%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT347+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:10 AM UTC 2026
% Result : Theorem 23.01s 6.17s
% Output : Refutation 29.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 150 ( 33 unt; 8 def)
% Number of atoms : 489 ( 34 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 569 ( 230 ~; 226 |; 83 &)
% ( 11 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 25 ( 23 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn 77 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f677,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f6788,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f7885,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f11561,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f11637,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(f15126,axiom,
! [X0] :
( v1_orders_2(k2_yellow_1(X0))
& l1_orders_2(k2_yellow_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
fof(f16204,axiom,
! [X0] :
( ( v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(f16205,axiom,
! [X0] :
( ( v3_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(f16206,axiom,
! [X0] :
( ( v4_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(f16208,axiom,
! [X0] :
( ( v2_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(f16212,axiom,
! [X0] :
( ( v1_yellow_0(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_yellow_7) ).
fof(f16213,axiom,
! [X0] :
( ( v2_yellow_0(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_yellow_7) ).
fof(f16248,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_yellow_0(X0)
<=> v2_yellow_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_yellow_7) ).
fof(f16830,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))) )
=> k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_waybel13) ).
fof(f17262,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& l1_orders_2(X0) )
=> k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel16) ).
fof(f17783,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0))))) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_waybel22) ).
fof(f17784,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0))))) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
inference(negated_conjecture,[status(cth)],[f17783]) ).
fof(f17822,plain,
? [X0] :
( ? [X1] :
( k3_tarski(X1) != k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1)
& ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0))))) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f17784]) ).
fof(f17823,plain,
? [X0] :
( ? [X1] :
( k3_tarski(X1) != k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1)
& ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0))))) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f17822]) ).
fof(f17850,plain,
! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f17262]) ).
fof(f17851,plain,
! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f17850]) ).
fof(f17907,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11561]) ).
fof(f17908,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f17907]) ).
fof(f18345,plain,
! [X0] :
( ( v1_yellow_0(X0)
<=> v2_yellow_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16248]) ).
fof(f18357,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0)) )
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16213]) ).
fof(f18358,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0)) )
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18357]) ).
fof(f18359,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0)) )
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16212]) ).
fof(f18360,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0)) )
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18359]) ).
fof(f18363,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) )
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16208]) ).
fof(f18364,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) )
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18363]) ).
fof(f18365,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16206]) ).
fof(f18366,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18365]) ).
fof(f18367,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16205]) ).
fof(f18368,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18367]) ).
fof(f18369,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16204]) ).
fof(f18370,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18369]) ).
fof(f18372,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11637]) ).
fof(f18378,plain,
! [X0] :
( ! [X1] :
( k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16830]) ).
fof(f18379,plain,
! [X0] :
( ! [X1] :
( k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18378]) ).
fof(f19189,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6788]) ).
fof(f19212,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7885]) ).
fof(f19654,plain,
( k3_tarski(sK11) != k1_yellow_0(k2_yellow_1(k9_waybel_0(sK10)),sK11)
& ~ v1_xboole_0(sK11)
& v1_waybel_0(sK11,k2_yellow_1(k9_waybel_0(sK10)))
& m1_subset_1(sK11,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK10)))))
& v2_orders_2(sK10)
& v3_orders_2(sK10)
& v4_orders_2(sK10)
& v2_yellow_0(sK10)
& v2_lattice3(sK10)
& l1_orders_2(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X0,sK10),skolemize(X1,sK11)],[f17823]) ).
fof(f19680,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f677]) ).
fof(f19856,plain,
! [X0] :
( ( ( v1_yellow_0(X0)
| ~ v2_yellow_0(k7_lattice3(X0)) )
& ( v2_yellow_0(k7_lattice3(X0))
| ~ v1_yellow_0(X0) ) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f18345]) ).
fof(f20293,plain,
l1_orders_2(sK10),
inference(cnf_transformation,[],[f19654]) ).
fof(f20294,plain,
v2_lattice3(sK10),
inference(cnf_transformation,[],[f19654]) ).
fof(f20295,plain,
v2_yellow_0(sK10),
inference(cnf_transformation,[],[f19654]) ).
fof(f20296,plain,
v4_orders_2(sK10),
inference(cnf_transformation,[],[f19654]) ).
fof(f20297,plain,
v3_orders_2(sK10),
inference(cnf_transformation,[],[f19654]) ).
fof(f20298,plain,
v2_orders_2(sK10),
inference(cnf_transformation,[],[f19654]) ).
fof(f20299,plain,
m1_subset_1(sK11,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK10))))),
inference(cnf_transformation,[],[f19654]) ).
fof(f20300,plain,
v1_waybel_0(sK11,k2_yellow_1(k9_waybel_0(sK10))),
inference(cnf_transformation,[],[f19654]) ).
fof(f20301,plain,
~ v1_xboole_0(sK11),
inference(cnf_transformation,[],[f19654]) ).
fof(f20302,plain,
k3_tarski(sK11) != k1_yellow_0(k2_yellow_1(k9_waybel_0(sK10)),sK11),
inference(cnf_transformation,[],[f19654]) ).
fof(f20382,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f17851]) ).
fof(f20394,plain,
! [X0] : l1_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f15126]) ).
fof(f20426,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f19680]) ).
fof(f20427,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f19680]) ).
fof(f20483,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f17908]) ).
fof(f21173,plain,
! [X0] :
( ~ v2_yellow_0(k7_lattice3(X0))
| v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19856]) ).
fof(f21202,plain,
! [X0] :
( v1_yellow_0(k7_lattice3(X0))
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18358]) ).
fof(f21204,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| v2_yellow_0(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f18360]) ).
fof(f21209,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18364]) ).
fof(f21212,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18366]) ).
fof(f21214,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18368]) ).
fof(f21216,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18370]) ).
fof(f21219,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_orders_2(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f18372]) ).
fof(f21229,plain,
! [X0,X1] :
( ~ v1_yellow_0(X0)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18379]) ).
fof(f22472,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f19189]) ).
fof(f22509,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19212]) ).
fof(f24308,plain,
l1_orders_2(k7_lattice3(sK10)),
inference(resolution,[],[f21219,f20293]) ).
fof(f24320,plain,
! [X0] :
( ~ l1_orders_2(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f22472,f22509]) ).
fof(f24339,definition,
( spl407_14
<=> v3_orders_2(k7_lattice3(sK10)) ),
introduced(definition,[new_symbols(definition,[spl407_14])],[avatar_definition]) ).
fof(f24340,plain,
( ~ v3_orders_2(k7_lattice3(sK10))
| spl407_14 ),
inference(avatar_component_clause,[],[f24339]) ).
fof(f24342,definition,
( spl407_15
<=> v2_orders_2(k7_lattice3(sK10)) ),
introduced(definition,[new_symbols(definition,[spl407_15])],[avatar_definition]) ).
fof(f24343,plain,
( ~ v2_orders_2(k7_lattice3(sK10))
| spl407_15 ),
inference(avatar_component_clause,[],[f24342]) ).
fof(f24354,definition,
( spl407_18
<=> v3_struct_0(sK10) ),
introduced(definition,[new_symbols(definition,[spl407_18])],[avatar_definition]) ).
fof(f24355,plain,
( v3_struct_0(sK10)
| ~ spl407_18 ),
inference(avatar_component_clause,[],[f24354]) ).
fof(f24358,plain,
( v3_struct_0(sK10)
| ~ v2_orders_2(sK10)
| ~ v3_orders_2(sK10)
| k9_waybel_0(sK10) = k8_waybel_0(k7_lattice3(sK10)) ),
inference(resolution,[],[f20382,f20293]) ).
fof(f24360,plain,
( v3_struct_0(sK10)
| ~ v3_orders_2(sK10)
| k9_waybel_0(sK10) = k8_waybel_0(k7_lattice3(sK10)) ),
inference(forward_subsumption_resolution,[],[f24358,f20298]) ).
fof(f24361,plain,
( v3_struct_0(sK10)
| k9_waybel_0(sK10) = k8_waybel_0(k7_lattice3(sK10)) ),
inference(forward_subsumption_resolution,[],[f24360,f20297]) ).
fof(f24363,definition,
( spl407_19
<=> k9_waybel_0(sK10) = k8_waybel_0(k7_lattice3(sK10)) ),
introduced(definition,[new_symbols(definition,[spl407_19])],[avatar_definition]) ).
fof(f24364,plain,
( k9_waybel_0(sK10) = k8_waybel_0(k7_lattice3(sK10))
| ~ spl407_19 ),
inference(avatar_component_clause,[],[f24363]) ).
fof(f24365,plain,
( spl407_19
| spl407_18 ),
inference(avatar_split_clause,[],[f24361,f24354,f24363]) ).
fof(f24367,plain,
( ~ v3_orders_2(sK10)
| ~ l1_orders_2(sK10)
| spl407_14 ),
inference(resolution,[],[f24340,f21214]) ).
fof(f24369,plain,
( ~ l1_orders_2(sK10)
| spl407_14 ),
inference(forward_subsumption_resolution,[],[f24367,f20297]) ).
fof(f24370,plain,
( $false
| spl407_14 ),
inference(forward_subsumption_resolution,[],[f24369,f20293]) ).
fof(f24371,plain,
spl407_14,
inference(avatar_contradiction_clause,[],[f24370]) ).
fof(f24373,plain,
( ~ v2_lattice3(sK10)
| ~ l1_orders_2(sK10)
| ~ spl407_18 ),
inference(resolution,[],[f20483,f24355]) ).
fof(f24375,plain,
( ~ l1_orders_2(sK10)
| ~ spl407_18 ),
inference(forward_subsumption_resolution,[],[f24373,f20294]) ).
fof(f24376,plain,
( $false
| ~ spl407_18 ),
inference(forward_subsumption_resolution,[],[f24375,f20293]) ).
fof(f24377,plain,
~ spl407_18,
inference(avatar_contradiction_clause,[],[f24376]) ).
fof(f24381,plain,
( ~ v2_orders_2(sK10)
| ~ l1_orders_2(sK10)
| spl407_15 ),
inference(resolution,[],[f24343,f21216]) ).
fof(f24383,plain,
( ~ l1_orders_2(sK10)
| spl407_15 ),
inference(forward_subsumption_resolution,[],[f24381,f20298]) ).
fof(f24384,plain,
( $false
| spl407_15 ),
inference(forward_subsumption_resolution,[],[f24383,f20293]) ).
fof(f24385,plain,
spl407_15,
inference(avatar_contradiction_clause,[],[f24384]) ).
fof(f24396,definition,
( spl407_22
<=> v4_orders_2(k7_lattice3(sK10)) ),
introduced(definition,[new_symbols(definition,[spl407_22])],[avatar_definition]) ).
fof(f24397,plain,
( ~ v4_orders_2(k7_lattice3(sK10))
| spl407_22 ),
inference(avatar_component_clause,[],[f24396]) ).
fof(f24407,plain,
( ~ v4_orders_2(sK10)
| ~ l1_orders_2(sK10)
| spl407_22 ),
inference(resolution,[],[f24397,f21212]) ).
fof(f24409,plain,
( ~ l1_orders_2(sK10)
| spl407_22 ),
inference(forward_subsumption_resolution,[],[f24407,f20296]) ).
fof(f24410,plain,
( $false
| spl407_22 ),
inference(forward_subsumption_resolution,[],[f24409,f20293]) ).
fof(f24411,plain,
spl407_22,
inference(avatar_contradiction_clause,[],[f24410]) ).
fof(f24435,plain,
! [X0] : u1_struct_0(k2_yellow_1(X0)) = k2_pre_topc(k2_yellow_1(X0)),
inference(resolution,[],[f20394,f24320]) ).
fof(f24548,plain,
r1_tarski(sK11,u1_struct_0(k2_yellow_1(k9_waybel_0(sK10)))),
inference(resolution,[],[f20426,f20299]) ).
fof(f24551,plain,
r1_tarski(sK11,k2_pre_topc(k2_yellow_1(k9_waybel_0(sK10)))),
inference(forward_demodulation,[],[f24548,f24435]) ).
fof(f24602,definition,
( spl407_30
<=> v2_yellow_0(k7_lattice3(k7_lattice3(sK10))) ),
introduced(definition,[new_symbols(definition,[spl407_30])],[avatar_definition]) ).
fof(f24603,plain,
( ~ v2_yellow_0(k7_lattice3(k7_lattice3(sK10)))
| spl407_30 ),
inference(avatar_component_clause,[],[f24602]) ).
fof(f26165,plain,
m1_subset_1(sK11,k1_zfmisc_1(k2_pre_topc(k2_yellow_1(k9_waybel_0(sK10))))),
inference(resolution,[],[f24551,f20427]) ).
fof(f27375,plain,
( ~ v1_yellow_0(k7_lattice3(sK10))
| v2_yellow_0(k7_lattice3(k7_lattice3(sK10))) ),
inference(resolution,[],[f21204,f24308]) ).
fof(f27377,plain,
( ~ v1_yellow_0(k7_lattice3(sK10))
| spl407_30 ),
inference(forward_subsumption_resolution,[],[f27375,f24603]) ).
fof(f27380,plain,
( ~ v2_yellow_0(sK10)
| ~ l1_orders_2(sK10)
| spl407_30 ),
inference(resolution,[],[f27377,f21202]) ).
fof(f27382,plain,
( ~ l1_orders_2(sK10)
| spl407_30 ),
inference(forward_subsumption_resolution,[],[f27380,f20295]) ).
fof(f27383,plain,
( $false
| spl407_30 ),
inference(forward_subsumption_resolution,[],[f27382,f20293]) ).
fof(f27384,plain,
spl407_30,
inference(avatar_contradiction_clause,[],[f27383]) ).
fof(f27386,plain,
( v2_yellow_0(k7_lattice3(k7_lattice3(sK10)))
| ~ spl407_30 ),
inference(avatar_component_clause,[],[f24602]) ).
fof(f27465,plain,
( v1_yellow_0(k7_lattice3(sK10))
| ~ l1_orders_2(k7_lattice3(sK10))
| ~ spl407_30 ),
inference(resolution,[],[f27386,f21173]) ).
fof(f27480,plain,
( v1_yellow_0(k7_lattice3(sK10))
| ~ spl407_30 ),
inference(forward_subsumption_resolution,[],[f27465,f24308]) ).
fof(f27520,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(k8_waybel_0(k7_lattice3(sK10))))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK10))))))
| ~ v2_orders_2(k7_lattice3(sK10))
| ~ v3_orders_2(k7_lattice3(sK10))
| ~ v4_orders_2(k7_lattice3(sK10))
| ~ v1_lattice3(k7_lattice3(sK10))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK10))),X0)
| ~ l1_orders_2(k7_lattice3(sK10)) )
| ~ spl407_30 ),
inference(resolution,[],[f27480,f21229]) ).
fof(f27521,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(k8_waybel_0(k7_lattice3(sK10))))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK10))))))
| ~ v2_orders_2(k7_lattice3(sK10))
| ~ v3_orders_2(k7_lattice3(sK10))
| ~ v4_orders_2(k7_lattice3(sK10))
| ~ v1_lattice3(k7_lattice3(sK10))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK10))),X0) )
| ~ spl407_30 ),
inference(forward_subsumption_resolution,[],[f27520,f24308]) ).
fof(f27522,plain,
( ! [X0] :
( ~ v1_waybel_0(X0,k2_yellow_1(k9_waybel_0(sK10)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK10))))))
| ~ v2_orders_2(k7_lattice3(sK10))
| ~ v3_orders_2(k7_lattice3(sK10))
| ~ v4_orders_2(k7_lattice3(sK10))
| ~ v1_lattice3(k7_lattice3(sK10))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK10))),X0) )
| ~ spl407_19
| ~ spl407_30 ),
inference(forward_demodulation,[],[f27521,f24364]) ).
fof(f27523,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(k2_yellow_1(k8_waybel_0(k7_lattice3(sK10))))))
| ~ v1_waybel_0(X0,k2_yellow_1(k9_waybel_0(sK10)))
| v1_xboole_0(X0)
| ~ v2_orders_2(k7_lattice3(sK10))
| ~ v3_orders_2(k7_lattice3(sK10))
| ~ v4_orders_2(k7_lattice3(sK10))
| ~ v1_lattice3(k7_lattice3(sK10))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK10))),X0) )
| ~ spl407_19
| ~ spl407_30 ),
inference(forward_demodulation,[],[f27522,f24435]) ).
fof(f27524,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(k2_yellow_1(k9_waybel_0(sK10)))))
| ~ v1_waybel_0(X0,k2_yellow_1(k9_waybel_0(sK10)))
| v1_xboole_0(X0)
| ~ v2_orders_2(k7_lattice3(sK10))
| ~ v3_orders_2(k7_lattice3(sK10))
| ~ v4_orders_2(k7_lattice3(sK10))
| ~ v1_lattice3(k7_lattice3(sK10))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK10))),X0) )
| ~ spl407_19
| ~ spl407_30 ),
inference(forward_demodulation,[],[f27523,f24364]) ).
fof(f27525,plain,
( ! [X0] :
( k3_tarski(X0) = k1_yellow_0(k2_yellow_1(k9_waybel_0(sK10)),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(k2_yellow_1(k9_waybel_0(sK10)))))
| ~ v1_waybel_0(X0,k2_yellow_1(k9_waybel_0(sK10)))
| v1_xboole_0(X0)
| ~ v2_orders_2(k7_lattice3(sK10))
| ~ v3_orders_2(k7_lattice3(sK10))
| ~ v4_orders_2(k7_lattice3(sK10))
| ~ v1_lattice3(k7_lattice3(sK10)) )
| ~ spl407_19
| ~ spl407_30 ),
inference(forward_demodulation,[],[f27524,f24364]) ).
fof(f27527,definition,
( spl407_165
<=> v1_lattice3(k7_lattice3(sK10)) ),
introduced(definition,[new_symbols(definition,[spl407_165])],[avatar_definition]) ).
fof(f27528,plain,
( ~ v1_lattice3(k7_lattice3(sK10))
| spl407_165 ),
inference(avatar_component_clause,[],[f27527]) ).
fof(f27530,definition,
( spl407_166
<=> ! [X0] :
( k3_tarski(X0) = k1_yellow_0(k2_yellow_1(k9_waybel_0(sK10)),X0)
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(k9_waybel_0(sK10)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(k2_yellow_1(k9_waybel_0(sK10))))) ) ),
introduced(definition,[new_symbols(definition,[spl407_166])],[avatar_definition]) ).
fof(f27531,plain,
( ! [X0] :
( ~ v1_waybel_0(X0,k2_yellow_1(k9_waybel_0(sK10)))
| v1_xboole_0(X0)
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(k9_waybel_0(sK10)),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(k2_yellow_1(k9_waybel_0(sK10))))) )
| ~ spl407_166 ),
inference(avatar_component_clause,[],[f27530]) ).
fof(f27532,plain,
( ~ spl407_165
| ~ spl407_22
| ~ spl407_14
| ~ spl407_15
| spl407_166
| ~ spl407_19
| ~ spl407_30 ),
inference(avatar_split_clause,[],[f27525,f24602,f24363,f27530,f24342,f24339,f24396,f27527]) ).
fof(f27534,plain,
( ~ v2_lattice3(sK10)
| ~ l1_orders_2(sK10)
| spl407_165 ),
inference(resolution,[],[f27528,f21209]) ).
fof(f27536,plain,
( ~ l1_orders_2(sK10)
| spl407_165 ),
inference(forward_subsumption_resolution,[],[f27534,f20294]) ).
fof(f27537,plain,
( $false
| spl407_165 ),
inference(forward_subsumption_resolution,[],[f27536,f20293]) ).
fof(f27538,plain,
spl407_165,
inference(avatar_contradiction_clause,[],[f27537]) ).
fof(f27539,plain,
( v1_xboole_0(sK11)
| k3_tarski(sK11) = k1_yellow_0(k2_yellow_1(k9_waybel_0(sK10)),sK11)
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_pre_topc(k2_yellow_1(k9_waybel_0(sK10)))))
| ~ spl407_166 ),
inference(resolution,[],[f27531,f20300]) ).
fof(f27540,plain,
( k3_tarski(sK11) = k1_yellow_0(k2_yellow_1(k9_waybel_0(sK10)),sK11)
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_pre_topc(k2_yellow_1(k9_waybel_0(sK10)))))
| ~ spl407_166 ),
inference(forward_subsumption_resolution,[],[f27539,f20301]) ).
fof(f27541,plain,
( ~ m1_subset_1(sK11,k1_zfmisc_1(k2_pre_topc(k2_yellow_1(k9_waybel_0(sK10)))))
| ~ spl407_166 ),
inference(forward_subsumption_resolution,[],[f27540,f20302]) ).
fof(f27542,plain,
( $false
| ~ spl407_166 ),
inference(forward_subsumption_resolution,[],[f27541,f26165]) ).
fof(f27543,plain,
~ spl407_166,
inference(avatar_contradiction_clause,[],[f27542]) ).
cnf(s14,plain,
( spl407_18
| spl407_19 ),
inference(sat_conversion,[],[f24365]) ).
cnf(s16,plain,
spl407_14,
inference(sat_conversion,[],[f24371]) ).
cnf(s18,plain,
~ spl407_18,
inference(sat_conversion,[],[f24377]) ).
cnf(s20,plain,
spl407_15,
inference(sat_conversion,[],[f24385]) ).
cnf(s24,plain,
spl407_22,
inference(sat_conversion,[],[f24411]) ).
cnf(s169,plain,
spl407_30,
inference(sat_conversion,[],[f27384]) ).
cnf(s184,plain,
( ~ spl407_14
| ~ spl407_15
| ~ spl407_19
| ~ spl407_22
| ~ spl407_30
| ~ spl407_165
| spl407_166 ),
inference(sat_conversion,[],[f27532]) ).
cnf(s186,plain,
spl407_165,
inference(sat_conversion,[],[f27538]) ).
cnf(s187,plain,
~ spl407_166,
inference(sat_conversion,[],[f27543]) ).
cnf(s188,plain,
( ~ spl407_14
| ~ spl407_15
| ~ spl407_19
| ~ spl407_22
| ~ spl407_30 ),
inference(rat,[],[s184,s187,s186]) ).
cnf(s277,plain,
~ spl407_19,
inference(rat,[],[s188,s169,s24,s20,s16]) ).
cnf(s284,plain,
$false,
inference(rat,[],[s14,s277,s18]) ).
fof(f27544,plain,
$false,
inference(avatar_sat_refutation,[],[s284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT347+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n019.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 14:53:08 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 22.96/5.22 % (3163975)Detected formulas, will run a generic FOF schedule.
% 22.96/5.22 % (3164028)dis-21_1_sil=8000:lcm=predicate:random_seed=3325196549:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2987 on theBenchmark for (2987ds/129Mi)
% 22.96/5.22 % (3164027)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2645642657:s2a=on:i=139:gtg=position_2987 on theBenchmark for (2987ds/139Mi)
% 22.96/5.22 % (3164022)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=501630016:i=141193_2987 on theBenchmark for (2987ds/141193Mi)
% 22.96/5.22 % (3164025)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3705607863:i=109:sd=1:ins=1:gsp=on:ss=axioms_2987 on theBenchmark for (2987ds/109Mi)
% 22.96/5.22 % (3164026)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3870136554:i=119:av=off:ss=axioms_2987 on theBenchmark for (2987ds/119Mi)
% 22.96/5.22 % (3164024)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=3654314969:i=141695:sd=1:nm=32:gsp=on:ss=included_2987 on theBenchmark for (2987ds/141695Mi)
% 22.96/5.22 % (3164023)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=428194945:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2987 on theBenchmark for (2987ds/134677Mi)
% 22.96/5.22 % (3164028)Instruction limit reached!
% 22.96/5.22 % (3164028)------------------------------
% 22.96/5.22 % (3164028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.96/5.22 % (3164028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/5.22 % (3164028)CaDiCaL version: 2.1.3
% 22.96/5.22 % (3164028)Termination reason: Instruction limit
% 22.96/5.22 % (3164028)Termination phase: SInE selection
% 22.96/5.22 % (3164028)Time elapsed: 0.080 s
% 22.96/5.22 % (3164028)Peak memory usage: 110 MB
% 22.96/5.22 % (3164028)Instructions burned: 131 (million)
% 22.96/5.22 % (3164027)Instruction limit reached!
% 22.96/5.22 % (3164027)------------------------------
% 22.96/5.22 % (3164027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.96/5.22 % (3164027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/5.22 % (3164027)CaDiCaL version: 2.1.3
% 22.96/5.22 % (3164027)Termination reason: Instruction limit
% 22.96/5.22 % (3164027)Termination phase: Property scanning
% 22.96/5.22 % (3164027)Time elapsed: 0.115 s
% 22.96/5.22 % (3164027)Peak memory usage: 109 MB
% 22.96/5.22 % (3164027)Instructions burned: 140 (million)
% 22.96/5.22 % (3164025)Instruction limit reached!
% 22.96/5.22 % (3164025)------------------------------
% 22.96/5.22 % (3164025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.96/5.22 % (3164025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/5.22 % (3164025)CaDiCaL version: 2.1.3
% 22.96/5.22 % (3164025)Termination reason: Instruction limit
% 22.96/5.22 % (3164025)Termination phase: Blocked clause elimination
% 22.96/5.22 % (3164025)Time elapsed: 0.135 s
% 22.96/5.22 % (3164025)Peak memory usage: 113 MB
% 22.96/5.22 % (3164025)Instructions burned: 109 (million)
% 22.96/5.22 % (3164026)Instruction limit reached!
% 22.96/5.22 % (3164026)------------------------------
% 22.96/5.22 % (3164026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.96/5.22 % (3164026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/5.22 % (3164026)CaDiCaL version: 2.1.3
% 22.96/5.22 % (3164026)Termination reason: Instruction limit
% 22.96/5.22 % (3164026)Termination phase: Preprocessing 2
% 22.96/5.22 % (3164026)Time elapsed: 0.148 s
% 22.96/5.22 % (3164026)Peak memory usage: 112 MB
% 22.96/5.22 % (3164026)Instructions burned: 119 (million)
% 22.96/5.22 % (3164036)lrs+10_1_sil=8000:sp=occurrence:random_seed=2913561701:i=285:sd=3:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/285Mi)
% 22.96/5.22 % (3164037)lrs+10_1_sil=32000:urr=on:br=off:random_seed=636642421:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/157Mi)
% 22.96/5.22 % (3164038)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2941569365:i=325:sd=1:ss=axioms:sgt=32_2983 on theBenchmark for (2983ds/325Mi)
% 22.96/5.22 % (3164036)Instruction limit reached!
% 22.96/5.22 % (3164036)------------------------------
% 22.96/5.22 % (3164036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.96/5.22 % (3164036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164036)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164036)Termination reason: Instruction limit
% 23.01/6.17 % (3164036)Termination phase: Saturation
% 23.01/6.17 % (3164036)Time elapsed: 0.180 s
% 23.01/6.17 % (3164036)Peak memory usage: 116 MB
% 23.01/6.17 % (3164036)Instructions burned: 285 (million)
% 23.01/6.17 % (3164039)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=1939828617:s2a=on:i=248:s2at=1.23:gtg=position_2983 on theBenchmark for (2983ds/248Mi)
% 23.01/6.17 % (3164037)Instruction limit reached!
% 23.01/6.17 % (3164037)------------------------------
% 23.01/6.17 % (3164037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164037)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164037)Termination reason: Instruction limit
% 23.01/6.17 % (3164037)Termination phase: Property scanning
% 23.01/6.17 % (3164037)Time elapsed: 0.133 s
% 23.01/6.17 % (3164037)Peak memory usage: 109 MB
% 23.01/6.17 % (3164037)Instructions burned: 158 (million)
% 23.01/6.17 % (3164043)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3386221377:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2981 on theBenchmark for (2981ds/294Mi)
% 23.01/6.17 % (3164039)Instruction limit reached!
% 23.01/6.17 % (3164039)------------------------------
% 23.01/6.17 % (3164039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164039)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164039)Termination reason: Instruction limit
% 23.01/6.17 % (3164039)Termination phase: Property scanning
% 23.01/6.17 % (3164039)Time elapsed: 0.209 s
% 23.01/6.17 % (3164039)Peak memory usage: 109 MB
% 23.01/6.17 % (3164039)Instructions burned: 248 (million)
% 23.01/6.17 % (3164045)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3188223464:i=2350_2980 on theBenchmark for (2980ds/2350Mi)
% 23.01/6.17 % (3164038)Instruction limit reached!
% 23.01/6.17 % (3164038)------------------------------
% 23.01/6.17 % (3164038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164038)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164038)Termination reason: Instruction limit
% 23.01/6.17 % (3164038)Termination phase: Saturation
% 23.01/6.17 % (3164038)Time elapsed: 0.370 s
% 23.01/6.17 % (3164038)Peak memory usage: 117 MB
% 23.01/6.17 % (3164038)Instructions burned: 326 (million)
% 23.01/6.17 % (3164043)Instruction limit reached!
% 23.01/6.17 % (3164043)------------------------------
% 23.01/6.17 % (3164043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164043)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164043)Termination reason: Instruction limit
% 23.01/6.17 % (3164043)Termination phase: Property scanning
% 23.01/6.17 % (3164043)Time elapsed: 0.198 s
% 23.01/6.17 % (3164043)Peak memory usage: 117 MB
% 23.01/6.17 % (3164043)Instructions burned: 297 (million)
% 23.01/6.17 % (3164049)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3291371098:cts=off:i=113:fsr=off:ss=included:sgt=4_2979 on theBenchmark for (2979ds/113Mi)
% 23.01/6.17 % (3164052)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=425185098:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2977 on theBenchmark for (2977ds/114Mi)
% 23.01/6.17 % (3164051)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=404147695:i=127:av=off:fsr=off:sup=off_2977 on theBenchmark for (2977ds/127Mi)
% 23.01/6.17 % (3164052)Instruction limit reached!
% 23.01/6.17 % (3164052)------------------------------
% 23.01/6.17 % (3164052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164052)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164052)Termination reason: Instruction limit
% 23.01/6.17 % (3164052)Termination phase: Property scanning
% 23.01/6.17 % (3164052)Time elapsed: 0.051 s
% 23.01/6.17 % (3164052)Peak memory usage: 109 MB
% 23.01/6.17 % (3164052)Instructions burned: 116 (million)
% 23.01/6.17 % (3164049)Instruction limit reached!
% 23.01/6.17 % (3164049)------------------------------
% 23.01/6.17 % (3164049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164049)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164049)Termination reason: Instruction limit
% 23.01/6.17 % (3164049)Termination phase: Preprocessing 1
% 23.01/6.17 % (3164049)Time elapsed: 0.152 s
% 23.01/6.17 % (3164049)Peak memory usage: 110 MB
% 23.01/6.17 % (3164049)Instructions burned: 113 (million)
% 23.01/6.17 % (3164051)Instruction limit reached!
% 23.01/6.17 % (3164051)------------------------------
% 23.01/6.17 % (3164051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164051)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164051)Termination reason: Instruction limit
% 23.01/6.17 % (3164051)Termination phase: Preprocessing 1
% 23.01/6.17 % (3164051)Time elapsed: 0.144 s
% 23.01/6.17 % (3164051)Peak memory usage: 110 MB
% 23.01/6.17 % (3164051)Instructions burned: 128 (million)
% 23.01/6.17 % (3164057)lrs+10_1_sil=8000:sp=occurrence:random_seed=2885520293:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2975 on theBenchmark for (2975ds/907Mi)
% 23.01/6.17 % (3164058)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1687675728:i=437:sd=1:aac=none:ss=included_2975 on theBenchmark for (2975ds/437Mi)
% 23.01/6.17 % (3164059)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3259352280:i=5202:ss=axioms:sgt=16_2974 on theBenchmark for (2974ds/5202Mi)
% 23.01/6.17 % (3164057)Instruction limit reached!
% 23.01/6.17 % (3164057)------------------------------
% 23.01/6.17 % (3164057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164057)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164057)Termination reason: Instruction limit
% 23.01/6.17 % (3164057)Termination phase: Saturation
% 23.01/6.17 % (3164057)Time elapsed: 0.482 s
% 23.01/6.17 % (3164057)Peak memory usage: 127 MB
% 23.01/6.17 % (3164057)Instructions burned: 908 (million)
% 23.01/6.17 % (3164058)Instruction limit reached!
% 23.01/6.17 % (3164058)------------------------------
% 23.01/6.17 % (3164058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164058)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164058)Termination reason: Instruction limit
% 23.01/6.17 % (3164058)Termination phase: Saturation
% 23.01/6.17 % (3164058)Time elapsed: 0.490 s
% 23.01/6.17 % (3164058)Peak memory usage: 116 MB
% 23.01/6.17 % (3164058)Instructions burned: 437 (million)
% 23.01/6.17 % (3164063)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1994637513:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2969 on theBenchmark for (2969ds/134Mi)
% 23.01/6.17 % (3164063)Instruction limit reached!
% 23.01/6.17 % (3164063)------------------------------
% 23.01/6.17 % (3164063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164063)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164063)Termination reason: Instruction limit
% 23.01/6.17 % (3164063)Termination phase: Property scanning
% 23.01/6.17 % (3164063)Time elapsed: 0.102 s
% 23.01/6.17 % (3164063)Peak memory usage: 113 MB
% 23.01/6.17 % (3164063)Instructions burned: 135 (million)
% 23.01/6.17 % (3164064)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1472597369:st=8:i=592:sd=3:ep=RST:ss=axioms_2967 on theBenchmark for (2967ds/592Mi)
% 23.01/6.17 % (3164066)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2590137742:st=3:i=13193:sd=3:ss=axioms_2966 on theBenchmark for (2966ds/13193Mi)
% 23.01/6.17 % (3164064)Instruction limit reached!
% 23.01/6.17 % (3164064)------------------------------
% 23.01/6.17 % (3164064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164064)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164064)Termination reason: Instruction limit
% 23.01/6.17 % (3164064)Termination phase: Preprocessing 3
% 23.01/6.17 % (3164064)Time elapsed: 0.685 s
% 23.01/6.17 % (3164064)Peak memory usage: 132 MB
% 23.01/6.17 % (3164064)Instructions burned: 593 (million)
% 23.01/6.17 % (3164071)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2893303575:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/125Mi)
% 23.01/6.17 % (3164045)Instruction limit reached!
% 23.01/6.17 % (3164045)------------------------------
% 23.01/6.17 % (3164045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164045)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164045)Termination reason: Instruction limit
% 23.01/6.17 % (3164045)Termination phase: Saturation
% 23.01/6.17 % (3164045)Time elapsed: 2.197 s
% 23.01/6.17 % (3164045)Peak memory usage: 175 MB
% 23.01/6.17 % (3164045)Instructions burned: 2350 (million)
% 23.01/6.17 % (3164071)Instruction limit reached!
% 23.01/6.17 % (3164071)------------------------------
% 23.01/6.17 % (3164071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164071)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164071)Termination reason: Instruction limit
% 23.01/6.17 % (3164071)Termination phase: Property scanning
% 23.01/6.17 % (3164071)Time elapsed: 0.102 s
% 23.01/6.17 % (3164071)Peak memory usage: 109 MB
% 23.01/6.17 % (3164071)Instructions burned: 126 (million)
% 23.01/6.17 % (3164073)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=334477652:i=134:gtgl=5:slsql=off:gtg=exists_sym_2956 on theBenchmark for (2956ds/134Mi)
% 23.01/6.17 % (3164074)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1710569035:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2955 on theBenchmark for (2955ds/141Mi)
% 23.01/6.17 % (3164073)Instruction limit reached!
% 23.01/6.17 % (3164073)------------------------------
% 23.01/6.17 % (3164073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164073)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164073)Termination reason: Instruction limit
% 23.01/6.17 % (3164073)Termination phase: Property scanning
% 23.01/6.17 % (3164073)Time elapsed: 0.111 s
% 23.01/6.17 % (3164073)Peak memory usage: 109 MB
% 23.01/6.17 % (3164073)Instructions burned: 134 (million)
% 23.01/6.17 % (3164023)First to succeed.
% 23.01/6.17 % (3164023)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3163975"
% 23.01/6.17 % (3164074)Instruction limit reached!
% 23.01/6.17 % (3164074)------------------------------
% 23.01/6.17 % (3164074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/6.17 % (3164074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/6.17 % (3164074)CaDiCaL version: 2.1.3
% 23.01/6.17 % (3164074)Termination reason: Instruction limit
% 23.01/6.17 % (3164074)Termination phase: Saturation
% 23.01/6.17 % (3164074)Time elapsed: 0.174 s
% 23.01/6.17 % (3164074)Peak memory usage: 115 MB
% 23.01/6.17 % (3164074)Instructions burned: 141 (million)
% 23.01/6.17 % (3164077)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3967076482:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2953 on theBenchmark for (2953ds/431Mi)
% 23.01/6.17 % (3164078)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3948684391:i=6060:aac=none:ins=25_2951 on theBenchmark for (2951ds/6060Mi)
% 23.01/6.17 % (3164023)Refutation found. Thanks to Tanya!
% 23.01/6.17 % SZS status Theorem for theBenchmark
% 23.01/6.17 % SZS output start Proof for theBenchmark
% See solution above
% 29.81/6.34 % (3164023)------------------------------
% 29.81/6.34 % (3164023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.81/6.34 % (3164023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.81/6.34 % (3164023)CaDiCaL version: 2.1.3
% 29.81/6.34 % (3164023)Termination reason: Refutation
% 29.81/6.34 % (3164023)Time elapsed: 3.254 s
% 29.81/6.34 % (3164023)Peak memory usage: 190 MB
% 29.81/6.34 % (3164023)Instructions burned: 3053 (million)
% 29.81/6.34 % (3164023)------------------------------
% 29.81/6.34 % (3164023)------------------------------
% 29.81/6.34 % (3163975)Success in time 5.257 s
% 29.81/6.34 % Vampire exiting
%------------------------------------------------------------------------------