%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT307+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 11:46:45 AM UTC 2026
% Result : Theorem 41.68s 8.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 30
% Syntax : Number of formulae : 259 ( 33 unt; 12 def)
% Number of atoms : 1225 ( 98 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1644 ( 678 ~; 793 |; 119 &)
% ( 23 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 12 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 198 ( 1 sgn 192 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,axiom,
! [X0,X1] : k3_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f574,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f21524,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ~ ( X1 != u1_struct_0(X0)
& ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( r1_tarski(X1,X2)
& v1_filter_0(X2,X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_filter_0) ).
fof(f21600,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f22747,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f22752,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f22780,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f22828,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_lattice2) ).
fof(f22852,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f25346,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( m1_filter_0(X2,X0)
=> m1_filter_0(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_filter_1) ).
fof(f34606,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f34636,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f34637,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f34675,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f34676,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f34694,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_filter_2) ).
fof(f34695,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ~ ( X1 != u1_struct_0(X0)
& ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r1_tarski(X1,X2)
& r2_filter_2(X0,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_filter_2) ).
fof(f34696,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ~ ( X1 != u1_struct_0(X0)
& ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r1_tarski(X1,X2)
& r2_filter_2(X0,X2) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f34695]) ).
fof(f34724,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(rectify,[],[f58]) ).
fof(f34968,plain,
? [X0] :
( ? [X1] :
( X1 != u1_struct_0(X0)
& ! [X2] :
( ~ r1_tarski(X1,X2)
| ~ r2_filter_2(X0,X2)
| ~ m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& v14_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f34696]) ).
fof(f34969,plain,
? [X0] :
( ? [X1] :
( X1 != u1_struct_0(X0)
& ! [X2] :
( ~ r1_tarski(X1,X2)
| ~ r2_filter_2(X0,X2)
| ~ m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& v14_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f34968]) ).
fof(f35074,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22828]) ).
fof(f35075,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35074]) ).
fof(f35122,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34675]) ).
fof(f35123,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35122]) ).
fof(f35134,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34694]) ).
fof(f35135,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35134]) ).
fof(f35786,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22780]) ).
fof(f35787,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35786]) ).
fof(f35860,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22752]) ).
fof(f35861,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35860]) ).
fof(f36116,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22852]) ).
fof(f36129,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22747]) ).
fof(f36130,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36129]) ).
fof(f36314,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_filter_0(k5_subset_1(u1_struct_0(X0),X1,X2),X0)
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f25346]) ).
fof(f36315,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_filter_0(k5_subset_1(u1_struct_0(X0),X1,X2),X0)
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36314]) ).
fof(f36318,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21600]) ).
fof(f36319,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36318]) ).
fof(f36431,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34606]) ).
fof(f36432,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36431]) ).
fof(f36481,plain,
! [X0] :
( ! [X1] :
( u1_struct_0(X0) = X1
| ? [X2] :
( r1_tarski(X1,X2)
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21524]) ).
fof(f36482,plain,
! [X0] :
( ! [X1] :
( u1_struct_0(X0) = X1
| ? [X2] :
( r1_tarski(X1,X2)
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36481]) ).
fof(f36485,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f34637]) ).
fof(f36486,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f36485]) ).
fof(f36487,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f34636]) ).
fof(f36488,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f36487]) ).
fof(f36803,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f574]) ).
fof(f36804,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f36803]) ).
fof(f41843,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34676]) ).
fof(f41844,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f41843]) ).
fof(f41894,definition,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP19(X0) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f41895,plain,
! [X0] :
( sP19(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f35861,f41894]) ).
fof(f42151,plain,
( sK202 != u1_struct_0(sK201)
& ! [X2] :
( ~ r1_tarski(sK202,X2)
| ~ r2_filter_2(sK201,X2)
| ~ m2_filter_2(X2,sK201) )
& m2_filter_2(sK202,sK201)
& v14_lattices(sK201)
& ~ v3_struct_0(sK201)
& v10_lattices(sK201)
& l3_lattices(sK201) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK201,sK202]),skolemize(X0,sK201),skolemize(X1,sK202)],[f34969]) ).
fof(f42184,plain,
! [X0] :
( ( ( v14_lattices(X0)
| ~ v13_lattices(k1_lattice2(X0)) )
& ( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f35075]) ).
fof(f42208,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f35123]) ).
fof(f42217,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f35135]) ).
fof(f42469,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP19(X0) ),
inference(nnf_transformation,[],[f41894]) ).
fof(f42668,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f36432]) ).
fof(f42700,plain,
! [X0] :
( ! [X1] :
( u1_struct_0(X0) = X1
| ( r1_tarski(X1,sK526(X0,X1))
& v1_filter_0(sK526(X0,X1),X0)
& m1_filter_0(sK526(X0,X1),X0) )
| ~ m1_filter_0(X1,X0) )
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK526]),skolemize(X2,sK526(X0,X1))],[f36482]) ).
fof(f44418,plain,
l3_lattices(sK201),
inference(cnf_transformation,[],[f42151]) ).
fof(f44419,plain,
v10_lattices(sK201),
inference(cnf_transformation,[],[f42151]) ).
fof(f44420,plain,
~ v3_struct_0(sK201),
inference(cnf_transformation,[],[f42151]) ).
fof(f44421,plain,
v14_lattices(sK201),
inference(cnf_transformation,[],[f42151]) ).
fof(f44422,plain,
m2_filter_2(sK202,sK201),
inference(cnf_transformation,[],[f42151]) ).
fof(f44423,plain,
! [X2] :
( ~ r2_filter_2(sK201,X2)
| ~ r1_tarski(sK202,X2)
| ~ m2_filter_2(X2,sK201) ),
inference(cnf_transformation,[],[f42151]) ).
fof(f44424,plain,
sK202 != u1_struct_0(sK201),
inference(cnf_transformation,[],[f42151]) ).
fof(f44610,plain,
! [X0] :
( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f42184]) ).
fof(f44744,plain,
! [X0,X1] :
( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f42208]) ).
fof(f44745,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,k1_lattice2(X0))
| m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f42208]) ).
fof(f44764,plain,
! [X0,X1] :
( ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f42217]) ).
fof(f45703,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f35787]) ).
fof(f45888,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f42469]) ).
fof(f45897,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP19(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f41895]) ).
fof(f46343,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f36116]) ).
fof(f46355,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f36130]) ).
fof(f46592,plain,
! [X2,X0,X1] :
( m1_filter_0(k5_subset_1(u1_struct_0(X0),X1,X2),X0)
| ~ m1_filter_0(X2,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f36315]) ).
fof(f46594,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f36319]) ).
fof(f46730,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f42668]) ).
fof(f46731,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f42668]) ).
fof(f46797,plain,
! [X0,X1] :
( m1_filter_0(sK526(X0,X1),X0)
| u1_struct_0(X0) = X1
| ~ m1_filter_0(X1,X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f42700]) ).
fof(f46798,plain,
! [X0,X1] :
( v1_filter_0(sK526(X0,X1),X0)
| u1_struct_0(X0) = X1
| ~ m1_filter_0(X1,X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f42700]) ).
fof(f46799,plain,
! [X0,X1] :
( r1_tarski(X1,sK526(X0,X1))
| u1_struct_0(X0) = X1
| ~ m1_filter_0(X1,X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f42700]) ).
fof(f46806,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f36486]) ).
fof(f46807,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f36488]) ).
fof(f47218,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f47282,plain,
! [X2,X0,X1] :
( k3_xboole_0(X1,X2) = k5_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f36804]) ).
fof(f47328,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f34724]) ).
fof(f54295,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k7_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f41844]) ).
fof(f54704,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k4_xboole_0(X1,k4_xboole_0(X1,X2)) ),
inference(definition_unfolding,[],[f47282,f47218]) ).
fof(f54750,plain,
! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,X0)) = X0,
inference(definition_unfolding,[],[f47328,f47218]) ).
fof(f57202,plain,
( v3_struct_0(sK201)
| u1_struct_0(sK201) = u1_struct_0(k1_lattice2(sK201)) ),
inference(resolution,[],[f45703,f44418]) ).
fof(f57203,plain,
u1_struct_0(sK201) = u1_struct_0(k1_lattice2(sK201)),
inference(forward_subsumption_resolution,[],[f57202,f44420]) ).
fof(f57208,plain,
! [X0,X1] :
( m1_filter_0(X0,k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f46730,f44744]) ).
fof(f57216,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK201)))
| ~ m1_filter_0(X0,k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201)) ),
inference(superposition,[],[f46594,f57203]) ).
fof(f57226,plain,
( v3_struct_0(sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| k7_filter_2(sK201,sK202) = k15_filter_2(sK201,sK202) ),
inference(resolution,[],[f46806,f44422]) ).
fof(f57243,plain,
( v3_struct_0(sK201)
| sP19(sK201)
| ~ l3_lattices(sK201) ),
inference(resolution,[],[f45897,f44419]) ).
fof(f57244,plain,
( sP19(sK201)
| ~ l3_lattices(sK201) ),
inference(forward_subsumption_resolution,[],[f57243,f44420]) ).
fof(f57245,plain,
sP19(sK201),
inference(forward_subsumption_resolution,[],[f57244,f44418]) ).
fof(f57260,definition,
( spl1606_82
<=> v3_struct_0(k1_lattice2(sK201)) ),
introduced(definition,[new_symbols(definition,[spl1606_82])],[avatar_definition]) ).
fof(f57261,plain,
( ~ v3_struct_0(k1_lattice2(sK201))
| spl1606_82 ),
inference(avatar_component_clause,[],[f57260]) ).
fof(f57262,plain,
( v3_struct_0(k1_lattice2(sK201))
| ~ spl1606_82 ),
inference(avatar_component_clause,[],[f57260]) ).
fof(f57288,plain,
! [X0,X1] :
( m1_filter_0(k5_subset_1(u1_struct_0(sK201),X0,X1),k1_lattice2(sK201))
| ~ m1_filter_0(X1,k1_lattice2(sK201))
| ~ m1_filter_0(X0,k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201)) ),
inference(superposition,[],[f46592,f57203]) ).
fof(f57359,definition,
( spl1606_83
<=> l3_lattices(k1_lattice2(sK201)) ),
introduced(definition,[new_symbols(definition,[spl1606_83])],[avatar_definition]) ).
fof(f57360,plain,
( l3_lattices(k1_lattice2(sK201))
| ~ spl1606_83 ),
inference(avatar_component_clause,[],[f57359]) ).
fof(f57361,plain,
( ~ l3_lattices(k1_lattice2(sK201))
| spl1606_83 ),
inference(avatar_component_clause,[],[f57359]) ).
fof(f57363,definition,
( spl1606_84
<=> v10_lattices(k1_lattice2(sK201)) ),
introduced(definition,[new_symbols(definition,[spl1606_84])],[avatar_definition]) ).
fof(f57364,plain,
( v10_lattices(k1_lattice2(sK201))
| ~ spl1606_84 ),
inference(avatar_component_clause,[],[f57363]) ).
fof(f57365,plain,
( ~ v10_lattices(k1_lattice2(sK201))
| spl1606_84 ),
inference(avatar_component_clause,[],[f57363]) ).
fof(f57373,plain,
! [X0,X1] :
( m1_filter_0(X0,k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f57208,f46355]) ).
fof(f57381,definition,
( spl1606_87
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK201)))
| ~ m1_filter_0(X0,k1_lattice2(sK201)) ) ),
introduced(definition,[new_symbols(definition,[spl1606_87])],[avatar_definition]) ).
fof(f57382,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK201)))
| ~ m1_filter_0(X0,k1_lattice2(sK201)) )
| ~ spl1606_87 ),
inference(avatar_component_clause,[],[f57381]) ).
fof(f57383,plain,
( ~ spl1606_83
| ~ spl1606_84
| spl1606_82
| spl1606_87 ),
inference(avatar_split_clause,[],[f57216,f57381,f57260,f57363,f57359]) ).
fof(f57397,plain,
( ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| k7_filter_2(sK201,sK202) = k15_filter_2(sK201,sK202) ),
inference(forward_subsumption_resolution,[],[f57226,f44420]) ).
fof(f57408,definition,
( spl1606_92
<=> ! [X0,X1] :
( m1_filter_0(k5_subset_1(u1_struct_0(sK201),X0,X1),k1_lattice2(sK201))
| ~ m1_filter_0(X0,k1_lattice2(sK201))
| ~ m1_filter_0(X1,k1_lattice2(sK201)) ) ),
introduced(definition,[new_symbols(definition,[spl1606_92])],[avatar_definition]) ).
fof(f57409,plain,
( ! [X0,X1] :
( m1_filter_0(k5_subset_1(u1_struct_0(sK201),X0,X1),k1_lattice2(sK201))
| ~ m1_filter_0(X0,k1_lattice2(sK201))
| ~ m1_filter_0(X1,k1_lattice2(sK201)) )
| ~ spl1606_92 ),
inference(avatar_component_clause,[],[f57408]) ).
fof(f57410,plain,
( ~ spl1606_83
| ~ spl1606_84
| spl1606_82
| spl1606_92 ),
inference(avatar_split_clause,[],[f57288,f57408,f57260,f57363,f57359]) ).
fof(f57426,definition,
( spl1606_95
<=> v13_lattices(k1_lattice2(sK201)) ),
introduced(definition,[new_symbols(definition,[spl1606_95])],[avatar_definition]) ).
fof(f57427,plain,
( ~ v13_lattices(k1_lattice2(sK201))
| spl1606_95 ),
inference(avatar_component_clause,[],[f57426]) ).
fof(f57428,plain,
( v13_lattices(k1_lattice2(sK201))
| ~ spl1606_95 ),
inference(avatar_component_clause,[],[f57426]) ).
fof(f57453,plain,
! [X0,X1] :
( m1_filter_0(X0,k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f57373,f46343]) ).
fof(f57455,plain,
( ~ l3_lattices(sK201)
| k7_filter_2(sK201,sK202) = k15_filter_2(sK201,sK202) ),
inference(forward_subsumption_resolution,[],[f57397,f44419]) ).
fof(f57468,plain,
k7_filter_2(sK201,sK202) = k15_filter_2(sK201,sK202),
inference(forward_subsumption_resolution,[],[f57455,f44418]) ).
fof(f57477,plain,
( ~ l3_lattices(sK201)
| spl1606_83 ),
inference(resolution,[],[f57361,f46343]) ).
fof(f57478,plain,
( $false
| spl1606_83 ),
inference(forward_subsumption_resolution,[],[f57477,f44418]) ).
fof(f57479,plain,
spl1606_83,
inference(avatar_contradiction_clause,[],[f57478]) ).
fof(f57489,plain,
( v3_struct_0(sK201)
| ~ l3_lattices(sK201)
| ~ spl1606_82 ),
inference(resolution,[],[f57262,f46355]) ).
fof(f57490,plain,
( ~ l3_lattices(sK201)
| ~ spl1606_82 ),
inference(forward_subsumption_resolution,[],[f57489,f44420]) ).
fof(f57491,plain,
( $false
| ~ spl1606_82 ),
inference(forward_subsumption_resolution,[],[f57490,f44418]) ).
fof(f57492,plain,
~ spl1606_82,
inference(avatar_contradiction_clause,[],[f57491]) ).
fof(f57494,plain,
( ~ sP19(sK201)
| spl1606_84 ),
inference(resolution,[],[f57365,f45888]) ).
fof(f57495,plain,
( $false
| spl1606_84 ),
inference(forward_subsumption_resolution,[],[f57494,f57245]) ).
fof(f57496,plain,
spl1606_84,
inference(avatar_contradiction_clause,[],[f57495]) ).
fof(f57539,plain,
( m1_filter_2(k7_filter_2(sK201,sK202),k1_lattice2(sK201))
| v3_struct_0(sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| ~ m2_filter_2(sK202,sK201) ),
inference(superposition,[],[f46807,f57468]) ).
fof(f57542,plain,
( m1_filter_2(k7_filter_2(sK201,sK202),k1_lattice2(sK201))
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| ~ m2_filter_2(sK202,sK201) ),
inference(forward_subsumption_resolution,[],[f57539,f44420]) ).
fof(f57544,plain,
( m1_filter_2(k7_filter_2(sK201,sK202),k1_lattice2(sK201))
| ~ l3_lattices(sK201)
| ~ m2_filter_2(sK202,sK201) ),
inference(forward_subsumption_resolution,[],[f57542,f44419]) ).
fof(f57546,plain,
( m1_filter_2(k7_filter_2(sK201,sK202),k1_lattice2(sK201))
| ~ m2_filter_2(sK202,sK201) ),
inference(forward_subsumption_resolution,[],[f57544,f44418]) ).
fof(f57548,plain,
m1_filter_2(k7_filter_2(sK201,sK202),k1_lattice2(sK201)),
inference(forward_subsumption_resolution,[],[f57546,f44422]) ).
fof(f57597,plain,
( m1_filter_0(k7_filter_2(sK201,sK202),k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201)) ),
inference(resolution,[],[f57548,f46730]) ).
fof(f57598,plain,
( m1_filter_0(k7_filter_2(sK201,sK202),k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82 ),
inference(forward_subsumption_resolution,[],[f57597,f57261]) ).
fof(f57602,plain,
( m1_filter_0(k7_filter_2(sK201,sK202),k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_84 ),
inference(forward_subsumption_resolution,[],[f57598,f57364]) ).
fof(f57606,plain,
( m1_filter_0(k7_filter_2(sK201,sK202),k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84 ),
inference(forward_subsumption_resolution,[],[f57602,f57360]) ).
fof(f57706,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,k1_lattice2(sK201))
| ~ m1_filter_0(X1,k1_lattice2(sK201))
| m1_filter_2(k5_subset_1(u1_struct_0(sK201),X0,X1),k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201)) )
| ~ spl1606_92 ),
inference(resolution,[],[f57409,f46731]) ).
fof(f57707,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,k1_lattice2(sK201))
| ~ m1_filter_0(X1,k1_lattice2(sK201))
| m1_filter_2(k5_subset_1(u1_struct_0(sK201),X0,X1),k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201)) )
| spl1606_82
| ~ spl1606_92 ),
inference(forward_subsumption_resolution,[],[f57706,f57261]) ).
fof(f57710,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,k1_lattice2(sK201))
| ~ m1_filter_0(X1,k1_lattice2(sK201))
| m1_filter_2(k5_subset_1(u1_struct_0(sK201),X0,X1),k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201)) )
| spl1606_82
| ~ spl1606_84
| ~ spl1606_92 ),
inference(forward_subsumption_resolution,[],[f57707,f57364]) ).
fof(f57713,plain,
( ! [X0,X1] :
( m1_filter_2(k5_subset_1(u1_struct_0(sK201),X0,X1),k1_lattice2(sK201))
| ~ m1_filter_0(X1,k1_lattice2(sK201))
| ~ m1_filter_0(X0,k1_lattice2(sK201)) )
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_92 ),
inference(forward_subsumption_resolution,[],[f57710,f57360]) ).
fof(f58487,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK201))
| k7_filter_2(sK201,X0) = X0
| v3_struct_0(sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201) )
| ~ spl1606_87 ),
inference(resolution,[],[f57382,f54295]) ).
fof(f58491,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK201))
| k7_filter_2(sK201,X0) = X0
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201) )
| ~ spl1606_87 ),
inference(forward_subsumption_resolution,[],[f58487,f44420]) ).
fof(f58492,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK201))
| k7_filter_2(sK201,X0) = X0
| ~ l3_lattices(sK201) )
| ~ spl1606_87 ),
inference(forward_subsumption_resolution,[],[f58491,f44419]) ).
fof(f58493,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK201))
| k7_filter_2(sK201,X0) = X0 )
| ~ spl1606_87 ),
inference(forward_subsumption_resolution,[],[f58492,f44418]) ).
fof(f58505,plain,
( ! [X0] :
( k7_filter_2(sK201,X0) = X0
| ~ v10_lattices(k1_lattice2(sK201))
| ~ m2_filter_2(X0,sK201)
| v3_struct_0(sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201) )
| ~ spl1606_87 ),
inference(resolution,[],[f58493,f57453]) ).
fof(f58516,plain,
( ! [X0] :
( k7_filter_2(sK201,X0) = X0
| ~ m2_filter_2(X0,sK201)
| v3_struct_0(sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201) )
| ~ spl1606_84
| ~ spl1606_87 ),
inference(forward_subsumption_resolution,[],[f58505,f57364]) ).
fof(f58520,plain,
( ! [X0] :
( k7_filter_2(sK201,X0) = X0
| ~ m2_filter_2(X0,sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201) )
| ~ spl1606_84
| ~ spl1606_87 ),
inference(forward_subsumption_resolution,[],[f58516,f44420]) ).
fof(f58524,plain,
( ! [X0] :
( k7_filter_2(sK201,X0) = X0
| ~ m2_filter_2(X0,sK201)
| ~ l3_lattices(sK201) )
| ~ spl1606_84
| ~ spl1606_87 ),
inference(forward_subsumption_resolution,[],[f58520,f44419]) ).
fof(f58528,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK201)
| k7_filter_2(sK201,X0) = X0 )
| ~ spl1606_84
| ~ spl1606_87 ),
inference(forward_subsumption_resolution,[],[f58524,f44418]) ).
fof(f58535,plain,
( sK202 = k7_filter_2(sK201,sK202)
| ~ spl1606_84
| ~ spl1606_87 ),
inference(resolution,[],[f58528,f44422]) ).
fof(f58548,plain,
( m1_filter_0(sK202,k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87 ),
inference(superposition,[],[f57606,f58535]) ).
fof(f60261,plain,
( ~ v14_lattices(sK201)
| v3_struct_0(sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| spl1606_95 ),
inference(resolution,[],[f57427,f44610]) ).
fof(f60262,plain,
( v3_struct_0(sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| spl1606_95 ),
inference(forward_subsumption_resolution,[],[f60261,f44421]) ).
fof(f60263,plain,
( ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| spl1606_95 ),
inference(forward_subsumption_resolution,[],[f60262,f44420]) ).
fof(f60264,plain,
( ~ l3_lattices(sK201)
| spl1606_95 ),
inference(forward_subsumption_resolution,[],[f60263,f44419]) ).
fof(f60265,plain,
( $false
| spl1606_95 ),
inference(forward_subsumption_resolution,[],[f60264,f44418]) ).
fof(f60266,plain,
spl1606_95,
inference(avatar_contradiction_clause,[],[f60265]) ).
fof(f65124,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,k1_lattice2(sK201))
| ~ m1_filter_0(X1,k1_lattice2(sK201))
| m2_filter_2(k5_subset_1(u1_struct_0(sK201),X1,X0),sK201)
| v3_struct_0(sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201) )
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_92 ),
inference(resolution,[],[f57713,f44745]) ).
fof(f65132,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,k1_lattice2(sK201))
| ~ m1_filter_0(X1,k1_lattice2(sK201))
| m2_filter_2(k5_subset_1(u1_struct_0(sK201),X1,X0),sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201) )
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_92 ),
inference(forward_subsumption_resolution,[],[f65124,f44420]) ).
fof(f65133,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,k1_lattice2(sK201))
| ~ m1_filter_0(X1,k1_lattice2(sK201))
| m2_filter_2(k5_subset_1(u1_struct_0(sK201),X1,X0),sK201)
| ~ l3_lattices(sK201) )
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_92 ),
inference(forward_subsumption_resolution,[],[f65132,f44419]) ).
fof(f65134,plain,
( ! [X0,X1] :
( m2_filter_2(k5_subset_1(u1_struct_0(sK201),X1,X0),sK201)
| ~ m1_filter_0(X1,k1_lattice2(sK201))
| ~ m1_filter_0(X0,k1_lattice2(sK201)) )
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_92 ),
inference(forward_subsumption_resolution,[],[f65133,f44418]) ).
fof(f92411,definition,
( spl1606_973
<=> m1_subset_1(sK526(k1_lattice2(sK201),sK202),k1_zfmisc_1(u1_struct_0(sK201))) ),
introduced(definition,[new_symbols(definition,[spl1606_973])],[avatar_definition]) ).
fof(f92412,plain,
( m1_subset_1(sK526(k1_lattice2(sK201),sK202),k1_zfmisc_1(u1_struct_0(sK201)))
| ~ spl1606_973 ),
inference(avatar_component_clause,[],[f92411]) ).
fof(f92413,plain,
( ~ m1_subset_1(sK526(k1_lattice2(sK201),sK202),k1_zfmisc_1(u1_struct_0(sK201)))
| spl1606_973 ),
inference(avatar_component_clause,[],[f92411]) ).
fof(f92419,plain,
( ~ m1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201))
| ~ spl1606_87
| spl1606_973 ),
inference(resolution,[],[f92413,f57382]) ).
fof(f92433,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ m1_filter_0(sK202,k1_lattice2(sK201))
| ~ v13_lattices(k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| ~ spl1606_87
| spl1606_973 ),
inference(resolution,[],[f92419,f46797]) ).
fof(f92434,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ v13_lattices(k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| spl1606_973 ),
inference(forward_subsumption_resolution,[],[f92433,f58548]) ).
fof(f92436,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_973 ),
inference(forward_subsumption_resolution,[],[f92434,f57428]) ).
fof(f92437,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_973 ),
inference(forward_subsumption_resolution,[],[f92436,f57261]) ).
fof(f92438,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_973 ),
inference(forward_subsumption_resolution,[],[f92437,f57364]) ).
fof(f92439,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_973 ),
inference(forward_subsumption_resolution,[],[f92438,f57360]) ).
fof(f92440,plain,
( sK202 = u1_struct_0(sK201)
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_973 ),
inference(superposition,[],[f92439,f57203]) ).
fof(f92768,plain,
( $false
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_973 ),
inference(forward_subsumption_resolution,[],[f92440,f44424]) ).
fof(f92769,plain,
( spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_973 ),
inference(avatar_contradiction_clause,[],[f92768]) ).
fof(f93107,plain,
( sK526(k1_lattice2(sK201),sK202) = k7_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| v3_struct_0(sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| ~ spl1606_973 ),
inference(resolution,[],[f92412,f54295]) ).
fof(f93127,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK201)))
| k5_subset_1(u1_struct_0(sK201),X0,sK526(k1_lattice2(sK201),sK202)) = k4_xboole_0(X0,k4_xboole_0(X0,sK526(k1_lattice2(sK201),sK202))) )
| ~ spl1606_973 ),
inference(resolution,[],[f92412,f54704]) ).
fof(f93144,plain,
( sK526(k1_lattice2(sK201),sK202) = k7_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| ~ spl1606_973 ),
inference(forward_subsumption_resolution,[],[f93107,f44420]) ).
fof(f93154,definition,
( spl1606_980
<=> m2_filter_2(sK526(k1_lattice2(sK201),sK202),sK201) ),
introduced(definition,[new_symbols(definition,[spl1606_980])],[avatar_definition]) ).
fof(f93156,plain,
( m2_filter_2(sK526(k1_lattice2(sK201),sK202),sK201)
| ~ spl1606_980 ),
inference(avatar_component_clause,[],[f93154]) ).
fof(f93184,plain,
( sK526(k1_lattice2(sK201),sK202) = k7_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ l3_lattices(sK201)
| ~ spl1606_973 ),
inference(forward_subsumption_resolution,[],[f93144,f44419]) ).
fof(f93196,plain,
( sK526(k1_lattice2(sK201),sK202) = k7_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ spl1606_973 ),
inference(forward_subsumption_resolution,[],[f93184,f44418]) ).
fof(f93470,plain,
( k5_subset_1(u1_struct_0(sK201),sK526(k1_lattice2(sK201),sK202),sK526(k1_lattice2(sK201),sK202)) = k4_xboole_0(sK526(k1_lattice2(sK201),sK202),k4_xboole_0(sK526(k1_lattice2(sK201),sK202),sK526(k1_lattice2(sK201),sK202)))
| ~ spl1606_973 ),
inference(resolution,[],[f93127,f92412]) ).
fof(f93471,plain,
( sK526(k1_lattice2(sK201),sK202) = k5_subset_1(u1_struct_0(sK201),sK526(k1_lattice2(sK201),sK202),sK526(k1_lattice2(sK201),sK202))
| ~ spl1606_973 ),
inference(forward_demodulation,[],[f93470,f54750]) ).
fof(f93496,plain,
( m2_filter_2(sK526(k1_lattice2(sK201),sK202),sK201)
| ~ m1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201))
| ~ m1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_92
| ~ spl1606_973 ),
inference(superposition,[],[f65134,f93471]) ).
fof(f93509,plain,
( m2_filter_2(sK526(k1_lattice2(sK201),sK202),sK201)
| ~ m1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_92
| ~ spl1606_973 ),
inference(duplicate_literal_removal,[],[f93496]) ).
fof(f93519,definition,
( spl1606_999
<=> m1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201)) ),
introduced(definition,[new_symbols(definition,[spl1606_999])],[avatar_definition]) ).
fof(f93521,plain,
( ~ m1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201))
| spl1606_999 ),
inference(avatar_component_clause,[],[f93519]) ).
fof(f93527,plain,
( ~ spl1606_999
| spl1606_980
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_92
| ~ spl1606_973 ),
inference(avatar_split_clause,[],[f93509,f92411,f57408,f57363,f57359,f57260,f93154,f93519]) ).
fof(f93547,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ m1_filter_0(sK202,k1_lattice2(sK201))
| ~ v13_lattices(k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_999 ),
inference(resolution,[],[f93521,f46797]) ).
fof(f93548,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ v13_lattices(k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| spl1606_999 ),
inference(forward_subsumption_resolution,[],[f93547,f58548]) ).
fof(f93551,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_999 ),
inference(forward_subsumption_resolution,[],[f93548,f57428]) ).
fof(f93553,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_999 ),
inference(forward_subsumption_resolution,[],[f93551,f57261]) ).
fof(f93555,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_999 ),
inference(forward_subsumption_resolution,[],[f93553,f57364]) ).
fof(f93557,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_999 ),
inference(forward_subsumption_resolution,[],[f93555,f57360]) ).
fof(f93559,plain,
( sK202 = u1_struct_0(sK201)
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_999 ),
inference(superposition,[],[f93557,f57203]) ).
fof(f93887,plain,
( $false
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_999 ),
inference(forward_subsumption_resolution,[],[f93559,f44424]) ).
fof(f93888,plain,
( spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_999 ),
inference(avatar_contradiction_clause,[],[f93887]) ).
fof(f94426,plain,
( v3_struct_0(sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| k7_filter_2(sK201,sK526(k1_lattice2(sK201),sK202)) = k15_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ spl1606_980 ),
inference(resolution,[],[f93156,f46806]) ).
fof(f94438,plain,
( ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| k7_filter_2(sK201,sK526(k1_lattice2(sK201),sK202)) = k15_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ spl1606_980 ),
inference(forward_subsumption_resolution,[],[f94426,f44420]) ).
fof(f94445,definition,
( spl1606_1009
<=> r2_filter_2(sK201,sK526(k1_lattice2(sK201),sK202)) ),
introduced(definition,[new_symbols(definition,[spl1606_1009])],[avatar_definition]) ).
fof(f94447,plain,
( r2_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ spl1606_1009 ),
inference(avatar_component_clause,[],[f94445]) ).
fof(f94453,plain,
( ~ l3_lattices(sK201)
| k7_filter_2(sK201,sK526(k1_lattice2(sK201),sK202)) = k15_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ spl1606_980 ),
inference(forward_subsumption_resolution,[],[f94438,f44419]) ).
fof(f94457,plain,
( k7_filter_2(sK201,sK526(k1_lattice2(sK201),sK202)) = k15_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ spl1606_980 ),
inference(forward_subsumption_resolution,[],[f94453,f44418]) ).
fof(f94460,plain,
( sK526(k1_lattice2(sK201),sK202) = k15_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ spl1606_973
| ~ spl1606_980 ),
inference(forward_demodulation,[],[f94457,f93196]) ).
fof(f94469,plain,
( ~ v1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201))
| r2_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ m2_filter_2(sK526(k1_lattice2(sK201),sK202),sK201)
| v3_struct_0(sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| ~ spl1606_973
| ~ spl1606_980 ),
inference(superposition,[],[f44764,f94460]) ).
fof(f94480,plain,
( ~ v1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201))
| r2_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| v3_struct_0(sK201)
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| ~ spl1606_973
| ~ spl1606_980 ),
inference(forward_subsumption_resolution,[],[f94469,f93156]) ).
fof(f94484,plain,
( ~ v1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201))
| r2_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ v10_lattices(sK201)
| ~ l3_lattices(sK201)
| ~ spl1606_973
| ~ spl1606_980 ),
inference(forward_subsumption_resolution,[],[f94480,f44420]) ).
fof(f94487,plain,
( ~ v1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201))
| r2_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ l3_lattices(sK201)
| ~ spl1606_973
| ~ spl1606_980 ),
inference(forward_subsumption_resolution,[],[f94484,f44419]) ).
fof(f94490,plain,
( ~ v1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201))
| r2_filter_2(sK201,sK526(k1_lattice2(sK201),sK202))
| ~ spl1606_973
| ~ spl1606_980 ),
inference(forward_subsumption_resolution,[],[f94487,f44418]) ).
fof(f94494,definition,
( spl1606_1010
<=> v1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201)) ),
introduced(definition,[new_symbols(definition,[spl1606_1010])],[avatar_definition]) ).
fof(f94496,plain,
( ~ v1_filter_0(sK526(k1_lattice2(sK201),sK202),k1_lattice2(sK201))
| spl1606_1010 ),
inference(avatar_component_clause,[],[f94494]) ).
fof(f94497,plain,
( spl1606_1009
| ~ spl1606_1010
| ~ spl1606_973
| ~ spl1606_980 ),
inference(avatar_split_clause,[],[f94490,f93154,f92411,f94494,f94445]) ).
fof(f94504,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ m1_filter_0(sK202,k1_lattice2(sK201))
| ~ v13_lattices(k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_1010 ),
inference(resolution,[],[f94496,f46798]) ).
fof(f94505,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ v13_lattices(k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| spl1606_1010 ),
inference(forward_subsumption_resolution,[],[f94504,f58548]) ).
fof(f94506,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_1010 ),
inference(forward_subsumption_resolution,[],[f94505,f57428]) ).
fof(f94507,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_1010 ),
inference(forward_subsumption_resolution,[],[f94506,f57261]) ).
fof(f94508,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_1010 ),
inference(forward_subsumption_resolution,[],[f94507,f57364]) ).
fof(f94509,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_1010 ),
inference(forward_subsumption_resolution,[],[f94508,f57360]) ).
fof(f94510,plain,
( sK202 = u1_struct_0(sK201)
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_1010 ),
inference(superposition,[],[f94509,f57203]) ).
fof(f94838,plain,
( $false
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_1010 ),
inference(forward_subsumption_resolution,[],[f94510,f44424]) ).
fof(f94839,plain,
( spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_1010 ),
inference(avatar_contradiction_clause,[],[f94838]) ).
fof(f95168,plain,
( ~ r1_tarski(sK202,sK526(k1_lattice2(sK201),sK202))
| ~ m2_filter_2(sK526(k1_lattice2(sK201),sK202),sK201)
| ~ spl1606_1009 ),
inference(resolution,[],[f94447,f44423]) ).
fof(f95169,plain,
( ~ r1_tarski(sK202,sK526(k1_lattice2(sK201),sK202))
| ~ spl1606_980
| ~ spl1606_1009 ),
inference(forward_subsumption_resolution,[],[f95168,f93156]) ).
fof(f95174,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ m1_filter_0(sK202,k1_lattice2(sK201))
| ~ v13_lattices(k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| ~ spl1606_980
| ~ spl1606_1009 ),
inference(resolution,[],[f95169,f46799]) ).
fof(f95180,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ v13_lattices(k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_980
| ~ spl1606_1009 ),
inference(forward_subsumption_resolution,[],[f95174,f58548]) ).
fof(f95182,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| v3_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| ~ spl1606_980
| ~ spl1606_1009 ),
inference(forward_subsumption_resolution,[],[f95180,f57428]) ).
fof(f95184,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ v10_lattices(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| ~ spl1606_980
| ~ spl1606_1009 ),
inference(forward_subsumption_resolution,[],[f95182,f57261]) ).
fof(f95186,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| ~ l3_lattices(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| ~ spl1606_980
| ~ spl1606_1009 ),
inference(forward_subsumption_resolution,[],[f95184,f57364]) ).
fof(f95188,plain,
( sK202 = u1_struct_0(k1_lattice2(sK201))
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| ~ spl1606_980
| ~ spl1606_1009 ),
inference(forward_subsumption_resolution,[],[f95186,f57360]) ).
fof(f95190,plain,
( sK202 = u1_struct_0(sK201)
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| ~ spl1606_980
| ~ spl1606_1009 ),
inference(superposition,[],[f95188,f57203]) ).
fof(f95518,plain,
( $false
| spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| ~ spl1606_980
| ~ spl1606_1009 ),
inference(forward_subsumption_resolution,[],[f95190,f44424]) ).
fof(f95519,plain,
( spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| ~ spl1606_980
| ~ spl1606_1009 ),
inference(avatar_contradiction_clause,[],[f95518]) ).
cnf(s63,plain,
( spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| spl1606_87 ),
inference(sat_conversion,[],[f57383]) ).
cnf(s68,plain,
( spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| spl1606_92 ),
inference(sat_conversion,[],[f57410]) ).
cnf(s77,plain,
spl1606_83,
inference(sat_conversion,[],[f57479]) ).
cnf(s79,plain,
~ spl1606_82,
inference(sat_conversion,[],[f57492]) ).
cnf(s80,plain,
spl1606_84,
inference(sat_conversion,[],[f57496]) ).
cnf(s216,plain,
spl1606_95,
inference(sat_conversion,[],[f60266]) ).
cnf(s975,plain,
( spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_973 ),
inference(sat_conversion,[],[f92769]) ).
cnf(s997,plain,
( spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_92
| ~ spl1606_973
| spl1606_980
| ~ spl1606_999 ),
inference(sat_conversion,[],[f93527]) ).
cnf(s1005,plain,
( spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_999 ),
inference(sat_conversion,[],[f93888]) ).
cnf(s1018,plain,
( ~ spl1606_973
| ~ spl1606_980
| spl1606_1009
| ~ spl1606_1010 ),
inference(sat_conversion,[],[f94497]) ).
cnf(s1022,plain,
( spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| spl1606_1010 ),
inference(sat_conversion,[],[f94839]) ).
cnf(s1031,plain,
( spl1606_82
| ~ spl1606_83
| ~ spl1606_84
| ~ spl1606_87
| ~ spl1606_95
| ~ spl1606_980
| ~ spl1606_1009 ),
inference(sat_conversion,[],[f95519]) ).
cnf(s1251,plain,
spl1606_92,
inference(rat,[],[s68,s80,s77,s79]) ).
cnf(s1292,plain,
spl1606_87,
inference(rat,[],[s63,s80,s77,s79]) ).
cnf(s1294,plain,
spl1606_1010,
inference(rat,[],[s1022,s77,s216,s79,s80,s1292]) ).
cnf(s1295,plain,
spl1606_999,
inference(rat,[],[s1005,s77,s216,s79,s80,s1292]) ).
cnf(s1296,plain,
spl1606_973,
inference(rat,[],[s975,s77,s216,s79,s80,s1292]) ).
cnf(s1316,plain,
spl1606_980,
inference(rat,[],[s997,s1295,s1251,s77,s79,s80,s1296]) ).
cnf(s1320,plain,
spl1606_1009,
inference(rat,[],[s1018,s1294,s1296,s1316]) ).
cnf(s1321,plain,
$false,
inference(rat,[],[s1031,s1292,s77,s216,s79,s80,s1320,s1316]) ).
fof(f95831,plain,
$false,
inference(avatar_sat_refutation,[],[s1321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT307+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.35 % Computer : n020.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 27 14:28:09 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.69/4.30 % (3436176)Detected formulas, will run a generic FOF schedule.
% 18.69/4.30 % (3436188)dis-21_1_sil=8000:lcm=predicate:random_seed=3948059357:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 18.69/4.30 % (3436185)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2796553198:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 18.69/4.30 % (3436184)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=3529060965:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 18.69/4.30 % (3436188)Instruction limit reached!
% 18.69/4.30 % (3436188)------------------------------
% 18.69/4.30 % (3436188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.69/4.30 % (3436188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.69/4.30 % (3436188)CaDiCaL version: 2.1.3
% 18.69/4.30 % (3436188)Termination reason: Instruction limit
% 18.69/4.30 % (3436188)Termination phase: SInE selection
% 18.69/4.30 % (3436188)Time elapsed: 0.056 s
% 18.69/4.30 % (3436188)Peak memory usage: 136 MB
% 18.69/4.30 % (3436188)Instructions burned: 132 (million)
% 18.69/4.30 % (3436182)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=2390809253:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 18.69/4.30 % (3436185)Instruction limit reached!
% 18.69/4.30 % (3436185)------------------------------
% 18.69/4.30 % (3436185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.69/4.30 % (3436185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.69/4.30 % (3436185)CaDiCaL version: 2.1.3
% 18.69/4.30 % (3436185)Termination reason: Instruction limit
% 18.69/4.30 % (3436185)Termination phase: SInE selection
% 18.69/4.30 % (3436185)Time elapsed: 0.085 s
% 18.69/4.30 % (3436185)Peak memory usage: 136 MB
% 18.69/4.30 % (3436185)Instructions burned: 109 (million)
% 18.69/4.30 % (3436183)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=3719427077:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 18.69/4.30 % (3436187)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2022641032:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 18.69/4.30 % (3436186)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1444013121:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 18.69/4.30 % (3436192)lrs+10_1_sil=8000:sp=occurrence:random_seed=3255969808:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 18.69/4.30 % (3436187)Instruction limit reached!
% 18.69/4.30 % (3436187)------------------------------
% 18.69/4.30 % (3436187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.69/4.30 % (3436187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.69/4.30 % (3436187)CaDiCaL version: 2.1.3
% 18.69/4.30 % (3436187)Termination reason: Instruction limit
% 18.69/4.30 % (3436187)Termination phase: Property scanning
% 18.69/4.30 % (3436187)Time elapsed: 0.121 s
% 18.69/4.30 % (3436187)Peak memory usage: 136 MB
% 18.69/4.30 % (3436187)Instructions burned: 139 (million)
% 18.69/4.30 % (3436194)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3305817427:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/157Mi)
% 18.69/4.30 % (3436186)Instruction limit reached!
% 18.69/4.30 % (3436186)------------------------------
% 18.69/4.30 % (3436186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.69/4.30 % (3436186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.69/4.30 % (3436186)CaDiCaL version: 2.1.3
% 18.69/4.30 % (3436186)Termination reason: Instruction limit
% 18.69/4.30 % (3436186)Termination phase: SInE selection
% 18.69/4.30 % (3436186)Time elapsed: 0.130 s
% 18.69/4.30 % (3436186)Peak memory usage: 136 MB
% 18.69/4.30 % (3436186)Instructions burned: 119 (million)
% 18.69/4.30 % (3436194)Instruction limit reached!
% 18.69/4.30 % (3436194)------------------------------
% 18.69/4.30 % (3436194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.69/4.30 % (3436194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.69/4.30 % (3436194)CaDiCaL version: 2.1.3
% 18.69/4.30 % (3436194)Termination reason: Instruction limit
% 25.66/5.36 % (3436194)Termination phase: Property scanning
% 25.66/5.36 % (3436194)Time elapsed: 0.073 s
% 25.66/5.36 % (3436194)Peak memory usage: 136 MB
% 25.66/5.36 % (3436194)Instructions burned: 165 (million)
% 25.66/5.36 % (3436192)Instruction limit reached!
% 25.66/5.36 % (3436192)------------------------------
% 25.66/5.36 % (3436192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.66/5.36 % (3436192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.66/5.36 % (3436192)CaDiCaL version: 2.1.3
% 25.66/5.36 % (3436192)Termination reason: Instruction limit
% 25.66/5.36 % (3436192)Termination phase: Saturation
% 25.66/5.36 % (3436192)Time elapsed: 0.174 s
% 25.66/5.36 % (3436192)Peak memory usage: 141 MB
% 25.66/5.36 % (3436192)Instructions burned: 285 (million)
% 25.66/5.36 % (3436201)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=1080446222:s2a=on:i=248:s2at=1.23:gtg=position_2984 on theBenchmark for (2984ds/248Mi)
% 25.66/5.36 % (3436199)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3097639525:i=325:sd=1:ss=axioms:sgt=32_2984 on theBenchmark for (2984ds/325Mi)
% 25.66/5.36 % (3436202)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1400608537:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2983 on theBenchmark for (2983ds/294Mi)
% 25.66/5.36 % (3436201)Instruction limit reached!
% 25.66/5.36 % (3436201)------------------------------
% 25.66/5.36 % (3436201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.66/5.36 % (3436201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.66/5.36 % (3436201)CaDiCaL version: 2.1.3
% 25.66/5.36 % (3436201)Termination reason: Instruction limit
% 25.66/5.36 % (3436201)Termination phase: Property scanning
% 25.66/5.36 % (3436201)Time elapsed: 0.110 s
% 25.66/5.36 % (3436201)Peak memory usage: 136 MB
% 25.66/5.36 % (3436201)Instructions burned: 248 (million)
% 25.66/5.36 % (3436203)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=915759142:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 25.66/5.36 % (3436202)Instruction limit reached!
% 25.66/5.36 % (3436202)------------------------------
% 25.66/5.36 % (3436202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.66/5.36 % (3436202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.66/5.36 % (3436202)CaDiCaL version: 2.1.3
% 25.66/5.36 % (3436202)Termination reason: Instruction limit
% 25.66/5.36 % (3436202)Termination phase: SInE selection
% 25.66/5.36 % (3436202)Time elapsed: 0.216 s
% 25.66/5.36 % (3436202)Peak memory usage: 137 MB
% 25.66/5.36 % (3436202)Instructions burned: 295 (million)
% 25.66/5.36 % (3436207)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3386312256:cts=off:i=113:fsr=off:ss=included:sgt=4_2981 on theBenchmark for (2981ds/113Mi)
% 25.66/5.36 % (3436207)Instruction limit reached!
% 25.66/5.36 % (3436207)------------------------------
% 25.66/5.36 % (3436207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.66/5.36 % (3436207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.66/5.36 % (3436207)CaDiCaL version: 2.1.3
% 25.66/5.36 % (3436207)Termination reason: Instruction limit
% 25.66/5.36 % (3436207)Termination phase: SInE selection
% 25.66/5.36 % (3436207)Time elapsed: 0.087 s
% 25.66/5.36 % (3436207)Peak memory usage: 136 MB
% 25.66/5.36 % (3436207)Instructions burned: 115 (million)
% 25.66/5.36 % (3436199)Instruction limit reached!
% 25.66/5.36 % (3436199)------------------------------
% 25.66/5.36 % (3436199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.66/5.36 % (3436199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.66/5.36 % (3436199)CaDiCaL version: 2.1.3
% 25.66/5.36 % (3436199)Termination reason: Instruction limit
% 25.66/5.36 % (3436199)Termination phase: Saturation
% 25.66/5.36 % (3436199)Time elapsed: 0.383 s
% 25.66/5.36 % (3436199)Peak memory usage: 142 MB
% 25.66/5.36 % (3436199)Instructions burned: 325 (million)
% 25.66/5.36 % (3436210)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=649822509:i=127:av=off:fsr=off:sup=off_2979 on theBenchmark for (2979ds/127Mi)
% 25.66/5.36 % (3436212)lrs+10_1_sil=8000:sp=occurrence:random_seed=1068623464:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2978 on theBenchmark for (2978ds/907Mi)
% 25.66/5.36 % (3436211)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3582572876:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2978 on theBenchmark for (2978ds/114Mi)
% 41.68/8.51 % (3436210)Instruction limit reached!
% 41.68/8.51 % (3436210)------------------------------
% 41.68/8.51 % (3436210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436210)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436210)Termination reason: Instruction limit
% 41.68/8.51 % (3436210)Termination phase: Preprocessing 1
% 41.68/8.51 % (3436210)Time elapsed: 0.153 s
% 41.68/8.51 % (3436210)Peak memory usage: 137 MB
% 41.68/8.51 % (3436210)Instructions burned: 127 (million)
% 41.68/8.51 % (3436211)Instruction limit reached!
% 41.68/8.51 % (3436211)------------------------------
% 41.68/8.51 % (3436211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436211)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436211)Termination reason: Instruction limit
% 41.68/8.51 % (3436211)Termination phase: Property scanning
% 41.68/8.51 % (3436211)Time elapsed: 0.101 s
% 41.68/8.51 % (3436211)Peak memory usage: 136 MB
% 41.68/8.51 % (3436211)Instructions burned: 114 (million)
% 41.68/8.51 % (3436216)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1316008270:i=437:sd=1:aac=none:ss=included_2975 on theBenchmark for (2975ds/437Mi)
% 41.68/8.51 % (3436217)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4066800105:i=5202:ss=axioms:sgt=16_2974 on theBenchmark for (2974ds/5202Mi)
% 41.68/8.51 % (3436203)Instruction limit reached!
% 41.68/8.51 % (3436203)------------------------------
% 41.68/8.51 % (3436203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436203)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436203)Termination reason: Instruction limit
% 41.68/8.51 % (3436203)Termination phase: Property scanning
% 41.68/8.51 % (3436203)Time elapsed: 0.976 s
% 41.68/8.51 % (3436203)Peak memory usage: 233 MB
% 41.68/8.51 % (3436203)Instructions burned: 2352 (million)
% 41.68/8.51 % (3436212)Instruction limit reached!
% 41.68/8.51 % (3436212)------------------------------
% 41.68/8.51 % (3436212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436212)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436212)Termination reason: Instruction limit
% 41.68/8.51 % (3436212)Termination phase: Property scanning
% 41.68/8.51 % (3436212)Time elapsed: 0.645 s
% 41.68/8.51 % (3436212)Peak memory usage: 156 MB
% 41.68/8.51 % (3436212)Instructions burned: 909 (million)
% 41.68/8.51 % (3436216)Refutation not found, incomplete strategy
% 41.68/8.51 % (3436216)------------------------------
% 41.68/8.51 % (3436216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436216)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436216)Termination reason: Refutation not found, incomplete strategy
% 41.68/8.51 % (3436216)Time elapsed: 0.358 s
% 41.68/8.51 % (3436216)Peak memory usage: 143 MB
% 41.68/8.51 % (3436216)Instructions burned: 315 (million)
% 41.68/8.51 % (3436220)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3027930301:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2970 on theBenchmark for (2970ds/134Mi)
% 41.68/8.51 % (3436220)Instruction limit reached!
% 41.68/8.51 % (3436220)------------------------------
% 41.68/8.51 % (3436220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436220)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436220)Termination reason: Instruction limit
% 41.68/8.51 % (3436220)Termination phase: SInE selection
% 41.68/8.51 % (3436220)Time elapsed: 0.059 s
% 41.68/8.51 % (3436220)Peak memory usage: 136 MB
% 41.68/8.51 % (3436220)Instructions burned: 135 (million)
% 41.68/8.51 % (3436221)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=211542919:st=8:i=592:sd=3:ep=RST:ss=axioms_2969 on theBenchmark for (2969ds/592Mi)
% 41.68/8.51 % (3436223)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1939948486:st=3:i=13193:sd=3:ss=axioms_2968 on theBenchmark for (2968ds/13193Mi)
% 41.68/8.51 % (3436216)------------------------------
% 41.68/8.51 % (3436216)------------------------------
% 41.68/8.51 % (3436221)Instruction limit reached!
% 41.68/8.51 % (3436221)------------------------------
% 41.68/8.51 % (3436221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436221)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436221)Termination reason: Instruction limit
% 41.68/8.51 % (3436221)Termination phase: Preprocessing 2
% 41.68/8.51 % (3436221)Time elapsed: 0.456 s
% 41.68/8.51 % (3436221)Peak memory usage: 148 MB
% 41.68/8.51 % (3436221)Instructions burned: 593 (million)
% 41.68/8.51 % (3436226)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4075408212:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/125Mi)
% 41.68/8.51 % (3436227)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=667507226:i=134:gtgl=5:slsql=off:gtg=exists_sym_2963 on theBenchmark for (2963ds/134Mi)
% 41.68/8.51 % (3436226)Instruction limit reached!
% 41.68/8.51 % (3436226)------------------------------
% 41.68/8.51 % (3436226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436226)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436226)Termination reason: Instruction limit
% 41.68/8.51 % (3436226)Termination phase: Property scanning
% 41.68/8.51 % (3436226)Time elapsed: 0.109 s
% 41.68/8.51 % (3436226)Peak memory usage: 136 MB
% 41.68/8.51 % (3436226)Instructions burned: 125 (million)
% 41.68/8.51 % (3436227)Instruction limit reached!
% 41.68/8.51 % (3436227)------------------------------
% 41.68/8.51 % (3436227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436227)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436227)Termination reason: Instruction limit
% 41.68/8.51 % (3436227)Termination phase: Property scanning
% 41.68/8.51 % (3436227)Time elapsed: 0.060 s
% 41.68/8.51 % (3436227)Peak memory usage: 136 MB
% 41.68/8.51 % (3436227)Instructions burned: 136 (million)
% 41.68/8.51 % (3436230)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2905016995:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/141Mi)
% 41.68/8.51 % (3436231)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=480092549:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2961 on theBenchmark for (2961ds/431Mi)
% 41.68/8.51 % (3436230)Instruction limit reached!
% 41.68/8.51 % (3436230)------------------------------
% 41.68/8.51 % (3436230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436230)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436230)Termination reason: Instruction limit
% 41.68/8.51 % (3436230)Termination phase: SInE selection
% 41.68/8.51 % (3436230)Time elapsed: 0.106 s
% 41.68/8.51 % (3436230)Peak memory usage: 136 MB
% 41.68/8.51 % (3436230)Instructions burned: 142 (million)
% 41.68/8.51 % (3436234)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3348242643:i=6060:aac=none:ins=25_2958 on theBenchmark for (2958ds/6060Mi)
% 41.68/8.51 % (3436231)Instruction limit reached!
% 41.68/8.51 % (3436231)------------------------------
% 41.68/8.51 % (3436231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436231)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436231)Termination reason: Instruction limit
% 41.68/8.51 % (3436231)Termination phase: Saturation
% 41.68/8.51 % (3436231)Time elapsed: 0.310 s
% 41.68/8.51 % (3436231)Peak memory usage: 143 MB
% 41.68/8.51 % (3436231)Instructions burned: 433 (million)
% 41.68/8.51 % (3436236)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2928645624:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2956 on theBenchmark for (2956ds/150Mi)
% 41.68/8.51 % (3436236)Instruction limit reached!
% 41.68/8.51 % (3436236)------------------------------
% 41.68/8.51 % (3436236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436236)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436236)Termination reason: Instruction limit
% 41.68/8.51 % (3436236)Termination phase: SInE selection
% 41.68/8.51 % (3436236)Time elapsed: 0.114 s
% 41.68/8.51 % (3436236)Peak memory usage: 136 MB
% 41.68/8.51 % (3436236)Instructions burned: 150 (million)
% 41.68/8.51 % (3436238)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2985878130:i=14155:bd=all_2952 on theBenchmark for (2952ds/14155Mi)
% 41.68/8.51 % (3436217)Instruction limit reached!
% 41.68/8.51 % (3436217)------------------------------
% 41.68/8.51 % (3436217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436217)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436217)Termination reason: Instruction limit
% 41.68/8.51 % (3436217)Termination phase: Saturation
% 41.68/8.51 % (3436217)Time elapsed: 3.810 s
% 41.68/8.51 % (3436217)Peak memory usage: 506 MB
% 41.68/8.51 % (3436217)Instructions burned: 5203 (million)
% 41.68/8.51 % (3436240)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3599945387:i=667:av=off:fsr=off_2934 on theBenchmark for (2934ds/667Mi)
% 41.68/8.51 % (3436240)Instruction limit reached!
% 41.68/8.51 % (3436240)------------------------------
% 41.68/8.51 % (3436240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436240)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436240)Termination reason: Instruction limit
% 41.68/8.51 % (3436240)Termination phase: NewCNF
% 41.68/8.51 % (3436240)Time elapsed: 0.525 s
% 41.68/8.51 % (3436240)Peak memory usage: 186 MB
% 41.68/8.51 % (3436240)Instructions burned: 668 (million)
% 41.68/8.51 % (3436242)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=51307793:s2a=on:i=185:s2at=1.8:fdi=4_2927 on theBenchmark for (2927ds/185Mi)
% 41.68/8.51 % (3436242)Instruction limit reached!
% 41.68/8.51 % (3436242)------------------------------
% 41.68/8.51 % (3436242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.68/8.51 % (3436242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.68/8.51 % (3436242)CaDiCaL version: 2.1.3
% 41.68/8.51 % (3436242)Termination reason: Instruction limit
% 41.68/8.51 % (3436242)Termination phase: SInE selection
% 41.68/8.51 % (3436242)Time elapsed: 0.132 s
% 41.68/8.51 % (3436242)Peak memory usage: 136 MB
% 41.68/8.51 % (3436242)Instructions burned: 186 (million)
% 41.68/8.51 % (3436223)First to succeed.
% 41.68/8.51 % (3436223)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3436176"
% 41.68/8.51 % (3436244)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1624986253:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2924 on theBenchmark for (2924ds/193Mi)
% 41.68/8.51 % (3436223)Refutation found. Thanks to Tanya!
% 41.68/8.51 % SZS status Theorem for theBenchmark
% 41.68/8.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/8.71 % (3436223)------------------------------
% 0.17/8.71 % (3436223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/8.71 % (3436223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/8.71 % (3436223)CaDiCaL version: 2.1.3
% 0.17/8.71 % (3436223)Termination reason: Refutation
% 0.17/8.71 % (3436223)Time elapsed: 4.275 s
% 0.17/8.71 % (3436223)Peak memory usage: 322 MB
% 0.17/8.71 % (3436223)Instructions burned: 12015 (million)
% 0.17/8.71 % (3436223)------------------------------
% 0.17/8.71 % (3436223)------------------------------
% 0.17/8.71 % (3436176)Success in time 7.854 s
% 0.17/8.71 % Vampire exiting
%------------------------------------------------------------------------------