%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU408+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 : n002.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 12:48:46 PM UTC 2026
% Result : Theorem 18.17s 8.09s
% Output : Refutation 20.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 25
% Syntax : Number of formulae : 156 ( 48 unt; 19 def)
% Number of atoms : 653 ( 47 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 882 ( 385 ~; 379 |; 81 &)
% ( 22 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 20 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-6 aty)
% Number of variables : 87 ( 0 sgn 81 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(f28604,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
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(f66035,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( ( v1_orders_2(X2)
& l1_orders_2(X2) )
=> ( X2 = k1_latsum_1(X0,X1)
<=> ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_latsum_1) ).
fof(f66046,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(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_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( r2_hidden(X2,u1_struct_0(X0))
=> m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_latsum_1) ).
fof(f66047,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(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_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( r2_hidden(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_latsum_1) ).
fof(f66048,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(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_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( r2_hidden(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
inference(negated_conjecture,[status(cth)],[f66047]) ).
fof(f66078,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(f66079,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,[],[f66078]) ).
fof(f66083,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_latsum_1(X0,X1)
<=> ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f66035]) ).
fof(f66084,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_latsum_1(X0,X1)
<=> ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f66083]) ).
fof(f66103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(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_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f66046]) ).
fof(f66104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(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_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f66103]) ).
fof(f66105,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
& r2_hidden(X2,u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(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_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f66048]) ).
fof(f66106,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
& r2_hidden(X2,u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(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_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f66105]) ).
fof(f66438,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28604]) ).
fof(f66439,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f66438]) ).
fof(f66444,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k1_latsum_1(X0,X1)
| u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) )
& ( ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) )
| k1_latsum_1(X0,X1) != X2 ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f66084]) ).
fof(f66445,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k1_latsum_1(X0,X1)
| u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) )
& ( ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) )
| k1_latsum_1(X0,X1) != X2 ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f66444]) ).
fof(f66448,plain,
( ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK2,sK3)))
& r2_hidden(sK4,u1_struct_0(sK3))
& ~ v3_struct_0(sK3)
& v2_orders_2(sK3)
& v3_orders_2(sK3)
& v4_orders_2(sK3)
& v1_lattice3(sK3)
& l1_orders_2(sK3)
& ~ v3_struct_0(sK2)
& v2_orders_2(sK2)
& v3_orders_2(sK2)
& v4_orders_2(sK2)
& v1_lattice3(sK2)
& l1_orders_2(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f66106]) ).
fof(f66628,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f66079]) ).
fof(f66629,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f66079]) ).
fof(f66653,plain,
! [X2,X0,X1] :
( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| k1_latsum_1(X0,X1) != X2
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f66445]) ).
fof(f66671,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(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_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f66104]) ).
fof(f66672,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f66448]) ).
fof(f66673,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f66448]) ).
fof(f66674,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f66448]) ).
fof(f66675,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f66448]) ).
fof(f66676,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f66448]) ).
fof(f66678,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f66448]) ).
fof(f66679,plain,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f66448]) ).
fof(f66680,plain,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f66448]) ).
fof(f66681,plain,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f66448]) ).
fof(f66682,plain,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f66448]) ).
fof(f66684,plain,
r2_hidden(sK4,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f66448]) ).
fof(f66685,plain,
~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK2,sK3))),
inference(cnf_transformation,[],[f66448]) ).
fof(f66822,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f67335,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f66439]) ).
fof(f67617,plain,
! [X0,X1] :
( k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1))
| ~ v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f66653]) ).
fof(f67877,definition,
( spl224_1
<=> m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl224_1])],[avatar_definition]) ).
fof(f67879,plain,
( ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK2,sK3)))
| spl224_1 ),
inference(avatar_component_clause,[],[f67877]) ).
fof(f67880,plain,
~ spl224_1,
inference(avatar_split_clause,[],[f66685,f67877]) ).
fof(f67920,definition,
( spl224_5
<=> r2_hidden(sK4,u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl224_5])],[avatar_definition]) ).
fof(f67922,plain,
( r2_hidden(sK4,u1_struct_0(sK3))
| ~ spl224_5 ),
inference(avatar_component_clause,[],[f67920]) ).
fof(f67923,plain,
spl224_5,
inference(avatar_split_clause,[],[f66684,f67920]) ).
fof(f67925,definition,
( spl224_6
<=> l1_orders_2(sK3) ),
introduced(definition,[new_symbols(definition,[spl224_6])],[avatar_definition]) ).
fof(f67927,plain,
( l1_orders_2(sK3)
| ~ spl224_6 ),
inference(avatar_component_clause,[],[f67925]) ).
fof(f67928,plain,
spl224_6,
inference(avatar_split_clause,[],[f66678,f67925]) ).
fof(f67930,definition,
( spl224_7
<=> l1_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl224_7])],[avatar_definition]) ).
fof(f67932,plain,
( l1_orders_2(sK2)
| ~ spl224_7 ),
inference(avatar_component_clause,[],[f67930]) ).
fof(f67933,plain,
spl224_7,
inference(avatar_split_clause,[],[f66672,f67930]) ).
fof(f67935,definition,
( spl224_8
<=> v1_lattice3(sK3) ),
introduced(definition,[new_symbols(definition,[spl224_8])],[avatar_definition]) ).
fof(f67937,plain,
( v1_lattice3(sK3)
| ~ spl224_8 ),
inference(avatar_component_clause,[],[f67935]) ).
fof(f67938,plain,
spl224_8,
inference(avatar_split_clause,[],[f66679,f67935]) ).
fof(f68080,definition,
( spl224_9
<=> v3_orders_2(sK3) ),
introduced(definition,[new_symbols(definition,[spl224_9])],[avatar_definition]) ).
fof(f68082,plain,
( v3_orders_2(sK3)
| ~ spl224_9 ),
inference(avatar_component_clause,[],[f68080]) ).
fof(f68083,plain,
spl224_9,
inference(avatar_split_clause,[],[f66681,f68080]) ).
fof(f68262,definition,
( spl224_10
<=> v1_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl224_10])],[avatar_definition]) ).
fof(f68264,plain,
( v1_lattice3(sK2)
| ~ spl224_10 ),
inference(avatar_component_clause,[],[f68262]) ).
fof(f68265,plain,
spl224_10,
inference(avatar_split_clause,[],[f66673,f68262]) ).
fof(f68267,definition,
( spl224_11
<=> v4_orders_2(sK3) ),
introduced(definition,[new_symbols(definition,[spl224_11])],[avatar_definition]) ).
fof(f68269,plain,
( v4_orders_2(sK3)
| ~ spl224_11 ),
inference(avatar_component_clause,[],[f68267]) ).
fof(f68270,plain,
spl224_11,
inference(avatar_split_clause,[],[f66680,f68267]) ).
fof(f68357,definition,
( spl224_12
<=> v3_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl224_12])],[avatar_definition]) ).
fof(f68359,plain,
( v3_orders_2(sK2)
| ~ spl224_12 ),
inference(avatar_component_clause,[],[f68357]) ).
fof(f68360,plain,
spl224_12,
inference(avatar_split_clause,[],[f66675,f68357]) ).
fof(f68362,definition,
( spl224_13
<=> v4_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl224_13])],[avatar_definition]) ).
fof(f68364,plain,
( v4_orders_2(sK2)
| ~ spl224_13 ),
inference(avatar_component_clause,[],[f68362]) ).
fof(f68365,plain,
spl224_13,
inference(avatar_split_clause,[],[f66674,f68362]) ).
fof(f68547,definition,
( spl224_15
<=> v2_orders_2(sK3) ),
introduced(definition,[new_symbols(definition,[spl224_15])],[avatar_definition]) ).
fof(f68549,plain,
( v2_orders_2(sK3)
| ~ spl224_15 ),
inference(avatar_component_clause,[],[f68547]) ).
fof(f68550,plain,
spl224_15,
inference(avatar_split_clause,[],[f66682,f68547]) ).
fof(f68552,definition,
( spl224_16
<=> v2_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl224_16])],[avatar_definition]) ).
fof(f68554,plain,
( v2_orders_2(sK2)
| ~ spl224_16 ),
inference(avatar_component_clause,[],[f68552]) ).
fof(f68555,plain,
spl224_16,
inference(avatar_split_clause,[],[f66676,f68552]) ).
fof(f68736,plain,
( ! [X0] :
( l1_orders_2(k1_latsum_1(X0,sK2))
| ~ l1_orders_2(X0) )
| ~ spl224_7 ),
inference(resolution,[],[f67932,f66628]) ).
fof(f68737,plain,
( ! [X0] :
( l1_orders_2(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(X0) )
| ~ spl224_7 ),
inference(resolution,[],[f67932,f66628]) ).
fof(f68738,plain,
( ! [X0] :
( v1_orders_2(k1_latsum_1(X0,sK2))
| ~ l1_orders_2(X0) )
| ~ spl224_7 ),
inference(resolution,[],[f67932,f66629]) ).
fof(f68739,plain,
( ! [X0] :
( v1_orders_2(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(X0) )
| ~ spl224_7 ),
inference(resolution,[],[f67932,f66629]) ).
fof(f68840,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK2))
| ~ v1_orders_2(k1_latsum_1(X0,sK2))
| ~ l1_orders_2(k1_latsum_1(X0,sK2))
| ~ l1_orders_2(X0) )
| ~ spl224_7 ),
inference(resolution,[],[f67932,f67617]) ).
fof(f68841,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(sK2,X0)) = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X0))
| ~ v1_orders_2(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(X0) )
| ~ spl224_7 ),
inference(resolution,[],[f67932,f67617]) ).
fof(f69951,definition,
( spl224_21
<=> ! [X0] :
( u1_struct_0(k1_latsum_1(sK2,X0)) = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X0))
| ~ v1_orders_2(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl224_21])],[avatar_definition]) ).
fof(f69952,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(sK2,X0)) = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X0))
| ~ v1_orders_2(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(X0) )
| ~ spl224_21 ),
inference(avatar_component_clause,[],[f69951]) ).
fof(f69953,plain,
( spl224_21
| ~ spl224_7 ),
inference(avatar_split_clause,[],[f68841,f67930,f69951]) ).
fof(f69954,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(sK2,X0)) = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X0))
| ~ l1_orders_2(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(X0) )
| ~ spl224_7
| ~ spl224_21 ),
inference(forward_subsumption_resolution,[],[f69952,f68739]) ).
fof(f69955,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(sK2,X0)) = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl224_7
| ~ spl224_21 ),
inference(forward_subsumption_resolution,[],[f69954,f68737]) ).
fof(f70119,definition,
( spl224_24
<=> ! [X0] :
( u1_struct_0(k1_latsum_1(sK2,X0)) = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl224_24])],[avatar_definition]) ).
fof(f70120,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(sK2,X0)) = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl224_24 ),
inference(avatar_component_clause,[],[f70119]) ).
fof(f70121,plain,
( spl224_24
| ~ spl224_7
| ~ spl224_21 ),
inference(avatar_split_clause,[],[f69955,f69951,f67930,f70119]) ).
fof(f72548,definition,
( spl224_35
<=> ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK2))
| ~ v1_orders_2(k1_latsum_1(X0,sK2))
| ~ l1_orders_2(k1_latsum_1(X0,sK2))
| ~ l1_orders_2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl224_35])],[avatar_definition]) ).
fof(f72549,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK2))
| ~ v1_orders_2(k1_latsum_1(X0,sK2))
| ~ l1_orders_2(k1_latsum_1(X0,sK2))
| ~ l1_orders_2(X0) )
| ~ spl224_35 ),
inference(avatar_component_clause,[],[f72548]) ).
fof(f72550,plain,
( spl224_35
| ~ spl224_7 ),
inference(avatar_split_clause,[],[f68840,f67930,f72548]) ).
fof(f72551,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK2))
| ~ l1_orders_2(k1_latsum_1(X0,sK2))
| ~ l1_orders_2(X0) )
| ~ spl224_7
| ~ spl224_35 ),
inference(forward_subsumption_resolution,[],[f72549,f68738]) ).
fof(f72552,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK2))
| ~ l1_orders_2(X0) )
| ~ spl224_7
| ~ spl224_35 ),
inference(forward_subsumption_resolution,[],[f72551,f68736]) ).
fof(f72554,definition,
( spl224_36
<=> ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK2))
| ~ l1_orders_2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl224_36])],[avatar_definition]) ).
fof(f72555,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK2))
| ~ l1_orders_2(X0) )
| ~ spl224_36 ),
inference(avatar_component_clause,[],[f72554]) ).
fof(f72556,plain,
( spl224_36
| ~ spl224_7
| ~ spl224_35 ),
inference(avatar_split_clause,[],[f72552,f72548,f67930,f72554]) ).
fof(f72604,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl224_36 ),
inference(superposition,[],[f66822,f72555]) ).
fof(f75708,definition,
( spl224_53
<=> ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl224_53])],[avatar_definition]) ).
fof(f75709,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl224_53 ),
inference(avatar_component_clause,[],[f75708]) ).
fof(f75710,plain,
( spl224_53
| ~ spl224_36 ),
inference(avatar_split_clause,[],[f72604,f72554,f75708]) ).
fof(f75726,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = u1_struct_0(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X0) )
| ~ spl224_24
| ~ spl224_53 ),
inference(superposition,[],[f70120,f75709]) ).
fof(f75844,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = u1_struct_0(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(X0) )
| ~ spl224_24
| ~ spl224_53 ),
inference(duplicate_literal_removal,[],[f75726]) ).
fof(f75880,definition,
( spl224_54
<=> ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = u1_struct_0(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl224_54])],[avatar_definition]) ).
fof(f75881,plain,
( ! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK2)) = u1_struct_0(k1_latsum_1(sK2,X0))
| ~ l1_orders_2(X0) )
| ~ spl224_54 ),
inference(avatar_component_clause,[],[f75880]) ).
fof(f75882,plain,
( spl224_54
| ~ spl224_24
| ~ spl224_53 ),
inference(avatar_split_clause,[],[f75844,f75708,f70119,f75880]) ).
fof(f76019,plain,
( ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK3,sK2)))
| ~ l1_orders_2(sK3)
| spl224_1
| ~ spl224_54 ),
inference(superposition,[],[f67879,f75881]) ).
fof(f76317,plain,
( ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK3,sK2)))
| spl224_1
| ~ spl224_6
| ~ spl224_54 ),
inference(forward_subsumption_resolution,[],[f76019,f67927]) ).
fof(f76636,definition,
( spl224_55
<=> m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK3,sK2))) ),
introduced(definition,[new_symbols(definition,[spl224_55])],[avatar_definition]) ).
fof(f76638,plain,
( ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK3,sK2)))
| spl224_55 ),
inference(avatar_component_clause,[],[f76636]) ).
fof(f76639,plain,
( ~ spl224_55
| spl224_1
| ~ spl224_6
| ~ spl224_54 ),
inference(avatar_split_clause,[],[f76317,f75880,f67925,f67877,f76636]) ).
fof(f76643,plain,
( ~ r2_hidden(sK4,u1_struct_0(sK3))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK3)
| ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| spl224_55 ),
inference(resolution,[],[f76638,f66671]) ).
fof(f76651,plain,
( v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK3)
| ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| ~ spl224_5
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76643,f67922]) ).
fof(f76656,plain,
( ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK3)
| ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| ~ spl224_5
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76651,f67335]) ).
fof(f76661,plain,
( ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK3)
| ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| ~ spl224_5
| ~ spl224_16
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76656,f68554]) ).
fof(f76665,plain,
( ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK3)
| ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| ~ spl224_5
| ~ spl224_12
| ~ spl224_16
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76661,f68359]) ).
fof(f76669,plain,
( ~ v1_lattice3(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK3)
| ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| ~ spl224_5
| ~ spl224_12
| ~ spl224_13
| ~ spl224_16
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76665,f68364]) ).
fof(f76674,plain,
( ~ l1_orders_2(sK2)
| v3_struct_0(sK3)
| ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| ~ spl224_5
| ~ spl224_10
| ~ spl224_12
| ~ spl224_13
| ~ spl224_16
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76669,f68264]) ).
fof(f76679,plain,
( v3_struct_0(sK3)
| ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| ~ spl224_5
| ~ spl224_7
| ~ spl224_10
| ~ spl224_12
| ~ spl224_13
| ~ spl224_16
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76674,f67932]) ).
fof(f76680,plain,
( ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| ~ spl224_5
| ~ spl224_7
| ~ spl224_10
| ~ spl224_12
| ~ spl224_13
| ~ spl224_16
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76679,f67335]) ).
fof(f76681,plain,
( ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| ~ spl224_5
| ~ spl224_7
| ~ spl224_10
| ~ spl224_12
| ~ spl224_13
| ~ spl224_15
| ~ spl224_16
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76680,f68549]) ).
fof(f76682,plain,
( ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| ~ spl224_5
| ~ spl224_7
| ~ spl224_9
| ~ spl224_10
| ~ spl224_12
| ~ spl224_13
| ~ spl224_15
| ~ spl224_16
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76681,f68082]) ).
fof(f76683,plain,
( ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| ~ spl224_5
| ~ spl224_7
| ~ spl224_9
| ~ spl224_10
| ~ spl224_11
| ~ spl224_12
| ~ spl224_13
| ~ spl224_15
| ~ spl224_16
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76682,f68269]) ).
fof(f76684,plain,
( ~ l1_orders_2(sK3)
| ~ spl224_5
| ~ spl224_7
| ~ spl224_8
| ~ spl224_9
| ~ spl224_10
| ~ spl224_11
| ~ spl224_12
| ~ spl224_13
| ~ spl224_15
| ~ spl224_16
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76683,f67937]) ).
fof(f76685,plain,
( $false
| ~ spl224_5
| ~ spl224_6
| ~ spl224_7
| ~ spl224_8
| ~ spl224_9
| ~ spl224_10
| ~ spl224_11
| ~ spl224_12
| ~ spl224_13
| ~ spl224_15
| ~ spl224_16
| spl224_55 ),
inference(forward_subsumption_resolution,[],[f76684,f67927]) ).
fof(f76686,plain,
( ~ spl224_5
| ~ spl224_6
| ~ spl224_7
| ~ spl224_8
| ~ spl224_9
| ~ spl224_10
| ~ spl224_11
| ~ spl224_12
| ~ spl224_13
| ~ spl224_15
| ~ spl224_16
| spl224_55 ),
inference(avatar_contradiction_clause,[],[f76685]) ).
cnf(s1,plain,
~ spl224_1,
inference(sat_conversion,[],[f67880]) ).
cnf(s5,plain,
spl224_5,
inference(sat_conversion,[],[f67923]) ).
cnf(s6,plain,
spl224_6,
inference(sat_conversion,[],[f67928]) ).
cnf(s7,plain,
spl224_7,
inference(sat_conversion,[],[f67933]) ).
cnf(s8,plain,
spl224_8,
inference(sat_conversion,[],[f67938]) ).
cnf(s9,plain,
spl224_9,
inference(sat_conversion,[],[f68083]) ).
cnf(s10,plain,
spl224_10,
inference(sat_conversion,[],[f68265]) ).
cnf(s11,plain,
spl224_11,
inference(sat_conversion,[],[f68270]) ).
cnf(s12,plain,
spl224_12,
inference(sat_conversion,[],[f68360]) ).
cnf(s13,plain,
spl224_13,
inference(sat_conversion,[],[f68365]) ).
cnf(s15,plain,
spl224_15,
inference(sat_conversion,[],[f68550]) ).
cnf(s16,plain,
spl224_16,
inference(sat_conversion,[],[f68555]) ).
cnf(s21,plain,
( ~ spl224_7
| spl224_21 ),
inference(sat_conversion,[],[f69953]) ).
cnf(s24,plain,
( ~ spl224_7
| ~ spl224_21
| spl224_24 ),
inference(sat_conversion,[],[f70121]) ).
cnf(s35,plain,
( ~ spl224_7
| spl224_35 ),
inference(sat_conversion,[],[f72550]) ).
cnf(s36,plain,
( ~ spl224_7
| ~ spl224_35
| spl224_36 ),
inference(sat_conversion,[],[f72556]) ).
cnf(s53,plain,
( ~ spl224_36
| spl224_53 ),
inference(sat_conversion,[],[f75710]) ).
cnf(s54,plain,
( ~ spl224_24
| ~ spl224_53
| spl224_54 ),
inference(sat_conversion,[],[f75882]) ).
cnf(s55,plain,
( spl224_1
| ~ spl224_6
| ~ spl224_54
| ~ spl224_55 ),
inference(sat_conversion,[],[f76639]) ).
cnf(s59,plain,
( ~ spl224_5
| ~ spl224_6
| ~ spl224_7
| ~ spl224_8
| ~ spl224_9
| ~ spl224_10
| ~ spl224_11
| ~ spl224_12
| ~ spl224_13
| ~ spl224_15
| ~ spl224_16
| spl224_55 ),
inference(sat_conversion,[],[f76686]) ).
cnf(s61,plain,
spl224_35,
inference(rat,[],[s35,s7]) ).
cnf(s64,plain,
spl224_21,
inference(rat,[],[s21,s7]) ).
cnf(s65,plain,
spl224_36,
inference(rat,[],[s36,s7,s61]) ).
cnf(s66,plain,
spl224_24,
inference(rat,[],[s24,s7,s64]) ).
cnf(s67,plain,
spl224_53,
inference(rat,[],[s53,s65]) ).
cnf(s75,plain,
spl224_54,
inference(rat,[],[s54,s66,s67]) ).
cnf(s90,plain,
spl224_55,
inference(rat,[],[s59,s6,s16,s15,s13,s12,s11,s10,s9,s8,s7,s5]) ).
cnf(s93,plain,
spl224_1,
inference(rat,[],[s55,s6,s75,s90]) ).
cnf(s101,plain,
$false,
inference(rat,[],[s1,s93]) ).
fof(f76687,plain,
$false,
inference(avatar_sat_refutation,[],[s101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU408+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 05:13:36 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 18.17/8.09 % (4170561)Detected formulas, will run a generic FOF schedule.
% 18.17/8.09 % (4170568)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=3743737220:i=141695:sd=1:nm=32:gsp=on:ss=included_2948 on theBenchmark for (2948ds/141695Mi)
% 18.17/8.09 % (4170567)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=3739087991:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2948 on theBenchmark for (2948ds/134677Mi)
% 18.17/8.09 % (4170566)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=441632347:i=141193_2948 on theBenchmark for (2948ds/141193Mi)
% 18.17/8.09 % (4170571)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1132938518:s2a=on:i=139:gtg=position_2948 on theBenchmark for (2948ds/139Mi)
% 18.17/8.09 % (4170569)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=999224737:i=109:sd=1:ins=1:gsp=on:ss=axioms_2948 on theBenchmark for (2948ds/109Mi)
% 18.17/8.09 % (4170572)dis-21_1_sil=8000:lcm=predicate:random_seed=3063219174: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)
% 18.17/8.09 % (4170570)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1315388555:i=119:av=off:ss=axioms_2948 on theBenchmark for (2948ds/119Mi)
% 18.17/8.09 % (4170571)Instruction limit reached!
% 18.17/8.09 % (4170571)------------------------------
% 18.17/8.09 % (4170571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170571)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170571)Termination reason: Instruction limit
% 18.17/8.09 % (4170571)Termination phase: Property scanning
% 18.17/8.09 % (4170571)Time elapsed: 0.067 s
% 18.17/8.09 % (4170571)Peak memory usage: 193 MB
% 18.17/8.09 % (4170571)Instructions burned: 139 (million)
% 18.17/8.09 % (4170569)Instruction limit reached!
% 18.17/8.09 % (4170569)------------------------------
% 18.17/8.09 % (4170569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170569)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170569)Termination reason: Instruction limit
% 18.17/8.09 % (4170569)Termination phase: SInE selection
% 18.17/8.09 % (4170569)Time elapsed: 0.084 s
% 18.17/8.09 % (4170569)Peak memory usage: 193 MB
% 18.17/8.09 % (4170569)Instructions burned: 110 (million)
% 18.17/8.09 % (4170570)Instruction limit reached!
% 18.17/8.09 % (4170570)------------------------------
% 18.17/8.09 % (4170570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170570)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170570)Termination reason: Instruction limit
% 18.17/8.09 % (4170570)Termination phase: SInE selection
% 18.17/8.09 % (4170570)Time elapsed: 0.086 s
% 18.17/8.09 % (4170570)Peak memory usage: 193 MB
% 18.17/8.09 % (4170570)Instructions burned: 120 (million)
% 18.17/8.09 % (4170572)Instruction limit reached!
% 18.17/8.09 % (4170572)------------------------------
% 18.17/8.09 % (4170572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170572)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170572)Termination reason: Instruction limit
% 18.17/8.09 % (4170572)Termination phase: SInE selection
% 18.17/8.09 % (4170572)Time elapsed: 0.094 s
% 18.17/8.09 % (4170572)Peak memory usage: 193 MB
% 18.17/8.09 % (4170572)Instructions burned: 130 (million)
% 18.17/8.09 % (4170580)lrs+10_1_sil=8000:sp=occurrence:random_seed=4273364076:i=285:sd=3:ss=axioms:sgt=8_2946 on theBenchmark for (2946ds/285Mi)
% 18.17/8.09 % (4170581)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3067190953:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2946 on theBenchmark for (2946ds/157Mi)
% 18.17/8.09 % (4170583)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=2067206871:s2a=on:i=248:s2at=1.23:gtg=position_2946 on theBenchmark for (2946ds/248Mi)
% 18.17/8.09 % (4170582)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3327003974:i=325:sd=1:ss=axioms:sgt=32_2946 on theBenchmark for (2946ds/325Mi)
% 18.17/8.09 % (4170581)Instruction limit reached!
% 18.17/8.09 % (4170581)------------------------------
% 18.17/8.09 % (4170581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170581)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170581)Termination reason: Instruction limit
% 18.17/8.09 % (4170581)Termination phase: Property scanning
% 18.17/8.09 % (4170581)Time elapsed: 0.073 s
% 18.17/8.09 % (4170581)Peak memory usage: 193 MB
% 18.17/8.09 % (4170581)Instructions burned: 158 (million)
% 18.17/8.09 % (4170583)Instruction limit reached!
% 18.17/8.09 % (4170583)------------------------------
% 18.17/8.09 % (4170583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170583)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170583)Termination reason: Instruction limit
% 18.17/8.09 % (4170583)Termination phase: Property scanning
% 18.17/8.09 % (4170583)Time elapsed: 0.113 s
% 18.17/8.09 % (4170583)Peak memory usage: 193 MB
% 18.17/8.09 % (4170583)Instructions burned: 250 (million)
% 18.17/8.09 % (4170580)Instruction limit reached!
% 18.17/8.09 % (4170580)------------------------------
% 18.17/8.09 % (4170580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170580)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170580)Termination reason: Instruction limit
% 18.17/8.09 % (4170580)Termination phase: SInE selection
% 18.17/8.09 % (4170580)Time elapsed: 0.208 s
% 18.17/8.09 % (4170580)Peak memory usage: 193 MB
% 18.17/8.09 % (4170580)Instructions burned: 286 (million)
% 18.17/8.09 % (4170588)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4028746980:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2944 on theBenchmark for (2944ds/294Mi)
% 18.17/8.09 % (4170582)Instruction limit reached!
% 18.17/8.09 % (4170582)------------------------------
% 18.17/8.09 % (4170582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170582)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170582)Termination reason: Instruction limit
% 18.17/8.09 % (4170582)Termination phase: SInE selection
% 18.17/8.09 % (4170582)Time elapsed: 0.254 s
% 18.17/8.09 % (4170582)Peak memory usage: 193 MB
% 18.17/8.09 % (4170582)Instructions burned: 326 (million)
% 18.17/8.09 % (4170589)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3798616522:i=2350_2943 on theBenchmark for (2943ds/2350Mi)
% 18.17/8.09 % (4170590)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1189648242:cts=off:i=113:fsr=off:ss=included:sgt=4_2942 on theBenchmark for (2942ds/113Mi)
% 18.17/8.09 % (4170593)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2631950989:i=127:av=off:fsr=off:sup=off_2942 on theBenchmark for (2942ds/127Mi)
% 18.17/8.09 % (4170590)Instruction limit reached!
% 18.17/8.09 % (4170590)------------------------------
% 18.17/8.09 % (4170590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170590)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170590)Termination reason: Instruction limit
% 18.17/8.09 % (4170590)Termination phase: SInE selection
% 18.17/8.09 % (4170590)Time elapsed: 0.088 s
% 18.17/8.09 % (4170590)Peak memory usage: 193 MB
% 18.17/8.09 % (4170590)Instructions burned: 113 (million)
% 18.17/8.09 % (4170588)Instruction limit reached!
% 18.17/8.09 % (4170588)------------------------------
% 18.17/8.09 % (4170588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170588)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170588)Termination reason: Instruction limit
% 18.17/8.09 % (4170588)Termination phase: SInE selection
% 18.17/8.09 % (4170588)Time elapsed: 0.217 s
% 18.17/8.09 % (4170588)Peak memory usage: 193 MB
% 18.17/8.09 % (4170588)Instructions burned: 294 (million)
% 18.17/8.09 % (4170593)Instruction limit reached!
% 18.17/8.09 % (4170593)------------------------------
% 18.17/8.09 % (4170593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170593)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170593)Termination reason: Instruction limit
% 18.17/8.09 % (4170593)Termination phase: Preprocessing 1
% 18.17/8.09 % (4170593)Time elapsed: 0.101 s
% 18.17/8.09 % (4170593)Peak memory usage: 194 MB
% 18.17/8.09 % (4170593)Instructions burned: 127 (million)
% 18.17/8.09 % (4170596)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1238262820:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2940 on theBenchmark for (2940ds/114Mi)
% 18.17/8.09 % (4170597)lrs+10_1_sil=8000:sp=occurrence:random_seed=2512780534:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2940 on theBenchmark for (2940ds/907Mi)
% 18.17/8.09 % (4170596)Instruction limit reached!
% 18.17/8.09 % (4170596)------------------------------
% 18.17/8.09 % (4170596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170596)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170596)Termination reason: Instruction limit
% 18.17/8.09 % (4170596)Termination phase: Property scanning
% 18.17/8.09 % (4170596)Time elapsed: 0.056 s
% 18.17/8.09 % (4170596)Peak memory usage: 193 MB
% 18.17/8.09 % (4170596)Instructions burned: 115 (million)
% 18.17/8.09 % (4170598)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3970216961:i=437:sd=1:aac=none:ss=included_2939 on theBenchmark for (2939ds/437Mi)
% 18.17/8.09 % (4170601)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=455876141:i=5202:ss=axioms:sgt=16_2938 on theBenchmark for (2938ds/5202Mi)
% 18.17/8.09 % (4170598)Instruction limit reached!
% 18.17/8.09 % (4170598)------------------------------
% 18.17/8.09 % (4170598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170598)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170598)Termination reason: Instruction limit
% 18.17/8.09 % (4170598)Termination phase: SInE selection
% 18.17/8.09 % (4170598)Time elapsed: 0.332 s
% 18.17/8.09 % (4170598)Peak memory usage: 194 MB
% 18.17/8.09 % (4170598)Instructions burned: 438 (million)
% 18.17/8.09 % (4170604)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1291906888:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2934 on theBenchmark for (2934ds/134Mi)
% 18.17/8.09 % (4170604)Instruction limit reached!
% 18.17/8.09 % (4170604)------------------------------
% 18.17/8.09 % (4170604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170604)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170604)Termination reason: Instruction limit
% 18.17/8.09 % (4170604)Termination phase: SInE selection
% 18.17/8.09 % (4170604)Time elapsed: 0.107 s
% 18.17/8.09 % (4170604)Peak memory usage: 193 MB
% 18.17/8.09 % (4170604)Instructions burned: 134 (million)
% 18.17/8.09 % (4170597)Instruction limit reached!
% 18.17/8.09 % (4170597)------------------------------
% 18.17/8.09 % (4170597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/8.09 % (4170597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/8.09 % (4170597)CaDiCaL version: 2.1.3
% 18.17/8.09 % (4170597)Termination reason: Instruction limit
% 18.17/8.09 % (4170597)Termination phase: Unused predicate definition removal
% 18.17/8.09 % (4170597)Time elapsed: 0.697 s
% 18.17/8.09 % (4170597)Peak memory usage: 199 MB
% 18.17/8.09 % (4170597)Instructions burned: 907 (million)
% 18.17/8.09 % (4170606)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3382598163:st=8:i=592:sd=3:ep=RST:ss=axioms_2932 on theBenchmark for (2932ds/592Mi)
% 18.17/8.09 % (4170607)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4237198218:st=3:i=13193:sd=3:ss=axioms_2932 on theBenchmark for (2932ds/13193Mi)
% 18.17/8.09 % (4170568)First to succeed.
% 18.17/8.09 % (4170568)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4170561"
% 18.17/8.09 % (4170568)Refutation found. Thanks to Tanya!
% 18.17/8.09 % SZS status Theorem for theBenchmark
% 18.17/8.09 % SZS output start Proof for theBenchmark
% See solution above
% 20.74/8.33 % (4170568)------------------------------
% 20.74/8.33 % (4170568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.74/8.33 % (4170568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.74/8.33 % (4170568)CaDiCaL version: 2.1.3
% 20.74/8.33 % (4170568)Termination reason: Refutation
% 20.74/8.33 % (4170568)Time elapsed: 1.793 s
% 20.74/8.33 % (4170568)Peak memory usage: 282 MB
% 20.74/8.33 % (4170568)Instructions burned: 4869 (million)
% 20.74/8.33 % (4170568)------------------------------
% 20.74/8.33 % (4170568)------------------------------
% 20.74/8.33 % (4170561)Success in time 7.25 s
% 20.74/8.33 % Vampire exiting
%------------------------------------------------------------------------------