%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT314+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:49 AM UTC 2026
% Result : Theorem 11.03s 2.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 16
% Syntax : Number of formulae : 146 ( 17 unt; 1 def)
% Number of atoms : 964 ( 19 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 1349 ( 531 ~; 668 |; 118 &)
% ( 8 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 331 ( 0 sgn 312 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X2,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X2,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/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k3_lattices(X0,X1,X2) = k3_lattices(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_lattices) ).
fof(f12,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> k20_filter_2(X0,X1,X2) = a_3_0_filter_2(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_filter_2) ).
fof(f14,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_filter_2(X0,X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_filter_2) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k20_filter_2) ).
fof(f31,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f32,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f45,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f55,axiom,
! [X0,X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
<=> ? [X4,X5] :
( m1_subset_1(X4,u1_struct_0(X1))
& m1_subset_1(X5,u1_struct_0(X1))
& X0 = k3_lattices(X1,X4,X5)
& r2_hidden(X4,X2)
& r2_hidden(X5,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_3_0_filter_2) ).
fof(f74,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f75,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f78,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f79,axiom,
! [X0,X1,X2] :
~ ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f81,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X2,X1))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f91,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X2,X1))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f90]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
<=> ? [X4,X5] :
( m1_subset_1(X4,u1_struct_0(X1))
& m1_subset_1(X5,u1_struct_0(X1))
& X0 = k3_lattices(X1,X4,X5)
& r2_hidden(X4,X2)
& r2_hidden(X5,X3) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(ennf_transformation,[],[f55]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
<=> ? [X4,X5] :
( m1_subset_1(X4,u1_struct_0(X1))
& m1_subset_1(X5,u1_struct_0(X1))
& X0 = k3_lattices(X1,X4,X5)
& r2_hidden(X4,X2)
& r2_hidden(X5,X3) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f96]) ).
fof(f104,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f105,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f104]) ).
fof(f109,plain,
! [X0,X1,X2] :
( m1_subset_1(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f23]) ).
fof(f110,plain,
! [X0,X1,X2] :
( m1_subset_1(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f109]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k20_filter_2(X0,X1,X2) = a_3_0_filter_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k20_filter_2(X0,X1,X2) = a_3_0_filter_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0,X1,X2] :
( k3_lattices(X0,X1,X2) = k3_lattices(X0,X2,X1)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f118,plain,
! [X0,X1,X2] :
( k3_lattices(X0,X1,X2) = k3_lattices(X0,X2,X1)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f117]) ).
fof(f122,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(f123,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,[],[f122]) ).
fof(f124,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_filter_2(X0,X1,X2)
<=> ! [X3] :
( ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
| ~ m1_subset_1(X3,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f139,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f141,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f79]) ).
fof(f143,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f78]) ).
fof(f144,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f146,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f159,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k20_filter_2(sK0,sK1,sK2),k20_filter_2(sK0,sK2,sK1))
& ~ v1_xboole_0(sK2)
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK1)
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f91]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| ! [X4,X5] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| k3_lattices(X1,X4,X5) != X0
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X5,X3) ) )
& ( ? [X4,X5] :
( m1_subset_1(X4,u1_struct_0(X1))
& m1_subset_1(X5,u1_struct_0(X1))
& X0 = k3_lattices(X1,X4,X5)
& r2_hidden(X4,X2)
& r2_hidden(X5,X3) )
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X2,X3)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(nnf_transformation,[],[f97]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| ! [X4,X5] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| k3_lattices(X1,X4,X5) != X0
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X5,X3) ) )
& ( ? [X6,X7] :
( m1_subset_1(X6,u1_struct_0(X1))
& m1_subset_1(X7,u1_struct_0(X1))
& k3_lattices(X1,X6,X7) = X0
& r2_hidden(X6,X2)
& r2_hidden(X7,X3) )
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X2,X3)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(rectify,[],[f161]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| ! [X4,X5] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| k3_lattices(X1,X4,X5) != X0
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X5,X3) ) )
& ( ( m1_subset_1(sK4(X0,X1,X2,X3),u1_struct_0(X1))
& m1_subset_1(sK5(X0,X1,X2,X3),u1_struct_0(X1))
& k3_lattices(X1,sK4(X0,X1,X2,X3),sK5(X0,X1,X2,X3)) = X0
& r2_hidden(sK4(X0,X1,X2,X3),X2)
& r2_hidden(sK5(X0,X1,X2,X3),X3) )
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X2,X3)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X6,sK4(X0,X1,X2,X3)),skolemize(X7,sK5(X0,X1,X2,X3))],[f162]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) ) )
& ( ! [X3] :
( ( ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,X0) )
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) ) )
& ( ! [X3] :
( ( ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,X0) )
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f171]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) ) )
& ( ! [X4] :
( ( ( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) )
& ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1) ) )
| ~ m1_subset_1(X4,X0) )
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(rectify,[],[f172]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ( ( ~ r2_hidden(sK12(X0,X1,X2),X2)
| ~ r2_hidden(sK12(X0,X1,X2),X1) )
& ( r2_hidden(sK12(X0,X1,X2),X2)
| r2_hidden(sK12(X0,X1,X2),X1) )
& m1_subset_1(sK12(X0,X1,X2),X0) ) )
& ( ! [X4] :
( ( ( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) )
& ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1) ) )
| ~ m1_subset_1(X4,X0) )
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X3,sK12(X0,X1,X2))],[f173]) ).
fof(f189,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f159]) ).
fof(f190,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f159]) ).
fof(f191,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f159]) ).
fof(f192,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f159]) ).
fof(f193,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f159]) ).
fof(f194,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f159]) ).
fof(f195,plain,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f159]) ).
fof(f196,plain,
~ r1_filter_2(u1_struct_0(sK0),k20_filter_2(sK0,sK1,sK2),k20_filter_2(sK0,sK2,sK1)),
inference(cnf_transformation,[],[f159]) ).
fof(f200,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK5(X0,X1,X2,X3),X3)
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f163]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK4(X0,X1,X2,X3),X2)
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f163]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( k3_lattices(X1,sK4(X0,X1,X2,X3),sK5(X0,X1,X2,X3)) = X0
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f163]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| k3_lattices(X1,X4,X5) != X0
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X5,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f163]) ).
fof(f213,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f218,plain,
! [X2,X0,X1] :
( m1_subset_1(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f110]) ).
fof(f221,plain,
! [X2,X0,X1] :
( k20_filter_2(X0,X1,X2) = a_3_0_filter_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f222,plain,
! [X2,X0,X1] :
( k3_lattices(X0,X1,X2) = k3_lattices(X0,X2,X1)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f235,plain,
! [X0] :
( v4_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f238,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f250,plain,
! [X2,X0,X1] :
( r2_hidden(sK12(X0,X1,X2),X2)
| r1_filter_2(X0,X1,X2)
| r2_hidden(sK12(X0,X1,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f251,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| ~ r2_hidden(sK12(X0,X1,X2),X2)
| ~ r2_hidden(sK12(X0,X1,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f261,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f266,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f142]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f269,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f270,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f302,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k3_lattices(X1,X4,X5),a_3_0_filter_2(X1,X2,X3))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X5,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(equality_resolution,[],[f205]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK12(X0,X1,X2),X2)
| r1_filter_2(X0,X1,X2)
| ~ r2_hidden(sK12(X0,X1,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f251,f267]) ).
fof(f309,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k3_lattices(X1,X4,X5),a_3_0_filter_2(X1,X2,X3))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X5,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(forward_subsumption_resolution,[],[f302,f268]) ).
fof(f312,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k3_lattices(X1,X4,X5),a_3_0_filter_2(X1,X2,X3))
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X5,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(forward_subsumption_resolution,[],[f309,f268]) ).
fof(f313,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k3_lattices(X1,X4,X5),a_3_0_filter_2(X1,X2,X3))
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X5,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(forward_subsumption_resolution,[],[f312,f266]) ).
fof(f314,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k3_lattices(X1,X4,X5),a_3_0_filter_2(X1,X2,X3))
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X5,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(forward_subsumption_resolution,[],[f313,f266]) ).
fof(f315,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),k20_filter_2(sK0,sK2,sK1))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f196,f221]) ).
fof(f318,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),k20_filter_2(sK0,sK2,sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f315,f195]) ).
fof(f320,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),k20_filter_2(sK0,sK2,sK1))
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f318,f194]) ).
fof(f322,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),k20_filter_2(sK0,sK2,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f320,f193]) ).
fof(f324,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),k20_filter_2(sK0,sK2,sK1))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f322,f192]) ).
fof(f326,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),k20_filter_2(sK0,sK2,sK1))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f324,f191]) ).
fof(f328,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),k20_filter_2(sK0,sK2,sK1))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f326,f190]) ).
fof(f330,plain,
~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),k20_filter_2(sK0,sK2,sK1)),
inference(forward_subsumption_resolution,[],[f328,f189]) ).
fof(f331,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),a_3_0_filter_2(sK0,sK2,sK1))
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f330,f221]) ).
fof(f332,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),a_3_0_filter_2(sK0,sK2,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f331,f193]) ).
fof(f333,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),a_3_0_filter_2(sK0,sK2,sK1))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f332,f192]) ).
fof(f334,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),a_3_0_filter_2(sK0,sK2,sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f333,f195]) ).
fof(f335,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),a_3_0_filter_2(sK0,sK2,sK1))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f334,f194]) ).
fof(f336,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),a_3_0_filter_2(sK0,sK2,sK1))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f335,f191]) ).
fof(f337,plain,
( ~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),a_3_0_filter_2(sK0,sK2,sK1))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f336,f190]) ).
fof(f338,plain,
~ r1_filter_2(u1_struct_0(sK0),a_3_0_filter_2(sK0,sK1,sK2),a_3_0_filter_2(sK0,sK2,sK1)),
inference(forward_subsumption_resolution,[],[f337,f189]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK12(X0,X1,X2),X1)
| r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(sK12(X0,X1,X2),X2) ),
inference(resolution,[],[f308,f269]) ).
fof(f357,definition,
( spl25_3
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f358,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| spl25_3 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f359,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f396,plain,
! [X2,X0,X1] :
( m1_subset_1(a_3_0_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[],[f218,f221]) ).
fof(f397,plain,
! [X2,X0,X1] :
( m1_subset_1(a_3_0_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(duplicate_literal_removal,[],[f396]) ).
fof(f474,plain,
! [X2,X0,X1] :
( r2_hidden(sK12(X1,X2,X0),X2)
| r1_filter_2(X1,X2,X0)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(resolution,[],[f266,f250]) ).
fof(f587,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(k3_lattices(X0,X1,X2),a_3_0_filter_2(X0,X3,X4))
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X4)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(superposition,[],[f314,f222]) ).
fof(f590,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(k3_lattices(X0,X1,X2),a_3_0_filter_2(X0,X3,X4))
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X4)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f587]) ).
fof(f593,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(k3_lattices(X0,X1,X2),a_3_0_filter_2(X0,X3,X4))
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X4)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f590,f268]) ).
fof(f596,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(k3_lattices(X0,X1,X2),a_3_0_filter_2(X0,X3,X4))
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X4)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f593,f268]) ).
fof(f599,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(k3_lattices(X0,X1,X2),a_3_0_filter_2(X0,X3,X4))
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X4)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f596,f235]) ).
fof(f601,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(k3_lattices(X0,X1,X2),a_3_0_filter_2(X0,X3,X4))
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X4)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f599,f238]) ).
fof(f607,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X0,a_3_0_filter_2(X1,X4,X5))
| ~ r2_hidden(sK5(X0,X1,X2,X3),X4)
| ~ r2_hidden(sK4(X0,X1,X2,X3),X5)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[],[f601,f202]) ).
fof(f608,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(sK5(X0,X1,X2,X3),X4)
| r2_hidden(X0,a_3_0_filter_2(X1,X4,X5))
| ~ r2_hidden(sK4(X0,X1,X2,X3),X5)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(duplicate_literal_removal,[],[f607]) ).
fof(f629,plain,
! [X2,X0,X1] :
( r2_hidden(sK12(X0,X1,X2),X1)
| r1_filter_2(X0,X1,X2)
| m1_subset_1(sK12(X0,X1,X2),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(resolution,[],[f270,f250]) ).
fof(f630,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| ~ r2_hidden(sK4(X0,X1,X4,X2),X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X4,X2))
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X4,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(resolution,[],[f608,f200]) ).
fof(f632,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK4(X0,X1,X4,X2),X3)
| r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X4,X2))
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X2) ),
inference(duplicate_literal_removal,[],[f630]) ).
fof(f633,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X3,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X2)
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X3,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(resolution,[],[f632,f201]) ).
fof(f635,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_3_0_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,a_3_0_filter_2(X1,X3,X2))
| v1_xboole_0(X3)
| v1_xboole_0(X2) ),
inference(duplicate_literal_removal,[],[f633]) ).
fof(f765,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK12(X3,X4,a_3_0_filter_2(X0,X1,X2)),a_3_0_filter_2(X0,X2,X1))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| r1_filter_2(X3,X4,a_3_0_filter_2(X0,X1,X2))
| ~ r2_hidden(sK12(X3,X4,a_3_0_filter_2(X0,X1,X2)),X4)
| ~ m1_subset_1(a_3_0_filter_2(X0,X1,X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) ),
inference(resolution,[],[f635,f308]) ).
fof(f766,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK12(X3,a_3_0_filter_2(X0,X1,X2),X4),a_3_0_filter_2(X0,X2,X1))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| r1_filter_2(X3,a_3_0_filter_2(X0,X1,X2),X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(a_3_0_filter_2(X0,X1,X2),k1_zfmisc_1(X3))
| v1_xboole_0(X4)
| ~ m1_subset_1(sK12(X3,a_3_0_filter_2(X0,X1,X2),X4),X4) ),
inference(resolution,[],[f635,f340]) ).
fof(f772,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK12(X0,a_3_0_filter_2(X1,X2,X3),a_3_0_filter_2(X1,X3,X2)),a_3_0_filter_2(X1,X2,X3))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| r1_filter_2(X0,a_3_0_filter_2(X1,X2,X3),a_3_0_filter_2(X1,X3,X2))
| ~ m1_subset_1(a_3_0_filter_2(X1,X3,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(a_3_0_filter_2(X1,X2,X3),k1_zfmisc_1(X0)) ),
inference(factoring,[],[f765]) ).
fof(f1124,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| r1_filter_2(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1))
| ~ m1_subset_1(a_3_0_filter_2(X0,X2,X1),k1_zfmisc_1(X3))
| ~ m1_subset_1(a_3_0_filter_2(X0,X1,X2),k1_zfmisc_1(X3))
| v1_xboole_0(a_3_0_filter_2(X0,X2,X1))
| ~ m1_subset_1(sK12(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1)),a_3_0_filter_2(X0,X2,X1))
| r1_filter_2(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1))
| r2_hidden(sK12(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1)),a_3_0_filter_2(X0,X1,X2))
| ~ m1_subset_1(a_3_0_filter_2(X0,X2,X1),k1_zfmisc_1(X3))
| ~ m1_subset_1(a_3_0_filter_2(X0,X1,X2),k1_zfmisc_1(X3))
| v1_xboole_0(X3) ),
inference(resolution,[],[f766,f250]) ).
fof(f1134,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| r1_filter_2(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1))
| ~ m1_subset_1(a_3_0_filter_2(X0,X2,X1),k1_zfmisc_1(X3))
| ~ m1_subset_1(a_3_0_filter_2(X0,X1,X2),k1_zfmisc_1(X3))
| v1_xboole_0(a_3_0_filter_2(X0,X2,X1))
| ~ m1_subset_1(sK12(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1)),a_3_0_filter_2(X0,X2,X1))
| r2_hidden(sK12(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1)),a_3_0_filter_2(X0,X1,X2))
| v1_xboole_0(X3) ),
inference(duplicate_literal_removal,[],[f1124]) ).
fof(f1136,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| r1_filter_2(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1))
| ~ m1_subset_1(a_3_0_filter_2(X0,X2,X1),k1_zfmisc_1(X3))
| ~ m1_subset_1(a_3_0_filter_2(X0,X1,X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(sK12(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1)),a_3_0_filter_2(X0,X2,X1))
| r2_hidden(sK12(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1)),a_3_0_filter_2(X0,X1,X2))
| v1_xboole_0(X3) ),
inference(forward_subsumption_resolution,[],[f1134,f474]) ).
fof(f1137,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| r1_filter_2(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1))
| ~ m1_subset_1(a_3_0_filter_2(X0,X2,X1),k1_zfmisc_1(X3))
| ~ m1_subset_1(a_3_0_filter_2(X0,X1,X2),k1_zfmisc_1(X3))
| r2_hidden(sK12(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1)),a_3_0_filter_2(X0,X1,X2))
| v1_xboole_0(X3) ),
inference(forward_subsumption_resolution,[],[f1136,f629]) ).
fof(f1138,plain,
! [X2,X3,X0,X1] :
( r1_filter_2(X3,a_3_0_filter_2(X0,X1,X2),a_3_0_filter_2(X0,X2,X1))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v10_lattices(X0)
| ~ m1_subset_1(a_3_0_filter_2(X0,X2,X1),k1_zfmisc_1(X3))
| ~ m1_subset_1(a_3_0_filter_2(X0,X1,X2),k1_zfmisc_1(X3))
| v1_xboole_0(X3) ),
inference(forward_subsumption_resolution,[],[f1137,f772]) ).
fof(f1139,plain,
( ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| v1_xboole_0(sK2)
| v1_xboole_0(sK1)
| ~ v10_lattices(sK0)
| ~ m1_subset_1(a_3_0_filter_2(sK0,sK2,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(a_3_0_filter_2(sK0,sK1,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolution,[],[f1138,f338]) ).
fof(f1148,plain,
( ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| v1_xboole_0(sK2)
| v1_xboole_0(sK1)
| ~ v10_lattices(sK0)
| ~ m1_subset_1(a_3_0_filter_2(sK0,sK1,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1139,f397]) ).
fof(f1150,plain,
( ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| v1_xboole_0(sK2)
| v1_xboole_0(sK1)
| ~ v10_lattices(sK0)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1148,f397]) ).
fof(f1152,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| v1_xboole_0(sK2)
| v1_xboole_0(sK1)
| ~ v10_lattices(sK0)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1150,f189]) ).
fof(f1154,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| v1_xboole_0(sK2)
| v1_xboole_0(sK1)
| ~ v10_lattices(sK0)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1152,f192]) ).
fof(f1156,plain,
( v3_struct_0(sK0)
| v1_xboole_0(sK2)
| v1_xboole_0(sK1)
| ~ v10_lattices(sK0)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1154,f194]) ).
fof(f1158,plain,
( v1_xboole_0(sK2)
| v1_xboole_0(sK1)
| ~ v10_lattices(sK0)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1156,f191]) ).
fof(f1160,plain,
( v1_xboole_0(sK1)
| ~ v10_lattices(sK0)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1158,f195]) ).
fof(f1162,plain,
( ~ v10_lattices(sK0)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1160,f193]) ).
fof(f1164,plain,
v1_xboole_0(u1_struct_0(sK0)),
inference(forward_subsumption_resolution,[],[f1162,f190]) ).
fof(f1167,plain,
( $false
| spl25_3 ),
inference(forward_subsumption_resolution,[],[f1164,f358]) ).
fof(f1168,plain,
spl25_3,
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1238,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl25_3 ),
inference(resolution,[],[f359,f213]) ).
fof(f1239,plain,
( ~ l1_struct_0(sK0)
| ~ spl25_3 ),
inference(forward_subsumption_resolution,[],[f1238,f191]) ).
fof(f1241,plain,
( ~ l2_lattices(sK0)
| ~ spl25_3 ),
inference(resolution,[],[f1239,f261]) ).
fof(f1242,plain,
( ~ l3_lattices(sK0)
| ~ spl25_3 ),
inference(resolution,[],[f1241,f238]) ).
fof(f1243,plain,
( $false
| ~ spl25_3 ),
inference(forward_subsumption_resolution,[],[f1242,f189]) ).
fof(f1244,plain,
~ spl25_3,
inference(avatar_contradiction_clause,[],[f1243]) ).
cnf(s17,plain,
spl25_3,
inference(sat_conversion,[],[f1168]) ).
cnf(s18,plain,
~ spl25_3,
inference(sat_conversion,[],[f1244]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s17,s18]) ).
fof(f1245,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT314+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:31:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.03/2.51 % (4043873)Detected formulas, will run a generic FOF schedule.
% 11.03/2.51 % (4043884)dis-21_1_sil=8000:lcm=predicate:random_seed=4009911355: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)
% 11.03/2.51 % (4043878)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=739050294:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.03/2.51 % (4043881)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1211426587:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.03/2.51 % (4043882)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1570875563:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.03/2.51 % (4043879)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=2359420506:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.03/2.51 % (4043880)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=2060669426:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.03/2.51 % (4043883)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2523862039:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.03/2.51 % (4043881)Refutation not found, incomplete strategy
% 11.03/2.51 % (4043881)------------------------------
% 11.03/2.51 % (4043881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043881)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043881)Termination reason: Refutation not found, incomplete strategy
% 11.03/2.51 % (4043881)Time elapsed: 0.004 s
% 11.03/2.51 % (4043881)Peak memory usage: 88 MB
% 11.03/2.51 % (4043881)Instructions burned: 4 (million)
% 11.03/2.51 % (4043884)Instruction limit reached!
% 11.03/2.51 % (4043884)------------------------------
% 11.03/2.51 % (4043884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043884)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043884)Termination reason: Instruction limit
% 11.03/2.51 % (4043884)Termination phase: Saturation
% 11.03/2.51 % (4043884)Time elapsed: 0.044 s
% 11.03/2.51 % (4043884)Peak memory usage: 90 MB
% 11.03/2.51 % (4043884)Instructions burned: 132 (million)
% 11.03/2.51 % (4043883)Instruction limit reached!
% 11.03/2.51 % (4043883)------------------------------
% 11.03/2.51 % (4043883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043883)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043883)Termination reason: Instruction limit
% 11.03/2.51 % (4043883)Termination phase: Saturation
% 11.03/2.51 % (4043883)Time elapsed: 0.060 s
% 11.03/2.51 % (4043883)Peak memory usage: 90 MB
% 11.03/2.51 % (4043883)Instructions burned: 142 (million)
% 11.03/2.51 % (4043882)Instruction limit reached!
% 11.03/2.51 % (4043882)------------------------------
% 11.03/2.51 % (4043882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043882)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043882)Termination reason: Instruction limit
% 11.03/2.51 % (4043882)Termination phase: Saturation
% 11.03/2.51 % (4043882)Time elapsed: 0.073 s
% 11.03/2.51 % (4043882)Peak memory usage: 88 MB
% 11.03/2.51 % (4043882)Instructions burned: 119 (million)
% 11.03/2.51 % (4043892)lrs+10_1_sil=8000:sp=occurrence:random_seed=2683359411:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.03/2.51 % (4043893)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2540888490:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.03/2.51 % (4043893)Instruction limit reached!
% 11.03/2.51 % (4043893)------------------------------
% 11.03/2.51 % (4043893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043893)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043893)Termination reason: Instruction limit
% 11.03/2.51 % (4043893)Termination phase: Saturation
% 11.03/2.51 % (4043893)Time elapsed: 0.044 s
% 11.03/2.51 % (4043893)Peak memory usage: 90 MB
% 11.03/2.51 % (4043893)Instructions burned: 159 (million)
% 11.03/2.51 % (4043894)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2073961078:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.03/2.51 % (4043881)------------------------------
% 11.03/2.51 % (4043881)------------------------------
% 11.03/2.51 % (4043892)Instruction limit reached!
% 11.03/2.51 % (4043892)------------------------------
% 11.03/2.51 % (4043892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043892)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043892)Termination reason: Instruction limit
% 11.03/2.51 % (4043892)Termination phase: Saturation
% 11.03/2.51 % (4043892)Time elapsed: 0.161 s
% 11.03/2.51 % (4043892)Peak memory usage: 90 MB
% 11.03/2.51 % (4043892)Instructions burned: 286 (million)
% 11.03/2.51 % (4043898)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=413278460:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.03/2.51 % (4043899)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=791955758:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.03/2.51 % (4043898)Instruction limit reached!
% 11.03/2.51 % (4043898)------------------------------
% 11.03/2.51 % (4043898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043898)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043898)Termination reason: Instruction limit
% 11.03/2.51 % (4043898)Termination phase: Saturation
% 11.03/2.51 % (4043898)Time elapsed: 0.070 s
% 11.03/2.51 % (4043898)Peak memory usage: 91 MB
% 11.03/2.51 % (4043898)Instructions burned: 252 (million)
% 11.03/2.51 % (4043899)Refutation not found, incomplete strategy
% 11.03/2.51 % (4043899)------------------------------
% 11.03/2.51 % (4043899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043899)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043899)Termination reason: Refutation not found, incomplete strategy
% 11.03/2.51 % (4043899)Time elapsed: 0.030 s
% 11.03/2.51 % (4043899)Peak memory usage: 89 MB
% 11.03/2.51 % (4043899)Instructions burned: 48 (million)
% 11.03/2.51 % (4043894)Instruction limit reached!
% 11.03/2.51 % (4043894)------------------------------
% 11.03/2.51 % (4043894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043894)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043894)Termination reason: Instruction limit
% 11.03/2.51 % (4043894)Termination phase: Saturation
% 11.03/2.51 % (4043894)Time elapsed: 0.217 s
% 11.03/2.51 % (4043894)Peak memory usage: 91 MB
% 11.03/2.51 % (4043894)Instructions burned: 326 (million)
% 11.03/2.51 % (4043900)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1105032965:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.03/2.51 % (4043903)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2526408891:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.03/2.51 % (4043903)Instruction limit reached!
% 11.03/2.51 % (4043903)------------------------------
% 11.03/2.51 % (4043903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043903)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043903)Termination reason: Instruction limit
% 11.03/2.51 % (4043903)Termination phase: Saturation
% 11.03/2.51 % (4043903)Time elapsed: 0.041 s
% 11.03/2.51 % (4043903)Peak memory usage: 91 MB
% 11.03/2.51 % (4043903)Instructions burned: 114 (million)
% 11.03/2.51 % (4043904)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1325170520:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.03/2.51 % (4043904)Instruction limit reached!
% 11.03/2.51 % (4043904)------------------------------
% 11.03/2.51 % (4043904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043904)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043904)Termination reason: Instruction limit
% 11.03/2.51 % (4043904)Termination phase: Saturation
% 11.03/2.51 % (4043904)Time elapsed: 0.069 s
% 11.03/2.51 % (4043904)Peak memory usage: 89 MB
% 11.03/2.51 % (4043904)Instructions burned: 127 (million)
% 11.03/2.51 % (4043899)------------------------------
% 11.03/2.51 % (4043899)------------------------------
% 11.03/2.51 % (4043907)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3347184406:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.03/2.51 % (4043907)Instruction limit reached!
% 11.03/2.51 % (4043907)------------------------------
% 11.03/2.51 % (4043907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043907)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043907)Termination reason: Instruction limit
% 11.03/2.51 % (4043907)Termination phase: Saturation
% 11.03/2.51 % (4043907)Time elapsed: 0.036 s
% 11.03/2.51 % (4043907)Peak memory usage: 89 MB
% 11.03/2.51 % (4043907)Instructions burned: 117 (million)
% 11.03/2.51 % (4043909)lrs+10_1_sil=8000:sp=occurrence:random_seed=1064027851:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.03/2.51 % (4043910)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3031314729:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.03/2.51 % (4043912)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2725138461:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 11.03/2.51 % (4043910)Refutation not found, incomplete strategy
% 11.03/2.51 % (4043910)------------------------------
% 11.03/2.51 % (4043910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043910)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043910)Termination reason: Refutation not found, incomplete strategy
% 11.03/2.51 % (4043910)Time elapsed: 0.011 s
% 11.03/2.51 % (4043910)Peak memory usage: 89 MB
% 11.03/2.51 % (4043910)Instructions burned: 16 (million)
% 11.03/2.51 % (4043910)------------------------------
% 11.03/2.51 % (4043910)------------------------------
% 11.03/2.51 % (4043916)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=475936316:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 11.03/2.51 % (4043912)First to succeed.
% 11.03/2.51 % (4043912)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4043873"
% 11.03/2.51 % (4043909)Instruction limit reached!
% 11.03/2.51 % (4043909)------------------------------
% 11.03/2.51 % (4043909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043909)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043909)Termination reason: Instruction limit
% 11.03/2.51 % (4043909)Termination phase: Saturation
% 11.03/2.51 % (4043909)Time elapsed: 0.493 s
% 11.03/2.51 % (4043909)Peak memory usage: 96 MB
% 11.03/2.51 % (4043909)Instructions burned: 907 (million)
% 11.03/2.51 % (4043916)Instruction limit reached!
% 11.03/2.51 % (4043916)------------------------------
% 11.03/2.51 % (4043916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.51 % (4043916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.51 % (4043916)CaDiCaL version: 2.1.3
% 11.03/2.51 % (4043916)Termination reason: Instruction limit
% 11.03/2.51 % (4043916)Termination phase: Saturation
% 11.03/2.51 % (4043916)Time elapsed: 0.079 s
% 11.03/2.51 % (4043916)Peak memory usage: 91 MB
% 11.03/2.51 % (4043916)Instructions burned: 135 (million)
% 11.03/2.51 % (4043912)Refutation found. Thanks to Tanya!
% 11.03/2.51 % SZS status Theorem for theBenchmark
% 11.03/2.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.70 % (4043912)------------------------------
% 0.17/2.70 % (4043912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.70 % (4043912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.70 % (4043912)CaDiCaL version: 2.1.3
% 0.17/2.70 % (4043912)Termination reason: Refutation
% 0.17/2.70 % (4043912)Time elapsed: 0.440 s
% 0.17/2.70 % (4043912)Peak memory usage: 132 MB
% 0.17/2.70 % (4043912)Instructions burned: 1211 (million)
% 0.17/2.70 % (4043912)------------------------------
% 0.17/2.70 % (4043912)------------------------------
% 0.17/2.70 % (4043873)Success in time 1.645 s
% 0.17/2.70 % Vampire exiting
%------------------------------------------------------------------------------