%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT311+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:48 AM UTC 2026
% Result : Theorem 37.03s 7.90s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 22
% Syntax : Number of formulae : 158 ( 27 unt; 8 def)
% Number of atoms : 649 ( 81 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 794 ( 303 ~; 340 |; 116 &)
% ( 7 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 8 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-2 aty)
% Number of variables : 139 ( 0 sgn 133 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f678,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f21532,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f34616,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f34618,axiom,
! [X0,X1] :
( ( ~ 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))) )
=> k3_filter_2(X0,X1) = k3_filter_0(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_filter_2) ).
fof(f34671,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k5_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_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/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f34691,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_filter_2) ).
fof(f34701,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(k1_lattice2(X0)))) )
=> ( k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) = k19_filter_2(X0,X1)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_filter_2) ).
fof(f34704,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_filter_2) ).
fof(f34705,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f34704]) ).
fof(f34879,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2))
& r2_hidden(X1,X2)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f34705]) ).
fof(f34880,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2))
& r2_hidden(X1,X2)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f34879]) ).
fof(f34888,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f678]) ).
fof(f34889,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f34888]) ).
fof(f34904,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f35017,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34691]) ).
fof(f35018,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35017]) ).
fof(f35027,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) = k19_filter_2(X0,X1)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2)) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(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,[],[f34701]) ).
fof(f35028,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) = k19_filter_2(X0,X1)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2)) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(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,[],[f35027]) ).
fof(f35804,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22852]) ).
fof(f35817,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(f35818,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,[],[f35817]) ).
fof(f35820,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(f35821,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,[],[f35820]) ).
fof(f35822,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(f35823,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35822]) ).
fof(f35824,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f34616]) ).
fof(f35825,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f35824]) ).
fof(f35834,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34671]) ).
fof(f35835,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35834]) ).
fof(f35888,plain,
! [X0,X1] :
( k3_filter_2(X0,X1) = k3_filter_0(X0,X1)
| 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))) ),
inference(ennf_transformation,[],[f34618]) ).
fof(f35889,plain,
! [X0,X1] :
( k3_filter_2(X0,X1) = k3_filter_0(X0,X1)
| 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))) ),
inference(flattening,[],[f35888]) ).
fof(f35894,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(f35895,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,[],[f35894]) ).
fof(f38126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21532]) ).
fof(f38127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f38126]) ).
fof(f38542,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)) )
| ~ sP13(X0) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f38543,plain,
! [X0] :
( sP13(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f35821,f38542]) ).
fof(f38632,plain,
( ~ r1_tarski(k18_filter_2(sK67,sK68),k19_filter_2(sK67,sK69))
& r2_hidden(sK68,sK69)
& ~ v1_xboole_0(sK69)
& m1_subset_1(sK69,k1_zfmisc_1(u1_struct_0(sK67)))
& m1_subset_1(sK68,u1_struct_0(sK67))
& ~ v3_struct_0(sK67)
& v10_lattices(sK67)
& l3_lattices(sK67) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67,sK68,sK69]),skolemize(X0,sK67),skolemize(X1,sK68),skolemize(X2,sK69)],[f34880]) ).
fof(f38962,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)) )
| ~ sP13(X0) ),
inference(nnf_transformation,[],[f38542]) ).
fof(f39746,plain,
l3_lattices(sK67),
inference(cnf_transformation,[],[f38632]) ).
fof(f39747,plain,
v10_lattices(sK67),
inference(cnf_transformation,[],[f38632]) ).
fof(f39748,plain,
~ v3_struct_0(sK67),
inference(cnf_transformation,[],[f38632]) ).
fof(f39749,plain,
m1_subset_1(sK68,u1_struct_0(sK67)),
inference(cnf_transformation,[],[f38632]) ).
fof(f39750,plain,
m1_subset_1(sK69,k1_zfmisc_1(u1_struct_0(sK67))),
inference(cnf_transformation,[],[f38632]) ).
fof(f39751,plain,
~ v1_xboole_0(sK69),
inference(cnf_transformation,[],[f38632]) ).
fof(f39752,plain,
r2_hidden(sK68,sK69),
inference(cnf_transformation,[],[f38632]) ).
fof(f39753,plain,
~ r1_tarski(k18_filter_2(sK67,sK68),k19_filter_2(sK67,sK69)),
inference(cnf_transformation,[],[f38632]) ).
fof(f39765,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f34889]) ).
fof(f39789,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f34904]) ).
fof(f39956,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35018]) ).
fof(f39966,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,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,[],[f35028]) ).
fof(f41134,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35804]) ).
fof(f41153,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f35818]) ).
fof(f41155,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f38962]) ).
fof(f41164,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP13(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38543]) ).
fof(f41166,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35823]) ).
fof(f41167,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k2_filter_0(X0,X1) = k2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f35825]) ).
fof(f41179,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35835]) ).
fof(f41238,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| k3_filter_0(X0,X1) = k3_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f35889]) ).
fof(f41241,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,[],[f35895]) ).
fof(f44367,plain,
! [X2,X0,X1] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f38127]) ).
fof(f46485,plain,
( k18_filter_2(sK67,sK68) = k2_filter_2(k1_lattice2(sK67),k5_filter_2(sK67,sK68))
| v3_struct_0(sK67)
| ~ v10_lattices(sK67)
| ~ l3_lattices(sK67) ),
inference(resolution,[],[f39956,f39749]) ).
fof(f46486,plain,
( k18_filter_2(sK67,sK68) = k2_filter_2(k1_lattice2(sK67),k5_filter_2(sK67,sK68))
| ~ v10_lattices(sK67)
| ~ l3_lattices(sK67) ),
inference(forward_subsumption_resolution,[],[f46485,f39748]) ).
fof(f46487,plain,
( k18_filter_2(sK67,sK68) = k2_filter_2(k1_lattice2(sK67),k5_filter_2(sK67,sK68))
| ~ l3_lattices(sK67) ),
inference(forward_subsumption_resolution,[],[f46486,f39747]) ).
fof(f46488,plain,
k18_filter_2(sK67,sK68) = k2_filter_2(k1_lattice2(sK67),k5_filter_2(sK67,sK68)),
inference(forward_subsumption_resolution,[],[f46487,f39746]) ).
fof(f46506,definition,
( spl755_32
<=> ! [X1] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK67))) ) ),
introduced(definition,[new_symbols(definition,[spl755_32])],[avatar_definition]) ).
fof(f46507,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK67)))
| v1_xboole_0(X1) )
| ~ spl755_32 ),
inference(avatar_component_clause,[],[f46506]) ).
fof(f46512,plain,
( v1_xboole_0(sK69)
| ~ spl755_32 ),
inference(resolution,[],[f46507,f39750]) ).
fof(f46513,plain,
( $false
| ~ spl755_32 ),
inference(forward_subsumption_resolution,[],[f46512,f39751]) ).
fof(f46514,plain,
~ spl755_32,
inference(avatar_contradiction_clause,[],[f46513]) ).
fof(f46628,plain,
( sK69 = k7_filter_2(sK67,sK69)
| v3_struct_0(sK67)
| ~ v10_lattices(sK67)
| ~ l3_lattices(sK67) ),
inference(resolution,[],[f41241,f39750]) ).
fof(f46633,plain,
( sK69 = k7_filter_2(sK67,sK69)
| ~ v10_lattices(sK67)
| ~ l3_lattices(sK67) ),
inference(forward_subsumption_resolution,[],[f46628,f39748]) ).
fof(f46635,plain,
( sK69 = k7_filter_2(sK67,sK69)
| ~ l3_lattices(sK67) ),
inference(forward_subsumption_resolution,[],[f46633,f39747]) ).
fof(f46637,plain,
sK69 = k7_filter_2(sK67,sK69),
inference(forward_subsumption_resolution,[],[f46635,f39746]) ).
fof(f46759,plain,
( v3_struct_0(sK67)
| u1_struct_0(sK67) = u1_struct_0(k1_lattice2(sK67)) ),
inference(resolution,[],[f41153,f39746]) ).
fof(f46761,plain,
u1_struct_0(sK67) = u1_struct_0(k1_lattice2(sK67)),
inference(forward_subsumption_resolution,[],[f46759,f39748]) ).
fof(f46762,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK67)))
| v1_xboole_0(X0)
| k19_filter_2(sK67,X1) = k3_filter_2(k1_lattice2(sK67),k7_filter_2(sK67,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK67)))
| v3_struct_0(sK67)
| ~ v10_lattices(sK67)
| ~ l3_lattices(sK67) ),
inference(superposition,[],[f39966,f46761]) ).
fof(f46768,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK67))
| v3_struct_0(k1_lattice2(sK67))
| ~ v10_lattices(k1_lattice2(sK67))
| ~ l3_lattices(k1_lattice2(sK67))
| k2_filter_0(k1_lattice2(sK67),X0) = k2_filter_2(k1_lattice2(sK67),X0) ),
inference(superposition,[],[f41167,f46761]) ).
fof(f46770,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK67)))
| v3_struct_0(k1_lattice2(sK67))
| ~ v10_lattices(k1_lattice2(sK67))
| ~ l3_lattices(k1_lattice2(sK67))
| v1_xboole_0(X0)
| k3_filter_0(k1_lattice2(sK67),X0) = k3_filter_2(k1_lattice2(sK67),X0) ),
inference(superposition,[],[f41238,f46761]) ).
fof(f46782,definition,
( spl755_44
<=> l3_lattices(k1_lattice2(sK67)) ),
introduced(definition,[new_symbols(definition,[spl755_44])],[avatar_definition]) ).
fof(f46783,plain,
( l3_lattices(k1_lattice2(sK67))
| ~ spl755_44 ),
inference(avatar_component_clause,[],[f46782]) ).
fof(f46784,plain,
( ~ l3_lattices(k1_lattice2(sK67))
| spl755_44 ),
inference(avatar_component_clause,[],[f46782]) ).
fof(f46786,definition,
( spl755_45
<=> v10_lattices(k1_lattice2(sK67)) ),
introduced(definition,[new_symbols(definition,[spl755_45])],[avatar_definition]) ).
fof(f46787,plain,
( v10_lattices(k1_lattice2(sK67))
| ~ spl755_45 ),
inference(avatar_component_clause,[],[f46786]) ).
fof(f46788,plain,
( ~ v10_lattices(k1_lattice2(sK67))
| spl755_45 ),
inference(avatar_component_clause,[],[f46786]) ).
fof(f46790,definition,
( spl755_46
<=> v3_struct_0(k1_lattice2(sK67)) ),
introduced(definition,[new_symbols(definition,[spl755_46])],[avatar_definition]) ).
fof(f46791,plain,
( ~ v3_struct_0(k1_lattice2(sK67))
| spl755_46 ),
inference(avatar_component_clause,[],[f46790]) ).
fof(f46792,plain,
( v3_struct_0(k1_lattice2(sK67))
| ~ spl755_46 ),
inference(avatar_component_clause,[],[f46790]) ).
fof(f46830,definition,
( spl755_56
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK67)))
| k3_filter_0(k1_lattice2(sK67),X0) = k3_filter_2(k1_lattice2(sK67),X0)
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl755_56])],[avatar_definition]) ).
fof(f46831,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK67)))
| k3_filter_0(k1_lattice2(sK67),X0) = k3_filter_2(k1_lattice2(sK67),X0)
| v1_xboole_0(X0) )
| ~ spl755_56 ),
inference(avatar_component_clause,[],[f46830]) ).
fof(f46832,plain,
( ~ spl755_44
| ~ spl755_45
| spl755_46
| spl755_56 ),
inference(avatar_split_clause,[],[f46770,f46830,f46790,f46786,f46782]) ).
fof(f46839,definition,
( spl755_58
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK67))
| k2_filter_0(k1_lattice2(sK67),X0) = k2_filter_2(k1_lattice2(sK67),X0) ) ),
introduced(definition,[new_symbols(definition,[spl755_58])],[avatar_definition]) ).
fof(f46840,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK67))
| k2_filter_0(k1_lattice2(sK67),X0) = k2_filter_2(k1_lattice2(sK67),X0) )
| ~ spl755_58 ),
inference(avatar_component_clause,[],[f46839]) ).
fof(f46841,plain,
( ~ spl755_44
| ~ spl755_45
| spl755_46
| spl755_58 ),
inference(avatar_split_clause,[],[f46768,f46839,f46790,f46786,f46782]) ).
fof(f46862,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK67)))
| v1_xboole_0(X0)
| k19_filter_2(sK67,X1) = k3_filter_2(k1_lattice2(sK67),k7_filter_2(sK67,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK67)))
| ~ v10_lattices(sK67)
| ~ l3_lattices(sK67) ),
inference(forward_subsumption_resolution,[],[f46762,f39748]) ).
fof(f46864,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK67)))
| v1_xboole_0(X0)
| k19_filter_2(sK67,X1) = k3_filter_2(k1_lattice2(sK67),k7_filter_2(sK67,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK67)))
| ~ l3_lattices(sK67) ),
inference(forward_subsumption_resolution,[],[f46862,f39747]) ).
fof(f46865,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK67)))
| v1_xboole_0(X0)
| k19_filter_2(sK67,X1) = k3_filter_2(k1_lattice2(sK67),k7_filter_2(sK67,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK67))) ),
inference(forward_subsumption_resolution,[],[f46864,f39746]) ).
fof(f46867,definition,
( spl755_64
<=> ! [X1] :
( k19_filter_2(sK67,X1) = k3_filter_2(k1_lattice2(sK67),k7_filter_2(sK67,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK67)))
| v1_xboole_0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl755_64])],[avatar_definition]) ).
fof(f46868,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK67)))
| k19_filter_2(sK67,X1) = k3_filter_2(k1_lattice2(sK67),k7_filter_2(sK67,X1))
| v1_xboole_0(X1) )
| ~ spl755_64 ),
inference(avatar_component_clause,[],[f46867]) ).
fof(f46869,plain,
( spl755_64
| spl755_32 ),
inference(avatar_split_clause,[],[f46865,f46506,f46867]) ).
fof(f46870,plain,
( k19_filter_2(sK67,sK69) = k3_filter_2(k1_lattice2(sK67),k7_filter_2(sK67,sK69))
| v1_xboole_0(sK69)
| ~ spl755_64 ),
inference(resolution,[],[f46868,f39750]) ).
fof(f46873,plain,
( k19_filter_2(sK67,sK69) = k3_filter_2(k1_lattice2(sK67),k7_filter_2(sK67,sK69))
| ~ spl755_64 ),
inference(forward_subsumption_resolution,[],[f46870,f39751]) ).
fof(f46875,plain,
( k19_filter_2(sK67,sK69) = k3_filter_2(k1_lattice2(sK67),sK69)
| ~ spl755_64 ),
inference(forward_demodulation,[],[f46873,f46637]) ).
fof(f46877,plain,
( ~ l3_lattices(sK67)
| spl755_44 ),
inference(resolution,[],[f46784,f41134]) ).
fof(f46878,plain,
( $false
| spl755_44 ),
inference(forward_subsumption_resolution,[],[f46877,f39746]) ).
fof(f46879,plain,
spl755_44,
inference(avatar_contradiction_clause,[],[f46878]) ).
fof(f46887,plain,
( v3_struct_0(sK67)
| ~ l3_lattices(sK67)
| ~ spl755_46 ),
inference(resolution,[],[f46792,f41166]) ).
fof(f46888,plain,
( ~ l3_lattices(sK67)
| ~ spl755_46 ),
inference(forward_subsumption_resolution,[],[f46887,f39748]) ).
fof(f46889,plain,
( $false
| ~ spl755_46 ),
inference(forward_subsumption_resolution,[],[f46888,f39746]) ).
fof(f46890,plain,
~ spl755_46,
inference(avatar_contradiction_clause,[],[f46889]) ).
fof(f46891,plain,
( ~ sP13(sK67)
| spl755_45 ),
inference(resolution,[],[f46788,f41155]) ).
fof(f47120,plain,
( v3_struct_0(sK67)
| sP13(sK67)
| ~ l3_lattices(sK67) ),
inference(resolution,[],[f41164,f39747]) ).
fof(f47123,plain,
( sP13(sK67)
| ~ l3_lattices(sK67) ),
inference(forward_subsumption_resolution,[],[f47120,f39748]) ).
fof(f47124,plain,
( ~ l3_lattices(sK67)
| spl755_45 ),
inference(forward_subsumption_resolution,[],[f47123,f46891]) ).
fof(f47125,plain,
( $false
| spl755_45 ),
inference(forward_subsumption_resolution,[],[f47124,f39746]) ).
fof(f47126,plain,
spl755_45,
inference(avatar_contradiction_clause,[],[f47125]) ).
fof(f47143,plain,
( k3_filter_2(k1_lattice2(sK67),sK69) = k3_filter_0(k1_lattice2(sK67),sK69)
| v1_xboole_0(sK69)
| ~ spl755_56 ),
inference(resolution,[],[f46831,f39750]) ).
fof(f47145,plain,
( k3_filter_2(k1_lattice2(sK67),sK69) = k3_filter_0(k1_lattice2(sK67),sK69)
| ~ spl755_56 ),
inference(forward_subsumption_resolution,[],[f47143,f39751]) ).
fof(f47148,plain,
( k19_filter_2(sK67,sK69) = k3_filter_0(k1_lattice2(sK67),sK69)
| ~ spl755_56
| ~ spl755_64 ),
inference(forward_demodulation,[],[f47145,f46875]) ).
fof(f47244,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK67),X0),k19_filter_2(sK67,sK69))
| ~ r2_hidden(X0,sK69)
| v1_xboole_0(sK69)
| ~ m1_subset_1(sK69,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK67))))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK67)))
| v3_struct_0(k1_lattice2(sK67))
| ~ v10_lattices(k1_lattice2(sK67))
| ~ l3_lattices(k1_lattice2(sK67)) )
| ~ spl755_56
| ~ spl755_64 ),
inference(superposition,[],[f44367,f47148]) ).
fof(f47245,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK67),X0),k19_filter_2(sK67,sK69))
| ~ r2_hidden(X0,sK69)
| v1_xboole_0(sK69)
| ~ m1_subset_1(sK69,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK67))))
| v3_struct_0(k1_lattice2(sK67))
| ~ v10_lattices(k1_lattice2(sK67))
| ~ l3_lattices(k1_lattice2(sK67)) )
| ~ spl755_56
| ~ spl755_64 ),
inference(forward_subsumption_resolution,[],[f47244,f39765]) ).
fof(f47248,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK67),X0),k19_filter_2(sK67,sK69))
| ~ r2_hidden(X0,sK69)
| ~ m1_subset_1(sK69,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK67))))
| v3_struct_0(k1_lattice2(sK67))
| ~ v10_lattices(k1_lattice2(sK67))
| ~ l3_lattices(k1_lattice2(sK67)) )
| ~ spl755_56
| ~ spl755_64 ),
inference(forward_subsumption_resolution,[],[f47245,f39789]) ).
fof(f47251,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK67),X0),k19_filter_2(sK67,sK69))
| ~ r2_hidden(X0,sK69)
| ~ m1_subset_1(sK69,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK67))))
| ~ v10_lattices(k1_lattice2(sK67))
| ~ l3_lattices(k1_lattice2(sK67)) )
| spl755_46
| ~ spl755_56
| ~ spl755_64 ),
inference(forward_subsumption_resolution,[],[f47248,f46791]) ).
fof(f47252,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK67),X0),k19_filter_2(sK67,sK69))
| ~ r2_hidden(X0,sK69)
| ~ m1_subset_1(sK69,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK67))))
| ~ l3_lattices(k1_lattice2(sK67)) )
| ~ spl755_45
| spl755_46
| ~ spl755_56
| ~ spl755_64 ),
inference(forward_subsumption_resolution,[],[f47251,f46787]) ).
fof(f47253,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK67),X0),k19_filter_2(sK67,sK69))
| ~ r2_hidden(X0,sK69)
| ~ m1_subset_1(sK69,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK67)))) )
| ~ spl755_44
| ~ spl755_45
| spl755_46
| ~ spl755_56
| ~ spl755_64 ),
inference(forward_subsumption_resolution,[],[f47252,f46783]) ).
fof(f47254,plain,
( ! [X0] :
( ~ m1_subset_1(sK69,k1_zfmisc_1(u1_struct_0(sK67)))
| r1_tarski(k2_filter_0(k1_lattice2(sK67),X0),k19_filter_2(sK67,sK69))
| ~ r2_hidden(X0,sK69) )
| ~ spl755_44
| ~ spl755_45
| spl755_46
| ~ spl755_56
| ~ spl755_64 ),
inference(forward_demodulation,[],[f47253,f46761]) ).
fof(f47255,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK67),X0),k19_filter_2(sK67,sK69))
| ~ r2_hidden(X0,sK69) )
| ~ spl755_44
| ~ spl755_45
| spl755_46
| ~ spl755_56
| ~ spl755_64 ),
inference(forward_subsumption_resolution,[],[f47254,f39750]) ).
fof(f48290,plain,
( k2_filter_0(k1_lattice2(sK67),sK68) = k2_filter_2(k1_lattice2(sK67),sK68)
| ~ spl755_58 ),
inference(resolution,[],[f46840,f39749]) ).
fof(f48872,plain,
( sK68 = k5_filter_2(sK67,sK68)
| v3_struct_0(sK67)
| ~ v10_lattices(sK67)
| ~ l3_lattices(sK67) ),
inference(resolution,[],[f41179,f39749]) ).
fof(f48879,plain,
( sK68 = k5_filter_2(sK67,sK68)
| ~ v10_lattices(sK67)
| ~ l3_lattices(sK67) ),
inference(forward_subsumption_resolution,[],[f48872,f39748]) ).
fof(f48883,plain,
( sK68 = k5_filter_2(sK67,sK68)
| ~ l3_lattices(sK67) ),
inference(forward_subsumption_resolution,[],[f48879,f39747]) ).
fof(f48887,plain,
sK68 = k5_filter_2(sK67,sK68),
inference(forward_subsumption_resolution,[],[f48883,f39746]) ).
fof(f48890,plain,
k18_filter_2(sK67,sK68) = k2_filter_2(k1_lattice2(sK67),sK68),
inference(superposition,[],[f46488,f48887]) ).
fof(f48895,plain,
( k18_filter_2(sK67,sK68) = k2_filter_0(k1_lattice2(sK67),sK68)
| ~ spl755_58 ),
inference(superposition,[],[f48290,f48890]) ).
fof(f48897,plain,
( r1_tarski(k18_filter_2(sK67,sK68),k19_filter_2(sK67,sK69))
| ~ r2_hidden(sK68,sK69)
| ~ spl755_44
| ~ spl755_45
| spl755_46
| ~ spl755_56
| ~ spl755_58
| ~ spl755_64 ),
inference(superposition,[],[f47255,f48895]) ).
fof(f48906,plain,
( ~ r2_hidden(sK68,sK69)
| ~ spl755_44
| ~ spl755_45
| spl755_46
| ~ spl755_56
| ~ spl755_58
| ~ spl755_64 ),
inference(forward_subsumption_resolution,[],[f48897,f39753]) ).
fof(f48911,plain,
( $false
| ~ spl755_44
| ~ spl755_45
| spl755_46
| ~ spl755_56
| ~ spl755_58
| ~ spl755_64 ),
inference(forward_subsumption_resolution,[],[f48906,f39752]) ).
fof(f48912,plain,
( ~ spl755_44
| ~ spl755_45
| spl755_46
| ~ spl755_56
| ~ spl755_58
| ~ spl755_64 ),
inference(avatar_contradiction_clause,[],[f48911]) ).
cnf(s33,plain,
~ spl755_32,
inference(sat_conversion,[],[f46514]) ).
cnf(s49,plain,
( ~ spl755_44
| ~ spl755_45
| spl755_46
| spl755_56 ),
inference(sat_conversion,[],[f46832]) ).
cnf(s51,plain,
( ~ spl755_44
| ~ spl755_45
| spl755_46
| spl755_58 ),
inference(sat_conversion,[],[f46841]) ).
cnf(s59,plain,
( spl755_32
| spl755_64 ),
inference(sat_conversion,[],[f46869]) ).
cnf(s60,plain,
spl755_44,
inference(sat_conversion,[],[f46879]) ).
cnf(s62,plain,
~ spl755_46,
inference(sat_conversion,[],[f46890]) ).
cnf(s67,plain,
spl755_45,
inference(sat_conversion,[],[f47126]) ).
cnf(s140,plain,
( ~ spl755_44
| ~ spl755_45
| spl755_46
| ~ spl755_56
| ~ spl755_58
| ~ spl755_64 ),
inference(sat_conversion,[],[f48912]) ).
cnf(s159,plain,
spl755_58,
inference(rat,[],[s51,s62,s67,s60]) ).
cnf(s162,plain,
spl755_56,
inference(rat,[],[s49,s62,s67,s60]) ).
cnf(s163,plain,
~ spl755_64,
inference(rat,[],[s140,s159,s60,s62,s67,s162]) ).
cnf(s164,plain,
spl755_32,
inference(rat,[],[s59,s163]) ).
cnf(s174,plain,
$false,
inference(rat,[],[s33,s164]) ).
fof(f48931,plain,
$false,
inference(avatar_sat_refutation,[],[s174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT311+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 14:33:55 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.23/4.91 % (2702503)Detected formulas, will run a generic FOF schedule.
% 14.23/4.91 % (2702512)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3991487356:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 14.23/4.91 % (2702510)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=590239265:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 14.23/4.91 % (2702511)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1717890331:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 14.23/4.91 % (2702508)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=2367132535:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 14.23/4.91 % (2702509)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=1607378523:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 14.23/4.91 % (2702512)Instruction limit reached!
% 14.23/4.91 % (2702512)------------------------------
% 14.23/4.91 % (2702512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/4.91 % (2702512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/4.91 % (2702512)CaDiCaL version: 2.1.3
% 14.23/4.91 % (2702512)Termination reason: Instruction limit
% 14.23/4.91 % (2702512)Termination phase: SInE selection
% 14.23/4.91 % (2702512)Time elapsed: 0.053 s
% 14.23/4.91 % (2702512)Peak memory usage: 136 MB
% 14.23/4.91 % (2702512)Instructions burned: 122 (million)
% 14.23/4.91 % (2702514)dis-21_1_sil=8000:lcm=predicate:random_seed=3922641281: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)
% 14.23/4.91 % (2702513)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1191418418:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 14.23/4.91 % (2702513)Instruction limit reached!
% 14.23/4.91 % (2702513)------------------------------
% 14.23/4.91 % (2702513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/4.91 % (2702513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/4.91 % (2702513)CaDiCaL version: 2.1.3
% 14.23/4.91 % (2702513)Termination reason: Instruction limit
% 14.23/4.91 % (2702513)Termination phase: Property scanning
% 14.23/4.91 % (2702513)Time elapsed: 0.062 s
% 14.23/4.91 % (2702513)Peak memory usage: 136 MB
% 14.23/4.91 % (2702513)Instructions burned: 140 (million)
% 14.23/4.91 % (2702511)Instruction limit reached!
% 14.23/4.91 % (2702511)------------------------------
% 14.23/4.91 % (2702511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/4.91 % (2702511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/4.91 % (2702511)CaDiCaL version: 2.1.3
% 14.23/4.91 % (2702511)Termination reason: Instruction limit
% 14.23/4.91 % (2702511)Termination phase: SInE selection
% 14.23/4.91 % (2702511)Time elapsed: 0.082 s
% 14.23/4.91 % (2702511)Peak memory usage: 136 MB
% 14.23/4.91 % (2702511)Instructions burned: 110 (million)
% 14.23/4.91 % (2702514)Instruction limit reached!
% 14.23/4.91 % (2702514)------------------------------
% 14.23/4.91 % (2702514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/4.91 % (2702514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/4.91 % (2702514)CaDiCaL version: 2.1.3
% 14.23/4.91 % (2702514)Termination reason: Instruction limit
% 14.23/4.91 % (2702514)Termination phase: SInE selection
% 14.23/4.91 % (2702514)Time elapsed: 0.095 s
% 14.23/4.91 % (2702514)Peak memory usage: 136 MB
% 14.23/4.91 % (2702514)Instructions burned: 130 (million)
% 14.23/4.91 % (2702520)lrs+10_1_sil=8000:sp=occurrence:random_seed=1621179209:i=285:sd=3:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/285Mi)
% 14.23/4.91 % (2702524)lrs+1011_1_sil=32000:sp=occurrence:random_seed=842113414:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 14.23/4.91 % (2702523)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2722927127:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 14.23/4.91 % (2702525)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=1239931147:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 14.23/4.91 % (2702523)Instruction limit reached!
% 19.75/5.58 % (2702523)------------------------------
% 19.75/5.58 % (2702523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.75/5.58 % (2702523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.75/5.58 % (2702523)CaDiCaL version: 2.1.3
% 19.75/5.58 % (2702523)Termination reason: Instruction limit
% 19.75/5.58 % (2702523)Termination phase: Property scanning
% 19.75/5.58 % (2702523)Time elapsed: 0.071 s
% 19.75/5.58 % (2702523)Peak memory usage: 136 MB
% 19.75/5.58 % (2702523)Instructions burned: 158 (million)
% 19.75/5.58 % (2702520)Instruction limit reached!
% 19.75/5.58 % (2702520)------------------------------
% 19.75/5.58 % (2702520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.75/5.58 % (2702520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.75/5.58 % (2702520)CaDiCaL version: 2.1.3
% 19.75/5.58 % (2702520)Termination reason: Instruction limit
% 19.75/5.58 % (2702520)Termination phase: Saturation
% 19.75/5.58 % (2702520)Time elapsed: 0.139 s
% 19.75/5.58 % (2702520)Peak memory usage: 141 MB
% 19.75/5.58 % (2702520)Instructions burned: 286 (million)
% 19.75/5.58 % (2702525)Instruction limit reached!
% 19.75/5.58 % (2702525)------------------------------
% 19.75/5.58 % (2702525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.75/5.58 % (2702525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.75/5.58 % (2702525)CaDiCaL version: 2.1.3
% 19.75/5.58 % (2702525)Termination reason: Instruction limit
% 19.75/5.58 % (2702525)Termination phase: Property scanning
% 19.75/5.58 % (2702525)Time elapsed: 0.107 s
% 19.75/5.58 % (2702525)Peak memory usage: 136 MB
% 19.75/5.58 % (2702525)Instructions burned: 248 (million)
% 19.75/5.58 % (2702531)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=51838448:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 19.75/5.58 % (2702530)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1780357458:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 19.75/5.58 % (2702524)Instruction limit reached!
% 19.75/5.58 % (2702524)------------------------------
% 19.75/5.58 % (2702524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.75/5.58 % (2702524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.75/5.58 % (2702524)CaDiCaL version: 2.1.3
% 19.75/5.58 % (2702524)Termination reason: Instruction limit
% 19.75/5.58 % (2702524)Termination phase: Saturation
% 19.75/5.58 % (2702524)Time elapsed: 0.257 s
% 19.75/5.58 % (2702524)Peak memory usage: 142 MB
% 19.75/5.58 % (2702524)Instructions burned: 326 (million)
% 19.75/5.58 % (2702532)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3578185449:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 19.75/5.58 % (2702532)Instruction limit reached!
% 19.75/5.58 % (2702532)------------------------------
% 19.75/5.58 % (2702532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.75/5.58 % (2702532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.75/5.58 % (2702532)CaDiCaL version: 2.1.3
% 19.75/5.58 % (2702532)Termination reason: Instruction limit
% 19.75/5.58 % (2702532)Termination phase: SInE selection
% 19.75/5.58 % (2702532)Time elapsed: 0.087 s
% 19.75/5.58 % (2702532)Peak memory usage: 136 MB
% 19.75/5.58 % (2702532)Instructions burned: 115 (million)
% 19.75/5.58 % (2702530)Instruction limit reached!
% 19.75/5.58 % (2702530)------------------------------
% 19.75/5.58 % (2702530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.75/5.58 % (2702530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.75/5.58 % (2702530)CaDiCaL version: 2.1.3
% 19.75/5.58 % (2702530)Termination reason: Instruction limit
% 19.75/5.58 % (2702530)Termination phase: SInE selection
% 19.75/5.58 % (2702530)Time elapsed: 0.190 s
% 19.75/5.58 % (2702530)Peak memory usage: 137 MB
% 19.75/5.58 % (2702530)Instructions burned: 295 (million)
% 19.75/5.58 % (2702535)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1618685804:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 19.75/5.58 % (2702535)Instruction limit reached!
% 19.75/5.58 % (2702535)------------------------------
% 19.75/5.58 % (2702535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.75/5.58 % (2702535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.75/5.58 % (2702535)CaDiCaL version: 2.1.3
% 19.75/5.58 % (2702535)Termination reason: Instruction limit
% 36.40/7.90 % (2702535)Termination phase: Preprocessing 1
% 36.40/7.90 % (2702535)Time elapsed: 0.099 s
% 36.40/7.90 % (2702535)Peak memory usage: 137 MB
% 36.40/7.90 % (2702535)Instructions burned: 128 (million)
% 36.40/7.90 % (2702537)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2698861040:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2969 on theBenchmark for (2969ds/114Mi)
% 36.40/7.90 % (2702538)lrs+10_1_sil=8000:sp=occurrence:random_seed=747819686:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2969 on theBenchmark for (2969ds/907Mi)
% 36.40/7.90 % (2702537)Instruction limit reached!
% 36.40/7.90 % (2702537)------------------------------
% 36.40/7.90 % (2702537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.40/7.90 % (2702537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.40/7.90 % (2702537)CaDiCaL version: 2.1.3
% 36.40/7.90 % (2702537)Termination reason: Instruction limit
% 36.40/7.90 % (2702537)Termination phase: Property scanning
% 36.40/7.90 % (2702537)Time elapsed: 0.051 s
% 36.40/7.90 % (2702537)Peak memory usage: 136 MB
% 36.40/7.90 % (2702537)Instructions burned: 116 (million)
% 37.03/7.90 % (2702541)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1514829255:i=437:sd=1:aac=none:ss=included_2968 on theBenchmark for (2968ds/437Mi)
% 37.03/7.90 % (2702543)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1908224570:i=5202:ss=axioms:sgt=16_2967 on theBenchmark for (2967ds/5202Mi)
% 37.03/7.90 % (2702541)Instruction limit reached!
% 37.03/7.90 % (2702541)------------------------------
% 37.03/7.90 % (2702541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.03/7.90 % (2702541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.03/7.90 % (2702541)CaDiCaL version: 2.1.3
% 37.03/7.90 % (2702541)Termination reason: Instruction limit
% 37.03/7.90 % (2702541)Termination phase: Saturation
% 37.03/7.90 % (2702541)Time elapsed: 0.304 s
% 37.03/7.90 % (2702541)Peak memory usage: 144 MB
% 37.03/7.90 % (2702541)Instructions burned: 437 (million)
% 37.03/7.90 % (2702531)Instruction limit reached!
% 37.03/7.90 % (2702531)------------------------------
% 37.03/7.90 % (2702531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.03/7.90 % (2702531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.03/7.90 % (2702531)CaDiCaL version: 2.1.3
% 37.03/7.90 % (2702531)Termination reason: Instruction limit
% 37.03/7.90 % (2702531)Termination phase: Property scanning
% 37.03/7.90 % (2702531)Time elapsed: 0.868 s
% 37.03/7.90 % (2702531)Peak memory usage: 233 MB
% 37.03/7.90 % (2702531)Instructions burned: 2354 (million)
% 37.03/7.90 % (2702538)Instruction limit reached!
% 37.03/7.90 % (2702538)------------------------------
% 37.03/7.90 % (2702538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.03/7.90 % (2702538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.03/7.90 % (2702538)CaDiCaL version: 2.1.3
% 37.03/7.90 % (2702538)Termination reason: Instruction limit
% 37.03/7.90 % (2702538)Termination phase: Property scanning
% 37.03/7.90 % (2702538)Time elapsed: 0.595 s
% 37.03/7.90 % (2702538)Peak memory usage: 157 MB
% 37.03/7.90 % (2702538)Instructions burned: 907 (million)
% 37.03/7.90 % (2702547)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2884072484:st=8:i=592:sd=3:ep=RST:ss=axioms_2963 on theBenchmark for (2963ds/592Mi)
% 37.03/7.90 % (2702546)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2582556675:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2963 on theBenchmark for (2963ds/134Mi)
% 37.03/7.90 % (2702546)Instruction limit reached!
% 37.03/7.90 % (2702546)------------------------------
% 37.03/7.90 % (2702546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.03/7.90 % (2702546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.03/7.90 % (2702546)CaDiCaL version: 2.1.3
% 37.03/7.90 % (2702546)Termination reason: Instruction limit
% 37.03/7.90 % (2702546)Termination phase: SInE selection
% 37.03/7.90 % (2702546)Time elapsed: 0.104 s
% 37.03/7.90 % (2702546)Peak memory usage: 136 MB
% 37.03/7.90 % (2702546)Instructions burned: 135 (million)
% 37.03/7.90 % (2702550)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=516310007:st=3:i=13193:sd=3:ss=axioms_2962 on theBenchmark for (2962ds/13193Mi)
% 37.03/7.90 % (2702551)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=3836940703:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/125Mi)
% 37.03/7.90 % (2702547)Instruction limit reached!
% 37.03/7.90 % (2702547)------------------------------
% 37.03/7.90 % (2702547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.03/7.90 % (2702547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.03/7.90 % (2702547)CaDiCaL version: 2.1.3
% 37.03/7.90 % (2702547)Termination reason: Instruction limit
% 37.03/7.90 % (2702547)Termination phase: Naming
% 37.03/7.90 % (2702547)Time elapsed: 0.276 s
% 37.03/7.90 % (2702547)Peak memory usage: 155 MB
% 37.03/7.90 % (2702547)Instructions burned: 594 (million)
% 37.03/7.90 % (2702551)Instruction limit reached!
% 37.03/7.90 % (2702551)------------------------------
% 37.03/7.90 % (2702551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.03/7.90 % (2702551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.03/7.90 % (2702551)CaDiCaL version: 2.1.3
% 37.03/7.90 % (2702551)Termination reason: Instruction limit
% 37.03/7.90 % (2702551)Termination phase: Property scanning
% 37.03/7.90 % (2702551)Time elapsed: 0.056 s
% 37.03/7.90 % (2702551)Peak memory usage: 136 MB
% 37.03/7.90 % (2702551)Instructions burned: 126 (million)
% 37.03/7.90 % (2702554)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3887354627:i=134:gtgl=5:slsql=off:gtg=exists_sym_2959 on theBenchmark for (2959ds/134Mi)
% 37.03/7.90 % (2702554)Instruction limit reached!
% 37.03/7.90 % (2702554)------------------------------
% 37.03/7.90 % (2702554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.03/7.90 % (2702554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.03/7.90 % (2702554)CaDiCaL version: 2.1.3
% 37.03/7.90 % (2702554)Termination reason: Instruction limit
% 37.03/7.90 % (2702554)Termination phase: Property scanning
% 37.03/7.90 % (2702554)Time elapsed: 0.033 s
% 37.03/7.90 % (2702554)Peak memory usage: 136 MB
% 37.03/7.90 % (2702554)Instructions burned: 135 (million)
% 37.03/7.90 % (2702555)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2013863562:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/141Mi)
% 37.03/7.90 % (2702557)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=723400353:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2957 on theBenchmark for (2957ds/431Mi)
% 37.03/7.90 % (2702555)Instruction limit reached!
% 37.03/7.90 % (2702555)------------------------------
% 37.03/7.90 % (2702555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.03/7.90 % (2702555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.03/7.90 % (2702555)CaDiCaL version: 2.1.3
% 37.03/7.90 % (2702555)Termination reason: Instruction limit
% 37.03/7.90 % (2702555)Termination phase: SInE selection
% 37.03/7.90 % (2702555)Time elapsed: 0.109 s
% 37.03/7.90 % (2702555)Peak memory usage: 136 MB
% 37.03/7.90 % (2702555)Instructions burned: 141 (million)
% 37.03/7.90 % (2702557)Instruction limit reached!
% 37.03/7.90 % (2702557)------------------------------
% 37.03/7.90 % (2702557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.03/7.90 % (2702557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.03/7.90 % (2702557)CaDiCaL version: 2.1.3
% 37.03/7.90 % (2702557)Termination reason: Instruction limit
% 37.03/7.90 % (2702557)Termination phase: Saturation
% 37.03/7.90 % (2702557)Time elapsed: 0.181 s
% 37.03/7.90 % (2702557)Peak memory usage: 144 MB
% 37.03/7.90 % (2702557)Instructions burned: 432 (million)
% 37.03/7.90 % (2702560)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=1448602257:i=6060:aac=none:ins=25_2955 on theBenchmark for (2955ds/6060Mi)
% 37.03/7.90 % (2702561)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=4018130065:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2954 on theBenchmark for (2954ds/150Mi)
% 37.03/7.90 % (2702561)Instruction limit reached!
% 37.03/7.90 % (2702561)------------------------------
% 37.03/7.90 % (2702561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.03/7.90 % (2702561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.03/7.90 % (2702561)CaDiCaL version: 2.1.3
% 37.03/7.90 % (2702561)Termination reason: Instruction limit
% 37.03/7.90 % (2702561)Termination phase: SInE selection
% 37.03/7.90 % (2702561)Time elapsed: 0.067 s
% 37.03/7.90 % (2702561)Peak memory usage: 136 MB
% 37.03/7.90 % (2702561)Instructions burned: 151 (million)
% 37.03/7.90 % (2702564)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1506050386:i=14155:bd=all_2952 on theBenchmark for (2952ds/14155Mi)
% 37.03/7.90 % (2702550)First to succeed.
% 37.03/7.90 % (2702550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2702503"
% 37.03/7.90 % (2702550)Refutation found. Thanks to Tanya!
% 37.03/7.90 % SZS status Theorem for theBenchmark
% 37.03/7.90 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/8.13 % (2702550)------------------------------
% 0.16/8.13 % (2702550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/8.13 % (2702550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/8.13 % (2702550)CaDiCaL version: 2.1.3
% 0.16/8.13 % (2702550)Termination reason: Refutation
% 0.16/8.13 % (2702550)Time elapsed: 2.724 s
% 0.16/8.13 % (2702550)Peak memory usage: 266 MB
% 0.16/8.13 % (2702550)Instructions burned: 4258 (million)
% 0.16/8.13 % (2702550)------------------------------
% 0.16/8.13 % (2702550)------------------------------
% 0.16/8.13 % (2702503)Success in time 7.057 s
% 0.16/8.13 % Vampire exiting
%------------------------------------------------------------------------------