%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT324+4 : 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 : n013.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 11:46:57 AM UTC 2026
% Result : Theorem 19.74s 8.68s
% Output : Refutation 42.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 28
% Syntax : Number of formulae : 289 ( 27 unt; 12 def)
% Number of atoms : 1633 ( 84 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 2311 ( 967 ~;1140 |; 142 &)
% ( 31 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 13 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 171 ( 0 sgn 163 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f480,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f21515,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f21516,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f21563,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
<=> v1_filter_0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_filter_0) ).
fof(f21565,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( X1 != X2
& ! [X3] :
( m1_filter_0(X3,X0)
=> ~ ( v1_filter_0(X3,X0)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_filter_0) ).
fof(f21600,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f22747,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f22780,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f22852,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f34606,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f34637,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f34675,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f34676,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f34694,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_filter_2) ).
fof(f34721,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
fof(f34729,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( X1 != X2
& ! [X3] :
( m2_filter_2(X3,X0)
=> ~ ( r2_filter_2(X0,X3)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_filter_2) ).
fof(f34730,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( X1 != X2
& ! [X3] :
( m2_filter_2(X3,X0)
=> ~ ( r2_filter_2(X0,X3)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f34729]) ).
fof(f34957,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& ! [X3] :
( ~ r2_filter_2(X0,X3)
| ( ( ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) )
& ( r2_hidden(X1,X3)
| ~ r2_hidden(X2,X3) ) )
| ~ m2_filter_2(X3,X0) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f34730]) ).
fof(f34958,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& ! [X3] :
( ~ r2_filter_2(X0,X3)
| ( ( ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) )
& ( r2_hidden(X1,X3)
| ~ r2_hidden(X2,X3) ) )
| ~ m2_filter_2(X3,X0) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f34957]) ).
fof(f34981,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f35021,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34694]) ).
fof(f35022,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35021]) ).
fof(f35413,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22780]) ).
fof(f35414,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,[],[f35413]) ).
fof(f35546,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ? [X3] :
( v1_filter_0(X3,X0)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) )
& m1_filter_0(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21565]) ).
fof(f35547,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ? [X3] :
( v1_filter_0(X3,X0)
& ( ( r2_hidden(X1,X3)
& ~ r2_hidden(X2,X3) )
| ( ~ r2_hidden(X1,X3)
& r2_hidden(X2,X3) ) )
& m1_filter_0(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35546]) ).
fof(f35548,plain,
! [X0] :
( ! [X1] :
( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
<=> v1_filter_0(X1,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21563]) ).
fof(f35549,plain,
! [X0] :
( ! [X1] :
( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
<=> v1_filter_0(X1,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35548]) ).
fof(f35556,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34721]) ).
fof(f35557,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35556]) ).
fof(f35562,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22852]) ).
fof(f35573,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22747]) ).
fof(f35574,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35573]) ).
fof(f35575,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f34637]) ).
fof(f35576,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f35575]) ).
fof(f37121,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21600]) ).
fof(f37122,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f37121]) ).
fof(f37123,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21515]) ).
fof(f37124,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f37123]) ).
fof(f38160,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34675]) ).
fof(f38161,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f38160]) ).
fof(f38166,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34606]) ).
fof(f38167,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f38166]) ).
fof(f38548,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21516]) ).
fof(f38549,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f38548]) ).
fof(f38584,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34676]) ).
fof(f38585,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f38584]) ).
fof(f38724,plain,
( sK75 != sK76
& ! [X3] :
( ~ r2_filter_2(sK74,X3)
| ( ( ~ r2_hidden(sK75,X3)
| r2_hidden(sK76,X3) )
& ( r2_hidden(sK75,X3)
| ~ r2_hidden(sK76,X3) ) )
| ~ m2_filter_2(X3,sK74) )
& m1_subset_1(sK76,u1_struct_0(sK74))
& m1_subset_1(sK75,u1_struct_0(sK74))
& ~ v3_struct_0(sK74)
& v10_lattices(sK74)
& v17_lattices(sK74)
& l3_lattices(sK74) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK74,sK75,sK76]),skolemize(X0,sK74),skolemize(X1,sK75),skolemize(X2,sK76)],[f34958]) ).
fof(f38738,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f34981]) ).
fof(f38775,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f35022]) ).
fof(f38916,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ( v1_filter_0(sK176(X0,X1,X2),X0)
& ( ( r2_hidden(X1,sK176(X0,X1,X2))
& ~ r2_hidden(X2,sK176(X0,X1,X2)) )
| ( ~ r2_hidden(X1,sK176(X0,X1,X2))
& r2_hidden(X2,sK176(X0,X1,X2)) ) )
& m1_filter_0(sK176(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK176]),skolemize(X3,sK176(X0,X1,X2))],[f35547]) ).
fof(f38917,plain,
! [X0] :
( ! [X1] :
( ( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
| ~ v1_filter_0(X1,X0) )
& ( v1_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| ~ v2_filter_0(X1,X0) ) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f35549]) ).
fof(f38918,plain,
! [X0] :
( ! [X1] :
( ( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
| ~ v1_filter_0(X1,X0) )
& ( v1_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| ~ v2_filter_0(X1,X0) ) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f38917]) ).
fof(f38925,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f35557]) ).
fof(f38926,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f38925]) ).
fof(f39711,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f38161]) ).
fof(f39712,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f38167]) ).
fof(f39869,plain,
l3_lattices(sK74),
inference(cnf_transformation,[],[f38724]) ).
fof(f39870,plain,
v17_lattices(sK74),
inference(cnf_transformation,[],[f38724]) ).
fof(f39871,plain,
v10_lattices(sK74),
inference(cnf_transformation,[],[f38724]) ).
fof(f39872,plain,
~ v3_struct_0(sK74),
inference(cnf_transformation,[],[f38724]) ).
fof(f39873,plain,
m1_subset_1(sK75,u1_struct_0(sK74)),
inference(cnf_transformation,[],[f38724]) ).
fof(f39874,plain,
m1_subset_1(sK76,u1_struct_0(sK74)),
inference(cnf_transformation,[],[f38724]) ).
fof(f39875,plain,
! [X3] :
( ~ r2_filter_2(sK74,X3)
| r2_hidden(sK75,X3)
| ~ r2_hidden(sK76,X3)
| ~ m2_filter_2(X3,sK74) ),
inference(cnf_transformation,[],[f38724]) ).
fof(f39876,plain,
! [X3] :
( ~ r2_filter_2(sK74,X3)
| ~ r2_hidden(sK75,X3)
| r2_hidden(sK76,X3)
| ~ m2_filter_2(X3,sK74) ),
inference(cnf_transformation,[],[f38724]) ).
fof(f39877,plain,
sK75 != sK76,
inference(cnf_transformation,[],[f38724]) ).
fof(f39907,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f38738]) ).
fof(f39979,plain,
! [X0,X1] :
( ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38775]) ).
fof(f40433,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f35414]) ).
fof(f40699,plain,
! [X2,X0,X1] :
( m1_filter_0(sK176(X0,X1,X2),X0)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38916]) ).
fof(f40701,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,sK176(X0,X1,X2))
| X1 = X2
| ~ r2_hidden(X1,sK176(X0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38916]) ).
fof(f40702,plain,
! [X2,X0,X1] :
( r2_hidden(X2,sK176(X0,X1,X2))
| r2_hidden(X1,sK176(X0,X1,X2))
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38916]) ).
fof(f40704,plain,
! [X2,X0,X1] :
( v1_filter_0(sK176(X0,X1,X2),X0)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38916]) ).
fof(f40705,plain,
! [X0,X1] :
( ~ v2_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38918]) ).
fof(f40706,plain,
! [X0,X1] :
( ~ v1_filter_0(X1,X0)
| v2_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38918]) ).
fof(f40721,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38926]) ).
fof(f40722,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38926]) ).
fof(f40742,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35562]) ).
fof(f40768,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35574]) ).
fof(f40769,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f35576]) ).
fof(f42938,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37122]) ).
fof(f42939,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37122]) ).
fof(f42940,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37124]) ).
fof(f44299,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,k1_lattice2(X0))
| m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f39711]) ).
fof(f44303,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f39712]) ).
fof(f44843,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38549]) ).
fof(f44877,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k7_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38585]) ).
fof(f46228,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f40721]) ).
fof(f46229,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f40722]) ).
fof(f46886,plain,
( v3_struct_0(sK74)
| u1_struct_0(sK74) = u1_struct_0(k1_lattice2(sK74)) ),
inference(resolution,[],[f40433,f39869]) ).
fof(f46887,plain,
u1_struct_0(sK74) = u1_struct_0(k1_lattice2(sK74)),
inference(forward_subsumption_resolution,[],[f46886,f39872]) ).
fof(f46890,definition,
( spl757_22
<=> l3_lattices(k1_lattice2(sK74)) ),
introduced(definition,[new_symbols(definition,[spl757_22])],[avatar_definition]) ).
fof(f46891,plain,
( l3_lattices(k1_lattice2(sK74))
| ~ spl757_22 ),
inference(avatar_component_clause,[],[f46890]) ).
fof(f46892,plain,
( ~ l3_lattices(k1_lattice2(sK74))
| spl757_22 ),
inference(avatar_component_clause,[],[f46890]) ).
fof(f46894,definition,
( spl757_23
<=> v10_lattices(k1_lattice2(sK74)) ),
introduced(definition,[new_symbols(definition,[spl757_23])],[avatar_definition]) ).
fof(f46895,plain,
( v10_lattices(k1_lattice2(sK74))
| ~ spl757_23 ),
inference(avatar_component_clause,[],[f46894]) ).
fof(f46896,plain,
( ~ v10_lattices(k1_lattice2(sK74))
| spl757_23 ),
inference(avatar_component_clause,[],[f46894]) ).
fof(f46898,definition,
( spl757_24
<=> v3_struct_0(k1_lattice2(sK74)) ),
introduced(definition,[new_symbols(definition,[spl757_24])],[avatar_definition]) ).
fof(f46899,plain,
( ~ v3_struct_0(k1_lattice2(sK74))
| spl757_24 ),
inference(avatar_component_clause,[],[f46898]) ).
fof(f46900,plain,
( v3_struct_0(k1_lattice2(sK74))
| ~ spl757_24 ),
inference(avatar_component_clause,[],[f46898]) ).
fof(f46915,plain,
( ~ l3_lattices(sK74)
| spl757_22 ),
inference(resolution,[],[f40742,f46892]) ).
fof(f46917,plain,
( $false
| spl757_22 ),
inference(forward_subsumption_resolution,[],[f46915,f39869]) ).
fof(f46918,plain,
spl757_22,
inference(avatar_contradiction_clause,[],[f46917]) ).
fof(f46926,plain,
( v3_struct_0(sK74)
| ~ l3_lattices(sK74)
| ~ spl757_24 ),
inference(resolution,[],[f46900,f40768]) ).
fof(f46927,plain,
( ~ l3_lattices(sK74)
| ~ spl757_24 ),
inference(forward_subsumption_resolution,[],[f46926,f39872]) ).
fof(f46928,plain,
( $false
| ~ spl757_24 ),
inference(forward_subsumption_resolution,[],[f46927,f39869]) ).
fof(f46929,plain,
~ spl757_24,
inference(avatar_contradiction_clause,[],[f46928]) ).
fof(f46930,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK74)))
| ~ m1_filter_0(X0,k1_lattice2(sK74))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74)) ),
inference(superposition,[],[f42938,f46887]) ).
fof(f47077,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f42939,f42940]) ).
fof(f47078,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f47077]) ).
fof(f47098,plain,
( r2_hidden(sK76,u1_struct_0(sK74))
| v1_xboole_0(u1_struct_0(sK74)) ),
inference(resolution,[],[f39907,f39874]) ).
fof(f47099,plain,
( r2_hidden(sK75,u1_struct_0(sK74))
| v1_xboole_0(u1_struct_0(sK74)) ),
inference(resolution,[],[f39907,f39873]) ).
fof(f47105,definition,
( spl757_27
<=> v1_xboole_0(u1_struct_0(sK74)) ),
introduced(definition,[new_symbols(definition,[spl757_27])],[avatar_definition]) ).
fof(f47107,plain,
( v1_xboole_0(u1_struct_0(sK74))
| ~ spl757_27 ),
inference(avatar_component_clause,[],[f47105]) ).
fof(f47109,definition,
( spl757_28
<=> r2_hidden(sK75,u1_struct_0(sK74)) ),
introduced(definition,[new_symbols(definition,[spl757_28])],[avatar_definition]) ).
fof(f47111,plain,
( r2_hidden(sK75,u1_struct_0(sK74))
| ~ spl757_28 ),
inference(avatar_component_clause,[],[f47109]) ).
fof(f47112,plain,
( spl757_27
| spl757_28 ),
inference(avatar_split_clause,[],[f47099,f47109,f47105]) ).
fof(f47114,definition,
( spl757_29
<=> r2_hidden(sK76,u1_struct_0(sK74)) ),
introduced(definition,[new_symbols(definition,[spl757_29])],[avatar_definition]) ).
fof(f47116,plain,
( r2_hidden(sK76,u1_struct_0(sK74))
| ~ spl757_29 ),
inference(avatar_component_clause,[],[f47114]) ).
fof(f47117,plain,
( spl757_27
| spl757_29 ),
inference(avatar_split_clause,[],[f47098,f47114,f47105]) ).
fof(f47118,plain,
( v3_struct_0(sK74)
| ~ v10_lattices(sK74)
| ~ l3_lattices(sK74)
| ~ spl757_27 ),
inference(resolution,[],[f47107,f47078]) ).
fof(f47119,plain,
( ~ v10_lattices(sK74)
| ~ l3_lattices(sK74)
| ~ spl757_27 ),
inference(forward_subsumption_resolution,[],[f47118,f39872]) ).
fof(f47120,plain,
( ~ l3_lattices(sK74)
| ~ spl757_27 ),
inference(forward_subsumption_resolution,[],[f47119,f39871]) ).
fof(f47121,plain,
( $false
| ~ spl757_27 ),
inference(forward_subsumption_resolution,[],[f47120,f39869]) ).
fof(f47122,plain,
~ spl757_27,
inference(avatar_contradiction_clause,[],[f47121]) ).
fof(f47130,plain,
( v3_struct_0(sK74)
| ~ v10_lattices(sK74)
| ~ v17_lattices(sK74)
| ~ l3_lattices(sK74)
| spl757_23 ),
inference(resolution,[],[f46229,f46896]) ).
fof(f47135,plain,
( ~ v10_lattices(sK74)
| ~ v17_lattices(sK74)
| ~ l3_lattices(sK74)
| spl757_23 ),
inference(forward_subsumption_resolution,[],[f47130,f39872]) ).
fof(f47138,plain,
( ~ v17_lattices(sK74)
| ~ l3_lattices(sK74)
| spl757_23 ),
inference(forward_subsumption_resolution,[],[f47135,f39871]) ).
fof(f47139,plain,
( ~ l3_lattices(sK74)
| spl757_23 ),
inference(forward_subsumption_resolution,[],[f47138,f39870]) ).
fof(f47140,plain,
( $false
| spl757_23 ),
inference(forward_subsumption_resolution,[],[f47139,f39869]) ).
fof(f47141,plain,
spl757_23,
inference(avatar_contradiction_clause,[],[f47140]) ).
fof(f47143,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK74)))
| ~ m1_filter_0(X0,k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74)) )
| spl757_24 ),
inference(forward_subsumption_resolution,[],[f46930,f46899]) ).
fof(f47160,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK74)))
| ~ m1_filter_0(X0,k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74)) )
| ~ spl757_23
| spl757_24 ),
inference(forward_subsumption_resolution,[],[f47143,f46895]) ).
fof(f47177,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK74)))
| ~ m1_filter_0(X0,k1_lattice2(sK74)) )
| ~ spl757_22
| ~ spl757_23
| spl757_24 ),
inference(forward_subsumption_resolution,[],[f47160,f46891]) ).
fof(f47221,definition,
( spl757_35
<=> v17_lattices(k1_lattice2(sK74)) ),
introduced(definition,[new_symbols(definition,[spl757_35])],[avatar_definition]) ).
fof(f47222,plain,
( v17_lattices(k1_lattice2(sK74))
| ~ spl757_35 ),
inference(avatar_component_clause,[],[f47221]) ).
fof(f47223,plain,
( ~ v17_lattices(k1_lattice2(sK74))
| spl757_35 ),
inference(avatar_component_clause,[],[f47221]) ).
fof(f47272,plain,
( v3_struct_0(k1_lattice2(sK74))
| u1_struct_0(k1_lattice2(sK74)) = k1_filter_0(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23 ),
inference(resolution,[],[f46895,f44843]) ).
fof(f47273,plain,
( u1_struct_0(k1_lattice2(sK74)) = k1_filter_0(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23
| spl757_24 ),
inference(forward_subsumption_resolution,[],[f47272,f46899]) ).
fof(f47275,plain,
( u1_struct_0(k1_lattice2(sK74)) = k1_filter_0(k1_lattice2(sK74))
| ~ spl757_22
| ~ spl757_23
| spl757_24 ),
inference(forward_subsumption_resolution,[],[f47273,f46891]) ).
fof(f47277,plain,
( u1_struct_0(sK74) = k1_filter_0(k1_lattice2(sK74))
| ~ spl757_22
| ~ spl757_23
| spl757_24 ),
inference(forward_demodulation,[],[f47275,f46887]) ).
fof(f47279,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK74))
| k7_filter_2(sK74,X0) = X0
| v3_struct_0(sK74)
| ~ v10_lattices(sK74)
| ~ l3_lattices(sK74) )
| ~ spl757_22
| ~ spl757_23
| spl757_24 ),
inference(resolution,[],[f47177,f44877]) ).
fof(f47284,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK74))
| k7_filter_2(sK74,X0) = X0
| ~ v10_lattices(sK74)
| ~ l3_lattices(sK74) )
| ~ spl757_22
| ~ spl757_23
| spl757_24 ),
inference(forward_subsumption_resolution,[],[f47279,f39872]) ).
fof(f47285,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK74))
| k7_filter_2(sK74,X0) = X0
| ~ l3_lattices(sK74) )
| ~ spl757_22
| ~ spl757_23
| spl757_24 ),
inference(forward_subsumption_resolution,[],[f47284,f39871]) ).
fof(f47286,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK74))
| k7_filter_2(sK74,X0) = X0 )
| ~ spl757_22
| ~ spl757_23
| spl757_24 ),
inference(forward_subsumption_resolution,[],[f47285,f39869]) ).
fof(f47287,plain,
( v3_struct_0(sK74)
| ~ v10_lattices(sK74)
| ~ v17_lattices(sK74)
| ~ l3_lattices(sK74)
| spl757_35 ),
inference(resolution,[],[f47223,f46228]) ).
fof(f47289,plain,
( ~ v10_lattices(sK74)
| ~ v17_lattices(sK74)
| ~ l3_lattices(sK74)
| spl757_35 ),
inference(forward_subsumption_resolution,[],[f47287,f39872]) ).
fof(f47290,plain,
( ~ v17_lattices(sK74)
| ~ l3_lattices(sK74)
| spl757_35 ),
inference(forward_subsumption_resolution,[],[f47289,f39871]) ).
fof(f47291,plain,
( ~ l3_lattices(sK74)
| spl757_35 ),
inference(forward_subsumption_resolution,[],[f47290,f39870]) ).
fof(f47292,plain,
( $false
| spl757_35 ),
inference(forward_subsumption_resolution,[],[f47291,f39869]) ).
fof(f47293,plain,
spl757_35,
inference(avatar_contradiction_clause,[],[f47292]) ).
fof(f50031,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| v2_filter_0(sK176(X2,X0,X1),X2)
| ~ m1_filter_0(sK176(X2,X0,X1),X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(resolution,[],[f40704,f40706]) ).
fof(f50032,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| v2_filter_0(sK176(X2,X0,X1),X2)
| ~ m1_filter_0(sK176(X2,X0,X1),X2) ),
inference(duplicate_literal_removal,[],[f50031]) ).
fof(f50034,plain,
! [X2,X0,X1] :
( v2_filter_0(sK176(X2,X0,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f50032,f40699]) ).
fof(f52980,definition,
( spl757_242
<=> u1_struct_0(sK74) = sK176(k1_lattice2(sK74),sK76,sK75) ),
introduced(definition,[new_symbols(definition,[spl757_242])],[avatar_definition]) ).
fof(f52981,plain,
( u1_struct_0(sK74) != sK176(k1_lattice2(sK74),sK76,sK75)
| spl757_242 ),
inference(avatar_component_clause,[],[f52980]) ).
fof(f52982,plain,
( u1_struct_0(sK74) = sK176(k1_lattice2(sK74),sK76,sK75)
| ~ spl757_242 ),
inference(avatar_component_clause,[],[f52980]) ).
fof(f52984,definition,
( spl757_243
<=> r2_hidden(sK76,sK176(k1_lattice2(sK74),sK76,sK75)) ),
introduced(definition,[new_symbols(definition,[spl757_243])],[avatar_definition]) ).
fof(f52985,plain,
( ~ r2_hidden(sK76,sK176(k1_lattice2(sK74),sK76,sK75))
| spl757_243 ),
inference(avatar_component_clause,[],[f52984]) ).
fof(f52986,plain,
( r2_hidden(sK76,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ spl757_243 ),
inference(avatar_component_clause,[],[f52984]) ).
fof(f53008,definition,
( spl757_248
<=> v2_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74)) ),
introduced(definition,[new_symbols(definition,[spl757_248])],[avatar_definition]) ).
fof(f53009,plain,
( v2_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| ~ spl757_248 ),
inference(avatar_component_clause,[],[f53008]) ).
fof(f53010,plain,
( ~ v2_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| spl757_248 ),
inference(avatar_component_clause,[],[f53008]) ).
fof(f53012,definition,
( spl757_249
<=> m1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74)) ),
introduced(definition,[new_symbols(definition,[spl757_249])],[avatar_definition]) ).
fof(f53013,plain,
( m1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| ~ spl757_249 ),
inference(avatar_component_clause,[],[f53012]) ).
fof(f53014,plain,
( ~ m1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| spl757_249 ),
inference(avatar_component_clause,[],[f53012]) ).
fof(f53052,plain,
( sK75 = sK76
| ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| spl757_249 ),
inference(resolution,[],[f53014,f40699]) ).
fof(f53055,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| spl757_249 ),
inference(forward_subsumption_resolution,[],[f53052,f39877]) ).
fof(f53057,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| spl757_24
| spl757_249 ),
inference(forward_subsumption_resolution,[],[f53055,f46899]) ).
fof(f53059,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23
| spl757_24
| spl757_249 ),
inference(forward_subsumption_resolution,[],[f53057,f46895]) ).
fof(f53061,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_249 ),
inference(forward_subsumption_resolution,[],[f53059,f47222]) ).
fof(f53062,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_249 ),
inference(forward_subsumption_resolution,[],[f53061,f46891]) ).
fof(f53063,plain,
( ~ m1_subset_1(sK75,u1_struct_0(sK74))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_249 ),
inference(forward_demodulation,[],[f53062,f46887]) ).
fof(f53064,plain,
( ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_249 ),
inference(forward_subsumption_resolution,[],[f53063,f39873]) ).
fof(f53065,plain,
( ~ m1_subset_1(sK76,u1_struct_0(sK74))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_249 ),
inference(forward_demodulation,[],[f53064,f46887]) ).
fof(f53066,plain,
( $false
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_249 ),
inference(forward_subsumption_resolution,[],[f53065,f39874]) ).
fof(f53067,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_249 ),
inference(avatar_contradiction_clause,[],[f53066]) ).
fof(f53071,plain,
( sK176(k1_lattice2(sK74),sK76,sK75) = k7_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(resolution,[],[f53013,f47286]) ).
fof(f53075,plain,
( m1_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_249 ),
inference(resolution,[],[f53013,f44303]) ).
fof(f53082,plain,
( m1_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| spl757_24
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53075,f46899]) ).
fof(f53087,definition,
( spl757_252
<=> r2_hidden(sK75,sK176(k1_lattice2(sK74),sK76,sK75)) ),
introduced(definition,[new_symbols(definition,[spl757_252])],[avatar_definition]) ).
fof(f53088,plain,
( r2_hidden(sK75,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ spl757_252 ),
inference(avatar_component_clause,[],[f53087]) ).
fof(f53089,plain,
( ~ r2_hidden(sK75,sK176(k1_lattice2(sK74),sK76,sK75))
| spl757_252 ),
inference(avatar_component_clause,[],[f53087]) ).
fof(f53094,plain,
( m1_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53082,f46895]) ).
fof(f53101,plain,
( m1_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53094,f46891]) ).
fof(f53172,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| sK75 = sK76
| spl757_248 ),
inference(resolution,[],[f53010,f50034]) ).
fof(f53173,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| sK75 = sK76
| spl757_24
| spl757_248 ),
inference(forward_subsumption_resolution,[],[f53172,f46899]) ).
fof(f53174,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| sK75 = sK76
| ~ spl757_23
| spl757_24
| spl757_248 ),
inference(forward_subsumption_resolution,[],[f53173,f46895]) ).
fof(f53175,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ l3_lattices(k1_lattice2(sK74))
| sK75 = sK76
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_248 ),
inference(forward_subsumption_resolution,[],[f53174,f47222]) ).
fof(f53176,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| sK75 = sK76
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_248 ),
inference(forward_subsumption_resolution,[],[f53175,f46891]) ).
fof(f53177,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_248 ),
inference(forward_subsumption_resolution,[],[f53176,f39877]) ).
fof(f53178,plain,
( ~ m1_subset_1(sK75,u1_struct_0(sK74))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_248 ),
inference(forward_demodulation,[],[f53177,f46887]) ).
fof(f53179,plain,
( ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_248 ),
inference(forward_subsumption_resolution,[],[f53178,f39873]) ).
fof(f53180,plain,
( ~ m1_subset_1(sK76,u1_struct_0(sK74))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_248 ),
inference(forward_demodulation,[],[f53179,f46887]) ).
fof(f53181,plain,
( $false
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_248 ),
inference(forward_subsumption_resolution,[],[f53180,f39874]) ).
fof(f53182,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_248 ),
inference(avatar_contradiction_clause,[],[f53181]) ).
fof(f53193,plain,
( ~ r2_hidden(sK75,u1_struct_0(sK74))
| sK75 = sK76
| ~ r2_hidden(sK76,u1_struct_0(sK74))
| ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_242 ),
inference(superposition,[],[f40701,f52982]) ).
fof(f53194,plain,
( sK75 = sK76
| ~ r2_hidden(sK76,u1_struct_0(sK74))
| ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_28
| ~ spl757_242 ),
inference(forward_subsumption_resolution,[],[f53193,f47111]) ).
fof(f53200,plain,
( ~ r2_hidden(sK76,u1_struct_0(sK74))
| ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_28
| ~ spl757_242 ),
inference(forward_subsumption_resolution,[],[f53194,f39877]) ).
fof(f53202,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_28
| ~ spl757_29
| ~ spl757_242 ),
inference(forward_subsumption_resolution,[],[f53200,f47116]) ).
fof(f53204,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| spl757_24
| ~ spl757_28
| ~ spl757_29
| ~ spl757_242 ),
inference(forward_subsumption_resolution,[],[f53202,f46899]) ).
fof(f53206,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23
| spl757_24
| ~ spl757_28
| ~ spl757_29
| ~ spl757_242 ),
inference(forward_subsumption_resolution,[],[f53204,f46895]) ).
fof(f53208,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23
| spl757_24
| ~ spl757_28
| ~ spl757_29
| ~ spl757_35
| ~ spl757_242 ),
inference(forward_subsumption_resolution,[],[f53206,f47222]) ).
fof(f53210,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_28
| ~ spl757_29
| ~ spl757_35
| ~ spl757_242 ),
inference(forward_subsumption_resolution,[],[f53208,f46891]) ).
fof(f53212,plain,
( ~ m1_subset_1(sK75,u1_struct_0(sK74))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_28
| ~ spl757_29
| ~ spl757_35
| ~ spl757_242 ),
inference(forward_demodulation,[],[f53210,f46887]) ).
fof(f53214,plain,
( ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_28
| ~ spl757_29
| ~ spl757_35
| ~ spl757_242 ),
inference(forward_subsumption_resolution,[],[f53212,f39873]) ).
fof(f53216,plain,
( ~ m1_subset_1(sK76,u1_struct_0(sK74))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_28
| ~ spl757_29
| ~ spl757_35
| ~ spl757_242 ),
inference(forward_demodulation,[],[f53214,f46887]) ).
fof(f53219,plain,
( $false
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_28
| ~ spl757_29
| ~ spl757_35
| ~ spl757_242 ),
inference(forward_subsumption_resolution,[],[f53216,f39874]) ).
fof(f53220,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_28
| ~ spl757_29
| ~ spl757_35
| ~ spl757_242 ),
inference(avatar_contradiction_clause,[],[f53219]) ).
fof(f53223,plain,
( k1_filter_0(k1_lattice2(sK74)) = sK176(k1_lattice2(sK74),sK76,sK75)
| v1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| ~ m1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_248 ),
inference(resolution,[],[f53009,f40705]) ).
fof(f53224,plain,
( k1_filter_0(k1_lattice2(sK74)) = sK176(k1_lattice2(sK74),sK76,sK75)
| v1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_248
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53223,f53013]) ).
fof(f53225,plain,
( k1_filter_0(k1_lattice2(sK74)) = sK176(k1_lattice2(sK74),sK76,sK75)
| v1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| spl757_24
| ~ spl757_248
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53224,f46899]) ).
fof(f53226,plain,
( k1_filter_0(k1_lattice2(sK74)) = sK176(k1_lattice2(sK74),sK76,sK75)
| v1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23
| spl757_24
| ~ spl757_248
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53225,f46895]) ).
fof(f53227,plain,
( k1_filter_0(k1_lattice2(sK74)) = sK176(k1_lattice2(sK74),sK76,sK75)
| v1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23
| spl757_24
| ~ spl757_35
| ~ spl757_248
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53226,f47222]) ).
fof(f53228,plain,
( k1_filter_0(k1_lattice2(sK74)) = sK176(k1_lattice2(sK74),sK76,sK75)
| v1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| ~ spl757_248
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53227,f46891]) ).
fof(f53229,plain,
( u1_struct_0(sK74) = sK176(k1_lattice2(sK74),sK76,sK75)
| v1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| ~ spl757_248
| ~ spl757_249 ),
inference(forward_demodulation,[],[f53228,f47277]) ).
fof(f53230,plain,
( v1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_248
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53229,f52981]) ).
fof(f53312,plain,
( m2_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),sK74)
| v3_struct_0(sK74)
| ~ v10_lattices(sK74)
| ~ l3_lattices(sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(resolution,[],[f53101,f44299]) ).
fof(f53316,plain,
( m2_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),sK74)
| ~ v10_lattices(sK74)
| ~ l3_lattices(sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53312,f39872]) ).
fof(f53317,plain,
( m2_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),sK74)
| ~ l3_lattices(sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53316,f39871]) ).
fof(f53318,plain,
( m2_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53317,f39869]) ).
fof(f53326,plain,
( v3_struct_0(sK74)
| ~ v10_lattices(sK74)
| ~ l3_lattices(sK74)
| k7_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75)) = k15_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(resolution,[],[f53318,f40769]) ).
fof(f53335,plain,
( ~ v10_lattices(sK74)
| ~ l3_lattices(sK74)
| k7_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75)) = k15_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53326,f39872]) ).
fof(f53342,plain,
( ~ l3_lattices(sK74)
| k7_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75)) = k15_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53335,f39871]) ).
fof(f53347,plain,
( k7_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75)) = k15_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53342,f39869]) ).
fof(f53352,plain,
( sK176(k1_lattice2(sK74),sK76,sK75) = k15_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(forward_demodulation,[],[f53347,f53071]) ).
fof(f53405,plain,
( ~ v1_filter_0(sK176(k1_lattice2(sK74),sK76,sK75),k1_lattice2(sK74))
| r2_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ m2_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),sK74)
| v3_struct_0(sK74)
| ~ v10_lattices(sK74)
| ~ l3_lattices(sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_249 ),
inference(superposition,[],[f39979,f53352]) ).
fof(f53406,plain,
( r2_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ m2_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),sK74)
| v3_struct_0(sK74)
| ~ v10_lattices(sK74)
| ~ l3_lattices(sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_248
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53405,f53230]) ).
fof(f53407,plain,
( r2_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75))
| v3_struct_0(sK74)
| ~ v10_lattices(sK74)
| ~ l3_lattices(sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_248
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53406,f53318]) ).
fof(f53408,plain,
( r2_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ v10_lattices(sK74)
| ~ l3_lattices(sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_248
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53407,f39872]) ).
fof(f53409,plain,
( r2_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ l3_lattices(sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_248
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53408,f39871]) ).
fof(f53410,plain,
( r2_filter_2(sK74,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_248
| ~ spl757_249 ),
inference(forward_subsumption_resolution,[],[f53409,f39869]) ).
fof(f53411,plain,
( ~ r2_hidden(sK75,sK176(k1_lattice2(sK74),sK76,sK75))
| r2_hidden(sK76,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ m2_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_248
| ~ spl757_249 ),
inference(resolution,[],[f53410,f39876]) ).
fof(f53412,plain,
( r2_hidden(sK75,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ r2_hidden(sK76,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ m2_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_248
| ~ spl757_249 ),
inference(resolution,[],[f53410,f39875]) ).
fof(f53416,plain,
( ~ r2_hidden(sK76,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ m2_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_248
| ~ spl757_249
| spl757_252 ),
inference(forward_subsumption_resolution,[],[f53412,f53089]) ).
fof(f53418,plain,
( ~ m2_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_243
| ~ spl757_248
| ~ spl757_249
| spl757_252 ),
inference(forward_subsumption_resolution,[],[f53416,f52986]) ).
fof(f53420,plain,
( $false
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_243
| ~ spl757_248
| ~ spl757_249
| spl757_252 ),
inference(forward_subsumption_resolution,[],[f53418,f53318]) ).
fof(f53421,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_243
| ~ spl757_248
| ~ spl757_249
| spl757_252 ),
inference(avatar_contradiction_clause,[],[f53420]) ).
fof(f53626,plain,
( r2_hidden(sK75,sK176(k1_lattice2(sK74),sK76,sK75))
| sK75 = sK76
| ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| spl757_243 ),
inference(resolution,[],[f52985,f40702]) ).
fof(f53627,plain,
( sK75 = sK76
| ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| spl757_243
| spl757_252 ),
inference(forward_subsumption_resolution,[],[f53626,f53089]) ).
fof(f53628,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| spl757_243
| spl757_252 ),
inference(forward_subsumption_resolution,[],[f53627,f39877]) ).
fof(f53629,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| spl757_24
| spl757_243
| spl757_252 ),
inference(forward_subsumption_resolution,[],[f53628,f46899]) ).
fof(f53630,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23
| spl757_24
| spl757_243
| spl757_252 ),
inference(forward_subsumption_resolution,[],[f53629,f46895]) ).
fof(f53631,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_243
| spl757_252 ),
inference(forward_subsumption_resolution,[],[f53630,f47222]) ).
fof(f53632,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_243
| spl757_252 ),
inference(forward_subsumption_resolution,[],[f53631,f46891]) ).
fof(f53633,plain,
( ~ m1_subset_1(sK75,u1_struct_0(sK74))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_243
| spl757_252 ),
inference(forward_demodulation,[],[f53632,f46887]) ).
fof(f53634,plain,
( ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_243
| spl757_252 ),
inference(forward_subsumption_resolution,[],[f53633,f39873]) ).
fof(f53635,plain,
( ~ m1_subset_1(sK76,u1_struct_0(sK74))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_243
| spl757_252 ),
inference(forward_demodulation,[],[f53634,f46887]) ).
fof(f53636,plain,
( $false
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_243
| spl757_252 ),
inference(forward_subsumption_resolution,[],[f53635,f39874]) ).
fof(f53637,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_243
| spl757_252 ),
inference(avatar_contradiction_clause,[],[f53636]) ).
fof(f53638,plain,
( r2_hidden(sK76,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ m2_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_248
| ~ spl757_249
| ~ spl757_252 ),
inference(forward_subsumption_resolution,[],[f53411,f53088]) ).
fof(f53639,plain,
( ~ m2_filter_2(sK176(k1_lattice2(sK74),sK76,sK75),sK74)
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| spl757_243
| ~ spl757_248
| ~ spl757_249
| ~ spl757_252 ),
inference(forward_subsumption_resolution,[],[f53638,f52985]) ).
fof(f53640,plain,
( $false
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| spl757_243
| ~ spl757_248
| ~ spl757_249
| ~ spl757_252 ),
inference(forward_subsumption_resolution,[],[f53639,f53318]) ).
fof(f53641,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| spl757_243
| ~ spl757_248
| ~ spl757_249
| ~ spl757_252 ),
inference(avatar_contradiction_clause,[],[f53640]) ).
fof(f53708,plain,
( sK75 = sK76
| ~ r2_hidden(sK76,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_252 ),
inference(resolution,[],[f53088,f40701]) ).
fof(f53711,plain,
( ~ r2_hidden(sK76,sK176(k1_lattice2(sK74),sK76,sK75))
| ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_252 ),
inference(forward_subsumption_resolution,[],[f53708,f39877]) ).
fof(f53712,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| v3_struct_0(k1_lattice2(sK74))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_243
| ~ spl757_252 ),
inference(forward_subsumption_resolution,[],[f53711,f52986]) ).
fof(f53713,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ v10_lattices(k1_lattice2(sK74))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| spl757_24
| ~ spl757_243
| ~ spl757_252 ),
inference(forward_subsumption_resolution,[],[f53712,f46899]) ).
fof(f53714,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ v17_lattices(k1_lattice2(sK74))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23
| spl757_24
| ~ spl757_243
| ~ spl757_252 ),
inference(forward_subsumption_resolution,[],[f53713,f46895]) ).
fof(f53715,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ l3_lattices(k1_lattice2(sK74))
| ~ spl757_23
| spl757_24
| ~ spl757_35
| ~ spl757_243
| ~ spl757_252 ),
inference(forward_subsumption_resolution,[],[f53714,f47222]) ).
fof(f53716,plain,
( ~ m1_subset_1(sK75,u1_struct_0(k1_lattice2(sK74)))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| ~ spl757_243
| ~ spl757_252 ),
inference(forward_subsumption_resolution,[],[f53715,f46891]) ).
fof(f53717,plain,
( ~ m1_subset_1(sK75,u1_struct_0(sK74))
| ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| ~ spl757_243
| ~ spl757_252 ),
inference(forward_demodulation,[],[f53716,f46887]) ).
fof(f53718,plain,
( ~ m1_subset_1(sK76,u1_struct_0(k1_lattice2(sK74)))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| ~ spl757_243
| ~ spl757_252 ),
inference(forward_subsumption_resolution,[],[f53717,f39873]) ).
fof(f53719,plain,
( ~ m1_subset_1(sK76,u1_struct_0(sK74))
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| ~ spl757_243
| ~ spl757_252 ),
inference(forward_demodulation,[],[f53718,f46887]) ).
fof(f53720,plain,
( $false
| ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| ~ spl757_243
| ~ spl757_252 ),
inference(forward_subsumption_resolution,[],[f53719,f39874]) ).
fof(f53721,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| ~ spl757_243
| ~ spl757_252 ),
inference(avatar_contradiction_clause,[],[f53720]) ).
cnf(s23,plain,
spl757_22,
inference(sat_conversion,[],[f46918]) ).
cnf(s25,plain,
~ spl757_24,
inference(sat_conversion,[],[f46929]) ).
cnf(s27,plain,
( spl757_27
| spl757_28 ),
inference(sat_conversion,[],[f47112]) ).
cnf(s28,plain,
( spl757_27
| spl757_29 ),
inference(sat_conversion,[],[f47117]) ).
cnf(s29,plain,
~ spl757_27,
inference(sat_conversion,[],[f47122]) ).
cnf(s30,plain,
spl757_23,
inference(sat_conversion,[],[f47141]) ).
cnf(s42,plain,
spl757_35,
inference(sat_conversion,[],[f47293]) ).
cnf(s173,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_249 ),
inference(sat_conversion,[],[f53067]) ).
cnf(s177,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_248 ),
inference(sat_conversion,[],[f53182]) ).
cnf(s181,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_28
| ~ spl757_29
| ~ spl757_35
| ~ spl757_242 ),
inference(sat_conversion,[],[f53220]) ).
cnf(s188,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| ~ spl757_243
| ~ spl757_248
| ~ spl757_249
| spl757_252 ),
inference(sat_conversion,[],[f53421]) ).
cnf(s206,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_243
| spl757_252 ),
inference(sat_conversion,[],[f53637]) ).
cnf(s207,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| spl757_242
| spl757_243
| ~ spl757_248
| ~ spl757_249
| ~ spl757_252 ),
inference(sat_conversion,[],[f53641]) ).
cnf(s209,plain,
( ~ spl757_22
| ~ spl757_23
| spl757_24
| ~ spl757_35
| ~ spl757_243
| ~ spl757_252 ),
inference(sat_conversion,[],[f53721]) ).
cnf(s221,plain,
spl757_29,
inference(rat,[],[s28,s29]) ).
cnf(s222,plain,
spl757_28,
inference(rat,[],[s27,s29]) ).
cnf(s226,plain,
~ spl757_242,
inference(rat,[],[s181,s25,s42,s221,s222,s30,s23]) ).
cnf(s227,plain,
spl757_248,
inference(rat,[],[s177,s25,s42,s30,s23]) ).
cnf(s229,plain,
spl757_249,
inference(rat,[],[s173,s25,s42,s30,s23]) ).
cnf(s247,plain,
spl757_243,
inference(rat,[],[s207,s206,s30,s42,s25,s23,s227,s229,s226]) ).
cnf(s248,plain,
~ spl757_252,
inference(rat,[],[s209,s23,s25,s42,s30,s247]) ).
cnf(s249,plain,
$false,
inference(rat,[],[s188,s226,s229,s227,s23,s25,s42,s30,s248,s247]) ).
fof(f53722,plain,
$false,
inference(avatar_sat_refutation,[],[s249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT324+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 14:37:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 18.08/5.27 % (299566)Detected formulas, will run a generic FOF schedule.
% 18.08/5.27 % (299571)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=374579254:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 18.08/5.27 % (299577)dis-21_1_sil=8000:lcm=predicate:random_seed=1174152787:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2978 on theBenchmark for (2978ds/129Mi)
% 18.08/5.27 % (299573)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=1337939288:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 18.08/5.27 % (299575)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2632404021:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 18.08/5.27 % (299572)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=2744190881:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 18.08/5.27 % (299576)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3342090514:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 18.08/5.27 % (299574)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1186338699:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 18.08/5.27 % (299576)Instruction limit reached!
% 18.08/5.27 % (299576)------------------------------
% 18.08/5.27 % (299576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/5.27 % (299576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/5.27 % (299576)CaDiCaL version: 2.1.3
% 18.08/5.27 % (299576)Termination reason: Instruction limit
% 18.08/5.27 % (299576)Termination phase: Property scanning
% 18.08/5.27 % (299576)Time elapsed: 0.062 s
% 18.08/5.27 % (299576)Peak memory usage: 136 MB
% 18.08/5.27 % (299576)Instructions burned: 140 (million)
% 18.08/5.27 % (299574)Instruction limit reached!
% 18.08/5.27 % (299574)------------------------------
% 18.08/5.27 % (299574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/5.27 % (299574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/5.27 % (299574)CaDiCaL version: 2.1.3
% 18.08/5.27 % (299574)Termination reason: Instruction limit
% 18.08/5.27 % (299574)Termination phase: SInE selection
% 18.08/5.27 % (299574)Time elapsed: 0.080 s
% 18.08/5.27 % (299574)Peak memory usage: 136 MB
% 18.08/5.27 % (299574)Instructions burned: 109 (million)
% 18.08/5.27 % (299575)Instruction limit reached!
% 18.08/5.27 % (299575)------------------------------
% 18.08/5.27 % (299575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/5.27 % (299575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/5.27 % (299575)CaDiCaL version: 2.1.3
% 18.08/5.27 % (299575)Termination reason: Instruction limit
% 18.08/5.27 % (299575)Termination phase: SInE selection
% 18.08/5.27 % (299575)Time elapsed: 0.086 s
% 18.08/5.27 % (299575)Peak memory usage: 136 MB
% 18.08/5.27 % (299575)Instructions burned: 120 (million)
% 18.08/5.27 % (299577)Instruction limit reached!
% 18.08/5.27 % (299577)------------------------------
% 18.08/5.27 % (299577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/5.27 % (299577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/5.27 % (299577)CaDiCaL version: 2.1.3
% 18.08/5.27 % (299577)Termination reason: Instruction limit
% 18.08/5.27 % (299577)Termination phase: SInE selection
% 18.08/5.27 % (299577)Time elapsed: 0.089 s
% 18.08/5.27 % (299577)Peak memory usage: 136 MB
% 18.08/5.27 % (299577)Instructions burned: 129 (million)
% 18.08/5.27 % (299585)lrs+10_1_sil=8000:sp=occurrence:random_seed=1761238640:i=285:sd=3:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/285Mi)
% 18.08/5.27 % (299586)lrs+10_1_sil=32000:urr=on:br=off:random_seed=927644692:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 18.08/5.27 % (299587)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3758600294:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 18.08/5.27 % (299588)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=4164968621:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 18.08/5.27 % (299586)Instruction limit reached!
% 18.08/5.27 % (299586)------------------------------
% 26.48/6.46 % (299586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.48/6.46 % (299586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/6.46 % (299586)CaDiCaL version: 2.1.3
% 26.48/6.46 % (299586)Termination reason: Instruction limit
% 26.48/6.46 % (299586)Termination phase: Property scanning
% 26.48/6.46 % (299586)Time elapsed: 0.069 s
% 26.48/6.46 % (299586)Peak memory usage: 136 MB
% 26.48/6.46 % (299586)Instructions burned: 157 (million)
% 26.48/6.46 % (299588)Instruction limit reached!
% 26.48/6.46 % (299588)------------------------------
% 26.48/6.46 % (299588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.48/6.46 % (299588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/6.46 % (299588)CaDiCaL version: 2.1.3
% 26.48/6.46 % (299588)Termination reason: Instruction limit
% 26.48/6.46 % (299588)Termination phase: Property scanning
% 26.48/6.46 % (299588)Time elapsed: 0.107 s
% 26.48/6.46 % (299588)Peak memory usage: 136 MB
% 26.48/6.46 % (299588)Instructions burned: 250 (million)
% 26.48/6.46 % (299585)Instruction limit reached!
% 26.48/6.46 % (299585)------------------------------
% 26.48/6.46 % (299585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.48/6.46 % (299585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/6.46 % (299585)CaDiCaL version: 2.1.3
% 26.48/6.46 % (299585)Termination reason: Instruction limit
% 26.48/6.46 % (299585)Termination phase: Saturation
% 26.48/6.46 % (299585)Time elapsed: 0.218 s
% 26.48/6.46 % (299585)Peak memory usage: 141 MB
% 26.48/6.46 % (299585)Instructions burned: 285 (million)
% 26.48/6.46 % (299593)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2602955227:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 26.48/6.46 % (299587)Instruction limit reached!
% 26.48/6.46 % (299587)------------------------------
% 26.48/6.46 % (299587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.48/6.46 % (299587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/6.46 % (299587)CaDiCaL version: 2.1.3
% 26.48/6.46 % (299587)Termination reason: Instruction limit
% 26.48/6.46 % (299587)Termination phase: Saturation
% 26.48/6.46 % (299587)Time elapsed: 0.250 s
% 26.48/6.46 % (299587)Peak memory usage: 142 MB
% 26.48/6.46 % (299587)Instructions burned: 326 (million)
% 26.48/6.46 % (299594)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2651704595:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 26.48/6.46 % (299595)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4147576301:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 26.48/6.46 % (299593)Instruction limit reached!
% 26.48/6.46 % (299593)------------------------------
% 26.48/6.46 % (299593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.48/6.46 % (299593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/6.46 % (299593)CaDiCaL version: 2.1.3
% 26.48/6.46 % (299593)Termination reason: Instruction limit
% 26.48/6.46 % (299593)Termination phase: SInE selection
% 26.48/6.46 % (299593)Time elapsed: 0.183 s
% 26.48/6.46 % (299593)Peak memory usage: 137 MB
% 26.48/6.46 % (299593)Instructions burned: 296 (million)
% 26.48/6.46 % (299597)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=514982975:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 26.48/6.46 % (299595)Instruction limit reached!
% 26.48/6.46 % (299595)------------------------------
% 26.48/6.46 % (299595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.48/6.46 % (299595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/6.46 % (299595)CaDiCaL version: 2.1.3
% 26.48/6.46 % (299595)Termination reason: Instruction limit
% 26.48/6.46 % (299595)Termination phase: SInE selection
% 26.48/6.46 % (299595)Time elapsed: 0.086 s
% 26.48/6.46 % (299595)Peak memory usage: 136 MB
% 26.48/6.46 % (299595)Instructions burned: 113 (million)
% 26.48/6.46 % (299597)Instruction limit reached!
% 26.48/6.46 % (299597)------------------------------
% 26.48/6.46 % (299597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.48/6.46 % (299597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/6.46 % (299597)CaDiCaL version: 2.1.3
% 26.48/6.46 % (299597)Termination reason: Instruction limit
% 26.48/6.46 % (299597)Termination phase: Preprocessing 1
% 26.48/6.46 % (299597)Time elapsed: 0.096 s
% 19.74/8.68 % (299597)Peak memory usage: 137 MB
% 19.74/8.68 % (299597)Instructions burned: 128 (million)
% 19.74/8.68 % (299601)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3476423922:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2970 on theBenchmark for (2970ds/114Mi)
% 19.74/8.68 % (299602)lrs+10_1_sil=8000:sp=occurrence:random_seed=2924328957:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2969 on theBenchmark for (2969ds/907Mi)
% 19.74/8.68 % (299601)Instruction limit reached!
% 19.74/8.68 % (299601)------------------------------
% 19.74/8.68 % (299601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/8.68 % (299601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/8.68 % (299601)CaDiCaL version: 2.1.3
% 19.74/8.68 % (299601)Termination reason: Instruction limit
% 19.74/8.68 % (299601)Termination phase: Property scanning
% 19.74/8.68 % (299601)Time elapsed: 0.053 s
% 19.74/8.68 % (299601)Peak memory usage: 136 MB
% 19.74/8.68 % (299601)Instructions burned: 114 (million)
% 19.74/8.68 % (299603)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1305004166:i=437:sd=1:aac=none:ss=included_2969 on theBenchmark for (2969ds/437Mi)
% 19.74/8.68 % (299606)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1285768341:i=5202:ss=axioms:sgt=16_2967 on theBenchmark for (2967ds/5202Mi)
% 19.74/8.68 % (299603)Instruction limit reached!
% 19.74/8.68 % (299603)------------------------------
% 19.74/8.68 % (299603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/8.68 % (299603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/8.68 % (299603)CaDiCaL version: 2.1.3
% 19.74/8.68 % (299603)Termination reason: Instruction limit
% 19.74/8.68 % (299603)Termination phase: Saturation
% 19.74/8.68 % (299603)Time elapsed: 0.305 s
% 19.74/8.68 % (299603)Peak memory usage: 144 MB
% 19.74/8.68 % (299603)Instructions burned: 437 (million)
% 19.74/8.68 % (299609)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=763731193:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2964 on theBenchmark for (2964ds/134Mi)
% 19.74/8.68 % (299602)Instruction limit reached!
% 19.74/8.68 % (299602)------------------------------
% 19.74/8.68 % (299602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/8.68 % (299602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/8.68 % (299602)CaDiCaL version: 2.1.3
% 19.74/8.68 % (299602)Termination reason: Instruction limit
% 19.74/8.68 % (299602)Termination phase: Property scanning
% 19.74/8.68 % (299602)Time elapsed: 0.618 s
% 19.74/8.68 % (299602)Peak memory usage: 158 MB
% 19.74/8.68 % (299602)Instructions burned: 909 (million)
% 19.74/8.68 % (299609)Instruction limit reached!
% 19.74/8.68 % (299609)------------------------------
% 19.74/8.68 % (299609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/8.68 % (299609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/8.68 % (299609)CaDiCaL version: 2.1.3
% 19.74/8.68 % (299609)Termination reason: Instruction limit
% 19.74/8.68 % (299609)Termination phase: SInE selection
% 19.74/8.68 % (299609)Time elapsed: 0.102 s
% 19.74/8.68 % (299609)Peak memory usage: 136 MB
% 19.74/8.68 % (299609)Instructions burned: 135 (million)
% 19.74/8.68 % (299611)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3217262775:st=8:i=592:sd=3:ep=RST:ss=axioms_2961 on theBenchmark for (2961ds/592Mi)
% 19.74/8.68 % (299612)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3215691644:st=3:i=13193:sd=3:ss=axioms_2961 on theBenchmark for (2961ds/13193Mi)
% 19.74/8.68 % (299594)Instruction limit reached!
% 19.74/8.68 % (299594)------------------------------
% 19.74/8.68 % (299594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/8.68 % (299594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/8.68 % (299594)CaDiCaL version: 2.1.3
% 19.74/8.68 % (299594)Termination reason: Instruction limit
% 19.74/8.68 % (299594)Termination phase: Property scanning
% 19.74/8.68 % (299594)Time elapsed: 1.552 s
% 19.74/8.68 % (299594)Peak memory usage: 233 MB
% 19.74/8.68 % (299594)Instructions burned: 2352 (million)
% 19.74/8.68 % (299611)Instruction limit reached!
% 19.74/8.68 % (299611)------------------------------
% 19.74/8.68 % (299611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/8.68 % (299611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/8.68 % (299611)CaDiCaL version: 2.1.3
% 19.74/8.68 % (299611)Termination reason: Instruction limit
% 19.74/8.68 % (299611)Termination phase: Naming
% 19.74/8.68 % (299611)Time elapsed: 0.446 s
% 19.74/8.68 % (299611)Peak memory usage: 153 MB
% 19.74/8.68 % (299611)Instructions burned: 593 (million)
% 19.74/8.68 % (299615)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=2756822421:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2955 on theBenchmark for (2955ds/125Mi)
% 19.74/8.68 % (299616)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1649298038:i=134:gtgl=5:slsql=off:gtg=exists_sym_2955 on theBenchmark for (2955ds/134Mi)
% 19.74/8.68 % (299615)Instruction limit reached!
% 19.74/8.68 % (299615)------------------------------
% 19.74/8.68 % (299615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/8.68 % (299615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/8.68 % (299615)CaDiCaL version: 2.1.3
% 19.74/8.68 % (299615)Termination reason: Instruction limit
% 19.74/8.68 % (299615)Termination phase: Property scanning
% 19.74/8.68 % (299615)Time elapsed: 0.057 s
% 19.74/8.68 % (299615)Peak memory usage: 136 MB
% 19.74/8.68 % (299615)Instructions burned: 127 (million)
% 19.74/8.68 % (299616)Instruction limit reached!
% 19.74/8.68 % (299616)------------------------------
% 19.74/8.68 % (299616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/8.68 % (299616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/8.68 % (299616)CaDiCaL version: 2.1.3
% 19.74/8.68 % (299616)Termination reason: Instruction limit
% 19.74/8.68 % (299616)Termination phase: Property scanning
% 19.74/8.68 % (299616)Time elapsed: 0.061 s
% 19.74/8.68 % (299616)Peak memory usage: 136 MB
% 19.74/8.68 % (299616)Instructions burned: 135 (million)
% 19.74/8.68 % (299619)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1935681623:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2953 on theBenchmark for (2953ds/141Mi)
% 19.74/8.68 % (299620)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2539953920:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2953 on theBenchmark for (2953ds/431Mi)
% 19.74/8.68 % (299619)Instruction limit reached!
% 19.74/8.68 % (299619)------------------------------
% 19.74/8.68 % (299619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/8.68 % (299619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/8.68 % (299619)CaDiCaL version: 2.1.3
% 19.74/8.68 % (299619)Termination reason: Instruction limit
% 19.74/8.68 % (299619)Termination phase: SInE selection
% 19.74/8.68 % (299619)Time elapsed: 0.106 s
% 19.74/8.68 % (299619)Peak memory usage: 136 MB
% 19.74/8.68 % (299619)Instructions burned: 142 (million)
% 19.74/8.68 % (299623)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=553982221:i=6060:aac=none:ins=25_2950 on theBenchmark for (2950ds/6060Mi)
% 19.74/8.68 % (299620)Instruction limit reached!
% 19.74/8.68 % (299620)------------------------------
% 19.74/8.68 % (299620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/8.68 % (299620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/8.68 % (299620)CaDiCaL version: 2.1.3
% 19.74/8.68 % (299620)Termination reason: Instruction limit
% 19.74/8.68 % (299620)Termination phase: Saturation
% 19.74/8.68 % (299620)Time elapsed: 0.309 s
% 19.74/8.68 % (299620)Peak memory usage: 144 MB
% 19.74/8.68 % (299620)Instructions burned: 431 (million)
% 19.74/8.68 % (299625)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=1015642731:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2948 on theBenchmark for (2948ds/150Mi)
% 19.74/8.68 % (299625)Instruction limit reached!
% 19.74/8.68 % (299625)------------------------------
% 19.74/8.68 % (299625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/8.68 % (299625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/8.68 % (299625)CaDiCaL version: 2.1.3
% 19.74/8.68 % (299625)Termination reason: Instruction limit
% 19.74/8.68 % (299625)Termination phase: SInE selection
% 19.74/8.68 % (299625)Time elapsed: 0.117 s
% 19.74/8.68 % (299625)Peak memory usage: 136 MB
% 19.74/8.68 % (299625)Instructions burned: 150 (million)
% 19.74/8.68 % (299627)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3001469061:i=14155:bd=all_2945 on theBenchmark for (2945ds/14155Mi)
% 19.74/8.68 % (299606)Instruction limit reached!
% 19.74/8.68 % (299606)------------------------------
% 19.74/8.68 % (299606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/8.68 % (299606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/8.68 % (299606)CaDiCaL version: 2.1.3
% 19.74/8.68 % (299606)Termination reason: Instruction limit
% 19.74/8.68 % (299606)Termination phase: Saturation
% 19.74/8.68 % (299606)Time elapsed: 3.935 s
% 19.74/8.68 % (299606)Peak memory usage: 633 MB
% 19.74/8.68 % (299606)Instructions burned: 5206 (million)
% 19.74/8.68 % (299612)First to succeed.
% 19.74/8.68 % (299612)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-299566"
% 19.74/8.68 % (299629)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4113657766:i=667:av=off:fsr=off_2926 on theBenchmark for (2926ds/667Mi)
% 19.74/8.68 % (299612)Refutation found. Thanks to Tanya!
% 19.74/8.68 % SZS status Theorem for theBenchmark
% 19.74/8.68 % SZS output start Proof for theBenchmark
% See solution above
% 42.56/8.94 % (299612)------------------------------
% 42.56/8.94 % (299612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.56/8.94 % (299612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.56/8.94 % (299612)CaDiCaL version: 2.1.3
% 42.56/8.94 % (299612)Termination reason: Refutation
% 42.56/8.94 % (299612)Time elapsed: 3.422 s
% 42.56/8.94 % (299612)Peak memory usage: 247 MB
% 42.56/8.94 % (299612)Instructions burned: 5312 (million)
% 42.56/8.94 % (299612)------------------------------
% 42.56/8.94 % (299612)------------------------------
% 42.56/8.94 % (299566)Success in time 7.832 s
% 42.56/8.94 % Vampire exiting
%------------------------------------------------------------------------------