%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT290+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 11:46:34 AM UTC 2026
% Result : Theorem 11.56s 3.23s
% Output : Refutation 13.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of formulae : 193 ( 29 unt; 13 def)
% Number of atoms : 1017 ( 87 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 1316 ( 492 ~; 648 |; 130 &)
% ( 24 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 14 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-3 aty)
% Number of variables : 123 ( 0 sgn 107 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f420,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> r1_tarski(k3_tarski(X0),k3_tarski(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t95_zfmisc_1) ).
fof(f424,axiom,
! [X0] : k3_tarski(k1_zfmisc_1(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_zfmisc_1) ).
fof(f669,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> k5_setfam_1(X0,X1) = k3_tarski(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f6781,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( v2_pre_topc(X0)
<=> ( r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
& ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
=> ( r1_tarski(X1,u1_pre_topc(X0))
=> r2_hidden(k5_setfam_1(u1_struct_0(X0),X1),u1_pre_topc(X0)) ) )
& ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( r2_hidden(X1,u1_pre_topc(X0))
& r2_hidden(X2,u1_pre_topc(X0)) )
=> r2_hidden(k5_subset_1(u1_struct_0(X0),X1,X2),u1_pre_topc(X0)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_pre_topc) ).
fof(f12332,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( r2_hidden(X0,a_1_2_lopclset(X1))
<=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(X1))))
& X0 = k5_setfam_1(k7_lopclset(X1),X2)
& r1_tarski(X2,k10_lopclset(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_1_2_lopclset) ).
fof(f12350,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ( v1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& l1_pre_topc(k11_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_lopclset) ).
fof(f12389,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_lopclset) ).
fof(f12391,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( v1_pre_topc(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ( X1 = k11_lopclset(X0)
<=> ( u1_struct_0(X1) = k7_lopclset(X0)
& u1_pre_topc(X1) = a_1_2_lopclset(X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_lopclset) ).
fof(f12392,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lopclset) ).
fof(f12398,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k3_tarski(k10_lopclset(X0)) = k7_lopclset(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_lopclset) ).
fof(f12399,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k3_tarski(k10_lopclset(X0)) = k7_lopclset(X0) ),
inference(negated_conjecture,[status(cth)],[f12398]) ).
fof(f12401,plain,
! [X0] :
( l1_pre_topc(X0)
=> ( v2_pre_topc(X0)
<=> ( r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
& ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
=> ( r1_tarski(X1,u1_pre_topc(X0))
=> r2_hidden(k5_setfam_1(u1_struct_0(X0),X1),u1_pre_topc(X0)) ) )
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( r2_hidden(X2,u1_pre_topc(X0))
& r2_hidden(X3,u1_pre_topc(X0)) )
=> r2_hidden(k5_subset_1(u1_struct_0(X0),X2,X3),u1_pre_topc(X0)) ) ) ) ) ) ),
inference(rectify,[],[f6781]) ).
fof(f12468,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_2_lopclset(X1))
<=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(X1))))
& X0 = k5_setfam_1(k7_lopclset(X1),X2)
& r1_tarski(X2,k10_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(ennf_transformation,[],[f12332]) ).
fof(f12469,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_2_lopclset(X1))
<=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(X1))))
& X0 = k5_setfam_1(k7_lopclset(X1),X2)
& r1_tarski(X2,k10_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(flattening,[],[f12468]) ).
fof(f12502,plain,
! [X0] :
( ( v1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& l1_pre_topc(k11_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12350]) ).
fof(f12503,plain,
! [X0] :
( ( v1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& l1_pre_topc(k11_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f12502]) ).
fof(f12574,plain,
! [X0] :
( r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12389]) ).
fof(f12575,plain,
! [X0] :
( r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f12574]) ).
fof(f12578,plain,
! [X0] :
( ! [X1] :
( ( X1 = k11_lopclset(X0)
<=> ( u1_struct_0(X1) = k7_lopclset(X0)
& u1_pre_topc(X1) = a_1_2_lopclset(X0) ) )
| ~ v1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12391]) ).
fof(f12579,plain,
! [X0] :
( ! [X1] :
( ( X1 = k11_lopclset(X0)
<=> ( u1_struct_0(X1) = k7_lopclset(X0)
& u1_pre_topc(X1) = a_1_2_lopclset(X0) ) )
| ~ v1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f12578]) ).
fof(f12580,plain,
! [X0] :
( ( ~ v3_struct_0(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12392]) ).
fof(f12581,plain,
! [X0] :
( ( ~ v3_struct_0(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f12580]) ).
fof(f12592,plain,
? [X0] :
( k7_lopclset(X0) != k3_tarski(k10_lopclset(X0))
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f12399]) ).
fof(f12593,plain,
? [X0] :
( k7_lopclset(X0) != k3_tarski(k10_lopclset(X0))
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f12592]) ).
fof(f12688,plain,
! [X0] :
( ( v2_pre_topc(X0)
<=> ( r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
& ! [X1] :
( r2_hidden(k5_setfam_1(u1_struct_0(X0),X1),u1_pre_topc(X0))
| ~ r1_tarski(X1,u1_pre_topc(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) )
& ! [X2] :
( ! [X3] :
( r2_hidden(k5_subset_1(u1_struct_0(X0),X2,X3),u1_pre_topc(X0))
| ~ r2_hidden(X2,u1_pre_topc(X0))
| ~ r2_hidden(X3,u1_pre_topc(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f12401]) ).
fof(f12689,plain,
! [X0] :
( ( v2_pre_topc(X0)
<=> ( r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
& ! [X1] :
( r2_hidden(k5_setfam_1(u1_struct_0(X0),X1),u1_pre_topc(X0))
| ~ r1_tarski(X1,u1_pre_topc(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) )
& ! [X2] :
( ! [X3] :
( r2_hidden(k5_subset_1(u1_struct_0(X0),X2,X3),u1_pre_topc(X0))
| ~ r2_hidden(X2,u1_pre_topc(X0))
| ~ r2_hidden(X3,u1_pre_topc(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f12688]) ).
fof(f12692,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f669]) ).
fof(f13158,plain,
! [X0,X1] :
( r1_tarski(k3_tarski(X0),k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f420]) ).
fof(f13167,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,a_1_2_lopclset(X1))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(X1))))
| k5_setfam_1(k7_lopclset(X1),X2) != X0
| ~ r1_tarski(X2,k10_lopclset(X1)) ) )
& ( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(X1))))
& X0 = k5_setfam_1(k7_lopclset(X1),X2)
& r1_tarski(X2,k10_lopclset(X1)) )
| ~ r2_hidden(X0,a_1_2_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(nnf_transformation,[],[f12469]) ).
fof(f13168,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,a_1_2_lopclset(X1))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(X1))))
| k5_setfam_1(k7_lopclset(X1),X2) != X0
| ~ r1_tarski(X2,k10_lopclset(X1)) ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(X1))))
& k5_setfam_1(k7_lopclset(X1),X3) = X0
& r1_tarski(X3,k10_lopclset(X1)) )
| ~ r2_hidden(X0,a_1_2_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(rectify,[],[f13167]) ).
fof(f13169,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,a_1_2_lopclset(X1))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(X1))))
| k5_setfam_1(k7_lopclset(X1),X2) != X0
| ~ r1_tarski(X2,k10_lopclset(X1)) ) )
& ( ( m1_subset_1(sK2(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(X1))))
& k5_setfam_1(k7_lopclset(X1),sK2(X0,X1)) = X0
& r1_tarski(sK2(X0,X1),k10_lopclset(X1)) )
| ~ r2_hidden(X0,a_1_2_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1))],[f13168]) ).
fof(f13194,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k11_lopclset(X0)
| u1_struct_0(X1) != k7_lopclset(X0)
| u1_pre_topc(X1) != a_1_2_lopclset(X0) )
& ( ( u1_struct_0(X1) = k7_lopclset(X0)
& u1_pre_topc(X1) = a_1_2_lopclset(X0) )
| k11_lopclset(X0) != X1 ) )
| ~ v1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f12579]) ).
fof(f13195,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k11_lopclset(X0)
| u1_struct_0(X1) != k7_lopclset(X0)
| u1_pre_topc(X1) != a_1_2_lopclset(X0) )
& ( ( u1_struct_0(X1) = k7_lopclset(X0)
& u1_pre_topc(X1) = a_1_2_lopclset(X0) )
| k11_lopclset(X0) != X1 ) )
| ~ v1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13194]) ).
fof(f13196,plain,
( k7_lopclset(sK12) != k3_tarski(k10_lopclset(sK12))
& ~ v3_struct_0(sK12)
& v10_lattices(sK12)
& v17_lattices(sK12)
& ~ v3_realset2(sK12)
& l3_lattices(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f12593]) ).
fof(f13253,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f13254,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f13253]) ).
fof(f13258,plain,
! [X0] :
( ( ( v2_pre_topc(X0)
| ~ r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
| ? [X1] :
( ~ r2_hidden(k5_setfam_1(u1_struct_0(X0),X1),u1_pre_topc(X0))
& r1_tarski(X1,u1_pre_topc(X0))
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) )
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(k5_subset_1(u1_struct_0(X0),X2,X3),u1_pre_topc(X0))
& r2_hidden(X2,u1_pre_topc(X0))
& r2_hidden(X3,u1_pre_topc(X0))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
& ! [X1] :
( r2_hidden(k5_setfam_1(u1_struct_0(X0),X1),u1_pre_topc(X0))
| ~ r1_tarski(X1,u1_pre_topc(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) )
& ! [X2] :
( ! [X3] :
( r2_hidden(k5_subset_1(u1_struct_0(X0),X2,X3),u1_pre_topc(X0))
| ~ r2_hidden(X2,u1_pre_topc(X0))
| ~ r2_hidden(X3,u1_pre_topc(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v2_pre_topc(X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f12689]) ).
fof(f13259,plain,
! [X0] :
( ( ( v2_pre_topc(X0)
| ~ r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
| ? [X1] :
( ~ r2_hidden(k5_setfam_1(u1_struct_0(X0),X1),u1_pre_topc(X0))
& r1_tarski(X1,u1_pre_topc(X0))
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) )
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(k5_subset_1(u1_struct_0(X0),X2,X3),u1_pre_topc(X0))
& r2_hidden(X2,u1_pre_topc(X0))
& r2_hidden(X3,u1_pre_topc(X0))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
& ! [X1] :
( r2_hidden(k5_setfam_1(u1_struct_0(X0),X1),u1_pre_topc(X0))
| ~ r1_tarski(X1,u1_pre_topc(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) )
& ! [X2] :
( ! [X3] :
( r2_hidden(k5_subset_1(u1_struct_0(X0),X2,X3),u1_pre_topc(X0))
| ~ r2_hidden(X2,u1_pre_topc(X0))
| ~ r2_hidden(X3,u1_pre_topc(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v2_pre_topc(X0) ) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f13258]) ).
fof(f13260,plain,
! [X0] :
( ( ( v2_pre_topc(X0)
| ~ r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
| ? [X1] :
( ~ r2_hidden(k5_setfam_1(u1_struct_0(X0),X1),u1_pre_topc(X0))
& r1_tarski(X1,u1_pre_topc(X0))
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) )
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(k5_subset_1(u1_struct_0(X0),X2,X3),u1_pre_topc(X0))
& r2_hidden(X2,u1_pre_topc(X0))
& r2_hidden(X3,u1_pre_topc(X0))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
& ! [X4] :
( r2_hidden(k5_setfam_1(u1_struct_0(X0),X4),u1_pre_topc(X0))
| ~ r1_tarski(X4,u1_pre_topc(X0))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) )
& ! [X5] :
( ! [X6] :
( r2_hidden(k5_subset_1(u1_struct_0(X0),X5,X6),u1_pre_topc(X0))
| ~ r2_hidden(X5,u1_pre_topc(X0))
| ~ r2_hidden(X6,u1_pre_topc(X0))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v2_pre_topc(X0) ) )
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f13259]) ).
fof(f13261,plain,
! [X0] :
( ( ( v2_pre_topc(X0)
| ~ r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
| ( ~ r2_hidden(k5_setfam_1(u1_struct_0(X0),sK48(X0)),u1_pre_topc(X0))
& r1_tarski(sK48(X0),u1_pre_topc(X0))
& m1_subset_1(sK48(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) )
| ( ~ r2_hidden(k5_subset_1(u1_struct_0(X0),sK49(X0),sK50(X0)),u1_pre_topc(X0))
& r2_hidden(sK49(X0),u1_pre_topc(X0))
& r2_hidden(sK50(X0),u1_pre_topc(X0))
& m1_subset_1(sK50(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m1_subset_1(sK49(X0),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
& ! [X4] :
( r2_hidden(k5_setfam_1(u1_struct_0(X0),X4),u1_pre_topc(X0))
| ~ r1_tarski(X4,u1_pre_topc(X0))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) )
& ! [X5] :
( ! [X6] :
( r2_hidden(k5_subset_1(u1_struct_0(X0),X5,X6),u1_pre_topc(X0))
| ~ r2_hidden(X5,u1_pre_topc(X0))
| ~ r2_hidden(X6,u1_pre_topc(X0))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v2_pre_topc(X0) ) )
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48,sK49,sK50]),skolemize(X1,sK48(X0)),skolemize(X2,sK49(X0)),skolemize(X3,sK50(X0))],[f13260]) ).
fof(f13446,plain,
! [X0,X1] :
( r1_tarski(sK2(X0,X1),k10_lopclset(X1))
| ~ r2_hidden(X0,a_1_2_lopclset(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f13169]) ).
fof(f13447,plain,
! [X0,X1] :
( k5_setfam_1(k7_lopclset(X1),sK2(X0,X1)) = X0
| ~ r2_hidden(X0,a_1_2_lopclset(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f13169]) ).
fof(f13448,plain,
! [X0,X1] :
( m1_subset_1(sK2(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(X1))))
| ~ r2_hidden(X0,a_1_2_lopclset(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f13169]) ).
fof(f13475,plain,
! [X0] :
( l1_pre_topc(k11_lopclset(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12503]) ).
fof(f13554,plain,
! [X0] :
( r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12575]) ).
fof(f13558,plain,
! [X0,X1] :
( u1_pre_topc(X1) = a_1_2_lopclset(X0)
| k11_lopclset(X0) != X1
| ~ v1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13195]) ).
fof(f13559,plain,
! [X0,X1] :
( u1_struct_0(X1) = k7_lopclset(X0)
| k11_lopclset(X0) != X1
| ~ v1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13195]) ).
fof(f13561,plain,
! [X0] :
( v2_pre_topc(k11_lopclset(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12581]) ).
fof(f13562,plain,
! [X0] :
( v1_pre_topc(k11_lopclset(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12581]) ).
fof(f13569,plain,
l3_lattices(sK12),
inference(cnf_transformation,[],[f13196]) ).
fof(f13570,plain,
~ v3_realset2(sK12),
inference(cnf_transformation,[],[f13196]) ).
fof(f13571,plain,
v17_lattices(sK12),
inference(cnf_transformation,[],[f13196]) ).
fof(f13572,plain,
v10_lattices(sK12),
inference(cnf_transformation,[],[f13196]) ).
fof(f13573,plain,
~ v3_struct_0(sK12),
inference(cnf_transformation,[],[f13196]) ).
fof(f13574,plain,
k7_lopclset(sK12) != k3_tarski(k10_lopclset(sK12)),
inference(cnf_transformation,[],[f13196]) ).
fof(f13710,plain,
! [X0,X1] :
( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) ),
inference(cnf_transformation,[],[f13254]) ).
fof(f13718,plain,
! [X0] :
( r2_hidden(u1_struct_0(X0),u1_pre_topc(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f13261]) ).
fof(f13745,plain,
! [X0,X1] :
( k3_tarski(X1) = k5_setfam_1(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f12692]) ).
fof(f14568,plain,
! [X0] : k3_tarski(k1_zfmisc_1(X0)) = X0,
inference(cnf_transformation,[],[f424]) ).
fof(f14573,plain,
! [X0,X1] :
( r1_tarski(k3_tarski(X0),k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13158]) ).
fof(f14757,plain,
! [X0] :
( k7_lopclset(X0) = u1_struct_0(k11_lopclset(X0))
| ~ v1_pre_topc(k11_lopclset(X0))
| ~ v2_pre_topc(k11_lopclset(X0))
| ~ l1_pre_topc(k11_lopclset(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f13559]) ).
fof(f14758,plain,
! [X0] :
( a_1_2_lopclset(X0) = u1_pre_topc(k11_lopclset(X0))
| ~ v1_pre_topc(k11_lopclset(X0))
| ~ v2_pre_topc(k11_lopclset(X0))
| ~ l1_pre_topc(k11_lopclset(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f13558]) ).
fof(f14919,definition,
( spl196_1
<=> v3_realset2(sK12) ),
introduced(definition,[new_symbols(definition,[spl196_1])],[avatar_definition]) ).
fof(f14921,plain,
( ~ v3_realset2(sK12)
| spl196_1 ),
inference(avatar_component_clause,[],[f14919]) ).
fof(f14922,plain,
~ spl196_1,
inference(avatar_split_clause,[],[f13570,f14919]) ).
fof(f14924,definition,
( spl196_2
<=> k7_lopclset(sK12) = k3_tarski(k10_lopclset(sK12)) ),
introduced(definition,[new_symbols(definition,[spl196_2])],[avatar_definition]) ).
fof(f14926,plain,
( k7_lopclset(sK12) != k3_tarski(k10_lopclset(sK12))
| spl196_2 ),
inference(avatar_component_clause,[],[f14924]) ).
fof(f14927,plain,
~ spl196_2,
inference(avatar_split_clause,[],[f13574,f14924]) ).
fof(f14934,definition,
( spl196_3
<=> v3_struct_0(sK12) ),
introduced(definition,[new_symbols(definition,[spl196_3])],[avatar_definition]) ).
fof(f14936,plain,
( ~ v3_struct_0(sK12)
| spl196_3 ),
inference(avatar_component_clause,[],[f14934]) ).
fof(f14937,plain,
~ spl196_3,
inference(avatar_split_clause,[],[f13573,f14934]) ).
fof(f14939,definition,
( spl196_4
<=> l3_lattices(sK12) ),
introduced(definition,[new_symbols(definition,[spl196_4])],[avatar_definition]) ).
fof(f14941,plain,
( l3_lattices(sK12)
| ~ spl196_4 ),
inference(avatar_component_clause,[],[f14939]) ).
fof(f14942,plain,
spl196_4,
inference(avatar_split_clause,[],[f13569,f14939]) ).
fof(f14956,plain,
( l1_pre_topc(k11_lopclset(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1 ),
inference(resolution,[],[f14921,f13475]) ).
fof(f14984,plain,
( r1_tarski(k10_lopclset(sK12),k1_zfmisc_1(k7_lopclset(sK12)))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1 ),
inference(resolution,[],[f14921,f13554]) ).
fof(f14988,plain,
( v2_pre_topc(k11_lopclset(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1 ),
inference(resolution,[],[f14921,f13561]) ).
fof(f14989,plain,
( v1_pre_topc(k11_lopclset(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1 ),
inference(resolution,[],[f14921,f13562]) ).
fof(f15009,plain,
( k7_lopclset(sK12) = u1_struct_0(k11_lopclset(sK12))
| ~ v1_pre_topc(k11_lopclset(sK12))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1 ),
inference(resolution,[],[f14921,f14757]) ).
fof(f15010,plain,
( a_1_2_lopclset(sK12) = u1_pre_topc(k11_lopclset(sK12))
| ~ v1_pre_topc(k11_lopclset(sK12))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1 ),
inference(resolution,[],[f14921,f14758]) ).
fof(f15011,plain,
( a_1_2_lopclset(sK12) = u1_pre_topc(k11_lopclset(sK12))
| ~ v1_pre_topc(k11_lopclset(sK12))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15010,f14936]) ).
fof(f15012,plain,
( k7_lopclset(sK12) = u1_struct_0(k11_lopclset(sK12))
| ~ v1_pre_topc(k11_lopclset(sK12))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15009,f14936]) ).
fof(f15029,plain,
( v1_pre_topc(k11_lopclset(sK12))
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f14989,f14936]) ).
fof(f15030,plain,
( v2_pre_topc(k11_lopclset(sK12))
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f14988,f14936]) ).
fof(f15034,plain,
( r1_tarski(k10_lopclset(sK12),k1_zfmisc_1(k7_lopclset(sK12)))
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f14984,f14936]) ).
fof(f15060,plain,
( l1_pre_topc(k11_lopclset(sK12))
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f14956,f14936]) ).
fof(f15074,plain,
( a_1_2_lopclset(sK12) = u1_pre_topc(k11_lopclset(sK12))
| ~ v1_pre_topc(k11_lopclset(sK12))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15011,f13572]) ).
fof(f15075,plain,
( k7_lopclset(sK12) = u1_struct_0(k11_lopclset(sK12))
| ~ v1_pre_topc(k11_lopclset(sK12))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15012,f13572]) ).
fof(f15091,plain,
( v1_pre_topc(k11_lopclset(sK12))
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15029,f13572]) ).
fof(f15092,plain,
( v2_pre_topc(k11_lopclset(sK12))
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15030,f13572]) ).
fof(f15096,plain,
( r1_tarski(k10_lopclset(sK12),k1_zfmisc_1(k7_lopclset(sK12)))
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15034,f13572]) ).
fof(f15122,plain,
( l1_pre_topc(k11_lopclset(sK12))
| ~ v17_lattices(sK12)
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15060,f13572]) ).
fof(f15136,plain,
( a_1_2_lopclset(sK12) = u1_pre_topc(k11_lopclset(sK12))
| ~ v1_pre_topc(k11_lopclset(sK12))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15074,f13571]) ).
fof(f15137,plain,
( k7_lopclset(sK12) = u1_struct_0(k11_lopclset(sK12))
| ~ v1_pre_topc(k11_lopclset(sK12))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15075,f13571]) ).
fof(f15153,plain,
( v1_pre_topc(k11_lopclset(sK12))
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15091,f13571]) ).
fof(f15154,plain,
( v2_pre_topc(k11_lopclset(sK12))
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15092,f13571]) ).
fof(f15158,plain,
( r1_tarski(k10_lopclset(sK12),k1_zfmisc_1(k7_lopclset(sK12)))
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15096,f13571]) ).
fof(f15184,plain,
( l1_pre_topc(k11_lopclset(sK12))
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3 ),
inference(forward_subsumption_resolution,[],[f15122,f13571]) ).
fof(f15198,plain,
( a_1_2_lopclset(sK12) = u1_pre_topc(k11_lopclset(sK12))
| ~ v1_pre_topc(k11_lopclset(sK12))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(forward_subsumption_resolution,[],[f15136,f14941]) ).
fof(f15199,plain,
( k7_lopclset(sK12) = u1_struct_0(k11_lopclset(sK12))
| ~ v1_pre_topc(k11_lopclset(sK12))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(forward_subsumption_resolution,[],[f15137,f14941]) ).
fof(f15215,plain,
( v1_pre_topc(k11_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(forward_subsumption_resolution,[],[f15153,f14941]) ).
fof(f15216,plain,
( v2_pre_topc(k11_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(forward_subsumption_resolution,[],[f15154,f14941]) ).
fof(f15220,plain,
( r1_tarski(k10_lopclset(sK12),k1_zfmisc_1(k7_lopclset(sK12)))
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(forward_subsumption_resolution,[],[f15158,f14941]) ).
fof(f15246,plain,
( l1_pre_topc(k11_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(forward_subsumption_resolution,[],[f15184,f14941]) ).
fof(f15260,plain,
( k7_lopclset(sK12) = u1_struct_0(k11_lopclset(sK12))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(backward_subsumption_resolution,[],[f15199,f15215]) ).
fof(f15261,plain,
( a_1_2_lopclset(sK12) = u1_pre_topc(k11_lopclset(sK12))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(backward_subsumption_resolution,[],[f15198,f15215]) ).
fof(f15271,plain,
( k7_lopclset(sK12) = u1_struct_0(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(forward_subsumption_resolution,[],[f15260,f15216]) ).
fof(f15272,plain,
( a_1_2_lopclset(sK12) = u1_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(forward_subsumption_resolution,[],[f15261,f15216]) ).
fof(f15275,plain,
( k7_lopclset(sK12) = u1_struct_0(k11_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(forward_subsumption_resolution,[],[f15271,f15246]) ).
fof(f15276,plain,
( a_1_2_lopclset(sK12) = u1_pre_topc(k11_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(forward_subsumption_resolution,[],[f15272,f15246]) ).
fof(f15278,definition,
( spl196_5
<=> v10_lattices(sK12) ),
introduced(definition,[new_symbols(definition,[spl196_5])],[avatar_definition]) ).
fof(f15280,plain,
( v10_lattices(sK12)
| ~ spl196_5 ),
inference(avatar_component_clause,[],[f15278]) ).
fof(f15281,plain,
spl196_5,
inference(avatar_split_clause,[],[f13572,f15278]) ).
fof(f16680,definition,
( spl196_6
<=> k7_lopclset(sK12) = u1_struct_0(k11_lopclset(sK12)) ),
introduced(definition,[new_symbols(definition,[spl196_6])],[avatar_definition]) ).
fof(f16682,plain,
( k7_lopclset(sK12) = u1_struct_0(k11_lopclset(sK12))
| ~ spl196_6 ),
inference(avatar_component_clause,[],[f16680]) ).
fof(f16683,plain,
( spl196_6
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(avatar_split_clause,[],[f15275,f14939,f14934,f14919,f16680]) ).
fof(f16685,definition,
( spl196_7
<=> v17_lattices(sK12) ),
introduced(definition,[new_symbols(definition,[spl196_7])],[avatar_definition]) ).
fof(f16687,plain,
( v17_lattices(sK12)
| ~ spl196_7 ),
inference(avatar_component_clause,[],[f16685]) ).
fof(f16688,plain,
spl196_7,
inference(avatar_split_clause,[],[f13571,f16685]) ).
fof(f16929,plain,
( r2_hidden(k7_lopclset(sK12),u1_pre_topc(k11_lopclset(sK12)))
| ~ v2_pre_topc(k11_lopclset(sK12))
| ~ l1_pre_topc(k11_lopclset(sK12))
| ~ spl196_6 ),
inference(superposition,[],[f13718,f16682]) ).
fof(f17631,plain,
( r2_hidden(k7_lopclset(sK12),u1_pre_topc(k11_lopclset(sK12)))
| ~ l1_pre_topc(k11_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_6 ),
inference(forward_subsumption_resolution,[],[f16929,f15216]) ).
fof(f17799,plain,
( r2_hidden(k7_lopclset(sK12),u1_pre_topc(k11_lopclset(sK12)))
| spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_6 ),
inference(forward_subsumption_resolution,[],[f17631,f15246]) ).
fof(f17874,plain,
( r2_hidden(k7_lopclset(sK12),a_1_2_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_6 ),
inference(forward_demodulation,[],[f17799,f15276]) ).
fof(f19817,definition,
( spl196_16
<=> r2_hidden(k7_lopclset(sK12),a_1_2_lopclset(sK12)) ),
introduced(definition,[new_symbols(definition,[spl196_16])],[avatar_definition]) ).
fof(f19819,plain,
( r2_hidden(k7_lopclset(sK12),a_1_2_lopclset(sK12))
| ~ spl196_16 ),
inference(avatar_component_clause,[],[f19817]) ).
fof(f19820,plain,
( spl196_16
| spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_6 ),
inference(avatar_split_clause,[],[f17874,f16680,f14939,f14934,f14919,f19817]) ).
fof(f19821,plain,
( r1_tarski(sK2(k7_lopclset(sK12),sK12),k10_lopclset(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| v3_realset2(sK12)
| ~ l3_lattices(sK12)
| ~ spl196_16 ),
inference(resolution,[],[f19819,f13446]) ).
fof(f19822,plain,
( k7_lopclset(sK12) = k5_setfam_1(k7_lopclset(sK12),sK2(k7_lopclset(sK12),sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| v3_realset2(sK12)
| ~ l3_lattices(sK12)
| ~ spl196_16 ),
inference(resolution,[],[f19819,f13447]) ).
fof(f19823,plain,
( m1_subset_1(sK2(k7_lopclset(sK12),sK12),k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(sK12))))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| v3_realset2(sK12)
| ~ l3_lattices(sK12)
| ~ spl196_16 ),
inference(resolution,[],[f19819,f13448]) ).
fof(f19915,plain,
( m1_subset_1(sK2(k7_lopclset(sK12),sK12),k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(sK12))))
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| v3_realset2(sK12)
| ~ l3_lattices(sK12)
| spl196_3
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19823,f14936]) ).
fof(f19916,plain,
( k7_lopclset(sK12) = k5_setfam_1(k7_lopclset(sK12),sK2(k7_lopclset(sK12),sK12))
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| v3_realset2(sK12)
| ~ l3_lattices(sK12)
| spl196_3
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19822,f14936]) ).
fof(f19917,plain,
( r1_tarski(sK2(k7_lopclset(sK12),sK12),k10_lopclset(sK12))
| ~ v10_lattices(sK12)
| ~ v17_lattices(sK12)
| v3_realset2(sK12)
| ~ l3_lattices(sK12)
| spl196_3
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19821,f14936]) ).
fof(f19923,plain,
( m1_subset_1(sK2(k7_lopclset(sK12),sK12),k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(sK12))))
| ~ v17_lattices(sK12)
| v3_realset2(sK12)
| ~ l3_lattices(sK12)
| spl196_3
| ~ spl196_5
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19915,f15280]) ).
fof(f19924,plain,
( k7_lopclset(sK12) = k5_setfam_1(k7_lopclset(sK12),sK2(k7_lopclset(sK12),sK12))
| ~ v17_lattices(sK12)
| v3_realset2(sK12)
| ~ l3_lattices(sK12)
| spl196_3
| ~ spl196_5
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19916,f15280]) ).
fof(f19925,plain,
( r1_tarski(sK2(k7_lopclset(sK12),sK12),k10_lopclset(sK12))
| ~ v17_lattices(sK12)
| v3_realset2(sK12)
| ~ l3_lattices(sK12)
| spl196_3
| ~ spl196_5
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19917,f15280]) ).
fof(f19929,plain,
( m1_subset_1(sK2(k7_lopclset(sK12),sK12),k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(sK12))))
| v3_realset2(sK12)
| ~ l3_lattices(sK12)
| spl196_3
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19923,f16687]) ).
fof(f19930,plain,
( k7_lopclset(sK12) = k5_setfam_1(k7_lopclset(sK12),sK2(k7_lopclset(sK12),sK12))
| v3_realset2(sK12)
| ~ l3_lattices(sK12)
| spl196_3
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19924,f16687]) ).
fof(f19931,plain,
( r1_tarski(sK2(k7_lopclset(sK12),sK12),k10_lopclset(sK12))
| v3_realset2(sK12)
| ~ l3_lattices(sK12)
| spl196_3
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19925,f16687]) ).
fof(f19934,plain,
( m1_subset_1(sK2(k7_lopclset(sK12),sK12),k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(sK12))))
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19929,f14921]) ).
fof(f19935,plain,
( k7_lopclset(sK12) = k5_setfam_1(k7_lopclset(sK12),sK2(k7_lopclset(sK12),sK12))
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19930,f14921]) ).
fof(f19936,plain,
( r1_tarski(sK2(k7_lopclset(sK12),sK12),k10_lopclset(sK12))
| ~ l3_lattices(sK12)
| spl196_1
| spl196_3
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19931,f14921]) ).
fof(f19937,plain,
( m1_subset_1(sK2(k7_lopclset(sK12),sK12),k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(sK12))))
| spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19934,f14941]) ).
fof(f19938,plain,
( k7_lopclset(sK12) = k5_setfam_1(k7_lopclset(sK12),sK2(k7_lopclset(sK12),sK12))
| spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19935,f14941]) ).
fof(f19939,plain,
( r1_tarski(sK2(k7_lopclset(sK12),sK12),k10_lopclset(sK12))
| spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16 ),
inference(forward_subsumption_resolution,[],[f19936,f14941]) ).
fof(f23577,definition,
( spl196_51
<=> k7_lopclset(sK12) = k5_setfam_1(k7_lopclset(sK12),sK2(k7_lopclset(sK12),sK12)) ),
introduced(definition,[new_symbols(definition,[spl196_51])],[avatar_definition]) ).
fof(f23579,plain,
( k7_lopclset(sK12) = k5_setfam_1(k7_lopclset(sK12),sK2(k7_lopclset(sK12),sK12))
| ~ spl196_51 ),
inference(avatar_component_clause,[],[f23577]) ).
fof(f23580,plain,
( spl196_51
| spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16 ),
inference(avatar_split_clause,[],[f19938,f19817,f16685,f15278,f14939,f14934,f14919,f23577]) ).
fof(f23689,plain,
( k7_lopclset(sK12) = k3_tarski(sK2(k7_lopclset(sK12),sK12))
| ~ m1_subset_1(sK2(k7_lopclset(sK12),sK12),k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(sK12))))
| ~ spl196_51 ),
inference(superposition,[],[f13745,f23579]) ).
fof(f23701,plain,
( k7_lopclset(sK12) = k3_tarski(sK2(k7_lopclset(sK12),sK12))
| spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16
| ~ spl196_51 ),
inference(forward_subsumption_resolution,[],[f23689,f19937]) ).
fof(f23712,definition,
( spl196_54
<=> k7_lopclset(sK12) = k3_tarski(sK2(k7_lopclset(sK12),sK12)) ),
introduced(definition,[new_symbols(definition,[spl196_54])],[avatar_definition]) ).
fof(f23714,plain,
( k7_lopclset(sK12) = k3_tarski(sK2(k7_lopclset(sK12),sK12))
| ~ spl196_54 ),
inference(avatar_component_clause,[],[f23712]) ).
fof(f23715,plain,
( spl196_54
| spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16
| ~ spl196_51 ),
inference(avatar_split_clause,[],[f23701,f23577,f19817,f16685,f15278,f14939,f14934,f14919,f23712]) ).
fof(f32677,definition,
( spl196_123
<=> r1_tarski(sK2(k7_lopclset(sK12),sK12),k10_lopclset(sK12)) ),
introduced(definition,[new_symbols(definition,[spl196_123])],[avatar_definition]) ).
fof(f32679,plain,
( r1_tarski(sK2(k7_lopclset(sK12),sK12),k10_lopclset(sK12))
| ~ spl196_123 ),
inference(avatar_component_clause,[],[f32677]) ).
fof(f32680,plain,
( spl196_123
| spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16 ),
inference(avatar_split_clause,[],[f19939,f19817,f16685,f15278,f14939,f14934,f14919,f32677]) ).
fof(f32706,definition,
( spl196_129
<=> r1_tarski(k10_lopclset(sK12),k1_zfmisc_1(k7_lopclset(sK12))) ),
introduced(definition,[new_symbols(definition,[spl196_129])],[avatar_definition]) ).
fof(f32708,plain,
( r1_tarski(k10_lopclset(sK12),k1_zfmisc_1(k7_lopclset(sK12)))
| ~ spl196_129 ),
inference(avatar_component_clause,[],[f32706]) ).
fof(f32709,plain,
( spl196_129
| spl196_1
| spl196_3
| ~ spl196_4 ),
inference(avatar_split_clause,[],[f15220,f14939,f14934,f14919,f32706]) ).
fof(f33911,plain,
( r1_tarski(k3_tarski(sK2(k7_lopclset(sK12),sK12)),k3_tarski(k10_lopclset(sK12)))
| ~ spl196_123 ),
inference(resolution,[],[f32679,f14573]) ).
fof(f33961,plain,
( r1_tarski(k7_lopclset(sK12),k3_tarski(k10_lopclset(sK12)))
| ~ spl196_54
| ~ spl196_123 ),
inference(forward_demodulation,[],[f33911,f23714]) ).
fof(f34038,plain,
( r1_tarski(k3_tarski(k10_lopclset(sK12)),k3_tarski(k1_zfmisc_1(k7_lopclset(sK12))))
| ~ spl196_129 ),
inference(resolution,[],[f32708,f14573]) ).
fof(f34088,plain,
( r1_tarski(k3_tarski(k10_lopclset(sK12)),k7_lopclset(sK12))
| ~ spl196_129 ),
inference(forward_demodulation,[],[f34038,f14568]) ).
fof(f34092,definition,
( spl196_134
<=> r1_tarski(k3_tarski(k10_lopclset(sK12)),k7_lopclset(sK12)) ),
introduced(definition,[new_symbols(definition,[spl196_134])],[avatar_definition]) ).
fof(f34094,plain,
( r1_tarski(k3_tarski(k10_lopclset(sK12)),k7_lopclset(sK12))
| ~ spl196_134 ),
inference(avatar_component_clause,[],[f34092]) ).
fof(f34095,plain,
( spl196_134
| ~ spl196_129 ),
inference(avatar_split_clause,[],[f34088,f32706,f34092]) ).
fof(f34111,plain,
( k7_lopclset(sK12) = k3_tarski(k10_lopclset(sK12))
| ~ r1_tarski(k7_lopclset(sK12),k3_tarski(k10_lopclset(sK12)))
| ~ spl196_134 ),
inference(resolution,[],[f34094,f13710]) ).
fof(f34189,plain,
( ~ r1_tarski(k7_lopclset(sK12),k3_tarski(k10_lopclset(sK12)))
| spl196_2
| ~ spl196_134 ),
inference(forward_subsumption_resolution,[],[f34111,f14926]) ).
fof(f34196,plain,
( $false
| spl196_2
| ~ spl196_54
| ~ spl196_123
| ~ spl196_134 ),
inference(forward_subsumption_resolution,[],[f34189,f33961]) ).
fof(f34197,plain,
( spl196_2
| ~ spl196_54
| ~ spl196_123
| ~ spl196_134 ),
inference(avatar_contradiction_clause,[],[f34196]) ).
cnf(s1,plain,
~ spl196_1,
inference(sat_conversion,[],[f14922]) ).
cnf(s2,plain,
~ spl196_2,
inference(sat_conversion,[],[f14927]) ).
cnf(s3,plain,
~ spl196_3,
inference(sat_conversion,[],[f14937]) ).
cnf(s4,plain,
spl196_4,
inference(sat_conversion,[],[f14942]) ).
cnf(s5,plain,
spl196_5,
inference(sat_conversion,[],[f15281]) ).
cnf(s6,plain,
( spl196_1
| spl196_3
| ~ spl196_4
| spl196_6 ),
inference(sat_conversion,[],[f16683]) ).
cnf(s7,plain,
spl196_7,
inference(sat_conversion,[],[f16688]) ).
cnf(s16,plain,
( spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_6
| spl196_16 ),
inference(sat_conversion,[],[f19820]) ).
cnf(s51,plain,
( spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16
| spl196_51 ),
inference(sat_conversion,[],[f23580]) ).
cnf(s54,plain,
( spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16
| ~ spl196_51
| spl196_54 ),
inference(sat_conversion,[],[f23715]) ).
cnf(s146,plain,
( spl196_1
| spl196_3
| ~ spl196_4
| ~ spl196_5
| ~ spl196_7
| ~ spl196_16
| spl196_123 ),
inference(sat_conversion,[],[f32680]) ).
cnf(s149,plain,
( spl196_1
| spl196_3
| ~ spl196_4
| spl196_129 ),
inference(sat_conversion,[],[f32709]) ).
cnf(s159,plain,
( ~ spl196_129
| spl196_134 ),
inference(sat_conversion,[],[f34095]) ).
cnf(s161,plain,
( spl196_2
| ~ spl196_54
| ~ spl196_123
| ~ spl196_134 ),
inference(sat_conversion,[],[f34197]) ).
cnf(s178,plain,
spl196_129,
inference(rat,[],[s149,s3,s4,s1]) ).
cnf(s210,plain,
spl196_6,
inference(rat,[],[s6,s3,s4,s1]) ).
cnf(s211,plain,
spl196_134,
inference(rat,[],[s159,s178]) ).
cnf(s236,plain,
spl196_16,
inference(rat,[],[s16,s1,s3,s4,s210]) ).
cnf(s243,plain,
spl196_123,
inference(rat,[],[s146,s1,s3,s7,s5,s4,s236]) ).
cnf(s244,plain,
spl196_51,
inference(rat,[],[s51,s1,s3,s7,s5,s4,s236]) ).
cnf(s245,plain,
~ spl196_54,
inference(rat,[],[s161,s211,s2,s243]) ).
cnf(s247,plain,
$false,
inference(rat,[],[s54,s236,s1,s3,s7,s5,s4,s245,s244]) ).
fof(f34198,plain,
$false,
inference(avatar_sat_refutation,[],[s247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT290+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:16:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.41 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
% 11.56/3.23 % (3131181)Detected formulas, will run a generic FOF schedule.
% 11.56/3.23 % (3131188)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=1874730467:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 11.56/3.23 % (3131189)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1457882068:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 11.56/3.23 % (3131192)dis-21_1_sil=8000:lcm=predicate:random_seed=2717067077:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 11.56/3.23 % (3131186)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=4050736115:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 11.56/3.23 % (3131187)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=233454643:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 11.56/3.23 % (3131190)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1818777487:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 11.56/3.23 % (3131191)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=698475243:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 11.56/3.23 % (3131189)Refutation not found, incomplete strategy
% 11.56/3.23 % (3131189)------------------------------
% 11.56/3.23 % (3131189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131189)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131189)Termination reason: Refutation not found, incomplete strategy
% 11.56/3.23 % (3131189)Time elapsed: 0.059 s
% 11.56/3.23 % (3131189)Peak memory usage: 105 MB
% 11.56/3.23 % (3131189)Instructions burned: 74 (million)
% 11.56/3.23 % (3131191)Instruction limit reached!
% 11.56/3.23 % (3131191)------------------------------
% 11.56/3.23 % (3131191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131191)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131191)Termination reason: Instruction limit
% 11.56/3.23 % (3131191)Termination phase: Property scanning
% 11.56/3.23 % (3131191)Time elapsed: 0.059 s
% 11.56/3.23 % (3131191)Peak memory usage: 101 MB
% 11.56/3.23 % (3131191)Instructions burned: 141 (million)
% 11.56/3.23 % (3131192)Instruction limit reached!
% 11.56/3.23 % (3131192)------------------------------
% 11.56/3.23 % (3131192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131192)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131192)Termination reason: Instruction limit
% 11.56/3.23 % (3131192)Termination phase: Preprocessing 1
% 11.56/3.23 % (3131192)Time elapsed: 0.094 s
% 11.56/3.23 % (3131192)Peak memory usage: 101 MB
% 11.56/3.23 % (3131192)Instructions burned: 129 (million)
% 11.56/3.23 % (3131190)Instruction limit reached!
% 11.56/3.23 % (3131190)------------------------------
% 11.56/3.23 % (3131190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131190)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131190)Termination reason: Instruction limit
% 11.56/3.23 % (3131190)Termination phase: Property scanning
% 11.56/3.23 % (3131190)Time elapsed: 0.085 s
% 11.56/3.23 % (3131190)Peak memory usage: 104 MB
% 11.56/3.23 % (3131190)Instructions burned: 120 (million)
% 11.56/3.23 % (3131200)lrs+10_1_sil=8000:sp=occurrence:random_seed=3722960753:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 11.56/3.23 % (3131202)lrs+1011_1_sil=32000:sp=occurrence:random_seed=217753120:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 11.56/3.23 % (3131201)lrs+10_1_sil=32000:urr=on:br=off:random_seed=305340982:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 11.56/3.23 % (3131201)Instruction limit reached!
% 11.56/3.23 % (3131201)------------------------------
% 11.56/3.23 % (3131201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131201)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131201)Termination reason: Instruction limit
% 11.56/3.23 % (3131201)Termination phase: SInE selection
% 11.56/3.23 % (3131201)Time elapsed: 0.067 s
% 11.56/3.23 % (3131201)Peak memory usage: 101 MB
% 11.56/3.23 % (3131201)Instructions burned: 157 (million)
% 11.56/3.23 % (3131189)------------------------------
% 11.56/3.23 % (3131189)------------------------------
% 11.56/3.23 % (3131200)Instruction limit reached!
% 11.56/3.23 % (3131200)------------------------------
% 11.56/3.23 % (3131200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131200)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131200)Termination reason: Instruction limit
% 11.56/3.23 % (3131200)Termination phase: Saturation
% 11.56/3.23 % (3131200)Time elapsed: 0.200 s
% 11.56/3.23 % (3131200)Peak memory usage: 108 MB
% 11.56/3.23 % (3131200)Instructions burned: 285 (million)
% 11.56/3.23 % (3131206)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=3009154670:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 11.56/3.23 % (3131207)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=347766826:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 11.56/3.23 % (3131202)Instruction limit reached!
% 11.56/3.23 % (3131202)------------------------------
% 11.56/3.23 % (3131202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131202)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131202)Termination reason: Instruction limit
% 11.56/3.23 % (3131202)Termination phase: Saturation
% 11.56/3.23 % (3131202)Time elapsed: 0.227 s
% 11.56/3.23 % (3131202)Peak memory usage: 108 MB
% 11.56/3.23 % (3131202)Instructions burned: 325 (million)
% 11.56/3.23 % (3131208)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2389405703:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 11.56/3.23 % (3131206)Instruction limit reached!
% 11.56/3.23 % (3131206)------------------------------
% 11.56/3.23 % (3131206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131206)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131206)Termination reason: Instruction limit
% 11.56/3.23 % (3131206)Termination phase: SInE selection
% 11.56/3.23 % (3131206)Time elapsed: 0.135 s
% 11.56/3.23 % (3131206)Peak memory usage: 101 MB
% 11.56/3.23 % (3131206)Instructions burned: 248 (million)
% 11.56/3.23 % (3131211)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3518533089:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 11.56/3.23 % (3131207)Instruction limit reached!
% 11.56/3.23 % (3131207)------------------------------
% 11.56/3.23 % (3131207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131207)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131207)Termination reason: Instruction limit
% 11.56/3.23 % (3131207)Termination phase: Saturation
% 11.56/3.23 % (3131207)Time elapsed: 0.191 s
% 11.56/3.23 % (3131207)Peak memory usage: 109 MB
% 11.56/3.23 % (3131207)Instructions burned: 295 (million)
% 11.56/3.23 % (3131211)Instruction limit reached!
% 11.56/3.23 % (3131211)------------------------------
% 11.56/3.23 % (3131211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131211)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131211)Termination reason: Instruction limit
% 11.56/3.23 % (3131211)Termination phase: Preprocessing 3
% 11.56/3.23 % (3131211)Time elapsed: 0.088 s
% 11.56/3.23 % (3131211)Peak memory usage: 104 MB
% 11.56/3.23 % (3131211)Instructions burned: 113 (million)
% 11.56/3.23 % (3131213)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3188135317:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 11.56/3.23 % (3131215)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3257541218:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 11.56/3.23 % (3131213)Instruction limit reached!
% 11.56/3.23 % (3131213)------------------------------
% 11.56/3.23 % (3131213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131213)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131213)Termination reason: Instruction limit
% 11.56/3.23 % (3131213)Termination phase: Preprocessing 2
% 11.56/3.23 % (3131213)Time elapsed: 0.101 s
% 11.56/3.23 % (3131213)Peak memory usage: 107 MB
% 11.56/3.23 % (3131213)Instructions burned: 127 (million)
% 11.56/3.23 % (3131216)lrs+10_1_sil=8000:sp=occurrence:random_seed=1517808685:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 11.56/3.23 % (3131215)Instruction limit reached!
% 11.56/3.23 % (3131215)------------------------------
% 11.56/3.23 % (3131215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131215)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131215)Termination reason: Instruction limit
% 11.56/3.23 % (3131215)Termination phase: Property scanning
% 11.56/3.23 % (3131215)Time elapsed: 0.048 s
% 11.56/3.23 % (3131215)Peak memory usage: 101 MB
% 11.56/3.23 % (3131215)Instructions burned: 115 (million)
% 11.56/3.23 % (3131219)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3171935854:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 11.56/3.23 % (3131221)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2285670661:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 11.56/3.23 % (3131219)Refutation not found, incomplete strategy
% 11.56/3.23 % (3131219)------------------------------
% 11.56/3.23 % (3131219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131219)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131219)Termination reason: Refutation not found, incomplete strategy
% 11.56/3.23 % (3131219)Time elapsed: 0.099 s
% 11.56/3.23 % (3131219)Peak memory usage: 107 MB
% 11.56/3.23 % (3131219)Instructions burned: 136 (million)
% 11.56/3.23 % (3131219)------------------------------
% 11.56/3.23 % (3131219)------------------------------
% 11.56/3.23 % (3131216)Instruction limit reached!
% 11.56/3.23 % (3131216)------------------------------
% 11.56/3.23 % (3131216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131216)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131216)Termination reason: Instruction limit
% 11.56/3.23 % (3131216)Termination phase: Saturation
% 11.56/3.23 % (3131216)Time elapsed: 0.538 s
% 11.56/3.23 % (3131216)Peak memory usage: 120 MB
% 11.56/3.23 % (3131216)Instructions burned: 907 (million)
% 11.56/3.23 % (3131224)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=654439485:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 11.56/3.23 % (3131188)First to succeed.
% 11.56/3.23 % (3131188)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3131181"
% 11.56/3.23 % (3131225)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2386086841:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 11.56/3.23 % (3131224)Instruction limit reached!
% 11.56/3.23 % (3131224)------------------------------
% 11.56/3.23 % (3131224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/3.23 % (3131224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/3.23 % (3131224)CaDiCaL version: 2.1.3
% 11.56/3.23 % (3131224)Termination reason: Instruction limit
% 11.56/3.23 % (3131224)Termination phase: Property scanning
% 11.56/3.23 % (3131224)Time elapsed: 0.103 s
% 11.56/3.23 % (3131224)Peak memory usage: 105 MB
% 11.56/3.23 % (3131224)Instructions burned: 135 (million)
% 11.56/3.23 % (3131188)Refutation found. Thanks to Tanya!
% 11.56/3.23 % SZS status Theorem for theBenchmark
% 11.56/3.23 % SZS output start Proof for theBenchmark
% See solution above
% 13.74/3.43 % (3131188)------------------------------
% 13.74/3.43 % (3131188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/3.43 % (3131188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/3.43 % (3131188)CaDiCaL version: 2.1.3
% 13.74/3.43 % (3131188)Termination reason: Refutation
% 13.74/3.43 % (3131188)Time elapsed: 1.498 s
% 13.74/3.43 % (3131188)Peak memory usage: 178 MB
% 13.74/3.43 % (3131188)Instructions burned: 4337 (million)
% 13.74/3.43 % (3131188)------------------------------
% 13.74/3.43 % (3131188)------------------------------
% 13.74/3.43 % (3131181)Success in time 2.388 s
% 13.74/3.43 % Vampire exiting
%------------------------------------------------------------------------------