%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU411+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:53:10 PM UTC 2026
% Result : Theorem 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 66 ( 15 unt; 0 def)
% Number of atoms : 390 ( 10 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 493 ( 169 ~; 155 |; 142 &)
% ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 123 ( 111 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(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_yellow_0(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1))) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(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_yellow_0(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1))) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v12_waybel_0(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r1_orders_2(X0,X3,X2) )
=> r2_hidden(X3,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d19_waybel_0) ).
fof(f7,axiom,
! [X0,X1,X2] :
( X2 = k3_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f11,axiom,
! [X0] :
( l1_orders_2(X0)
=> m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
fof(f18,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f33,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f35,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_orders_2(X0,k3_yellow_0(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f45,plain,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(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_yellow_0(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1))) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f46,plain,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1))) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
inference(pure_predicate_removal,[],[f45]) ).
fof(f47,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k3_yellow_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f48,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k3_yellow_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f47]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ( v12_waybel_0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( v12_waybel_0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0] :
( m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f67,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f68,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f67]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( r1_orders_2(X0,k3_yellow_0(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( r1_orders_2(X0,k3_yellow_0(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f36]) ).
fof(f73,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f72]) ).
fof(f78,plain,
( ~ r2_hidden(k3_yellow_0(sK1),u1_struct_0(sK0))
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v3_struct_0(sK1)
& v2_orders_2(sK1)
& v3_orders_2(sK1)
& v4_orders_2(sK1)
& v1_yellow_0(sK1)
& l1_orders_2(sK1)
& ~ v3_struct_0(sK0)
& v2_orders_2(sK0)
& v3_orders_2(sK0)
& v4_orders_2(sK0)
& v1_yellow_0(sK0)
& l1_orders_2(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f48]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( ( v12_waybel_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& r1_orders_2(X0,X3,X2)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v12_waybel_0(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f51]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( ( v12_waybel_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& r1_orders_2(X0,X3,X2)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r1_orders_2(X0,X5,X4)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v12_waybel_0(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( ( v12_waybel_0(X1,X0)
| ( ~ r2_hidden(sK3(X0,X1),X1)
& r2_hidden(sK2(X0,X1),X1)
& r1_orders_2(X0,sK3(X0,X1),sK2(X0,X1))
& m1_subset_1(sK3(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK2(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r1_orders_2(X0,X5,X4)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v12_waybel_0(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f80]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( X2 = k3_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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( X2 = k3_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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( X2 = k3_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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f86]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK5(X0,X1,X2),X0)
| ~ r2_hidden(sK5(X0,X1,X2),X1)
| ~ r2_hidden(sK5(X0,X1,X2),X2) )
& ( ( r2_hidden(sK5(X0,X1,X2),X0)
& r2_hidden(sK5(X0,X1,X2),X1) )
| r2_hidden(sK5(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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f87]) ).
fof(f91,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f18]) ).
fof(f104,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f105,plain,
v1_yellow_0(sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f106,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f109,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f110,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f78]) ).
fof(f111,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f112,plain,
~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))),
inference(cnf_transformation,[],[f78]) ).
fof(f113,plain,
~ r2_hidden(k3_yellow_0(sK1),u1_struct_0(sK0)),
inference(cnf_transformation,[],[f78]) ).
fof(f116,plain,
! [X0,X1,X4,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r1_orders_2(X0,X5,X4)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f125,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f130,plain,
! [X0] :
( m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f134,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(cnf_transformation,[],[f91]) ).
fof(f154,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f156,plain,
! [X0,X1] :
( r1_orders_2(X0,k3_yellow_0(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f164,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k3_xboole_0(X0,X1))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f125]) ).
fof(f191,plain,
! [X0] :
( r2_hidden(sK8(X0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f154,f134]) ).
fof(f238,plain,
! [X0] :
( ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(resolution,[],[f157,f110]) ).
fof(f243,plain,
( m1_subset_1(sK8(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))),u1_struct_0(sK1))
| v1_xboole_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))) ),
inference(resolution,[],[f238,f191]) ).
fof(f244,plain,
m1_subset_1(sK8(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))),u1_struct_0(sK1)),
inference(forward_subsumption_resolution,[],[f243,f112]) ).
fof(f545,plain,
! [X0,X1,X4,X5] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X4,X1)
| ~ r1_orders_2(X0,X5,X4)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ v12_waybel_0(X1,X0)
| r2_hidden(X5,X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f116,f157]) ).
fof(f550,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ r1_orders_2(sK1,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
| r2_hidden(X1,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ l1_orders_2(sK1) ),
inference(resolution,[],[f545,f110]) ).
fof(f558,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ r1_orders_2(sK1,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| r2_hidden(X1,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f550,f111]) ).
fof(f559,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ r1_orders_2(sK1,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| r2_hidden(X1,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f558,f104]) ).
fof(f571,plain,
! [X0] :
( ~ r1_orders_2(sK1,X0,sK8(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r2_hidden(X0,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| v1_xboole_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))) ),
inference(resolution,[],[f559,f191]) ).
fof(f572,plain,
! [X0] :
( ~ r1_orders_2(sK1,X0,sK8(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r2_hidden(X0,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f571,f112]) ).
fof(f918,plain,
( ~ m1_subset_1(k3_yellow_0(sK1),u1_struct_0(sK1))
| r2_hidden(k3_yellow_0(sK1),k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ m1_subset_1(sK8(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_yellow_0(sK1)
| ~ l1_orders_2(sK1) ),
inference(resolution,[],[f572,f156]) ).
fof(f919,plain,
( r2_hidden(k3_yellow_0(sK1),k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ m1_subset_1(sK8(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_yellow_0(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f918,f130]) ).
fof(f921,plain,
( r2_hidden(k3_yellow_0(sK1),k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_yellow_0(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f919,f244]) ).
fof(f922,plain,
( r2_hidden(k3_yellow_0(sK1),k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ v4_orders_2(sK1)
| ~ v1_yellow_0(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f921,f109]) ).
fof(f923,plain,
( r2_hidden(k3_yellow_0(sK1),k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ v1_yellow_0(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f922,f106]) ).
fof(f924,plain,
( r2_hidden(k3_yellow_0(sK1),k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f923,f105]) ).
fof(f925,plain,
r2_hidden(k3_yellow_0(sK1),k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))),
inference(forward_subsumption_resolution,[],[f924,f104]) ).
fof(f952,plain,
r2_hidden(k3_yellow_0(sK1),u1_struct_0(sK0)),
inference(resolution,[],[f925,f164]) ).
fof(f956,plain,
$false,
inference(forward_subsumption_resolution,[],[f952,f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU411+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 % Computer : n003.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Mon Sep 28 05:15:12 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.47 Running first-order model finding
% 0.13/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.55 % (1226856)Will run a generic schedule for satisfiability detection.
% 0.22/0.55 % (1226861)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2395572404_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.55 % (1226862)% WARNING: option uhcvi not known.
% 0.22/0.55 % TRYING [1]
% 0.22/0.55 % TRYING [2]
% 0.22/0.55 % TRYING [3]
% 0.22/0.55 % (1226862)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=986032242:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.55 % (1226865)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=623956928:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.55 % (1226864)dis+10_1_sil=32000:sp=arity:random_seed=4132479700:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.55 % (1226866)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3489641245:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.55 % (1226867)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2155606492:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.55 % (1226863)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2940804114:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.55 % TRYING [4]
% 0.22/0.55 % TRYING [5]
% 0.22/0.55 % (1226864) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1226856-1226864"...
% 0.22/0.55 % (1226864)...printing done.
% 0.22/0.55 % (1226864)Refutation found. Thanks to Tanya!
% 0.22/0.55 % SZS status Theorem for theBenchmark
% 0.22/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.55 % (1226864)------------------------------
% 0.22/0.55 % (1226864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.55 % (1226864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.55 % (1226864)CaDiCaL version: 2.1.3
% 0.22/0.55 % (1226864)Termination reason: Refutation
% 0.22/0.56 % (1226864)Time elapsed: 0.036 s
% 0.22/0.56 % (1226864)Peak memory usage: 12 MB
% 0.22/0.56 % (1226864)Instructions burned: 34 (million)
% 0.22/0.56 % (1226856)Success in time 0.073 s
% 0.22/0.56 % Vampire exiting
%------------------------------------------------------------------------------