%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT351+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:47:12 AM UTC 2026
% Result : Theorem 0.71s 0.89s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 169 ( 44 unt; 9 def)
% Number of atoms : 875 ( 30 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 1168 ( 462 ~; 434 |; 254 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 35 ( 33 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-1 aty)
% Number of variables : 97 ( 0 sgn 91 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( r1_waybel22(X1,X2)
& k1_card_1(X2) = k1_card_1(X0) )
=> r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_waybel22) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( r1_waybel22(X1,X2)
& k1_card_1(X2) = k1_card_1(X0) )
=> r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f19,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f34,axiom,
! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_waybel22) ).
fof(f42,axiom,
! [X0] :
( v1_orders_2(k2_yellow_1(X0))
& l1_orders_2(k2_yellow_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
fof(f44,axiom,
! [X0] :
( v1_orders_2(k3_yellow_1(X0))
& l1_orders_2(k3_yellow_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f66,axiom,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v2_waybel_1(k3_yellow_1(X0))
& v9_waybel_1(k3_yellow_1(X0))
& v10_waybel_1(k3_yellow_1(X0))
& v11_waybel_1(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_waybel_8) ).
fof(f71,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel22) ).
fof(f111,axiom,
! [X0] : k1_card_1(k1_waybel22(X0)) = k1_card_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_waybel22) ).
fof(f112,axiom,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_waybel22) ).
fof(f113,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& v3_waybel_3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2,X3] :
( ( r1_waybel22(X0,X2)
& r1_waybel22(X1,X3)
& k1_card_1(X2) = k1_card_1(X3) )
=> r5_waybel_1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_waybel22) ).
fof(f125,plain,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v2_waybel_1(k3_yellow_1(X0))
& v9_waybel_1(k3_yellow_1(X0))
& v10_waybel_1(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f66]) ).
fof(f126,plain,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v2_waybel_1(k3_yellow_1(X0))
& v9_waybel_1(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f125]) ).
fof(f127,plain,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v9_waybel_1(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f126]) ).
fof(f134,plain,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f127]) ).
fof(f139,plain,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f134]) ).
fof(f147,plain,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f139]) ).
fof(f150,plain,
? [X0,X1] :
( ? [X2] :
( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
& r1_waybel22(X1,X2)
& k1_card_1(X2) = k1_card_1(X0) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f151,plain,
? [X0,X1] :
( ? [X2] :
( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
& r1_waybel22(X1,X2)
& k1_card_1(X2) = k1_card_1(X0) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) ),
inference(flattening,[],[f150]) ).
fof(f181,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f182,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f181]) ).
fof(f239,plain,
! [X0] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f240,plain,
! [X0] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f239]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r5_waybel_1(X0,X1)
| ~ r1_waybel22(X0,X2)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X2) != k1_card_1(X3) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ v3_waybel_3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r5_waybel_1(X0,X1)
| ~ r1_waybel22(X0,X2)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X2) != k1_card_1(X3) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ v3_waybel_3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f273]) ).
fof(f298,definition,
! [X0] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))) )
| ~ sP6(X0) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f299,plain,
! [X0] :
( sP6(X0)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f240,f298]) ).
fof(f302,plain,
( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
& r1_waybel22(sK9,sK10)
& k1_card_1(sK10) = k1_card_1(sK8)
& v2_orders_2(sK9)
& v3_orders_2(sK9)
& v4_orders_2(sK9)
& v1_lattice3(sK9)
& v2_lattice3(sK9)
& v3_lattice3(sK9)
& v3_waybel_3(sK9)
& l1_orders_2(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10)],[f151]) ).
fof(f314,plain,
! [X0] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f298]) ).
fof(f344,plain,
l1_orders_2(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f345,plain,
v3_waybel_3(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f346,plain,
v3_lattice3(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f347,plain,
v2_lattice3(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f348,plain,
v1_lattice3(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f349,plain,
v4_orders_2(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f350,plain,
v3_orders_2(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f351,plain,
v2_orders_2(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f352,plain,
k1_card_1(sK10) = k1_card_1(sK8),
inference(cnf_transformation,[],[f302]) ).
fof(f353,plain,
r1_waybel22(sK9,sK10),
inference(cnf_transformation,[],[f302]) ).
fof(f354,plain,
~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))),
inference(cnf_transformation,[],[f302]) ).
fof(f411,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f481,plain,
! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
inference(cnf_transformation,[],[f34]) ).
fof(f486,plain,
! [X0] : l1_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f488,plain,
! [X0] : l1_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f532,plain,
! [X0] : v2_yellow_0(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f535,plain,
! [X0] : v2_lattice3(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f537,plain,
! [X0] : v4_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f538,plain,
! [X0] : v3_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f539,plain,
! [X0] : v2_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f547,plain,
! [X0] :
( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f548,plain,
! [X0] :
( v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f549,plain,
! [X0] :
( v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f550,plain,
! [X0] :
( v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f556,plain,
! [X0] :
( v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f557,plain,
! [X0] :
( v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f558,plain,
! [X0] :
( v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f561,plain,
! [X0] :
( sP6(X0)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f718,plain,
! [X0] : k1_card_1(X0) = k1_card_1(k1_waybel22(X0)),
inference(cnf_transformation,[],[f111]) ).
fof(f719,plain,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
inference(cnf_transformation,[],[f112]) ).
fof(f720,plain,
! [X2,X3,X0,X1] :
( r5_waybel_1(X0,X1)
| ~ r1_waybel22(X0,X2)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X2) != k1_card_1(X3)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ v3_waybel_3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f748,plain,
! [X0] : k1_card_1(X0) = k1_card_1(a_1_0_waybel22(X0)),
inference(forward_demodulation,[],[f718,f481]) ).
fof(f750,plain,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),a_1_0_waybel22(X0)),
inference(forward_demodulation,[],[f719,f481]) ).
fof(f900,plain,
! [X0] :
( sP6(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f561,f411]) ).
fof(f1100,plain,
! [X0,X1] :
( ~ r1_waybel22(sK9,X0)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| k1_card_1(X0) != k1_card_1(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_orders_2(sK9)
| ~ v3_orders_2(sK9)
| ~ v4_orders_2(sK9)
| ~ v1_lattice3(sK9)
| ~ v2_lattice3(sK9)
| ~ v3_lattice3(sK9)
| ~ v3_waybel_3(sK9)
| ~ l1_orders_2(sK9) ),
inference(resolution,[],[f720,f354]) ).
fof(f1101,plain,
! [X0,X1] :
( ~ r1_waybel22(sK9,X0)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| k1_card_1(X0) != k1_card_1(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_orders_2(sK9)
| ~ v3_orders_2(sK9)
| ~ v4_orders_2(sK9)
| ~ v1_lattice3(sK9)
| ~ v2_lattice3(sK9)
| ~ v3_lattice3(sK9)
| ~ v3_waybel_3(sK9)
| ~ l1_orders_2(sK9) ),
inference(forward_subsumption_resolution,[],[f1100,f486]) ).
fof(f1102,plain,
! [X0,X1] :
( ~ r1_waybel22(sK9,X0)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| k1_card_1(X0) != k1_card_1(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(sK9)
| ~ v4_orders_2(sK9)
| ~ v1_lattice3(sK9)
| ~ v2_lattice3(sK9)
| ~ v3_lattice3(sK9)
| ~ v3_waybel_3(sK9)
| ~ l1_orders_2(sK9) ),
inference(forward_subsumption_resolution,[],[f1101,f351]) ).
fof(f1103,plain,
! [X0,X1] :
( ~ r1_waybel22(sK9,X0)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| k1_card_1(X0) != k1_card_1(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(sK9)
| ~ v1_lattice3(sK9)
| ~ v2_lattice3(sK9)
| ~ v3_lattice3(sK9)
| ~ v3_waybel_3(sK9)
| ~ l1_orders_2(sK9) ),
inference(forward_subsumption_resolution,[],[f1102,f350]) ).
fof(f1104,plain,
! [X0,X1] :
( ~ r1_waybel22(sK9,X0)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| k1_card_1(X0) != k1_card_1(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(sK9)
| ~ v2_lattice3(sK9)
| ~ v3_lattice3(sK9)
| ~ v3_waybel_3(sK9)
| ~ l1_orders_2(sK9) ),
inference(forward_subsumption_resolution,[],[f1103,f349]) ).
fof(f1105,plain,
! [X0,X1] :
( ~ r1_waybel22(sK9,X0)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| k1_card_1(X0) != k1_card_1(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(sK9)
| ~ v3_lattice3(sK9)
| ~ v3_waybel_3(sK9)
| ~ l1_orders_2(sK9) ),
inference(forward_subsumption_resolution,[],[f1104,f348]) ).
fof(f1106,plain,
! [X0,X1] :
( ~ r1_waybel22(sK9,X0)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| k1_card_1(X0) != k1_card_1(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(sK9)
| ~ v3_waybel_3(sK9)
| ~ l1_orders_2(sK9) ),
inference(forward_subsumption_resolution,[],[f1105,f347]) ).
fof(f1107,plain,
! [X0,X1] :
( ~ r1_waybel22(sK9,X0)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| k1_card_1(X0) != k1_card_1(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(sK9)
| ~ l1_orders_2(sK9) ),
inference(forward_subsumption_resolution,[],[f1106,f346]) ).
fof(f1108,plain,
! [X0,X1] :
( ~ r1_waybel22(sK9,X0)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| k1_card_1(X0) != k1_card_1(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ l1_orders_2(sK9) ),
inference(forward_subsumption_resolution,[],[f1107,f345]) ).
fof(f1109,plain,
! [X0,X1] :
( ~ r1_waybel22(sK9,X0)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| k1_card_1(X0) != k1_card_1(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
inference(forward_subsumption_resolution,[],[f1108,f344]) ).
fof(f1111,definition,
( spl39_5
<=> v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
introduced(definition,[new_symbols(definition,[spl39_5])],[avatar_definition]) ).
fof(f1113,plain,
( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| spl39_5 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f1115,definition,
( spl39_6
<=> v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
introduced(definition,[new_symbols(definition,[spl39_6])],[avatar_definition]) ).
fof(f1117,plain,
( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| spl39_6 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1119,definition,
( spl39_7
<=> v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
introduced(definition,[new_symbols(definition,[spl39_7])],[avatar_definition]) ).
fof(f1121,plain,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| spl39_7 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1123,definition,
( spl39_8
<=> v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
introduced(definition,[new_symbols(definition,[spl39_8])],[avatar_definition]) ).
fof(f1125,plain,
( ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| spl39_8 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1127,definition,
( spl39_9
<=> v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
introduced(definition,[new_symbols(definition,[spl39_9])],[avatar_definition]) ).
fof(f1129,plain,
( ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| spl39_9 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1131,definition,
( spl39_10
<=> v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
introduced(definition,[new_symbols(definition,[spl39_10])],[avatar_definition]) ).
fof(f1133,plain,
( ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| spl39_10 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f1135,definition,
( spl39_11
<=> v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
introduced(definition,[new_symbols(definition,[spl39_11])],[avatar_definition]) ).
fof(f1137,plain,
( ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| spl39_11 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f1139,definition,
( spl39_12
<=> ! [X0,X1] :
( ~ r1_waybel22(sK9,X0)
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1) ) ),
introduced(definition,[new_symbols(definition,[spl39_12])],[avatar_definition]) ).
fof(f1140,plain,
( ! [X0,X1] :
( ~ r1_waybel22(sK9,X0)
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1) )
| ~ spl39_12 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1141,plain,
( ~ spl39_5
| ~ spl39_6
| ~ spl39_7
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| spl39_12 ),
inference(avatar_split_clause,[],[f1109,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111]) ).
fof(f1142,plain,
( ~ sP6(k3_yellow_1(sK8))
| spl39_5 ),
inference(resolution,[],[f1113,f547]) ).
fof(f1153,plain,
( ~ v2_orders_2(k3_yellow_1(sK8))
| ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_5 ),
inference(resolution,[],[f1142,f900]) ).
fof(f1154,plain,
( ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f1153,f539]) ).
fof(f1155,plain,
( ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f1154,f538]) ).
fof(f1156,plain,
( ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f1155,f537]) ).
fof(f1157,plain,
( ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f1156,f532]) ).
fof(f1158,plain,
( ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f1157,f535]) ).
fof(f1159,plain,
( $false
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f1158,f488]) ).
fof(f1160,plain,
spl39_5,
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1161,plain,
( ~ sP6(k3_yellow_1(sK8))
| spl39_6 ),
inference(resolution,[],[f1117,f548]) ).
fof(f1180,plain,
( ~ v2_orders_2(k3_yellow_1(sK8))
| ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_6 ),
inference(resolution,[],[f1161,f900]) ).
fof(f1181,plain,
( ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_6 ),
inference(forward_subsumption_resolution,[],[f1180,f539]) ).
fof(f1182,plain,
( ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_6 ),
inference(forward_subsumption_resolution,[],[f1181,f538]) ).
fof(f1183,plain,
( ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_6 ),
inference(forward_subsumption_resolution,[],[f1182,f537]) ).
fof(f1184,plain,
( ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_6 ),
inference(forward_subsumption_resolution,[],[f1183,f532]) ).
fof(f1185,plain,
( ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_6 ),
inference(forward_subsumption_resolution,[],[f1184,f535]) ).
fof(f1186,plain,
( $false
| spl39_6 ),
inference(forward_subsumption_resolution,[],[f1185,f488]) ).
fof(f1187,plain,
spl39_6,
inference(avatar_contradiction_clause,[],[f1186]) ).
fof(f1305,plain,
( ~ sP6(k3_yellow_1(sK8))
| spl39_11 ),
inference(resolution,[],[f558,f1137]) ).
fof(f1340,plain,
( ~ v2_orders_2(k3_yellow_1(sK8))
| ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_11 ),
inference(resolution,[],[f1305,f900]) ).
fof(f1341,plain,
( ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_11 ),
inference(forward_subsumption_resolution,[],[f1340,f539]) ).
fof(f1342,plain,
( ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_11 ),
inference(forward_subsumption_resolution,[],[f1341,f538]) ).
fof(f1343,plain,
( ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_11 ),
inference(forward_subsumption_resolution,[],[f1342,f537]) ).
fof(f1344,plain,
( ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_11 ),
inference(forward_subsumption_resolution,[],[f1343,f532]) ).
fof(f1345,plain,
( ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_11 ),
inference(forward_subsumption_resolution,[],[f1344,f535]) ).
fof(f1346,plain,
( $false
| spl39_11 ),
inference(forward_subsumption_resolution,[],[f1345,f488]) ).
fof(f1347,plain,
spl39_11,
inference(avatar_contradiction_clause,[],[f1346]) ).
fof(f1350,plain,
( ~ sP6(k3_yellow_1(sK8))
| spl39_7 ),
inference(resolution,[],[f1121,f549]) ).
fof(f1363,plain,
( ~ v2_orders_2(k3_yellow_1(sK8))
| ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_7 ),
inference(resolution,[],[f1350,f900]) ).
fof(f1364,plain,
( ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_7 ),
inference(forward_subsumption_resolution,[],[f1363,f539]) ).
fof(f1365,plain,
( ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_7 ),
inference(forward_subsumption_resolution,[],[f1364,f538]) ).
fof(f1366,plain,
( ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_7 ),
inference(forward_subsumption_resolution,[],[f1365,f537]) ).
fof(f1367,plain,
( ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_7 ),
inference(forward_subsumption_resolution,[],[f1366,f532]) ).
fof(f1368,plain,
( ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_7 ),
inference(forward_subsumption_resolution,[],[f1367,f535]) ).
fof(f1369,plain,
( $false
| spl39_7 ),
inference(forward_subsumption_resolution,[],[f1368,f488]) ).
fof(f1370,plain,
spl39_7,
inference(avatar_contradiction_clause,[],[f1369]) ).
fof(f1371,plain,
( ~ sP6(k3_yellow_1(sK8))
| spl39_8 ),
inference(resolution,[],[f1125,f550]) ).
fof(f1384,plain,
( ~ v2_orders_2(k3_yellow_1(sK8))
| ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_8 ),
inference(resolution,[],[f1371,f900]) ).
fof(f1385,plain,
( ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_8 ),
inference(forward_subsumption_resolution,[],[f1384,f539]) ).
fof(f1386,plain,
( ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_8 ),
inference(forward_subsumption_resolution,[],[f1385,f538]) ).
fof(f1387,plain,
( ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_8 ),
inference(forward_subsumption_resolution,[],[f1386,f537]) ).
fof(f1388,plain,
( ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_8 ),
inference(forward_subsumption_resolution,[],[f1387,f532]) ).
fof(f1389,plain,
( ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_8 ),
inference(forward_subsumption_resolution,[],[f1388,f535]) ).
fof(f1390,plain,
( $false
| spl39_8 ),
inference(forward_subsumption_resolution,[],[f1389,f488]) ).
fof(f1391,plain,
spl39_8,
inference(avatar_contradiction_clause,[],[f1390]) ).
fof(f1392,plain,
( ~ sP6(k3_yellow_1(sK8))
| spl39_9 ),
inference(resolution,[],[f1129,f556]) ).
fof(f1431,plain,
( ~ v2_orders_2(k3_yellow_1(sK8))
| ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_9 ),
inference(resolution,[],[f1392,f900]) ).
fof(f1432,plain,
( ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_9 ),
inference(forward_subsumption_resolution,[],[f1431,f539]) ).
fof(f1433,plain,
( ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_9 ),
inference(forward_subsumption_resolution,[],[f1432,f538]) ).
fof(f1434,plain,
( ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_9 ),
inference(forward_subsumption_resolution,[],[f1433,f537]) ).
fof(f1435,plain,
( ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_9 ),
inference(forward_subsumption_resolution,[],[f1434,f532]) ).
fof(f1436,plain,
( ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_9 ),
inference(forward_subsumption_resolution,[],[f1435,f535]) ).
fof(f1437,plain,
( $false
| spl39_9 ),
inference(forward_subsumption_resolution,[],[f1436,f488]) ).
fof(f1438,plain,
spl39_9,
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1439,plain,
( ~ sP6(k3_yellow_1(sK8))
| spl39_10 ),
inference(resolution,[],[f1133,f557]) ).
fof(f1444,plain,
( ~ v2_orders_2(k3_yellow_1(sK8))
| ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_10 ),
inference(resolution,[],[f1439,f900]) ).
fof(f1445,plain,
( ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_10 ),
inference(forward_subsumption_resolution,[],[f1444,f539]) ).
fof(f1446,plain,
( ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_10 ),
inference(forward_subsumption_resolution,[],[f1445,f538]) ).
fof(f1447,plain,
( ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_10 ),
inference(forward_subsumption_resolution,[],[f1446,f537]) ).
fof(f1448,plain,
( ~ v2_lattice3(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_10 ),
inference(forward_subsumption_resolution,[],[f1447,f532]) ).
fof(f1449,plain,
( ~ l1_orders_2(k3_yellow_1(sK8))
| spl39_10 ),
inference(forward_subsumption_resolution,[],[f1448,f535]) ).
fof(f1450,plain,
( $false
| spl39_10 ),
inference(forward_subsumption_resolution,[],[f1449,f488]) ).
fof(f1451,plain,
spl39_10,
inference(avatar_contradiction_clause,[],[f1450]) ).
fof(f1460,plain,
( ! [X0] :
( k1_card_1(X0) != k1_card_1(sK10)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0) )
| ~ spl39_12 ),
inference(resolution,[],[f1140,f353]) ).
fof(f1461,plain,
( ! [X0] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
| k1_card_1(X0) != k1_card_1(sK8) )
| ~ spl39_12 ),
inference(forward_demodulation,[],[f1460,f352]) ).
fof(f1462,plain,
( k1_card_1(sK8) != k1_card_1(a_1_0_waybel22(sK8))
| ~ spl39_12 ),
inference(resolution,[],[f1461,f750]) ).
fof(f1463,plain,
( $false
| ~ spl39_12 ),
inference(forward_subsumption_resolution,[],[f1462,f748]) ).
fof(f1464,plain,
~ spl39_12,
inference(avatar_contradiction_clause,[],[f1463]) ).
cnf(s4,plain,
( ~ spl39_5
| ~ spl39_6
| ~ spl39_7
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| spl39_12 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s5,plain,
spl39_5,
inference(sat_conversion,[],[f1160]) ).
cnf(s8,plain,
spl39_6,
inference(sat_conversion,[],[f1187]) ).
cnf(s17,plain,
spl39_11,
inference(sat_conversion,[],[f1347]) ).
cnf(s21,plain,
spl39_7,
inference(sat_conversion,[],[f1370]) ).
cnf(s24,plain,
spl39_8,
inference(sat_conversion,[],[f1391]) ).
cnf(s28,plain,
spl39_9,
inference(sat_conversion,[],[f1438]) ).
cnf(s30,plain,
spl39_10,
inference(sat_conversion,[],[f1451]) ).
cnf(s33,plain,
~ spl39_12,
inference(sat_conversion,[],[f1464]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s4,s33,s17,s30,s28,s24,s21,s8,s5]) ).
fof(f1465,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT351+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.35 % Computer : n012.cluster.edu
% 0.03/0.35 % Model : x86_64 x86_64
% 0.03/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.35 % Memory : 8046.5625MB
% 0.03/0.35 % OS : Linux 6.8.0-71-generic
% 0.03/0.35 % CPULimit : 300
% 0.03/0.35 % WCLimit : 300
% 0.03/0.35 % DateTime : Sun Sep 27 14:55:20 UTC 2026
% 0.03/0.35 % CPUTime :
% 0.03/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.37 Running first-order theorem proving
% 0.03/0.37 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
% 0.71/0.89 % (2459739)Detected formulas, will run a generic FOF schedule.
% 0.71/0.89 % (2459796)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3312925942:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.71/0.89 % (2459792)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=525205550:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.71/0.89 % (2459793)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=200941194:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.71/0.89 % (2459795)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2650531549:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.71/0.89 % (2459798)dis-21_1_sil=8000:lcm=predicate:random_seed=366551886:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.71/0.89 % (2459790)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=2272815817:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.71/0.89 % (2459791)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=1289180524:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.71/0.89 % (2459796)First to succeed.
% 0.71/0.89 % (2459796)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2459739"
% 0.71/0.89 % (2459795)Instruction limit reached!
% 0.71/0.89 % (2459795)------------------------------
% 0.71/0.89 % (2459795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.71/0.89 % (2459795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.89 % (2459795)CaDiCaL version: 2.1.3
% 0.71/0.89 % (2459795)Termination reason: Instruction limit
% 0.71/0.89 % (2459795)Termination phase: Saturation
% 0.71/0.89 % (2459795)Time elapsed: 0.029 s
% 0.71/0.89 % (2459795)Peak memory usage: 88 MB
% 0.71/0.89 % (2459795)Instructions burned: 120 (million)
% 0.71/0.89 % (2459793)Instruction limit reached!
% 0.71/0.89 % (2459793)------------------------------
% 0.71/0.89 % (2459793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.71/0.89 % (2459793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.89 % (2459793)CaDiCaL version: 2.1.3
% 0.71/0.89 % (2459793)Termination reason: Instruction limit
% 0.71/0.89 % (2459793)Termination phase: Saturation
% 0.71/0.89 % (2459793)Time elapsed: 0.032 s
% 0.71/0.89 % (2459793)Peak memory usage: 89 MB
% 0.71/0.89 % (2459793)Instructions burned: 110 (million)
% 0.71/0.89 % (2459798)Instruction limit reached!
% 0.71/0.89 % (2459798)------------------------------
% 0.71/0.89 % (2459798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.71/0.89 % (2459798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.89 % (2459798)CaDiCaL version: 2.1.3
% 0.71/0.89 % (2459798)Termination reason: Instruction limit
% 0.71/0.89 % (2459798)Termination phase: Saturation
% 0.71/0.89 % (2459798)Time elapsed: 0.038 s
% 0.71/0.89 % (2459798)Peak memory usage: 91 MB
% 0.71/0.89 % (2459798)Instructions burned: 131 (million)
% 0.71/0.89 % (2459836)lrs+10_1_sil=8000:sp=occurrence:random_seed=666282255:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.71/0.89 % (2459841)lrs+1011_1_sil=32000:sp=occurrence:random_seed=135444171:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 0.71/0.89 % (2459837)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4205393358:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.71/0.89 % (2459837)Also succeeded, but the first one will report.
% 0.71/0.89 % (2459841)Also succeeded, but the first one will report.
% 0.71/0.89 % (2459796)Refutation found. Thanks to Tanya!
% 0.71/0.89 % SZS status Theorem for theBenchmark
% 0.71/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 2.33/0.99 % (2459796)------------------------------
% 2.33/0.99 % (2459796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/0.99 % (2459796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.99 % (2459796)CaDiCaL version: 2.1.3
% 2.33/0.99 % (2459796)Termination reason: Refutation
% 2.33/0.99 % (2459796)Time elapsed: 0.015 s
% 2.33/0.99 % (2459796)Peak memory usage: 90 MB
% 2.33/0.99 % (2459796)Instructions burned: 42 (million)
% 2.33/0.99 % (2459796)------------------------------
% 2.33/0.99 % (2459796)------------------------------
% 2.33/0.99 % (2459739)Success in time 0.314 s
% 2.33/0.99 % Vampire exiting
%------------------------------------------------------------------------------