%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT351+4 : 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 : n008.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 27.47s 8.69s
% Output : Refutation 36.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 110 ( 42 unt; 0 def)
% Number of atoms : 641 ( 35 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 906 ( 375 ~; 357 |; 161 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-1 aty)
% Number of variables : 142 ( 136 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28605,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f28633,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ( v3_lattice3(X0)
=> ( v1_lattice3(X0)
& v2_lattice3(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_lattice3) ).
fof(f40066,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(f40087,axiom,
! [X0] : k3_yellow_1(X0) = k2_yellow_1(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_yellow_1) ).
fof(f40118,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(f41138,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_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v7_waybel_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& ~ v1_yellow_3(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_yellow_6) ).
fof(f44122,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(f45784,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(f45789,axiom,
! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel22) ).
fof(f45791,axiom,
! [X0] : k1_card_1(k1_waybel22(X0)) = k1_card_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_waybel22) ).
fof(f45801,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(f45802,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(f45803,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(f45804,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)],[f45803]) ).
fof(f45914,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,[],[f45784]) ).
fof(f45915,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,[],[f45914]) ).
fof(f45941,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,[],[f45802]) ).
fof(f45942,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,[],[f45941]) ).
fof(f45943,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,[],[f45804]) ).
fof(f45944,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,[],[f45943]) ).
fof(f46053,plain,
! [X0] :
( ( v1_lattice3(X0)
& v2_lattice3(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28633]) ).
fof(f46054,plain,
! [X0] :
( ( v1_lattice3(X0)
& v2_lattice3(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f46053]) ).
fof(f46067,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,[],[f44122]) ).
fof(f46068,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,[],[f46067]) ).
fof(f46126,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28605]) ).
fof(f46127,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f46126]) ).
fof(f52224,plain,
( ~ r5_waybel_1(sK42,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK41))))
& r1_waybel22(sK42,sK43)
& k1_card_1(sK41) = k1_card_1(sK43)
& v2_orders_2(sK42)
& v3_orders_2(sK42)
& v4_orders_2(sK42)
& v1_lattice3(sK42)
& v2_lattice3(sK42)
& v3_lattice3(sK42)
& v3_waybel_3(sK42)
& l1_orders_2(sK42) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41,sK42,sK43]),skolemize(X0,sK41),skolemize(X1,sK42),skolemize(X2,sK43)],[f45944]) ).
fof(f54138,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,[],[f45915]) ).
fof(f54171,plain,
! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
inference(cnf_transformation,[],[f45789]) ).
fof(f54173,plain,
! [X0] : k1_card_1(X0) = k1_card_1(k1_waybel22(X0)),
inference(cnf_transformation,[],[f45791]) ).
fof(f54195,plain,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
inference(cnf_transformation,[],[f45801]) ).
fof(f54196,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,[],[f45942]) ).
fof(f54197,plain,
l1_orders_2(sK42),
inference(cnf_transformation,[],[f52224]) ).
fof(f54198,plain,
v3_waybel_3(sK42),
inference(cnf_transformation,[],[f52224]) ).
fof(f54199,plain,
v3_lattice3(sK42),
inference(cnf_transformation,[],[f52224]) ).
fof(f54200,plain,
v2_lattice3(sK42),
inference(cnf_transformation,[],[f52224]) ).
fof(f54201,plain,
v1_lattice3(sK42),
inference(cnf_transformation,[],[f52224]) ).
fof(f54202,plain,
v4_orders_2(sK42),
inference(cnf_transformation,[],[f52224]) ).
fof(f54203,plain,
v3_orders_2(sK42),
inference(cnf_transformation,[],[f52224]) ).
fof(f54204,plain,
v2_orders_2(sK42),
inference(cnf_transformation,[],[f52224]) ).
fof(f54205,plain,
k1_card_1(sK41) = k1_card_1(sK43),
inference(cnf_transformation,[],[f52224]) ).
fof(f54206,plain,
r1_waybel22(sK42,sK43),
inference(cnf_transformation,[],[f52224]) ).
fof(f54207,plain,
~ r5_waybel_1(sK42,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK41)))),
inference(cnf_transformation,[],[f52224]) ).
fof(f54339,plain,
! [X0] : k3_yellow_1(X0) = k2_yellow_1(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f40087]) ).
fof(f54405,plain,
! [X0] :
( ~ v3_lattice3(X0)
| v2_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f46054]) ).
fof(f54406,plain,
! [X0] :
( ~ v3_lattice3(X0)
| v1_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f46054]) ).
fof(f54425,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,[],[f46068]) ).
fof(f54431,plain,
! [X0] :
( ~ v2_yellow_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f46068]) ).
fof(f54433,plain,
! [X0] : l1_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f40118]) ).
fof(f54447,plain,
! [X0] : v4_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f40066]) ).
fof(f54448,plain,
! [X0] : v3_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f40066]) ).
fof(f54449,plain,
! [X0] : v2_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f40066]) ).
fof(f54529,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f46127]) ).
fof(f60689,plain,
! [X0] : v2_lattice3(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f41138]) ).
fof(f60696,plain,
! [X0] : v2_yellow_0(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f41138]) ).
fof(f60698,plain,
! [X0] : v4_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f41138]) ).
fof(f60699,plain,
! [X0] : v3_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f41138]) ).
fof(f60700,plain,
! [X0] : v2_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f41138]) ).
fof(f63227,plain,
! [X0] : k1_card_1(X0) = k1_card_1(a_1_0_waybel22(X0)),
inference(definition_unfolding,[],[f54173,f54171]) ).
fof(f63247,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,[],[f54195,f54339,f54171]) ).
fof(f63248,plain,
~ r5_waybel_1(sK42,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(sK41))))),
inference(definition_unfolding,[],[f54207,f54339]) ).
fof(f64510,plain,
! [X0] : v2_orders_2(k2_yellow_1(k1_zfmisc_1(X0))),
inference(definition_unfolding,[],[f60700,f54339]) ).
fof(f64511,plain,
! [X0] : v3_orders_2(k2_yellow_1(k1_zfmisc_1(X0))),
inference(definition_unfolding,[],[f60699,f54339]) ).
fof(f64512,plain,
! [X0] : v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0))),
inference(definition_unfolding,[],[f60698,f54339]) ).
fof(f64514,plain,
! [X0] : v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X0))),
inference(definition_unfolding,[],[f60696,f54339]) ).
fof(f64521,plain,
! [X0] : v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0))),
inference(definition_unfolding,[],[f60689,f54339]) ).
fof(f66148,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,[],[f54138,f54529]) ).
fof(f66399,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK42,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(sK42)
| ~ v3_orders_2(sK42)
| ~ v4_orders_2(sK42)
| ~ v1_lattice3(sK42)
| ~ v2_lattice3(sK42)
| ~ v3_lattice3(sK42)
| r5_waybel_1(sK42,X1)
| ~ l1_orders_2(sK42) ),
inference(resolution,[],[f54196,f54198]) ).
fof(f66452,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK42,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(sK42)
| ~ v4_orders_2(sK42)
| ~ v1_lattice3(sK42)
| ~ v2_lattice3(sK42)
| ~ v3_lattice3(sK42)
| r5_waybel_1(sK42,X1)
| ~ l1_orders_2(sK42) ),
inference(forward_subsumption_resolution,[],[f66399,f54204]) ).
fof(f66500,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK42,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(sK42)
| ~ v1_lattice3(sK42)
| ~ v2_lattice3(sK42)
| ~ v3_lattice3(sK42)
| r5_waybel_1(sK42,X1)
| ~ l1_orders_2(sK42) ),
inference(forward_subsumption_resolution,[],[f66452,f54203]) ).
fof(f66509,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK42,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(sK42)
| ~ v2_lattice3(sK42)
| ~ v3_lattice3(sK42)
| r5_waybel_1(sK42,X1)
| ~ l1_orders_2(sK42) ),
inference(forward_subsumption_resolution,[],[f66500,f54202]) ).
fof(f66519,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK42,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(sK42)
| ~ v3_lattice3(sK42)
| r5_waybel_1(sK42,X1)
| ~ l1_orders_2(sK42) ),
inference(forward_subsumption_resolution,[],[f66509,f54201]) ).
fof(f66522,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK42,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(sK42)
| r5_waybel_1(sK42,X1)
| ~ l1_orders_2(sK42) ),
inference(forward_subsumption_resolution,[],[f66519,f54200]) ).
fof(f66523,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK42,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(sK42,X1)
| ~ l1_orders_2(sK42) ),
inference(forward_subsumption_resolution,[],[f66522,f54199]) ).
fof(f66524,plain,
! [X2,X0,X1] :
( ~ r1_waybel22(sK42,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(sK42,X1) ),
inference(forward_subsumption_resolution,[],[f66523,f54197]) ).
fof(f66545,plain,
! [X0,X1] :
( ~ r1_waybel22(X0,X1)
| k1_card_1(X1) != k1_card_1(sK43)
| ~ 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(sK42,X0) ),
inference(resolution,[],[f66524,f54206]) ).
fof(f66546,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(sK41)
| ~ l1_orders_2(X0)
| r5_waybel_1(sK42,X0) ),
inference(forward_demodulation,[],[f66545,f54205]) ).
fof(f67521,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_struct_0(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,[],[f64514,f54431]) ).
fof(f67523,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,[],[f64514,f54425]) ).
fof(f67524,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,[],[f64514,f66148]) ).
fof(f67525,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,[],[f67524,f64510]) ).
fof(f67526,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,[],[f67523,f64510]) ).
fof(f67528,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_struct_0(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,[],[f67521,f64510]) ).
fof(f67529,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,[],[f67525,f64511]) ).
fof(f67530,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,[],[f67526,f64511]) ).
fof(f67532,plain,
! [X0] :
( ~ v4_orders_2(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v3_struct_0(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,[],[f67528,f64511]) ).
fof(f67533,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,[],[f67529,f64512]) ).
fof(f67534,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,[],[f67530,f64512]) ).
fof(f67536,plain,
! [X0] :
( ~ v2_lattice3(k2_yellow_1(k1_zfmisc_1(X0)))
| ~ v3_struct_0(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,[],[f67532,f64512]) ).
fof(f67537,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,[],[f67533,f64521]) ).
fof(f67538,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,[],[f67534,f64521]) ).
fof(f67540,plain,
! [X0] :
( ~ v3_struct_0(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,[],[f67536,f64521]) ).
fof(f67541,plain,
! [X0] : v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))),
inference(forward_subsumption_resolution,[],[f67537,f54433]) ).
fof(f67542,plain,
! [X0] : v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))),
inference(forward_subsumption_resolution,[],[f67538,f54433]) ).
fof(f67544,plain,
! [X0] : ~ v3_struct_0(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))),
inference(forward_subsumption_resolution,[],[f67540,f54433]) ).
fof(f67545,plain,
! [X0] :
( v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| v3_struct_0(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(resolution,[],[f67542,f54405]) ).
fof(f67546,plain,
! [X0] :
( v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| v3_struct_0(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(resolution,[],[f67542,f54406]) ).
fof(f67547,plain,
! [X0] :
( v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f67546,f67544]) ).
fof(f67548,plain,
! [X0] :
( v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f67545,f67544]) ).
fof(f67549,plain,
! [X0] : v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))),
inference(forward_subsumption_resolution,[],[f67547,f54433]) ).
fof(f67550,plain,
! [X0] : v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))),
inference(forward_subsumption_resolution,[],[f67548,f54433]) ).
fof(f67554,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(sK41)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| r5_waybel_1(sK42,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(resolution,[],[f67541,f66546]) ).
fof(f67557,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(sK41)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| r5_waybel_1(sK42,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f67554,f54449]) ).
fof(f67562,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(sK41)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| r5_waybel_1(sK42,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f67557,f54448]) ).
fof(f67567,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(sK41)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| r5_waybel_1(sK42,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f67562,f54447]) ).
fof(f67570,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| ~ 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(sK41)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| r5_waybel_1(sK42,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f67567,f67549]) ).
fof(f67573,plain,
! [X0,X1] :
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))),X1)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| k1_card_1(X1) != k1_card_1(sK41)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| r5_waybel_1(sK42,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f67570,f67550]) ).
fof(f67576,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(sK41)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0)))))
| r5_waybel_1(sK42,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f67573,f67542]) ).
fof(f67579,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(sK41)
| r5_waybel_1(sK42,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X0))))) ),
inference(forward_subsumption_resolution,[],[f67576,f54433]) ).
fof(f67581,plain,
$false,
inference(unit_resulting_resolution,[],[f67579,f63227,f63247,f63248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT351+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 % Computer : n008.cluster.edu
% 0.11/0.43 % Model : x86_64 x86_64
% 0.11/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.43 % Memory : 8046.5625MB
% 0.11/0.43 % OS : Linux 6.8.0-71-generic
% 0.11/0.43 % CPULimit : 300
% 0.11/0.43 % WCLimit : 300
% 0.11/0.43 % DateTime : Sun Sep 27 14:56:44 UTC 2026
% 0.11/0.43 % CPUTime :
% 0.11/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.46 Running first-order theorem proving
% 0.14/0.46 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
% 20.56/6.53 % (1321084)Detected formulas, will run a generic FOF schedule.
% 20.56/6.53 % (1321089)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=5999220:i=141193_2968 on theBenchmark for (2968ds/141193Mi)
% 20.56/6.53 % (1321090)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=3460782340:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2968 on theBenchmark for (2968ds/134677Mi)
% 20.56/6.53 % (1321093)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3115786444:i=119:av=off:ss=axioms_2968 on theBenchmark for (2968ds/119Mi)
% 20.56/6.53 % (1321092)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2294963176:i=109:sd=1:ins=1:gsp=on:ss=axioms_2968 on theBenchmark for (2968ds/109Mi)
% 20.56/6.53 % (1321091)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=2332360247:i=141695:sd=1:nm=32:gsp=on:ss=included_2968 on theBenchmark for (2968ds/141695Mi)
% 20.56/6.53 % (1321094)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2016567145:s2a=on:i=139:gtg=position_2968 on theBenchmark for (2968ds/139Mi)
% 20.56/6.53 % (1321095)dis-21_1_sil=8000:lcm=predicate:random_seed=440256414:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2968 on theBenchmark for (2968ds/129Mi)
% 20.56/6.53 % (1321092)Instruction limit reached!
% 20.56/6.53 % (1321092)------------------------------
% 20.56/6.53 % (1321092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.56/6.53 % (1321092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.56/6.53 % (1321092)CaDiCaL version: 2.1.3
% 20.56/6.53 % (1321092)Termination reason: Instruction limit
% 20.56/6.53 % (1321092)Termination phase: SInE selection
% 20.56/6.53 % (1321092)Time elapsed: 0.081 s
% 20.56/6.53 % (1321092)Peak memory usage: 153 MB
% 20.56/6.53 % (1321092)Instructions burned: 110 (million)
% 20.56/6.53 % (1321094)Instruction limit reached!
% 20.56/6.53 % (1321094)------------------------------
% 20.56/6.53 % (1321094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.56/6.53 % (1321094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.56/6.53 % (1321094)CaDiCaL version: 2.1.3
% 20.56/6.53 % (1321094)Termination reason: Instruction limit
% 20.56/6.53 % (1321094)Termination phase: Property scanning
% 20.56/6.53 % (1321094)Time elapsed: 0.064 s
% 20.56/6.53 % (1321094)Peak memory usage: 154 MB
% 20.56/6.53 % (1321094)Instructions burned: 140 (million)
% 20.56/6.53 % (1321093)Instruction limit reached!
% 20.56/6.53 % (1321093)------------------------------
% 20.56/6.53 % (1321093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.56/6.53 % (1321093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.56/6.53 % (1321093)CaDiCaL version: 2.1.3
% 20.56/6.53 % (1321093)Termination reason: Instruction limit
% 20.56/6.53 % (1321093)Termination phase: SInE selection
% 20.56/6.53 % (1321093)Time elapsed: 0.089 s
% 20.56/6.53 % (1321093)Peak memory usage: 153 MB
% 20.56/6.53 % (1321093)Instructions burned: 120 (million)
% 20.56/6.53 % (1321095)Instruction limit reached!
% 20.56/6.53 % (1321095)------------------------------
% 20.56/6.53 % (1321095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.56/6.53 % (1321095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.56/6.53 % (1321095)CaDiCaL version: 2.1.3
% 20.56/6.53 % (1321095)Termination reason: Instruction limit
% 20.56/6.53 % (1321095)Termination phase: SInE selection
% 20.56/6.53 % (1321095)Time elapsed: 0.103 s
% 20.56/6.53 % (1321095)Peak memory usage: 153 MB
% 20.56/6.53 % (1321095)Instructions burned: 130 (million)
% 20.56/6.53 % (1321103)lrs+10_1_sil=8000:sp=occurrence:random_seed=1620000817:i=285:sd=3:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/285Mi)
% 20.56/6.53 % (1321104)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3049450275:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/157Mi)
% 20.56/6.53 % (1321105)lrs+1011_1_sil=32000:sp=occurrence:random_seed=252162792:i=325:sd=1:ss=axioms:sgt=32_2965 on theBenchmark for (2965ds/325Mi)
% 20.56/6.53 % (1321106)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=1800984381:s2a=on:i=248:s2at=1.23:gtg=position_2965 on theBenchmark for (2965ds/248Mi)
% 20.56/6.53 % (1321104)Instruction limit reached!
% 28.12/7.61 % (1321104)------------------------------
% 28.12/7.61 % (1321104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.12/7.61 % (1321104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.12/7.61 % (1321104)CaDiCaL version: 2.1.3
% 28.12/7.61 % (1321104)Termination reason: Instruction limit
% 28.12/7.61 % (1321104)Termination phase: Property scanning
% 28.12/7.61 % (1321104)Time elapsed: 0.071 s
% 28.12/7.61 % (1321104)Peak memory usage: 154 MB
% 28.12/7.61 % (1321104)Instructions burned: 158 (million)
% 28.12/7.61 % (1321106)Instruction limit reached!
% 28.12/7.61 % (1321106)------------------------------
% 28.12/7.61 % (1321106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.12/7.61 % (1321106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.12/7.61 % (1321106)CaDiCaL version: 2.1.3
% 28.12/7.61 % (1321106)Termination reason: Instruction limit
% 28.12/7.61 % (1321106)Termination phase: Property scanning
% 28.12/7.61 % (1321106)Time elapsed: 0.111 s
% 28.12/7.61 % (1321106)Peak memory usage: 154 MB
% 28.12/7.61 % (1321106)Instructions burned: 249 (million)
% 28.12/7.61 % (1321103)Instruction limit reached!
% 28.12/7.61 % (1321103)------------------------------
% 28.12/7.61 % (1321103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.12/7.61 % (1321103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.12/7.61 % (1321103)CaDiCaL version: 2.1.3
% 28.12/7.61 % (1321103)Termination reason: Instruction limit
% 28.12/7.61 % (1321103)Termination phase: SInE selection
% 28.12/7.61 % (1321103)Time elapsed: 0.210 s
% 28.12/7.61 % (1321103)Peak memory usage: 154 MB
% 28.12/7.61 % (1321103)Instructions burned: 286 (million)
% 28.12/7.61 % (1321111)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1129073599:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2963 on theBenchmark for (2963ds/294Mi)
% 28.12/7.61 % (1321105)Instruction limit reached!
% 28.12/7.61 % (1321105)------------------------------
% 28.12/7.61 % (1321105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.12/7.61 % (1321105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.12/7.61 % (1321105)CaDiCaL version: 2.1.3
% 28.12/7.61 % (1321105)Termination reason: Instruction limit
% 28.12/7.61 % (1321105)Termination phase: SInE selection
% 28.12/7.61 % (1321105)Time elapsed: 0.233 s
% 28.12/7.61 % (1321105)Peak memory usage: 155 MB
% 28.12/7.61 % (1321105)Instructions burned: 325 (million)
% 28.12/7.61 % (1321112)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3888643502:i=2350_2962 on theBenchmark for (2962ds/2350Mi)
% 28.12/7.61 % (1321113)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=663214797:cts=off:i=113:fsr=off:ss=included:sgt=4_2962 on theBenchmark for (2962ds/113Mi)
% 28.12/7.61 % (1321115)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1322885093:i=127:av=off:fsr=off:sup=off_2961 on theBenchmark for (2961ds/127Mi)
% 28.12/7.61 % (1321111)Instruction limit reached!
% 28.12/7.61 % (1321111)------------------------------
% 28.12/7.61 % (1321111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.12/7.61 % (1321111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.12/7.61 % (1321111)CaDiCaL version: 2.1.3
% 28.12/7.61 % (1321111)Termination reason: Instruction limit
% 28.12/7.61 % (1321111)Termination phase: SInE selection
% 28.12/7.61 % (1321111)Time elapsed: 0.195 s
% 28.12/7.61 % (1321111)Peak memory usage: 154 MB
% 28.12/7.61 % (1321111)Instructions burned: 294 (million)
% 28.12/7.61 % (1321113)Instruction limit reached!
% 28.12/7.61 % (1321113)------------------------------
% 28.12/7.61 % (1321113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.12/7.61 % (1321113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.12/7.61 % (1321113)CaDiCaL version: 2.1.3
% 28.12/7.61 % (1321113)Termination reason: Instruction limit
% 28.12/7.61 % (1321113)Termination phase: SInE selection
% 28.12/7.61 % (1321113)Time elapsed: 0.087 s
% 28.12/7.61 % (1321113)Peak memory usage: 154 MB
% 28.12/7.61 % (1321113)Instructions burned: 114 (million)
% 28.12/7.61 % (1321115)Instruction limit reached!
% 28.12/7.61 % (1321115)------------------------------
% 28.12/7.61 % (1321115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.12/7.61 % (1321115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.12/7.61 % (1321115)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321115)Termination reason: Instruction limit
% 27.47/8.69 % (1321115)Termination phase: Preprocessing 1
% 27.47/8.69 % (1321115)Time elapsed: 0.096 s
% 27.47/8.69 % (1321115)Peak memory usage: 155 MB
% 27.47/8.69 % (1321115)Instructions burned: 128 (million)
% 27.47/8.69 % (1321119)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=203206530:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2959 on theBenchmark for (2959ds/114Mi)
% 27.47/8.69 % (1321120)lrs+10_1_sil=8000:sp=occurrence:random_seed=3656674965:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2959 on theBenchmark for (2959ds/907Mi)
% 27.47/8.69 % (1321119)Instruction limit reached!
% 27.47/8.69 % (1321119)------------------------------
% 27.47/8.69 % (1321119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/8.69 % (1321119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/8.69 % (1321119)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321119)Termination reason: Instruction limit
% 27.47/8.69 % (1321119)Termination phase: Property scanning
% 27.47/8.69 % (1321119)Time elapsed: 0.053 s
% 27.47/8.69 % (1321119)Peak memory usage: 154 MB
% 27.47/8.69 % (1321119)Instructions burned: 114 (million)
% 27.47/8.69 % (1321121)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4245706337:i=437:sd=1:aac=none:ss=included_2959 on theBenchmark for (2959ds/437Mi)
% 27.47/8.69 % (1321124)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1995365925:i=5202:ss=axioms:sgt=16_2957 on theBenchmark for (2957ds/5202Mi)
% 27.47/8.69 % (1321121)Instruction limit reached!
% 27.47/8.69 % (1321121)------------------------------
% 27.47/8.69 % (1321121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/8.69 % (1321121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/8.69 % (1321121)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321121)Termination reason: Instruction limit
% 27.47/8.69 % (1321121)Termination phase: Saturation
% 27.47/8.69 % (1321121)Time elapsed: 0.331 s
% 27.47/8.69 % (1321121)Peak memory usage: 161 MB
% 27.47/8.69 % (1321121)Instructions burned: 437 (million)
% 27.47/8.69 % (1321127)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3791134771:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2954 on theBenchmark for (2954ds/134Mi)
% 27.47/8.69 % (1321120)Instruction limit reached!
% 27.47/8.69 % (1321120)------------------------------
% 27.47/8.69 % (1321120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/8.69 % (1321120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/8.69 % (1321120)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321120)Termination reason: Instruction limit
% 27.47/8.69 % (1321120)Termination phase: Property scanning
% 27.47/8.69 % (1321120)Time elapsed: 0.659 s
% 27.47/8.69 % (1321120)Peak memory usage: 177 MB
% 27.47/8.69 % (1321120)Instructions burned: 908 (million)
% 27.47/8.69 % (1321127)Instruction limit reached!
% 27.47/8.69 % (1321127)------------------------------
% 27.47/8.69 % (1321127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/8.69 % (1321127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/8.69 % (1321127)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321127)Termination reason: Instruction limit
% 27.47/8.69 % (1321127)Termination phase: SInE selection
% 27.47/8.69 % (1321127)Time elapsed: 0.103 s
% 27.47/8.69 % (1321127)Peak memory usage: 154 MB
% 27.47/8.69 % (1321127)Instructions burned: 134 (million)
% 27.47/8.69 % (1321129)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1479337501:st=8:i=592:sd=3:ep=RST:ss=axioms_2951 on theBenchmark for (2951ds/592Mi)
% 27.47/8.69 % (1321130)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2212400701:st=3:i=13193:sd=3:ss=axioms_2951 on theBenchmark for (2951ds/13193Mi)
% 27.47/8.69 % (1321129)Instruction limit reached!
% 27.47/8.69 % (1321129)------------------------------
% 27.47/8.69 % (1321129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/8.69 % (1321129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/8.69 % (1321129)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321129)Termination reason: Instruction limit
% 27.47/8.69 % (1321129)Termination phase: Preprocessing 1
% 27.47/8.69 % (1321129)Time elapsed: 0.425 s
% 27.47/8.69 % (1321129)Peak memory usage: 157 MB
% 27.47/8.69 % (1321129)Instructions burned: 592 (million)
% 27.47/8.69 % (1321112)Instruction limit reached!
% 27.47/8.69 % (1321112)------------------------------
% 27.47/8.69 % (1321112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/8.69 % (1321112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/8.69 % (1321112)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321112)Termination reason: Instruction limit
% 27.47/8.69 % (1321112)Termination phase: Preprocessing 3
% 27.47/8.69 % (1321112)Time elapsed: 1.693 s
% 27.47/8.69 % (1321112)Peak memory usage: 255 MB
% 27.47/8.69 % (1321112)Instructions burned: 2350 (million)
% 27.47/8.69 % (1321133)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=3025422661:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2945 on theBenchmark for (2945ds/125Mi)
% 27.47/8.69 % (1321133)Instruction limit reached!
% 27.47/8.69 % (1321133)------------------------------
% 27.47/8.69 % (1321133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/8.69 % (1321133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/8.69 % (1321133)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321133)Termination reason: Instruction limit
% 27.47/8.69 % (1321133)Termination phase: Property scanning
% 27.47/8.69 % (1321133)Time elapsed: 0.058 s
% 27.47/8.69 % (1321133)Peak memory usage: 154 MB
% 27.47/8.69 % (1321133)Instructions burned: 125 (million)
% 27.47/8.69 % (1321135)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1167092692:i=134:gtgl=5:slsql=off:gtg=exists_sym_2943 on theBenchmark for (2943ds/134Mi)
% 27.47/8.69 % (1321136)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4128027035:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2943 on theBenchmark for (2943ds/141Mi)
% 27.47/8.69 % (1321135)Instruction limit reached!
% 27.47/8.69 % (1321135)------------------------------
% 27.47/8.69 % (1321135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/8.69 % (1321135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/8.69 % (1321135)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321135)Termination reason: Instruction limit
% 27.47/8.69 % (1321135)Termination phase: Property scanning
% 27.47/8.69 % (1321135)Time elapsed: 0.064 s
% 27.47/8.69 % (1321135)Peak memory usage: 154 MB
% 27.47/8.69 % (1321135)Instructions burned: 137 (million)
% 27.47/8.69 % (1321136)Instruction limit reached!
% 27.47/8.69 % (1321136)------------------------------
% 27.47/8.69 % (1321136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/8.69 % (1321136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/8.69 % (1321136)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321136)Termination reason: Instruction limit
% 27.47/8.69 % (1321136)Termination phase: SInE selection
% 27.47/8.69 % (1321136)Time elapsed: 0.113 s
% 27.47/8.69 % (1321136)Peak memory usage: 154 MB
% 27.47/8.69 % (1321136)Instructions burned: 141 (million)
% 27.47/8.69 % (1321139)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1528003565:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2941 on theBenchmark for (2941ds/431Mi)
% 27.47/8.69 % (1321140)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=404440010:i=6060:aac=none:ins=25_2940 on theBenchmark for (2940ds/6060Mi)
% 27.47/8.69 % (1321139)Instruction limit reached!
% 27.47/8.69 % (1321139)------------------------------
% 27.47/8.69 % (1321139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/8.69 % (1321139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/8.69 % (1321139)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321139)Termination reason: Instruction limit
% 27.47/8.69 % (1321139)Termination phase: Saturation
% 27.47/8.69 % (1321139)Time elapsed: 0.343 s
% 27.47/8.69 % (1321139)Peak memory usage: 160 MB
% 27.47/8.69 % (1321139)Instructions burned: 431 (million)
% 27.47/8.69 % (1321143)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=310688869:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2935 on theBenchmark for (2935ds/150Mi)
% 27.47/8.69 % (1321143)Instruction limit reached!
% 27.47/8.69 % (1321143)------------------------------
% 27.47/8.69 % (1321143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/8.69 % (1321143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/8.69 % (1321143)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321143)Termination reason: Instruction limit
% 27.47/8.69 % (1321143)Termination phase: SInE selection
% 27.47/8.69 % (1321143)Time elapsed: 0.122 s
% 27.47/8.69 % (1321143)Peak memory usage: 154 MB
% 27.47/8.69 % (1321143)Instructions burned: 151 (million)
% 27.47/8.69 % (1321145)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=268320360:i=14155:bd=all_2932 on theBenchmark for (2932ds/14155Mi)
% 27.47/8.69 % (1321090)First to succeed.
% 27.47/8.69 % (1321090)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1321084"
% 27.47/8.69 % (1321124)Instruction limit reached!
% 27.47/8.69 % (1321124)------------------------------
% 27.47/8.69 % (1321124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/8.69 % (1321124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/8.69 % (1321124)CaDiCaL version: 2.1.3
% 27.47/8.69 % (1321124)Termination reason: Instruction limit
% 27.47/8.69 % (1321124)Termination phase: Saturation
% 27.47/8.69 % (1321124)Time elapsed: 3.259 s
% 27.47/8.69 % (1321124)Peak memory usage: 280 MB
% 27.47/8.69 % (1321124)Instructions burned: 5202 (million)
% 27.47/8.69 % (1321090)Refutation found. Thanks to Tanya!
% 27.47/8.69 % SZS status Theorem for theBenchmark
% 27.47/8.69 % SZS output start Proof for theBenchmark
% See solution above
% 36.14/8.94 % (1321090)------------------------------
% 36.14/8.94 % (1321090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.14/8.94 % (1321090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.14/8.94 % (1321090)CaDiCaL version: 2.1.3
% 36.14/8.94 % (1321090)Termination reason: Refutation
% 36.14/8.94 % (1321090)Time elapsed: 4.060 s
% 36.14/8.94 % (1321090)Peak memory usage: 323 MB
% 36.14/8.94 % (1321090)Instructions burned: 6471 (million)
% 36.14/8.94 % (1321090)------------------------------
% 36.14/8.94 % (1321090)------------------------------
% 36.14/8.94 % (1321084)Success in time 7.782 s
% 36.14/8.94 % Vampire exiting
%------------------------------------------------------------------------------