%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT374+2 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:28 AM UTC 2026
% Result : Theorem 20.97s 6.06s
% Output : Refutation 33.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 17
% Syntax : Number of formulae : 171 ( 21 unt; 10 def)
% Number of atoms : 919 ( 29 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 1230 ( 482 ~; 555 |; 136 &)
% ( 25 <=>; 30 =>; 0 <=; 2 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 10 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-4 aty)
% Number of variables : 151 ( 0 sgn 134 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f451,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f7591,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_altcat_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& m1_altcat_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_altcat_2) ).
fof(f10318,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(f10322,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(f10355,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
<=> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_waybel34) ).
fof(f10393,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v6_altcat_1(X1)
& v3_altcat_2(X1,k5_waybel34(X0))
& m1_altcat_2(X1,k5_waybel34(X0)) )
=> ( X1 = k9_waybel34(X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
=> m1_subset_1(X2,u1_struct_0(X1)) )
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X4 = X2
& X5 = X3 )
=> ( k1_altcat_1(k5_waybel34(X0),X2,X3) = k1_xboole_0
| ! [X6] :
( m1_subset_1(X6,k1_altcat_1(k5_waybel34(X0),X2,X3))
=> ( r2_hidden(X6,k1_altcat_1(X1,X4,X5))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X3),k3_yellow21(k5_waybel34(X0),X2),k5_yellow21(k5_waybel34(X0),X2,X3,X6)),k3_yellow21(k5_waybel34(X0),X3),k3_yellow21(k5_waybel34(X0),X2)) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_waybel34) ).
fof(f10403,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<=> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_waybel34) ).
fof(f10404,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<=> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f10403]) ).
fof(f10405,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v6_altcat_1(X1)
& v3_altcat_2(X1,k5_waybel34(X0))
& m1_altcat_2(X1,k5_waybel34(X0)) )
=> ( X1 = k9_waybel34(X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
=> m1_subset_1(X2,u1_struct_0(X1)) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X0)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X1))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_xboole_0 = k1_altcat_1(k5_waybel34(X0),X3,X4)
| ! [X7] :
( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X0),X3,X4))
=> ( r2_hidden(X7,k1_altcat_1(X1,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3),k5_yellow21(k5_waybel34(X0),X3,X4,X7)),k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f10393]) ).
fof(f10549,plain,
? [X0] :
( ? [X1] :
( ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<~> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f10404]) ).
fof(f10550,plain,
? [X0] :
( ? [X1] :
( ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<~> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(flattening,[],[f10549]) ).
fof(f10582,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
<=> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f10355]) ).
fof(f10583,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
<=> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f10582]) ).
fof(f10592,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f451]) ).
fof(f10671,plain,
! [X0] :
( ! [X1] :
( ( X1 = k9_waybel34(X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( k1_xboole_0 = k1_altcat_1(k5_waybel34(X0),X3,X4)
| ! [X7] :
( ( r2_hidden(X7,k1_altcat_1(X1,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3),k5_yellow21(k5_waybel34(X0),X3,X4,X7)),k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3)) )
| ~ m1_subset_1(X7,k1_altcat_1(k5_waybel34(X0),X3,X4)) )
| X3 != X5
| X4 != X6
| ~ m1_subset_1(X6,u1_struct_0(X1)) )
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f10405]) ).
fof(f10672,plain,
! [X0] :
( ! [X1] :
( ( X1 = k9_waybel34(X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( k1_xboole_0 = k1_altcat_1(k5_waybel34(X0),X3,X4)
| ! [X7] :
( ( r2_hidden(X7,k1_altcat_1(X1,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3),k5_yellow21(k5_waybel34(X0),X3,X4,X7)),k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3)) )
| ~ m1_subset_1(X7,k1_altcat_1(k5_waybel34(X0),X3,X4)) )
| X3 != X5
| X4 != X6
| ~ m1_subset_1(X6,u1_struct_0(X1)) )
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f10671]) ).
fof(f10673,plain,
! [X0] :
( ( ~ v3_struct_0(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f10322]) ).
fof(f10807,plain,
! [X0] :
( ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f10318]) ).
fof(f11266,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ m1_altcat_2(X1,X0) )
| v3_struct_0(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f7591]) ).
fof(f11267,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ m1_altcat_2(X1,X0) )
| v3_struct_0(X0)
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f11266]) ).
fof(f14355,definition,
! [X4,X3,X0,X1] :
( sP1(X4,X3,X0,X1)
<=> ! [X5] :
( ! [X6] :
( k1_xboole_0 = k1_altcat_1(k5_waybel34(X0),X3,X4)
| ! [X7] :
( ( r2_hidden(X7,k1_altcat_1(X1,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3),k5_yellow21(k5_waybel34(X0),X3,X4,X7)),k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3)) )
| ~ m1_subset_1(X7,k1_altcat_1(k5_waybel34(X0),X3,X4)) )
| X3 != X5
| X4 != X6
| ~ m1_subset_1(X6,u1_struct_0(X1)) )
| ~ m1_subset_1(X5,u1_struct_0(X1)) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f14356,plain,
! [X0] :
( ! [X1] :
( ( X1 = k9_waybel34(X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X3] :
( ! [X4] :
( sP1(X4,X3,X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(definition_folding,[],[f10672,f14355]) ).
fof(f14708,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& ( ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(nnf_transformation,[],[f10550]) ).
fof(f14709,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& ( ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(flattening,[],[f14708]) ).
fof(f14710,plain,
( ( ~ v1_orders_2(sK212)
| ~ v3_lattice3(sK212)
| ~ r2_hidden(u1_struct_0(sK212),sK211)
| ~ m1_subset_1(sK212,u1_struct_0(k9_waybel34(sK211))) )
& ( ( v1_orders_2(sK212)
& v3_lattice3(sK212)
& r2_hidden(u1_struct_0(sK212),sK211) )
| m1_subset_1(sK212,u1_struct_0(k9_waybel34(sK211))) )
& v2_orders_2(sK212)
& v3_orders_2(sK212)
& v4_orders_2(sK212)
& v1_lattice3(sK212)
& v2_lattice3(sK212)
& l1_orders_2(sK212)
& ~ v2_setfam_1(sK211) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK211,sK212]),skolemize(X0,sK211),skolemize(X1,sK212)],[f14709]) ).
fof(f14737,plain,
! [X0] :
( ! [X1] :
( ( ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0) )
& ( ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) )
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| v2_setfam_1(X0) ),
inference(nnf_transformation,[],[f10583]) ).
fof(f14738,plain,
! [X0] :
( ! [X1] :
( ( ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0) )
& ( ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) )
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f14737]) ).
fof(f14764,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k9_waybel34(X0)
| ? [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
| ? [X3] :
( ? [X4] :
( ~ sP1(X4,X3,X0,X1)
& m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) )
& ( ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X3] :
( ! [X4] :
( sP1(X4,X3,X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) )
| k9_waybel34(X0) != X1 ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(nnf_transformation,[],[f14356]) ).
fof(f14765,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k9_waybel34(X0)
| ? [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
| ? [X3] :
( ? [X4] :
( ~ sP1(X4,X3,X0,X1)
& m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) )
& ( ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X3] :
( ! [X4] :
( sP1(X4,X3,X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) )
| k9_waybel34(X0) != X1 ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f14764]) ).
fof(f14766,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k9_waybel34(X0)
| ? [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
| ? [X3] :
( ? [X4] :
( ~ sP1(X4,X3,X0,X1)
& m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) )
& ( ( ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0))) )
& ! [X6] :
( ! [X7] :
( sP1(X7,X6,X0,X1)
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X6,u1_struct_0(k5_waybel34(X0))) ) )
| k9_waybel34(X0) != X1 ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(rectify,[],[f14765]) ).
fof(f14767,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k9_waybel34(X0)
| ( ~ m1_subset_1(sK241(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK241(X0,X1),u1_struct_0(k5_waybel34(X0))) )
| ( ~ sP1(sK243(X0,X1),sK242(X0,X1),X0,X1)
& m1_subset_1(sK243(X0,X1),u1_struct_0(k5_waybel34(X0)))
& m1_subset_1(sK242(X0,X1),u1_struct_0(k5_waybel34(X0))) ) )
& ( ( ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0))) )
& ! [X6] :
( ! [X7] :
( sP1(X7,X6,X0,X1)
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X6,u1_struct_0(k5_waybel34(X0))) ) )
| k9_waybel34(X0) != X1 ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK241,sK242,sK243]),skolemize(X2,sK241(X0,X1)),skolemize(X3,sK242(X0,X1)),skolemize(X4,sK243(X0,X1))],[f14766]) ).
fof(f16366,plain,
~ v2_setfam_1(sK211),
inference(cnf_transformation,[],[f14710]) ).
fof(f16367,plain,
l1_orders_2(sK212),
inference(cnf_transformation,[],[f14710]) ).
fof(f16368,plain,
v2_lattice3(sK212),
inference(cnf_transformation,[],[f14710]) ).
fof(f16369,plain,
v1_lattice3(sK212),
inference(cnf_transformation,[],[f14710]) ).
fof(f16370,plain,
v4_orders_2(sK212),
inference(cnf_transformation,[],[f14710]) ).
fof(f16371,plain,
v3_orders_2(sK212),
inference(cnf_transformation,[],[f14710]) ).
fof(f16372,plain,
v2_orders_2(sK212),
inference(cnf_transformation,[],[f14710]) ).
fof(f16373,plain,
( r2_hidden(u1_struct_0(sK212),sK211)
| m1_subset_1(sK212,u1_struct_0(k9_waybel34(sK211))) ),
inference(cnf_transformation,[],[f14710]) ).
fof(f16374,plain,
( v3_lattice3(sK212)
| m1_subset_1(sK212,u1_struct_0(k9_waybel34(sK211))) ),
inference(cnf_transformation,[],[f14710]) ).
fof(f16375,plain,
( v1_orders_2(sK212)
| m1_subset_1(sK212,u1_struct_0(k9_waybel34(sK211))) ),
inference(cnf_transformation,[],[f14710]) ).
fof(f16376,plain,
( ~ v1_orders_2(sK212)
| ~ v3_lattice3(sK212)
| ~ r2_hidden(u1_struct_0(sK212),sK211)
| ~ m1_subset_1(sK212,u1_struct_0(k9_waybel34(sK211))) ),
inference(cnf_transformation,[],[f14710]) ).
fof(f16426,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| r2_hidden(u1_struct_0(X1),X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f14738]) ).
fof(f16427,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| v3_lattice3(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f14738]) ).
fof(f16428,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| v1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f14738]) ).
fof(f16429,plain,
! [X0,X1] :
( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f14738]) ).
fof(f16451,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10592]) ).
fof(f16617,plain,
! [X0,X1,X5] :
( m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| k9_waybel34(X0) != X1
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f14767]) ).
fof(f16624,plain,
! [X0] :
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10673]) ).
fof(f16625,plain,
! [X0] :
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10673]) ).
fof(f16626,plain,
! [X0] :
( v6_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10673]) ).
fof(f16627,plain,
! [X0] :
( v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10673]) ).
fof(f16628,plain,
! [X0] :
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10673]) ).
fof(f16914,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10807]) ).
fof(f16920,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10807]) ).
fof(f17920,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ m1_altcat_2(X1,X0)
| v3_struct_0(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f11267]) ).
fof(f24202,plain,
! [X0,X5] :
( m1_subset_1(X5,u1_struct_0(k9_waybel34(X0)))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| v3_struct_0(k9_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| ~ v6_altcat_1(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(equality_resolution,[],[f16617]) ).
fof(f24869,plain,
! [X0,X5] :
( m1_subset_1(X5,u1_struct_0(k9_waybel34(X0)))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| ~ v2_altcat_1(k9_waybel34(X0))
| ~ v6_altcat_1(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f24202,f16628]) ).
fof(f24877,definition,
( spl1127_10
<=> m1_subset_1(sK212,u1_struct_0(k9_waybel34(sK211))) ),
introduced(definition,[new_symbols(definition,[spl1127_10])],[avatar_definition]) ).
fof(f24878,plain,
( ~ m1_subset_1(sK212,u1_struct_0(k9_waybel34(sK211)))
| spl1127_10 ),
inference(avatar_component_clause,[],[f24877]) ).
fof(f24879,plain,
( m1_subset_1(sK212,u1_struct_0(k9_waybel34(sK211)))
| ~ spl1127_10 ),
inference(avatar_component_clause,[],[f24877]) ).
fof(f24881,definition,
( spl1127_11
<=> r2_hidden(u1_struct_0(sK212),sK211) ),
introduced(definition,[new_symbols(definition,[spl1127_11])],[avatar_definition]) ).
fof(f24882,plain,
( ~ r2_hidden(u1_struct_0(sK212),sK211)
| spl1127_11 ),
inference(avatar_component_clause,[],[f24881]) ).
fof(f24883,plain,
( r2_hidden(u1_struct_0(sK212),sK211)
| ~ spl1127_11 ),
inference(avatar_component_clause,[],[f24881]) ).
fof(f24884,plain,
( spl1127_10
| spl1127_11 ),
inference(avatar_split_clause,[],[f16373,f24881,f24877]) ).
fof(f24886,definition,
( spl1127_12
<=> v3_lattice3(sK212) ),
introduced(definition,[new_symbols(definition,[spl1127_12])],[avatar_definition]) ).
fof(f24887,plain,
( ~ v3_lattice3(sK212)
| spl1127_12 ),
inference(avatar_component_clause,[],[f24886]) ).
fof(f24888,plain,
( v3_lattice3(sK212)
| ~ spl1127_12 ),
inference(avatar_component_clause,[],[f24886]) ).
fof(f24889,plain,
( spl1127_10
| spl1127_12 ),
inference(avatar_split_clause,[],[f16374,f24886,f24877]) ).
fof(f24891,definition,
( spl1127_13
<=> v1_orders_2(sK212) ),
introduced(definition,[new_symbols(definition,[spl1127_13])],[avatar_definition]) ).
fof(f24892,plain,
( ~ v1_orders_2(sK212)
| spl1127_13 ),
inference(avatar_component_clause,[],[f24891]) ).
fof(f24893,plain,
( v1_orders_2(sK212)
| ~ spl1127_13 ),
inference(avatar_component_clause,[],[f24891]) ).
fof(f24894,plain,
( spl1127_10
| spl1127_13 ),
inference(avatar_split_clause,[],[f16375,f24891,f24877]) ).
fof(f24895,plain,
( ~ spl1127_10
| ~ spl1127_11
| ~ spl1127_12
| ~ spl1127_13 ),
inference(avatar_split_clause,[],[f16376,f24891,f24886,f24881,f24877]) ).
fof(f24942,plain,
! [X0,X5] :
( m1_subset_1(X5,u1_struct_0(k9_waybel34(X0)))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| ~ v6_altcat_1(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f24869,f16627]) ).
fof(f24971,plain,
! [X0,X5] :
( m1_subset_1(X5,u1_struct_0(k9_waybel34(X0)))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f24942,f16626]) ).
fof(f24984,plain,
! [X0,X5] :
( m1_subset_1(X5,u1_struct_0(k9_waybel34(X0)))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f24971,f16625]) ).
fof(f24991,plain,
! [X0,X5] :
( ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| m1_subset_1(X5,u1_struct_0(k9_waybel34(X0)))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f24984,f16624]) ).
fof(f25013,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(k9_waybel34(X1)))
| v2_setfam_1(X1)
| ~ v1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ r2_hidden(u1_struct_0(X0),X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| v2_setfam_1(X1) ),
inference(resolution,[],[f24991,f16429]) ).
fof(f25014,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(k9_waybel34(X1)))
| v2_setfam_1(X1)
| ~ v1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ r2_hidden(u1_struct_0(X0),X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f25013]) ).
fof(f25198,plain,
( ! [X0] :
( m1_subset_1(sK212,u1_struct_0(X0))
| v3_struct_0(k9_waybel34(sK211))
| ~ m1_altcat_2(k9_waybel34(sK211),X0)
| v3_struct_0(X0)
| ~ l2_altcat_1(X0) )
| ~ spl1127_10 ),
inference(resolution,[],[f17920,f24879]) ).
fof(f25211,definition,
( spl1127_36
<=> v3_struct_0(k9_waybel34(sK211)) ),
introduced(definition,[new_symbols(definition,[spl1127_36])],[avatar_definition]) ).
fof(f25213,plain,
( v3_struct_0(k9_waybel34(sK211))
| ~ spl1127_36 ),
inference(avatar_component_clause,[],[f25211]) ).
fof(f25215,definition,
( spl1127_37
<=> ! [X0] :
( m1_subset_1(sK212,u1_struct_0(X0))
| ~ l2_altcat_1(X0)
| v3_struct_0(X0)
| ~ m1_altcat_2(k9_waybel34(sK211),X0) ) ),
introduced(definition,[new_symbols(definition,[spl1127_37])],[avatar_definition]) ).
fof(f25216,plain,
( ! [X0] :
( ~ m1_altcat_2(k9_waybel34(sK211),X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK212,u1_struct_0(X0)) )
| ~ spl1127_37 ),
inference(avatar_component_clause,[],[f25215]) ).
fof(f25217,plain,
( spl1127_36
| spl1127_37
| ~ spl1127_10 ),
inference(avatar_split_clause,[],[f25198,f24877,f25215,f25211]) ).
fof(f25220,plain,
( v2_setfam_1(sK211)
| ~ v1_orders_2(sK212)
| ~ v3_lattice3(sK212)
| ~ r2_hidden(u1_struct_0(sK212),sK211)
| ~ v2_orders_2(sK212)
| ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| spl1127_10 ),
inference(resolution,[],[f24878,f25014]) ).
fof(f25221,plain,
( ~ v1_orders_2(sK212)
| ~ v3_lattice3(sK212)
| ~ r2_hidden(u1_struct_0(sK212),sK211)
| ~ v2_orders_2(sK212)
| ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| spl1127_10 ),
inference(forward_subsumption_resolution,[],[f25220,f16366]) ).
fof(f25222,plain,
( ~ v3_lattice3(sK212)
| ~ r2_hidden(u1_struct_0(sK212),sK211)
| ~ v2_orders_2(sK212)
| ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| spl1127_10
| ~ spl1127_13 ),
inference(forward_subsumption_resolution,[],[f25221,f24893]) ).
fof(f25223,plain,
( ~ r2_hidden(u1_struct_0(sK212),sK211)
| ~ v2_orders_2(sK212)
| ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| spl1127_10
| ~ spl1127_12
| ~ spl1127_13 ),
inference(forward_subsumption_resolution,[],[f25222,f24888]) ).
fof(f25224,plain,
( ~ v2_orders_2(sK212)
| ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| spl1127_10
| ~ spl1127_11
| ~ spl1127_12
| ~ spl1127_13 ),
inference(forward_subsumption_resolution,[],[f25223,f24883]) ).
fof(f25225,plain,
( ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| spl1127_10
| ~ spl1127_11
| ~ spl1127_12
| ~ spl1127_13 ),
inference(forward_subsumption_resolution,[],[f25224,f16372]) ).
fof(f25226,plain,
( ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| spl1127_10
| ~ spl1127_11
| ~ spl1127_12
| ~ spl1127_13 ),
inference(forward_subsumption_resolution,[],[f25225,f16371]) ).
fof(f25227,plain,
( ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| spl1127_10
| ~ spl1127_11
| ~ spl1127_12
| ~ spl1127_13 ),
inference(forward_subsumption_resolution,[],[f25226,f16370]) ).
fof(f25228,plain,
( ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| spl1127_10
| ~ spl1127_11
| ~ spl1127_12
| ~ spl1127_13 ),
inference(forward_subsumption_resolution,[],[f25227,f16369]) ).
fof(f25229,plain,
( ~ l1_orders_2(sK212)
| spl1127_10
| ~ spl1127_11
| ~ spl1127_12
| ~ spl1127_13 ),
inference(forward_subsumption_resolution,[],[f25228,f16368]) ).
fof(f25230,plain,
( $false
| spl1127_10
| ~ spl1127_11
| ~ spl1127_12
| ~ spl1127_13 ),
inference(forward_subsumption_resolution,[],[f25229,f16367]) ).
fof(f25231,plain,
( spl1127_10
| ~ spl1127_11
| ~ spl1127_12
| ~ spl1127_13 ),
inference(avatar_contradiction_clause,[],[f25230]) ).
fof(f25233,plain,
( ~ l2_altcat_1(k5_waybel34(sK211))
| v3_struct_0(k5_waybel34(sK211))
| m1_subset_1(sK212,u1_struct_0(k5_waybel34(sK211)))
| v2_setfam_1(sK211)
| ~ spl1127_37 ),
inference(resolution,[],[f25216,f16624]) ).
fof(f25234,plain,
( ~ l2_altcat_1(k5_waybel34(sK211))
| v3_struct_0(k5_waybel34(sK211))
| m1_subset_1(sK212,u1_struct_0(k5_waybel34(sK211)))
| ~ spl1127_37 ),
inference(forward_subsumption_resolution,[],[f25233,f16366]) ).
fof(f25236,definition,
( spl1127_38
<=> m1_subset_1(sK212,u1_struct_0(k5_waybel34(sK211))) ),
introduced(definition,[new_symbols(definition,[spl1127_38])],[avatar_definition]) ).
fof(f25238,plain,
( m1_subset_1(sK212,u1_struct_0(k5_waybel34(sK211)))
| ~ spl1127_38 ),
inference(avatar_component_clause,[],[f25236]) ).
fof(f25240,definition,
( spl1127_39
<=> v3_struct_0(k5_waybel34(sK211)) ),
introduced(definition,[new_symbols(definition,[spl1127_39])],[avatar_definition]) ).
fof(f25242,plain,
( v3_struct_0(k5_waybel34(sK211))
| ~ spl1127_39 ),
inference(avatar_component_clause,[],[f25240]) ).
fof(f25244,definition,
( spl1127_40
<=> l2_altcat_1(k5_waybel34(sK211)) ),
introduced(definition,[new_symbols(definition,[spl1127_40])],[avatar_definition]) ).
fof(f25246,plain,
( ~ l2_altcat_1(k5_waybel34(sK211))
| spl1127_40 ),
inference(avatar_component_clause,[],[f25244]) ).
fof(f25247,plain,
( spl1127_38
| spl1127_39
| ~ spl1127_40
| ~ spl1127_37 ),
inference(avatar_split_clause,[],[f25234,f25215,f25244,f25240,f25236]) ).
fof(f25396,plain,
( v1_xboole_0(sK211)
| spl1127_40 ),
inference(resolution,[],[f16914,f25246]) ).
fof(f25397,plain,
( v2_setfam_1(sK211)
| spl1127_40 ),
inference(resolution,[],[f25396,f16451]) ).
fof(f25398,plain,
( $false
| spl1127_40 ),
inference(forward_subsumption_resolution,[],[f25397,f16366]) ).
fof(f25399,plain,
spl1127_40,
inference(avatar_contradiction_clause,[],[f25398]) ).
fof(f25400,plain,
( v2_setfam_1(sK211)
| ~ spl1127_36 ),
inference(resolution,[],[f25213,f16628]) ).
fof(f25401,plain,
( $false
| ~ spl1127_36 ),
inference(forward_subsumption_resolution,[],[f25400,f16366]) ).
fof(f25402,plain,
~ spl1127_36,
inference(avatar_contradiction_clause,[],[f25401]) ).
fof(f25405,plain,
( v1_orders_2(sK212)
| ~ v2_orders_2(sK212)
| ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| ~ spl1127_38 ),
inference(resolution,[],[f25238,f16428]) ).
fof(f25414,plain,
( ~ v2_orders_2(sK212)
| ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_13
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25405,f24892]) ).
fof(f25415,plain,
( ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_13
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25414,f16372]) ).
fof(f25416,plain,
( ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_13
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25415,f16371]) ).
fof(f25417,plain,
( ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_13
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25416,f16370]) ).
fof(f25418,plain,
( ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_13
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25417,f16369]) ).
fof(f25419,plain,
( ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_13
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25418,f16368]) ).
fof(f25420,plain,
( v2_setfam_1(sK211)
| spl1127_13
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25419,f16367]) ).
fof(f25421,plain,
( $false
| spl1127_13
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25420,f16366]) ).
fof(f25422,plain,
( spl1127_13
| ~ spl1127_38 ),
inference(avatar_contradiction_clause,[],[f25421]) ).
fof(f25424,plain,
( v1_xboole_0(sK211)
| ~ spl1127_39 ),
inference(resolution,[],[f25242,f16920]) ).
fof(f25425,plain,
( v2_setfam_1(sK211)
| ~ spl1127_39 ),
inference(resolution,[],[f25424,f16451]) ).
fof(f25426,plain,
( $false
| ~ spl1127_39 ),
inference(forward_subsumption_resolution,[],[f25425,f16366]) ).
fof(f25427,plain,
~ spl1127_39,
inference(avatar_contradiction_clause,[],[f25426]) ).
fof(f25432,plain,
( v3_lattice3(sK212)
| ~ v2_orders_2(sK212)
| ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| ~ spl1127_38 ),
inference(resolution,[],[f25238,f16427]) ).
fof(f25433,plain,
( r2_hidden(u1_struct_0(sK212),sK211)
| ~ v2_orders_2(sK212)
| ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| ~ spl1127_38 ),
inference(resolution,[],[f25238,f16426]) ).
fof(f25436,plain,
( ~ v2_orders_2(sK212)
| ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_12
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25432,f24887]) ).
fof(f25437,plain,
( ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_12
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25436,f16372]) ).
fof(f25438,plain,
( ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_12
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25437,f16371]) ).
fof(f25439,plain,
( ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_12
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25438,f16370]) ).
fof(f25440,plain,
( ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_12
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25439,f16369]) ).
fof(f25441,plain,
( ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_12
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25440,f16368]) ).
fof(f25442,plain,
( v2_setfam_1(sK211)
| spl1127_12
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25441,f16367]) ).
fof(f25443,plain,
( $false
| spl1127_12
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25442,f16366]) ).
fof(f25444,plain,
( spl1127_12
| ~ spl1127_38 ),
inference(avatar_contradiction_clause,[],[f25443]) ).
fof(f25445,plain,
( ~ v2_orders_2(sK212)
| ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_11
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25433,f24882]) ).
fof(f25446,plain,
( ~ v3_orders_2(sK212)
| ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_11
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25445,f16372]) ).
fof(f25447,plain,
( ~ v4_orders_2(sK212)
| ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_11
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25446,f16371]) ).
fof(f25448,plain,
( ~ v1_lattice3(sK212)
| ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_11
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25447,f16370]) ).
fof(f25449,plain,
( ~ v2_lattice3(sK212)
| ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_11
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25448,f16369]) ).
fof(f25450,plain,
( ~ l1_orders_2(sK212)
| v2_setfam_1(sK211)
| spl1127_11
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25449,f16368]) ).
fof(f25451,plain,
( v2_setfam_1(sK211)
| spl1127_11
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25450,f16367]) ).
fof(f25452,plain,
( $false
| spl1127_11
| ~ spl1127_38 ),
inference(forward_subsumption_resolution,[],[f25451,f16366]) ).
fof(f25453,plain,
( spl1127_11
| ~ spl1127_38 ),
inference(avatar_contradiction_clause,[],[f25452]) ).
cnf(s7,plain,
( spl1127_10
| spl1127_11 ),
inference(sat_conversion,[],[f24884]) ).
cnf(s8,plain,
( spl1127_10
| spl1127_12 ),
inference(sat_conversion,[],[f24889]) ).
cnf(s9,plain,
( spl1127_10
| spl1127_13 ),
inference(sat_conversion,[],[f24894]) ).
cnf(s10,plain,
( ~ spl1127_10
| ~ spl1127_11
| ~ spl1127_12
| ~ spl1127_13 ),
inference(sat_conversion,[],[f24895]) ).
cnf(s25,plain,
( ~ spl1127_10
| spl1127_36
| spl1127_37 ),
inference(sat_conversion,[],[f25217]) ).
cnf(s26,plain,
( spl1127_10
| ~ spl1127_11
| ~ spl1127_12
| ~ spl1127_13 ),
inference(sat_conversion,[],[f25231]) ).
cnf(s27,plain,
( ~ spl1127_37
| spl1127_38
| spl1127_39
| ~ spl1127_40 ),
inference(sat_conversion,[],[f25247]) ).
cnf(s31,plain,
spl1127_40,
inference(sat_conversion,[],[f25399]) ).
cnf(s32,plain,
~ spl1127_36,
inference(sat_conversion,[],[f25402]) ).
cnf(s34,plain,
( spl1127_13
| ~ spl1127_38 ),
inference(sat_conversion,[],[f25422]) ).
cnf(s35,plain,
~ spl1127_39,
inference(sat_conversion,[],[f25427]) ).
cnf(s36,plain,
( spl1127_12
| ~ spl1127_38 ),
inference(sat_conversion,[],[f25444]) ).
cnf(s37,plain,
( spl1127_11
| ~ spl1127_38 ),
inference(sat_conversion,[],[f25453]) ).
cnf(s39,plain,
( ~ spl1127_37
| spl1127_38 ),
inference(rat,[],[s27,s31,s35]) ).
cnf(s40,plain,
( ~ spl1127_10
| spl1127_37 ),
inference(rat,[],[s25,s32]) ).
cnf(s41,plain,
spl1127_10,
inference(rat,[],[s26,s7,s8,s9]) ).
cnf(s42,plain,
spl1127_37,
inference(rat,[],[s40,s41]) ).
cnf(s43,plain,
spl1127_38,
inference(rat,[],[s39,s42]) ).
cnf(s44,plain,
spl1127_11,
inference(rat,[],[s37,s43]) ).
cnf(s45,plain,
spl1127_12,
inference(rat,[],[s36,s43]) ).
cnf(s46,plain,
spl1127_13,
inference(rat,[],[s34,s43]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s10,s41,s44,s45,s46]) ).
fof(f25454,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT374+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:13:33 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 15.89/3.66 % (2764447)Detected formulas, will run a generic FOF schedule.
% 15.89/3.66 % (2764456)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=471135442:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 15.89/3.66 % (2764453)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=48105799:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 15.89/3.66 % (2764452)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=1384763050:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 15.89/3.66 % (2764454)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=1349075738:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 15.89/3.66 % (2764455)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3718401790:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 15.89/3.66 % (2764458)dis-21_1_sil=8000:lcm=predicate:random_seed=3013230910:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 15.89/3.66 % (2764457)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2000841839:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 15.89/3.66 % (2764456)Instruction limit reached!
% 15.89/3.66 % (2764456)------------------------------
% 15.89/3.66 % (2764456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.89/3.66 % (2764456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/3.66 % (2764456)CaDiCaL version: 2.1.3
% 15.89/3.66 % (2764456)Termination reason: Instruction limit
% 15.89/3.66 % (2764456)Termination phase: Preprocessing 3
% 15.89/3.66 % (2764456)Time elapsed: 0.058 s
% 15.89/3.66 % (2764456)Peak memory usage: 103 MB
% 15.89/3.66 % (2764456)Instructions burned: 120 (million)
% 15.89/3.66 % (2764455)Refutation not found, incomplete strategy
% 15.89/3.66 % (2764455)------------------------------
% 15.89/3.66 % (2764455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.89/3.66 % (2764455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/3.66 % (2764455)CaDiCaL version: 2.1.3
% 15.89/3.66 % (2764455)Termination reason: Refutation not found, incomplete strategy
% 15.89/3.66 % (2764455)Time elapsed: 0.061 s
% 15.89/3.66 % (2764455)Peak memory usage: 104 MB
% 15.89/3.66 % (2764455)Instructions burned: 70 (million)
% 15.89/3.66 % (2764457)Instruction limit reached!
% 15.89/3.66 % (2764457)------------------------------
% 15.89/3.66 % (2764457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.89/3.66 % (2764457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/3.66 % (2764457)CaDiCaL version: 2.1.3
% 15.89/3.66 % (2764457)Termination reason: Instruction limit
% 15.89/3.66 % (2764457)Termination phase: Property scanning
% 15.89/3.66 % (2764457)Time elapsed: 0.080 s
% 15.89/3.66 % (2764457)Peak memory usage: 99 MB
% 15.89/3.66 % (2764457)Instructions burned: 140 (million)
% 15.89/3.66 % (2764458)Instruction limit reached!
% 15.89/3.66 % (2764458)------------------------------
% 15.89/3.66 % (2764458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.89/3.66 % (2764458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/3.66 % (2764458)CaDiCaL version: 2.1.3
% 15.89/3.66 % (2764458)Termination reason: Instruction limit
% 15.89/3.66 % (2764458)Termination phase: Preprocessing 1
% 15.89/3.66 % (2764458)Time elapsed: 0.105 s
% 15.89/3.66 % (2764458)Peak memory usage: 100 MB
% 15.89/3.66 % (2764458)Instructions burned: 130 (million)
% 15.89/3.66 % (2764466)lrs+10_1_sil=8000:sp=occurrence:random_seed=2850543991:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 15.89/3.66 % (2764466)Instruction limit reached!
% 15.89/3.66 % (2764466)------------------------------
% 15.89/3.66 % (2764466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.89/3.66 % (2764466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/3.66 % (2764466)CaDiCaL version: 2.1.3
% 15.89/3.66 % (2764466)Termination reason: Instruction limit
% 15.89/3.66 % (2764466)Termination phase: Saturation
% 15.89/3.66 % (2764466)Time elapsed: 0.106 s
% 15.89/3.66 % (2764466)Peak memory usage: 106 MB
% 15.89/3.66 % (2764466)Instructions burned: 286 (million)
% 23.10/4.64 % (2764467)lrs+10_1_sil=32000:urr=on:br=off:random_seed=659892229:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 23.10/4.64 % (2764468)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2347124005:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 23.10/4.64 % (2764455)------------------------------
% 23.10/4.64 % (2764455)------------------------------
% 23.10/4.64 % (2764467)Instruction limit reached!
% 23.10/4.64 % (2764467)------------------------------
% 23.10/4.64 % (2764467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.10/4.64 % (2764467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.10/4.64 % (2764467)CaDiCaL version: 2.1.3
% 23.10/4.64 % (2764467)Termination reason: Instruction limit
% 23.10/4.64 % (2764467)Termination phase: SInE selection
% 23.10/4.64 % (2764467)Time elapsed: 0.073 s
% 23.10/4.64 % (2764467)Peak memory usage: 99 MB
% 23.10/4.64 % (2764467)Instructions burned: 157 (million)
% 23.10/4.64 % (2764470)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=1364903790:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 23.10/4.64 % (2764470)Instruction limit reached!
% 23.10/4.64 % (2764470)------------------------------
% 23.10/4.64 % (2764470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.10/4.64 % (2764470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.10/4.64 % (2764470)CaDiCaL version: 2.1.3
% 23.10/4.64 % (2764470)Termination reason: Instruction limit
% 23.10/4.64 % (2764470)Termination phase: Preprocessing 1
% 23.10/4.64 % (2764470)Time elapsed: 0.081 s
% 23.10/4.64 % (2764470)Peak memory usage: 100 MB
% 23.10/4.64 % (2764470)Instructions burned: 249 (million)
% 23.10/4.64 % (2764473)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2249625735:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 23.10/4.64 % (2764468)Instruction limit reached!
% 23.10/4.64 % (2764468)------------------------------
% 23.10/4.64 % (2764468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.10/4.64 % (2764468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.10/4.64 % (2764468)CaDiCaL version: 2.1.3
% 23.10/4.64 % (2764468)Termination reason: Instruction limit
% 23.10/4.64 % (2764468)Termination phase: Saturation
% 23.10/4.64 % (2764468)Time elapsed: 0.204 s
% 23.10/4.64 % (2764468)Peak memory usage: 105 MB
% 23.10/4.64 % (2764468)Instructions burned: 326 (million)
% 23.10/4.64 % (2764474)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1229792990:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 23.10/4.64 % (2764477)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1314840110:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 23.10/4.64 % (2764478)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3051469594:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 23.10/4.64 % (2764477)Instruction limit reached!
% 23.10/4.64 % (2764477)------------------------------
% 23.10/4.64 % (2764477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.10/4.64 % (2764477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.10/4.64 % (2764477)CaDiCaL version: 2.1.3
% 23.10/4.64 % (2764477)Termination reason: Instruction limit
% 23.10/4.64 % (2764477)Termination phase: Preprocessing 3
% 23.10/4.64 % (2764477)Time elapsed: 0.057 s
% 23.10/4.64 % (2764477)Peak memory usage: 103 MB
% 23.10/4.64 % (2764477)Instructions burned: 113 (million)
% 23.10/4.64 % (2764473)Instruction limit reached!
% 23.10/4.64 % (2764473)------------------------------
% 23.10/4.64 % (2764473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.10/4.64 % (2764473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.10/4.64 % (2764473)CaDiCaL version: 2.1.3
% 23.10/4.64 % (2764473)Termination reason: Instruction limit
% 23.10/4.64 % (2764473)Termination phase: Saturation
% 23.10/4.64 % (2764473)Time elapsed: 0.191 s
% 23.10/4.64 % (2764473)Peak memory usage: 107 MB
% 23.10/4.64 % (2764473)Instructions burned: 295 (million)
% 23.10/4.64 % (2764478)Instruction limit reached!
% 23.10/4.64 % (2764478)------------------------------
% 23.10/4.64 % (2764478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.10/4.64 % (2764478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764478)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764478)Termination reason: Instruction limit
% 20.97/6.06 % (2764478)Termination phase: Preprocessing 2
% 20.97/6.06 % (2764478)Time elapsed: 0.105 s
% 20.97/6.06 % (2764478)Peak memory usage: 107 MB
% 20.97/6.06 % (2764478)Instructions burned: 127 (million)
% 20.97/6.06 % (2764482)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2488613722:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 20.97/6.06 % (2764482)Instruction limit reached!
% 20.97/6.06 % (2764482)------------------------------
% 20.97/6.06 % (2764482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764482)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764482)Termination reason: Instruction limit
% 20.97/6.06 % (2764482)Termination phase: Property scanning
% 20.97/6.06 % (2764482)Time elapsed: 0.027 s
% 20.97/6.06 % (2764482)Peak memory usage: 99 MB
% 20.97/6.06 % (2764482)Instructions burned: 116 (million)
% 20.97/6.06 % (2764483)lrs+10_1_sil=8000:sp=occurrence:random_seed=153812483:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 20.97/6.06 % (2764484)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4185677921:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 20.97/6.06 % (2764486)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=871295259:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 20.97/6.06 % (2764484)Instruction limit reached!
% 20.97/6.06 % (2764484)------------------------------
% 20.97/6.06 % (2764484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764484)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764484)Termination reason: Instruction limit
% 20.97/6.06 % (2764484)Termination phase: Saturation
% 20.97/6.06 % (2764484)Time elapsed: 0.247 s
% 20.97/6.06 % (2764484)Peak memory usage: 109 MB
% 20.97/6.06 % (2764484)Instructions burned: 437 (million)
% 20.97/6.06 % (2764490)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1004419939:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 20.97/6.06 % (2764483)Instruction limit reached!
% 20.97/6.06 % (2764483)------------------------------
% 20.97/6.06 % (2764483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764483)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764483)Termination reason: Instruction limit
% 20.97/6.06 % (2764483)Termination phase: Saturation
% 20.97/6.06 % (2764483)Time elapsed: 0.527 s
% 20.97/6.06 % (2764483)Peak memory usage: 121 MB
% 20.97/6.06 % (2764483)Instructions burned: 907 (million)
% 20.97/6.06 % (2764490)Instruction limit reached!
% 20.97/6.06 % (2764490)------------------------------
% 20.97/6.06 % (2764490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764490)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764490)Termination reason: Instruction limit
% 20.97/6.06 % (2764490)Termination phase: NewCNF
% 20.97/6.06 % (2764490)Time elapsed: 0.109 s
% 20.97/6.06 % (2764490)Peak memory usage: 104 MB
% 20.97/6.06 % (2764490)Instructions burned: 135 (million)
% 20.97/6.06 % (2764492)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4121612443:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 20.97/6.06 % (2764493)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3348507793:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 20.97/6.06 % (2764492)Instruction limit reached!
% 20.97/6.06 % (2764492)------------------------------
% 20.97/6.06 % (2764492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764492)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764492)Termination reason: Instruction limit
% 20.97/6.06 % (2764492)Termination phase: Property scanning
% 20.97/6.06 % (2764492)Time elapsed: 0.403 s
% 20.97/6.06 % (2764492)Peak memory usage: 119 MB
% 20.97/6.06 % (2764492)Instructions burned: 594 (million)
% 20.97/6.06 % (2764474)Instruction limit reached!
% 20.97/6.06 % (2764474)------------------------------
% 20.97/6.06 % (2764474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764474)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764474)Termination reason: Instruction limit
% 20.97/6.06 % (2764474)Termination phase: Saturation
% 20.97/6.06 % (2764474)Time elapsed: 1.571 s
% 20.97/6.06 % (2764474)Peak memory usage: 265 MB
% 20.97/6.06 % (2764474)Instructions burned: 2350 (million)
% 20.97/6.06 % (2764496)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=233648076:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 20.97/6.06 % (2764496)Instruction limit reached!
% 20.97/6.06 % (2764496)------------------------------
% 20.97/6.06 % (2764496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764496)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764496)Termination reason: Instruction limit
% 20.97/6.06 % (2764496)Termination phase: Property scanning
% 20.97/6.06 % (2764496)Time elapsed: 0.058 s
% 20.97/6.06 % (2764496)Peak memory usage: 99 MB
% 20.97/6.06 % (2764496)Instructions burned: 127 (million)
% 20.97/6.06 % (2764497)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1868128904:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 20.97/6.06 % (2764497)Instruction limit reached!
% 20.97/6.06 % (2764497)------------------------------
% 20.97/6.06 % (2764497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764497)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764497)Termination reason: Instruction limit
% 20.97/6.06 % (2764497)Termination phase: Property scanning
% 20.97/6.06 % (2764497)Time elapsed: 0.062 s
% 20.97/6.06 % (2764497)Peak memory usage: 99 MB
% 20.97/6.06 % (2764497)Instructions burned: 136 (million)
% 20.97/6.06 % (2764499)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1060300408:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/141Mi)
% 20.97/6.06 % (2764499)Refutation not found, incomplete strategy
% 20.97/6.06 % (2764499)------------------------------
% 20.97/6.06 % (2764499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764499)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764499)Termination reason: Refutation not found, incomplete strategy
% 20.97/6.06 % (2764499)Time elapsed: 0.063 s
% 20.97/6.06 % (2764499)Peak memory usage: 104 MB
% 20.97/6.06 % (2764499)Instructions burned: 68 (million)
% 20.97/6.06 % (2764501)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=389294343:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 20.97/6.06 % (2764499)------------------------------
% 20.97/6.06 % (2764499)------------------------------
% 20.97/6.06 % (2764501)Instruction limit reached!
% 20.97/6.06 % (2764501)------------------------------
% 20.97/6.06 % (2764501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764501)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764501)Termination reason: Instruction limit
% 20.97/6.06 % (2764501)Termination phase: Saturation
% 20.97/6.06 % (2764501)Time elapsed: 0.271 s
% 20.97/6.06 % (2764501)Peak memory usage: 108 MB
% 20.97/6.06 % (2764501)Instructions burned: 431 (million)
% 20.97/6.06 % (2764504)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=3396785633:i=6060:aac=none:ins=25_2965 on theBenchmark for (2965ds/6060Mi)
% 20.97/6.06 % (2764505)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=3232003966:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2964 on theBenchmark for (2964ds/150Mi)
% 20.97/6.06 % (2764486)Instruction limit reached!
% 20.97/6.06 % (2764486)------------------------------
% 20.97/6.06 % (2764486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764486)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764486)Termination reason: Instruction limit
% 20.97/6.06 % (2764486)Termination phase: Saturation
% 20.97/6.06 % (2764486)Time elapsed: 2.106 s
% 20.97/6.06 % (2764486)Peak memory usage: 396 MB
% 20.97/6.06 % (2764486)Instructions burned: 5205 (million)
% 20.97/6.06 % (2764505)Instruction limit reached!
% 20.97/6.06 % (2764505)------------------------------
% 20.97/6.06 % (2764505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764505)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764505)Termination reason: Instruction limit
% 20.97/6.06 % (2764505)Termination phase: Unused predicate definition removal
% 20.97/6.06 % (2764505)Time elapsed: 0.121 s
% 20.97/6.06 % (2764505)Peak memory usage: 101 MB
% 20.97/6.06 % (2764505)Instructions burned: 150 (million)
% 20.97/6.06 % (2764508)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3895795885:i=14155:bd=all_2961 on theBenchmark for (2961ds/14155Mi)
% 20.97/6.06 % (2764509)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2625950402:i=667:av=off:fsr=off_2961 on theBenchmark for (2961ds/667Mi)
% 20.97/6.06 % (2764509)Instruction limit reached!
% 20.97/6.06 % (2764509)------------------------------
% 20.97/6.06 % (2764509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764509)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764509)Termination reason: Instruction limit
% 20.97/6.06 % (2764509)Termination phase: NewCNF
% 20.97/6.06 % (2764509)Time elapsed: 0.472 s
% 20.97/6.06 % (2764509)Peak memory usage: 128 MB
% 20.97/6.06 % (2764509)Instructions burned: 667 (million)
% 20.97/6.06 % (2764512)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=58931938:s2a=on:i=185:s2at=1.8:fdi=4_2954 on theBenchmark for (2954ds/185Mi)
% 20.97/6.06 % (2764512)Instruction limit reached!
% 20.97/6.06 % (2764512)------------------------------
% 20.97/6.06 % (2764512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.97/6.06 % (2764512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/6.06 % (2764512)CaDiCaL version: 2.1.3
% 20.97/6.06 % (2764512)Termination reason: Instruction limit
% 20.97/6.06 % (2764512)Termination phase: Preprocessing 2
% 20.97/6.06 % (2764512)Time elapsed: 0.151 s
% 20.97/6.06 % (2764512)Peak memory usage: 102 MB
% 20.97/6.06 % (2764512)Instructions burned: 185 (million)
% 20.97/6.06 % (2764493)First to succeed.
% 20.97/6.06 % (2764493)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2764447"
% 20.97/6.06 % (2764514)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4141388532:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 20.97/6.06 % (2764493)Refutation found. Thanks to Tanya!
% 20.97/6.06 % SZS status Theorem for theBenchmark
% 20.97/6.06 % SZS output start Proof for theBenchmark
% See solution above
% 33.94/6.26 % (2764493)------------------------------
% 33.94/6.26 % (2764493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.94/6.26 % (2764493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.94/6.26 % (2764493)CaDiCaL version: 2.1.3
% 33.94/6.26 % (2764493)Termination reason: Refutation
% 33.94/6.26 % (2764493)Time elapsed: 2.529 s
% 33.94/6.26 % (2764493)Peak memory usage: 232 MB
% 33.94/6.26 % (2764493)Instructions burned: 4082 (million)
% 33.94/6.26 % (2764493)------------------------------
% 33.94/6.26 % (2764493)------------------------------
% 33.94/6.26 % (2764447)Success in time 5.21 s
% 33.94/6.26 % Vampire exiting
%------------------------------------------------------------------------------