%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT299+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 23.37s 4.29s
% Output : Refutation 24.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 24
% Syntax : Number of formulae : 269 ( 47 unt; 14 def)
% Number of atoms : 1327 ( 112 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 1826 ( 768 ~; 901 |; 110 &)
% ( 13 <=>; 32 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 7 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 11 con; 0-3 aty)
% Number of variables : 231 ( 0 sgn 211 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f584,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f2597,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f2633,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
=> ( ( X1 = X3
& X2 = X4 )
=> ( k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4)
& k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_lattice2) ).
fof(f2857,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/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f2873,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/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f2922,axiom,
! [X0] :
( l3_lattices(X0)
=> ! [X1] :
( l3_lattices(X1)
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> k1_lattice2(X0) = k1_lattice2(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_filter_2) ).
fof(f2932,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/sandbox/benchmark/theBenchmark.p',d3_filter_2) ).
fof(f2933,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/sandbox/benchmark/theBenchmark.p',t15_filter_2) ).
fof(f2935,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/sandbox/benchmark/theBenchmark.p',t17_filter_2) ).
fof(f2936,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)],[f2935]) ).
fof(f3050,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f3364,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f584]) ).
fof(f3365,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f3364]) ).
fof(f5674,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2597]) ).
fof(f5675,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,[],[f5674]) ).
fof(f5740,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4)
& k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0))) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2633]) ).
fof(f5741,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,[],[f5740]) ).
fof(f5989,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,[],[f2857]) ).
fof(f5990,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,[],[f5989]) ).
fof(f6021,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,[],[f2873]) ).
fof(f6022,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,[],[f6021]) ).
fof(f6118,plain,
! [X0] :
( ! [X1] :
( k1_lattice2(X0) = k1_lattice2(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2922]) ).
fof(f6119,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,[],[f6118]) ).
fof(f6136,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,[],[f2932]) ).
fof(f6137,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,[],[f6136]) ).
fof(f6138,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,[],[f2933]) ).
fof(f6139,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,[],[f6138]) ).
fof(f6142,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,[],[f2936]) ).
fof(f6143,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,[],[f6142]) ).
fof(f7854,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,[],[f6137]) ).
fof(f7855,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,[],[f7854]) ).
fof(f7856,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,[],[f7855]) ).
fof(f7857,plain,
! [X0] :
( ! [X1] :
( ( ( m2_filter_2(X1,X0)
| ( ( ~ r2_hidden(k3_lattices(X0,sK1056(X0,X1),sK1057(X0,X1)),X1)
| ~ r2_hidden(sK1056(X0,X1),X1)
| ~ r2_hidden(sK1057(X0,X1),X1) )
& ( r2_hidden(k3_lattices(X0,sK1056(X0,X1),sK1057(X0,X1)),X1)
| ( r2_hidden(sK1056(X0,X1),X1)
& r2_hidden(sK1057(X0,X1),X1) ) )
& m1_subset_1(sK1057(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK1056(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,[sK1056,sK1057]),skolemize(X2,sK1056(X0,X1)),skolemize(X3,sK1057(X0,X1))],[f7856]) ).
fof(f7858,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,[],[f6139]) ).
fof(f7859,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,[],[f7858]) ).
fof(f7860,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
| ( ( ~ r2_hidden(k3_lattices(X0,sK1058(X0,X1),sK1059(X0,X1)),X1)
| ~ r2_hidden(sK1058(X0,X1),X1)
| ~ r2_hidden(sK1059(X0,X1),X1) )
& ( r2_hidden(k3_lattices(X0,sK1058(X0,X1),sK1059(X0,X1)),X1)
| ( r2_hidden(sK1058(X0,X1),X1)
& r2_hidden(sK1059(X0,X1),X1) ) )
& m1_subset_1(sK1059(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK1058(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,[sK1058,sK1059]),skolemize(X2,sK1058(X0,X1)),skolemize(X3,sK1059(X0,X1))],[f7859]) ).
fof(f7861,plain,
( ~ m2_filter_2(sK1062,sK1061)
& m2_filter_2(sK1062,sK1060)
& g3_lattices(u1_struct_0(sK1060),u2_lattices(sK1060),u1_lattices(sK1060)) = g3_lattices(u1_struct_0(sK1061),u2_lattices(sK1061),u1_lattices(sK1061))
& ~ v3_struct_0(sK1061)
& v10_lattices(sK1061)
& l3_lattices(sK1061)
& ~ v3_struct_0(sK1060)
& v10_lattices(sK1060)
& l3_lattices(sK1060) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1060,sK1061,sK1062]),skolemize(X0,sK1060),skolemize(X1,sK1061),skolemize(X2,sK1062)],[f6143]) ).
fof(f7989,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f3050]) ).
fof(f8650,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f3365]) ).
fof(f12704,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f5675]) ).
fof(f12748,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,[],[f5741]) ).
fof(f13087,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5990]) ).
fof(f13116,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6022]) ).
fof(f13117,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,[],[f6022]) ).
fof(f13180,plain,
! [X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| k1_lattice2(X0) = k1_lattice2(X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6119]) ).
fof(f13200,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,[],[f7857]) ).
fof(f13201,plain,
! [X0,X1,X4,X5] :
( ~ r2_hidden(k3_lattices(X0,X4,X5),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,[],[f7857]) ).
fof(f13202,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)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f7857]) ).
fof(f13208,plain,
! [X0,X1] :
( m1_subset_1(sK1058(X0,X1),u1_struct_0(X0))
| m2_filter_2(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f7860]) ).
fof(f13209,plain,
! [X0,X1] :
( m1_subset_1(sK1059(X0,X1),u1_struct_0(X0))
| m2_filter_2(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f7860]) ).
fof(f13210,plain,
! [X0,X1] :
( r2_hidden(k3_lattices(X0,sK1058(X0,X1),sK1059(X0,X1)),X1)
| m2_filter_2(X1,X0)
| r2_hidden(sK1059(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,[],[f7860]) ).
fof(f13211,plain,
! [X0,X1] :
( r2_hidden(k3_lattices(X0,sK1058(X0,X1),sK1059(X0,X1)),X1)
| m2_filter_2(X1,X0)
| r2_hidden(sK1058(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,[],[f7860]) ).
fof(f13212,plain,
! [X0,X1] :
( ~ r2_hidden(k3_lattices(X0,sK1058(X0,X1),sK1059(X0,X1)),X1)
| m2_filter_2(X1,X0)
| ~ r2_hidden(sK1058(X0,X1),X1)
| ~ r2_hidden(sK1059(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,[],[f7860]) ).
fof(f13214,plain,
l3_lattices(sK1060),
inference(cnf_transformation,[],[f7861]) ).
fof(f13215,plain,
v10_lattices(sK1060),
inference(cnf_transformation,[],[f7861]) ).
fof(f13216,plain,
~ v3_struct_0(sK1060),
inference(cnf_transformation,[],[f7861]) ).
fof(f13217,plain,
l3_lattices(sK1061),
inference(cnf_transformation,[],[f7861]) ).
fof(f13218,plain,
v10_lattices(sK1061),
inference(cnf_transformation,[],[f7861]) ).
fof(f13219,plain,
~ v3_struct_0(sK1061),
inference(cnf_transformation,[],[f7861]) ).
fof(f13220,plain,
g3_lattices(u1_struct_0(sK1060),u2_lattices(sK1060),u1_lattices(sK1060)) = g3_lattices(u1_struct_0(sK1061),u2_lattices(sK1061),u1_lattices(sK1061)),
inference(cnf_transformation,[],[f7861]) ).
fof(f13221,plain,
m2_filter_2(sK1062,sK1060),
inference(cnf_transformation,[],[f7861]) ).
fof(f13222,plain,
~ m2_filter_2(sK1062,sK1061),
inference(cnf_transformation,[],[f7861]) ).
fof(f15092,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,[],[f12748]) ).
fof(f15093,plain,
! [X3,X0,X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| k4_lattices(k1_lattice2(X0),X3,X4) = k3_lattices(X0,X3,X4)
| ~ 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)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f15092]) ).
fof(f15140,definition,
sF1063 = u1_struct_0(sK1060),
introduced(definition,[new_symbols(definition,[sF1063])],[function_definition]) ).
fof(f15141,plain,
u1_struct_0(sK1060) = sF1063,
inference(reorient_equations,[],[f15140]) ).
fof(f15142,definition,
sF1064 = u2_lattices(sK1060),
introduced(definition,[new_symbols(definition,[sF1064])],[function_definition]) ).
fof(f15143,plain,
u2_lattices(sK1060) = sF1064,
inference(reorient_equations,[],[f15142]) ).
fof(f15144,definition,
sF1065 = u1_lattices(sK1060),
introduced(definition,[new_symbols(definition,[sF1065])],[function_definition]) ).
fof(f15145,plain,
u1_lattices(sK1060) = sF1065,
inference(reorient_equations,[],[f15144]) ).
fof(f15146,definition,
sF1066 = g3_lattices(sF1063,sF1064,sF1065),
introduced(definition,[new_symbols(definition,[sF1066])],[function_definition]) ).
fof(f15147,plain,
g3_lattices(sF1063,sF1064,sF1065) = sF1066,
inference(reorient_equations,[],[f15146]) ).
fof(f15148,definition,
sF1067 = u1_struct_0(sK1061),
introduced(definition,[new_symbols(definition,[sF1067])],[function_definition]) ).
fof(f15149,plain,
u1_struct_0(sK1061) = sF1067,
inference(reorient_equations,[],[f15148]) ).
fof(f15150,definition,
sF1068 = u2_lattices(sK1061),
introduced(definition,[new_symbols(definition,[sF1068])],[function_definition]) ).
fof(f15151,plain,
u2_lattices(sK1061) = sF1068,
inference(reorient_equations,[],[f15150]) ).
fof(f15152,definition,
sF1069 = u1_lattices(sK1061),
introduced(definition,[new_symbols(definition,[sF1069])],[function_definition]) ).
fof(f15153,plain,
u1_lattices(sK1061) = sF1069,
inference(reorient_equations,[],[f15152]) ).
fof(f15154,definition,
sF1070 = g3_lattices(sF1067,sF1068,sF1069),
introduced(definition,[new_symbols(definition,[sF1070])],[function_definition]) ).
fof(f15155,plain,
g3_lattices(sF1067,sF1068,sF1069) = sF1070,
inference(reorient_equations,[],[f15154]) ).
fof(f15156,plain,
sF1066 = sF1070,
inference(definition_folding,[],[f13220,f15155,f15153,f15151,f15149,f15147,f15145,f15143,f15141]) ).
fof(f17088,plain,
sF1066 = g3_lattices(sF1067,sF1068,sF1069),
inference(forward_demodulation,[],[f15155,f15156]) ).
fof(f17726,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK1060),u2_lattices(sK1060),sF1065)
| k1_lattice2(X0) = k1_lattice2(sK1060)
| ~ l3_lattices(sK1060)
| ~ l3_lattices(X0) ),
inference(superposition,[],[f13180,f15145]) ).
fof(f17729,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK1060),u2_lattices(sK1060),sF1065)
| k1_lattice2(X0) = k1_lattice2(sK1060)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f17726,f13214]) ).
fof(f17741,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK1060),sF1064,sF1065)
| k1_lattice2(X0) = k1_lattice2(sK1060)
| ~ l3_lattices(X0) ),
inference(forward_demodulation,[],[f17729,f15143]) ).
fof(f17753,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(sF1063,sF1064,sF1065)
| k1_lattice2(X0) = k1_lattice2(sK1060)
| ~ l3_lattices(X0) ),
inference(forward_demodulation,[],[f17741,f15141]) ).
fof(f17765,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != sF1066
| k1_lattice2(X0) = k1_lattice2(sK1060)
| ~ l3_lattices(X0) ),
inference(forward_demodulation,[],[f17753,f15147]) ).
fof(f17779,plain,
( sF1066 != g3_lattices(u1_struct_0(sK1061),u2_lattices(sK1061),sF1069)
| k1_lattice2(sK1060) = k1_lattice2(sK1061)
| ~ l3_lattices(sK1061) ),
inference(superposition,[],[f17765,f15153]) ).
fof(f17780,plain,
( sF1066 != g3_lattices(u1_struct_0(sK1061),u2_lattices(sK1061),sF1069)
| k1_lattice2(sK1060) = k1_lattice2(sK1061) ),
inference(forward_subsumption_resolution,[],[f17779,f13217]) ).
fof(f17783,plain,
( sF1066 != g3_lattices(u1_struct_0(sK1061),sF1068,sF1069)
| k1_lattice2(sK1060) = k1_lattice2(sK1061) ),
inference(forward_demodulation,[],[f17780,f15151]) ).
fof(f17786,plain,
( sF1066 != g3_lattices(sF1067,sF1068,sF1069)
| k1_lattice2(sK1060) = k1_lattice2(sK1061) ),
inference(forward_demodulation,[],[f17783,f15149]) ).
fof(f17789,plain,
k1_lattice2(sK1060) = k1_lattice2(sK1061),
inference(forward_subsumption_resolution,[],[f17786,f17088]) ).
fof(f17796,plain,
( m2_lattice4(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060) ),
inference(resolution,[],[f13116,f13221]) ).
fof(f17797,plain,
( m2_lattice4(sK1062,sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060) ),
inference(forward_subsumption_resolution,[],[f17796,f13216]) ).
fof(f17798,plain,
( m2_lattice4(sK1062,sK1060)
| ~ l3_lattices(sK1060) ),
inference(forward_subsumption_resolution,[],[f17797,f13215]) ).
fof(f17799,plain,
m2_lattice4(sK1062,sK1060),
inference(forward_subsumption_resolution,[],[f17798,f13214]) ).
fof(f17800,plain,
( ~ v1_xboole_0(sK1062)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060) ),
inference(resolution,[],[f13117,f13221]) ).
fof(f17806,plain,
( ~ v1_xboole_0(sK1062)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060) ),
inference(forward_subsumption_resolution,[],[f17800,f13216]) ).
fof(f17807,plain,
( ~ v1_xboole_0(sK1062)
| ~ l3_lattices(sK1060) ),
inference(forward_subsumption_resolution,[],[f17806,f13215]) ).
fof(f17808,plain,
~ v1_xboole_0(sK1062),
inference(forward_subsumption_resolution,[],[f17807,f13214]) ).
fof(f17809,plain,
( v3_struct_0(sK1060)
| u1_struct_0(sK1060) = u1_struct_0(k1_lattice2(sK1060)) ),
inference(resolution,[],[f12704,f13214]) ).
fof(f17810,plain,
( v3_struct_0(sK1061)
| u1_struct_0(sK1061) = u1_struct_0(k1_lattice2(sK1061)) ),
inference(resolution,[],[f12704,f13217]) ).
fof(f17811,plain,
u1_struct_0(sK1061) = u1_struct_0(k1_lattice2(sK1061)),
inference(forward_subsumption_resolution,[],[f17810,f13219]) ).
fof(f17812,plain,
u1_struct_0(sK1060) = u1_struct_0(k1_lattice2(sK1060)),
inference(forward_subsumption_resolution,[],[f17809,f13216]) ).
fof(f17813,plain,
u1_struct_0(sK1061) = u1_struct_0(k1_lattice2(sK1060)),
inference(forward_demodulation,[],[f17811,f17789]) ).
fof(f17814,plain,
sF1063 = u1_struct_0(k1_lattice2(sK1060)),
inference(forward_demodulation,[],[f17812,f15141]) ).
fof(f17815,plain,
sF1067 = u1_struct_0(k1_lattice2(sK1060)),
inference(forward_demodulation,[],[f17813,f15149]) ).
fof(f17816,plain,
sF1063 = sF1067,
inference(forward_demodulation,[],[f17815,f17814]) ).
fof(f17909,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF1063))
| ~ m2_lattice4(X0,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060) ),
inference(superposition,[],[f13087,f15141]) ).
fof(f17911,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF1063))
| ~ m2_lattice4(X0,sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060) ),
inference(forward_subsumption_resolution,[],[f17909,f13216]) ).
fof(f17913,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF1063))
| ~ m2_lattice4(X0,sK1060)
| ~ l3_lattices(sK1060) ),
inference(forward_subsumption_resolution,[],[f17911,f13215]) ).
fof(f17915,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF1063))
| ~ m2_lattice4(X0,sK1060) ),
inference(forward_subsumption_resolution,[],[f17913,f13214]) ).
fof(f17921,plain,
! [X0] :
( m1_subset_1(sK1059(sK1061,X0),sF1067)
| m2_filter_2(X0,sK1061)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1067))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061) ),
inference(superposition,[],[f13209,f15149]) ).
fof(f17925,plain,
! [X0] :
( m1_subset_1(sK1059(sK1061,X0),sF1067)
| m2_filter_2(X0,sK1061)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1067))
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061) ),
inference(forward_subsumption_resolution,[],[f17921,f13219]) ).
fof(f17927,plain,
! [X0] :
( m1_subset_1(sK1059(sK1061,X0),sF1067)
| m2_filter_2(X0,sK1061)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1067))
| ~ l3_lattices(sK1061) ),
inference(forward_subsumption_resolution,[],[f17925,f13218]) ).
fof(f17929,plain,
! [X0] :
( m1_subset_1(sK1059(sK1061,X0),sF1067)
| m2_filter_2(X0,sK1061)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1067)) ),
inference(forward_subsumption_resolution,[],[f17927,f13217]) ).
fof(f17930,plain,
! [X0] :
( m1_subset_1(sK1059(sK1061,X0),sF1063)
| m2_filter_2(X0,sK1061)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1067)) ),
inference(forward_demodulation,[],[f17929,f17816]) ).
fof(f17931,plain,
! [X0] :
( m1_subset_1(sK1059(sK1061,X0),sF1063)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1063))
| m2_filter_2(X0,sK1061)
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f17930,f17816]) ).
fof(f17932,plain,
! [X0] :
( m1_subset_1(sK1058(sK1061,X0),sF1067)
| m2_filter_2(X0,sK1061)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1067))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061) ),
inference(superposition,[],[f13208,f15149]) ).
fof(f17936,plain,
! [X0] :
( m1_subset_1(sK1058(sK1061,X0),sF1067)
| m2_filter_2(X0,sK1061)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1067))
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061) ),
inference(forward_subsumption_resolution,[],[f17932,f13219]) ).
fof(f17938,plain,
! [X0] :
( m1_subset_1(sK1058(sK1061,X0),sF1067)
| m2_filter_2(X0,sK1061)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1067))
| ~ l3_lattices(sK1061) ),
inference(forward_subsumption_resolution,[],[f17936,f13218]) ).
fof(f17940,plain,
! [X0] :
( m1_subset_1(sK1058(sK1061,X0),sF1067)
| m2_filter_2(X0,sK1061)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1067)) ),
inference(forward_subsumption_resolution,[],[f17938,f13217]) ).
fof(f17941,plain,
! [X0] :
( m1_subset_1(sK1058(sK1061,X0),sF1063)
| m2_filter_2(X0,sK1061)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1067)) ),
inference(forward_demodulation,[],[f17940,f17816]) ).
fof(f17942,plain,
! [X0] :
( m1_subset_1(sK1058(sK1061,X0),sF1063)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF1063))
| m2_filter_2(X0,sK1061)
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f17941,f17816]) ).
fof(f21127,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1060)))
| k3_lattices(sK1061,X1,X0) = k4_lattices(k1_lattice2(sK1060),X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1060)))
| ~ m1_subset_1(X0,u1_struct_0(sK1061))
| ~ m1_subset_1(X1,u1_struct_0(sK1061))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061) ),
inference(superposition,[],[f15093,f17789]) ).
fof(f21129,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1063)
| k4_lattices(k1_lattice2(sK1060),X1,X0) = k3_lattices(sK1060,X1,X0)
| ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X0,u1_struct_0(sK1060))
| ~ m1_subset_1(X1,u1_struct_0(sK1060))
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060) ),
inference(superposition,[],[f15093,f17814]) ).
fof(f21132,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1063)
| k4_lattices(k1_lattice2(sK1060),X1,X0) = k3_lattices(sK1060,X1,X0)
| ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X0,u1_struct_0(sK1060))
| ~ m1_subset_1(X1,u1_struct_0(sK1060))
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060) ),
inference(forward_subsumption_resolution,[],[f21129,f13216]) ).
fof(f21134,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1060)))
| k3_lattices(sK1061,X1,X0) = k4_lattices(k1_lattice2(sK1060),X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1060)))
| ~ m1_subset_1(X0,u1_struct_0(sK1061))
| ~ m1_subset_1(X1,u1_struct_0(sK1061))
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061) ),
inference(forward_subsumption_resolution,[],[f21127,f13219]) ).
fof(f21142,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1063)
| k4_lattices(k1_lattice2(sK1060),X1,X0) = k3_lattices(sK1060,X1,X0)
| ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X0,u1_struct_0(sK1060))
| ~ m1_subset_1(X1,u1_struct_0(sK1060))
| ~ l3_lattices(sK1060) ),
inference(forward_subsumption_resolution,[],[f21132,f13215]) ).
fof(f21144,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1060)))
| k3_lattices(sK1061,X1,X0) = k4_lattices(k1_lattice2(sK1060),X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1060)))
| ~ m1_subset_1(X0,u1_struct_0(sK1061))
| ~ m1_subset_1(X1,u1_struct_0(sK1061))
| ~ l3_lattices(sK1061) ),
inference(forward_subsumption_resolution,[],[f21134,f13218]) ).
fof(f21152,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1063)
| k4_lattices(k1_lattice2(sK1060),X1,X0) = k3_lattices(sK1060,X1,X0)
| ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X0,u1_struct_0(sK1060))
| ~ m1_subset_1(X1,u1_struct_0(sK1060)) ),
inference(forward_subsumption_resolution,[],[f21142,f13214]) ).
fof(f21154,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1060)))
| k3_lattices(sK1061,X1,X0) = k4_lattices(k1_lattice2(sK1060),X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1060)))
| ~ m1_subset_1(X0,u1_struct_0(sK1061))
| ~ m1_subset_1(X1,u1_struct_0(sK1061)) ),
inference(forward_subsumption_resolution,[],[f21144,f13217]) ).
fof(f21158,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1063)
| ~ m1_subset_1(X0,sF1063)
| k4_lattices(k1_lattice2(sK1060),X1,X0) = k3_lattices(sK1060,X1,X0)
| ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X1,u1_struct_0(sK1060)) ),
inference(forward_demodulation,[],[f21152,f15141]) ).
fof(f21159,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1063)
| k4_lattices(k1_lattice2(sK1060),X1,X0) = k3_lattices(sK1060,X1,X0)
| ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X1,u1_struct_0(sK1060)) ),
inference(duplicate_literal_removal,[],[f21158]) ).
fof(f21161,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1063)
| k3_lattices(sK1061,X1,X0) = k4_lattices(k1_lattice2(sK1060),X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1060)))
| ~ m1_subset_1(X0,u1_struct_0(sK1061))
| ~ m1_subset_1(X1,u1_struct_0(sK1061)) ),
inference(forward_demodulation,[],[f21154,f17814]) ).
fof(f21166,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X0,sF1063)
| k4_lattices(k1_lattice2(sK1060),X1,X0) = k3_lattices(sK1060,X1,X0)
| ~ m1_subset_1(X1,sF1063) ),
inference(forward_demodulation,[],[f21159,f15141]) ).
fof(f21167,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X0,sF1063)
| k4_lattices(k1_lattice2(sK1060),X1,X0) = k3_lattices(sK1060,X1,X0) ),
inference(duplicate_literal_removal,[],[f21166]) ).
fof(f21169,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X0,sF1063)
| k3_lattices(sK1061,X1,X0) = k4_lattices(k1_lattice2(sK1060),X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK1061))
| ~ m1_subset_1(X1,u1_struct_0(sK1061)) ),
inference(forward_demodulation,[],[f21161,f17814]) ).
fof(f21177,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1067)
| ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X0,sF1063)
| k3_lattices(sK1061,X1,X0) = k4_lattices(k1_lattice2(sK1060),X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK1061)) ),
inference(forward_demodulation,[],[f21169,f15149]) ).
fof(f21181,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1063)
| ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X0,sF1063)
| k3_lattices(sK1061,X1,X0) = k4_lattices(k1_lattice2(sK1060),X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK1061)) ),
inference(forward_demodulation,[],[f21177,f17816]) ).
fof(f21182,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1063)
| ~ m1_subset_1(X1,sF1063)
| k3_lattices(sK1061,X1,X0) = k4_lattices(k1_lattice2(sK1060),X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK1061)) ),
inference(duplicate_literal_removal,[],[f21181]) ).
fof(f21187,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF1067)
| ~ m1_subset_1(X0,sF1063)
| ~ m1_subset_1(X1,sF1063)
| k3_lattices(sK1061,X1,X0) = k4_lattices(k1_lattice2(sK1060),X1,X0) ),
inference(forward_demodulation,[],[f21182,f15149]) ).
fof(f21189,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X0,sF1063)
| ~ m1_subset_1(X1,sF1063)
| k3_lattices(sK1061,X1,X0) = k4_lattices(k1_lattice2(sK1060),X1,X0) ),
inference(forward_demodulation,[],[f21187,f17816]) ).
fof(f21190,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF1063)
| ~ m1_subset_1(X0,sF1063)
| k3_lattices(sK1061,X1,X0) = k4_lattices(k1_lattice2(sK1060),X1,X0) ),
inference(duplicate_literal_removal,[],[f21189]) ).
fof(f21797,plain,
! [X2,X0,X1] :
( ~ m2_lattice4(X1,X2)
| m1_subset_1(X0,u1_struct_0(X2))
| ~ r2_hidden(X0,X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(resolution,[],[f8650,f13087]) ).
fof(f24689,definition,
( spl1071_540
<=> m1_subset_1(sK1058(sK1061,sK1062),sF1063) ),
introduced(definition,[new_symbols(definition,[spl1071_540])],[avatar_definition]) ).
fof(f24690,plain,
( m1_subset_1(sK1058(sK1061,sK1062),sF1063)
| ~ spl1071_540 ),
inference(avatar_component_clause,[],[f24689]) ).
fof(f24691,plain,
( ~ m1_subset_1(sK1058(sK1061,sK1062),sF1063)
| spl1071_540 ),
inference(avatar_component_clause,[],[f24689]) ).
fof(f24693,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1063))
| m2_filter_2(sK1062,sK1061)
| v1_xboole_0(sK1062)
| spl1071_540 ),
inference(resolution,[],[f24691,f17942]) ).
fof(f24694,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1063))
| v1_xboole_0(sK1062)
| spl1071_540 ),
inference(forward_subsumption_resolution,[],[f24693,f13222]) ).
fof(f24695,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1063))
| spl1071_540 ),
inference(forward_subsumption_resolution,[],[f24694,f17808]) ).
fof(f24701,plain,
( ~ m2_lattice4(sK1062,sK1060)
| spl1071_540 ),
inference(resolution,[],[f24695,f17915]) ).
fof(f24705,plain,
( $false
| spl1071_540 ),
inference(forward_subsumption_resolution,[],[f24701,f17799]) ).
fof(f24706,plain,
spl1071_540,
inference(avatar_contradiction_clause,[],[f24705]) ).
fof(f24707,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1063)
| k4_lattices(k1_lattice2(sK1060),sK1058(sK1061,sK1062),X0) = k3_lattices(sK1060,sK1058(sK1061,sK1062),X0) )
| ~ spl1071_540 ),
inference(resolution,[],[f24690,f21167]) ).
fof(f24708,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1063)
| k4_lattices(k1_lattice2(sK1060),sK1058(sK1061,sK1062),X0) = k3_lattices(sK1061,sK1058(sK1061,sK1062),X0) )
| ~ spl1071_540 ),
inference(resolution,[],[f24690,f21190]) ).
fof(f24984,definition,
( spl1071_547
<=> m1_subset_1(sK1059(sK1061,sK1062),sF1063) ),
introduced(definition,[new_symbols(definition,[spl1071_547])],[avatar_definition]) ).
fof(f24985,plain,
( m1_subset_1(sK1059(sK1061,sK1062),sF1063)
| ~ spl1071_547 ),
inference(avatar_component_clause,[],[f24984]) ).
fof(f24986,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),sF1063)
| spl1071_547 ),
inference(avatar_component_clause,[],[f24984]) ).
fof(f24988,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1063))
| m2_filter_2(sK1062,sK1061)
| v1_xboole_0(sK1062)
| spl1071_547 ),
inference(resolution,[],[f24986,f17931]) ).
fof(f24989,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1063))
| v1_xboole_0(sK1062)
| spl1071_547 ),
inference(forward_subsumption_resolution,[],[f24988,f13222]) ).
fof(f24990,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1063))
| spl1071_547 ),
inference(forward_subsumption_resolution,[],[f24989,f17808]) ).
fof(f24996,plain,
( ~ m2_lattice4(sK1062,sK1060)
| spl1071_547 ),
inference(resolution,[],[f24990,f17915]) ).
fof(f25000,plain,
( $false
| spl1071_547 ),
inference(forward_subsumption_resolution,[],[f24996,f17799]) ).
fof(f25001,plain,
spl1071_547,
inference(avatar_contradiction_clause,[],[f25000]) ).
fof(f25939,plain,
( k4_lattices(k1_lattice2(sK1060),sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)) = k3_lattices(sK1061,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062))
| ~ spl1071_540
| ~ spl1071_547 ),
inference(resolution,[],[f24708,f24985]) ).
fof(f26774,definition,
( spl1071_563
<=> r2_hidden(sK1059(sK1061,sK1062),sK1062) ),
introduced(definition,[new_symbols(definition,[spl1071_563])],[avatar_definition]) ).
fof(f26775,plain,
( r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ spl1071_563 ),
inference(avatar_component_clause,[],[f26774]) ).
fof(f26776,plain,
( ~ r2_hidden(sK1059(sK1061,sK1062),sK1062)
| spl1071_563 ),
inference(avatar_component_clause,[],[f26774]) ).
fof(f27940,plain,
( k4_lattices(k1_lattice2(sK1060),sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)) = k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062))
| ~ spl1071_540
| ~ spl1071_547 ),
inference(resolution,[],[f24707,f24985]) ).
fof(f27941,plain,
( k3_lattices(sK1061,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)) = k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062))
| ~ spl1071_540
| ~ spl1071_547 ),
inference(forward_demodulation,[],[f27940,f25939]) ).
fof(f28067,plain,
( ~ r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| m2_filter_2(sK1062,sK1061)
| ~ r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ r2_hidden(sK1059(sK1061,sK1062),sK1062)
| v1_xboole_0(sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547 ),
inference(superposition,[],[f13212,f27941]) ).
fof(f28068,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| m2_filter_2(sK1062,sK1061)
| r2_hidden(sK1058(sK1061,sK1062),sK1062)
| v1_xboole_0(sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547 ),
inference(superposition,[],[f13211,f27941]) ).
fof(f28069,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| m2_filter_2(sK1062,sK1061)
| r2_hidden(sK1059(sK1061,sK1062),sK1062)
| v1_xboole_0(sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547 ),
inference(superposition,[],[f13210,f27941]) ).
fof(f28076,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| r2_hidden(sK1059(sK1061,sK1062),sK1062)
| v1_xboole_0(sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547 ),
inference(forward_subsumption_resolution,[],[f28069,f13222]) ).
fof(f28077,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| r2_hidden(sK1058(sK1061,sK1062),sK1062)
| v1_xboole_0(sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547 ),
inference(forward_subsumption_resolution,[],[f28068,f13222]) ).
fof(f28078,plain,
( ~ r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| m2_filter_2(sK1062,sK1061)
| ~ r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547 ),
inference(forward_subsumption_resolution,[],[f28067,f7989]) ).
fof(f28084,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| v1_xboole_0(sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547
| spl1071_563 ),
inference(forward_subsumption_resolution,[],[f28076,f26776]) ).
fof(f28085,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547 ),
inference(forward_subsumption_resolution,[],[f28077,f17808]) ).
fof(f28091,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547
| spl1071_563 ),
inference(forward_subsumption_resolution,[],[f28084,f17808]) ).
fof(f28092,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547 ),
inference(forward_subsumption_resolution,[],[f28085,f13219]) ).
fof(f28098,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547
| spl1071_563 ),
inference(forward_subsumption_resolution,[],[f28091,f13219]) ).
fof(f28099,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547 ),
inference(forward_subsumption_resolution,[],[f28092,f13218]) ).
fof(f28105,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547
| spl1071_563 ),
inference(forward_subsumption_resolution,[],[f28098,f13218]) ).
fof(f28106,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| ~ spl1071_540
| ~ spl1071_547 ),
inference(forward_subsumption_resolution,[],[f28099,f13217]) ).
fof(f28112,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| ~ spl1071_540
| ~ spl1071_547
| spl1071_563 ),
inference(forward_subsumption_resolution,[],[f28105,f13217]) ).
fof(f28113,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1067))
| r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ spl1071_540
| ~ spl1071_547 ),
inference(forward_demodulation,[],[f28106,f15149]) ).
fof(f28119,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1067))
| r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ spl1071_540
| ~ spl1071_547
| spl1071_563 ),
inference(forward_demodulation,[],[f28112,f15149]) ).
fof(f28120,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1063))
| r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ spl1071_540
| ~ spl1071_547 ),
inference(forward_demodulation,[],[f28113,f17816]) ).
fof(f28122,definition,
( spl1071_652
<=> r2_hidden(sK1058(sK1061,sK1062),sK1062) ),
introduced(definition,[new_symbols(definition,[spl1071_652])],[avatar_definition]) ).
fof(f28123,plain,
( ~ r2_hidden(sK1058(sK1061,sK1062),sK1062)
| spl1071_652 ),
inference(avatar_component_clause,[],[f28122]) ).
fof(f28124,plain,
( r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ spl1071_652 ),
inference(avatar_component_clause,[],[f28122]) ).
fof(f28130,definition,
( spl1071_654
<=> m1_subset_1(sK1062,k1_zfmisc_1(sF1063)) ),
introduced(definition,[new_symbols(definition,[spl1071_654])],[avatar_definition]) ).
fof(f28131,plain,
( m1_subset_1(sK1062,k1_zfmisc_1(sF1063))
| ~ spl1071_654 ),
inference(avatar_component_clause,[],[f28130]) ).
fof(f28132,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1063))
| spl1071_654 ),
inference(avatar_component_clause,[],[f28130]) ).
fof(f28137,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1063))
| r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ spl1071_540
| ~ spl1071_547
| spl1071_563 ),
inference(forward_demodulation,[],[f28119,f17816]) ).
fof(f28139,definition,
( spl1071_655
<=> r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062) ),
introduced(definition,[new_symbols(definition,[spl1071_655])],[avatar_definition]) ).
fof(f28140,plain,
( ~ r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| spl1071_655 ),
inference(avatar_component_clause,[],[f28139]) ).
fof(f28141,plain,
( r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ spl1071_655 ),
inference(avatar_component_clause,[],[f28139]) ).
fof(f28142,plain,
( spl1071_652
| spl1071_655
| ~ spl1071_654
| ~ spl1071_540
| ~ spl1071_547 ),
inference(avatar_split_clause,[],[f28120,f24984,f24689,f28130,f28139,f28122]) ).
fof(f28146,plain,
( spl1071_655
| ~ spl1071_654
| ~ spl1071_540
| ~ spl1071_547
| spl1071_563 ),
inference(avatar_split_clause,[],[f28137,f26774,f24984,f24689,f28130,f28139]) ).
fof(f28156,plain,
( ~ m2_lattice4(sK1062,sK1060)
| spl1071_654 ),
inference(resolution,[],[f28132,f17915]) ).
fof(f28160,plain,
( $false
| spl1071_654 ),
inference(forward_subsumption_resolution,[],[f28156,f17799]) ).
fof(f28161,plain,
spl1071_654,
inference(avatar_contradiction_clause,[],[f28160]) ).
fof(f28162,plain,
( ~ r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547 ),
inference(forward_subsumption_resolution,[],[f28078,f13222]) ).
fof(f28163,plain,
( ~ r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547
| ~ spl1071_652 ),
inference(forward_subsumption_resolution,[],[f28162,f28124]) ).
fof(f28164,plain,
( ~ r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| v3_struct_0(sK1061)
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547
| ~ spl1071_563
| ~ spl1071_652 ),
inference(forward_subsumption_resolution,[],[f28163,f26775]) ).
fof(f28165,plain,
( ~ r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| ~ v10_lattices(sK1061)
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547
| ~ spl1071_563
| ~ spl1071_652 ),
inference(forward_subsumption_resolution,[],[f28164,f13219]) ).
fof(f28166,plain,
( ~ r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| ~ l3_lattices(sK1061)
| ~ spl1071_540
| ~ spl1071_547
| ~ spl1071_563
| ~ spl1071_652 ),
inference(forward_subsumption_resolution,[],[f28165,f13218]) ).
fof(f28167,plain,
( ~ r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ m1_subset_1(sK1062,k1_zfmisc_1(u1_struct_0(sK1061)))
| ~ spl1071_540
| ~ spl1071_547
| ~ spl1071_563
| ~ spl1071_652 ),
inference(forward_subsumption_resolution,[],[f28166,f13217]) ).
fof(f28168,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1067))
| ~ r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ spl1071_540
| ~ spl1071_547
| ~ spl1071_563
| ~ spl1071_652 ),
inference(forward_demodulation,[],[f28167,f15149]) ).
fof(f28169,plain,
( ~ m1_subset_1(sK1062,k1_zfmisc_1(sF1063))
| ~ r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ spl1071_540
| ~ spl1071_547
| ~ spl1071_563
| ~ spl1071_652 ),
inference(forward_demodulation,[],[f28168,f17816]) ).
fof(f28170,plain,
( ~ r2_hidden(k3_lattices(sK1060,sK1058(sK1061,sK1062),sK1059(sK1061,sK1062)),sK1062)
| ~ spl1071_540
| ~ spl1071_547
| ~ spl1071_563
| ~ spl1071_652
| ~ spl1071_654 ),
inference(forward_subsumption_resolution,[],[f28169,f28131]) ).
fof(f28171,plain,
( ~ spl1071_655
| ~ spl1071_540
| ~ spl1071_547
| ~ spl1071_563
| ~ spl1071_652
| ~ spl1071_654 ),
inference(avatar_split_clause,[],[f28170,f28130,f28122,f26774,f24984,f24689,f28139]) ).
fof(f28239,plain,
( ~ r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m2_filter_2(sK1062,sK1060)
| v1_xboole_0(sK1062)
| ~ m2_lattice4(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| spl1071_655 ),
inference(resolution,[],[f28140,f13200]) ).
fof(f28240,plain,
( ~ r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m2_filter_2(sK1062,sK1060)
| v1_xboole_0(sK1062)
| ~ m2_lattice4(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28239,f21797]) ).
fof(f28241,plain,
( ~ r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ m2_filter_2(sK1062,sK1060)
| v1_xboole_0(sK1062)
| ~ m2_lattice4(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28240,f21797]) ).
fof(f28242,plain,
( ~ r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ m2_filter_2(sK1062,sK1060)
| ~ m2_lattice4(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28241,f7989]) ).
fof(f28243,plain,
( ~ r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ m2_filter_2(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28242,f13116]) ).
fof(f28244,plain,
( ~ r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ m2_filter_2(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| ~ spl1071_652
| spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28243,f28124]) ).
fof(f28245,plain,
( ~ m2_filter_2(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| ~ spl1071_563
| ~ spl1071_652
| spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28244,f26775]) ).
fof(f28246,plain,
( v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| ~ spl1071_563
| ~ spl1071_652
| spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28245,f13221]) ).
fof(f28247,plain,
( ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| ~ spl1071_563
| ~ spl1071_652
| spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28246,f13216]) ).
fof(f28248,plain,
( ~ l3_lattices(sK1060)
| ~ spl1071_563
| ~ spl1071_652
| spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28247,f13215]) ).
fof(f28249,plain,
( $false
| ~ spl1071_563
| ~ spl1071_652
| spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28248,f13214]) ).
fof(f28250,plain,
( ~ spl1071_563
| ~ spl1071_652
| spl1071_655 ),
inference(avatar_contradiction_clause,[],[f28249]) ).
fof(f28251,plain,
( r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m2_filter_2(sK1062,sK1060)
| v1_xboole_0(sK1062)
| ~ m2_lattice4(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| ~ spl1071_655 ),
inference(resolution,[],[f28141,f13202]) ).
fof(f28252,plain,
( r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m2_filter_2(sK1062,sK1060)
| v1_xboole_0(sK1062)
| ~ m2_lattice4(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| ~ spl1071_655 ),
inference(resolution,[],[f28141,f13201]) ).
fof(f28257,plain,
( r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m2_filter_2(sK1062,sK1060)
| ~ m2_lattice4(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28251,f13117]) ).
fof(f28258,plain,
( r2_hidden(sK1058(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m2_filter_2(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28257,f13116]) ).
fof(f28259,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m2_filter_2(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| spl1071_652
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28258,f28123]) ).
fof(f28260,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| spl1071_652
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28259,f13221]) ).
fof(f28261,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| spl1071_652
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28260,f13216]) ).
fof(f28262,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ l3_lattices(sK1060)
| spl1071_652
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28261,f13215]) ).
fof(f28263,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| spl1071_652
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28262,f13214]) ).
fof(f28264,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),sF1063)
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| spl1071_652
| ~ spl1071_655 ),
inference(forward_demodulation,[],[f28263,f15141]) ).
fof(f28265,plain,
( ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ spl1071_547
| spl1071_652
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28264,f24985]) ).
fof(f28266,plain,
( ~ m1_subset_1(sK1058(sK1061,sK1062),sF1063)
| ~ spl1071_547
| spl1071_652
| ~ spl1071_655 ),
inference(forward_demodulation,[],[f28265,f15141]) ).
fof(f28267,plain,
( $false
| ~ spl1071_540
| ~ spl1071_547
| spl1071_652
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28266,f24690]) ).
fof(f28268,plain,
( ~ spl1071_540
| ~ spl1071_547
| spl1071_652
| ~ spl1071_655 ),
inference(avatar_contradiction_clause,[],[f28267]) ).
fof(f28269,plain,
( r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m2_filter_2(sK1062,sK1060)
| ~ m2_lattice4(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28252,f13117]) ).
fof(f28270,plain,
( r2_hidden(sK1059(sK1061,sK1062),sK1062)
| ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m2_filter_2(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28269,f13116]) ).
fof(f28271,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m2_filter_2(sK1062,sK1060)
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| spl1071_563
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28270,f26776]) ).
fof(f28272,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| v3_struct_0(sK1060)
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| spl1071_563
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28271,f13221]) ).
fof(f28273,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ v10_lattices(sK1060)
| ~ l3_lattices(sK1060)
| spl1071_563
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28272,f13216]) ).
fof(f28274,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ l3_lattices(sK1060)
| spl1071_563
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28273,f13215]) ).
fof(f28275,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),u1_struct_0(sK1060))
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| spl1071_563
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28274,f13214]) ).
fof(f28276,plain,
( ~ m1_subset_1(sK1059(sK1061,sK1062),sF1063)
| ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| spl1071_563
| ~ spl1071_655 ),
inference(forward_demodulation,[],[f28275,f15141]) ).
fof(f28277,plain,
( ~ m1_subset_1(sK1058(sK1061,sK1062),u1_struct_0(sK1060))
| ~ spl1071_547
| spl1071_563
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28276,f24985]) ).
fof(f28278,plain,
( ~ m1_subset_1(sK1058(sK1061,sK1062),sF1063)
| ~ spl1071_547
| spl1071_563
| ~ spl1071_655 ),
inference(forward_demodulation,[],[f28277,f15141]) ).
fof(f28279,plain,
( $false
| ~ spl1071_540
| ~ spl1071_547
| spl1071_563
| ~ spl1071_655 ),
inference(forward_subsumption_resolution,[],[f28278,f24690]) ).
fof(f28280,plain,
( ~ spl1071_540
| ~ spl1071_547
| spl1071_563
| ~ spl1071_655 ),
inference(avatar_contradiction_clause,[],[f28279]) ).
cnf(s537,plain,
spl1071_540,
inference(sat_conversion,[],[f24706]) ).
cnf(s544,plain,
spl1071_547,
inference(sat_conversion,[],[f25001]) ).
cnf(s636,plain,
( ~ spl1071_540
| ~ spl1071_547
| spl1071_652
| ~ spl1071_654
| spl1071_655 ),
inference(sat_conversion,[],[f28142]) ).
cnf(s638,plain,
( ~ spl1071_540
| ~ spl1071_547
| spl1071_563
| ~ spl1071_654
| spl1071_655 ),
inference(sat_conversion,[],[f28146]) ).
cnf(s640,plain,
spl1071_654,
inference(sat_conversion,[],[f28161]) ).
cnf(s641,plain,
( ~ spl1071_540
| ~ spl1071_547
| ~ spl1071_563
| ~ spl1071_652
| ~ spl1071_654
| ~ spl1071_655 ),
inference(sat_conversion,[],[f28171]) ).
cnf(s642,plain,
( ~ spl1071_563
| ~ spl1071_652
| spl1071_655 ),
inference(sat_conversion,[],[f28250]) ).
cnf(s643,plain,
( ~ spl1071_540
| ~ spl1071_547
| spl1071_652
| ~ spl1071_655 ),
inference(sat_conversion,[],[f28268]) ).
cnf(s644,plain,
( ~ spl1071_540
| ~ spl1071_547
| spl1071_563
| ~ spl1071_655 ),
inference(sat_conversion,[],[f28280]) ).
cnf(s645,plain,
( ~ spl1071_540
| ~ spl1071_547
| spl1071_563
| spl1071_655 ),
inference(rat,[],[s638,s640]) ).
cnf(s647,plain,
( ~ spl1071_540
| ~ spl1071_547
| spl1071_652
| spl1071_655 ),
inference(rat,[],[s636,s640]) ).
cnf(s734,plain,
spl1071_563,
inference(rat,[],[s645,s644,s544,s537]) ).
cnf(s735,plain,
spl1071_652,
inference(rat,[],[s647,s643,s544,s537]) ).
cnf(s736,plain,
spl1071_655,
inference(rat,[],[s642,s734,s735]) ).
cnf(s737,plain,
$false,
inference(rat,[],[s641,s734,s640,s537,s544,s736,s735]) ).
fof(f28281,plain,
$false,
inference(avatar_sat_refutation,[],[s737]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT299+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:26:50 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.48/2.76 % (2691785)Detected formulas, will run a generic FOF schedule.
% 12.48/2.76 % (2691794)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=233497096:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.48/2.76 % (2691794)Instruction limit reached!
% 12.48/2.76 % (2691794)------------------------------
% 12.48/2.76 % (2691794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.48/2.76 % (2691794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.48/2.76 % (2691794)CaDiCaL version: 2.1.3
% 12.48/2.76 % (2691794)Termination reason: Instruction limit
% 12.48/2.76 % (2691794)Termination phase: Saturation
% 12.48/2.76 % (2691794)Time elapsed: 0.042 s
% 12.48/2.76 % (2691794)Peak memory usage: 92 MB
% 12.48/2.76 % (2691794)Instructions burned: 119 (million)
% 12.48/2.76 % (2691795)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1855721410:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.48/2.76 % (2691791)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=3110205135:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.48/2.76 % (2691792)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=17268377:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.48/2.76 % (2691790)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=3053669037:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.48/2.76 % (2691793)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4201824508:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.48/2.76 % (2691796)dis-21_1_sil=8000:lcm=predicate:random_seed=3309021751:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.48/2.76 % (2691793)Refutation not found, incomplete strategy
% 12.48/2.76 % (2691793)------------------------------
% 12.48/2.76 % (2691793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.48/2.76 % (2691793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.48/2.76 % (2691793)CaDiCaL version: 2.1.3
% 12.48/2.76 % (2691793)Termination reason: Refutation not found, incomplete strategy
% 12.48/2.76 % (2691793)Time elapsed: 0.014 s
% 12.48/2.76 % (2691793)Peak memory usage: 91 MB
% 12.48/2.76 % (2691793)Instructions burned: 16 (million)
% 12.48/2.76 % (2691796)Instruction limit reached!
% 12.48/2.76 % (2691796)------------------------------
% 12.48/2.76 % (2691796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.48/2.76 % (2691796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.48/2.76 % (2691796)CaDiCaL version: 2.1.3
% 12.48/2.76 % (2691796)Termination reason: Instruction limit
% 12.48/2.76 % (2691796)Termination phase: Function definition elimination
% 12.48/2.76 % (2691796)Time elapsed: 0.081 s
% 12.48/2.76 % (2691796)Peak memory usage: 92 MB
% 12.48/2.76 % (2691796)Instructions burned: 130 (million)
% 12.48/2.76 % (2691795)Instruction limit reached!
% 12.48/2.76 % (2691795)------------------------------
% 12.48/2.76 % (2691795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.48/2.76 % (2691795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.48/2.76 % (2691795)CaDiCaL version: 2.1.3
% 12.48/2.76 % (2691795)Termination reason: Instruction limit
% 12.48/2.76 % (2691795)Termination phase: Property scanning
% 12.48/2.76 % (2691795)Time elapsed: 0.087 s
% 12.48/2.76 % (2691795)Peak memory usage: 94 MB
% 12.48/2.76 % (2691795)Instructions burned: 141 (million)
% 12.48/2.76 % (2691804)lrs+10_1_sil=8000:sp=occurrence:random_seed=3118173539:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.48/2.76 % (2691804)Instruction limit reached!
% 12.48/2.76 % (2691804)------------------------------
% 12.48/2.76 % (2691804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.48/2.76 % (2691804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.48/2.76 % (2691804)CaDiCaL version: 2.1.3
% 12.48/2.76 % (2691804)Termination reason: Instruction limit
% 12.48/2.76 % (2691804)Termination phase: Saturation
% 12.48/2.76 % (2691804)Time elapsed: 0.096 s
% 12.48/2.76 % (2691804)Peak memory usage: 95 MB
% 12.48/2.76 % (2691804)Instructions burned: 287 (million)
% 18.05/3.50 % (2691805)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1959483632:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 18.05/3.50 % (2691806)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1429228930:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 18.05/3.50 % (2691805)Refutation not found, incomplete strategy
% 18.05/3.50 % (2691805)------------------------------
% 18.05/3.50 % (2691805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.05/3.50 % (2691805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.05/3.50 % (2691805)CaDiCaL version: 2.1.3
% 18.05/3.50 % (2691805)Termination reason: Refutation not found, incomplete strategy
% 18.05/3.50 % (2691805)Time elapsed: 0.026 s
% 18.05/3.50 % (2691805)Peak memory usage: 91 MB
% 18.05/3.50 % (2691805)Instructions burned: 43 (million)
% 18.05/3.50 % (2691793)------------------------------
% 18.05/3.50 % (2691793)------------------------------
% 18.05/3.50 % (2691806)Refutation not found, incomplete strategy
% 18.05/3.50 % (2691806)------------------------------
% 18.05/3.50 % (2691806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.05/3.50 % (2691806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.05/3.50 % (2691806)CaDiCaL version: 2.1.3
% 18.05/3.50 % (2691806)Termination reason: Refutation not found, incomplete strategy
% 18.05/3.50 % (2691806)Time elapsed: 0.025 s
% 18.05/3.50 % (2691806)Peak memory usage: 92 MB
% 18.05/3.50 % (2691806)Instructions burned: 30 (million)
% 18.05/3.50 % (2691808)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=576236916:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.05/3.50 % (2691808)Instruction limit reached!
% 18.05/3.50 % (2691808)------------------------------
% 18.05/3.50 % (2691808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.05/3.50 % (2691808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.05/3.50 % (2691808)CaDiCaL version: 2.1.3
% 18.05/3.50 % (2691808)Termination reason: Instruction limit
% 18.05/3.50 % (2691808)Termination phase: Saturation
% 18.05/3.50 % (2691808)Time elapsed: 0.079 s
% 18.05/3.50 % (2691808)Peak memory usage: 97 MB
% 18.05/3.50 % (2691808)Instructions burned: 251 (million)
% 18.05/3.50 % (2691811)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3935980637:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 18.05/3.50 % (2691805)------------------------------
% 18.05/3.50 % (2691805)------------------------------
% 18.05/3.50 % (2691806)------------------------------
% 18.05/3.50 % (2691806)------------------------------
% 18.05/3.50 % (2691813)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3140459178:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 18.05/3.50 % (2691811)Instruction limit reached!
% 18.05/3.50 % (2691811)------------------------------
% 18.05/3.50 % (2691811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.05/3.50 % (2691811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.05/3.50 % (2691811)CaDiCaL version: 2.1.3
% 18.05/3.50 % (2691811)Termination reason: Instruction limit
% 18.05/3.50 % (2691811)Termination phase: Saturation
% 18.05/3.50 % (2691811)Time elapsed: 0.162 s
% 18.05/3.50 % (2691811)Peak memory usage: 94 MB
% 18.05/3.50 % (2691811)Instructions burned: 294 (million)
% 18.05/3.50 % (2691815)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3269550097:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 18.05/3.50 % (2691816)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3749015977:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 18.05/3.50 % (2691815)Instruction limit reached!
% 18.05/3.50 % (2691815)------------------------------
% 18.05/3.50 % (2691815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.05/3.50 % (2691815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.05/3.50 % (2691815)CaDiCaL version: 2.1.3
% 18.05/3.50 % (2691815)Termination reason: Instruction limit
% 18.05/3.50 % (2691815)Termination phase: Saturation
% 18.05/3.50 % (2691815)Time elapsed: 0.067 s
% 18.05/3.50 % (2691815)Peak memory usage: 93 MB
% 18.05/3.50 % (2691815)Instructions burned: 113 (million)
% 18.05/3.50 % (2691818)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2632150003:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 23.37/4.29 % (2691816)Instruction limit reached!
% 23.37/4.29 % (2691816)------------------------------
% 23.37/4.29 % (2691816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.29 % (2691816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.29 % (2691816)CaDiCaL version: 2.1.3
% 23.37/4.29 % (2691816)Termination reason: Instruction limit
% 23.37/4.29 % (2691816)Termination phase: Property scanning
% 23.37/4.29 % (2691816)Time elapsed: 0.079 s
% 23.37/4.29 % (2691816)Peak memory usage: 94 MB
% 23.37/4.29 % (2691816)Instructions burned: 127 (million)
% 23.37/4.29 % (2691818)Instruction limit reached!
% 23.37/4.29 % (2691818)------------------------------
% 23.37/4.29 % (2691818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.29 % (2691818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.29 % (2691818)CaDiCaL version: 2.1.3
% 23.37/4.29 % (2691818)Termination reason: Instruction limit
% 23.37/4.29 % (2691818)Termination phase: Property scanning
% 23.37/4.29 % (2691818)Time elapsed: 0.061 s
% 23.37/4.29 % (2691818)Peak memory usage: 91 MB
% 23.37/4.29 % (2691818)Instructions burned: 117 (million)
% 23.37/4.29 % (2691821)lrs+10_1_sil=8000:sp=occurrence:random_seed=2214992648:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 23.37/4.29 % (2691823)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=969365880:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 23.37/4.29 % (2691824)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4144416440:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 23.37/4.29 % (2691823)Instruction limit reached!
% 23.37/4.29 % (2691823)------------------------------
% 23.37/4.29 % (2691823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.29 % (2691823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.29 % (2691823)CaDiCaL version: 2.1.3
% 23.37/4.29 % (2691823)Termination reason: Instruction limit
% 23.37/4.29 % (2691823)Termination phase: Saturation
% 23.37/4.29 % (2691823)Time elapsed: 0.247 s
% 23.37/4.29 % (2691823)Peak memory usage: 95 MB
% 23.37/4.29 % (2691823)Instructions burned: 439 (million)
% 23.37/4.29 % (2691828)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2753107709:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 23.37/4.29 % (2691813)Instruction limit reached!
% 23.37/4.29 % (2691813)------------------------------
% 23.37/4.29 % (2691813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.29 % (2691813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.29 % (2691813)CaDiCaL version: 2.1.3
% 23.37/4.29 % (2691813)Termination reason: Instruction limit
% 23.37/4.29 % (2691813)Termination phase: Saturation
% 23.37/4.29 % (2691813)Time elapsed: 0.827 s
% 23.37/4.29 % (2691813)Peak memory usage: 210 MB
% 23.37/4.29 % (2691813)Instructions burned: 2354 (million)
% 23.37/4.29 % (2691828)Instruction limit reached!
% 23.37/4.29 % (2691828)------------------------------
% 23.37/4.29 % (2691828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.29 % (2691828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.29 % (2691828)CaDiCaL version: 2.1.3
% 23.37/4.29 % (2691828)Termination reason: Instruction limit
% 23.37/4.29 % (2691828)Termination phase: Saturation
% 23.37/4.29 % (2691828)Time elapsed: 0.083 s
% 23.37/4.29 % (2691828)Peak memory usage: 94 MB
% 23.37/4.29 % (2691828)Instructions burned: 135 (million)
% 23.37/4.29 % (2691821)Instruction limit reached!
% 23.37/4.29 % (2691821)------------------------------
% 23.37/4.29 % (2691821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.29 % (2691821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.29 % (2691821)CaDiCaL version: 2.1.3
% 23.37/4.29 % (2691821)Termination reason: Instruction limit
% 23.37/4.29 % (2691821)Termination phase: Saturation
% 23.37/4.29 % (2691821)Time elapsed: 0.602 s
% 23.37/4.29 % (2691821)Peak memory usage: 103 MB
% 23.37/4.29 % (2691821)Instructions burned: 907 (million)
% 23.37/4.29 % (2691830)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1360851755:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 23.37/4.29 % (2691831)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2318521807:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 23.37/4.29 % (2691832)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=229480675:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 23.37/4.29 % (2691830)Instruction limit reached!
% 23.37/4.29 % (2691830)------------------------------
% 23.37/4.29 % (2691830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.29 % (2691830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.29 % (2691830)CaDiCaL version: 2.1.3
% 23.37/4.29 % (2691830)Termination reason: Instruction limit
% 23.37/4.29 % (2691830)Termination phase: Saturation
% 23.37/4.29 % (2691830)Time elapsed: 0.159 s
% 23.37/4.29 % (2691830)Peak memory usage: 102 MB
% 23.37/4.29 % (2691830)Instructions burned: 592 (million)
% 23.37/4.29 % (2691832)Instruction limit reached!
% 23.37/4.29 % (2691832)------------------------------
% 23.37/4.29 % (2691832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.29 % (2691832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.29 % (2691832)CaDiCaL version: 2.1.3
% 23.37/4.29 % (2691832)Termination reason: Instruction limit
% 23.37/4.29 % (2691832)Termination phase: Saturation
% 23.37/4.29 % (2691832)Time elapsed: 0.077 s
% 23.37/4.29 % (2691832)Peak memory usage: 92 MB
% 23.37/4.29 % (2691832)Instructions burned: 126 (million)
% 23.37/4.29 % (2691836)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2939690350:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 23.37/4.29 % (2691836)Instruction limit reached!
% 23.37/4.29 % (2691836)------------------------------
% 23.37/4.29 % (2691836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.29 % (2691836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.29 % (2691836)CaDiCaL version: 2.1.3
% 23.37/4.29 % (2691836)Termination reason: Instruction limit
% 23.37/4.29 % (2691836)Termination phase: Preprocessing 3
% 23.37/4.29 % (2691836)Time elapsed: 0.042 s
% 23.37/4.29 % (2691836)Peak memory usage: 92 MB
% 23.37/4.29 % (2691836)Instructions burned: 136 (million)
% 23.37/4.29 % (2691837)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1687316791:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 23.37/4.29 % (2691837)Refutation not found, incomplete strategy
% 23.37/4.29 % (2691837)------------------------------
% 23.37/4.29 % (2691837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.29 % (2691837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.29 % (2691837)CaDiCaL version: 2.1.3
% 23.37/4.29 % (2691837)Termination reason: Refutation not found, incomplete strategy
% 23.37/4.29 % (2691837)Time elapsed: 0.012 s
% 23.37/4.29 % (2691837)Peak memory usage: 91 MB
% 23.37/4.29 % (2691837)Instructions burned: 13 (million)
% 23.37/4.29 % (2691839)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1927596748:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 23.37/4.29 % (2691839)Refutation not found, incomplete strategy
% 23.37/4.29 % (2691839)------------------------------
% 23.37/4.29 % (2691839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.29 % (2691839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.29 % (2691839)CaDiCaL version: 2.1.3
% 23.37/4.29 % (2691839)Termination reason: Refutation not found, incomplete strategy
% 23.37/4.29 % (2691839)Time elapsed: 0.009 s
% 23.37/4.29 % (2691839)Peak memory usage: 92 MB
% 23.37/4.29 % (2691839)Instructions burned: 19 (million)
% 23.37/4.29 % (2691839)------------------------------
% 23.37/4.29 % (2691839)------------------------------
% 23.37/4.29 % (2691837)------------------------------
% 23.37/4.29 % (2691837)------------------------------
% 23.37/4.29 % (2691842)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=3321859080:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 23.37/4.29 % (2691843)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=1665295846:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 23.37/4.29 % (2691843)Instruction limit reached!
% 23.37/4.29 % (2691843)------------------------------
% 23.37/4.29 % (2691843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.29 % (2691843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.29 % (2691843)CaDiCaL version: 2.1.3
% 23.37/4.29 % (2691843)Termination reason: Instruction limit
% 23.37/4.29 % (2691843)Termination phase: Property scanning
% 23.37/4.29 % (2691843)Time elapsed: 0.090 s
% 23.37/4.29 % (2691843)Peak memory usage: 94 MB
% 23.37/4.29 % (2691843)Instructions burned: 152 (million)
% 23.37/4.29 % (2691846)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2959398634:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 23.37/4.29 % (2691790)First to succeed.
% 23.37/4.29 % (2691790)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2691785"
% 23.37/4.29 % (2691791)Also succeeded, but the first one will report.
% 23.37/4.29 % (2691790)Refutation found. Thanks to Tanya!
% 23.37/4.29 % SZS status Theorem for theBenchmark
% 23.37/4.29 % SZS output start Proof for theBenchmark
% See solution above
% 24.16/4.48 % (2691790)------------------------------
% 24.16/4.48 % (2691790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.16/4.48 % (2691790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.16/4.48 % (2691790)CaDiCaL version: 2.1.3
% 24.16/4.48 % (2691790)Termination reason: Refutation
% 24.16/4.48 % (2691790)Time elapsed: 2.870 s
% 24.16/4.48 % (2691790)Peak memory usage: 211 MB
% 24.16/4.48 % (2691790)Instructions burned: 4734 (million)
% 24.16/4.48 % (2691790)------------------------------
% 24.16/4.48 % (2691790)------------------------------
% 24.16/4.48 % (2691785)Success in time 3.429 s
% 24.16/4.48 % Vampire exiting
%------------------------------------------------------------------------------