%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT312+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 11:46:49 AM UTC 2026
% Result : Theorem 27.24s 10.63s
% Output : Refutation 55.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 34
% Syntax : Number of formulae : 245 ( 37 unt; 12 def)
% Number of atoms : 1082 ( 136 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1350 ( 513 ~; 616 |; 160 &)
% ( 17 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 12 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-3 aty)
% Number of variables : 244 ( 1 sgn 235 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f2300,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_domain_1) ).
fof(f21515,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f21533,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))) )
=> ( X2 = k6_domain_1(u1_struct_0(X0),X1)
=> k3_filter_0(X0,X2) = k2_filter_0(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_filter_0) ).
fof(f21600,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f22747,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/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(f31985,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f34608,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f34612,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
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(f34643,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))) )
=> m2_filter_2(k19_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k19_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(f34699,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] :
( m2_filter_2(X2,X0)
=> ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( m2_filter_2(X3,X0)
=> ( r1_tarski(X1,X3)
=> r1_tarski(X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_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(f34702,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_filter_2) ).
fof(f34705,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))) )
=> ( r1_filter_2(u1_struct_0(X0),X2,k6_domain_1(u1_struct_0(X0),X1))
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X2),k18_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_filter_2) ).
fof(f34706,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))) )
=> ( r1_filter_2(u1_struct_0(X0),X2,k6_domain_1(u1_struct_0(X0),X1))
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X2),k18_filter_2(X0,X1)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f34705]) ).
fof(f34711,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f35044,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X2),k18_filter_2(X0,X1))
& r1_filter_2(u1_struct_0(X0),X2,k6_domain_1(u1_struct_0(X0),X1))
& ~ 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,[],[f34706]) ).
fof(f35045,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X2),k18_filter_2(X0,X1))
& r1_filter_2(u1_struct_0(X0),X2,k6_domain_1(u1_struct_0(X0),X1))
& ~ 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,[],[f35044]) ).
fof(f35112,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f2300]) ).
fof(f35113,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f35112]) ).
fof(f35114,plain,
! [X0] :
( ! [X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34702]) ).
fof(f35115,plain,
! [X0] :
( ! [X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35114]) ).
fof(f35121,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f34612]) ).
fof(f35122,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,[],[f35121]) ).
fof(f35133,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(f35134,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,[],[f35133]) ).
fof(f35141,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(f35142,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,[],[f35141]) ).
fof(f35145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) ) )
| ~ m2_filter_2(X2,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,[],[f34699]) ).
fof(f35146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) ) )
| ~ m2_filter_2(X2,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,[],[f35145]) ).
fof(f35147,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),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))) ),
inference(ennf_transformation,[],[f34643]) ).
fof(f35148,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),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))) ),
inference(flattening,[],[f35147]) ).
fof(f36616,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21600]) ).
fof(f36617,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,[],[f36616]) ).
fof(f36618,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21515]) ).
fof(f36619,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36618]) ).
fof(f37031,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34608]) ).
fof(f37032,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f37031]) ).
fof(f37165,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22852]) ).
fof(f37178,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(f37179,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,[],[f37178]) ).
fof(f37181,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(f37182,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,[],[f37181]) ).
fof(f37183,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(f37184,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f37183]) ).
fof(f37185,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(f37186,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,[],[f37185]) ).
fof(f37195,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(f37196,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,[],[f37195]) ).
fof(f37223,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(f37224,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,[],[f37223]) ).
fof(f37229,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(f37230,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,[],[f37229]) ).
fof(f43953,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_filter_0(X0,X2) = k2_filter_0(X0,X1)
| k6_domain_1(u1_struct_0(X0),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,[],[f21533]) ).
fof(f43954,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_filter_0(X0,X2) = k2_filter_0(X0,X1)
| k6_domain_1(u1_struct_0(X0),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,[],[f43953]) ).
fof(f44869,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31985]) ).
fof(f44870,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f44869]) ).
fof(f45218,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)) )
| ~ sP35(X0) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f45219,plain,
! [X0] :
( sP35(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f37182,f45218]) ).
fof(f45575,plain,
( ~ r1_filter_2(u1_struct_0(sK279),k19_filter_2(sK279,sK281),k18_filter_2(sK279,sK280))
& r1_filter_2(u1_struct_0(sK279),sK281,k6_domain_1(u1_struct_0(sK279),sK280))
& ~ v1_xboole_0(sK281)
& m1_subset_1(sK281,k1_zfmisc_1(u1_struct_0(sK279)))
& m1_subset_1(sK280,u1_struct_0(sK279))
& ~ v3_struct_0(sK279)
& v10_lattices(sK279)
& l3_lattices(sK279) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK279,sK280,sK281]),skolemize(X0,sK279),skolemize(X1,sK280),skolemize(X2,sK281)],[f35045]) ).
fof(f45622,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,[],[f35122]) ).
fof(f45624,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f35146]) ).
fof(f45625,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,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,[],[f45624]) ).
fof(f45626,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,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(rectify,[],[f45625]) ).
fof(f45627,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ( ~ r1_tarski(X2,sK307(X0,X1,X2))
& r1_tarski(X1,sK307(X0,X1,X2))
& m2_filter_2(sK307(X0,X1,X2),X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK307]),skolemize(X3,sK307(X0,X1,X2))],[f45626]) ).
fof(f46202,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)) )
| ~ sP35(X0) ),
inference(nnf_transformation,[],[f45218]) ).
fof(f48741,plain,
l3_lattices(sK279),
inference(cnf_transformation,[],[f45575]) ).
fof(f48742,plain,
v10_lattices(sK279),
inference(cnf_transformation,[],[f45575]) ).
fof(f48743,plain,
~ v3_struct_0(sK279),
inference(cnf_transformation,[],[f45575]) ).
fof(f48744,plain,
m1_subset_1(sK280,u1_struct_0(sK279)),
inference(cnf_transformation,[],[f45575]) ).
fof(f48745,plain,
m1_subset_1(sK281,k1_zfmisc_1(u1_struct_0(sK279))),
inference(cnf_transformation,[],[f45575]) ).
fof(f48746,plain,
~ v1_xboole_0(sK281),
inference(cnf_transformation,[],[f45575]) ).
fof(f48747,plain,
r1_filter_2(u1_struct_0(sK279),sK281,k6_domain_1(u1_struct_0(sK279),sK280)),
inference(cnf_transformation,[],[f45575]) ).
fof(f48748,plain,
~ r1_filter_2(u1_struct_0(sK279),k19_filter_2(sK279,sK281),k18_filter_2(sK279,sK280)),
inference(cnf_transformation,[],[f45575]) ).
fof(f48844,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f35113]) ).
fof(f48846,plain,
! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35115]) ).
fof(f48859,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,[],[f45622]) ).
fof(f48869,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,[],[f35134]) ).
fof(f48878,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,[],[f35142]) ).
fof(f48884,plain,
! [X2,X0,X1] :
( r1_tarski(X1,sK307(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| k19_filter_2(X0,X1) = X2
| ~ m2_filter_2(X2,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,[],[f45627]) ).
fof(f48885,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,sK307(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| k19_filter_2(X0,X1) = X2
| ~ m2_filter_2(X2,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,[],[f45627]) ).
fof(f48886,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)
| m2_filter_2(k19_filter_2(X0,X1),X0) ),
inference(cnf_transformation,[],[f35148]) ).
fof(f49254,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f34711]) ).
fof(f51105,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,[],[f36617]) ).
fof(f51106,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f36619]) ).
fof(f51484,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37032]) ).
fof(f51485,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37032]) ).
fof(f51603,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37165]) ).
fof(f51622,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f37179]) ).
fof(f51624,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP35(X0) ),
inference(cnf_transformation,[],[f46202]) ).
fof(f51633,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP35(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f45219]) ).
fof(f51635,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37184]) ).
fof(f51636,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,[],[f37186]) ).
fof(f51648,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,[],[f37196]) ).
fof(f51667,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,[],[f37224]) ).
fof(f51670,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,[],[f37230]) ).
fof(f61863,plain,
! [X2,X0,X1] :
( k2_filter_0(X0,X1) = k3_filter_0(X0,X2)
| k6_domain_1(u1_struct_0(X0),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,[],[f43954]) ).
fof(f62905,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f44870]) ).
fof(f66230,plain,
! [X0,X1] :
( ~ m1_subset_1(k6_domain_1(u1_struct_0(X0),X1),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k6_domain_1(u1_struct_0(X0),X1))
| k2_filter_0(X0,X1) = k3_filter_0(X0,k6_domain_1(u1_struct_0(X0),X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f61863]) ).
fof(f69047,definition,
( spl2150_49
<=> m1_subset_1(k6_domain_1(u1_struct_0(sK279),sK280),k1_zfmisc_1(u1_struct_0(sK279))) ),
introduced(definition,[new_symbols(definition,[spl2150_49])],[avatar_definition]) ).
fof(f69048,plain,
( m1_subset_1(k6_domain_1(u1_struct_0(sK279),sK280),k1_zfmisc_1(u1_struct_0(sK279)))
| ~ spl2150_49 ),
inference(avatar_component_clause,[],[f69047]) ).
fof(f69049,plain,
( ~ m1_subset_1(k6_domain_1(u1_struct_0(sK279),sK280),k1_zfmisc_1(u1_struct_0(sK279)))
| spl2150_49 ),
inference(avatar_component_clause,[],[f69047]) ).
fof(f69051,definition,
( spl2150_50
<=> v1_xboole_0(u1_struct_0(sK279)) ),
introduced(definition,[new_symbols(definition,[spl2150_50])],[avatar_definition]) ).
fof(f69052,plain,
( ~ v1_xboole_0(u1_struct_0(sK279))
| spl2150_50 ),
inference(avatar_component_clause,[],[f69051]) ).
fof(f69053,plain,
( v1_xboole_0(u1_struct_0(sK279))
| ~ spl2150_50 ),
inference(avatar_component_clause,[],[f69051]) ).
fof(f69059,plain,
( v3_struct_0(sK279)
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279)
| v1_xboole_0(sK281)
| m2_filter_2(k19_filter_2(sK279,sK281),sK279) ),
inference(resolution,[],[f48886,f48745]) ).
fof(f69060,plain,
( ~ v10_lattices(sK279)
| ~ l3_lattices(sK279)
| v1_xboole_0(sK281)
| m2_filter_2(k19_filter_2(sK279,sK281),sK279) ),
inference(forward_subsumption_resolution,[],[f69059,f48743]) ).
fof(f69061,plain,
( ~ l3_lattices(sK279)
| v1_xboole_0(sK281)
| m2_filter_2(k19_filter_2(sK279,sK281),sK279) ),
inference(forward_subsumption_resolution,[],[f69060,f48742]) ).
fof(f69062,plain,
( v1_xboole_0(sK281)
| m2_filter_2(k19_filter_2(sK279,sK281),sK279) ),
inference(forward_subsumption_resolution,[],[f69061,f48741]) ).
fof(f69063,plain,
m2_filter_2(k19_filter_2(sK279,sK281),sK279),
inference(forward_subsumption_resolution,[],[f69062,f48746]) ).
fof(f69064,plain,
( k18_filter_2(sK279,sK280) = k2_filter_2(k1_lattice2(sK279),k5_filter_2(sK279,sK280))
| v3_struct_0(sK279)
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279) ),
inference(resolution,[],[f48869,f48744]) ).
fof(f69065,plain,
( k18_filter_2(sK279,sK280) = k2_filter_2(k1_lattice2(sK279),k5_filter_2(sK279,sK280))
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279) ),
inference(forward_subsumption_resolution,[],[f69064,f48743]) ).
fof(f69066,plain,
( k18_filter_2(sK279,sK280) = k2_filter_2(k1_lattice2(sK279),k5_filter_2(sK279,sK280))
| ~ l3_lattices(sK279) ),
inference(forward_subsumption_resolution,[],[f69065,f48742]) ).
fof(f69067,plain,
k18_filter_2(sK279,sK280) = k2_filter_2(k1_lattice2(sK279),k5_filter_2(sK279,sK280)),
inference(forward_subsumption_resolution,[],[f69066,f48741]) ).
fof(f69077,plain,
( sK281 = k6_domain_1(u1_struct_0(sK279),sK280)
| v1_xboole_0(u1_struct_0(sK279))
| ~ m1_subset_1(sK281,k1_zfmisc_1(u1_struct_0(sK279)))
| ~ m1_subset_1(k6_domain_1(u1_struct_0(sK279),sK280),k1_zfmisc_1(u1_struct_0(sK279))) ),
inference(resolution,[],[f48859,f48747]) ).
fof(f69094,plain,
( v1_xboole_0(u1_struct_0(sK279))
| ~ m1_subset_1(sK280,u1_struct_0(sK279))
| spl2150_49 ),
inference(resolution,[],[f69049,f48844]) ).
fof(f69097,plain,
( v1_xboole_0(u1_struct_0(sK279))
| spl2150_49 ),
inference(forward_subsumption_resolution,[],[f69094,f48744]) ).
fof(f69099,plain,
( spl2150_50
| spl2150_49 ),
inference(avatar_split_clause,[],[f69097,f69047,f69051]) ).
fof(f69132,plain,
( sK281 = k7_filter_2(sK279,sK281)
| v3_struct_0(sK279)
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279) ),
inference(resolution,[],[f51670,f48745]) ).
fof(f69134,plain,
( sK281 = k7_filter_2(sK279,sK281)
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279) ),
inference(forward_subsumption_resolution,[],[f69132,f48743]) ).
fof(f69135,plain,
( sK281 = k7_filter_2(sK279,sK281)
| ~ l3_lattices(sK279) ),
inference(forward_subsumption_resolution,[],[f69134,f48742]) ).
fof(f69136,plain,
sK281 = k7_filter_2(sK279,sK281),
inference(forward_subsumption_resolution,[],[f69135,f48741]) ).
fof(f69204,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(X1,X0) = X0
| ~ m2_filter_2(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_tarski(X0,X0)
| k19_filter_2(X1,X0) = X0
| ~ m2_filter_2(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f48885,f48884]) ).
fof(f69206,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(X1,X0) = X0
| ~ m2_filter_2(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(duplicate_literal_removal,[],[f69204]) ).
fof(f69207,plain,
! [X0,X1] :
( k19_filter_2(X1,X0) = X0
| ~ m2_filter_2(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f69206,f49254]) ).
fof(f69208,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X0,X1)
| k19_filter_2(X1,X0) = X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f69207,f51485]) ).
fof(f69245,definition,
( spl2150_55
<=> k19_filter_2(sK279,sK281) = k19_filter_2(sK279,k19_filter_2(sK279,sK281)) ),
introduced(definition,[new_symbols(definition,[spl2150_55])],[avatar_definition]) ).
fof(f69247,plain,
( k19_filter_2(sK279,sK281) = k19_filter_2(sK279,k19_filter_2(sK279,sK281))
| ~ spl2150_55 ),
inference(avatar_component_clause,[],[f69245]) ).
fof(f69289,plain,
! [X0,X1] :
( ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X0,X1)
| k19_filter_2(X1,X0) = X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f62905,f69208]) ).
fof(f69308,plain,
! [X0,X1] :
( ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X0,X1)
| k19_filter_2(X1,X0) = X0 ),
inference(duplicate_literal_removal,[],[f69289]) ).
fof(f69314,plain,
! [X0,X1] :
( ~ m2_filter_2(X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| k19_filter_2(X1,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69308,f51484]) ).
fof(f69322,plain,
( ~ v10_lattices(sK279)
| ~ l3_lattices(sK279)
| v3_struct_0(sK279)
| k19_filter_2(sK279,sK281) = k19_filter_2(sK279,k19_filter_2(sK279,sK281)) ),
inference(resolution,[],[f69314,f69063]) ).
fof(f69329,plain,
( ~ l3_lattices(sK279)
| v3_struct_0(sK279)
| k19_filter_2(sK279,sK281) = k19_filter_2(sK279,k19_filter_2(sK279,sK281)) ),
inference(forward_subsumption_resolution,[],[f69322,f48742]) ).
fof(f69330,plain,
( v3_struct_0(sK279)
| k19_filter_2(sK279,sK281) = k19_filter_2(sK279,k19_filter_2(sK279,sK281)) ),
inference(forward_subsumption_resolution,[],[f69329,f48741]) ).
fof(f69331,plain,
k19_filter_2(sK279,sK281) = k19_filter_2(sK279,k19_filter_2(sK279,sK281)),
inference(forward_subsumption_resolution,[],[f69330,f48743]) ).
fof(f69332,plain,
spl2150_55,
inference(avatar_split_clause,[],[f69331,f69245]) ).
fof(f69336,plain,
( r1_filter_2(u1_struct_0(sK279),k19_filter_2(sK279,sK281),k19_filter_2(sK279,sK281))
| ~ m2_filter_2(k19_filter_2(sK279,sK281),sK279)
| v3_struct_0(sK279)
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279)
| ~ spl2150_55 ),
inference(superposition,[],[f48846,f69247]) ).
fof(f69338,plain,
( r1_filter_2(u1_struct_0(sK279),k19_filter_2(sK279,sK281),k19_filter_2(sK279,sK281))
| v3_struct_0(sK279)
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279)
| ~ spl2150_55 ),
inference(forward_subsumption_resolution,[],[f69336,f69063]) ).
fof(f69340,plain,
( r1_filter_2(u1_struct_0(sK279),k19_filter_2(sK279,sK281),k19_filter_2(sK279,sK281))
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279)
| ~ spl2150_55 ),
inference(forward_subsumption_resolution,[],[f69338,f48743]) ).
fof(f69342,plain,
( r1_filter_2(u1_struct_0(sK279),k19_filter_2(sK279,sK281),k19_filter_2(sK279,sK281))
| ~ l3_lattices(sK279)
| ~ spl2150_55 ),
inference(forward_subsumption_resolution,[],[f69340,f48742]) ).
fof(f69344,plain,
( r1_filter_2(u1_struct_0(sK279),k19_filter_2(sK279,sK281),k19_filter_2(sK279,sK281))
| ~ spl2150_55 ),
inference(forward_subsumption_resolution,[],[f69342,f48741]) ).
fof(f69380,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,[],[f51105,f51106]) ).
fof(f69381,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f69380]) ).
fof(f69382,plain,
( v3_struct_0(sK279)
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279)
| ~ spl2150_50 ),
inference(resolution,[],[f69381,f69053]) ).
fof(f69384,plain,
( ~ v10_lattices(sK279)
| ~ l3_lattices(sK279)
| ~ spl2150_50 ),
inference(forward_subsumption_resolution,[],[f69382,f48743]) ).
fof(f69385,plain,
( ~ l3_lattices(sK279)
| ~ spl2150_50 ),
inference(forward_subsumption_resolution,[],[f69384,f48742]) ).
fof(f69386,plain,
( $false
| ~ spl2150_50 ),
inference(forward_subsumption_resolution,[],[f69385,f48741]) ).
fof(f69387,plain,
~ spl2150_50,
inference(avatar_contradiction_clause,[],[f69386]) ).
fof(f69390,plain,
( sK281 = k6_domain_1(u1_struct_0(sK279),sK280)
| ~ m1_subset_1(sK281,k1_zfmisc_1(u1_struct_0(sK279)))
| ~ m1_subset_1(k6_domain_1(u1_struct_0(sK279),sK280),k1_zfmisc_1(u1_struct_0(sK279)))
| spl2150_50 ),
inference(forward_subsumption_resolution,[],[f69077,f69052]) ).
fof(f69394,plain,
( sK281 = k6_domain_1(u1_struct_0(sK279),sK280)
| ~ m1_subset_1(k6_domain_1(u1_struct_0(sK279),sK280),k1_zfmisc_1(u1_struct_0(sK279)))
| spl2150_50 ),
inference(forward_subsumption_resolution,[],[f69390,f48745]) ).
fof(f69397,plain,
( sK281 = k6_domain_1(u1_struct_0(sK279),sK280)
| ~ spl2150_49
| spl2150_50 ),
inference(forward_subsumption_resolution,[],[f69394,f69048]) ).
fof(f69620,plain,
( v3_struct_0(sK279)
| u1_struct_0(sK279) = u1_struct_0(k1_lattice2(sK279)) ),
inference(resolution,[],[f51622,f48741]) ).
fof(f69622,plain,
u1_struct_0(sK279) = u1_struct_0(k1_lattice2(sK279)),
inference(forward_subsumption_resolution,[],[f69620,f48743]) ).
fof(f69623,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK279)))
| v1_xboole_0(X0)
| k19_filter_2(sK279,X1) = k3_filter_2(k1_lattice2(sK279),k7_filter_2(sK279,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK279)))
| v3_struct_0(sK279)
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279) ),
inference(superposition,[],[f48878,f69622]) ).
fof(f69634,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK279))
| v3_struct_0(k1_lattice2(sK279))
| ~ v10_lattices(k1_lattice2(sK279))
| ~ l3_lattices(k1_lattice2(sK279))
| k2_filter_0(k1_lattice2(sK279),X0) = k2_filter_2(k1_lattice2(sK279),X0) ),
inference(superposition,[],[f51636,f69622]) ).
fof(f69635,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK279)))
| v3_struct_0(k1_lattice2(sK279))
| ~ v10_lattices(k1_lattice2(sK279))
| ~ l3_lattices(k1_lattice2(sK279))
| v1_xboole_0(X0)
| k3_filter_0(k1_lattice2(sK279),X0) = k3_filter_2(k1_lattice2(sK279),X0) ),
inference(superposition,[],[f51667,f69622]) ).
fof(f69638,plain,
! [X0] :
( ~ m1_subset_1(k6_domain_1(u1_struct_0(sK279),X0),k1_zfmisc_1(u1_struct_0(sK279)))
| v1_xboole_0(k6_domain_1(u1_struct_0(sK279),X0))
| k2_filter_0(k1_lattice2(sK279),X0) = k3_filter_0(k1_lattice2(sK279),k6_domain_1(u1_struct_0(sK279),X0))
| ~ m1_subset_1(X0,u1_struct_0(sK279))
| v3_struct_0(k1_lattice2(sK279))
| ~ v10_lattices(k1_lattice2(sK279))
| ~ l3_lattices(k1_lattice2(sK279)) ),
inference(superposition,[],[f66230,f69622]) ).
fof(f69649,definition,
( spl2150_65
<=> v10_lattices(k1_lattice2(sK279)) ),
introduced(definition,[new_symbols(definition,[spl2150_65])],[avatar_definition]) ).
fof(f69651,plain,
( ~ v10_lattices(k1_lattice2(sK279))
| spl2150_65 ),
inference(avatar_component_clause,[],[f69649]) ).
fof(f69653,definition,
( spl2150_66
<=> v3_struct_0(k1_lattice2(sK279)) ),
introduced(definition,[new_symbols(definition,[spl2150_66])],[avatar_definition]) ).
fof(f69655,plain,
( v3_struct_0(k1_lattice2(sK279))
| ~ spl2150_66 ),
inference(avatar_component_clause,[],[f69653]) ).
fof(f69657,definition,
( spl2150_67
<=> l3_lattices(k1_lattice2(sK279)) ),
introduced(definition,[new_symbols(definition,[spl2150_67])],[avatar_definition]) ).
fof(f69659,plain,
( ~ l3_lattices(k1_lattice2(sK279))
| spl2150_67 ),
inference(avatar_component_clause,[],[f69657]) ).
fof(f69676,definition,
( spl2150_71
<=> ! [X0] :
( ~ m1_subset_1(k6_domain_1(u1_struct_0(sK279),X0),k1_zfmisc_1(u1_struct_0(sK279)))
| ~ m1_subset_1(X0,u1_struct_0(sK279))
| k2_filter_0(k1_lattice2(sK279),X0) = k3_filter_0(k1_lattice2(sK279),k6_domain_1(u1_struct_0(sK279),X0))
| v1_xboole_0(k6_domain_1(u1_struct_0(sK279),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl2150_71])],[avatar_definition]) ).
fof(f69677,plain,
( ! [X0] :
( ~ m1_subset_1(k6_domain_1(u1_struct_0(sK279),X0),k1_zfmisc_1(u1_struct_0(sK279)))
| ~ m1_subset_1(X0,u1_struct_0(sK279))
| k2_filter_0(k1_lattice2(sK279),X0) = k3_filter_0(k1_lattice2(sK279),k6_domain_1(u1_struct_0(sK279),X0))
| v1_xboole_0(k6_domain_1(u1_struct_0(sK279),X0)) )
| ~ spl2150_71 ),
inference(avatar_component_clause,[],[f69676]) ).
fof(f69678,plain,
( ~ spl2150_67
| ~ spl2150_65
| spl2150_66
| spl2150_71 ),
inference(avatar_split_clause,[],[f69638,f69676,f69653,f69649,f69657]) ).
fof(f69688,definition,
( spl2150_74
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK279)))
| k3_filter_0(k1_lattice2(sK279),X0) = k3_filter_2(k1_lattice2(sK279),X0)
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2150_74])],[avatar_definition]) ).
fof(f69689,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK279)))
| k3_filter_0(k1_lattice2(sK279),X0) = k3_filter_2(k1_lattice2(sK279),X0)
| v1_xboole_0(X0) )
| ~ spl2150_74 ),
inference(avatar_component_clause,[],[f69688]) ).
fof(f69690,plain,
( ~ spl2150_67
| ~ spl2150_65
| spl2150_66
| spl2150_74 ),
inference(avatar_split_clause,[],[f69635,f69688,f69653,f69649,f69657]) ).
fof(f69692,definition,
( spl2150_75
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK279))
| k2_filter_0(k1_lattice2(sK279),X0) = k2_filter_2(k1_lattice2(sK279),X0) ) ),
introduced(definition,[new_symbols(definition,[spl2150_75])],[avatar_definition]) ).
fof(f69693,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK279))
| k2_filter_0(k1_lattice2(sK279),X0) = k2_filter_2(k1_lattice2(sK279),X0) )
| ~ spl2150_75 ),
inference(avatar_component_clause,[],[f69692]) ).
fof(f69694,plain,
( ~ spl2150_67
| ~ spl2150_65
| spl2150_66
| spl2150_75 ),
inference(avatar_split_clause,[],[f69634,f69692,f69653,f69649,f69657]) ).
fof(f69749,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK279)))
| v1_xboole_0(X0)
| k19_filter_2(sK279,X1) = k3_filter_2(k1_lattice2(sK279),k7_filter_2(sK279,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK279)))
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279) ),
inference(forward_subsumption_resolution,[],[f69623,f48743]) ).
fof(f69762,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK279)))
| v1_xboole_0(X0)
| k19_filter_2(sK279,X1) = k3_filter_2(k1_lattice2(sK279),k7_filter_2(sK279,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK279)))
| ~ l3_lattices(sK279) ),
inference(forward_subsumption_resolution,[],[f69749,f48742]) ).
fof(f69763,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK279)))
| v1_xboole_0(X0)
| k19_filter_2(sK279,X1) = k3_filter_2(k1_lattice2(sK279),k7_filter_2(sK279,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK279))) ),
inference(forward_subsumption_resolution,[],[f69762,f48741]) ).
fof(f69765,definition,
( spl2150_92
<=> ! [X1] :
( k19_filter_2(sK279,X1) = k3_filter_2(k1_lattice2(sK279),k7_filter_2(sK279,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK279)))
| v1_xboole_0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl2150_92])],[avatar_definition]) ).
fof(f69766,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK279)))
| k19_filter_2(sK279,X1) = k3_filter_2(k1_lattice2(sK279),k7_filter_2(sK279,X1))
| v1_xboole_0(X1) )
| ~ spl2150_92 ),
inference(avatar_component_clause,[],[f69765]) ).
fof(f69768,definition,
( spl2150_93
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK279)))
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2150_93])],[avatar_definition]) ).
fof(f69769,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK279)))
| v1_xboole_0(X0) )
| ~ spl2150_93 ),
inference(avatar_component_clause,[],[f69768]) ).
fof(f69770,plain,
( spl2150_92
| spl2150_93 ),
inference(avatar_split_clause,[],[f69763,f69768,f69765]) ).
fof(f69775,plain,
( k19_filter_2(sK279,sK281) = k3_filter_2(k1_lattice2(sK279),k7_filter_2(sK279,sK281))
| v1_xboole_0(sK281)
| ~ spl2150_92 ),
inference(resolution,[],[f69766,f48745]) ).
fof(f69776,plain,
( k19_filter_2(sK279,sK281) = k3_filter_2(k1_lattice2(sK279),k7_filter_2(sK279,sK281))
| ~ spl2150_92 ),
inference(forward_subsumption_resolution,[],[f69775,f48746]) ).
fof(f69781,plain,
( k19_filter_2(sK279,sK281) = k3_filter_2(k1_lattice2(sK279),sK281)
| ~ spl2150_92 ),
inference(forward_demodulation,[],[f69776,f69136]) ).
fof(f69788,plain,
( ~ sP35(sK279)
| spl2150_65 ),
inference(resolution,[],[f69651,f51624]) ).
fof(f69986,plain,
( v1_xboole_0(sK281)
| ~ spl2150_93 ),
inference(resolution,[],[f69769,f48745]) ).
fof(f69987,plain,
( $false
| ~ spl2150_93 ),
inference(forward_subsumption_resolution,[],[f69986,f48746]) ).
fof(f69988,plain,
~ spl2150_93,
inference(avatar_contradiction_clause,[],[f69987]) ).
fof(f70026,plain,
( v3_struct_0(sK279)
| sP35(sK279)
| ~ l3_lattices(sK279) ),
inference(resolution,[],[f51633,f48742]) ).
fof(f70029,plain,
( sP35(sK279)
| ~ l3_lattices(sK279) ),
inference(forward_subsumption_resolution,[],[f70026,f48743]) ).
fof(f70030,plain,
( ~ l3_lattices(sK279)
| spl2150_65 ),
inference(forward_subsumption_resolution,[],[f70029,f69788]) ).
fof(f70031,plain,
( $false
| spl2150_65 ),
inference(forward_subsumption_resolution,[],[f70030,f48741]) ).
fof(f70032,plain,
spl2150_65,
inference(avatar_contradiction_clause,[],[f70031]) ).
fof(f70035,plain,
( ~ l3_lattices(sK279)
| spl2150_67 ),
inference(resolution,[],[f69659,f51603]) ).
fof(f70036,plain,
( $false
| spl2150_67 ),
inference(forward_subsumption_resolution,[],[f70035,f48741]) ).
fof(f70037,plain,
spl2150_67,
inference(avatar_contradiction_clause,[],[f70036]) ).
fof(f70038,plain,
( v3_struct_0(sK279)
| ~ l3_lattices(sK279)
| ~ spl2150_66 ),
inference(resolution,[],[f69655,f51635]) ).
fof(f70039,plain,
( ~ l3_lattices(sK279)
| ~ spl2150_66 ),
inference(forward_subsumption_resolution,[],[f70038,f48743]) ).
fof(f70040,plain,
( $false
| ~ spl2150_66 ),
inference(forward_subsumption_resolution,[],[f70039,f48741]) ).
fof(f70041,plain,
~ spl2150_66,
inference(avatar_contradiction_clause,[],[f70040]) ).
fof(f70087,plain,
( k3_filter_2(k1_lattice2(sK279),sK281) = k3_filter_0(k1_lattice2(sK279),sK281)
| v1_xboole_0(sK281)
| ~ spl2150_74 ),
inference(resolution,[],[f69689,f48745]) ).
fof(f70088,plain,
( k3_filter_2(k1_lattice2(sK279),sK281) = k3_filter_0(k1_lattice2(sK279),sK281)
| ~ spl2150_74 ),
inference(forward_subsumption_resolution,[],[f70087,f48746]) ).
fof(f70092,plain,
( k19_filter_2(sK279,sK281) = k3_filter_0(k1_lattice2(sK279),sK281)
| ~ spl2150_74
| ~ spl2150_92 ),
inference(forward_demodulation,[],[f70088,f69781]) ).
fof(f70239,plain,
( ~ m1_subset_1(sK281,k1_zfmisc_1(u1_struct_0(sK279)))
| ~ m1_subset_1(sK280,u1_struct_0(sK279))
| k3_filter_0(k1_lattice2(sK279),sK281) = k2_filter_0(k1_lattice2(sK279),sK280)
| v1_xboole_0(sK281)
| ~ spl2150_49
| spl2150_50
| ~ spl2150_71 ),
inference(superposition,[],[f69677,f69397]) ).
fof(f70241,plain,
( ~ m1_subset_1(sK280,u1_struct_0(sK279))
| k3_filter_0(k1_lattice2(sK279),sK281) = k2_filter_0(k1_lattice2(sK279),sK280)
| v1_xboole_0(sK281)
| ~ spl2150_49
| spl2150_50
| ~ spl2150_71 ),
inference(forward_subsumption_resolution,[],[f70239,f48745]) ).
fof(f70246,plain,
( k3_filter_0(k1_lattice2(sK279),sK281) = k2_filter_0(k1_lattice2(sK279),sK280)
| v1_xboole_0(sK281)
| ~ spl2150_49
| spl2150_50
| ~ spl2150_71 ),
inference(forward_subsumption_resolution,[],[f70241,f48744]) ).
fof(f70251,plain,
( k3_filter_0(k1_lattice2(sK279),sK281) = k2_filter_0(k1_lattice2(sK279),sK280)
| ~ spl2150_49
| spl2150_50
| ~ spl2150_71 ),
inference(forward_subsumption_resolution,[],[f70246,f48746]) ).
fof(f70255,plain,
( k19_filter_2(sK279,sK281) = k2_filter_0(k1_lattice2(sK279),sK280)
| ~ spl2150_49
| spl2150_50
| ~ spl2150_71
| ~ spl2150_74
| ~ spl2150_92 ),
inference(forward_demodulation,[],[f70251,f70092]) ).
fof(f70635,plain,
( k2_filter_0(k1_lattice2(sK279),sK280) = k2_filter_2(k1_lattice2(sK279),sK280)
| ~ spl2150_75 ),
inference(resolution,[],[f69693,f48744]) ).
fof(f70636,plain,
( k19_filter_2(sK279,sK281) = k2_filter_2(k1_lattice2(sK279),sK280)
| ~ spl2150_49
| spl2150_50
| ~ spl2150_71
| ~ spl2150_74
| ~ spl2150_75
| ~ spl2150_92 ),
inference(forward_demodulation,[],[f70635,f70255]) ).
fof(f71518,plain,
( sK280 = k5_filter_2(sK279,sK280)
| v3_struct_0(sK279)
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279) ),
inference(resolution,[],[f51648,f48744]) ).
fof(f71525,plain,
( sK280 = k5_filter_2(sK279,sK280)
| ~ v10_lattices(sK279)
| ~ l3_lattices(sK279) ),
inference(forward_subsumption_resolution,[],[f71518,f48743]) ).
fof(f71530,plain,
( sK280 = k5_filter_2(sK279,sK280)
| ~ l3_lattices(sK279) ),
inference(forward_subsumption_resolution,[],[f71525,f48742]) ).
fof(f71535,plain,
sK280 = k5_filter_2(sK279,sK280),
inference(forward_subsumption_resolution,[],[f71530,f48741]) ).
fof(f71537,plain,
k18_filter_2(sK279,sK280) = k2_filter_2(k1_lattice2(sK279),sK280),
inference(superposition,[],[f69067,f71535]) ).
fof(f71538,plain,
( k19_filter_2(sK279,sK281) = k18_filter_2(sK279,sK280)
| ~ spl2150_49
| spl2150_50
| ~ spl2150_71
| ~ spl2150_74
| ~ spl2150_75
| ~ spl2150_92 ),
inference(forward_demodulation,[],[f71537,f70636]) ).
fof(f71539,plain,
( ~ r1_filter_2(u1_struct_0(sK279),k19_filter_2(sK279,sK281),k19_filter_2(sK279,sK281))
| ~ spl2150_49
| spl2150_50
| ~ spl2150_71
| ~ spl2150_74
| ~ spl2150_75
| ~ spl2150_92 ),
inference(superposition,[],[f48748,f71538]) ).
fof(f71588,plain,
( $false
| ~ spl2150_49
| spl2150_50
| ~ spl2150_55
| ~ spl2150_71
| ~ spl2150_74
| ~ spl2150_75
| ~ spl2150_92 ),
inference(forward_subsumption_resolution,[],[f71539,f69344]) ).
fof(f71589,plain,
( ~ spl2150_49
| spl2150_50
| ~ spl2150_55
| ~ spl2150_71
| ~ spl2150_74
| ~ spl2150_75
| ~ spl2150_92 ),
inference(avatar_contradiction_clause,[],[f71588]) ).
cnf(s36,plain,
( spl2150_49
| spl2150_50 ),
inference(sat_conversion,[],[f69099]) ).
cnf(s39,plain,
spl2150_55,
inference(sat_conversion,[],[f69332]) ).
cnf(s41,plain,
~ spl2150_50,
inference(sat_conversion,[],[f69387]) ).
cnf(s50,plain,
( ~ spl2150_65
| spl2150_66
| ~ spl2150_67
| spl2150_71 ),
inference(sat_conversion,[],[f69678]) ).
cnf(s53,plain,
( ~ spl2150_65
| spl2150_66
| ~ spl2150_67
| spl2150_74 ),
inference(sat_conversion,[],[f69690]) ).
cnf(s54,plain,
( ~ spl2150_65
| spl2150_66
| ~ spl2150_67
| spl2150_75 ),
inference(sat_conversion,[],[f69694]) ).
cnf(s68,plain,
( spl2150_92
| spl2150_93 ),
inference(sat_conversion,[],[f69770]) ).
cnf(s72,plain,
~ spl2150_93,
inference(sat_conversion,[],[f69988]) ).
cnf(s75,plain,
spl2150_65,
inference(sat_conversion,[],[f70032]) ).
cnf(s76,plain,
spl2150_67,
inference(sat_conversion,[],[f70037]) ).
cnf(s77,plain,
~ spl2150_66,
inference(sat_conversion,[],[f70041]) ).
cnf(s117,plain,
( ~ spl2150_49
| spl2150_50
| ~ spl2150_55
| ~ spl2150_71
| ~ spl2150_74
| ~ spl2150_75
| ~ spl2150_92 ),
inference(sat_conversion,[],[f71589]) ).
cnf(s129,plain,
spl2150_92,
inference(rat,[],[s68,s72]) ).
cnf(s145,plain,
spl2150_75,
inference(rat,[],[s54,s76,s77,s75]) ).
cnf(s146,plain,
spl2150_74,
inference(rat,[],[s53,s76,s77,s75]) ).
cnf(s149,plain,
spl2150_71,
inference(rat,[],[s50,s76,s77,s75]) ).
cnf(s160,plain,
~ spl2150_49,
inference(rat,[],[s117,s129,s145,s146,s149,s41,s39]) ).
cnf(s161,plain,
$false,
inference(rat,[],[s36,s41,s160]) ).
fof(f71610,plain,
$false,
inference(avatar_sat_refutation,[],[s161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT312+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 % Computer : n016.cluster.edu
% 0.09/0.40 % Model : x86_64 x86_64
% 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40 % Memory : 8046.5625MB
% 0.09/0.40 % OS : Linux 6.8.0-71-generic
% 0.09/0.40 % CPULimit : 300
% 0.09/0.40 % WCLimit : 300
% 0.09/0.40 % DateTime : Sun Sep 27 14:35:55 UTC 2026
% 0.09/0.41 % CPUTime :
% 0.09/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.44 Running first-order theorem proving
% 0.09/0.44 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
% 18.37/5.39 % (2705923)Detected formulas, will run a generic FOF schedule.
% 18.37/5.39 % (2705930)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=145515682:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 18.37/5.39 % (2705928)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=2771468879:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 18.37/5.39 % (2705929)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=276993521:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 18.37/5.39 % (2705931)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=851491800:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 18.37/5.39 % (2705932)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3980186060:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 18.37/5.39 % (2705933)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3791121237:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 18.37/5.39 % (2705934)dis-21_1_sil=8000:lcm=predicate:random_seed=2226929085:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2978 on theBenchmark for (2978ds/129Mi)
% 18.37/5.39 % (2705933)Instruction limit reached!
% 18.37/5.39 % (2705933)------------------------------
% 18.37/5.39 % (2705933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/5.39 % (2705933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/5.39 % (2705933)CaDiCaL version: 2.1.3
% 18.37/5.39 % (2705933)Termination reason: Instruction limit
% 18.37/5.39 % (2705933)Termination phase: Property scanning
% 18.37/5.39 % (2705933)Time elapsed: 0.063 s
% 18.37/5.39 % (2705933)Peak memory usage: 136 MB
% 18.37/5.39 % (2705933)Instructions burned: 140 (million)
% 18.37/5.39 % (2705931)Instruction limit reached!
% 18.37/5.39 % (2705931)------------------------------
% 18.37/5.39 % (2705931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/5.39 % (2705931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/5.39 % (2705931)CaDiCaL version: 2.1.3
% 18.37/5.39 % (2705931)Termination reason: Instruction limit
% 18.37/5.39 % (2705931)Termination phase: SInE selection
% 18.37/5.39 % (2705931)Time elapsed: 0.079 s
% 18.37/5.39 % (2705931)Peak memory usage: 136 MB
% 18.37/5.39 % (2705931)Instructions burned: 109 (million)
% 18.37/5.39 % (2705932)Instruction limit reached!
% 18.37/5.39 % (2705932)------------------------------
% 18.37/5.39 % (2705932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/5.39 % (2705932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/5.39 % (2705932)CaDiCaL version: 2.1.3
% 18.37/5.39 % (2705932)Termination reason: Instruction limit
% 18.37/5.39 % (2705932)Termination phase: SInE selection
% 18.37/5.39 % (2705932)Time elapsed: 0.086 s
% 18.37/5.39 % (2705932)Peak memory usage: 136 MB
% 18.37/5.39 % (2705932)Instructions burned: 120 (million)
% 18.37/5.39 % (2705934)Instruction limit reached!
% 18.37/5.39 % (2705934)------------------------------
% 18.37/5.39 % (2705934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/5.39 % (2705934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/5.39 % (2705934)CaDiCaL version: 2.1.3
% 18.37/5.39 % (2705934)Termination reason: Instruction limit
% 18.37/5.39 % (2705934)Termination phase: SInE selection
% 18.37/5.39 % (2705934)Time elapsed: 0.092 s
% 18.37/5.39 % (2705934)Peak memory usage: 136 MB
% 18.37/5.39 % (2705934)Instructions burned: 130 (million)
% 18.37/5.39 % (2705942)lrs+10_1_sil=8000:sp=occurrence:random_seed=1554798624:i=285:sd=3:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/285Mi)
% 18.37/5.39 % (2705943)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2046953102:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 18.37/5.39 % (2705944)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1813499380:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 18.37/5.39 % (2705945)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=1773231952:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 18.37/5.39 % (2705943)Instruction limit reached!
% 25.97/6.45 % (2705943)------------------------------
% 25.97/6.45 % (2705943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.97/6.45 % (2705943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.97/6.45 % (2705943)CaDiCaL version: 2.1.3
% 25.97/6.45 % (2705943)Termination reason: Instruction limit
% 25.97/6.45 % (2705943)Termination phase: Property scanning
% 25.97/6.45 % (2705943)Time elapsed: 0.070 s
% 25.97/6.45 % (2705943)Peak memory usage: 136 MB
% 25.97/6.45 % (2705943)Instructions burned: 158 (million)
% 25.97/6.45 % (2705945)Instruction limit reached!
% 25.97/6.45 % (2705945)------------------------------
% 25.97/6.45 % (2705945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.97/6.45 % (2705945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.97/6.45 % (2705945)CaDiCaL version: 2.1.3
% 25.97/6.45 % (2705945)Termination reason: Instruction limit
% 25.97/6.45 % (2705945)Termination phase: Property scanning
% 25.97/6.45 % (2705945)Time elapsed: 0.109 s
% 25.97/6.45 % (2705945)Peak memory usage: 136 MB
% 25.97/6.45 % (2705945)Instructions burned: 249 (million)
% 25.97/6.45 % (2705942)Instruction limit reached!
% 25.97/6.45 % (2705942)------------------------------
% 25.97/6.45 % (2705942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.97/6.45 % (2705942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.97/6.45 % (2705942)CaDiCaL version: 2.1.3
% 25.97/6.45 % (2705942)Termination reason: Instruction limit
% 25.97/6.45 % (2705942)Termination phase: Saturation
% 25.97/6.45 % (2705942)Time elapsed: 0.228 s
% 25.97/6.45 % (2705942)Peak memory usage: 141 MB
% 25.97/6.45 % (2705942)Instructions burned: 285 (million)
% 25.97/6.45 % (2705950)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=322257515:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 25.97/6.45 % (2705944)Instruction limit reached!
% 25.97/6.45 % (2705944)------------------------------
% 25.97/6.45 % (2705944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.97/6.45 % (2705944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.97/6.45 % (2705944)CaDiCaL version: 2.1.3
% 25.97/6.45 % (2705944)Termination reason: Instruction limit
% 25.97/6.45 % (2705944)Termination phase: Saturation
% 25.97/6.45 % (2705944)Time elapsed: 0.262 s
% 25.97/6.45 % (2705944)Peak memory usage: 142 MB
% 25.97/6.45 % (2705944)Instructions burned: 325 (million)
% 25.97/6.45 % (2705951)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2909038899:i=2350_2972 on theBenchmark for (2972ds/2350Mi)
% 25.97/6.45 % (2705952)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3376052798:cts=off:i=113:fsr=off:ss=included:sgt=4_2971 on theBenchmark for (2971ds/113Mi)
% 25.97/6.45 % (2705950)Instruction limit reached!
% 25.97/6.45 % (2705950)------------------------------
% 25.97/6.45 % (2705950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.97/6.45 % (2705950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.97/6.45 % (2705950)CaDiCaL version: 2.1.3
% 25.97/6.45 % (2705950)Termination reason: Instruction limit
% 25.97/6.45 % (2705950)Termination phase: SInE selection
% 25.97/6.45 % (2705950)Time elapsed: 0.181 s
% 25.97/6.45 % (2705950)Peak memory usage: 137 MB
% 25.97/6.45 % (2705950)Instructions burned: 295 (million)
% 25.97/6.45 % (2705954)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2346264901:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 25.97/6.45 % (2705952)Instruction limit reached!
% 25.97/6.45 % (2705952)------------------------------
% 25.97/6.45 % (2705952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.97/6.45 % (2705952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.97/6.45 % (2705952)CaDiCaL version: 2.1.3
% 25.97/6.45 % (2705952)Termination reason: Instruction limit
% 25.97/6.45 % (2705952)Termination phase: SInE selection
% 25.97/6.45 % (2705952)Time elapsed: 0.085 s
% 25.97/6.45 % (2705952)Peak memory usage: 136 MB
% 25.97/6.45 % (2705952)Instructions burned: 115 (million)
% 25.97/6.45 % (2705954)Instruction limit reached!
% 25.97/6.45 % (2705954)------------------------------
% 25.97/6.45 % (2705954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.97/6.45 % (2705954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.97/6.45 % (2705954)CaDiCaL version: 2.1.3
% 25.97/6.45 % (2705954)Termination reason: Instruction limit
% 27.24/10.63 % (2705954)Termination phase: Preprocessing 1
% 27.24/10.63 % (2705954)Time elapsed: 0.095 s
% 27.24/10.63 % (2705954)Peak memory usage: 137 MB
% 27.24/10.63 % (2705954)Instructions burned: 127 (million)
% 27.24/10.63 % (2705957)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3894620322:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2969 on theBenchmark for (2969ds/114Mi)
% 27.24/10.63 % (2705959)lrs+10_1_sil=8000:sp=occurrence:random_seed=710194844:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2969 on theBenchmark for (2969ds/907Mi)
% 27.24/10.63 % (2705957)Instruction limit reached!
% 27.24/10.63 % (2705957)------------------------------
% 27.24/10.63 % (2705957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705957)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705957)Termination reason: Instruction limit
% 27.24/10.63 % (2705957)Termination phase: Property scanning
% 27.24/10.63 % (2705957)Time elapsed: 0.052 s
% 27.24/10.63 % (2705957)Peak memory usage: 136 MB
% 27.24/10.63 % (2705957)Instructions burned: 116 (million)
% 27.24/10.63 % (2705960)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2070497593:i=437:sd=1:aac=none:ss=included_2968 on theBenchmark for (2968ds/437Mi)
% 27.24/10.63 % (2705963)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3242685353:i=5202:ss=axioms:sgt=16_2967 on theBenchmark for (2967ds/5202Mi)
% 27.24/10.63 % (2705960)Instruction limit reached!
% 27.24/10.63 % (2705960)------------------------------
% 27.24/10.63 % (2705960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705960)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705960)Termination reason: Instruction limit
% 27.24/10.63 % (2705960)Termination phase: Saturation
% 27.24/10.63 % (2705960)Time elapsed: 0.313 s
% 27.24/10.63 % (2705960)Peak memory usage: 144 MB
% 27.24/10.63 % (2705960)Instructions burned: 438 (million)
% 27.24/10.63 % (2705966)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=66915329:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2963 on theBenchmark for (2963ds/134Mi)
% 27.24/10.63 % (2705959)Instruction limit reached!
% 27.24/10.63 % (2705959)------------------------------
% 27.24/10.63 % (2705959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705959)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705959)Termination reason: Instruction limit
% 27.24/10.63 % (2705959)Termination phase: Property scanning
% 27.24/10.63 % (2705959)Time elapsed: 0.605 s
% 27.24/10.63 % (2705959)Peak memory usage: 157 MB
% 27.24/10.63 % (2705959)Instructions burned: 908 (million)
% 27.24/10.63 % (2705966)Instruction limit reached!
% 27.24/10.63 % (2705966)------------------------------
% 27.24/10.63 % (2705966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705966)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705966)Termination reason: Instruction limit
% 27.24/10.63 % (2705966)Termination phase: SInE selection
% 27.24/10.63 % (2705966)Time elapsed: 0.102 s
% 27.24/10.63 % (2705966)Peak memory usage: 136 MB
% 27.24/10.63 % (2705966)Instructions burned: 134 (million)
% 27.24/10.63 % (2705968)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=368704529:st=8:i=592:sd=3:ep=RST:ss=axioms_2961 on theBenchmark for (2961ds/592Mi)
% 27.24/10.63 % (2705969)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3574150000:st=3:i=13193:sd=3:ss=axioms_2960 on theBenchmark for (2960ds/13193Mi)
% 27.24/10.63 % (2705968)Instruction limit reached!
% 27.24/10.63 % (2705968)------------------------------
% 27.24/10.63 % (2705968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705968)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705968)Termination reason: Instruction limit
% 27.24/10.63 % (2705968)Termination phase: Preprocessing 2
% 27.24/10.63 % (2705968)Time elapsed: 0.442 s
% 27.24/10.63 % (2705968)Peak memory usage: 143 MB
% 27.24/10.63 % (2705968)Instructions burned: 593 (million)
% 27.24/10.63 % (2705951)Instruction limit reached!
% 27.24/10.63 % (2705951)------------------------------
% 27.24/10.63 % (2705951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705951)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705951)Termination reason: Instruction limit
% 27.24/10.63 % (2705951)Termination phase: Property scanning
% 27.24/10.63 % (2705951)Time elapsed: 1.587 s
% 27.24/10.63 % (2705951)Peak memory usage: 233 MB
% 27.24/10.63 % (2705951)Instructions burned: 2352 (million)
% 27.24/10.63 % (2705972)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=1908492733:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2955 on theBenchmark for (2955ds/125Mi)
% 27.24/10.63 % (2705972)Instruction limit reached!
% 27.24/10.63 % (2705972)------------------------------
% 27.24/10.63 % (2705972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705972)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705972)Termination reason: Instruction limit
% 27.24/10.63 % (2705972)Termination phase: Property scanning
% 27.24/10.63 % (2705972)Time elapsed: 0.057 s
% 27.24/10.63 % (2705972)Peak memory usage: 136 MB
% 27.24/10.63 % (2705972)Instructions burned: 125 (million)
% 27.24/10.63 % (2705973)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3922656016:i=134:gtgl=5:slsql=off:gtg=exists_sym_2954 on theBenchmark for (2954ds/134Mi)
% 27.24/10.63 % (2705973)Instruction limit reached!
% 27.24/10.63 % (2705973)------------------------------
% 27.24/10.63 % (2705973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705973)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705973)Termination reason: Instruction limit
% 27.24/10.63 % (2705973)Termination phase: Property scanning
% 27.24/10.63 % (2705973)Time elapsed: 0.060 s
% 27.24/10.63 % (2705973)Peak memory usage: 136 MB
% 27.24/10.63 % (2705973)Instructions burned: 135 (million)
% 27.24/10.63 % (2705975)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3184618134:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2953 on theBenchmark for (2953ds/141Mi)
% 27.24/10.63 % (2705977)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=36375798:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2952 on theBenchmark for (2952ds/431Mi)
% 27.24/10.63 % (2705975)Instruction limit reached!
% 27.24/10.63 % (2705975)------------------------------
% 27.24/10.63 % (2705975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705975)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705975)Termination reason: Instruction limit
% 27.24/10.63 % (2705975)Termination phase: SInE selection
% 27.24/10.63 % (2705975)Time elapsed: 0.109 s
% 27.24/10.63 % (2705975)Peak memory usage: 136 MB
% 27.24/10.63 % (2705975)Instructions burned: 141 (million)
% 27.24/10.63 % (2705980)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=3902016979:i=6060:aac=none:ins=25_2950 on theBenchmark for (2950ds/6060Mi)
% 27.24/10.63 % (2705977)Instruction limit reached!
% 27.24/10.63 % (2705977)------------------------------
% 27.24/10.63 % (2705977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705977)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705977)Termination reason: Instruction limit
% 27.24/10.63 % (2705977)Termination phase: Saturation
% 27.24/10.63 % (2705977)Time elapsed: 0.324 s
% 27.24/10.63 % (2705977)Peak memory usage: 144 MB
% 27.24/10.63 % (2705977)Instructions burned: 432 (million)
% 27.24/10.63 % (2705982)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=3797171113:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2947 on theBenchmark for (2947ds/150Mi)
% 27.24/10.63 % (2705982)Instruction limit reached!
% 27.24/10.63 % (2705982)------------------------------
% 27.24/10.63 % (2705982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705982)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705982)Termination reason: Instruction limit
% 27.24/10.63 % (2705982)Termination phase: SInE selection
% 27.24/10.63 % (2705982)Time elapsed: 0.115 s
% 27.24/10.63 % (2705982)Peak memory usage: 136 MB
% 27.24/10.63 % (2705982)Instructions burned: 151 (million)
% 27.24/10.63 % (2705984)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2989711577:i=14155:bd=all_2944 on theBenchmark for (2944ds/14155Mi)
% 27.24/10.63 % (2705963)Instruction limit reached!
% 27.24/10.63 % (2705963)------------------------------
% 27.24/10.63 % (2705963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705963)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705963)Termination reason: Instruction limit
% 27.24/10.63 % (2705963)Termination phase: Saturation
% 27.24/10.63 % (2705963)Time elapsed: 3.821 s
% 27.24/10.63 % (2705963)Peak memory usage: 624 MB
% 27.24/10.63 % (2705963)Instructions burned: 5204 (million)
% 27.24/10.63 % (2705986)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=897170763:i=667:av=off:fsr=off_2927 on theBenchmark for (2927ds/667Mi)
% 27.24/10.63 % (2705986)Instruction limit reached!
% 27.24/10.63 % (2705986)------------------------------
% 27.24/10.63 % (2705986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705986)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705986)Termination reason: Instruction limit
% 27.24/10.63 % (2705986)Termination phase: NewCNF
% 27.24/10.63 % (2705986)Time elapsed: 0.537 s
% 27.24/10.63 % (2705986)Peak memory usage: 186 MB
% 27.24/10.63 % (2705986)Instructions burned: 667 (million)
% 27.24/10.63 % (2705988)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2336110474:s2a=on:i=185:s2at=1.8:fdi=4_2919 on theBenchmark for (2919ds/185Mi)
% 27.24/10.63 % (2705988)Instruction limit reached!
% 27.24/10.63 % (2705988)------------------------------
% 27.24/10.63 % (2705988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705988)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705988)Termination reason: Instruction limit
% 27.24/10.63 % (2705988)Termination phase: SInE selection
% 27.24/10.63 % (2705988)Time elapsed: 0.132 s
% 27.24/10.63 % (2705988)Peak memory usage: 136 MB
% 27.24/10.63 % (2705988)Instructions burned: 186 (million)
% 27.24/10.63 % (2705990)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3580409060:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2916 on theBenchmark for (2916ds/193Mi)
% 27.24/10.63 % (2705990)Instruction limit reached!
% 27.24/10.63 % (2705990)------------------------------
% 27.24/10.63 % (2705990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705990)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705990)Termination reason: Instruction limit
% 27.24/10.63 % (2705990)Termination phase: SInE selection
% 27.24/10.63 % (2705990)Time elapsed: 0.149 s
% 27.24/10.63 % (2705990)Peak memory usage: 136 MB
% 27.24/10.63 % (2705990)Instructions burned: 194 (million)
% 27.24/10.63 % (2705992)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4109473101:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2913 on theBenchmark for (2913ds/4850Mi)
% 27.24/10.63 % (2705980)Instruction limit reached!
% 27.24/10.63 % (2705980)------------------------------
% 27.24/10.63 % (2705980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.24/10.63 % (2705980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.24/10.63 % (2705980)CaDiCaL version: 2.1.3
% 27.24/10.63 % (2705980)Termination reason: Instruction limit
% 27.24/10.63 % (2705980)Termination phase: Function definition elimination
% 27.24/10.63 % (2705980)Time elapsed: 3.861 s
% 27.24/10.63 % (2705980)Peak memory usage: 244 MB
% 27.24/10.63 % (2705980)Instructions burned: 6061 (million)
% 27.24/10.63 % (2705994)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1600976390:i=12111:sd=1:ss=included_2909 on theBenchmark for (2909ds/12111Mi)
% 27.24/10.63 % (2705969)First to succeed.
% 27.24/10.63 % (2705969)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2705923"
% 27.24/10.63 % (2705969)Refutation found. Thanks to Tanya!
% 27.24/10.63 % SZS status Theorem for theBenchmark
% 27.24/10.63 % SZS output start Proof for theBenchmark
% See solution above
% 55.84/10.88 % (2705969)------------------------------
% 55.84/10.88 % (2705969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.84/10.88 % (2705969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.84/10.88 % (2705969)CaDiCaL version: 2.1.3
% 55.84/10.88 % (2705969)Termination reason: Refutation
% 55.84/10.88 % (2705969)Time elapsed: 5.214 s
% 55.84/10.88 % (2705969)Peak memory usage: 399 MB
% 55.84/10.88 % (2705969)Instructions burned: 8537 (million)
% 55.84/10.88 % (2705969)------------------------------
% 55.84/10.88 % (2705969)------------------------------
% 55.84/10.88 % (2705923)Success in time 9.745 s
% 55.84/10.88 % Vampire exiting
%------------------------------------------------------------------------------