%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT314+3 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:50 AM UTC 2026
% Result : Theorem 19.38s 4.26s
% Output : Refutation 21.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 19
% Syntax : Number of formulae : 168 ( 24 unt; 6 def)
% Number of atoms : 779 ( 76 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 978 ( 367 ~; 453 |; 124 &)
% ( 8 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 6 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 160 ( 0 sgn 154 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8588,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(f8625,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(f8673,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(f9358,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(f9363,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(f9391,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f9463,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(f13537,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(f13548,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(f13569,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(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k20_filter_2) ).
fof(f13602,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(f13638,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(f13641,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(f13642,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)],[f13641]) ).
fof(f13774,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,[],[f13642]) ).
fof(f13775,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,[],[f13774]) ).
fof(f13828,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,[],[f13537]) ).
fof(f13829,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,[],[f13828]) ).
fof(f13838,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,[],[f13638]) ).
fof(f13839,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,[],[f13838]) ).
fof(f13842,plain,
! [X0,X1,X2] :
( m1_subset_1(k20_filter_2(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,[],[f13569]) ).
fof(f13843,plain,
! [X0,X1,X2] :
( m1_subset_1(k20_filter_2(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,[],[f13842]) ).
fof(f14314,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,[],[f8625]) ).
fof(f14315,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,[],[f14314]) ).
fof(f14328,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f14341,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9391]) ).
fof(f14342,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,[],[f14341]) ).
fof(f14344,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,[],[f9363]) ).
fof(f14345,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,[],[f14344]) ).
fof(f14346,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f14347,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14346]) ).
fof(f14350,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,[],[f13602]) ).
fof(f14351,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,[],[f14350]) ).
fof(f14354,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,[],[f13548]) ).
fof(f14355,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,[],[f14354]) ).
fof(f15340,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,[],[f8673]) ).
fof(f15341,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,[],[f15340]) ).
fof(f15342,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8588]) ).
fof(f15343,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f15342]) ).
fof(f16347,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)) )
| ~ sP3(X0) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f16348,plain,
! [X0] :
( sP3(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f14345,f16347]) ).
fof(f16429,plain,
( ~ r1_filter_2(u1_struct_0(sK52),k20_filter_2(sK52,sK53,sK54),k20_filter_2(sK52,sK54,sK53))
& ~ v1_xboole_0(sK54)
& m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52)))
& ~ v1_xboole_0(sK53)
& m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52)))
& ~ v3_struct_0(sK52)
& v10_lattices(sK52)
& l3_lattices(sK52) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52,sK53,sK54]),skolemize(X0,sK52),skolemize(X1,sK53),skolemize(X2,sK54)],[f13775]) ).
fof(f16466,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,[],[f13829]) ).
fof(f16611,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)) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f16347]) ).
fof(f17326,plain,
l3_lattices(sK52),
inference(cnf_transformation,[],[f16429]) ).
fof(f17327,plain,
v10_lattices(sK52),
inference(cnf_transformation,[],[f16429]) ).
fof(f17328,plain,
~ v3_struct_0(sK52),
inference(cnf_transformation,[],[f16429]) ).
fof(f17329,plain,
m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52))),
inference(cnf_transformation,[],[f16429]) ).
fof(f17330,plain,
~ v1_xboole_0(sK53),
inference(cnf_transformation,[],[f16429]) ).
fof(f17331,plain,
m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52))),
inference(cnf_transformation,[],[f16429]) ).
fof(f17332,plain,
~ v1_xboole_0(sK54),
inference(cnf_transformation,[],[f16429]) ).
fof(f17333,plain,
~ r1_filter_2(u1_struct_0(sK52),k20_filter_2(sK52,sK53,sK54),k20_filter_2(sK52,sK54,sK53)),
inference(cnf_transformation,[],[f16429]) ).
fof(f17433,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,[],[f16466]) ).
fof(f17446,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,[],[f13839]) ).
fof(f17448,plain,
! [X2,X0,X1] :
( m1_subset_1(k20_filter_2(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,[],[f13843]) ).
fof(f18035,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,[],[f14315]) ).
fof(f18047,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14328]) ).
fof(f18066,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14342]) ).
fof(f18068,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f16611]) ).
fof(f18077,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP3(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f16348]) ).
fof(f18079,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14347]) ).
fof(f18081,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,[],[f14351]) ).
fof(f18083,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,[],[f14355]) ).
fof(f19627,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,[],[f15341]) ).
fof(f19628,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f15343]) ).
fof(f21567,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,[],[f17433]) ).
fof(f21899,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,[],[f21567]) ).
fof(f22107,plain,
( sK53 = k7_filter_2(sK52,sK53)
| v3_struct_0(sK52)
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52) ),
inference(resolution,[],[f18081,f17329]) ).
fof(f22108,plain,
( sK54 = k7_filter_2(sK52,sK54)
| v3_struct_0(sK52)
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52) ),
inference(resolution,[],[f18081,f17331]) ).
fof(f22110,plain,
( sK54 = k7_filter_2(sK52,sK54)
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52) ),
inference(forward_subsumption_resolution,[],[f22108,f17328]) ).
fof(f22111,plain,
( sK53 = k7_filter_2(sK52,sK53)
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52) ),
inference(forward_subsumption_resolution,[],[f22107,f17328]) ).
fof(f22112,plain,
( sK54 = k7_filter_2(sK52,sK54)
| ~ l3_lattices(sK52) ),
inference(forward_subsumption_resolution,[],[f22110,f17327]) ).
fof(f22113,plain,
( sK53 = k7_filter_2(sK52,sK53)
| ~ l3_lattices(sK52) ),
inference(forward_subsumption_resolution,[],[f22111,f17327]) ).
fof(f22114,plain,
sK54 = k7_filter_2(sK52,sK54),
inference(forward_subsumption_resolution,[],[f22112,f17326]) ).
fof(f22115,plain,
sK53 = k7_filter_2(sK52,sK53),
inference(forward_subsumption_resolution,[],[f22113,f17326]) ).
fof(f22125,plain,
! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X1,X2))
| v1_xboole_0(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(resolution,[],[f21899,f17448]) ).
fof(f22189,plain,
( m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| v3_struct_0(sK52)
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52)
| ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52))) ),
inference(superposition,[],[f18083,f22115]) ).
fof(f22190,plain,
( m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| v3_struct_0(sK52)
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52)
| ~ m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52))) ),
inference(superposition,[],[f18083,f22114]) ).
fof(f22192,plain,
( m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52)
| ~ m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52))) ),
inference(forward_subsumption_resolution,[],[f22190,f17328]) ).
fof(f22193,plain,
( m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52)
| ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52))) ),
inference(forward_subsumption_resolution,[],[f22189,f17328]) ).
fof(f22196,plain,
( m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| ~ l3_lattices(sK52)
| ~ m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52))) ),
inference(forward_subsumption_resolution,[],[f22192,f17327]) ).
fof(f22197,plain,
( m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| ~ l3_lattices(sK52)
| ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52))) ),
inference(forward_subsumption_resolution,[],[f22193,f17327]) ).
fof(f22200,plain,
( m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| ~ m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52))) ),
inference(forward_subsumption_resolution,[],[f22196,f17326]) ).
fof(f22201,plain,
( m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52))) ),
inference(forward_subsumption_resolution,[],[f22197,f17326]) ).
fof(f22202,plain,
m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52)))),
inference(forward_subsumption_resolution,[],[f22200,f17331]) ).
fof(f22203,plain,
m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52)))),
inference(forward_subsumption_resolution,[],[f22201,f17329]) ).
fof(f22204,plain,
! [X2,X0,X1] :
( v1_xboole_0(sK53)
| k20_filter_2(sK52,X0,X1) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),k7_filter_2(sK52,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| v3_struct_0(sK52)
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52) ),
inference(resolution,[],[f22203,f17446]) ).
fof(f22218,definition,
( spl582_18
<=> l3_lattices(k1_lattice2(sK52)) ),
introduced(definition,[new_symbols(definition,[spl582_18])],[avatar_definition]) ).
fof(f22219,plain,
( l3_lattices(k1_lattice2(sK52))
| ~ spl582_18 ),
inference(avatar_component_clause,[],[f22218]) ).
fof(f22220,plain,
( ~ l3_lattices(k1_lattice2(sK52))
| spl582_18 ),
inference(avatar_component_clause,[],[f22218]) ).
fof(f22222,definition,
( spl582_19
<=> v10_lattices(k1_lattice2(sK52)) ),
introduced(definition,[new_symbols(definition,[spl582_19])],[avatar_definition]) ).
fof(f22223,plain,
( v10_lattices(k1_lattice2(sK52))
| ~ spl582_19 ),
inference(avatar_component_clause,[],[f22222]) ).
fof(f22224,plain,
( ~ v10_lattices(k1_lattice2(sK52))
| spl582_19 ),
inference(avatar_component_clause,[],[f22222]) ).
fof(f22226,definition,
( spl582_20
<=> v3_struct_0(k1_lattice2(sK52)) ),
introduced(definition,[new_symbols(definition,[spl582_20])],[avatar_definition]) ).
fof(f22227,plain,
( ~ v3_struct_0(k1_lattice2(sK52))
| spl582_20 ),
inference(avatar_component_clause,[],[f22226]) ).
fof(f22228,plain,
( v3_struct_0(k1_lattice2(sK52))
| ~ spl582_20 ),
inference(avatar_component_clause,[],[f22226]) ).
fof(f22235,plain,
! [X2,X0,X1] :
( k20_filter_2(sK52,X0,X1) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),k7_filter_2(sK52,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| v3_struct_0(sK52)
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52) ),
inference(forward_subsumption_resolution,[],[f22204,f17330]) ).
fof(f22240,plain,
! [X2,X0,X1] :
( k20_filter_2(sK52,X0,X1) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),k7_filter_2(sK52,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52) ),
inference(forward_subsumption_resolution,[],[f22235,f17328]) ).
fof(f22241,plain,
! [X2,X0,X1] :
( k20_filter_2(sK52,X0,X1) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),k7_filter_2(sK52,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| ~ l3_lattices(sK52) ),
inference(forward_subsumption_resolution,[],[f22240,f17327]) ).
fof(f22242,plain,
! [X2,X0,X1] :
( k20_filter_2(sK52,X0,X1) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),k7_filter_2(sK52,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52))) ),
inference(forward_subsumption_resolution,[],[f22241,f17326]) ).
fof(f22244,definition,
( spl582_23
<=> ! [X2] :
( v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52)))) ) ),
introduced(definition,[new_symbols(definition,[spl582_23])],[avatar_definition]) ).
fof(f22245,plain,
( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| v1_xboole_0(X2) )
| ~ spl582_23 ),
inference(avatar_component_clause,[],[f22244]) ).
fof(f22247,definition,
( spl582_24
<=> ! [X0,X1] :
( k20_filter_2(sK52,X0,X1) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),k7_filter_2(sK52,X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl582_24])],[avatar_definition]) ).
fof(f22248,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK52)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(X0)
| k20_filter_2(sK52,X0,X1) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),k7_filter_2(sK52,X1))
| v1_xboole_0(X1) )
| ~ spl582_24 ),
inference(avatar_component_clause,[],[f22247]) ).
fof(f22249,plain,
( spl582_23
| spl582_24 ),
inference(avatar_split_clause,[],[f22242,f22247,f22244]) ).
fof(f22262,plain,
( v1_xboole_0(sK53)
| ~ spl582_23 ),
inference(resolution,[],[f22245,f22203]) ).
fof(f22266,plain,
( $false
| ~ spl582_23 ),
inference(forward_subsumption_resolution,[],[f22262,f17330]) ).
fof(f22267,plain,
~ spl582_23,
inference(avatar_contradiction_clause,[],[f22266]) ).
fof(f22273,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(X0)
| k20_filter_2(sK52,X0,sK53) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),k7_filter_2(sK52,sK53))
| v1_xboole_0(sK53) )
| ~ spl582_24 ),
inference(resolution,[],[f22248,f17329]) ).
fof(f22274,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(X0)
| k20_filter_2(sK52,X0,sK54) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),k7_filter_2(sK52,sK54))
| v1_xboole_0(sK54) )
| ~ spl582_24 ),
inference(resolution,[],[f22248,f17331]) ).
fof(f22275,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(X0)
| k20_filter_2(sK52,X0,sK54) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),k7_filter_2(sK52,sK54)) )
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f22274,f17332]) ).
fof(f22276,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(X0)
| k20_filter_2(sK52,X0,sK53) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),k7_filter_2(sK52,sK53)) )
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f22273,f17330]) ).
fof(f22279,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| k20_filter_2(sK52,X0,sK54) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),sK54)
| v1_xboole_0(X0) )
| ~ spl582_24 ),
inference(forward_demodulation,[],[f22275,f22114]) ).
fof(f22280,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| k20_filter_2(sK52,X0,sK53) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,X0),sK53)
| v1_xboole_0(X0) )
| ~ spl582_24 ),
inference(forward_demodulation,[],[f22276,f22115]) ).
fof(f22289,plain,
( k20_filter_2(sK52,sK54,sK53) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,sK54),sK53)
| v1_xboole_0(sK54)
| ~ spl582_24 ),
inference(resolution,[],[f22280,f17331]) ).
fof(f22290,plain,
( k20_filter_2(sK52,sK54,sK53) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,sK54),sK53)
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f22289,f17332]) ).
fof(f22294,plain,
( k20_filter_2(sK52,sK54,sK53) = k5_filter_0(k1_lattice2(sK52),sK54,sK53)
| ~ spl582_24 ),
inference(forward_demodulation,[],[f22290,f22114]) ).
fof(f22303,plain,
( k20_filter_2(sK52,sK53,sK54) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,sK53),sK54)
| v1_xboole_0(sK53)
| ~ spl582_24 ),
inference(resolution,[],[f22279,f17329]) ).
fof(f22306,plain,
( k20_filter_2(sK52,sK53,sK54) = k5_filter_0(k1_lattice2(sK52),k7_filter_2(sK52,sK53),sK54)
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f22303,f17330]) ).
fof(f22310,plain,
( k20_filter_2(sK52,sK53,sK54) = k5_filter_0(k1_lattice2(sK52),sK53,sK54)
| ~ spl582_24 ),
inference(forward_demodulation,[],[f22306,f22115]) ).
fof(f22341,plain,
( ~ l3_lattices(sK52)
| spl582_18 ),
inference(resolution,[],[f18047,f22220]) ).
fof(f22342,plain,
( $false
| spl582_18 ),
inference(forward_subsumption_resolution,[],[f22341,f17326]) ).
fof(f22343,plain,
spl582_18,
inference(avatar_contradiction_clause,[],[f22342]) ).
fof(f22348,plain,
( v3_struct_0(sK52)
| u1_struct_0(sK52) = u1_struct_0(k1_lattice2(sK52)) ),
inference(resolution,[],[f18066,f17326]) ).
fof(f22356,plain,
u1_struct_0(sK52) = u1_struct_0(k1_lattice2(sK52)),
inference(forward_subsumption_resolution,[],[f22348,f17328]) ).
fof(f22357,plain,
( v3_struct_0(sK52)
| ~ l3_lattices(sK52)
| ~ spl582_20 ),
inference(resolution,[],[f22228,f18079]) ).
fof(f22358,plain,
( ~ l3_lattices(sK52)
| ~ spl582_20 ),
inference(forward_subsumption_resolution,[],[f22357,f17328]) ).
fof(f22359,plain,
( $false
| ~ spl582_20 ),
inference(forward_subsumption_resolution,[],[f22358,f17326]) ).
fof(f22360,plain,
~ spl582_20,
inference(avatar_contradiction_clause,[],[f22359]) ).
fof(f22383,plain,
! [X0] :
( v1_xboole_0(sK54)
| k5_filter_0(k1_lattice2(sK52),X0,sK54) = k5_filter_0(k1_lattice2(sK52),sK54,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| v3_struct_0(k1_lattice2(sK52))
| ~ v10_lattices(k1_lattice2(sK52))
| ~ l3_lattices(k1_lattice2(sK52)) ),
inference(resolution,[],[f18035,f22202]) ).
fof(f22466,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,[],[f19627,f19628]) ).
fof(f22467,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f22466]) ).
fof(f22754,plain,
( ~ sP3(sK52)
| spl582_19 ),
inference(resolution,[],[f18068,f22224]) ).
fof(f23194,plain,
( v3_struct_0(sK52)
| sP3(sK52)
| ~ l3_lattices(sK52) ),
inference(resolution,[],[f18077,f17327]) ).
fof(f23197,plain,
( sP3(sK52)
| ~ l3_lattices(sK52) ),
inference(forward_subsumption_resolution,[],[f23194,f17328]) ).
fof(f23198,plain,
( ~ l3_lattices(sK52)
| spl582_19 ),
inference(forward_subsumption_resolution,[],[f23197,f22754]) ).
fof(f23199,plain,
( $false
| spl582_19 ),
inference(forward_subsumption_resolution,[],[f23198,f17326]) ).
fof(f23200,plain,
spl582_19,
inference(avatar_contradiction_clause,[],[f23199]) ).
fof(f23214,plain,
! [X0] :
( k5_filter_0(k1_lattice2(sK52),X0,sK54) = k5_filter_0(k1_lattice2(sK52),sK54,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| v3_struct_0(k1_lattice2(sK52))
| ~ v10_lattices(k1_lattice2(sK52))
| ~ l3_lattices(k1_lattice2(sK52)) ),
inference(forward_subsumption_resolution,[],[f22383,f17332]) ).
fof(f23248,plain,
( ! [X0] :
( k5_filter_0(k1_lattice2(sK52),X0,sK54) = k5_filter_0(k1_lattice2(sK52),sK54,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| ~ v10_lattices(k1_lattice2(sK52))
| ~ l3_lattices(k1_lattice2(sK52)) )
| spl582_20 ),
inference(forward_subsumption_resolution,[],[f23214,f22227]) ).
fof(f23281,plain,
( ! [X0] :
( k5_filter_0(k1_lattice2(sK52),X0,sK54) = k5_filter_0(k1_lattice2(sK52),sK54,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52))))
| ~ l3_lattices(k1_lattice2(sK52)) )
| ~ spl582_19
| spl582_20 ),
inference(forward_subsumption_resolution,[],[f23248,f22223]) ).
fof(f23305,plain,
( ! [X0] :
( k5_filter_0(k1_lattice2(sK52),X0,sK54) = k5_filter_0(k1_lattice2(sK52),sK54,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK52)))) )
| ~ spl582_18
| ~ spl582_19
| spl582_20 ),
inference(forward_subsumption_resolution,[],[f23281,f22219]) ).
fof(f23325,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK52)))
| k5_filter_0(k1_lattice2(sK52),X0,sK54) = k5_filter_0(k1_lattice2(sK52),sK54,X0)
| v1_xboole_0(X0) )
| ~ spl582_18
| ~ spl582_19
| spl582_20 ),
inference(forward_demodulation,[],[f23305,f22356]) ).
fof(f23343,plain,
( k5_filter_0(k1_lattice2(sK52),sK54,sK53) = k5_filter_0(k1_lattice2(sK52),sK53,sK54)
| v1_xboole_0(sK53)
| ~ spl582_18
| ~ spl582_19
| spl582_20 ),
inference(resolution,[],[f23325,f17329]) ).
fof(f23345,plain,
( k5_filter_0(k1_lattice2(sK52),sK54,sK53) = k5_filter_0(k1_lattice2(sK52),sK53,sK54)
| ~ spl582_18
| ~ spl582_19
| spl582_20 ),
inference(forward_subsumption_resolution,[],[f23343,f17330]) ).
fof(f23350,plain,
( k20_filter_2(sK52,sK53,sK54) = k5_filter_0(k1_lattice2(sK52),sK54,sK53)
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(forward_demodulation,[],[f23345,f22310]) ).
fof(f23362,plain,
( k20_filter_2(sK52,sK53,sK54) = k20_filter_2(sK52,sK54,sK53)
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(superposition,[],[f22294,f23350]) ).
fof(f23364,plain,
( ~ r1_filter_2(u1_struct_0(sK52),k20_filter_2(sK52,sK53,sK54),k20_filter_2(sK52,sK53,sK54))
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(superposition,[],[f17333,f23362]) ).
fof(f23367,plain,
( r1_filter_2(u1_struct_0(sK52),k20_filter_2(sK52,sK53,sK54),k20_filter_2(sK52,sK53,sK54))
| v1_xboole_0(u1_struct_0(sK52))
| v3_struct_0(sK52)
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52)
| v1_xboole_0(sK54)
| ~ m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(sK53)
| ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52)))
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(superposition,[],[f22125,f23362]) ).
fof(f23369,plain,
( r1_filter_2(u1_struct_0(sK52),k20_filter_2(sK52,sK53,sK54),k20_filter_2(sK52,sK53,sK54))
| v3_struct_0(sK52)
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52)
| v1_xboole_0(sK54)
| ~ m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(sK53)
| ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52)))
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f23367,f22467]) ).
fof(f23370,plain,
( v3_struct_0(sK52)
| ~ v10_lattices(sK52)
| ~ l3_lattices(sK52)
| v1_xboole_0(sK54)
| ~ m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(sK53)
| ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52)))
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f23369,f23364]) ).
fof(f23371,plain,
( ~ v10_lattices(sK52)
| ~ l3_lattices(sK52)
| v1_xboole_0(sK54)
| ~ m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(sK53)
| ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52)))
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f23370,f17328]) ).
fof(f23372,plain,
( ~ l3_lattices(sK52)
| v1_xboole_0(sK54)
| ~ m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(sK53)
| ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52)))
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f23371,f17327]) ).
fof(f23373,plain,
( v1_xboole_0(sK54)
| ~ m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(sK53)
| ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52)))
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f23372,f17326]) ).
fof(f23374,plain,
( ~ m1_subset_1(sK54,k1_zfmisc_1(u1_struct_0(sK52)))
| v1_xboole_0(sK53)
| ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52)))
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f23373,f17332]) ).
fof(f23375,plain,
( v1_xboole_0(sK53)
| ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52)))
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f23374,f17331]) ).
fof(f23376,plain,
( ~ m1_subset_1(sK53,k1_zfmisc_1(u1_struct_0(sK52)))
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f23375,f17330]) ).
fof(f23377,plain,
( $false
| ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(forward_subsumption_resolution,[],[f23376,f17329]) ).
fof(f23378,plain,
( ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(avatar_contradiction_clause,[],[f23377]) ).
cnf(s21,plain,
( spl582_23
| spl582_24 ),
inference(sat_conversion,[],[f22249]) ).
cnf(s24,plain,
~ spl582_23,
inference(sat_conversion,[],[f22267]) ).
cnf(s25,plain,
spl582_18,
inference(sat_conversion,[],[f22343]) ).
cnf(s27,plain,
~ spl582_20,
inference(sat_conversion,[],[f22360]) ).
cnf(s46,plain,
spl582_19,
inference(sat_conversion,[],[f23200]) ).
cnf(s48,plain,
( ~ spl582_18
| ~ spl582_19
| spl582_20
| ~ spl582_24 ),
inference(sat_conversion,[],[f23378]) ).
cnf(s53,plain,
~ spl582_24,
inference(rat,[],[s48,s27,s46,s25]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s21,s53,s24]) ).
fof(f23379,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT314+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 % Computer : n005.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Sun Sep 27 14:31:35 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.44 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
% 15.65/3.53 % (4045073)Detected formulas, will run a generic FOF schedule.
% 15.65/3.53 % (4045082)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2675111362:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 15.65/3.53 % (4045081)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4106458515:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 15.65/3.53 % (4045083)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1615707292:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 15.65/3.53 % (4045078)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=968974977:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 15.65/3.53 % (4045079)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=950331231:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 15.65/3.53 % (4045084)dis-21_1_sil=8000:lcm=predicate:random_seed=1681259020:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 15.65/3.53 % (4045080)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=928024232:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 15.65/3.53 % (4045082)Instruction limit reached!
% 15.65/3.53 % (4045082)------------------------------
% 15.65/3.53 % (4045082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.53 % (4045082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.53 % (4045082)CaDiCaL version: 2.1.3
% 15.65/3.53 % (4045082)Termination reason: Instruction limit
% 15.65/3.53 % (4045082)Termination phase: Function definition elimination
% 15.65/3.53 % (4045082)Time elapsed: 0.050 s
% 15.65/3.53 % (4045082)Peak memory usage: 105 MB
% 15.65/3.53 % (4045082)Instructions burned: 122 (million)
% 15.65/3.53 % (4045083)Instruction limit reached!
% 15.65/3.53 % (4045083)------------------------------
% 15.65/3.53 % (4045083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.53 % (4045083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.53 % (4045083)CaDiCaL version: 2.1.3
% 15.65/3.53 % (4045083)Termination reason: Instruction limit
% 15.65/3.53 % (4045083)Termination phase: Property scanning
% 15.65/3.53 % (4045083)Time elapsed: 0.058 s
% 15.65/3.53 % (4045083)Peak memory usage: 102 MB
% 15.65/3.53 % (4045083)Instructions burned: 140 (million)
% 15.65/3.53 % (4045081)Refutation not found, incomplete strategy
% 15.65/3.53 % (4045081)------------------------------
% 15.65/3.53 % (4045081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.53 % (4045081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.53 % (4045081)CaDiCaL version: 2.1.3
% 15.65/3.53 % (4045081)Termination reason: Refutation not found, incomplete strategy
% 15.65/3.53 % (4045081)Time elapsed: 0.077 s
% 15.65/3.53 % (4045081)Peak memory usage: 107 MB
% 15.65/3.53 % (4045081)Instructions burned: 97 (million)
% 15.65/3.53 % (4045084)Instruction limit reached!
% 15.65/3.53 % (4045084)------------------------------
% 15.65/3.53 % (4045084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.53 % (4045084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.53 % (4045084)CaDiCaL version: 2.1.3
% 15.65/3.53 % (4045084)Termination reason: Instruction limit
% 15.65/3.53 % (4045084)Termination phase: Preprocessing 1
% 15.65/3.53 % (4045084)Time elapsed: 0.096 s
% 15.65/3.53 % (4045084)Peak memory usage: 103 MB
% 15.65/3.53 % (4045084)Instructions burned: 129 (million)
% 15.65/3.53 % (4045092)lrs+10_1_sil=8000:sp=occurrence:random_seed=3801685797:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 15.65/3.53 % (4045093)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1467374672:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 15.65/3.53 % (4045094)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3136594588:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 15.65/3.53 % (4045092)Instruction limit reached!
% 15.65/3.53 % (4045092)------------------------------
% 15.65/3.53 % (4045092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.53 % (4045092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.25 % (4045092)CaDiCaL version: 2.1.3
% 19.38/4.25 % (4045092)Termination reason: Instruction limit
% 19.38/4.25 % (4045092)Termination phase: Saturation
% 19.38/4.25 % (4045092)Time elapsed: 0.106 s
% 19.38/4.25 % (4045092)Peak memory usage: 109 MB
% 19.38/4.25 % (4045092)Instructions burned: 286 (million)
% 19.38/4.25 % (4045093)Instruction limit reached!
% 19.38/4.25 % (4045093)------------------------------
% 19.38/4.25 % (4045093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.25 % (4045093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.25 % (4045093)CaDiCaL version: 2.1.3
% 19.38/4.25 % (4045093)Termination reason: Instruction limit
% 19.38/4.25 % (4045093)Termination phase: Property scanning
% 19.38/4.25 % (4045093)Time elapsed: 0.068 s
% 19.38/4.25 % (4045093)Peak memory usage: 102 MB
% 19.38/4.25 % (4045093)Instructions burned: 158 (million)
% 19.38/4.25 % (4045081)------------------------------
% 19.38/4.25 % (4045081)------------------------------
% 19.38/4.25 % (4045098)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=619999321:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 19.38/4.25 % (4045099)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2061135042:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 19.38/4.25 % (4045098)Instruction limit reached!
% 19.38/4.25 % (4045098)------------------------------
% 19.38/4.25 % (4045098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.25 % (4045098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.25 % (4045098)CaDiCaL version: 2.1.3
% 19.38/4.25 % (4045098)Termination reason: Instruction limit
% 19.38/4.25 % (4045098)Termination phase: SInE selection
% 19.38/4.25 % (4045098)Time elapsed: 0.070 s
% 19.38/4.25 % (4045098)Peak memory usage: 103 MB
% 19.38/4.25 % (4045098)Instructions burned: 252 (million)
% 19.38/4.25 % (4045094)Instruction limit reached!
% 19.38/4.25 % (4045094)------------------------------
% 19.38/4.25 % (4045094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.25 % (4045094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.25 % (4045094)CaDiCaL version: 2.1.3
% 19.38/4.25 % (4045094)Termination reason: Instruction limit
% 19.38/4.25 % (4045094)Termination phase: Saturation
% 19.38/4.25 % (4045094)Time elapsed: 0.221 s
% 19.38/4.25 % (4045094)Peak memory usage: 108 MB
% 19.38/4.25 % (4045094)Instructions burned: 326 (million)
% 19.38/4.25 % (4045100)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1054237390:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 19.38/4.25 % (4045103)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3419189306:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 19.38/4.25 % (4045099)Instruction limit reached!
% 19.38/4.25 % (4045099)------------------------------
% 19.38/4.25 % (4045099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.25 % (4045099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.25 % (4045099)CaDiCaL version: 2.1.3
% 19.38/4.25 % (4045099)Termination reason: Instruction limit
% 19.38/4.25 % (4045099)Termination phase: Saturation
% 19.38/4.25 % (4045099)Time elapsed: 0.189 s
% 19.38/4.25 % (4045099)Peak memory usage: 109 MB
% 19.38/4.25 % (4045099)Instructions burned: 294 (million)
% 19.38/4.25 % (4045103)Instruction limit reached!
% 19.38/4.25 % (4045103)------------------------------
% 19.38/4.25 % (4045103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.25 % (4045103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.25 % (4045103)CaDiCaL version: 2.1.3
% 19.38/4.25 % (4045103)Termination reason: Instruction limit
% 19.38/4.25 % (4045103)Termination phase: Preprocessing 3
% 19.38/4.25 % (4045103)Time elapsed: 0.055 s
% 19.38/4.25 % (4045103)Peak memory usage: 105 MB
% 19.38/4.25 % (4045103)Instructions burned: 116 (million)
% 19.38/4.25 % (4045104)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4081688093:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 19.38/4.25 % (4045104)Instruction limit reached!
% 19.38/4.25 % (4045104)------------------------------
% 19.38/4.25 % (4045104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.25 % (4045104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.25 % (4045104)CaDiCaL version: 2.1.3
% 19.38/4.25 % (4045104)Termination reason: Instruction limit
% 19.38/4.25 % (4045104)Termination phase: Preprocessing 2
% 19.38/4.25 % (4045104)Time elapsed: 0.102 s
% 19.38/4.25 % (4045104)Peak memory usage: 106 MB
% 19.38/4.25 % (4045104)Instructions burned: 127 (million)
% 19.38/4.25 % (4045108)lrs+10_1_sil=8000:sp=occurrence:random_seed=2799501256:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 19.38/4.25 % (4045107)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1706845350:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 19.38/4.25 % (4045107)Instruction limit reached!
% 19.38/4.25 % (4045107)------------------------------
% 19.38/4.25 % (4045107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.25 % (4045107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.25 % (4045107)CaDiCaL version: 2.1.3
% 19.38/4.25 % (4045107)Termination reason: Instruction limit
% 19.38/4.25 % (4045107)Termination phase: Property scanning
% 19.38/4.25 % (4045107)Time elapsed: 0.049 s
% 19.38/4.25 % (4045107)Peak memory usage: 102 MB
% 19.38/4.25 % (4045107)Instructions burned: 114 (million)
% 19.38/4.25 % (4045110)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=150261649:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 19.38/4.25 % (4045113)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1138614991:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 19.38/4.25 % (4045108)Instruction limit reached!
% 19.38/4.25 % (4045108)------------------------------
% 19.38/4.25 % (4045108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.25 % (4045108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.25 % (4045108)CaDiCaL version: 2.1.3
% 19.38/4.25 % (4045108)Termination reason: Instruction limit
% 19.38/4.25 % (4045108)Termination phase: Saturation
% 19.38/4.25 % (4045108)Time elapsed: 0.318 s
% 19.38/4.25 % (4045108)Peak memory usage: 121 MB
% 19.38/4.25 % (4045108)Instructions burned: 907 (million)
% 19.38/4.25 % (4045110)Instruction limit reached!
% 19.38/4.25 % (4045110)------------------------------
% 19.38/4.25 % (4045110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.25 % (4045110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.25 % (4045110)CaDiCaL version: 2.1.3
% 19.38/4.25 % (4045110)Termination reason: Instruction limit
% 19.38/4.25 % (4045110)Termination phase: Saturation
% 19.38/4.25 % (4045110)Time elapsed: 0.273 s
% 19.38/4.25 % (4045110)Peak memory usage: 110 MB
% 19.38/4.25 % (4045110)Instructions burned: 438 (million)
% 19.38/4.25 % (4045116)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=640348313:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 19.38/4.25 % (4045116)Instruction limit reached!
% 19.38/4.25 % (4045116)------------------------------
% 19.38/4.25 % (4045116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.25 % (4045116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.25 % (4045116)CaDiCaL version: 2.1.3
% 19.38/4.25 % (4045116)Termination reason: Instruction limit
% 19.38/4.25 % (4045116)Termination phase: Property scanning
% 19.38/4.25 % (4045116)Time elapsed: 0.059 s
% 19.38/4.25 % (4045116)Peak memory usage: 106 MB
% 19.38/4.25 % (4045116)Instructions burned: 140 (million)
% 19.38/4.25 % (4045117)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2743274893:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 19.38/4.25 % (4045119)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2346188739:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 19.38/4.25 % (4045117)Instruction limit reached!
% 19.38/4.25 % (4045117)------------------------------
% 19.38/4.25 % (4045117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.25 % (4045117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.25 % (4045117)CaDiCaL version: 2.1.3
% 19.38/4.25 % (4045117)Termination reason: Instruction limit
% 19.38/4.25 % (4045117)Termination phase: Property scanning
% 19.38/4.25 % (4045117)Time elapsed: 0.390 s
% 19.38/4.25 % (4045117)Peak memory usage: 122 MB
% 19.38/4.25 % (4045117)Instructions burned: 592 (million)
% 19.38/4.25 % (4045122)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=213526042:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 19.38/4.26 % (4045100)Instruction limit reached!
% 19.38/4.26 % (4045100)------------------------------
% 19.38/4.26 % (4045100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.26 % (4045100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.26 % (4045100)CaDiCaL version: 2.1.3
% 19.38/4.26 % (4045100)Termination reason: Instruction limit
% 19.38/4.26 % (4045100)Termination phase: Saturation
% 19.38/4.26 % (4045100)Time elapsed: 1.465 s
% 19.38/4.26 % (4045100)Peak memory usage: 241 MB
% 19.38/4.26 % (4045100)Instructions burned: 2351 (million)
% 19.38/4.26 % (4045122)Instruction limit reached!
% 19.38/4.26 % (4045122)------------------------------
% 19.38/4.26 % (4045122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.26 % (4045122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.26 % (4045122)CaDiCaL version: 2.1.3
% 19.38/4.26 % (4045122)Termination reason: Instruction limit
% 19.38/4.26 % (4045122)Termination phase: Property scanning
% 19.38/4.26 % (4045122)Time elapsed: 0.054 s
% 19.38/4.26 % (4045122)Peak memory usage: 102 MB
% 19.38/4.26 % (4045122)Instructions burned: 126 (million)
% 19.38/4.26 % (4045124)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=651959208:i=134:gtgl=5:slsql=off:gtg=exists_sym_2973 on theBenchmark for (2973ds/134Mi)
% 19.38/4.26 % (4045125)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=833277254:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 19.38/4.26 % (4045124)Instruction limit reached!
% 19.38/4.26 % (4045124)------------------------------
% 19.38/4.26 % (4045124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.26 % (4045124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.26 % (4045124)CaDiCaL version: 2.1.3
% 19.38/4.26 % (4045124)Termination reason: Instruction limit
% 19.38/4.26 % (4045124)Termination phase: Property scanning
% 19.38/4.26 % (4045124)Time elapsed: 0.057 s
% 19.38/4.26 % (4045124)Peak memory usage: 102 MB
% 19.38/4.26 % (4045124)Instructions burned: 135 (million)
% 19.38/4.26 % (4045125)Instruction limit reached!
% 19.38/4.26 % (4045125)------------------------------
% 19.38/4.26 % (4045125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/4.26 % (4045125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/4.26 % (4045125)CaDiCaL version: 2.1.3
% 19.38/4.26 % (4045125)Termination reason: Instruction limit
% 19.38/4.26 % (4045125)Termination phase: Saturation
% 19.38/4.26 % (4045125)Time elapsed: 0.105 s
% 19.38/4.26 % (4045125)Peak memory usage: 107 MB
% 19.38/4.26 % (4045125)Instructions burned: 141 (million)
% 19.38/4.26 % (4045128)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1737370480:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 19.38/4.26 % (4045119)First to succeed.
% 19.38/4.26 % (4045129)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=811775091:i=6060:aac=none:ins=25_2970 on theBenchmark for (2970ds/6060Mi)
% 19.38/4.26 % (4045119)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4045073"
% 19.38/4.26 % (4045119)Refutation found. Thanks to Tanya!
% 19.38/4.26 % SZS status Theorem for theBenchmark
% 19.38/4.26 % SZS output start Proof for theBenchmark
% See solution above
% 21.17/4.46 % (4045119)------------------------------
% 21.17/4.46 % (4045119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.17/4.46 % (4045119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/4.46 % (4045119)CaDiCaL version: 2.1.3
% 21.17/4.46 % (4045119)Termination reason: Refutation
% 21.17/4.46 % (4045119)Time elapsed: 1.051 s
% 21.17/4.46 % (4045119)Peak memory usage: 199 MB
% 21.17/4.46 % (4045119)Instructions burned: 3006 (million)
% 21.17/4.46 % (4045119)------------------------------
% 21.17/4.46 % (4045119)------------------------------
% 21.17/4.46 % (4045073)Success in time 3.374 s
% 21.17/4.46 % Vampire exiting
%------------------------------------------------------------------------------