%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU411+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 12:48:48 PM UTC 2026
% Result : Theorem 1.79s 1.52s
% Output : Refutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 104 ( 22 unt; 4 def)
% Number of atoms : 476 ( 19 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 599 ( 227 ~; 208 |; 137 &)
% ( 10 <=>; 16 =>; 0 <=; 1 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 5 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 151 ( 0 sgn 135 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ! [X2] :
( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f12,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& ! [X2] :
~ ( r2_hidden(X2,X1)
& ! [X3] :
~ ( r2_hidden(X3,X1)
& r2_hidden(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tarski) ).
fof(f31,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(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f447,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(f687,axiom,
? [X0] :
( v1_relat_1(X0)
& v1_xboole_0(X0)
& v1_funct_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f3802,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(f3842,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(f3932,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(f4457,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(f4458,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)],[f4457]) ).
fof(f4473,plain,
? [X0] :
( v1_relat_1(X0)
& v1_xboole_0(X0) ),
inference(pure_predicate_removal,[],[f687]) ).
fof(f4474,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)))
& 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)))
& ~ 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) )
& ~ 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) ),
inference(ennf_transformation,[],[f4458]) ).
fof(f4475,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)))
& 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)))
& ~ 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) )
& ~ 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) ),
inference(flattening,[],[f4474]) ).
fof(f4481,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ? [X2] :
( r2_hidden(X2,X1)
& ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f4482,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( r2_hidden(X2,X0)
<~> r2_hidden(X2,X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f4489,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f4518,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f447]) ).
fof(f4519,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f4518]) ).
fof(f4540,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,[],[f3932]) ).
fof(f4541,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,[],[f4540]) ).
fof(f4550,plain,
! [X0] :
( m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3842]) ).
fof(f4551,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,[],[f3802]) ).
fof(f4552,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,[],[f4551]) ).
fof(f4557,plain,
( ~ r2_hidden(k3_yellow_0(sK3),u1_struct_0(sK2))
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),sK3)
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),sK3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),k1_zfmisc_1(u1_struct_0(sK3)))
& ~ v3_struct_0(sK3)
& v2_orders_2(sK3)
& v3_orders_2(sK3)
& v4_orders_2(sK3)
& v1_yellow_0(sK3)
& v1_lattice3(sK3)
& l1_orders_2(sK3)
& ~ v3_struct_0(sK2)
& v2_orders_2(sK2)
& v3_orders_2(sK2)
& v4_orders_2(sK2)
& v1_yellow_0(sK2)
& v1_lattice3(sK2)
& l1_orders_2(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f4475]) ).
fof(f4558,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ( r2_hidden(sK4(X1),X1)
& ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,sK4(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X1))],[f4481]) ).
fof(f4559,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
& ( r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) ) ),
inference(nnf_transformation,[],[f4482]) ).
fof(f4560,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ r2_hidden(sK5(X0,X1),X1)
| ~ r2_hidden(sK5(X0,X1),X0) )
& ( r2_hidden(sK5(X0,X1),X1)
| r2_hidden(sK5(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f4559]) ).
fof(f4561,plain,
( v1_relat_1(sK6)
& v1_xboole_0(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f4473]) ).
fof(f4568,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,[],[f31]) ).
fof(f4569,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,[],[f4568]) ).
fof(f4570,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,[],[f4569]) ).
fof(f4571,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK12(X0,X1,X2),X0)
| ~ r2_hidden(sK12(X0,X1,X2),X1)
| ~ r2_hidden(sK12(X0,X1,X2),X2) )
& ( ( r2_hidden(sK12(X0,X1,X2),X0)
& r2_hidden(sK12(X0,X1,X2),X1) )
| r2_hidden(sK12(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,[sK12]),skolemize(X3,sK12(X0,X1,X2))],[f4570]) ).
fof(f4596,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,[],[f4541]) ).
fof(f4597,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,[],[f4596]) ).
fof(f4598,plain,
! [X0] :
( ! [X1] :
( ( ( v12_waybel_0(X1,X0)
| ( ~ r2_hidden(sK29(X0,X1),X1)
& r2_hidden(sK28(X0,X1),X1)
& r1_orders_2(X0,sK29(X0,X1),sK28(X0,X1))
& m1_subset_1(sK29(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK28(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,[sK28,sK29]),skolemize(X2,sK28(X0,X1)),skolemize(X3,sK29(X0,X1))],[f4597]) ).
fof(f4607,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f4557]) ).
fof(f4609,plain,
v1_yellow_0(sK3),
inference(cnf_transformation,[],[f4557]) ).
fof(f4610,plain,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f4557]) ).
fof(f4613,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f4557]) ).
fof(f4614,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),k1_zfmisc_1(u1_struct_0(sK3))),
inference(cnf_transformation,[],[f4557]) ).
fof(f4615,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),sK3),
inference(cnf_transformation,[],[f4557]) ).
fof(f4617,plain,
~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3))),
inference(cnf_transformation,[],[f4557]) ).
fof(f4618,plain,
~ r2_hidden(k3_yellow_0(sK3),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f4557]) ).
fof(f4625,plain,
! [X0,X1] :
( r2_hidden(sK4(X1),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f4558]) ).
fof(f4626,plain,
! [X0,X1] :
( r2_hidden(sK5(X0,X1),X1)
| X0 = X1
| r2_hidden(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f4560]) ).
fof(f4629,plain,
v1_xboole_0(sK6),
inference(cnf_transformation,[],[f4561]) ).
fof(f4642,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f4489]) ).
fof(f4674,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f4675,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f4571]) ).
fof(f4683,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f4519]) ).
fof(f4732,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))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v12_waybel_0(X1,X0)
| r2_hidden(X5,X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f4598]) ).
fof(f4746,plain,
! [X0] :
( m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f4550]) ).
fof(f4747,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,[],[f4552]) ).
fof(f4753,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k3_xboole_0(X0,X1))
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f4675]) ).
fof(f4772,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)),k1_zfmisc_1(u1_struct_0(sK3))),
inference(forward_demodulation,[],[f4614,f4674]) ).
fof(f4773,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)),sK3),
inference(forward_demodulation,[],[f4615,f4674]) ).
fof(f4775,plain,
~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))),
inference(forward_demodulation,[],[f4617,f4674]) ).
fof(f4797,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ r1_orders_2(sK3,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)),sK3)
| r2_hidden(X1,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ l1_orders_2(sK3) ),
inference(resolution,[],[f4772,f4732]) ).
fof(f4802,plain,
! [X0] :
( ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(resolution,[],[f4772,f4683]) ).
fof(f4815,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ r1_orders_2(sK3,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)),sK3)
| r2_hidden(X1,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ l1_orders_2(sK3) ),
inference(forward_subsumption_resolution,[],[f4797,f4802]) ).
fof(f4818,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ r1_orders_2(sK3,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| r2_hidden(X1,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ l1_orders_2(sK3) ),
inference(forward_subsumption_resolution,[],[f4815,f4773]) ).
fof(f4820,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ r1_orders_2(sK3,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| r2_hidden(X1,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))) ),
inference(forward_subsumption_resolution,[],[f4818,f4607]) ).
fof(f4847,plain,
! [X0] :
( m1_subset_1(sK4(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))),u1_struct_0(sK3))
| ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))) ),
inference(resolution,[],[f4802,f4625]) ).
fof(f4858,definition,
( spl40_4
<=> ! [X0] : ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl40_4])],[avatar_definition]) ).
fof(f4859,plain,
( ! [X0] : ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ spl40_4 ),
inference(avatar_component_clause,[],[f4858]) ).
fof(f4861,definition,
( spl40_5
<=> m1_subset_1(sK4(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))),u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl40_5])],[avatar_definition]) ).
fof(f4863,plain,
( m1_subset_1(sK4(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))),u1_struct_0(sK3))
| ~ spl40_5 ),
inference(avatar_component_clause,[],[f4861]) ).
fof(f4864,plain,
( spl40_4
| spl40_5 ),
inference(avatar_split_clause,[],[f4847,f4861,f4858]) ).
fof(f4873,plain,
! [X0,X1] :
( ~ r1_orders_2(sK3,X0,sK4(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| r2_hidden(X0,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ r2_hidden(X1,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))) ),
inference(resolution,[],[f4820,f4625]) ).
fof(f5398,definition,
( spl40_60
<=> ! [X0] :
( ~ r1_orders_2(sK3,X0,sK4(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))))
| r2_hidden(X0,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl40_60])],[avatar_definition]) ).
fof(f5399,plain,
( ! [X0] :
( ~ r1_orders_2(sK3,X0,sK4(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))))
| r2_hidden(X0,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ m1_subset_1(X0,u1_struct_0(sK3)) )
| ~ spl40_60 ),
inference(avatar_component_clause,[],[f5398]) ).
fof(f5400,plain,
( spl40_4
| spl40_60 ),
inference(avatar_split_clause,[],[f4873,f5398,f4858]) ).
fof(f5472,plain,
( ! [X0] :
( r2_hidden(sK5(X0,k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))),X0)
| k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)) = X0 )
| ~ spl40_4 ),
inference(resolution,[],[f4859,f4626]) ).
fof(f5873,plain,
( ! [X0] :
( k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)) = X0
| ~ v1_xboole_0(X0) )
| ~ spl40_4 ),
inference(resolution,[],[f5472,f4642]) ).
fof(f5913,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X0) )
| ~ spl40_4 ),
inference(superposition,[],[f4775,f5873]) ).
fof(f5996,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl40_4 ),
inference(duplicate_literal_removal,[],[f5913]) ).
fof(f6030,plain,
( $false
| ~ spl40_4 ),
inference(resolution,[],[f5996,f4629]) ).
fof(f6037,plain,
~ spl40_4,
inference(avatar_contradiction_clause,[],[f6030]) ).
fof(f6139,definition,
( spl40_87
<=> r2_hidden(k3_yellow_0(sK3),k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl40_87])],[avatar_definition]) ).
fof(f6140,plain,
( ~ r2_hidden(k3_yellow_0(sK3),k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| spl40_87 ),
inference(avatar_component_clause,[],[f6139]) ).
fof(f6141,plain,
( r2_hidden(k3_yellow_0(sK3),k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ spl40_87 ),
inference(avatar_component_clause,[],[f6139]) ).
fof(f6191,plain,
( r2_hidden(k3_yellow_0(sK3),k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| ~ m1_subset_1(k3_yellow_0(sK3),u1_struct_0(sK3))
| ~ m1_subset_1(sK4(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_yellow_0(sK3)
| ~ l1_orders_2(sK3)
| ~ spl40_60 ),
inference(resolution,[],[f5399,f4747]) ).
fof(f6203,plain,
( r2_hidden(k3_yellow_0(sK3),u1_struct_0(sK2))
| ~ spl40_87 ),
inference(resolution,[],[f6141,f4753]) ).
fof(f6222,plain,
( $false
| ~ spl40_87 ),
inference(forward_subsumption_resolution,[],[f6203,f4618]) ).
fof(f6223,plain,
~ spl40_87,
inference(avatar_contradiction_clause,[],[f6222]) ).
fof(f6229,plain,
( ~ m1_subset_1(k3_yellow_0(sK3),u1_struct_0(sK3))
| ~ m1_subset_1(sK4(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_yellow_0(sK3)
| ~ l1_orders_2(sK3)
| ~ spl40_60
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f6191,f6140]) ).
fof(f6230,plain,
( ~ m1_subset_1(sK4(k3_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_yellow_0(sK3)
| ~ l1_orders_2(sK3)
| ~ spl40_60
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f6229,f4746]) ).
fof(f6231,plain,
( v3_struct_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_yellow_0(sK3)
| ~ l1_orders_2(sK3)
| ~ spl40_5
| ~ spl40_60
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f6230,f4863]) ).
fof(f6232,plain,
( ~ v4_orders_2(sK3)
| ~ v1_yellow_0(sK3)
| ~ l1_orders_2(sK3)
| ~ spl40_5
| ~ spl40_60
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f6231,f4613]) ).
fof(f6233,plain,
( ~ v1_yellow_0(sK3)
| ~ l1_orders_2(sK3)
| ~ spl40_5
| ~ spl40_60
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f6232,f4610]) ).
fof(f6234,plain,
( ~ l1_orders_2(sK3)
| ~ spl40_5
| ~ spl40_60
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f6233,f4609]) ).
fof(f6235,plain,
( $false
| ~ spl40_5
| ~ spl40_60
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f6234,f4607]) ).
fof(f6236,plain,
( ~ spl40_5
| ~ spl40_60
| spl40_87 ),
inference(avatar_contradiction_clause,[],[f6235]) ).
cnf(s3,plain,
( spl40_4
| spl40_5 ),
inference(sat_conversion,[],[f4864]) ).
cnf(s49,plain,
( spl40_4
| spl40_60 ),
inference(sat_conversion,[],[f5400]) ).
cnf(s75,plain,
~ spl40_4,
inference(sat_conversion,[],[f6037]) ).
cnf(s89,plain,
~ spl40_87,
inference(sat_conversion,[],[f6223]) ).
cnf(s90,plain,
( ~ spl40_5
| ~ spl40_60
| spl40_87 ),
inference(sat_conversion,[],[f6236]) ).
cnf(s103,plain,
spl40_60,
inference(rat,[],[s49,s75]) ).
cnf(s104,plain,
~ spl40_5,
inference(rat,[],[s90,s89,s103]) ).
cnf(s105,plain,
$false,
inference(rat,[],[s3,s104,s75]) ).
fof(f6237,plain,
$false,
inference(avatar_sat_refutation,[],[s105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU411+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 05:13:35 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.79/1.52 % (3675359)Detected formulas, will run a generic FOF schedule.
% 1.79/1.52 % (3675369)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1837079310:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 1.79/1.52 % (3675368)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3654283061:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 1.79/1.52 % (3675365)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=1253153703:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 1.79/1.52 % (3675367)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1331554658:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 1.79/1.52 % (3675364)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=2015978732:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 1.79/1.52 % (3675366)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=3364058274:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 1.79/1.52 % (3675370)dis-21_1_sil=8000:lcm=predicate:random_seed=3745848897:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 1.79/1.52 % (3675369)Instruction limit reached!
% 1.79/1.52 % (3675369)------------------------------
% 1.79/1.52 % (3675369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.79/1.52 % (3675369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/1.52 % (3675369)CaDiCaL version: 2.1.3
% 1.79/1.52 % (3675369)Termination reason: Instruction limit
% 1.79/1.52 % (3675369)Termination phase: Preprocessing 3
% 1.79/1.52 % (3675369)Time elapsed: 0.052 s
% 1.79/1.52 % (3675369)Peak memory usage: 95 MB
% 1.79/1.52 % (3675369)Instructions burned: 140 (million)
% 1.79/1.52 % (3675367)First to succeed.
% 1.79/1.52 % (3675367)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3675359"
% 1.79/1.52 % (3675368)Instruction limit reached!
% 1.79/1.52 % (3675368)------------------------------
% 1.79/1.52 % (3675368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.79/1.52 % (3675368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/1.52 % (3675368)CaDiCaL version: 2.1.3
% 1.79/1.52 % (3675368)Termination reason: Instruction limit
% 1.79/1.52 % (3675368)Termination phase: Saturation
% 1.79/1.52 % (3675368)Time elapsed: 0.079 s
% 1.79/1.52 % (3675368)Peak memory usage: 95 MB
% 1.79/1.52 % (3675368)Instructions burned: 120 (million)
% 1.79/1.52 % (3675370)Instruction limit reached!
% 1.79/1.52 % (3675370)------------------------------
% 1.79/1.52 % (3675370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.79/1.52 % (3675370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/1.52 % (3675370)CaDiCaL version: 2.1.3
% 1.79/1.52 % (3675370)Termination reason: Instruction limit
% 1.79/1.52 % (3675370)Termination phase: Preprocessing 3
% 1.79/1.52 % (3675370)Time elapsed: 0.093 s
% 1.79/1.52 % (3675370)Peak memory usage: 95 MB
% 1.79/1.52 % (3675370)Instructions burned: 129 (million)
% 1.79/1.52 % (3675378)lrs+10_1_sil=8000:sp=occurrence:random_seed=3130493004:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 1.79/1.52 % (3675379)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3668942901:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 1.79/1.52 % (3675378)Instruction limit reached!
% 1.79/1.52 % (3675378)------------------------------
% 1.79/1.52 % (3675378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.79/1.52 % (3675378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/1.52 % (3675378)CaDiCaL version: 2.1.3
% 1.79/1.52 % (3675378)Termination reason: Instruction limit
% 1.79/1.52 % (3675378)Termination phase: Saturation
% 1.79/1.52 % (3675378)Time elapsed: 0.109 s
% 1.79/1.52 % (3675378)Peak memory usage: 98 MB
% 1.79/1.52 % (3675378)Instructions burned: 285 (million)
% 1.79/1.52 % (3675381)lrs+1011_1_sil=32000:sp=occurrence:random_seed=834916924:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 1.79/1.52 % (3675379)Instruction limit reached!
% 1.79/1.52 % (3675379)------------------------------
% 1.79/1.52 % (3675379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.79/1.52 % (3675379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/1.52 % (3675379)CaDiCaL version: 2.1.3
% 1.79/1.52 % (3675379)Termination reason: Instruction limit
% 1.79/1.52 % (3675379)Termination phase: Saturation
% 1.79/1.52 % (3675379)Time elapsed: 0.095 s
% 1.79/1.52 % (3675379)Peak memory usage: 94 MB
% 1.79/1.52 % (3675379)Instructions burned: 158 (million)
% 1.79/1.52 % (3675383)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=1934488471:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 1.79/1.52 % (3675367)Refutation found. Thanks to Tanya!
% 1.79/1.52 % SZS status Theorem for theBenchmark
% 1.79/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 4.06/1.61 % (3675367)------------------------------
% 4.06/1.61 % (3675367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.61 % (3675367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.61 % (3675367)CaDiCaL version: 2.1.3
% 4.06/1.61 % (3675367)Termination reason: Refutation
% 4.06/1.61 % (3675367)Time elapsed: 0.074 s
% 4.06/1.61 % (3675367)Peak memory usage: 96 MB
% 4.06/1.61 % (3675367)Instructions burned: 112 (million)
% 4.06/1.61 % (3675367)------------------------------
% 4.06/1.61 % (3675367)------------------------------
% 4.06/1.61 % (3675359)Success in time 0.657 s
% 4.06/1.61 % Vampire exiting
%------------------------------------------------------------------------------