%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU407+3 : 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 : n019.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 12:48:45 PM UTC 2026
% Result : Theorem 12.65s 3.83s
% Output : Refutation 14.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 79 ( 15 unt; 2 def)
% Number of atoms : 316 ( 41 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 396 ( 159 ~; 146 |; 65 &)
% ( 11 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-6 aty)
% Number of variables : 114 ( 0 sgn 105 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,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(f108,axiom,
! [X0,X1] : k2_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f480,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f6422,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f7885,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f19022,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(f19025,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(f19027,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_latsum_1) ).
fof(f19033,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( r2_hidden(X2,u1_struct_0(X0))
| r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_latsum_1) ).
fof(f19034,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( r2_hidden(X2,u1_struct_0(X0))
| r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19033]) ).
fof(f19053,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,[],[f19022]) ).
fof(f19054,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,[],[f19053]) ).
fof(f19058,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,[],[f19025]) ).
fof(f19059,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,[],[f19058]) ).
fof(f19062,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(ennf_transformation,[],[f19027]) ).
fof(f19063,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(flattening,[],[f19062]) ).
fof(f19072,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,u1_struct_0(X0))
& ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& ~ v3_struct_0(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f19034]) ).
fof(f19073,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,u1_struct_0(X0))
& ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& ~ v3_struct_0(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f19072]) ).
fof(f19283,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f19659,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7885]) ).
fof(f19666,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6422]) ).
fof(f19667,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f19666]) ).
fof(f20086,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,[],[f19059]) ).
fof(f20087,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,[],[f20086]) ).
fof(f20088,plain,
( ~ r2_hidden(sK4,u1_struct_0(sK2))
& ~ r2_hidden(sK4,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
& m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK2,sK3)))
& ~ v3_struct_0(sK3)
& l1_orders_2(sK3)
& ~ v3_struct_0(sK2)
& l1_orders_2(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f19073]) ).
fof(f20110,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,[],[f30]) ).
fof(f20111,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,[],[f20110]) ).
fof(f20112,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,[],[f20111]) ).
fof(f20113,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK17(X0,X1,X2),X0)
& ~ r2_hidden(sK17(X0,X1,X2),X1) )
| ~ r2_hidden(sK17(X0,X1,X2),X2) )
& ( r2_hidden(sK17(X0,X1,X2),X0)
| r2_hidden(sK17(X0,X1,X2),X1)
| r2_hidden(sK17(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,[sK17]),skolemize(X3,sK17(X0,X1,X2))],[f20112]) ).
fof(f20209,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f19283]) ).
fof(f20481,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f19054]) ).
fof(f20482,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f19054]) ).
fof(f20506,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,[],[f20087]) ).
fof(f20511,plain,
! [X0,X1] :
( ~ v3_struct_0(k1_latsum_1(X0,X1))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f19063]) ).
fof(f20519,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f20088]) ).
fof(f20520,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f20088]) ).
fof(f20521,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f20088]) ).
fof(f20523,plain,
m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK2,sK3))),
inference(cnf_transformation,[],[f20088]) ).
fof(f20524,plain,
~ r2_hidden(sK4,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))),
inference(cnf_transformation,[],[f20088]) ).
fof(f20525,plain,
~ r2_hidden(sK4,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f20088]) ).
fof(f20635,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f20113]) ).
fof(f20695,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f108]) ).
fof(f20961,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f20209]) ).
fof(f21543,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19659]) ).
fof(f21552,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f19667]) ).
fof(f22460,plain,
! [X0,X1] :
( ~ v1_orders_2(k1_latsum_1(X0,X1))
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f20506]) ).
fof(f22465,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f20635]) ).
fof(f22724,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f20482,f22460]) ).
fof(f22725,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1)) ),
inference(duplicate_literal_removal,[],[f22724]) ).
fof(f22726,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f22725,f20481]) ).
fof(f22728,plain,
! [X0] :
( ~ l1_orders_2(X0)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK3)) = u1_struct_0(k1_latsum_1(X0,sK3)) ),
inference(resolution,[],[f22726,f20521]) ).
fof(f22736,plain,
u1_struct_0(k1_latsum_1(sK2,sK3)) = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),
inference(resolution,[],[f22728,f20519]) ).
fof(f22824,plain,
( r2_hidden(sK4,u1_struct_0(k1_latsum_1(sK2,sK3)))
| v1_xboole_0(u1_struct_0(k1_latsum_1(sK2,sK3))) ),
inference(resolution,[],[f20961,f20523]) ).
fof(f22826,definition,
( spl296_13
<=> v1_xboole_0(u1_struct_0(k1_latsum_1(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl296_13])],[avatar_definition]) ).
fof(f22827,plain,
( v1_xboole_0(u1_struct_0(k1_latsum_1(sK2,sK3)))
| ~ spl296_13 ),
inference(avatar_component_clause,[],[f22826]) ).
fof(f22829,definition,
( spl296_14
<=> r2_hidden(sK4,u1_struct_0(k1_latsum_1(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl296_14])],[avatar_definition]) ).
fof(f22830,plain,
( r2_hidden(sK4,u1_struct_0(k1_latsum_1(sK2,sK3)))
| ~ spl296_14 ),
inference(avatar_component_clause,[],[f22829]) ).
fof(f22831,plain,
( spl296_13
| spl296_14 ),
inference(avatar_split_clause,[],[f22824,f22829,f22826]) ).
fof(f22832,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution,[],[f21552,f21543]) ).
fof(f22835,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| v3_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ v1_xboole_0(u1_struct_0(k1_latsum_1(X0,X1))) ),
inference(resolution,[],[f22832,f20481]) ).
fof(f23423,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k2_xboole_0(X0,X1))
| r2_hidden(X2,k4_xboole_0(X1,X0))
| r2_hidden(X2,X0) ),
inference(superposition,[],[f22465,f20695]) ).
fof(f23477,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(k1_latsum_1(sK2,sK3)))
| r2_hidden(X0,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| r2_hidden(X0,u1_struct_0(sK2)) ),
inference(superposition,[],[f23423,f22736]) ).
fof(f23763,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(k1_latsum_1(X0,sK3))
| ~ v1_xboole_0(u1_struct_0(k1_latsum_1(X0,sK3))) ),
inference(resolution,[],[f22835,f20521]) ).
fof(f23889,plain,
( v3_struct_0(k1_latsum_1(sK2,sK3))
| ~ v1_xboole_0(u1_struct_0(k1_latsum_1(sK2,sK3))) ),
inference(resolution,[],[f23763,f20519]) ).
fof(f23893,plain,
( v3_struct_0(k1_latsum_1(sK2,sK3))
| ~ spl296_13 ),
inference(forward_subsumption_resolution,[],[f23889,f22827]) ).
fof(f23896,plain,
( v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ spl296_13 ),
inference(resolution,[],[f23893,f20511]) ).
fof(f23901,plain,
( ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ spl296_13 ),
inference(forward_subsumption_resolution,[],[f23896,f20520]) ).
fof(f23903,plain,
( ~ l1_orders_2(sK3)
| ~ spl296_13 ),
inference(forward_subsumption_resolution,[],[f23901,f20519]) ).
fof(f23906,plain,
( $false
| ~ spl296_13 ),
inference(forward_subsumption_resolution,[],[f23903,f20521]) ).
fof(f23907,plain,
~ spl296_13,
inference(avatar_contradiction_clause,[],[f23906]) ).
fof(f23915,plain,
( r2_hidden(sK4,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| r2_hidden(sK4,u1_struct_0(sK2))
| ~ spl296_14 ),
inference(resolution,[],[f22830,f23477]) ).
fof(f23923,plain,
( r2_hidden(sK4,u1_struct_0(sK2))
| ~ spl296_14 ),
inference(forward_subsumption_resolution,[],[f23915,f20524]) ).
fof(f23932,plain,
( $false
| ~ spl296_14 ),
inference(forward_subsumption_resolution,[],[f23923,f20525]) ).
fof(f23933,plain,
~ spl296_14,
inference(avatar_contradiction_clause,[],[f23932]) ).
cnf(s11,plain,
( spl296_13
| spl296_14 ),
inference(sat_conversion,[],[f22831]) ).
cnf(s24,plain,
~ spl296_13,
inference(sat_conversion,[],[f23907]) ).
cnf(s29,plain,
~ spl296_14,
inference(sat_conversion,[],[f23933]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s11,s29,s24]) ).
fof(f23934,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU407+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n019.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 05:10:51 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 12.65/3.83 % (3674048)Detected formulas, will run a generic FOF schedule.
% 12.65/3.83 % (3674053)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=1330885145:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 12.65/3.83 % (3674057)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3374533883:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 12.65/3.83 % (3674058)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1853771065:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 12.65/3.83 % (3674056)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1838955992:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 12.65/3.83 % (3674059)dis-21_1_sil=8000:lcm=predicate:random_seed=3733645986:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 12.65/3.83 % (3674054)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=3452725677:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 12.65/3.83 % (3674055)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=3214251978:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 12.65/3.83 % (3674058)Instruction limit reached!
% 12.65/3.83 % (3674058)------------------------------
% 12.65/3.83 % (3674058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674058)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674058)Termination reason: Instruction limit
% 12.65/3.83 % (3674058)Termination phase: Property scanning
% 12.65/3.83 % (3674058)Time elapsed: 0.059 s
% 12.65/3.83 % (3674058)Peak memory usage: 112 MB
% 12.65/3.83 % (3674058)Instructions burned: 140 (million)
% 12.65/3.83 % (3674056)Instruction limit reached!
% 12.65/3.83 % (3674056)------------------------------
% 12.65/3.83 % (3674056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674056)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674056)Termination reason: Instruction limit
% 12.65/3.83 % (3674056)Termination phase: SInE selection
% 12.65/3.83 % (3674056)Time elapsed: 0.082 s
% 12.65/3.83 % (3674056)Peak memory usage: 112 MB
% 12.65/3.83 % (3674056)Instructions burned: 109 (million)
% 12.65/3.83 % (3674059)Instruction limit reached!
% 12.65/3.83 % (3674059)------------------------------
% 12.65/3.83 % (3674059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674059)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674059)Termination reason: Instruction limit
% 12.65/3.83 % (3674059)Termination phase: SInE selection
% 12.65/3.83 % (3674059)Time elapsed: 0.085 s
% 12.65/3.83 % (3674059)Peak memory usage: 112 MB
% 12.65/3.83 % (3674059)Instructions burned: 130 (million)
% 12.65/3.83 % (3674057)Instruction limit reached!
% 12.65/3.83 % (3674057)------------------------------
% 12.65/3.83 % (3674057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674057)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674057)Termination reason: Instruction limit
% 12.65/3.83 % (3674057)Termination phase: Preprocessing 2
% 12.65/3.83 % (3674057)Time elapsed: 0.101 s
% 12.65/3.83 % (3674057)Peak memory usage: 114 MB
% 12.65/3.83 % (3674057)Instructions burned: 119 (million)
% 12.65/3.83 % (3674067)lrs+10_1_sil=8000:sp=occurrence:random_seed=248437671:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 12.65/3.83 % (3674068)lrs+10_1_sil=32000:urr=on:br=off:random_seed=595722250:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 12.65/3.83 % (3674069)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3622284141:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 12.65/3.83 % (3674070)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=3240708347:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 12.65/3.83 % (3674068)Instruction limit reached!
% 12.65/3.83 % (3674068)------------------------------
% 12.65/3.83 % (3674068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674068)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674068)Termination reason: Instruction limit
% 12.65/3.83 % (3674068)Termination phase: Property scanning
% 12.65/3.83 % (3674068)Time elapsed: 0.068 s
% 12.65/3.83 % (3674068)Peak memory usage: 112 MB
% 12.65/3.83 % (3674068)Instructions burned: 158 (million)
% 12.65/3.83 % (3674070)Instruction limit reached!
% 12.65/3.83 % (3674070)------------------------------
% 12.65/3.83 % (3674070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674070)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674070)Termination reason: Instruction limit
% 12.65/3.83 % (3674070)Termination phase: Property scanning
% 12.65/3.83 % (3674070)Time elapsed: 0.108 s
% 12.65/3.83 % (3674070)Peak memory usage: 112 MB
% 12.65/3.83 % (3674070)Instructions burned: 250 (million)
% 12.65/3.83 % (3674067)Instruction limit reached!
% 12.65/3.83 % (3674067)------------------------------
% 12.65/3.83 % (3674067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674067)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674067)Termination reason: Instruction limit
% 12.65/3.83 % (3674067)Termination phase: Saturation
% 12.65/3.83 % (3674067)Time elapsed: 0.214 s
% 12.65/3.83 % (3674067)Peak memory usage: 119 MB
% 12.65/3.83 % (3674067)Instructions burned: 285 (million)
% 12.65/3.83 % (3674075)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3620182244:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 12.65/3.83 % (3674069)Instruction limit reached!
% 12.65/3.83 % (3674069)------------------------------
% 12.65/3.83 % (3674069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674069)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674069)Termination reason: Instruction limit
% 12.65/3.83 % (3674069)Termination phase: Saturation
% 12.65/3.83 % (3674069)Time elapsed: 0.248 s
% 12.65/3.83 % (3674069)Peak memory usage: 119 MB
% 12.65/3.83 % (3674069)Instructions burned: 326 (million)
% 12.65/3.83 % (3674076)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3261500406:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 12.65/3.83 % (3674077)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1240530805:cts=off:i=113:fsr=off:ss=included:sgt=4_2982 on theBenchmark for (2982ds/113Mi)
% 12.65/3.83 % (3674079)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2105994515:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 12.65/3.83 % (3674075)Instruction limit reached!
% 12.65/3.83 % (3674075)------------------------------
% 12.65/3.83 % (3674075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674075)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674075)Termination reason: Instruction limit
% 12.65/3.83 % (3674075)Termination phase: Property scanning
% 12.65/3.83 % (3674075)Time elapsed: 0.210 s
% 12.65/3.83 % (3674075)Peak memory usage: 118 MB
% 12.65/3.83 % (3674075)Instructions burned: 297 (million)
% 12.65/3.83 % (3674077)Instruction limit reached!
% 12.65/3.83 % (3674077)------------------------------
% 12.65/3.83 % (3674077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674077)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674077)Termination reason: Instruction limit
% 12.65/3.83 % (3674077)Termination phase: SInE selection
% 12.65/3.83 % (3674077)Time elapsed: 0.092 s
% 12.65/3.83 % (3674077)Peak memory usage: 112 MB
% 12.65/3.83 % (3674077)Instructions burned: 113 (million)
% 12.65/3.83 % (3674079)Instruction limit reached!
% 12.65/3.83 % (3674079)------------------------------
% 12.65/3.83 % (3674079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674079)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674079)Termination reason: Instruction limit
% 12.65/3.83 % (3674079)Termination phase: Preprocessing 1
% 12.65/3.83 % (3674079)Time elapsed: 0.091 s
% 12.65/3.83 % (3674079)Peak memory usage: 113 MB
% 12.65/3.83 % (3674079)Instructions burned: 128 (million)
% 12.65/3.83 % (3674083)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=647683102:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2980 on theBenchmark for (2980ds/114Mi)
% 12.65/3.83 % (3674084)lrs+10_1_sil=8000:sp=occurrence:random_seed=2792344933:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 12.65/3.83 % (3674083)Instruction limit reached!
% 12.65/3.83 % (3674083)------------------------------
% 12.65/3.83 % (3674083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674083)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674083)Termination reason: Instruction limit
% 12.65/3.83 % (3674083)Termination phase: Property scanning
% 12.65/3.83 % (3674083)Time elapsed: 0.051 s
% 12.65/3.83 % (3674083)Peak memory usage: 112 MB
% 12.65/3.83 % (3674083)Instructions burned: 114 (million)
% 12.65/3.83 % (3674085)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3517986973:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 12.65/3.83 % (3674089)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1813575762:i=5202:ss=axioms:sgt=16_2977 on theBenchmark for (2977ds/5202Mi)
% 12.65/3.83 % (3674085)Instruction limit reached!
% 12.65/3.83 % (3674085)------------------------------
% 12.65/3.83 % (3674085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674085)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674085)Termination reason: Instruction limit
% 12.65/3.83 % (3674085)Termination phase: Saturation
% 12.65/3.83 % (3674085)Time elapsed: 0.311 s
% 12.65/3.83 % (3674085)Peak memory usage: 119 MB
% 12.65/3.83 % (3674085)Instructions burned: 438 (million)
% 12.65/3.83 % (3674054)First to succeed.
% 12.65/3.83 % (3674054)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3674048"
% 12.65/3.83 % (3674091)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2297508055:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2974 on theBenchmark for (2974ds/134Mi)
% 12.65/3.83 % (3674084)Instruction limit reached!
% 12.65/3.83 % (3674084)------------------------------
% 12.65/3.83 % (3674084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674084)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674084)Termination reason: Instruction limit
% 12.65/3.83 % (3674084)Termination phase: Saturation
% 12.65/3.83 % (3674084)Time elapsed: 0.619 s
% 12.65/3.83 % (3674084)Peak memory usage: 129 MB
% 12.65/3.83 % (3674084)Instructions burned: 908 (million)
% 12.65/3.83 % (3674091)Instruction limit reached!
% 12.65/3.83 % (3674091)------------------------------
% 12.65/3.83 % (3674091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/3.83 % (3674091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/3.83 % (3674091)CaDiCaL version: 2.1.3
% 12.65/3.83 % (3674091)Termination reason: Instruction limit
% 12.65/3.83 % (3674091)Termination phase: Property scanning
% 12.65/3.83 % (3674091)Time elapsed: 0.117 s
% 12.65/3.83 % (3674091)Peak memory usage: 115 MB
% 12.65/3.83 % (3674091)Instructions burned: 135 (million)
% 12.65/3.83 % (3674054)Refutation found. Thanks to Tanya!
% 12.65/3.83 % SZS status Theorem for theBenchmark
% 12.65/3.83 % SZS output start Proof for theBenchmark
% See solution above
% 14.59/4.03 % (3674054)------------------------------
% 14.59/4.03 % (3674054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.59/4.03 % (3674054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.59/4.03 % (3674054)CaDiCaL version: 2.1.3
% 14.59/4.03 % (3674054)Termination reason: Refutation
% 14.59/4.03 % (3674054)Time elapsed: 1.383 s
% 14.59/4.03 % (3674054)Peak memory usage: 185 MB
% 14.59/4.03 % (3674054)Instructions burned: 2109 (million)
% 14.59/4.03 % (3674054)------------------------------
% 14.59/4.03 % (3674054)------------------------------
% 14.59/4.03 % (3674048)Success in time 2.982 s
% 14.59/4.03 % Vampire exiting
%------------------------------------------------------------------------------