%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU408+1 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:46 PM UTC 2026
% Result : Theorem 1.98s 1.75s
% Output : Refutation 5.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 50 ( 15 unt; 0 def)
% Number of atoms : 249 ( 44 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 307 ( 108 ~; 84 |; 87 &)
% ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-6 aty)
% Number of variables : 101 ( 92 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,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)],[f1]) ).
fof(f6,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(f7,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(f8,axiom,
! [X0,X1,X2] :
( X2 = k2_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f10,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(f45,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f56,plain,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(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(pure_predicate_removal,[],[f2]) ).
fof(f57,plain,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(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(pure_predicate_removal,[],[f56]) ).
fof(f58,plain,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(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(pure_predicate_removal,[],[f57]) ).
fof(f59,plain,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(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(pure_predicate_removal,[],[f58]) ).
fof(f60,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)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f61,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)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f60]) ).
fof(f66,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,[],[f7]) ).
fof(f67,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,[],[f66]) ).
fof(f69,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,[],[f10]) ).
fof(f70,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,[],[f69]) ).
fof(f91,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f101,plain,
( ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
& r2_hidden(sK2,u1_struct_0(sK1))
& ~ v3_struct_0(sK1)
& l1_orders_2(sK1)
& ~ v3_struct_0(sK0)
& l1_orders_2(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f61]) ).
fof(f102,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,[],[f67]) ).
fof(f103,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,[],[f102]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK3(X0,X1,X2),X0)
& ~ r2_hidden(sK3(X0,X1,X2),X1) )
| ~ r2_hidden(sK3(X0,X1,X2),X2) )
& ( r2_hidden(sK3(X0,X1,X2),X0)
| r2_hidden(sK3(X0,X1,X2),X1)
| r2_hidden(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f106]) ).
fof(f118,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f120,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f101]) ).
fof(f122,plain,
r2_hidden(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f101]) ).
fof(f123,plain,
~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f101]) ).
fof(f127,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f129,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,[],[f103]) ).
fof(f133,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f139,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f140,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f173,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f181,plain,
! [X0,X1] :
( u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(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,[],[f129]) ).
fof(f183,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X0)
| r2_hidden(X4,k2_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f133]) ).
fof(f190,plain,
~ r2_hidden(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(resolution,[],[f173,f123]) ).
fof(f198,plain,
! [X0] : r2_hidden(sK2,k2_xboole_0(u1_struct_0(sK1),X0)),
inference(resolution,[],[f183,f122]) ).
fof(f294,plain,
! [X0,X1] :
( u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f181,f140]) ).
fof(f295,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f294,f139]) ).
fof(f298,plain,
! [X0] :
( ~ l1_orders_2(X0)
| u1_struct_0(k1_latsum_1(X0,sK0)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK0)) ),
inference(resolution,[],[f295,f118]) ).
fof(f299,plain,
! [X0] :
( ~ l1_orders_2(X0)
| u1_struct_0(k1_latsum_1(X0,sK1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)) ),
inference(resolution,[],[f295,f120]) ).
fof(f338,plain,
u1_struct_0(k1_latsum_1(sK1,sK0)) = k2_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)),
inference(resolution,[],[f298,f120]) ).
fof(f393,plain,
u1_struct_0(k1_latsum_1(sK0,sK1)) = k2_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),
inference(resolution,[],[f299,f118]) ).
fof(f776,plain,
r2_hidden(sK2,u1_struct_0(k1_latsum_1(sK1,sK0))),
inference(superposition,[],[f198,f338]) ).
fof(f794,plain,
u1_struct_0(k1_latsum_1(sK0,sK1)) = k2_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)),
inference(forward_demodulation,[],[f393,f127]) ).
fof(f795,plain,
u1_struct_0(k1_latsum_1(sK0,sK1)) = u1_struct_0(k1_latsum_1(sK1,sK0)),
inference(forward_demodulation,[],[f794,f338]) ).
fof(f800,plain,
~ r2_hidden(sK2,u1_struct_0(k1_latsum_1(sK1,sK0))),
inference(superposition,[],[f190,f795]) ).
fof(f840,plain,
$false,
inference(forward_subsumption_resolution,[],[f800,f776]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU408+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n003.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 28 05:12:57 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 1.98/1.75 % (1209083)Detected formulas, will run a generic FOF schedule.
% 1.98/1.75 % (1209096)dis-21_1_sil=8000:lcm=predicate:random_seed=2823652407:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.98/1.75 % (1209090)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=92149484:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.98/1.75 % (1209096)Instruction limit reached!
% 1.98/1.75 % (1209096)------------------------------
% 1.98/1.75 % (1209096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.98/1.75 % (1209096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/1.75 % (1209096)CaDiCaL version: 2.1.3
% 1.98/1.75 % (1209096)Termination reason: Instruction limit
% 1.98/1.75 % (1209096)Termination phase: Saturation
% 1.98/1.75 % (1209096)Time elapsed: 0.064 s
% 1.98/1.75 % (1209096)Peak memory usage: 90 MB
% 1.98/1.75 % (1209096)Instructions burned: 130 (million)
% 1.98/1.75 % (1209093)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1077092530:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.98/1.75 % (1209092)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=1525910201:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.98/1.75 % (1209091)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=1131514800:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.98/1.75 % (1209093)Refutation not found, incomplete strategy
% 1.98/1.75 % (1209093)------------------------------
% 1.98/1.75 % (1209093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.98/1.75 % (1209093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/1.75 % (1209093)CaDiCaL version: 2.1.3
% 1.98/1.75 % (1209093)Termination reason: Refutation not found, incomplete strategy
% 1.98/1.75 % (1209093)Time elapsed: 0.002 s
% 1.98/1.75 % (1209093)Peak memory usage: 88 MB
% 1.98/1.75 % (1209093)Instructions burned: 1 (million)
% 1.98/1.75 % (1209095)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1514700726:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.98/1.75 % (1209094)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3207166178:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.98/1.75 % (1209094)Refutation not found, incomplete strategy
% 1.98/1.75 % (1209094)------------------------------
% 1.98/1.75 % (1209094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.98/1.75 % (1209094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/1.75 % (1209094)CaDiCaL version: 2.1.3
% 1.98/1.75 % (1209094)Termination reason: Refutation not found, incomplete strategy
% 1.98/1.75 % (1209094)Time elapsed: 0.003 s
% 1.98/1.75 % (1209094)Peak memory usage: 88 MB
% 1.98/1.75 % (1209094)Instructions burned: 1 (million)
% 1.98/1.75 % (1209095)First to succeed.
% 1.98/1.75 % (1209095)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1209083"
% 1.98/1.75 % (1209101)lrs+10_1_sil=8000:sp=occurrence:random_seed=1914309584:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.98/1.75 % (1209093)------------------------------
% 1.98/1.75 % (1209093)------------------------------
% 1.98/1.75 % (1209101)Instruction limit reached!
% 1.98/1.75 % (1209101)------------------------------
% 1.98/1.75 % (1209101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.98/1.75 % (1209101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/1.75 % (1209101)CaDiCaL version: 2.1.3
% 1.98/1.75 % (1209101)Termination reason: Instruction limit
% 1.98/1.75 % (1209101)Termination phase: Saturation
% 1.98/1.75 % (1209101)Time elapsed: 0.145 s
% 1.98/1.75 % (1209101)Peak memory usage: 92 MB
% 1.98/1.75 % (1209101)Instructions burned: 286 (million)
% 1.98/1.75 % (1209094)------------------------------
% 1.98/1.75 % (1209094)------------------------------
% 1.98/1.75 % (1209095)Refutation found. Thanks to Tanya!
% 1.98/1.75 % SZS status Theorem for theBenchmark
% 1.98/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 5.89/1.98 % (1209095)------------------------------
% 5.89/1.98 % (1209095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.98 % (1209095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.98 % (1209095)CaDiCaL version: 2.1.3
% 5.89/1.98 % (1209095)Termination reason: Refutation
% 5.89/1.98 % (1209095)Time elapsed: 0.035 s
% 5.89/1.98 % (1209095)Peak memory usage: 89 MB
% 5.89/1.98 % (1209095)Instructions burned: 29 (million)
% 5.89/1.98 % (1209095)------------------------------
% 5.89/1.98 % (1209095)------------------------------
% 5.89/1.98 % (1209083)Success in time 0.727 s
% 5.89/1.98 % Vampire exiting
%------------------------------------------------------------------------------