%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT314+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 : n015.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 11:46:50 AM UTC 2026
% Result : Theorem 16.21s 7.84s
% Output : Refutation 36.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 20
% Syntax : Number of formulae : 178 ( 26 unt; 7 def)
% Number of atoms : 790 ( 76 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 981 ( 369 ~; 453 |; 124 &)
% ( 9 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 7 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 157 ( 0 sgn 151 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(f21552,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] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> k5_filter_0(X0,X1,X2) = k5_filter_0(X0,X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_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(f21606,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k5_filter_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_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(f22752,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f22780,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/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(f34612,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f34623,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_filter_2) ).
fof(f34677,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(f34713,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] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_filter_2) ).
fof(f34716,conjecture,
! [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] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X2,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_filter_2) ).
fof(f34717,negated_conjecture,
~ ! [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] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X2,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f34716]) ).
fof(f34931,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X2,X1))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(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,[],[f34717]) ).
fof(f34932,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X2,X1))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(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,[],[f34931]) ).
fof(f34986,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f34612]) ).
fof(f34987,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f34986]) ).
fof(f34996,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) )
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(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,[],[f34713]) ).
fof(f34997,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) )
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(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,[],[f34996]) ).
fof(f35517,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_filter_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f21606]) ).
fof(f35518,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_filter_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f35517]) ).
fof(f35523,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_filter_0(X0,X1,X2) = k5_filter_0(X0,X2,X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(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,[],[f21552]) ).
fof(f35524,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_filter_0(X0,X1,X2) = k5_filter_0(X0,X2,X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(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,[],[f35523]) ).
fof(f35537,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22852]) ).
fof(f35550,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(f35551,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,[],[f35550]) ).
fof(f35553,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22752]) ).
fof(f35554,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35553]) ).
fof(f35555,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(f35556,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35555]) ).
fof(f35559,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,[],[f34677]) ).
fof(f35560,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,[],[f35559]) ).
fof(f35563,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f34623]) ).
fof(f35564,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f35563]) ).
fof(f36691,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(f36692,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,[],[f36691]) ).
fof(f36693,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(f36694,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36693]) ).
fof(f38232,definition,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP5(X0) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f38233,plain,
! [X0] :
( sP5(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f35554,f38232]) ).
fof(f38341,plain,
( ~ r1_filter_2(u1_struct_0(sK70),k20_filter_2(sK70,sK71,sK72),k20_filter_2(sK70,sK72,sK71))
& ~ v1_xboole_0(sK72)
& m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(sK70)))
& ~ v1_xboole_0(sK71)
& m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(sK70)))
& ~ v3_struct_0(sK70)
& v10_lattices(sK70)
& l3_lattices(sK70) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70,sK71,sK72]),skolemize(X0,sK70),skolemize(X1,sK71),skolemize(X2,sK72)],[f34932]) ).
fof(f38383,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f34987]) ).
fof(f38569,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f38232]) ).
fof(f39399,plain,
l3_lattices(sK70),
inference(cnf_transformation,[],[f38341]) ).
fof(f39400,plain,
v10_lattices(sK70),
inference(cnf_transformation,[],[f38341]) ).
fof(f39401,plain,
~ v3_struct_0(sK70),
inference(cnf_transformation,[],[f38341]) ).
fof(f39402,plain,
m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(sK70))),
inference(cnf_transformation,[],[f38341]) ).
fof(f39403,plain,
~ v1_xboole_0(sK71),
inference(cnf_transformation,[],[f38341]) ).
fof(f39404,plain,
m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(sK70))),
inference(cnf_transformation,[],[f38341]) ).
fof(f39405,plain,
~ v1_xboole_0(sK72),
inference(cnf_transformation,[],[f38341]) ).
fof(f39406,plain,
~ r1_filter_2(u1_struct_0(sK70),k20_filter_2(sK70,sK71,sK72),k20_filter_2(sK70,sK72,sK71)),
inference(cnf_transformation,[],[f38341]) ).
fof(f39498,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| X1 != X2
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f38383]) ).
fof(f39511,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X4)
| k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(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(cnf_transformation,[],[f34997]) ).
fof(f40301,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_filter_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f35518]) ).
fof(f40305,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| k5_filter_0(X0,X1,X2) = k5_filter_0(X0,X2,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,[],[f35524]) ).
fof(f40317,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35537]) ).
fof(f40336,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f35551]) ).
fof(f40338,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f38569]) ).
fof(f40347,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP5(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38233]) ).
fof(f40349,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35556]) ).
fof(f40351,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,[],[f35560]) ).
fof(f40353,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f35564]) ).
fof(f42261,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,[],[f36692]) ).
fof(f42262,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f36694]) ).
fof(f44843,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f39498]) ).
fof(f45314,plain,
! [X2,X0] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r1_filter_2(X0,X2,X2) ),
inference(duplicate_literal_removal,[],[f44843]) ).
fof(f46065,plain,
( sK71 = k7_filter_2(sK70,sK71)
| v3_struct_0(sK70)
| ~ v10_lattices(sK70)
| ~ l3_lattices(sK70) ),
inference(resolution,[],[f40351,f39402]) ).
fof(f46066,plain,
( sK72 = k7_filter_2(sK70,sK72)
| v3_struct_0(sK70)
| ~ v10_lattices(sK70)
| ~ l3_lattices(sK70) ),
inference(resolution,[],[f40351,f39404]) ).
fof(f46068,plain,
( sK72 = k7_filter_2(sK70,sK72)
| ~ v10_lattices(sK70)
| ~ l3_lattices(sK70) ),
inference(forward_subsumption_resolution,[],[f46066,f39401]) ).
fof(f46069,plain,
( sK71 = k7_filter_2(sK70,sK71)
| ~ v10_lattices(sK70)
| ~ l3_lattices(sK70) ),
inference(forward_subsumption_resolution,[],[f46065,f39401]) ).
fof(f46070,plain,
( sK72 = k7_filter_2(sK70,sK72)
| ~ l3_lattices(sK70) ),
inference(forward_subsumption_resolution,[],[f46068,f39400]) ).
fof(f46071,plain,
( sK71 = k7_filter_2(sK70,sK71)
| ~ l3_lattices(sK70) ),
inference(forward_subsumption_resolution,[],[f46069,f39400]) ).
fof(f46072,plain,
sK72 = k7_filter_2(sK70,sK72),
inference(forward_subsumption_resolution,[],[f46070,f39399]) ).
fof(f46073,plain,
sK71 = k7_filter_2(sK70,sK71),
inference(forward_subsumption_resolution,[],[f46071,f39399]) ).
fof(f46085,definition,
( spl716_20
<=> v1_xboole_0(u1_struct_0(sK70)) ),
introduced(definition,[new_symbols(definition,[spl716_20])],[avatar_definition]) ).
fof(f46086,plain,
( ~ v1_xboole_0(u1_struct_0(sK70))
| spl716_20 ),
inference(avatar_component_clause,[],[f46085]) ).
fof(f46087,plain,
( v1_xboole_0(u1_struct_0(sK70))
| ~ spl716_20 ),
inference(avatar_component_clause,[],[f46085]) ).
fof(f46121,plain,
( m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v3_struct_0(sK70)
| ~ v10_lattices(sK70)
| ~ l3_lattices(sK70)
| ~ m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(superposition,[],[f40353,f46073]) ).
fof(f46122,plain,
( m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v3_struct_0(sK70)
| ~ v10_lattices(sK70)
| ~ l3_lattices(sK70)
| ~ m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(superposition,[],[f40353,f46072]) ).
fof(f46124,plain,
( m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ v10_lattices(sK70)
| ~ l3_lattices(sK70)
| ~ m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(forward_subsumption_resolution,[],[f46122,f39401]) ).
fof(f46125,plain,
( m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ v10_lattices(sK70)
| ~ l3_lattices(sK70)
| ~ m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(forward_subsumption_resolution,[],[f46121,f39401]) ).
fof(f46128,plain,
( m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ l3_lattices(sK70)
| ~ m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(forward_subsumption_resolution,[],[f46124,f39400]) ).
fof(f46129,plain,
( m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ l3_lattices(sK70)
| ~ m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(forward_subsumption_resolution,[],[f46125,f39400]) ).
fof(f46132,plain,
( m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(forward_subsumption_resolution,[],[f46128,f39399]) ).
fof(f46133,plain,
( m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(forward_subsumption_resolution,[],[f46129,f39399]) ).
fof(f46134,plain,
m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70)))),
inference(forward_subsumption_resolution,[],[f46132,f39404]) ).
fof(f46135,plain,
m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70)))),
inference(forward_subsumption_resolution,[],[f46133,f39402]) ).
fof(f46136,plain,
! [X2,X0,X1] :
( v1_xboole_0(sK71)
| k20_filter_2(sK70,X0,X1) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),k7_filter_2(sK70,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK70)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| v3_struct_0(sK70)
| ~ v10_lattices(sK70)
| ~ l3_lattices(sK70) ),
inference(resolution,[],[f46135,f39511]) ).
fof(f46150,definition,
( spl716_24
<=> l3_lattices(k1_lattice2(sK70)) ),
introduced(definition,[new_symbols(definition,[spl716_24])],[avatar_definition]) ).
fof(f46151,plain,
( l3_lattices(k1_lattice2(sK70))
| ~ spl716_24 ),
inference(avatar_component_clause,[],[f46150]) ).
fof(f46152,plain,
( ~ l3_lattices(k1_lattice2(sK70))
| spl716_24 ),
inference(avatar_component_clause,[],[f46150]) ).
fof(f46154,definition,
( spl716_25
<=> v10_lattices(k1_lattice2(sK70)) ),
introduced(definition,[new_symbols(definition,[spl716_25])],[avatar_definition]) ).
fof(f46155,plain,
( v10_lattices(k1_lattice2(sK70))
| ~ spl716_25 ),
inference(avatar_component_clause,[],[f46154]) ).
fof(f46156,plain,
( ~ v10_lattices(k1_lattice2(sK70))
| spl716_25 ),
inference(avatar_component_clause,[],[f46154]) ).
fof(f46158,definition,
( spl716_26
<=> v3_struct_0(k1_lattice2(sK70)) ),
introduced(definition,[new_symbols(definition,[spl716_26])],[avatar_definition]) ).
fof(f46159,plain,
( ~ v3_struct_0(k1_lattice2(sK70))
| spl716_26 ),
inference(avatar_component_clause,[],[f46158]) ).
fof(f46160,plain,
( v3_struct_0(k1_lattice2(sK70))
| ~ spl716_26 ),
inference(avatar_component_clause,[],[f46158]) ).
fof(f46167,plain,
! [X2,X0,X1] :
( k20_filter_2(sK70,X0,X1) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),k7_filter_2(sK70,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK70)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| v3_struct_0(sK70)
| ~ v10_lattices(sK70)
| ~ l3_lattices(sK70) ),
inference(forward_subsumption_resolution,[],[f46136,f39403]) ).
fof(f46172,plain,
! [X2,X0,X1] :
( k20_filter_2(sK70,X0,X1) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),k7_filter_2(sK70,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK70)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| ~ v10_lattices(sK70)
| ~ l3_lattices(sK70) ),
inference(forward_subsumption_resolution,[],[f46167,f39401]) ).
fof(f46173,plain,
! [X2,X0,X1] :
( k20_filter_2(sK70,X0,X1) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),k7_filter_2(sK70,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK70)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| ~ l3_lattices(sK70) ),
inference(forward_subsumption_resolution,[],[f46172,f39400]) ).
fof(f46174,plain,
! [X2,X0,X1] :
( k20_filter_2(sK70,X0,X1) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),k7_filter_2(sK70,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK70)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(forward_subsumption_resolution,[],[f46173,f39399]) ).
fof(f46176,definition,
( spl716_29
<=> ! [X2] :
( v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70)))) ) ),
introduced(definition,[new_symbols(definition,[spl716_29])],[avatar_definition]) ).
fof(f46177,plain,
( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(X2) )
| ~ spl716_29 ),
inference(avatar_component_clause,[],[f46176]) ).
fof(f46179,definition,
( spl716_30
<=> ! [X0,X1] :
( k20_filter_2(sK70,X0,X1) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),k7_filter_2(sK70,X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK70)))
| v1_xboole_0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl716_30])],[avatar_definition]) ).
fof(f46180,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK70)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| v1_xboole_0(X0)
| k20_filter_2(sK70,X0,X1) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),k7_filter_2(sK70,X1))
| v1_xboole_0(X1) )
| ~ spl716_30 ),
inference(avatar_component_clause,[],[f46179]) ).
fof(f46181,plain,
( spl716_29
| spl716_30 ),
inference(avatar_split_clause,[],[f46174,f46179,f46176]) ).
fof(f46194,plain,
( v1_xboole_0(sK71)
| ~ spl716_29 ),
inference(resolution,[],[f46177,f46135]) ).
fof(f46198,plain,
( $false
| ~ spl716_29 ),
inference(forward_subsumption_resolution,[],[f46194,f39403]) ).
fof(f46199,plain,
~ spl716_29,
inference(avatar_contradiction_clause,[],[f46198]) ).
fof(f46205,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| v1_xboole_0(X0)
| k20_filter_2(sK70,X0,sK71) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),k7_filter_2(sK70,sK71))
| v1_xboole_0(sK71) )
| ~ spl716_30 ),
inference(resolution,[],[f46180,f39402]) ).
fof(f46206,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| v1_xboole_0(X0)
| k20_filter_2(sK70,X0,sK72) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),k7_filter_2(sK70,sK72))
| v1_xboole_0(sK72) )
| ~ spl716_30 ),
inference(resolution,[],[f46180,f39404]) ).
fof(f46207,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| v1_xboole_0(X0)
| k20_filter_2(sK70,X0,sK72) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),k7_filter_2(sK70,sK72)) )
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f46206,f39405]) ).
fof(f46208,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| v1_xboole_0(X0)
| k20_filter_2(sK70,X0,sK71) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),k7_filter_2(sK70,sK71)) )
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f46205,f39403]) ).
fof(f46211,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| k20_filter_2(sK70,X0,sK72) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),sK72)
| v1_xboole_0(X0) )
| ~ spl716_30 ),
inference(forward_demodulation,[],[f46207,f46072]) ).
fof(f46212,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| k20_filter_2(sK70,X0,sK71) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,X0),sK71)
| v1_xboole_0(X0) )
| ~ spl716_30 ),
inference(forward_demodulation,[],[f46208,f46073]) ).
fof(f46220,plain,
( k20_filter_2(sK70,sK71,sK72) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,sK71),sK72)
| v1_xboole_0(sK71)
| ~ spl716_30 ),
inference(resolution,[],[f46211,f39402]) ).
fof(f46223,plain,
( k20_filter_2(sK70,sK71,sK72) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,sK71),sK72)
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f46220,f39403]) ).
fof(f46227,plain,
( k20_filter_2(sK70,sK71,sK72) = k5_filter_0(k1_lattice2(sK70),sK71,sK72)
| ~ spl716_30 ),
inference(forward_demodulation,[],[f46223,f46073]) ).
fof(f46236,plain,
( k20_filter_2(sK70,sK72,sK71) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,sK72),sK71)
| v1_xboole_0(sK72)
| ~ spl716_30 ),
inference(resolution,[],[f46212,f39404]) ).
fof(f46237,plain,
( k20_filter_2(sK70,sK72,sK71) = k5_filter_0(k1_lattice2(sK70),k7_filter_2(sK70,sK72),sK71)
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f46236,f39405]) ).
fof(f46241,plain,
( k20_filter_2(sK70,sK72,sK71) = k5_filter_0(k1_lattice2(sK70),sK72,sK71)
| ~ spl716_30 ),
inference(forward_demodulation,[],[f46237,f46072]) ).
fof(f46248,plain,
( ~ l3_lattices(sK70)
| spl716_24 ),
inference(resolution,[],[f46152,f40317]) ).
fof(f46249,plain,
( $false
| spl716_24 ),
inference(forward_subsumption_resolution,[],[f46248,f39399]) ).
fof(f46250,plain,
spl716_24,
inference(avatar_contradiction_clause,[],[f46249]) ).
fof(f46279,plain,
( v3_struct_0(sK70)
| u1_struct_0(sK70) = u1_struct_0(k1_lattice2(sK70)) ),
inference(resolution,[],[f40336,f39399]) ).
fof(f46287,plain,
u1_struct_0(sK70) = u1_struct_0(k1_lattice2(sK70)),
inference(forward_subsumption_resolution,[],[f46279,f39401]) ).
fof(f46288,plain,
( v3_struct_0(sK70)
| ~ l3_lattices(sK70)
| ~ spl716_26 ),
inference(resolution,[],[f46160,f40349]) ).
fof(f46289,plain,
( ~ l3_lattices(sK70)
| ~ spl716_26 ),
inference(forward_subsumption_resolution,[],[f46288,f39401]) ).
fof(f46290,plain,
( $false
| ~ spl716_26 ),
inference(forward_subsumption_resolution,[],[f46289,f39399]) ).
fof(f46291,plain,
~ spl716_26,
inference(avatar_contradiction_clause,[],[f46290]) ).
fof(f46344,plain,
! [X0] :
( v1_xboole_0(sK72)
| k5_filter_0(k1_lattice2(sK70),X0,sK72) = k5_filter_0(k1_lattice2(sK70),sK72,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v3_struct_0(k1_lattice2(sK70))
| ~ v10_lattices(k1_lattice2(sK70))
| ~ l3_lattices(k1_lattice2(sK70)) ),
inference(resolution,[],[f40305,f46134]) ).
fof(f46449,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,[],[f42261,f42262]) ).
fof(f46452,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f46449]) ).
fof(f46453,plain,
( v3_struct_0(sK70)
| ~ v10_lattices(sK70)
| ~ l3_lattices(sK70)
| ~ spl716_20 ),
inference(resolution,[],[f46452,f46087]) ).
fof(f46455,plain,
( ~ v10_lattices(sK70)
| ~ l3_lattices(sK70)
| ~ spl716_20 ),
inference(forward_subsumption_resolution,[],[f46453,f39401]) ).
fof(f46456,plain,
( ~ l3_lattices(sK70)
| ~ spl716_20 ),
inference(forward_subsumption_resolution,[],[f46455,f39400]) ).
fof(f46457,plain,
( $false
| ~ spl716_20 ),
inference(forward_subsumption_resolution,[],[f46456,f39399]) ).
fof(f46458,plain,
~ spl716_20,
inference(avatar_contradiction_clause,[],[f46457]) ).
fof(f46580,plain,
( ~ sP5(sK70)
| spl716_25 ),
inference(resolution,[],[f40338,f46156]) ).
fof(f46581,plain,
( v3_struct_0(sK70)
| sP5(sK70)
| ~ l3_lattices(sK70) ),
inference(resolution,[],[f40347,f39400]) ).
fof(f46584,plain,
( sP5(sK70)
| ~ l3_lattices(sK70) ),
inference(forward_subsumption_resolution,[],[f46581,f39401]) ).
fof(f46585,plain,
( ~ l3_lattices(sK70)
| spl716_25 ),
inference(forward_subsumption_resolution,[],[f46584,f46580]) ).
fof(f46586,plain,
( $false
| spl716_25 ),
inference(forward_subsumption_resolution,[],[f46585,f39399]) ).
fof(f46587,plain,
spl716_25,
inference(avatar_contradiction_clause,[],[f46586]) ).
fof(f46598,plain,
! [X0] :
( k5_filter_0(k1_lattice2(sK70),X0,sK72) = k5_filter_0(k1_lattice2(sK70),sK72,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v3_struct_0(k1_lattice2(sK70))
| ~ v10_lattices(k1_lattice2(sK70))
| ~ l3_lattices(k1_lattice2(sK70)) ),
inference(forward_subsumption_resolution,[],[f46344,f39405]) ).
fof(f46617,plain,
( ! [X0] :
( k5_filter_0(k1_lattice2(sK70),X0,sK72) = k5_filter_0(k1_lattice2(sK70),sK72,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ v10_lattices(k1_lattice2(sK70))
| ~ l3_lattices(k1_lattice2(sK70)) )
| spl716_26 ),
inference(forward_subsumption_resolution,[],[f46598,f46159]) ).
fof(f46635,plain,
( ! [X0] :
( k5_filter_0(k1_lattice2(sK70),X0,sK72) = k5_filter_0(k1_lattice2(sK70),sK72,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ l3_lattices(k1_lattice2(sK70)) )
| ~ spl716_25
| spl716_26 ),
inference(forward_subsumption_resolution,[],[f46617,f46155]) ).
fof(f46645,plain,
( ! [X0] :
( k5_filter_0(k1_lattice2(sK70),X0,sK72) = k5_filter_0(k1_lattice2(sK70),sK72,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70)))) )
| ~ spl716_24
| ~ spl716_25
| spl716_26 ),
inference(forward_subsumption_resolution,[],[f46635,f46151]) ).
fof(f46652,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK70)))
| k5_filter_0(k1_lattice2(sK70),X0,sK72) = k5_filter_0(k1_lattice2(sK70),sK72,X0)
| v1_xboole_0(X0) )
| ~ spl716_24
| ~ spl716_25
| spl716_26 ),
inference(forward_demodulation,[],[f46645,f46287]) ).
fof(f46745,plain,
( k5_filter_0(k1_lattice2(sK70),sK71,sK72) = k5_filter_0(k1_lattice2(sK70),sK72,sK71)
| v1_xboole_0(sK71)
| ~ spl716_24
| ~ spl716_25
| spl716_26 ),
inference(resolution,[],[f46652,f39402]) ).
fof(f46747,plain,
( k5_filter_0(k1_lattice2(sK70),sK71,sK72) = k5_filter_0(k1_lattice2(sK70),sK72,sK71)
| ~ spl716_24
| ~ spl716_25
| spl716_26 ),
inference(forward_subsumption_resolution,[],[f46745,f39403]) ).
fof(f46751,plain,
( k20_filter_2(sK70,sK72,sK71) = k5_filter_0(k1_lattice2(sK70),sK71,sK72)
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(forward_demodulation,[],[f46747,f46241]) ).
fof(f46755,plain,
( k20_filter_2(sK70,sK71,sK72) = k20_filter_2(sK70,sK72,sK71)
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(forward_demodulation,[],[f46751,f46227]) ).
fof(f46761,plain,
( ~ r1_filter_2(u1_struct_0(sK70),k20_filter_2(sK70,sK71,sK72),k20_filter_2(sK70,sK71,sK72))
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(superposition,[],[f39406,f46755]) ).
fof(f48404,plain,
( m1_subset_1(k20_filter_2(sK70,sK71,sK72),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v3_struct_0(k1_lattice2(sK70))
| ~ v10_lattices(k1_lattice2(sK70))
| ~ l3_lattices(k1_lattice2(sK70))
| v1_xboole_0(sK71)
| ~ m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(sK72)
| ~ m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ spl716_30 ),
inference(superposition,[],[f40301,f46227]) ).
fof(f48427,plain,
( m1_subset_1(k20_filter_2(sK70,sK71,sK72),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ v10_lattices(k1_lattice2(sK70))
| ~ l3_lattices(k1_lattice2(sK70))
| v1_xboole_0(sK71)
| ~ m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(sK72)
| ~ m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| spl716_26
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f48404,f46159]) ).
fof(f48471,plain,
( m1_subset_1(k20_filter_2(sK70,sK71,sK72),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ l3_lattices(k1_lattice2(sK70))
| v1_xboole_0(sK71)
| ~ m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(sK72)
| ~ m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f48427,f46155]) ).
fof(f48500,plain,
( m1_subset_1(k20_filter_2(sK70,sK71,sK72),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(sK71)
| ~ m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(sK72)
| ~ m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f48471,f46151]) ).
fof(f48526,plain,
( m1_subset_1(k20_filter_2(sK70,sK71,sK72),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ m1_subset_1(sK71,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(sK72)
| ~ m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f48500,f39403]) ).
fof(f48551,plain,
( m1_subset_1(k20_filter_2(sK70,sK71,sK72),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| v1_xboole_0(sK72)
| ~ m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f48526,f46135]) ).
fof(f48557,plain,
( m1_subset_1(k20_filter_2(sK70,sK71,sK72),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ m1_subset_1(sK72,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f48551,f39405]) ).
fof(f48562,plain,
( m1_subset_1(k20_filter_2(sK70,sK71,sK72),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK70))))
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f48557,f46134]) ).
fof(f48582,plain,
( m1_subset_1(k20_filter_2(sK70,sK71,sK72),k1_zfmisc_1(u1_struct_0(sK70)))
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(forward_demodulation,[],[f48562,f46287]) ).
fof(f48615,plain,
( v1_xboole_0(u1_struct_0(sK70))
| r1_filter_2(u1_struct_0(sK70),k20_filter_2(sK70,sK71,sK72),k20_filter_2(sK70,sK71,sK72))
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(resolution,[],[f48582,f45314]) ).
fof(f48618,plain,
( r1_filter_2(u1_struct_0(sK70),k20_filter_2(sK70,sK71,sK72),k20_filter_2(sK70,sK71,sK72))
| spl716_20
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f48615,f46086]) ).
fof(f48646,plain,
( $false
| spl716_20
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(forward_subsumption_resolution,[],[f48618,f46761]) ).
fof(f48647,plain,
( spl716_20
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(avatar_contradiction_clause,[],[f48646]) ).
cnf(s25,plain,
( spl716_29
| spl716_30 ),
inference(sat_conversion,[],[f46181]) ).
cnf(s28,plain,
~ spl716_29,
inference(sat_conversion,[],[f46199]) ).
cnf(s29,plain,
spl716_24,
inference(sat_conversion,[],[f46250]) ).
cnf(s31,plain,
~ spl716_26,
inference(sat_conversion,[],[f46291]) ).
cnf(s32,plain,
~ spl716_20,
inference(sat_conversion,[],[f46458]) ).
cnf(s41,plain,
spl716_25,
inference(sat_conversion,[],[f46587]) ).
cnf(s123,plain,
( spl716_20
| ~ spl716_24
| ~ spl716_25
| spl716_26
| ~ spl716_30 ),
inference(sat_conversion,[],[f48647]) ).
cnf(s130,plain,
~ spl716_30,
inference(rat,[],[s123,s31,s32,s41,s29]) ).
cnf(s133,plain,
$false,
inference(rat,[],[s25,s130,s28]) ).
fof(f48669,plain,
$false,
inference(avatar_sat_refutation,[],[s133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT314+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n015.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 14:34:59 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 16.60/5.05 % (1724468)Detected formulas, will run a generic FOF schedule.
% 16.60/5.05 % (1724477)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2910557408:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 16.60/5.05 % (1724479)dis-21_1_sil=8000:lcm=predicate:random_seed=1215876592: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)
% 16.60/5.05 % (1724474)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=2696292607:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 16.60/5.05 % (1724478)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2339946607:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 16.60/5.05 % (1724475)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=2693170298:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 16.60/5.05 % (1724473)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=743405710:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 16.60/5.05 % (1724476)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=222132684:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 16.60/5.05 % (1724477)Instruction limit reached!
% 16.60/5.05 % (1724477)------------------------------
% 16.60/5.05 % (1724477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.60/5.05 % (1724477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/5.05 % (1724477)CaDiCaL version: 2.1.3
% 16.60/5.05 % (1724477)Termination reason: Instruction limit
% 16.60/5.05 % (1724477)Termination phase: SInE selection
% 16.60/5.05 % (1724477)Time elapsed: 0.054 s
% 16.60/5.05 % (1724477)Peak memory usage: 136 MB
% 16.60/5.05 % (1724477)Instructions burned: 119 (million)
% 16.60/5.05 % (1724478)Instruction limit reached!
% 16.60/5.05 % (1724478)------------------------------
% 16.60/5.05 % (1724478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.60/5.05 % (1724478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/5.05 % (1724478)CaDiCaL version: 2.1.3
% 16.60/5.05 % (1724478)Termination reason: Instruction limit
% 16.60/5.05 % (1724478)Termination phase: Property scanning
% 16.60/5.05 % (1724478)Time elapsed: 0.062 s
% 16.60/5.05 % (1724478)Peak memory usage: 136 MB
% 16.60/5.05 % (1724478)Instructions burned: 141 (million)
% 16.60/5.05 % (1724476)Instruction limit reached!
% 16.60/5.05 % (1724476)------------------------------
% 16.60/5.05 % (1724476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.60/5.05 % (1724476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/5.05 % (1724476)CaDiCaL version: 2.1.3
% 16.60/5.05 % (1724476)Termination reason: Instruction limit
% 16.60/5.05 % (1724476)Termination phase: SInE selection
% 16.60/5.05 % (1724476)Time elapsed: 0.082 s
% 16.60/5.05 % (1724476)Peak memory usage: 136 MB
% 16.60/5.05 % (1724476)Instructions burned: 110 (million)
% 16.60/5.05 % (1724479)Instruction limit reached!
% 16.60/5.05 % (1724479)------------------------------
% 16.60/5.05 % (1724479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.60/5.05 % (1724479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/5.05 % (1724479)CaDiCaL version: 2.1.3
% 16.60/5.05 % (1724479)Termination reason: Instruction limit
% 16.60/5.05 % (1724479)Termination phase: SInE selection
% 16.60/5.05 % (1724479)Time elapsed: 0.091 s
% 16.60/5.05 % (1724479)Peak memory usage: 136 MB
% 16.60/5.05 % (1724479)Instructions burned: 129 (million)
% 16.60/5.05 % (1724487)lrs+10_1_sil=8000:sp=occurrence:random_seed=2545092951:i=285:sd=3:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/285Mi)
% 16.60/5.05 % (1724488)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3052440907:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 16.60/5.05 % (1724489)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1467128049:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 16.60/5.05 % (1724490)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=2668030153:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 16.60/5.05 % (1724487)Instruction limit reached!
% 23.71/6.05 % (1724487)------------------------------
% 23.71/6.05 % (1724487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/6.05 % (1724487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/6.05 % (1724487)CaDiCaL version: 2.1.3
% 23.71/6.05 % (1724487)Termination reason: Instruction limit
% 23.71/6.05 % (1724487)Termination phase: Saturation
% 23.71/6.05 % (1724487)Time elapsed: 0.133 s
% 23.71/6.05 % (1724487)Peak memory usage: 142 MB
% 23.71/6.05 % (1724487)Instructions burned: 286 (million)
% 23.71/6.05 % (1724488)Instruction limit reached!
% 23.71/6.05 % (1724488)------------------------------
% 23.71/6.05 % (1724488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/6.05 % (1724488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/6.05 % (1724488)CaDiCaL version: 2.1.3
% 23.71/6.05 % (1724488)Termination reason: Instruction limit
% 23.71/6.05 % (1724488)Termination phase: Property scanning
% 23.71/6.05 % (1724488)Time elapsed: 0.069 s
% 23.71/6.05 % (1724488)Peak memory usage: 136 MB
% 23.71/6.05 % (1724488)Instructions burned: 157 (million)
% 23.71/6.05 % (1724490)Instruction limit reached!
% 23.71/6.05 % (1724490)------------------------------
% 23.71/6.05 % (1724490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/6.05 % (1724490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/6.05 % (1724490)CaDiCaL version: 2.1.3
% 23.71/6.05 % (1724490)Termination reason: Instruction limit
% 23.71/6.05 % (1724490)Termination phase: Property scanning
% 23.71/6.05 % (1724490)Time elapsed: 0.109 s
% 23.71/6.05 % (1724490)Peak memory usage: 136 MB
% 23.71/6.05 % (1724490)Instructions burned: 250 (million)
% 23.71/6.05 % (1724495)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2073041041:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 23.71/6.05 % (1724496)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1206676404:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 23.71/6.05 % (1724489)Instruction limit reached!
% 23.71/6.05 % (1724489)------------------------------
% 23.71/6.05 % (1724489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/6.05 % (1724489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/6.05 % (1724489)CaDiCaL version: 2.1.3
% 23.71/6.05 % (1724489)Termination reason: Instruction limit
% 23.71/6.05 % (1724489)Termination phase: Saturation
% 23.71/6.05 % (1724489)Time elapsed: 0.253 s
% 23.71/6.05 % (1724489)Peak memory usage: 142 MB
% 23.71/6.05 % (1724489)Instructions burned: 326 (million)
% 23.71/6.05 % (1724495)Instruction limit reached!
% 23.71/6.05 % (1724495)------------------------------
% 23.71/6.05 % (1724495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/6.05 % (1724495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/6.05 % (1724495)CaDiCaL version: 2.1.3
% 23.71/6.05 % (1724495)Termination reason: Instruction limit
% 23.71/6.05 % (1724495)Termination phase: SInE selection
% 23.71/6.05 % (1724495)Time elapsed: 0.109 s
% 23.71/6.05 % (1724495)Peak memory usage: 137 MB
% 23.71/6.05 % (1724495)Instructions burned: 294 (million)
% 23.71/6.05 % (1724497)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3933172097:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 23.71/6.05 % (1724497)Instruction limit reached!
% 23.71/6.05 % (1724497)------------------------------
% 23.71/6.05 % (1724497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/6.05 % (1724497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/6.05 % (1724497)CaDiCaL version: 2.1.3
% 23.71/6.05 % (1724497)Termination reason: Instruction limit
% 23.71/6.05 % (1724497)Termination phase: SInE selection
% 23.71/6.05 % (1724497)Time elapsed: 0.085 s
% 23.71/6.05 % (1724497)Peak memory usage: 136 MB
% 23.71/6.05 % (1724497)Instructions burned: 113 (million)
% 23.71/6.05 % (1724500)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2183649487:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 23.71/6.05 % (1724502)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2717477437:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2971 on theBenchmark for (2971ds/114Mi)
% 23.71/6.05 % (1724502)Instruction limit reached!
% 23.71/6.05 % (1724502)------------------------------
% 23.71/6.05 % (1724502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724502)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724502)Termination reason: Instruction limit
% 16.21/7.84 % (1724502)Termination phase: Property scanning
% 16.21/7.84 % (1724502)Time elapsed: 0.029 s
% 16.21/7.84 % (1724502)Peak memory usage: 136 MB
% 16.21/7.84 % (1724502)Instructions burned: 118 (million)
% 16.21/7.84 % (1724500)Instruction limit reached!
% 16.21/7.84 % (1724500)------------------------------
% 16.21/7.84 % (1724500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724500)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724500)Termination reason: Instruction limit
% 16.21/7.84 % (1724500)Termination phase: Preprocessing 1
% 16.21/7.84 % (1724500)Time elapsed: 0.098 s
% 16.21/7.84 % (1724500)Peak memory usage: 137 MB
% 16.21/7.84 % (1724500)Instructions burned: 127 (million)
% 16.21/7.84 % (1724503)lrs+10_1_sil=8000:sp=occurrence:random_seed=1043525443:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2970 on theBenchmark for (2970ds/907Mi)
% 16.21/7.84 % (1724506)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1775748223:i=437:sd=1:aac=none:ss=included_2969 on theBenchmark for (2969ds/437Mi)
% 16.21/7.84 % (1724507)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1640723174:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 16.21/7.84 % (1724506)Instruction limit reached!
% 16.21/7.84 % (1724506)------------------------------
% 16.21/7.84 % (1724506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724506)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724506)Termination reason: Instruction limit
% 16.21/7.84 % (1724506)Termination phase: Saturation
% 16.21/7.84 % (1724506)Time elapsed: 0.179 s
% 16.21/7.84 % (1724506)Peak memory usage: 144 MB
% 16.21/7.84 % (1724506)Instructions burned: 439 (million)
% 16.21/7.84 % (1724511)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3938487489:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2966 on theBenchmark for (2966ds/134Mi)
% 16.21/7.84 % (1724511)Instruction limit reached!
% 16.21/7.84 % (1724511)------------------------------
% 16.21/7.84 % (1724511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724511)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724511)Termination reason: Instruction limit
% 16.21/7.84 % (1724511)Termination phase: SInE selection
% 16.21/7.84 % (1724511)Time elapsed: 0.060 s
% 16.21/7.84 % (1724511)Peak memory usage: 136 MB
% 16.21/7.84 % (1724511)Instructions burned: 135 (million)
% 16.21/7.84 % (1724513)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=787775397:st=8:i=592:sd=3:ep=RST:ss=axioms_2964 on theBenchmark for (2964ds/592Mi)
% 16.21/7.84 % (1724503)Instruction limit reached!
% 16.21/7.84 % (1724503)------------------------------
% 16.21/7.84 % (1724503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724503)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724503)Termination reason: Instruction limit
% 16.21/7.84 % (1724503)Termination phase: Property scanning
% 16.21/7.84 % (1724503)Time elapsed: 0.619 s
% 16.21/7.84 % (1724503)Peak memory usage: 158 MB
% 16.21/7.84 % (1724503)Instructions burned: 908 (million)
% 16.21/7.84 % (1724515)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1645646055:st=3:i=13193:sd=3:ss=axioms_2962 on theBenchmark for (2962ds/13193Mi)
% 16.21/7.84 % (1724513)Instruction limit reached!
% 16.21/7.84 % (1724513)------------------------------
% 16.21/7.84 % (1724513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724513)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724513)Termination reason: Instruction limit
% 16.21/7.84 % (1724513)Termination phase: Naming
% 16.21/7.84 % (1724513)Time elapsed: 0.286 s
% 16.21/7.84 % (1724513)Peak memory usage: 153 MB
% 16.21/7.84 % (1724513)Instructions burned: 595 (million)
% 16.21/7.84 % (1724517)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=1351331242:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2959 on theBenchmark for (2959ds/125Mi)
% 16.21/7.84 % (1724517)Instruction limit reached!
% 16.21/7.84 % (1724517)------------------------------
% 16.21/7.84 % (1724517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724517)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724517)Termination reason: Instruction limit
% 16.21/7.84 % (1724517)Termination phase: Property scanning
% 16.21/7.84 % (1724517)Time elapsed: 0.031 s
% 16.21/7.84 % (1724517)Peak memory usage: 136 MB
% 16.21/7.84 % (1724517)Instructions burned: 126 (million)
% 16.21/7.84 % (1724519)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=673813584:i=134:gtgl=5:slsql=off:gtg=exists_sym_2957 on theBenchmark for (2957ds/134Mi)
% 16.21/7.84 % (1724496)Instruction limit reached!
% 16.21/7.84 % (1724496)------------------------------
% 16.21/7.84 % (1724496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724496)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724496)Termination reason: Instruction limit
% 16.21/7.84 % (1724496)Termination phase: Property scanning
% 16.21/7.84 % (1724496)Time elapsed: 1.559 s
% 16.21/7.84 % (1724496)Peak memory usage: 233 MB
% 16.21/7.84 % (1724496)Instructions burned: 2351 (million)
% 16.21/7.84 % (1724519)Instruction limit reached!
% 16.21/7.84 % (1724519)------------------------------
% 16.21/7.84 % (1724519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724519)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724519)Termination reason: Instruction limit
% 16.21/7.84 % (1724519)Termination phase: Property scanning
% 16.21/7.84 % (1724519)Time elapsed: 0.032 s
% 16.21/7.84 % (1724519)Peak memory usage: 136 MB
% 16.21/7.84 % (1724519)Instructions burned: 135 (million)
% 16.21/7.84 % (1724521)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2708156240:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/141Mi)
% 16.21/7.84 % (1724522)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1710779339:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2956 on theBenchmark for (2956ds/431Mi)
% 16.21/7.84 % (1724521)Instruction limit reached!
% 16.21/7.84 % (1724521)------------------------------
% 16.21/7.84 % (1724521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724521)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724521)Termination reason: Instruction limit
% 16.21/7.84 % (1724521)Termination phase: SInE selection
% 16.21/7.84 % (1724521)Time elapsed: 0.064 s
% 16.21/7.84 % (1724521)Peak memory usage: 136 MB
% 16.21/7.84 % (1724521)Instructions burned: 143 (million)
% 16.21/7.84 % (1724525)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=771754098:i=6060:aac=none:ins=25_2954 on theBenchmark for (2954ds/6060Mi)
% 16.21/7.84 % (1724522)Instruction limit reached!
% 16.21/7.84 % (1724522)------------------------------
% 16.21/7.84 % (1724522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724522)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724522)Termination reason: Instruction limit
% 16.21/7.84 % (1724522)Termination phase: Saturation
% 16.21/7.84 % (1724522)Time elapsed: 0.316 s
% 16.21/7.84 % (1724522)Peak memory usage: 144 MB
% 16.21/7.84 % (1724522)Instructions burned: 431 (million)
% 16.21/7.84 % (1724527)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=1997055852:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2951 on theBenchmark for (2951ds/150Mi)
% 16.21/7.84 % (1724527)Instruction limit reached!
% 16.21/7.84 % (1724527)------------------------------
% 16.21/7.84 % (1724527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724527)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724527)Termination reason: Instruction limit
% 16.21/7.84 % (1724527)Termination phase: SInE selection
% 16.21/7.84 % (1724527)Time elapsed: 0.115 s
% 16.21/7.84 % (1724527)Peak memory usage: 136 MB
% 16.21/7.84 % (1724527)Instructions burned: 151 (million)
% 16.21/7.84 % (1724529)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1118678856:i=14155:bd=all_2948 on theBenchmark for (2948ds/14155Mi)
% 16.21/7.84 % (1724515)First to succeed.
% 16.21/7.84 % (1724515)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1724468"
% 16.21/7.84 % (1724525)Instruction limit reached!
% 16.21/7.84 % (1724525)------------------------------
% 16.21/7.84 % (1724525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/7.84 % (1724525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/7.84 % (1724525)CaDiCaL version: 2.1.3
% 16.21/7.84 % (1724525)Termination reason: Instruction limit
% 16.21/7.84 % (1724525)Termination phase: Function definition elimination
% 16.21/7.84 % (1724525)Time elapsed: 2.112 s
% 16.21/7.84 % (1724525)Peak memory usage: 245 MB
% 16.21/7.84 % (1724525)Instructions burned: 6061 (million)
% 16.21/7.84 % (1724515)Refutation found. Thanks to Tanya!
% 16.21/7.84 % SZS status Theorem for theBenchmark
% 16.21/7.84 % SZS output start Proof for theBenchmark
% See solution above
% 36.56/8.09 % (1724515)------------------------------
% 36.56/8.09 % (1724515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.56/8.09 % (1724515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.56/8.09 % (1724515)CaDiCaL version: 2.1.3
% 36.56/8.09 % (1724515)Termination reason: Refutation
% 36.56/8.09 % (1724515)Time elapsed: 2.657 s
% 36.56/8.09 % (1724515)Peak memory usage: 267 MB
% 36.56/8.09 % (1724515)Instructions burned: 4192 (million)
% 36.56/8.09 % (1724515)------------------------------
% 36.56/8.09 % (1724515)------------------------------
% 36.56/8.09 % (1724468)Success in time 6.964 s
% 36.56/8.09 % Vampire exiting
%------------------------------------------------------------------------------