%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU414+4 : 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 : n011.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 12:48:50 PM UTC 2026
% Result : Theorem 99.43s 21.86s
% Output : Refutation 115.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 23
% Syntax : Number of formulae : 254 ( 33 unt; 7 def)
% Number of atoms : 1555 ( 73 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 2327 (1026 ~;1137 |; 118 &)
% ( 14 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 8 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 348 ( 0 sgn 337 !; 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(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(f258,axiom,
! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f19453,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(f19479,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(f39681,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(f41487,axiom,
! [X0] : u1_struct_0(k3_yellow_1(X0)) = k1_zfmisc_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(f66032,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(f66040,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(f66041,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(f66054,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(f66058,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(f66060,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(f66061,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)],[f66060]) ).
fof(f66172,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,[],[f66061]) ).
fof(f66173,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,[],[f66172]) ).
fof(f66320,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,[],[f66041]) ).
fof(f66321,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,[],[f66320]) ).
fof(f66322,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,[],[f66040]) ).
fof(f66323,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,[],[f66322]) ).
fof(f66328,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,[],[f66058]) ).
fof(f66329,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,[],[f66328]) ).
fof(f66332,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,[],[f66054]) ).
fof(f66333,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,[],[f66332]) ).
fof(f66350,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,[],[f66032]) ).
fof(f66351,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,[],[f66350]) ).
fof(f66362,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f67263,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,[],[f39681]) ).
fof(f67264,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,[],[f67263]) ).
fof(f67275,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,[],[f19479]) ).
fof(f67276,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,[],[f67275]) ).
fof(f67279,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,[],[f19453]) ).
fof(f71863,plain,
( ~ v4_orders_2(k1_latsum_1(sK91,sK92))
& r1_latsum_1(sK91,sK92)
& v13_waybel_0(k3_xboole_0(u1_struct_0(sK91),u1_struct_0(sK92)),sK91)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK91),u1_struct_0(sK92)),k1_zfmisc_1(u1_struct_0(sK91)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK91),u1_struct_0(sK92)),sK92)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK91),u1_struct_0(sK92)),k1_zfmisc_1(u1_struct_0(sK92)))
& v3_orders_2(sK91)
& v4_orders_2(sK91)
& v3_orders_2(sK92)
& v4_orders_2(sK92)
& l1_orders_2(sK92)
& l1_orders_2(sK91) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91,sK92]),skolemize(X0,sK91),skolemize(X1,sK92)],[f66173]) ).
fof(f72304,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,[],[f67264]) ).
fof(f72305,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,[],[f72304]) ).
fof(f72306,plain,
! [X0] :
( ( ( v4_orders_2(X0)
| ( sK402(X0) != sK403(X0)
& r1_orders_2(X0,sK402(X0),sK403(X0))
& r1_orders_2(X0,sK403(X0),sK402(X0))
& m1_subset_1(sK403(X0),u1_struct_0(X0))
& m1_subset_1(sK402(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,[sK402,sK403]),skolemize(X1,sK402(X0)),skolemize(X2,sK403(X0))],[f72305]) ).
fof(f72321,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,[],[f67279]) ).
fof(f72400,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(f72401,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,[],[f72400]) ).
fof(f72402,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,[],[f72401]) ).
fof(f72403,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK449(X0,X1,X2),X0)
| r2_hidden(sK449(X0,X1,X2),X1)
| ~ r2_hidden(sK449(X0,X1,X2),X2) )
& ( ( r2_hidden(sK449(X0,X1,X2),X0)
& ~ r2_hidden(sK449(X0,X1,X2),X1) )
| r2_hidden(sK449(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,[sK449]),skolemize(X3,sK449(X0,X1,X2))],[f72402]) ).
fof(f73486,plain,
l1_orders_2(sK91),
inference(cnf_transformation,[],[f71863]) ).
fof(f73487,plain,
l1_orders_2(sK92),
inference(cnf_transformation,[],[f71863]) ).
fof(f73488,plain,
v4_orders_2(sK92),
inference(cnf_transformation,[],[f71863]) ).
fof(f73489,plain,
v3_orders_2(sK92),
inference(cnf_transformation,[],[f71863]) ).
fof(f73490,plain,
v4_orders_2(sK91),
inference(cnf_transformation,[],[f71863]) ).
fof(f73491,plain,
v3_orders_2(sK91),
inference(cnf_transformation,[],[f71863]) ).
fof(f73494,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK91),u1_struct_0(sK92)),k1_zfmisc_1(u1_struct_0(sK91))),
inference(cnf_transformation,[],[f71863]) ).
fof(f73495,plain,
v13_waybel_0(k3_xboole_0(u1_struct_0(sK91),u1_struct_0(sK92)),sK91),
inference(cnf_transformation,[],[f71863]) ).
fof(f73496,plain,
r1_latsum_1(sK91,sK92),
inference(cnf_transformation,[],[f71863]) ).
fof(f73497,plain,
~ v4_orders_2(k1_latsum_1(sK91,sK92)),
inference(cnf_transformation,[],[f71863]) ).
fof(f73722,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,[],[f66321]) ).
fof(f73723,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,[],[f66323]) ).
fof(f73735,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,[],[f66329]) ).
fof(f73740,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,[],[f66333]) ).
fof(f73754,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f66351]) ).
fof(f73768,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f66362]) ).
fof(f74950,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f74978,plain,
! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f74979,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f21]) ).
fof(f75182,plain,
! [X0] :
( m1_subset_1(sK402(X0),u1_struct_0(X0))
| v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f72306]) ).
fof(f75183,plain,
! [X0] :
( m1_subset_1(sK403(X0),u1_struct_0(X0))
| v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f72306]) ).
fof(f75184,plain,
! [X0] :
( r1_orders_2(X0,sK403(X0),sK402(X0))
| v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f72306]) ).
fof(f75185,plain,
! [X0] :
( r1_orders_2(X0,sK402(X0),sK403(X0))
| v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f72306]) ).
fof(f75186,plain,
! [X0] :
( sK402(X0) != sK403(X0)
| v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f72306]) ).
fof(f75224,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,X2,X1)
| ~ r1_orders_2(X0,X1,X2)
| X1 = X2
| ~ 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,[],[f67276]) ).
fof(f75226,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,[],[f72321]) ).
fof(f75227,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,[],[f72321]) ).
fof(f75550,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f75571,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f72403]) ).
fof(f77263,plain,
! [X0] : k1_zfmisc_1(X0) = u1_struct_0(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f41487]) ).
fof(f80955,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),
inference(definition_unfolding,[],[f74950,f74978]) ).
fof(f80958,plain,
v13_waybel_0(k4_xboole_0(u1_struct_0(sK91),k4_xboole_0(u1_struct_0(sK91),u1_struct_0(sK92))),sK91),
inference(definition_unfolding,[],[f73495,f75550]) ).
fof(f80959,plain,
m1_subset_1(k4_xboole_0(u1_struct_0(sK91),k4_xboole_0(u1_struct_0(sK91),u1_struct_0(sK92))),u1_struct_0(k3_yellow_1(u1_struct_0(sK91)))),
inference(definition_unfolding,[],[f73494,f75550,f77263]) ).
fof(f81137,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)),u1_orders_2(k1_latsum_1(X0,X1)))
| r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)),u1_orders_2(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,[],[f73722,f80955,f80955]) ).
fof(f81138,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)),u1_orders_2(k1_latsum_1(X0,X1)))
| r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)),u1_orders_2(X0))
| ~ 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,[],[f73723,f80955,f80955]) ).
fof(f81149,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,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))),u1_struct_0(k3_yellow_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,[],[f73735,f80955,f75550,f75550,f77263]) ).
fof(f81155,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(X1))),u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(X1))),X0)
| r2_hidden(X3,u1_struct_0(X1))
| ~ 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(definition_unfolding,[],[f73740,f75550,f75550,f77263]) ).
fof(f81788,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k2_tarski(X1,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,[],[f75227,f80955]) ).
fof(f81789,plain,
! [X2,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(X1,X2),k2_tarski(X1,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,[],[f75226,f80955]) ).
fof(f83183,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,k4_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f75571]) ).
fof(f84121,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),u1_struct_0(k3_yellow_1(u1_struct_0(X2))))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),u1_orders_2(k1_latsum_1(X2,X3)))
| 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,[],[f81149,f83183]) ).
fof(f84477,plain,
! [X0,X1] :
( ~ v13_waybel_0(k4_xboole_0(u1_struct_0(sK91),k4_xboole_0(u1_struct_0(sK91),u1_struct_0(sK92))),sK91)
| r2_hidden(X0,u1_struct_0(sK92))
| ~ r1_orders_2(k1_latsum_1(sK91,sK92),X1,X0)
| ~ r2_hidden(X1,u1_struct_0(sK92))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ l1_orders_2(sK92)
| ~ l1_orders_2(sK91) ),
inference(resolution,[],[f81155,f80959]) ).
fof(f84480,plain,
! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK92))
| ~ r1_orders_2(k1_latsum_1(sK91,sK92),X1,X0)
| ~ r2_hidden(X1,u1_struct_0(sK92))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ l1_orders_2(sK92)
| ~ l1_orders_2(sK91) ),
inference(forward_subsumption_resolution,[],[f84477,f80958]) ).
fof(f84481,plain,
! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK92))
| ~ r1_orders_2(k1_latsum_1(sK91,sK92),X1,X0)
| ~ r2_hidden(X1,u1_struct_0(sK92))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ l1_orders_2(sK91) ),
inference(forward_subsumption_resolution,[],[f84480,f73487]) ).
fof(f84482,plain,
! [X0,X1] :
( ~ r1_orders_2(k1_latsum_1(sK91,sK92),X1,X0)
| r2_hidden(X0,u1_struct_0(sK92))
| ~ r2_hidden(X1,u1_struct_0(sK92))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK91,sK92))) ),
inference(forward_subsumption_resolution,[],[f84481,f73486]) ).
fof(f84542,plain,
! [X0,X1] :
( ~ v13_waybel_0(k4_xboole_0(u1_struct_0(sK91),k4_xboole_0(u1_struct_0(sK91),u1_struct_0(sK92))),sK91)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),u1_orders_2(k1_latsum_1(sK91,sK92)))
| r2_hidden(X0,u1_struct_0(sK91))
| r2_hidden(X1,u1_struct_0(sK92))
| ~ l1_orders_2(sK92)
| ~ l1_orders_2(sK91) ),
inference(resolution,[],[f84121,f80959]) ).
fof(f84548,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),u1_orders_2(k1_latsum_1(sK91,sK92)))
| r2_hidden(X0,u1_struct_0(sK91))
| r2_hidden(X1,u1_struct_0(sK92))
| ~ l1_orders_2(sK92)
| ~ l1_orders_2(sK91) ),
inference(forward_subsumption_resolution,[],[f84542,f80958]) ).
fof(f84549,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),u1_orders_2(k1_latsum_1(sK91,sK92)))
| r2_hidden(X0,u1_struct_0(sK91))
| r2_hidden(X1,u1_struct_0(sK92))
| ~ l1_orders_2(sK91) ),
inference(forward_subsumption_resolution,[],[f84548,f73487]) ).
fof(f84550,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),u1_orders_2(k1_latsum_1(sK91,sK92)))
| r2_hidden(X0,u1_struct_0(sK91))
| r2_hidden(X1,u1_struct_0(sK92)) ),
inference(forward_subsumption_resolution,[],[f84549,f73486]) ).
fof(f84666,definition,
( spl1178_53
<=> m1_subset_1(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92))) ),
introduced(definition,[new_symbols(definition,[spl1178_53])],[avatar_definition]) ).
fof(f84667,plain,
( m1_subset_1(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ spl1178_53 ),
inference(avatar_component_clause,[],[f84666]) ).
fof(f84668,plain,
( ~ m1_subset_1(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| spl1178_53 ),
inference(avatar_component_clause,[],[f84666]) ).
fof(f84670,definition,
( spl1178_54
<=> r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92)) ),
introduced(definition,[new_symbols(definition,[spl1178_54])],[avatar_definition]) ).
fof(f84671,plain,
( ~ r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| spl1178_54 ),
inference(avatar_component_clause,[],[f84670]) ).
fof(f84672,plain,
( r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ spl1178_54 ),
inference(avatar_component_clause,[],[f84670]) ).
fof(f84683,definition,
( spl1178_57
<=> r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91)) ),
introduced(definition,[new_symbols(definition,[spl1178_57])],[avatar_definition]) ).
fof(f84684,plain,
( r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| ~ spl1178_57 ),
inference(avatar_component_clause,[],[f84683]) ).
fof(f84685,plain,
( ~ r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| spl1178_57 ),
inference(avatar_component_clause,[],[f84683]) ).
fof(f84690,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| spl1178_53 ),
inference(resolution,[],[f84668,f75183]) ).
fof(f84691,plain,
( ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| spl1178_53 ),
inference(forward_subsumption_resolution,[],[f84690,f73497]) ).
fof(f84692,plain,
( ~ l1_orders_2(sK91)
| ~ l1_orders_2(sK92)
| spl1178_53 ),
inference(resolution,[],[f84691,f73754]) ).
fof(f84693,plain,
( ~ l1_orders_2(sK92)
| spl1178_53 ),
inference(forward_subsumption_resolution,[],[f84692,f73486]) ).
fof(f84694,plain,
( $false
| spl1178_53 ),
inference(forward_subsumption_resolution,[],[f84693,f73487]) ).
fof(f84695,plain,
spl1178_53,
inference(avatar_contradiction_clause,[],[f84694]) ).
fof(f84771,definition,
( spl1178_61
<=> m1_subset_1(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92))) ),
introduced(definition,[new_symbols(definition,[spl1178_61])],[avatar_definition]) ).
fof(f84772,plain,
( m1_subset_1(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ spl1178_61 ),
inference(avatar_component_clause,[],[f84771]) ).
fof(f84773,plain,
( ~ m1_subset_1(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| spl1178_61 ),
inference(avatar_component_clause,[],[f84771]) ).
fof(f84775,definition,
( spl1178_62
<=> r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92)) ),
introduced(definition,[new_symbols(definition,[spl1178_62])],[avatar_definition]) ).
fof(f84776,plain,
( ~ r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| spl1178_62 ),
inference(avatar_component_clause,[],[f84775]) ).
fof(f84777,plain,
( r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ spl1178_62 ),
inference(avatar_component_clause,[],[f84775]) ).
fof(f84788,definition,
( spl1178_65
<=> r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91)) ),
introduced(definition,[new_symbols(definition,[spl1178_65])],[avatar_definition]) ).
fof(f84789,plain,
( r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| ~ spl1178_65 ),
inference(avatar_component_clause,[],[f84788]) ).
fof(f84790,plain,
( ~ r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| spl1178_65 ),
inference(avatar_component_clause,[],[f84788]) ).
fof(f84795,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| spl1178_61 ),
inference(resolution,[],[f84773,f75182]) ).
fof(f84796,plain,
( ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| spl1178_61 ),
inference(forward_subsumption_resolution,[],[f84795,f73497]) ).
fof(f84797,plain,
( ~ l1_orders_2(sK91)
| ~ l1_orders_2(sK92)
| spl1178_61 ),
inference(resolution,[],[f84796,f73754]) ).
fof(f84798,plain,
( ~ l1_orders_2(sK92)
| spl1178_61 ),
inference(forward_subsumption_resolution,[],[f84797,f73486]) ).
fof(f84799,plain,
( $false
| spl1178_61 ),
inference(forward_subsumption_resolution,[],[f84798,f73487]) ).
fof(f84800,plain,
spl1178_61,
inference(avatar_contradiction_clause,[],[f84799]) ).
fof(f84947,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ m1_subset_1(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ m1_subset_1(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92))) ),
inference(resolution,[],[f75184,f84482]) ).
fof(f84958,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ m1_subset_1(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92))) ),
inference(forward_subsumption_resolution,[],[f84947,f75182]) ).
fof(f84964,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92)) ),
inference(forward_subsumption_resolution,[],[f84958,f75183]) ).
fof(f84970,plain,
( ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92)) ),
inference(forward_subsumption_resolution,[],[f84964,f73497]) ).
fof(f84972,definition,
( spl1178_73
<=> l1_orders_2(k1_latsum_1(sK91,sK92)) ),
introduced(definition,[new_symbols(definition,[spl1178_73])],[avatar_definition]) ).
fof(f84973,plain,
( l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_73 ),
inference(avatar_component_clause,[],[f84972]) ).
fof(f84974,plain,
( ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| spl1178_73 ),
inference(avatar_component_clause,[],[f84972]) ).
fof(f84975,plain,
( ~ spl1178_54
| spl1178_62
| ~ spl1178_73 ),
inference(avatar_split_clause,[],[f84970,f84972,f84775,f84670]) ).
fof(f85016,plain,
( ~ l1_orders_2(sK91)
| ~ l1_orders_2(sK92)
| spl1178_73 ),
inference(resolution,[],[f84974,f73754]) ).
fof(f85017,plain,
( ~ l1_orders_2(sK92)
| spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85016,f73486]) ).
fof(f85018,plain,
( $false
| spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85017,f73487]) ).
fof(f85019,plain,
spl1178_73,
inference(avatar_contradiction_clause,[],[f85018]) ).
fof(f85146,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ m1_subset_1(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ m1_subset_1(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92))) ),
inference(resolution,[],[f75185,f84482]) ).
fof(f85157,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ m1_subset_1(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92))) ),
inference(forward_subsumption_resolution,[],[f85146,f75183]) ).
fof(f85163,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92)) ),
inference(forward_subsumption_resolution,[],[f85157,f75182]) ).
fof(f85169,plain,
( ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92)) ),
inference(forward_subsumption_resolution,[],[f85163,f73497]) ).
fof(f85170,plain,
( r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85169,f84973]) ).
fof(f85171,plain,
( ~ r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| spl1178_54
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85170,f84671]) ).
fof(f85172,plain,
( ~ spl1178_62
| spl1178_54
| ~ spl1178_73 ),
inference(avatar_split_clause,[],[f85171,f84972,f84670,f84775]) ).
fof(f85447,plain,
! [X0,X1] :
( ~ r1_orders_2(k1_latsum_1(sK91,sK92),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| r2_hidden(X0,u1_struct_0(sK91))
| r2_hidden(X1,u1_struct_0(sK92)) ),
inference(resolution,[],[f81789,f84550]) ).
fof(f85450,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ 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(k1_latsum_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)),u1_orders_2(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(resolution,[],[f81789,f81137]) ).
fof(f85451,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ 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(k1_latsum_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)),u1_orders_2(X0))
| ~ 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(resolution,[],[f81789,f81138]) ).
fof(f85477,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)),u1_orders_2(X0))
| ~ 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_subsumption_resolution,[],[f85451,f73754]) ).
fof(f85478,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)),u1_orders_2(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_subsumption_resolution,[],[f85450,f73754]) ).
fof(f85479,plain,
( ! [X0,X1] :
( ~ r1_orders_2(k1_latsum_1(sK91,sK92),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK91,sK92)))
| r2_hidden(X0,u1_struct_0(sK91))
| r2_hidden(X1,u1_struct_0(sK92)) )
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85447,f84973]) ).
fof(f85531,plain,
( ~ m1_subset_1(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ m1_subset_1(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_73 ),
inference(resolution,[],[f85479,f75184]) ).
fof(f85538,plain,
( ~ m1_subset_1(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ m1_subset_1(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_73 ),
inference(resolution,[],[f85479,f75185]) ).
fof(f85561,plain,
( ~ m1_subset_1(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85538,f75183]) ).
fof(f85562,plain,
( ~ m1_subset_1(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85531,f75182]) ).
fof(f85563,plain,
( r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85561,f75182]) ).
fof(f85564,plain,
( r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85562,f75183]) ).
fof(f85565,plain,
( r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| spl1178_65
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85563,f84790]) ).
fof(f85566,plain,
( r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| spl1178_57
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85564,f84685]) ).
fof(f85567,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| spl1178_54
| spl1178_65
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85565,f84671]) ).
fof(f85568,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| spl1178_57
| spl1178_62
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85566,f84776]) ).
fof(f85569,plain,
( ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| spl1178_54
| spl1178_65
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85567,f73497]) ).
fof(f85570,plain,
( ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| spl1178_57
| spl1178_62
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85568,f73497]) ).
fof(f85571,plain,
( $false
| spl1178_54
| spl1178_65
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85569,f84973]) ).
fof(f85572,plain,
( spl1178_54
| spl1178_65
| ~ spl1178_73 ),
inference(avatar_contradiction_clause,[],[f85571]) ).
fof(f85573,plain,
( $false
| spl1178_57
| spl1178_62
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f85570,f84973]) ).
fof(f85574,plain,
( spl1178_57
| spl1178_62
| ~ spl1178_73 ),
inference(avatar_contradiction_clause,[],[f85573]) ).
fof(f85598,plain,
! [X0,X1] :
( ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| r2_hidden(k2_tarski(k2_tarski(sK403(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1))),k2_tarski(sK403(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))),u1_orders_2(X1))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X1))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1)) ),
inference(resolution,[],[f85478,f75184]) ).
fof(f85605,plain,
! [X0,X1] :
( ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| r2_hidden(k2_tarski(k2_tarski(sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1))),k2_tarski(sK402(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1)))),u1_orders_2(X1))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X1))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1)) ),
inference(resolution,[],[f85478,f75185]) ).
fof(f85634,plain,
! [X0,X1] :
( ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| r2_hidden(k2_tarski(k2_tarski(sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1))),k2_tarski(sK402(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1)))),u1_orders_2(X1))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X1))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f85605,f73754]) ).
fof(f85641,plain,
! [X0,X1] :
( ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| r2_hidden(k2_tarski(k2_tarski(sK403(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1))),k2_tarski(sK403(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))),u1_orders_2(X1))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X1))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f85598,f73754]) ).
fof(f85648,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK402(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1))),k2_tarski(sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))),u1_orders_2(X1))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X1))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(forward_demodulation,[],[f85634,f74979]) ).
fof(f85655,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1))),k2_tarski(sK403(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))),u1_orders_2(X1))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X1))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(forward_demodulation,[],[f85641,f74979]) ).
fof(f85670,plain,
! [X0,X1] :
( ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| r2_hidden(k2_tarski(k2_tarski(sK403(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1))),k2_tarski(sK403(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))),u1_orders_2(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1)) ),
inference(resolution,[],[f85477,f75184]) ).
fof(f85677,plain,
! [X0,X1] :
( ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| r2_hidden(k2_tarski(k2_tarski(sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1))),k2_tarski(sK402(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1)))),u1_orders_2(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1)) ),
inference(resolution,[],[f85477,f75185]) ).
fof(f85706,plain,
! [X0,X1] :
( ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| r2_hidden(k2_tarski(k2_tarski(sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1))),k2_tarski(sK402(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1)))),u1_orders_2(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f85677,f73754]) ).
fof(f85713,plain,
! [X0,X1] :
( ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| r2_hidden(k2_tarski(k2_tarski(sK403(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1))),k2_tarski(sK403(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))),u1_orders_2(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f85670,f73754]) ).
fof(f85720,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK402(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1))),k2_tarski(sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))),u1_orders_2(X0))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(forward_demodulation,[],[f85706,f74979]) ).
fof(f85727,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1))),k2_tarski(sK403(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))),u1_orders_2(X0))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(forward_demodulation,[],[f85713,f74979]) ).
fof(f86326,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X1,X1)),u1_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))
| ~ l1_orders_2(X2) ),
inference(superposition,[],[f81788,f74979]) ).
fof(f86328,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,X1)),u1_orders_2(X2))
| r1_orders_2(X2,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ l1_orders_2(X2) ),
inference(superposition,[],[f81788,f74979]) ).
fof(f88016,plain,
! [X0,X1] :
( r1_orders_2(X0,sK403(k1_latsum_1(X1,X0)),sK402(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0)) ),
inference(resolution,[],[f86326,f85655]) ).
fof(f88017,plain,
! [X0,X1] :
( r1_orders_2(X0,sK403(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(resolution,[],[f86326,f85727]) ).
fof(f88022,plain,
! [X0,X1] :
( r1_orders_2(X0,sK403(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(duplicate_literal_removal,[],[f88017]) ).
fof(f88023,plain,
! [X0,X1] :
( r1_orders_2(X0,sK403(k1_latsum_1(X1,X0)),sK402(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0)) ),
inference(duplicate_literal_removal,[],[f88016]) ).
fof(f88025,plain,
! [X0,X1] :
( r1_orders_2(X0,sK403(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f88022,f73768]) ).
fof(f88026,plain,
! [X0,X1] :
( r1_orders_2(X0,sK403(k1_latsum_1(X1,X0)),sK402(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f88023,f73768]) ).
fof(f88027,plain,
! [X0,X1] :
( r1_orders_2(X0,sK403(k1_latsum_1(X0,X1)),sK402(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f88025,f73768]) ).
fof(f88028,plain,
! [X0,X1] :
( r1_orders_2(X0,sK403(k1_latsum_1(X1,X0)),sK402(k1_latsum_1(X1,X0)))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f88026,f73768]) ).
fof(f88046,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| ~ r1_orders_2(X0,sK402(k1_latsum_1(X1,X0)),sK403(k1_latsum_1(X1,X0)))
| sK403(k1_latsum_1(X1,X0)) = sK402(k1_latsum_1(X1,X0))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f88028,f75224]) ).
fof(f88051,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| ~ r1_orders_2(X0,sK402(k1_latsum_1(X1,X0)),sK403(k1_latsum_1(X1,X0)))
| sK403(k1_latsum_1(X1,X0)) = sK402(k1_latsum_1(X1,X0))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ v4_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f88046]) ).
fof(f88060,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| ~ r1_orders_2(X0,sK402(k1_latsum_1(X1,X0)),sK403(k1_latsum_1(X1,X0)))
| sK403(k1_latsum_1(X1,X0)) = sK402(k1_latsum_1(X1,X0))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ v4_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f88051,f73768]) ).
fof(f88073,plain,
! [X0,X1] :
( ~ r1_orders_2(X0,sK402(k1_latsum_1(X1,X0)),sK403(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| ~ l1_orders_2(X0)
| sK403(k1_latsum_1(X1,X0)) = sK402(k1_latsum_1(X1,X0))
| ~ v4_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f88060,f73768]) ).
fof(f88115,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ r1_orders_2(X0,sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))
| sK403(k1_latsum_1(X0,X1)) = sK402(k1_latsum_1(X0,X1))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f88027,f75224]) ).
fof(f88120,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ r1_orders_2(X0,sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))
| sK403(k1_latsum_1(X0,X1)) = sK402(k1_latsum_1(X0,X1))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ v4_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f88115]) ).
fof(f88129,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ r1_orders_2(X0,sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))
| sK403(k1_latsum_1(X0,X1)) = sK402(k1_latsum_1(X0,X1))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ v4_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f88120,f73768]) ).
fof(f88142,plain,
! [X0,X1] :
( ~ r1_orders_2(X0,sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| sK403(k1_latsum_1(X0,X1)) = sK402(k1_latsum_1(X0,X1))
| ~ v4_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f88129,f73768]) ).
fof(f88533,plain,
! [X0,X1] :
( r1_orders_2(X0,sK402(k1_latsum_1(X1,X0)),sK403(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0)) ),
inference(resolution,[],[f86328,f85648]) ).
fof(f88534,plain,
! [X0,X1] :
( r1_orders_2(X0,sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(resolution,[],[f86328,f85720]) ).
fof(f88539,plain,
! [X0,X1] :
( r1_orders_2(X0,sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(duplicate_literal_removal,[],[f88534]) ).
fof(f88540,plain,
! [X0,X1] :
( r1_orders_2(X0,sK402(k1_latsum_1(X1,X0)),sK403(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0)) ),
inference(duplicate_literal_removal,[],[f88533]) ).
fof(f88542,plain,
! [X0,X1] :
( r1_orders_2(X0,sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f88539,f73768]) ).
fof(f88543,plain,
! [X0,X1] :
( r1_orders_2(X0,sK402(k1_latsum_1(X1,X0)),sK403(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f88540,f73768]) ).
fof(f88544,plain,
! [X0,X1] :
( r1_orders_2(X0,sK402(k1_latsum_1(X0,X1)),sK403(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f88542,f73768]) ).
fof(f88545,plain,
! [X0,X1] :
( r1_orders_2(X0,sK402(k1_latsum_1(X1,X0)),sK403(k1_latsum_1(X1,X0)))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f88543,f73768]) ).
fof(f88557,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| ~ l1_orders_2(X0)
| sK403(k1_latsum_1(X1,X0)) = sK402(k1_latsum_1(X1,X0))
| ~ v4_orders_2(X0) ),
inference(resolution,[],[f88545,f88073]) ).
fof(f88578,plain,
! [X0,X1] :
( ~ m1_subset_1(sK403(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| sK403(k1_latsum_1(X1,X0)) = sK402(k1_latsum_1(X1,X0))
| ~ v4_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f88557]) ).
fof(f88630,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| sK403(k1_latsum_1(X0,X1)) = sK402(k1_latsum_1(X0,X1))
| ~ v4_orders_2(X0) ),
inference(resolution,[],[f88544,f88142]) ).
fof(f88649,plain,
! [X0,X1] :
( ~ m1_subset_1(sK403(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(sK402(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X0,X1)),u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1))
| sK403(k1_latsum_1(X0,X1)) = sK402(k1_latsum_1(X0,X1))
| ~ v4_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f88630]) ).
fof(f88762,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| sK403(k1_latsum_1(X1,X0)) = sK402(k1_latsum_1(X1,X0))
| ~ v4_orders_2(X0)
| v4_orders_2(k1_latsum_1(X1,X0))
| ~ l1_orders_2(k1_latsum_1(X1,X0)) ),
inference(resolution,[],[f88578,f75183]) ).
fof(f88763,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| sK403(k1_latsum_1(X1,X0)) = sK402(k1_latsum_1(X1,X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(k1_latsum_1(X1,X0)) ),
inference(duplicate_literal_removal,[],[f88762]) ).
fof(f88764,plain,
! [X0,X1] :
( ~ m1_subset_1(sK402(k1_latsum_1(X1,X0)),u1_struct_0(k1_latsum_1(X1,X0)))
| ~ l1_orders_2(X0)
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| sK403(k1_latsum_1(X1,X0)) = sK402(k1_latsum_1(X1,X0))
| ~ v4_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f88763,f73754]) ).
fof(f88766,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| sK403(k1_latsum_1(X1,X0)) = sK402(k1_latsum_1(X1,X0))
| ~ v4_orders_2(X0)
| v4_orders_2(k1_latsum_1(X1,X0))
| ~ l1_orders_2(k1_latsum_1(X1,X0)) ),
inference(resolution,[],[f88764,f75182]) ).
fof(f88767,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| sK403(k1_latsum_1(X1,X0)) = sK402(k1_latsum_1(X1,X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(k1_latsum_1(X1,X0)) ),
inference(duplicate_literal_removal,[],[f88766]) ).
fof(f88768,plain,
! [X0,X1] :
( ~ r2_hidden(sK403(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ r2_hidden(sK402(k1_latsum_1(X1,X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ r1_latsum_1(X1,X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X1,X0))
| sK403(k1_latsum_1(X1,X0)) = sK402(k1_latsum_1(X1,X0))
| ~ v4_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f88767,f73754]) ).
fof(f88840,plain,
( ~ l1_orders_2(sK91)
| ~ m1_subset_1(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| ~ r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| ~ r1_latsum_1(sK91,sK92)
| ~ v3_orders_2(sK91)
| ~ l1_orders_2(sK92)
| v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK91)
| ~ spl1178_53 ),
inference(resolution,[],[f88649,f84667]) ).
fof(f88844,plain,
( ~ m1_subset_1(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(k1_latsum_1(sK91,sK92)))
| ~ r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| ~ r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| ~ r1_latsum_1(sK91,sK92)
| ~ v3_orders_2(sK91)
| ~ l1_orders_2(sK92)
| v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK91)
| ~ spl1178_53 ),
inference(forward_subsumption_resolution,[],[f88840,f73486]) ).
fof(f88845,plain,
( ~ r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| ~ r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| ~ r1_latsum_1(sK91,sK92)
| ~ v3_orders_2(sK91)
| ~ l1_orders_2(sK92)
| v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK91)
| ~ spl1178_53
| ~ spl1178_61 ),
inference(forward_subsumption_resolution,[],[f88844,f84772]) ).
fof(f88846,plain,
( ~ r2_hidden(sK403(k1_latsum_1(sK91,sK92)),u1_struct_0(sK91))
| ~ r1_latsum_1(sK91,sK92)
| ~ v3_orders_2(sK91)
| ~ l1_orders_2(sK92)
| v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK91)
| ~ spl1178_53
| ~ spl1178_61
| ~ spl1178_65 ),
inference(forward_subsumption_resolution,[],[f88845,f84789]) ).
fof(f88847,plain,
( ~ r1_latsum_1(sK91,sK92)
| ~ v3_orders_2(sK91)
| ~ l1_orders_2(sK92)
| v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK91)
| ~ spl1178_53
| ~ spl1178_57
| ~ spl1178_61
| ~ spl1178_65 ),
inference(forward_subsumption_resolution,[],[f88846,f84684]) ).
fof(f88848,plain,
( ~ v3_orders_2(sK91)
| ~ l1_orders_2(sK92)
| v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK91)
| ~ spl1178_53
| ~ spl1178_57
| ~ spl1178_61
| ~ spl1178_65 ),
inference(forward_subsumption_resolution,[],[f88847,f73496]) ).
fof(f88849,plain,
( ~ l1_orders_2(sK92)
| v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK91)
| ~ spl1178_53
| ~ spl1178_57
| ~ spl1178_61
| ~ spl1178_65 ),
inference(forward_subsumption_resolution,[],[f88848,f73491]) ).
fof(f88850,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK91)
| ~ spl1178_53
| ~ spl1178_57
| ~ spl1178_61
| ~ spl1178_65 ),
inference(forward_subsumption_resolution,[],[f88849,f73487]) ).
fof(f88851,plain,
( sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK91)
| ~ spl1178_53
| ~ spl1178_57
| ~ spl1178_61
| ~ spl1178_65 ),
inference(forward_subsumption_resolution,[],[f88850,f73497]) ).
fof(f88852,plain,
( sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ spl1178_53
| ~ spl1178_57
| ~ spl1178_61
| ~ spl1178_65 ),
inference(forward_subsumption_resolution,[],[f88851,f73490]) ).
fof(f88913,plain,
( sK402(k1_latsum_1(sK91,sK92)) != sK402(k1_latsum_1(sK91,sK92))
| v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_53
| ~ spl1178_57
| ~ spl1178_61
| ~ spl1178_65 ),
inference(superposition,[],[f75186,f88852]) ).
fof(f88917,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_53
| ~ spl1178_57
| ~ spl1178_61
| ~ spl1178_65 ),
inference(trivial_inequality_removal,[],[f88913]) ).
fof(f88962,plain,
( ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_53
| ~ spl1178_57
| ~ spl1178_61
| ~ spl1178_65 ),
inference(forward_subsumption_resolution,[],[f88917,f73497]) ).
fof(f88969,plain,
( $false
| ~ spl1178_53
| ~ spl1178_57
| ~ spl1178_61
| ~ spl1178_65
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f88962,f84973]) ).
fof(f88970,plain,
( ~ spl1178_53
| ~ spl1178_57
| ~ spl1178_61
| ~ spl1178_65
| ~ spl1178_73 ),
inference(avatar_contradiction_clause,[],[f88969]) ).
fof(f89017,plain,
( ~ r2_hidden(sK402(k1_latsum_1(sK91,sK92)),u1_struct_0(sK92))
| ~ l1_orders_2(sK92)
| ~ r1_latsum_1(sK91,sK92)
| ~ v3_orders_2(sK92)
| ~ l1_orders_2(sK91)
| v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK92)
| ~ spl1178_54 ),
inference(resolution,[],[f84672,f88768]) ).
fof(f89023,plain,
( ~ l1_orders_2(sK92)
| ~ r1_latsum_1(sK91,sK92)
| ~ v3_orders_2(sK92)
| ~ l1_orders_2(sK91)
| v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK92)
| ~ spl1178_54
| ~ spl1178_62 ),
inference(forward_subsumption_resolution,[],[f89017,f84777]) ).
fof(f89024,plain,
( ~ r1_latsum_1(sK91,sK92)
| ~ v3_orders_2(sK92)
| ~ l1_orders_2(sK91)
| v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK92)
| ~ spl1178_54
| ~ spl1178_62 ),
inference(forward_subsumption_resolution,[],[f89023,f73487]) ).
fof(f89025,plain,
( ~ v3_orders_2(sK92)
| ~ l1_orders_2(sK91)
| v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK92)
| ~ spl1178_54
| ~ spl1178_62 ),
inference(forward_subsumption_resolution,[],[f89024,f73496]) ).
fof(f89026,plain,
( ~ l1_orders_2(sK91)
| v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK92)
| ~ spl1178_54
| ~ spl1178_62 ),
inference(forward_subsumption_resolution,[],[f89025,f73489]) ).
fof(f89027,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK92)
| ~ spl1178_54
| ~ spl1178_62 ),
inference(forward_subsumption_resolution,[],[f89026,f73486]) ).
fof(f89028,plain,
( sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ v4_orders_2(sK92)
| ~ spl1178_54
| ~ spl1178_62 ),
inference(forward_subsumption_resolution,[],[f89027,f73497]) ).
fof(f89029,plain,
( sK403(k1_latsum_1(sK91,sK92)) = sK402(k1_latsum_1(sK91,sK92))
| ~ spl1178_54
| ~ spl1178_62 ),
inference(forward_subsumption_resolution,[],[f89028,f73488]) ).
fof(f89089,plain,
( sK402(k1_latsum_1(sK91,sK92)) != sK402(k1_latsum_1(sK91,sK92))
| v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_54
| ~ spl1178_62 ),
inference(superposition,[],[f75186,f89029]) ).
fof(f89093,plain,
( v4_orders_2(k1_latsum_1(sK91,sK92))
| ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_54
| ~ spl1178_62 ),
inference(trivial_inequality_removal,[],[f89089]) ).
fof(f89138,plain,
( ~ l1_orders_2(k1_latsum_1(sK91,sK92))
| ~ spl1178_54
| ~ spl1178_62 ),
inference(forward_subsumption_resolution,[],[f89093,f73497]) ).
fof(f89145,plain,
( $false
| ~ spl1178_54
| ~ spl1178_62
| ~ spl1178_73 ),
inference(forward_subsumption_resolution,[],[f89138,f84973]) ).
fof(f89146,plain,
( ~ spl1178_54
| ~ spl1178_62
| ~ spl1178_73 ),
inference(avatar_contradiction_clause,[],[f89145]) ).
cnf(s44,plain,
spl1178_53,
inference(sat_conversion,[],[f84695]) ).
cnf(s48,plain,
spl1178_61,
inference(sat_conversion,[],[f84800]) ).
cnf(s52,plain,
( ~ spl1178_54
| spl1178_62
| ~ spl1178_73 ),
inference(sat_conversion,[],[f84975]) ).
cnf(s55,plain,
spl1178_73,
inference(sat_conversion,[],[f85019]) ).
cnf(s57,plain,
( spl1178_54
| ~ spl1178_62
| ~ spl1178_73 ),
inference(sat_conversion,[],[f85172]) ).
cnf(s61,plain,
( spl1178_54
| spl1178_65
| ~ spl1178_73 ),
inference(sat_conversion,[],[f85572]) ).
cnf(s62,plain,
( spl1178_57
| spl1178_62
| ~ spl1178_73 ),
inference(sat_conversion,[],[f85574]) ).
cnf(s78,plain,
( ~ spl1178_53
| ~ spl1178_57
| ~ spl1178_61
| ~ spl1178_65
| ~ spl1178_73 ),
inference(sat_conversion,[],[f88970]) ).
cnf(s83,plain,
( ~ spl1178_54
| ~ spl1178_62
| ~ spl1178_73 ),
inference(sat_conversion,[],[f89146]) ).
cnf(s88,plain,
( ~ spl1178_54
| spl1178_62 ),
inference(rat,[],[s52,s55]) ).
cnf(s96,plain,
spl1178_54,
inference(rat,[],[s62,s78,s57,s61,s55,s48,s44]) ).
cnf(s97,plain,
~ spl1178_62,
inference(rat,[],[s83,s55,s96]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s88,s97,s96]) ).
fof(f89171,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU414+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 05:15:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 18.71/7.93 % (3046541)Detected formulas, will run a generic FOF schedule.
% 18.71/7.93 % (3046550)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3284684685:i=119:av=off:ss=axioms_2948 on theBenchmark for (2948ds/119Mi)
% 18.71/7.93 % (3046547)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=617166513:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2948 on theBenchmark for (2948ds/134677Mi)
% 18.71/7.93 % (3046546)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=1584139085:i=141193_2948 on theBenchmark for (2948ds/141193Mi)
% 18.71/7.93 % (3046548)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=3793724574:i=141695:sd=1:nm=32:gsp=on:ss=included_2948 on theBenchmark for (2948ds/141695Mi)
% 18.71/7.93 % (3046549)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3597890147:i=109:sd=1:ins=1:gsp=on:ss=axioms_2948 on theBenchmark for (2948ds/109Mi)
% 18.71/7.93 % (3046550)Instruction limit reached!
% 18.71/7.93 % (3046550)------------------------------
% 18.71/7.93 % (3046550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.71/7.93 % (3046550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.71/7.93 % (3046550)CaDiCaL version: 2.1.3
% 18.71/7.93 % (3046550)Termination reason: Instruction limit
% 18.71/7.93 % (3046550)Termination phase: SInE selection
% 18.71/7.93 % (3046550)Time elapsed: 0.054 s
% 18.71/7.93 % (3046550)Peak memory usage: 193 MB
% 18.71/7.93 % (3046550)Instructions burned: 119 (million)
% 18.71/7.93 % (3046551)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=96110399:s2a=on:i=139:gtg=position_2948 on theBenchmark for (2948ds/139Mi)
% 18.71/7.93 % (3046552)dis-21_1_sil=8000:lcm=predicate:random_seed=594575651:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2948 on theBenchmark for (2948ds/129Mi)
% 18.71/7.93 % (3046549)Instruction limit reached!
% 18.71/7.93 % (3046549)------------------------------
% 18.71/7.93 % (3046549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.71/7.93 % (3046549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.71/7.93 % (3046549)CaDiCaL version: 2.1.3
% 18.71/7.93 % (3046549)Termination reason: Instruction limit
% 18.71/7.93 % (3046549)Termination phase: SInE selection
% 18.71/7.93 % (3046549)Time elapsed: 0.086 s
% 18.71/7.93 % (3046549)Peak memory usage: 193 MB
% 18.71/7.93 % (3046549)Instructions burned: 109 (million)
% 18.71/7.93 % (3046551)Instruction limit reached!
% 18.71/7.93 % (3046551)------------------------------
% 18.71/7.93 % (3046551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.71/7.93 % (3046551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.71/7.93 % (3046551)CaDiCaL version: 2.1.3
% 18.71/7.93 % (3046551)Termination reason: Instruction limit
% 18.71/7.93 % (3046551)Termination phase: Property scanning
% 18.71/7.93 % (3046551)Time elapsed: 0.069 s
% 18.71/7.93 % (3046551)Peak memory usage: 193 MB
% 18.71/7.93 % (3046551)Instructions burned: 141 (million)
% 18.71/7.93 % (3046552)Instruction limit reached!
% 18.71/7.93 % (3046552)------------------------------
% 18.71/7.93 % (3046552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.71/7.93 % (3046552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.71/7.93 % (3046552)CaDiCaL version: 2.1.3
% 18.71/7.93 % (3046552)Termination reason: Instruction limit
% 18.71/7.93 % (3046552)Termination phase: SInE selection
% 18.71/7.93 % (3046552)Time elapsed: 0.100 s
% 18.71/7.93 % (3046552)Peak memory usage: 193 MB
% 18.71/7.93 % (3046552)Instructions burned: 130 (million)
% 18.71/7.93 % (3046560)lrs+10_1_sil=8000:sp=occurrence:random_seed=300336044:i=285:sd=3:ss=axioms:sgt=8_2946 on theBenchmark for (2946ds/285Mi)
% 18.71/7.93 % (3046561)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2254742892:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2945 on theBenchmark for (2945ds/157Mi)
% 18.71/7.93 % (3046562)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3294713372:i=325:sd=1:ss=axioms:sgt=32_2945 on theBenchmark for (2945ds/325Mi)
% 18.71/7.93 % (3046560)Instruction limit reached!
% 18.71/7.93 % (3046560)------------------------------
% 18.71/7.93 % (3046560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.71/7.93 % (3046560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/8.82 % (3046560)CaDiCaL version: 2.1.3
% 24.93/8.82 % (3046560)Termination reason: Instruction limit
% 24.93/8.82 % (3046560)Termination phase: SInE selection
% 24.93/8.82 % (3046560)Time elapsed: 0.123 s
% 24.93/8.82 % (3046560)Peak memory usage: 193 MB
% 24.93/8.82 % (3046560)Instructions burned: 285 (million)
% 24.93/8.82 % (3046563)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=1330946995:s2a=on:i=248:s2at=1.23:gtg=position_2945 on theBenchmark for (2945ds/248Mi)
% 24.93/8.82 % (3046561)Instruction limit reached!
% 24.93/8.82 % (3046561)------------------------------
% 24.93/8.82 % (3046561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.93/8.82 % (3046561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/8.82 % (3046561)CaDiCaL version: 2.1.3
% 24.93/8.82 % (3046561)Termination reason: Instruction limit
% 24.93/8.82 % (3046561)Termination phase: Property scanning
% 24.93/8.82 % (3046561)Time elapsed: 0.075 s
% 24.93/8.82 % (3046561)Peak memory usage: 193 MB
% 24.93/8.82 % (3046561)Instructions burned: 159 (million)
% 24.93/8.82 % (3046567)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1495340905:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2943 on theBenchmark for (2943ds/294Mi)
% 24.93/8.82 % (3046563)Instruction limit reached!
% 24.93/8.82 % (3046563)------------------------------
% 24.93/8.82 % (3046563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.93/8.82 % (3046563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/8.82 % (3046563)CaDiCaL version: 2.1.3
% 24.93/8.82 % (3046563)Termination reason: Instruction limit
% 24.93/8.82 % (3046563)Termination phase: Property scanning
% 24.93/8.82 % (3046563)Time elapsed: 0.115 s
% 24.93/8.82 % (3046563)Peak memory usage: 193 MB
% 24.93/8.82 % (3046563)Instructions burned: 249 (million)
% 24.93/8.82 % (3046569)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2617079839:i=2350_2943 on theBenchmark for (2943ds/2350Mi)
% 24.93/8.82 % (3046562)Instruction limit reached!
% 24.93/8.82 % (3046562)------------------------------
% 24.93/8.82 % (3046562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.93/8.82 % (3046562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/8.82 % (3046562)CaDiCaL version: 2.1.3
% 24.93/8.82 % (3046562)Termination reason: Instruction limit
% 24.93/8.82 % (3046562)Termination phase: SInE selection
% 24.93/8.82 % (3046562)Time elapsed: 0.252 s
% 24.93/8.82 % (3046562)Peak memory usage: 193 MB
% 24.93/8.82 % (3046562)Instructions burned: 325 (million)
% 24.93/8.82 % (3046567)Instruction limit reached!
% 24.93/8.82 % (3046567)------------------------------
% 24.93/8.82 % (3046567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.93/8.82 % (3046567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/8.82 % (3046567)CaDiCaL version: 2.1.3
% 24.93/8.82 % (3046567)Termination reason: Instruction limit
% 24.93/8.82 % (3046567)Termination phase: SInE selection
% 24.93/8.82 % (3046567)Time elapsed: 0.125 s
% 24.93/8.82 % (3046567)Peak memory usage: 193 MB
% 24.93/8.82 % (3046567)Instructions burned: 297 (million)
% 24.93/8.82 % (3046571)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=222411360:cts=off:i=113:fsr=off:ss=included:sgt=4_2942 on theBenchmark for (2942ds/113Mi)
% 24.93/8.82 % (3046574)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2551200317:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2941 on theBenchmark for (2941ds/114Mi)
% 24.93/8.82 % (3046573)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4219706046:i=127:av=off:fsr=off:sup=off_2941 on theBenchmark for (2941ds/127Mi)
% 24.93/8.82 % (3046574)Instruction limit reached!
% 24.93/8.82 % (3046574)------------------------------
% 24.93/8.82 % (3046574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.93/8.82 % (3046574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.93/8.82 % (3046574)CaDiCaL version: 2.1.3
% 24.93/8.82 % (3046574)Termination reason: Instruction limit
% 24.93/8.82 % (3046574)Termination phase: Property scanning
% 24.93/8.82 % (3046574)Time elapsed: 0.032 s
% 24.93/8.82 % (3046574)Peak memory usage: 193 MB
% 24.93/8.82 % (3046574)Instructions burned: 117 (million)
% 24.93/8.82 % (3046571)Instruction limit reached!
% 24.93/8.82 % (3046571)------------------------------
% 24.93/8.82 % (3046571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.39/13.68 % (3046571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.39/13.68 % (3046571)CaDiCaL version: 2.1.3
% 59.39/13.68 % (3046571)Termination reason: Instruction limit
% 59.39/13.68 % (3046571)Termination phase: SInE selection
% 59.39/13.68 % (3046571)Time elapsed: 0.091 s
% 59.39/13.68 % (3046571)Peak memory usage: 193 MB
% 59.39/13.68 % (3046571)Instructions burned: 113 (million)
% 59.39/13.68 % (3046573)Instruction limit reached!
% 59.39/13.68 % (3046573)------------------------------
% 59.39/13.68 % (3046573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.39/13.68 % (3046573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.39/13.68 % (3046573)CaDiCaL version: 2.1.3
% 59.39/13.68 % (3046573)Termination reason: Instruction limit
% 59.39/13.68 % (3046573)Termination phase: Preprocessing 1
% 59.39/13.68 % (3046573)Time elapsed: 0.102 s
% 59.39/13.68 % (3046573)Peak memory usage: 194 MB
% 59.39/13.68 % (3046573)Instructions burned: 127 (million)
% 59.39/13.68 % (3046579)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2329857536:i=437:sd=1:aac=none:ss=included_2939 on theBenchmark for (2939ds/437Mi)
% 59.39/13.68 % (3046578)lrs+10_1_sil=8000:sp=occurrence:random_seed=1179395393:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2939 on theBenchmark for (2939ds/907Mi)
% 59.39/13.68 % (3046580)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=89865901:i=5202:ss=axioms:sgt=16_2938 on theBenchmark for (2938ds/5202Mi)
% 59.39/13.68 % (3046579)Instruction limit reached!
% 59.39/13.68 % (3046579)------------------------------
% 59.39/13.68 % (3046579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.39/13.68 % (3046579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.39/13.68 % (3046579)CaDiCaL version: 2.1.3
% 59.39/13.68 % (3046579)Termination reason: Instruction limit
% 59.39/13.68 % (3046579)Termination phase: SInE selection
% 59.39/13.68 % (3046579)Time elapsed: 0.186 s
% 59.39/13.68 % (3046579)Peak memory usage: 194 MB
% 59.39/13.68 % (3046579)Instructions burned: 439 (million)
% 59.39/13.68 % (3046584)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2402603883:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2936 on theBenchmark for (2936ds/134Mi)
% 59.39/13.68 % (3046584)Instruction limit reached!
% 59.39/13.68 % (3046584)------------------------------
% 59.39/13.68 % (3046584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.39/13.68 % (3046584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.39/13.68 % (3046584)CaDiCaL version: 2.1.3
% 59.39/13.68 % (3046584)Termination reason: Instruction limit
% 59.39/13.68 % (3046584)Termination phase: SInE selection
% 59.39/13.68 % (3046584)Time elapsed: 0.059 s
% 59.39/13.68 % (3046584)Peak memory usage: 193 MB
% 59.39/13.68 % (3046584)Instructions burned: 135 (million)
% 59.39/13.68 % (3046586)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4052639418:st=8:i=592:sd=3:ep=RST:ss=axioms_2934 on theBenchmark for (2934ds/592Mi)
% 59.39/13.68 % (3046578)Instruction limit reached!
% 59.39/13.68 % (3046578)------------------------------
% 59.39/13.68 % (3046578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.39/13.68 % (3046578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.39/13.68 % (3046578)CaDiCaL version: 2.1.3
% 59.39/13.68 % (3046578)Termination reason: Instruction limit
% 59.39/13.68 % (3046578)Termination phase: Naming
% 59.39/13.68 % (3046578)Time elapsed: 0.703 s
% 59.39/13.68 % (3046578)Peak memory usage: 204 MB
% 59.39/13.68 % (3046578)Instructions burned: 907 (million)
% 59.39/13.68 % (3046586)Instruction limit reached!
% 59.39/13.68 % (3046586)------------------------------
% 59.39/13.68 % (3046586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.39/13.68 % (3046586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.39/13.68 % (3046586)CaDiCaL version: 2.1.3
% 59.39/13.68 % (3046586)Termination reason: Instruction limit
% 59.39/13.68 % (3046586)Termination phase: SInE selection
% 59.39/13.68 % (3046586)Time elapsed: 0.218 s
% 59.39/13.68 % (3046586)Peak memory usage: 195 MB
% 59.39/13.68 % (3046586)Instructions burned: 593 (million)
% 59.39/13.68 % (3046589)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=2135852841:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2930 on theBenchmark for (2930ds/125Mi)
% 59.39/13.68 % (3046589)Instruction limit reached!
% 59.39/13.68 % (3046589)------------------------------
% 85.40/17.59 % (3046589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.40/17.59 % (3046589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.40/17.59 % (3046589)CaDiCaL version: 2.1.3
% 85.40/17.59 % (3046589)Termination reason: Instruction limit
% 85.40/17.59 % (3046589)Termination phase: Property scanning
% 85.40/17.59 % (3046589)Time elapsed: 0.034 s
% 85.40/17.59 % (3046589)Peak memory usage: 193 MB
% 85.40/17.59 % (3046589)Instructions burned: 126 (million)
% 85.40/17.59 % (3046588)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3351197326:st=3:i=13193:sd=3:ss=axioms_2930 on theBenchmark for (2930ds/13193Mi)
% 85.40/17.59 % (3046592)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3181629629:i=134:gtgl=5:slsql=off:gtg=exists_sym_2929 on theBenchmark for (2929ds/134Mi)
% 85.40/17.59 % (3046592)Instruction limit reached!
% 85.40/17.59 % (3046592)------------------------------
% 85.40/17.59 % (3046592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.40/17.59 % (3046592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.40/17.59 % (3046592)CaDiCaL version: 2.1.3
% 85.40/17.59 % (3046592)Termination reason: Instruction limit
% 85.40/17.59 % (3046592)Termination phase: Property scanning
% 85.40/17.59 % (3046592)Time elapsed: 0.036 s
% 85.40/17.59 % (3046592)Peak memory usage: 193 MB
% 85.40/17.59 % (3046592)Instructions burned: 136 (million)
% 85.40/17.59 % (3046594)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=537477369:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2927 on theBenchmark for (2927ds/141Mi)
% 85.40/17.59 % (3046594)Instruction limit reached!
% 85.40/17.59 % (3046594)------------------------------
% 85.40/17.59 % (3046594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.40/17.59 % (3046594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.40/17.59 % (3046594)CaDiCaL version: 2.1.3
% 85.40/17.59 % (3046594)Termination reason: Instruction limit
% 85.40/17.59 % (3046594)Termination phase: SInE selection
% 85.40/17.59 % (3046594)Time elapsed: 0.063 s
% 85.40/17.59 % (3046594)Peak memory usage: 193 MB
% 85.40/17.59 % (3046594)Instructions burned: 143 (million)
% 85.40/17.59 % (3046596)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2534461765:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2925 on theBenchmark for (2925ds/431Mi)
% 85.40/17.59 % (3046569)Instruction limit reached!
% 85.40/17.59 % (3046569)------------------------------
% 85.40/17.59 % (3046569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.40/17.59 % (3046569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.40/17.59 % (3046569)CaDiCaL version: 2.1.3
% 85.40/17.59 % (3046569)Termination reason: Instruction limit
% 85.40/17.59 % (3046569)Termination phase: Preprocessing 3
% 85.40/17.59 % (3046569)Time elapsed: 1.854 s
% 85.40/17.59 % (3046569)Peak memory usage: 298 MB
% 85.40/17.59 % (3046569)Instructions burned: 2351 (million)
% 85.40/17.59 % (3046596)Instruction limit reached!
% 85.40/17.59 % (3046596)------------------------------
% 85.40/17.59 % (3046596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.40/17.59 % (3046596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.40/17.59 % (3046596)CaDiCaL version: 2.1.3
% 85.40/17.59 % (3046596)Termination reason: Instruction limit
% 85.40/17.59 % (3046596)Termination phase: SInE selection
% 85.40/17.59 % (3046596)Time elapsed: 0.181 s
% 85.40/17.59 % (3046596)Peak memory usage: 194 MB
% 85.40/17.59 % (3046596)Instructions burned: 432 (million)
% 85.40/17.59 % (3046598)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1235715264:i=6060:aac=none:ins=25_2922 on theBenchmark for (2922ds/6060Mi)
% 85.40/17.59 % (3046599)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=865604962:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2922 on theBenchmark for (2922ds/150Mi)
% 85.40/17.59 % (3046599)Instruction limit reached!
% 85.40/17.59 % (3046599)------------------------------
% 85.40/17.59 % (3046599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.40/17.59 % (3046599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.40/17.59 % (3046599)CaDiCaL version: 2.1.3
% 85.40/17.59 % (3046599)Termination reason: Instruction limit
% 99.43/21.86 % (3046599)Termination phase: SInE selection
% 99.43/21.86 % (3046599)Time elapsed: 0.067 s
% 99.43/21.86 % (3046599)Peak memory usage: 193 MB
% 99.43/21.86 % (3046599)Instructions burned: 152 (million)
% 99.43/21.86 % (3046602)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1345331140:i=14155:bd=all_2920 on theBenchmark for (2920ds/14155Mi)
% 99.43/21.86 % (3046580)Instruction limit reached!
% 99.43/21.86 % (3046580)------------------------------
% 99.43/21.86 % (3046580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046580)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046580)Termination reason: Instruction limit
% 99.43/21.86 % (3046580)Termination phase: Saturation
% 99.43/21.86 % (3046580)Time elapsed: 3.322 s
% 99.43/21.86 % (3046580)Peak memory usage: 343 MB
% 99.43/21.86 % (3046580)Instructions burned: 5204 (million)
% 99.43/21.86 % (3046604)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3519598752:i=667:av=off:fsr=off_2903 on theBenchmark for (2903ds/667Mi)
% 99.43/21.86 % (3046604)Instruction limit reached!
% 99.43/21.86 % (3046604)------------------------------
% 99.43/21.86 % (3046604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046604)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046604)Termination reason: Instruction limit
% 99.43/21.86 % (3046604)Termination phase: Preprocessing 2
% 99.43/21.86 % (3046604)Time elapsed: 0.622 s
% 99.43/21.86 % (3046604)Peak memory usage: 210 MB
% 99.43/21.86 % (3046604)Instructions burned: 667 (million)
% 99.43/21.86 % (3046606)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3941016741:s2a=on:i=185:s2at=1.8:fdi=4_2895 on theBenchmark for (2895ds/185Mi)
% 99.43/21.86 % (3046606)Instruction limit reached!
% 99.43/21.86 % (3046606)------------------------------
% 99.43/21.86 % (3046606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046606)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046606)Termination reason: Instruction limit
% 99.43/21.86 % (3046606)Termination phase: SInE selection
% 99.43/21.86 % (3046606)Time elapsed: 0.146 s
% 99.43/21.86 % (3046606)Peak memory usage: 193 MB
% 99.43/21.86 % (3046606)Instructions burned: 185 (million)
% 99.43/21.86 % (3046608)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1360450013:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2891 on theBenchmark for (2891ds/193Mi)
% 99.43/21.86 % (3046608)Instruction limit reached!
% 99.43/21.86 % (3046608)------------------------------
% 99.43/21.86 % (3046608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046608)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046608)Termination reason: Instruction limit
% 99.43/21.86 % (3046608)Termination phase: SInE selection
% 99.43/21.86 % (3046608)Time elapsed: 0.154 s
% 99.43/21.86 % (3046608)Peak memory usage: 193 MB
% 99.43/21.86 % (3046608)Instructions burned: 193 (million)
% 99.43/21.86 % (3046610)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1045522835:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2888 on theBenchmark for (2888ds/4850Mi)
% 99.43/21.86 % (3046602)Instruction limit reached!
% 99.43/21.86 % (3046602)------------------------------
% 99.43/21.86 % (3046602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046602)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046602)Termination reason: Instruction limit
% 99.43/21.86 % (3046602)Termination phase: Property scanning
% 99.43/21.86 % (3046602)Time elapsed: 3.931 s
% 99.43/21.86 % (3046602)Peak memory usage: 416 MB
% 99.43/21.86 % (3046602)Instructions burned: 14159 (million)
% 99.43/21.86 % (3046612)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2133929299:i=12111:sd=1:ss=included_2879 on theBenchmark for (2879ds/12111Mi)
% 99.43/21.86 % (3046598)Instruction limit reached!
% 99.43/21.86 % (3046598)------------------------------
% 99.43/21.86 % (3046598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046598)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046598)Termination reason: Instruction limit
% 99.43/21.86 % (3046598)Termination phase: NewCNF
% 99.43/21.86 % (3046598)Time elapsed: 4.930 s
% 99.43/21.86 % (3046598)Peak memory usage: 367 MB
% 99.43/21.86 % (3046598)Instructions burned: 6061 (million)
% 99.43/21.86 % (3046614)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1490496302:i=319:kws=precedence:fsr=off_2871 on theBenchmark for (2871ds/319Mi)
% 99.43/21.86 % (3046614)Instruction limit reached!
% 99.43/21.86 % (3046614)------------------------------
% 99.43/21.86 % (3046614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046614)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046614)Termination reason: Instruction limit
% 99.43/21.86 % (3046614)Termination phase: Preprocessing 1
% 99.43/21.86 % (3046614)Time elapsed: 0.236 s
% 99.43/21.86 % (3046614)Peak memory usage: 195 MB
% 99.43/21.86 % (3046614)Instructions burned: 320 (million)
% 99.43/21.86 % (3046616)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4048326614:i=2064:ep=RST_2867 on theBenchmark for (2867ds/2064Mi)
% 99.43/21.86 % (3046610)Instruction limit reached!
% 99.43/21.86 % (3046610)------------------------------
% 99.43/21.86 % (3046610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046610)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046610)Termination reason: Instruction limit
% 99.43/21.86 % (3046610)Termination phase: Property scanning
% 99.43/21.86 % (3046610)Time elapsed: 3.280 s
% 99.43/21.86 % (3046610)Peak memory usage: 330 MB
% 99.43/21.86 % (3046610)Instructions burned: 4853 (million)
% 99.43/21.86 % (3046618)dis-1011_128_sil=32000:random_seed=1941817201:i=3706:ep=RST:av=off_2853 on theBenchmark for (2853ds/3706Mi)
% 99.43/21.86 % (3046616)Instruction limit reached!
% 99.43/21.86 % (3046616)------------------------------
% 99.43/21.86 % (3046616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046616)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046616)Termination reason: Instruction limit
% 99.43/21.86 % (3046616)Termination phase: Preprocessing 3
% 99.43/21.86 % (3046616)Time elapsed: 1.589 s
% 99.43/21.86 % (3046616)Peak memory usage: 306 MB
% 99.43/21.86 % (3046616)Instructions burned: 2065 (million)
% 99.43/21.86 % (3046588)Instruction limit reached!
% 99.43/21.86 % (3046588)------------------------------
% 99.43/21.86 % (3046588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046588)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046588)Termination reason: Instruction limit
% 99.43/21.86 % (3046588)Termination phase: Saturation
% 99.43/21.86 % (3046588)Time elapsed: 8.087 s
% 99.43/21.86 % (3046588)Peak memory usage: 547 MB
% 99.43/21.86 % (3046588)Instructions burned: 13194 (million)
% 99.43/21.86 % (3046620)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1036891184:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2849 on theBenchmark for (2849ds/757Mi)
% 99.43/21.86 % (3046621)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2573855088:i=13913:ss=axioms:sgt=8_2847 on theBenchmark for (2847ds/13913Mi)
% 99.43/21.86 % (3046620)Instruction limit reached!
% 99.43/21.86 % (3046620)------------------------------
% 99.43/21.86 % (3046620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046620)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046620)Termination reason: Instruction limit
% 99.43/21.86 % (3046620)Termination phase: Saturation
% 99.43/21.86 % (3046620)Time elapsed: 1.161 s
% 99.43/21.86 % (3046620)Peak memory usage: 203 MB
% 99.43/21.86 % (3046620)Instructions burned: 758 (million)
% 99.43/21.86 % (3046624)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2409557022:i=9925:aac=none_2835 on theBenchmark for (2835ds/9925Mi)
% 99.43/21.86 % (3046612)Instruction limit reached!
% 99.43/21.86 % (3046612)------------------------------
% 99.43/21.86 % (3046612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046612)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046612)Termination reason: Instruction limit
% 99.43/21.86 % (3046612)Termination phase: Saturation
% 99.43/21.86 % (3046612)Time elapsed: 4.541 s
% 99.43/21.86 % (3046612)Peak memory usage: 339 MB
% 99.43/21.86 % (3046612)Instructions burned: 12112 (million)
% 99.43/21.86 % (3046626)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1827452062:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2832 on theBenchmark for (2832ds/2479Mi)
% 99.43/21.86 % (3046618)Instruction limit reached!
% 99.43/21.86 % (3046618)------------------------------
% 99.43/21.86 % (3046618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046618)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046618)Termination reason: Instruction limit
% 99.43/21.86 % (3046618)Termination phase: Clausification
% 99.43/21.86 % (3046618)Time elapsed: 2.630 s
% 99.43/21.86 % (3046618)Peak memory usage: 375 MB
% 99.43/21.86 % (3046618)Instructions burned: 3706 (million)
% 99.43/21.86 % (3046628)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1867382599:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2824 on theBenchmark for (2824ds/440Mi)
% 99.43/21.86 % (3046626)Instruction limit reached!
% 99.43/21.86 % (3046626)------------------------------
% 99.43/21.86 % (3046626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046626)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046626)Termination reason: Instruction limit
% 99.43/21.86 % (3046626)Termination phase: Saturation
% 99.43/21.86 % (3046626)Time elapsed: 0.898 s
% 99.43/21.86 % (3046626)Peak memory usage: 223 MB
% 99.43/21.86 % (3046626)Instructions burned: 2482 (million)
% 99.43/21.86 % (3046628)Instruction limit reached!
% 99.43/21.86 % (3046628)------------------------------
% 99.43/21.86 % (3046628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046628)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046628)Termination reason: Instruction limit
% 99.43/21.86 % (3046628)Termination phase: Property scanning
% 99.43/21.86 % (3046628)Time elapsed: 0.195 s
% 99.43/21.86 % (3046628)Peak memory usage: 193 MB
% 99.43/21.86 % (3046628)Instructions burned: 442 (million)
% 99.43/21.86 % (3046630)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3355118307:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2822 on theBenchmark for (2822ds/11145Mi)
% 99.43/21.86 % (3046631)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1298467800:cts=off:i=3034:av=off:er=known:fsd=on_2821 on theBenchmark for (2821ds/3034Mi)
% 99.43/21.86 % (3046631)Instruction limit reached!
% 99.43/21.86 % (3046631)------------------------------
% 99.43/21.86 % (3046631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.43/21.86 % (3046631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.43/21.86 % (3046631)CaDiCaL version: 2.1.3
% 99.43/21.86 % (3046631)Termination reason: Instruction limit
% 99.43/21.86 % (3046631)Termination phase: Preprocessing 3
% 99.43/21.86 % (3046631)Time elapsed: 2.243 s
% 99.43/21.86 % (3046631)Peak memory usage: 328 MB
% 99.43/21.86 % (3046631)Instructions burned: 3035 (million)
% 99.43/21.86 % (3046621)First to succeed.
% 99.43/21.86 % (3046621)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3046541"
% 99.43/21.86 % (3046634)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3878910210:st=2:s2a=on:i=524:s2at=2:ss=axioms_2796 on theBenchmark for (2796ds/524Mi)
% 99.43/21.86 % (3046621)Refutation found. Thanks to Tanya!
% 99.43/21.86 % SZS status Theorem for theBenchmark
% 99.43/21.86 % SZS output start Proof for theBenchmark
% See solution above
% 115.61/22.12 % (3046621)------------------------------
% 115.61/22.12 % (3046621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.61/22.12 % (3046621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.61/22.12 % (3046621)CaDiCaL version: 2.1.3
% 115.61/22.12 % (3046621)Termination reason: Refutation
% 115.61/22.12 % (3046621)Time elapsed: 5.065 s
% 115.61/22.12 % (3046621)Peak memory usage: 348 MB
% 115.61/22.12 % (3046621)Instructions burned: 6672 (million)
% 115.61/22.12 % (3046621)------------------------------
% 115.61/22.12 % (3046621)------------------------------
% 115.61/22.12 % (3046541)Success in time 21.01 s
% 115.61/22.12 % Vampire exiting
%------------------------------------------------------------------------------