%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT283+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:46:31 AM UTC 2026
% Result : Theorem 9.39s 2.19s
% Output : Refutation 9.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 29
% Syntax : Number of formulae : 239 ( 33 unt; 13 def)
% Number of atoms : 1012 ( 115 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1372 ( 599 ~; 631 |; 101 &)
% ( 14 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 14 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 243 ( 1 sgn 237 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k6_lopclset(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k6_lopclset(X0)))
=> k3_lattices(k6_lopclset(X0),X1,X2) = k2_xboole_0(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_lopclset) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k6_lopclset(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k6_lopclset(X0)))
=> k3_lattices(k6_lopclset(X0),X1,X2) = k2_xboole_0(X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f67,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f74,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f79,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f86,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f103,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f107,axiom,
! [X0,X1] : k2_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(f112,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,k1_lopclset(X0))
& m1_subset_1(X2,k1_lopclset(X0)) )
=> k2_lopclset(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_lopclset) ).
fof(f113,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_lattices) ).
fof(f115,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ( v3_lattices(g3_lattices(X0,X1,X2))
& l3_lattices(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(f119,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,k1_lopclset(X0))
& m1_subset_1(X2,k1_lopclset(X0)) )
=> m2_subset_1(k2_lopclset(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_lopclset) ).
fof(f122,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ( v1_funct_1(k4_lopclset(X0))
& v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lopclset) ).
fof(f123,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ( v1_funct_1(k5_lopclset(X0))
& v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lopclset) ).
fof(f124,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ( ~ v3_struct_0(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& l3_lattices(k6_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lopclset) ).
fof(f134,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_lopclset) ).
fof(f135,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
=> ! [X3] :
( m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
=> ! [X4] :
( m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
=> ( ( X1 = X3
& X2 = X4 )
=> k1_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X1,X2) = k2_lopclset(X0,X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_lopclset) ).
fof(f137,plain,
! [X0] : k2_xboole_0(X0,X0) = X0,
inference(rectify,[],[f107]) ).
fof(f138,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k3_lattices(k6_lopclset(X0),X1,X2) != k2_xboole_0(X1,X2)
& m1_subset_1(X2,u1_struct_0(k6_lopclset(X0))) )
& m1_subset_1(X1,u1_struct_0(k6_lopclset(X0))) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f139,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k3_lattices(k6_lopclset(X0),X1,X2) != k2_xboole_0(X1,X2)
& m1_subset_1(X2,u1_struct_0(k6_lopclset(X0))) )
& m1_subset_1(X1,u1_struct_0(k6_lopclset(X0))) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f138]) ).
fof(f203,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f204,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f203]) ).
fof(f210,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f216,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f217,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f216]) ).
fof(f239,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f240,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f239]) ).
fof(f249,plain,
! [X0,X1,X2] :
( k2_lopclset(X0,X1,X2) = k2_xboole_0(X1,X2)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ m1_subset_1(X2,k1_lopclset(X0)) ),
inference(ennf_transformation,[],[f112]) ).
fof(f250,plain,
! [X0,X1,X2] :
( k2_lopclset(X0,X1,X2) = k2_xboole_0(X1,X2)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ m1_subset_1(X2,k1_lopclset(X0)) ),
inference(flattening,[],[f249]) ).
fof(f251,plain,
! [X0,X1,X2] :
( k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f113]) ).
fof(f252,plain,
! [X0,X1,X2] :
( k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f251]) ).
fof(f255,plain,
! [X0,X1,X2] :
( ( v3_lattices(g3_lattices(X0,X1,X2))
& l3_lattices(g3_lattices(X0,X1,X2)) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f256,plain,
! [X0,X1,X2] :
( ( v3_lattices(g3_lattices(X0,X1,X2))
& l3_lattices(g3_lattices(X0,X1,X2)) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f255]) ).
fof(f261,plain,
! [X0,X1,X2] :
( m2_subset_1(k2_lopclset(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ m1_subset_1(X2,k1_lopclset(X0)) ),
inference(ennf_transformation,[],[f119]) ).
fof(f262,plain,
! [X0,X1,X2] :
( m2_subset_1(k2_lopclset(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ m1_subset_1(X2,k1_lopclset(X0)) ),
inference(flattening,[],[f261]) ).
fof(f265,plain,
! [X0] :
( ( v1_funct_1(k4_lopclset(X0))
& v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f122]) ).
fof(f266,plain,
! [X0] :
( ( v1_funct_1(k4_lopclset(X0))
& v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f265]) ).
fof(f267,plain,
! [X0] :
( ( v1_funct_1(k5_lopclset(X0))
& v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f123]) ).
fof(f268,plain,
! [X0] :
( ( v1_funct_1(k5_lopclset(X0))
& v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f267]) ).
fof(f269,plain,
! [X0] :
( ( ~ v3_struct_0(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& l3_lattices(k6_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f124]) ).
fof(f270,plain,
! [X0] :
( ( ~ v3_struct_0(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& l3_lattices(k6_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f269]) ).
fof(f280,plain,
! [X0] :
( k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f134]) ).
fof(f281,plain,
! [X0] :
( k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f280]) ).
fof(f282,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k1_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X1,X2) = k2_lopclset(X0,X3,X4)
| X1 != X3
| X2 != X4
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) )
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))) )
| ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f135]) ).
fof(f283,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k1_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X1,X2) = k2_lopclset(X0,X3,X4)
| X1 != X3
| X2 != X4
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) )
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))) )
| ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f282]) ).
fof(f284,plain,
( k3_lattices(k6_lopclset(sK0),sK1,sK2) != k2_xboole_0(sK1,sK2)
& m1_subset_1(sK2,u1_struct_0(k6_lopclset(sK0)))
& m1_subset_1(sK1,u1_struct_0(k6_lopclset(sK0)))
& ~ v3_struct_0(sK0)
& v2_pre_topc(sK0)
& l1_pre_topc(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f139]) ).
fof(f300,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f315,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f284]) ).
fof(f316,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f284]) ).
fof(f317,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f284]) ).
fof(f318,plain,
m1_subset_1(sK1,u1_struct_0(k6_lopclset(sK0))),
inference(cnf_transformation,[],[f284]) ).
fof(f319,plain,
m1_subset_1(sK2,u1_struct_0(k6_lopclset(sK0))),
inference(cnf_transformation,[],[f284]) ).
fof(f320,plain,
k3_lattices(k6_lopclset(sK0),sK1,sK2) != k2_xboole_0(sK1,sK2),
inference(cnf_transformation,[],[f284]) ).
fof(f467,plain,
! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f474,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f478,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f497,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f533,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| X0 = X3 ),
inference(cnf_transformation,[],[f240]) ).
fof(f537,plain,
! [X0] : k2_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f137]) ).
fof(f542,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_lopclset(X0))
| k2_xboole_0(X1,X2) = k2_lopclset(X0,X1,X2) ),
inference(cnf_transformation,[],[f250]) ).
fof(f543,plain,
! [X2,X0,X1] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f252]) ).
fof(f546,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| l3_lattices(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f256]) ).
fof(f547,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| v3_lattices(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f256]) ).
fof(f550,plain,
! [X2,X0,X1] :
( m2_subset_1(k2_lopclset(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ m1_subset_1(X2,k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f262]) ).
fof(f552,plain,
! [X0] :
( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f553,plain,
! [X0] :
( v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f554,plain,
! [X0] :
( v1_funct_1(k4_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f555,plain,
! [X0] :
( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f556,plain,
! [X0] :
( v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f557,plain,
! [X0] :
( v1_funct_1(k5_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f558,plain,
! [X0] :
( l3_lattices(k6_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f559,plain,
! [X0] :
( v10_lattices(k6_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f560,plain,
! [X0] :
( ~ v3_struct_0(k6_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f572,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
inference(cnf_transformation,[],[f281]) ).
fof(f573,plain,
! [X2,X3,X0,X1,X4] :
( k1_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X1,X2) = k2_lopclset(X0,X3,X4)
| X1 != X3
| X2 != X4
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f576,plain,
! [X2,X3,X0,X4] :
( k2_lopclset(X0,X3,X4) = k1_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X3,X2)
| X2 != X4
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m1_subset_1(X3,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f573]) ).
fof(f577,plain,
! [X3,X0,X4] :
( ~ l1_pre_topc(X0)
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m1_subset_1(X4,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m1_subset_1(X3,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| k2_lopclset(X0,X3,X4) = k1_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X3,X4) ),
inference(equality_resolution,[],[f576]) ).
fof(f580,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)) ),
inference(resolution,[],[f572,f315]) ).
fof(f581,plain,
( ~ v2_pre_topc(sK0)
| k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f580,f317]) ).
fof(f582,plain,
k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)),
inference(forward_subsumption_resolution,[],[f581,f316]) ).
fof(f590,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ m1_subset_1(X0,u1_struct_0(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))))
| ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| k2_lopclset(sK0,X1,X0) = k1_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)),X1,X0) ),
inference(resolution,[],[f577,f315]) ).
fof(f591,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ m1_subset_1(X0,u1_struct_0(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))))
| ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))))
| ~ v2_pre_topc(sK0)
| k2_lopclset(sK0,X1,X0) = k1_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)),X1,X0) ),
inference(forward_subsumption_resolution,[],[f590,f317]) ).
fof(f592,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ m1_subset_1(X0,u1_struct_0(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))))
| ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))))
| k2_lopclset(sK0,X1,X0) = k1_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)),X1,X0) ),
inference(forward_subsumption_resolution,[],[f591,f316]) ).
fof(f593,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(sK0)))
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))))
| k2_lopclset(sK0,X1,X0) = k1_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)),X1,X0) ),
inference(forward_demodulation,[],[f592,f582]) ).
fof(f594,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(sK0)))
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| k2_lopclset(sK0,X1,X0) = k1_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)),X1,X0) ),
inference(forward_demodulation,[],[f593,f582]) ).
fof(f595,plain,
! [X0,X1] :
( ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(sK0)))
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| k2_lopclset(sK0,X1,X0) = k1_lattices(k6_lopclset(sK0),X1,X0) ),
inference(forward_demodulation,[],[f594,f582]) ).
fof(f596,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k2_lopclset(sK0,X0,X1),u1_struct_0(k6_lopclset(sK0)))
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(sK0)))
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| k2_lopclset(sK0,k2_lopclset(sK0,X0,X1),X2) = k1_lattices(k6_lopclset(sK0),k2_lopclset(sK0,X0,X1),X2)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,k1_lopclset(sK0))
| ~ m1_subset_1(X1,k1_lopclset(sK0)) ),
inference(resolution,[],[f595,f550]) ).
fof(f597,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k2_lopclset(sK0,X0,X1),u1_struct_0(k6_lopclset(sK0)))
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(sK0)))
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| k2_lopclset(sK0,k2_lopclset(sK0,X0,X1),X2) = k1_lattices(k6_lopclset(sK0),k2_lopclset(sK0,X0,X1),X2)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,k1_lopclset(sK0))
| ~ m1_subset_1(X1,k1_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f596,f317]) ).
fof(f598,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k2_lopclset(sK0,X0,X1),u1_struct_0(k6_lopclset(sK0)))
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(sK0)))
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| k2_lopclset(sK0,k2_lopclset(sK0,X0,X1),X2) = k1_lattices(k6_lopclset(sK0),k2_lopclset(sK0,X0,X1),X2)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,k1_lopclset(sK0))
| ~ m1_subset_1(X1,k1_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f597,f316]) ).
fof(f599,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k2_lopclset(sK0,X0,X1),u1_struct_0(k6_lopclset(sK0)))
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(sK0)))
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| k2_lopclset(sK0,k2_lopclset(sK0,X0,X1),X2) = k1_lattices(k6_lopclset(sK0),k2_lopclset(sK0,X0,X1),X2)
| ~ m1_subset_1(X0,k1_lopclset(sK0))
| ~ m1_subset_1(X1,k1_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f598,f315]) ).
fof(f615,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(resolution,[],[f552,f474]) ).
fof(f616,plain,
( ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(resolution,[],[f615,f315]) ).
fof(f617,plain,
( v3_struct_0(sK0)
| m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f616,f316]) ).
fof(f618,plain,
m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)),
inference(forward_subsumption_resolution,[],[f617,f317]) ).
fof(f623,definition,
( spl27_4
<=> v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_4])],[avatar_definition]) ).
fof(f624,plain,
( ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| spl27_4 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f626,definition,
( spl27_5
<=> v1_funct_1(k4_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_5])],[avatar_definition]) ).
fof(f627,plain,
( ~ v1_funct_1(k4_lopclset(sK0))
| spl27_5 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f641,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl27_4 ),
inference(resolution,[],[f624,f553]) ).
fof(f643,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl27_4 ),
inference(forward_subsumption_resolution,[],[f641,f317]) ).
fof(f644,plain,
( ~ l1_pre_topc(sK0)
| spl27_4 ),
inference(forward_subsumption_resolution,[],[f643,f316]) ).
fof(f645,plain,
( $false
| spl27_4 ),
inference(forward_subsumption_resolution,[],[f644,f315]) ).
fof(f646,plain,
spl27_4,
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f648,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl27_5 ),
inference(resolution,[],[f627,f554]) ).
fof(f650,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f648,f317]) ).
fof(f651,plain,
( ~ l1_pre_topc(sK0)
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f650,f316]) ).
fof(f652,plain,
( $false
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f651,f315]) ).
fof(f653,plain,
spl27_5,
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f680,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(resolution,[],[f555,f474]) ).
fof(f681,plain,
( ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(resolution,[],[f680,f315]) ).
fof(f682,plain,
( v3_struct_0(sK0)
| m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f681,f316]) ).
fof(f683,plain,
m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)),
inference(forward_subsumption_resolution,[],[f682,f317]) ).
fof(f687,plain,
! [X2,X3,X0,X1] :
( g3_lattices(X1,X2,X3) != g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(k5_lopclset(sK0))
| ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| k1_lopclset(sK0) = X1 ),
inference(resolution,[],[f683,f533]) ).
fof(f691,definition,
( spl27_14
<=> v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_14])],[avatar_definition]) ).
fof(f692,plain,
( ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| spl27_14 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f694,definition,
( spl27_15
<=> v1_funct_1(k5_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_15])],[avatar_definition]) ).
fof(f695,plain,
( ~ v1_funct_1(k5_lopclset(sK0))
| spl27_15 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f705,definition,
( spl27_18
<=> ! [X0,X3,X2,X1] :
( g3_lattices(X1,X2,X3) != g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0))
| k1_lopclset(sK0) = X1
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl27_18])],[avatar_definition]) ).
fof(f706,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| k1_lopclset(sK0) = X1
| g3_lattices(X1,X2,X3) != g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(X0) )
| ~ spl27_18 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f707,plain,
( ~ spl27_14
| ~ spl27_15
| spl27_18 ),
inference(avatar_split_clause,[],[f687,f705,f694,f691]) ).
fof(f721,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl27_14 ),
inference(resolution,[],[f692,f556]) ).
fof(f723,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl27_14 ),
inference(forward_subsumption_resolution,[],[f721,f317]) ).
fof(f724,plain,
( ~ l1_pre_topc(sK0)
| spl27_14 ),
inference(forward_subsumption_resolution,[],[f723,f316]) ).
fof(f725,plain,
( $false
| spl27_14 ),
inference(forward_subsumption_resolution,[],[f724,f315]) ).
fof(f726,plain,
spl27_14,
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f728,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl27_15 ),
inference(resolution,[],[f695,f557]) ).
fof(f730,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl27_15 ),
inference(forward_subsumption_resolution,[],[f728,f317]) ).
fof(f731,plain,
( ~ l1_pre_topc(sK0)
| spl27_15 ),
inference(forward_subsumption_resolution,[],[f730,f316]) ).
fof(f732,plain,
( $false
| spl27_15 ),
inference(forward_subsumption_resolution,[],[f731,f315]) ).
fof(f733,plain,
spl27_15,
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f749,plain,
( ! [X2,X0,X1] :
( k1_lopclset(sK0) = X0
| g3_lattices(X0,X1,X2) != g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))
| ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(k4_lopclset(sK0)) )
| ~ spl27_18 ),
inference(resolution,[],[f706,f618]) ).
fof(f755,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k6_lopclset(sK0)
| k1_lopclset(sK0) = X0
| ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(k4_lopclset(sK0)) )
| ~ spl27_18 ),
inference(forward_demodulation,[],[f749,f582]) ).
fof(f757,definition,
( spl27_25
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k6_lopclset(sK0)
| k1_lopclset(sK0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl27_25])],[avatar_definition]) ).
fof(f758,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k6_lopclset(sK0)
| k1_lopclset(sK0) = X0 )
| ~ spl27_25 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f759,plain,
( ~ spl27_5
| ~ spl27_4
| spl27_25
| ~ spl27_18 ),
inference(avatar_split_clause,[],[f755,f705,f757,f623,f626]) ).
fof(f774,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(k5_lopclset(sK0))
| ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| l3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0))) ),
inference(resolution,[],[f546,f683]) ).
fof(f776,definition,
( spl27_28
<=> ! [X0] :
( ~ v1_funct_1(X0)
| l3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0)))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl27_28])],[avatar_definition]) ).
fof(f777,plain,
( ! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| l3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) )
| ~ spl27_28 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f778,plain,
( ~ spl27_14
| ~ spl27_15
| spl27_28 ),
inference(avatar_split_clause,[],[f774,f776,f694,f691]) ).
fof(f783,plain,
( l3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)))
| ~ v1_funct_1(k4_lopclset(sK0))
| ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl27_28 ),
inference(resolution,[],[f777,f618]) ).
fof(f789,plain,
( l3_lattices(k6_lopclset(sK0))
| ~ v1_funct_1(k4_lopclset(sK0))
| ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl27_28 ),
inference(forward_demodulation,[],[f783,f582]) ).
fof(f791,definition,
( spl27_31
<=> l3_lattices(k6_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_31])],[avatar_definition]) ).
fof(f792,plain,
( l3_lattices(k6_lopclset(sK0))
| ~ spl27_31 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f793,plain,
( ~ spl27_4
| ~ spl27_5
| spl27_31
| ~ spl27_28 ),
inference(avatar_split_clause,[],[f789,f776,f791,f626,f623]) ).
fof(f806,plain,
( l2_lattices(k6_lopclset(sK0))
| ~ spl27_31 ),
inference(resolution,[],[f478,f792]) ).
fof(f808,plain,
( ! [X0,X1] :
( v3_struct_0(k6_lopclset(sK0))
| ~ v4_lattices(k6_lopclset(sK0))
| k1_lattices(k6_lopclset(sK0),X0,X1) = k3_lattices(k6_lopclset(sK0),X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(sK0)))
| ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(sK0))) )
| ~ spl27_31 ),
inference(resolution,[],[f806,f543]) ).
fof(f814,definition,
( spl27_35
<=> v4_lattices(k6_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_35])],[avatar_definition]) ).
fof(f815,plain,
( ~ v4_lattices(k6_lopclset(sK0))
| spl27_35 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f817,definition,
( spl27_36
<=> v3_struct_0(k6_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_36])],[avatar_definition]) ).
fof(f818,plain,
( v3_struct_0(k6_lopclset(sK0))
| ~ spl27_36 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f821,definition,
( spl27_37
<=> ! [X0,X1] :
( k1_lattices(k6_lopclset(sK0),X0,X1) = k3_lattices(k6_lopclset(sK0),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl27_37])],[avatar_definition]) ).
fof(f822,plain,
( ! [X0,X1] :
( k1_lattices(k6_lopclset(sK0),X0,X1) = k3_lattices(k6_lopclset(sK0),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(sK0))) )
| ~ spl27_37 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f823,plain,
( spl27_37
| ~ spl27_35
| spl27_36
| ~ spl27_31 ),
inference(avatar_split_clause,[],[f808,f791,f817,f814,f821]) ).
fof(f829,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl27_36 ),
inference(resolution,[],[f818,f560]) ).
fof(f831,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl27_36 ),
inference(forward_subsumption_resolution,[],[f829,f317]) ).
fof(f832,plain,
( ~ l1_pre_topc(sK0)
| ~ spl27_36 ),
inference(forward_subsumption_resolution,[],[f831,f316]) ).
fof(f833,plain,
( $false
| ~ spl27_36 ),
inference(forward_subsumption_resolution,[],[f832,f315]) ).
fof(f834,plain,
~ spl27_36,
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f836,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(k5_lopclset(sK0))
| ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| v3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0))) ),
inference(resolution,[],[f547,f683]) ).
fof(f838,definition,
( spl27_39
<=> ! [X0] :
( ~ v1_funct_1(X0)
| v3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0)))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl27_39])],[avatar_definition]) ).
fof(f839,plain,
( ! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| v3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) )
| ~ spl27_39 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f840,plain,
( ~ spl27_14
| ~ spl27_15
| spl27_39 ),
inference(avatar_split_clause,[],[f836,f838,f694,f691]) ).
fof(f845,plain,
( v3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)))
| ~ v1_funct_1(k4_lopclset(sK0))
| ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl27_39 ),
inference(resolution,[],[f839,f618]) ).
fof(f851,plain,
( v3_lattices(k6_lopclset(sK0))
| ~ v1_funct_1(k4_lopclset(sK0))
| ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl27_39 ),
inference(forward_demodulation,[],[f845,f582]) ).
fof(f853,definition,
( spl27_42
<=> v3_lattices(k6_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_42])],[avatar_definition]) ).
fof(f854,plain,
( v3_lattices(k6_lopclset(sK0))
| ~ spl27_42 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f855,plain,
( ~ spl27_4
| ~ spl27_5
| spl27_42
| ~ spl27_39 ),
inference(avatar_split_clause,[],[f851,f838,f853,f626,f623]) ).
fof(f856,plain,
( k6_lopclset(sK0) = g3_lattices(u1_struct_0(k6_lopclset(sK0)),u2_lattices(k6_lopclset(sK0)),u1_lattices(k6_lopclset(sK0)))
| ~ l3_lattices(k6_lopclset(sK0))
| ~ spl27_42 ),
inference(resolution,[],[f854,f467]) ).
fof(f857,plain,
( k6_lopclset(sK0) = g3_lattices(u1_struct_0(k6_lopclset(sK0)),u2_lattices(k6_lopclset(sK0)),u1_lattices(k6_lopclset(sK0)))
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f856,f792]) ).
fof(f867,plain,
( k6_lopclset(sK0) != k6_lopclset(sK0)
| u1_struct_0(k6_lopclset(sK0)) = k1_lopclset(sK0)
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(superposition,[],[f758,f857]) ).
fof(f871,plain,
( u1_struct_0(k6_lopclset(sK0)) = k1_lopclset(sK0)
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(trivial_inequality_removal,[],[f867]) ).
fof(f876,plain,
( m1_subset_1(sK1,k1_lopclset(sK0))
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(superposition,[],[f318,f871]) ).
fof(f877,plain,
( m1_subset_1(sK2,k1_lopclset(sK0))
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(superposition,[],[f319,f871]) ).
fof(f915,plain,
( ! [X0] :
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,k1_lopclset(sK0))
| k2_lopclset(sK0,X0,sK1) = k2_xboole_0(X0,sK1) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(resolution,[],[f876,f542]) ).
fof(f917,plain,
( ! [X0] :
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,k1_lopclset(sK0))
| k2_lopclset(sK0,X0,sK1) = k2_xboole_0(X0,sK1) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f915,f317]) ).
fof(f920,plain,
( ! [X0] :
( ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,k1_lopclset(sK0))
| k2_lopclset(sK0,X0,sK1) = k2_xboole_0(X0,sK1) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f917,f316]) ).
fof(f923,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_lopclset(sK0))
| k2_lopclset(sK0,X0,sK1) = k2_xboole_0(X0,sK1) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f920,f315]) ).
fof(f928,plain,
( ! [X0] :
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,k1_lopclset(sK0))
| k2_lopclset(sK0,X0,sK2) = k2_xboole_0(X0,sK2) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(resolution,[],[f877,f542]) ).
fof(f930,plain,
( ! [X0] :
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,k1_lopclset(sK0))
| k2_lopclset(sK0,X0,sK2) = k2_xboole_0(X0,sK2) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f928,f317]) ).
fof(f932,plain,
( ! [X0] :
( ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,k1_lopclset(sK0))
| k2_lopclset(sK0,X0,sK2) = k2_xboole_0(X0,sK2) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f930,f316]) ).
fof(f934,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_lopclset(sK0))
| k2_lopclset(sK0,X0,sK2) = k2_xboole_0(X0,sK2) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f932,f315]) ).
fof(f942,plain,
( k2_xboole_0(sK1,sK2) = k2_lopclset(sK0,sK1,sK2)
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(resolution,[],[f934,f876]) ).
fof(f943,plain,
( k2_lopclset(sK0,sK2,sK2) = k2_xboole_0(sK2,sK2)
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(resolution,[],[f934,f877]) ).
fof(f944,plain,
( sK2 = k2_lopclset(sK0,sK2,sK2)
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_demodulation,[],[f943,f537]) ).
fof(f964,plain,
( m2_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(sK2,k1_lopclset(sK0))
| ~ m1_subset_1(sK2,k1_lopclset(sK0))
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(superposition,[],[f550,f944]) ).
fof(f965,plain,
( m2_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(sK2,k1_lopclset(sK0))
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(duplicate_literal_removal,[],[f964]) ).
fof(f967,plain,
( m2_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(sK2,k1_lopclset(sK0))
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f965,f317]) ).
fof(f969,plain,
( m2_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(sK2,k1_lopclset(sK0))
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f967,f316]) ).
fof(f971,plain,
( m2_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ m1_subset_1(sK2,k1_lopclset(sK0))
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f969,f315]) ).
fof(f973,plain,
( m2_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f971,f877]) ).
fof(f979,plain,
( k2_lopclset(sK0,sK1,sK1) = k2_xboole_0(sK1,sK1)
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(resolution,[],[f923,f876]) ).
fof(f982,plain,
( sK1 = k2_lopclset(sK0,sK1,sK1)
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_demodulation,[],[f979,f537]) ).
fof(f990,plain,
( ! [X0] :
( ~ m1_subset_1(sK1,u1_struct_0(k6_lopclset(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(sK0)))
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| k2_lopclset(sK0,sK1,X0) = k1_lattices(k6_lopclset(sK0),sK1,X0)
| ~ m1_subset_1(sK1,k1_lopclset(sK0))
| ~ m1_subset_1(sK1,k1_lopclset(sK0)) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(superposition,[],[f599,f982]) ).
fof(f993,plain,
( ! [X0] :
( ~ m1_subset_1(sK1,u1_struct_0(k6_lopclset(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(sK0)))
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| k2_lopclset(sK0,sK1,X0) = k1_lattices(k6_lopclset(sK0),sK1,X0)
| ~ m1_subset_1(sK1,k1_lopclset(sK0)) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(duplicate_literal_removal,[],[f990]) ).
fof(f995,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(sK0)))
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| k2_lopclset(sK0,sK1,X0) = k1_lattices(k6_lopclset(sK0),sK1,X0)
| ~ m1_subset_1(sK1,k1_lopclset(sK0)) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f993,f318]) ).
fof(f997,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(sK0)))
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| k2_lopclset(sK0,sK1,X0) = k1_lattices(k6_lopclset(sK0),sK1,X0) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f995,f876]) ).
fof(f999,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_lopclset(sK0))
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| k2_lopclset(sK0,sK1,X0) = k1_lattices(k6_lopclset(sK0),sK1,X0) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_demodulation,[],[f997,f871]) ).
fof(f1058,plain,
( ~ m2_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0))
| k2_lopclset(sK0,sK1,sK2) = k1_lattices(k6_lopclset(sK0),sK1,sK2)
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(resolution,[],[f999,f877]) ).
fof(f1061,plain,
( k2_lopclset(sK0,sK1,sK2) = k1_lattices(k6_lopclset(sK0),sK1,sK2)
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f1058,f973]) ).
fof(f1063,plain,
( k2_xboole_0(sK1,sK2) = k1_lattices(k6_lopclset(sK0),sK1,sK2)
| ~ spl27_25
| ~ spl27_31
| ~ spl27_42 ),
inference(forward_demodulation,[],[f1061,f942]) ).
fof(f2577,plain,
! [X0] :
( v3_struct_0(k6_lopclset(X0))
| v4_lattices(k6_lopclset(X0))
| ~ l3_lattices(k6_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f497,f559]) ).
fof(f2578,plain,
! [X0] :
( v4_lattices(k6_lopclset(X0))
| ~ l3_lattices(k6_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f2577,f560]) ).
fof(f2579,plain,
! [X0] :
( v4_lattices(k6_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f2578,f558]) ).
fof(f2581,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl27_35 ),
inference(resolution,[],[f2579,f815]) ).
fof(f2583,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl27_35 ),
inference(forward_subsumption_resolution,[],[f2581,f317]) ).
fof(f2584,plain,
( ~ l1_pre_topc(sK0)
| spl27_35 ),
inference(forward_subsumption_resolution,[],[f2583,f316]) ).
fof(f2585,plain,
( $false
| spl27_35 ),
inference(forward_subsumption_resolution,[],[f2584,f315]) ).
fof(f2586,plain,
spl27_35,
inference(avatar_contradiction_clause,[],[f2585]) ).
fof(f2588,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_lopclset(sK0))
| k1_lattices(k6_lopclset(sK0),X0,X1) = k3_lattices(k6_lopclset(sK0),X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(sK0))) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_37
| ~ spl27_42 ),
inference(forward_demodulation,[],[f822,f871]) ).
fof(f2592,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_lopclset(sK0))
| ~ m1_subset_1(X0,k1_lopclset(sK0))
| k1_lattices(k6_lopclset(sK0),X0,X1) = k3_lattices(k6_lopclset(sK0),X0,X1) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_37
| ~ spl27_42 ),
inference(forward_demodulation,[],[f2588,f871]) ).
fof(f2635,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_lopclset(sK0))
| k1_lattices(k6_lopclset(sK0),X0,sK2) = k3_lattices(k6_lopclset(sK0),X0,sK2) )
| ~ spl27_25
| ~ spl27_31
| ~ spl27_37
| ~ spl27_42 ),
inference(resolution,[],[f2592,f877]) ).
fof(f3111,plain,
( k3_lattices(k6_lopclset(sK0),sK1,sK2) = k1_lattices(k6_lopclset(sK0),sK1,sK2)
| ~ spl27_25
| ~ spl27_31
| ~ spl27_37
| ~ spl27_42 ),
inference(resolution,[],[f2635,f876]) ).
fof(f3114,plain,
( k3_lattices(k6_lopclset(sK0),sK1,sK2) = k2_xboole_0(sK1,sK2)
| ~ spl27_25
| ~ spl27_31
| ~ spl27_37
| ~ spl27_42 ),
inference(forward_demodulation,[],[f3111,f1063]) ).
fof(f3118,plain,
( $false
| ~ spl27_25
| ~ spl27_31
| ~ spl27_37
| ~ spl27_42 ),
inference(forward_subsumption_resolution,[],[f3114,f320]) ).
fof(f3119,plain,
( ~ spl27_25
| ~ spl27_31
| ~ spl27_37
| ~ spl27_42 ),
inference(avatar_contradiction_clause,[],[f3118]) ).
cnf(s7,plain,
spl27_4,
inference(sat_conversion,[],[f646]) ).
cnf(s9,plain,
spl27_5,
inference(sat_conversion,[],[f653]) ).
cnf(s16,plain,
( ~ spl27_14
| ~ spl27_15
| spl27_18 ),
inference(sat_conversion,[],[f707]) ).
cnf(s21,plain,
spl27_14,
inference(sat_conversion,[],[f726]) ).
cnf(s23,plain,
spl27_15,
inference(sat_conversion,[],[f733]) ).
cnf(s27,plain,
( ~ spl27_4
| ~ spl27_5
| ~ spl27_18
| spl27_25 ),
inference(sat_conversion,[],[f759]) ).
cnf(s30,plain,
( ~ spl27_14
| ~ spl27_15
| spl27_28 ),
inference(sat_conversion,[],[f778]) ).
cnf(s33,plain,
( ~ spl27_4
| ~ spl27_5
| ~ spl27_28
| spl27_31 ),
inference(sat_conversion,[],[f793]) ).
cnf(s37,plain,
( ~ spl27_31
| ~ spl27_35
| spl27_36
| spl27_37 ),
inference(sat_conversion,[],[f823]) ).
cnf(s40,plain,
~ spl27_36,
inference(sat_conversion,[],[f834]) ).
cnf(s41,plain,
( ~ spl27_14
| ~ spl27_15
| spl27_39 ),
inference(sat_conversion,[],[f840]) ).
cnf(s44,plain,
( ~ spl27_4
| ~ spl27_5
| ~ spl27_39
| spl27_42 ),
inference(sat_conversion,[],[f855]) ).
cnf(s138,plain,
spl27_35,
inference(sat_conversion,[],[f2586]) ).
cnf(s147,plain,
( ~ spl27_25
| ~ spl27_31
| ~ spl27_37
| ~ spl27_42 ),
inference(sat_conversion,[],[f3119]) ).
cnf(s157,plain,
( ~ spl27_31
| spl27_37 ),
inference(rat,[],[s37,s40,s138]) ).
cnf(s160,plain,
spl27_39,
inference(rat,[],[s41,s23,s21]) ).
cnf(s161,plain,
spl27_28,
inference(rat,[],[s30,s23,s21]) ).
cnf(s168,plain,
spl27_18,
inference(rat,[],[s16,s23,s21]) ).
cnf(s184,plain,
spl27_42,
inference(rat,[],[s44,s9,s160,s7]) ).
cnf(s186,plain,
spl27_31,
inference(rat,[],[s33,s9,s161,s7]) ).
cnf(s189,plain,
spl27_25,
inference(rat,[],[s27,s9,s168,s7]) ).
cnf(s194,plain,
spl27_37,
inference(rat,[],[s157,s186]) ).
cnf(s198,plain,
$false,
inference(rat,[],[s147,s184,s186,s194,s189]) ).
fof(f3130,plain,
$false,
inference(avatar_sat_refutation,[],[s198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT283+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:16:02 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.39/2.19 % (2684924)Detected formulas, will run a generic FOF schedule.
% 9.39/2.19 % (2684933)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=937554302:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.39/2.19 % (2684933)Instruction limit reached!
% 9.39/2.19 % (2684933)------------------------------
% 9.39/2.19 % (2684933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684933)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684933)Termination reason: Instruction limit
% 9.39/2.19 % (2684933)Termination phase: Saturation
% 9.39/2.19 % (2684933)Time elapsed: 0.037 s
% 9.39/2.19 % (2684933)Peak memory usage: 89 MB
% 9.39/2.19 % (2684933)Instructions burned: 119 (million)
% 9.39/2.19 % (2684934)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2273561433:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.39/2.19 % (2684932)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1904007564:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.39/2.19 % (2684935)dis-21_1_sil=8000:lcm=predicate:random_seed=3583705149:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.39/2.19 % (2684929)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=4160792200:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.39/2.19 % (2684930)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=2709654596:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.39/2.19 % (2684931)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=502755600:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.39/2.19 % (2684932)Refutation not found, incomplete strategy
% 9.39/2.19 % (2684932)------------------------------
% 9.39/2.19 % (2684932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684932)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684932)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.19 % (2684932)Time elapsed: 0.002 s
% 9.39/2.19 % (2684932)Peak memory usage: 88 MB
% 9.39/2.19 % (2684932)Instructions burned: 1 (million)
% 9.39/2.19 % (2684934)Instruction limit reached!
% 9.39/2.19 % (2684934)------------------------------
% 9.39/2.19 % (2684934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684934)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684934)Termination reason: Instruction limit
% 9.39/2.19 % (2684934)Termination phase: Saturation
% 9.39/2.19 % (2684934)Time elapsed: 0.054 s
% 9.39/2.19 % (2684934)Peak memory usage: 90 MB
% 9.39/2.19 % (2684934)Instructions burned: 142 (million)
% 9.39/2.19 % (2684935)Instruction limit reached!
% 9.39/2.19 % (2684935)------------------------------
% 9.39/2.19 % (2684935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684935)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684935)Termination reason: Instruction limit
% 9.39/2.19 % (2684935)Termination phase: Saturation
% 9.39/2.19 % (2684935)Time elapsed: 0.072 s
% 9.39/2.19 % (2684935)Peak memory usage: 90 MB
% 9.39/2.19 % (2684935)Instructions burned: 129 (million)
% 9.39/2.19 % (2684937)lrs+10_1_sil=8000:sp=occurrence:random_seed=2670032897:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.39/2.19 % (2684944)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1598609425:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.39/2.19 % (2684944)Refutation not found, incomplete strategy
% 9.39/2.19 % (2684944)------------------------------
% 9.39/2.19 % (2684944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684944)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684944)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.19 % (2684944)Time elapsed: 0.002 s
% 9.39/2.19 % (2684944)Peak memory usage: 89 MB
% 9.39/2.19 % (2684944)Instructions burned: 3 (million)
% 9.39/2.19 % (2684945)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2811315468:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.39/2.19 % (2684932)------------------------------
% 9.39/2.19 % (2684932)------------------------------
% 9.39/2.19 % (2684937)Instruction limit reached!
% 9.39/2.19 % (2684937)------------------------------
% 9.39/2.19 % (2684937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684937)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684937)Termination reason: Instruction limit
% 9.39/2.19 % (2684937)Termination phase: Saturation
% 9.39/2.19 % (2684937)Time elapsed: 0.172 s
% 9.39/2.19 % (2684937)Peak memory usage: 92 MB
% 9.39/2.19 % (2684937)Instructions burned: 286 (million)
% 9.39/2.19 % (2684944)------------------------------
% 9.39/2.19 % (2684944)------------------------------
% 9.39/2.19 % (2684945)Instruction limit reached!
% 9.39/2.19 % (2684945)------------------------------
% 9.39/2.19 % (2684945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684945)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684945)Termination reason: Instruction limit
% 9.39/2.19 % (2684945)Termination phase: Saturation
% 9.39/2.19 % (2684945)Time elapsed: 0.168 s
% 9.39/2.19 % (2684945)Peak memory usage: 89 MB
% 9.39/2.19 % (2684945)Instructions burned: 326 (million)
% 9.39/2.19 % (2684949)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=2666839914:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.39/2.19 % (2684951)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1593973621:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.39/2.19 % (2684950)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=593174262:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.39/2.19 % (2684950)Refutation not found, incomplete strategy
% 9.39/2.19 % (2684950)------------------------------
% 9.39/2.19 % (2684950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684950)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684950)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.19 % (2684950)Time elapsed: 0.006 s
% 9.39/2.19 % (2684950)Peak memory usage: 89 MB
% 9.39/2.19 % (2684950)Instructions burned: 9 (million)
% 9.39/2.19 % (2684952)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1281819431:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.39/2.19 % (2684949)Instruction limit reached!
% 9.39/2.19 % (2684949)------------------------------
% 9.39/2.19 % (2684949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684949)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684949)Termination reason: Instruction limit
% 9.39/2.19 % (2684949)Termination phase: Saturation
% 9.39/2.19 % (2684949)Time elapsed: 0.143 s
% 9.39/2.19 % (2684949)Peak memory usage: 94 MB
% 9.39/2.19 % (2684949)Instructions burned: 249 (million)
% 9.39/2.19 % (2684952)Instruction limit reached!
% 9.39/2.19 % (2684952)------------------------------
% 9.39/2.19 % (2684952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684952)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684952)Termination reason: Instruction limit
% 9.39/2.19 % (2684952)Termination phase: Saturation
% 9.39/2.19 % (2684952)Time elapsed: 0.073 s
% 9.39/2.19 % (2684952)Peak memory usage: 91 MB
% 9.39/2.19 % (2684952)Instructions burned: 113 (million)
% 9.39/2.19 % (2684950)------------------------------
% 9.39/2.19 % (2684950)------------------------------
% 9.39/2.19 % (2684957)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2510772396:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.39/2.19 % (2684957)Instruction limit reached!
% 9.39/2.19 % (2684957)------------------------------
% 9.39/2.19 % (2684957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684957)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684957)Termination reason: Instruction limit
% 9.39/2.19 % (2684957)Termination phase: Saturation
% 9.39/2.19 % (2684957)Time elapsed: 0.062 s
% 9.39/2.19 % (2684957)Peak memory usage: 89 MB
% 9.39/2.19 % (2684957)Instructions burned: 127 (million)
% 9.39/2.19 % (2684958)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1842129046:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 9.39/2.19 % (2684958)Instruction limit reached!
% 9.39/2.19 % (2684958)------------------------------
% 9.39/2.19 % (2684958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684958)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684958)Termination reason: Instruction limit
% 9.39/2.19 % (2684958)Termination phase: Saturation
% 9.39/2.19 % (2684958)Time elapsed: 0.059 s
% 9.39/2.19 % (2684958)Peak memory usage: 89 MB
% 9.39/2.19 % (2684958)Instructions burned: 115 (million)
% 9.39/2.19 % (2684960)lrs+10_1_sil=8000:sp=occurrence:random_seed=2201358599:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.39/2.19 % (2684930)First to succeed.
% 9.39/2.19 % (2684930)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2684924"
% 9.39/2.19 % (2684931)Also succeeded, but the first one will report.
% 9.39/2.19 % (2684929)Also succeeded, but the first one will report.
% 9.39/2.19 % (2684961)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=788470492:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 9.39/2.19 % (2684961)Refutation not found, incomplete strategy
% 9.39/2.19 % (2684961)------------------------------
% 9.39/2.19 % (2684961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.19 % (2684961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.19 % (2684961)CaDiCaL version: 2.1.3
% 9.39/2.19 % (2684961)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.19 % (2684961)Time elapsed: 0.008 s
% 9.39/2.19 % (2684961)Peak memory usage: 89 MB
% 9.39/2.19 % (2684961)Instructions burned: 12 (million)
% 9.39/2.19 % (2684963)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2351464561:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.39/2.19 % (2684951)Also succeeded, but the first one will report.
% 9.39/2.19 % (2684930)Refutation found. Thanks to Tanya!
% 9.39/2.19 % SZS status Theorem for theBenchmark
% 9.39/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 9.91/2.39 % (2684930)------------------------------
% 9.91/2.39 % (2684930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/2.39 % (2684930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/2.39 % (2684930)CaDiCaL version: 2.1.3
% 9.91/2.39 % (2684930)Termination reason: Refutation
% 9.91/2.39 % (2684930)Time elapsed: 0.880 s
% 9.91/2.39 % (2684930)Peak memory usage: 132 MB
% 9.91/2.39 % (2684930)Instructions burned: 1300 (million)
% 9.91/2.39 % (2684930)------------------------------
% 9.91/2.39 % (2684930)------------------------------
% 9.91/2.39 % (2684924)Success in time 1.328 s
% 9.91/2.39 % Vampire exiting
%------------------------------------------------------------------------------