%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n006.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 8.49s 2.50s
% Output : Refutation 12.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 25
% Syntax : Number of formulae : 181 ( 20 unt; 9 def)
% Number of atoms : 709 ( 71 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 901 ( 373 ~; 387 |; 104 &)
% ( 18 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 10 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-6 aty)
% Number of variables : 283 ( 0 sgn 269 !; 14 ?)
% 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(f3,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_orders_2(X0)
=> X0 = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
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(f37,axiom,
! [X0,X1] :
( m1_relset_1(X1,X0,X0)
=> ! [X2,X3] :
( g1_orders_2(X0,X1) = g1_orders_2(X2,X3)
=> ( X0 = X2
& X1 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f43,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
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(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(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(f67,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(f68,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,[],[f67]) ).
fof(f69,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(f70,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(f71,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,[],[f70]) ).
fof(f73,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(f74,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,[],[f73]) ).
fof(f75,plain,
! [X0] :
( X0 = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f76,plain,
! [X0] :
( X0 = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f75]) ).
fof(f78,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(f79,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(f80,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f82,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f86,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(f92,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X0 = X2
& X1 = X3 )
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3) )
| ~ m1_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f37]) ).
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,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(f101,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,[],[f100]) ).
fof(f103,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,[],[f74]) ).
fof(f104,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,[],[f103]) ).
fof(f105,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(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(flattening,[],[f105]) ).
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) ) ) )
& ( ! [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,[],[f106]) ).
fof(f108,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))],[f107]) ).
fof(f109,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(f110,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,[],[f109]) ).
fof(f111,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,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK6(X0,X1,X2),X0)
& ~ r2_hidden(sK6(X0,X1,X2),X1) )
| ~ r2_hidden(sK6(X0,X1,X2),X2) )
& ( r2_hidden(sK6(X0,X1,X2),X0)
| r2_hidden(sK6(X0,X1,X2),X1)
| r2_hidden(sK6(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,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f111]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f43]) ).
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(f127,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,[],[f68]) ).
fof(f128,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X1,X3) ),
inference(cnf_transformation,[],[f101]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f132,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f133,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f134,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f138,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,[],[f104]) ).
fof(f140,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = X0
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f144,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f148,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,[],[f108]) ).
fof(f152,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,[],[f112]) ).
fof(f161,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,[],[f86]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| X1 = X3
| ~ m1_relset_1(X1,X0,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f180,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f6]) ).
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,[],[f138]) ).
fof(f190,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f148]) ).
fof(f195,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f152]) ).
fof(f197,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(f199,plain,
( ~ r2_hidden(sK1,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
| spl12_1 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,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(f203,plain,
( ~ r2_hidden(sK0,k4_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)))
| spl12_2 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f121,f201,f197]) ).
fof(f206,definition,
( spl12_3
<=> r2_hidden(sK1,u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f208,plain,
( ~ r2_hidden(sK1,u1_struct_0(sK3))
| spl12_3 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f210,definition,
( spl12_4
<=> r2_hidden(sK0,u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f211,plain,
( r2_hidden(sK0,u1_struct_0(sK3))
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f212,plain,
( ~ r2_hidden(sK0,u1_struct_0(sK3))
| spl12_4 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f213,plain,
( ~ spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f122,f210,f206]) ).
fof(f215,definition,
( spl12_5
<=> r2_hidden(sK1,u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f219,definition,
( spl12_6
<=> r2_hidden(sK0,u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f220,plain,
( r2_hidden(sK0,u1_struct_0(sK2))
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f221,plain,
( ~ r2_hidden(sK0,u1_struct_0(sK2))
| spl12_6 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f222,plain,
( ~ spl12_5
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f123,f219,f215]) ).
fof(f223,plain,
( ~ r2_hidden(sK1,u1_struct_0(sK3))
| r2_hidden(sK1,u1_struct_0(sK2))
| spl12_1 ),
inference(resolution,[],[f190,f199]) ).
fof(f224,plain,
( spl12_5
| ~ spl12_3
| spl12_1 ),
inference(avatar_split_clause,[],[f223,f197,f206,f215]) ).
fof(f225,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,[],[f124,f127]) ).
fof(f226,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,[],[f225,f125]) ).
fof(f227,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,[],[f226,f120]) ).
fof(f228,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,[],[f227,f119]) ).
fof(f243,plain,
! [X0,X1] :
( k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X1,X0))
| ~ v1_orders_2(k1_latsum_1(X1,X0))
| ~ l1_orders_2(k1_latsum_1(X1,X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(superposition,[],[f188,f180]) ).
fof(f246,plain,
! [X0,X1] :
( k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X1,X0))
| ~ l1_orders_2(k1_latsum_1(X1,X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(forward_subsumption_resolution,[],[f243,f134]) ).
fof(f250,plain,
! [X0,X1] :
( k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X1,X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(forward_subsumption_resolution,[],[f246,f133]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| r2_hidden(X2,u1_struct_0(X0))
| r2_hidden(X2,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(superposition,[],[f195,f250]) ).
fof(f319,plain,
! [X0] :
( m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f132,f168]) ).
fof(f435,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X0,X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(resolution,[],[f143,f161]) ).
fof(f436,plain,
! [X2,X0,X1] :
( g1_orders_2(X1,X2) != X0
| u1_orders_2(X0) = X2
| ~ m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(superposition,[],[f173,f140]) ).
fof(f439,plain,
! [X2,X0,X1] :
( g1_orders_2(X1,X2) != X0
| u1_orders_2(X0) = X2
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f436,f319]) ).
fof(f455,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,k2_zfmisc_1(X2,X3))
| ~ m2_relset_1(X1,X2,X3)
| ~ r2_hidden(X0,X1)
| v1_xboole_0(k2_zfmisc_1(X2,X3)) ),
inference(resolution,[],[f435,f144]) ).
fof(f482,plain,
! [X2,X3,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X0,X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(resolution,[],[f142,f161]) ).
fof(f508,plain,
! [X0,X1] :
( u1_orders_2(X0) = u1_orders_2(X1)
| X0 != X1
| ~ v1_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(superposition,[],[f439,f140]) ).
fof(f1409,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| r2_hidden(X2,u1_struct_0(sK3))
| ~ r2_hidden(X1,u1_struct_0(sK3))
| k1_latsum_1(sK2,sK3) != X0
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v1_orders_2(k1_latsum_1(sK2,sK3))
| ~ l1_orders_2(k1_latsum_1(sK2,sK3)) ),
inference(superposition,[],[f228,f508]) ).
fof(f1570,definition,
( spl12_26
<=> l1_orders_2(k1_latsum_1(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl12_26])],[avatar_definition]) ).
fof(f1571,plain,
( l1_orders_2(k1_latsum_1(sK2,sK3))
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1572,plain,
( ~ l1_orders_2(k1_latsum_1(sK2,sK3))
| spl12_26 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1574,definition,
( spl12_27
<=> v1_orders_2(k1_latsum_1(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl12_27])],[avatar_definition]) ).
fof(f1575,plain,
( v1_orders_2(k1_latsum_1(sK2,sK3))
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1576,plain,
( ~ v1_orders_2(k1_latsum_1(sK2,sK3))
| spl12_27 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1582,definition,
( spl12_29
<=> ! [X2,X0,X1] :
( ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ l1_orders_2(X0)
| ~ v1_orders_2(X0)
| k1_latsum_1(sK2,sK3) != X0
| ~ r2_hidden(X1,u1_struct_0(sK3))
| r2_hidden(X2,u1_struct_0(sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl12_29])],[avatar_definition]) ).
fof(f1583,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ l1_orders_2(X0)
| ~ v1_orders_2(X0)
| k1_latsum_1(sK2,sK3) != X0
| ~ r2_hidden(X1,u1_struct_0(sK3))
| r2_hidden(X2,u1_struct_0(sK3)) )
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1595,plain,
( ~ spl12_26
| ~ spl12_27
| spl12_29 ),
inference(avatar_split_clause,[],[f1409,f1582,f1574,f1570]) ).
fof(f1616,plain,
( ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| spl12_26 ),
inference(resolution,[],[f1572,f133]) ).
fof(f1617,plain,
( ~ l1_orders_2(sK3)
| spl12_26 ),
inference(forward_subsumption_resolution,[],[f1616,f119]) ).
fof(f1618,plain,
( $false
| spl12_26 ),
inference(forward_subsumption_resolution,[],[f1617,f120]) ).
fof(f1619,plain,
spl12_26,
inference(avatar_contradiction_clause,[],[f1618]) ).
fof(f1620,plain,
( ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| spl12_27 ),
inference(resolution,[],[f1576,f134]) ).
fof(f1621,plain,
( ~ l1_orders_2(sK3)
| spl12_27 ),
inference(forward_subsumption_resolution,[],[f1620,f119]) ).
fof(f1622,plain,
( $false
| spl12_27 ),
inference(forward_subsumption_resolution,[],[f1621,f120]) ).
fof(f1623,plain,
spl12_27,
inference(avatar_contradiction_clause,[],[f1622]) ).
fof(f1643,plain,
( ~ l1_orders_2(k1_latsum_1(sK2,sK3))
| ~ v1_orders_2(k1_latsum_1(sK2,sK3))
| k1_latsum_1(sK2,sK3) != k1_latsum_1(sK2,sK3)
| ~ r2_hidden(sK0,u1_struct_0(sK3))
| r2_hidden(sK1,u1_struct_0(sK3))
| ~ spl12_29 ),
inference(resolution,[],[f1583,f126]) ).
fof(f1654,plain,
( ~ l1_orders_2(k1_latsum_1(sK2,sK3))
| ~ v1_orders_2(k1_latsum_1(sK2,sK3))
| ~ r2_hidden(sK0,u1_struct_0(sK3))
| r2_hidden(sK1,u1_struct_0(sK3))
| ~ spl12_29 ),
inference(trivial_inequality_removal,[],[f1643]) ).
fof(f2388,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X0,X1,X2)
| ~ r2_hidden(k4_tarski(X3,X4),X0)
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| r2_hidden(X3,X1) ),
inference(resolution,[],[f455,f129]) ).
fof(f2389,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X0,X1,X2)
| ~ r2_hidden(k4_tarski(X3,X4),X0)
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| r2_hidden(X4,X2) ),
inference(resolution,[],[f455,f128]) ).
fof(f2391,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(X3,X4),X0)
| ~ m2_relset_1(X0,X1,X2)
| r2_hidden(X4,X2) ),
inference(forward_subsumption_resolution,[],[f2389,f482]) ).
fof(f2392,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(X3,X4),X0)
| ~ m2_relset_1(X0,X1,X2)
| r2_hidden(X3,X1) ),
inference(forward_subsumption_resolution,[],[f2388,f482]) ).
fof(f2393,plain,
! [X0,X1] :
( ~ m2_relset_1(u1_orders_2(k1_latsum_1(sK2,sK3)),X0,X1)
| r2_hidden(sK1,X1) ),
inference(resolution,[],[f2391,f126]) ).
fof(f2412,plain,
( r2_hidden(sK1,u1_struct_0(k1_latsum_1(sK2,sK3)))
| ~ l1_orders_2(k1_latsum_1(sK2,sK3)) ),
inference(resolution,[],[f2393,f132]) ).
fof(f2416,plain,
( r2_hidden(sK1,u1_struct_0(k1_latsum_1(sK2,sK3)))
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f2412,f1571]) ).
fof(f2424,plain,
( r2_hidden(sK1,u1_struct_0(sK2))
| r2_hidden(sK1,u1_struct_0(sK3))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ spl12_26 ),
inference(resolution,[],[f2416,f294]) ).
fof(f2430,plain,
( r2_hidden(sK1,u1_struct_0(sK2))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| spl12_3
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f2424,f208]) ).
fof(f2433,plain,
( r2_hidden(sK1,u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| spl12_3
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f2430,f120]) ).
fof(f2434,plain,
( r2_hidden(sK1,u1_struct_0(sK2))
| spl12_3
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f2433,f119]) ).
fof(f2435,plain,
( spl12_5
| spl12_3
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f2434,f1570,f206,f215]) ).
fof(f2439,plain,
! [X0,X1] :
( ~ m2_relset_1(u1_orders_2(k1_latsum_1(sK2,sK3)),X0,X1)
| r2_hidden(sK0,X0) ),
inference(resolution,[],[f2392,f126]) ).
fof(f2458,plain,
( r2_hidden(sK0,u1_struct_0(k1_latsum_1(sK2,sK3)))
| ~ l1_orders_2(k1_latsum_1(sK2,sK3)) ),
inference(resolution,[],[f2439,f132]) ).
fof(f2462,plain,
( r2_hidden(sK0,u1_struct_0(k1_latsum_1(sK2,sK3)))
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f2458,f1571]) ).
fof(f2470,plain,
( r2_hidden(sK0,u1_struct_0(sK2))
| r2_hidden(sK0,u1_struct_0(sK3))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ spl12_26 ),
inference(resolution,[],[f2462,f294]) ).
fof(f2476,plain,
( r2_hidden(sK0,u1_struct_0(sK3))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| spl12_6
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f2470,f221]) ).
fof(f2479,plain,
( ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| spl12_4
| spl12_6
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f2476,f212]) ).
fof(f2480,plain,
( ~ l1_orders_2(sK2)
| spl12_4
| spl12_6
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f2479,f120]) ).
fof(f2481,plain,
( $false
| spl12_4
| spl12_6
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f2480,f119]) ).
fof(f2482,plain,
( spl12_4
| spl12_6
| ~ spl12_26 ),
inference(avatar_contradiction_clause,[],[f2481]) ).
fof(f2486,plain,
( ~ v1_orders_2(k1_latsum_1(sK2,sK3))
| ~ r2_hidden(sK0,u1_struct_0(sK3))
| r2_hidden(sK1,u1_struct_0(sK3))
| ~ spl12_26
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f1654,f1571]) ).
fof(f2493,plain,
( ~ r2_hidden(sK0,u1_struct_0(sK3))
| r2_hidden(sK1,u1_struct_0(sK3))
| ~ spl12_26
| ~ spl12_27
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f2486,f1575]) ).
fof(f2497,plain,
( r2_hidden(sK1,u1_struct_0(sK3))
| ~ spl12_4
| ~ spl12_26
| ~ spl12_27
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f2493,f211]) ).
fof(f2501,plain,
( $false
| spl12_3
| ~ spl12_4
| ~ spl12_26
| ~ spl12_27
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f2497,f208]) ).
fof(f2502,plain,
( spl12_3
| ~ spl12_4
| ~ spl12_26
| ~ spl12_27
| ~ spl12_29 ),
inference(avatar_contradiction_clause,[],[f2501]) ).
fof(f2507,plain,
( ~ r2_hidden(sK0,u1_struct_0(sK2))
| r2_hidden(sK0,u1_struct_0(sK3))
| spl12_2 ),
inference(resolution,[],[f203,f190]) ).
fof(f2512,plain,
( r2_hidden(sK0,u1_struct_0(sK3))
| spl12_2
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f2507,f220]) ).
fof(f2513,plain,
( $false
| spl12_2
| spl12_4
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f2512,f212]) ).
fof(f2514,plain,
( spl12_2
| spl12_4
| ~ spl12_6 ),
inference(avatar_contradiction_clause,[],[f2513]) ).
cnf(s1,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(sat_conversion,[],[f204]) ).
cnf(s2,plain,
( ~ spl12_3
| ~ spl12_4 ),
inference(sat_conversion,[],[f213]) ).
cnf(s3,plain,
( ~ spl12_5
| ~ spl12_6 ),
inference(sat_conversion,[],[f222]) ).
cnf(s4,plain,
( spl12_1
| ~ spl12_3
| spl12_5 ),
inference(sat_conversion,[],[f224]) ).
cnf(s36,plain,
( ~ spl12_26
| ~ spl12_27
| spl12_29 ),
inference(sat_conversion,[],[f1595]) ).
cnf(s37,plain,
spl12_26,
inference(sat_conversion,[],[f1619]) ).
cnf(s38,plain,
spl12_27,
inference(sat_conversion,[],[f1623]) ).
cnf(s41,plain,
( spl12_3
| spl12_5
| ~ spl12_26 ),
inference(sat_conversion,[],[f2435]) ).
cnf(s42,plain,
( spl12_4
| spl12_6
| ~ spl12_26 ),
inference(sat_conversion,[],[f2482]) ).
cnf(s45,plain,
( spl12_3
| ~ spl12_4
| ~ spl12_26
| ~ spl12_27
| ~ spl12_29 ),
inference(sat_conversion,[],[f2502]) ).
cnf(s46,plain,
( spl12_2
| spl12_4
| ~ spl12_6 ),
inference(sat_conversion,[],[f2514]) ).
cnf(s47,plain,
spl12_29,
inference(rat,[],[s36,s38,s37]) ).
cnf(s49,plain,
( spl12_4
| spl12_2 ),
inference(rat,[],[s42,s46,s37]) ).
cnf(s50,plain,
~ spl12_4,
inference(rat,[],[s2,s45,s37,s38,s47]) ).
cnf(s51,plain,
spl12_2,
inference(rat,[],[s49,s50]) ).
cnf(s52,plain,
spl12_6,
inference(rat,[],[s42,s37,s50]) ).
cnf(s53,plain,
~ spl12_5,
inference(rat,[],[s3,s52]) ).
cnf(s54,plain,
spl12_3,
inference(rat,[],[s41,s37,s53]) ).
cnf(s55,plain,
spl12_1,
inference(rat,[],[s4,s54,s53]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s1,s51,s55]) ).
fof(f2515,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU412+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.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 05:13:25 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
% 11.03/2.45 % (3597527)Detected formulas, will run a generic FOF schedule.
% 11.03/2.45 % (3597661)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2906494065:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.03/2.45 % (3597657)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=3571040909:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.03/2.45 % (3597658)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1315631438:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.03/2.45 % (3597662)dis-21_1_sil=8000:lcm=predicate:random_seed=2947050109:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.03/2.45 % (3597654)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=224763411:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.03/2.45 % (3597655)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=442682929:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.03/2.45 % (3597658)Refutation not found, incomplete strategy
% 11.03/2.45 % (3597658)------------------------------
% 11.03/2.45 % (3597658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.45 % (3597658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.45 % (3597658)CaDiCaL version: 2.1.3
% 11.03/2.45 % (3597658)Termination reason: Refutation not found, incomplete strategy
% 11.03/2.45 % (3597658)Time elapsed: 0.004 s
% 11.03/2.45 % (3597658)Peak memory usage: 88 MB
% 11.03/2.45 % (3597658)Instructions burned: 4 (million)
% 11.03/2.45 % (3597660)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=495636104:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.03/2.45 % (3597661)Instruction limit reached!
% 11.03/2.45 % (3597661)------------------------------
% 11.03/2.45 % (3597661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.45 % (3597661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.45 % (3597661)CaDiCaL version: 2.1.3
% 11.03/2.45 % (3597661)Termination reason: Instruction limit
% 11.03/2.45 % (3597661)Termination phase: Saturation
% 11.03/2.45 % (3597661)Time elapsed: 0.054 s
% 11.03/2.45 % (3597661)Peak memory usage: 90 MB
% 11.03/2.45 % (3597661)Instructions burned: 142 (million)
% 11.03/2.45 % (3597662)Instruction limit reached!
% 11.03/2.45 % (3597662)------------------------------
% 11.03/2.45 % (3597662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.45 % (3597662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.45 % (3597662)CaDiCaL version: 2.1.3
% 11.03/2.45 % (3597662)Termination reason: Instruction limit
% 11.03/2.45 % (3597662)Termination phase: Saturation
% 11.03/2.45 % (3597662)Time elapsed: 0.069 s
% 11.03/2.45 % (3597662)Peak memory usage: 89 MB
% 11.03/2.45 % (3597662)Instructions burned: 129 (million)
% 11.03/2.45 % (3597660)Instruction limit reached!
% 11.03/2.45 % (3597660)------------------------------
% 11.03/2.45 % (3597660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.45 % (3597660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.45 % (3597660)CaDiCaL version: 2.1.3
% 11.03/2.45 % (3597660)Termination reason: Instruction limit
% 11.03/2.45 % (3597660)Termination phase: Saturation
% 11.03/2.45 % (3597660)Time elapsed: 0.070 s
% 11.03/2.45 % (3597660)Peak memory usage: 88 MB
% 11.03/2.45 % (3597660)Instructions burned: 119 (million)
% 11.03/2.45 % (3597711)lrs+10_1_sil=8000:sp=occurrence:random_seed=1178381228:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.03/2.45 % (3597726)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3248786573:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.03/2.45 % (3597711)Instruction limit reached!
% 11.03/2.45 % (3597711)------------------------------
% 11.03/2.45 % (3597711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.45 % (3597711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.45 % (3597711)CaDiCaL version: 2.1.3
% 11.03/2.45 % (3597711)Termination reason: Instruction limit
% 11.03/2.45 % (3597711)Termination phase: Saturation
% 8.49/2.50 % (3597711)Time elapsed: 0.095 s
% 8.49/2.50 % (3597711)Peak memory usage: 91 MB
% 8.49/2.50 % (3597711)Instructions burned: 286 (million)
% 8.49/2.50 % (3597729)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2565043963:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.49/2.50 % (3597658)------------------------------
% 8.49/2.50 % (3597658)------------------------------
% 8.49/2.50 % (3597726)Instruction limit reached!
% 8.49/2.50 % (3597726)------------------------------
% 8.49/2.50 % (3597726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.50 % (3597726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.50 % (3597726)CaDiCaL version: 2.1.3
% 8.49/2.50 % (3597726)Termination reason: Instruction limit
% 8.49/2.50 % (3597726)Termination phase: Saturation
% 8.49/2.50 % (3597726)Time elapsed: 0.081 s
% 8.49/2.50 % (3597726)Peak memory usage: 91 MB
% 8.49/2.50 % (3597726)Instructions burned: 159 (million)
% 8.49/2.50 % (3597768)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=927889752:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.49/2.50 % (3597768)Instruction limit reached!
% 8.49/2.50 % (3597768)------------------------------
% 8.49/2.50 % (3597768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.50 % (3597768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.50 % (3597768)CaDiCaL version: 2.1.3
% 8.49/2.50 % (3597768)Termination reason: Instruction limit
% 8.49/2.50 % (3597768)Termination phase: Saturation
% 8.49/2.50 % (3597768)Time elapsed: 0.073 s
% 8.49/2.50 % (3597768)Peak memory usage: 93 MB
% 8.49/2.50 % (3597768)Instructions burned: 250 (million)
% 8.49/2.50 % (3597779)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2746524061:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.49/2.50 % (3597789)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2972248531:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.49/2.50 % (3597729)Instruction limit reached!
% 8.49/2.50 % (3597729)------------------------------
% 8.49/2.50 % (3597729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.50 % (3597729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.50 % (3597729)CaDiCaL version: 2.1.3
% 8.49/2.50 % (3597729)Termination reason: Instruction limit
% 8.49/2.50 % (3597729)Termination phase: Saturation
% 8.49/2.50 % (3597729)Time elapsed: 0.212 s
% 8.49/2.50 % (3597729)Peak memory usage: 91 MB
% 8.49/2.50 % (3597729)Instructions burned: 326 (million)
% 8.49/2.50 % (3597819)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1407784858:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.49/2.50 % (3597819)Instruction limit reached!
% 8.49/2.50 % (3597819)------------------------------
% 8.49/2.50 % (3597819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.50 % (3597819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.50 % (3597819)CaDiCaL version: 2.1.3
% 8.49/2.50 % (3597819)Termination reason: Instruction limit
% 8.49/2.50 % (3597819)Termination phase: Saturation
% 8.49/2.50 % (3597819)Time elapsed: 0.045 s
% 8.49/2.50 % (3597819)Peak memory usage: 90 MB
% 8.49/2.50 % (3597819)Instructions burned: 116 (million)
% 8.49/2.50 % (3597832)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3630918565:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.49/2.50 % (3597779)Instruction limit reached!
% 8.49/2.50 % (3597779)------------------------------
% 8.49/2.50 % (3597779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.50 % (3597779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.50 % (3597779)CaDiCaL version: 2.1.3
% 8.49/2.50 % (3597779)Termination reason: Instruction limit
% 8.49/2.50 % (3597779)Termination phase: Saturation
% 8.49/2.50 % (3597779)Time elapsed: 0.177 s
% 8.49/2.50 % (3597779)Peak memory usage: 90 MB
% 8.49/2.50 % (3597779)Instructions burned: 294 (million)
% 8.49/2.50 % (3597832)Instruction limit reached!
% 8.49/2.50 % (3597832)------------------------------
% 8.49/2.50 % (3597832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.50 % (3597832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.50 % (3597832)CaDiCaL version: 2.1.3
% 8.49/2.50 % (3597832)Termination reason: Instruction limit
% 8.49/2.50 % (3597832)Termination phase: Saturation
% 8.49/2.50 % (3597832)Time elapsed: 0.066 s
% 8.49/2.50 % (3597832)Peak memory usage: 88 MB
% 8.49/2.50 % (3597832)Instructions burned: 127 (million)
% 8.49/2.50 % (3597862)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2160854900:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.49/2.50 % (3597862)Instruction limit reached!
% 8.49/2.50 % (3597862)------------------------------
% 8.49/2.50 % (3597862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.50 % (3597862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.50 % (3597862)CaDiCaL version: 2.1.3
% 8.49/2.50 % (3597862)Termination reason: Instruction limit
% 8.49/2.50 % (3597862)Termination phase: Saturation
% 8.49/2.50 % (3597862)Time elapsed: 0.040 s
% 8.49/2.50 % (3597862)Peak memory usage: 89 MB
% 8.49/2.50 % (3597862)Instructions burned: 115 (million)
% 8.49/2.50 % (3597873)lrs+10_1_sil=8000:sp=occurrence:random_seed=468235670:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.49/2.50 % (3597893)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1316310616:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.49/2.50 % (3597893)Refutation not found, incomplete strategy
% 8.49/2.50 % (3597893)------------------------------
% 8.49/2.50 % (3597893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.50 % (3597893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.50 % (3597893)CaDiCaL version: 2.1.3
% 8.49/2.50 % (3597893)Termination reason: Refutation not found, incomplete strategy
% 8.49/2.50 % (3597893)Time elapsed: 0.006 s
% 8.49/2.50 % (3597893)Peak memory usage: 89 MB
% 8.49/2.50 % (3597893)Instructions burned: 7 (million)
% 8.49/2.50 % (3597904)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=374894997:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.49/2.50 % (3597893)------------------------------
% 8.49/2.50 % (3597893)------------------------------
% 8.49/2.50 % (3597998)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2148353448:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 8.49/2.50 % (3597998)Instruction limit reached!
% 8.49/2.50 % (3597998)------------------------------
% 8.49/2.50 % (3597998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.50 % (3597998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.50 % (3597998)CaDiCaL version: 2.1.3
% 8.49/2.50 % (3597998)Termination reason: Instruction limit
% 8.49/2.50 % (3597998)Termination phase: Saturation
% 8.49/2.50 % (3597998)Time elapsed: 0.071 s
% 8.49/2.50 % (3597998)Peak memory usage: 91 MB
% 8.49/2.50 % (3597998)Instructions burned: 135 (million)
% 8.49/2.50 % (3597873)Instruction limit reached!
% 8.49/2.50 % (3597873)------------------------------
% 8.49/2.50 % (3597873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.50 % (3597873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.50 % (3597873)CaDiCaL version: 2.1.3
% 8.49/2.50 % (3597873)Termination reason: Instruction limit
% 8.49/2.50 % (3597873)Termination phase: Saturation
% 8.49/2.50 % (3597873)Time elapsed: 0.531 s
% 8.49/2.50 % (3597873)Peak memory usage: 97 MB
% 8.49/2.50 % (3597873)Instructions burned: 908 (million)
% 8.49/2.50 % (3597904)First to succeed.
% 8.49/2.50 % (3597904)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3597527"
% 8.49/2.50 % (3598055)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=228755077:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 8.49/2.50 % (3598057)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=554118168:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 8.49/2.50 % (3598055)Refutation not found, incomplete strategy
% 8.49/2.50 % (3598055)------------------------------
% 8.49/2.50 % (3598055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.50 % (3598055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.50 % (3598055)CaDiCaL version: 2.1.3
% 8.49/2.50 % (3598055)Termination reason: Refutation not found, incomplete strategy
% 8.49/2.50 % (3598055)Time elapsed: 0.005 s
% 8.49/2.50 % (3598055)Peak memory usage: 88 MB
% 8.49/2.50 % (3598055)Instructions burned: 6 (million)
% 8.49/2.50 % (3597904)Refutation found. Thanks to Tanya!
% 8.49/2.50 % SZS status Theorem for theBenchmark
% 8.49/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 12.03/2.69 % (3597904)------------------------------
% 12.03/2.69 % (3597904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.69 % (3597904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.69 % (3597904)CaDiCaL version: 2.1.3
% 12.03/2.69 % (3597904)Termination reason: Refutation
% 12.03/2.69 % (3597904)Time elapsed: 0.497 s
% 12.03/2.69 % (3597904)Peak memory usage: 133 MB
% 12.03/2.69 % (3597904)Instructions burned: 1371 (million)
% 12.03/2.69 % (3597904)------------------------------
% 12.03/2.69 % (3597904)------------------------------
% 12.03/2.69 % (3597527)Success in time 1.64 s
% 12.03/2.69 % Vampire exiting
%------------------------------------------------------------------------------