%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT359+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 11:47:18 AM UTC 2026
% Result : Theorem 72.32s 11.56s
% Output : Refutation 72.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 121 ( 17 unt; 5 def)
% Number of atoms : 387 ( 66 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 464 ( 198 ~; 196 |; 37 &)
% ( 15 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 164 ( 0 sgn 156 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f294,axiom,
! [X0,X1,X2,X3] :
( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
<=> ( r2_hidden(X0,X2)
& r2_hidden(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f538,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f795,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1,X2] :
( ( r2_hidden(X1,k1_relat_1(X0))
=> ( X2 = k1_funct_1(X0,X1)
<=> r2_hidden(k4_tarski(X1,X2),X0) ) )
& ( ~ r2_hidden(X1,k1_relat_1(X0))
=> ( X2 = k1_funct_1(X0,X1)
<=> X2 = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f2018,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_binop_1) ).
fof(f4338,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( m1_pboole(X1,X0)
<=> k1_relat_1(X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pboole) ).
fof(f4517,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ( v1_relat_1(X1)
& v1_funct_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_pboole) ).
fof(f7400,axiom,
! [X0] :
( l1_altcat_1(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_altcat_1(X0,X1,X2) = k1_binop_1(u1_altcat_1(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_altcat_1) ).
fof(f7444,axiom,
! [X0] :
( l2_altcat_1(X0)
=> l1_altcat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
fof(f7458,axiom,
! [X0] :
( l1_altcat_1(X0)
=> m1_pboole(u1_altcat_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_altcat_1) ).
fof(f10346,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_altcat_1(X0) )
=> ! [X1,X2,X3] :
~ ( r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2))
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
=> ~ ( X4 = X1
& X5 = X2
& r2_hidden(X3,k1_altcat_1(X0,X4,X5))
& m1_subset_1(X3,k1_altcat_1(X0,X4,X5)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_waybel34) ).
fof(f10347,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& l2_altcat_1(X0) )
=> ! [X1,X2,X3] :
~ ( r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2))
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
=> ~ ( X4 = X1
& X5 = X2
& r2_hidden(X3,k1_altcat_1(X0,X4,X5))
& m1_subset_1(X3,k1_altcat_1(X0,X4,X5)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f10346]) ).
fof(f10357,plain,
? [X0] :
( ? [X1,X2,X3] :
( r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2))
& ! [X4] :
( ! [X5] :
( X1 != X4
| X2 != X5
| ~ r2_hidden(X3,k1_altcat_1(X0,X4,X5))
| ~ m1_subset_1(X3,k1_altcat_1(X0,X4,X5))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
& ~ v3_struct_0(X0)
& l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f10347]) ).
fof(f10358,plain,
? [X0] :
( ? [X1,X2,X3] :
( r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2))
& ! [X4] :
( ! [X5] :
( X1 != X4
| X2 != X5
| ~ r2_hidden(X3,k1_altcat_1(X0,X4,X5))
| ~ m1_subset_1(X3,k1_altcat_1(X0,X4,X5))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
& ~ v3_struct_0(X0)
& l2_altcat_1(X0) ),
inference(flattening,[],[f10357]) ).
fof(f10363,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f538]) ).
fof(f10371,plain,
! [X0] :
( ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f2018]) ).
fof(f10372,plain,
! [X0] :
( ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f10371]) ).
fof(f10378,plain,
! [X0] :
( m1_pboole(u1_altcat_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_altcat_1(X0) ),
inference(ennf_transformation,[],[f7458]) ).
fof(f10379,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_altcat_1(X0,X1,X2) = k1_binop_1(u1_altcat_1(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_altcat_1(X0) ),
inference(ennf_transformation,[],[f7400]) ).
fof(f10385,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f10404,plain,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f4517]) ).
fof(f10408,plain,
! [X0,X1] :
( ( m1_pboole(X1,X0)
<=> k1_relat_1(X1) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f4338]) ).
fof(f10409,plain,
! [X0,X1] :
( ( m1_pboole(X1,X0)
<=> k1_relat_1(X1) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f10408]) ).
fof(f10435,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = k1_funct_1(X0,X1)
<=> r2_hidden(k4_tarski(X1,X2),X0) )
| ~ r2_hidden(X1,k1_relat_1(X0)) )
& ( ( X2 = k1_funct_1(X0,X1)
<=> X2 = k1_xboole_0 )
| r2_hidden(X1,k1_relat_1(X0)) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f795]) ).
fof(f10436,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = k1_funct_1(X0,X1)
<=> r2_hidden(k4_tarski(X1,X2),X0) )
| ~ r2_hidden(X1,k1_relat_1(X0)) )
& ( ( X2 = k1_funct_1(X0,X1)
<=> X2 = k1_xboole_0 )
| r2_hidden(X1,k1_relat_1(X0)) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f10435]) ).
fof(f10490,plain,
! [X0] :
( l1_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f7444]) ).
fof(f10661,plain,
( r2_hidden(sK4,k1_binop_1(u1_altcat_1(sK1),sK2,sK3))
& ! [X4] :
( ! [X5] :
( sK2 != X4
| sK3 != X5
| ~ r2_hidden(sK4,k1_altcat_1(sK1,X4,X5))
| ~ m1_subset_1(sK4,k1_altcat_1(sK1,X4,X5))
| ~ m1_subset_1(X5,u1_struct_0(sK1)) )
| ~ m1_subset_1(X4,u1_struct_0(sK1)) )
& ~ v3_struct_0(sK1)
& l2_altcat_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4)],[f10358]) ).
fof(f10679,plain,
! [X0,X1] :
( ( ( m1_pboole(X1,X0)
| k1_relat_1(X1) != X0 )
& ( k1_relat_1(X1) = X0
| ~ m1_pboole(X1,X0) ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(nnf_transformation,[],[f10409]) ).
fof(f10693,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( X2 = k1_funct_1(X0,X1)
| ~ r2_hidden(k4_tarski(X1,X2),X0) )
& ( r2_hidden(k4_tarski(X1,X2),X0)
| k1_funct_1(X0,X1) != X2 ) )
| ~ r2_hidden(X1,k1_relat_1(X0)) )
& ( ( ( X2 = k1_funct_1(X0,X1)
| k1_xboole_0 != X2 )
& ( X2 = k1_xboole_0
| k1_funct_1(X0,X1) != X2 ) )
| r2_hidden(X1,k1_relat_1(X0)) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(nnf_transformation,[],[f10436]) ).
fof(f10729,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X1,X3) )
& ( ( r2_hidden(X0,X2)
& r2_hidden(X1,X3) )
| ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ) ),
inference(nnf_transformation,[],[f294]) ).
fof(f10730,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X1,X3) )
& ( ( r2_hidden(X0,X2)
& r2_hidden(X1,X3) )
| ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ) ),
inference(flattening,[],[f10729]) ).
fof(f10812,plain,
l2_altcat_1(sK1),
inference(cnf_transformation,[],[f10661]) ).
fof(f10814,plain,
! [X4,X5] :
( sK2 != X4
| sK3 != X5
| ~ r2_hidden(sK4,k1_altcat_1(sK1,X4,X5))
| ~ m1_subset_1(sK4,k1_altcat_1(sK1,X4,X5))
| ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(X4,u1_struct_0(sK1)) ),
inference(cnf_transformation,[],[f10661]) ).
fof(f10815,plain,
r2_hidden(sK4,k1_binop_1(u1_altcat_1(sK1),sK2,sK3)),
inference(cnf_transformation,[],[f10661]) ).
fof(f10820,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f10363]) ).
fof(f10833,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_funct_1(X0,k4_tarski(X1,X2)) = k1_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10372]) ).
fof(f10840,plain,
! [X0] :
( m1_pboole(u1_altcat_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_altcat_1(X0) ),
inference(cnf_transformation,[],[f10378]) ).
fof(f10841,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_altcat_1(X0,X1,X2) = k1_binop_1(u1_altcat_1(X0),X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_altcat_1(X0) ),
inference(cnf_transformation,[],[f10379]) ).
fof(f10849,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f10385]) ).
fof(f10876,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| v1_funct_1(X1) ),
inference(cnf_transformation,[],[f10404]) ).
fof(f10877,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| v1_relat_1(X1) ),
inference(cnf_transformation,[],[f10404]) ).
fof(f10881,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| k1_relat_1(X1) = X0
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f10679]) ).
fof(f10916,plain,
! [X2,X0,X1] :
( k1_xboole_0 = X2
| k1_funct_1(X0,X1) != X2
| r2_hidden(X1,k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10693]) ).
fof(f10980,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X1,X3) ),
inference(cnf_transformation,[],[f10730]) ).
fof(f10981,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f10730]) ).
fof(f11047,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f24]) ).
fof(f11048,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| l1_altcat_1(X0) ),
inference(cnf_transformation,[],[f10490]) ).
fof(f11289,plain,
! [X5] :
( sK3 != X5
| ~ r2_hidden(sK4,k1_altcat_1(sK1,sK2,X5))
| ~ m1_subset_1(sK4,k1_altcat_1(sK1,sK2,X5))
| ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(equality_resolution,[],[f10814]) ).
fof(f11290,plain,
( ~ r2_hidden(sK4,k1_altcat_1(sK1,sK2,sK3))
| ~ m1_subset_1(sK4,k1_altcat_1(sK1,sK2,sK3))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(equality_resolution,[],[f11289]) ).
fof(f11298,plain,
! [X0,X1] :
( r2_hidden(X1,k1_relat_1(X0))
| k1_xboole_0 = k1_funct_1(X0,X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_resolution,[],[f10916]) ).
fof(f11364,plain,
( ~ r2_hidden(sK4,k1_altcat_1(sK1,sK2,sK3))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f11290,f10820]) ).
fof(f11368,definition,
( spl131_1
<=> m1_subset_1(sK2,u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl131_1])],[avatar_definition]) ).
fof(f11369,plain,
( m1_subset_1(sK2,u1_struct_0(sK1))
| ~ spl131_1 ),
inference(avatar_component_clause,[],[f11368]) ).
fof(f11370,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK1))
| spl131_1 ),
inference(avatar_component_clause,[],[f11368]) ).
fof(f11372,definition,
( spl131_2
<=> m1_subset_1(sK3,u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl131_2])],[avatar_definition]) ).
fof(f11373,plain,
( m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl131_2 ),
inference(avatar_component_clause,[],[f11372]) ).
fof(f11374,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| spl131_2 ),
inference(avatar_component_clause,[],[f11372]) ).
fof(f11376,definition,
( spl131_3
<=> r2_hidden(sK4,k1_altcat_1(sK1,sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl131_3])],[avatar_definition]) ).
fof(f11378,plain,
( ~ r2_hidden(sK4,k1_altcat_1(sK1,sK2,sK3))
| spl131_3 ),
inference(avatar_component_clause,[],[f11376]) ).
fof(f11379,plain,
( ~ spl131_1
| ~ spl131_2
| ~ spl131_3 ),
inference(avatar_split_clause,[],[f11364,f11376,f11372,f11368]) ).
fof(f11381,plain,
l1_altcat_1(sK1),
inference(resolution,[],[f11048,f10812]) ).
fof(f11383,plain,
~ v1_xboole_0(k1_binop_1(u1_altcat_1(sK1),sK2,sK3)),
inference(resolution,[],[f10849,f10815]) ).
fof(f11392,plain,
! [X0] :
( v1_relat_1(u1_altcat_1(X0))
| ~ l1_altcat_1(X0) ),
inference(resolution,[],[f10877,f10840]) ).
fof(f11409,plain,
! [X0] :
( v1_funct_1(u1_altcat_1(X0))
| ~ l1_altcat_1(X0) ),
inference(resolution,[],[f10876,f10840]) ).
fof(f11410,plain,
! [X2,X0,X1] :
( ~ l1_altcat_1(X0)
| ~ v1_relat_1(u1_altcat_1(X0))
| k1_binop_1(u1_altcat_1(X0),X1,X2) = k1_funct_1(u1_altcat_1(X0),k4_tarski(X1,X2)) ),
inference(resolution,[],[f11409,f10833]) ).
fof(f11411,plain,
! [X2,X0,X1] :
( ~ l1_altcat_1(X0)
| k1_binop_1(u1_altcat_1(X0),X1,X2) = k1_funct_1(u1_altcat_1(X0),k4_tarski(X1,X2)) ),
inference(forward_subsumption_resolution,[],[f11410,f11392]) ).
fof(f11412,plain,
! [X0,X1] : k1_binop_1(u1_altcat_1(sK1),X0,X1) = k1_funct_1(u1_altcat_1(sK1),k4_tarski(X0,X1)),
inference(resolution,[],[f11411,f11381]) ).
fof(f11431,definition,
( spl131_4
<=> v1_funct_1(u1_altcat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl131_4])],[avatar_definition]) ).
fof(f11432,plain,
( v1_funct_1(u1_altcat_1(sK1))
| ~ spl131_4 ),
inference(avatar_component_clause,[],[f11431]) ).
fof(f11433,plain,
( ~ v1_funct_1(u1_altcat_1(sK1))
| spl131_4 ),
inference(avatar_component_clause,[],[f11431]) ).
fof(f11435,definition,
( spl131_5
<=> v1_relat_1(u1_altcat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl131_5])],[avatar_definition]) ).
fof(f11436,plain,
( v1_relat_1(u1_altcat_1(sK1))
| ~ spl131_5 ),
inference(avatar_component_clause,[],[f11435]) ).
fof(f11437,plain,
( ~ v1_relat_1(u1_altcat_1(sK1))
| spl131_5 ),
inference(avatar_component_clause,[],[f11435]) ).
fof(f11442,plain,
( ~ l1_altcat_1(sK1)
| spl131_4 ),
inference(resolution,[],[f11433,f11409]) ).
fof(f11443,plain,
( $false
| spl131_4 ),
inference(forward_subsumption_resolution,[],[f11442,f11381]) ).
fof(f11444,plain,
spl131_4,
inference(avatar_contradiction_clause,[],[f11443]) ).
fof(f11445,plain,
( ~ l1_altcat_1(sK1)
| spl131_5 ),
inference(resolution,[],[f11437,f11392]) ).
fof(f11446,plain,
( $false
| spl131_5 ),
inference(forward_subsumption_resolution,[],[f11445,f11381]) ).
fof(f11447,plain,
spl131_5,
inference(avatar_contradiction_clause,[],[f11446]) ).
fof(f11518,plain,
! [X0] :
( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) = k1_relat_1(u1_altcat_1(X0))
| ~ v1_relat_1(u1_altcat_1(X0))
| ~ v1_funct_1(u1_altcat_1(X0))
| ~ l1_altcat_1(X0) ),
inference(resolution,[],[f10881,f10840]) ).
fof(f11519,plain,
! [X0] :
( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) = k1_relat_1(u1_altcat_1(X0))
| ~ v1_funct_1(u1_altcat_1(X0))
| ~ l1_altcat_1(X0) ),
inference(forward_subsumption_resolution,[],[f11518,f11392]) ).
fof(f11520,plain,
! [X0] :
( ~ l1_altcat_1(X0)
| k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) = k1_relat_1(u1_altcat_1(X0)) ),
inference(forward_subsumption_resolution,[],[f11519,f11409]) ).
fof(f11521,plain,
k1_relat_1(u1_altcat_1(sK1)) = k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),
inference(resolution,[],[f11520,f11381]) ).
fof(f11525,plain,
! [X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k1_relat_1(u1_altcat_1(sK1)))
| r2_hidden(X1,u1_struct_0(sK1)) ),
inference(superposition,[],[f10980,f11521]) ).
fof(f11526,plain,
! [X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k1_relat_1(u1_altcat_1(sK1)))
| r2_hidden(X0,u1_struct_0(sK1)) ),
inference(superposition,[],[f10981,f11521]) ).
fof(f11528,plain,
! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| k1_xboole_0 = k1_funct_1(u1_altcat_1(sK1),k4_tarski(X0,X1))
| ~ v1_relat_1(u1_altcat_1(sK1))
| ~ v1_funct_1(u1_altcat_1(sK1)) ),
inference(resolution,[],[f11526,f11298]) ).
fof(f11529,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| k1_xboole_0 = k1_funct_1(u1_altcat_1(sK1),k4_tarski(X0,X1))
| ~ v1_funct_1(u1_altcat_1(sK1)) )
| ~ spl131_5 ),
inference(forward_subsumption_resolution,[],[f11528,f11436]) ).
fof(f11530,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| k1_xboole_0 = k1_funct_1(u1_altcat_1(sK1),k4_tarski(X0,X1)) )
| ~ spl131_4
| ~ spl131_5 ),
inference(forward_subsumption_resolution,[],[f11529,f11432]) ).
fof(f11531,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| k1_xboole_0 = k1_binop_1(u1_altcat_1(sK1),X0,X1) )
| ~ spl131_4
| ~ spl131_5 ),
inference(forward_demodulation,[],[f11530,f11412]) ).
fof(f11536,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(sK1))
| k1_xboole_0 = k1_binop_1(u1_altcat_1(sK1),X0,X1) )
| ~ spl131_4
| ~ spl131_5 ),
inference(resolution,[],[f11531,f10820]) ).
fof(f11573,plain,
! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| k1_xboole_0 = k1_funct_1(u1_altcat_1(sK1),k4_tarski(X1,X0))
| ~ v1_relat_1(u1_altcat_1(sK1))
| ~ v1_funct_1(u1_altcat_1(sK1)) ),
inference(resolution,[],[f11525,f11298]) ).
fof(f11574,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| k1_xboole_0 = k1_funct_1(u1_altcat_1(sK1),k4_tarski(X1,X0))
| ~ v1_funct_1(u1_altcat_1(sK1)) )
| ~ spl131_5 ),
inference(forward_subsumption_resolution,[],[f11573,f11436]) ).
fof(f11575,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| k1_xboole_0 = k1_funct_1(u1_altcat_1(sK1),k4_tarski(X1,X0)) )
| ~ spl131_4
| ~ spl131_5 ),
inference(forward_subsumption_resolution,[],[f11574,f11432]) ).
fof(f11576,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| k1_xboole_0 = k1_binop_1(u1_altcat_1(sK1),X1,X0) )
| ~ spl131_4
| ~ spl131_5 ),
inference(forward_demodulation,[],[f11575,f11412]) ).
fof(f11577,plain,
( ! [X0] : k1_xboole_0 = k1_binop_1(u1_altcat_1(sK1),sK2,X0)
| spl131_1
| ~ spl131_4
| ~ spl131_5 ),
inference(resolution,[],[f11536,f11370]) ).
fof(f11610,plain,
( ~ v1_xboole_0(k1_xboole_0)
| spl131_1
| ~ spl131_4
| ~ spl131_5 ),
inference(superposition,[],[f11383,f11577]) ).
fof(f11618,plain,
( $false
| spl131_1
| ~ spl131_4
| ~ spl131_5 ),
inference(forward_subsumption_resolution,[],[f11610,f11047]) ).
fof(f11619,plain,
( spl131_1
| ~ spl131_4
| ~ spl131_5 ),
inference(avatar_contradiction_clause,[],[f11618]) ).
fof(f11658,plain,
( ! [X0,X1] :
( m1_subset_1(X1,u1_struct_0(sK1))
| k1_xboole_0 = k1_binop_1(u1_altcat_1(sK1),X0,X1) )
| ~ spl131_4
| ~ spl131_5 ),
inference(resolution,[],[f11576,f10820]) ).
fof(f11686,plain,
( ! [X0] : k1_xboole_0 = k1_binop_1(u1_altcat_1(sK1),X0,sK3)
| spl131_2
| ~ spl131_4
| ~ spl131_5 ),
inference(resolution,[],[f11658,f11374]) ).
fof(f11692,plain,
( ~ v1_xboole_0(k1_xboole_0)
| spl131_2
| ~ spl131_4
| ~ spl131_5 ),
inference(superposition,[],[f11383,f11686]) ).
fof(f11699,plain,
( $false
| spl131_2
| ~ spl131_4
| ~ spl131_5 ),
inference(forward_subsumption_resolution,[],[f11692,f11047]) ).
fof(f11700,plain,
( spl131_2
| ~ spl131_4
| ~ spl131_5 ),
inference(avatar_contradiction_clause,[],[f11699]) ).
fof(f11706,plain,
( ! [X0] :
( k1_binop_1(u1_altcat_1(sK1),X0,sK3) = k1_altcat_1(sK1,X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l1_altcat_1(sK1) )
| ~ spl131_2 ),
inference(resolution,[],[f11373,f10841]) ).
fof(f11709,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| k1_binop_1(u1_altcat_1(sK1),X0,sK3) = k1_altcat_1(sK1,X0,sK3) )
| ~ spl131_2 ),
inference(forward_subsumption_resolution,[],[f11706,f11381]) ).
fof(f11713,plain,
( k1_binop_1(u1_altcat_1(sK1),sK2,sK3) = k1_altcat_1(sK1,sK2,sK3)
| ~ spl131_1
| ~ spl131_2 ),
inference(resolution,[],[f11709,f11369]) ).
fof(f11722,plain,
( r2_hidden(sK4,k1_altcat_1(sK1,sK2,sK3))
| ~ spl131_1
| ~ spl131_2 ),
inference(superposition,[],[f10815,f11713]) ).
fof(f11729,plain,
( $false
| ~ spl131_1
| ~ spl131_2
| spl131_3 ),
inference(forward_subsumption_resolution,[],[f11722,f11378]) ).
fof(f11730,plain,
( ~ spl131_1
| ~ spl131_2
| spl131_3 ),
inference(avatar_contradiction_clause,[],[f11729]) ).
cnf(s1,plain,
( ~ spl131_1
| ~ spl131_2
| ~ spl131_3 ),
inference(sat_conversion,[],[f11379]) ).
cnf(s3,plain,
spl131_4,
inference(sat_conversion,[],[f11444]) ).
cnf(s4,plain,
spl131_5,
inference(sat_conversion,[],[f11447]) ).
cnf(s14,plain,
( spl131_1
| ~ spl131_4
| ~ spl131_5 ),
inference(sat_conversion,[],[f11619]) ).
cnf(s19,plain,
( spl131_2
| ~ spl131_4
| ~ spl131_5 ),
inference(sat_conversion,[],[f11700]) ).
cnf(s20,plain,
( ~ spl131_1
| ~ spl131_2
| spl131_3 ),
inference(sat_conversion,[],[f11730]) ).
cnf(s23,plain,
spl131_2,
inference(rat,[],[s19,s4,s3]) ).
cnf(s24,plain,
spl131_1,
inference(rat,[],[s14,s4,s3]) ).
cnf(s27,plain,
spl131_3,
inference(rat,[],[s20,s23,s24]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s1,s27,s23,s24]) ).
fof(f11731,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT359+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:00:04 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 12.42/3.04 % (4087379)Detected formulas, will run a generic FOF schedule.
% 12.42/3.04 % (4087390)dis-21_1_sil=8000:lcm=predicate:random_seed=3869195789:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 12.42/3.04 % (4087388)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2350366418:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 12.42/3.04 % (4087387)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1564097695:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 12.42/3.04 % (4087384)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=2271283898:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 12.42/3.04 % (4087385)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=2072968389:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 12.42/3.04 % (4087386)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=1457962347:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 12.42/3.04 % (4087390)Instruction limit reached!
% 12.42/3.04 % (4087390)------------------------------
% 12.42/3.04 % (4087390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.42/3.04 % (4087390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.42/3.04 % (4087390)CaDiCaL version: 2.1.3
% 12.42/3.04 % (4087390)Termination reason: Instruction limit
% 12.42/3.04 % (4087390)Termination phase: Preprocessing 1
% 12.42/3.04 % (4087390)Time elapsed: 0.060 s
% 12.42/3.04 % (4087390)Peak memory usage: 100 MB
% 12.42/3.04 % (4087390)Instructions burned: 129 (million)
% 12.42/3.04 % (4087389)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3506786060:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 12.42/3.04 % (4087387)Refutation not found, incomplete strategy
% 12.42/3.04 % (4087387)------------------------------
% 12.42/3.04 % (4087387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.42/3.04 % (4087387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.42/3.04 % (4087387)CaDiCaL version: 2.1.3
% 12.42/3.04 % (4087387)Termination reason: Refutation not found, incomplete strategy
% 12.42/3.04 % (4087387)Time elapsed: 0.053 s
% 12.42/3.04 % (4087387)Peak memory usage: 103 MB
% 12.42/3.04 % (4087387)Instructions burned: 64 (million)
% 12.42/3.04 % (4087389)Instruction limit reached!
% 12.42/3.04 % (4087389)------------------------------
% 12.42/3.04 % (4087389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.42/3.04 % (4087389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.42/3.04 % (4087389)CaDiCaL version: 2.1.3
% 12.42/3.04 % (4087389)Termination reason: Instruction limit
% 12.42/3.04 % (4087389)Termination phase: Property scanning
% 12.42/3.04 % (4087389)Time elapsed: 0.062 s
% 12.42/3.04 % (4087389)Peak memory usage: 99 MB
% 12.42/3.04 % (4087389)Instructions burned: 141 (million)
% 12.42/3.04 % (4087388)Instruction limit reached!
% 12.42/3.04 % (4087388)------------------------------
% 12.42/3.04 % (4087388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.42/3.04 % (4087388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.42/3.04 % (4087388)CaDiCaL version: 2.1.3
% 12.42/3.04 % (4087388)Termination reason: Instruction limit
% 12.42/3.04 % (4087388)Termination phase: Saturation
% 12.42/3.04 % (4087388)Time elapsed: 0.092 s
% 12.42/3.04 % (4087388)Peak memory usage: 103 MB
% 12.42/3.04 % (4087388)Instructions burned: 120 (million)
% 12.42/3.04 % (4087398)lrs+10_1_sil=8000:sp=occurrence:random_seed=2439159721:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 12.42/3.04 % (4087399)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3247487915:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 12.42/3.04 % (4087398)Instruction limit reached!
% 12.42/3.04 % (4087398)------------------------------
% 12.42/3.04 % (4087398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.42/3.04 % (4087398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.42/3.04 % (4087398)CaDiCaL version: 2.1.3
% 12.42/3.04 % (4087398)Termination reason: Instruction limit
% 17.61/3.88 % (4087398)Termination phase: Saturation
% 17.61/3.88 % (4087398)Time elapsed: 0.116 s
% 17.61/3.88 % (4087398)Peak memory usage: 106 MB
% 17.61/3.88 % (4087398)Instructions burned: 285 (million)
% 17.61/3.88 % (4087400)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3765083371:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 17.61/3.88 % (4087399)Instruction limit reached!
% 17.61/3.88 % (4087399)------------------------------
% 17.61/3.88 % (4087399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/3.88 % (4087399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/3.88 % (4087399)CaDiCaL version: 2.1.3
% 17.61/3.88 % (4087399)Termination reason: Instruction limit
% 17.61/3.88 % (4087399)Termination phase: SInE selection
% 17.61/3.88 % (4087399)Time elapsed: 0.073 s
% 17.61/3.88 % (4087399)Peak memory usage: 99 MB
% 17.61/3.88 % (4087399)Instructions burned: 158 (million)
% 17.61/3.88 % (4087387)------------------------------
% 17.61/3.88 % (4087387)------------------------------
% 17.61/3.88 % (4087404)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=202905412:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 17.61/3.88 % (4087400)Refutation not found, incomplete strategy
% 17.61/3.88 % (4087400)------------------------------
% 17.61/3.88 % (4087400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/3.88 % (4087400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/3.88 % (4087400)CaDiCaL version: 2.1.3
% 17.61/3.88 % (4087400)Termination reason: Refutation not found, incomplete strategy
% 17.61/3.88 % (4087400)Time elapsed: 0.089 s
% 17.61/3.88 % (4087400)Peak memory usage: 104 MB
% 17.61/3.88 % (4087400)Instructions burned: 110 (million)
% 17.61/3.88 % (4087404)Instruction limit reached!
% 17.61/3.88 % (4087404)------------------------------
% 17.61/3.88 % (4087404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/3.88 % (4087404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/3.88 % (4087404)CaDiCaL version: 2.1.3
% 17.61/3.88 % (4087404)Termination reason: Instruction limit
% 17.61/3.88 % (4087404)Termination phase: Preprocessing 1
% 17.61/3.88 % (4087404)Time elapsed: 0.077 s
% 17.61/3.88 % (4087404)Peak memory usage: 100 MB
% 17.61/3.88 % (4087404)Instructions burned: 248 (million)
% 17.61/3.88 % (4087405)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2114815988:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 17.61/3.88 % (4087406)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2346960650:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 17.61/3.88 % (4087408)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3711513032:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 17.61/3.88 % (4087408)Instruction limit reached!
% 17.61/3.88 % (4087408)------------------------------
% 17.61/3.88 % (4087408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/3.88 % (4087408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/3.88 % (4087408)CaDiCaL version: 2.1.3
% 17.61/3.88 % (4087408)Termination reason: Instruction limit
% 17.61/3.88 % (4087408)Termination phase: Preprocessing 3
% 17.61/3.88 % (4087408)Time elapsed: 0.052 s
% 17.61/3.88 % (4087408)Peak memory usage: 102 MB
% 17.61/3.88 % (4087408)Instructions burned: 115 (million)
% 17.61/3.88 % (4087400)------------------------------
% 17.61/3.88 % (4087400)------------------------------
% 17.61/3.88 % (4087405)Instruction limit reached!
% 17.61/3.88 % (4087405)------------------------------
% 17.61/3.88 % (4087405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/3.88 % (4087405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/3.88 % (4087405)CaDiCaL version: 2.1.3
% 17.61/3.88 % (4087405)Termination reason: Instruction limit
% 17.61/3.88 % (4087405)Termination phase: Saturation
% 17.61/3.88 % (4087405)Time elapsed: 0.184 s
% 17.61/3.88 % (4087405)Peak memory usage: 106 MB
% 17.61/3.88 % (4087405)Instructions burned: 295 (million)
% 17.61/3.88 % (4087412)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1348098282:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 17.61/3.88 % (4087412)Instruction limit reached!
% 17.61/3.88 % (4087412)------------------------------
% 17.61/3.88 % (4087412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.67/8.32 % (4087412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.67/8.32 % (4087412)CaDiCaL version: 2.1.3
% 49.67/8.32 % (4087412)Termination reason: Instruction limit
% 49.67/8.32 % (4087412)Termination phase: Preprocessing 2
% 49.67/8.32 % (4087412)Time elapsed: 0.063 s
% 49.67/8.32 % (4087412)Peak memory usage: 107 MB
% 49.67/8.32 % (4087412)Instructions burned: 128 (million)
% 49.67/8.32 % (4087413)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3543016405:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 49.67/8.32 % (4087414)lrs+10_1_sil=8000:sp=occurrence:random_seed=3501505700:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 49.67/8.32 % (4087413)Instruction limit reached!
% 49.67/8.32 % (4087413)------------------------------
% 49.67/8.32 % (4087413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.67/8.32 % (4087413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.67/8.32 % (4087413)CaDiCaL version: 2.1.3
% 49.67/8.32 % (4087413)Termination reason: Instruction limit
% 49.67/8.32 % (4087413)Termination phase: Property scanning
% 49.67/8.32 % (4087413)Time elapsed: 0.051 s
% 49.67/8.32 % (4087413)Peak memory usage: 99 MB
% 49.67/8.32 % (4087413)Instructions burned: 116 (million)
% 49.67/8.32 % (4087416)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=237655749:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 49.67/8.32 % (4087419)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2080454395:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 49.67/8.32 % (4087416)Instruction limit reached!
% 49.67/8.32 % (4087416)------------------------------
% 49.67/8.32 % (4087416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.67/8.32 % (4087416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.67/8.32 % (4087416)CaDiCaL version: 2.1.3
% 49.67/8.32 % (4087416)Termination reason: Instruction limit
% 49.67/8.32 % (4087416)Termination phase: Saturation
% 49.67/8.32 % (4087416)Time elapsed: 0.147 s
% 49.67/8.32 % (4087416)Peak memory usage: 105 MB
% 49.67/8.32 % (4087416)Instructions burned: 439 (million)
% 49.67/8.32 % (4087422)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2811954744:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 49.67/8.32 % (4087422)Instruction limit reached!
% 49.67/8.32 % (4087422)------------------------------
% 49.67/8.32 % (4087422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.67/8.32 % (4087422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.67/8.32 % (4087422)CaDiCaL version: 2.1.3
% 49.67/8.32 % (4087422)Termination reason: Instruction limit
% 49.67/8.32 % (4087422)Termination phase: Property scanning
% 49.67/8.32 % (4087422)Time elapsed: 0.057 s
% 49.67/8.32 % (4087422)Peak memory usage: 103 MB
% 49.67/8.32 % (4087422)Instructions burned: 138 (million)
% 49.67/8.32 % (4087424)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3777103985:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 49.67/8.32 % (4087414)Instruction limit reached!
% 49.67/8.32 % (4087414)------------------------------
% 49.67/8.32 % (4087414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.67/8.32 % (4087414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.67/8.32 % (4087414)CaDiCaL version: 2.1.3
% 49.67/8.32 % (4087414)Termination reason: Instruction limit
% 49.67/8.32 % (4087414)Termination phase: Saturation
% 49.67/8.32 % (4087414)Time elapsed: 0.603 s
% 49.67/8.32 % (4087414)Peak memory usage: 112 MB
% 49.67/8.32 % (4087414)Instructions burned: 908 (million)
% 49.67/8.32 % (4087424)Instruction limit reached!
% 49.67/8.32 % (4087424)------------------------------
% 49.67/8.32 % (4087424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.67/8.32 % (4087424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.67/8.32 % (4087424)CaDiCaL version: 2.1.3
% 49.67/8.32 % (4087424)Termination reason: Instruction limit
% 49.67/8.32 % (4087424)Termination phase: Property scanning
% 49.67/8.32 % (4087424)Time elapsed: 0.216 s
% 49.67/8.32 % (4087424)Peak memory usage: 118 MB
% 49.67/8.32 % (4087424)Instructions burned: 598 (million)
% 49.67/8.32 % (4087426)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2036850517:st=3:i=13193:sd=3:ss=axioms_2979 on theBenchmark for (2979ds/13193Mi)
% 66.92/10.81 % (4087427)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=1250098349:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 66.92/10.81 % (4087427)Instruction limit reached!
% 66.92/10.81 % (4087427)------------------------------
% 66.92/10.81 % (4087427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.92/10.81 % (4087427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.92/10.81 % (4087427)CaDiCaL version: 2.1.3
% 66.92/10.81 % (4087427)Termination reason: Instruction limit
% 66.92/10.81 % (4087427)Termination phase: Property scanning
% 66.92/10.81 % (4087427)Time elapsed: 0.029 s
% 66.92/10.81 % (4087427)Peak memory usage: 99 MB
% 66.92/10.81 % (4087427)Instructions burned: 127 (million)
% 66.92/10.81 % (4087430)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2336580921:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 66.92/10.81 % (4087430)Instruction limit reached!
% 66.92/10.81 % (4087430)------------------------------
% 66.92/10.81 % (4087430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.92/10.81 % (4087430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.92/10.81 % (4087430)CaDiCaL version: 2.1.3
% 66.92/10.81 % (4087430)Termination reason: Instruction limit
% 66.92/10.81 % (4087430)Termination phase: Property scanning
% 66.92/10.81 % (4087430)Time elapsed: 0.032 s
% 66.92/10.81 % (4087430)Peak memory usage: 99 MB
% 66.92/10.81 % (4087430)Instructions burned: 137 (million)
% 66.92/10.81 % (4087432)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2048418470:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 66.92/10.81 % (4087432)Refutation not found, incomplete strategy
% 66.92/10.81 % (4087432)------------------------------
% 66.92/10.81 % (4087432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.92/10.81 % (4087432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.92/10.81 % (4087432)CaDiCaL version: 2.1.3
% 66.92/10.81 % (4087432)Termination reason: Refutation not found, incomplete strategy
% 66.92/10.81 % (4087432)Time elapsed: 0.032 s
% 66.92/10.81 % (4087432)Peak memory usage: 103 MB
% 66.92/10.81 % (4087432)Instructions burned: 62 (million)
% 66.92/10.81 % (4087432)------------------------------
% 66.92/10.81 % (4087432)------------------------------
% 66.92/10.81 % (4087406)Instruction limit reached!
% 66.92/10.81 % (4087406)------------------------------
% 66.92/10.81 % (4087406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.92/10.81 % (4087406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.92/10.81 % (4087406)CaDiCaL version: 2.1.3
% 66.92/10.81 % (4087406)Termination reason: Instruction limit
% 66.92/10.81 % (4087406)Termination phase: Saturation
% 66.92/10.81 % (4087406)Time elapsed: 1.569 s
% 66.92/10.81 % (4087406)Peak memory usage: 265 MB
% 66.92/10.81 % (4087406)Instructions burned: 2351 (million)
% 66.92/10.81 % (4087434)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=506846056:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 66.92/10.81 % (4087434)Instruction limit reached!
% 66.92/10.81 % (4087434)------------------------------
% 66.92/10.81 % (4087434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.92/10.81 % (4087434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.92/10.81 % (4087434)CaDiCaL version: 2.1.3
% 66.92/10.81 % (4087434)Termination reason: Instruction limit
% 66.92/10.81 % (4087434)Termination phase: Saturation
% 66.92/10.81 % (4087434)Time elapsed: 0.137 s
% 66.92/10.81 % (4087434)Peak memory usage: 105 MB
% 66.92/10.81 % (4087434)Instructions burned: 432 (million)
% 66.92/10.81 % (4087436)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1675236736:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 66.92/10.81 % (4087437)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2800226238:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 66.92/10.81 % (4087437)Instruction limit reached!
% 66.92/10.81 % (4087437)------------------------------
% 66.92/10.81 % (4087437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087437)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087437)Termination reason: Instruction limit
% 72.32/11.56 % (4087437)Termination phase: Unused predicate definition removal
% 72.32/11.56 % (4087437)Time elapsed: 0.071 s
% 72.32/11.56 % (4087437)Peak memory usage: 102 MB
% 72.32/11.56 % (4087437)Instructions burned: 150 (million)
% 72.32/11.56 % (4087440)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=918140924:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 72.32/11.56 % (4087419)Instruction limit reached!
% 72.32/11.56 % (4087419)------------------------------
% 72.32/11.56 % (4087419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087419)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087419)Termination reason: Instruction limit
% 72.32/11.56 % (4087419)Termination phase: Saturation
% 72.32/11.56 % (4087419)Time elapsed: 3.339 s
% 72.32/11.56 % (4087419)Peak memory usage: 175 MB
% 72.32/11.56 % (4087419)Instructions burned: 5203 (million)
% 72.32/11.56 % (4087442)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2070748224:i=667:av=off:fsr=off_2950 on theBenchmark for (2950ds/667Mi)
% 72.32/11.56 % (4087442)Instruction limit reached!
% 72.32/11.56 % (4087442)------------------------------
% 72.32/11.56 % (4087442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087442)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087442)Termination reason: Instruction limit
% 72.32/11.56 % (4087442)Termination phase: NewCNF
% 72.32/11.56 % (4087442)Time elapsed: 0.482 s
% 72.32/11.56 % (4087442)Peak memory usage: 128 MB
% 72.32/11.56 % (4087442)Instructions burned: 668 (million)
% 72.32/11.56 % (4087444)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=66200949:s2a=on:i=185:s2at=1.8:fdi=4_2944 on theBenchmark for (2944ds/185Mi)
% 72.32/11.56 % (4087444)Instruction limit reached!
% 72.32/11.56 % (4087444)------------------------------
% 72.32/11.56 % (4087444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087444)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087444)Termination reason: Instruction limit
% 72.32/11.56 % (4087444)Termination phase: Preprocessing 2
% 72.32/11.56 % (4087444)Time elapsed: 0.145 s
% 72.32/11.56 % (4087444)Peak memory usage: 102 MB
% 72.32/11.56 % (4087444)Instructions burned: 185 (million)
% 72.32/11.56 % (4087446)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3747997925:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2941 on theBenchmark for (2941ds/193Mi)
% 72.32/11.56 % (4087446)Instruction limit reached!
% 72.32/11.56 % (4087446)------------------------------
% 72.32/11.56 % (4087446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087446)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087446)Termination reason: Instruction limit
% 72.32/11.56 % (4087446)Termination phase: Saturation
% 72.32/11.56 % (4087446)Time elapsed: 0.149 s
% 72.32/11.56 % (4087446)Peak memory usage: 105 MB
% 72.32/11.56 % (4087446)Instructions burned: 194 (million)
% 72.32/11.56 % (4087448)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1096195603:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2938 on theBenchmark for (2938ds/4850Mi)
% 72.32/11.56 % (4087436)Instruction limit reached!
% 72.32/11.56 % (4087436)------------------------------
% 72.32/11.56 % (4087436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087436)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087436)Termination reason: Instruction limit
% 72.32/11.56 % (4087436)Termination phase: Saturation
% 72.32/11.56 % (4087436)Time elapsed: 4.413 s
% 72.32/11.56 % (4087436)Peak memory usage: 502 MB
% 72.32/11.56 % (4087436)Instructions burned: 6062 (million)
% 72.32/11.56 % (4087450)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=158874160:i=12111:sd=1:ss=included_2926 on theBenchmark for (2926ds/12111Mi)
% 72.32/11.56 % (4087440)Instruction limit reached!
% 72.32/11.56 % (4087440)------------------------------
% 72.32/11.56 % (4087440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087440)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087440)Termination reason: Instruction limit
% 72.32/11.56 % (4087440)Termination phase: Saturation
% 72.32/11.56 % (4087440)Time elapsed: 4.876 s
% 72.32/11.56 % (4087440)Peak memory usage: 347 MB
% 72.32/11.56 % (4087440)Instructions burned: 14155 (million)
% 72.32/11.56 % (4087452)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1052840950:i=319:kws=precedence:fsr=off_2919 on theBenchmark for (2919ds/319Mi)
% 72.32/11.56 % (4087452)Instruction limit reached!
% 72.32/11.56 % (4087452)------------------------------
% 72.32/11.56 % (4087452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087452)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087452)Termination reason: Instruction limit
% 72.32/11.56 % (4087452)Termination phase: Preprocessing 3
% 72.32/11.56 % (4087452)Time elapsed: 0.130 s
% 72.32/11.56 % (4087452)Peak memory usage: 117 MB
% 72.32/11.56 % (4087452)Instructions burned: 322 (million)
% 72.32/11.56 % (4087454)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2419678682:i=2064:ep=RST_2917 on theBenchmark for (2917ds/2064Mi)
% 72.32/11.56 % (4087454)Instruction limit reached!
% 72.32/11.56 % (4087454)------------------------------
% 72.32/11.56 % (4087454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087454)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087454)Termination reason: Instruction limit
% 72.32/11.56 % (4087454)Termination phase: Saturation
% 72.32/11.56 % (4087454)Time elapsed: 0.583 s
% 72.32/11.56 % (4087454)Peak memory usage: 153 MB
% 72.32/11.56 % (4087454)Instructions burned: 2066 (million)
% 72.32/11.56 % (4087448)Instruction limit reached!
% 72.32/11.56 % (4087448)------------------------------
% 72.32/11.56 % (4087448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087448)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087448)Termination reason: Instruction limit
% 72.32/11.56 % (4087448)Termination phase: Saturation
% 72.32/11.56 % (4087448)Time elapsed: 2.650 s
% 72.32/11.56 % (4087448)Peak memory usage: 166 MB
% 72.32/11.56 % (4087448)Instructions burned: 4851 (million)
% 72.32/11.56 % (4087456)dis-1011_128_sil=32000:random_seed=2858545426:i=3706:ep=RST:av=off_2910 on theBenchmark for (2910ds/3706Mi)
% 72.32/11.56 % (4087457)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2896259099:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2910 on theBenchmark for (2910ds/757Mi)
% 72.32/11.56 % (4087457)Refutation not found, incomplete strategy
% 72.32/11.56 % (4087457)------------------------------
% 72.32/11.56 % (4087457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087457)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087457)Termination reason: Refutation not found, incomplete strategy
% 72.32/11.56 % (4087457)Time elapsed: 0.066 s
% 72.32/11.56 % (4087457)Peak memory usage: 104 MB
% 72.32/11.56 % (4087457)Instructions burned: 76 (million)
% 72.32/11.56 % (4087457)------------------------------
% 72.32/11.56 % (4087457)------------------------------
% 72.32/11.56 % (4087460)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1747609377:i=13913:ss=axioms:sgt=8_2906 on theBenchmark for (2906ds/13913Mi)
% 72.32/11.56 % (4087426)Instruction limit reached!
% 72.32/11.56 % (4087426)------------------------------
% 72.32/11.56 % (4087426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087426)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087426)Termination reason: Instruction limit
% 72.32/11.56 % (4087426)Termination phase: Saturation
% 72.32/11.56 % (4087426)Time elapsed: 7.613 s
% 72.32/11.56 % (4087426)Peak memory usage: 244 MB
% 72.32/11.56 % (4087426)Instructions burned: 13194 (million)
% 72.32/11.56 % (4087462)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3731226672:i=9925:aac=none_2901 on theBenchmark for (2901ds/9925Mi)
% 72.32/11.56 % (4087456)Instruction limit reached!
% 72.32/11.56 % (4087456)------------------------------
% 72.32/11.56 % (4087456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087456)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087456)Termination reason: Instruction limit
% 72.32/11.56 % (4087456)Termination phase: Saturation
% 72.32/11.56 % (4087456)Time elapsed: 1.121 s
% 72.32/11.56 % (4087456)Peak memory usage: 160 MB
% 72.32/11.56 % (4087456)Instructions burned: 3709 (million)
% 72.32/11.56 % (4087464)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1864833079:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2898 on theBenchmark for (2898ds/2479Mi)
% 72.32/11.56 % (4087464)Refutation not found, incomplete strategy
% 72.32/11.56 % (4087464)------------------------------
% 72.32/11.56 % (4087464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087464)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087464)Termination reason: Refutation not found, incomplete strategy
% 72.32/11.56 % (4087464)Time elapsed: 0.066 s
% 72.32/11.56 % (4087464)Peak memory usage: 104 MB
% 72.32/11.56 % (4087464)Instructions burned: 147 (million)
% 72.32/11.56 % (4087460)First to succeed.
% 72.32/11.56 % (4087460)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4087379"
% 72.32/11.56 % (4087464)------------------------------
% 72.32/11.56 % (4087464)------------------------------
% 72.32/11.56 % (4087466)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2281830146:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2895 on theBenchmark for (2895ds/440Mi)
% 72.32/11.56 % (4087466)Instruction limit reached!
% 72.32/11.56 % (4087466)------------------------------
% 72.32/11.56 % (4087466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.32/11.56 % (4087466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.32/11.56 % (4087466)CaDiCaL version: 2.1.3
% 72.32/11.56 % (4087466)Termination reason: Instruction limit
% 72.32/11.56 % (4087466)Termination phase: Preprocessing 2
% 72.32/11.56 % (4087466)Time elapsed: 0.126 s
% 72.32/11.56 % (4087466)Peak memory usage: 103 MB
% 72.32/11.56 % (4087466)Instructions burned: 440 (million)
% 72.32/11.56 % (4087460)Refutation found. Thanks to Tanya!
% 72.32/11.56 % SZS status Theorem for theBenchmark
% 72.32/11.56 % SZS output start Proof for theBenchmark
% See solution above
% 72.90/11.68 % (4087460)------------------------------
% 72.90/11.68 % (4087460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.90/11.68 % (4087460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.90/11.68 % (4087460)CaDiCaL version: 2.1.3
% 72.90/11.68 % (4087460)Termination reason: Refutation
% 72.90/11.68 % (4087460)Time elapsed: 0.881 s
% 72.90/11.68 % (4087460)Peak memory usage: 155 MB
% 72.90/11.68 % (4087460)Instructions burned: 1316 (million)
% 72.90/11.68 % (4087460)------------------------------
% 72.90/11.68 % (4087460)------------------------------
% 72.90/11.68 % (4087379)Success in time 10.701 s
% 72.90/11.68 % Vampire exiting
%------------------------------------------------------------------------------