%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU412+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 : 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 12:53:11 PM UTC 2026
% Result : Theorem 166.20s 42.20s
% Output : Refutation 166.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 32
% Syntax : Number of formulae : 221 ( 37 unt; 14 def)
% Number of atoms : 706 ( 70 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 824 ( 339 ~; 345 |; 102 &)
% ( 22 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 15 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-6 aty)
% Number of variables : 278 ( 0 sgn 263 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( l1_orders_2(X2)
=> ! [X3] :
( l1_orders_2(X3)
=> ~ ( r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
& ~ ( r2_hidden(X0,u1_struct_0(X2))
& r2_hidden(X1,u1_struct_0(X2)) )
& ~ ( r2_hidden(X0,u1_struct_0(X3))
& r2_hidden(X1,u1_struct_0(X3)) )
& ~ ( r2_hidden(X0,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3)))
& r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsum_1) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( l1_orders_2(X2)
=> ! [X3] :
( l1_orders_2(X3)
=> ~ ( r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
& ~ ( r2_hidden(X0,u1_struct_0(X2))
& r2_hidden(X1,u1_struct_0(X2)) )
& ~ ( r2_hidden(X0,u1_struct_0(X3))
& r2_hidden(X1,u1_struct_0(X3)) )
& ~ ( r2_hidden(X0,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3)))
& r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f8,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/sandbox2/benchmark/theBenchmark.p',d2_latsum_1) ).
fof(f9,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/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f10,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/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f12,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/sandbox2/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
fof(f26,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f27,axiom,
! [X0] :
( l1_orders_2(X0)
=> m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f32,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f34,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f45,axiom,
! [X0,X1,X2,X3] :
( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
<=> ( r2_hidden(X0,X2)
& r2_hidden(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f46,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& r2_hidden(X2,u1_struct_0(X1)) )
=> r2_hidden(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_latsum_1) ).
fof(f47,axiom,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
fof(f50,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(f54,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(f55,axiom,
! [X0,X1,X2] :
~ ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f56,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f57,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f65,plain,
? [X0,X1,X2] :
( ? [X3] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
& ( ~ r2_hidden(X0,u1_struct_0(X2))
| ~ r2_hidden(X1,u1_struct_0(X2)) )
& ( ~ r2_hidden(X0,u1_struct_0(X3))
| ~ r2_hidden(X1,u1_struct_0(X3)) )
& ( ~ r2_hidden(X0,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3)))
| ~ r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2))) )
& l1_orders_2(X3) )
& l1_orders_2(X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f66,plain,
? [X0,X1,X2] :
( ? [X3] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
& ( ~ r2_hidden(X0,u1_struct_0(X2))
| ~ r2_hidden(X1,u1_struct_0(X2)) )
& ( ~ r2_hidden(X0,u1_struct_0(X3))
| ~ r2_hidden(X1,u1_struct_0(X3)) )
& ( ~ r2_hidden(X0,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3)))
| ~ r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2))) )
& l1_orders_2(X3) )
& l1_orders_2(X2) ),
inference(flattening,[],[f65]) ).
fof(f71,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,[],[f8]) ).
fof(f72,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,[],[f71]) ).
fof(f74,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,[],[f12]) ).
fof(f75,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,[],[f74]) ).
fof(f80,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f81,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f87]) ).
fof(f90,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f91,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f93,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f94,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f55]) ).
fof(f96,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f97,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f99,plain,
( r2_hidden(k4_tarski(sK0,sK1),u1_orders_2(k1_latsum_1(sK2,sK3)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),sK2)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),k1_zfmisc_1(u1_struct_0(sK2)))
& ( ~ r2_hidden(sK0,u1_struct_0(sK2))
| ~ r2_hidden(sK1,u1_struct_0(sK2)) )
& ( ~ r2_hidden(sK0,u1_struct_0(sK3))
| ~ r2_hidden(sK1,u1_struct_0(sK3)) )
& ( ~ r2_hidden(sK0,k4_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)))
| ~ r2_hidden(sK1,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))) )
& l1_orders_2(sK3)
& l1_orders_2(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f66]) ).
fof(f100,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,[],[f72]) ).
fof(f101,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,[],[f100]) ).
fof(f102,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,[],[f9]) ).
fof(f103,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,[],[f102]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [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,[],[f103]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK4(X0,X1,X2),X0)
& ~ r2_hidden(sK4(X0,X1,X2),X1) )
| ~ r2_hidden(sK4(X0,X1,X2),X2) )
& ( r2_hidden(sK4(X0,X1,X2),X0)
| r2_hidden(sK4(X0,X1,X2),X1)
| r2_hidden(sK4(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,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f104]) ).
fof(f106,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,[],[f10]) ).
fof(f107,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,[],[f106]) ).
fof(f108,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,[],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( X2 = k4_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) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f108]) ).
fof(f112,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f32]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X1,X3) )
& ( ( r2_hidden(X0,X2)
& r2_hidden(X1,X3) )
| ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X1,X3) )
& ( ( r2_hidden(X0,X2)
& r2_hidden(X1,X3) )
| ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f120,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f121,plain,
( ~ r2_hidden(sK0,k4_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)))
| ~ r2_hidden(sK1,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))) ),
inference(cnf_transformation,[],[f99]) ).
fof(f122,plain,
( ~ r2_hidden(sK0,u1_struct_0(sK3))
| ~ r2_hidden(sK1,u1_struct_0(sK3)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f123,plain,
( ~ r2_hidden(sK0,u1_struct_0(sK2))
| ~ r2_hidden(sK1,u1_struct_0(sK2)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f124,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf_transformation,[],[f99]) ).
fof(f125,plain,
v13_waybel_0(k3_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f126,plain,
r2_hidden(k4_tarski(sK0,sK1),u1_orders_2(k1_latsum_1(sK2,sK3))),
inference(cnf_transformation,[],[f99]) ).
fof(f130,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f133,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,[],[f101]) ).
fof(f135,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,[],[f105]) ).
fof(f136,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f138,plain,
! [X2,X0,X1] :
( r2_hidden(sK4(X0,X1,X2),X2)
| r2_hidden(sK4(X0,X1,X2),X1)
| r2_hidden(sK4(X0,X1,X2),X0)
| k2_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f141,plain,
! [X2,X0,X1,X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f109]) ).
fof(f142,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f109]) ).
fof(f143,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,[],[f109]) ).
fof(f149,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f150,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f153,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f154,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f157,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(cnf_transformation,[],[f112]) ).
fof(f159,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f34]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| r2_hidden(X3,u1_struct_0(X1))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f176,plain,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f47]) ).
fof(f179,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f185,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f96]) ).
fof(f186,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f188,plain,
! [X0,X1] :
( k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1))
| ~ v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f133]) ).
fof(f191,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k2_xboole_0(X0,X1))
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f136]) ).
fof(f192,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f135]) ).
fof(f193,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f194,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f142]) ).
fof(f195,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f141]) ).
fof(f197,plain,
! [X0,X1] :
( ~ 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(X0) ),
inference(global_subsumption,[],[f188,f150,f149]) ).
fof(f199,definition,
( spl12_1
<=> r2_hidden(sK1,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f201,plain,
( ~ r2_hidden(sK1,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| spl12_1 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f203,definition,
( spl12_2
<=> r2_hidden(sK0,k4_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3))) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f205,plain,
( ~ r2_hidden(sK0,k4_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)))
| spl12_2 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f121,f203,f199]) ).
fof(f208,definition,
( spl12_3
<=> r2_hidden(sK1,u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f210,plain,
( ~ r2_hidden(sK1,u1_struct_0(sK3))
| spl12_3 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f212,definition,
( spl12_4
<=> r2_hidden(sK0,u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f214,plain,
( ~ r2_hidden(sK0,u1_struct_0(sK3))
| spl12_4 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f215,plain,
( ~ spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f122,f212,f208]) ).
fof(f217,definition,
( spl12_5
<=> r2_hidden(sK1,u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f219,plain,
( ~ r2_hidden(sK1,u1_struct_0(sK2))
| spl12_5 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f221,definition,
( spl12_6
<=> r2_hidden(sK0,u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f224,plain,
( ~ spl12_5
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f123,f221,f217]) ).
fof(f228,plain,
! [X0] : ~ r2_hidden(X0,k1_xboole_0),
inference(resolution,[],[f186,f159]) ).
fof(f236,plain,
! [X0] : k2_xboole_0(k1_xboole_0,X0) = X0,
inference(superposition,[],[f130,f176]) ).
fof(f272,plain,
! [X0] :
( r2_hidden(sK8(X0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f179,f157]) ).
fof(f310,plain,
! [X0,X1] :
( r2_hidden(sK8(k4_xboole_0(X0,X1)),X0)
| v1_xboole_0(k4_xboole_0(X0,X1)) ),
inference(resolution,[],[f194,f272]) ).
fof(f313,plain,
! [X0,X1] :
( ~ r2_hidden(sK8(k4_xboole_0(X0,X1)),X1)
| v1_xboole_0(k4_xboole_0(X0,X1)) ),
inference(resolution,[],[f195,f272]) ).
fof(f332,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_xboole_0))
| ~ r2_hidden(X1,X0) ),
inference(resolution,[],[f184,f159]) ).
fof(f425,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,k2_zfmisc_1(X2,X3))
| ~ m2_relset_1(X1,X2,X3) ),
inference(resolution,[],[f183,f153]) ).
fof(f586,plain,
( ~ r2_hidden(sK1,u1_struct_0(sK3))
| r2_hidden(sK1,u1_struct_0(sK2))
| spl12_1 ),
inference(resolution,[],[f193,f201]) ).
fof(f587,plain,
( ~ r2_hidden(sK0,u1_struct_0(sK2))
| r2_hidden(sK0,u1_struct_0(sK3))
| spl12_2 ),
inference(resolution,[],[f193,f205]) ).
fof(f613,plain,
! [X0,X1] :
( ~ m2_relset_1(u1_orders_2(k1_latsum_1(sK2,sK3)),X0,X1)
| m1_subset_1(k4_tarski(sK0,sK1),k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f425,f126]) ).
fof(f619,plain,
( m1_subset_1(k4_tarski(sK0,sK1),k2_zfmisc_1(u1_struct_0(k1_latsum_1(sK2,sK3)),u1_struct_0(k1_latsum_1(sK2,sK3))))
| ~ l1_orders_2(k1_latsum_1(sK2,sK3)) ),
inference(resolution,[],[f613,f154]) ).
fof(f622,definition,
( spl12_13
<=> l1_orders_2(k1_latsum_1(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl12_13])],[avatar_definition]) ).
fof(f623,plain,
( l1_orders_2(k1_latsum_1(sK2,sK3))
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f624,plain,
( ~ l1_orders_2(k1_latsum_1(sK2,sK3))
| spl12_13 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f626,definition,
( spl12_14
<=> m1_subset_1(k4_tarski(sK0,sK1),k2_zfmisc_1(u1_struct_0(k1_latsum_1(sK2,sK3)),u1_struct_0(k1_latsum_1(sK2,sK3)))) ),
introduced(definition,[new_symbols(definition,[spl12_14])],[avatar_definition]) ).
fof(f628,plain,
( m1_subset_1(k4_tarski(sK0,sK1),k2_zfmisc_1(u1_struct_0(k1_latsum_1(sK2,sK3)),u1_struct_0(k1_latsum_1(sK2,sK3))))
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f629,plain,
( ~ spl12_13
| spl12_14 ),
inference(avatar_split_clause,[],[f619,f626,f622]) ).
fof(f630,plain,
( ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| spl12_13 ),
inference(resolution,[],[f624,f149]) ).
fof(f631,plain,
( ~ l1_orders_2(sK3)
| spl12_13 ),
inference(forward_subsumption_resolution,[],[f630,f119]) ).
fof(f632,plain,
( $false
| spl12_13 ),
inference(forward_subsumption_resolution,[],[f631,f120]) ).
fof(f633,plain,
spl12_13,
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f635,plain,
( r2_hidden(k4_tarski(sK0,sK1),k2_zfmisc_1(u1_struct_0(k1_latsum_1(sK2,sK3)),u1_struct_0(k1_latsum_1(sK2,sK3))))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1(sK2,sK3)),u1_struct_0(k1_latsum_1(sK2,sK3))))
| ~ spl12_14 ),
inference(resolution,[],[f628,f179]) ).
fof(f637,definition,
( spl12_15
<=> v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1(sK2,sK3)),u1_struct_0(k1_latsum_1(sK2,sK3)))) ),
introduced(definition,[new_symbols(definition,[spl12_15])],[avatar_definition]) ).
fof(f639,plain,
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1(sK2,sK3)),u1_struct_0(k1_latsum_1(sK2,sK3))))
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f641,definition,
( spl12_16
<=> r2_hidden(k4_tarski(sK0,sK1),k2_zfmisc_1(u1_struct_0(k1_latsum_1(sK2,sK3)),u1_struct_0(k1_latsum_1(sK2,sK3)))) ),
introduced(definition,[new_symbols(definition,[spl12_16])],[avatar_definition]) ).
fof(f643,plain,
( r2_hidden(k4_tarski(sK0,sK1),k2_zfmisc_1(u1_struct_0(k1_latsum_1(sK2,sK3)),u1_struct_0(k1_latsum_1(sK2,sK3))))
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f644,plain,
( spl12_15
| spl12_16
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f635,f626,f641,f637]) ).
fof(f909,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,[],[f197,f120]) ).
fof(f1258,plain,
u1_struct_0(k1_latsum_1(sK2,sK3)) = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),
inference(resolution,[],[f909,f119]) ).
fof(f1384,plain,
! [X0] :
( r2_hidden(X0,u1_struct_0(k1_latsum_1(sK2,sK3)))
| ~ r2_hidden(X0,u1_struct_0(sK3)) ),
inference(superposition,[],[f191,f1258]) ).
fof(f1385,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(k1_latsum_1(sK2,sK3)))
| r2_hidden(X0,u1_struct_0(sK3))
| r2_hidden(X0,u1_struct_0(sK2)) ),
inference(superposition,[],[f192,f1258]) ).
fof(f1511,plain,
! [X0] :
( ~ r2_hidden(sK8(k4_xboole_0(X0,u1_struct_0(k1_latsum_1(sK2,sK3)))),u1_struct_0(sK3))
| v1_xboole_0(k4_xboole_0(X0,u1_struct_0(k1_latsum_1(sK2,sK3)))) ),
inference(resolution,[],[f1384,f313]) ).
fof(f2302,plain,
( ~ r2_hidden(sK0,u1_struct_0(sK2))
| spl12_2
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f587,f214]) ).
fof(f2304,plain,
( ~ spl12_6
| spl12_2
| spl12_4 ),
inference(avatar_split_clause,[],[f2302,f212,f203,f221]) ).
fof(f2513,plain,
( ! [X0] : ~ r2_hidden(X0,k2_zfmisc_1(u1_struct_0(k1_latsum_1(sK2,sK3)),u1_struct_0(k1_latsum_1(sK2,sK3))))
| ~ spl12_15 ),
inference(resolution,[],[f639,f186]) ).
fof(f2527,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_struct_0(k1_latsum_1(sK2,sK3)))
| ~ r2_hidden(X1,u1_struct_0(k1_latsum_1(sK2,sK3))) )
| ~ spl12_15 ),
inference(resolution,[],[f2513,f174]) ).
fof(f2532,definition,
( spl12_107
<=> ! [X1] : ~ r2_hidden(X1,u1_struct_0(k1_latsum_1(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl12_107])],[avatar_definition]) ).
fof(f2533,plain,
( ! [X1] : ~ r2_hidden(X1,u1_struct_0(k1_latsum_1(sK2,sK3)))
| ~ spl12_107 ),
inference(avatar_component_clause,[],[f2532]) ).
fof(f2534,plain,
( spl12_107
| spl12_107
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f2527,f637,f2532,f2532]) ).
fof(f2761,plain,
( r2_hidden(sK0,u1_struct_0(k1_latsum_1(sK2,sK3)))
| ~ spl12_16 ),
inference(resolution,[],[f643,f173]) ).
fof(f2762,plain,
( r2_hidden(sK1,u1_struct_0(k1_latsum_1(sK2,sK3)))
| ~ spl12_16 ),
inference(resolution,[],[f643,f172]) ).
fof(f2895,plain,
( r2_hidden(sK0,u1_struct_0(sK3))
| r2_hidden(sK0,u1_struct_0(sK2))
| ~ spl12_16 ),
inference(resolution,[],[f1385,f2761]) ).
fof(f2896,plain,
( r2_hidden(sK1,u1_struct_0(sK3))
| r2_hidden(sK1,u1_struct_0(sK2))
| ~ spl12_16 ),
inference(resolution,[],[f1385,f2762]) ).
fof(f2927,plain,
( ~ r2_hidden(sK1,u1_struct_0(sK3))
| spl12_1
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f586,f219]) ).
fof(f2929,plain,
( ~ spl12_3
| spl12_1
| spl12_5 ),
inference(avatar_split_clause,[],[f2927,f217,f199,f208]) ).
fof(f2933,plain,
( spl12_5
| spl12_3
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f2896,f641,f208,f217]) ).
fof(f2934,plain,
( spl12_6
| spl12_4
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f2895,f641,f212,f221]) ).
fof(f32895,definition,
( spl12_1290
<=> k1_xboole_0 = u1_struct_0(k1_latsum_1(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl12_1290])],[avatar_definition]) ).
fof(f32897,plain,
( k1_xboole_0 = u1_struct_0(k1_latsum_1(sK2,sK3))
| ~ spl12_1290 ),
inference(avatar_component_clause,[],[f32895]) ).
fof(f43166,plain,
( v1_xboole_0(k4_xboole_0(u1_struct_0(sK3),u1_struct_0(k1_latsum_1(sK2,sK3))))
| v1_xboole_0(k4_xboole_0(u1_struct_0(sK3),u1_struct_0(k1_latsum_1(sK2,sK3)))) ),
inference(resolution,[],[f1511,f310]) ).
fof(f43171,plain,
v1_xboole_0(k4_xboole_0(u1_struct_0(sK3),u1_struct_0(k1_latsum_1(sK2,sK3)))),
inference(duplicate_literal_removal,[],[f43166]) ).
fof(f43174,plain,
! [X0] : ~ r2_hidden(X0,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(k1_latsum_1(sK2,sK3)))),
inference(resolution,[],[f43171,f186]) ).
fof(f43175,plain,
k1_xboole_0 = k4_xboole_0(u1_struct_0(sK3),u1_struct_0(k1_latsum_1(sK2,sK3))),
inference(resolution,[],[f43171,f185]) ).
fof(f78048,plain,
! [X0,X1] :
( r2_hidden(sK4(k4_xboole_0(u1_struct_0(sK3),u1_struct_0(k1_latsum_1(sK2,sK3))),X0,X1),X1)
| r2_hidden(sK4(k4_xboole_0(u1_struct_0(sK3),u1_struct_0(k1_latsum_1(sK2,sK3))),X0,X1),X0)
| k2_xboole_0(k4_xboole_0(u1_struct_0(sK3),u1_struct_0(k1_latsum_1(sK2,sK3))),X0) = X1 ),
inference(resolution,[],[f138,f43174]) ).
fof(f78107,plain,
! [X0,X1] :
( r2_hidden(sK4(k1_xboole_0,X0,X1),X1)
| r2_hidden(sK4(k4_xboole_0(u1_struct_0(sK3),u1_struct_0(k1_latsum_1(sK2,sK3))),X0,X1),X0)
| k2_xboole_0(k4_xboole_0(u1_struct_0(sK3),u1_struct_0(k1_latsum_1(sK2,sK3))),X0) = X1 ),
inference(forward_demodulation,[],[f78048,f43175]) ).
fof(f78192,plain,
! [X0,X1] :
( r2_hidden(sK4(k1_xboole_0,X0,X1),X0)
| r2_hidden(sK4(k1_xboole_0,X0,X1),X1)
| k2_xboole_0(k4_xboole_0(u1_struct_0(sK3),u1_struct_0(k1_latsum_1(sK2,sK3))),X0) = X1 ),
inference(forward_demodulation,[],[f78107,f43175]) ).
fof(f78252,plain,
! [X0,X1] :
( k2_xboole_0(k1_xboole_0,X0) = X1
| r2_hidden(sK4(k1_xboole_0,X0,X1),X0)
| r2_hidden(sK4(k1_xboole_0,X0,X1),X1) ),
inference(forward_demodulation,[],[f78192,f43175]) ).
fof(f78312,plain,
! [X0,X1] :
( r2_hidden(sK4(k1_xboole_0,X0,X1),X1)
| r2_hidden(sK4(k1_xboole_0,X0,X1),X0)
| X0 = X1 ),
inference(forward_demodulation,[],[f78252,f236]) ).
fof(f96162,plain,
! [X0] :
( r2_hidden(sK4(k1_xboole_0,k1_xboole_0,X0),X0)
| k1_xboole_0 = X0 ),
inference(resolution,[],[f78312,f228]) ).
fof(f105855,plain,
! [X0,X1] :
( ~ v13_waybel_0(k3_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),sK2)
| r2_hidden(X0,u1_struct_0(sK3))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK2,sK3)))
| ~ r2_hidden(X1,u1_struct_0(sK3))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2) ),
inference(resolution,[],[f175,f124]) ).
fof(f106497,plain,
! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK3))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK2,sK3)))
| ~ r2_hidden(X1,u1_struct_0(sK3))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2) ),
inference(forward_subsumption_resolution,[],[f105855,f125]) ).
fof(f106517,plain,
! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK3))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK2,sK3)))
| ~ r2_hidden(X1,u1_struct_0(sK3))
| ~ l1_orders_2(sK2) ),
inference(forward_subsumption_resolution,[],[f106497,f120]) ).
fof(f106537,plain,
! [X0,X1] :
( ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK2,sK3)))
| r2_hidden(X0,u1_struct_0(sK3))
| ~ r2_hidden(X1,u1_struct_0(sK3)) ),
inference(forward_subsumption_resolution,[],[f106517,f119]) ).
fof(f116250,plain,
( r2_hidden(sK1,u1_struct_0(sK3))
| ~ r2_hidden(sK0,u1_struct_0(sK3)) ),
inference(resolution,[],[f106537,f126]) ).
fof(f116251,plain,
( ~ r2_hidden(sK0,u1_struct_0(sK3))
| spl12_3 ),
inference(forward_subsumption_resolution,[],[f116250,f210]) ).
fof(f118210,plain,
( ~ spl12_4
| spl12_3 ),
inference(avatar_split_clause,[],[f116251,f208,f212]) ).
fof(f122318,plain,
( k1_xboole_0 = u1_struct_0(k1_latsum_1(sK2,sK3))
| ~ spl12_107 ),
inference(resolution,[],[f2533,f96162]) ).
fof(f122365,plain,
( spl12_1290
| ~ spl12_107 ),
inference(avatar_split_clause,[],[f122318,f2532,f32895]) ).
fof(f122454,plain,
( m1_subset_1(k4_tarski(sK0,sK1),k2_zfmisc_1(k1_xboole_0,k1_xboole_0))
| ~ spl12_14
| ~ spl12_1290 ),
inference(superposition,[],[f628,f32897]) ).
fof(f122728,plain,
( m2_relset_1(u1_orders_2(k1_latsum_1(sK2,sK3)),k1_xboole_0,k1_xboole_0)
| ~ l1_orders_2(k1_latsum_1(sK2,sK3))
| ~ spl12_1290 ),
inference(superposition,[],[f154,f32897]) ).
fof(f122729,plain,
( m2_relset_1(u1_orders_2(k1_latsum_1(sK2,sK3)),k1_xboole_0,k1_xboole_0)
| ~ spl12_13
| ~ spl12_1290 ),
inference(forward_subsumption_resolution,[],[f122728,f623]) ).
fof(f123492,plain,
( r2_hidden(k4_tarski(sK0,sK1),k2_zfmisc_1(k1_xboole_0,k1_xboole_0))
| v1_xboole_0(k2_zfmisc_1(k1_xboole_0,k1_xboole_0))
| ~ spl12_14
| ~ spl12_1290 ),
inference(resolution,[],[f122454,f179]) ).
fof(f123494,definition,
( spl12_2843
<=> v1_xboole_0(k2_zfmisc_1(k1_xboole_0,k1_xboole_0)) ),
introduced(definition,[new_symbols(definition,[spl12_2843])],[avatar_definition]) ).
fof(f123496,plain,
( v1_xboole_0(k2_zfmisc_1(k1_xboole_0,k1_xboole_0))
| ~ spl12_2843 ),
inference(avatar_component_clause,[],[f123494]) ).
fof(f123498,definition,
( spl12_2844
<=> r2_hidden(k4_tarski(sK0,sK1),k2_zfmisc_1(k1_xboole_0,k1_xboole_0)) ),
introduced(definition,[new_symbols(definition,[spl12_2844])],[avatar_definition]) ).
fof(f123500,plain,
( r2_hidden(k4_tarski(sK0,sK1),k2_zfmisc_1(k1_xboole_0,k1_xboole_0))
| ~ spl12_2844 ),
inference(avatar_component_clause,[],[f123498]) ).
fof(f123501,plain,
( spl12_2843
| spl12_2844
| ~ spl12_14
| ~ spl12_1290 ),
inference(avatar_split_clause,[],[f123492,f32895,f626,f123498,f123494]) ).
fof(f123759,plain,
( r2_hidden(sK0,k1_xboole_0)
| ~ spl12_2844 ),
inference(resolution,[],[f123500,f173]) ).
fof(f123772,plain,
( $false
| ~ spl12_2844 ),
inference(forward_subsumption_resolution,[],[f123759,f228]) ).
fof(f123773,plain,
~ spl12_2844,
inference(avatar_contradiction_clause,[],[f123772]) ).
fof(f123779,plain,
( k1_xboole_0 = k2_zfmisc_1(k1_xboole_0,k1_xboole_0)
| ~ spl12_2843 ),
inference(resolution,[],[f123496,f185]) ).
fof(f124082,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k1_xboole_0,k1_xboole_0)
| m1_subset_1(X0,k1_zfmisc_1(k1_xboole_0)) )
| ~ spl12_2843 ),
inference(superposition,[],[f153,f123779]) ).
fof(f126167,plain,
( m1_subset_1(u1_orders_2(k1_latsum_1(sK2,sK3)),k1_zfmisc_1(k1_xboole_0))
| ~ spl12_13
| ~ spl12_1290
| ~ spl12_2843 ),
inference(resolution,[],[f124082,f122729]) ).
fof(f126772,plain,
( ! [X0] : ~ r2_hidden(X0,u1_orders_2(k1_latsum_1(sK2,sK3)))
| ~ spl12_13
| ~ spl12_1290
| ~ spl12_2843 ),
inference(resolution,[],[f126167,f332]) ).
fof(f126778,plain,
( $false
| ~ spl12_13
| ~ spl12_1290
| ~ spl12_2843 ),
inference(resolution,[],[f126772,f126]) ).
fof(f126822,plain,
( ~ spl12_13
| ~ spl12_1290
| ~ spl12_2843 ),
inference(avatar_contradiction_clause,[],[f126778]) ).
cnf(s65,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(sat_conversion,[],[f206]) ).
cnf(s67,plain,
( ~ spl12_3
| ~ spl12_4 ),
inference(sat_conversion,[],[f215]) ).
cnf(s69,plain,
( ~ spl12_5
| ~ spl12_6 ),
inference(sat_conversion,[],[f224]) ).
cnf(s403,plain,
( ~ spl12_13
| spl12_14 ),
inference(sat_conversion,[],[f629]) ).
cnf(s407,plain,
spl12_13,
inference(sat_conversion,[],[f633]) ).
cnf(s415,plain,
( ~ spl12_14
| spl12_15
| spl12_16 ),
inference(sat_conversion,[],[f644]) ).
cnf(s1557,plain,
( spl12_2
| spl12_4
| ~ spl12_6 ),
inference(sat_conversion,[],[f2304]) ).
cnf(s1734,plain,
( spl12_107
| ~ spl12_15
| spl12_107 ),
inference(sat_conversion,[],[f2534]) ).
cnf(s1735,plain,
( ~ spl12_15
| spl12_107 ),
inference(rat,[],[s1734]) ).
cnf(s2031,plain,
( spl12_1
| ~ spl12_3
| spl12_5 ),
inference(sat_conversion,[],[f2929]) ).
cnf(s2044,plain,
( spl12_3
| spl12_5
| ~ spl12_16 ),
inference(sat_conversion,[],[f2933]) ).
cnf(s2046,plain,
( spl12_4
| spl12_6
| ~ spl12_16 ),
inference(sat_conversion,[],[f2934]) ).
cnf(s61416,plain,
( spl12_3
| ~ spl12_4 ),
inference(sat_conversion,[],[f118210]) ).
cnf(s63846,plain,
( ~ spl12_107
| spl12_1290 ),
inference(sat_conversion,[],[f122365]) ).
cnf(s64320,plain,
( ~ spl12_14
| ~ spl12_1290
| spl12_2843
| spl12_2844 ),
inference(sat_conversion,[],[f123501]) ).
cnf(s64491,plain,
~ spl12_2844,
inference(sat_conversion,[],[f123773]) ).
cnf(s65866,plain,
( ~ spl12_13
| ~ spl12_1290
| ~ spl12_2843 ),
inference(sat_conversion,[],[f126822]) ).
cnf(s65906,plain,
( ~ spl12_14
| ~ spl12_1290
| spl12_2843 ),
inference(rat,[],[s64320,s64491]) ).
cnf(s66861,plain,
spl12_14,
inference(rat,[],[s403,s407]) ).
cnf(s66862,plain,
~ spl12_1290,
inference(rat,[],[s65906,s65866,s66861,s407]) ).
cnf(s66863,plain,
~ spl12_107,
inference(rat,[],[s63846,s66862]) ).
cnf(s66883,plain,
~ spl12_15,
inference(rat,[],[s1735,s66863]) ).
cnf(s66894,plain,
spl12_16,
inference(rat,[],[s415,s66861,s66883]) ).
cnf(s66899,plain,
( spl12_4
| spl12_2 ),
inference(rat,[],[s2046,s1557,s66894]) ).
cnf(s66900,plain,
~ spl12_4,
inference(rat,[],[s67,s61416]) ).
cnf(s66901,plain,
spl12_2,
inference(rat,[],[s66899,s66900]) ).
cnf(s66902,plain,
spl12_6,
inference(rat,[],[s2046,s66894,s66900]) ).
cnf(s66904,plain,
~ spl12_5,
inference(rat,[],[s69,s66902]) ).
cnf(s66906,plain,
spl12_3,
inference(rat,[],[s2044,s66894,s66904]) ).
cnf(s66908,plain,
spl12_1,
inference(rat,[],[s2031,s66906,s66904]) ).
cnf(s66909,plain,
$false,
inference(rat,[],[s65,s66901,s66908]) ).
fof(f126849,plain,
$false,
inference(avatar_sat_refutation,[],[s66909]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU412+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n019.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 05:13:49 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 7.21/1.69 % (3675782)Will run a generic schedule for satisfiability detection.
% 7.21/1.69 % (3675793)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1000756238:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.21/1.69 % (3675788)% WARNING: option uhcvi not known.
% 7.21/1.69 % (3675787)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2645463979_2999 on theBenchmark for (2999ds/0Mi)
% 7.21/1.69 % (3675788)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1862333296:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.21/1.69 % (3675789)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1665371817:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.21/1.69 % (3675790)dis+10_1_sil=32000:sp=arity:random_seed=4061906579:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.21/1.69 % (3675792)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2690645472:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.21/1.69 % (3675791)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4208443540:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.21/1.69 % TRYING [1]
% 7.21/1.69 % TRYING [2]
% 7.21/1.69 % TRYING [3]
% 7.21/1.69 % (3675793)Instruction limit reached!
% 7.21/1.69 % (3675793)------------------------------
% 7.21/1.69 % (3675793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/1.69 % (3675793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.69 % (3675793)CaDiCaL version: 2.1.3
% 7.21/1.69 % (3675793)Termination reason: Instruction limit
% 7.21/1.69 % (3675793)Termination phase: Saturation
% 7.21/1.69 % (3675793)Time elapsed: 0.054 s
% 7.21/1.69 % (3675793)Peak memory usage: 14 MB
% 7.21/1.69 % (3675793)Instructions burned: 161 (million)
% 7.21/1.69 % TRYING [4]
% 7.21/1.69 % (3675790)Instruction limit reached!
% 7.21/1.69 % (3675790)------------------------------
% 7.21/1.69 % (3675790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/1.69 % (3675790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.69 % (3675790)CaDiCaL version: 2.1.3
% 7.21/1.69 % (3675790)Termination reason: Instruction limit
% 7.21/1.69 % (3675790)Termination phase: Saturation
% 7.21/1.69 % (3675790)Time elapsed: 0.064 s
% 7.21/1.69 % (3675790)Peak memory usage: 12 MB
% 7.21/1.69 % (3675790)Instructions burned: 103 (million)
% 7.21/1.69 % (3675801)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2773251418:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.21/1.69 % (3675791)Instruction limit reached!
% 7.21/1.69 % (3675791)------------------------------
% 7.21/1.69 % (3675791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/1.69 % (3675791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.69 % (3675791)CaDiCaL version: 2.1.3
% 7.21/1.69 % (3675791)Termination reason: Instruction limit
% 7.21/1.69 % (3675791)Termination phase: Saturation
% 7.21/1.69 % (3675791)Time elapsed: 0.072 s
% 7.21/1.69 % (3675791)Peak memory usage: 13 MB
% 7.21/1.69 % (3675791)Instructions burned: 117 (million)
% 7.21/1.69 % TRYING [1]
% 7.21/1.69 % TRYING [2]
% 7.21/1.69 % (3675792)Instruction limit reached!
% 7.21/1.69 % (3675792)------------------------------
% 7.21/1.69 % (3675792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/1.69 % (3675792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.69 % (3675792)CaDiCaL version: 2.1.3
% 7.21/1.69 % (3675792)Termination reason: Instruction limit
% 7.21/1.69 % (3675792)Termination phase: Saturation
% 7.21/1.69 % (3675792)Time elapsed: 0.077 s
% 7.21/1.69 % (3675792)Peak memory usage: 13 MB
% 7.21/1.69 % (3675792)Instructions burned: 132 (million)
% 7.21/1.69 % TRYING [3]
% 7.21/1.69 % (3675802)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3752696910:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.21/1.69 % (3675804)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1053619042:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.21/1.69 % (3675805)ott-21_1_sil=16000:fs=off:random_seed=1839853917:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.21/1.69 % TRYING [4]
% 7.21/1.69 % (3675802)Instruction limit reached!
% 7.21/1.69 % (3675802)------------------------------
% 7.21/1.69 % (3675802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/1.69 % (3675802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.34 % (3675802)CaDiCaL version: 2.1.3
% 34.53/5.34 % (3675802)Termination reason: Instruction limit
% 34.53/5.34 % (3675802)Termination phase: Saturation
% 34.53/5.34 % (3675802)Time elapsed: 0.063 s
% 34.53/5.34 % (3675802)Peak memory usage: 12 MB
% 34.53/5.34 % (3675802)Instructions burned: 132 (million)
% 34.53/5.34 % (3675809)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1756121599:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 34.53/5.34 % (3675805)Instruction limit reached!
% 34.53/5.34 % (3675805)------------------------------
% 34.53/5.34 % (3675805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.34 % (3675805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.34 % (3675805)CaDiCaL version: 2.1.3
% 34.53/5.34 % (3675805)Termination reason: Instruction limit
% 34.53/5.34 % (3675805)Termination phase: Saturation
% 34.53/5.34 % (3675805)Time elapsed: 0.099 s
% 34.53/5.34 % (3675805)Peak memory usage: 13 MB
% 34.53/5.34 % (3675805)Instructions burned: 180 (million)
% 34.53/5.34 % (3675811)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=204475578:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 34.53/5.34 % TRYING [1]
% 34.53/5.34 % TRYING [2]
% 34.53/5.34 % (3675801)Instruction limit reached!
% 34.53/5.34 % (3675801)------------------------------
% 34.53/5.34 % (3675801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.34 % (3675801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.34 % (3675801)CaDiCaL version: 2.1.3
% 34.53/5.34 % (3675801)Termination reason: Instruction limit
% 34.53/5.34 % (3675801)Termination phase: Finite model building constraint generation
% 34.53/5.34 % (3675801)Time elapsed: 0.161 s
% 34.53/5.34 % (3675801)Peak memory usage: 42 MB
% 34.53/5.34 % (3675801)Instructions burned: 716 (million)
% 34.53/5.34 % TRYING [3]
% 34.53/5.34 % (3675813)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2896305818:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 34.53/5.34 % TRYING [4]
% 34.53/5.34 % TRYING [5]
% 34.53/5.34 % (3675804)Instruction limit reached!
% 34.53/5.34 % (3675804)------------------------------
% 34.53/5.34 % (3675804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.34 % (3675804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.34 % (3675804)CaDiCaL version: 2.1.3
% 34.53/5.34 % (3675804)Termination reason: Instruction limit
% 34.53/5.34 % (3675804)Termination phase: Saturation
% 34.53/5.34 % (3675804)Time elapsed: 0.386 s
% 34.53/5.34 % (3675804)Peak memory usage: 17 MB
% 34.53/5.34 % (3675804)Instructions burned: 684 (million)
% 34.53/5.34 % (3675809)Instruction limit reached!
% 34.53/5.34 % (3675809)------------------------------
% 34.53/5.34 % (3675809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.34 % (3675809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.34 % (3675809)CaDiCaL version: 2.1.3
% 34.53/5.34 % (3675809)Termination reason: Instruction limit
% 34.53/5.34 % (3675809)Termination phase: Saturation
% 34.53/5.34 % (3675809)Time elapsed: 0.313 s
% 34.53/5.34 % (3675809)Peak memory usage: 15 MB
% 34.53/5.34 % (3675809)Instructions burned: 477 (million)
% 34.53/5.34 % (3675815)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3746606777:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 34.53/5.34 % (3675816)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=372553108:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 34.53/5.34 % (3675811)Instruction limit reached!
% 34.53/5.34 % (3675811)------------------------------
% 34.53/5.34 % (3675811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.34 % (3675811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.34 % (3675811)CaDiCaL version: 2.1.3
% 34.53/5.34 % (3675811)Termination reason: Instruction limit
% 34.53/5.34 % (3675811)Termination phase: Finite model building constraint generation
% 34.53/5.34 % (3675811)Time elapsed: 0.340 s
% 34.53/5.34 % (3675811)Peak memory usage: 43 MB
% 34.53/5.34 % (3675811)Instructions burned: 866 (million)
% 34.53/5.34 % (3675813)Instruction limit reached!
% 34.53/5.34 % (3675813)------------------------------
% 34.53/5.34 % (3675813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.34 % (3675813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.03/9.62 % (3675813)CaDiCaL version: 2.1.3
% 65.03/9.62 % (3675813)Termination reason: Instruction limit
% 65.03/9.62 % (3675813)Termination phase: Saturation
% 65.03/9.62 % (3675813)Time elapsed: 0.323 s
% 65.03/9.62 % (3675813)Peak memory usage: 20 MB
% 65.03/9.62 % (3675813)Instructions burned: 1181 (million)
% 65.03/9.62 % (3675820)fmb+10_1_sil=64000:random_seed=276036601:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 65.03/9.62 % (3675819)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1563375669:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 65.03/9.62 % TRYING [1]
% 65.03/9.62 % TRYING [2]
% 65.03/9.62 % TRYING [3]
% 65.03/9.62 % TRYING [4]
% 65.03/9.62 % (3675816)Instruction limit reached!
% 65.03/9.62 % (3675816)------------------------------
% 65.03/9.62 % (3675816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.03/9.62 % (3675816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.03/9.62 % (3675816)CaDiCaL version: 2.1.3
% 65.03/9.62 % (3675816)Termination reason: Instruction limit
% 65.03/9.62 % (3675816)Termination phase: Saturation
% 65.03/9.62 % (3675816)Time elapsed: 0.354 s
% 65.03/9.62 % (3675816)Peak memory usage: 21 MB
% 65.03/9.62 % (3675816)Instructions burned: 692 (million)
% 65.03/9.62 % (3675823)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2674693902:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 65.03/9.62 % (3675823)Cannot represent all propositional literals internally
% 65.03/9.62 % (3675823)Refutation not found, incomplete strategy
% 65.03/9.62 % (3675823)------------------------------
% 65.03/9.62 % (3675823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.03/9.62 % (3675823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.03/9.62 % (3675823)CaDiCaL version: 2.1.3
% 65.03/9.62 % (3675823)Termination reason: Refutation not found, incomplete strategy
% 65.03/9.62 % (3675823)Time elapsed: 0.006 s
% 65.03/9.62 % (3675823)Peak memory usage: 10 MB
% 65.03/9.62 % (3675823)Instructions burned: 11 (million)
% 65.03/9.62 % (3675823)------------------------------
% 65.03/9.62 % (3675823)------------------------------
% 65.03/9.62 % (3675815)Instruction limit reached!
% 65.03/9.62 % (3675815)------------------------------
% 65.03/9.62 % (3675815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.03/9.62 % (3675815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.03/9.62 % (3675815)CaDiCaL version: 2.1.3
% 65.03/9.62 % (3675815)Termination reason: Instruction limit
% 65.03/9.62 % (3675815)Termination phase: Finite model building constraint generation
% 65.03/9.62 % (3675815)Time elapsed: 0.404 s
% 65.03/9.62 % (3675815)Peak memory usage: 107 MB
% 65.03/9.62 % (3675815)Instructions burned: 891 (million)
% 65.03/9.62 % (3675825)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1908302436:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 65.03/9.62 % TRYING [8]
% 65.03/9.62 % (3675827)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4229996868:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 65.03/9.62 % TRYING [5]
% 65.03/9.62 % (3675819)Instruction limit reached!
% 65.03/9.62 % (3675819)------------------------------
% 65.03/9.62 % (3675819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.03/9.62 % (3675819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.03/9.62 % (3675819)CaDiCaL version: 2.1.3
% 65.03/9.62 % (3675819)Termination reason: Instruction limit
% 65.03/9.62 % (3675819)Termination phase: Saturation
% 65.03/9.62 % (3675819)Time elapsed: 0.506 s
% 65.03/9.62 % (3675819)Peak memory usage: 19 MB
% 65.03/9.62 % (3675819)Instructions burned: 880 (million)
% 65.03/9.62 % (3675829)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1725640332:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 65.03/9.62 % (3675825)Instruction limit reached!
% 65.03/9.62 % (3675825)------------------------------
% 65.03/9.62 % (3675825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.03/9.62 % (3675825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.03/9.62 % (3675825)CaDiCaL version: 2.1.3
% 65.03/9.62 % (3675825)Termination reason: Instruction limit
% 65.03/9.62 % (3675825)Termination phase: Finite model building constraint generation
% 65.03/9.62 % (3675825)Time elapsed: 0.303 s
% 65.03/9.62 % (3675825)Peak memory usage: 61 MB
% 65.03/9.62 % (3675825)Instructions burned: 922 (million)
% 65.03/9.62 % (3675831)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2740139314:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 184.92/26.54 % (3675831)Cannot represent all propositional literals internally
% 184.92/26.54 % (3675831)Refutation not found, incomplete strategy
% 184.92/26.54 % (3675831)------------------------------
% 184.92/26.54 % (3675831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 184.92/26.54 % (3675831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 184.92/26.54 % (3675831)CaDiCaL version: 2.1.3
% 184.92/26.54 % (3675831)Termination reason: Refutation not found, incomplete strategy
% 184.92/26.54 % (3675831)Time elapsed: 0.006 s
% 184.92/26.54 % (3675831)Peak memory usage: 11 MB
% 184.92/26.54 % (3675831)Instructions burned: 11 (million)
% 184.92/26.54 % (3675831)------------------------------
% 184.92/26.54 % (3675831)------------------------------
% 184.92/26.54 % (3675833)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=549098144:fmbsr=2.30978:i=2174_2987 on theBenchmark for (2987ds/2174Mi)
% 184.92/26.54 % TRYING [16]
% 184.92/26.54 % (3675829)Instruction limit reached!
% 184.92/26.54 % (3675829)------------------------------
% 184.92/26.54 % (3675829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 184.92/26.54 % (3675829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 184.92/26.54 % (3675829)CaDiCaL version: 2.1.3
% 184.92/26.54 % (3675829)Termination reason: Instruction limit
% 184.92/26.54 % (3675829)Termination phase: Saturation
% 184.92/26.54 % (3675829)Time elapsed: 0.795 s
% 184.92/26.54 % (3675829)Peak memory usage: 30 MB
% 184.92/26.54 % (3675829)Instructions burned: 1474 (million)
% 184.92/26.54 % (3675835)ott-2_1_sil=16000:newcnf=on:random_seed=3980344708:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2980 on theBenchmark for (2980ds/869Mi)
% 184.92/26.54 % (3675833)Instruction limit reached!
% 184.92/26.54 % (3675833)------------------------------
% 184.92/26.54 % (3675833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 184.92/26.54 % (3675833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 184.92/26.54 % (3675833)CaDiCaL version: 2.1.3
% 184.92/26.54 % (3675833)Termination reason: Instruction limit
% 184.92/26.54 % (3675833)Termination phase: Finite model building constraint generation
% 184.92/26.54 % (3675833)Time elapsed: 0.743 s
% 184.92/26.54 % (3675833)Peak memory usage: 140 MB
% 184.92/26.54 % (3675833)Instructions burned: 2176 (million)
% 184.92/26.54 % (3675837)ott+10_1_sil=32000:tgt=ground:random_seed=3055472064:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 184.92/26.54 % (3675835)Instruction limit reached!
% 184.92/26.54 % (3675835)------------------------------
% 184.92/26.54 % (3675835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 184.92/26.54 % (3675835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 184.92/26.54 % (3675835)CaDiCaL version: 2.1.3
% 184.92/26.54 % (3675835)Termination reason: Instruction limit
% 184.92/26.54 % (3675835)Termination phase: Saturation
% 184.92/26.54 % (3675835)Time elapsed: 0.480 s
% 184.92/26.54 % (3675835)Peak memory usage: 21 MB
% 184.92/26.54 % (3675835)Instructions burned: 870 (million)
% 184.92/26.54 % (3675839)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4001942562:i=54282_2975 on theBenchmark for (2975ds/54282Mi)
% 184.92/26.54 % TRYING [1]
% 184.92/26.54 % TRYING [2]
% 184.92/26.54 % TRYING [3]
% 184.92/26.54 % TRYING [4]
% 184.92/26.54 % TRYING [5]
% 184.92/26.54 % TRYING [6]
% 184.92/26.54 % TRYING [6]
% 184.92/26.54 % (3675827)Instruction limit reached!
% 184.92/26.54 % (3675827)------------------------------
% 184.92/26.54 % (3675827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 184.92/26.54 % (3675827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 184.92/26.54 % (3675827)CaDiCaL version: 2.1.3
% 184.92/26.54 % (3675827)Termination reason: Instruction limit
% 184.92/26.54 % (3675827)Termination phase: Saturation
% 184.92/26.54 % (3675827)Time elapsed: 2.657 s
% 184.92/26.54 % (3675827)Peak memory usage: 31 MB
% 184.92/26.54 % (3675827)Instructions burned: 5131 (million)
% 184.92/26.54 % (3675841)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=234369891:i=3512:aac=none_2963 on theBenchmark for (2963ds/3512Mi)
% 184.92/26.54 % (3675837)Instruction limit reached!
% 184.92/26.54 % (3675837)------------------------------
% 184.92/26.54 % (3675837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 184.92/26.54 % (3675837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 184.92/26.54 % (3675837)CaDiCaL version: 2.1.3
% 184.92/26.54 % (3675837)Termination reason: Instruction limit
% 184.92/26.54 % (3675837)Termination phase: Saturation
% 184.92/26.54 % (3675837)Time elapsed: 2.841 s
% 184.92/26.54 % (3675837)Peak memory usage: 49 MB
% 266.88/39.68 % (3675837)Instructions burned: 5114 (million)
% 266.88/39.68 % (3675843)dis+21_1_sil=32000:sas=cadical:random_seed=106697825:i=3773:amm=off_2950 on theBenchmark for (2950ds/3773Mi)
% 266.88/39.68 % TRYING [6]
% 266.88/39.68 % (3675841)Instruction limit reached!
% 266.88/39.68 % (3675841)------------------------------
% 266.88/39.68 % (3675841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 266.88/39.68 % (3675841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 266.88/39.68 % (3675841)CaDiCaL version: 2.1.3
% 266.88/39.68 % (3675841)Termination reason: Instruction limit
% 266.88/39.68 % (3675841)Termination phase: Saturation
% 266.88/39.68 % (3675841)Time elapsed: 1.975 s
% 266.88/39.68 % (3675841)Peak memory usage: 29 MB
% 266.88/39.68 % (3675841)Instructions burned: 3512 (million)
% 266.88/39.68 % (3675845)ott+11_1_sil=16000:gs=on:random_seed=1680670971:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2943 on theBenchmark for (2943ds/2251Mi)
% 266.88/39.68 % (3675845)Instruction limit reached!
% 266.88/39.68 % (3675845)------------------------------
% 266.88/39.68 % (3675845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 266.88/39.68 % (3675845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 266.88/39.68 % (3675845)CaDiCaL version: 2.1.3
% 266.88/39.68 % (3675845)Termination reason: Instruction limit
% 266.88/39.68 % (3675845)Termination phase: Saturation
% 266.88/39.68 % (3675845)Time elapsed: 0.963 s
% 266.88/39.68 % (3675845)Peak memory usage: 18 MB
% 266.88/39.68 % (3675845)Instructions burned: 2252 (million)
% 266.88/39.68 % (3675847)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1354371500:fmbsr=1.6:i=67534_2933 on theBenchmark for (2933ds/67534Mi)
% 266.88/39.68 % (3675820)Instruction limit reached!
% 266.88/39.68 % (3675820)------------------------------
% 266.88/39.68 % (3675820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 266.88/39.68 % (3675820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 266.88/39.68 % (3675820)CaDiCaL version: 2.1.3
% 266.88/39.68 % (3675820)Termination reason: Instruction limit
% 266.88/39.68 % (3675820)Termination phase: Finite model building constraint generation
% 266.88/39.68 % (3675820)Time elapsed: 6.125 s
% 266.88/39.68 % (3675820)Peak memory usage: 649 MB
% 266.88/39.68 % (3675820)Instructions burned: 22064 (million)
% 266.88/39.68 % (3675849)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2019052665:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2932 on theBenchmark for (2932ds/4591Mi)
% 266.88/39.68 % (3675843)Instruction limit reached!
% 266.88/39.68 % (3675843)------------------------------
% 266.88/39.68 % (3675843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 266.88/39.68 % (3675843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 266.88/39.68 % (3675843)CaDiCaL version: 2.1.3
% 266.88/39.68 % (3675843)Termination reason: Instruction limit
% 266.88/39.68 % (3675843)Termination phase: Saturation
% 266.88/39.68 % (3675843)Time elapsed: 2.032 s
% 266.88/39.68 % (3675843)Peak memory usage: 35 MB
% 266.88/39.68 % (3675843)Instructions burned: 3773 (million)
% 266.88/39.68 % (3675851)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=977615084:i=29340_2930 on theBenchmark for (2930ds/29340Mi)
% 266.88/39.68 % TRYING [7]
% 266.88/39.68 % (3675849)Instruction limit reached!
% 266.88/39.68 % (3675849)------------------------------
% 266.88/39.68 % (3675849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 266.88/39.68 % (3675849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 266.88/39.68 % (3675849)CaDiCaL version: 2.1.3
% 266.88/39.68 % (3675849)Termination reason: Instruction limit
% 266.88/39.68 % (3675849)Termination phase: Saturation
% 266.88/39.68 % (3675849)Time elapsed: 1.105 s
% 266.88/39.68 % (3675849)Peak memory usage: 36 MB
% 266.88/39.68 % (3675849)Instructions burned: 4595 (million)
% 266.88/39.68 % (3675853)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1250362651:i=5211_2921 on theBenchmark for (2921ds/5211Mi)
% 266.88/39.68 % (3675853)Instruction limit reached!
% 266.88/39.68 % (3675853)------------------------------
% 266.88/39.68 % (3675853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 266.88/39.68 % (3675853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 266.88/39.68 % (3675853)CaDiCaL version: 2.1.3
% 266.88/39.68 % (3675853)Termination reason: Instruction limit
% 266.88/39.68 % (3675853)Termination phase: Saturation
% 266.88/39.68 % (3675853)Time elapsed: 1.280 s
% 266.88/39.68 % (3675853)Peak memory usage: 47 MB
% 266.88/39.68 % (3675853)Instructions burned: 5217 (million)
% 166.20/42.20 % (3675855)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1874068712:i=5497:nm=2_2908 on theBenchmark for (2908ds/5497Mi)
% 166.20/42.20 % TRYING [17]
% 166.20/42.20 % (3675855)Instruction limit reached!
% 166.20/42.20 % (3675855)------------------------------
% 166.20/42.20 % (3675855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675855)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675855)Termination reason: Instruction limit
% 166.20/42.20 % (3675855)Termination phase: Finite model building constraint generation
% 166.20/42.20 % (3675855)Time elapsed: 1.025 s
% 166.20/42.20 % (3675855)Peak memory usage: 317 MB
% 166.20/42.20 % (3675855)Instructions burned: 5498 (million)
% 166.20/42.20 % (3675857)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1497367197:fmbsr=2:i=46332_2897 on theBenchmark for (2897ds/46332Mi)
% 166.20/42.20 % TRYING [15]
% 166.20/42.20 % (3675857)Instruction limit reached!
% 166.20/42.20 % (3675857)------------------------------
% 166.20/42.20 % (3675857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675857)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675857)Termination reason: Instruction limit
% 166.20/42.20 % (3675857)Termination phase: Finite model building constraint generation
% 166.20/42.20 % (3675857)Time elapsed: 7.739 s
% 166.20/42.20 % (3675857)Peak memory usage: 1650 MB
% 166.20/42.20 % (3675857)Instructions burned: 46338 (million)
% 166.20/42.20 % (3675859)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2818063812:i=14071_2818 on theBenchmark for (2818ds/14071Mi)
% 166.20/42.20 % TRYING [12]
% 166.20/42.20 % (3675851)Instruction limit reached!
% 166.20/42.20 % (3675851)------------------------------
% 166.20/42.20 % (3675851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675851)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675851)Termination reason: Instruction limit
% 166.20/42.20 % (3675851)Termination phase: Saturation
% 166.20/42.20 % (3675851)Time elapsed: 12.987 s
% 166.20/42.20 % (3675851)Peak memory usage: 387 MB
% 166.20/42.20 % (3675851)Instructions burned: 29342 (million)
% 166.20/42.20 % (3675861)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3061111498:i=22565:add=on:rawr=on_2799 on theBenchmark for (2799ds/22565Mi)
% 166.20/42.20 % (3675859)Instruction limit reached!
% 166.20/42.20 % (3675859)------------------------------
% 166.20/42.20 % (3675859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675859)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675859)Termination reason: Instruction limit
% 166.20/42.20 % (3675859)Termination phase: Finite model building constraint generation
% 166.20/42.20 % (3675859)Time elapsed: 2.626 s
% 166.20/42.20 % (3675859)Peak memory usage: 775 MB
% 166.20/42.20 % (3675859)Instructions burned: 14073 (million)
% 166.20/42.20 % (3675863)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=56761439:i=8173:av=off_2791 on theBenchmark for (2791ds/8173Mi)
% 166.20/42.20 % (3675863)Instruction limit reached!
% 166.20/42.20 % (3675863)------------------------------
% 166.20/42.20 % (3675863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675863)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675863)Termination reason: Instruction limit
% 166.20/42.20 % (3675863)Termination phase: Saturation
% 166.20/42.20 % (3675863)Time elapsed: 2.614 s
% 166.20/42.20 % (3675863)Peak memory usage: 96 MB
% 166.20/42.20 % (3675863)Instructions burned: 8176 (million)
% 166.20/42.20 % (3675865)dis+10_16:1_sil=16000:random_seed=3602821103:i=9155:fsr=off_2765 on theBenchmark for (2765ds/9155Mi)
% 166.20/42.20 % (3675865)Instruction limit reached!
% 166.20/42.20 % (3675865)------------------------------
% 166.20/42.20 % (3675865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675865)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675865)Termination reason: Instruction limit
% 166.20/42.20 % (3675865)Termination phase: Saturation
% 166.20/42.20 % (3675865)Time elapsed: 2.643 s
% 166.20/42.20 % (3675865)Peak memory usage: 56 MB
% 166.20/42.20 % (3675865)Instructions burned: 9158 (million)
% 166.20/42.20 % (3675867)ott-3_8_sil=64000:random_seed=3416791513:i=20139:bs=on_2738 on theBenchmark for (2738ds/20139Mi)
% 166.20/42.20 % (3675861)Instruction limit reached!
% 166.20/42.20 % (3675861)------------------------------
% 166.20/42.20 % (3675861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675861)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675861)Termination reason: Instruction limit
% 166.20/42.20 % (3675861)Termination phase: Saturation
% 166.20/42.20 % (3675861)Time elapsed: 8.284 s
% 166.20/42.20 % (3675861)Peak memory usage: 70 MB
% 166.20/42.20 % (3675861)Instructions burned: 22567 (million)
% 166.20/42.20 % (3675869)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=1828576896:fmbsr=2:i=32576_2716 on theBenchmark for (2716ds/32576Mi)
% 166.20/42.20 % TRYING [9]
% 166.20/42.20 % (3675839)Instruction limit reached!
% 166.20/42.20 % (3675839)------------------------------
% 166.20/42.20 % (3675839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675839)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675839)Termination reason: Instruction limit
% 166.20/42.20 % (3675839)Termination phase: Finite model building SAT solving
% 166.20/42.20 % (3675839)Time elapsed: 26.107 s
% 166.20/42.20 % (3675839)Peak memory usage: 1423 MB
% 166.20/42.20 % (3675839)Instructions burned: 54282 (million)
% 166.20/42.20 % (3675871)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1170269322:i=11404_2712 on theBenchmark for (2712ds/11404Mi)
% 166.20/42.20 % (3675867)Instruction limit reached!
% 166.20/42.20 % (3675867)------------------------------
% 166.20/42.20 % (3675867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675867)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675867)Termination reason: Instruction limit
% 166.20/42.20 % (3675867)Termination phase: Saturation
% 166.20/42.20 % (3675867)Time elapsed: 6.937 s
% 166.20/42.20 % (3675867)Peak memory usage: 45 MB
% 166.20/42.20 % (3675867)Instructions burned: 20139 (million)
% 166.20/42.20 % (3675873)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=4218482665:i=14134_2669 on theBenchmark for (2669ds/14134Mi)
% 166.20/42.20 % (3675871)Instruction limit reached!
% 166.20/42.20 % (3675871)------------------------------
% 166.20/42.20 % (3675871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675871)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675871)Termination reason: Instruction limit
% 166.20/42.20 % (3675871)Termination phase: Saturation
% 166.20/42.20 % (3675871)Time elapsed: 6.297 s
% 166.20/42.20 % (3675871)Peak memory usage: 76 MB
% 166.20/42.20 % (3675871)Instructions burned: 11405 (million)
% 166.20/42.20 % (3675875)dis+33_16_sil=32000:sac=on:random_seed=3890863:i=15851:nm=0_2649 on theBenchmark for (2649ds/15851Mi)
% 166.20/42.20 % (3675873)Instruction limit reached!
% 166.20/42.20 % (3675873)------------------------------
% 166.20/42.20 % (3675873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675873)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675873)Termination reason: Instruction limit
% 166.20/42.20 % (3675873)Termination phase: Saturation
% 166.20/42.20 % (3675873)Time elapsed: 4.694 s
% 166.20/42.20 % (3675873)Peak memory usage: 65 MB
% 166.20/42.20 % (3675873)Instructions burned: 14136 (million)
% 166.20/42.20 % (3675877)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=200540703:avsq=on:i=17627:add=on:amm=off_2622 on theBenchmark for (2622ds/17627Mi)
% 166.20/42.20 % (3675869)Instruction limit reached!
% 166.20/42.20 % (3675869)------------------------------
% 166.20/42.20 % (3675869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675869)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675869)Termination reason: Instruction limit
% 166.20/42.20 % (3675869)Termination phase: Finite model building constraint generation
% 166.20/42.20 % (3675869)Time elapsed: 10.697 s
% 166.20/42.20 % (3675869)Peak memory usage: 1414 MB
% 166.20/42.20 % (3675869)Instructions burned: 32576 (million)
% 166.20/42.20 % (3675879)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=1350903465:s2a=on:i=53295_2607 on theBenchmark for (2607ds/53295Mi)
% 166.20/42.20 % TRYING [7]
% 166.20/42.20 % (3675877) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3675782-3675877"...
% 166.20/42.20 % (3675877)...printing done.
% 166.20/42.20 % (3675877)Refutation found. Thanks to Tanya!
% 166.20/42.20 % SZS status Theorem for theBenchmark
% 166.20/42.20 % SZS output start Proof for theBenchmark
% See solution above
% 166.20/42.20 % (3675877)------------------------------
% 166.20/42.20 % (3675877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 166.20/42.20 % (3675877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.20/42.20 % (3675877)CaDiCaL version: 2.1.3
% 166.20/42.20 % (3675877)Termination reason: Refutation
% 166.20/42.20 % (3675877)Time elapsed: 3.604 s
% 166.20/42.20 % (3675877)Peak memory usage: 91 MB
% 166.20/42.20 % (3675877)Instructions burned: 10155 (million)
% 166.20/42.20 % (3675782)Success in time 41.772 s
% 166.20/42.20 % Vampire exiting
%------------------------------------------------------------------------------