%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT299+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 11:46:40 AM UTC 2026
% Result : Theorem 64.77s 10.59s
% Output : Refutation 65.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 50
% Syntax : Number of formulae : 373 ( 78 unt; 41 def)
% Number of atoms : 2097 ( 145 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 2961 (1237 ~;1542 |; 109 &)
% ( 40 <=>; 31 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 43 ( 41 usr; 34 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 11 con; 0-3 aty)
% Number of variables : 243 ( 0 sgn 223 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f9391,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f9427,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
=> ( ( X1 = X3
& X2 = X4 )
=> ( k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4)
& k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_lattice2) ).
fof(f12317,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f13532,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f13581,axiom,
! [X0] :
( l3_lattices(X0)
=> ! [X1] :
( l3_lattices(X1)
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> k1_lattice2(X0) = k1_lattice2(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_filter_2) ).
fof(f13591,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( m2_filter_2(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(k3_lattices(X0,X2,X3),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_filter_2) ).
fof(f13592,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))) )
=> ( ! [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(k3_lattices(X0,X2,X3),X1) ) ) )
=> m2_filter_2(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_filter_2) ).
fof(f13594,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] :
( m2_filter_2(X2,X0)
=> m2_filter_2(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_filter_2) ).
fof(f13595,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] :
( m2_filter_2(X2,X0)
=> m2_filter_2(X2,X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13594]) ).
fof(f13682,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13532]) ).
fof(f13683,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,[],[f13682]) ).
fof(f13769,plain,
! [X0] :
( ! [X1] :
( k1_lattice2(X0) = k1_lattice2(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13581]) ).
fof(f13770,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,[],[f13769]) ).
fof(f13787,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
<=> ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<=> r2_hidden(k3_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)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13591]) ).
fof(f13788,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
<=> ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<=> r2_hidden(k3_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)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13787]) ).
fof(f13789,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<~> r2_hidden(k3_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,[],[f13592]) ).
fof(f13790,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<~> r2_hidden(k3_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,[],[f13789]) ).
fof(f13793,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m2_filter_2(X2,X1)
& m2_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,[],[f13595]) ).
fof(f13794,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m2_filter_2(X2,X1)
& m2_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,[],[f13793]) ).
fof(f13802,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f13805,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12317]) ).
fof(f13806,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,[],[f13805]) ).
fof(f13908,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4)
& k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0))) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9427]) ).
fof(f13909,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,[],[f13908]) ).
fof(f13912,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9391]) ).
fof(f13913,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,[],[f13912]) ).
fof(f14146,plain,
! [X0] :
( ! [X1] :
( ( ( m2_filter_2(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k3_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(k3_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(k3_lattices(X0,X2,X3),X1) )
& ( r2_hidden(k3_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)) )
| ~ m2_filter_2(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13788]) ).
fof(f14147,plain,
! [X0] :
( ! [X1] :
( ( ( m2_filter_2(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k3_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(k3_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(k3_lattices(X0,X2,X3),X1) )
& ( r2_hidden(k3_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)) )
| ~ m2_filter_2(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14146]) ).
fof(f14148,plain,
! [X0] :
( ! [X1] :
( ( ( m2_filter_2(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k3_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(k3_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(k3_lattices(X0,X4,X5),X1) )
& ( r2_hidden(k3_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)) )
| ~ m2_filter_2(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f14147]) ).
fof(f14149,plain,
! [X0] :
( ! [X1] :
( ( ( m2_filter_2(X1,X0)
| ( ( ~ r2_hidden(k3_lattices(X0,sK12(X0,X1),sK13(X0,X1)),X1)
| ~ r2_hidden(sK12(X0,X1),X1)
| ~ r2_hidden(sK13(X0,X1),X1) )
& ( r2_hidden(k3_lattices(X0,sK12(X0,X1),sK13(X0,X1)),X1)
| ( r2_hidden(sK12(X0,X1),X1)
& r2_hidden(sK13(X0,X1),X1) ) )
& m1_subset_1(sK13(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK12(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( ( ( ( r2_hidden(X4,X1)
& r2_hidden(X5,X1) )
| ~ r2_hidden(k3_lattices(X0,X4,X5),X1) )
& ( r2_hidden(k3_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)) )
| ~ m2_filter_2(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X2,sK12(X0,X1)),skolemize(X3,sK13(X0,X1))],[f14148]) ).
fof(f14150,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k3_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(k3_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)) )
| 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,[],[f13790]) ).
fof(f14151,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k3_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(k3_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)) )
| 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,[],[f14150]) ).
fof(f14152,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
| ( ( ~ r2_hidden(k3_lattices(X0,sK14(X0,X1),sK15(X0,X1)),X1)
| ~ r2_hidden(sK14(X0,X1),X1)
| ~ r2_hidden(sK15(X0,X1),X1) )
& ( r2_hidden(k3_lattices(X0,sK14(X0,X1),sK15(X0,X1)),X1)
| ( r2_hidden(sK14(X0,X1),X1)
& r2_hidden(sK15(X0,X1),X1) ) )
& m1_subset_1(sK15(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK14(X0,X1),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(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X2,sK14(X0,X1)),skolemize(X3,sK15(X0,X1))],[f14151]) ).
fof(f14153,plain,
( ~ m2_filter_2(sK18,sK17)
& m2_filter_2(sK18,sK16)
& g3_lattices(u1_struct_0(sK16),u2_lattices(sK16),u1_lattices(sK16)) = g3_lattices(u1_struct_0(sK17),u2_lattices(sK17),u1_lattices(sK17))
& ~ v3_struct_0(sK17)
& v10_lattices(sK17)
& l3_lattices(sK17)
& ~ v3_struct_0(sK16)
& v10_lattices(sK16)
& l3_lattices(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18]),skolemize(X0,sK16),skolemize(X1,sK17),skolemize(X2,sK18)],[f13794]) ).
fof(f14270,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,[],[f13683]) ).
fof(f14271,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13683]) ).
fof(f14324,plain,
! [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)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13770]) ).
fof(f14344,plain,
! [X0,X1,X4,X5] :
( r2_hidden(k3_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))
| ~ m2_filter_2(X1,X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14149]) ).
fof(f14345,plain,
! [X0,X1,X4,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(k3_lattices(X0,X4,X5),X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_filter_2(X1,X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14149]) ).
fof(f14346,plain,
! [X0,X1,X4,X5] :
( r2_hidden(X4,X1)
| ~ r2_hidden(k3_lattices(X0,X4,X5),X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_filter_2(X1,X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14149]) ).
fof(f14352,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| m1_subset_1(sK14(X0,X1),u1_struct_0(X0))
| m2_filter_2(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,[],[f14152]) ).
fof(f14353,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| m1_subset_1(sK15(X0,X1),u1_struct_0(X0))
| m2_filter_2(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,[],[f14152]) ).
fof(f14354,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(k3_lattices(X0,sK14(X0,X1),sK15(X0,X1)),X1)
| r2_hidden(sK15(X0,X1),X1)
| m2_filter_2(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,[],[f14152]) ).
fof(f14355,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(k3_lattices(X0,sK14(X0,X1),sK15(X0,X1)),X1)
| r2_hidden(sK14(X0,X1),X1)
| m2_filter_2(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,[],[f14152]) ).
fof(f14356,plain,
! [X0,X1] :
( m2_filter_2(X1,X0)
| ~ r2_hidden(k3_lattices(X0,sK14(X0,X1),sK15(X0,X1)),X1)
| ~ r2_hidden(sK14(X0,X1),X1)
| ~ r2_hidden(sK15(X0,X1),X1)
| 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,[],[f14152]) ).
fof(f14358,plain,
l3_lattices(sK16),
inference(cnf_transformation,[],[f14153]) ).
fof(f14359,plain,
v10_lattices(sK16),
inference(cnf_transformation,[],[f14153]) ).
fof(f14360,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f14153]) ).
fof(f14361,plain,
l3_lattices(sK17),
inference(cnf_transformation,[],[f14153]) ).
fof(f14362,plain,
v10_lattices(sK17),
inference(cnf_transformation,[],[f14153]) ).
fof(f14363,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f14153]) ).
fof(f14364,plain,
g3_lattices(u1_struct_0(sK16),u2_lattices(sK16),u1_lattices(sK16)) = g3_lattices(u1_struct_0(sK17),u2_lattices(sK17),u1_lattices(sK17)),
inference(cnf_transformation,[],[f14153]) ).
fof(f14365,plain,
m2_filter_2(sK18,sK16),
inference(cnf_transformation,[],[f14153]) ).
fof(f14366,plain,
~ m2_filter_2(sK18,sK17),
inference(cnf_transformation,[],[f14153]) ).
fof(f14380,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f13802]) ).
fof(f14385,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13806]) ).
fof(f14482,plain,
! [X2,X3,X0,X1,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(cnf_transformation,[],[f13909]) ).
fof(f14487,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f13913]) ).
fof(f14848,plain,
! [X2,X3,X0,X4] :
( k3_lattices(X0,X3,X2) = k4_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(X3,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f14482]) ).
fof(f14849,plain,
! [X3,X0,X4] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| v3_struct_0(X0)
| k4_lattices(k1_lattice2(X0),X3,X4) = k3_lattices(X0,X3,X4)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f14848]) ).
fof(f14861,definition,
sF82 = u1_struct_0(sK16),
introduced(definition,[new_symbols(definition,[sF82])],[function_definition]) ).
fof(f14862,plain,
u1_struct_0(sK16) = sF82,
inference(reorient_equations,[],[f14861]) ).
fof(f14863,definition,
sF83 = u2_lattices(sK16),
introduced(definition,[new_symbols(definition,[sF83])],[function_definition]) ).
fof(f14864,plain,
u2_lattices(sK16) = sF83,
inference(reorient_equations,[],[f14863]) ).
fof(f14865,definition,
sF84 = u1_lattices(sK16),
introduced(definition,[new_symbols(definition,[sF84])],[function_definition]) ).
fof(f14866,plain,
u1_lattices(sK16) = sF84,
inference(reorient_equations,[],[f14865]) ).
fof(f14867,definition,
sF85 = g3_lattices(sF82,sF83,sF84),
introduced(definition,[new_symbols(definition,[sF85])],[function_definition]) ).
fof(f14868,plain,
g3_lattices(sF82,sF83,sF84) = sF85,
inference(reorient_equations,[],[f14867]) ).
fof(f14869,definition,
sF86 = u1_struct_0(sK17),
introduced(definition,[new_symbols(definition,[sF86])],[function_definition]) ).
fof(f14870,plain,
u1_struct_0(sK17) = sF86,
inference(reorient_equations,[],[f14869]) ).
fof(f14871,definition,
sF87 = u2_lattices(sK17),
introduced(definition,[new_symbols(definition,[sF87])],[function_definition]) ).
fof(f14872,plain,
u2_lattices(sK17) = sF87,
inference(reorient_equations,[],[f14871]) ).
fof(f14873,definition,
sF88 = u1_lattices(sK17),
introduced(definition,[new_symbols(definition,[sF88])],[function_definition]) ).
fof(f14874,plain,
u1_lattices(sK17) = sF88,
inference(reorient_equations,[],[f14873]) ).
fof(f14875,definition,
sF89 = g3_lattices(sF86,sF87,sF88),
introduced(definition,[new_symbols(definition,[sF89])],[function_definition]) ).
fof(f14876,plain,
g3_lattices(sF86,sF87,sF88) = sF89,
inference(reorient_equations,[],[f14875]) ).
fof(f14877,plain,
sF85 = sF89,
inference(definition_folding,[],[f14364,f14876,f14874,f14872,f14870,f14868,f14866,f14864,f14862]) ).
fof(f15240,definition,
( spl90_68
<=> l3_lattices(sK16) ),
introduced(definition,[new_symbols(definition,[spl90_68])],[avatar_definition]) ).
fof(f15242,plain,
( l3_lattices(sK16)
| ~ spl90_68 ),
inference(avatar_component_clause,[],[f15240]) ).
fof(f15243,plain,
spl90_68,
inference(avatar_split_clause,[],[f14358,f15240]) ).
fof(f15245,definition,
( spl90_69
<=> v10_lattices(sK16) ),
introduced(definition,[new_symbols(definition,[spl90_69])],[avatar_definition]) ).
fof(f15247,plain,
( v10_lattices(sK16)
| ~ spl90_69 ),
inference(avatar_component_clause,[],[f15245]) ).
fof(f15248,plain,
spl90_69,
inference(avatar_split_clause,[],[f14359,f15245]) ).
fof(f15250,definition,
( spl90_70
<=> v3_struct_0(sK16) ),
introduced(definition,[new_symbols(definition,[spl90_70])],[avatar_definition]) ).
fof(f15252,plain,
( ~ v3_struct_0(sK16)
| spl90_70 ),
inference(avatar_component_clause,[],[f15250]) ).
fof(f15253,plain,
~ spl90_70,
inference(avatar_split_clause,[],[f14360,f15250]) ).
fof(f15255,definition,
( spl90_71
<=> l3_lattices(sK17) ),
introduced(definition,[new_symbols(definition,[spl90_71])],[avatar_definition]) ).
fof(f15257,plain,
( l3_lattices(sK17)
| ~ spl90_71 ),
inference(avatar_component_clause,[],[f15255]) ).
fof(f15258,plain,
spl90_71,
inference(avatar_split_clause,[],[f14361,f15255]) ).
fof(f15260,definition,
( spl90_72
<=> v10_lattices(sK17) ),
introduced(definition,[new_symbols(definition,[spl90_72])],[avatar_definition]) ).
fof(f15262,plain,
( v10_lattices(sK17)
| ~ spl90_72 ),
inference(avatar_component_clause,[],[f15260]) ).
fof(f15263,plain,
spl90_72,
inference(avatar_split_clause,[],[f14362,f15260]) ).
fof(f15265,definition,
( spl90_73
<=> v3_struct_0(sK17) ),
introduced(definition,[new_symbols(definition,[spl90_73])],[avatar_definition]) ).
fof(f15267,plain,
( ~ v3_struct_0(sK17)
| spl90_73 ),
inference(avatar_component_clause,[],[f15265]) ).
fof(f15268,plain,
~ spl90_73,
inference(avatar_split_clause,[],[f14363,f15265]) ).
fof(f15270,definition,
( spl90_74
<=> sF85 = sF89 ),
introduced(definition,[new_symbols(definition,[spl90_74])],[avatar_definition]) ).
fof(f15272,plain,
( sF85 = sF89
| ~ spl90_74 ),
inference(avatar_component_clause,[],[f15270]) ).
fof(f15273,plain,
spl90_74,
inference(avatar_split_clause,[],[f14877,f15270]) ).
fof(f15275,definition,
( spl90_75
<=> m2_filter_2(sK18,sK16) ),
introduced(definition,[new_symbols(definition,[spl90_75])],[avatar_definition]) ).
fof(f15277,plain,
( m2_filter_2(sK18,sK16)
| ~ spl90_75 ),
inference(avatar_component_clause,[],[f15275]) ).
fof(f15278,plain,
spl90_75,
inference(avatar_split_clause,[],[f14365,f15275]) ).
fof(f15280,definition,
( spl90_76
<=> m2_filter_2(sK18,sK17) ),
introduced(definition,[new_symbols(definition,[spl90_76])],[avatar_definition]) ).
fof(f15282,plain,
( ~ m2_filter_2(sK18,sK17)
| spl90_76 ),
inference(avatar_component_clause,[],[f15280]) ).
fof(f15283,plain,
~ spl90_76,
inference(avatar_split_clause,[],[f14366,f15280]) ).
fof(f15284,plain,
! [X0,X1] :
( ~ r2_hidden(sK15(X0,X1),X1)
| ~ r2_hidden(k3_lattices(X0,sK14(X0,X1),sK15(X0,X1)),X1)
| ~ r2_hidden(sK14(X0,X1),X1)
| m2_filter_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f14356,f14380]) ).
fof(f15285,plain,
! [X0,X1,X4,X5] :
( r2_hidden(k3_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))
| ~ m2_filter_2(X1,X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f14344,f14380]) ).
fof(f15286,plain,
! [X0,X1,X4,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(k3_lattices(X0,X4,X5),X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_filter_2(X1,X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f14345,f14380]) ).
fof(f15287,plain,
! [X0,X1,X4,X5] :
( r2_hidden(X4,X1)
| ~ r2_hidden(k3_lattices(X0,X4,X5),X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_filter_2(X1,X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f14346,f14380]) ).
fof(f15293,definition,
( spl90_77
<=> u1_struct_0(sK16) = sF82 ),
introduced(definition,[new_symbols(definition,[spl90_77])],[avatar_definition]) ).
fof(f15295,plain,
( u1_struct_0(sK16) = sF82
| ~ spl90_77 ),
inference(avatar_component_clause,[],[f15293]) ).
fof(f15296,plain,
spl90_77,
inference(avatar_split_clause,[],[f14862,f15293]) ).
fof(f15298,definition,
( spl90_78
<=> u2_lattices(sK16) = sF83 ),
introduced(definition,[new_symbols(definition,[spl90_78])],[avatar_definition]) ).
fof(f15300,plain,
( u2_lattices(sK16) = sF83
| ~ spl90_78 ),
inference(avatar_component_clause,[],[f15298]) ).
fof(f15301,plain,
spl90_78,
inference(avatar_split_clause,[],[f14864,f15298]) ).
fof(f15303,definition,
( spl90_79
<=> u1_lattices(sK16) = sF84 ),
introduced(definition,[new_symbols(definition,[spl90_79])],[avatar_definition]) ).
fof(f15305,plain,
( u1_lattices(sK16) = sF84
| ~ spl90_79 ),
inference(avatar_component_clause,[],[f15303]) ).
fof(f15306,plain,
spl90_79,
inference(avatar_split_clause,[],[f14866,f15303]) ).
fof(f15308,definition,
( spl90_80
<=> g3_lattices(sF82,sF83,sF84) = sF85 ),
introduced(definition,[new_symbols(definition,[spl90_80])],[avatar_definition]) ).
fof(f15310,plain,
( g3_lattices(sF82,sF83,sF84) = sF85
| ~ spl90_80 ),
inference(avatar_component_clause,[],[f15308]) ).
fof(f15311,plain,
spl90_80,
inference(avatar_split_clause,[],[f14868,f15308]) ).
fof(f15313,definition,
( spl90_81
<=> u1_struct_0(sK17) = sF86 ),
introduced(definition,[new_symbols(definition,[spl90_81])],[avatar_definition]) ).
fof(f15315,plain,
( u1_struct_0(sK17) = sF86
| ~ spl90_81 ),
inference(avatar_component_clause,[],[f15313]) ).
fof(f15316,plain,
spl90_81,
inference(avatar_split_clause,[],[f14870,f15313]) ).
fof(f15318,definition,
( spl90_82
<=> u2_lattices(sK17) = sF87 ),
introduced(definition,[new_symbols(definition,[spl90_82])],[avatar_definition]) ).
fof(f15320,plain,
( u2_lattices(sK17) = sF87
| ~ spl90_82 ),
inference(avatar_component_clause,[],[f15318]) ).
fof(f15321,plain,
spl90_82,
inference(avatar_split_clause,[],[f14872,f15318]) ).
fof(f15323,definition,
( spl90_83
<=> u1_lattices(sK17) = sF88 ),
introduced(definition,[new_symbols(definition,[spl90_83])],[avatar_definition]) ).
fof(f15325,plain,
( u1_lattices(sK17) = sF88
| ~ spl90_83 ),
inference(avatar_component_clause,[],[f15323]) ).
fof(f15326,plain,
spl90_83,
inference(avatar_split_clause,[],[f14874,f15323]) ).
fof(f15328,definition,
( spl90_84
<=> g3_lattices(sF86,sF87,sF88) = sF89 ),
introduced(definition,[new_symbols(definition,[spl90_84])],[avatar_definition]) ).
fof(f15330,plain,
( g3_lattices(sF86,sF87,sF88) = sF89
| ~ spl90_84 ),
inference(avatar_component_clause,[],[f15328]) ).
fof(f15331,plain,
spl90_84,
inference(avatar_split_clause,[],[f14876,f15328]) ).
fof(f15335,plain,
! [X0,X1,X4,X5] :
( r2_hidden(k3_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))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f15285,f14270]) ).
fof(f15336,plain,
! [X0,X1,X4,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(k3_lattices(X0,X4,X5),X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f15286,f14270]) ).
fof(f15337,plain,
! [X0,X1,X4,X5] :
( ~ r2_hidden(k3_lattices(X0,X4,X5),X1)
| r2_hidden(X4,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f15287,f14270]) ).
fof(f15343,plain,
( sF85 = g3_lattices(sF86,sF87,sF88)
| ~ spl90_74
| ~ spl90_84 ),
inference(forward_demodulation,[],[f15330,f15272]) ).
fof(f15345,definition,
( spl90_85
<=> sF85 = g3_lattices(sF86,sF87,sF88) ),
introduced(definition,[new_symbols(definition,[spl90_85])],[avatar_definition]) ).
fof(f15347,plain,
( sF85 = g3_lattices(sF86,sF87,sF88)
| ~ spl90_85 ),
inference(avatar_component_clause,[],[f15345]) ).
fof(f15348,plain,
( spl90_85
| ~ spl90_74
| ~ spl90_84 ),
inference(avatar_split_clause,[],[f15343,f15328,f15270,f15345]) ).
fof(f15483,plain,
( ! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK16),u2_lattices(sK16),u1_lattices(sK16))
| k1_lattice2(X0) = k1_lattice2(sK16)
| ~ l3_lattices(X0) )
| ~ spl90_68 ),
inference(resolution,[],[f14324,f15242]) ).
fof(f15486,plain,
( ! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK16),u2_lattices(sK16),sF84)
| k1_lattice2(X0) = k1_lattice2(sK16)
| ~ l3_lattices(X0) )
| ~ spl90_68
| ~ spl90_79 ),
inference(forward_demodulation,[],[f15483,f15305]) ).
fof(f15488,plain,
( ! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK16),sF83,sF84)
| k1_lattice2(X0) = k1_lattice2(sK16)
| ~ l3_lattices(X0) )
| ~ spl90_68
| ~ spl90_78
| ~ spl90_79 ),
inference(forward_demodulation,[],[f15486,f15300]) ).
fof(f15490,plain,
( ! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(sF82,sF83,sF84)
| k1_lattice2(X0) = k1_lattice2(sK16)
| ~ l3_lattices(X0) )
| ~ spl90_68
| ~ spl90_77
| ~ spl90_78
| ~ spl90_79 ),
inference(forward_demodulation,[],[f15488,f15295]) ).
fof(f15492,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = k1_lattice2(sK16)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != sF85 )
| ~ spl90_68
| ~ spl90_77
| ~ spl90_78
| ~ spl90_79
| ~ spl90_80 ),
inference(forward_demodulation,[],[f15490,f15310]) ).
fof(f15494,plain,
( k1_lattice2(sK16) = k1_lattice2(sK17)
| g3_lattices(u1_struct_0(sK17),u2_lattices(sK17),u1_lattices(sK17)) != sF85
| ~ spl90_68
| ~ spl90_71
| ~ spl90_77
| ~ spl90_78
| ~ spl90_79
| ~ spl90_80 ),
inference(resolution,[],[f15492,f15257]) ).
fof(f15495,plain,
( sF85 != g3_lattices(u1_struct_0(sK17),u2_lattices(sK17),sF88)
| k1_lattice2(sK16) = k1_lattice2(sK17)
| ~ spl90_68
| ~ spl90_71
| ~ spl90_77
| ~ spl90_78
| ~ spl90_79
| ~ spl90_80
| ~ spl90_83 ),
inference(forward_demodulation,[],[f15494,f15325]) ).
fof(f15496,plain,
( sF85 != g3_lattices(u1_struct_0(sK17),sF87,sF88)
| k1_lattice2(sK16) = k1_lattice2(sK17)
| ~ spl90_68
| ~ spl90_71
| ~ spl90_77
| ~ spl90_78
| ~ spl90_79
| ~ spl90_80
| ~ spl90_82
| ~ spl90_83 ),
inference(forward_demodulation,[],[f15495,f15320]) ).
fof(f15497,plain,
( sF85 != g3_lattices(sF86,sF87,sF88)
| k1_lattice2(sK16) = k1_lattice2(sK17)
| ~ spl90_68
| ~ spl90_71
| ~ spl90_77
| ~ spl90_78
| ~ spl90_79
| ~ spl90_80
| ~ spl90_81
| ~ spl90_82
| ~ spl90_83 ),
inference(forward_demodulation,[],[f15496,f15315]) ).
fof(f15498,plain,
( k1_lattice2(sK16) = k1_lattice2(sK17)
| ~ spl90_68
| ~ spl90_71
| ~ spl90_77
| ~ spl90_78
| ~ spl90_79
| ~ spl90_80
| ~ spl90_81
| ~ spl90_82
| ~ spl90_83
| ~ spl90_85 ),
inference(forward_subsumption_resolution,[],[f15497,f15347]) ).
fof(f15500,definition,
( spl90_96
<=> k1_lattice2(sK16) = k1_lattice2(sK17) ),
introduced(definition,[new_symbols(definition,[spl90_96])],[avatar_definition]) ).
fof(f15502,plain,
( k1_lattice2(sK16) = k1_lattice2(sK17)
| ~ spl90_96 ),
inference(avatar_component_clause,[],[f15500]) ).
fof(f15503,plain,
( spl90_96
| ~ spl90_68
| ~ spl90_71
| ~ spl90_77
| ~ spl90_78
| ~ spl90_79
| ~ spl90_80
| ~ spl90_81
| ~ spl90_82
| ~ spl90_83
| ~ spl90_85 ),
inference(avatar_split_clause,[],[f15498,f15345,f15323,f15318,f15313,f15308,f15303,f15298,f15293,f15255,f15240,f15500]) ).
fof(f15585,plain,
( m2_lattice4(sK18,sK16)
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75 ),
inference(unit_resulting_resolution,[],[f14270,f15242,f15247,f15252,f15277]) ).
fof(f15587,definition,
( spl90_103
<=> m2_lattice4(sK18,sK16) ),
introduced(definition,[new_symbols(definition,[spl90_103])],[avatar_definition]) ).
fof(f15589,plain,
( m2_lattice4(sK18,sK16)
| ~ spl90_103 ),
inference(avatar_component_clause,[],[f15587]) ).
fof(f15590,plain,
( spl90_103
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75 ),
inference(avatar_split_clause,[],[f15585,f15275,f15250,f15245,f15240,f15587]) ).
fof(f15591,plain,
( m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK16)))
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_103 ),
inference(unit_resulting_resolution,[],[f14385,f15242,f15247,f15252,f15589]) ).
fof(f15596,plain,
( m1_subset_1(sK18,k1_zfmisc_1(sF82))
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_77
| ~ spl90_103 ),
inference(forward_demodulation,[],[f15591,f15295]) ).
fof(f15600,definition,
( spl90_104
<=> m1_subset_1(sK18,k1_zfmisc_1(sF82)) ),
introduced(definition,[new_symbols(definition,[spl90_104])],[avatar_definition]) ).
fof(f15602,plain,
( m1_subset_1(sK18,k1_zfmisc_1(sF82))
| ~ spl90_104 ),
inference(avatar_component_clause,[],[f15600]) ).
fof(f15603,plain,
( spl90_104
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_77
| ~ spl90_103 ),
inference(avatar_split_clause,[],[f15596,f15587,f15293,f15250,f15245,f15240,f15600]) ).
fof(f15607,plain,
( u1_struct_0(sK16) = u1_struct_0(k1_lattice2(sK16))
| ~ spl90_68
| spl90_70 ),
inference(unit_resulting_resolution,[],[f14487,f15242,f15252]) ).
fof(f15608,plain,
( u1_struct_0(sK17) = u1_struct_0(k1_lattice2(sK17))
| ~ spl90_71
| spl90_73 ),
inference(unit_resulting_resolution,[],[f14487,f15257,f15267]) ).
fof(f15613,plain,
( sF82 = u1_struct_0(k1_lattice2(sK16))
| ~ spl90_68
| spl90_70
| ~ spl90_77 ),
inference(forward_demodulation,[],[f15607,f15295]) ).
fof(f15614,plain,
( u1_struct_0(sK17) = u1_struct_0(k1_lattice2(sK16))
| ~ spl90_71
| spl90_73
| ~ spl90_96 ),
inference(forward_demodulation,[],[f15608,f15502]) ).
fof(f15618,definition,
( spl90_105
<=> sF82 = u1_struct_0(k1_lattice2(sK16)) ),
introduced(definition,[new_symbols(definition,[spl90_105])],[avatar_definition]) ).
fof(f15620,plain,
( sF82 = u1_struct_0(k1_lattice2(sK16))
| ~ spl90_105 ),
inference(avatar_component_clause,[],[f15618]) ).
fof(f15621,plain,
( spl90_105
| ~ spl90_68
| spl90_70
| ~ spl90_77 ),
inference(avatar_split_clause,[],[f15613,f15293,f15250,f15240,f15618]) ).
fof(f15622,plain,
( sF86 = u1_struct_0(k1_lattice2(sK16))
| ~ spl90_71
| spl90_73
| ~ spl90_81
| ~ spl90_96 ),
inference(forward_demodulation,[],[f15614,f15315]) ).
fof(f15625,definition,
( spl90_106
<=> sF86 = u1_struct_0(k1_lattice2(sK16)) ),
introduced(definition,[new_symbols(definition,[spl90_106])],[avatar_definition]) ).
fof(f15627,plain,
( sF86 = u1_struct_0(k1_lattice2(sK16))
| ~ spl90_106 ),
inference(avatar_component_clause,[],[f15625]) ).
fof(f15628,plain,
( spl90_106
| ~ spl90_71
| spl90_73
| ~ spl90_81
| ~ spl90_96 ),
inference(avatar_split_clause,[],[f15622,f15500,f15313,f15265,f15255,f15625]) ).
fof(f15629,plain,
( sF82 = sF86
| ~ spl90_105
| ~ spl90_106 ),
inference(forward_demodulation,[],[f15627,f15620]) ).
fof(f15631,definition,
( spl90_107
<=> sF82 = sF86 ),
introduced(definition,[new_symbols(definition,[spl90_107])],[avatar_definition]) ).
fof(f15633,plain,
( sF82 = sF86
| ~ spl90_107 ),
inference(avatar_component_clause,[],[f15631]) ).
fof(f15634,plain,
( spl90_107
| ~ spl90_105
| ~ spl90_106 ),
inference(avatar_split_clause,[],[f15629,f15625,f15618,f15631]) ).
fof(f16249,plain,
( ~ v1_xboole_0(sK18)
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75 ),
inference(unit_resulting_resolution,[],[f14271,f15242,f15247,f15252,f15277]) ).
fof(f16253,definition,
( spl90_150
<=> v1_xboole_0(sK18) ),
introduced(definition,[new_symbols(definition,[spl90_150])],[avatar_definition]) ).
fof(f16255,plain,
( ~ v1_xboole_0(sK18)
| spl90_150 ),
inference(avatar_component_clause,[],[f16253]) ).
fof(f16256,plain,
( ~ spl90_150
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75 ),
inference(avatar_split_clause,[],[f16249,f15275,f15250,f15245,f15240,f16253]) ).
fof(f16462,plain,
( ! [X0] :
( m2_filter_2(sK18,X0)
| m1_subset_1(sK14(X0,sK18),u1_struct_0(X0))
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| spl90_150 ),
inference(resolution,[],[f14352,f16255]) ).
fof(f16463,plain,
( ! [X0] :
( m2_filter_2(sK18,X0)
| m1_subset_1(sK15(X0,sK18),u1_struct_0(X0))
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| spl90_150 ),
inference(resolution,[],[f14353,f16255]) ).
fof(f16467,plain,
( m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK17))
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl90_76
| spl90_150 ),
inference(resolution,[],[f16463,f15282]) ).
fof(f16470,plain,
( m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK17))
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl90_73
| spl90_76
| spl90_150 ),
inference(forward_subsumption_resolution,[],[f16467,f15267]) ).
fof(f16471,plain,
( m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK17))
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ l3_lattices(sK17)
| ~ spl90_72
| spl90_73
| spl90_76
| spl90_150 ),
inference(forward_subsumption_resolution,[],[f16470,f15262]) ).
fof(f16472,plain,
( m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK17))
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| spl90_150 ),
inference(forward_subsumption_resolution,[],[f16471,f15257]) ).
fof(f16473,plain,
( m1_subset_1(sK15(sK17,sK18),sF86)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| spl90_150 ),
inference(forward_demodulation,[],[f16472,f15315]) ).
fof(f16474,plain,
( m1_subset_1(sK15(sK17,sK18),sF82)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_107
| spl90_150 ),
inference(forward_demodulation,[],[f16473,f15633]) ).
fof(f16475,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(sF86))
| m1_subset_1(sK15(sK17,sK18),sF82)
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_107
| spl90_150 ),
inference(forward_demodulation,[],[f16474,f15315]) ).
fof(f16476,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(sF82))
| m1_subset_1(sK15(sK17,sK18),sF82)
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_107
| spl90_150 ),
inference(forward_demodulation,[],[f16475,f15633]) ).
fof(f16477,plain,
( m1_subset_1(sK15(sK17,sK18),sF82)
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| spl90_150 ),
inference(forward_subsumption_resolution,[],[f16476,f15602]) ).
fof(f16479,definition,
( spl90_164
<=> m1_subset_1(sK15(sK17,sK18),sF82) ),
introduced(definition,[new_symbols(definition,[spl90_164])],[avatar_definition]) ).
fof(f16481,plain,
( m1_subset_1(sK15(sK17,sK18),sF82)
| ~ spl90_164 ),
inference(avatar_component_clause,[],[f16479]) ).
fof(f16482,plain,
( spl90_164
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| spl90_150 ),
inference(avatar_split_clause,[],[f16477,f16253,f15631,f15600,f15313,f15280,f15265,f15260,f15255,f16479]) ).
fof(f16483,plain,
( m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK17))
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl90_76
| spl90_150 ),
inference(resolution,[],[f16462,f15282]) ).
fof(f16486,plain,
( m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK17))
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl90_73
| spl90_76
| spl90_150 ),
inference(forward_subsumption_resolution,[],[f16483,f15267]) ).
fof(f16487,plain,
( m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK17))
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ l3_lattices(sK17)
| ~ spl90_72
| spl90_73
| spl90_76
| spl90_150 ),
inference(forward_subsumption_resolution,[],[f16486,f15262]) ).
fof(f16488,plain,
( m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK17))
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| spl90_150 ),
inference(forward_subsumption_resolution,[],[f16487,f15257]) ).
fof(f16489,plain,
( m1_subset_1(sK14(sK17,sK18),sF86)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| spl90_150 ),
inference(forward_demodulation,[],[f16488,f15315]) ).
fof(f16490,plain,
( m1_subset_1(sK14(sK17,sK18),sF82)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_107
| spl90_150 ),
inference(forward_demodulation,[],[f16489,f15633]) ).
fof(f16491,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(sF86))
| m1_subset_1(sK14(sK17,sK18),sF82)
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_107
| spl90_150 ),
inference(forward_demodulation,[],[f16490,f15315]) ).
fof(f16492,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(sF82))
| m1_subset_1(sK14(sK17,sK18),sF82)
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_107
| spl90_150 ),
inference(forward_demodulation,[],[f16491,f15633]) ).
fof(f16493,plain,
( m1_subset_1(sK14(sK17,sK18),sF82)
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| spl90_150 ),
inference(forward_subsumption_resolution,[],[f16492,f15602]) ).
fof(f16495,definition,
( spl90_165
<=> m1_subset_1(sK14(sK17,sK18),sF82) ),
introduced(definition,[new_symbols(definition,[spl90_165])],[avatar_definition]) ).
fof(f16497,plain,
( m1_subset_1(sK14(sK17,sK18),sF82)
| ~ spl90_165 ),
inference(avatar_component_clause,[],[f16495]) ).
fof(f16498,plain,
( spl90_165
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| spl90_150 ),
inference(avatar_split_clause,[],[f16493,f16253,f15631,f15600,f15313,f15280,f15265,f15260,f15255,f16495]) ).
fof(f16597,plain,
( ! [X0] :
( r2_hidden(sK14(X0,sK18),sK18)
| r2_hidden(k3_lattices(X0,sK14(X0,sK18),sK15(X0,sK18)),sK18)
| m2_filter_2(sK18,X0)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| spl90_150 ),
inference(resolution,[],[f14355,f16255]) ).
fof(f16600,plain,
( ! [X0] :
( r2_hidden(sK15(X0,sK18),sK18)
| r2_hidden(k3_lattices(X0,sK14(X0,sK18),sK15(X0,sK18)),sK18)
| m2_filter_2(sK18,X0)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| spl90_150 ),
inference(resolution,[],[f14354,f16255]) ).
fof(f16782,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK16)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK16)))
| ~ m1_subset_1(X0,u1_struct_0(sK16))
| ~ m1_subset_1(X1,u1_struct_0(sK16))
| v3_struct_0(sK16)
| k4_lattices(k1_lattice2(sK16),X1,X0) = k3_lattices(sK16,X1,X0)
| ~ l3_lattices(sK16) )
| ~ spl90_69 ),
inference(resolution,[],[f14849,f15247]) ).
fof(f16783,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK17)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(sK17))
| ~ m1_subset_1(X1,u1_struct_0(sK17))
| v3_struct_0(sK17)
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0)
| ~ l3_lattices(sK17) )
| ~ spl90_72 ),
inference(resolution,[],[f14849,f15262]) ).
fof(f16786,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK17)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(sK17))
| ~ m1_subset_1(X1,u1_struct_0(sK17))
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0)
| ~ l3_lattices(sK17) )
| ~ spl90_72
| spl90_73 ),
inference(forward_subsumption_resolution,[],[f16783,f15267]) ).
fof(f16787,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK16)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK16)))
| ~ m1_subset_1(X0,u1_struct_0(sK16))
| ~ m1_subset_1(X1,u1_struct_0(sK16))
| k4_lattices(k1_lattice2(sK16),X1,X0) = k3_lattices(sK16,X1,X0)
| ~ l3_lattices(sK16) )
| ~ spl90_69
| spl90_70 ),
inference(forward_subsumption_resolution,[],[f16782,f15252]) ).
fof(f16790,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK17)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(sK17))
| ~ m1_subset_1(X1,u1_struct_0(sK17))
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0) )
| ~ spl90_71
| ~ spl90_72
| spl90_73 ),
inference(forward_subsumption_resolution,[],[f16786,f15257]) ).
fof(f16791,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK16)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK16)))
| ~ m1_subset_1(X0,u1_struct_0(sK16))
| ~ m1_subset_1(X1,u1_struct_0(sK16))
| k4_lattices(k1_lattice2(sK16),X1,X0) = k3_lattices(sK16,X1,X0) )
| ~ spl90_68
| ~ spl90_69
| spl90_70 ),
inference(forward_subsumption_resolution,[],[f16787,f15242]) ).
fof(f16794,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK16)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(sK17))
| ~ m1_subset_1(X1,u1_struct_0(sK17))
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0) )
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_96 ),
inference(forward_demodulation,[],[f16790,f15502]) ).
fof(f16795,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK16)))
| ~ m1_subset_1(X0,u1_struct_0(sK16))
| ~ m1_subset_1(X1,u1_struct_0(sK16))
| k4_lattices(k1_lattice2(sK16),X1,X0) = k3_lattices(sK16,X1,X0) )
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_105 ),
inference(forward_demodulation,[],[f16791,f15620]) ).
fof(f16798,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(sK17))
| ~ m1_subset_1(X1,u1_struct_0(sK17))
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0) )
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_96
| ~ spl90_105 ),
inference(forward_demodulation,[],[f16794,f15620]) ).
fof(f16799,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF82)
| ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X0,u1_struct_0(sK16))
| ~ m1_subset_1(X1,u1_struct_0(sK16))
| k4_lattices(k1_lattice2(sK16),X1,X0) = k3_lattices(sK16,X1,X0) )
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_105 ),
inference(forward_demodulation,[],[f16795,f15620]) ).
fof(f16803,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK16)))
| ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X0,u1_struct_0(sK17))
| ~ m1_subset_1(X1,u1_struct_0(sK17))
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0) )
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_96
| ~ spl90_105 ),
inference(forward_demodulation,[],[f16798,f15502]) ).
fof(f16804,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,sF82)
| ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,u1_struct_0(sK16))
| k4_lattices(k1_lattice2(sK16),X1,X0) = k3_lattices(sK16,X1,X0) )
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_77
| ~ spl90_105 ),
inference(forward_demodulation,[],[f16799,f15295]) ).
fof(f16805,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,sF82)
| ~ m1_subset_1(X1,u1_struct_0(sK16))
| k4_lattices(k1_lattice2(sK16),X1,X0) = k3_lattices(sK16,X1,X0) )
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_77
| ~ spl90_105 ),
inference(duplicate_literal_removal,[],[f16804]) ).
fof(f16809,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF82)
| ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X0,u1_struct_0(sK17))
| ~ m1_subset_1(X1,u1_struct_0(sK17))
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0) )
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_96
| ~ spl90_105 ),
inference(forward_demodulation,[],[f16803,f15620]) ).
fof(f16810,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF82)
| ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,sF82)
| k4_lattices(k1_lattice2(sK16),X1,X0) = k3_lattices(sK16,X1,X0) )
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_77
| ~ spl90_105 ),
inference(forward_demodulation,[],[f16805,f15295]) ).
fof(f16811,plain,
( ! [X0,X1] :
( k4_lattices(k1_lattice2(sK16),X1,X0) = k3_lattices(sK16,X1,X0)
| ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,sF82) )
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_77
| ~ spl90_105 ),
inference(duplicate_literal_removal,[],[f16810]) ).
fof(f16814,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF86)
| ~ m1_subset_1(X1,sF82)
| ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,u1_struct_0(sK17))
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0) )
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_81
| ~ spl90_96
| ~ spl90_105 ),
inference(forward_demodulation,[],[f16809,f15315]) ).
fof(f16817,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,sF82)
| ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,u1_struct_0(sK17))
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0) )
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_81
| ~ spl90_96
| ~ spl90_105
| ~ spl90_107 ),
inference(forward_demodulation,[],[f16814,f15633]) ).
fof(f16818,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,sF82)
| ~ m1_subset_1(X1,u1_struct_0(sK17))
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0) )
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_81
| ~ spl90_96
| ~ spl90_105
| ~ spl90_107 ),
inference(duplicate_literal_removal,[],[f16817]) ).
fof(f16821,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF86)
| ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,sF82)
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0) )
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_81
| ~ spl90_96
| ~ spl90_105
| ~ spl90_107 ),
inference(forward_demodulation,[],[f16818,f15315]) ).
fof(f16823,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF82)
| ~ m1_subset_1(X0,sF82)
| ~ m1_subset_1(X1,sF82)
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0) )
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_81
| ~ spl90_96
| ~ spl90_105
| ~ spl90_107 ),
inference(forward_demodulation,[],[f16821,f15633]) ).
fof(f16824,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF82)
| ~ m1_subset_1(X0,sF82)
| k4_lattices(k1_lattice2(sK17),X1,X0) = k3_lattices(sK17,X1,X0) )
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_81
| ~ spl90_96
| ~ spl90_105
| ~ spl90_107 ),
inference(duplicate_literal_removal,[],[f16823]) ).
fof(f16825,plain,
( ! [X0,X1] :
( k4_lattices(k1_lattice2(sK16),X1,X0) = k3_lattices(sK17,X1,X0)
| ~ m1_subset_1(X1,sF82)
| ~ m1_subset_1(X0,sF82) )
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_81
| ~ spl90_96
| ~ spl90_105
| ~ spl90_107 ),
inference(forward_demodulation,[],[f16824,f15502]) ).
fof(f16829,plain,
( k4_lattices(k1_lattice2(sK16),sK14(sK17,sK18),sK15(sK17,sK18)) = k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_81
| ~ spl90_96
| ~ spl90_105
| ~ spl90_107
| ~ spl90_164
| ~ spl90_165 ),
inference(unit_resulting_resolution,[],[f16825,f16481,f16497]) ).
fof(f16851,definition,
( spl90_186
<=> k4_lattices(k1_lattice2(sK16),sK14(sK17,sK18),sK15(sK17,sK18)) = k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)) ),
introduced(definition,[new_symbols(definition,[spl90_186])],[avatar_definition]) ).
fof(f16853,plain,
( k4_lattices(k1_lattice2(sK16),sK14(sK17,sK18),sK15(sK17,sK18)) = k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18))
| ~ spl90_186 ),
inference(avatar_component_clause,[],[f16851]) ).
fof(f16854,plain,
( spl90_186
| ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_81
| ~ spl90_96
| ~ spl90_105
| ~ spl90_107
| ~ spl90_164
| ~ spl90_165 ),
inference(avatar_split_clause,[],[f16829,f16495,f16479,f15631,f15618,f15500,f15313,f15265,f15260,f15255,f16851]) ).
fof(f16881,plain,
( k4_lattices(k1_lattice2(sK16),sK14(sK17,sK18),sK15(sK17,sK18)) = k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18))
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_77
| ~ spl90_105
| ~ spl90_164
| ~ spl90_165 ),
inference(unit_resulting_resolution,[],[f16811,f16497,f16481]) ).
fof(f16899,definition,
( spl90_193
<=> k4_lattices(k1_lattice2(sK16),sK14(sK17,sK18),sK15(sK17,sK18)) = k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18)) ),
introduced(definition,[new_symbols(definition,[spl90_193])],[avatar_definition]) ).
fof(f16901,plain,
( k4_lattices(k1_lattice2(sK16),sK14(sK17,sK18),sK15(sK17,sK18)) = k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18))
| ~ spl90_193 ),
inference(avatar_component_clause,[],[f16899]) ).
fof(f16902,plain,
( spl90_193
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_77
| ~ spl90_105
| ~ spl90_164
| ~ spl90_165 ),
inference(avatar_split_clause,[],[f16881,f16495,f16479,f15618,f15293,f15250,f15245,f15240,f16899]) ).
fof(f17010,plain,
( k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)) = k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18))
| ~ spl90_186
| ~ spl90_193 ),
inference(superposition,[],[f16853,f16901]) ).
fof(f17013,definition,
( spl90_203
<=> k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)) = k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18)) ),
introduced(definition,[new_symbols(definition,[spl90_203])],[avatar_definition]) ).
fof(f17015,plain,
( k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)) = k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18))
| ~ spl90_203 ),
inference(avatar_component_clause,[],[f17013]) ).
fof(f17016,plain,
( spl90_203
| ~ spl90_186
| ~ spl90_193 ),
inference(avatar_split_clause,[],[f17010,f16899,f16851,f17013]) ).
fof(f17922,definition,
( spl90_287
<=> r2_hidden(sK14(sK17,sK18),sK18) ),
introduced(definition,[new_symbols(definition,[spl90_287])],[avatar_definition]) ).
fof(f17923,plain,
( r2_hidden(sK14(sK17,sK18),sK18)
| ~ spl90_287 ),
inference(avatar_component_clause,[],[f17922]) ).
fof(f17924,plain,
( ~ r2_hidden(sK14(sK17,sK18),sK18)
| spl90_287 ),
inference(avatar_component_clause,[],[f17922]) ).
fof(f17934,definition,
( spl90_290
<=> r2_hidden(k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18)),sK18) ),
introduced(definition,[new_symbols(definition,[spl90_290])],[avatar_definition]) ).
fof(f17935,plain,
( r2_hidden(k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ spl90_290 ),
inference(avatar_component_clause,[],[f17934]) ).
fof(f17936,plain,
( ~ r2_hidden(k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| spl90_290 ),
inference(avatar_component_clause,[],[f17934]) ).
fof(f17940,plain,
( r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| m2_filter_2(sK18,sK17)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl90_150
| spl90_287 ),
inference(resolution,[],[f17924,f16597]) ).
fof(f17945,plain,
( r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl90_76
| spl90_150
| spl90_287 ),
inference(forward_subsumption_resolution,[],[f17940,f15282]) ).
fof(f17951,plain,
( r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl90_73
| spl90_76
| spl90_150
| spl90_287 ),
inference(forward_subsumption_resolution,[],[f17945,f15267]) ).
fof(f17952,plain,
( r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ l3_lattices(sK17)
| ~ spl90_72
| spl90_73
| spl90_76
| spl90_150
| spl90_287 ),
inference(forward_subsumption_resolution,[],[f17951,f15262]) ).
fof(f17953,plain,
( r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| spl90_150
| spl90_287 ),
inference(forward_subsumption_resolution,[],[f17952,f15257]) ).
fof(f17954,plain,
( r2_hidden(k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| spl90_150
| ~ spl90_203
| spl90_287 ),
inference(forward_demodulation,[],[f17953,f17015]) ).
fof(f17955,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(sF86))
| r2_hidden(k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| spl90_150
| ~ spl90_203
| spl90_287 ),
inference(forward_demodulation,[],[f17954,f15315]) ).
fof(f17956,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(sF82))
| r2_hidden(k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_107
| spl90_150
| ~ spl90_203
| spl90_287 ),
inference(forward_demodulation,[],[f17955,f15633]) ).
fof(f17957,plain,
( r2_hidden(k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| spl90_150
| ~ spl90_203
| spl90_287 ),
inference(forward_subsumption_resolution,[],[f17956,f15602]) ).
fof(f17958,plain,
( spl90_290
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| spl90_150
| ~ spl90_203
| spl90_287 ),
inference(avatar_split_clause,[],[f17957,f17922,f17013,f16253,f15631,f15600,f15313,f15280,f15265,f15260,f15255,f17934]) ).
fof(f17962,plain,
( r2_hidden(sK14(sK17,sK18),sK18)
| ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ m2_filter_2(sK18,sK16)
| v3_struct_0(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| ~ spl90_290 ),
inference(resolution,[],[f17935,f15337]) ).
fof(f17963,plain,
( ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ m2_filter_2(sK18,sK16)
| v3_struct_0(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl90_287
| ~ spl90_290 ),
inference(forward_subsumption_resolution,[],[f17962,f17924]) ).
fof(f17969,plain,
( ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| v3_struct_0(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| ~ spl90_75
| spl90_287
| ~ spl90_290 ),
inference(forward_subsumption_resolution,[],[f17963,f15277]) ).
fof(f17970,plain,
( ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl90_70
| ~ spl90_75
| spl90_287
| ~ spl90_290 ),
inference(forward_subsumption_resolution,[],[f17969,f15252]) ).
fof(f17971,plain,
( ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ l3_lattices(sK16)
| ~ spl90_69
| spl90_70
| ~ spl90_75
| spl90_287
| ~ spl90_290 ),
inference(forward_subsumption_resolution,[],[f17970,f15247]) ).
fof(f17972,plain,
( ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| spl90_287
| ~ spl90_290 ),
inference(forward_subsumption_resolution,[],[f17971,f15242]) ).
fof(f17973,plain,
( ~ m1_subset_1(sK15(sK17,sK18),sF82)
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| spl90_287
| ~ spl90_290 ),
inference(forward_demodulation,[],[f17972,f15295]) ).
fof(f17974,plain,
( ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| spl90_287
| ~ spl90_290 ),
inference(forward_subsumption_resolution,[],[f17973,f16481]) ).
fof(f17975,plain,
( ~ m1_subset_1(sK14(sK17,sK18),sF82)
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| spl90_287
| ~ spl90_290 ),
inference(forward_demodulation,[],[f17974,f15295]) ).
fof(f17976,plain,
( $false
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| ~ spl90_165
| spl90_287
| ~ spl90_290 ),
inference(forward_subsumption_resolution,[],[f17975,f16497]) ).
fof(f17977,plain,
( ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| ~ spl90_165
| spl90_287
| ~ spl90_290 ),
inference(avatar_contradiction_clause,[],[f17976]) ).
fof(f17991,plain,
( ~ r2_hidden(sK14(sK17,sK18),sK18)
| ~ r2_hidden(sK15(sK17,sK18),sK18)
| ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ m2_filter_2(sK18,sK16)
| v3_struct_0(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl90_290 ),
inference(resolution,[],[f17936,f15335]) ).
fof(f17993,plain,
( ~ r2_hidden(sK15(sK17,sK18),sK18)
| ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ m2_filter_2(sK18,sK16)
| v3_struct_0(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| ~ spl90_287
| spl90_290 ),
inference(forward_subsumption_resolution,[],[f17991,f17923]) ).
fof(f17995,plain,
( ~ r2_hidden(sK15(sK17,sK18),sK18)
| ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| v3_struct_0(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| ~ spl90_75
| ~ spl90_287
| spl90_290 ),
inference(forward_subsumption_resolution,[],[f17993,f15277]) ).
fof(f17996,plain,
( ~ r2_hidden(sK15(sK17,sK18),sK18)
| ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl90_70
| ~ spl90_75
| ~ spl90_287
| spl90_290 ),
inference(forward_subsumption_resolution,[],[f17995,f15252]) ).
fof(f17997,plain,
( ~ r2_hidden(sK15(sK17,sK18),sK18)
| ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ l3_lattices(sK16)
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_287
| spl90_290 ),
inference(forward_subsumption_resolution,[],[f17996,f15247]) ).
fof(f17998,plain,
( ~ r2_hidden(sK15(sK17,sK18),sK18)
| ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_287
| spl90_290 ),
inference(forward_subsumption_resolution,[],[f17997,f15242]) ).
fof(f17999,plain,
( ~ m1_subset_1(sK15(sK17,sK18),sF82)
| ~ r2_hidden(sK15(sK17,sK18),sK18)
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_287
| spl90_290 ),
inference(forward_demodulation,[],[f17998,f15295]) ).
fof(f18000,plain,
( ~ r2_hidden(sK15(sK17,sK18),sK18)
| ~ m1_subset_1(sK14(sK17,sK18),u1_struct_0(sK16))
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| ~ spl90_287
| spl90_290 ),
inference(forward_subsumption_resolution,[],[f17999,f16481]) ).
fof(f18001,plain,
( ~ m1_subset_1(sK14(sK17,sK18),sF82)
| ~ r2_hidden(sK15(sK17,sK18),sK18)
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| ~ spl90_287
| spl90_290 ),
inference(forward_demodulation,[],[f18000,f15295]) ).
fof(f18002,plain,
( ~ r2_hidden(sK15(sK17,sK18),sK18)
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| ~ spl90_165
| ~ spl90_287
| spl90_290 ),
inference(forward_subsumption_resolution,[],[f18001,f16497]) ).
fof(f18004,definition,
( spl90_293
<=> r2_hidden(sK15(sK17,sK18),sK18) ),
introduced(definition,[new_symbols(definition,[spl90_293])],[avatar_definition]) ).
fof(f18005,plain,
( r2_hidden(sK15(sK17,sK18),sK18)
| ~ spl90_293 ),
inference(avatar_component_clause,[],[f18004]) ).
fof(f18006,plain,
( ~ r2_hidden(sK15(sK17,sK18),sK18)
| spl90_293 ),
inference(avatar_component_clause,[],[f18004]) ).
fof(f18007,plain,
( ~ spl90_293
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| ~ spl90_165
| ~ spl90_287
| spl90_290 ),
inference(avatar_split_clause,[],[f18002,f17934,f17922,f16495,f16479,f15293,f15275,f15250,f15245,f15240,f18004]) ).
fof(f18010,plain,
( r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| m2_filter_2(sK18,sK17)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl90_150
| spl90_293 ),
inference(resolution,[],[f18006,f16600]) ).
fof(f18015,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_filter_2(sK18,X0)
| v3_struct_0(X0)
| ~ r2_hidden(k3_lattices(X0,X1,sK15(sK17,sK18)),sK18)
| ~ l3_lattices(X0) )
| spl90_293 ),
inference(resolution,[],[f18006,f15336]) ).
fof(f18017,plain,
( r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl90_76
| spl90_150
| spl90_293 ),
inference(forward_subsumption_resolution,[],[f18010,f15282]) ).
fof(f18023,plain,
( r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl90_73
| spl90_76
| spl90_150
| spl90_293 ),
inference(forward_subsumption_resolution,[],[f18017,f15267]) ).
fof(f18024,plain,
( r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ l3_lattices(sK17)
| ~ spl90_72
| spl90_73
| spl90_76
| spl90_150
| spl90_293 ),
inference(forward_subsumption_resolution,[],[f18023,f15262]) ).
fof(f18025,plain,
( r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| spl90_150
| spl90_293 ),
inference(forward_subsumption_resolution,[],[f18024,f15257]) ).
fof(f18026,plain,
( r2_hidden(k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| spl90_150
| ~ spl90_203
| spl90_293 ),
inference(forward_demodulation,[],[f18025,f17015]) ).
fof(f18027,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| spl90_150
| ~ spl90_203
| spl90_290
| spl90_293 ),
inference(forward_subsumption_resolution,[],[f18026,f17936]) ).
fof(f18028,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(sF86))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| spl90_150
| ~ spl90_203
| spl90_290
| spl90_293 ),
inference(forward_demodulation,[],[f18027,f15315]) ).
fof(f18029,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(sF82))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_107
| spl90_150
| ~ spl90_203
| spl90_290
| spl90_293 ),
inference(forward_demodulation,[],[f18028,f15633]) ).
fof(f18030,plain,
( $false
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| spl90_150
| ~ spl90_203
| spl90_290
| spl90_293 ),
inference(forward_subsumption_resolution,[],[f18029,f15602]) ).
fof(f18031,plain,
( ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| spl90_150
| ~ spl90_203
| spl90_290
| spl90_293 ),
inference(avatar_contradiction_clause,[],[f18030]) ).
fof(f20215,plain,
( ! [X0] :
( ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(X0,u1_struct_0(sK16))
| ~ m2_filter_2(sK18,sK16)
| v3_struct_0(sK16)
| ~ r2_hidden(k3_lattices(sK16,X0,sK15(sK17,sK18)),sK18)
| ~ l3_lattices(sK16) )
| ~ spl90_69
| spl90_293 ),
inference(resolution,[],[f18015,f15247]) ).
fof(f20219,plain,
( ! [X0] :
( ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(X0,u1_struct_0(sK16))
| v3_struct_0(sK16)
| ~ r2_hidden(k3_lattices(sK16,X0,sK15(sK17,sK18)),sK18)
| ~ l3_lattices(sK16) )
| ~ spl90_69
| ~ spl90_75
| spl90_293 ),
inference(forward_subsumption_resolution,[],[f20215,f15277]) ).
fof(f20221,plain,
( ! [X0] :
( ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(X0,u1_struct_0(sK16))
| ~ r2_hidden(k3_lattices(sK16,X0,sK15(sK17,sK18)),sK18)
| ~ l3_lattices(sK16) )
| ~ spl90_69
| spl90_70
| ~ spl90_75
| spl90_293 ),
inference(forward_subsumption_resolution,[],[f20219,f15252]) ).
fof(f20223,plain,
( ! [X0] :
( ~ m1_subset_1(sK15(sK17,sK18),u1_struct_0(sK16))
| ~ m1_subset_1(X0,u1_struct_0(sK16))
| ~ r2_hidden(k3_lattices(sK16,X0,sK15(sK17,sK18)),sK18) )
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| spl90_293 ),
inference(forward_subsumption_resolution,[],[f20221,f15242]) ).
fof(f20225,plain,
( ! [X0] :
( ~ m1_subset_1(sK15(sK17,sK18),sF82)
| ~ m1_subset_1(X0,u1_struct_0(sK16))
| ~ r2_hidden(k3_lattices(sK16,X0,sK15(sK17,sK18)),sK18) )
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| spl90_293 ),
inference(forward_demodulation,[],[f20223,f15295]) ).
fof(f20227,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK16))
| ~ r2_hidden(k3_lattices(sK16,X0,sK15(sK17,sK18)),sK18) )
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| spl90_293 ),
inference(forward_subsumption_resolution,[],[f20225,f16481]) ).
fof(f20236,plain,
( ! [X0] :
( ~ r2_hidden(k3_lattices(sK16,X0,sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(X0,sF82) )
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| spl90_293 ),
inference(forward_demodulation,[],[f20227,f15295]) ).
fof(f20243,plain,
( ~ m1_subset_1(sK14(sK17,sK18),sF82)
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| ~ spl90_290
| spl90_293 ),
inference(unit_resulting_resolution,[],[f20236,f17935]) ).
fof(f20285,plain,
( $false
| ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| ~ spl90_165
| ~ spl90_290
| spl90_293 ),
inference(forward_subsumption_resolution,[],[f20243,f16497]) ).
fof(f20286,plain,
( ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| ~ spl90_165
| ~ spl90_290
| spl90_293 ),
inference(avatar_contradiction_clause,[],[f20285]) ).
fof(f20296,plain,
( ~ r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ r2_hidden(sK14(sK17,sK18),sK18)
| m2_filter_2(sK18,sK17)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| ~ spl90_293 ),
inference(resolution,[],[f18005,f15284]) ).
fof(f20297,plain,
( ~ r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| m2_filter_2(sK18,sK17)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| ~ spl90_287
| ~ spl90_293 ),
inference(forward_subsumption_resolution,[],[f20296,f17923]) ).
fof(f20298,plain,
( ~ r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl90_76
| ~ spl90_287
| ~ spl90_293 ),
inference(forward_subsumption_resolution,[],[f20297,f15282]) ).
fof(f20299,plain,
( ~ r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl90_73
| spl90_76
| ~ spl90_287
| ~ spl90_293 ),
inference(forward_subsumption_resolution,[],[f20298,f15267]) ).
fof(f20300,plain,
( ~ r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ l3_lattices(sK17)
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_287
| ~ spl90_293 ),
inference(forward_subsumption_resolution,[],[f20299,f15262]) ).
fof(f20301,plain,
( ~ r2_hidden(k3_lattices(sK17,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_287
| ~ spl90_293 ),
inference(forward_subsumption_resolution,[],[f20300,f15257]) ).
fof(f20302,plain,
( ~ r2_hidden(k3_lattices(sK16,sK14(sK17,sK18),sK15(sK17,sK18)),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_203
| ~ spl90_287
| ~ spl90_293 ),
inference(forward_demodulation,[],[f20301,f17015]) ).
fof(f20303,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_203
| ~ spl90_287
| ~ spl90_290
| ~ spl90_293 ),
inference(forward_subsumption_resolution,[],[f20302,f17935]) ).
fof(f20304,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(sF86))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_203
| ~ spl90_287
| ~ spl90_290
| ~ spl90_293 ),
inference(forward_demodulation,[],[f20303,f15315]) ).
fof(f20305,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(sF82))
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_107
| ~ spl90_203
| ~ spl90_287
| ~ spl90_290
| ~ spl90_293 ),
inference(forward_demodulation,[],[f20304,f15633]) ).
fof(f20306,plain,
( $false
| ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| ~ spl90_203
| ~ spl90_287
| ~ spl90_290
| ~ spl90_293 ),
inference(forward_subsumption_resolution,[],[f20305,f15602]) ).
fof(f20307,plain,
( ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| ~ spl90_203
| ~ spl90_287
| ~ spl90_290
| ~ spl90_293 ),
inference(avatar_contradiction_clause,[],[f20306]) ).
cnf(s68,plain,
spl90_68,
inference(sat_conversion,[],[f15243]) ).
cnf(s69,plain,
spl90_69,
inference(sat_conversion,[],[f15248]) ).
cnf(s70,plain,
~ spl90_70,
inference(sat_conversion,[],[f15253]) ).
cnf(s71,plain,
spl90_71,
inference(sat_conversion,[],[f15258]) ).
cnf(s72,plain,
spl90_72,
inference(sat_conversion,[],[f15263]) ).
cnf(s73,plain,
~ spl90_73,
inference(sat_conversion,[],[f15268]) ).
cnf(s74,plain,
spl90_74,
inference(sat_conversion,[],[f15273]) ).
cnf(s75,plain,
spl90_75,
inference(sat_conversion,[],[f15278]) ).
cnf(s76,plain,
~ spl90_76,
inference(sat_conversion,[],[f15283]) ).
cnf(s77,plain,
spl90_77,
inference(sat_conversion,[],[f15296]) ).
cnf(s78,plain,
spl90_78,
inference(sat_conversion,[],[f15301]) ).
cnf(s79,plain,
spl90_79,
inference(sat_conversion,[],[f15306]) ).
cnf(s80,plain,
spl90_80,
inference(sat_conversion,[],[f15311]) ).
cnf(s81,plain,
spl90_81,
inference(sat_conversion,[],[f15316]) ).
cnf(s82,plain,
spl90_82,
inference(sat_conversion,[],[f15321]) ).
cnf(s83,plain,
spl90_83,
inference(sat_conversion,[],[f15326]) ).
cnf(s84,plain,
spl90_84,
inference(sat_conversion,[],[f15331]) ).
cnf(s85,plain,
( ~ spl90_74
| ~ spl90_84
| spl90_85 ),
inference(sat_conversion,[],[f15348]) ).
cnf(s106,plain,
( ~ spl90_68
| ~ spl90_71
| ~ spl90_77
| ~ spl90_78
| ~ spl90_79
| ~ spl90_80
| ~ spl90_81
| ~ spl90_82
| ~ spl90_83
| ~ spl90_85
| spl90_96 ),
inference(sat_conversion,[],[f15503]) ).
cnf(s117,plain,
( ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| spl90_103 ),
inference(sat_conversion,[],[f15590]) ).
cnf(s118,plain,
( ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_77
| ~ spl90_103
| spl90_104 ),
inference(sat_conversion,[],[f15603]) ).
cnf(s119,plain,
( ~ spl90_68
| spl90_70
| ~ spl90_77
| spl90_105 ),
inference(sat_conversion,[],[f15621]) ).
cnf(s121,plain,
( ~ spl90_71
| spl90_73
| ~ spl90_81
| ~ spl90_96
| spl90_106 ),
inference(sat_conversion,[],[f15628]) ).
cnf(s123,plain,
( ~ spl90_105
| ~ spl90_106
| spl90_107 ),
inference(sat_conversion,[],[f15634]) ).
cnf(s201,plain,
( ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_150 ),
inference(sat_conversion,[],[f16256]) ).
cnf(s220,plain,
( ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| spl90_150
| spl90_164 ),
inference(sat_conversion,[],[f16482]) ).
cnf(s221,plain,
( ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| spl90_150
| spl90_165 ),
inference(sat_conversion,[],[f16498]) ).
cnf(s249,plain,
( ~ spl90_71
| ~ spl90_72
| spl90_73
| ~ spl90_81
| ~ spl90_96
| ~ spl90_105
| ~ spl90_107
| ~ spl90_164
| ~ spl90_165
| spl90_186 ),
inference(sat_conversion,[],[f16854]) ).
cnf(s256,plain,
( ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_77
| ~ spl90_105
| ~ spl90_164
| ~ spl90_165
| spl90_193 ),
inference(sat_conversion,[],[f16902]) ).
cnf(s268,plain,
( ~ spl90_186
| ~ spl90_193
| spl90_203 ),
inference(sat_conversion,[],[f17016]) ).
cnf(s368,plain,
( ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| spl90_150
| ~ spl90_203
| spl90_287
| spl90_290 ),
inference(sat_conversion,[],[f17958]) ).
cnf(s370,plain,
( ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| ~ spl90_165
| spl90_287
| ~ spl90_290 ),
inference(sat_conversion,[],[f17977]) ).
cnf(s374,plain,
( ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| ~ spl90_165
| ~ spl90_287
| spl90_290
| ~ spl90_293 ),
inference(sat_conversion,[],[f18007]) ).
cnf(s378,plain,
( ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| spl90_150
| ~ spl90_203
| spl90_290
| spl90_293 ),
inference(sat_conversion,[],[f18031]) ).
cnf(s723,plain,
( ~ spl90_68
| ~ spl90_69
| spl90_70
| ~ spl90_75
| ~ spl90_77
| ~ spl90_164
| ~ spl90_165
| ~ spl90_290
| spl90_293 ),
inference(sat_conversion,[],[f20286]) ).
cnf(s726,plain,
( ~ spl90_71
| ~ spl90_72
| spl90_73
| spl90_76
| ~ spl90_81
| ~ spl90_104
| ~ spl90_107
| ~ spl90_203
| ~ spl90_287
| ~ spl90_290
| ~ spl90_293 ),
inference(sat_conversion,[],[f20307]) ).
cnf(s727,plain,
spl90_85,
inference(rat,[],[s85,s84,s74]) ).
cnf(s739,plain,
~ spl90_150,
inference(rat,[],[s201,s69,s75,s70,s68]) ).
cnf(s747,plain,
spl90_105,
inference(rat,[],[s119,s70,s77,s68]) ).
cnf(s748,plain,
spl90_103,
inference(rat,[],[s117,s69,s75,s70,s68]) ).
cnf(s752,plain,
spl90_96,
inference(rat,[],[s106,s71,s727,s83,s82,s81,s80,s79,s78,s77,s68]) ).
cnf(s764,plain,
spl90_104,
inference(rat,[],[s118,s68,s69,s77,s70,s748]) ).
cnf(s767,plain,
spl90_106,
inference(rat,[],[s121,s71,s73,s81,s752]) ).
cnf(s791,plain,
spl90_107,
inference(rat,[],[s123,s747,s767]) ).
cnf(s818,plain,
spl90_165,
inference(rat,[],[s221,s764,s739,s71,s72,s81,s76,s73,s791]) ).
cnf(s819,plain,
spl90_164,
inference(rat,[],[s220,s764,s739,s71,s72,s81,s76,s73,s791]) ).
cnf(s887,plain,
spl90_193,
inference(rat,[],[s256,s818,s747,s68,s69,s77,s70,s819]) ).
cnf(s899,plain,
spl90_186,
inference(rat,[],[s249,s791,s818,s752,s747,s71,s72,s81,s73,s819]) ).
cnf(s922,plain,
spl90_203,
inference(rat,[],[s268,s887,s899]) ).
cnf(s925,plain,
spl90_287,
inference(rat,[],[s370,s368,s70,s75,s77,s69,s68,s818,s819,s73,s76,s81,s72,s71,s739,s764,s791,s922]) ).
cnf(s927,plain,
~ spl90_290,
inference(rat,[],[s726,s723,s73,s76,s81,s72,s71,s764,s791,s922,s925,s70,s75,s77,s69,s68,s818,s819]) ).
cnf(s929,plain,
spl90_293,
inference(rat,[],[s378,s922,s791,s764,s739,s71,s72,s81,s76,s73,s927]) ).
cnf(s930,plain,
$false,
inference(rat,[],[s374,s925,s819,s818,s68,s69,s77,s75,s70,s929,s927]) ).
fof(f20308,plain,
$false,
inference(avatar_sat_refutation,[],[s930]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT299+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 14:24:45 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.42/3.58 % (3569770)Detected formulas, will run a generic FOF schedule.
% 14.42/3.58 % (3569776)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=293128820:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 14.42/3.58 % (3569777)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=1911672489:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 14.42/3.58 % (3569778)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1230180250:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 14.42/3.58 % (3569775)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=3435712337:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 14.42/3.58 % (3569780)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=830595530:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 14.42/3.58 % (3569779)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4189310196:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 14.42/3.58 % (3569781)dis-21_1_sil=8000:lcm=predicate:random_seed=953016472:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 14.42/3.58 % (3569778)Refutation not found, incomplete strategy
% 14.42/3.58 % (3569778)------------------------------
% 14.42/3.58 % (3569778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.58 % (3569778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.58 % (3569778)CaDiCaL version: 2.1.3
% 14.42/3.58 % (3569778)Termination reason: Refutation not found, incomplete strategy
% 14.42/3.58 % (3569778)Time elapsed: 0.065 s
% 14.42/3.58 % (3569778)Peak memory usage: 107 MB
% 14.42/3.58 % (3569778)Instructions burned: 80 (million)
% 14.42/3.58 % (3569780)Instruction limit reached!
% 14.42/3.58 % (3569780)------------------------------
% 14.42/3.58 % (3569780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.58 % (3569780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.58 % (3569780)CaDiCaL version: 2.1.3
% 14.42/3.58 % (3569780)Termination reason: Instruction limit
% 14.42/3.58 % (3569780)Termination phase: Property scanning
% 14.42/3.58 % (3569780)Time elapsed: 0.059 s
% 14.42/3.58 % (3569780)Peak memory usage: 102 MB
% 14.42/3.58 % (3569780)Instructions burned: 139 (million)
% 14.42/3.58 % (3569779)Instruction limit reached!
% 14.42/3.58 % (3569779)------------------------------
% 14.42/3.58 % (3569779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.58 % (3569779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.58 % (3569779)CaDiCaL version: 2.1.3
% 14.42/3.58 % (3569779)Termination reason: Instruction limit
% 14.42/3.58 % (3569779)Termination phase: Property scanning
% 14.42/3.58 % (3569779)Time elapsed: 0.089 s
% 14.42/3.58 % (3569779)Peak memory usage: 105 MB
% 14.42/3.58 % (3569779)Instructions burned: 120 (million)
% 14.42/3.58 % (3569781)Instruction limit reached!
% 14.42/3.58 % (3569781)------------------------------
% 14.42/3.58 % (3569781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.58 % (3569781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.58 % (3569781)CaDiCaL version: 2.1.3
% 14.42/3.58 % (3569781)Termination reason: Instruction limit
% 14.42/3.58 % (3569781)Termination phase: Preprocessing 1
% 14.42/3.58 % (3569781)Time elapsed: 0.098 s
% 14.42/3.58 % (3569781)Peak memory usage: 103 MB
% 14.42/3.58 % (3569781)Instructions burned: 129 (million)
% 14.42/3.58 % (3569789)lrs+10_1_sil=8000:sp=occurrence:random_seed=3180230360:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 14.42/3.58 % (3569790)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1588540729:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 14.42/3.58 % (3569791)lrs+1011_1_sil=32000:sp=occurrence:random_seed=284422168:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 14.42/3.58 % (3569778)------------------------------
% 14.42/3.58 % (3569778)------------------------------
% 14.42/3.58 % (3569790)Instruction limit reached!
% 14.42/3.58 % (3569790)------------------------------
% 14.42/3.58 % (3569790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.58 % (3569790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.58 % (3569790)CaDiCaL version: 2.1.3
% 21.81/4.58 % (3569790)Termination reason: Instruction limit
% 21.81/4.58 % (3569790)Termination phase: Property scanning
% 21.81/4.58 % (3569790)Time elapsed: 0.067 s
% 21.81/4.58 % (3569790)Peak memory usage: 102 MB
% 21.81/4.58 % (3569790)Instructions burned: 157 (million)
% 21.81/4.58 % (3569791)Refutation not found, incomplete strategy
% 21.81/4.58 % (3569791)------------------------------
% 21.81/4.58 % (3569791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.58 % (3569791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.58 % (3569791)CaDiCaL version: 2.1.3
% 21.81/4.58 % (3569791)Termination reason: Refutation not found, incomplete strategy
% 21.81/4.58 % (3569791)Time elapsed: 0.069 s
% 21.81/4.58 % (3569791)Peak memory usage: 107 MB
% 21.81/4.58 % (3569791)Instructions burned: 79 (million)
% 21.81/4.58 % (3569789)Instruction limit reached!
% 21.81/4.58 % (3569789)------------------------------
% 21.81/4.58 % (3569789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.58 % (3569789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.58 % (3569789)CaDiCaL version: 2.1.3
% 21.81/4.58 % (3569789)Termination reason: Instruction limit
% 21.81/4.58 % (3569789)Termination phase: Saturation
% 21.81/4.58 % (3569789)Time elapsed: 0.194 s
% 21.81/4.58 % (3569789)Peak memory usage: 109 MB
% 21.81/4.58 % (3569789)Instructions burned: 285 (million)
% 21.81/4.58 % (3569796)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4057541501:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 21.81/4.58 % (3569795)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=934069039:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 21.81/4.58 % (3569797)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2314407649:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 21.81/4.58 % (3569795)Instruction limit reached!
% 21.81/4.58 % (3569795)------------------------------
% 21.81/4.58 % (3569795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.58 % (3569795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.58 % (3569795)CaDiCaL version: 2.1.3
% 21.81/4.58 % (3569795)Termination reason: Instruction limit
% 21.81/4.58 % (3569795)Termination phase: SInE selection
% 21.81/4.58 % (3569795)Time elapsed: 0.127 s
% 21.81/4.58 % (3569795)Peak memory usage: 103 MB
% 21.81/4.58 % (3569795)Instructions burned: 249 (million)
% 21.81/4.58 % (3569791)------------------------------
% 21.81/4.58 % (3569791)------------------------------
% 21.81/4.58 % (3569796)Instruction limit reached!
% 21.81/4.58 % (3569796)------------------------------
% 21.81/4.58 % (3569796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.58 % (3569796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.58 % (3569796)CaDiCaL version: 2.1.3
% 21.81/4.58 % (3569796)Termination reason: Instruction limit
% 21.81/4.58 % (3569796)Termination phase: Saturation
% 21.81/4.58 % (3569796)Time elapsed: 0.183 s
% 21.81/4.58 % (3569796)Peak memory usage: 110 MB
% 21.81/4.58 % (3569796)Instructions burned: 295 (million)
% 21.81/4.58 % (3569801)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3760668929:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 21.81/4.58 % (3569802)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1314502469:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 21.81/4.58 % (3569803)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2905535882:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 21.81/4.58 % (3569801)Instruction limit reached!
% 21.81/4.58 % (3569801)------------------------------
% 21.81/4.58 % (3569801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.58 % (3569801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.58 % (3569801)CaDiCaL version: 2.1.3
% 21.81/4.58 % (3569801)Termination reason: Instruction limit
% 21.81/4.58 % (3569801)Termination phase: Preprocessing 3
% 21.81/4.58 % (3569801)Time elapsed: 0.096 s
% 21.81/4.58 % (3569801)Peak memory usage: 105 MB
% 21.81/4.58 % (3569801)Instructions burned: 114 (million)
% 54.43/9.09 % (3569802)Instruction limit reached!
% 54.43/9.09 % (3569802)------------------------------
% 54.43/9.09 % (3569802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.43/9.09 % (3569802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.43/9.09 % (3569802)CaDiCaL version: 2.1.3
% 54.43/9.09 % (3569802)Termination reason: Instruction limit
% 54.43/9.09 % (3569802)Termination phase: Preprocessing 2
% 54.43/9.09 % (3569802)Time elapsed: 0.100 s
% 54.43/9.09 % (3569802)Peak memory usage: 106 MB
% 54.43/9.09 % (3569802)Instructions burned: 127 (million)
% 54.43/9.09 % (3569803)Instruction limit reached!
% 54.43/9.09 % (3569803)------------------------------
% 54.43/9.09 % (3569803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.43/9.09 % (3569803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.43/9.09 % (3569803)CaDiCaL version: 2.1.3
% 54.43/9.09 % (3569803)Termination reason: Instruction limit
% 54.43/9.09 % (3569803)Termination phase: Property scanning
% 54.43/9.09 % (3569803)Time elapsed: 0.050 s
% 54.43/9.09 % (3569803)Peak memory usage: 102 MB
% 54.43/9.09 % (3569803)Instructions burned: 115 (million)
% 54.43/9.09 % (3569807)lrs+10_1_sil=8000:sp=occurrence:random_seed=1055509162:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 54.43/9.09 % (3569808)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1714418718:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 54.43/9.09 % (3569809)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2551248275:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 54.43/9.09 % (3569808)Instruction limit reached!
% 54.43/9.09 % (3569808)------------------------------
% 54.43/9.09 % (3569808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.43/9.09 % (3569808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.43/9.09 % (3569808)CaDiCaL version: 2.1.3
% 54.43/9.09 % (3569808)Termination reason: Instruction limit
% 54.43/9.09 % (3569808)Termination phase: Saturation
% 54.43/9.09 % (3569808)Time elapsed: 0.255 s
% 54.43/9.09 % (3569808)Peak memory usage: 110 MB
% 54.43/9.09 % (3569808)Instructions burned: 438 (million)
% 54.43/9.09 % (3569813)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3850598800:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 54.43/9.09 % (3569813)Instruction limit reached!
% 54.43/9.09 % (3569813)------------------------------
% 54.43/9.09 % (3569813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.43/9.09 % (3569813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.43/9.09 % (3569813)CaDiCaL version: 2.1.3
% 54.43/9.09 % (3569813)Termination reason: Instruction limit
% 54.43/9.09 % (3569813)Termination phase: Saturation
% 54.43/9.09 % (3569813)Time elapsed: 0.095 s
% 54.43/9.09 % (3569813)Peak memory usage: 107 MB
% 54.43/9.09 % (3569813)Instructions burned: 135 (million)
% 54.43/9.09 % (3569807)Instruction limit reached!
% 54.43/9.09 % (3569807)------------------------------
% 54.43/9.09 % (3569807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.43/9.09 % (3569807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.43/9.09 % (3569807)CaDiCaL version: 2.1.3
% 54.43/9.09 % (3569807)Termination reason: Instruction limit
% 54.43/9.09 % (3569807)Termination phase: Saturation
% 54.43/9.09 % (3569807)Time elapsed: 0.612 s
% 54.43/9.09 % (3569807)Peak memory usage: 118 MB
% 54.43/9.09 % (3569807)Instructions burned: 908 (million)
% 54.43/9.09 % (3569815)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1665435141:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 54.43/9.09 % (3569816)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1872914597:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 54.43/9.09 % (3569815)Instruction limit reached!
% 54.43/9.09 % (3569815)------------------------------
% 54.43/9.09 % (3569815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.43/9.09 % (3569815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.43/9.09 % (3569815)CaDiCaL version: 2.1.3
% 54.43/9.09 % (3569815)Termination reason: Instruction limit
% 54.43/9.09 % (3569815)Termination phase: Property scanning
% 54.43/9.09 % (3569815)Time elapsed: 0.382 s
% 54.43/9.09 % (3569815)Peak memory usage: 122 MB
% 54.43/9.09 % (3569815)Instructions burned: 595 (million)
% 64.77/10.59 % (3569797)Instruction limit reached!
% 64.77/10.59 % (3569797)------------------------------
% 64.77/10.59 % (3569797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/10.59 % (3569797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/10.59 % (3569797)CaDiCaL version: 2.1.3
% 64.77/10.59 % (3569797)Termination reason: Instruction limit
% 64.77/10.59 % (3569797)Termination phase: Saturation
% 64.77/10.59 % (3569797)Time elapsed: 1.445 s
% 64.77/10.59 % (3569797)Peak memory usage: 238 MB
% 64.77/10.59 % (3569797)Instructions burned: 2351 (million)
% 64.77/10.59 % (3569819)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=53018699:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 64.77/10.59 % (3569819)Instruction limit reached!
% 64.77/10.59 % (3569819)------------------------------
% 64.77/10.59 % (3569819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/10.59 % (3569819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/10.59 % (3569819)CaDiCaL version: 2.1.3
% 64.77/10.59 % (3569819)Termination reason: Instruction limit
% 64.77/10.59 % (3569819)Termination phase: Property scanning
% 64.77/10.59 % (3569819)Time elapsed: 0.054 s
% 64.77/10.59 % (3569819)Peak memory usage: 102 MB
% 64.77/10.59 % (3569819)Instructions burned: 125 (million)
% 64.77/10.59 % (3569820)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=555053316:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 64.77/10.59 % (3569820)Instruction limit reached!
% 64.77/10.59 % (3569820)------------------------------
% 64.77/10.59 % (3569820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/10.59 % (3569820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/10.59 % (3569820)CaDiCaL version: 2.1.3
% 64.77/10.59 % (3569820)Termination reason: Instruction limit
% 64.77/10.59 % (3569820)Termination phase: Property scanning
% 64.77/10.59 % (3569820)Time elapsed: 0.059 s
% 64.77/10.59 % (3569820)Peak memory usage: 102 MB
% 64.77/10.59 % (3569820)Instructions burned: 136 (million)
% 64.77/10.59 % (3569822)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3667810133:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/141Mi)
% 64.77/10.59 % (3569822)Refutation not found, incomplete strategy
% 64.77/10.59 % (3569822)------------------------------
% 64.77/10.59 % (3569822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/10.59 % (3569822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/10.59 % (3569822)CaDiCaL version: 2.1.3
% 64.77/10.59 % (3569822)Termination reason: Refutation not found, incomplete strategy
% 64.77/10.59 % (3569822)Time elapsed: 0.065 s
% 64.77/10.59 % (3569822)Peak memory usage: 107 MB
% 64.77/10.59 % (3569822)Instructions burned: 78 (million)
% 64.77/10.59 % (3569824)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3918550753:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 64.77/10.59 % (3569824)Refutation not found, incomplete strategy
% 64.77/10.59 % (3569824)------------------------------
% 64.77/10.59 % (3569824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/10.59 % (3569824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/10.59 % (3569824)CaDiCaL version: 2.1.3
% 64.77/10.59 % (3569824)Termination reason: Refutation not found, incomplete strategy
% 64.77/10.59 % (3569824)Time elapsed: 0.072 s
% 64.77/10.59 % (3569824)Peak memory usage: 107 MB
% 64.77/10.59 % (3569824)Instructions burned: 84 (million)
% 64.77/10.59 % (3569822)------------------------------
% 64.77/10.59 % (3569822)------------------------------
% 64.77/10.59 % (3569824)------------------------------
% 64.77/10.59 % (3569824)------------------------------
% 64.77/10.59 % (3569827)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=2480517533:i=6060:aac=none:ins=25_2966 on theBenchmark for (2966ds/6060Mi)
% 64.77/10.59 % (3569828)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=1373262369:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2965 on theBenchmark for (2965ds/150Mi)
% 64.77/10.59 % (3569828)Instruction limit reached!
% 64.77/10.59 % (3569828)------------------------------
% 64.77/10.59 % (3569828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/10.59 % (3569828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/10.59 % (3569828)CaDiCaL version: 2.1.3
% 64.77/10.59 % (3569828)Termination reason: Instruction limit
% 64.77/10.59 % (3569828)Termination phase: Preprocessing 1
% 64.77/10.59 % (3569828)Time elapsed: 0.113 s
% 64.77/10.59 % (3569828)Peak memory usage: 103 MB
% 64.77/10.59 % (3569828)Instructions burned: 151 (million)
% 64.77/10.59 % (3569831)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3994741845:i=14155:bd=all_2962 on theBenchmark for (2962ds/14155Mi)
% 64.77/10.59 % (3569809)Instruction limit reached!
% 64.77/10.59 % (3569809)------------------------------
% 64.77/10.59 % (3569809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/10.59 % (3569809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/10.59 % (3569809)CaDiCaL version: 2.1.3
% 64.77/10.59 % (3569809)Termination reason: Instruction limit
% 64.77/10.59 % (3569809)Termination phase: Saturation
% 64.77/10.59 % (3569809)Time elapsed: 3.769 s
% 64.77/10.59 % (3569809)Peak memory usage: 435 MB
% 64.77/10.59 % (3569809)Instructions burned: 5204 (million)
% 64.77/10.59 % (3569833)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=59335239:i=667:av=off:fsr=off_2944 on theBenchmark for (2944ds/667Mi)
% 64.77/10.59 % (3569833)Instruction limit reached!
% 64.77/10.59 % (3569833)------------------------------
% 64.77/10.59 % (3569833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/10.59 % (3569833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/10.59 % (3569833)CaDiCaL version: 2.1.3
% 64.77/10.59 % (3569833)Termination reason: Instruction limit
% 64.77/10.59 % (3569833)Termination phase: NewCNF
% 64.77/10.59 % (3569833)Time elapsed: 0.486 s
% 64.77/10.59 % (3569833)Peak memory usage: 135 MB
% 64.77/10.59 % (3569833)Instructions burned: 667 (million)
% 64.77/10.59 % (3569835)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=564913096:s2a=on:i=185:s2at=1.8:fdi=4_2937 on theBenchmark for (2937ds/185Mi)
% 64.77/10.59 % (3569835)Instruction limit reached!
% 64.77/10.59 % (3569835)------------------------------
% 64.77/10.59 % (3569835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/10.59 % (3569835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/10.59 % (3569835)CaDiCaL version: 2.1.3
% 64.77/10.59 % (3569835)Termination reason: Instruction limit
% 64.77/10.59 % (3569835)Termination phase: Preprocessing 1
% 64.77/10.59 % (3569835)Time elapsed: 0.144 s
% 64.77/10.59 % (3569835)Peak memory usage: 104 MB
% 64.77/10.59 % (3569835)Instructions burned: 186 (million)
% 64.77/10.59 % (3569837)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=685540929:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2934 on theBenchmark for (2934ds/193Mi)
% 64.77/10.59 % (3569837)Instruction limit reached!
% 64.77/10.59 % (3569837)------------------------------
% 64.77/10.59 % (3569837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/10.59 % (3569837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/10.59 % (3569837)CaDiCaL version: 2.1.3
% 64.77/10.59 % (3569837)Termination reason: Instruction limit
% 64.77/10.59 % (3569837)Termination phase: Saturation
% 64.77/10.59 % (3569837)Time elapsed: 0.149 s
% 64.77/10.59 % (3569837)Peak memory usage: 105 MB
% 64.77/10.59 % (3569837)Instructions burned: 194 (million)
% 64.77/10.59 % (3569839)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1081945740:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2932 on theBenchmark for (2932ds/4850Mi)
% 64.77/10.59 % (3569827)Instruction limit reached!
% 64.77/10.59 % (3569827)------------------------------
% 64.77/10.59 % (3569827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/10.59 % (3569827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/10.59 % (3569827)CaDiCaL version: 2.1.3
% 64.77/10.59 % (3569827)Termination reason: Instruction limit
% 64.77/10.59 % (3569827)Termination phase: Saturation
% 64.77/10.59 % (3569827)Time elapsed: 4.549 s
% 64.77/10.59 % (3569827)Peak memory usage: 521 MB
% 64.77/10.59 % (3569827)Instructions burned: 6061 (million)
% 64.77/10.59 % (3569841)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2985768307:i=12111:sd=1:ss=included_2918 on theBenchmark for (2918ds/12111Mi)
% 64.77/10.59 % (3569841)First to succeed.
% 64.77/10.59 % (3569841)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3569770"
% 64.77/10.59 % (3569839)Instruction limit reached!
% 64.77/10.59 % (3569839)------------------------------
% 64.77/10.59 % (3569839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.77/10.59 % (3569839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.77/10.59 % (3569839)CaDiCaL version: 2.1.3
% 64.77/10.59 % (3569839)Termination reason: Instruction limit
% 64.77/10.59 % (3569839)Termination phase: Saturation
% 64.77/10.59 % (3569839)Time elapsed: 2.640 s
% 64.77/10.59 % (3569839)Peak memory usage: 174 MB
% 64.77/10.59 % (3569839)Instructions burned: 4850 (million)
% 64.77/10.59 % (3569841)Refutation found. Thanks to Tanya!
% 64.77/10.59 % SZS status Theorem for theBenchmark
% 64.77/10.59 % SZS output start Proof for theBenchmark
% See solution above
% 65.46/10.78 % (3569841)------------------------------
% 65.46/10.78 % (3569841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.46/10.78 % (3569841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.46/10.78 % (3569841)CaDiCaL version: 2.1.3
% 65.46/10.78 % (3569841)Termination reason: Refutation
% 65.46/10.78 % (3569841)Time elapsed: 1.181 s
% 65.46/10.78 % (3569841)Peak memory usage: 158 MB
% 65.46/10.78 % (3569841)Instructions burned: 1814 (million)
% 65.46/10.78 % (3569841)------------------------------
% 65.46/10.78 % (3569841)------------------------------
% 65.46/10.78 % (3569770)Success in time 9.753 s
% 65.46/10.78 % Vampire exiting
%------------------------------------------------------------------------------