~ r2_hidden(X0,sK27)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK26)))
| ~ v1_filter_0(sK27,k1_lattice2(sK26))
| ~ l3_lattices(k1_lattice2(sK26)) )
| spl220_1
| ~ spl220_4
| ~ spl220_5
| ~ spl220_6
| ~ spl220_31 ),
inference(forward_subsumption_resolution,[],[f49756,f40023]) ).
fof(f49887,plain,
( ! [X0] :
( ~ r2_hidden(k7_lattices(k1_lattice2(sK26),X0),sK27)
| ~ r2_hidden(X0,sK27)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK26)))
| ~ v1_filter_0(sK27,k1_lattice2(sK26)) )
| spl220_1
| ~ spl220_4
| ~ spl220_5
| ~ spl220_6
| ~ spl220_31 ),
inference(forward_subsumption_resolution,[],[f49823,f41641]) ).
fof(f49931,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK26))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK26),X0),sK27)
| ~ r2_hidden(X0,sK27)
| ~ v1_filter_0(sK27,k1_lattice2(sK26)) )
| spl220_1
| ~ spl220_4
| ~ spl220_5
| ~ spl220_6
| ~ spl220_31 ),
inference(forward_demodulation,[],[f49887,f39072]) ).
fof(f50019,definition,
( spl220_47
<=> v1_filter_0(k7_filter_2(sK26,sK27),k1_lattice2(sK26)) ),
introduced(definition,[new_symbols(definition,[spl220_47])],[avatar_definition]) ).
fof(f50021,plain,
( v1_filter_0(k7_filter_2(sK26,sK27),k1_lattice2(sK26))
| ~ spl220_47 ),
inference(avatar_component_clause,[],[f50019]) ).
fof(f50022,plain,
( spl220_47
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_7 ),
inference(avatar_split_clause,[],[f37939,f37694,f37689,f37679,f37277,f50019]) ).
fof(f50109,definition,
( spl220_50
<=> k7_lattices(sK26,sK28) = k7_lattices(k1_lattice2(sK26),sK28) ),
introduced(definition,[new_symbols(definition,[spl220_50])],[avatar_definition]) ).
fof(f50111,plain,
( k7_lattices(sK26,sK28) = k7_lattices(k1_lattice2(sK26),sK28)
| ~ spl220_50 ),
inference(avatar_component_clause,[],[f50109]) ).
fof(f50112,plain,
( spl220_50
| spl220_1
| ~ spl220_4
| ~ spl220_5
| ~ spl220_6
| ~ spl220_10 ),
inference(avatar_split_clause,[],[f44195,f42266,f37689,f37684,f37679,f37277,f50109]) ).
fof(f53194,plain,
( v1_filter_0(sK27,k1_lattice2(sK26))
| ~ m1_subset_1(sK27,k1_zfmisc_1(u1_struct_0(sK26)))
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| ~ spl220_47 ),
inference(superposition,[],[f50021,f35968]) ).
fof(f53199,plain,
( v1_filter_0(sK27,k1_lattice2(sK26))
| v3_struct_0(sK26)
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_16
| ~ spl220_47 ),
inference(forward_subsumption_resolution,[],[f53194,f44761]) ).
fof(f53209,plain,
( v1_filter_0(sK27,k1_lattice2(sK26))
| ~ v10_lattices(sK26)
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_16
| ~ spl220_47 ),
inference(forward_subsumption_resolution,[],[f53199,f37279]) ).
fof(f53217,plain,
( v1_filter_0(sK27,k1_lattice2(sK26))
| ~ l3_lattices(sK26)
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_16
| ~ spl220_47 ),
inference(forward_subsumption_resolution,[],[f53209,f37691]) ).
fof(f53225,plain,
( v1_filter_0(sK27,k1_lattice2(sK26))
| spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_16
| ~ spl220_47 ),
inference(forward_subsumption_resolution,[],[f53217,f37681]) ).
fof(f53237,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK26))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK26),X0),sK27)
| ~ r2_hidden(X0,sK27) )
| spl220_1
| ~ spl220_4
| ~ spl220_5
| ~ spl220_6
| ~ spl220_16
| ~ spl220_31
| ~ spl220_47 ),
inference(backward_subsumption_resolution,[],[f49931,f53225]) ).
fof(f53260,definition,
( spl220_70
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK26))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK26),X0),sK27)
| ~ r2_hidden(X0,sK27) ) ),
introduced(definition,[new_symbols(definition,[spl220_70])],[avatar_definition]) ).
fof(f53261,plain,
( ! [X0] :
( ~ r2_hidden(k7_lattices(k1_lattice2(sK26),X0),sK27)
| ~ m1_subset_1(X0,u1_struct_0(sK26))
| ~ r2_hidden(X0,sK27) )
| ~ spl220_70 ),
inference(avatar_component_clause,[],[f53260]) ).
fof(f53262,plain,
( spl220_70
| spl220_1
| ~ spl220_4
| ~ spl220_5
| ~ spl220_6
| ~ spl220_16
| ~ spl220_31
| ~ spl220_47 ),
inference(avatar_split_clause,[],[f53237,f50019,f46452,f44718,f37689,f37684,f37679,f37277,f53260]) ).
fof(f53290,plain,
( ~ r2_hidden(k7_lattices(sK26,sK28),sK27)
| ~ m1_subset_1(sK28,u1_struct_0(sK26))
| ~ r2_hidden(sK28,sK27)
| ~ spl220_50
| ~ spl220_70 ),
inference(superposition,[],[f53261,f50111]) ).
fof(f53304,plain,
( ~ m1_subset_1(sK28,u1_struct_0(sK26))
| ~ r2_hidden(sK28,sK27)
| ~ spl220_3
| ~ spl220_50
| ~ spl220_70 ),
inference(forward_subsumption_resolution,[],[f53290,f37287]) ).
fof(f53325,plain,
( ~ r2_hidden(sK28,sK27)
| ~ spl220_3
| ~ spl220_10
| ~ spl220_50
| ~ spl220_70 ),
inference(forward_subsumption_resolution,[],[f53304,f42268]) ).
fof(f53342,plain,
( $false
| ~ spl220_2
| ~ spl220_3
| ~ spl220_10
| ~ spl220_50
| ~ spl220_70 ),
inference(forward_subsumption_resolution,[],[f53325,f37284]) ).
fof(f53343,plain,
( ~ spl220_2
| ~ spl220_3
| ~ spl220_10
| ~ spl220_50
| ~ spl220_70 ),
inference(avatar_contradiction_clause,[],[f53342]) ).
cnf(s1,plain,
~ spl220_1,
inference(sat_conversion,[],[f37280]) ).
cnf(s2,plain,
( spl220_2
| ~ spl220_3 ),
inference(sat_conversion,[],[f37289]) ).
cnf(s3,plain,
( ~ spl220_2
| spl220_3 ),
inference(sat_conversion,[],[f37291]) ).
cnf(s4,plain,
( spl220_1
| spl220_2
| spl220_3 ),
inference(sat_conversion,[],[f37367]) ).
cnf(s5,plain,
spl220_4,
inference(sat_conversion,[],[f37682]) ).
cnf(s6,plain,
spl220_5,
inference(sat_conversion,[],[f37687]) ).
cnf(s7,plain,
spl220_6,
inference(sat_conversion,[],[f37692]) ).
cnf(s8,plain,
spl220_7,
inference(sat_conversion,[],[f37697]) ).
cnf(s11,plain,
spl220_10,
inference(sat_conversion,[],[f42269]) ).
cnf(s17,plain,
( spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_7
| spl220_16 ),
inference(sat_conversion,[],[f44721]) ).
cnf(s19,plain,
( spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_7
| spl220_18 ),
inference(sat_conversion,[],[f44799]) ).
cnf(s31,plain,
( spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_18
| spl220_31 ),
inference(sat_conversion,[],[f46455]) ).
cnf(s47,plain,
( spl220_1
| ~ spl220_4
| ~ spl220_6
| ~ spl220_7
| spl220_47 ),
inference(sat_conversion,[],[f50022]) ).
cnf(s50,plain,
( spl220_1
| ~ spl220_4
| ~ spl220_5
| ~ spl220_6
| ~ spl220_10
| spl220_50 ),
inference(sat_conversion,[],[f50112]) ).
cnf(s70,plain,
( spl220_1
| ~ spl220_4
| ~ spl220_5
| ~ spl220_6
| ~ spl220_16
| ~ spl220_31
| ~ spl220_47
| spl220_70 ),
inference(sat_conversion,[],[f53262]) ).
cnf(s71,plain,
( ~ spl220_2
| ~ spl220_3
| ~ spl220_10
| ~ spl220_50
| ~ spl220_70 ),
inference(sat_conversion,[],[f53343]) ).
cnf(s88,plain,
spl220_50,
inference(rat,[],[s50,s5,s11,s7,s6,s1]) ).
cnf(s90,plain,
spl220_47,
inference(rat,[],[s47,s5,s8,s7,s1]) ).
cnf(s105,plain,
spl220_18,
inference(rat,[],[s19,s5,s8,s7,s1]) ).
cnf(s107,plain,
spl220_16,
inference(rat,[],[s17,s5,s8,s7,s1]) ).
cnf(s115,plain,
spl220_31,
inference(rat,[],[s31,s1,s5,s7,s105]) ).
cnf(s118,plain,
spl220_70,
inference(rat,[],[s70,s107,s90,s1,s5,s7,s6,s115]) ).
cnf(s124,plain,
spl220_2,
inference(rat,[],[s2,s4,s1]) ).
cnf(s125,plain,
~ spl220_3,
inference(rat,[],[s71,s118,s88,s11,s124]) ).
cnf(s128,plain,
$false,
inference(rat,[],[s3,s125,s124]) ).
fof(f53379,plain,
$false,
inference(avatar_sat_refutation,[],[s128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT323+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 14:37:23 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 15.40/4.93 % (4056516)Detected formulas, will run a generic FOF schedule.
% 15.40/4.93 % (4056525)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1634406848:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 15.40/4.93 % (4056524)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1876047834:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 15.40/4.93 % (4056521)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=3835823224:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 15.40/4.93 % (4056526)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3270310316:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 15.40/4.93 % (4056522)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=3887663698:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 15.40/4.93 % (4056523)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=346302567:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 15.40/4.93 % (4056527)dis-21_1_sil=8000:lcm=predicate:random_seed=826475534:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2978 on theBenchmark for (2978ds/129Mi)
% 15.40/4.93 % (4056525)Instruction limit reached!
% 15.40/4.93 % (4056525)------------------------------
% 15.40/4.93 % (4056525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.40/4.93 % (4056525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/4.93 % (4056525)CaDiCaL version: 2.1.3
% 15.40/4.93 % (4056525)Termination reason: Instruction limit
% 15.40/4.93 % (4056525)Termination phase: SInE selection
% 15.40/4.93 % (4056525)Time elapsed: 0.053 s
% 15.40/4.93 % (4056525)Peak memory usage: 136 MB
% 15.40/4.93 % (4056525)Instructions burned: 120 (million)
% 15.40/4.93 % (4056526)Instruction limit reached!
% 15.40/4.93 % (4056526)------------------------------
% 15.40/4.93 % (4056526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.40/4.93 % (4056526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/4.93 % (4056526)CaDiCaL version: 2.1.3
% 15.40/4.93 % (4056526)Termination reason: Instruction limit
% 15.40/4.93 % (4056526)Termination phase: Property scanning
% 15.40/4.93 % (4056526)Time elapsed: 0.064 s
% 15.40/4.93 % (4056526)Peak memory usage: 136 MB
% 15.40/4.93 % (4056526)Instructions burned: 141 (million)
% 15.40/4.93 % (4056524)Instruction limit reached!
% 15.40/4.93 % (4056524)------------------------------
% 15.40/4.93 % (4056524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.40/4.93 % (4056524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/4.93 % (4056524)CaDiCaL version: 2.1.3
% 15.40/4.93 % (4056524)Termination reason: Instruction limit
% 15.40/4.93 % (4056524)Termination phase: SInE selection
% 15.40/4.93 % (4056524)Time elapsed: 0.081 s
% 15.40/4.93 % (4056524)Peak memory usage: 136 MB
% 15.40/4.93 % (4056524)Instructions burned: 110 (million)
% 15.40/4.93 % (4056527)Instruction limit reached!
% 15.40/4.93 % (4056527)------------------------------
% 15.40/4.93 % (4056527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.40/4.93 % (4056527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/4.93 % (4056527)CaDiCaL version: 2.1.3
% 15.40/4.93 % (4056527)Termination reason: Instruction limit
% 15.40/4.93 % (4056527)Termination phase: SInE selection
% 15.40/4.93 % (4056527)Time elapsed: 0.091 s
% 15.40/4.93 % (4056527)Peak memory usage: 136 MB
% 15.40/4.93 % (4056527)Instructions burned: 129 (million)
% 15.40/4.93 % (4056535)lrs+10_1_sil=8000:sp=occurrence:random_seed=2345813261:i=285:sd=3:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/285Mi)
% 15.40/4.93 % (4056536)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2163678647:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 15.40/4.93 % (4056537)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3809465452:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 15.40/4.93 % (4056535)Instruction limit reached!
% 15.40/4.93 % (4056535)------------------------------
% 15.40/4.93 % (4056535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.40/4.93 % (4056535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/6.03 % (4056535)CaDiCaL version: 2.1.3
% 22.15/6.03 % (4056535)Termination reason: Instruction limit
% 22.15/6.03 % (4056535)Termination phase: Saturation
% 22.15/6.03 % (4056535)Time elapsed: 0.128 s
% 22.15/6.03 % (4056535)Peak memory usage: 141 MB
% 22.15/6.03 % (4056535)Instructions burned: 286 (million)
% 22.15/6.03 % (4056538)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=1179900287:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 22.15/6.03 % (4056536)Instruction limit reached!
% 22.15/6.03 % (4056536)------------------------------
% 22.15/6.03 % (4056536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.15/6.03 % (4056536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/6.03 % (4056536)CaDiCaL version: 2.1.3
% 22.15/6.03 % (4056536)Termination reason: Instruction limit
% 22.15/6.03 % (4056536)Termination phase: Property scanning
% 22.15/6.03 % (4056536)Time elapsed: 0.070 s
% 22.15/6.03 % (4056536)Peak memory usage: 136 MB
% 22.15/6.03 % (4056536)Instructions burned: 159 (million)
% 22.15/6.03 % (4056538)Instruction limit reached!
% 22.15/6.03 % (4056538)------------------------------
% 22.15/6.03 % (4056538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.15/6.03 % (4056538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/6.03 % (4056538)CaDiCaL version: 2.1.3
% 22.15/6.03 % (4056538)Termination reason: Instruction limit
% 22.15/6.03 % (4056538)Termination phase: Property scanning
% 22.15/6.03 % (4056538)Time elapsed: 0.111 s
% 22.15/6.03 % (4056538)Peak memory usage: 136 MB
% 22.15/6.03 % (4056538)Instructions burned: 248 (million)
% 22.15/6.03 % (4056542)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=16185713:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 22.15/6.03 % (4056544)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=467680981:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 22.15/6.03 % (4056542)Instruction limit reached!
% 22.15/6.03 % (4056542)------------------------------
% 22.15/6.03 % (4056542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.15/6.03 % (4056542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/6.03 % (4056542)CaDiCaL version: 2.1.3
% 22.15/6.03 % (4056542)Termination reason: Instruction limit
% 22.15/6.03 % (4056542)Termination phase: SInE selection
% 22.15/6.03 % (4056542)Time elapsed: 0.105 s
% 22.15/6.03 % (4056542)Peak memory usage: 137 MB
% 22.15/6.03 % (4056542)Instructions burned: 296 (million)
% 22.15/6.03 % (4056537)Instruction limit reached!
% 22.15/6.03 % (4056537)------------------------------
% 22.15/6.03 % (4056537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.15/6.03 % (4056537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/6.03 % (4056537)CaDiCaL version: 2.1.3
% 22.15/6.03 % (4056537)Termination reason: Instruction limit
% 22.15/6.03 % (4056537)Termination phase: Saturation
% 22.15/6.03 % (4056537)Time elapsed: 0.256 s
% 22.15/6.03 % (4056537)Peak memory usage: 142 MB
% 22.15/6.03 % (4056537)Instructions burned: 326 (million)
% 22.15/6.03 % (4056546)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3646020806:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 22.15/6.04 % (4056548)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2848789592:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 22.15/6.04 % (4056546)Instruction limit reached!
% 22.15/6.04 % (4056546)------------------------------
% 22.15/6.04 % (4056546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.15/6.04 % (4056546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/6.04 % (4056546)CaDiCaL version: 2.1.3
% 22.15/6.04 % (4056546)Termination reason: Instruction limit
% 22.15/6.04 % (4056546)Termination phase: SInE selection
% 22.15/6.04 % (4056546)Time elapsed: 0.090 s
% 22.15/6.04 % (4056546)Peak memory usage: 136 MB
% 22.15/6.04 % (4056546)Instructions burned: 114 (million)
% 22.15/6.04 % (4056549)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3012326607:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2971 on theBenchmark for (2971ds/114Mi)
% 22.15/6.04 % (4056548)Instruction limit reached!
% 22.15/6.04 % (4056548)------------------------------
% 22.15/6.04 % (4056548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/6.44 % (4056548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/6.44 % (4056548)CaDiCaL version: 2.1.3
% 14.00/6.44 % (4056548)Termination reason: Instruction limit
% 14.00/6.44 % (4056548)Termination phase: Preprocessing 1
% 14.00/6.44 % (4056548)Time elapsed: 0.057 s
% 14.00/6.44 % (4056548)Peak memory usage: 137 MB
% 14.00/6.44 % (4056548)Instructions burned: 128 (million)
% 14.00/6.44 % (4056549)Instruction limit reached!
% 14.00/6.44 % (4056549)------------------------------
% 14.00/6.44 % (4056549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/6.44 % (4056549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/6.44 % (4056549)CaDiCaL version: 2.1.3
% 14.00/6.44 % (4056549)Termination reason: Instruction limit
% 14.00/6.44 % (4056549)Termination phase: Property scanning
% 14.00/6.44 % (4056549)Time elapsed: 0.053 s
% 14.00/6.44 % (4056549)Peak memory usage: 136 MB
% 14.00/6.44 % (4056549)Instructions burned: 114 (million)
% 14.00/6.44 % (4056554)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3642332974:i=437:sd=1:aac=none:ss=included_2969 on theBenchmark for (2969ds/437Mi)
% 14.00/6.44 % (4056552)lrs+10_1_sil=8000:sp=occurrence:random_seed=457836666:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2969 on theBenchmark for (2969ds/907Mi)
% 14.00/6.44 % (4056555)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3781135990:i=5202:ss=axioms:sgt=16_2969 on theBenchmark for (2969ds/5202Mi)
% 14.00/6.44 % (4056554)Instruction limit reached!
% 14.00/6.44 % (4056554)------------------------------
% 14.00/6.44 % (4056554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/6.44 % (4056554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/6.44 % (4056554)CaDiCaL version: 2.1.3
% 14.00/6.44 % (4056554)Termination reason: Instruction limit
% 14.00/6.44 % (4056554)Termination phase: Saturation
% 14.00/6.44 % (4056554)Time elapsed: 0.173 s
% 14.00/6.44 % (4056554)Peak memory usage: 143 MB
% 14.00/6.44 % (4056554)Instructions burned: 439 (million)
% 14.00/6.44 % (4056559)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2280947581:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2966 on theBenchmark for (2966ds/134Mi)
% 14.00/6.44 % (4056559)Instruction limit reached!
% 14.00/6.44 % (4056559)------------------------------
% 14.00/6.44 % (4056559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/6.44 % (4056559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/6.44 % (4056559)CaDiCaL version: 2.1.3
% 14.00/6.44 % (4056559)Termination reason: Instruction limit
% 14.00/6.44 % (4056559)Termination phase: SInE selection
% 14.00/6.44 % (4056559)Time elapsed: 0.058 s
% 14.00/6.44 % (4056559)Peak memory usage: 136 MB
% 14.00/6.44 % (4056559)Instructions burned: 136 (million)
% 14.00/6.44 % (4056561)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3459801681:st=8:i=592:sd=3:ep=RST:ss=axioms_2964 on theBenchmark for (2964ds/592Mi)
% 14.00/6.44 % (4056552)Instruction limit reached!
% 14.00/6.44 % (4056552)------------------------------
% 14.00/6.44 % (4056552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/6.44 % (4056552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/6.44 % (4056552)CaDiCaL version: 2.1.3
% 14.00/6.44 % (4056552)Termination reason: Instruction limit
% 14.00/6.44 % (4056552)Termination phase: Property scanning
% 14.00/6.44 % (4056552)Time elapsed: 0.603 s
% 14.00/6.44 % (4056552)Peak memory usage: 158 MB
% 14.00/6.44 % (4056552)Instructions burned: 907 (million)
% 14.00/6.44 % (4056561)Instruction limit reached!
% 14.00/6.44 % (4056561)------------------------------
% 14.00/6.44 % (4056561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/6.44 % (4056561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/6.44 % (4056561)CaDiCaL version: 2.1.3
% 14.00/6.44 % (4056561)Termination reason: Instruction limit
% 14.00/6.44 % (4056561)Termination phase: Naming
% 14.00/6.44 % (4056561)Time elapsed: 0.275 s
% 14.00/6.44 % (4056561)Peak memory usage: 154 MB
% 14.00/6.44 % (4056561)Instructions burned: 594 (million)
% 14.00/6.44 % (4056563)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1982631280:st=3:i=13193:sd=3:ss=axioms_2962 on theBenchmark for (2962ds/13193Mi)
% 14.00/6.44 % (4056565)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=2142204426:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/125Mi)
% 14.00/6.44 % (4056565)Instruction limit reached!
% 14.00/6.44 % (4056565)------------------------------
% 14.00/6.44 % (4056565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/6.44 % (4056565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/6.44 % (4056565)CaDiCaL version: 2.1.3
% 14.00/6.44 % (4056565)Termination reason: Instruction limit
% 14.00/6.44 % (4056565)Termination phase: Property scanning
% 14.00/6.44 % (4056565)Time elapsed: 0.032 s
% 14.00/6.44 % (4056565)Peak memory usage: 136 MB
% 14.00/6.44 % (4056565)Instructions burned: 130 (million)
% 14.00/6.44 % (4056567)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=506480529:i=134:gtgl=5:slsql=off:gtg=exists_sym_2958 on theBenchmark for (2958ds/134Mi)
% 14.00/6.44 % (4056567)Instruction limit reached!
% 14.00/6.44 % (4056567)------------------------------
% 14.00/6.44 % (4056567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/6.44 % (4056567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/6.44 % (4056567)CaDiCaL version: 2.1.3
% 14.00/6.44 % (4056567)Termination reason: Instruction limit
% 14.00/6.44 % (4056567)Termination phase: Property scanning
% 14.00/6.44 % (4056567)Time elapsed: 0.033 s
% 14.00/6.44 % (4056567)Peak memory usage: 136 MB
% 14.00/6.44 % (4056567)Instructions burned: 135 (million)
% 14.00/6.44 % (4056544)Instruction limit reached!
% 14.00/6.44 % (4056544)------------------------------
% 14.00/6.44 % (4056544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/6.44 % (4056544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/6.44 % (4056544)CaDiCaL version: 2.1.3
% 14.00/6.44 % (4056544)Termination reason: Instruction limit
% 14.00/6.44 % (4056544)Termination phase: Property scanning
% 14.00/6.44 % (4056544)Time elapsed: 1.574 s
% 14.00/6.44 % (4056544)Peak memory usage: 233 MB
% 14.00/6.44 % (4056544)Instructions burned: 2352 (million)
% 14.00/6.44 % (4056569)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3674701980:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/141Mi)
% 14.00/6.44 % (4056569)Instruction limit reached!
% 14.00/6.44 % (4056569)------------------------------
% 14.00/6.44 % (4056569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/6.44 % (4056569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/6.44 % (4056569)CaDiCaL version: 2.1.3
% 14.00/6.44 % (4056569)Termination reason: Instruction limit
% 14.00/6.44 % (4056569)Termination phase: SInE selection
% 14.00/6.44 % (4056569)Time elapsed: 0.060 s
% 14.00/6.44 % (4056569)Peak memory usage: 136 MB
% 14.00/6.44 % (4056569)Instructions burned: 143 (million)
% 14.00/6.44 % (4056571)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3303630919:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2955 on theBenchmark for (2955ds/431Mi)
% 14.00/6.44 % (4056572)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=3106178867:i=6060:aac=none:ins=25_2955 on theBenchmark for (2955ds/6060Mi)
% 14.00/6.44 % (4056571)Instruction limit reached!
% 14.00/6.44 % (4056571)------------------------------
% 14.00/6.44 % (4056571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/6.44 % (4056571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/6.44 % (4056571)CaDiCaL version: 2.1.3
% 14.00/6.44 % (4056571)Termination reason: Instruction limit
% 14.00/6.44 % (4056571)Termination phase: Saturation
% 14.00/6.44 % (4056571)Time elapsed: 0.306 s
% 14.00/6.44 % (4056571)Peak memory usage: 144 MB
% 14.00/6.44 % (4056571)Instructions burned: 432 (million)
% 14.00/6.44 % (4056575)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=3084614762:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2951 on theBenchmark for (2951ds/150Mi)
% 14.00/6.44 % (4056575)Instruction limit reached!
% 14.00/6.44 % (4056575)------------------------------
% 14.00/6.44 % (4056575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/6.44 % (4056575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/6.44 % (4056575)CaDiCaL version: 2.1.3
% 14.00/6.44 % (4056575)Termination reason: Instruction limit
% 14.00/6.44 % (4056575)Termination phase: SInE selection
% 14.00/6.44 % (4056575)Time elapsed: 0.116 s
% 14.00/6.44 % (4056575)Peak memory usage: 136 MB
% 14.00/6.44 % (4056575)Instructions burned: 151 (million)
% 14.00/6.44 % (4056523)First to succeed.
% 14.00/6.44 % (4056523)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4056516"
% 14.00/6.44 % (4056577)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4013081510:i=14155:bd=all_2948 on theBenchmark for (2948ds/14155Mi)
% 14.00/6.44 % (4056523)Refutation found. Thanks to Tanya!
% 14.00/6.44 % SZS status Theorem for theBenchmark
% 14.00/6.44 % SZS output start Proof for theBenchmark
% See solution above
% 26.75/6.68 % (4056523)------------------------------
% 26.75/6.68 % (4056523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.75/6.68 % (4056523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.75/6.68 % (4056523)CaDiCaL version: 2.1.3
% 26.75/6.68 % (4056523)Termination reason: Refutation
% 26.75/6.68 % (4056523)Time elapsed: 2.881 s
% 26.75/6.68 % (4056523)Peak memory usage: 215 MB
% 26.75/6.68 % (4056523)Instructions burned: 4682 (million)
% 26.75/6.68 % (4056523)------------------------------
% 26.75/6.68 % (4056523)------------------------------
% 26.75/6.68 % (4056516)Success in time 5.581 s
% 26.75/6.68 % Vampire exiting
%------------------------------------------------------------------------------