%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP047+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 02:34:06 PM UTC 2026
% Result : Theorem 10.71s 3.73s
% Output : Refutation 19.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 26
% Syntax : Number of formulae : 224 ( 36 unt; 10 def)
% Number of atoms : 945 ( 148 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1257 ( 536 ~; 572 |; 110 &)
% ( 11 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 11 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 150 ( 0 sgn 146 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f4341,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f4403,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f4405,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( v1_pre_topc(X0)
=> X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_pre_topc) ).
fof(f5243,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f5940,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f6776,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> k4_yellow_0(k2_yellow_1(u1_pre_topc(X0))) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_yellow_1) ).
fof(f7465,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m4_yellow_6(X1,X0) )
=> ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc24_yellow_6) ).
fof(f7466,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m4_yellow_6(X1,X0) )
=> ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& v2_pre_topc(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc25_yellow_6) ).
fof(f7570,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m4_yellow_6(X1,X0) )
=> ( v1_pre_topc(k14_yellow_6(X0,X1))
& l1_pre_topc(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_yellow_6) ).
fof(f7683,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v3_orders_2(X0) )
=> v3_orders_2(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_waybel_8) ).
fof(f7684,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v4_orders_2(X0) )
=> v4_orders_2(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_waybel_8) ).
fof(f8640,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_waybel28) ).
fof(f8658,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> m4_yellow_6(k3_waybel28(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel28) ).
fof(f8863,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_waybel33) ).
fof(f8864,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel33) ).
fof(f8865,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f8864]) ).
fof(f8943,plain,
! [X0] :
( ! [X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8863]) ).
fof(f8944,plain,
! [X0] :
( ! [X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f8943]) ).
fof(f8945,plain,
? [X0] :
( ? [X1] :
( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8865]) ).
fof(f8946,plain,
? [X0] :
( ? [X1] :
( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f8945]) ).
fof(f8976,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f5940]) ).
fof(f8977,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f8976]) ).
fof(f9040,plain,
! [X0] :
( ! [X1] :
( v4_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7684]) ).
fof(f9041,plain,
! [X0] :
( ! [X1] :
( v4_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f9040]) ).
fof(f9042,plain,
! [X0] :
( ! [X1] :
( v3_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7683]) ).
fof(f9043,plain,
! [X0] :
( ! [X1] :
( v3_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f9042]) ).
fof(f9102,plain,
! [X0] :
( k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8640]) ).
fof(f9103,plain,
! [X0] :
( k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f9102]) ).
fof(f9148,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f5243]) ).
fof(f9149,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f4403]) ).
fof(f9272,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8658]) ).
fof(f9273,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f9272]) ).
fof(f9294,plain,
! [X0,X1] :
( ( v1_pre_topc(k14_yellow_6(X0,X1))
& l1_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(ennf_transformation,[],[f7570]) ).
fof(f9295,plain,
! [X0,X1] :
( ( v1_pre_topc(k14_yellow_6(X0,X1))
& l1_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(flattening,[],[f9294]) ).
fof(f9296,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& v2_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(ennf_transformation,[],[f7466]) ).
fof(f9297,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& v2_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(flattening,[],[f9296]) ).
fof(f9298,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(ennf_transformation,[],[f7465]) ).
fof(f9299,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(flattening,[],[f9298]) ).
fof(f10294,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4341]) ).
fof(f10648,plain,
! [X0] :
( X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0))
| ~ v1_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f4405]) ).
fof(f10649,plain,
! [X0] :
( X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0))
| ~ v1_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f10648]) ).
fof(f11720,plain,
! [X0] :
( k4_yellow_0(k2_yellow_1(u1_pre_topc(X0))) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6776]) ).
fof(f11721,plain,
! [X0] :
( k4_yellow_0(k2_yellow_1(u1_pre_topc(X0))) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f11720]) ).
fof(f11764,plain,
( k14_yellow_6(sK23,k3_waybel28(sK23)) != k14_yellow_6(sK24,k3_waybel28(sK24))
& g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23)) = g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
& v2_orders_2(sK24)
& v3_orders_2(sK24)
& v4_orders_2(sK24)
& v24_waybel_0(sK24)
& v25_waybel_0(sK24)
& v2_lattice3(sK24)
& l1_orders_2(sK24)
& v2_orders_2(sK23)
& v3_orders_2(sK23)
& v4_orders_2(sK23)
& v24_waybel_0(sK23)
& v25_waybel_0(sK23)
& v2_lattice3(sK23)
& l1_orders_2(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X0,sK23),skolemize(X1,sK24)],[f8946]) ).
fof(f11854,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f11855,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f11854]) ).
fof(f12857,plain,
! [X0,X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f8944]) ).
fof(f12858,plain,
l1_orders_2(sK23),
inference(cnf_transformation,[],[f11764]) ).
fof(f12859,plain,
v2_lattice3(sK23),
inference(cnf_transformation,[],[f11764]) ).
fof(f12860,plain,
v25_waybel_0(sK23),
inference(cnf_transformation,[],[f11764]) ).
fof(f12861,plain,
v24_waybel_0(sK23),
inference(cnf_transformation,[],[f11764]) ).
fof(f12862,plain,
v4_orders_2(sK23),
inference(cnf_transformation,[],[f11764]) ).
fof(f12863,plain,
v3_orders_2(sK23),
inference(cnf_transformation,[],[f11764]) ).
fof(f12864,plain,
v2_orders_2(sK23),
inference(cnf_transformation,[],[f11764]) ).
fof(f12865,plain,
l1_orders_2(sK24),
inference(cnf_transformation,[],[f11764]) ).
fof(f12866,plain,
v2_lattice3(sK24),
inference(cnf_transformation,[],[f11764]) ).
fof(f12867,plain,
v25_waybel_0(sK24),
inference(cnf_transformation,[],[f11764]) ).
fof(f12868,plain,
v24_waybel_0(sK24),
inference(cnf_transformation,[],[f11764]) ).
fof(f12869,plain,
v4_orders_2(sK24),
inference(cnf_transformation,[],[f11764]) ).
fof(f12870,plain,
v3_orders_2(sK24),
inference(cnf_transformation,[],[f11764]) ).
fof(f12871,plain,
v2_orders_2(sK24),
inference(cnf_transformation,[],[f11764]) ).
fof(f12872,plain,
g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23)) = g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24)),
inference(cnf_transformation,[],[f11764]) ).
fof(f12873,plain,
k14_yellow_6(sK23,k3_waybel28(sK23)) != k14_yellow_6(sK24,k3_waybel28(sK24)),
inference(cnf_transformation,[],[f11764]) ).
fof(f12960,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f8977]) ).
fof(f13143,plain,
! [X0,X1] :
( ~ v4_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f9041]) ).
fof(f13144,plain,
! [X0,X1] :
( ~ v3_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f9043]) ).
fof(f13202,plain,
! [X0] :
( v3_struct_0(X0)
| k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f9103]) ).
fof(f13411,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f9148]) ).
fof(f13412,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f9149]) ).
fof(f13491,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f11855]) ).
fof(f13626,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f9273]) ).
fof(f13655,plain,
! [X0,X1] :
( l1_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(cnf_transformation,[],[f9295]) ).
fof(f13657,plain,
! [X0,X1] :
( v2_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(cnf_transformation,[],[f9297]) ).
fof(f13660,plain,
! [X0,X1] :
( v1_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(cnf_transformation,[],[f9299]) ).
fof(f13661,plain,
! [X0,X1] :
( ~ v3_struct_0(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(cnf_transformation,[],[f9299]) ).
fof(f15298,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10294]) ).
fof(f15900,plain,
! [X0] :
( ~ v1_pre_topc(X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10649]) ).
fof(f17469,plain,
! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k4_yellow_0(k2_yellow_1(u1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f11721]) ).
fof(f19873,plain,
! [X0,X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f12857,f13144]) ).
fof(f19956,plain,
! [X0,X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f19873,f13143]) ).
fof(f20019,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23))
| v3_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(sK23) ),
inference(resolution,[],[f13144,f12863]) ).
fof(f20022,plain,
! [X0] :
( v3_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23))
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f20019,f12858]) ).
fof(f20026,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23))
| v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(sK23) ),
inference(resolution,[],[f13143,f12862]) ).
fof(f20029,plain,
! [X0] :
( v4_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23))
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f20026,f12858]) ).
fof(f20033,plain,
! [X0] :
( ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f12960,f13202]) ).
fof(f20034,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) ),
inference(duplicate_literal_removal,[],[f20033]) ).
fof(f20063,plain,
( ~ v2_lattice3(sK23)
| k4_waybel28(sK23) = u1_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))) ),
inference(resolution,[],[f20034,f12858]) ).
fof(f20064,plain,
( ~ v2_lattice3(sK24)
| k4_waybel28(sK24) = u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))) ),
inference(resolution,[],[f20034,f12865]) ).
fof(f20065,plain,
k4_waybel28(sK24) = u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))),
inference(forward_subsumption_resolution,[],[f20064,f12866]) ).
fof(f20066,plain,
k4_waybel28(sK23) = u1_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))),
inference(forward_subsumption_resolution,[],[f20063,f12859]) ).
fof(f20067,plain,
! [X0] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v24_waybel_0(sK24)
| ~ v25_waybel_0(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(superposition,[],[f19956,f20065]) ).
fof(f20070,plain,
! [X0] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v24_waybel_0(sK24)
| ~ v25_waybel_0(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f20067,f12871]) ).
fof(f20072,plain,
! [X0] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v4_orders_2(sK24)
| ~ v24_waybel_0(sK24)
| ~ v25_waybel_0(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f20070,f12870]) ).
fof(f20074,plain,
! [X0] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v24_waybel_0(sK24)
| ~ v25_waybel_0(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f20072,f12869]) ).
fof(f20076,plain,
! [X0] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v25_waybel_0(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f20074,f12868]) ).
fof(f20078,plain,
! [X0] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f20076,f12867]) ).
fof(f20080,plain,
! [X0] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ l1_orders_2(sK24)
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f20078,f12866]) ).
fof(f20082,plain,
! [X0] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f20080,f12865]) ).
fof(f20084,plain,
! [X0] :
( ~ v25_waybel_0(X0)
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK24))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_demodulation,[],[f20082,f12872]) ).
fof(f20112,plain,
! [X0] :
( ~ l1_orders_2(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f15298,f13411]) ).
fof(f20113,plain,
u1_struct_0(sK23) = k2_pre_topc(sK23),
inference(resolution,[],[f20112,f12858]) ).
fof(f20150,definition,
( spl675_19
<=> v3_struct_0(sK23) ),
introduced(definition,[new_symbols(definition,[spl675_19])],[avatar_definition]) ).
fof(f20151,plain,
( v3_struct_0(sK23)
| ~ spl675_19 ),
inference(avatar_component_clause,[],[f20150]) ).
fof(f20157,definition,
( spl675_21
<=> v3_struct_0(sK24) ),
introduced(definition,[new_symbols(definition,[spl675_21])],[avatar_definition]) ).
fof(f20158,plain,
( v3_struct_0(sK24)
| ~ spl675_21 ),
inference(avatar_component_clause,[],[f20157]) ).
fof(f20178,plain,
( ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl675_21 ),
inference(resolution,[],[f20158,f12960]) ).
fof(f20180,plain,
( ~ l1_orders_2(sK24)
| ~ spl675_21 ),
inference(forward_subsumption_resolution,[],[f20178,f12866]) ).
fof(f20182,plain,
( $false
| ~ spl675_21 ),
inference(forward_subsumption_resolution,[],[f20180,f12865]) ).
fof(f20183,plain,
~ spl675_21,
inference(avatar_contradiction_clause,[],[f20182]) ).
fof(f20188,plain,
( ~ v2_lattice3(sK23)
| ~ l1_orders_2(sK23)
| ~ spl675_19 ),
inference(resolution,[],[f20151,f12960]) ).
fof(f20190,plain,
( ~ l1_orders_2(sK23)
| ~ spl675_19 ),
inference(forward_subsumption_resolution,[],[f20188,f12859]) ).
fof(f20192,plain,
( $false
| ~ spl675_19 ),
inference(forward_subsumption_resolution,[],[f20190,f12858]) ).
fof(f20193,plain,
~ spl675_19,
inference(avatar_contradiction_clause,[],[f20192]) ).
fof(f20388,plain,
! [X0,X1] :
( ~ v25_waybel_0(X1)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(resolution,[],[f13491,f19956]) ).
fof(f20391,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(sK24)
| ~ v24_waybel_0(sK24)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))))
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24) ),
inference(resolution,[],[f20388,f12867]) ).
fof(f20392,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v24_waybel_0(sK24)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))))
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24) ),
inference(forward_subsumption_resolution,[],[f20391,f12871]) ).
fof(f20394,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))))
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24) ),
inference(forward_subsumption_resolution,[],[f20392,f12868]) ).
fof(f20396,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))))
| ~ l1_orders_2(sK24) ),
inference(forward_subsumption_resolution,[],[f20394,f12866]) ).
fof(f20398,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))) ),
inference(forward_subsumption_resolution,[],[f20396,f12865]) ).
fof(f20400,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = k4_waybel28(sK24)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK24),u1_orders_2(sK24))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))) ),
inference(forward_demodulation,[],[f20398,f20065]) ).
fof(f20402,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23))
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = k4_waybel28(sK24)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))) ),
inference(forward_demodulation,[],[f20400,f12872]) ).
fof(f20404,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23))
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = k4_waybel28(sK24)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))) ),
inference(forward_subsumption_resolution,[],[f20402,f20022]) ).
fof(f20406,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23))
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = k4_waybel28(sK24)
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))) ),
inference(forward_subsumption_resolution,[],[f20404,f20029]) ).
fof(f20408,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(k2_pre_topc(sK23),u1_orders_2(sK23))
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = k4_waybel28(sK24)
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))) ),
inference(forward_demodulation,[],[f20406,f20113]) ).
fof(f20410,plain,
! [X0] :
( ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(k2_pre_topc(sK23),u1_orders_2(sK23))
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = k4_waybel28(sK24)
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_demodulation,[],[f20408,f20065]) ).
fof(f20429,definition,
( spl675_33
<=> k4_waybel28(sK23) = k4_waybel28(sK24) ),
introduced(definition,[new_symbols(definition,[spl675_33])],[avatar_definition]) ).
fof(f20430,plain,
( k4_waybel28(sK23) = k4_waybel28(sK24)
| ~ spl675_33 ),
inference(avatar_component_clause,[],[f20429]) ).
fof(f20441,plain,
( ~ r1_tarski(k4_waybel28(sK23),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23)) != g1_orders_2(k2_pre_topc(sK23),u1_orders_2(sK23))
| k4_waybel28(sK23) = k4_waybel28(sK24)
| ~ v2_orders_2(sK23)
| ~ v24_waybel_0(sK23)
| ~ v25_waybel_0(sK23)
| ~ v2_lattice3(sK23)
| ~ l1_orders_2(sK23) ),
inference(superposition,[],[f20410,f20066]) ).
fof(f20442,plain,
( ~ r1_tarski(k4_waybel28(sK23),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23)) != g1_orders_2(k2_pre_topc(sK23),u1_orders_2(sK23))
| k4_waybel28(sK23) = k4_waybel28(sK24)
| ~ v24_waybel_0(sK23)
| ~ v25_waybel_0(sK23)
| ~ v2_lattice3(sK23)
| ~ l1_orders_2(sK23) ),
inference(forward_subsumption_resolution,[],[f20441,f12864]) ).
fof(f20443,plain,
( ~ r1_tarski(k4_waybel28(sK23),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23)) != g1_orders_2(k2_pre_topc(sK23),u1_orders_2(sK23))
| k4_waybel28(sK23) = k4_waybel28(sK24)
| ~ v25_waybel_0(sK23)
| ~ v2_lattice3(sK23)
| ~ l1_orders_2(sK23) ),
inference(forward_subsumption_resolution,[],[f20442,f12861]) ).
fof(f20444,plain,
( ~ r1_tarski(k4_waybel28(sK23),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23)) != g1_orders_2(k2_pre_topc(sK23),u1_orders_2(sK23))
| k4_waybel28(sK23) = k4_waybel28(sK24)
| ~ v2_lattice3(sK23)
| ~ l1_orders_2(sK23) ),
inference(forward_subsumption_resolution,[],[f20443,f12860]) ).
fof(f20445,plain,
( ~ r1_tarski(k4_waybel28(sK23),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23)) != g1_orders_2(k2_pre_topc(sK23),u1_orders_2(sK23))
| k4_waybel28(sK23) = k4_waybel28(sK24)
| ~ l1_orders_2(sK23) ),
inference(forward_subsumption_resolution,[],[f20444,f12859]) ).
fof(f20446,plain,
( ~ r1_tarski(k4_waybel28(sK23),k4_waybel28(sK24))
| g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23)) != g1_orders_2(k2_pre_topc(sK23),u1_orders_2(sK23))
| k4_waybel28(sK23) = k4_waybel28(sK24) ),
inference(forward_subsumption_resolution,[],[f20445,f12858]) ).
fof(f20447,plain,
( g1_orders_2(k2_pre_topc(sK23),u1_orders_2(sK23)) != g1_orders_2(k2_pre_topc(sK23),u1_orders_2(sK23))
| ~ r1_tarski(k4_waybel28(sK23),k4_waybel28(sK24))
| k4_waybel28(sK23) = k4_waybel28(sK24) ),
inference(forward_demodulation,[],[f20446,f20113]) ).
fof(f20448,plain,
( ~ r1_tarski(k4_waybel28(sK23),k4_waybel28(sK24))
| k4_waybel28(sK23) = k4_waybel28(sK24) ),
inference(trivial_inequality_removal,[],[f20447]) ).
fof(f20450,definition,
( spl675_36
<=> r1_tarski(k4_waybel28(sK23),k4_waybel28(sK24)) ),
introduced(definition,[new_symbols(definition,[spl675_36])],[avatar_definition]) ).
fof(f20451,plain,
( ~ r1_tarski(k4_waybel28(sK23),k4_waybel28(sK24))
| spl675_36 ),
inference(avatar_component_clause,[],[f20450]) ).
fof(f20452,plain,
( spl675_33
| ~ spl675_36 ),
inference(avatar_split_clause,[],[f20448,f20450,f20429]) ).
fof(f20485,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| l1_struct_0(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0) ),
inference(resolution,[],[f13412,f13655]) ).
fof(f20486,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| l1_struct_0(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f20485,f13411]) ).
fof(f20487,plain,
! [X0] :
( l1_struct_0(k14_yellow_6(X0,k3_waybel28(X0)))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f20486,f13626]) ).
fof(f20488,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| l1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))) ),
inference(duplicate_literal_removal,[],[f20487]) ).
fof(f20489,plain,
( v3_struct_0(sK23)
| l1_struct_0(k14_yellow_6(sK23,k3_waybel28(sK23))) ),
inference(resolution,[],[f20488,f12858]) ).
fof(f20490,plain,
( v3_struct_0(sK24)
| l1_struct_0(k14_yellow_6(sK24,k3_waybel28(sK24))) ),
inference(resolution,[],[f20488,f12865]) ).
fof(f20492,definition,
( spl675_37
<=> l1_struct_0(k14_yellow_6(sK24,k3_waybel28(sK24))) ),
introduced(definition,[new_symbols(definition,[spl675_37])],[avatar_definition]) ).
fof(f20493,plain,
( l1_struct_0(k14_yellow_6(sK24,k3_waybel28(sK24)))
| ~ spl675_37 ),
inference(avatar_component_clause,[],[f20492]) ).
fof(f20494,plain,
( spl675_37
| spl675_21 ),
inference(avatar_split_clause,[],[f20490,f20157,f20492]) ).
fof(f20496,definition,
( spl675_38
<=> l1_struct_0(k14_yellow_6(sK23,k3_waybel28(sK23))) ),
introduced(definition,[new_symbols(definition,[spl675_38])],[avatar_definition]) ).
fof(f20497,plain,
( l1_struct_0(k14_yellow_6(sK23,k3_waybel28(sK23)))
| ~ spl675_38 ),
inference(avatar_component_clause,[],[f20496]) ).
fof(f20498,plain,
( spl675_38
| spl675_19 ),
inference(avatar_split_clause,[],[f20489,f20150,f20496]) ).
fof(f20501,plain,
( u1_struct_0(k14_yellow_6(sK24,k3_waybel28(sK24))) = k2_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))
| ~ spl675_37 ),
inference(resolution,[],[f20493,f15298]) ).
fof(f20516,plain,
( u1_struct_0(k14_yellow_6(sK23,k3_waybel28(sK23))) = k2_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23)))
| ~ spl675_38 ),
inference(resolution,[],[f20497,f15298]) ).
fof(f20699,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))),k4_waybel28(sK24))
| ~ v2_orders_2(sK23)
| ~ v24_waybel_0(sK23)
| g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23)) != g1_orders_2(u1_struct_0(sK23),u1_orders_2(sK23))
| ~ v2_lattice3(sK23)
| ~ l1_orders_2(sK23) ),
inference(resolution,[],[f20084,f12860]) ).
fof(f20701,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))),k4_waybel28(sK24))
| ~ v2_orders_2(sK23)
| ~ v24_waybel_0(sK23)
| ~ v2_lattice3(sK23)
| ~ l1_orders_2(sK23) ),
inference(trivial_inequality_removal,[],[f20699]) ).
fof(f20703,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))),k4_waybel28(sK24))
| ~ v24_waybel_0(sK23)
| ~ v2_lattice3(sK23)
| ~ l1_orders_2(sK23) ),
inference(forward_subsumption_resolution,[],[f20701,f12864]) ).
fof(f20705,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))),k4_waybel28(sK24))
| ~ v2_lattice3(sK23)
| ~ l1_orders_2(sK23) ),
inference(forward_subsumption_resolution,[],[f20703,f12861]) ).
fof(f20707,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))),k4_waybel28(sK24))
| ~ l1_orders_2(sK23) ),
inference(forward_subsumption_resolution,[],[f20705,f12859]) ).
fof(f20709,plain,
r1_tarski(u1_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))),k4_waybel28(sK24)),
inference(forward_subsumption_resolution,[],[f20707,f12858]) ).
fof(f20711,plain,
r1_tarski(k4_waybel28(sK23),k4_waybel28(sK24)),
inference(forward_demodulation,[],[f20709,f20066]) ).
fof(f20713,plain,
( $false
| spl675_36 ),
inference(forward_subsumption_resolution,[],[f20711,f20451]) ).
fof(f20714,plain,
spl675_36,
inference(avatar_contradiction_clause,[],[f20713]) ).
fof(f20942,plain,
! [X0,X1] :
( k14_yellow_6(X0,X1) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,X1)),u1_pre_topc(k14_yellow_6(X0,X1)))
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(resolution,[],[f15900,f13660]) ).
fof(f20943,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k14_yellow_6(X0,X1) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,X1)),u1_pre_topc(k14_yellow_6(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f20942,f13655]) ).
fof(f20944,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k14_yellow_6(X0,k3_waybel28(X0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f20943,f13626]) ).
fof(f20945,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k14_yellow_6(X0,k3_waybel28(X0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f20944]) ).
fof(f20946,plain,
! [X0] :
( ~ l1_orders_2(X0)
| k14_yellow_6(X0,k3_waybel28(X0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f20945,f13411]) ).
fof(f20947,plain,
( k14_yellow_6(sK23,k3_waybel28(sK23)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK23,k3_waybel28(sK23))),u1_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))))
| v3_struct_0(sK23) ),
inference(resolution,[],[f20946,f12858]) ).
fof(f20948,plain,
( k14_yellow_6(sK24,k3_waybel28(sK24)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK24,k3_waybel28(sK24))),u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))))
| v3_struct_0(sK24) ),
inference(resolution,[],[f20946,f12865]) ).
fof(f20951,plain,
( k14_yellow_6(sK24,k3_waybel28(sK24)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK24,k3_waybel28(sK24))),k4_waybel28(sK24))
| v3_struct_0(sK24) ),
inference(forward_demodulation,[],[f20948,f20065]) ).
fof(f20952,plain,
( k14_yellow_6(sK23,k3_waybel28(sK23)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK23,k3_waybel28(sK23))),k4_waybel28(sK23))
| v3_struct_0(sK23) ),
inference(forward_demodulation,[],[f20947,f20066]) ).
fof(f20954,plain,
( k14_yellow_6(sK24,k3_waybel28(sK24)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK24,k3_waybel28(sK24))),k4_waybel28(sK23))
| v3_struct_0(sK24)
| ~ spl675_33 ),
inference(forward_demodulation,[],[f20951,f20430]) ).
fof(f20955,plain,
( k14_yellow_6(sK23,k3_waybel28(sK23)) = g1_pre_topc(k2_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))),k4_waybel28(sK23))
| v3_struct_0(sK23)
| ~ spl675_38 ),
inference(forward_demodulation,[],[f20952,f20516]) ).
fof(f20956,plain,
( k14_yellow_6(sK24,k3_waybel28(sK24)) = g1_pre_topc(k2_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))),k4_waybel28(sK23))
| v3_struct_0(sK24)
| ~ spl675_33
| ~ spl675_37 ),
inference(forward_demodulation,[],[f20954,f20501]) ).
fof(f20958,definition,
( spl675_72
<=> k14_yellow_6(sK23,k3_waybel28(sK23)) = g1_pre_topc(k2_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))),k4_waybel28(sK23)) ),
introduced(definition,[new_symbols(definition,[spl675_72])],[avatar_definition]) ).
fof(f20959,plain,
( k14_yellow_6(sK23,k3_waybel28(sK23)) = g1_pre_topc(k2_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))),k4_waybel28(sK23))
| ~ spl675_72 ),
inference(avatar_component_clause,[],[f20958]) ).
fof(f20960,plain,
( spl675_19
| spl675_72
| ~ spl675_38 ),
inference(avatar_split_clause,[],[f20955,f20496,f20958,f20150]) ).
fof(f20962,definition,
( spl675_73
<=> k14_yellow_6(sK24,k3_waybel28(sK24)) = g1_pre_topc(k2_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))),k4_waybel28(sK23)) ),
introduced(definition,[new_symbols(definition,[spl675_73])],[avatar_definition]) ).
fof(f20963,plain,
( k14_yellow_6(sK24,k3_waybel28(sK24)) = g1_pre_topc(k2_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))),k4_waybel28(sK23))
| ~ spl675_73 ),
inference(avatar_component_clause,[],[f20962]) ).
fof(f20964,plain,
( spl675_21
| spl675_73
| ~ spl675_33
| ~ spl675_37 ),
inference(avatar_split_clause,[],[f20956,f20492,f20429,f20962,f20157]) ).
fof(f21508,plain,
! [X0,X1] :
( v3_struct_0(k14_yellow_6(X0,X1))
| u1_struct_0(k14_yellow_6(X0,X1)) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,X1))))
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(resolution,[],[f17469,f13657]) ).
fof(f21509,plain,
! [X0,X1] :
( v3_struct_0(k14_yellow_6(X0,X1))
| u1_struct_0(k14_yellow_6(X0,X1)) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,X1))))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(forward_subsumption_resolution,[],[f21508,f13655]) ).
fof(f21510,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| u1_struct_0(k14_yellow_6(X0,X1)) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,X1)))) ),
inference(forward_subsumption_resolution,[],[f21509,f13661]) ).
fof(f21511,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f21510,f13626]) ).
fof(f21512,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))))
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f21511]) ).
fof(f21513,plain,
! [X0] :
( ~ l1_orders_2(X0)
| u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))))
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f21512,f13411]) ).
fof(f21514,plain,
( u1_struct_0(k14_yellow_6(sK23,k3_waybel28(sK23))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23)))))
| v3_struct_0(sK23) ),
inference(resolution,[],[f21513,f12858]) ).
fof(f21515,plain,
( u1_struct_0(k14_yellow_6(sK24,k3_waybel28(sK24))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24)))))
| v3_struct_0(sK24) ),
inference(resolution,[],[f21513,f12865]) ).
fof(f21518,plain,
( u1_struct_0(k14_yellow_6(sK24,k3_waybel28(sK24))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK24)))
| v3_struct_0(sK24) ),
inference(forward_demodulation,[],[f21515,f20065]) ).
fof(f21519,plain,
( u1_struct_0(k14_yellow_6(sK23,k3_waybel28(sK23))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK23)))
| v3_struct_0(sK23) ),
inference(forward_demodulation,[],[f21514,f20066]) ).
fof(f21521,plain,
( u1_struct_0(k14_yellow_6(sK24,k3_waybel28(sK24))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK23)))
| v3_struct_0(sK24)
| ~ spl675_33 ),
inference(forward_demodulation,[],[f21518,f20430]) ).
fof(f21522,plain,
( k2_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK23)))
| v3_struct_0(sK23)
| ~ spl675_38 ),
inference(forward_demodulation,[],[f21519,f20516]) ).
fof(f21523,plain,
( k2_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK23)))
| v3_struct_0(sK24)
| ~ spl675_33
| ~ spl675_37 ),
inference(forward_demodulation,[],[f21521,f20501]) ).
fof(f21525,definition,
( spl675_101
<=> k2_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK23))) ),
introduced(definition,[new_symbols(definition,[spl675_101])],[avatar_definition]) ).
fof(f21526,plain,
( k2_pre_topc(k14_yellow_6(sK23,k3_waybel28(sK23))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK23)))
| ~ spl675_101 ),
inference(avatar_component_clause,[],[f21525]) ).
fof(f21527,plain,
( spl675_19
| spl675_101
| ~ spl675_38 ),
inference(avatar_split_clause,[],[f21522,f20496,f21525,f20150]) ).
fof(f21529,definition,
( spl675_102
<=> k2_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK23))) ),
introduced(definition,[new_symbols(definition,[spl675_102])],[avatar_definition]) ).
fof(f21530,plain,
( k2_pre_topc(k14_yellow_6(sK24,k3_waybel28(sK24))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK23)))
| ~ spl675_102 ),
inference(avatar_component_clause,[],[f21529]) ).
fof(f21531,plain,
( spl675_21
| spl675_102
| ~ spl675_33
| ~ spl675_37 ),
inference(avatar_split_clause,[],[f21523,f20492,f20429,f21529,f20157]) ).
fof(f21534,plain,
( k14_yellow_6(sK23,k3_waybel28(sK23)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK23))),k4_waybel28(sK23))
| ~ spl675_72
| ~ spl675_101 ),
inference(superposition,[],[f20959,f21526]) ).
fof(f21543,plain,
( k14_yellow_6(sK24,k3_waybel28(sK24)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK23))),k4_waybel28(sK23))
| ~ spl675_73
| ~ spl675_102 ),
inference(superposition,[],[f20963,f21530]) ).
fof(f21550,plain,
( k14_yellow_6(sK23,k3_waybel28(sK23)) = k14_yellow_6(sK24,k3_waybel28(sK24))
| ~ spl675_72
| ~ spl675_73
| ~ spl675_101
| ~ spl675_102 ),
inference(forward_demodulation,[],[f21543,f21534]) ).
fof(f21551,plain,
( $false
| ~ spl675_72
| ~ spl675_73
| ~ spl675_101
| ~ spl675_102 ),
inference(forward_subsumption_resolution,[],[f21550,f12873]) ).
fof(f21552,plain,
( ~ spl675_72
| ~ spl675_73
| ~ spl675_101
| ~ spl675_102 ),
inference(avatar_contradiction_clause,[],[f21551]) ).
cnf(s19,plain,
~ spl675_21,
inference(sat_conversion,[],[f20183]) ).
cnf(s21,plain,
~ spl675_19,
inference(sat_conversion,[],[f20193]) ).
cnf(s36,plain,
( spl675_33
| ~ spl675_36 ),
inference(sat_conversion,[],[f20452]) ).
cnf(s37,plain,
( spl675_21
| spl675_37 ),
inference(sat_conversion,[],[f20494]) ).
cnf(s38,plain,
( spl675_19
| spl675_38 ),
inference(sat_conversion,[],[f20498]) ).
cnf(s58,plain,
spl675_36,
inference(sat_conversion,[],[f20714]) ).
cnf(s71,plain,
( spl675_19
| ~ spl675_38
| spl675_72 ),
inference(sat_conversion,[],[f20960]) ).
cnf(s72,plain,
( spl675_21
| ~ spl675_33
| ~ spl675_37
| spl675_73 ),
inference(sat_conversion,[],[f20964]) ).
cnf(s105,plain,
( spl675_19
| ~ spl675_38
| spl675_101 ),
inference(sat_conversion,[],[f21527]) ).
cnf(s106,plain,
( spl675_21
| ~ spl675_33
| ~ spl675_37
| spl675_102 ),
inference(sat_conversion,[],[f21531]) ).
cnf(s107,plain,
( ~ spl675_72
| ~ spl675_73
| ~ spl675_101
| ~ spl675_102 ),
inference(sat_conversion,[],[f21552]) ).
cnf(s119,plain,
spl675_33,
inference(rat,[],[s36,s58]) ).
cnf(s131,plain,
spl675_38,
inference(rat,[],[s38,s21]) ).
cnf(s134,plain,
spl675_101,
inference(rat,[],[s105,s21,s131]) ).
cnf(s138,plain,
spl675_72,
inference(rat,[],[s71,s21,s131]) ).
cnf(s154,plain,
spl675_37,
inference(rat,[],[s37,s19]) ).
cnf(s164,plain,
spl675_102,
inference(rat,[],[s106,s19,s119,s154]) ).
cnf(s165,plain,
spl675_73,
inference(rat,[],[s72,s19,s119,s154]) ).
cnf(s166,plain,
$false,
inference(rat,[],[s107,s138,s134,s164,s165]) ).
fof(f21553,plain,
$false,
inference(avatar_sat_refutation,[],[s166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP047+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:06:27 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.89/2.90 % (77760)Detected formulas, will run a generic FOF schedule.
% 11.89/2.90 % (77770)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2746870197:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 11.89/2.90 % (77770)Instruction limit reached!
% 11.89/2.90 % (77770)------------------------------
% 11.89/2.90 % (77770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.90 % (77770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.90 % (77770)CaDiCaL version: 2.1.3
% 11.89/2.90 % (77770)Termination reason: Instruction limit
% 11.89/2.90 % (77770)Termination phase: SInE selection
% 11.89/2.90 % (77770)Time elapsed: 0.040 s
% 11.89/2.90 % (77770)Peak memory usage: 96 MB
% 11.89/2.90 % (77770)Instructions burned: 141 (million)
% 11.89/2.90 % (77771)dis-21_1_sil=8000:lcm=predicate:random_seed=4053945492:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 11.89/2.90 % (77769)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1591529566:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 11.89/2.90 % (77767)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=2036876754:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 11.89/2.90 % (77765)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=3551529533:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 11.89/2.90 % (77768)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3655085934:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 11.89/2.90 % (77766)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=3637102326:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 11.89/2.90 % (77768)Instruction limit reached!
% 11.89/2.90 % (77768)------------------------------
% 11.89/2.90 % (77768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.90 % (77768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.90 % (77768)CaDiCaL version: 2.1.3
% 11.89/2.90 % (77768)Termination reason: Instruction limit
% 11.89/2.90 % (77768)Termination phase: Saturation
% 11.89/2.90 % (77768)Time elapsed: 0.077 s
% 11.89/2.90 % (77768)Peak memory usage: 100 MB
% 11.89/2.90 % (77768)Instructions burned: 110 (million)
% 11.89/2.90 % (77769)Instruction limit reached!
% 11.89/2.90 % (77769)------------------------------
% 11.89/2.90 % (77769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.90 % (77769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.90 % (77769)CaDiCaL version: 2.1.3
% 11.89/2.90 % (77769)Termination reason: Instruction limit
% 11.89/2.90 % (77769)Termination phase: Property scanning
% 11.89/2.90 % (77769)Time elapsed: 0.092 s
% 11.89/2.90 % (77769)Peak memory usage: 100 MB
% 11.89/2.90 % (77769)Instructions burned: 121 (million)
% 11.89/2.90 % (77771)Instruction limit reached!
% 11.89/2.90 % (77771)------------------------------
% 11.89/2.90 % (77771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.90 % (77771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.90 % (77771)CaDiCaL version: 2.1.3
% 11.89/2.90 % (77771)Termination reason: Instruction limit
% 11.89/2.90 % (77771)Termination phase: Unused predicate definition removal
% 11.89/2.90 % (77771)Time elapsed: 0.097 s
% 11.89/2.90 % (77771)Peak memory usage: 97 MB
% 11.89/2.90 % (77771)Instructions burned: 129 (million)
% 11.89/2.90 % (77773)lrs+10_1_sil=8000:sp=occurrence:random_seed=1356451112:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 11.89/2.90 % (77773)Instruction limit reached!
% 11.89/2.90 % (77773)------------------------------
% 11.89/2.90 % (77773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.90 % (77773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.90 % (77773)CaDiCaL version: 2.1.3
% 11.89/2.90 % (77773)Termination reason: Instruction limit
% 11.89/2.90 % (77773)Termination phase: Saturation
% 11.89/2.90 % (77773)Time elapsed: 0.109 s
% 11.89/2.90 % (77773)Peak memory usage: 104 MB
% 11.89/2.90 % (77773)Instructions burned: 288 (million)
% 11.89/2.90 % (77780)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3604476595:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 10.71/3.73 % (77782)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=3970436600:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 10.71/3.73 % (77781)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3411007565:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 10.71/3.73 % (77781)Refutation not found, incomplete strategy
% 10.71/3.73 % (77781)------------------------------
% 10.71/3.73 % (77781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77781)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77781)Termination reason: Refutation not found, incomplete strategy
% 10.71/3.73 % (77781)Time elapsed: 0.050 s
% 10.71/3.73 % (77781)Peak memory usage: 100 MB
% 10.71/3.73 % (77781)Instructions burned: 62 (million)
% 10.71/3.73 % (77780)Instruction limit reached!
% 10.71/3.73 % (77780)------------------------------
% 10.71/3.73 % (77780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77780)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77780)Termination reason: Instruction limit
% 10.71/3.73 % (77780)Termination phase: Preprocessing 3
% 10.71/3.73 % (77780)Time elapsed: 0.089 s
% 10.71/3.73 % (77780)Peak memory usage: 97 MB
% 10.71/3.73 % (77780)Instructions burned: 158 (million)
% 10.71/3.73 % (77782)Instruction limit reached!
% 10.71/3.73 % (77782)------------------------------
% 10.71/3.73 % (77782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77782)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77782)Termination reason: Instruction limit
% 10.71/3.73 % (77782)Termination phase: Unused predicate definition removal
% 10.71/3.73 % (77782)Time elapsed: 0.082 s
% 10.71/3.73 % (77782)Peak memory usage: 98 MB
% 10.71/3.73 % (77782)Instructions burned: 248 (million)
% 10.71/3.73 % (77785)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1088312738:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 10.71/3.73 % (77789)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=682077012:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 10.71/3.73 % (77788)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2613480358:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 10.71/3.73 % (77789)Instruction limit reached!
% 10.71/3.73 % (77789)------------------------------
% 10.71/3.73 % (77789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77789)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77789)Termination reason: Instruction limit
% 10.71/3.73 % (77789)Termination phase: Preprocessing 3
% 10.71/3.73 % (77789)Time elapsed: 0.052 s
% 10.71/3.73 % (77789)Peak memory usage: 100 MB
% 10.71/3.73 % (77789)Instructions burned: 115 (million)
% 10.71/3.73 % (77781)------------------------------
% 10.71/3.73 % (77781)------------------------------
% 10.71/3.73 % (77785)Instruction limit reached!
% 10.71/3.73 % (77785)------------------------------
% 10.71/3.73 % (77785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77785)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77785)Termination reason: Instruction limit
% 10.71/3.73 % (77785)Termination phase: Property scanning
% 10.71/3.73 % (77785)Time elapsed: 0.178 s
% 10.71/3.73 % (77785)Peak memory usage: 103 MB
% 10.71/3.73 % (77785)Instructions burned: 294 (million)
% 10.71/3.73 % (77793)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2892824371:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 10.71/3.73 % (77793)Instruction limit reached!
% 10.71/3.73 % (77793)------------------------------
% 10.71/3.73 % (77793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77793)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77793)Termination reason: Instruction limit
% 10.71/3.73 % (77793)Termination phase: Naming
% 10.71/3.73 % (77793)Time elapsed: 0.062 s
% 10.71/3.73 % (77793)Peak memory usage: 105 MB
% 10.71/3.73 % (77793)Instructions burned: 128 (million)
% 10.71/3.73 % (77794)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2487128239:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 10.71/3.73 % (77794)Instruction limit reached!
% 10.71/3.73 % (77794)------------------------------
% 10.71/3.73 % (77794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77794)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77794)Termination reason: Instruction limit
% 10.71/3.73 % (77794)Termination phase: Initialization
% 10.71/3.73 % (77794)Time elapsed: 0.050 s
% 10.71/3.73 % (77794)Peak memory usage: 95 MB
% 10.71/3.73 % (77794)Instructions burned: 116 (million)
% 10.71/3.73 % (77795)lrs+10_1_sil=8000:sp=occurrence:random_seed=960323645:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 10.71/3.73 % (77797)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3292406415:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 10.71/3.73 % (77800)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1430744268:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 10.71/3.73 % (77797)Instruction limit reached!
% 10.71/3.73 % (77797)------------------------------
% 10.71/3.73 % (77797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77797)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77797)Termination reason: Instruction limit
% 10.71/3.73 % (77797)Termination phase: Saturation
% 10.71/3.73 % (77797)Time elapsed: 0.138 s
% 10.71/3.73 % (77797)Peak memory usage: 103 MB
% 10.71/3.73 % (77797)Instructions burned: 437 (million)
% 10.71/3.73 % (77803)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1477300310:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 10.71/3.73 % (77803)Instruction limit reached!
% 10.71/3.73 % (77803)------------------------------
% 10.71/3.73 % (77803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77803)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77803)Termination reason: Instruction limit
% 10.71/3.73 % (77803)Termination phase: Saturation
% 10.71/3.73 % (77803)Time elapsed: 0.053 s
% 10.71/3.73 % (77803)Peak memory usage: 102 MB
% 10.71/3.73 % (77803)Instructions burned: 136 (million)
% 10.71/3.73 % (77805)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1575826910:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 10.71/3.73 % (77795)Instruction limit reached!
% 10.71/3.73 % (77795)------------------------------
% 10.71/3.73 % (77795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77795)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77795)Termination reason: Instruction limit
% 10.71/3.73 % (77795)Termination phase: Saturation
% 10.71/3.73 % (77795)Time elapsed: 0.548 s
% 10.71/3.73 % (77795)Peak memory usage: 116 MB
% 10.71/3.73 % (77795)Instructions burned: 907 (million)
% 10.71/3.73 % (77805)Instruction limit reached!
% 10.71/3.73 % (77805)------------------------------
% 10.71/3.73 % (77805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77805)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77805)Termination reason: Instruction limit
% 10.71/3.73 % (77805)Termination phase: Function definition elimination
% 10.71/3.73 % (77805)Time elapsed: 0.215 s
% 10.71/3.73 % (77805)Peak memory usage: 114 MB
% 10.71/3.73 % (77805)Instructions burned: 594 (million)
% 10.71/3.73 % (77807)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1656503453:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 10.71/3.73 % (77809)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=1337260869:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 10.71/3.73 % (77809)Instruction limit reached!
% 10.71/3.73 % (77809)------------------------------
% 10.71/3.73 % (77809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77809)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77809)Termination reason: Instruction limit
% 10.71/3.73 % (77809)Termination phase: SInE selection
% 10.71/3.73 % (77809)Time elapsed: 0.033 s
% 10.71/3.73 % (77809)Peak memory usage: 96 MB
% 10.71/3.73 % (77809)Instructions burned: 125 (million)
% 10.71/3.73 % (77811)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3279864602:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 10.71/3.73 % (77811)Instruction limit reached!
% 10.71/3.73 % (77811)------------------------------
% 10.71/3.73 % (77811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77811)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77811)Termination reason: Instruction limit
% 10.71/3.73 % (77811)Termination phase: Initialization
% 10.71/3.73 % (77811)Time elapsed: 0.034 s
% 10.71/3.73 % (77811)Peak memory usage: 95 MB
% 10.71/3.73 % (77811)Instructions burned: 134 (million)
% 10.71/3.73 % (77813)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1097361921:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 10.71/3.73 % (77813)Refutation not found, incomplete strategy
% 10.71/3.73 % (77813)------------------------------
% 10.71/3.73 % (77813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77813)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77813)Termination reason: Refutation not found, incomplete strategy
% 10.71/3.73 % (77813)Time elapsed: 0.027 s
% 10.71/3.73 % (77813)Peak memory usage: 100 MB
% 10.71/3.73 % (77813)Instructions burned: 56 (million)
% 10.71/3.73 % (77813)------------------------------
% 10.71/3.73 % (77813)------------------------------
% 10.71/3.73 % (77788)Instruction limit reached!
% 10.71/3.73 % (77788)------------------------------
% 10.71/3.73 % (77788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77788)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77788)Termination reason: Instruction limit
% 10.71/3.73 % (77788)Termination phase: Saturation
% 10.71/3.73 % (77788)Time elapsed: 1.656 s
% 10.71/3.73 % (77788)Peak memory usage: 277 MB
% 10.71/3.73 % (77788)Instructions burned: 2351 (million)
% 10.71/3.73 % (77766)First to succeed.
% 10.71/3.73 % (77766)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-77760"
% 10.71/3.73 % (77815)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2743422005:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 10.71/3.73 % (77815)Refutation not found, incomplete strategy
% 10.71/3.73 % (77815)------------------------------
% 10.71/3.73 % (77815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/3.73 % (77815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/3.73 % (77815)CaDiCaL version: 2.1.3
% 10.71/3.73 % (77815)Termination reason: Refutation not found, incomplete strategy
% 10.71/3.73 % (77815)Time elapsed: 0.028 s
% 10.71/3.73 % (77815)Peak memory usage: 100 MB
% 10.71/3.73 % (77815)Instructions burned: 55 (million)
% 10.71/3.73 % (77816)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=3526349664:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 10.71/3.73 % (77766)Refutation found. Thanks to Tanya!
% 10.71/3.73 % SZS status Theorem for theBenchmark
% 10.71/3.73 % SZS output start Proof for theBenchmark
% See solution above
% 19.60/3.96 % (77766)------------------------------
% 19.60/3.96 % (77766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.60/3.96 % (77766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.60/3.96 % (77766)CaDiCaL version: 2.1.3
% 19.60/3.96 % (77766)Termination reason: Refutation
% 19.60/3.96 % (77766)Time elapsed: 2.153 s
% 19.60/3.96 % (77766)Peak memory usage: 208 MB
% 19.60/3.96 % (77766)Instructions burned: 3386 (million)
% 19.60/3.96 % (77766)------------------------------
% 19.60/3.96 % (77766)------------------------------
% 19.60/3.96 % (77760)Success in time 3.055 s
% 19.60/3.96 % Vampire exiting
%------------------------------------------------------------------------------