%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT330+3 : 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 : n026.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 11:47:01 AM UTC 2026
% Result : Theorem 36.21s 6.59s
% Output : Refutation 36.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 38
% Syntax : Number of formulae : 311 ( 29 unt; 11 def)
% Number of atoms : 1522 ( 65 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 2055 ( 844 ~; 982 |; 158 &)
% ( 25 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 11 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 335 ( 0 sgn 329 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f678,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f6723,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k4_lattices(X0,k5_lattices(X0),X1) = k5_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_lattices) ).
fof(f6724,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r3_lattices(X0,k5_lattices(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_lattices) ).
fof(f6742,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f6757,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_lattices(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f8588,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f8673,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f8676,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_filter_0(k2_filter_0(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f12317,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(f13533,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(f13537,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f13540,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_filter_2(k2_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_filter_2) ).
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/sandbox2/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f13572,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k22_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/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f13601,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f13615,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_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/sandbox2/benchmark/theBenchmark.p',t30_filter_2) ).
fof(f13617,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_filter_2) ).
fof(f13659,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_filter_2) ).
fof(f13663,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( v13_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t67_filter_2) ).
fof(f13664,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( v13_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f13663]) ).
fof(f13861,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1))
& v13_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f13664]) ).
fof(f13862,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1))
& v13_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f13861]) ).
fof(f13864,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(f13865,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f13864]) ).
fof(f13915,plain,
! [X0] :
( ! [X1] :
( r3_lattices(X0,k5_lattices(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6724]) ).
fof(f13916,plain,
! [X0] :
( ! [X1] :
( r3_lattices(X0,k5_lattices(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13915]) ).
fof(f13917,plain,
! [X0] :
( ! [X1] :
( k4_lattices(X0,k5_lattices(X0),X1) = k5_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6723]) ).
fof(f13918,plain,
! [X0] :
( ! [X1] :
( k4_lattices(X0,k5_lattices(X0),X1) = k5_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13917]) ).
fof(f13952,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f13537]) ).
fof(f13953,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,[],[f13952]) ).
fof(f13978,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f6757]) ).
fof(f13979,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f13978]) ).
fof(f13988,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
| ~ m1_subset_1(X2,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,[],[f13617]) ).
fof(f13989,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13988]) ).
fof(f13990,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(f13991,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,[],[f13990]) ).
fof(f13992,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,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,[],[f13615]) ).
fof(f13993,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13992]) ).
fof(f14000,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,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,[],[f13659]) ).
fof(f14001,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14000]) ).
fof(f14002,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f13572]) ).
fof(f14003,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f14002]) ).
fof(f14017,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f14081,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,[],[f13533]) ).
fof(f14082,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,[],[f14081]) ).
fof(f14114,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(f14115,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,[],[f14114]) ).
fof(f14523,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f14532,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(f14533,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,[],[f14532]) ).
fof(f14534,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(f14535,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14534]) ).
fof(f14741,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6742]) ).
fof(f14887,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8673]) ).
fof(f14888,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,[],[f14887]) ).
fof(f14889,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8588]) ).
fof(f14890,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14889]) ).
fof(f14967,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f8676]) ).
fof(f14968,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f14967]) ).
fof(f14981,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(f14982,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,[],[f14981]) ).
fof(f14983,plain,
! [X0,X1] :
( m1_filter_2(k2_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f13540]) ).
fof(f14984,plain,
! [X0,X1] :
( m1_filter_2(k2_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f14983]) ).
fof(f14995,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(f14996,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,[],[f14995]) ).
fof(f15003,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,[],[f12317]) ).
fof(f15004,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,[],[f15003]) ).
fof(f18429,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13601]) ).
fof(f18430,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f18429]) ).
fof(f18475,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)) )
| ~ sP19(X0) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f18476,plain,
! [X0] :
( sP19(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f14533,f18475]) ).
fof(f18618,plain,
( ~ r1_filter_2(u1_struct_0(sK101),k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102))
& v13_lattices(sK101)
& m1_subset_1(sK102,u1_struct_0(sK101))
& ~ v3_struct_0(sK101)
& v10_lattices(sK101)
& l3_lattices(sK101) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK101,sK102]),skolemize(X0,sK101),skolemize(X1,sK102)],[f13862]) ).
fof(f18657,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,[],[f13953]) ).
fof(f18663,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X1,k18_filter_2(X0,X2))
| ~ r3_lattices(X0,X1,X2) )
& ( r3_lattices(X0,X1,X2)
| ~ r2_hidden(X1,k18_filter_2(X0,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13993]) ).
fof(f18664,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2) )
& ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f14001]) ).
fof(f18665,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2) )
& ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f18664]) ).
fof(f18676,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f14017]) ).
fof(f18677,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f18676]) ).
fof(f18678,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK128(X0,X1),X1)
& r2_hidden(sK128(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK128]),skolemize(X2,sK128(X0,X1))],[f18677]) ).
fof(f18833,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)) )
| ~ sP19(X0) ),
inference(nnf_transformation,[],[f18475]) ).
fof(f18973,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f18974,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f18973]) ).
fof(f20286,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f18430]) ).
fof(f20289,plain,
l3_lattices(sK101),
inference(cnf_transformation,[],[f18618]) ).
fof(f20290,plain,
v10_lattices(sK101),
inference(cnf_transformation,[],[f18618]) ).
fof(f20291,plain,
~ v3_struct_0(sK101),
inference(cnf_transformation,[],[f18618]) ).
fof(f20292,plain,
m1_subset_1(sK102,u1_struct_0(sK101)),
inference(cnf_transformation,[],[f18618]) ).
fof(f20293,plain,
v13_lattices(sK101),
inference(cnf_transformation,[],[f18618]) ).
fof(f20294,plain,
~ r1_filter_2(u1_struct_0(sK101),k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102)),
inference(cnf_transformation,[],[f18618]) ).
fof(f20296,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f13865]) ).
fof(f20370,plain,
! [X0,X1] :
( r3_lattices(X0,k5_lattices(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13916]) ).
fof(f20371,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_lattices(X0) = k4_lattices(X0,k5_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13918]) ).
fof(f20427,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,[],[f18657]) ).
fof(f20447,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f13979]) ).
fof(f20453,plain,
! [X2,X0,X1] :
( r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1))
| ~ m1_subset_1(X2,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,[],[f13989]) ).
fof(f20457,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,[],[f13991]) ).
fof(f20458,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,k18_filter_2(X0,X2))
| r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,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,[],[f18663]) ).
fof(f20459,plain,
! [X2,X0,X1] :
( r2_hidden(X1,k18_filter_2(X0,X2))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,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,[],[f18663]) ).
fof(f20464,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k22_filter_2(X0,X1,X2))
| r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,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,[],[f18665]) ).
fof(f20466,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,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,[],[f18665]) ).
fof(f20467,plain,
! [X2,X0,X1] :
( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f14003]) ).
fof(f20491,plain,
! [X0,X1] :
( r2_hidden(sK128(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f18678]) ).
fof(f20492,plain,
! [X0,X1] :
( ~ r2_hidden(sK128(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f18678]) ).
fof(f20594,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14082]) ).
fof(f20629,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14115]) ).
fof(f21283,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14523]) ).
fof(f21290,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f18833]) ).
fof(f21299,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP19(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f18476]) ).
fof(f21301,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14535]) ).
fof(f21614,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f14741]) ).
fof(f21802,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f18974]) ).
fof(f21827,plain,
! [X0,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(cnf_transformation,[],[f14888]) ).
fof(f21828,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,[],[f14888]) ).
fof(f21829,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14890]) ).
fof(f21943,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f14968]) ).
fof(f21953,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,[],[f14982]) ).
fof(f21954,plain,
! [X0,X1] :
( m1_filter_2(k2_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f14984]) ).
fof(f21968,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,[],[f14996]) ).
fof(f21973,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,[],[f15004]) ).
fof(f26789,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,k1_lattice2(X0))
| m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20286]) ).
fof(f27684,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f20427]) ).
fof(f28299,plain,
! [X2,X0] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r1_filter_2(X0,X2,X2) ),
inference(duplicate_literal_removal,[],[f27684]) ).
fof(f28746,plain,
( k18_filter_2(sK101,sK102) = k2_filter_2(k1_lattice2(sK101),k5_filter_2(sK101,sK102))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) ),
inference(resolution,[],[f20457,f20292]) ).
fof(f28762,plain,
( v3_struct_0(sK101)
| u1_struct_0(sK101) = u1_struct_0(k1_lattice2(sK101)) ),
inference(resolution,[],[f20629,f20289]) ).
fof(f28763,plain,
u1_struct_0(sK101) = u1_struct_0(k1_lattice2(sK101)),
inference(forward_subsumption_resolution,[],[f28762,f20291]) ).
fof(f28776,definition,
( spl975_36
<=> v3_struct_0(k1_lattice2(sK101)) ),
introduced(definition,[new_symbols(definition,[spl975_36])],[avatar_definition]) ).
fof(f28777,plain,
( ~ v3_struct_0(k1_lattice2(sK101))
| spl975_36 ),
inference(avatar_component_clause,[],[f28776]) ).
fof(f28778,plain,
( v3_struct_0(k1_lattice2(sK101))
| ~ spl975_36 ),
inference(avatar_component_clause,[],[f28776]) ).
fof(f28809,plain,
l1_lattices(sK101),
inference(resolution,[],[f21614,f20289]) ).
fof(f28825,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK101))
| v3_struct_0(k1_lattice2(sK101))
| ~ v10_lattices(k1_lattice2(sK101))
| ~ l3_lattices(k1_lattice2(sK101))
| k2_filter_0(k1_lattice2(sK101),X0) = k2_filter_2(k1_lattice2(sK101),X0) ),
inference(superposition,[],[f21953,f28763]) ).
fof(f28832,plain,
( v3_struct_0(sK101)
| sP19(sK101)
| ~ l3_lattices(sK101) ),
inference(resolution,[],[f21299,f20290]) ).
fof(f28837,plain,
( sP19(sK101)
| ~ l3_lattices(sK101) ),
inference(forward_subsumption_resolution,[],[f28832,f20291]) ).
fof(f28838,plain,
sP19(sK101),
inference(forward_subsumption_resolution,[],[f28837,f20289]) ).
fof(f28843,plain,
! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f28299,f21973]) ).
fof(f28852,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,[],[f21828,f21829]) ).
fof(f28853,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f28852]) ).
fof(f28856,plain,
( k5_lattices(sK101) = k4_lattices(sK101,k5_lattices(sK101),sK102)
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ v13_lattices(sK101)
| ~ l3_lattices(sK101) ),
inference(resolution,[],[f20371,f20292]) ).
fof(f28931,plain,
( k18_filter_2(sK101,sK102) = k2_filter_2(k1_lattice2(sK101),k5_filter_2(sK101,sK102))
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) ),
inference(forward_subsumption_resolution,[],[f28746,f20291]) ).
fof(f28937,definition,
( spl975_40
<=> l3_lattices(k1_lattice2(sK101)) ),
introduced(definition,[new_symbols(definition,[spl975_40])],[avatar_definition]) ).
fof(f28938,plain,
( l3_lattices(k1_lattice2(sK101))
| ~ spl975_40 ),
inference(avatar_component_clause,[],[f28937]) ).
fof(f28939,plain,
( ~ l3_lattices(k1_lattice2(sK101))
| spl975_40 ),
inference(avatar_component_clause,[],[f28937]) ).
fof(f28941,definition,
( spl975_41
<=> v10_lattices(k1_lattice2(sK101)) ),
introduced(definition,[new_symbols(definition,[spl975_41])],[avatar_definition]) ).
fof(f28942,plain,
( v10_lattices(k1_lattice2(sK101))
| ~ spl975_41 ),
inference(avatar_component_clause,[],[f28941]) ).
fof(f28943,plain,
( ~ v10_lattices(k1_lattice2(sK101))
| spl975_41 ),
inference(avatar_component_clause,[],[f28941]) ).
fof(f28992,definition,
( spl975_53
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK101))
| k2_filter_0(k1_lattice2(sK101),X0) = k2_filter_2(k1_lattice2(sK101),X0) ) ),
introduced(definition,[new_symbols(definition,[spl975_53])],[avatar_definition]) ).
fof(f28993,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK101))
| k2_filter_0(k1_lattice2(sK101),X0) = k2_filter_2(k1_lattice2(sK101),X0) )
| ~ spl975_53 ),
inference(avatar_component_clause,[],[f28992]) ).
fof(f28994,plain,
( ~ spl975_40
| ~ spl975_41
| spl975_36
| spl975_53 ),
inference(avatar_split_clause,[],[f28825,f28992,f28776,f28941,f28937]) ).
fof(f29017,plain,
( k5_lattices(sK101) = k4_lattices(sK101,k5_lattices(sK101),sK102)
| ~ v10_lattices(sK101)
| ~ v13_lattices(sK101)
| ~ l3_lattices(sK101) ),
inference(forward_subsumption_resolution,[],[f28856,f20291]) ).
fof(f29044,plain,
( k18_filter_2(sK101,sK102) = k2_filter_2(k1_lattice2(sK101),k5_filter_2(sK101,sK102))
| ~ l3_lattices(sK101) ),
inference(forward_subsumption_resolution,[],[f28931,f20290]) ).
fof(f29052,plain,
( k5_lattices(sK101) = k4_lattices(sK101,k5_lattices(sK101),sK102)
| ~ v13_lattices(sK101)
| ~ l3_lattices(sK101) ),
inference(forward_subsumption_resolution,[],[f29017,f20290]) ).
fof(f29064,plain,
k18_filter_2(sK101,sK102) = k2_filter_2(k1_lattice2(sK101),k5_filter_2(sK101,sK102)),
inference(forward_subsumption_resolution,[],[f29044,f20289]) ).
fof(f29069,plain,
( k5_lattices(sK101) = k4_lattices(sK101,k5_lattices(sK101),sK102)
| ~ l3_lattices(sK101) ),
inference(forward_subsumption_resolution,[],[f29052,f20293]) ).
fof(f29074,definition,
( spl975_61
<=> m2_filter_2(k18_filter_2(sK101,sK102),sK101) ),
introduced(definition,[new_symbols(definition,[spl975_61])],[avatar_definition]) ).
fof(f29075,plain,
( m2_filter_2(k18_filter_2(sK101,sK102),sK101)
| ~ spl975_61 ),
inference(avatar_component_clause,[],[f29074]) ).
fof(f29086,definition,
( spl975_64
<=> r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102)) ),
introduced(definition,[new_symbols(definition,[spl975_64])],[avatar_definition]) ).
fof(f29087,plain,
( r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102))
| ~ spl975_64 ),
inference(avatar_component_clause,[],[f29086]) ).
fof(f29088,plain,
( ~ r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102))
| spl975_64 ),
inference(avatar_component_clause,[],[f29086]) ).
fof(f29094,plain,
k5_lattices(sK101) = k4_lattices(sK101,k5_lattices(sK101),sK102),
inference(forward_subsumption_resolution,[],[f29069,f20289]) ).
fof(f29122,plain,
( ~ l3_lattices(sK101)
| spl975_40 ),
inference(resolution,[],[f28939,f21283]) ).
fof(f29123,plain,
( $false
| spl975_40 ),
inference(forward_subsumption_resolution,[],[f29122,f20289]) ).
fof(f29124,plain,
spl975_40,
inference(avatar_contradiction_clause,[],[f29123]) ).
fof(f29136,plain,
( v3_struct_0(sK101)
| ~ l3_lattices(sK101)
| ~ spl975_36 ),
inference(resolution,[],[f28778,f21301]) ).
fof(f29137,plain,
( ~ l3_lattices(sK101)
| ~ spl975_36 ),
inference(forward_subsumption_resolution,[],[f29136,f20291]) ).
fof(f29138,plain,
( $false
| ~ spl975_36 ),
inference(forward_subsumption_resolution,[],[f29137,f20289]) ).
fof(f29139,plain,
~ spl975_36,
inference(avatar_contradiction_clause,[],[f29138]) ).
fof(f29142,plain,
( ~ sP19(sK101)
| spl975_41 ),
inference(resolution,[],[f28943,f21290]) ).
fof(f29143,plain,
( $false
| spl975_41 ),
inference(forward_subsumption_resolution,[],[f29142,f28838]) ).
fof(f29144,plain,
spl975_41,
inference(avatar_contradiction_clause,[],[f29143]) ).
fof(f29189,plain,
( r2_hidden(k5_lattices(sK101),k18_filter_2(sK101,sK102))
| ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| ~ m1_subset_1(sK102,u1_struct_0(sK101))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) ),
inference(superposition,[],[f20453,f29094]) ).
fof(f29191,plain,
( r2_hidden(k5_lattices(sK101),k18_filter_2(sK101,sK102))
| ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) ),
inference(forward_subsumption_resolution,[],[f29189,f20292]) ).
fof(f29192,plain,
( r2_hidden(k5_lattices(sK101),k18_filter_2(sK101,sK102))
| ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) ),
inference(forward_subsumption_resolution,[],[f29191,f20291]) ).
fof(f29193,plain,
( r2_hidden(k5_lattices(sK101),k18_filter_2(sK101,sK102))
| ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| ~ l3_lattices(sK101) ),
inference(forward_subsumption_resolution,[],[f29192,f20290]) ).
fof(f29194,plain,
( r2_hidden(k5_lattices(sK101),k18_filter_2(sK101,sK102))
| ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101)) ),
inference(forward_subsumption_resolution,[],[f29193,f20289]) ).
fof(f29196,definition,
( spl975_69
<=> m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101)) ),
introduced(definition,[new_symbols(definition,[spl975_69])],[avatar_definition]) ).
fof(f29197,plain,
( m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| ~ spl975_69 ),
inference(avatar_component_clause,[],[f29196]) ).
fof(f29198,plain,
( ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| spl975_69 ),
inference(avatar_component_clause,[],[f29196]) ).
fof(f29200,definition,
( spl975_70
<=> r2_hidden(k5_lattices(sK101),k18_filter_2(sK101,sK102)) ),
introduced(definition,[new_symbols(definition,[spl975_70])],[avatar_definition]) ).
fof(f29202,plain,
( r2_hidden(k5_lattices(sK101),k18_filter_2(sK101,sK102))
| ~ spl975_70 ),
inference(avatar_component_clause,[],[f29200]) ).
fof(f29203,plain,
( ~ spl975_69
| spl975_70 ),
inference(avatar_split_clause,[],[f29194,f29200,f29196]) ).
fof(f29204,plain,
( v3_struct_0(sK101)
| ~ l1_lattices(sK101)
| spl975_69 ),
inference(resolution,[],[f29198,f20447]) ).
fof(f29205,plain,
( ~ l1_lattices(sK101)
| spl975_69 ),
inference(forward_subsumption_resolution,[],[f29204,f20291]) ).
fof(f29206,plain,
( $false
| spl975_69 ),
inference(forward_subsumption_resolution,[],[f29205,f28809]) ).
fof(f29207,plain,
spl975_69,
inference(avatar_contradiction_clause,[],[f29206]) ).
fof(f29216,plain,
( r3_lattices(sK101,k5_lattices(sK101),sK102)
| ~ m1_subset_1(sK102,u1_struct_0(sK101))
| ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101)
| ~ spl975_70 ),
inference(resolution,[],[f29202,f20458]) ).
fof(f29217,plain,
( r3_lattices(sK101,k5_lattices(sK101),sK102)
| ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101)
| ~ spl975_70 ),
inference(forward_subsumption_resolution,[],[f29216,f20292]) ).
fof(f29221,plain,
( r3_lattices(sK101,k5_lattices(sK101),sK102)
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101)
| ~ spl975_69
| ~ spl975_70 ),
inference(forward_subsumption_resolution,[],[f29217,f29197]) ).
fof(f29225,plain,
( r3_lattices(sK101,k5_lattices(sK101),sK102)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101)
| ~ spl975_69
| ~ spl975_70 ),
inference(forward_subsumption_resolution,[],[f29221,f20291]) ).
fof(f29229,plain,
( r3_lattices(sK101,k5_lattices(sK101),sK102)
| ~ l3_lattices(sK101)
| ~ spl975_69
| ~ spl975_70 ),
inference(forward_subsumption_resolution,[],[f29225,f20290]) ).
fof(f29233,plain,
( r3_lattices(sK101,k5_lattices(sK101),sK102)
| ~ spl975_69
| ~ spl975_70 ),
inference(forward_subsumption_resolution,[],[f29229,f20289]) ).
fof(f29293,plain,
( k2_filter_0(k1_lattice2(sK101),sK102) = k2_filter_2(k1_lattice2(sK101),sK102)
| ~ spl975_53 ),
inference(resolution,[],[f28993,f20292]) ).
fof(f29477,plain,
! [X2,X0,X1] :
( ~ m2_lattice4(X1,X2)
| m1_subset_1(X0,u1_struct_0(X2))
| ~ r2_hidden(X0,X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(resolution,[],[f20296,f21973]) ).
fof(f29478,plain,
! [X2,X0,X1] :
( ~ m1_filter_0(X1,X2)
| m1_subset_1(X0,u1_struct_0(X2))
| ~ r2_hidden(X0,X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(resolution,[],[f20296,f21827]) ).
fof(f29492,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(resolution,[],[f29477,f20467]) ).
fof(f29495,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k22_filter_2(X1,X2,X3))
| m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(duplicate_literal_removal,[],[f29492]) ).
fof(f29893,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X1,sK128(X0,k18_filter_2(X1,X2)),X2)
| r1_tarski(X0,k18_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(sK128(X0,k18_filter_2(X1,X2)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f20492,f20459]) ).
fof(f29894,plain,
! [X2,X3,X0,X1] :
( ~ r3_lattices(X1,sK128(X0,k22_filter_2(X1,X2,X3)),X3)
| ~ r3_lattices(X1,X2,sK128(X0,k22_filter_2(X1,X2,X3)))
| r1_tarski(X0,k22_filter_2(X1,X2,X3))
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(sK128(X0,k22_filter_2(X1,X2,X3)),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f20492,f20466]) ).
fof(f29909,plain,
( m1_filter_2(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| v3_struct_0(k1_lattice2(sK101))
| ~ v10_lattices(k1_lattice2(sK101))
| ~ l3_lattices(k1_lattice2(sK101))
| ~ m1_subset_1(k5_filter_2(sK101,sK102),u1_struct_0(k1_lattice2(sK101))) ),
inference(superposition,[],[f21954,f29064]) ).
fof(f29916,plain,
( m1_filter_2(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| ~ v10_lattices(k1_lattice2(sK101))
| ~ l3_lattices(k1_lattice2(sK101))
| ~ m1_subset_1(k5_filter_2(sK101,sK102),u1_struct_0(k1_lattice2(sK101)))
| spl975_36 ),
inference(forward_subsumption_resolution,[],[f29909,f28777]) ).
fof(f29918,plain,
( m1_filter_2(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| ~ l3_lattices(k1_lattice2(sK101))
| ~ m1_subset_1(k5_filter_2(sK101,sK102),u1_struct_0(k1_lattice2(sK101)))
| spl975_36
| ~ spl975_41 ),
inference(forward_subsumption_resolution,[],[f29916,f28942]) ).
fof(f29920,plain,
( m1_filter_2(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| ~ m1_subset_1(k5_filter_2(sK101,sK102),u1_struct_0(k1_lattice2(sK101)))
| spl975_36
| ~ spl975_40
| ~ spl975_41 ),
inference(forward_subsumption_resolution,[],[f29918,f28938]) ).
fof(f29922,plain,
( ~ m1_subset_1(k5_filter_2(sK101,sK102),u1_struct_0(sK101))
| m1_filter_2(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| spl975_36
| ~ spl975_40
| ~ spl975_41 ),
inference(forward_demodulation,[],[f29920,f28763]) ).
fof(f29926,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(sK128(k18_filter_2(X0,X1),X2),u1_struct_0(X0))
| r3_lattices(X0,sK128(k18_filter_2(X0,X1),X2),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_tarski(k18_filter_2(X0,X1),X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f20491,f20458]) ).
fof(f29928,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(sK128(k22_filter_2(X0,X1,X2),X3),u1_struct_0(X0))
| r3_lattices(X0,sK128(k22_filter_2(X0,X1,X2),X3),X2)
| ~ r3_lattices(X0,X1,X2)
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f20491,f20464]) ).
fof(f30496,plain,
( sK102 = k5_filter_2(sK101,sK102)
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) ),
inference(resolution,[],[f21968,f20292]) ).
fof(f30504,plain,
( sK102 = k5_filter_2(sK101,sK102)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) ),
inference(forward_subsumption_resolution,[],[f30496,f20291]) ).
fof(f30509,plain,
( sK102 = k5_filter_2(sK101,sK102)
| ~ l3_lattices(sK101) ),
inference(forward_subsumption_resolution,[],[f30504,f20290]) ).
fof(f30513,plain,
sK102 = k5_filter_2(sK101,sK102),
inference(forward_subsumption_resolution,[],[f30509,f20289]) ).
fof(f30518,plain,
k18_filter_2(sK101,sK102) = k2_filter_2(k1_lattice2(sK101),sK102),
inference(superposition,[],[f29064,f30513]) ).
fof(f30524,plain,
( ~ m1_subset_1(sK102,u1_struct_0(sK101))
| m1_filter_2(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| spl975_36
| ~ spl975_40
| ~ spl975_41 ),
inference(forward_demodulation,[],[f29922,f30513]) ).
fof(f30544,plain,
( m1_filter_2(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| spl975_36
| ~ spl975_40
| ~ spl975_41 ),
inference(forward_subsumption_resolution,[],[f30524,f20292]) ).
fof(f30589,plain,
( k18_filter_2(sK101,sK102) = k2_filter_0(k1_lattice2(sK101),sK102)
| ~ spl975_53 ),
inference(superposition,[],[f29293,f30518]) ).
fof(f30601,plain,
( m1_filter_0(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| v3_struct_0(k1_lattice2(sK101))
| ~ v10_lattices(k1_lattice2(sK101))
| ~ l3_lattices(k1_lattice2(sK101))
| ~ m1_subset_1(sK102,u1_struct_0(k1_lattice2(sK101)))
| ~ spl975_53 ),
inference(superposition,[],[f21943,f30589]) ).
fof(f30604,plain,
( m1_filter_0(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| ~ v10_lattices(k1_lattice2(sK101))
| ~ l3_lattices(k1_lattice2(sK101))
| ~ m1_subset_1(sK102,u1_struct_0(k1_lattice2(sK101)))
| spl975_36
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f30601,f28777]) ).
fof(f30607,plain,
( m1_filter_0(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| ~ l3_lattices(k1_lattice2(sK101))
| ~ m1_subset_1(sK102,u1_struct_0(k1_lattice2(sK101)))
| spl975_36
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f30604,f28942]) ).
fof(f30610,plain,
( m1_filter_0(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| ~ m1_subset_1(sK102,u1_struct_0(k1_lattice2(sK101)))
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f30607,f28938]) ).
fof(f30613,plain,
( ~ m1_subset_1(sK102,u1_struct_0(sK101))
| m1_filter_0(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_demodulation,[],[f30610,f28763]) ).
fof(f30616,plain,
( m1_filter_0(k18_filter_2(sK101,sK102),k1_lattice2(sK101))
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f30613,f20292]) ).
fof(f30719,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(sK101)))
| ~ r2_hidden(X0,k18_filter_2(sK101,sK102))
| v3_struct_0(k1_lattice2(sK101))
| ~ v10_lattices(k1_lattice2(sK101))
| ~ l3_lattices(k1_lattice2(sK101)) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(resolution,[],[f30616,f29478]) ).
fof(f30726,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(sK101)))
| ~ r2_hidden(X0,k18_filter_2(sK101,sK102))
| ~ v10_lattices(k1_lattice2(sK101))
| ~ l3_lattices(k1_lattice2(sK101)) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f30719,f28777]) ).
fof(f30731,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(sK101)))
| ~ r2_hidden(X0,k18_filter_2(sK101,sK102))
| ~ l3_lattices(k1_lattice2(sK101)) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f30726,f28942]) ).
fof(f30735,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(sK101)))
| ~ r2_hidden(X0,k18_filter_2(sK101,sK102)) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f30731,f28938]) ).
fof(f30737,plain,
( ! [X0] :
( ~ r2_hidden(X0,k18_filter_2(sK101,sK102))
| m1_subset_1(X0,u1_struct_0(sK101)) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_demodulation,[],[f30735,f28763]) ).
fof(f30738,plain,
( m2_filter_2(k18_filter_2(sK101,sK102),sK101)
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101)
| spl975_36
| ~ spl975_40
| ~ spl975_41 ),
inference(resolution,[],[f30544,f26789]) ).
fof(f30742,plain,
( m2_filter_2(k18_filter_2(sK101,sK102),sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101)
| spl975_36
| ~ spl975_40
| ~ spl975_41 ),
inference(forward_subsumption_resolution,[],[f30738,f20291]) ).
fof(f30743,plain,
( m2_filter_2(k18_filter_2(sK101,sK102),sK101)
| ~ l3_lattices(sK101)
| spl975_36
| ~ spl975_40
| ~ spl975_41 ),
inference(forward_subsumption_resolution,[],[f30742,f20290]) ).
fof(f30744,plain,
( m2_filter_2(k18_filter_2(sK101,sK102),sK101)
| spl975_36
| ~ spl975_40
| ~ spl975_41 ),
inference(forward_subsumption_resolution,[],[f30743,f20289]) ).
fof(f30745,plain,
( spl975_61
| spl975_36
| ~ spl975_40
| ~ spl975_41 ),
inference(avatar_split_clause,[],[f30744,f28941,f28937,f28776,f29074]) ).
fof(f30750,plain,
( m2_lattice4(k18_filter_2(sK101,sK102),sK101)
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101)
| ~ spl975_61 ),
inference(resolution,[],[f29075,f20594]) ).
fof(f30752,plain,
( m2_lattice4(k18_filter_2(sK101,sK102),sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101)
| ~ spl975_61 ),
inference(forward_subsumption_resolution,[],[f30750,f20291]) ).
fof(f30754,plain,
( m2_lattice4(k18_filter_2(sK101,sK102),sK101)
| ~ l3_lattices(sK101)
| ~ spl975_61 ),
inference(forward_subsumption_resolution,[],[f30752,f20290]) ).
fof(f30756,plain,
( m2_lattice4(k18_filter_2(sK101,sK102),sK101)
| ~ spl975_61 ),
inference(forward_subsumption_resolution,[],[f30754,f20289]) ).
fof(f31144,plain,
( ! [X0] :
( m1_subset_1(sK128(k18_filter_2(sK101,sK102),X0),u1_struct_0(sK101))
| r1_tarski(k18_filter_2(sK101,sK102),X0) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(resolution,[],[f30737,f20491]) ).
fof(f31154,plain,
( ! [X0] :
( r1_tarski(k18_filter_2(sK101,sK102),X0)
| r3_lattices(sK101,sK128(k18_filter_2(sK101,sK102),X0),sK102)
| ~ m1_subset_1(sK102,u1_struct_0(sK101))
| r1_tarski(k18_filter_2(sK101,sK102),X0)
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(resolution,[],[f31144,f29926]) ).
fof(f31166,plain,
( ! [X0] :
( r1_tarski(k18_filter_2(sK101,sK102),X0)
| r3_lattices(sK101,sK128(k18_filter_2(sK101,sK102),X0),sK102)
| ~ m1_subset_1(sK102,u1_struct_0(sK101))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(duplicate_literal_removal,[],[f31154]) ).
fof(f31174,plain,
( ! [X0] :
( r1_tarski(k18_filter_2(sK101,sK102),X0)
| r3_lattices(sK101,sK128(k18_filter_2(sK101,sK102),X0),sK102)
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f31166,f20292]) ).
fof(f31182,plain,
( ! [X0] :
( r1_tarski(k18_filter_2(sK101,sK102),X0)
| r3_lattices(sK101,sK128(k18_filter_2(sK101,sK102),X0),sK102)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f31174,f20291]) ).
fof(f31189,plain,
( ! [X0] :
( r1_tarski(k18_filter_2(sK101,sK102),X0)
| r3_lattices(sK101,sK128(k18_filter_2(sK101,sK102),X0),sK102)
| ~ l3_lattices(sK101) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f31182,f20290]) ).
fof(f31191,plain,
( ! [X0] :
( r3_lattices(sK101,sK128(k18_filter_2(sK101,sK102),X0),sK102)
| r1_tarski(k18_filter_2(sK101,sK102),X0) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f31189,f20289]) ).
fof(f31197,plain,
( ! [X0] :
( r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102))
| ~ r3_lattices(sK101,X0,sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)))
| r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102))
| ~ r3_lattices(sK101,X0,sK102)
| ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)),u1_struct_0(sK101))
| ~ m1_subset_1(sK102,u1_struct_0(sK101))
| ~ m1_subset_1(X0,u1_struct_0(sK101))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(resolution,[],[f31191,f29894]) ).
fof(f31198,plain,
( ! [X0] :
( r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102))
| ~ r3_lattices(sK101,X0,sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)))
| ~ r3_lattices(sK101,X0,sK102)
| ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)),u1_struct_0(sK101))
| ~ m1_subset_1(sK102,u1_struct_0(sK101))
| ~ m1_subset_1(X0,u1_struct_0(sK101))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(duplicate_literal_removal,[],[f31197]) ).
fof(f31201,plain,
( ! [X0] :
( r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102))
| ~ r3_lattices(sK101,X0,sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)))
| ~ r3_lattices(sK101,X0,sK102)
| ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)),u1_struct_0(sK101))
| ~ m1_subset_1(X0,u1_struct_0(sK101))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f31198,f20292]) ).
fof(f31202,plain,
( ! [X0] :
( r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102))
| ~ r3_lattices(sK101,X0,sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)))
| ~ r3_lattices(sK101,X0,sK102)
| ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)),u1_struct_0(sK101))
| ~ m1_subset_1(X0,u1_struct_0(sK101))
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f31201,f20291]) ).
fof(f31203,plain,
( ! [X0] :
( r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102))
| ~ r3_lattices(sK101,X0,sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)))
| ~ r3_lattices(sK101,X0,sK102)
| ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)),u1_struct_0(sK101))
| ~ m1_subset_1(X0,u1_struct_0(sK101))
| ~ l3_lattices(sK101) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f31202,f20290]) ).
fof(f31204,plain,
( ! [X0] :
( r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102))
| ~ r3_lattices(sK101,X0,sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)))
| ~ r3_lattices(sK101,X0,sK102)
| ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)),u1_struct_0(sK101))
| ~ m1_subset_1(X0,u1_struct_0(sK101)) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f31203,f20289]) ).
fof(f31205,plain,
( ! [X0] :
( ~ r3_lattices(sK101,X0,sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102)))
| r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,X0,sK102))
| ~ r3_lattices(sK101,X0,sK102)
| ~ m1_subset_1(X0,u1_struct_0(sK101)) )
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(forward_subsumption_resolution,[],[f31204,f31144]) ).
fof(f31207,plain,
( r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102))
| ~ r3_lattices(sK101,k5_lattices(sK101),sK102)
| ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102)),u1_struct_0(sK101))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ v13_lattices(sK101)
| ~ l3_lattices(sK101)
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53 ),
inference(resolution,[],[f31205,f20370]) ).
fof(f31208,plain,
( ~ r3_lattices(sK101,k5_lattices(sK101),sK102)
| ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102)),u1_struct_0(sK101))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ v13_lattices(sK101)
| ~ l3_lattices(sK101)
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53
| spl975_64 ),
inference(forward_subsumption_resolution,[],[f31207,f29088]) ).
fof(f31210,plain,
( ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102)),u1_struct_0(sK101))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ v13_lattices(sK101)
| ~ l3_lattices(sK101)
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53
| spl975_64
| ~ spl975_69
| ~ spl975_70 ),
inference(forward_subsumption_resolution,[],[f31208,f29233]) ).
fof(f31212,plain,
( ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102)),u1_struct_0(sK101))
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ v13_lattices(sK101)
| ~ l3_lattices(sK101)
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53
| spl975_64
| ~ spl975_69
| ~ spl975_70 ),
inference(forward_subsumption_resolution,[],[f31210,f29197]) ).
fof(f31214,plain,
( ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102)),u1_struct_0(sK101))
| ~ v10_lattices(sK101)
| ~ v13_lattices(sK101)
| ~ l3_lattices(sK101)
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53
| spl975_64
| ~ spl975_69
| ~ spl975_70 ),
inference(forward_subsumption_resolution,[],[f31212,f20291]) ).
fof(f31215,plain,
( ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102)),u1_struct_0(sK101))
| ~ v13_lattices(sK101)
| ~ l3_lattices(sK101)
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53
| spl975_64
| ~ spl975_69
| ~ spl975_70 ),
inference(forward_subsumption_resolution,[],[f31214,f20290]) ).
fof(f31216,plain,
( ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102)),u1_struct_0(sK101))
| ~ l3_lattices(sK101)
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53
| spl975_64
| ~ spl975_69
| ~ spl975_70 ),
inference(forward_subsumption_resolution,[],[f31215,f20293]) ).
fof(f31217,plain,
( ~ m1_subset_1(sK128(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102)),u1_struct_0(sK101))
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53
| spl975_64
| ~ spl975_69
| ~ spl975_70 ),
inference(forward_subsumption_resolution,[],[f31216,f20289]) ).
fof(f31218,plain,
( r1_tarski(k18_filter_2(sK101,sK102),k22_filter_2(sK101,k5_lattices(sK101),sK102))
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53
| spl975_64
| ~ spl975_69
| ~ spl975_70 ),
inference(resolution,[],[f31217,f31144]) ).
fof(f31219,plain,
( $false
| spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53
| spl975_64
| ~ spl975_69
| ~ spl975_70 ),
inference(forward_subsumption_resolution,[],[f31218,f29088]) ).
fof(f31220,plain,
( spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53
| spl975_64
| ~ spl975_69
| ~ spl975_70 ),
inference(avatar_contradiction_clause,[],[f31219]) ).
fof(f31236,plain,
( ~ r1_tarski(k22_filter_2(sK101,k5_lattices(sK101),sK102),k18_filter_2(sK101,sK102))
| k18_filter_2(sK101,sK102) = k22_filter_2(sK101,k5_lattices(sK101),sK102)
| ~ spl975_64 ),
inference(resolution,[],[f29087,f21802]) ).
fof(f31238,definition,
( spl975_124
<=> k18_filter_2(sK101,sK102) = k22_filter_2(sK101,k5_lattices(sK101),sK102) ),
introduced(definition,[new_symbols(definition,[spl975_124])],[avatar_definition]) ).
fof(f31240,plain,
( k18_filter_2(sK101,sK102) = k22_filter_2(sK101,k5_lattices(sK101),sK102)
| ~ spl975_124 ),
inference(avatar_component_clause,[],[f31238]) ).
fof(f31242,definition,
( spl975_125
<=> r1_tarski(k22_filter_2(sK101,k5_lattices(sK101),sK102),k18_filter_2(sK101,sK102)) ),
introduced(definition,[new_symbols(definition,[spl975_125])],[avatar_definition]) ).
fof(f31244,plain,
( ~ r1_tarski(k22_filter_2(sK101,k5_lattices(sK101),sK102),k18_filter_2(sK101,sK102))
| spl975_125 ),
inference(avatar_component_clause,[],[f31242]) ).
fof(f31245,plain,
( spl975_124
| ~ spl975_125
| ~ spl975_64 ),
inference(avatar_split_clause,[],[f31236,f29086,f31242,f31238]) ).
fof(f34654,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK128(k22_filter_2(X0,X1,X2),X3),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3) ),
inference(resolution,[],[f29495,f20491]) ).
fof(f34662,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| r3_lattices(X0,sK128(k22_filter_2(X0,X1,X2),X3),X2)
| ~ r3_lattices(X0,X1,X2)
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f34654,f29928]) ).
fof(f34700,plain,
! [X2,X3,X0,X1] :
( r3_lattices(X0,sK128(k22_filter_2(X0,X1,X2),X3),X2)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f34662]) ).
fof(f34730,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),k18_filter_2(X0,X2))
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| r1_tarski(k22_filter_2(X0,X1,X2),k18_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(sK128(k22_filter_2(X0,X1,X2),k18_filter_2(X0,X2)),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f34700,f29893]) ).
fof(f34759,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_tarski(k22_filter_2(X0,X1,X2),k18_filter_2(X0,X2))
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(sK128(k22_filter_2(X0,X1,X2),k18_filter_2(X0,X2)),u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f34730]) ).
fof(f34776,plain,
! [X2,X0,X1] :
( r1_tarski(k22_filter_2(X0,X1,X2),k18_filter_2(X0,X2))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f34759,f34654]) ).
fof(f34830,plain,
( ~ l3_lattices(sK101)
| ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| ~ m1_subset_1(sK102,u1_struct_0(sK101))
| ~ v10_lattices(sK101)
| v3_struct_0(sK101)
| ~ r3_lattices(sK101,k5_lattices(sK101),sK102)
| spl975_125 ),
inference(resolution,[],[f34776,f31244]) ).
fof(f34853,plain,
( ~ m1_subset_1(k5_lattices(sK101),u1_struct_0(sK101))
| ~ m1_subset_1(sK102,u1_struct_0(sK101))
| ~ v10_lattices(sK101)
| v3_struct_0(sK101)
| ~ r3_lattices(sK101,k5_lattices(sK101),sK102)
| spl975_125 ),
inference(forward_subsumption_resolution,[],[f34830,f20289]) ).
fof(f34861,plain,
( ~ m1_subset_1(sK102,u1_struct_0(sK101))
| ~ v10_lattices(sK101)
| v3_struct_0(sK101)
| ~ r3_lattices(sK101,k5_lattices(sK101),sK102)
| ~ spl975_69
| spl975_125 ),
inference(forward_subsumption_resolution,[],[f34853,f29197]) ).
fof(f34869,plain,
( ~ v10_lattices(sK101)
| v3_struct_0(sK101)
| ~ r3_lattices(sK101,k5_lattices(sK101),sK102)
| ~ spl975_69
| spl975_125 ),
inference(forward_subsumption_resolution,[],[f34861,f20292]) ).
fof(f34877,plain,
( v3_struct_0(sK101)
| ~ r3_lattices(sK101,k5_lattices(sK101),sK102)
| ~ spl975_69
| spl975_125 ),
inference(forward_subsumption_resolution,[],[f34869,f20290]) ).
fof(f34885,plain,
( ~ r3_lattices(sK101,k5_lattices(sK101),sK102)
| ~ spl975_69
| spl975_125 ),
inference(forward_subsumption_resolution,[],[f34877,f20291]) ).
fof(f34890,plain,
( $false
| ~ spl975_69
| ~ spl975_70
| spl975_125 ),
inference(forward_subsumption_resolution,[],[f34885,f29233]) ).
fof(f34891,plain,
( ~ spl975_69
| ~ spl975_70
| spl975_125 ),
inference(avatar_contradiction_clause,[],[f34890]) ).
fof(f34926,plain,
( ~ r1_filter_2(u1_struct_0(sK101),k18_filter_2(sK101,sK102),k18_filter_2(sK101,sK102))
| ~ spl975_124 ),
inference(superposition,[],[f20294,f31240]) ).
fof(f34981,plain,
( v1_xboole_0(u1_struct_0(sK101))
| ~ m2_lattice4(k18_filter_2(sK101,sK102),sK101)
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101)
| ~ spl975_124 ),
inference(resolution,[],[f34926,f28843]) ).
fof(f34985,plain,
( ~ m2_lattice4(k18_filter_2(sK101,sK102),sK101)
| v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101)
| ~ spl975_124 ),
inference(forward_subsumption_resolution,[],[f34981,f28853]) ).
fof(f34990,plain,
( v3_struct_0(sK101)
| ~ v10_lattices(sK101)
| ~ l3_lattices(sK101)
| ~ spl975_61
| ~ spl975_124 ),
inference(forward_subsumption_resolution,[],[f34985,f30756]) ).
fof(f34991,plain,
( ~ v10_lattices(sK101)
| ~ l3_lattices(sK101)
| ~ spl975_61
| ~ spl975_124 ),
inference(forward_subsumption_resolution,[],[f34990,f20291]) ).
fof(f34992,plain,
( ~ l3_lattices(sK101)
| ~ spl975_61
| ~ spl975_124 ),
inference(forward_subsumption_resolution,[],[f34991,f20290]) ).
fof(f34993,plain,
( $false
| ~ spl975_61
| ~ spl975_124 ),
inference(forward_subsumption_resolution,[],[f34992,f20289]) ).
fof(f34994,plain,
( ~ spl975_61
| ~ spl975_124 ),
inference(avatar_contradiction_clause,[],[f34993]) ).
cnf(s39,plain,
( spl975_36
| ~ spl975_40
| ~ spl975_41
| spl975_53 ),
inference(sat_conversion,[],[f28994]) ).
cnf(s47,plain,
spl975_40,
inference(sat_conversion,[],[f29124]) ).
cnf(s50,plain,
~ spl975_36,
inference(sat_conversion,[],[f29139]) ).
cnf(s51,plain,
spl975_41,
inference(sat_conversion,[],[f29144]) ).
cnf(s55,plain,
( ~ spl975_69
| spl975_70 ),
inference(sat_conversion,[],[f29203]) ).
cnf(s56,plain,
spl975_69,
inference(sat_conversion,[],[f29207]) ).
cnf(s89,plain,
( spl975_36
| ~ spl975_40
| ~ spl975_41
| spl975_61 ),
inference(sat_conversion,[],[f30745]) ).
cnf(s94,plain,
( spl975_36
| ~ spl975_40
| ~ spl975_41
| ~ spl975_53
| spl975_64
| ~ spl975_69
| ~ spl975_70 ),
inference(sat_conversion,[],[f31220]) ).
cnf(s96,plain,
( ~ spl975_64
| spl975_124
| ~ spl975_125 ),
inference(sat_conversion,[],[f31245]) ).
cnf(s158,plain,
( ~ spl975_69
| ~ spl975_70
| spl975_125 ),
inference(sat_conversion,[],[f34891]) ).
cnf(s162,plain,
( ~ spl975_61
| ~ spl975_124 ),
inference(sat_conversion,[],[f34994]) ).
cnf(s177,plain,
spl975_70,
inference(rat,[],[s55,s56]) ).
cnf(s178,plain,
spl975_125,
inference(rat,[],[s158,s56,s177]) ).
cnf(s184,plain,
spl975_61,
inference(rat,[],[s89,s50,s51,s47]) ).
cnf(s191,plain,
~ spl975_124,
inference(rat,[],[s162,s184]) ).
cnf(s192,plain,
~ spl975_64,
inference(rat,[],[s96,s178,s191]) ).
cnf(s193,plain,
~ spl975_53,
inference(rat,[],[s94,s177,s56,s47,s50,s51,s192]) ).
cnf(s199,plain,
$false,
inference(rat,[],[s39,s193,s51,s47,s50]) ).
fof(f34995,plain,
$false,
inference(avatar_sat_refutation,[],[s199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT330+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n026.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 14:44:44 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 12.41/3.17 % (2909740)Detected formulas, will run a generic FOF schedule.
% 12.41/3.17 % (2909748)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3831160615:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 12.41/3.17 % (2909748)Refutation not found, incomplete strategy
% 12.41/3.17 % (2909748)------------------------------
% 12.41/3.17 % (2909748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.41/3.17 % (2909748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.41/3.17 % (2909748)CaDiCaL version: 2.1.3
% 12.41/3.17 % (2909748)Termination reason: Refutation not found, incomplete strategy
% 12.41/3.17 % (2909748)Time elapsed: 0.042 s
% 12.41/3.17 % (2909748)Peak memory usage: 107 MB
% 12.41/3.17 % (2909748)Instructions burned: 83 (million)
% 12.41/3.17 % (2909745)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=3643004095:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 12.41/3.17 % (2909746)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=635784077:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 12.41/3.17 % (2909747)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=1342183828:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 12.41/3.17 % (2909750)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3234471498:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 12.41/3.17 % (2909749)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2313788054:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 12.41/3.17 % (2909751)dis-21_1_sil=8000:lcm=predicate:random_seed=2708784822:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 12.41/3.17 % (2909750)Instruction limit reached!
% 12.41/3.17 % (2909750)------------------------------
% 12.41/3.17 % (2909750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.41/3.17 % (2909750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.41/3.17 % (2909750)CaDiCaL version: 2.1.3
% 12.41/3.17 % (2909750)Termination reason: Instruction limit
% 12.41/3.17 % (2909750)Termination phase: Property scanning
% 12.41/3.17 % (2909750)Time elapsed: 0.059 s
% 12.41/3.17 % (2909750)Peak memory usage: 102 MB
% 12.41/3.17 % (2909750)Instructions burned: 140 (million)
% 12.41/3.17 % (2909749)Instruction limit reached!
% 12.41/3.17 % (2909749)------------------------------
% 12.41/3.17 % (2909749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.41/3.17 % (2909749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.41/3.17 % (2909749)CaDiCaL version: 2.1.3
% 12.41/3.17 % (2909749)Termination reason: Instruction limit
% 12.41/3.17 % (2909749)Termination phase: Function definition elimination
% 12.41/3.17 % (2909749)Time elapsed: 0.091 s
% 12.41/3.17 % (2909749)Peak memory usage: 105 MB
% 12.41/3.17 % (2909749)Instructions burned: 119 (million)
% 12.41/3.17 % (2909751)Instruction limit reached!
% 12.41/3.17 % (2909751)------------------------------
% 12.41/3.17 % (2909751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.41/3.17 % (2909751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.41/3.17 % (2909751)CaDiCaL version: 2.1.3
% 12.41/3.17 % (2909751)Termination reason: Instruction limit
% 12.41/3.17 % (2909751)Termination phase: Preprocessing 1
% 12.41/3.17 % (2909751)Time elapsed: 0.097 s
% 12.41/3.17 % (2909751)Peak memory usage: 103 MB
% 12.41/3.17 % (2909751)Instructions burned: 129 (million)
% 12.41/3.17 % (2909748)------------------------------
% 12.41/3.17 % (2909748)------------------------------
% 12.41/3.17 % (2909759)lrs+10_1_sil=8000:sp=occurrence:random_seed=3202548191:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 12.41/3.17 % (2909760)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1904006409:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 12.41/3.17 % (2909762)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=817614352:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 12.41/3.17 % (2909761)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3815118210:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 19.55/4.15 % (2909760)Instruction limit reached!
% 19.55/4.15 % (2909760)------------------------------
% 19.55/4.15 % (2909760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.15 % (2909760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.15 % (2909760)CaDiCaL version: 2.1.3
% 19.55/4.15 % (2909760)Termination reason: Instruction limit
% 19.55/4.15 % (2909760)Termination phase: Property scanning
% 19.55/4.15 % (2909760)Time elapsed: 0.065 s
% 19.55/4.15 % (2909760)Peak memory usage: 103 MB
% 19.55/4.15 % (2909760)Instructions burned: 157 (million)
% 19.55/4.15 % (2909762)Instruction limit reached!
% 19.55/4.15 % (2909762)------------------------------
% 19.55/4.15 % (2909762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.15 % (2909762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.15 % (2909762)CaDiCaL version: 2.1.3
% 19.55/4.15 % (2909762)Termination reason: Instruction limit
% 19.55/4.15 % (2909762)Termination phase: SInE selection
% 19.55/4.15 % (2909762)Time elapsed: 0.067 s
% 19.55/4.15 % (2909762)Peak memory usage: 103 MB
% 19.55/4.15 % (2909762)Instructions burned: 248 (million)
% 19.55/4.15 % (2909768)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2921419572:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 19.55/4.15 % (2909759)Instruction limit reached!
% 19.55/4.15 % (2909759)------------------------------
% 19.55/4.15 % (2909759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.15 % (2909759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.15 % (2909759)CaDiCaL version: 2.1.3
% 19.55/4.15 % (2909759)Termination reason: Instruction limit
% 19.55/4.15 % (2909759)Termination phase: Saturation
% 19.55/4.15 % (2909759)Time elapsed: 0.202 s
% 19.55/4.15 % (2909759)Peak memory usage: 110 MB
% 19.55/4.15 % (2909759)Instructions burned: 286 (million)
% 19.55/4.15 % (2909767)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4127462143:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 19.55/4.15 % (2909761)Instruction limit reached!
% 19.55/4.15 % (2909761)------------------------------
% 19.55/4.15 % (2909761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.15 % (2909761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.15 % (2909761)CaDiCaL version: 2.1.3
% 19.55/4.15 % (2909761)Termination reason: Instruction limit
% 19.55/4.15 % (2909761)Termination phase: Saturation
% 19.55/4.15 % (2909761)Time elapsed: 0.188 s
% 19.55/4.15 % (2909761)Peak memory usage: 108 MB
% 19.55/4.15 % (2909761)Instructions burned: 325 (million)
% 19.55/4.15 % (2909770)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=486805856:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 19.55/4.15 % (2909772)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4184376586:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 19.55/4.15 % (2909767)Instruction limit reached!
% 19.55/4.15 % (2909767)------------------------------
% 19.55/4.15 % (2909767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.15 % (2909767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.15 % (2909767)CaDiCaL version: 2.1.3
% 19.55/4.15 % (2909767)Termination reason: Instruction limit
% 19.55/4.15 % (2909767)Termination phase: Saturation
% 19.55/4.15 % (2909767)Time elapsed: 0.190 s
% 19.55/4.15 % (2909767)Peak memory usage: 110 MB
% 19.55/4.15 % (2909767)Instructions burned: 295 (million)
% 19.55/4.15 % (2909770)Instruction limit reached!
% 19.55/4.15 % (2909770)------------------------------
% 19.55/4.15 % (2909770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.15 % (2909770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.15 % (2909770)CaDiCaL version: 2.1.3
% 19.55/4.15 % (2909770)Termination reason: Instruction limit
% 19.55/4.15 % (2909770)Termination phase: Preprocessing 3
% 19.55/4.15 % (2909770)Time elapsed: 0.098 s
% 19.55/4.15 % (2909770)Peak memory usage: 105 MB
% 19.55/4.15 % (2909770)Instructions burned: 114 (million)
% 19.55/4.15 % (2909772)Instruction limit reached!
% 19.55/4.15 % (2909772)------------------------------
% 19.55/4.15 % (2909772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.15 % (2909772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909772)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909772)Termination reason: Instruction limit
% 36.21/6.59 % (2909772)Termination phase: Preprocessing 2
% 36.21/6.59 % (2909772)Time elapsed: 0.101 s
% 36.21/6.59 % (2909772)Peak memory usage: 106 MB
% 36.21/6.59 % (2909772)Instructions burned: 128 (million)
% 36.21/6.59 % (2909775)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1110263230:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 36.21/6.59 % (2909776)lrs+10_1_sil=8000:sp=occurrence:random_seed=282808603:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 36.21/6.59 % (2909777)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2240087572:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 36.21/6.59 % (2909775)Instruction limit reached!
% 36.21/6.59 % (2909775)------------------------------
% 36.21/6.59 % (2909775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909775)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909775)Termination reason: Instruction limit
% 36.21/6.59 % (2909775)Termination phase: Property scanning
% 36.21/6.59 % (2909775)Time elapsed: 0.050 s
% 36.21/6.59 % (2909775)Peak memory usage: 103 MB
% 36.21/6.59 % (2909775)Instructions burned: 115 (million)
% 36.21/6.59 % (2909781)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3767094889:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 36.21/6.59 % (2909777)Instruction limit reached!
% 36.21/6.59 % (2909777)------------------------------
% 36.21/6.59 % (2909777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909777)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909777)Termination reason: Instruction limit
% 36.21/6.59 % (2909777)Termination phase: Saturation
% 36.21/6.59 % (2909777)Time elapsed: 0.263 s
% 36.21/6.59 % (2909777)Peak memory usage: 110 MB
% 36.21/6.59 % (2909777)Instructions burned: 439 (million)
% 36.21/6.59 % (2909783)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1118004836:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 36.21/6.59 % (2909768)Instruction limit reached!
% 36.21/6.59 % (2909768)------------------------------
% 36.21/6.59 % (2909768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909768)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909768)Termination reason: Instruction limit
% 36.21/6.59 % (2909768)Termination phase: Saturation
% 36.21/6.59 % (2909768)Time elapsed: 0.820 s
% 36.21/6.59 % (2909768)Peak memory usage: 240 MB
% 36.21/6.59 % (2909768)Instructions burned: 2351 (million)
% 36.21/6.59 % (2909783)Instruction limit reached!
% 36.21/6.59 % (2909783)------------------------------
% 36.21/6.59 % (2909783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909783)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909783)Termination reason: Instruction limit
% 36.21/6.59 % (2909783)Termination phase: Property scanning
% 36.21/6.59 % (2909783)Time elapsed: 0.103 s
% 36.21/6.59 % (2909783)Peak memory usage: 106 MB
% 36.21/6.59 % (2909783)Instructions burned: 137 (million)
% 36.21/6.59 % (2909785)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=756896268:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 36.21/6.59 % (2909776)Instruction limit reached!
% 36.21/6.59 % (2909776)------------------------------
% 36.21/6.59 % (2909776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909776)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909776)Termination reason: Instruction limit
% 36.21/6.59 % (2909776)Termination phase: Saturation
% 36.21/6.59 % (2909776)Time elapsed: 0.586 s
% 36.21/6.59 % (2909776)Peak memory usage: 121 MB
% 36.21/6.59 % (2909776)Instructions burned: 908 (million)
% 36.21/6.59 % (2909786)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1074872171:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 36.21/6.59 % (2909788)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=858688100:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 36.21/6.59 % (2909785)Instruction limit reached!
% 36.21/6.59 % (2909785)------------------------------
% 36.21/6.59 % (2909785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909785)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909785)Termination reason: Instruction limit
% 36.21/6.59 % (2909785)Termination phase: Property scanning
% 36.21/6.59 % (2909785)Time elapsed: 0.234 s
% 36.21/6.59 % (2909785)Peak memory usage: 122 MB
% 36.21/6.59 % (2909785)Instructions burned: 595 (million)
% 36.21/6.59 % (2909788)Instruction limit reached!
% 36.21/6.59 % (2909788)------------------------------
% 36.21/6.59 % (2909788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909788)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909788)Termination reason: Instruction limit
% 36.21/6.59 % (2909788)Termination phase: Property scanning
% 36.21/6.59 % (2909788)Time elapsed: 0.054 s
% 36.21/6.59 % (2909788)Peak memory usage: 103 MB
% 36.21/6.59 % (2909788)Instructions burned: 126 (million)
% 36.21/6.59 % (2909792)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3726744303:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 36.21/6.59 % (2909792)Refutation not found, incomplete strategy
% 36.21/6.59 % (2909792)------------------------------
% 36.21/6.59 % (2909792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909792)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909792)Termination reason: Refutation not found, incomplete strategy
% 36.21/6.59 % (2909792)Time elapsed: 0.041 s
% 36.21/6.59 % (2909792)Peak memory usage: 107 MB
% 36.21/6.59 % (2909792)Instructions burned: 84 (million)
% 36.21/6.59 % (2909791)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3653384442:i=134:gtgl=5:slsql=off:gtg=exists_sym_2976 on theBenchmark for (2976ds/134Mi)
% 36.21/6.59 % (2909791)Instruction limit reached!
% 36.21/6.59 % (2909791)------------------------------
% 36.21/6.59 % (2909791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909791)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909791)Termination reason: Instruction limit
% 36.21/6.59 % (2909791)Termination phase: Property scanning
% 36.21/6.59 % (2909791)Time elapsed: 0.058 s
% 36.21/6.59 % (2909791)Peak memory usage: 103 MB
% 36.21/6.59 % (2909791)Instructions burned: 134 (million)
% 36.21/6.59 % (2909792)------------------------------
% 36.21/6.59 % (2909792)------------------------------
% 36.21/6.59 % (2909795)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1386342874:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 36.21/6.59 % (2909796)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=584642739:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 36.21/6.59 % (2909795)Refutation not found, incomplete strategy
% 36.21/6.59 % (2909795)------------------------------
% 36.21/6.59 % (2909795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909795)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909795)Termination reason: Refutation not found, incomplete strategy
% 36.21/6.59 % (2909795)Time elapsed: 0.073 s
% 36.21/6.59 % (2909795)Peak memory usage: 107 MB
% 36.21/6.59 % (2909795)Instructions burned: 84 (million)
% 36.21/6.59 % (2909795)------------------------------
% 36.21/6.59 % (2909795)------------------------------
% 36.21/6.59 % (2909799)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=1704212497:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2969 on theBenchmark for (2969ds/150Mi)
% 36.21/6.59 % (2909799)Instruction limit reached!
% 36.21/6.59 % (2909799)------------------------------
% 36.21/6.59 % (2909799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909799)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909799)Termination reason: Instruction limit
% 36.21/6.59 % (2909799)Termination phase: Preprocessing 1
% 36.21/6.59 % (2909799)Time elapsed: 0.117 s
% 36.21/6.59 % (2909799)Peak memory usage: 103 MB
% 36.21/6.59 % (2909799)Instructions burned: 151 (million)
% 36.21/6.59 % (2909801)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3603127673:i=14155:bd=all_2966 on theBenchmark for (2966ds/14155Mi)
% 36.21/6.59 % (2909786)First to succeed.
% 36.21/6.59 % (2909786)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2909740"
% 36.21/6.59 % (2909781)Instruction limit reached!
% 36.21/6.59 % (2909781)------------------------------
% 36.21/6.59 % (2909781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909781)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909781)Termination reason: Instruction limit
% 36.21/6.59 % (2909781)Termination phase: Saturation
% 36.21/6.59 % (2909781)Time elapsed: 3.679 s
% 36.21/6.59 % (2909781)Peak memory usage: 307 MB
% 36.21/6.59 % (2909781)Instructions burned: 5202 (million)
% 36.21/6.59 % (2909803)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2709095750:i=667:av=off:fsr=off_2945 on theBenchmark for (2945ds/667Mi)
% 36.21/6.59 % (2909796)Instruction limit reached!
% 36.21/6.59 % (2909796)------------------------------
% 36.21/6.59 % (2909796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.21/6.59 % (2909796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.21/6.59 % (2909796)CaDiCaL version: 2.1.3
% 36.21/6.59 % (2909796)Termination reason: Instruction limit
% 36.21/6.59 % (2909796)Termination phase: Saturation
% 36.21/6.59 % (2909796)Time elapsed: 2.855 s
% 36.21/6.59 % (2909796)Peak memory usage: 557 MB
% 36.21/6.59 % (2909796)Instructions burned: 6063 (million)
% 36.21/6.59 % (2909786)Refutation found. Thanks to Tanya!
% 36.21/6.59 % SZS status Theorem for theBenchmark
% 36.21/6.59 % SZS output start Proof for theBenchmark
% See solution above
% 36.77/6.68 % (2909786)------------------------------
% 36.77/6.68 % (2909786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.77/6.68 % (2909786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.77/6.68 % (2909786)CaDiCaL version: 2.1.3
% 36.77/6.68 % (2909786)Termination reason: Refutation
% 36.77/6.68 % (2909786)Time elapsed: 3.147 s
% 36.77/6.68 % (2909786)Peak memory usage: 246 MB
% 36.77/6.68 % (2909786)Instructions burned: 4920 (million)
% 36.77/6.68 % (2909786)------------------------------
% 36.77/6.68 % (2909786)------------------------------
% 36.77/6.68 % (2909740)Success in time 5.737 s
% 36.77/6.68 % Vampire exiting
%------------------------------------------------------------------------------