%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU411+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 : n003.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 12:48:48 PM UTC 2026
% Result : Theorem 19.13s 10.96s
% Output : Refutation 33.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 83 ( 36 unt; 8 def)
% Number of atoms : 397 ( 13 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 500 ( 186 ~; 183 |; 113 &)
% ( 10 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn 48 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,axiom,
! [X0,X1,X2] :
( X2 = k3_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_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(f40823,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> r2_hidden(k3_yellow_0(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_waybel_4) ).
fof(f66056,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& 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))) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
fof(f66057,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& 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))) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f66056]) ).
fof(f66134,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k3_yellow_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& 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_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f66057]) ).
fof(f66135,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k3_yellow_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& 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_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f66134]) ).
fof(f66578,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k3_yellow_0(X0),X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,X0)
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f40823]) ).
fof(f66579,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k3_yellow_0(X0),X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,X0)
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f66578]) ).
fof(f66598,plain,
( ~ r2_hidden(k3_yellow_0(sK4),u1_struct_0(sK3))
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4)),sK4)
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4)),sK4)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4)),k1_zfmisc_1(u1_struct_0(sK4)))
& ~ v3_struct_0(sK4)
& v2_orders_2(sK4)
& v3_orders_2(sK4)
& v4_orders_2(sK4)
& v1_yellow_0(sK4)
& v1_lattice3(sK4)
& l1_orders_2(sK4)
& ~ v3_struct_0(sK3)
& v2_orders_2(sK3)
& v3_orders_2(sK3)
& v4_orders_2(sK3)
& v1_yellow_0(sK3)
& v1_lattice3(sK3)
& l1_orders_2(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f66135]) ).
fof(f66739,plain,
! [X0,X1,X2] :
( ( X2 = k3_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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f66740,plain,
! [X0,X1,X2] :
( ( X2 = k3_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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f66739]) ).
fof(f66741,plain,
! [X0,X1,X2] :
( ( X2 = k3_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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f66740]) ).
fof(f66742,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK114(X0,X1,X2),X0)
| ~ r2_hidden(sK114(X0,X1,X2),X1)
| ~ r2_hidden(sK114(X0,X1,X2),X2) )
& ( ( r2_hidden(sK114(X0,X1,X2),X0)
& r2_hidden(sK114(X0,X1,X2),X1) )
| r2_hidden(sK114(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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK114]),skolemize(X3,sK114(X0,X1,X2))],[f66741]) ).
fof(f66878,plain,
l1_orders_2(sK4),
inference(cnf_transformation,[],[f66598]) ).
fof(f66880,plain,
v1_yellow_0(sK4),
inference(cnf_transformation,[],[f66598]) ).
fof(f66881,plain,
v4_orders_2(sK4),
inference(cnf_transformation,[],[f66598]) ).
fof(f66882,plain,
v3_orders_2(sK4),
inference(cnf_transformation,[],[f66598]) ).
fof(f66883,plain,
v2_orders_2(sK4),
inference(cnf_transformation,[],[f66598]) ).
fof(f66884,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f66598]) ).
fof(f66885,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4)),k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f66598]) ).
fof(f66886,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4)),sK4),
inference(cnf_transformation,[],[f66598]) ).
fof(f66887,plain,
v1_waybel_0(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4)),sK4),
inference(cnf_transformation,[],[f66598]) ).
fof(f66888,plain,
~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),
inference(cnf_transformation,[],[f66598]) ).
fof(f66889,plain,
~ r2_hidden(k3_yellow_0(sK4),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f66598]) ).
fof(f67141,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f67428,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f66742]) ).
fof(f67682,plain,
! [X0,X1] :
( r2_hidden(k3_yellow_0(X0),X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,X0)
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f66579]) ).
fof(f67706,plain,
~ v1_xboole_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4)))),
inference(definition_unfolding,[],[f66888,f67141]) ).
fof(f67707,plain,
v1_waybel_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),sK4),
inference(definition_unfolding,[],[f66887,f67141]) ).
fof(f67708,plain,
v12_waybel_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),sK4),
inference(definition_unfolding,[],[f66886,f67141]) ).
fof(f67709,plain,
m1_subset_1(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),k1_zfmisc_1(u1_struct_0(sK4))),
inference(definition_unfolding,[],[f66885,f67141]) ).
fof(f67972,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) != X2 ),
inference(definition_unfolding,[],[f67428,f67141]) ).
fof(f68051,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(equality_resolution,[],[f67972]) ).
fof(f68254,definition,
( spl247_1
<=> v3_struct_0(sK4) ),
introduced(definition,[new_symbols(definition,[spl247_1])],[avatar_definition]) ).
fof(f68256,plain,
( ~ v3_struct_0(sK4)
| spl247_1 ),
inference(avatar_component_clause,[],[f68254]) ).
fof(f68257,plain,
~ spl247_1,
inference(avatar_split_clause,[],[f66884,f68254]) ).
fof(f68259,definition,
( spl247_2
<=> r2_hidden(k3_yellow_0(sK4),u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl247_2])],[avatar_definition]) ).
fof(f68261,plain,
( ~ r2_hidden(k3_yellow_0(sK4),u1_struct_0(sK3))
| spl247_2 ),
inference(avatar_component_clause,[],[f68259]) ).
fof(f68262,plain,
~ spl247_2,
inference(avatar_split_clause,[],[f66889,f68259]) ).
fof(f68303,plain,
( ! [X0] : ~ r2_hidden(k3_yellow_0(sK4),k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),X0)))
| spl247_2 ),
inference(resolution,[],[f68261,f68051]) ).
fof(f68395,definition,
( spl247_4
<=> v12_waybel_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),sK4) ),
introduced(definition,[new_symbols(definition,[spl247_4])],[avatar_definition]) ).
fof(f68397,plain,
( v12_waybel_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),sK4)
| ~ spl247_4 ),
inference(avatar_component_clause,[],[f68395]) ).
fof(f68398,plain,
spl247_4,
inference(avatar_split_clause,[],[f67708,f68395]) ).
fof(f68400,definition,
( spl247_5
<=> v1_waybel_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),sK4) ),
introduced(definition,[new_symbols(definition,[spl247_5])],[avatar_definition]) ).
fof(f68402,plain,
( v1_waybel_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),sK4)
| ~ spl247_5 ),
inference(avatar_component_clause,[],[f68400]) ).
fof(f68403,plain,
spl247_5,
inference(avatar_split_clause,[],[f67707,f68400]) ).
fof(f68405,definition,
( spl247_6
<=> l1_orders_2(sK4) ),
introduced(definition,[new_symbols(definition,[spl247_6])],[avatar_definition]) ).
fof(f68407,plain,
( l1_orders_2(sK4)
| ~ spl247_6 ),
inference(avatar_component_clause,[],[f68405]) ).
fof(f68408,plain,
spl247_6,
inference(avatar_split_clause,[],[f66878,f68405]) ).
fof(f69008,definition,
( spl247_9
<=> v4_orders_2(sK4) ),
introduced(definition,[new_symbols(definition,[spl247_9])],[avatar_definition]) ).
fof(f69010,plain,
( v4_orders_2(sK4)
| ~ spl247_9 ),
inference(avatar_component_clause,[],[f69008]) ).
fof(f69011,plain,
spl247_9,
inference(avatar_split_clause,[],[f66881,f69008]) ).
fof(f69018,definition,
( spl247_11
<=> v3_orders_2(sK4) ),
introduced(definition,[new_symbols(definition,[spl247_11])],[avatar_definition]) ).
fof(f69020,plain,
( v3_orders_2(sK4)
| ~ spl247_11 ),
inference(avatar_component_clause,[],[f69018]) ).
fof(f69021,plain,
spl247_11,
inference(avatar_split_clause,[],[f66882,f69018]) ).
fof(f69033,definition,
( spl247_14
<=> v2_orders_2(sK4) ),
introduced(definition,[new_symbols(definition,[spl247_14])],[avatar_definition]) ).
fof(f69035,plain,
( v2_orders_2(sK4)
| ~ spl247_14 ),
inference(avatar_component_clause,[],[f69033]) ).
fof(f69036,plain,
spl247_14,
inference(avatar_split_clause,[],[f66883,f69033]) ).
fof(f69074,plain,
( r2_hidden(k3_yellow_0(sK4),k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))))
| v1_xboole_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))))
| ~ v1_waybel_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),sK4)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v2_orders_2(sK4)
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_yellow_0(sK4)
| ~ l1_orders_2(sK4)
| ~ spl247_4 ),
inference(resolution,[],[f68397,f67682]) ).
fof(f69103,plain,
( v1_xboole_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))))
| ~ v1_waybel_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),sK4)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v2_orders_2(sK4)
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_yellow_0(sK4)
| ~ l1_orders_2(sK4)
| spl247_2
| ~ spl247_4 ),
inference(forward_subsumption_resolution,[],[f69074,f68303]) ).
fof(f69129,plain,
( ~ v1_waybel_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),sK4)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v2_orders_2(sK4)
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_yellow_0(sK4)
| ~ l1_orders_2(sK4)
| spl247_2
| ~ spl247_4 ),
inference(forward_subsumption_resolution,[],[f69103,f67706]) ).
fof(f69154,plain,
( ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v2_orders_2(sK4)
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_yellow_0(sK4)
| ~ l1_orders_2(sK4)
| spl247_2
| ~ spl247_4
| ~ spl247_5 ),
inference(forward_subsumption_resolution,[],[f69129,f68402]) ).
fof(f69172,plain,
( v3_struct_0(sK4)
| ~ v2_orders_2(sK4)
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_yellow_0(sK4)
| ~ l1_orders_2(sK4)
| spl247_2
| ~ spl247_4
| ~ spl247_5 ),
inference(forward_subsumption_resolution,[],[f69154,f67709]) ).
fof(f69188,plain,
( ~ v2_orders_2(sK4)
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_yellow_0(sK4)
| ~ l1_orders_2(sK4)
| spl247_1
| spl247_2
| ~ spl247_4
| ~ spl247_5 ),
inference(forward_subsumption_resolution,[],[f69172,f68256]) ).
fof(f69204,plain,
( ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_yellow_0(sK4)
| ~ l1_orders_2(sK4)
| spl247_1
| spl247_2
| ~ spl247_4
| ~ spl247_5
| ~ spl247_14 ),
inference(forward_subsumption_resolution,[],[f69188,f69035]) ).
fof(f69216,plain,
( ~ v4_orders_2(sK4)
| ~ v1_yellow_0(sK4)
| ~ l1_orders_2(sK4)
| spl247_1
| spl247_2
| ~ spl247_4
| ~ spl247_5
| ~ spl247_11
| ~ spl247_14 ),
inference(forward_subsumption_resolution,[],[f69204,f69020]) ).
fof(f69227,plain,
( ~ v1_yellow_0(sK4)
| ~ l1_orders_2(sK4)
| spl247_1
| spl247_2
| ~ spl247_4
| ~ spl247_5
| ~ spl247_9
| ~ spl247_11
| ~ spl247_14 ),
inference(forward_subsumption_resolution,[],[f69216,f69010]) ).
fof(f69230,plain,
( ~ l1_orders_2(sK4)
| spl247_1
| spl247_2
| ~ spl247_4
| ~ spl247_5
| ~ spl247_9
| ~ spl247_11
| ~ spl247_14 ),
inference(forward_subsumption_resolution,[],[f69227,f66880]) ).
fof(f69232,plain,
( $false
| spl247_1
| spl247_2
| ~ spl247_4
| ~ spl247_5
| ~ spl247_6
| ~ spl247_9
| ~ spl247_11
| ~ spl247_14 ),
inference(forward_subsumption_resolution,[],[f69230,f68407]) ).
fof(f69233,plain,
( spl247_1
| spl247_2
| ~ spl247_4
| ~ spl247_5
| ~ spl247_6
| ~ spl247_9
| ~ spl247_11
| ~ spl247_14 ),
inference(avatar_contradiction_clause,[],[f69232]) ).
cnf(s1,plain,
~ spl247_1,
inference(sat_conversion,[],[f68257]) ).
cnf(s2,plain,
~ spl247_2,
inference(sat_conversion,[],[f68262]) ).
cnf(s4,plain,
spl247_4,
inference(sat_conversion,[],[f68398]) ).
cnf(s5,plain,
spl247_5,
inference(sat_conversion,[],[f68403]) ).
cnf(s6,plain,
spl247_6,
inference(sat_conversion,[],[f68408]) ).
cnf(s9,plain,
spl247_9,
inference(sat_conversion,[],[f69011]) ).
cnf(s11,plain,
spl247_11,
inference(sat_conversion,[],[f69021]) ).
cnf(s14,plain,
spl247_14,
inference(sat_conversion,[],[f69036]) ).
cnf(s17,plain,
( spl247_1
| spl247_2
| ~ spl247_4
| ~ spl247_5
| ~ spl247_6
| ~ spl247_9
| ~ spl247_11
| ~ spl247_14 ),
inference(sat_conversion,[],[f69233]) ).
cnf(s18,plain,
spl247_1,
inference(rat,[],[s17,s14,s11,s9,s6,s5,s4,s2]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s1,s18]) ).
fof(f69239,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU411+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n003.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 28 05:14:52 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.46 Running first-order theorem proving
% 0.14/0.46 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
% 28.29/10.26 % (1226382)Detected formulas, will run a generic FOF schedule.
% 28.29/10.26 % (1226407)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4223125448:i=119:av=off:ss=axioms_2939 on theBenchmark for (2939ds/119Mi)
% 28.29/10.26 % (1226403)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=3118856219:i=141193_2939 on theBenchmark for (2939ds/141193Mi)
% 28.29/10.26 % (1226404)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=3677687597:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2939 on theBenchmark for (2939ds/134677Mi)
% 28.29/10.26 % (1226405)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=1215105213:i=141695:sd=1:nm=32:gsp=on:ss=included_2939 on theBenchmark for (2939ds/141695Mi)
% 28.29/10.26 % (1226406)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2668171809:i=109:sd=1:ins=1:gsp=on:ss=axioms_2939 on theBenchmark for (2939ds/109Mi)
% 28.29/10.26 % (1226407)Instruction limit reached!
% 28.29/10.26 % (1226407)------------------------------
% 28.29/10.26 % (1226407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.29/10.26 % (1226407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/10.26 % (1226407)CaDiCaL version: 2.1.3
% 28.29/10.26 % (1226407)Termination reason: Instruction limit
% 28.29/10.26 % (1226407)Termination phase: SInE selection
% 28.29/10.26 % (1226407)Time elapsed: 0.079 s
% 28.29/10.26 % (1226407)Peak memory usage: 193 MB
% 28.29/10.26 % (1226407)Instructions burned: 119 (million)
% 28.29/10.26 % (1226408)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1346768198:s2a=on:i=139:gtg=position_2939 on theBenchmark for (2939ds/139Mi)
% 28.29/10.26 % (1226409)dis-21_1_sil=8000:lcm=predicate:random_seed=1105845480:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2939 on theBenchmark for (2939ds/129Mi)
% 28.29/10.26 % (1226406)Instruction limit reached!
% 28.29/10.26 % (1226406)------------------------------
% 28.29/10.26 % (1226406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.29/10.26 % (1226406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/10.26 % (1226406)CaDiCaL version: 2.1.3
% 28.29/10.26 % (1226406)Termination reason: Instruction limit
% 28.29/10.26 % (1226406)Termination phase: SInE selection
% 28.29/10.26 % (1226406)Time elapsed: 0.116 s
% 28.29/10.26 % (1226406)Peak memory usage: 193 MB
% 28.29/10.26 % (1226406)Instructions burned: 109 (million)
% 28.29/10.26 % (1226408)Instruction limit reached!
% 28.29/10.26 % (1226408)------------------------------
% 28.29/10.26 % (1226408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.29/10.26 % (1226408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/10.26 % (1226408)CaDiCaL version: 2.1.3
% 28.29/10.26 % (1226408)Termination reason: Instruction limit
% 28.29/10.26 % (1226408)Termination phase: Property scanning
% 28.29/10.26 % (1226408)Time elapsed: 0.124 s
% 28.29/10.26 % (1226408)Peak memory usage: 193 MB
% 28.29/10.26 % (1226408)Instructions burned: 139 (million)
% 28.29/10.26 % (1226409)Instruction limit reached!
% 28.29/10.26 % (1226409)------------------------------
% 28.29/10.26 % (1226409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.29/10.26 % (1226409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/10.26 % (1226409)CaDiCaL version: 2.1.3
% 28.29/10.26 % (1226409)Termination reason: Instruction limit
% 28.29/10.26 % (1226409)Termination phase: SInE selection
% 28.29/10.26 % (1226409)Time elapsed: 0.146 s
% 28.29/10.26 % (1226409)Peak memory usage: 193 MB
% 28.29/10.26 % (1226409)Instructions burned: 129 (million)
% 28.29/10.26 % (1226417)lrs+10_1_sil=8000:sp=occurrence:random_seed=1328660587:i=285:sd=3:ss=axioms:sgt=8_2936 on theBenchmark for (2936ds/285Mi)
% 28.29/10.26 % (1226420)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2930821190:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2935 on theBenchmark for (2935ds/157Mi)
% 28.29/10.26 % (1226417)Instruction limit reached!
% 28.29/10.26 % (1226417)------------------------------
% 28.29/10.26 % (1226417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.29/10.26 % (1226417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/10.26 % (1226417)CaDiCaL version: 2.1.3
% 28.29/10.26 % (1226417)Termination reason: Instruction limit
% 19.13/10.96 % (1226417)Termination phase: SInE selection
% 19.13/10.96 % (1226417)Time elapsed: 0.178 s
% 19.13/10.96 % (1226417)Peak memory usage: 193 MB
% 19.13/10.96 % (1226417)Instructions burned: 287 (million)
% 19.13/10.96 % (1226423)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=2210169690:s2a=on:i=248:s2at=1.23:gtg=position_2934 on theBenchmark for (2934ds/248Mi)
% 19.13/10.96 % (1226421)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2126495731:i=325:sd=1:ss=axioms:sgt=32_2935 on theBenchmark for (2935ds/325Mi)
% 19.13/10.96 % (1226420)Instruction limit reached!
% 19.13/10.96 % (1226420)------------------------------
% 19.13/10.96 % (1226420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226420)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226420)Termination reason: Instruction limit
% 19.13/10.96 % (1226420)Termination phase: Property scanning
% 19.13/10.96 % (1226420)Time elapsed: 0.138 s
% 19.13/10.96 % (1226420)Peak memory usage: 193 MB
% 19.13/10.96 % (1226420)Instructions burned: 157 (million)
% 19.13/10.96 % (1226423)Instruction limit reached!
% 19.13/10.96 % (1226423)------------------------------
% 19.13/10.96 % (1226423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226423)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226423)Termination reason: Instruction limit
% 19.13/10.96 % (1226423)Termination phase: Property scanning
% 19.13/10.96 % (1226423)Time elapsed: 0.126 s
% 19.13/10.96 % (1226423)Peak memory usage: 193 MB
% 19.13/10.96 % (1226423)Instructions burned: 248 (million)
% 19.13/10.96 % (1226425)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2419941249:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2932 on theBenchmark for (2932ds/294Mi)
% 19.13/10.96 % (1226428)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1156503422:i=2350_2931 on theBenchmark for (2931ds/2350Mi)
% 19.13/10.96 % (1226421)Instruction limit reached!
% 19.13/10.96 % (1226421)------------------------------
% 19.13/10.96 % (1226421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226421)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226421)Termination reason: Instruction limit
% 19.13/10.96 % (1226421)Termination phase: SInE selection
% 19.13/10.96 % (1226421)Time elapsed: 0.363 s
% 19.13/10.96 % (1226421)Peak memory usage: 194 MB
% 19.13/10.96 % (1226421)Instructions burned: 325 (million)
% 19.13/10.96 % (1226429)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2835883013:cts=off:i=113:fsr=off:ss=included:sgt=4_2931 on theBenchmark for (2931ds/113Mi)
% 19.13/10.96 % (1226429)Instruction limit reached!
% 19.13/10.96 % (1226429)------------------------------
% 19.13/10.96 % (1226429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226429)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226429)Termination reason: Instruction limit
% 19.13/10.96 % (1226429)Termination phase: SInE selection
% 19.13/10.96 % (1226429)Time elapsed: 0.079 s
% 19.13/10.96 % (1226429)Peak memory usage: 193 MB
% 19.13/10.96 % (1226429)Instructions burned: 114 (million)
% 19.13/10.96 % (1226425)Instruction limit reached!
% 19.13/10.96 % (1226425)------------------------------
% 19.13/10.96 % (1226425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226425)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226425)Termination reason: Instruction limit
% 19.13/10.96 % (1226425)Termination phase: SInE selection
% 19.13/10.96 % (1226425)Time elapsed: 0.322 s
% 19.13/10.96 % (1226425)Peak memory usage: 193 MB
% 19.13/10.96 % (1226425)Instructions burned: 294 (million)
% 19.13/10.96 % (1226433)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2167317760:i=127:av=off:fsr=off:sup=off_2928 on theBenchmark for (2928ds/127Mi)
% 19.13/10.96 % (1226434)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2252044451:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2927 on theBenchmark for (2927ds/114Mi)
% 19.13/10.96 % (1226434)Instruction limit reached!
% 19.13/10.96 % (1226434)------------------------------
% 19.13/10.96 % (1226434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226434)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226434)Termination reason: Instruction limit
% 19.13/10.96 % (1226434)Termination phase: Property scanning
% 19.13/10.96 % (1226434)Time elapsed: 0.055 s
% 19.13/10.96 % (1226434)Peak memory usage: 193 MB
% 19.13/10.96 % (1226434)Instructions burned: 114 (million)
% 19.13/10.96 % (1226433)Instruction limit reached!
% 19.13/10.96 % (1226433)------------------------------
% 19.13/10.96 % (1226433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226433)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226433)Termination reason: Instruction limit
% 19.13/10.96 % (1226433)Termination phase: Preprocessing 1
% 19.13/10.96 % (1226433)Time elapsed: 0.154 s
% 19.13/10.96 % (1226433)Peak memory usage: 194 MB
% 19.13/10.96 % (1226433)Instructions burned: 127 (million)
% 19.13/10.96 % (1226435)lrs+10_1_sil=8000:sp=occurrence:random_seed=9341154:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2926 on theBenchmark for (2926ds/907Mi)
% 19.13/10.96 % (1226438)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1128187195:i=437:sd=1:aac=none:ss=included_2925 on theBenchmark for (2925ds/437Mi)
% 19.13/10.96 % (1226439)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3726608042:i=5202:ss=axioms:sgt=16_2924 on theBenchmark for (2924ds/5202Mi)
% 19.13/10.96 % (1226438)Instruction limit reached!
% 19.13/10.96 % (1226438)------------------------------
% 19.13/10.96 % (1226438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226438)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226438)Termination reason: Instruction limit
% 19.13/10.96 % (1226438)Termination phase: SInE selection
% 19.13/10.96 % (1226438)Time elapsed: 0.273 s
% 19.13/10.96 % (1226438)Peak memory usage: 194 MB
% 19.13/10.96 % (1226438)Instructions burned: 438 (million)
% 19.13/10.96 % (1226443)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2069444052:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2920 on theBenchmark for (2920ds/134Mi)
% 19.13/10.96 % (1226443)Instruction limit reached!
% 19.13/10.96 % (1226443)------------------------------
% 19.13/10.96 % (1226443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226443)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226443)Termination reason: Instruction limit
% 19.13/10.96 % (1226443)Termination phase: SInE selection
% 19.13/10.96 % (1226443)Time elapsed: 0.089 s
% 19.13/10.96 % (1226443)Peak memory usage: 193 MB
% 19.13/10.96 % (1226443)Instructions burned: 135 (million)
% 19.13/10.96 % (1226445)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3795523601:st=8:i=592:sd=3:ep=RST:ss=axioms_2916 on theBenchmark for (2916ds/592Mi)
% 19.13/10.96 % (1226435)Instruction limit reached!
% 19.13/10.96 % (1226435)------------------------------
% 19.13/10.96 % (1226435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226435)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226435)Termination reason: Instruction limit
% 19.13/10.96 % (1226435)Termination phase: Naming
% 19.13/10.96 % (1226435)Time elapsed: 0.999 s
% 19.13/10.96 % (1226435)Peak memory usage: 204 MB
% 19.13/10.96 % (1226435)Instructions burned: 907 (million)
% 19.13/10.96 % (1226445)Instruction limit reached!
% 19.13/10.96 % (1226445)------------------------------
% 19.13/10.96 % (1226445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226445)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226445)Termination reason: Instruction limit
% 19.13/10.96 % (1226445)Termination phase: SInE selection
% 19.13/10.96 % (1226445)Time elapsed: 0.333 s
% 19.13/10.96 % (1226445)Peak memory usage: 195 MB
% 19.13/10.96 % (1226445)Instructions burned: 593 (million)
% 19.13/10.96 % (1226449)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=661770998:st=3:i=13193:sd=3:ss=axioms_2912 on theBenchmark for (2912ds/13193Mi)
% 19.13/10.96 % (1226450)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=761334261:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2911 on theBenchmark for (2911ds/125Mi)
% 19.13/10.96 % (1226450)Instruction limit reached!
% 19.13/10.96 % (1226450)------------------------------
% 19.13/10.96 % (1226450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226450)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226450)Termination reason: Instruction limit
% 19.13/10.96 % (1226450)Termination phase: Property scanning
% 19.13/10.96 % (1226450)Time elapsed: 0.114 s
% 19.13/10.96 % (1226450)Peak memory usage: 193 MB
% 19.13/10.96 % (1226450)Instructions burned: 126 (million)
% 19.13/10.96 % (1226405)First to succeed.
% 19.13/10.96 % (1226405)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1226382"
% 19.13/10.96 % (1226453)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2748245406:i=134:gtgl=5:slsql=off:gtg=exists_sym_2906 on theBenchmark for (2906ds/134Mi)
% 19.13/10.96 % (1226453)Instruction limit reached!
% 19.13/10.96 % (1226453)------------------------------
% 19.13/10.96 % (1226453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/10.96 % (1226453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/10.96 % (1226453)CaDiCaL version: 2.1.3
% 19.13/10.96 % (1226453)Termination reason: Instruction limit
% 19.13/10.96 % (1226453)Termination phase: Property scanning
% 19.13/10.96 % (1226453)Time elapsed: 0.120 s
% 19.13/10.96 % (1226453)Peak memory usage: 193 MB
% 19.13/10.96 % (1226453)Instructions burned: 134 (million)
% 19.13/10.96 % (1226405)Refutation found. Thanks to Tanya!
% 19.13/10.96 % SZS status Theorem for theBenchmark
% 19.13/10.96 % SZS output start Proof for theBenchmark
% See solution above
% 33.62/11.29 % (1226405)------------------------------
% 33.62/11.29 % (1226405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.62/11.29 % (1226405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.62/11.29 % (1226405)CaDiCaL version: 2.1.3
% 33.62/11.29 % (1226405)Termination reason: Refutation
% 33.62/11.29 % (1226405)Time elapsed: 3.009 s
% 33.62/11.29 % (1226405)Peak memory usage: 282 MB
% 33.62/11.29 % (1226405)Instructions burned: 2701 (million)
% 33.62/11.29 % (1226405)------------------------------
% 33.62/11.29 % (1226405)------------------------------
% 33.62/11.29 % (1226382)Success in time 9.893 s
% 33.62/11.29 % Vampire exiting
%------------------------------------------------------------------------------