%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU407+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 22.48s 8.49s
% Output : Refutation 23.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 90 ( 18 unt; 2 def)
% Number of atoms : 389 ( 55 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 492 ( 193 ~; 185 |; 86 &)
% ( 13 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-6 aty)
% Number of variables : 143 ( 0 sgn 131 !; 12 ?)
% 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(f32,axiom,
! [X0,X1,X2] :
( X2 = k4_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(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(f17596,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(f19627,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f66032,axiom,
! [X0,X1] :
( ( l1_orders_2(X0)
& l1_orders_2(X1) )
=> ( v1_orders_2(k1_latsum_1(X0,X1))
& l1_orders_2(k1_latsum_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
fof(f66035,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( ( v1_orders_2(X2)
& l1_orders_2(X2) )
=> ( X2 = k1_latsum_1(X0,X1)
<=> ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_latsum_1) ).
fof(f66036,axiom,
! [X0,X1] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X1)
& 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',fc1_latsum_1) ).
fof(f66043,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(f66044,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)],[f66043]) ).
fof(f66122,plain,
! [X0,X1] :
( ( v1_orders_2(k1_latsum_1(X0,X1))
& l1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(ennf_transformation,[],[f66032]) ).
fof(f66123,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,[],[f66122]) ).
fof(f66127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_latsum_1(X0,X1)
<=> ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f66035]) ).
fof(f66128,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,[],[f66127]) ).
fof(f66129,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(ennf_transformation,[],[f66036]) ).
fof(f66130,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(flattening,[],[f66129]) ).
fof(f66141,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,[],[f66044]) ).
fof(f66142,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,[],[f66141]) ).
fof(f66160,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(f67347,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f19627]) ).
fof(f67355,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f17596]) ).
fof(f67356,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f67355]) ).
fof(f70901,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,[],[f66128]) ).
fof(f70902,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,[],[f70901]) ).
fof(f70903,plain,
( ~ r2_hidden(sK11,u1_struct_0(sK9))
& ~ r2_hidden(sK11,k4_xboole_0(u1_struct_0(sK10),u1_struct_0(sK9)))
& m1_subset_1(sK11,u1_struct_0(k1_latsum_1(sK9,sK10)))
& ~ v3_struct_0(sK10)
& l1_orders_2(sK10)
& ~ v3_struct_0(sK9)
& l1_orders_2(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11)],[f66142]) ).
fof(f70922,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,[],[f66160]) ).
fof(f70936,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(f70937,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,[],[f70936]) ).
fof(f70938,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,[],[f70937]) ).
fof(f70939,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK29(X0,X1,X2),X0)
& ~ r2_hidden(sK29(X0,X1,X2),X1) )
| ~ r2_hidden(sK29(X0,X1,X2),X2) )
& ( r2_hidden(sK29(X0,X1,X2),X0)
| r2_hidden(sK29(X0,X1,X2),X1)
| r2_hidden(sK29(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,[sK29]),skolemize(X3,sK29(X0,X1,X2))],[f70938]) ).
fof(f70967,plain,
! [X0,X1,X2] :
( ( X2 = k4_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) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f70968,plain,
! [X0,X1,X2] :
( ( X2 = k4_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) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f70967]) ).
fof(f70969,plain,
! [X0,X1,X2] :
( ( X2 = k4_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) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f70968]) ).
fof(f70970,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK38(X0,X1,X2),X0)
| r2_hidden(sK38(X0,X1,X2),X1)
| ~ r2_hidden(sK38(X0,X1,X2),X2) )
& ( ( r2_hidden(sK38(X0,X1,X2),X0)
& ~ r2_hidden(sK38(X0,X1,X2),X1) )
| r2_hidden(sK38(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) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(X3,sK38(X0,X1,X2))],[f70969]) ).
fof(f72260,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f66123]) ).
fof(f72261,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f66123]) ).
fof(f72285,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,[],[f70902]) ).
fof(f72288,plain,
! [X0,X1] :
( ~ v3_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f66130]) ).
fof(f72298,plain,
l1_orders_2(sK9),
inference(cnf_transformation,[],[f70903]) ).
fof(f72299,plain,
~ v3_struct_0(sK9),
inference(cnf_transformation,[],[f70903]) ).
fof(f72300,plain,
l1_orders_2(sK10),
inference(cnf_transformation,[],[f70903]) ).
fof(f72302,plain,
m1_subset_1(sK11,u1_struct_0(k1_latsum_1(sK9,sK10))),
inference(cnf_transformation,[],[f70903]) ).
fof(f72303,plain,
~ r2_hidden(sK11,k4_xboole_0(u1_struct_0(sK10),u1_struct_0(sK9))),
inference(cnf_transformation,[],[f70903]) ).
fof(f72304,plain,
~ r2_hidden(sK11,u1_struct_0(sK9)),
inference(cnf_transformation,[],[f70903]) ).
fof(f72366,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f70922]) ).
fof(f72445,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f72446,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,[],[f70939]) ).
fof(f72580,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f70970]) ).
fof(f74344,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f67347]) ).
fof(f74354,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f67356]) ).
fof(f80307,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,[],[f72285]) ).
fof(f80317,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f72446]) ).
fof(f80326,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X0)
| r2_hidden(X4,k4_xboole_0(X0,X1))
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f72580]) ).
fof(f81865,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,[],[f72261,f80307]) ).
fof(f81866,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,[],[f81865]) ).
fof(f81867,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,[],[f81866,f72260]) ).
fof(f81868,plain,
! [X0] :
( ~ l1_orders_2(X0)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK9)) = u1_struct_0(k1_latsum_1(X0,sK9)) ),
inference(resolution,[],[f81867,f72298]) ).
fof(f81869,plain,
! [X0] :
( ~ l1_orders_2(X0)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK10)) = u1_struct_0(k1_latsum_1(X0,sK10)) ),
inference(resolution,[],[f81867,f72300]) ).
fof(f81872,plain,
k2_xboole_0(u1_struct_0(sK10),u1_struct_0(sK9)) = u1_struct_0(k1_latsum_1(sK10,sK9)),
inference(resolution,[],[f81868,f72300]) ).
fof(f81875,plain,
u1_struct_0(k1_latsum_1(sK10,sK9)) = k2_xboole_0(u1_struct_0(sK9),u1_struct_0(sK10)),
inference(forward_demodulation,[],[f81872,f72445]) ).
fof(f81885,plain,
u1_struct_0(k1_latsum_1(sK9,sK10)) = k2_xboole_0(u1_struct_0(sK9),u1_struct_0(sK10)),
inference(resolution,[],[f81869,f72298]) ).
fof(f81910,plain,
u1_struct_0(k1_latsum_1(sK9,sK10)) = u1_struct_0(k1_latsum_1(sK10,sK9)),
inference(superposition,[],[f81885,f81875]) ).
fof(f81917,plain,
( r2_hidden(sK11,u1_struct_0(k1_latsum_1(sK9,sK10)))
| v1_xboole_0(u1_struct_0(k1_latsum_1(sK9,sK10))) ),
inference(resolution,[],[f72366,f72302]) ).
fof(f81919,definition,
( spl968_37
<=> v1_xboole_0(u1_struct_0(k1_latsum_1(sK9,sK10))) ),
introduced(definition,[new_symbols(definition,[spl968_37])],[avatar_definition]) ).
fof(f81920,plain,
( v1_xboole_0(u1_struct_0(k1_latsum_1(sK9,sK10)))
| ~ spl968_37 ),
inference(avatar_component_clause,[],[f81919]) ).
fof(f81922,definition,
( spl968_38
<=> r2_hidden(sK11,u1_struct_0(k1_latsum_1(sK9,sK10))) ),
introduced(definition,[new_symbols(definition,[spl968_38])],[avatar_definition]) ).
fof(f81923,plain,
( r2_hidden(sK11,u1_struct_0(k1_latsum_1(sK9,sK10)))
| ~ spl968_38 ),
inference(avatar_component_clause,[],[f81922]) ).
fof(f81924,plain,
( spl968_37
| spl968_38 ),
inference(avatar_split_clause,[],[f81917,f81922,f81919]) ).
fof(f81928,plain,
! [X0,X1] :
( l1_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(resolution,[],[f74344,f72260]) ).
fof(f81933,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(k1_latsum_1(X0,X1))
| ~ v1_xboole_0(u1_struct_0(k1_latsum_1(X0,X1))) ),
inference(resolution,[],[f81928,f74354]) ).
fof(f81934,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(k1_latsum_1(X0,sK9)))
| v3_struct_0(k1_latsum_1(X0,sK9))
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f81933,f72298]) ).
fof(f81937,plain,
( ~ v1_xboole_0(u1_struct_0(k1_latsum_1(sK9,sK10)))
| v3_struct_0(k1_latsum_1(sK10,sK9))
| ~ l1_orders_2(sK10) ),
inference(superposition,[],[f81934,f81910]) ).
fof(f81939,plain,
( v3_struct_0(k1_latsum_1(sK10,sK9))
| ~ l1_orders_2(sK10)
| ~ spl968_37 ),
inference(forward_subsumption_resolution,[],[f81937,f81920]) ).
fof(f81940,plain,
( v3_struct_0(k1_latsum_1(sK10,sK9))
| ~ spl968_37 ),
inference(forward_subsumption_resolution,[],[f81939,f72300]) ).
fof(f81943,plain,
( ~ l1_orders_2(sK10)
| v3_struct_0(sK9)
| ~ l1_orders_2(sK9)
| ~ spl968_37 ),
inference(resolution,[],[f81940,f72288]) ).
fof(f81948,plain,
( v3_struct_0(sK9)
| ~ l1_orders_2(sK9)
| ~ spl968_37 ),
inference(forward_subsumption_resolution,[],[f81943,f72300]) ).
fof(f81950,plain,
( ~ l1_orders_2(sK9)
| ~ spl968_37 ),
inference(forward_subsumption_resolution,[],[f81948,f72299]) ).
fof(f81953,plain,
( $false
| ~ spl968_37 ),
inference(forward_subsumption_resolution,[],[f81950,f72298]) ).
fof(f81954,plain,
~ spl968_37,
inference(avatar_contradiction_clause,[],[f81953]) ).
fof(f82001,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(k1_latsum_1(sK9,sK10)))
| r2_hidden(X0,u1_struct_0(sK10))
| r2_hidden(X0,u1_struct_0(sK9)) ),
inference(superposition,[],[f80317,f81885]) ).
fof(f82007,plain,
( r2_hidden(sK11,u1_struct_0(sK10))
| r2_hidden(sK11,u1_struct_0(sK9))
| ~ spl968_38 ),
inference(resolution,[],[f82001,f81923]) ).
fof(f82008,plain,
( r2_hidden(sK11,u1_struct_0(sK10))
| ~ spl968_38 ),
inference(forward_subsumption_resolution,[],[f82007,f72304]) ).
fof(f82009,plain,
( $false
| ~ spl968_38 ),
inference(unit_resulting_resolution,[],[f80326,f72304,f72303,f82008]) ).
fof(f82012,plain,
~ spl968_38,
inference(avatar_contradiction_clause,[],[f82009]) ).
cnf(s33,plain,
( spl968_37
| spl968_38 ),
inference(sat_conversion,[],[f81924]) ).
cnf(s37,plain,
~ spl968_37,
inference(sat_conversion,[],[f81954]) ).
cnf(s39,plain,
~ spl968_38,
inference(sat_conversion,[],[f82012]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s33,s39,s37]) ).
fof(f82013,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU407+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n018.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 05:13:08 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.18/8.26 % (3010583)Detected formulas, will run a generic FOF schedule.
% 21.18/8.26 % (3010589)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=2392103693:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2948 on theBenchmark for (2948ds/134677Mi)
% 21.18/8.26 % (3010590)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=3635214233:i=141695:sd=1:nm=32:gsp=on:ss=included_2948 on theBenchmark for (2948ds/141695Mi)
% 21.18/8.26 % (3010588)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=3525978483:i=141193_2948 on theBenchmark for (2948ds/141193Mi)
% 21.18/8.26 % (3010592)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=44308831:i=119:av=off:ss=axioms_2948 on theBenchmark for (2948ds/119Mi)
% 21.18/8.26 % (3010591)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3344763542:i=109:sd=1:ins=1:gsp=on:ss=axioms_2948 on theBenchmark for (2948ds/109Mi)
% 21.18/8.26 % (3010594)dis-21_1_sil=8000:lcm=predicate:random_seed=4078145548:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2948 on theBenchmark for (2948ds/129Mi)
% 21.18/8.26 % (3010593)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=524742825:s2a=on:i=139:gtg=position_2948 on theBenchmark for (2948ds/139Mi)
% 21.18/8.26 % (3010592)Instruction limit reached!
% 21.18/8.26 % (3010592)------------------------------
% 21.18/8.26 % (3010592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/8.26 % (3010592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/8.26 % (3010592)CaDiCaL version: 2.1.3
% 21.18/8.26 % (3010592)Termination reason: Instruction limit
% 21.18/8.26 % (3010592)Termination phase: SInE selection
% 21.18/8.26 % (3010592)Time elapsed: 0.090 s
% 21.18/8.26 % (3010592)Peak memory usage: 193 MB
% 21.18/8.26 % (3010592)Instructions burned: 120 (million)
% 21.18/8.26 % (3010593)Instruction limit reached!
% 21.18/8.26 % (3010593)------------------------------
% 21.18/8.26 % (3010593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/8.26 % (3010593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/8.26 % (3010593)CaDiCaL version: 2.1.3
% 21.18/8.26 % (3010593)Termination reason: Instruction limit
% 21.18/8.26 % (3010593)Termination phase: Property scanning
% 21.18/8.26 % (3010593)Time elapsed: 0.069 s
% 21.18/8.26 % (3010593)Peak memory usage: 193 MB
% 21.18/8.26 % (3010593)Instructions burned: 141 (million)
% 21.18/8.26 % (3010591)Instruction limit reached!
% 21.18/8.26 % (3010591)------------------------------
% 21.18/8.26 % (3010591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/8.26 % (3010591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/8.26 % (3010591)CaDiCaL version: 2.1.3
% 21.18/8.26 % (3010591)Termination reason: Instruction limit
% 21.18/8.26 % (3010591)Termination phase: SInE selection
% 21.18/8.26 % (3010591)Time elapsed: 0.087 s
% 21.18/8.26 % (3010591)Peak memory usage: 193 MB
% 21.18/8.26 % (3010591)Instructions burned: 109 (million)
% 21.18/8.26 % (3010594)Instruction limit reached!
% 21.18/8.26 % (3010594)------------------------------
% 21.18/8.26 % (3010594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/8.26 % (3010594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/8.26 % (3010594)CaDiCaL version: 2.1.3
% 21.18/8.26 % (3010594)Termination reason: Instruction limit
% 21.18/8.26 % (3010594)Termination phase: SInE selection
% 21.18/8.26 % (3010594)Time elapsed: 0.099 s
% 21.18/8.26 % (3010594)Peak memory usage: 193 MB
% 21.18/8.26 % (3010594)Instructions burned: 130 (million)
% 21.18/8.26 % (3010602)lrs+10_1_sil=8000:sp=occurrence:random_seed=1313767226:i=285:sd=3:ss=axioms:sgt=8_2946 on theBenchmark for (2946ds/285Mi)
% 21.18/8.26 % (3010604)lrs+1011_1_sil=32000:sp=occurrence:random_seed=257141056:i=325:sd=1:ss=axioms:sgt=32_2946 on theBenchmark for (2946ds/325Mi)
% 21.18/8.26 % (3010603)lrs+10_1_sil=32000:urr=on:br=off:random_seed=21191421:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2946 on theBenchmark for (2946ds/157Mi)
% 21.18/8.26 % (3010605)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=3619538936:s2a=on:i=248:s2at=1.23:gtg=position_2945 on theBenchmark for (2945ds/248Mi)
% 21.18/8.26 % (3010603)Instruction limit reached!
% 22.48/8.49 % (3010603)------------------------------
% 22.48/8.49 % (3010603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.48/8.49 % (3010603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/8.49 % (3010603)CaDiCaL version: 2.1.3
% 22.48/8.49 % (3010603)Termination reason: Instruction limit
% 22.48/8.49 % (3010603)Termination phase: Property scanning
% 22.48/8.49 % (3010603)Time elapsed: 0.077 s
% 22.48/8.49 % (3010603)Peak memory usage: 193 MB
% 22.48/8.49 % (3010603)Instructions burned: 159 (million)
% 22.48/8.49 % (3010605)Instruction limit reached!
% 22.48/8.49 % (3010605)------------------------------
% 22.48/8.49 % (3010605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.48/8.49 % (3010605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/8.49 % (3010605)CaDiCaL version: 2.1.3
% 22.48/8.49 % (3010605)Termination reason: Instruction limit
% 22.48/8.49 % (3010605)Termination phase: Property scanning
% 22.48/8.49 % (3010605)Time elapsed: 0.113 s
% 22.48/8.49 % (3010605)Peak memory usage: 193 MB
% 22.48/8.49 % (3010605)Instructions burned: 250 (million)
% 22.48/8.49 % (3010602)Instruction limit reached!
% 22.48/8.49 % (3010602)------------------------------
% 22.48/8.49 % (3010602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.48/8.49 % (3010602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/8.49 % (3010602)CaDiCaL version: 2.1.3
% 22.48/8.49 % (3010602)Termination reason: Instruction limit
% 22.48/8.49 % (3010602)Termination phase: SInE selection
% 22.48/8.49 % (3010602)Time elapsed: 0.213 s
% 22.48/8.49 % (3010602)Peak memory usage: 193 MB
% 22.48/8.49 % (3010602)Instructions burned: 285 (million)
% 22.48/8.49 % (3010604)Instruction limit reached!
% 22.48/8.49 % (3010604)------------------------------
% 22.48/8.49 % (3010604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.48/8.49 % (3010604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/8.49 % (3010604)CaDiCaL version: 2.1.3
% 22.48/8.49 % (3010604)Termination reason: Instruction limit
% 22.48/8.49 % (3010604)Termination phase: SInE selection
% 22.48/8.49 % (3010604)Time elapsed: 0.252 s
% 22.48/8.49 % (3010604)Peak memory usage: 193 MB
% 22.48/8.49 % (3010604)Instructions burned: 326 (million)
% 22.48/8.49 % (3010610)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=590676905:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2943 on theBenchmark for (2943ds/294Mi)
% 22.48/8.49 % (3010611)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2967655499:i=2350_2942 on theBenchmark for (2942ds/2350Mi)
% 22.48/8.49 % (3010612)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1159326809:cts=off:i=113:fsr=off:ss=included:sgt=4_2942 on theBenchmark for (2942ds/113Mi)
% 22.48/8.49 % (3010614)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2623399545:i=127:av=off:fsr=off:sup=off_2941 on theBenchmark for (2941ds/127Mi)
% 22.48/8.49 % (3010612)Instruction limit reached!
% 22.48/8.49 % (3010612)------------------------------
% 22.48/8.49 % (3010612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.48/8.49 % (3010612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/8.49 % (3010612)CaDiCaL version: 2.1.3
% 22.48/8.49 % (3010612)Termination reason: Instruction limit
% 22.48/8.49 % (3010612)Termination phase: SInE selection
% 22.48/8.49 % (3010612)Time elapsed: 0.091 s
% 22.48/8.49 % (3010612)Peak memory usage: 193 MB
% 22.48/8.49 % (3010612)Instructions burned: 114 (million)
% 22.48/8.49 % (3010610)Instruction limit reached!
% 22.48/8.49 % (3010610)------------------------------
% 22.48/8.49 % (3010610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.48/8.49 % (3010610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/8.49 % (3010610)CaDiCaL version: 2.1.3
% 22.48/8.49 % (3010610)Termination reason: Instruction limit
% 22.48/8.49 % (3010610)Termination phase: SInE selection
% 22.48/8.49 % (3010610)Time elapsed: 0.225 s
% 22.48/8.49 % (3010610)Peak memory usage: 193 MB
% 22.48/8.49 % (3010610)Instructions burned: 294 (million)
% 22.48/8.49 % (3010614)Instruction limit reached!
% 22.48/8.49 % (3010614)------------------------------
% 22.48/8.49 % (3010614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.48/8.49 % (3010614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/8.49 % (3010614)CaDiCaL version: 2.1.3
% 22.48/8.49 % (3010614)Termination reason: Instruction limit
% 22.48/8.49 % (3010614)Termination phase: Preprocessing 1
% 22.48/8.49 % (3010614)Time elapsed: 0.103 s
% 22.48/8.49 % (3010614)Peak memory usage: 194 MB
% 22.48/8.49 % (3010614)Instructions burned: 128 (million)
% 22.48/8.49 % (3010618)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1575210433:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2939 on theBenchmark for (2939ds/114Mi)
% 22.48/8.49 % (3010619)lrs+10_1_sil=8000:sp=occurrence:random_seed=1211330216:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2939 on theBenchmark for (2939ds/907Mi)
% 22.48/8.49 % (3010618)Instruction limit reached!
% 22.48/8.49 % (3010618)------------------------------
% 22.48/8.49 % (3010618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.48/8.49 % (3010618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/8.49 % (3010618)CaDiCaL version: 2.1.3
% 22.48/8.49 % (3010618)Termination reason: Instruction limit
% 22.48/8.49 % (3010618)Termination phase: Property scanning
% 22.48/8.49 % (3010618)Time elapsed: 0.058 s
% 22.48/8.49 % (3010618)Peak memory usage: 193 MB
% 22.48/8.49 % (3010618)Instructions burned: 115 (million)
% 22.48/8.49 % (3010620)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3552008380:i=437:sd=1:aac=none:ss=included_2939 on theBenchmark for (2939ds/437Mi)
% 22.48/8.49 % (3010624)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1468942545:i=5202:ss=axioms:sgt=16_2937 on theBenchmark for (2937ds/5202Mi)
% 22.48/8.49 % (3010620)Instruction limit reached!
% 22.48/8.49 % (3010620)------------------------------
% 22.48/8.49 % (3010620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.48/8.49 % (3010620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/8.49 % (3010620)CaDiCaL version: 2.1.3
% 22.48/8.49 % (3010620)Termination reason: Instruction limit
% 22.48/8.49 % (3010620)Termination phase: SInE selection
% 22.48/8.49 % (3010620)Time elapsed: 0.315 s
% 22.48/8.49 % (3010620)Peak memory usage: 194 MB
% 22.48/8.49 % (3010620)Instructions burned: 438 (million)
% 22.48/8.49 % (3010626)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4153863942:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2934 on theBenchmark for (2934ds/134Mi)
% 22.48/8.49 % (3010626)Instruction limit reached!
% 22.48/8.49 % (3010626)------------------------------
% 22.48/8.49 % (3010626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.48/8.49 % (3010626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/8.49 % (3010626)CaDiCaL version: 2.1.3
% 22.48/8.49 % (3010626)Termination reason: Instruction limit
% 22.48/8.49 % (3010626)Termination phase: SInE selection
% 22.48/8.49 % (3010626)Time elapsed: 0.104 s
% 22.48/8.49 % (3010626)Peak memory usage: 193 MB
% 22.48/8.49 % (3010626)Instructions burned: 135 (million)
% 22.48/8.49 % (3010619)Instruction limit reached!
% 22.48/8.49 % (3010619)------------------------------
% 22.48/8.49 % (3010619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.48/8.49 % (3010619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/8.49 % (3010619)CaDiCaL version: 2.1.3
% 22.48/8.49 % (3010619)Termination reason: Instruction limit
% 22.48/8.49 % (3010619)Termination phase: Unused predicate definition removal
% 22.48/8.49 % (3010619)Time elapsed: 0.686 s
% 22.48/8.49 % (3010619)Peak memory usage: 199 MB
% 22.48/8.49 % (3010619)Instructions burned: 907 (million)
% 22.48/8.49 % (3010628)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2297628339:st=8:i=592:sd=3:ep=RST:ss=axioms_2931 on theBenchmark for (2931ds/592Mi)
% 22.48/8.49 % (3010629)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3904001075:st=3:i=13193:sd=3:ss=axioms_2930 on theBenchmark for (2930ds/13193Mi)
% 22.48/8.49 % (3010628)Instruction limit reached!
% 22.48/8.49 % (3010628)------------------------------
% 22.48/8.49 % (3010628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.48/8.49 % (3010628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/8.49 % (3010628)CaDiCaL version: 2.1.3
% 22.48/8.49 % (3010628)Termination reason: Instruction limit
% 22.48/8.49 % (3010628)Termination phase: SInE selection
% 22.48/8.49 % (3010628)Time elapsed: 0.368 s
% 22.48/8.49 % (3010628)Peak memory usage: 195 MB
% 22.48/8.49 % (3010628)Instructions burned: 592 (million)
% 22.48/8.49 % (3010589)First to succeed.
% 22.48/8.49 % (3010589)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3010583"
% 22.48/8.49 % (3010632)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=1225095367:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2926 on theBenchmark for (2926ds/125Mi)
% 22.48/8.49 % (3010589)Refutation found. Thanks to Tanya!
% 22.48/8.49 % SZS status Theorem for theBenchmark
% 22.48/8.49 % SZS output start Proof for theBenchmark
% See solution above
% 23.33/8.74 % (3010589)------------------------------
% 23.33/8.74 % (3010589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.33/8.74 % (3010589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.74 % (3010589)CaDiCaL version: 2.1.3
% 23.33/8.74 % (3010589)Termination reason: Refutation
% 23.33/8.74 % (3010589)Time elapsed: 2.135 s
% 23.33/8.74 % (3010589)Peak memory usage: 307 MB
% 23.33/8.74 % (3010589)Instructions burned: 5749 (million)
% 23.33/8.74 % (3010589)------------------------------
% 23.33/8.74 % (3010589)------------------------------
% 23.33/8.74 % (3010583)Success in time 7.612 s
% 23.33/8.74 % Vampire exiting
%------------------------------------------------------------------------------