%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT328+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:59 AM UTC 2026
% Result : Theorem 6.88s 2.01s
% Output : Refutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 33
% Syntax : Number of formulae : 286 ( 45 unt; 18 def)
% Number of atoms : 1284 ( 85 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 1808 ( 810 ~; 860 |; 86 &)
% ( 26 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 16 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 254 ( 0 sgn 248 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f9,axiom,
! [X0,X1] :
( X1 = k1_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f13,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(f15,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f20,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(f28,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f42,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> k6_domain_1(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(f43,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(f44,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f47,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> r3_lattices(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
fof(f50,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r1_lattices(X0,X1,X2)
& r1_lattices(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_lattices) ).
fof(f53,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(f55,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(f63,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1))
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f64,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1))
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f63]) ).
fof(f66,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f67,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f66]) ).
fof(f72,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,[],[f13]) ).
fof(f73,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,[],[f72]) ).
fof(f76,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f78,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f79,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,[],[f20]) ).
fof(f80,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,[],[f79]) ).
fof(f83,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f84,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f83]) ).
fof(f90,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f91,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f90]) ).
fof(f92,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,[],[f43]) ).
fof(f93,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,[],[f92]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f94]) ).
fof(f98,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f99,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f98]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f103]) ).
fof(f108,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f109,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f108]) ).
fof(f111,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,[],[f55]) ).
fof(f112,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,[],[f111]) ).
fof(f116,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k22_filter_2(sK0,sK1,sK1),k6_domain_1(u1_struct_0(sK0),sK1))
& m1_subset_1(sK1,u1_struct_0(sK0))
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f64]) ).
fof(f121,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ r2_hidden(X2,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f122,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ( ( sK3(X0,X1) != X0
| ~ r2_hidden(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| r2_hidden(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f122]) ).
fof(f139,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,[],[f93]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ( ( r3_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X1,X2) )
& ( r1_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X1,X2) ) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(nnf_transformation,[],[f95]) ).
fof(f141,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,[],[f112]) ).
fof(f142,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,[],[f141]) ).
fof(f143,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f116]) ).
fof(f144,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f116]) ).
fof(f145,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f116]) ).
fof(f146,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f116]) ).
fof(f147,plain,
~ r1_filter_2(u1_struct_0(sK0),k22_filter_2(sK0,sK1,sK1),k6_domain_1(u1_struct_0(sK0),sK1)),
inference(cnf_transformation,[],[f116]) ).
fof(f149,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f150,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f152,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f154,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f166,plain,
! [X0,X1] :
( r2_hidden(sK3(X0,X1),X1)
| sK3(X0,X1) = X0
| k1_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f167,plain,
! [X0,X1] :
( sK3(X0,X1) != X0
| k1_tarski(X0) = X1
| ~ r2_hidden(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f168,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,[],[f73]) ).
fof(f171,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f173,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f174,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f175,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,[],[f80]) ).
fof(f182,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f204,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k6_domain_1(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f206,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,[],[f139]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ r1_lattices(X0,X2,X1)
| ~ r1_lattices(X0,X1,X2)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f219,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,[],[f142]) ).
fof(f220,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k22_filter_2(X0,X1,X2))
| r3_lattices(X0,X1,X3)
| ~ 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,[],[f142]) ).
fof(f221,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,[],[f142]) ).
fof(f228,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,[],[f206]) ).
fof(f229,definition,
sF19 = u1_struct_0(sK0),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f230,plain,
u1_struct_0(sK0) = sF19,
inference(reorient_equations,[],[f229]) ).
fof(f231,definition,
sF20 = k22_filter_2(sK0,sK1,sK1),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f232,plain,
k22_filter_2(sK0,sK1,sK1) = sF20,
inference(reorient_equations,[],[f231]) ).
fof(f233,definition,
sF21 = k6_domain_1(sF19,sK1),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f234,plain,
k6_domain_1(sF19,sK1) = sF21,
inference(reorient_equations,[],[f233]) ).
fof(f235,plain,
~ r1_filter_2(sF19,sF20,sF21),
inference(definition_folding,[],[f147,f234,f230,f232,f230]) ).
fof(f236,plain,
m1_subset_1(sK1,sF19),
inference(definition_folding,[],[f146,f230]) ).
fof(f237,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,[],[f228]) ).
fof(f243,plain,
( v1_xboole_0(sF19)
| k6_domain_1(sF19,sK1) = k1_tarski(sK1) ),
inference(resolution,[],[f204,f236]) ).
fof(f244,plain,
( sF21 = k1_tarski(sK1)
| v1_xboole_0(sF19) ),
inference(forward_demodulation,[],[f243,f234]) ).
fof(f246,definition,
( spl22_1
<=> v1_xboole_0(sF19) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f247,plain,
( ~ v1_xboole_0(sF19)
| spl22_1 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( v1_xboole_0(sF19)
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f250,definition,
( spl22_2
<=> sF21 = k1_tarski(sK1) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f252,plain,
( sF21 = k1_tarski(sK1)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f244,f250,f246]) ).
fof(f263,plain,
( m2_lattice4(sF20,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(superposition,[],[f168,f232]) ).
fof(f264,plain,
( m2_lattice4(sF20,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(duplicate_literal_removal,[],[f263]) ).
fof(f265,plain,
( m2_lattice4(sF20,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f264,f145]) ).
fof(f266,plain,
( m2_lattice4(sF20,sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f265,f144]) ).
fof(f267,plain,
( m2_lattice4(sF20,sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f266,f143]) ).
fof(f268,plain,
( ~ m1_subset_1(sK1,sF19)
| m2_lattice4(sF20,sK0) ),
inference(forward_demodulation,[],[f267,f230]) ).
fof(f269,plain,
m2_lattice4(sF20,sK0),
inference(forward_subsumption_resolution,[],[f268,f236]) ).
fof(f270,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f220,f232]) ).
fof(f271,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(duplicate_literal_removal,[],[f270]) ).
fof(f272,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f271,f145]) ).
fof(f273,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f272,f144]) ).
fof(f274,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f273,f143]) ).
fof(f275,plain,
! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f274,f230]) ).
fof(f276,plain,
! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1) ),
inference(forward_demodulation,[],[f275,f230]) ).
fof(f277,plain,
! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1) ),
inference(forward_subsumption_resolution,[],[f276,f236]) ).
fof(f279,definition,
( spl22_4
<=> r3_lattices(sK0,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f280,plain,
( r3_lattices(sK0,sK1,sK1)
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f281,plain,
( ~ r3_lattices(sK0,sK1,sK1)
| spl22_4 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f283,definition,
( spl22_5
<=> ! [X0] :
( ~ m1_subset_1(X0,sF19)
| r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,sF20) ) ),
introduced(definition,[new_symbols(definition,[spl22_5])],[avatar_definition]) ).
fof(f284,plain,
( ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20) )
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f285,plain,
( ~ spl22_4
| spl22_5 ),
inference(avatar_split_clause,[],[f277,f283,f279]) ).
fof(f286,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f219,f232]) ).
fof(f287,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(duplicate_literal_removal,[],[f286]) ).
fof(f296,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF19)
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,sF19)
| r3_lattices(sK0,X1,X1) ),
inference(superposition,[],[f211,f230]) ).
fof(f297,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF19)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,sF19)
| r3_lattices(sK0,X1,X1) ),
inference(forward_subsumption_resolution,[],[f296,f145]) ).
fof(f298,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF19)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ m1_subset_1(X1,sF19)
| r3_lattices(sK0,X1,X1) ),
inference(forward_subsumption_resolution,[],[f297,f143]) ).
fof(f300,definition,
( spl22_6
<=> ! [X1] :
( ~ m1_subset_1(X1,sF19)
| r3_lattices(sK0,X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl22_6])],[avatar_definition]) ).
fof(f301,plain,
( ! [X1] :
( r3_lattices(sK0,X1,X1)
| ~ m1_subset_1(X1,sF19) )
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f303,definition,
( spl22_7
<=> v9_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_7])],[avatar_definition]) ).
fof(f304,plain,
( v9_lattices(sK0)
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f305,plain,
( ~ v9_lattices(sK0)
| spl22_7 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f307,definition,
( spl22_8
<=> v8_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_8])],[avatar_definition]) ).
fof(f308,plain,
( v8_lattices(sK0)
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f309,plain,
( ~ v8_lattices(sK0)
| spl22_8 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f311,definition,
( spl22_9
<=> v6_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_9])],[avatar_definition]) ).
fof(f312,plain,
( v6_lattices(sK0)
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f313,plain,
( ~ v6_lattices(sK0)
| spl22_9 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f315,definition,
( spl22_10
<=> ! [X0] : ~ m1_subset_1(X0,sF19) ),
introduced(definition,[new_symbols(definition,[spl22_10])],[avatar_definition]) ).
fof(f316,plain,
( ! [X0] : ~ m1_subset_1(X0,sF19)
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f317,plain,
( spl22_6
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9
| spl22_10 ),
inference(avatar_split_clause,[],[f298,f315,f311,f307,f303,f300]) ).
fof(f323,plain,
! [X0] :
( r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f221,f232]) ).
fof(f324,plain,
! [X0] :
( r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(duplicate_literal_removal,[],[f323]) ).
fof(f332,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF19))
| ~ m2_lattice4(X0,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f175,f230]) ).
fof(f333,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF19))
| ~ m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f332,f145]) ).
fof(f336,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF19))
| ~ m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f333,f144]) ).
fof(f337,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sF19))
| ~ m2_lattice4(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f336,f143]) ).
fof(f346,plain,
l2_lattices(sK0),
inference(resolution,[],[f173,f143]) ).
fof(f347,plain,
l1_lattices(sK0),
inference(resolution,[],[f174,f143]) ).
fof(f348,plain,
( ~ v1_xboole_0(sF19)
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0) ),
inference(superposition,[],[f182,f230]) ).
fof(f349,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f348,f248]) ).
fof(f350,plain,
( ~ l1_struct_0(sK0)
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f349,f145]) ).
fof(f351,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| v9_lattices(sK0) ),
inference(resolution,[],[f149,f143]) ).
fof(f352,plain,
( ~ v10_lattices(sK0)
| v9_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f351,f145]) ).
fof(f353,plain,
v9_lattices(sK0),
inference(forward_subsumption_resolution,[],[f352,f144]) ).
fof(f354,plain,
( $false
| spl22_7 ),
inference(forward_subsumption_resolution,[],[f353,f305]) ).
fof(f355,plain,
spl22_7,
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f360,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| v8_lattices(sK0) ),
inference(resolution,[],[f150,f143]) ).
fof(f361,plain,
( ~ v10_lattices(sK0)
| v8_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f360,f145]) ).
fof(f362,plain,
v8_lattices(sK0),
inference(forward_subsumption_resolution,[],[f361,f144]) ).
fof(f363,plain,
( $false
| spl22_8 ),
inference(forward_subsumption_resolution,[],[f362,f309]) ).
fof(f364,plain,
spl22_8,
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f365,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| v6_lattices(sK0) ),
inference(resolution,[],[f152,f143]) ).
fof(f366,plain,
( ~ v10_lattices(sK0)
| v6_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f365,f145]) ).
fof(f367,plain,
v6_lattices(sK0),
inference(forward_subsumption_resolution,[],[f366,f144]) ).
fof(f368,plain,
( $false
| spl22_9 ),
inference(forward_subsumption_resolution,[],[f367,f313]) ).
fof(f369,plain,
spl22_9,
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f370,plain,
( ~ m1_subset_1(sK1,sF19)
| spl22_4
| ~ spl22_6 ),
inference(resolution,[],[f301,f281]) ).
fof(f374,plain,
( $false
| spl22_4
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f370,f236]) ).
fof(f375,plain,
( spl22_4
| ~ spl22_6 ),
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f382,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f287,f280]) ).
fof(f383,plain,
( ! [X0] :
( r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f324,f280]) ).
fof(f384,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f382,f145]) ).
fof(f385,plain,
( ! [X0] :
( r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f383,f145]) ).
fof(f386,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f384,f144]) ).
fof(f387,plain,
( ! [X0] :
( r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f385,f144]) ).
fof(f388,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f386,f143]) ).
fof(f389,plain,
( ! [X0] :
( r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f387,f143]) ).
fof(f390,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl22_4 ),
inference(forward_demodulation,[],[f388,f230]) ).
fof(f391,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl22_4 ),
inference(forward_demodulation,[],[f389,f230]) ).
fof(f392,plain,
( ! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1) )
| ~ spl22_4 ),
inference(forward_demodulation,[],[f390,f230]) ).
fof(f393,plain,
( ! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ m1_subset_1(X0,sF19)
| r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1) )
| ~ spl22_4 ),
inference(forward_demodulation,[],[f391,f230]) ).
fof(f394,plain,
( ! [X0] :
( r3_lattices(sK0,X0,sK1)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f392,f236]) ).
fof(f395,plain,
( ! [X0] :
( ~ r3_lattices(sK0,sK1,X0)
| r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| ~ r3_lattices(sK0,X0,sK1) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f393,f236]) ).
fof(f404,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,sK1,X0)
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_5 ),
inference(resolution,[],[f284,f207]) ).
fof(f405,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,sK1,X0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_5 ),
inference(forward_subsumption_resolution,[],[f404,f145]) ).
fof(f406,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,sK1,X0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_5
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f405,f312]) ).
fof(f407,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,sK1,X0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_5
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f406,f308]) ).
fof(f408,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,sK1,X0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f407,f304]) ).
fof(f409,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,sK1,X0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f408,f143]) ).
fof(f410,plain,
( ! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_demodulation,[],[f409,f230]) ).
fof(f411,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f410,f236]) ).
fof(f412,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,sK1,X0) )
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_demodulation,[],[f411,f230]) ).
fof(f413,plain,
( ! [X0] :
( r1_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19) )
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(duplicate_literal_removal,[],[f412]) ).
fof(f414,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl22_4 ),
inference(resolution,[],[f394,f207]) ).
fof(f415,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f414,f145]) ).
fof(f416,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl22_4
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f415,f312]) ).
fof(f417,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f416,f308]) ).
fof(f418,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f417,f304]) ).
fof(f419,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f418,f143]) ).
fof(f420,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_demodulation,[],[f419,f230]) ).
fof(f421,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,X0,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(duplicate_literal_removal,[],[f420]) ).
fof(f422,plain,
( ! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,X0,sK1) )
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_demodulation,[],[f421,f230]) ).
fof(f423,plain,
( ! [X0] :
( r1_lattices(sK0,X0,sK1)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19) )
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f422,f236]) ).
fof(f428,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| ~ r1_lattices(sK0,X0,sK1)
| sK1 = X0
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v4_lattices(sK0)
| ~ l2_lattices(sK0) )
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(resolution,[],[f413,f214]) ).
fof(f430,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| sK1 = X0
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v4_lattices(sK0)
| ~ l2_lattices(sK0) )
| ~ spl22_4
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f428,f423]) ).
fof(f431,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| sK1 = X0
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v4_lattices(sK0)
| ~ l2_lattices(sK0) )
| ~ spl22_4
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f430,f145]) ).
fof(f432,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| sK1 = X0
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v4_lattices(sK0) )
| ~ spl22_4
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f431,f346]) ).
fof(f433,plain,
( ! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| sK1 = X0
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v4_lattices(sK0) )
| ~ spl22_4
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_demodulation,[],[f432,f230]) ).
fof(f434,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| sK1 = X0
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v4_lattices(sK0) )
| ~ spl22_4
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f433,f236]) ).
fof(f435,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| sK1 = X0
| ~ v4_lattices(sK0) )
| ~ spl22_4
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_demodulation,[],[f434,f230]) ).
fof(f436,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| sK1 = X0
| ~ v4_lattices(sK0) )
| ~ spl22_4
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(duplicate_literal_removal,[],[f435]) ).
fof(f438,definition,
( spl22_11
<=> v4_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_11])],[avatar_definition]) ).
fof(f440,plain,
( ~ v4_lattices(sK0)
| spl22_11 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f442,definition,
( spl22_12
<=> ! [X0] :
( ~ m1_subset_1(X0,sF19)
| sK1 = X0
| ~ r2_hidden(X0,sF20) ) ),
introduced(definition,[new_symbols(definition,[spl22_12])],[avatar_definition]) ).
fof(f443,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF19)
| sK1 = X0
| ~ r2_hidden(X0,sF20) )
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f444,plain,
( ~ spl22_11
| spl22_12
| ~ spl22_4
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9 ),
inference(avatar_split_clause,[],[f436,f311,f307,f303,f283,f279,f442,f438]) ).
fof(f449,plain,
( r2_hidden(sK1,sF20)
| ~ m1_subset_1(sK1,sF19)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(sK1,sF19)
| ~ spl22_4
| ~ spl22_6 ),
inference(resolution,[],[f395,f301]) ).
fof(f452,plain,
( r2_hidden(sK1,sF20)
| ~ m1_subset_1(sK1,sF19)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ spl22_4
| ~ spl22_6 ),
inference(duplicate_literal_removal,[],[f449]) ).
fof(f454,plain,
( r2_hidden(sK1,sF20)
| ~ m1_subset_1(sK1,sF19)
| ~ spl22_4
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f452,f301]) ).
fof(f456,plain,
( r2_hidden(sK1,sF20)
| ~ spl22_4
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f454,f236]) ).
fof(f479,plain,
l1_struct_0(sK0),
inference(resolution,[],[f171,f347]) ).
fof(f480,plain,
( $false
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f479,f350]) ).
fof(f481,plain,
~ spl22_1,
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f498,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,sK0)
| m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,X1) ),
inference(resolution,[],[f217,f337]) ).
fof(f503,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| m1_subset_1(X0,sF19) ),
inference(resolution,[],[f498,f269]) ).
fof(f565,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| v4_lattices(sK0) ),
inference(resolution,[],[f154,f143]) ).
fof(f566,plain,
( ~ v10_lattices(sK0)
| v4_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f565,f145]) ).
fof(f567,plain,
v4_lattices(sK0),
inference(forward_subsumption_resolution,[],[f566,f144]) ).
fof(f568,plain,
( $false
| spl22_11 ),
inference(forward_subsumption_resolution,[],[f567,f440]) ).
fof(f569,plain,
spl22_11,
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f570,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| sK1 = X0 )
| ~ spl22_12 ),
inference(forward_subsumption_resolution,[],[f443,f503]) ).
fof(f705,definition,
( spl22_18
<=> m1_subset_1(sF20,k1_zfmisc_1(sF19)) ),
introduced(definition,[new_symbols(definition,[spl22_18])],[avatar_definition]) ).
fof(f706,plain,
( m1_subset_1(sF20,k1_zfmisc_1(sF19))
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f707,plain,
( ~ m1_subset_1(sF20,k1_zfmisc_1(sF19))
| spl22_18 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f710,plain,
( ~ m2_lattice4(sF20,sK0)
| spl22_18 ),
inference(resolution,[],[f707,f337]) ).
fof(f711,plain,
( $false
| spl22_18 ),
inference(forward_subsumption_resolution,[],[f710,f269]) ).
fof(f712,plain,
spl22_18,
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f719,plain,
( v1_xboole_0(sF19)
| r1_filter_2(sF19,sF20,sF20)
| ~ spl22_18 ),
inference(resolution,[],[f706,f237]) ).
fof(f724,plain,
( r1_filter_2(sF19,sF20,sF20)
| spl22_1
| ~ spl22_18 ),
inference(forward_subsumption_resolution,[],[f719,f247]) ).
fof(f807,plain,
( ! [X0] :
( sK3(X0,sF20) = X0
| sK1 = sK3(X0,sF20)
| k1_tarski(X0) = sF20 )
| ~ spl22_12 ),
inference(resolution,[],[f166,f570]) ).
fof(f812,plain,
( ! [X0] :
( X0 != X0
| k1_tarski(X0) = sF20
| ~ r2_hidden(X0,sF20)
| sK1 = sK3(X0,sF20)
| k1_tarski(X0) = sF20 )
| ~ spl22_12 ),
inference(superposition,[],[f167,f807]) ).
fof(f819,plain,
( ! [X0] :
( X0 != X0
| k1_tarski(X0) = sF20
| ~ r2_hidden(X0,sF20)
| sK1 = sK3(X0,sF20) )
| ~ spl22_12 ),
inference(duplicate_literal_removal,[],[f812]) ).
fof(f820,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| k1_tarski(X0) = sF20
| sK1 = sK3(X0,sF20) )
| ~ spl22_12 ),
inference(trivial_inequality_removal,[],[f819]) ).
fof(f830,plain,
( sF20 = k1_tarski(sK1)
| sK1 = sK3(sK1,sF20)
| ~ spl22_4
| ~ spl22_6
| ~ spl22_12 ),
inference(resolution,[],[f820,f456]) ).
fof(f838,plain,
( sF20 = sF21
| sK1 = sK3(sK1,sF20)
| ~ spl22_2
| ~ spl22_4
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_demodulation,[],[f830,f252]) ).
fof(f840,definition,
( spl22_26
<=> sK1 = sK3(sK1,sF20) ),
introduced(definition,[new_symbols(definition,[spl22_26])],[avatar_definition]) ).
fof(f842,plain,
( sK1 = sK3(sK1,sF20)
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f844,definition,
( spl22_27
<=> sF20 = sF21 ),
introduced(definition,[new_symbols(definition,[spl22_27])],[avatar_definition]) ).
fof(f845,plain,
( sF20 != sF21
| spl22_27 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f846,plain,
( sF20 = sF21
| ~ spl22_27 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f853,definition,
( spl22_29
<=> r2_hidden(sK1,sF20) ),
introduced(definition,[new_symbols(definition,[spl22_29])],[avatar_definition]) ).
fof(f855,plain,
( r2_hidden(sK1,sF20)
| ~ spl22_29 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f857,plain,
( $false
| ~ spl22_10 ),
inference(resolution,[],[f316,f236]) ).
fof(f859,plain,
~ spl22_10,
inference(avatar_contradiction_clause,[],[f857]) ).
fof(f862,plain,
( spl22_29
| ~ spl22_4
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f456,f300,f279,f853]) ).
fof(f863,plain,
( spl22_26
| spl22_27
| ~ spl22_2
| ~ spl22_4
| ~ spl22_6
| ~ spl22_12 ),
inference(avatar_split_clause,[],[f838,f442,f300,f279,f250,f844,f840]) ).
fof(f866,plain,
( ~ r1_filter_2(sF19,sF20,sF20)
| ~ spl22_27 ),
inference(superposition,[],[f235,f846]) ).
fof(f891,plain,
( $false
| spl22_1
| ~ spl22_18
| ~ spl22_27 ),
inference(forward_subsumption_resolution,[],[f866,f724]) ).
fof(f892,plain,
( spl22_1
| ~ spl22_18
| ~ spl22_27 ),
inference(avatar_contradiction_clause,[],[f891]) ).
fof(f902,plain,
( sK1 != sK1
| sF20 = k1_tarski(sK1)
| ~ r2_hidden(sK1,sF20)
| ~ spl22_26 ),
inference(superposition,[],[f167,f842]) ).
fof(f903,plain,
( sF20 = k1_tarski(sK1)
| ~ r2_hidden(sK1,sF20)
| ~ spl22_26 ),
inference(trivial_inequality_removal,[],[f902]) ).
fof(f904,plain,
( sF20 = k1_tarski(sK1)
| ~ spl22_26
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f903,f855]) ).
fof(f905,plain,
( sF20 = sF21
| ~ spl22_2
| ~ spl22_26
| ~ spl22_29 ),
inference(forward_demodulation,[],[f904,f252]) ).
fof(f906,plain,
( $false
| ~ spl22_2
| ~ spl22_26
| spl22_27
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f905,f845]) ).
fof(f907,plain,
( ~ spl22_2
| ~ spl22_26
| spl22_27
| ~ spl22_29 ),
inference(avatar_contradiction_clause,[],[f906]) ).
cnf(s1,plain,
( spl22_1
| spl22_2 ),
inference(sat_conversion,[],[f253]) ).
cnf(s3,plain,
( ~ spl22_4
| spl22_5 ),
inference(sat_conversion,[],[f285]) ).
cnf(s4,plain,
( spl22_6
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9
| spl22_10 ),
inference(sat_conversion,[],[f317]) ).
cnf(s5,plain,
spl22_7,
inference(sat_conversion,[],[f355]) ).
cnf(s6,plain,
spl22_8,
inference(sat_conversion,[],[f364]) ).
cnf(s7,plain,
spl22_9,
inference(sat_conversion,[],[f369]) ).
cnf(s8,plain,
( spl22_4
| ~ spl22_6 ),
inference(sat_conversion,[],[f375]) ).
cnf(s9,plain,
( ~ spl22_4
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9
| ~ spl22_11
| spl22_12 ),
inference(sat_conversion,[],[f444]) ).
cnf(s10,plain,
~ spl22_1,
inference(sat_conversion,[],[f481]) ).
cnf(s11,plain,
spl22_11,
inference(sat_conversion,[],[f569]) ).
cnf(s15,plain,
spl22_18,
inference(sat_conversion,[],[f712]) ).
cnf(s22,plain,
~ spl22_10,
inference(sat_conversion,[],[f859]) ).
cnf(s23,plain,
( ~ spl22_4
| ~ spl22_6
| spl22_29 ),
inference(sat_conversion,[],[f862]) ).
cnf(s24,plain,
( ~ spl22_2
| ~ spl22_4
| ~ spl22_6
| ~ spl22_12
| spl22_26
| spl22_27 ),
inference(sat_conversion,[],[f863]) ).
cnf(s27,plain,
( spl22_1
| ~ spl22_18
| ~ spl22_27 ),
inference(sat_conversion,[],[f892]) ).
cnf(s28,plain,
( ~ spl22_2
| ~ spl22_26
| spl22_27
| ~ spl22_29 ),
inference(sat_conversion,[],[f907]) ).
cnf(s31,plain,
~ spl22_27,
inference(rat,[],[s27,s15,s10]) ).
cnf(s32,plain,
( ~ spl22_4
| ~ spl22_5
| ~ spl22_7
| ~ spl22_8
| ~ spl22_9
| spl22_12 ),
inference(rat,[],[s9,s11]) ).
cnf(s33,plain,
spl22_6,
inference(rat,[],[s4,s22,s7,s6,s5]) ).
cnf(s34,plain,
spl22_4,
inference(rat,[],[s8,s33]) ).
cnf(s35,plain,
spl22_29,
inference(rat,[],[s23,s33,s34]) ).
cnf(s36,plain,
spl22_5,
inference(rat,[],[s3,s34]) ).
cnf(s37,plain,
spl22_12,
inference(rat,[],[s32,s34,s7,s6,s5,s36]) ).
cnf(s39,plain,
spl22_2,
inference(rat,[],[s1,s10]) ).
cnf(s40,plain,
~ spl22_26,
inference(rat,[],[s28,s35,s31,s39]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s24,s31,s37,s34,s33,s40,s39]) ).
fof(f908,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT328+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:44:48 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.88/2.01 % (2711605)Detected formulas, will run a generic FOF schedule.
% 6.88/2.01 % (2711616)dis-21_1_sil=8000:lcm=predicate:random_seed=3054050538:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.88/2.01 % (2711613)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3994269938:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.88/2.01 % (2711610)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=3740818294:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.88/2.01 % (2711612)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=3792143829:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.88/2.01 % (2711611)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=834704362:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.88/2.01 % (2711614)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2711967435:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.88/2.01 % (2711615)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3890440188:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.88/2.01 % (2711616)Instruction limit reached!
% 6.88/2.01 % (2711616)------------------------------
% 6.88/2.01 % (2711616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711616)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711616)Termination reason: Instruction limit
% 6.88/2.01 % (2711616)Termination phase: Saturation
% 6.88/2.01 % (2711616)Time elapsed: 0.042 s
% 6.88/2.01 % (2711616)Peak memory usage: 90 MB
% 6.88/2.01 % (2711616)Instructions burned: 131 (million)
% 6.88/2.01 % (2711613)Refutation not found, incomplete strategy
% 6.88/2.01 % (2711613)------------------------------
% 6.88/2.01 % (2711613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711613)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711613)Termination reason: Refutation not found, incomplete strategy
% 6.88/2.01 % (2711613)Time elapsed: 0.003 s
% 6.88/2.01 % (2711613)Peak memory usage: 88 MB
% 6.88/2.01 % (2711613)Instructions burned: 2 (million)
% 6.88/2.01 % (2711614)Instruction limit reached!
% 6.88/2.01 % (2711614)------------------------------
% 6.88/2.01 % (2711614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711614)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711614)Termination reason: Instruction limit
% 6.88/2.01 % (2711614)Termination phase: Saturation
% 6.88/2.01 % (2711614)Time elapsed: 0.075 s
% 6.88/2.01 % (2711614)Peak memory usage: 88 MB
% 6.88/2.01 % (2711614)Instructions burned: 120 (million)
% 6.88/2.01 % (2711615)Instruction limit reached!
% 6.88/2.01 % (2711615)------------------------------
% 6.88/2.01 % (2711615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711615)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711615)Termination reason: Instruction limit
% 6.88/2.01 % (2711615)Termination phase: Saturation
% 6.88/2.01 % (2711615)Time elapsed: 0.095 s
% 6.88/2.01 % (2711615)Peak memory usage: 90 MB
% 6.88/2.01 % (2711615)Instructions burned: 140 (million)
% 6.88/2.01 % (2711624)lrs+10_1_sil=8000:sp=occurrence:random_seed=3545947367:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.88/2.01 % (2711624)Instruction limit reached!
% 6.88/2.01 % (2711624)------------------------------
% 6.88/2.01 % (2711624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711624)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711624)Termination reason: Instruction limit
% 6.88/2.01 % (2711624)Termination phase: Saturation
% 6.88/2.01 % (2711624)Time elapsed: 0.097 s
% 6.88/2.01 % (2711624)Peak memory usage: 91 MB
% 6.88/2.01 % (2711624)Instructions burned: 285 (million)
% 6.88/2.01 % (2711625)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1431616930:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.88/2.01 % (2711613)------------------------------
% 6.88/2.01 % (2711613)------------------------------
% 6.88/2.01 % (2711625)Refutation not found, incomplete strategy
% 6.88/2.01 % (2711625)------------------------------
% 6.88/2.01 % (2711625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711625)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711625)Termination reason: Refutation not found, incomplete strategy
% 6.88/2.01 % (2711625)Time elapsed: 0.010 s
% 6.88/2.01 % (2711625)Peak memory usage: 89 MB
% 6.88/2.01 % (2711625)Instructions burned: 14 (million)
% 6.88/2.01 % (2711626)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1891066038:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.88/2.01 % (2711628)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=12108093:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.88/2.01 % (2711630)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2550162578:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.88/2.01 % (2711630)Refutation not found, incomplete strategy
% 6.88/2.01 % (2711630)------------------------------
% 6.88/2.01 % (2711630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711630)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711630)Termination reason: Refutation not found, incomplete strategy
% 6.88/2.01 % (2711630)Time elapsed: 0.006 s
% 6.88/2.01 % (2711630)Peak memory usage: 88 MB
% 6.88/2.01 % (2711630)Instructions burned: 8 (million)
% 6.88/2.01 % (2711628)Instruction limit reached!
% 6.88/2.01 % (2711628)------------------------------
% 6.88/2.01 % (2711628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711628)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711628)Termination reason: Instruction limit
% 6.88/2.01 % (2711628)Termination phase: Saturation
% 6.88/2.01 % (2711628)Time elapsed: 0.078 s
% 6.88/2.01 % (2711628)Peak memory usage: 90 MB
% 6.88/2.01 % (2711628)Instructions burned: 248 (million)
% 6.88/2.01 % (2711626)Instruction limit reached!
% 6.88/2.01 % (2711626)------------------------------
% 6.88/2.01 % (2711626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711626)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711626)Termination reason: Instruction limit
% 6.88/2.01 % (2711626)Termination phase: Saturation
% 6.88/2.01 % (2711626)Time elapsed: 0.215 s
% 6.88/2.01 % (2711626)Peak memory usage: 91 MB
% 6.88/2.01 % (2711626)Instructions burned: 325 (million)
% 6.88/2.01 % (2711625)------------------------------
% 6.88/2.01 % (2711625)------------------------------
% 6.88/2.01 % (2711634)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1215421547:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.88/2.01 % (2711635)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4135549796:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.88/2.01 % (2711636)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4152640173:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.88/2.01 % (2711630)------------------------------
% 6.88/2.01 % (2711630)------------------------------
% 6.88/2.01 % (2711610)First to succeed.
% 6.88/2.01 % (2711635)Instruction limit reached!
% 6.88/2.01 % (2711635)------------------------------
% 6.88/2.01 % (2711635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711635)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711635)Termination reason: Instruction limit
% 6.88/2.01 % (2711635)Termination phase: Saturation
% 6.88/2.01 % (2711635)Time elapsed: 0.078 s
% 6.88/2.01 % (2711635)Peak memory usage: 91 MB
% 6.88/2.01 % (2711635)Instructions burned: 113 (million)
% 6.88/2.01 % (2711610)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2711605"
% 6.88/2.01 % (2711612)Also succeeded, but the first one will report.
% 6.88/2.01 % (2711636)Instruction limit reached!
% 6.88/2.01 % (2711636)------------------------------
% 6.88/2.01 % (2711636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711636)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711636)Termination reason: Instruction limit
% 6.88/2.01 % (2711636)Termination phase: Saturation
% 6.88/2.01 % (2711636)Time elapsed: 0.065 s
% 6.88/2.01 % (2711636)Peak memory usage: 89 MB
% 6.88/2.01 % (2711636)Instructions burned: 128 (million)
% 6.88/2.01 % (2711611)Also succeeded, but the first one will report.
% 6.88/2.01 % (2711640)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=242814687:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.88/2.01 % (2711641)lrs+10_1_sil=8000:sp=occurrence:random_seed=48818606:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.88/2.01 % (2711642)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4037357415:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.88/2.01 % (2711642)Refutation not found, incomplete strategy
% 6.88/2.01 % (2711642)------------------------------
% 6.88/2.01 % (2711642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711642)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711642)Termination reason: Refutation not found, incomplete strategy
% 6.88/2.01 % (2711642)Time elapsed: 0.004 s
% 6.88/2.01 % (2711642)Peak memory usage: 88 MB
% 6.88/2.01 % (2711642)Instructions burned: 5 (million)
% 6.88/2.01 % (2711640)Instruction limit reached!
% 6.88/2.01 % (2711640)------------------------------
% 6.88/2.01 % (2711640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.01 % (2711640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.01 % (2711640)CaDiCaL version: 2.1.3
% 6.88/2.01 % (2711640)Termination reason: Instruction limit
% 6.88/2.01 % (2711640)Termination phase: Saturation
% 6.88/2.01 % (2711640)Time elapsed: 0.072 s
% 6.88/2.01 % (2711640)Peak memory usage: 89 MB
% 6.88/2.01 % (2711640)Instructions burned: 114 (million)
% 6.88/2.01 % (2711634)Also succeeded, but the first one will report.
% 6.88/2.01 % (2711610)Refutation found. Thanks to Tanya!
% 6.88/2.01 % SZS status Theorem for theBenchmark
% 6.88/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 8.55/2.10 % (2711610)------------------------------
% 8.55/2.10 % (2711610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10 % (2711610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10 % (2711610)CaDiCaL version: 2.1.3
% 8.55/2.10 % (2711610)Termination reason: Refutation
% 8.55/2.10 % (2711610)Time elapsed: 0.713 s
% 8.55/2.10 % (2711610)Peak memory usage: 129 MB
% 8.55/2.10 % (2711610)Instructions burned: 1052 (million)
% 8.55/2.10 % (2711610)------------------------------
% 8.55/2.10 % (2711610)------------------------------
% 8.55/2.10 % (2711605)Success in time 1.151 s
% 8.55/2.10 % Vampire exiting
%------------------------------------------------------------------------------