%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU413+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:49 PM UTC 2026
% Result : Theorem 25.84s 9.00s
% Output : Refutation 26.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 104 ( 40 unt; 10 def)
% Number of atoms : 313 ( 9 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 358 ( 149 ~; 142 |; 38 &)
% ( 12 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 11 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn 83 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f230,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_xboole_0(k1_tarski(X0),k1_tarski(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_enumset1) ).
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/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
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/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
fof(f66057,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( 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(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& r2_hidden(X3,u1_struct_0(X0)) )
=> r2_hidden(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_latsum_1) ).
fof(f66059,conjecture,
! [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)))
=> ( ( 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)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& r2_hidden(X3,u1_struct_0(X0)) )
=> r2_hidden(X2,u1_struct_0(X0)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).
fof(f66060,negated_conjecture,
~ ! [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)))
=> ( ( 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)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& r2_hidden(X3,u1_struct_0(X0)) )
=> r2_hidden(X2,u1_struct_0(X0)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f66059]) ).
fof(f66102,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(f66103,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,[],[f66102]) ).
fof(f66147,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X2,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)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X3,u1_struct_0(X0)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f66057]) ).
fof(f66148,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X2,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)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X3,u1_struct_0(X0)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f66147]) ).
fof(f66151,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(X2,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)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& r2_hidden(X3,u1_struct_0(X0))
& 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,[],[f66060]) ).
fof(f66152,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(X2,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)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& r2_hidden(X3,u1_struct_0(X0))
& 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,[],[f66151]) ).
fof(f66481,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(f66597,plain,
( ~ r2_hidden(sK5,u1_struct_0(sK3))
& 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)))
& r1_orders_2(k1_latsum_1(sK3,sK4),sK5,sK6)
& r2_hidden(sK6,u1_struct_0(sK3))
& m1_subset_1(sK6,u1_struct_0(k1_latsum_1(sK3,sK4)))
& m1_subset_1(sK5,u1_struct_0(k1_latsum_1(sK3,sK4)))
& l1_orders_2(sK4)
& l1_orders_2(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f66152]) ).
fof(f66776,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,[],[f66481]) ).
fof(f66812,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f66103]) ).
fof(f66870,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X2,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)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f66148]) ).
fof(f66879,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f66597]) ).
fof(f66880,plain,
l1_orders_2(sK4),
inference(cnf_transformation,[],[f66597]) ).
fof(f66881,plain,
m1_subset_1(sK5,u1_struct_0(k1_latsum_1(sK3,sK4))),
inference(cnf_transformation,[],[f66597]) ).
fof(f66882,plain,
m1_subset_1(sK6,u1_struct_0(k1_latsum_1(sK3,sK4))),
inference(cnf_transformation,[],[f66597]) ).
fof(f66883,plain,
r2_hidden(sK6,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f66597]) ).
fof(f66884,plain,
r1_orders_2(k1_latsum_1(sK3,sK4),sK5,sK6),
inference(cnf_transformation,[],[f66597]) ).
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,[],[f66597]) ).
fof(f66886,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4)),sK4),
inference(cnf_transformation,[],[f66597]) ).
fof(f66887,plain,
~ r2_hidden(sK5,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f66597]) ).
fof(f67010,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_xboole_0(k1_tarski(X0),k1_tarski(X1)),
inference(cnf_transformation,[],[f230]) ).
fof(f67028,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f67139,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f67315,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f67536,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,[],[f66776]) ).
fof(f67674,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_xboole_0(k1_tarski(k2_xboole_0(k1_tarski(X0),k1_tarski(X1))),k1_tarski(k1_tarski(X0))),
inference(definition_unfolding,[],[f67315,f67010,f67010]) ).
fof(f67692,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X2,u1_struct_0(X0))
| ~ v12_waybel_0(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(X1))),X1)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(X1))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k2_xboole_0(k1_tarski(k2_xboole_0(k1_tarski(X2),k1_tarski(X3))),k1_tarski(k1_tarski(X2))),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f66870,f67139,f67139,f67674]) ).
fof(f67701,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,f67139]) ).
fof(f67702,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,f67139]) ).
fof(f67972,plain,
! [X2,X0,X1] :
( r2_hidden(k2_xboole_0(k1_tarski(k2_xboole_0(k1_tarski(X1),k1_tarski(X2))),k1_tarski(k1_tarski(X1))),u1_orders_2(X0))
| ~ r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f67536,f67674]) ).
fof(f68247,definition,
( spl249_1
<=> m1_subset_1(sK5,u1_struct_0(k1_latsum_1(sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl249_1])],[avatar_definition]) ).
fof(f68249,plain,
( m1_subset_1(sK5,u1_struct_0(k1_latsum_1(sK3,sK4)))
| ~ spl249_1 ),
inference(avatar_component_clause,[],[f68247]) ).
fof(f68250,plain,
spl249_1,
inference(avatar_split_clause,[],[f66881,f68247]) ).
fof(f68252,definition,
( spl249_2
<=> r2_hidden(sK5,u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl249_2])],[avatar_definition]) ).
fof(f68254,plain,
( ~ r2_hidden(sK5,u1_struct_0(sK3))
| spl249_2 ),
inference(avatar_component_clause,[],[f68252]) ).
fof(f68255,plain,
~ spl249_2,
inference(avatar_split_clause,[],[f66887,f68252]) ).
fof(f68411,definition,
( spl249_3
<=> 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,[spl249_3])],[avatar_definition]) ).
fof(f68413,plain,
( v12_waybel_0(k4_xboole_0(u1_struct_0(sK3),k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK4))),sK4)
| ~ spl249_3 ),
inference(avatar_component_clause,[],[f68411]) ).
fof(f68414,plain,
spl249_3,
inference(avatar_split_clause,[],[f67701,f68411]) ).
fof(f68416,definition,
( spl249_4
<=> l1_orders_2(sK3) ),
introduced(definition,[new_symbols(definition,[spl249_4])],[avatar_definition]) ).
fof(f68418,plain,
( l1_orders_2(sK3)
| ~ spl249_4 ),
inference(avatar_component_clause,[],[f68416]) ).
fof(f68419,plain,
spl249_4,
inference(avatar_split_clause,[],[f66879,f68416]) ).
fof(f68720,definition,
( spl249_5
<=> l1_orders_2(sK4) ),
introduced(definition,[new_symbols(definition,[spl249_5])],[avatar_definition]) ).
fof(f68722,plain,
( l1_orders_2(sK4)
| ~ spl249_5 ),
inference(avatar_component_clause,[],[f68720]) ).
fof(f68723,plain,
spl249_5,
inference(avatar_split_clause,[],[f66880,f68720]) ).
fof(f69530,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK3))
| ~ 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)))
| ~ r2_hidden(k2_xboole_0(k1_tarski(k2_xboole_0(k1_tarski(X0),k1_tarski(X1))),k1_tarski(k1_tarski(X0))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| ~ r2_hidden(X1,u1_struct_0(sK3))
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK3) )
| ~ spl249_3 ),
inference(resolution,[],[f68413,f67692]) ).
fof(f69621,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK3))
| ~ r2_hidden(k2_xboole_0(k1_tarski(k2_xboole_0(k1_tarski(X0),k1_tarski(X1))),k1_tarski(k1_tarski(X0))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| ~ r2_hidden(X1,u1_struct_0(sK3))
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK3) )
| ~ spl249_3 ),
inference(forward_subsumption_resolution,[],[f69530,f67702]) ).
fof(f69655,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK3))
| ~ r2_hidden(k2_xboole_0(k1_tarski(k2_xboole_0(k1_tarski(X0),k1_tarski(X1))),k1_tarski(k1_tarski(X0))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| ~ r2_hidden(X1,u1_struct_0(sK3))
| ~ l1_orders_2(sK3) )
| ~ spl249_3
| ~ spl249_5 ),
inference(forward_subsumption_resolution,[],[f69621,f68722]) ).
fof(f69664,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK3))
| ~ r2_hidden(k2_xboole_0(k1_tarski(k2_xboole_0(k1_tarski(X0),k1_tarski(X1))),k1_tarski(k1_tarski(X0))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| ~ r2_hidden(X1,u1_struct_0(sK3)) )
| ~ spl249_3
| ~ spl249_4
| ~ spl249_5 ),
inference(forward_subsumption_resolution,[],[f69655,f68418]) ).
fof(f69668,plain,
( ! [X0,X1] :
( ~ r2_hidden(k2_xboole_0(k1_tarski(k1_tarski(X0)),k1_tarski(k2_xboole_0(k1_tarski(X0),k1_tarski(X1)))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| r2_hidden(X0,u1_struct_0(sK3))
| ~ r2_hidden(X1,u1_struct_0(sK3)) )
| ~ spl249_3
| ~ spl249_4
| ~ spl249_5 ),
inference(forward_demodulation,[],[f69664,f67028]) ).
fof(f69671,definition,
( spl249_6
<=> r2_hidden(sK6,u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl249_6])],[avatar_definition]) ).
fof(f69673,plain,
( r2_hidden(sK6,u1_struct_0(sK3))
| ~ spl249_6 ),
inference(avatar_component_clause,[],[f69671]) ).
fof(f69674,plain,
spl249_6,
inference(avatar_split_clause,[],[f66883,f69671]) ).
fof(f69960,definition,
( spl249_7
<=> r1_orders_2(k1_latsum_1(sK3,sK4),sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl249_7])],[avatar_definition]) ).
fof(f69962,plain,
( r1_orders_2(k1_latsum_1(sK3,sK4),sK5,sK6)
| ~ spl249_7 ),
inference(avatar_component_clause,[],[f69960]) ).
fof(f69963,plain,
spl249_7,
inference(avatar_split_clause,[],[f66884,f69960]) ).
fof(f70000,plain,
( r2_hidden(k2_xboole_0(k1_tarski(k2_xboole_0(k1_tarski(sK5),k1_tarski(sK6))),k1_tarski(k1_tarski(sK5))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| ~ m1_subset_1(sK6,u1_struct_0(k1_latsum_1(sK3,sK4)))
| ~ m1_subset_1(sK5,u1_struct_0(k1_latsum_1(sK3,sK4)))
| ~ l1_orders_2(k1_latsum_1(sK3,sK4))
| ~ spl249_7 ),
inference(resolution,[],[f69962,f67972]) ).
fof(f70015,plain,
( r2_hidden(k2_xboole_0(k1_tarski(k2_xboole_0(k1_tarski(sK5),k1_tarski(sK6))),k1_tarski(k1_tarski(sK5))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| ~ m1_subset_1(sK5,u1_struct_0(k1_latsum_1(sK3,sK4)))
| ~ l1_orders_2(k1_latsum_1(sK3,sK4))
| ~ spl249_7 ),
inference(forward_subsumption_resolution,[],[f70000,f66882]) ).
fof(f70052,plain,
( r2_hidden(k2_xboole_0(k1_tarski(k2_xboole_0(k1_tarski(sK5),k1_tarski(sK6))),k1_tarski(k1_tarski(sK5))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| ~ l1_orders_2(k1_latsum_1(sK3,sK4))
| ~ spl249_1
| ~ spl249_7 ),
inference(forward_subsumption_resolution,[],[f70015,f68249]) ).
fof(f70085,plain,
( r2_hidden(k2_xboole_0(k1_tarski(k1_tarski(sK5)),k1_tarski(k2_xboole_0(k1_tarski(sK5),k1_tarski(sK6)))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| ~ l1_orders_2(k1_latsum_1(sK3,sK4))
| ~ spl249_1
| ~ spl249_7 ),
inference(forward_demodulation,[],[f70052,f67028]) ).
fof(f70741,definition,
( spl249_14
<=> l1_orders_2(k1_latsum_1(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl249_14])],[avatar_definition]) ).
fof(f70742,plain,
( l1_orders_2(k1_latsum_1(sK3,sK4))
| ~ spl249_14 ),
inference(avatar_component_clause,[],[f70741]) ).
fof(f70743,plain,
( ~ l1_orders_2(k1_latsum_1(sK3,sK4))
| spl249_14 ),
inference(avatar_component_clause,[],[f70741]) ).
fof(f70752,plain,
( ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK4)
| spl249_14 ),
inference(resolution,[],[f70743,f66812]) ).
fof(f70756,plain,
( ~ l1_orders_2(sK4)
| ~ spl249_4
| spl249_14 ),
inference(forward_subsumption_resolution,[],[f70752,f68418]) ).
fof(f70758,plain,
( $false
| ~ spl249_4
| ~ spl249_5
| spl249_14 ),
inference(forward_subsumption_resolution,[],[f70756,f68722]) ).
fof(f70759,plain,
( ~ spl249_4
| ~ spl249_5
| spl249_14 ),
inference(avatar_contradiction_clause,[],[f70758]) ).
fof(f70935,plain,
( r2_hidden(k2_xboole_0(k1_tarski(k1_tarski(sK5)),k1_tarski(k2_xboole_0(k1_tarski(sK5),k1_tarski(sK6)))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| ~ spl249_1
| ~ spl249_7
| ~ spl249_14 ),
inference(backward_subsumption_resolution,[],[f70085,f70742]) ).
fof(f71945,definition,
( spl249_18
<=> ! [X0,X1] :
( ~ r2_hidden(k2_xboole_0(k1_tarski(k1_tarski(X0)),k1_tarski(k2_xboole_0(k1_tarski(X0),k1_tarski(X1)))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| r2_hidden(X0,u1_struct_0(sK3))
| ~ r2_hidden(X1,u1_struct_0(sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl249_18])],[avatar_definition]) ).
fof(f71946,plain,
( ! [X0,X1] :
( ~ r2_hidden(k2_xboole_0(k1_tarski(k1_tarski(X0)),k1_tarski(k2_xboole_0(k1_tarski(X0),k1_tarski(X1)))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| r2_hidden(X0,u1_struct_0(sK3))
| ~ r2_hidden(X1,u1_struct_0(sK3)) )
| ~ spl249_18 ),
inference(avatar_component_clause,[],[f71945]) ).
fof(f71947,plain,
( spl249_18
| ~ spl249_3
| ~ spl249_4
| ~ spl249_5 ),
inference(avatar_split_clause,[],[f69668,f68720,f68416,f68411,f71945]) ).
fof(f72345,definition,
( spl249_22
<=> r2_hidden(k2_xboole_0(k1_tarski(k1_tarski(sK5)),k1_tarski(k2_xboole_0(k1_tarski(sK5),k1_tarski(sK6)))),u1_orders_2(k1_latsum_1(sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl249_22])],[avatar_definition]) ).
fof(f72347,plain,
( r2_hidden(k2_xboole_0(k1_tarski(k1_tarski(sK5)),k1_tarski(k2_xboole_0(k1_tarski(sK5),k1_tarski(sK6)))),u1_orders_2(k1_latsum_1(sK3,sK4)))
| ~ spl249_22 ),
inference(avatar_component_clause,[],[f72345]) ).
fof(f72348,plain,
( spl249_22
| ~ spl249_1
| ~ spl249_7
| ~ spl249_14 ),
inference(avatar_split_clause,[],[f70935,f70741,f69960,f68247,f72345]) ).
fof(f72419,plain,
( r2_hidden(sK5,u1_struct_0(sK3))
| ~ r2_hidden(sK6,u1_struct_0(sK3))
| ~ spl249_18
| ~ spl249_22 ),
inference(resolution,[],[f72347,f71946]) ).
fof(f72674,plain,
( ~ r2_hidden(sK6,u1_struct_0(sK3))
| spl249_2
| ~ spl249_18
| ~ spl249_22 ),
inference(forward_subsumption_resolution,[],[f72419,f68254]) ).
fof(f72693,plain,
( $false
| spl249_2
| ~ spl249_6
| ~ spl249_18
| ~ spl249_22 ),
inference(forward_subsumption_resolution,[],[f72674,f69673]) ).
fof(f72694,plain,
( spl249_2
| ~ spl249_6
| ~ spl249_18
| ~ spl249_22 ),
inference(avatar_contradiction_clause,[],[f72693]) ).
cnf(s1,plain,
spl249_1,
inference(sat_conversion,[],[f68250]) ).
cnf(s2,plain,
~ spl249_2,
inference(sat_conversion,[],[f68255]) ).
cnf(s3,plain,
spl249_3,
inference(sat_conversion,[],[f68414]) ).
cnf(s4,plain,
spl249_4,
inference(sat_conversion,[],[f68419]) ).
cnf(s5,plain,
spl249_5,
inference(sat_conversion,[],[f68723]) ).
cnf(s6,plain,
spl249_6,
inference(sat_conversion,[],[f69674]) ).
cnf(s7,plain,
spl249_7,
inference(sat_conversion,[],[f69963]) ).
cnf(s12,plain,
( ~ spl249_4
| ~ spl249_5
| spl249_14 ),
inference(sat_conversion,[],[f70759]) ).
cnf(s14,plain,
( ~ spl249_3
| ~ spl249_4
| ~ spl249_5
| spl249_18 ),
inference(sat_conversion,[],[f71947]) ).
cnf(s16,plain,
( ~ spl249_1
| ~ spl249_7
| ~ spl249_14
| spl249_22 ),
inference(sat_conversion,[],[f72348]) ).
cnf(s19,plain,
( spl249_2
| ~ spl249_6
| ~ spl249_18
| ~ spl249_22 ),
inference(sat_conversion,[],[f72694]) ).
cnf(s20,plain,
spl249_14,
inference(rat,[],[s12,s5,s4]) ).
cnf(s21,plain,
spl249_18,
inference(rat,[],[s14,s4,s5,s3]) ).
cnf(s22,plain,
~ spl249_22,
inference(rat,[],[s19,s21,s6,s2]) ).
cnf(s23,plain,
~ spl249_1,
inference(rat,[],[s16,s20,s7,s22]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s1,s23]) ).
fof(f72704,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU413+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 05:18:00 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.16/8.29 % (3483756)Detected formulas, will run a generic FOF schedule.
% 21.16/8.29 % (3483762)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=3701953490:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2948 on theBenchmark for (2948ds/134677Mi)
% 21.16/8.29 % (3483761)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=4080858969:i=141193_2948 on theBenchmark for (2948ds/141193Mi)
% 21.16/8.29 % (3483763)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=673028428:i=141695:sd=1:nm=32:gsp=on:ss=included_2948 on theBenchmark for (2948ds/141695Mi)
% 21.16/8.29 % (3483764)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1001373332:i=109:sd=1:ins=1:gsp=on:ss=axioms_2948 on theBenchmark for (2948ds/109Mi)
% 21.16/8.29 % (3483767)dis-21_1_sil=8000:lcm=predicate:random_seed=2572494852: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)
% 21.16/8.29 % (3483765)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3570413196:i=119:av=off:ss=axioms_2948 on theBenchmark for (2948ds/119Mi)
% 21.16/8.29 % (3483766)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3294712207:s2a=on:i=139:gtg=position_2948 on theBenchmark for (2948ds/139Mi)
% 21.16/8.29 % (3483766)Instruction limit reached!
% 21.16/8.29 % (3483766)------------------------------
% 21.16/8.29 % (3483766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.16/8.29 % (3483766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/8.29 % (3483766)CaDiCaL version: 2.1.3
% 21.16/8.29 % (3483766)Termination reason: Instruction limit
% 21.16/8.29 % (3483766)Termination phase: Property scanning
% 21.16/8.29 % (3483766)Time elapsed: 0.068 s
% 21.16/8.29 % (3483766)Peak memory usage: 193 MB
% 21.16/8.29 % (3483766)Instructions burned: 140 (million)
% 21.16/8.29 % (3483764)Instruction limit reached!
% 21.16/8.29 % (3483764)------------------------------
% 21.16/8.29 % (3483764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.16/8.29 % (3483764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/8.29 % (3483764)CaDiCaL version: 2.1.3
% 21.16/8.29 % (3483764)Termination reason: Instruction limit
% 21.16/8.29 % (3483764)Termination phase: SInE selection
% 21.16/8.29 % (3483764)Time elapsed: 0.085 s
% 21.16/8.29 % (3483764)Peak memory usage: 193 MB
% 21.16/8.29 % (3483764)Instructions burned: 110 (million)
% 21.16/8.29 % (3483765)Instruction limit reached!
% 21.16/8.29 % (3483765)------------------------------
% 21.16/8.29 % (3483765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.16/8.29 % (3483765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/8.29 % (3483765)CaDiCaL version: 2.1.3
% 21.16/8.29 % (3483765)Termination reason: Instruction limit
% 21.16/8.29 % (3483765)Termination phase: SInE selection
% 21.16/8.29 % (3483765)Time elapsed: 0.089 s
% 21.16/8.29 % (3483765)Peak memory usage: 193 MB
% 21.16/8.29 % (3483765)Instructions burned: 120 (million)
% 21.16/8.29 % (3483767)Instruction limit reached!
% 21.16/8.29 % (3483767)------------------------------
% 21.16/8.29 % (3483767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.16/8.29 % (3483767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/8.29 % (3483767)CaDiCaL version: 2.1.3
% 21.16/8.29 % (3483767)Termination reason: Instruction limit
% 21.16/8.29 % (3483767)Termination phase: SInE selection
% 21.16/8.29 % (3483767)Time elapsed: 0.095 s
% 21.16/8.29 % (3483767)Peak memory usage: 193 MB
% 21.16/8.29 % (3483767)Instructions burned: 129 (million)
% 21.16/8.29 % (3483775)lrs+10_1_sil=8000:sp=occurrence:random_seed=2257516999:i=285:sd=3:ss=axioms:sgt=8_2946 on theBenchmark for (2946ds/285Mi)
% 21.16/8.29 % (3483777)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2363614303:i=325:sd=1:ss=axioms:sgt=32_2946 on theBenchmark for (2946ds/325Mi)
% 21.16/8.29 % (3483776)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4087682623:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2946 on theBenchmark for (2946ds/157Mi)
% 21.16/8.29 % (3483778)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=1577396292:s2a=on:i=248:s2at=1.23:gtg=position_2945 on theBenchmark for (2945ds/248Mi)
% 21.16/8.29 % (3483776)Instruction limit reached!
% 25.84/9.00 % (3483776)------------------------------
% 25.84/9.00 % (3483776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483776)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483776)Termination reason: Instruction limit
% 25.84/9.00 % (3483776)Termination phase: Property scanning
% 25.84/9.00 % (3483776)Time elapsed: 0.077 s
% 25.84/9.00 % (3483776)Peak memory usage: 193 MB
% 25.84/9.00 % (3483776)Instructions burned: 157 (million)
% 25.84/9.00 % (3483778)Instruction limit reached!
% 25.84/9.00 % (3483778)------------------------------
% 25.84/9.00 % (3483778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483778)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483778)Termination reason: Instruction limit
% 25.84/9.00 % (3483778)Termination phase: Property scanning
% 25.84/9.00 % (3483778)Time elapsed: 0.115 s
% 25.84/9.00 % (3483778)Peak memory usage: 193 MB
% 25.84/9.00 % (3483778)Instructions burned: 249 (million)
% 25.84/9.00 % (3483775)Instruction limit reached!
% 25.84/9.00 % (3483775)------------------------------
% 25.84/9.00 % (3483775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483775)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483775)Termination reason: Instruction limit
% 25.84/9.00 % (3483775)Termination phase: SInE selection
% 25.84/9.00 % (3483775)Time elapsed: 0.211 s
% 25.84/9.00 % (3483775)Peak memory usage: 193 MB
% 25.84/9.00 % (3483775)Instructions burned: 286 (million)
% 25.84/9.00 % (3483783)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=800726298:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2943 on theBenchmark for (2943ds/294Mi)
% 25.84/9.00 % (3483777)Instruction limit reached!
% 25.84/9.00 % (3483777)------------------------------
% 25.84/9.00 % (3483777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483777)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483777)Termination reason: Instruction limit
% 25.84/9.00 % (3483777)Termination phase: SInE selection
% 25.84/9.00 % (3483777)Time elapsed: 0.236 s
% 25.84/9.00 % (3483777)Peak memory usage: 193 MB
% 25.84/9.00 % (3483777)Instructions burned: 326 (million)
% 25.84/9.00 % (3483784)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1944178112:i=2350_2943 on theBenchmark for (2943ds/2350Mi)
% 25.84/9.00 % (3483786)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4281908954:cts=off:i=113:fsr=off:ss=included:sgt=4_2942 on theBenchmark for (2942ds/113Mi)
% 25.84/9.00 % (3483787)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3974029179:i=127:av=off:fsr=off:sup=off_2942 on theBenchmark for (2942ds/127Mi)
% 25.84/9.00 % (3483783)Instruction limit reached!
% 25.84/9.00 % (3483783)------------------------------
% 25.84/9.00 % (3483783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483783)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483783)Termination reason: Instruction limit
% 25.84/9.00 % (3483783)Termination phase: SInE selection
% 25.84/9.00 % (3483783)Time elapsed: 0.215 s
% 25.84/9.00 % (3483783)Peak memory usage: 193 MB
% 25.84/9.00 % (3483783)Instructions burned: 295 (million)
% 25.84/9.00 % (3483786)Instruction limit reached!
% 25.84/9.00 % (3483786)------------------------------
% 25.84/9.00 % (3483786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483786)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483786)Termination reason: Instruction limit
% 25.84/9.00 % (3483786)Termination phase: SInE selection
% 25.84/9.00 % (3483786)Time elapsed: 0.091 s
% 25.84/9.00 % (3483786)Peak memory usage: 193 MB
% 25.84/9.00 % (3483786)Instructions burned: 113 (million)
% 25.84/9.00 % (3483787)Instruction limit reached!
% 25.84/9.00 % (3483787)------------------------------
% 25.84/9.00 % (3483787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483787)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483787)Termination reason: Instruction limit
% 25.84/9.00 % (3483787)Termination phase: Preprocessing 1
% 25.84/9.00 % (3483787)Time elapsed: 0.102 s
% 25.84/9.00 % (3483787)Peak memory usage: 194 MB
% 25.84/9.00 % (3483787)Instructions burned: 128 (million)
% 25.84/9.00 % (3483791)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2079437727:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2940 on theBenchmark for (2940ds/114Mi)
% 25.84/9.00 % (3483792)lrs+10_1_sil=8000:sp=occurrence:random_seed=3334833319:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2940 on theBenchmark for (2940ds/907Mi)
% 25.84/9.00 % (3483793)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2280539819:i=437:sd=1:aac=none:ss=included_2939 on theBenchmark for (2939ds/437Mi)
% 25.84/9.00 % (3483791)Instruction limit reached!
% 25.84/9.00 % (3483791)------------------------------
% 25.84/9.00 % (3483791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483791)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483791)Termination reason: Instruction limit
% 25.84/9.00 % (3483791)Termination phase: Property scanning
% 25.84/9.00 % (3483791)Time elapsed: 0.057 s
% 25.84/9.00 % (3483791)Peak memory usage: 193 MB
% 25.84/9.00 % (3483791)Instructions burned: 114 (million)
% 25.84/9.00 % (3483797)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2883423989:i=5202:ss=axioms:sgt=16_2938 on theBenchmark for (2938ds/5202Mi)
% 25.84/9.00 % (3483793)Instruction limit reached!
% 25.84/9.00 % (3483793)------------------------------
% 25.84/9.00 % (3483793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483793)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483793)Termination reason: Instruction limit
% 25.84/9.00 % (3483793)Termination phase: SInE selection
% 25.84/9.00 % (3483793)Time elapsed: 0.315 s
% 25.84/9.00 % (3483793)Peak memory usage: 194 MB
% 25.84/9.00 % (3483793)Instructions burned: 438 (million)
% 25.84/9.00 % (3483799)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3379277343:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2935 on theBenchmark for (2935ds/134Mi)
% 25.84/9.00 % (3483799)Instruction limit reached!
% 25.84/9.00 % (3483799)------------------------------
% 25.84/9.00 % (3483799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483799)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483799)Termination reason: Instruction limit
% 25.84/9.00 % (3483799)Termination phase: SInE selection
% 25.84/9.00 % (3483799)Time elapsed: 0.106 s
% 25.84/9.00 % (3483799)Peak memory usage: 193 MB
% 25.84/9.00 % (3483799)Instructions burned: 134 (million)
% 25.84/9.00 % (3483792)Instruction limit reached!
% 25.84/9.00 % (3483792)------------------------------
% 25.84/9.00 % (3483792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483792)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483792)Termination reason: Instruction limit
% 25.84/9.00 % (3483792)Termination phase: Preprocessing 3
% 25.84/9.00 % (3483792)Time elapsed: 0.683 s
% 25.84/9.00 % (3483792)Peak memory usage: 204 MB
% 25.84/9.00 % (3483792)Instructions burned: 907 (million)
% 25.84/9.00 % (3483801)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=593264001:st=8:i=592:sd=3:ep=RST:ss=axioms_2932 on theBenchmark for (2932ds/592Mi)
% 25.84/9.00 % (3483802)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1729496995:st=3:i=13193:sd=3:ss=axioms_2931 on theBenchmark for (2931ds/13193Mi)
% 25.84/9.00 % (3483801)Instruction limit reached!
% 25.84/9.00 % (3483801)------------------------------
% 25.84/9.00 % (3483801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483801)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483801)Termination reason: Instruction limit
% 25.84/9.00 % (3483801)Termination phase: SInE selection
% 25.84/9.00 % (3483801)Time elapsed: 0.381 s
% 25.84/9.00 % (3483801)Peak memory usage: 195 MB
% 25.84/9.00 % (3483801)Instructions burned: 593 (million)
% 25.84/9.00 % (3483805)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=4042294551:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2927 on theBenchmark for (2927ds/125Mi)
% 25.84/9.00 % (3483805)Instruction limit reached!
% 25.84/9.00 % (3483805)------------------------------
% 25.84/9.00 % (3483805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483805)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483805)Termination reason: Instruction limit
% 25.84/9.00 % (3483805)Termination phase: Property scanning
% 25.84/9.00 % (3483805)Time elapsed: 0.061 s
% 25.84/9.00 % (3483805)Peak memory usage: 193 MB
% 25.84/9.00 % (3483805)Instructions burned: 125 (million)
% 25.84/9.00 % (3483807)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4210072827:i=134:gtgl=5:slsql=off:gtg=exists_sym_2925 on theBenchmark for (2925ds/134Mi)
% 25.84/9.00 % (3483807)Instruction limit reached!
% 25.84/9.00 % (3483807)------------------------------
% 25.84/9.00 % (3483807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483807)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483807)Termination reason: Instruction limit
% 25.84/9.00 % (3483807)Termination phase: Property scanning
% 25.84/9.00 % (3483807)Time elapsed: 0.066 s
% 25.84/9.00 % (3483807)Peak memory usage: 193 MB
% 25.84/9.00 % (3483807)Instructions burned: 137 (million)
% 25.84/9.00 % (3483784)Instruction limit reached!
% 25.84/9.00 % (3483784)------------------------------
% 25.84/9.00 % (3483784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483784)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483784)Termination reason: Instruction limit
% 25.84/9.00 % (3483784)Termination phase: Preprocessing 3
% 25.84/9.00 % (3483784)Time elapsed: 1.892 s
% 25.84/9.00 % (3483784)Peak memory usage: 298 MB
% 25.84/9.00 % (3483784)Instructions burned: 2350 (million)
% 25.84/9.00 % (3483763)First to succeed.
% 25.84/9.00 % (3483763)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3483756"
% 25.84/9.00 % (3483809)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4001152403:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2922 on theBenchmark for (2922ds/141Mi)
% 25.84/9.00 % (3483810)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3074323580:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2922 on theBenchmark for (2922ds/431Mi)
% 25.84/9.00 % (3483762)Also succeeded, but the first one will report.
% 25.84/9.00 % (3483809)Instruction limit reached!
% 25.84/9.00 % (3483809)------------------------------
% 25.84/9.00 % (3483809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.84/9.00 % (3483809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.84/9.00 % (3483809)CaDiCaL version: 2.1.3
% 25.84/9.00 % (3483809)Termination reason: Instruction limit
% 25.84/9.00 % (3483809)Termination phase: SInE selection
% 25.84/9.00 % (3483809)Time elapsed: 0.113 s
% 25.84/9.00 % (3483809)Peak memory usage: 193 MB
% 25.84/9.00 % (3483809)Instructions burned: 141 (million)
% 25.84/9.00 % (3483763)Refutation found. Thanks to Tanya!
% 25.84/9.00 % SZS status Theorem for theBenchmark
% 25.84/9.00 % SZS output start Proof for theBenchmark
% See solution above
% 26.94/9.26 % (3483763)------------------------------
% 26.94/9.26 % (3483763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.94/9.26 % (3483763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/9.26 % (3483763)CaDiCaL version: 2.1.3
% 26.94/9.26 % (3483763)Termination reason: Refutation
% 26.94/9.26 % (3483763)Time elapsed: 2.477 s
% 26.94/9.26 % (3483763)Peak memory usage: 287 MB
% 26.94/9.26 % (3483763)Instructions burned: 3666 (million)
% 26.94/9.26 % (3483763)------------------------------
% 26.94/9.26 % (3483763)------------------------------
% 26.94/9.26 % (3483756)Success in time 8.132 s
% 26.94/9.26 % Vampire exiting
%------------------------------------------------------------------------------