%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT351+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 : 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 6.13s 2.20s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 12
% Syntax : Number of formulae : 101 ( 39 unt; 0 def)
% Number of atoms : 644 ( 41 equ)
% Maximal formula atoms : 21 ( 6 avg)
% Number of connectives : 933 ( 390 ~; 376 |; 156 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-1 aty)
% Number of variables : 139 ( 133 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6772,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f7701,axiom,
! [X0] :
( v1_orders_2(k2_yellow_1(X0))
& v2_orders_2(k2_yellow_1(X0))
& v3_orders_2(k2_yellow_1(X0))
& v4_orders_2(k2_yellow_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_yellow_1) ).
fof(f7722,axiom,
! [X0] : k3_yellow_1(X0) = k2_yellow_1(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_yellow_1) ).
fof(f7753,axiom,
! [X0] :
( v1_orders_2(k2_yellow_1(X0))
& l1_orders_2(k2_yellow_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
fof(f7846,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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel_1) ).
fof(f8776,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(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)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_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))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel16) ).
fof(f8957,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/sandbox/benchmark/theBenchmark.p',fc1_waybel22) ).
fof(f8962,axiom,
! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel22) ).
fof(f8964,axiom,
! [X0] : k1_card_1(k1_waybel22(X0)) = k1_card_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_waybel22) ).
fof(f8974,axiom,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_waybel22) ).
fof(f8975,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/sandbox/benchmark/theBenchmark.p',t17_waybel22) ).
fof(f8976,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/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
fof(f8977,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)],[f8976]) ).
fof(f9048,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,[],[f8957]) ).
fof(f9049,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,[],[f9048]) ).
fof(f9075,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,[],[f8975]) ).
fof(f9076,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,[],[f9075]) ).
fof(f9077,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,[],[f8977]) ).
fof(f9078,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,[],[f9077]) ).
fof(f9164,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)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_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))) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8776]) ).
fof(f9165,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)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_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))) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f9164]) ).
fof(f9217,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f6772]) ).
fof(f9218,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f9217]) ).
fof(f12151,plain,
( ~ r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK27))))
& r1_waybel22(sK28,sK29)
& k1_card_1(sK27) = k1_card_1(sK29)
& v2_orders_2(sK28)
& v3_orders_2(sK28)
& v4_orders_2(sK28)
& v1_lattice3(sK28)
& v2_lattice3(sK28)
& v3_lattice3(sK28)
& v3_waybel_3(sK28)
& l1_orders_2(sK28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28,sK29]),skolemize(X0,sK27),skolemize(X1,sK28),skolemize(X2,sK29)],[f9078]) ).
fof(f13228,plain,
! [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(cnf_transformation,[],[f9049]) ).
fof(f13231,plain,
! [X0] :
( v1_lattice3(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(cnf_transformation,[],[f9049]) ).
fof(f13261,plain,
! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
inference(cnf_transformation,[],[f8962]) ).
fof(f13263,plain,
! [X0] : k1_card_1(X0) = k1_card_1(k1_waybel22(X0)),
inference(cnf_transformation,[],[f8964]) ).
fof(f13285,plain,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
inference(cnf_transformation,[],[f8974]) ).
fof(f13286,plain,
! [X2,X3,X0,X1] :
( ~ v3_waybel_3(X0)
| ~ 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)
| r5_waybel_1(X0,X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f9076]) ).
fof(f13287,plain,
l1_orders_2(sK28),
inference(cnf_transformation,[],[f12151]) ).
fof(f13288,plain,
v3_waybel_3(sK28),
inference(cnf_transformation,[],[f12151]) ).
fof(f13289,plain,
v3_lattice3(sK28),
inference(cnf_transformation,[],[f12151]) ).
fof(f13290,plain,
v2_lattice3(sK28),
inference(cnf_transformation,[],[f12151]) ).
fof(f13291,plain,
v1_lattice3(sK28),
inference(cnf_transformation,[],[f12151]) ).
fof(f13292,plain,
v4_orders_2(sK28),
inference(cnf_transformation,[],[f12151]) ).
fof(f13293,plain,
v3_orders_2(sK28),
inference(cnf_transformation,[],[f12151]) ).
fof(f13294,plain,
v2_orders_2(sK28),
inference(cnf_transformation,[],[f12151]) ).
fof(f13295,plain,
k1_card_1(sK27) = k1_card_1(sK29),
inference(cnf_transformation,[],[f12151]) ).
fof(f13296,plain,
r1_waybel22(sK28,sK29),
inference(cnf_transformation,[],[f12151]) ).
fof(f13297,plain,
~ r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK27)))),
inference(cnf_transformation,[],[f12151]) ).
fof(f13377,plain,
! [X0] : k3_yellow_1(X0) = k2_yellow_1(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f7722]) ).
fof(f13434,plain,
! [X0] :
( ~ v2_yellow_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f9165]) ).
fof(f13435,plain,
! [X0] :
( v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f9165]) ).
fof(f13534,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f9218]) ).
fof(f13708,plain,
! [X0] : l1_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f7753]) ).
fof(f13715,plain,
! [X0] : v4_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f7701]) ).
fof(f13716,plain,
! [X0] : v3_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f7701]) ).
fof(f13717,plain,
! [X0] : v2_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f7701]) ).
fof(f17637,plain,
! [X0] : v2_yellow_0(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f7846]) ).
fof(f17640,plain,
! [X0] : v2_lattice3(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f7846]) ).
fof(f17642,plain,
! [X0] : v4_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f7846]) ).
fof(f17643,plain,
! [X0] : v3_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f7846]) ).
fof(f17644,plain,
! [X0] : v2_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f7846]) ).
fof(f18092,plain,
! [X0] : k1_card_1(X0) = k1_card_1(a_1_0_waybel22(X0)),
inference(definition_unfolding,[],[f13263,f13261]) ).
fof(f18112,plain,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),a_1_0_waybel22(X0)),
inference(definition_unfolding,[],[f13285,f13377,f13261]) ).
fof(f18113,plain,
~ r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(sK27))))),
inference(definition_unfolding,[],[f13297,f13377]) ).
fof(f19284,plain,
! [X0] : v2_orders_2(k2_yellow_1(k1_zfmisc_1(X0))),
inference(definition_unfolding,[],[f17644,f13377]) ).
fof(f19285,plain,
! [X0] : v3_orders_2(k2_yellow_1(k1_zfmisc_1(X0))),
inference(definition_unfolding,[],[f17643,f13377]) ).
fof(f19286,plain,
! [X0] : v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0))),
inference(definition_unfolding,[],[f17642,f13377]) ).
fof(f19288,plain,
! [X0] : v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0))),
inference(definition_unfolding,[],[f17640,f13377]) ).
fof(f19291,plain,
! [X0] : v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X0))),
inference(definition_unfolding,[],[f17637,f13377]) ).
fof(f20047,plain,
! [X0] :
( ~ v2_yellow_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f13228,f13534]) ).
fof(f20048,plain,
! [X0] :
( v1_lattice3(k2_yellow_1(k9_waybel_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(forward_subsumption_resolution,[],[f13231,f13534]) ).
fof(f20108,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK28,X0)
| ~ r1_waybel22(X1,X2)
| k1_card_1(X0) != k1_card_1(X2)
| ~ 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(sK28)
| ~ v3_orders_2(sK28)
| ~ v4_orders_2(sK28)
| ~ v1_lattice3(sK28)
| ~ v2_lattice3(sK28)
| ~ v3_lattice3(sK28)
| r5_waybel_1(sK28,X1)
| ~ l1_orders_2(sK28) ),
inference(resolution,[],[f13286,f13288]) ).
fof(f20136,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK28,X0)
| ~ r1_waybel22(X1,X2)
| k1_card_1(X0) != k1_card_1(X2)
| ~ 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)
| ~ v3_orders_2(sK28)
| ~ v4_orders_2(sK28)
| ~ v1_lattice3(sK28)
| ~ v2_lattice3(sK28)
| ~ v3_lattice3(sK28)
| r5_waybel_1(sK28,X1)
| ~ l1_orders_2(sK28) ),
inference(forward_subsumption_resolution,[],[f20108,f13294]) ).
fof(f20137,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK28,X0)
| ~ r1_waybel22(X1,X2)
| k1_card_1(X0) != k1_card_1(X2)
| ~ 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)
| ~ v4_orders_2(sK28)
| ~ v1_lattice3(sK28)
| ~ v2_lattice3(sK28)
| ~ v3_lattice3(sK28)
| r5_waybel_1(sK28,X1)
| ~ l1_orders_2(sK28) ),
inference(forward_subsumption_resolution,[],[f20136,f13293]) ).
fof(f20138,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK28,X0)
| ~ r1_waybel22(X1,X2)
| k1_card_1(X0) != k1_card_1(X2)
| ~ 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)
| ~ v1_lattice3(sK28)
| ~ v2_lattice3(sK28)
| ~ v3_lattice3(sK28)
| r5_waybel_1(sK28,X1)
| ~ l1_orders_2(sK28) ),
inference(forward_subsumption_resolution,[],[f20137,f13292]) ).
fof(f20139,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK28,X0)
| ~ r1_waybel22(X1,X2)
| k1_card_1(X0) != k1_card_1(X2)
| ~ 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_lattice3(sK28)
| ~ v3_lattice3(sK28)
| r5_waybel_1(sK28,X1)
| ~ l1_orders_2(sK28) ),
inference(forward_subsumption_resolution,[],[f20138,f13291]) ).
fof(f20140,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK28,X0)
| ~ r1_waybel22(X1,X2)
| k1_card_1(X0) != k1_card_1(X2)
| ~ 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)
| ~ v3_lattice3(sK28)
| r5_waybel_1(sK28,X1)
| ~ l1_orders_2(sK28) ),
inference(forward_subsumption_resolution,[],[f20139,f13290]) ).
fof(f20141,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK28,X0)
| ~ r1_waybel22(X1,X2)
| k1_card_1(X0) != k1_card_1(X2)
| ~ 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)
| r5_waybel_1(sK28,X1)
| ~ l1_orders_2(sK28) ),
inference(forward_subsumption_resolution,[],[f20140,f13289]) ).
fof(f20142,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK28,X0)
| ~ r1_waybel22(X1,X2)
| k1_card_1(X0) != k1_card_1(X2)
| ~ 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)
| r5_waybel_1(sK28,X1) ),
inference(forward_subsumption_resolution,[],[f20141,f13287]) ).
fof(f20143,plain,
! [X0,X1] :
( ~ r1_waybel22(X0,X1)
| k1_card_1(X1) != k1_card_1(sK29)
| ~ 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)
| r5_waybel_1(sK28,X0) ),
inference(resolution,[],[f20142,f13296]) ).
fof(f20144,plain,
! [X0,X1] :
( ~ v3_waybel_3(X0)
| ~ r1_waybel22(X0,X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| k1_card_1(X1) != k1_card_1(sK27)
| ~ l1_orders_2(X0)
| r5_waybel_1(sK28,X0) ),
inference(forward_demodulation,[],[f20143,f13295]) ).
fof(f20287,plain,
! [X0] :
( ~ v2_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v3_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(resolution,[],[f19291,f13434]) ).
fof(f20288,plain,
! [X0] :
( ~ v2_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v3_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(resolution,[],[f19291,f20047]) ).
fof(f20289,plain,
! [X0] :
( ~ v3_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20288,f19284]) ).
fof(f20290,plain,
! [X0] :
( ~ v3_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20287,f19284]) ).
fof(f20292,plain,
! [X0] :
( ~ v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20289,f19285]) ).
fof(f20293,plain,
! [X0] :
( ~ v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20290,f19285]) ).
fof(f20295,plain,
! [X0] :
( v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20292,f19286]) ).
fof(f20296,plain,
! [X0] :
( ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20293,f19286]) ).
fof(f20298,plain,
! [X0] :
( v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20295,f19288]) ).
fof(f20299,plain,
! [X0] :
( v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20296,f19288]) ).
fof(f20301,plain,
! [X0] : v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))),
inference(forward_subsumption_resolution,[],[f20298,f13708]) ).
fof(f20302,plain,
! [X0] : v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))),
inference(forward_subsumption_resolution,[],[f20299,f13708]) ).
fof(f20308,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| k1_card_1(X1) != k1_card_1(sK27)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(resolution,[],[f20301,f20144]) ).
fof(f20311,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| k1_card_1(X1) != k1_card_1(sK27)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f20308,f13717]) ).
fof(f20313,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| k1_card_1(X1) != k1_card_1(sK27)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f20311,f13716]) ).
fof(f20315,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| k1_card_1(X1) != k1_card_1(sK27)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f20313,f13715]) ).
fof(f20317,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| k1_card_1(X1) != k1_card_1(sK27)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f20315,f20302]) ).
fof(f20319,plain,
! [X0,X1] :
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| k1_card_1(X1) != k1_card_1(sK27)
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f20317,f13708]) ).
fof(f20320,plain,
! [X0,X1] :
( ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| k1_card_1(X1) != k1_card_1(sK27)
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v3_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(resolution,[],[f20319,f13435]) ).
fof(f20321,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| k1_card_1(X1) != k1_card_1(sK27)
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v3_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20320,f20048]) ).
fof(f20322,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| k1_card_1(X1) != k1_card_1(sK27)
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v3_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20321,f19284]) ).
fof(f20323,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| k1_card_1(X1) != k1_card_1(sK27)
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20322,f19285]) ).
fof(f20324,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| k1_card_1(X1) != k1_card_1(sK27)
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20323,f19286]) ).
fof(f20325,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| k1_card_1(X1) != k1_card_1(sK27)
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20324,f19288]) ).
fof(f20326,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| k1_card_1(X1) != k1_card_1(sK27)
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ l1_orders_2(k2_yellow_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[],[f20325,f19291]) ).
fof(f20327,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| k1_card_1(X1) != k1_card_1(sK27)
| r5_waybel_1(sK28,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f20326,f13708]) ).
fof(f20328,plain,
$false,
inference(unit_resulting_resolution,[],[f20327,f18092,f18112,f18113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT351+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.33 % Computer : n012.cluster.edu
% 0.04/0.33 % Model : x86_64 x86_64
% 0.04/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.33 % Memory : 8046.5625MB
% 0.04/0.33 % OS : Linux 6.8.0-71-generic
% 0.04/0.33 % CPULimit : 300
% 0.04/0.33 % WCLimit : 300
% 0.04/0.33 % DateTime : Sun Sep 27 14:55:22 UTC 2026
% 0.04/0.33 % CPUTime :
% 0.04/0.33 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.35 Running first-order theorem proving
% 0.04/0.35 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
% 6.61/2.01 % (2460148)Detected formulas, will run a generic FOF schedule.
% 6.61/2.01 % (2460153)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=3047596800:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 6.61/2.01 % (2460156)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3475232032:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 6.61/2.01 % (2460154)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=1095070302:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 6.61/2.01 % (2460158)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=893862071:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 6.61/2.01 % (2460157)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3676252739:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 6.61/2.01 % (2460159)dis-21_1_sil=8000:lcm=predicate:random_seed=134887608:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 6.61/2.01 % (2460155)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=4041828547:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 6.61/2.01 % (2460158)Instruction limit reached!
% 6.61/2.01 % (2460158)------------------------------
% 6.61/2.01 % (2460158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.01 % (2460158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.01 % (2460158)CaDiCaL version: 2.1.3
% 6.61/2.01 % (2460158)Termination reason: Instruction limit
% 6.61/2.01 % (2460158)Termination phase: SInE selection
% 6.61/2.01 % (2460158)Time elapsed: 0.037 s
% 6.61/2.01 % (2460158)Peak memory usage: 96 MB
% 6.61/2.01 % (2460158)Instructions burned: 139 (million)
% 6.61/2.01 % (2460156)Instruction limit reached!
% 6.61/2.01 % (2460156)------------------------------
% 6.61/2.01 % (2460156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.01 % (2460156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.01 % (2460156)CaDiCaL version: 2.1.3
% 6.61/2.01 % (2460156)Termination reason: Instruction limit
% 6.61/2.01 % (2460156)Termination phase: Saturation
% 6.61/2.01 % (2460156)Time elapsed: 0.042 s
% 6.61/2.01 % (2460156)Peak memory usage: 100 MB
% 6.61/2.01 % (2460156)Instructions burned: 111 (million)
% 6.61/2.01 % (2460157)Instruction limit reached!
% 6.61/2.01 % (2460157)------------------------------
% 6.61/2.01 % (2460157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.01 % (2460157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.01 % (2460157)CaDiCaL version: 2.1.3
% 6.61/2.01 % (2460157)Termination reason: Instruction limit
% 6.61/2.01 % (2460157)Termination phase: Property scanning
% 6.61/2.01 % (2460157)Time elapsed: 0.054 s
% 6.61/2.01 % (2460157)Peak memory usage: 100 MB
% 6.61/2.01 % (2460157)Instructions burned: 123 (million)
% 6.61/2.01 % (2460159)Instruction limit reached!
% 6.61/2.01 % (2460159)------------------------------
% 6.61/2.01 % (2460159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.01 % (2460159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.01 % (2460159)CaDiCaL version: 2.1.3
% 6.61/2.01 % (2460159)Termination reason: Instruction limit
% 6.61/2.01 % (2460159)Termination phase: Unused predicate definition removal
% 6.61/2.01 % (2460159)Time elapsed: 0.059 s
% 6.61/2.01 % (2460159)Peak memory usage: 97 MB
% 6.61/2.01 % (2460159)Instructions burned: 129 (million)
% 6.61/2.01 % (2460167)lrs+10_1_sil=8000:sp=occurrence:random_seed=1770729736:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 6.61/2.01 % (2460168)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3820327517:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 6.61/2.01 % (2460169)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3203483495:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.61/2.01 % (2460170)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=3506657903:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.13/2.20 % (2460168)Instruction limit reached!
% 6.13/2.20 % (2460168)------------------------------
% 6.13/2.20 % (2460168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460168)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460168)Termination reason: Instruction limit
% 6.13/2.20 % (2460168)Termination phase: Naming
% 6.13/2.20 % (2460168)Time elapsed: 0.048 s
% 6.13/2.20 % (2460168)Peak memory usage: 97 MB
% 6.13/2.20 % (2460168)Instructions burned: 157 (million)
% 6.13/2.20 % (2460170)Instruction limit reached!
% 6.13/2.20 % (2460170)------------------------------
% 6.13/2.20 % (2460170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460170)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460170)Termination reason: Instruction limit
% 6.13/2.20 % (2460170)Termination phase: Unused predicate definition removal
% 6.13/2.20 % (2460170)Time elapsed: 0.082 s
% 6.13/2.20 % (2460170)Peak memory usage: 98 MB
% 6.13/2.20 % (2460170)Instructions burned: 248 (million)
% 6.13/2.20 % (2460167)Instruction limit reached!
% 6.13/2.20 % (2460167)------------------------------
% 6.13/2.20 % (2460167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460167)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460167)Termination reason: Instruction limit
% 6.13/2.20 % (2460167)Termination phase: Saturation
% 6.13/2.20 % (2460167)Time elapsed: 0.095 s
% 6.13/2.20 % (2460167)Peak memory usage: 104 MB
% 6.13/2.20 % (2460167)Instructions burned: 285 (million)
% 6.13/2.20 % (2460169)Instruction limit reached!
% 6.13/2.20 % (2460169)------------------------------
% 6.13/2.20 % (2460169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460169)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460169)Termination reason: Instruction limit
% 6.13/2.20 % (2460169)Termination phase: Saturation
% 6.13/2.20 % (2460169)Time elapsed: 0.101 s
% 6.13/2.20 % (2460169)Peak memory usage: 101 MB
% 6.13/2.20 % (2460169)Instructions burned: 326 (million)
% 6.13/2.20 % (2460175)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3803069320:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.13/2.20 % (2460176)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4204533017:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.13/2.20 % (2460177)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2052292965:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.13/2.20 % (2460178)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2159171784:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.13/2.20 % (2460175)Instruction limit reached!
% 6.13/2.20 % (2460175)------------------------------
% 6.13/2.20 % (2460175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460175)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460175)Termination reason: Instruction limit
% 6.13/2.20 % (2460175)Termination phase: Saturation
% 6.13/2.20 % (2460175)Time elapsed: 0.106 s
% 6.13/2.20 % (2460175)Peak memory usage: 104 MB
% 6.13/2.20 % (2460175)Instructions burned: 296 (million)
% 6.13/2.20 % (2460177)Instruction limit reached!
% 6.13/2.20 % (2460177)------------------------------
% 6.13/2.20 % (2460177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460177)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460177)Termination reason: Instruction limit
% 6.13/2.20 % (2460177)Termination phase: Preprocessing 3
% 6.13/2.20 % (2460177)Time elapsed: 0.056 s
% 6.13/2.20 % (2460177)Peak memory usage: 100 MB
% 6.13/2.20 % (2460177)Instructions burned: 114 (million)
% 6.13/2.20 % (2460178)Instruction limit reached!
% 6.13/2.20 % (2460178)------------------------------
% 6.13/2.20 % (2460178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460178)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460178)Termination reason: Instruction limit
% 6.13/2.20 % (2460178)Termination phase: Naming
% 6.13/2.20 % (2460178)Time elapsed: 0.065 s
% 6.13/2.20 % (2460178)Peak memory usage: 105 MB
% 6.13/2.20 % (2460178)Instructions burned: 128 (million)
% 6.13/2.20 % (2460184)lrs+10_1_sil=8000:sp=occurrence:random_seed=3743491037:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.13/2.20 % (2460183)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=655046194:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.13/2.20 % (2460185)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2764711794:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.13/2.20 % (2460183)Instruction limit reached!
% 6.13/2.20 % (2460183)------------------------------
% 6.13/2.20 % (2460183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460183)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460183)Termination reason: Instruction limit
% 6.13/2.20 % (2460183)Termination phase: Initialization
% 6.13/2.20 % (2460183)Time elapsed: 0.028 s
% 6.13/2.20 % (2460183)Peak memory usage: 96 MB
% 6.13/2.20 % (2460183)Instructions burned: 117 (million)
% 6.13/2.20 % (2460189)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1911577113:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.13/2.20 % (2460185)Instruction limit reached!
% 6.13/2.20 % (2460185)------------------------------
% 6.13/2.20 % (2460185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460185)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460185)Termination reason: Instruction limit
% 6.13/2.20 % (2460185)Termination phase: Saturation
% 6.13/2.20 % (2460185)Time elapsed: 0.155 s
% 6.13/2.20 % (2460185)Peak memory usage: 104 MB
% 6.13/2.20 % (2460185)Instructions burned: 439 (million)
% 6.13/2.20 % (2460191)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=312542519:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.13/2.20 % (2460184)Instruction limit reached!
% 6.13/2.20 % (2460184)------------------------------
% 6.13/2.20 % (2460184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460184)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460184)Termination reason: Instruction limit
% 6.13/2.20 % (2460184)Termination phase: Saturation
% 6.13/2.20 % (2460184)Time elapsed: 0.290 s
% 6.13/2.20 % (2460184)Peak memory usage: 115 MB
% 6.13/2.20 % (2460184)Instructions burned: 910 (million)
% 6.13/2.20 % (2460191)Instruction limit reached!
% 6.13/2.20 % (2460191)------------------------------
% 6.13/2.20 % (2460191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460191)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460191)Termination reason: Instruction limit
% 6.13/2.20 % (2460191)Termination phase: Function definition elimination
% 6.13/2.20 % (2460191)Time elapsed: 0.056 s
% 6.13/2.20 % (2460191)Peak memory usage: 100 MB
% 6.13/2.20 % (2460191)Instructions burned: 135 (million)
% 6.13/2.20 % (2460193)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3890166710:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 6.13/2.20 % (2460194)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2157979703:st=3:i=13193:sd=3:ss=axioms_2989 on theBenchmark for (2989ds/13193Mi)
% 6.13/2.20 % (2460193)Instruction limit reached!
% 6.13/2.20 % (2460193)------------------------------
% 6.13/2.20 % (2460193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460193)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460193)Termination reason: Instruction limit
% 6.13/2.20 % (2460193)Termination phase: Property scanning
% 6.13/2.20 % (2460193)Time elapsed: 0.220 s
% 6.13/2.20 % (2460193)Peak memory usage: 113 MB
% 6.13/2.20 % (2460193)Instructions burned: 595 (million)
% 6.13/2.20 % (2460154)First to succeed.
% 6.13/2.20 % (2460154)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2460148"
% 6.13/2.20 % (2460197)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=864762723:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 6.13/2.20 % (2460197)Instruction limit reached!
% 6.13/2.20 % (2460197)------------------------------
% 6.13/2.20 % (2460197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460197)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460197)Termination reason: Instruction limit
% 6.13/2.20 % (2460197)Termination phase: SInE selection
% 6.13/2.20 % (2460197)Time elapsed: 0.035 s
% 6.13/2.20 % (2460197)Peak memory usage: 96 MB
% 6.13/2.20 % (2460197)Instructions burned: 127 (million)
% 6.13/2.20 % (2460176)Instruction limit reached!
% 6.13/2.20 % (2460176)------------------------------
% 6.13/2.20 % (2460176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.20 % (2460176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.20 % (2460176)CaDiCaL version: 2.1.3
% 6.13/2.20 % (2460176)Termination reason: Instruction limit
% 6.13/2.20 % (2460176)Termination phase: Saturation
% 6.13/2.20 % (2460176)Time elapsed: 0.956 s
% 6.13/2.20 % (2460176)Peak memory usage: 268 MB
% 6.13/2.20 % (2460176)Instructions burned: 2352 (million)
% 6.13/2.20 % (2460199)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2028374806:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 6.13/2.20 % (2460154)Refutation found. Thanks to Tanya!
% 6.13/2.20 % SZS status Theorem for theBenchmark
% 6.13/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/2.30 % (2460154)------------------------------
% 0.07/2.30 % (2460154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.07/2.30 % (2460154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/2.30 % (2460154)CaDiCaL version: 2.1.3
% 0.07/2.30 % (2460154)Termination reason: Refutation
% 0.07/2.30 % (2460154)Time elapsed: 1.175 s
% 0.07/2.30 % (2460154)Peak memory usage: 213 MB
% 0.07/2.30 % (2460154)Instructions burned: 3408 (million)
% 0.07/2.30 % (2460154)------------------------------
% 0.07/2.30 % (2460154)------------------------------
% 0.07/2.30 % (2460148)Success in time 1.656 s
% 0.07/2.30 % Vampire exiting
%------------------------------------------------------------------------------