%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU414+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 : n009.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 12:48:49 PM UTC 2026
% Result : Theorem 11.92s 3.03s
% Output : Refutation 14.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 28
% Syntax : Number of formulae : 270 ( 37 unt; 9 def)
% Number of atoms : 1224 ( 75 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1672 ( 718 ~; 766 |; 130 &)
% ( 20 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 10 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-6 aty)
% Number of variables : 374 ( 0 sgn 363 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f21,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f32,axiom,
! [X0,X1,X2] :
( X2 = k4_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f105,axiom,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(f110,axiom,
! [X0,X1,X2] : k4_xboole_0(k4_xboole_0(X0,X1),X2) = k4_xboole_0(X0,k2_xboole_0(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f444,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f446,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f3169,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r1_orders_2(X0,X1,X2)
<=> r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f3195,axiom,
! [X0] :
( ( v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r1_orders_2(X0,X1,X2)
& r1_orders_2(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_orders_2) ).
fof(f3749,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v4_orders_2(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r1_orders_2(X0,X1,X2)
& r1_orders_2(X0,X2,X1) )
=> X1 = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_yellow_0) ).
fof(f4433,axiom,
! [X0,X1] :
( ( l1_orders_2(X0)
& l1_orders_2(X1) )
=> ( v1_orders_2(k1_latsum_1(X0,X1))
& l1_orders_2(k1_latsum_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
fof(f4436,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( ( v1_orders_2(X2)
& l1_orders_2(X2) )
=> ( X2 = k1_latsum_1(X0,X1)
<=> ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_latsum_1) ).
fof(f4441,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X0))
& r1_latsum_1(X0,X1)
& v3_orders_2(X0) )
=> r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_latsum_1) ).
fof(f4442,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& r2_hidden(X2,u1_struct_0(X1))
& r2_hidden(X3,u1_struct_0(X1))
& r1_latsum_1(X0,X1)
& v3_orders_2(X1) )
=> r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_latsum_1) ).
fof(f4454,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& r2_hidden(X2,u1_struct_0(X1)) )
=> r2_hidden(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_latsum_1) ).
fof(f4455,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( ( v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& r2_hidden(X2,u1_struct_0(X1)) )
=> r2_hidden(X3,u1_struct_0(X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_latsum_1) ).
fof(f4459,axiom,
! [X0,X1,X2] :
( l1_orders_2(X2)
=> ! [X3] :
( l1_orders_2(X3)
=> ~ ( r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
& ~ ( r2_hidden(X0,u1_struct_0(X2))
& r2_hidden(X1,u1_struct_0(X2)) )
& ~ ( r2_hidden(X0,u1_struct_0(X3))
& r2_hidden(X1,u1_struct_0(X3)) )
& ~ ( r2_hidden(X0,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3)))
& r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsum_1) ).
fof(f4461,conjecture,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( ( r1_latsum_1(X0,X1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v3_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X1)
& v4_orders_2(X1) )
=> v4_orders_2(k1_latsum_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsum_1) ).
fof(f4462,negated_conjecture,
~ ! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( ( r1_latsum_1(X0,X1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v3_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X1)
& v4_orders_2(X1) )
=> v4_orders_2(k1_latsum_1(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f4461]) ).
fof(f4486,plain,
! [X0,X1] :
( ( v1_orders_2(k1_latsum_1(X0,X1))
& l1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(ennf_transformation,[],[f4433]) ).
fof(f4487,plain,
! [X0,X1] :
( ( v1_orders_2(k1_latsum_1(X0,X1))
& l1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(flattening,[],[f4486]) ).
fof(f4491,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_latsum_1(X0,X1)
<=> ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f4436]) ).
fof(f4492,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_latsum_1(X0,X1)
<=> ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4491]) ).
fof(f4500,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f4441]) ).
fof(f4501,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4500]) ).
fof(f4502,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f4442]) ).
fof(f4503,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4502]) ).
fof(f4525,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f4454]) ).
fof(f4526,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4525]) ).
fof(f4527,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f4455]) ).
fof(f4528,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4527]) ).
fof(f4535,plain,
! [X0,X1,X2] :
( ! [X3] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
| ( r2_hidden(X0,u1_struct_0(X2))
& r2_hidden(X1,u1_struct_0(X2)) )
| ( r2_hidden(X0,u1_struct_0(X3))
& r2_hidden(X1,u1_struct_0(X3)) )
| ( r2_hidden(X0,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3)))
& r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2))) )
| ~ l1_orders_2(X3) )
| ~ l1_orders_2(X2) ),
inference(ennf_transformation,[],[f4459]) ).
fof(f4536,plain,
! [X0,X1,X2] :
( ! [X3] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
| ( r2_hidden(X0,u1_struct_0(X2))
& r2_hidden(X1,u1_struct_0(X2)) )
| ( r2_hidden(X0,u1_struct_0(X3))
& r2_hidden(X1,u1_struct_0(X3)) )
| ( r2_hidden(X0,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3)))
& r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2))) )
| ~ l1_orders_2(X3) )
| ~ l1_orders_2(X2) ),
inference(flattening,[],[f4535]) ).
fof(f4539,plain,
? [X0] :
( ? [X1] :
( ~ v4_orders_2(k1_latsum_1(X0,X1))
& r1_latsum_1(X0,X1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v3_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f4462]) ).
fof(f4540,plain,
? [X0] :
( ? [X1] :
( ~ v4_orders_2(k1_latsum_1(X0,X1))
& r1_latsum_1(X0,X1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v3_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
& l1_orders_2(X0) ),
inference(flattening,[],[f4539]) ).
fof(f4545,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f444]) ).
fof(f4668,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_orders_2(X0,X1,X2)
<=> r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3169]) ).
fof(f4698,plain,
! [X0] :
( ( v4_orders_2(X0)
<=> ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3749]) ).
fof(f4699,plain,
! [X0] :
( ( v4_orders_2(X0)
<=> ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4698]) ).
fof(f4710,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3195]) ).
fof(f4711,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4710]) ).
fof(f5634,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k1_latsum_1(X0,X1)
| u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) )
& ( ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) )
| k1_latsum_1(X0,X1) != X2 ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f4492]) ).
fof(f5635,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k1_latsum_1(X0,X1)
| u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) )
& ( ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) )
| k1_latsum_1(X0,X1) != X2 ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f5634]) ).
fof(f5642,plain,
( ~ v4_orders_2(k1_latsum_1(sK11,sK12))
& r1_latsum_1(sK11,sK12)
& v13_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK11)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),k1_zfmisc_1(u1_struct_0(sK11)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK12)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),k1_zfmisc_1(u1_struct_0(sK12)))
& v3_orders_2(sK11)
& v4_orders_2(sK11)
& v3_orders_2(sK12)
& v4_orders_2(sK12)
& l1_orders_2(sK12)
& l1_orders_2(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f4540]) ).
fof(f5662,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f5663,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f5662]) ).
fof(f5664,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f5663]) ).
fof(f5665,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK22(X0,X1,X2),X0)
| r2_hidden(sK22(X0,X1,X2),X1)
| ~ r2_hidden(sK22(X0,X1,X2),X2) )
& ( ( r2_hidden(sK22(X0,X1,X2),X0)
& ~ r2_hidden(sK22(X0,X1,X2),X1) )
| r2_hidden(sK22(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X3,sK22(X0,X1,X2))],[f5664]) ).
fof(f5720,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_orders_2(X0,X1,X2)
| ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) )
& ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ r1_orders_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f4668]) ).
fof(f5730,plain,
! [X0] :
( ( ( v4_orders_2(X0)
| ? [X1] :
( ? [X2] :
( X1 != X2
& r1_orders_2(X0,X1,X2)
& r1_orders_2(X0,X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0) ) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f4699]) ).
fof(f5731,plain,
! [X0] :
( ( ( v4_orders_2(X0)
| ? [X1] :
( ? [X2] :
( X1 != X2
& r1_orders_2(X0,X1,X2)
& r1_orders_2(X0,X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( X3 = X4
| ~ r1_orders_2(X0,X3,X4)
| ~ r1_orders_2(X0,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v4_orders_2(X0) ) )
| ~ l1_orders_2(X0) ),
inference(rectify,[],[f5730]) ).
fof(f5732,plain,
! [X0] :
( ( ( v4_orders_2(X0)
| ( sK83(X0) != sK84(X0)
& r1_orders_2(X0,sK83(X0),sK84(X0))
& r1_orders_2(X0,sK84(X0),sK83(X0))
& m1_subset_1(sK84(X0),u1_struct_0(X0))
& m1_subset_1(sK83(X0),u1_struct_0(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( X3 = X4
| ~ r1_orders_2(X0,X3,X4)
| ~ r1_orders_2(X0,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v4_orders_2(X0) ) )
| ~ l1_orders_2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83,sK84]),skolemize(X1,sK83(X0)),skolemize(X2,sK84(X0))],[f5731]) ).
fof(f5745,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f446]) ).
fof(f6034,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f4487]) ).
fof(f6035,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f4487]) ).
fof(f6059,plain,
! [X2,X0,X1] :
( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| k1_latsum_1(X0,X1) != X2
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f5635]) ).
fof(f6068,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f4501]) ).
fof(f6069,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f4503]) ).
fof(f6089,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f4526]) ).
fof(f6090,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f4528]) ).
fof(f6094,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
| r2_hidden(X1,u1_struct_0(X2))
| r2_hidden(X1,u1_struct_0(X3))
| r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2)))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(cnf_transformation,[],[f4536]) ).
fof(f6098,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
| r2_hidden(X0,u1_struct_0(X2))
| r2_hidden(X1,u1_struct_0(X3))
| r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2)))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(cnf_transformation,[],[f4536]) ).
fof(f6103,plain,
l1_orders_2(sK11),
inference(cnf_transformation,[],[f5642]) ).
fof(f6104,plain,
l1_orders_2(sK12),
inference(cnf_transformation,[],[f5642]) ).
fof(f6105,plain,
v4_orders_2(sK12),
inference(cnf_transformation,[],[f5642]) ).
fof(f6106,plain,
v3_orders_2(sK12),
inference(cnf_transformation,[],[f5642]) ).
fof(f6107,plain,
v4_orders_2(sK11),
inference(cnf_transformation,[],[f5642]) ).
fof(f6108,plain,
v3_orders_2(sK11),
inference(cnf_transformation,[],[f5642]) ).
fof(f6111,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),k1_zfmisc_1(u1_struct_0(sK11))),
inference(cnf_transformation,[],[f5642]) ).
fof(f6112,plain,
v13_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK11),
inference(cnf_transformation,[],[f5642]) ).
fof(f6113,plain,
r1_latsum_1(sK11,sK12),
inference(cnf_transformation,[],[f5642]) ).
fof(f6114,plain,
~ v4_orders_2(k1_latsum_1(sK11,sK12)),
inference(cnf_transformation,[],[f5642]) ).
fof(f6128,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f4545]) ).
fof(f6232,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f6239,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,X1),X2) = k4_xboole_0(X0,k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f110]) ).
fof(f6245,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f105]) ).
fof(f6253,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f5665]) ).
fof(f6254,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f5665]) ).
fof(f6403,plain,
! [X2,X0,X1] :
( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f5720]) ).
fof(f6404,plain,
! [X2,X0,X1] :
( r1_orders_2(X0,X1,X2)
| ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f5720]) ).
fof(f6439,plain,
! [X0] :
( m1_subset_1(sK83(X0),u1_struct_0(X0))
| v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f5732]) ).
fof(f6440,plain,
! [X0] :
( m1_subset_1(sK84(X0),u1_struct_0(X0))
| v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f5732]) ).
fof(f6441,plain,
! [X0] :
( r1_orders_2(X0,sK84(X0),sK83(X0))
| v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f5732]) ).
fof(f6442,plain,
! [X0] :
( r1_orders_2(X0,sK83(X0),sK84(X0))
| v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f5732]) ).
fof(f6443,plain,
! [X0] :
( sK83(X0) != sK84(X0)
| v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f5732]) ).
fof(f6475,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,X1,X2)
| X1 = X2
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f4711]) ).
fof(f6481,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f5745]) ).
fof(f7722,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f21]) ).
fof(f7723,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f7736,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)),u1_orders_2(X0))
| ~ r2_hidden(k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f6068,f7723,f7723]) ).
fof(f7737,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)),u1_orders_2(X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f6069,f7723,f7723]) ).
fof(f7744,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(X1))),X0)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(X1))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f6089,f6232,f6232,f7723]) ).
fof(f7745,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X2,u1_struct_0(X1))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(X1))),X0)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(X1))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| r2_hidden(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f6090,f6232,f6232]) ).
fof(f7752,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),X2)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),k1_zfmisc_1(u1_struct_0(X2)))
| r2_hidden(X0,u1_struct_0(X2))
| r2_hidden(X1,u1_struct_0(X3))
| r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2)))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(definition_unfolding,[],[f6098,f7723,f6232,f6232]) ).
fof(f7756,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),X2)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),k1_zfmisc_1(u1_struct_0(X2)))
| r2_hidden(X1,u1_struct_0(X2))
| r2_hidden(X1,u1_struct_0(X3))
| r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2)))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(definition_unfolding,[],[f6094,f7723,f6232,f6232]) ).
fof(f7758,plain,
v13_waybel_0(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),sK11),
inference(definition_unfolding,[],[f6112,f6232]) ).
fof(f7759,plain,
m1_subset_1(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),k1_zfmisc_1(u1_struct_0(sK11))),
inference(definition_unfolding,[],[f6111,f6232]) ).
fof(f7908,plain,
! [X2,X0,X1] :
( r1_orders_2(X0,X1,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),u1_orders_2(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f6404,f7723]) ).
fof(f7909,plain,
! [X2,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),u1_orders_2(X0))
| ~ r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f6403,f7723]) ).
fof(f8051,plain,
! [X0,X1] :
( ~ v1_orders_2(k1_latsum_1(X0,X1))
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f6059]) ).
fof(f8073,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X0)
| r2_hidden(X4,k4_xboole_0(X0,X1))
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f6254]) ).
fof(f8074,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,k4_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f6253]) ).
fof(f8302,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,X1,X2)
| r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)),u1_orders_2(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(forward_demodulation,[],[f7909,f7722]) ).
fof(f8303,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)),u1_orders_2(X0))
| r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(forward_demodulation,[],[f7908,f7722]) ).
fof(f8404,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),X2)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),k1_zfmisc_1(u1_struct_0(X2)))
| r2_hidden(X1,u1_struct_0(X2))
| r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2)))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(forward_subsumption_resolution,[],[f7756,f8073]) ).
fof(f8408,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),X2)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),k1_zfmisc_1(u1_struct_0(X2)))
| r2_hidden(X0,u1_struct_0(X2))
| r2_hidden(X1,u1_struct_0(X3))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(forward_subsumption_resolution,[],[f7752,f8074]) ).
fof(f8414,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)),u1_orders_2(k1_latsum_1(X0,X1)))
| r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(X1))),X0)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(X1))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_demodulation,[],[f7744,f7722]) ).
fof(f8424,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)),u1_orders_2(X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_demodulation,[],[f7737,f7722]) ).
fof(f8425,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)),u1_orders_2(X0))
| ~ r2_hidden(k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_demodulation,[],[f7736,f7722]) ).
fof(f8502,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),X2)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),k1_zfmisc_1(u1_struct_0(X2)))
| r2_hidden(X1,u1_struct_0(X2))
| r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2)))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(forward_demodulation,[],[f8404,f7722]) ).
fof(f8503,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),X2)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),k1_zfmisc_1(u1_struct_0(X2)))
| r2_hidden(X0,u1_struct_0(X2))
| r2_hidden(X1,u1_struct_0(X3))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(forward_demodulation,[],[f8408,f7722]) ).
fof(f8516,plain,
! [X2,X3,X0,X1] :
( ~ r1_latsum_1(X0,X1)
| r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)),u1_orders_2(X1))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_demodulation,[],[f8424,f7722]) ).
fof(f8517,plain,
! [X2,X3,X0,X1] :
( ~ r1_latsum_1(X0,X1)
| r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)),u1_orders_2(X0))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_demodulation,[],[f8425,f7722]) ).
fof(f8558,plain,
! [X0,X1] :
( k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(resolution,[],[f8051,f6035]) ).
fof(f8559,plain,
! [X0,X1] :
( k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f8558]) ).
fof(f8560,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f8559,f6034]) ).
fof(f8563,plain,
! [X0] :
( ~ l1_orders_2(X0)
| k2_xboole_0(u1_struct_0(sK11),u1_struct_0(X0)) = u1_struct_0(k1_latsum_1(sK11,X0)) ),
inference(resolution,[],[f8560,f6103]) ).
fof(f8570,plain,
u1_struct_0(k1_latsum_1(sK11,sK12)) = k2_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),
inference(resolution,[],[f8563,f6104]) ).
fof(f8671,plain,
! [X0] :
( v4_orders_2(X0)
| ~ l1_orders_2(X0)
| r2_hidden(k2_tarski(k1_tarski(sK84(X0)),k2_tarski(sK84(X0),sK83(X0))),u1_orders_2(X0))
| ~ m1_subset_1(sK83(X0),u1_struct_0(X0))
| ~ m1_subset_1(sK84(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f6441,f8302]) ).
fof(f8672,plain,
! [X0] :
( v4_orders_2(X0)
| ~ l1_orders_2(X0)
| r2_hidden(k2_tarski(k1_tarski(sK84(X0)),k2_tarski(sK84(X0),sK83(X0))),u1_orders_2(X0))
| ~ m1_subset_1(sK83(X0),u1_struct_0(X0))
| ~ m1_subset_1(sK84(X0),u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f8671]) ).
fof(f8673,plain,
! [X0] :
( v4_orders_2(X0)
| ~ l1_orders_2(X0)
| r2_hidden(k2_tarski(k1_tarski(sK84(X0)),k2_tarski(sK84(X0),sK83(X0))),u1_orders_2(X0))
| ~ m1_subset_1(sK84(X0),u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f8672,f6439]) ).
fof(f8674,plain,
! [X0] :
( v4_orders_2(X0)
| ~ l1_orders_2(X0)
| r2_hidden(k2_tarski(k1_tarski(sK84(X0)),k2_tarski(sK84(X0),sK83(X0))),u1_orders_2(X0)) ),
inference(forward_subsumption_resolution,[],[f8673,f6440]) ).
fof(f8675,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v4_orders_2(X0)
| r2_hidden(k2_tarski(k1_tarski(sK84(X0)),k2_tarski(sK83(X0),sK84(X0))),u1_orders_2(X0)) ),
inference(forward_demodulation,[],[f8674,f7722]) ).
fof(f8676,plain,
! [X0] :
( v4_orders_2(X0)
| ~ l1_orders_2(X0)
| r2_hidden(k2_tarski(k1_tarski(sK83(X0)),k2_tarski(sK83(X0),sK84(X0))),u1_orders_2(X0))
| ~ m1_subset_1(sK84(X0),u1_struct_0(X0))
| ~ m1_subset_1(sK83(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f6442,f8302]) ).
fof(f8677,plain,
! [X0] :
( v4_orders_2(X0)
| ~ l1_orders_2(X0)
| r2_hidden(k2_tarski(k1_tarski(sK83(X0)),k2_tarski(sK83(X0),sK84(X0))),u1_orders_2(X0))
| ~ m1_subset_1(sK84(X0),u1_struct_0(X0))
| ~ m1_subset_1(sK83(X0),u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f8676]) ).
fof(f8678,plain,
! [X0] :
( v4_orders_2(X0)
| ~ l1_orders_2(X0)
| r2_hidden(k2_tarski(k1_tarski(sK83(X0)),k2_tarski(sK83(X0),sK84(X0))),u1_orders_2(X0))
| ~ m1_subset_1(sK83(X0),u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f8677,f6440]) ).
fof(f8679,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v4_orders_2(X0)
| r2_hidden(k2_tarski(k1_tarski(sK83(X0)),k2_tarski(sK83(X0),sK84(X0))),u1_orders_2(X0)) ),
inference(forward_subsumption_resolution,[],[f8678,f6439]) ).
fof(f8690,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X2)
| r1_orders_2(X2,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X0,X1)),u1_orders_2(X2)) ),
inference(superposition,[],[f8303,f7722]) ).
fof(f8735,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(sK11))
| ~ r2_hidden(X0,u1_struct_0(sK11))
| ~ r2_hidden(X1,u1_struct_0(sK11))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(k1_latsum_1(sK11,sK12)))
| ~ v3_orders_2(sK11)
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(resolution,[],[f8517,f6113]) ).
fof(f8736,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(sK11))
| ~ r2_hidden(X0,u1_struct_0(sK11))
| ~ r2_hidden(X1,u1_struct_0(sK11))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(k1_latsum_1(sK11,sK12)))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f8735,f6108]) ).
fof(f8737,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(sK11))
| ~ r2_hidden(X0,u1_struct_0(sK11))
| ~ r2_hidden(X1,u1_struct_0(sK11))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(k1_latsum_1(sK11,sK12)))
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f8736,f6104]) ).
fof(f8738,plain,
! [X0,X1] :
( ~ r2_hidden(X1,u1_struct_0(sK11))
| ~ r2_hidden(X0,u1_struct_0(sK11))
| r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(sK11))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(k1_latsum_1(sK11,sK12))) ),
inference(forward_subsumption_resolution,[],[f8737,f6103]) ).
fof(f8739,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(sK12))
| ~ r2_hidden(X0,u1_struct_0(sK12))
| ~ r2_hidden(X1,u1_struct_0(sK12))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(k1_latsum_1(sK11,sK12)))
| ~ v3_orders_2(sK12)
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(resolution,[],[f8516,f6113]) ).
fof(f8740,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(sK12))
| ~ r2_hidden(X0,u1_struct_0(sK12))
| ~ r2_hidden(X1,u1_struct_0(sK12))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(k1_latsum_1(sK11,sK12)))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f8739,f6106]) ).
fof(f8741,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(sK12))
| ~ r2_hidden(X0,u1_struct_0(sK12))
| ~ r2_hidden(X1,u1_struct_0(sK12))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(k1_latsum_1(sK11,sK12)))
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f8740,f6104]) ).
fof(f8742,plain,
! [X0,X1] :
( ~ r2_hidden(X1,u1_struct_0(sK12))
| ~ r2_hidden(X0,u1_struct_0(sK12))
| r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(sK12))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),u1_orders_2(k1_latsum_1(sK11,sK12))) ),
inference(forward_subsumption_resolution,[],[f8741,f6103]) ).
fof(f9108,plain,
! [X0,X1] : m1_subset_1(k4_xboole_0(X0,X1),k1_zfmisc_1(X0)),
inference(resolution,[],[f6481,f6245]) ).
fof(f9273,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(X0,X1))),k2_tarski(sK83(k1_latsum_1(X0,X1)),sK84(k1_latsum_1(X0,X1)))),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(resolution,[],[f8675,f6034]) ).
fof(f9277,plain,
! [X0] :
( ~ l1_orders_2(X0)
| r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(X0,sK12))),k2_tarski(sK83(k1_latsum_1(X0,sK12)),sK84(k1_latsum_1(X0,sK12)))),u1_orders_2(k1_latsum_1(X0,sK12)))
| v4_orders_2(k1_latsum_1(X0,sK12)) ),
inference(resolution,[],[f9273,f6104]) ).
fof(f9281,plain,
( r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12)))
| v4_orders_2(k1_latsum_1(sK11,sK12)) ),
inference(resolution,[],[f9277,f6103]) ).
fof(f9282,plain,
r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12))),
inference(forward_subsumption_resolution,[],[f9281,f6114]) ).
fof(f9308,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| r2_hidden(k2_tarski(k1_tarski(sK83(k1_latsum_1(X0,X1))),k2_tarski(sK83(k1_latsum_1(X0,X1)),sK84(k1_latsum_1(X0,X1)))),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(resolution,[],[f8679,f6034]) ).
fof(f9312,plain,
! [X0] :
( ~ l1_orders_2(X0)
| r2_hidden(k2_tarski(k1_tarski(sK83(k1_latsum_1(X0,sK12))),k2_tarski(sK83(k1_latsum_1(X0,sK12)),sK84(k1_latsum_1(X0,sK12)))),u1_orders_2(k1_latsum_1(X0,sK12)))
| v4_orders_2(k1_latsum_1(X0,sK12)) ),
inference(resolution,[],[f9308,f6104]) ).
fof(f9316,plain,
( r2_hidden(k2_tarski(k1_tarski(sK83(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12)))
| v4_orders_2(k1_latsum_1(sK11,sK12)) ),
inference(resolution,[],[f9312,f6103]) ).
fof(f9317,plain,
r2_hidden(k2_tarski(k1_tarski(sK83(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12))),
inference(forward_subsumption_resolution,[],[f9316,f6114]) ).
fof(f10595,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),sK11)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),k1_zfmisc_1(u1_struct_0(sK11)))
| ~ r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(resolution,[],[f9317,f8414]) ).
fof(f10596,plain,
( ~ v13_waybel_0(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),sK11)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),k1_zfmisc_1(u1_struct_0(sK11)))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),k4_xboole_0(u1_struct_0(sK12),u1_struct_0(sK11)))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(resolution,[],[f9317,f8502]) ).
fof(f10597,plain,
( ~ v13_waybel_0(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),sK11)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),k1_zfmisc_1(u1_struct_0(sK11)))
| r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(resolution,[],[f9317,f8503]) ).
fof(f10607,definition,
( spl269_118
<=> l1_orders_2(k1_latsum_1(sK11,sK12)) ),
introduced(definition,[new_symbols(definition,[spl269_118])],[avatar_definition]) ).
fof(f10608,plain,
( ~ l1_orders_2(k1_latsum_1(sK11,sK12))
| spl269_118 ),
inference(avatar_component_clause,[],[f10607]) ).
fof(f10620,plain,
( ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),k1_zfmisc_1(u1_struct_0(sK11)))
| r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f10597,f7758]) ).
fof(f10621,plain,
( ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),k1_zfmisc_1(u1_struct_0(sK11)))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),k4_xboole_0(u1_struct_0(sK12),u1_struct_0(sK11)))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f10596,f7758]) ).
fof(f10622,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),k1_zfmisc_1(u1_struct_0(sK11)))
| ~ r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f10595,f7758]) ).
fof(f10629,plain,
( r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f10620,f7759]) ).
fof(f10630,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),k4_xboole_0(u1_struct_0(sK12),u1_struct_0(sK11)))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f10621,f7759]) ).
fof(f10631,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f10622,f7759]) ).
fof(f10638,plain,
( r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f10629,f6104]) ).
fof(f10639,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),k4_xboole_0(u1_struct_0(sK12),u1_struct_0(sK11)))
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f10630,f6104]) ).
fof(f10640,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(sK11) ),
inference(forward_subsumption_resolution,[],[f10631,f6104]) ).
fof(f10647,plain,
( r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12)) ),
inference(forward_subsumption_resolution,[],[f10638,f6103]) ).
fof(f10648,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),k4_xboole_0(u1_struct_0(sK12),u1_struct_0(sK11))) ),
inference(forward_subsumption_resolution,[],[f10639,f6103]) ).
fof(f10649,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12)) ),
inference(forward_subsumption_resolution,[],[f10640,f6103]) ).
fof(f10659,definition,
( spl269_123
<=> r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12)) ),
introduced(definition,[new_symbols(definition,[spl269_123])],[avatar_definition]) ).
fof(f10660,plain,
( r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ spl269_123 ),
inference(avatar_component_clause,[],[f10659]) ).
fof(f10663,definition,
( spl269_124
<=> r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12)) ),
introduced(definition,[new_symbols(definition,[spl269_124])],[avatar_definition]) ).
fof(f10664,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ spl269_124 ),
inference(avatar_component_clause,[],[f10663]) ).
fof(f10666,definition,
( spl269_125
<=> r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11)) ),
introduced(definition,[new_symbols(definition,[spl269_125])],[avatar_definition]) ).
fof(f10667,plain,
( r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| ~ spl269_125 ),
inference(avatar_component_clause,[],[f10666]) ).
fof(f10668,plain,
( spl269_124
| spl269_125 ),
inference(avatar_split_clause,[],[f10647,f10666,f10663]) ).
fof(f10670,definition,
( spl269_126
<=> r2_hidden(sK84(k1_latsum_1(sK11,sK12)),k4_xboole_0(u1_struct_0(sK12),u1_struct_0(sK11))) ),
introduced(definition,[new_symbols(definition,[spl269_126])],[avatar_definition]) ).
fof(f10671,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),k4_xboole_0(u1_struct_0(sK12),u1_struct_0(sK11)))
| ~ spl269_126 ),
inference(avatar_component_clause,[],[f10670]) ).
fof(f10673,definition,
( spl269_127
<=> r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11)) ),
introduced(definition,[new_symbols(definition,[spl269_127])],[avatar_definition]) ).
fof(f10674,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| ~ spl269_127 ),
inference(avatar_component_clause,[],[f10673]) ).
fof(f10675,plain,
( spl269_126
| spl269_127 ),
inference(avatar_split_clause,[],[f10648,f10673,f10670]) ).
fof(f10677,plain,
( ~ spl269_123
| spl269_124 ),
inference(avatar_split_clause,[],[f10649,f10663,f10659]) ).
fof(f10687,plain,
( ! [X0,X1] :
( ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(sK12))),X0)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(sK12))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_orders_2(k1_latsum_1(X0,sK12),sK84(k1_latsum_1(sK11,sK12)),X1)
| r2_hidden(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(X0,sK12)))
| ~ m1_subset_1(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(k1_latsum_1(X0,sK12)))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(X0) )
| ~ spl269_124 ),
inference(resolution,[],[f10664,f7745]) ).
fof(f10688,plain,
( m1_subset_1(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ spl269_124 ),
inference(resolution,[],[f10664,f6128]) ).
fof(f10694,plain,
( ! [X0,X1] :
( ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(sK12))),X0)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(sK12))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_orders_2(k1_latsum_1(X0,sK12),sK84(k1_latsum_1(sK11,sK12)),X1)
| r2_hidden(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(X0,sK12)))
| ~ m1_subset_1(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(k1_latsum_1(X0,sK12)))
| ~ l1_orders_2(X0) )
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f10687,f6104]) ).
fof(f10696,plain,
( ! [X0,X1] :
( ~ r1_orders_2(k1_latsum_1(X0,sK12),sK84(k1_latsum_1(sK11,sK12)),X1)
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(sK12))),X0)
| r2_hidden(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(X0,sK12)))
| ~ m1_subset_1(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(k1_latsum_1(X0,sK12)))
| ~ l1_orders_2(X0) )
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f10694,f9108]) ).
fof(f10715,plain,
( ~ l1_orders_2(sK11)
| ~ l1_orders_2(sK12)
| spl269_118 ),
inference(resolution,[],[f10608,f6034]) ).
fof(f10717,plain,
( ~ l1_orders_2(sK12)
| spl269_118 ),
inference(forward_subsumption_resolution,[],[f10715,f6103]) ).
fof(f10718,plain,
( $false
| spl269_118 ),
inference(forward_subsumption_resolution,[],[f10717,f6104]) ).
fof(f10719,plain,
spl269_118,
inference(avatar_contradiction_clause,[],[f10718]) ).
fof(f10727,plain,
( ~ v13_waybel_0(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),sK11)
| r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ m1_subset_1(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(k1_latsum_1(sK11,sK12)))
| ~ m1_subset_1(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(k1_latsum_1(sK11,sK12)))
| ~ l1_orders_2(sK11)
| v4_orders_2(k1_latsum_1(sK11,sK12))
| ~ l1_orders_2(k1_latsum_1(sK11,sK12))
| ~ spl269_124 ),
inference(resolution,[],[f10696,f6441]) ).
fof(f10728,plain,
( ~ v13_waybel_0(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),sK11)
| r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ m1_subset_1(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(k1_latsum_1(sK11,sK12)))
| ~ l1_orders_2(sK11)
| v4_orders_2(k1_latsum_1(sK11,sK12))
| ~ l1_orders_2(k1_latsum_1(sK11,sK12))
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f10727,f6439]) ).
fof(f10729,plain,
( ~ v13_waybel_0(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),sK11)
| r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(sK11)
| v4_orders_2(k1_latsum_1(sK11,sK12))
| ~ l1_orders_2(k1_latsum_1(sK11,sK12))
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f10728,f6440]) ).
fof(f10730,plain,
( r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(sK11)
| v4_orders_2(k1_latsum_1(sK11,sK12))
| ~ l1_orders_2(k1_latsum_1(sK11,sK12))
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f10729,f7758]) ).
fof(f10731,plain,
( r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| v4_orders_2(k1_latsum_1(sK11,sK12))
| ~ l1_orders_2(k1_latsum_1(sK11,sK12))
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f10730,f6103]) ).
fof(f10732,plain,
( r2_hidden(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(k1_latsum_1(sK11,sK12))
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f10731,f6114]) ).
fof(f10733,plain,
( ~ spl269_118
| spl269_123
| ~ spl269_124 ),
inference(avatar_split_clause,[],[f10732,f10663,f10659,f10607]) ).
fof(f10738,plain,
( m1_subset_1(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ spl269_123 ),
inference(resolution,[],[f10660,f6128]) ).
fof(f10768,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK11))
| r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,sK83(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK11))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,sK83(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12))) )
| ~ spl269_125 ),
inference(resolution,[],[f10667,f8738]) ).
fof(f10771,plain,
( m1_subset_1(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| ~ spl269_125 ),
inference(resolution,[],[f10667,f6128]) ).
fof(f10781,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK11))
| r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK11))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12))) )
| ~ spl269_127 ),
inference(resolution,[],[f10674,f8738]) ).
fof(f10784,plain,
( m1_subset_1(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| ~ spl269_127 ),
inference(resolution,[],[f10674,f6128]) ).
fof(f11552,plain,
( ! [X0] :
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),k4_xboole_0(k4_xboole_0(u1_struct_0(sK12),u1_struct_0(sK11)),X0))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),X0) )
| ~ spl269_126 ),
inference(resolution,[],[f8073,f10671]) ).
fof(f11553,plain,
( ! [X0] :
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),k4_xboole_0(u1_struct_0(sK12),k2_xboole_0(u1_struct_0(sK11),X0)))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),X0) )
| ~ spl269_126 ),
inference(forward_demodulation,[],[f11552,f6239]) ).
fof(f11673,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),k4_xboole_0(u1_struct_0(sK12),u1_struct_0(k1_latsum_1(sK11,sK12))))
| r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ spl269_126 ),
inference(superposition,[],[f11553,f8570]) ).
fof(f11680,plain,
( r2_hidden(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ spl269_126 ),
inference(forward_subsumption_resolution,[],[f11673,f8074]) ).
fof(f11712,plain,
( spl269_124
| ~ spl269_126 ),
inference(avatar_split_clause,[],[f11680,f10670,f10663]) ).
fof(f11736,plain,
( r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK11))
| ~ r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12)))
| ~ spl269_125
| ~ spl269_127 ),
inference(resolution,[],[f10768,f10674]) ).
fof(f11737,plain,
( r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK11))
| ~ r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12)))
| ~ spl269_125
| ~ spl269_127 ),
inference(forward_demodulation,[],[f11736,f7722]) ).
fof(f11746,plain,
( ~ r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12)))
| r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK11))
| ~ spl269_125
| ~ spl269_127 ),
inference(forward_demodulation,[],[f11737,f7722]) ).
fof(f11748,plain,
( r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK11))
| ~ spl269_125
| ~ spl269_127 ),
inference(forward_subsumption_resolution,[],[f11746,f9282]) ).
fof(f11766,plain,
( r2_hidden(k2_tarski(k1_tarski(sK83(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK11))
| ~ r2_hidden(k2_tarski(k1_tarski(sK83(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12)))
| ~ spl269_125
| ~ spl269_127 ),
inference(resolution,[],[f10781,f10667]) ).
fof(f11775,plain,
( r2_hidden(k2_tarski(k1_tarski(sK83(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK11))
| ~ spl269_125
| ~ spl269_127 ),
inference(forward_subsumption_resolution,[],[f11766,f9317]) ).
fof(f11781,plain,
( r1_orders_2(sK11,sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))
| ~ m1_subset_1(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| ~ m1_subset_1(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| ~ l1_orders_2(sK11)
| ~ spl269_125
| ~ spl269_127 ),
inference(resolution,[],[f11775,f8303]) ).
fof(f11789,plain,
( r1_orders_2(sK11,sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))
| ~ m1_subset_1(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| ~ l1_orders_2(sK11)
| ~ spl269_125
| ~ spl269_127 ),
inference(forward_subsumption_resolution,[],[f11781,f10784]) ).
fof(f11790,plain,
( r1_orders_2(sK11,sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))
| ~ l1_orders_2(sK11)
| ~ spl269_125
| ~ spl269_127 ),
inference(forward_subsumption_resolution,[],[f11789,f10771]) ).
fof(f11791,plain,
( r1_orders_2(sK11,sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))
| ~ spl269_125
| ~ spl269_127 ),
inference(forward_subsumption_resolution,[],[f11790,f6103]) ).
fof(f11793,plain,
( sK84(k1_latsum_1(sK11,sK12)) = sK83(k1_latsum_1(sK11,sK12))
| ~ r1_orders_2(sK11,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))
| ~ m1_subset_1(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| ~ m1_subset_1(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| ~ v4_orders_2(sK11)
| ~ l1_orders_2(sK11)
| ~ spl269_125
| ~ spl269_127 ),
inference(resolution,[],[f11791,f6475]) ).
fof(f11795,plain,
( sK84(k1_latsum_1(sK11,sK12)) = sK83(k1_latsum_1(sK11,sK12))
| ~ r1_orders_2(sK11,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))
| ~ m1_subset_1(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK11))
| ~ v4_orders_2(sK11)
| ~ l1_orders_2(sK11)
| ~ spl269_125
| ~ spl269_127 ),
inference(forward_subsumption_resolution,[],[f11793,f10784]) ).
fof(f11797,plain,
( sK84(k1_latsum_1(sK11,sK12)) = sK83(k1_latsum_1(sK11,sK12))
| ~ r1_orders_2(sK11,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))
| ~ v4_orders_2(sK11)
| ~ l1_orders_2(sK11)
| ~ spl269_125
| ~ spl269_127 ),
inference(forward_subsumption_resolution,[],[f11795,f10771]) ).
fof(f11799,plain,
( sK84(k1_latsum_1(sK11,sK12)) = sK83(k1_latsum_1(sK11,sK12))
| ~ r1_orders_2(sK11,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))
| ~ l1_orders_2(sK11)
| ~ spl269_125
| ~ spl269_127 ),
inference(forward_subsumption_resolution,[],[f11797,f6107]) ).
fof(f11800,plain,
( sK84(k1_latsum_1(sK11,sK12)) = sK83(k1_latsum_1(sK11,sK12))
| ~ r1_orders_2(sK11,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))
| ~ spl269_125
| ~ spl269_127 ),
inference(forward_subsumption_resolution,[],[f11799,f6103]) ).
fof(f11802,definition,
( spl269_157
<=> r1_orders_2(sK11,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12))) ),
introduced(definition,[new_symbols(definition,[spl269_157])],[avatar_definition]) ).
fof(f11803,plain,
( ~ r1_orders_2(sK11,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))
| spl269_157 ),
inference(avatar_component_clause,[],[f11802]) ).
fof(f11805,definition,
( spl269_158
<=> sK84(k1_latsum_1(sK11,sK12)) = sK83(k1_latsum_1(sK11,sK12)) ),
introduced(definition,[new_symbols(definition,[spl269_158])],[avatar_definition]) ).
fof(f11806,plain,
( sK84(k1_latsum_1(sK11,sK12)) = sK83(k1_latsum_1(sK11,sK12))
| ~ spl269_158 ),
inference(avatar_component_clause,[],[f11805]) ).
fof(f11807,plain,
( ~ spl269_157
| spl269_158
| ~ spl269_125
| ~ spl269_127 ),
inference(avatar_split_clause,[],[f11800,f10673,f10666,f11805,f11802]) ).
fof(f11809,plain,
( $false
| ~ spl269_125
| ~ spl269_127
| spl269_157 ),
inference(unit_resulting_resolution,[],[f8690,f6103,f10784,f10771,f11748,f11803]) ).
fof(f11811,plain,
( ~ spl269_125
| ~ spl269_127
| spl269_157 ),
inference(avatar_contradiction_clause,[],[f11809]) ).
fof(f11822,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK12))
| r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK12))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12))) )
| ~ spl269_124 ),
inference(resolution,[],[f10664,f8742]) ).
fof(f11839,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK12))
| r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,sK83(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK12))
| ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,sK83(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12))) )
| ~ spl269_123 ),
inference(resolution,[],[f10660,f8742]) ).
fof(f11990,plain,
( r2_hidden(k2_tarski(k1_tarski(sK83(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK12))
| ~ r2_hidden(k2_tarski(k1_tarski(sK83(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12)))
| ~ spl269_123
| ~ spl269_124 ),
inference(resolution,[],[f11822,f10660]) ).
fof(f11992,plain,
( r2_hidden(k2_tarski(k1_tarski(sK83(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK12))
| ~ spl269_123
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f11990,f9317]) ).
fof(f11998,plain,
( r1_orders_2(sK12,sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))
| ~ m1_subset_1(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ m1_subset_1(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(sK12)
| ~ spl269_123
| ~ spl269_124 ),
inference(resolution,[],[f11992,f8303]) ).
fof(f12006,plain,
( r1_orders_2(sK12,sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))
| ~ m1_subset_1(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ l1_orders_2(sK12)
| ~ spl269_123
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f11998,f10688]) ).
fof(f12007,plain,
( r1_orders_2(sK12,sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))
| ~ l1_orders_2(sK12)
| ~ spl269_123
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f12006,f10738]) ).
fof(f12008,plain,
( r1_orders_2(sK12,sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))
| ~ spl269_123
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f12007,f6104]) ).
fof(f12010,plain,
( sK84(k1_latsum_1(sK11,sK12)) = sK83(k1_latsum_1(sK11,sK12))
| ~ r1_orders_2(sK12,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))
| ~ m1_subset_1(sK84(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ m1_subset_1(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ v4_orders_2(sK12)
| ~ l1_orders_2(sK12)
| ~ spl269_123
| ~ spl269_124 ),
inference(resolution,[],[f12008,f6475]) ).
fof(f12012,plain,
( sK84(k1_latsum_1(sK11,sK12)) = sK83(k1_latsum_1(sK11,sK12))
| ~ r1_orders_2(sK12,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))
| ~ m1_subset_1(sK83(k1_latsum_1(sK11,sK12)),u1_struct_0(sK12))
| ~ v4_orders_2(sK12)
| ~ l1_orders_2(sK12)
| ~ spl269_123
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f12010,f10688]) ).
fof(f12014,plain,
( sK84(k1_latsum_1(sK11,sK12)) = sK83(k1_latsum_1(sK11,sK12))
| ~ r1_orders_2(sK12,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))
| ~ v4_orders_2(sK12)
| ~ l1_orders_2(sK12)
| ~ spl269_123
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f12012,f10738]) ).
fof(f12016,plain,
( sK84(k1_latsum_1(sK11,sK12)) = sK83(k1_latsum_1(sK11,sK12))
| ~ r1_orders_2(sK12,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))
| ~ l1_orders_2(sK12)
| ~ spl269_123
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f12014,f6105]) ).
fof(f12017,plain,
( sK84(k1_latsum_1(sK11,sK12)) = sK83(k1_latsum_1(sK11,sK12))
| ~ r1_orders_2(sK12,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))
| ~ spl269_123
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f12016,f6104]) ).
fof(f12019,definition,
( spl269_163
<=> r1_orders_2(sK12,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12))) ),
introduced(definition,[new_symbols(definition,[spl269_163])],[avatar_definition]) ).
fof(f12020,plain,
( ~ r1_orders_2(sK12,sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))
| spl269_163 ),
inference(avatar_component_clause,[],[f12019]) ).
fof(f12021,plain,
( ~ spl269_163
| spl269_158
| ~ spl269_123
| ~ spl269_124 ),
inference(avatar_split_clause,[],[f12017,f10663,f10659,f11805,f12019]) ).
fof(f12216,plain,
( r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK12))
| ~ r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12)))
| ~ spl269_123
| ~ spl269_124 ),
inference(resolution,[],[f11839,f10664]) ).
fof(f12217,plain,
( r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK12))
| ~ r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK84(k1_latsum_1(sK11,sK12)),sK83(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12)))
| ~ spl269_123
| ~ spl269_124 ),
inference(forward_demodulation,[],[f12216,f7722]) ).
fof(f12219,plain,
( ~ r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(k1_latsum_1(sK11,sK12)))
| r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK12))
| ~ spl269_123
| ~ spl269_124 ),
inference(forward_demodulation,[],[f12217,f7722]) ).
fof(f12221,plain,
( r2_hidden(k2_tarski(k1_tarski(sK84(k1_latsum_1(sK11,sK12))),k2_tarski(sK83(k1_latsum_1(sK11,sK12)),sK84(k1_latsum_1(sK11,sK12)))),u1_orders_2(sK12))
| ~ spl269_123
| ~ spl269_124 ),
inference(forward_subsumption_resolution,[],[f12219,f9282]) ).
fof(f12223,plain,
( $false
| ~ spl269_123
| ~ spl269_124
| spl269_163 ),
inference(unit_resulting_resolution,[],[f8690,f6104,f10688,f10738,f12020,f12221]) ).
fof(f12230,plain,
( ~ spl269_123
| ~ spl269_124
| spl269_163 ),
inference(avatar_contradiction_clause,[],[f12223]) ).
fof(f12263,plain,
( sK83(k1_latsum_1(sK11,sK12)) != sK83(k1_latsum_1(sK11,sK12))
| v4_orders_2(k1_latsum_1(sK11,sK12))
| ~ l1_orders_2(k1_latsum_1(sK11,sK12))
| ~ spl269_158 ),
inference(superposition,[],[f6443,f11806]) ).
fof(f12264,plain,
( v4_orders_2(k1_latsum_1(sK11,sK12))
| ~ l1_orders_2(k1_latsum_1(sK11,sK12))
| ~ spl269_158 ),
inference(trivial_inequality_removal,[],[f12263]) ).
fof(f12265,plain,
( ~ l1_orders_2(k1_latsum_1(sK11,sK12))
| ~ spl269_158 ),
inference(forward_subsumption_resolution,[],[f12264,f6114]) ).
fof(f12276,plain,
( ~ spl269_118
| ~ spl269_158 ),
inference(avatar_split_clause,[],[f12265,f11805,f10607]) ).
cnf(s98,plain,
( spl269_124
| spl269_125 ),
inference(sat_conversion,[],[f10668]) ).
cnf(s99,plain,
( spl269_126
| spl269_127 ),
inference(sat_conversion,[],[f10675]) ).
cnf(s100,plain,
( ~ spl269_123
| spl269_124 ),
inference(sat_conversion,[],[f10677]) ).
cnf(s108,plain,
spl269_118,
inference(sat_conversion,[],[f10719]) ).
cnf(s110,plain,
( ~ spl269_118
| spl269_123
| ~ spl269_124 ),
inference(sat_conversion,[],[f10733]) ).
cnf(s128,plain,
( spl269_124
| ~ spl269_126 ),
inference(sat_conversion,[],[f11712]) ).
cnf(s133,plain,
( ~ spl269_125
| ~ spl269_127
| ~ spl269_157
| spl269_158 ),
inference(sat_conversion,[],[f11807]) ).
cnf(s135,plain,
( ~ spl269_125
| ~ spl269_127
| spl269_157 ),
inference(sat_conversion,[],[f11811]) ).
cnf(s140,plain,
( ~ spl269_123
| ~ spl269_124
| spl269_158
| ~ spl269_163 ),
inference(sat_conversion,[],[f12021]) ).
cnf(s146,plain,
( ~ spl269_123
| ~ spl269_124
| spl269_163 ),
inference(sat_conversion,[],[f12230]) ).
cnf(s151,plain,
( ~ spl269_118
| ~ spl269_158 ),
inference(sat_conversion,[],[f12276]) ).
cnf(s152,plain,
~ spl269_158,
inference(rat,[],[s151,s108]) ).
cnf(s205,plain,
( ~ spl269_124
| ~ spl269_123 ),
inference(rat,[],[s140,s146,s152]) ).
cnf(s206,plain,
~ spl269_123,
inference(rat,[],[s205,s100]) ).
cnf(s207,plain,
~ spl269_124,
inference(rat,[],[s110,s108,s206]) ).
cnf(s209,plain,
~ spl269_126,
inference(rat,[],[s128,s207]) ).
cnf(s210,plain,
spl269_125,
inference(rat,[],[s98,s207]) ).
cnf(s211,plain,
spl269_127,
inference(rat,[],[s99,s209]) ).
cnf(s212,plain,
spl269_157,
inference(rat,[],[s135,s210,s211]) ).
cnf(s213,plain,
$false,
inference(rat,[],[s133,s152,s210,s212,s211]) ).
fof(f12277,plain,
$false,
inference(avatar_sat_refutation,[],[s213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU414+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n009.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 05:15:16 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 10.76/2.68 % (2677557)Detected formulas, will run a generic FOF schedule.
% 10.76/2.68 % (2677562)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=2733848045:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 10.76/2.68 % (2677566)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1961552663:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 10.76/2.68 % (2677567)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2365598995:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 10.76/2.68 % (2677565)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2580432173:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 10.76/2.68 % (2677564)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=928589022:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 10.76/2.68 % (2677568)dis-21_1_sil=8000:lcm=predicate:random_seed=648428643:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 10.76/2.68 % (2677563)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=2725985784:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 10.76/2.68 % (2677565)Instruction limit reached!
% 10.76/2.68 % (2677565)------------------------------
% 10.76/2.68 % (2677565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.68 % (2677565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.68 % (2677565)CaDiCaL version: 2.1.3
% 10.76/2.68 % (2677565)Termination reason: Instruction limit
% 10.76/2.68 % (2677565)Termination phase: Saturation
% 10.76/2.68 % (2677565)Time elapsed: 0.070 s
% 10.76/2.68 % (2677565)Peak memory usage: 94 MB
% 10.76/2.68 % (2677565)Instructions burned: 110 (million)
% 10.76/2.68 % (2677566)Instruction limit reached!
% 10.76/2.68 % (2677566)------------------------------
% 10.76/2.68 % (2677566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.68 % (2677566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.68 % (2677566)CaDiCaL version: 2.1.3
% 10.76/2.68 % (2677566)Termination reason: Instruction limit
% 10.76/2.68 % (2677566)Termination phase: Saturation
% 10.76/2.68 % (2677566)Time elapsed: 0.077 s
% 10.76/2.68 % (2677566)Peak memory usage: 94 MB
% 10.76/2.68 % (2677566)Instructions burned: 119 (million)
% 10.76/2.68 % (2677567)Instruction limit reached!
% 10.76/2.68 % (2677567)------------------------------
% 10.76/2.68 % (2677567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.68 % (2677567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.68 % (2677567)CaDiCaL version: 2.1.3
% 10.76/2.68 % (2677567)Termination reason: Instruction limit
% 10.76/2.68 % (2677567)Termination phase: Preprocessing 3
% 10.76/2.68 % (2677567)Time elapsed: 0.090 s
% 10.76/2.68 % (2677567)Peak memory usage: 95 MB
% 10.76/2.68 % (2677567)Instructions burned: 140 (million)
% 10.76/2.68 % (2677568)Instruction limit reached!
% 10.76/2.68 % (2677568)------------------------------
% 10.76/2.68 % (2677568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.68 % (2677568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.68 % (2677568)CaDiCaL version: 2.1.3
% 10.76/2.68 % (2677568)Termination reason: Instruction limit
% 10.76/2.68 % (2677568)Termination phase: Preprocessing 3
% 10.76/2.68 % (2677568)Time elapsed: 0.090 s
% 10.76/2.68 % (2677568)Peak memory usage: 95 MB
% 10.76/2.68 % (2677568)Instructions burned: 130 (million)
% 10.76/2.68 % (2677576)lrs+10_1_sil=8000:sp=occurrence:random_seed=725927746:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 10.76/2.68 % (2677577)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4256459224:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.76/2.68 % (2677578)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3402059692:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.76/2.68 % (2677579)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=2281545283:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.76/2.68 % (2677577)Instruction limit reached!
% 11.92/3.03 % (2677577)------------------------------
% 11.92/3.03 % (2677577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677577)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677577)Termination reason: Instruction limit
% 11.92/3.03 % (2677577)Termination phase: Saturation
% 11.92/3.03 % (2677577)Time elapsed: 0.083 s
% 11.92/3.03 % (2677577)Peak memory usage: 95 MB
% 11.92/3.03 % (2677577)Instructions burned: 158 (million)
% 11.92/3.03 % (2677579)Instruction limit reached!
% 11.92/3.03 % (2677579)------------------------------
% 11.92/3.03 % (2677579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677579)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677579)Termination reason: Instruction limit
% 11.92/3.03 % (2677579)Termination phase: Property scanning
% 11.92/3.03 % (2677579)Time elapsed: 0.152 s
% 11.92/3.03 % (2677579)Peak memory usage: 100 MB
% 11.92/3.03 % (2677579)Instructions burned: 250 (million)
% 11.92/3.03 % (2677576)Instruction limit reached!
% 11.92/3.03 % (2677576)------------------------------
% 11.92/3.03 % (2677576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677576)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677576)Termination reason: Instruction limit
% 11.92/3.03 % (2677576)Termination phase: Saturation
% 11.92/3.03 % (2677576)Time elapsed: 0.191 s
% 11.92/3.03 % (2677576)Peak memory usage: 98 MB
% 11.92/3.03 % (2677576)Instructions burned: 286 (million)
% 11.92/3.03 % (2677584)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2860745268:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.92/3.03 % (2677578)Instruction limit reached!
% 11.92/3.03 % (2677578)------------------------------
% 11.92/3.03 % (2677578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677578)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677578)Termination reason: Instruction limit
% 11.92/3.03 % (2677578)Termination phase: Saturation
% 11.92/3.03 % (2677578)Time elapsed: 0.216 s
% 11.92/3.03 % (2677578)Peak memory usage: 97 MB
% 11.92/3.03 % (2677578)Instructions burned: 325 (million)
% 11.92/3.03 % (2677585)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1175157324:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 11.92/3.03 % (2677586)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=86372348:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 11.92/3.03 % (2677588)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=534094520:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 11.92/3.03 % (2677586)Instruction limit reached!
% 11.92/3.03 % (2677586)------------------------------
% 11.92/3.03 % (2677586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677586)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677586)Termination reason: Instruction limit
% 11.92/3.03 % (2677586)Termination phase: Saturation
% 11.92/3.03 % (2677586)Time elapsed: 0.073 s
% 11.92/3.03 % (2677586)Peak memory usage: 95 MB
% 11.92/3.03 % (2677586)Instructions burned: 114 (million)
% 11.92/3.03 % (2677584)Instruction limit reached!
% 11.92/3.03 % (2677584)------------------------------
% 11.92/3.03 % (2677584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677584)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677584)Termination reason: Instruction limit
% 11.92/3.03 % (2677584)Termination phase: Saturation
% 11.92/3.03 % (2677584)Time elapsed: 0.180 s
% 11.92/3.03 % (2677584)Peak memory usage: 99 MB
% 11.92/3.03 % (2677584)Instructions burned: 294 (million)
% 11.92/3.03 % (2677588)Instruction limit reached!
% 11.92/3.03 % (2677588)------------------------------
% 11.92/3.03 % (2677588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677588)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677588)Termination reason: Instruction limit
% 11.92/3.03 % (2677588)Termination phase: Preprocessing 3
% 11.92/3.03 % (2677588)Time elapsed: 0.091 s
% 11.92/3.03 % (2677588)Peak memory usage: 97 MB
% 11.92/3.03 % (2677588)Instructions burned: 127 (million)
% 11.92/3.03 % (2677592)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=438075494:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 11.92/3.03 % (2677593)lrs+10_1_sil=8000:sp=occurrence:random_seed=2640578696:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 11.92/3.03 % (2677592)Instruction limit reached!
% 11.92/3.03 % (2677592)------------------------------
% 11.92/3.03 % (2677592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677592)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677592)Termination reason: Instruction limit
% 11.92/3.03 % (2677592)Termination phase: SInE selection
% 11.92/3.03 % (2677592)Time elapsed: 0.051 s
% 11.92/3.03 % (2677592)Peak memory usage: 89 MB
% 11.92/3.03 % (2677592)Instructions burned: 115 (million)
% 11.92/3.03 % (2677594)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=299959666:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 11.92/3.03 % (2677597)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3389951591:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 11.92/3.03 % (2677594)Instruction limit reached!
% 11.92/3.03 % (2677594)------------------------------
% 11.92/3.03 % (2677594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677594)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677594)Termination reason: Instruction limit
% 11.92/3.03 % (2677594)Termination phase: Saturation
% 11.92/3.03 % (2677594)Time elapsed: 0.266 s
% 11.92/3.03 % (2677594)Peak memory usage: 97 MB
% 11.92/3.03 % (2677594)Instructions burned: 438 (million)
% 11.92/3.03 % (2677600)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3636483362:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 11.92/3.03 % (2677600)Instruction limit reached!
% 11.92/3.03 % (2677600)------------------------------
% 11.92/3.03 % (2677600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677600)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677600)Termination reason: Instruction limit
% 11.92/3.03 % (2677600)Termination phase: Saturation
% 11.92/3.03 % (2677600)Time elapsed: 0.084 s
% 11.92/3.03 % (2677600)Peak memory usage: 96 MB
% 11.92/3.03 % (2677600)Instructions burned: 135 (million)
% 11.92/3.03 % (2677593)Instruction limit reached!
% 11.92/3.03 % (2677593)------------------------------
% 11.92/3.03 % (2677593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677593)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677593)Termination reason: Instruction limit
% 11.92/3.03 % (2677593)Termination phase: Saturation
% 11.92/3.03 % (2677593)Time elapsed: 0.601 s
% 11.92/3.03 % (2677593)Peak memory usage: 106 MB
% 11.92/3.03 % (2677593)Instructions burned: 907 (million)
% 11.92/3.03 % (2677585)Instruction limit reached!
% 11.92/3.03 % (2677585)------------------------------
% 11.92/3.03 % (2677585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677585)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677585)Termination reason: Instruction limit
% 11.92/3.03 % (2677585)Termination phase: Saturation
% 11.92/3.03 % (2677585)Time elapsed: 0.866 s
% 11.92/3.03 % (2677585)Peak memory usage: 238 MB
% 11.92/3.03 % (2677585)Instructions burned: 2352 (million)
% 11.92/3.03 % (2677604)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=2804803800:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 11.92/3.03 % (2677602)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2922548198:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 11.92/3.03 % (2677603)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2929694924:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 11.92/3.03 % (2677604)Instruction limit reached!
% 11.92/3.03 % (2677604)------------------------------
% 11.92/3.03 % (2677604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677604)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677604)Termination reason: Instruction limit
% 11.92/3.03 % (2677604)Termination phase: General splitting
% 11.92/3.03 % (2677604)Time elapsed: 0.041 s
% 11.92/3.03 % (2677604)Peak memory usage: 92 MB
% 11.92/3.03 % (2677604)Instructions burned: 129 (million)
% 11.92/3.03 % (2677563)First to succeed.
% 11.92/3.03 % (2677563)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2677557"
% 11.92/3.03 % (2677608)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4216250761:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 11.92/3.03 % (2677608)Instruction limit reached!
% 11.92/3.03 % (2677608)------------------------------
% 11.92/3.03 % (2677608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677608)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677608)Termination reason: Instruction limit
% 11.92/3.03 % (2677608)Termination phase: Preprocessing 1
% 11.92/3.03 % (2677608)Time elapsed: 0.039 s
% 11.92/3.03 % (2677608)Peak memory usage: 90 MB
% 11.92/3.03 % (2677608)Instructions burned: 134 (million)
% 11.92/3.03 % (2677610)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3829866714:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 11.92/3.03 % (2677610)Instruction limit reached!
% 11.92/3.03 % (2677610)------------------------------
% 11.92/3.03 % (2677610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677610)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677610)Termination reason: Instruction limit
% 11.92/3.03 % (2677610)Termination phase: Saturation
% 11.92/3.03 % (2677610)Time elapsed: 0.047 s
% 11.92/3.03 % (2677610)Peak memory usage: 95 MB
% 11.92/3.03 % (2677610)Instructions burned: 143 (million)
% 11.92/3.03 % (2677602)Instruction limit reached!
% 11.92/3.03 % (2677602)------------------------------
% 11.92/3.03 % (2677602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.03 % (2677602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.03 % (2677602)CaDiCaL version: 2.1.3
% 11.92/3.03 % (2677602)Termination reason: Instruction limit
% 11.92/3.03 % (2677602)Termination phase: Saturation
% 11.92/3.03 % (2677602)Time elapsed: 0.323 s
% 11.92/3.03 % (2677602)Peak memory usage: 106 MB
% 11.92/3.03 % (2677602)Instructions burned: 593 (million)
% 11.92/3.03 % (2677563)Refutation found. Thanks to Tanya!
% 11.92/3.03 % SZS status Theorem for theBenchmark
% 11.92/3.03 % SZS output start Proof for theBenchmark
% See solution above
% 14.64/3.22 % (2677563)------------------------------
% 14.64/3.22 % (2677563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.22 % (2677563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.22 % (2677563)CaDiCaL version: 2.1.3
% 14.64/3.22 % (2677563)Termination reason: Refutation
% 14.64/3.22 % (2677563)Time elapsed: 1.541 s
% 14.64/3.22 % (2677563)Peak memory usage: 157 MB
% 14.64/3.22 % (2677563)Instructions burned: 2374 (million)
% 14.64/3.22 % (2677563)------------------------------
% 14.64/3.22 % (2677563)------------------------------
% 14.64/3.22 % (2677557)Success in time 2.149 s
% 14.64/3.22 % Vampire exiting
%------------------------------------------------------------------------------