%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT311+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 10.93s 2.63s
% Output : Refutation 13.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of formulae : 177 ( 33 unt; 8 def)
% Number of atoms : 667 ( 102 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 796 ( 306 ~; 347 |; 104 &)
% ( 8 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 9 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-2 aty)
% Number of variables : 167 ( 0 sgn 161 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f8589,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f8605,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/sandbox/benchmark/theBenchmark.p',t29_filter_0) ).
fof(f9358,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f9363,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f9391,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f9463,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f13541,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/sandbox/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f13543,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/sandbox/benchmark/theBenchmark.p',redefinition_k3_filter_2) ).
fof(f13596,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/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f13602,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f13614,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) = a_2_0_filter_2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_filter_2) ).
fof(f13616,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/sandbox/benchmark/theBenchmark.p',t30_filter_2) ).
fof(f13626,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/sandbox/benchmark/theBenchmark.p',t37_filter_2) ).
fof(f13629,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/sandbox/benchmark/theBenchmark.p',t40_filter_2) ).
fof(f13630,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)],[f13629]) ).
fof(f13697,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,[],[f13541]) ).
fof(f13698,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,[],[f13697]) ).
fof(f13701,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,[],[f13543]) ).
fof(f13702,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,[],[f13701]) ).
fof(f13804,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,[],[f13596]) ).
fof(f13805,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,[],[f13804]) ).
fof(f13816,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13602]) ).
fof(f13817,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,[],[f13816]) ).
fof(f13840,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_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,[],[f13614]) ).
fof(f13841,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13840]) ).
fof(f13844,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,[],[f13616]) ).
fof(f13845,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,[],[f13844]) ).
fof(f13864,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,[],[f13626]) ).
fof(f13865,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,[],[f13864]) ).
fof(f13870,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,[],[f13630]) ).
fof(f13871,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,[],[f13870]) ).
fof(f13887,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f13910,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(f13911,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f13910]) ).
fof(f13932,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8589]) ).
fof(f13933,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13932]) ).
fof(f13952,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,[],[f8605]) ).
fof(f13953,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,[],[f13952]) ).
fof(f13998,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9391]) ).
fof(f13999,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,[],[f13998]) ).
fof(f14011,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f14014,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9363]) ).
fof(f14015,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,[],[f14014]) ).
fof(f14016,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f14017,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14016]) ).
fof(f18244,plain,
( ~ r1_tarski(k18_filter_2(sK39,sK40),k19_filter_2(sK39,sK41))
& r2_hidden(sK40,sK41)
& ~ v1_xboole_0(sK41)
& m1_subset_1(sK41,k1_zfmisc_1(u1_struct_0(sK39)))
& m1_subset_1(sK40,u1_struct_0(sK39))
& ~ v3_struct_0(sK39)
& v10_lattices(sK39)
& l3_lattices(sK39) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39,sK40,sK41]),skolemize(X0,sK39),skolemize(X1,sK40),skolemize(X2,sK41)],[f13871]) ).
fof(f19698,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13698]) ).
fof(f19700,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f13702]) ).
fof(f19787,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k5_filter_2(X0,X1) = X1
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13805]) ).
fof(f19801,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k7_filter_2(X0,X1) = X1
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13817]) ).
fof(f19827,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13841]) ).
fof(f19831,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13845]) ).
fof(f19861,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,[],[f13865]) ).
fof(f19865,plain,
l3_lattices(sK39),
inference(cnf_transformation,[],[f18244]) ).
fof(f19866,plain,
v10_lattices(sK39),
inference(cnf_transformation,[],[f18244]) ).
fof(f19867,plain,
~ v3_struct_0(sK39),
inference(cnf_transformation,[],[f18244]) ).
fof(f19868,plain,
m1_subset_1(sK40,u1_struct_0(sK39)),
inference(cnf_transformation,[],[f18244]) ).
fof(f19869,plain,
m1_subset_1(sK41,k1_zfmisc_1(u1_struct_0(sK39))),
inference(cnf_transformation,[],[f18244]) ).
fof(f19870,plain,
~ v1_xboole_0(sK41),
inference(cnf_transformation,[],[f18244]) ).
fof(f19871,plain,
r2_hidden(sK40,sK41),
inference(cnf_transformation,[],[f18244]) ).
fof(f19872,plain,
~ r1_tarski(k18_filter_2(sK39,sK40),k19_filter_2(sK39,sK41)),
inference(cnf_transformation,[],[f18244]) ).
fof(f19898,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f13887]) ).
fof(f19921,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f13911]) ).
fof(f19941,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13933]) ).
fof(f19955,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,[],[f13953]) ).
fof(f20004,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f13999]) ).
fof(f20026,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14011]) ).
fof(f20029,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14015]) ).
fof(f20039,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14017]) ).
fof(f28600,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK39))
| v3_struct_0(sK39)
| k18_filter_2(sK39,X0) = a_2_0_filter_2(sK39,X0)
| ~ l3_lattices(sK39) ),
inference(resolution,[],[f19827,f19866]) ).
fof(f28601,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK39))
| k18_filter_2(sK39,X0) = a_2_0_filter_2(sK39,X0)
| ~ l3_lattices(sK39) ),
inference(forward_subsumption_resolution,[],[f28600,f19867]) ).
fof(f28602,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK39))
| k18_filter_2(sK39,X0) = a_2_0_filter_2(sK39,X0) ),
inference(forward_subsumption_resolution,[],[f28601,f19865]) ).
fof(f28603,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK39))
| v3_struct_0(sK39)
| k18_filter_2(sK39,X0) = k2_filter_2(k1_lattice2(sK39),k5_filter_2(sK39,X0))
| ~ l3_lattices(sK39) ),
inference(resolution,[],[f19831,f19866]) ).
fof(f28604,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK39))
| k18_filter_2(sK39,X0) = k2_filter_2(k1_lattice2(sK39),k5_filter_2(sK39,X0))
| ~ l3_lattices(sK39) ),
inference(forward_subsumption_resolution,[],[f28603,f19867]) ).
fof(f28605,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK39))
| k18_filter_2(sK39,X0) = k2_filter_2(k1_lattice2(sK39),k5_filter_2(sK39,X0)) ),
inference(forward_subsumption_resolution,[],[f28604,f19865]) ).
fof(f28618,plain,
k18_filter_2(sK39,sK40) = k2_filter_2(k1_lattice2(sK39),k5_filter_2(sK39,sK40)),
inference(resolution,[],[f28605,f19868]) ).
fof(f28619,plain,
k18_filter_2(sK39,sK40) = a_2_0_filter_2(sK39,sK40),
inference(resolution,[],[f28602,f19868]) ).
fof(f28620,plain,
~ r1_tarski(a_2_0_filter_2(sK39,sK40),k19_filter_2(sK39,sK41)),
inference(superposition,[],[f19872,f28619]) ).
fof(f28634,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK39)))
| v3_struct_0(sK39)
| k7_filter_2(sK39,X0) = X0
| ~ l3_lattices(sK39) ),
inference(resolution,[],[f19801,f19866]) ).
fof(f28635,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK39)))
| k7_filter_2(sK39,X0) = X0
| ~ l3_lattices(sK39) ),
inference(forward_subsumption_resolution,[],[f28634,f19867]) ).
fof(f28636,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK39)))
| k7_filter_2(sK39,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f28635,f19865]) ).
fof(f28649,plain,
( v3_struct_0(sK39)
| u1_struct_0(sK39) = u1_struct_0(k1_lattice2(sK39)) ),
inference(resolution,[],[f20004,f19865]) ).
fof(f28650,plain,
u1_struct_0(sK39) = u1_struct_0(k1_lattice2(sK39)),
inference(forward_subsumption_resolution,[],[f28649,f19867]) ).
fof(f28651,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK39)))
| v1_xboole_0(X0)
| k19_filter_2(sK39,X1) = k3_filter_2(k1_lattice2(sK39),k7_filter_2(sK39,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK39)))
| v3_struct_0(sK39)
| ~ v10_lattices(sK39)
| ~ l3_lattices(sK39) ),
inference(superposition,[],[f19861,f28650]) ).
fof(f28652,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK39)))
| v1_xboole_0(X0)
| k19_filter_2(sK39,X1) = k3_filter_2(k1_lattice2(sK39),k7_filter_2(sK39,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK39)))
| ~ v10_lattices(sK39)
| ~ l3_lattices(sK39) ),
inference(forward_subsumption_resolution,[],[f28651,f19867]) ).
fof(f28653,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK39)))
| v1_xboole_0(X0)
| k19_filter_2(sK39,X1) = k3_filter_2(k1_lattice2(sK39),k7_filter_2(sK39,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK39)))
| ~ l3_lattices(sK39) ),
inference(forward_subsumption_resolution,[],[f28652,f19866]) ).
fof(f28654,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK39)))
| v1_xboole_0(X0)
| k19_filter_2(sK39,X1) = k3_filter_2(k1_lattice2(sK39),k7_filter_2(sK39,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(forward_subsumption_resolution,[],[f28653,f19865]) ).
fof(f28656,definition,
( spl869_41
<=> ! [X1] :
( k19_filter_2(sK39,X1) = k3_filter_2(k1_lattice2(sK39),k7_filter_2(sK39,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK39)))
| v1_xboole_0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl869_41])],[avatar_definition]) ).
fof(f28657,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK39)))
| k19_filter_2(sK39,X1) = k3_filter_2(k1_lattice2(sK39),k7_filter_2(sK39,X1))
| v1_xboole_0(X1) )
| ~ spl869_41 ),
inference(avatar_component_clause,[],[f28656]) ).
fof(f28659,definition,
( spl869_42
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK39)))
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl869_42])],[avatar_definition]) ).
fof(f28660,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK39)))
| v1_xboole_0(X0) )
| ~ spl869_42 ),
inference(avatar_component_clause,[],[f28659]) ).
fof(f28661,plain,
( spl869_41
| spl869_42 ),
inference(avatar_split_clause,[],[f28654,f28659,f28656]) ).
fof(f28662,plain,
( k19_filter_2(sK39,sK41) = k3_filter_2(k1_lattice2(sK39),k7_filter_2(sK39,sK41))
| v1_xboole_0(sK41)
| ~ spl869_41 ),
inference(resolution,[],[f28657,f19869]) ).
fof(f28663,plain,
( k19_filter_2(sK39,sK41) = k3_filter_2(k1_lattice2(sK39),k7_filter_2(sK39,sK41))
| ~ spl869_41 ),
inference(forward_subsumption_resolution,[],[f28662,f19870]) ).
fof(f28666,plain,
( v3_struct_0(sK39)
| u1_struct_0(sK39) = k1_filter_0(sK39)
| ~ l3_lattices(sK39) ),
inference(resolution,[],[f19941,f19866]) ).
fof(f28667,plain,
( u1_struct_0(sK39) = k1_filter_0(sK39)
| ~ l3_lattices(sK39) ),
inference(forward_subsumption_resolution,[],[f28666,f19867]) ).
fof(f28668,plain,
u1_struct_0(sK39) = k1_filter_0(sK39),
inference(forward_subsumption_resolution,[],[f28667,f19865]) ).
fof(f28669,plain,
m1_subset_1(sK40,k1_filter_0(sK39)),
inference(superposition,[],[f19868,f28668]) ).
fof(f28670,plain,
m1_subset_1(sK41,k1_zfmisc_1(k1_filter_0(sK39))),
inference(superposition,[],[f19869,f28668]) ).
fof(f28688,plain,
sK41 = k7_filter_2(sK39,sK41),
inference(resolution,[],[f28636,f19869]) ).
fof(f28690,plain,
( k19_filter_2(sK39,sK41) = k3_filter_2(k1_lattice2(sK39),sK41)
| ~ spl869_41 ),
inference(superposition,[],[f28663,f28688]) ).
fof(f28758,plain,
( v3_struct_0(sK39)
| v10_lattices(k1_lattice2(sK39))
| ~ l3_lattices(sK39) ),
inference(resolution,[],[f20029,f19866]) ).
fof(f28759,plain,
( v10_lattices(k1_lattice2(sK39))
| ~ l3_lattices(sK39) ),
inference(forward_subsumption_resolution,[],[f28758,f19867]) ).
fof(f28760,plain,
v10_lattices(k1_lattice2(sK39)),
inference(forward_subsumption_resolution,[],[f28759,f19865]) ).
fof(f28761,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK39))
| k3_filter_0(k1_lattice2(sK39),X0) = k3_filter_2(k1_lattice2(sK39),X0)
| ~ l3_lattices(k1_lattice2(sK39))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK39)))) ),
inference(resolution,[],[f28760,f19700]) ).
fof(f28780,definition,
( spl869_47
<=> l3_lattices(k1_lattice2(sK39)) ),
introduced(definition,[new_symbols(definition,[spl869_47])],[avatar_definition]) ).
fof(f28781,plain,
( ~ l3_lattices(k1_lattice2(sK39))
| spl869_47 ),
inference(avatar_component_clause,[],[f28780]) ).
fof(f28786,definition,
( spl869_49
<=> v3_struct_0(k1_lattice2(sK39)) ),
introduced(definition,[new_symbols(definition,[spl869_49])],[avatar_definition]) ).
fof(f28787,plain,
( v3_struct_0(k1_lattice2(sK39))
| ~ spl869_49 ),
inference(avatar_component_clause,[],[f28786]) ).
fof(f28801,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK39)))
| v3_struct_0(k1_lattice2(sK39))
| k3_filter_0(k1_lattice2(sK39),X0) = k3_filter_2(k1_lattice2(sK39),X0)
| ~ l3_lattices(k1_lattice2(sK39))
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f28761,f28650]) ).
fof(f28816,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK39)))
| v3_struct_0(k1_lattice2(sK39))
| k3_filter_0(k1_lattice2(sK39),X0) = k3_filter_2(k1_lattice2(sK39),X0)
| ~ l3_lattices(k1_lattice2(sK39))
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f28801,f28668]) ).
fof(f28862,definition,
( spl869_60
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK39)))
| v1_xboole_0(X0)
| k3_filter_0(k1_lattice2(sK39),X0) = k3_filter_2(k1_lattice2(sK39),X0) ) ),
introduced(definition,[new_symbols(definition,[spl869_60])],[avatar_definition]) ).
fof(f28863,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK39)))
| v1_xboole_0(X0)
| k3_filter_0(k1_lattice2(sK39),X0) = k3_filter_2(k1_lattice2(sK39),X0) )
| ~ spl869_60 ),
inference(avatar_component_clause,[],[f28862]) ).
fof(f28864,plain,
( ~ spl869_47
| spl869_49
| spl869_60 ),
inference(avatar_split_clause,[],[f28816,f28862,f28786,f28780]) ).
fof(f28886,plain,
( ~ l3_lattices(sK39)
| spl869_47 ),
inference(resolution,[],[f28781,f20026]) ).
fof(f28888,plain,
( $false
| spl869_47 ),
inference(forward_subsumption_resolution,[],[f28886,f19865]) ).
fof(f28889,plain,
spl869_47,
inference(avatar_contradiction_clause,[],[f28888]) ).
fof(f28891,plain,
( v3_struct_0(sK39)
| ~ l3_lattices(sK39)
| ~ spl869_49 ),
inference(resolution,[],[f28787,f20039]) ).
fof(f28893,plain,
( ~ l3_lattices(sK39)
| ~ spl869_49 ),
inference(forward_subsumption_resolution,[],[f28891,f19867]) ).
fof(f28894,plain,
( $false
| ~ spl869_49 ),
inference(forward_subsumption_resolution,[],[f28893,f19865]) ).
fof(f28895,plain,
~ spl869_49,
inference(avatar_contradiction_clause,[],[f28894]) ).
fof(f28896,plain,
( v1_xboole_0(sK41)
| k3_filter_2(k1_lattice2(sK39),sK41) = k3_filter_0(k1_lattice2(sK39),sK41)
| ~ spl869_60 ),
inference(resolution,[],[f28863,f28670]) ).
fof(f28897,plain,
( k3_filter_2(k1_lattice2(sK39),sK41) = k3_filter_0(k1_lattice2(sK39),sK41)
| ~ spl869_60 ),
inference(forward_subsumption_resolution,[],[f28896,f19870]) ).
fof(f28898,plain,
( k19_filter_2(sK39,sK41) = k3_filter_0(k1_lattice2(sK39),sK41)
| ~ spl869_41
| ~ spl869_60 ),
inference(forward_demodulation,[],[f28897,f28690]) ).
fof(f28937,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK39))
| k2_filter_0(k1_lattice2(sK39),X0) = k2_filter_2(k1_lattice2(sK39),X0)
| ~ l3_lattices(k1_lattice2(sK39))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK39))) ),
inference(resolution,[],[f19698,f28760]) ).
fof(f28938,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK39))
| v3_struct_0(k1_lattice2(sK39))
| k2_filter_0(k1_lattice2(sK39),X0) = k2_filter_2(k1_lattice2(sK39),X0)
| ~ l3_lattices(k1_lattice2(sK39)) ),
inference(forward_demodulation,[],[f28937,f28650]) ).
fof(f28940,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK39))
| v3_struct_0(k1_lattice2(sK39))
| k2_filter_0(k1_lattice2(sK39),X0) = k2_filter_2(k1_lattice2(sK39),X0)
| ~ l3_lattices(k1_lattice2(sK39)) ),
inference(forward_demodulation,[],[f28938,f28668]) ).
fof(f28943,definition,
( spl869_68
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK39))
| k2_filter_0(k1_lattice2(sK39),X0) = k2_filter_2(k1_lattice2(sK39),X0) ) ),
introduced(definition,[new_symbols(definition,[spl869_68])],[avatar_definition]) ).
fof(f28944,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK39))
| k2_filter_0(k1_lattice2(sK39),X0) = k2_filter_2(k1_lattice2(sK39),X0) )
| ~ spl869_68 ),
inference(avatar_component_clause,[],[f28943]) ).
fof(f28945,plain,
( ~ spl869_47
| spl869_49
| spl869_68 ),
inference(avatar_split_clause,[],[f28940,f28943,f28786,f28780]) ).
fof(f28971,definition,
( spl869_71
<=> ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK39)))
| v1_xboole_0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl869_71])],[avatar_definition]) ).
fof(f28972,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK39)))
| v1_xboole_0(X1) )
| ~ spl869_71 ),
inference(avatar_component_clause,[],[f28971]) ).
fof(f28978,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK39),X0),k19_filter_2(sK39,sK41))
| ~ r2_hidden(X0,sK41)
| v1_xboole_0(sK41)
| ~ m1_subset_1(sK41,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK39))))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK39)))
| v3_struct_0(k1_lattice2(sK39))
| ~ v10_lattices(k1_lattice2(sK39))
| ~ l3_lattices(k1_lattice2(sK39)) )
| ~ spl869_41
| ~ spl869_60 ),
inference(superposition,[],[f19955,f28898]) ).
fof(f28979,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK39),X0),k19_filter_2(sK39,sK41))
| ~ r2_hidden(X0,sK41)
| v1_xboole_0(sK41)
| ~ m1_subset_1(sK41,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK39))))
| v3_struct_0(k1_lattice2(sK39))
| ~ v10_lattices(k1_lattice2(sK39))
| ~ l3_lattices(k1_lattice2(sK39)) )
| ~ spl869_41
| ~ spl869_60 ),
inference(forward_subsumption_resolution,[],[f28978,f19921]) ).
fof(f28980,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK39),X0),k19_filter_2(sK39,sK41))
| ~ r2_hidden(X0,sK41)
| ~ m1_subset_1(sK41,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK39))))
| v3_struct_0(k1_lattice2(sK39))
| ~ v10_lattices(k1_lattice2(sK39))
| ~ l3_lattices(k1_lattice2(sK39)) )
| ~ spl869_41
| ~ spl869_60 ),
inference(forward_subsumption_resolution,[],[f28979,f19898]) ).
fof(f28981,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK39),X0),k19_filter_2(sK39,sK41))
| ~ r2_hidden(X0,sK41)
| ~ m1_subset_1(sK41,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK39))))
| v3_struct_0(k1_lattice2(sK39))
| ~ l3_lattices(k1_lattice2(sK39)) )
| ~ spl869_41
| ~ spl869_60 ),
inference(forward_subsumption_resolution,[],[f28980,f28760]) ).
fof(f28982,plain,
( ! [X0] :
( ~ m1_subset_1(sK41,k1_zfmisc_1(u1_struct_0(sK39)))
| r1_tarski(k2_filter_0(k1_lattice2(sK39),X0),k19_filter_2(sK39,sK41))
| ~ r2_hidden(X0,sK41)
| v3_struct_0(k1_lattice2(sK39))
| ~ l3_lattices(k1_lattice2(sK39)) )
| ~ spl869_41
| ~ spl869_60 ),
inference(forward_demodulation,[],[f28981,f28650]) ).
fof(f28983,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK39),X0),k19_filter_2(sK39,sK41))
| ~ r2_hidden(X0,sK41)
| v3_struct_0(k1_lattice2(sK39))
| ~ l3_lattices(k1_lattice2(sK39)) )
| ~ spl869_41
| ~ spl869_60 ),
inference(forward_subsumption_resolution,[],[f28982,f19869]) ).
fof(f28985,definition,
( spl869_72
<=> ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK39),X0),k19_filter_2(sK39,sK41))
| ~ r2_hidden(X0,sK41) ) ),
introduced(definition,[new_symbols(definition,[spl869_72])],[avatar_definition]) ).
fof(f28986,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK39),X0),k19_filter_2(sK39,sK41))
| ~ r2_hidden(X0,sK41) )
| ~ spl869_72 ),
inference(avatar_component_clause,[],[f28985]) ).
fof(f28988,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK39)))
| v1_xboole_0(X0) )
| ~ spl869_42 ),
inference(forward_demodulation,[],[f28660,f28668]) ).
fof(f28989,plain,
( spl869_71
| ~ spl869_42 ),
inference(avatar_split_clause,[],[f28988,f28659,f28971]) ).
fof(f28991,plain,
( v1_xboole_0(sK41)
| ~ spl869_71 ),
inference(resolution,[],[f28972,f28670]) ).
fof(f28993,plain,
( $false
| ~ spl869_71 ),
inference(forward_subsumption_resolution,[],[f28991,f19870]) ).
fof(f28994,plain,
~ spl869_71,
inference(avatar_contradiction_clause,[],[f28993]) ).
fof(f28997,plain,
( ~ spl869_47
| spl869_49
| spl869_72
| ~ spl869_41
| ~ spl869_60 ),
inference(avatar_split_clause,[],[f28983,f28862,f28656,f28985,f28786,f28780]) ).
fof(f29243,plain,
( k2_filter_0(k1_lattice2(sK39),sK40) = k2_filter_2(k1_lattice2(sK39),sK40)
| ~ spl869_68 ),
inference(resolution,[],[f28944,f28669]) ).
fof(f29587,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK39))
| v3_struct_0(sK39)
| k5_filter_2(sK39,X0) = X0
| ~ l3_lattices(sK39) ),
inference(resolution,[],[f19787,f19866]) ).
fof(f29590,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK39))
| k5_filter_2(sK39,X0) = X0
| ~ l3_lattices(sK39) ),
inference(forward_subsumption_resolution,[],[f29587,f19867]) ).
fof(f29592,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK39))
| k5_filter_2(sK39,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f29590,f19865]) ).
fof(f29597,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK39))
| k5_filter_2(sK39,X0) = X0 ),
inference(forward_demodulation,[],[f29592,f28668]) ).
fof(f29598,plain,
sK40 = k5_filter_2(sK39,sK40),
inference(resolution,[],[f29597,f28669]) ).
fof(f29599,plain,
k18_filter_2(sK39,sK40) = k2_filter_2(k1_lattice2(sK39),sK40),
inference(superposition,[],[f28618,f29598]) ).
fof(f29600,plain,
a_2_0_filter_2(sK39,sK40) = k2_filter_2(k1_lattice2(sK39),sK40),
inference(forward_demodulation,[],[f29599,f28619]) ).
fof(f29602,plain,
( a_2_0_filter_2(sK39,sK40) = k2_filter_0(k1_lattice2(sK39),sK40)
| ~ spl869_68 ),
inference(superposition,[],[f29243,f29600]) ).
fof(f29603,plain,
( r1_tarski(a_2_0_filter_2(sK39,sK40),k19_filter_2(sK39,sK41))
| ~ r2_hidden(sK40,sK41)
| ~ spl869_68
| ~ spl869_72 ),
inference(superposition,[],[f28986,f29602]) ).
fof(f29610,plain,
( ~ r2_hidden(sK40,sK41)
| ~ spl869_68
| ~ spl869_72 ),
inference(forward_subsumption_resolution,[],[f29603,f28620]) ).
fof(f29614,plain,
( $false
| ~ spl869_68
| ~ spl869_72 ),
inference(forward_subsumption_resolution,[],[f29610,f19871]) ).
fof(f29615,plain,
( ~ spl869_68
| ~ spl869_72 ),
inference(avatar_contradiction_clause,[],[f29614]) ).
cnf(s35,plain,
( spl869_41
| spl869_42 ),
inference(sat_conversion,[],[f28661]) ).
cnf(s51,plain,
( ~ spl869_47
| spl869_49
| spl869_60 ),
inference(sat_conversion,[],[f28864]) ).
cnf(s57,plain,
spl869_47,
inference(sat_conversion,[],[f28889]) ).
cnf(s59,plain,
~ spl869_49,
inference(sat_conversion,[],[f28895]) ).
cnf(s63,plain,
( ~ spl869_47
| spl869_49
| spl869_68 ),
inference(sat_conversion,[],[f28945]) ).
cnf(s67,plain,
( ~ spl869_42
| spl869_71 ),
inference(sat_conversion,[],[f28989]) ).
cnf(s69,plain,
~ spl869_71,
inference(sat_conversion,[],[f28994]) ).
cnf(s70,plain,
( ~ spl869_41
| ~ spl869_47
| spl869_49
| ~ spl869_60
| spl869_72 ),
inference(sat_conversion,[],[f28997]) ).
cnf(s125,plain,
( ~ spl869_68
| ~ spl869_72 ),
inference(sat_conversion,[],[f29615]) ).
cnf(s131,plain,
~ spl869_42,
inference(rat,[],[s67,s69]) ).
cnf(s141,plain,
spl869_68,
inference(rat,[],[s63,s59,s57]) ).
cnf(s143,plain,
~ spl869_72,
inference(rat,[],[s125,s141]) ).
cnf(s151,plain,
spl869_60,
inference(rat,[],[s51,s59,s57]) ).
cnf(s152,plain,
~ spl869_41,
inference(rat,[],[s70,s143,s57,s59,s151]) ).
cnf(s172,plain,
$false,
inference(rat,[],[s35,s131,s152]) ).
fof(f29635,plain,
$false,
inference(avatar_sat_refutation,[],[s172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT311+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 % Computer : n012.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sun Sep 27 14:28:52 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.06/2.24 % (2435259)Detected formulas, will run a generic FOF schedule.
% 10.06/2.24 % (2435266)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=1732391683:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 10.06/2.24 % (2435270)dis-21_1_sil=8000:lcm=predicate:random_seed=2036498175:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 10.06/2.24 % (2435267)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4035865065:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 10.06/2.24 % (2435268)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1265252841:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 10.06/2.24 % (2435265)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=309843840:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 10.06/2.24 % (2435269)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=356394762:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 10.06/2.24 % (2435264)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=2528547266:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 10.06/2.24 % (2435269)Instruction limit reached!
% 10.06/2.24 % (2435269)------------------------------
% 10.06/2.24 % (2435269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.06/2.24 % (2435269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/2.24 % (2435269)CaDiCaL version: 2.1.3
% 10.06/2.24 % (2435269)Termination reason: Instruction limit
% 10.06/2.24 % (2435269)Termination phase: Property scanning
% 10.06/2.24 % (2435269)Time elapsed: 0.031 s
% 10.06/2.24 % (2435269)Peak memory usage: 102 MB
% 10.06/2.24 % (2435269)Instructions burned: 143 (million)
% 10.06/2.24 % (2435267)Instruction limit reached!
% 10.06/2.24 % (2435267)------------------------------
% 10.06/2.24 % (2435267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.06/2.24 % (2435267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/2.24 % (2435267)CaDiCaL version: 2.1.3
% 10.06/2.24 % (2435267)Termination reason: Instruction limit
% 10.06/2.24 % (2435267)Termination phase: Saturation
% 10.06/2.24 % (2435267)Time elapsed: 0.048 s
% 10.06/2.24 % (2435267)Peak memory usage: 107 MB
% 10.06/2.24 % (2435267)Instructions burned: 109 (million)
% 10.06/2.24 % (2435268)Instruction limit reached!
% 10.06/2.24 % (2435268)------------------------------
% 10.06/2.24 % (2435268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.06/2.24 % (2435268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/2.24 % (2435268)CaDiCaL version: 2.1.3
% 10.06/2.24 % (2435268)Termination reason: Instruction limit
% 10.06/2.24 % (2435268)Termination phase: Property scanning
% 10.06/2.24 % (2435268)Time elapsed: 0.054 s
% 10.06/2.24 % (2435268)Peak memory usage: 105 MB
% 10.06/2.24 % (2435268)Instructions burned: 125 (million)
% 10.06/2.24 % (2435270)Instruction limit reached!
% 10.06/2.24 % (2435270)------------------------------
% 10.06/2.24 % (2435270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.06/2.24 % (2435270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/2.24 % (2435270)CaDiCaL version: 2.1.3
% 10.06/2.24 % (2435270)Termination reason: Instruction limit
% 10.06/2.24 % (2435270)Termination phase: Preprocessing 1
% 10.06/2.24 % (2435270)Time elapsed: 0.056 s
% 10.06/2.24 % (2435270)Peak memory usage: 103 MB
% 10.06/2.24 % (2435270)Instructions burned: 130 (million)
% 10.06/2.24 % (2435278)lrs+10_1_sil=8000:sp=occurrence:random_seed=344307890:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 10.06/2.24 % (2435280)lrs+1011_1_sil=32000:sp=occurrence:random_seed=496450579:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.06/2.24 % (2435281)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=2184643033:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.06/2.24 % (2435279)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2691834649:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.06/2.24 % (2435279)Instruction limit reached!
% 10.93/2.63 % (2435279)------------------------------
% 10.93/2.63 % (2435279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435279)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435279)Termination reason: Instruction limit
% 10.93/2.63 % (2435279)Termination phase: Property scanning
% 10.93/2.63 % (2435279)Time elapsed: 0.037 s
% 10.93/2.63 % (2435279)Peak memory usage: 102 MB
% 10.93/2.63 % (2435279)Instructions burned: 160 (million)
% 10.93/2.63 % (2435281)Instruction limit reached!
% 10.93/2.63 % (2435281)------------------------------
% 10.93/2.63 % (2435281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435281)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435281)Termination reason: Instruction limit
% 10.93/2.63 % (2435281)Termination phase: SInE selection
% 10.93/2.63 % (2435281)Time elapsed: 0.070 s
% 10.93/2.63 % (2435281)Peak memory usage: 103 MB
% 10.93/2.63 % (2435281)Instructions burned: 251 (million)
% 10.93/2.63 % (2435278)Instruction limit reached!
% 10.93/2.63 % (2435278)------------------------------
% 10.93/2.63 % (2435278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435278)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435278)Termination reason: Instruction limit
% 10.93/2.63 % (2435278)Termination phase: Saturation
% 10.93/2.63 % (2435278)Time elapsed: 0.112 s
% 10.93/2.63 % (2435278)Peak memory usage: 109 MB
% 10.93/2.63 % (2435278)Instructions burned: 286 (million)
% 10.93/2.63 % (2435280)Instruction limit reached!
% 10.93/2.63 % (2435280)------------------------------
% 10.93/2.63 % (2435280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435280)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435280)Termination reason: Instruction limit
% 10.93/2.63 % (2435280)Termination phase: Saturation
% 10.93/2.63 % (2435280)Time elapsed: 0.130 s
% 10.93/2.63 % (2435280)Peak memory usage: 108 MB
% 10.93/2.63 % (2435280)Instructions burned: 327 (million)
% 10.93/2.63 % (2435286)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1806680710:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 10.93/2.63 % (2435287)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2051800059:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.93/2.63 % (2435288)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=797230774:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 10.93/2.63 % (2435289)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3158868411:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.93/2.63 % (2435288)Instruction limit reached!
% 10.93/2.63 % (2435288)------------------------------
% 10.93/2.63 % (2435288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435288)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435288)Termination reason: Instruction limit
% 10.93/2.63 % (2435288)Termination phase: Preprocessing 3
% 10.93/2.63 % (2435288)Time elapsed: 0.058 s
% 10.93/2.63 % (2435288)Peak memory usage: 105 MB
% 10.93/2.63 % (2435288)Instructions burned: 115 (million)
% 10.93/2.63 % (2435286)Instruction limit reached!
% 10.93/2.63 % (2435286)------------------------------
% 10.93/2.63 % (2435286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435286)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435286)Termination reason: Instruction limit
% 10.93/2.63 % (2435286)Termination phase: Saturation
% 10.93/2.63 % (2435286)Time elapsed: 0.111 s
% 10.93/2.63 % (2435286)Peak memory usage: 109 MB
% 10.93/2.63 % (2435286)Instructions burned: 295 (million)
% 10.93/2.63 % (2435289)Instruction limit reached!
% 10.93/2.63 % (2435289)------------------------------
% 10.93/2.63 % (2435289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435289)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435289)Termination reason: Instruction limit
% 10.93/2.63 % (2435289)Termination phase: Preprocessing 2
% 10.93/2.63 % (2435289)Time elapsed: 0.064 s
% 10.93/2.63 % (2435289)Peak memory usage: 106 MB
% 10.93/2.63 % (2435289)Instructions burned: 127 (million)
% 10.93/2.63 % (2435294)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4176957428:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 10.93/2.63 % (2435295)lrs+10_1_sil=8000:sp=occurrence:random_seed=1916876374:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 10.93/2.63 % (2435294)Instruction limit reached!
% 10.93/2.63 % (2435294)------------------------------
% 10.93/2.63 % (2435294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435294)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435294)Termination reason: Instruction limit
% 10.93/2.63 % (2435294)Termination phase: Property scanning
% 10.93/2.63 % (2435294)Time elapsed: 0.027 s
% 10.93/2.63 % (2435294)Peak memory usage: 102 MB
% 10.93/2.63 % (2435294)Instructions burned: 115 (million)
% 10.93/2.63 % (2435296)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1095892186:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 10.93/2.63 % (2435299)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2350172662:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 10.93/2.63 % (2435296)Instruction limit reached!
% 10.93/2.63 % (2435296)------------------------------
% 10.93/2.63 % (2435296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435296)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435296)Termination reason: Instruction limit
% 10.93/2.63 % (2435296)Termination phase: Saturation
% 10.93/2.63 % (2435296)Time elapsed: 0.153 s
% 10.93/2.63 % (2435296)Peak memory usage: 110 MB
% 10.93/2.63 % (2435296)Instructions burned: 440 (million)
% 10.93/2.63 % (2435302)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3127855892:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.93/2.63 % (2435295)Instruction limit reached!
% 10.93/2.63 % (2435295)------------------------------
% 10.93/2.63 % (2435295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435295)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435295)Termination reason: Instruction limit
% 10.93/2.63 % (2435295)Termination phase: Saturation
% 10.93/2.63 % (2435295)Time elapsed: 0.336 s
% 10.93/2.63 % (2435295)Peak memory usage: 121 MB
% 10.93/2.63 % (2435295)Instructions burned: 907 (million)
% 10.93/2.63 % (2435302)Instruction limit reached!
% 10.93/2.63 % (2435302)------------------------------
% 10.93/2.63 % (2435302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435302)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435302)Termination reason: Instruction limit
% 10.93/2.63 % (2435302)Termination phase: Property scanning
% 10.93/2.63 % (2435302)Time elapsed: 0.059 s
% 10.93/2.63 % (2435302)Peak memory usage: 106 MB
% 10.93/2.63 % (2435302)Instructions burned: 135 (million)
% 10.93/2.63 % (2435304)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=235592145:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.93/2.63 % (2435305)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1283383727:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 10.93/2.63 % (2435287)Instruction limit reached!
% 10.93/2.63 % (2435287)------------------------------
% 10.93/2.63 % (2435287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435287)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435287)Termination reason: Instruction limit
% 10.93/2.63 % (2435287)Termination phase: Saturation
% 10.93/2.63 % (2435287)Time elapsed: 0.861 s
% 10.93/2.63 % (2435287)Peak memory usage: 238 MB
% 10.93/2.63 % (2435287)Instructions burned: 2351 (million)
% 10.93/2.63 % (2435304)Instruction limit reached!
% 10.93/2.63 % (2435304)------------------------------
% 10.93/2.63 % (2435304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435304)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435304)Termination reason: Instruction limit
% 10.93/2.63 % (2435304)Termination phase: Property scanning
% 10.93/2.63 % (2435304)Time elapsed: 0.240 s
% 10.93/2.63 % (2435304)Peak memory usage: 122 MB
% 10.93/2.63 % (2435304)Instructions burned: 593 (million)
% 10.93/2.63 % (2435308)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=847327133:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 10.93/2.63 % (2435308)Instruction limit reached!
% 10.93/2.63 % (2435308)------------------------------
% 10.93/2.63 % (2435308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435308)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435308)Termination reason: Instruction limit
% 10.93/2.63 % (2435308)Termination phase: Property scanning
% 10.93/2.63 % (2435308)Time elapsed: 0.030 s
% 10.93/2.63 % (2435308)Peak memory usage: 102 MB
% 10.93/2.63 % (2435308)Instructions burned: 128 (million)
% 10.93/2.63 % (2435309)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=635668907:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 10.93/2.63 % (2435309)Instruction limit reached!
% 10.93/2.63 % (2435309)------------------------------
% 10.93/2.63 % (2435309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435309)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435309)Termination reason: Instruction limit
% 10.93/2.63 % (2435309)Termination phase: Property scanning
% 10.93/2.63 % (2435309)Time elapsed: 0.032 s
% 10.93/2.63 % (2435309)Peak memory usage: 102 MB
% 10.93/2.63 % (2435309)Instructions burned: 135 (million)
% 10.93/2.63 % (2435265)First to succeed.
% 10.93/2.63 % (2435265)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2435259"
% 10.93/2.63 % (2435311)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2969893357:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 10.93/2.63 % (2435313)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4201001617:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 10.93/2.63 % (2435311)Instruction limit reached!
% 10.93/2.63 % (2435311)------------------------------
% 10.93/2.63 % (2435311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.63 % (2435311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.63 % (2435311)CaDiCaL version: 2.1.3
% 10.93/2.63 % (2435311)Termination reason: Instruction limit
% 10.93/2.63 % (2435311)Termination phase: Saturation
% 10.93/2.63 % (2435311)Time elapsed: 0.069 s
% 10.93/2.63 % (2435311)Peak memory usage: 108 MB
% 10.93/2.63 % (2435311)Instructions burned: 142 (million)
% 10.93/2.63 % (2435265)Refutation found. Thanks to Tanya!
% 10.93/2.63 % SZS status Theorem for theBenchmark
% 10.93/2.63 % SZS output start Proof for theBenchmark
% See solution above
% 13.11/2.72 % (2435265)------------------------------
% 13.11/2.72 % (2435265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.11/2.72 % (2435265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.11/2.72 % (2435265)CaDiCaL version: 2.1.3
% 13.11/2.72 % (2435265)Termination reason: Refutation
% 13.11/2.72 % (2435265)Time elapsed: 1.471 s
% 13.11/2.72 % (2435265)Peak memory usage: 231 MB
% 13.11/2.72 % (2435265)Instructions burned: 4144 (million)
% 13.11/2.72 % (2435265)------------------------------
% 13.11/2.72 % (2435265)------------------------------
% 13.11/2.72 % (2435259)Success in time 2.086 s
% 13.11/2.72 % Vampire exiting
%------------------------------------------------------------------------------