%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT291+3 : 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 : n008.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 11:46:35 AM UTC 2026
% Result : Theorem 8.53s 2.75s
% Output : Refutation 10.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 22
% Syntax : Number of formulae : 174 ( 45 unt; 3 def)
% Number of atoms : 582 ( 84 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 673 ( 265 ~; 310 |; 75 &)
% ( 4 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 4 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 110 ( 0 sgn 108 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f64,axiom,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
fof(f1394,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(f2017,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f3551,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).
fof(f6740,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f6742,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f6757,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_lattices(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f6758,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f6788,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f8588,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f8673,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f12299,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lattice4) ).
fof(f12344,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ( v1_relat_1(k8_lopclset(X0))
& v1_funct_1(k8_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_lopclset) ).
fof(f12345,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ( v1_funct_1(k9_lopclset(X0))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_lopclset) ).
fof(f12346,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k9_lopclset(X0) = k8_lopclset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).
fof(f12374,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k7_lopclset(X0) = a_1_1_lopclset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lopclset) ).
fof(f12392,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lopclset) ).
fof(f12403,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_lopclset) ).
fof(f12404,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) = k7_lopclset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lopclset) ).
fof(f12405,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) = k7_lopclset(X0) ),
inference(negated_conjecture,[status(cth)],[f12404]) ).
fof(f12463,plain,
! [X0] :
( ( v1_relat_1(k8_lopclset(X0))
& v1_funct_1(k8_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12344]) ).
fof(f12464,plain,
! [X0] :
( ( v1_relat_1(k8_lopclset(X0))
& v1_funct_1(k8_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f12463]) ).
fof(f12465,plain,
! [X0] :
( ( v1_funct_1(k9_lopclset(X0))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& m2_relset_1(k9_lopclset(X0),u1_struct_0(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,[],[f12345]) ).
fof(f12466,plain,
! [X0] :
( ( v1_funct_1(k9_lopclset(X0))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& m2_relset_1(k9_lopclset(X0),u1_struct_0(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,[],[f12465]) ).
fof(f12467,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12346]) ).
fof(f12468,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f12467]) ).
fof(f12517,plain,
! [X0] :
( k7_lopclset(X0) = a_1_1_lopclset(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12374]) ).
fof(f12518,plain,
! [X0] :
( k7_lopclset(X0) = a_1_1_lopclset(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f12517]) ).
fof(f12551,plain,
! [X0] :
( ! [X1] :
( k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12392]) ).
fof(f12552,plain,
! [X0] :
( ! [X1] :
( k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f12551]) ).
fof(f12567,plain,
! [X0] :
( k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12403]) ).
fof(f12568,plain,
! [X0] :
( k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f12567]) ).
fof(f12569,plain,
? [X0] :
( k7_lopclset(X0) != k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0))
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f12405]) ).
fof(f12570,plain,
? [X0] :
( k7_lopclset(X0) != k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0))
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f12569]) ).
fof(f12584,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8673]) ).
fof(f12585,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f12584]) ).
fof(f12586,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8588]) ).
fof(f12587,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f12586]) ).
fof(f12838,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6788]) ).
fof(f13111,plain,
! [X0] :
( k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12299]) ).
fof(f13112,plain,
! [X0] :
( k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13111]) ).
fof(f13421,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f2017]) ).
fof(f13422,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f13421]) ).
fof(f13434,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f6758]) ).
fof(f13435,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f13434]) ).
fof(f13440,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f6740]) ).
fof(f13452,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f6757]) ).
fof(f13453,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f13452]) ).
fof(f13458,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6742]) ).
fof(f14890,plain,
( k7_lopclset(sK19) != k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k6_lattices(sK19))
& ~ v3_struct_0(sK19)
& v10_lattices(sK19)
& v17_lattices(sK19)
& ~ v3_realset2(sK19)
& l3_lattices(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f12570]) ).
fof(f15264,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,[],[f1394]) ).
fof(f15709,plain,
! [X0] :
( v1_funct_1(k8_lopclset(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12464]) ).
fof(f15711,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12466]) ).
fof(f15712,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12466]) ).
fof(f15714,plain,
! [X0] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| k8_lopclset(X0) = k9_lopclset(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12468]) ).
fof(f15768,plain,
! [X0] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| k7_lopclset(X0) = a_1_1_lopclset(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12518]) ).
fof(f15805,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12552]) ).
fof(f15820,plain,
! [X0] :
( k1_xboole_0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12568]) ).
fof(f15821,plain,
l3_lattices(sK19),
inference(cnf_transformation,[],[f14890]) ).
fof(f15822,plain,
~ v3_realset2(sK19),
inference(cnf_transformation,[],[f14890]) ).
fof(f15823,plain,
v17_lattices(sK19),
inference(cnf_transformation,[],[f14890]) ).
fof(f15824,plain,
v10_lattices(sK19),
inference(cnf_transformation,[],[f14890]) ).
fof(f15825,plain,
~ v3_struct_0(sK19),
inference(cnf_transformation,[],[f14890]) ).
fof(f15826,plain,
k7_lopclset(sK19) != k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k6_lattices(sK19)),
inference(cnf_transformation,[],[f14890]) ).
fof(f15854,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12585]) ).
fof(f15855,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12587]) ).
fof(f16267,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f12838]) ).
fof(f16789,plain,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f64]) ).
fof(f16796,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k6_lattices(X0) = k7_lattices(X0,k5_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13112]) ).
fof(f17283,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| k1_funct_1(X2,X3) = k8_funct_2(X0,X1,X2,X3)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f13422]) ).
fof(f17292,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f15264]) ).
fof(f17317,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13435]) ).
fof(f17321,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f13440]) ).
fof(f17338,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13453]) ).
fof(f17341,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f13458]) ).
fof(f17342,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13458]) ).
fof(f18659,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f3551]) ).
fof(f19268,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| np__0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) ),
inference(definition_unfolding,[],[f15820,f18659]) ).
fof(f19464,plain,
! [X0] : k4_xboole_0(X0,np__0) = X0,
inference(definition_unfolding,[],[f16789,f18659]) ).
fof(f20768,plain,
( v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ v17_lattices(sK19)
| v3_realset2(sK19)
| np__0 = k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k5_lattices(sK19)) ),
inference(resolution,[],[f15821,f19268]) ).
fof(f20769,plain,
( ~ v10_lattices(sK19)
| ~ v17_lattices(sK19)
| v3_realset2(sK19)
| np__0 = k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k5_lattices(sK19)) ),
inference(forward_subsumption_resolution,[],[f20768,f15825]) ).
fof(f20770,plain,
( ~ v17_lattices(sK19)
| v3_realset2(sK19)
| np__0 = k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k5_lattices(sK19)) ),
inference(forward_subsumption_resolution,[],[f20769,f15824]) ).
fof(f20771,plain,
( v3_realset2(sK19)
| np__0 = k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k5_lattices(sK19)) ),
inference(forward_subsumption_resolution,[],[f20770,f15823]) ).
fof(f20772,plain,
np__0 = k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k5_lattices(sK19)),
inference(forward_subsumption_resolution,[],[f20771,f15822]) ).
fof(f20773,plain,
( v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ v17_lattices(sK19)
| k9_lopclset(sK19) = k8_lopclset(sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f15714,f15822]) ).
fof(f20774,plain,
( ~ v10_lattices(sK19)
| ~ v17_lattices(sK19)
| k9_lopclset(sK19) = k8_lopclset(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20773,f15825]) ).
fof(f20775,plain,
( ~ v17_lattices(sK19)
| k9_lopclset(sK19) = k8_lopclset(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20774,f15824]) ).
fof(f20776,plain,
( k9_lopclset(sK19) = k8_lopclset(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20775,f15823]) ).
fof(f20777,plain,
k9_lopclset(sK19) = k8_lopclset(sK19),
inference(forward_subsumption_resolution,[],[f20776,f15821]) ).
fof(f20779,plain,
k7_lopclset(sK19) != k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k8_lopclset(sK19),k6_lattices(sK19)),
inference(superposition,[],[f15826,f20777]) ).
fof(f20785,plain,
( v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ v17_lattices(sK19)
| k7_lopclset(sK19) = a_1_1_lopclset(sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f15768,f15822]) ).
fof(f20786,plain,
( ~ v10_lattices(sK19)
| ~ v17_lattices(sK19)
| k7_lopclset(sK19) = a_1_1_lopclset(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20785,f15825]) ).
fof(f20787,plain,
( ~ v17_lattices(sK19)
| k7_lopclset(sK19) = a_1_1_lopclset(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20786,f15824]) ).
fof(f20788,plain,
( k7_lopclset(sK19) = a_1_1_lopclset(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20787,f15823]) ).
fof(f20789,plain,
k7_lopclset(sK19) = a_1_1_lopclset(sK19),
inference(forward_subsumption_resolution,[],[f20788,f15821]) ).
fof(f20790,plain,
a_1_1_lopclset(sK19) != k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),k6_lattices(sK19)),
inference(superposition,[],[f20779,f20789]) ).
fof(f20791,plain,
np__0 = k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k9_lopclset(sK19),k5_lattices(sK19)),
inference(superposition,[],[f20772,f20789]) ).
fof(f20794,plain,
np__0 = k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),k5_lattices(sK19)),
inference(forward_demodulation,[],[f20791,f20777]) ).
fof(f20822,plain,
( v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| v1_funct_2(k9_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)))
| v3_realset2(sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f15712,f15823]) ).
fof(f20823,plain,
( ~ v10_lattices(sK19)
| v1_funct_2(k9_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)))
| v3_realset2(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20822,f15825]) ).
fof(f20824,plain,
( v1_funct_2(k9_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)))
| v3_realset2(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20823,f15824]) ).
fof(f20825,plain,
( v1_funct_2(k9_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20824,f15822]) ).
fof(f20826,plain,
v1_funct_2(k9_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19))),
inference(forward_subsumption_resolution,[],[f20825,f15821]) ).
fof(f20827,plain,
v1_funct_2(k9_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19))),
inference(forward_demodulation,[],[f20826,f20789]) ).
fof(f20828,plain,
v1_funct_2(k8_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19))),
inference(forward_demodulation,[],[f20827,f20777]) ).
fof(f20829,plain,
( v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| m2_relset_1(k9_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)))
| v3_realset2(sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f15711,f15823]) ).
fof(f20830,plain,
( ~ v10_lattices(sK19)
| m2_relset_1(k9_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)))
| v3_realset2(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20829,f15825]) ).
fof(f20831,plain,
( m2_relset_1(k9_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)))
| v3_realset2(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20830,f15824]) ).
fof(f20832,plain,
( m2_relset_1(k9_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19)))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20831,f15822]) ).
fof(f20833,plain,
m2_relset_1(k9_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(k7_lopclset(sK19))),
inference(forward_subsumption_resolution,[],[f20832,f15821]) ).
fof(f20834,plain,
m2_relset_1(k9_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19))),
inference(forward_demodulation,[],[f20833,f20789]) ).
fof(f20835,plain,
m2_relset_1(k8_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19))),
inference(forward_demodulation,[],[f20834,f20777]) ).
fof(f20856,plain,
l2_lattices(sK19),
inference(resolution,[],[f17341,f15821]) ).
fof(f20857,plain,
( v3_struct_0(sK19)
| m1_subset_1(k6_lattices(sK19),u1_struct_0(sK19)) ),
inference(resolution,[],[f20856,f17317]) ).
fof(f20858,plain,
m1_subset_1(k6_lattices(sK19),u1_struct_0(sK19)),
inference(forward_subsumption_resolution,[],[f20857,f15825]) ).
fof(f20877,plain,
( v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| k6_lattices(sK19) = k7_lattices(sK19,k5_lattices(sK19))
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f16796,f15823]) ).
fof(f20878,plain,
( ~ v10_lattices(sK19)
| k6_lattices(sK19) = k7_lattices(sK19,k5_lattices(sK19))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20877,f15825]) ).
fof(f20879,plain,
( k6_lattices(sK19) = k7_lattices(sK19,k5_lattices(sK19))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f20878,f15824]) ).
fof(f20880,plain,
k6_lattices(sK19) = k7_lattices(sK19,k5_lattices(sK19)),
inference(forward_subsumption_resolution,[],[f20879,f15821]) ).
fof(f20972,plain,
m1_relset_1(k8_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19))),
inference(resolution,[],[f17292,f20835]) ).
fof(f20973,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK19))
| ~ v1_funct_1(k8_lopclset(sK19))
| ~ v1_funct_2(k8_lopclset(sK19),u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)))
| k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),X0) = k1_funct_1(k8_lopclset(sK19),X0)
| ~ m1_subset_1(X0,u1_struct_0(sK19)) ),
inference(resolution,[],[f20972,f17283]) ).
fof(f20974,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK19))
| ~ v1_funct_1(k8_lopclset(sK19))
| k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),X0) = k1_funct_1(k8_lopclset(sK19),X0)
| ~ m1_subset_1(X0,u1_struct_0(sK19)) ),
inference(forward_subsumption_resolution,[],[f20973,f20828]) ).
fof(f20976,definition,
( spl510_25
<=> ! [X0] :
( k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),X0) = k1_funct_1(k8_lopclset(sK19),X0)
| ~ m1_subset_1(X0,u1_struct_0(sK19)) ) ),
introduced(definition,[new_symbols(definition,[spl510_25])],[avatar_definition]) ).
fof(f20977,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),X0) = k1_funct_1(k8_lopclset(sK19),X0) )
| ~ spl510_25 ),
inference(avatar_component_clause,[],[f20976]) ).
fof(f20979,definition,
( spl510_26
<=> v1_funct_1(k8_lopclset(sK19)) ),
introduced(definition,[new_symbols(definition,[spl510_26])],[avatar_definition]) ).
fof(f20980,plain,
( ~ v1_funct_1(k8_lopclset(sK19))
| spl510_26 ),
inference(avatar_component_clause,[],[f20979]) ).
fof(f20982,definition,
( spl510_27
<=> v1_xboole_0(u1_struct_0(sK19)) ),
introduced(definition,[new_symbols(definition,[spl510_27])],[avatar_definition]) ).
fof(f20983,plain,
( v1_xboole_0(u1_struct_0(sK19))
| ~ spl510_27 ),
inference(avatar_component_clause,[],[f20982]) ).
fof(f20984,plain,
( spl510_25
| ~ spl510_26
| spl510_27 ),
inference(avatar_split_clause,[],[f20974,f20982,f20979,f20976]) ).
fof(f20986,plain,
( v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ v17_lattices(sK19)
| v3_realset2(sK19)
| ~ l3_lattices(sK19)
| spl510_26 ),
inference(resolution,[],[f20980,f15709]) ).
fof(f20988,plain,
( ~ v10_lattices(sK19)
| ~ v17_lattices(sK19)
| v3_realset2(sK19)
| ~ l3_lattices(sK19)
| spl510_26 ),
inference(forward_subsumption_resolution,[],[f20986,f15825]) ).
fof(f20989,plain,
( ~ v17_lattices(sK19)
| v3_realset2(sK19)
| ~ l3_lattices(sK19)
| spl510_26 ),
inference(forward_subsumption_resolution,[],[f20988,f15824]) ).
fof(f20990,plain,
( v3_realset2(sK19)
| ~ l3_lattices(sK19)
| spl510_26 ),
inference(forward_subsumption_resolution,[],[f20989,f15823]) ).
fof(f20991,plain,
( ~ l3_lattices(sK19)
| spl510_26 ),
inference(forward_subsumption_resolution,[],[f20990,f15822]) ).
fof(f20992,plain,
( $false
| spl510_26 ),
inference(forward_subsumption_resolution,[],[f20991,f15821]) ).
fof(f20993,plain,
spl510_26,
inference(avatar_contradiction_clause,[],[f20992]) ).
fof(f20994,plain,
( k8_funct_2(u1_struct_0(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),k6_lattices(sK19)) = k1_funct_1(k8_lopclset(sK19),k6_lattices(sK19))
| ~ spl510_25 ),
inference(resolution,[],[f20977,f20858]) ).
fof(f20998,plain,
( a_1_1_lopclset(sK19) != k1_funct_1(k8_lopclset(sK19),k6_lattices(sK19))
| ~ spl510_25 ),
inference(superposition,[],[f20790,f20994]) ).
fof(f21053,plain,
( ! [X0] :
( ~ m1_filter_0(u1_struct_0(sK19),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl510_27 ),
inference(resolution,[],[f20983,f15854]) ).
fof(f21054,plain,
( v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19)
| v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19)
| ~ spl510_27 ),
inference(resolution,[],[f21053,f15855]) ).
fof(f21055,plain,
( v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19)
| ~ spl510_27 ),
inference(duplicate_literal_removal,[],[f21054]) ).
fof(f21056,plain,
( ~ v10_lattices(sK19)
| ~ l3_lattices(sK19)
| ~ spl510_27 ),
inference(forward_subsumption_resolution,[],[f21055,f15825]) ).
fof(f21057,plain,
( ~ l3_lattices(sK19)
| ~ spl510_27 ),
inference(forward_subsumption_resolution,[],[f21056,f15824]) ).
fof(f21058,plain,
( $false
| ~ spl510_27 ),
inference(forward_subsumption_resolution,[],[f21057,f15821]) ).
fof(f21059,plain,
~ spl510_27,
inference(avatar_contradiction_clause,[],[f21058]) ).
fof(f21095,plain,
l1_struct_0(sK19),
inference(resolution,[],[f17321,f20856]) ).
fof(f21098,plain,
u1_struct_0(sK19) = k2_pre_topc(sK19),
inference(resolution,[],[f21095,f16267]) ).
fof(f21109,plain,
np__0 = k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),k5_lattices(sK19)),
inference(superposition,[],[f20794,f21098]) ).
fof(f21123,plain,
( k1_funct_1(k8_lopclset(sK19),k6_lattices(sK19)) = k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),k6_lattices(sK19))
| ~ spl510_25 ),
inference(superposition,[],[f20994,f21098]) ).
fof(f21129,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK19))
| k4_xboole_0(k7_lopclset(sK19),k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),X0)) = k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k7_lattices(sK19,X0))
| v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ v17_lattices(sK19)
| v3_realset2(sK19)
| ~ l3_lattices(sK19) ),
inference(superposition,[],[f15805,f21098]) ).
fof(f21130,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK19))
| k4_xboole_0(k7_lopclset(sK19),k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),X0)) = k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k7_lattices(sK19,X0))
| ~ v10_lattices(sK19)
| ~ v17_lattices(sK19)
| v3_realset2(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f21129,f15825]) ).
fof(f21140,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK19))
| k4_xboole_0(k7_lopclset(sK19),k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),X0)) = k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k7_lattices(sK19,X0))
| ~ v17_lattices(sK19)
| v3_realset2(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f21130,f15824]) ).
fof(f21146,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK19))
| k4_xboole_0(k7_lopclset(sK19),k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),X0)) = k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k7_lattices(sK19,X0))
| v3_realset2(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f21140,f15823]) ).
fof(f21150,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK19))
| k4_xboole_0(k7_lopclset(sK19),k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),X0)) = k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k7_lattices(sK19,X0))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f21146,f15822]) ).
fof(f21151,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK19))
| k4_xboole_0(k7_lopclset(sK19),k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),X0)) = k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k9_lopclset(sK19),k7_lattices(sK19,X0)) ),
inference(forward_subsumption_resolution,[],[f21150,f15821]) ).
fof(f21152,plain,
! [X0] :
( k4_xboole_0(k7_lopclset(sK19),k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k8_lopclset(sK19),X0)) = k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(k7_lopclset(sK19)),k8_lopclset(sK19),k7_lattices(sK19,X0))
| ~ m1_subset_1(X0,k2_pre_topc(sK19)) ),
inference(forward_demodulation,[],[f21151,f20777]) ).
fof(f21153,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK19))
| k4_xboole_0(a_1_1_lopclset(sK19),k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),X0)) = k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),k7_lattices(sK19,X0)) ),
inference(forward_demodulation,[],[f21152,f20789]) ).
fof(f21230,plain,
! [X0] :
( ~ l3_lattices(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution,[],[f17338,f17342]) ).
fof(f21231,plain,
( m1_subset_1(k5_lattices(sK19),u1_struct_0(sK19))
| v3_struct_0(sK19) ),
inference(resolution,[],[f21230,f15821]) ).
fof(f21233,plain,
m1_subset_1(k5_lattices(sK19),u1_struct_0(sK19)),
inference(forward_subsumption_resolution,[],[f21231,f15825]) ).
fof(f21234,plain,
m1_subset_1(k5_lattices(sK19),k2_pre_topc(sK19)),
inference(forward_demodulation,[],[f21233,f21098]) ).
fof(f21237,plain,
k4_xboole_0(a_1_1_lopclset(sK19),k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),k5_lattices(sK19))) = k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),k7_lattices(sK19,k5_lattices(sK19))),
inference(resolution,[],[f21234,f21153]) ).
fof(f21238,plain,
k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),k6_lattices(sK19)) = k4_xboole_0(a_1_1_lopclset(sK19),k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),k5_lattices(sK19))),
inference(forward_demodulation,[],[f21237,f20880]) ).
fof(f21241,plain,
k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),k6_lattices(sK19)) = k4_xboole_0(a_1_1_lopclset(sK19),np__0),
inference(forward_demodulation,[],[f21238,f21109]) ).
fof(f21242,plain,
a_1_1_lopclset(sK19) = k8_funct_2(k2_pre_topc(sK19),k1_zfmisc_1(a_1_1_lopclset(sK19)),k8_lopclset(sK19),k6_lattices(sK19)),
inference(forward_demodulation,[],[f21241,f19464]) ).
fof(f21252,plain,
( a_1_1_lopclset(sK19) = k1_funct_1(k8_lopclset(sK19),k6_lattices(sK19))
| ~ spl510_25 ),
inference(superposition,[],[f21242,f21123]) ).
fof(f21256,plain,
( $false
| ~ spl510_25 ),
inference(forward_subsumption_resolution,[],[f21252,f20998]) ).
fof(f21257,plain,
~ spl510_25,
inference(avatar_contradiction_clause,[],[f21256]) ).
cnf(s15,plain,
( spl510_25
| ~ spl510_26
| spl510_27 ),
inference(sat_conversion,[],[f20984]) ).
cnf(s17,plain,
spl510_26,
inference(sat_conversion,[],[f20993]) ).
cnf(s20,plain,
~ spl510_27,
inference(sat_conversion,[],[f21059]) ).
cnf(s28,plain,
~ spl510_25,
inference(sat_conversion,[],[f21257]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s15,s20,s17,s28]) ).
fof(f21258,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT291+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n008.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 14:17:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 8.53/2.75 % (1261389)Detected formulas, will run a generic FOF schedule.
% 8.53/2.75 % (1261395)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=1365706866:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 8.53/2.75 % (1261394)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=944475795:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 8.53/2.75 % (1261396)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=1828190334:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 8.53/2.75 % (1261397)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4082147706:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 8.53/2.75 % (1261400)dis-21_1_sil=8000:lcm=predicate:random_seed=4190536591: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)
% 8.53/2.75 % (1261398)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2636001856:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 8.53/2.75 % (1261399)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2132240666:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 8.53/2.75 % (1261399)Instruction limit reached!
% 8.53/2.75 % (1261399)------------------------------
% 8.53/2.75 % (1261399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.75 % (1261399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.75 % (1261399)CaDiCaL version: 2.1.3
% 8.53/2.75 % (1261399)Termination reason: Instruction limit
% 8.53/2.75 % (1261399)Termination phase: Property scanning
% 8.53/2.75 % (1261399)Time elapsed: 0.058 s
% 8.53/2.75 % (1261399)Peak memory usage: 100 MB
% 8.53/2.75 % (1261399)Instructions burned: 140 (million)
% 8.53/2.75 % (1261397)Refutation not found, incomplete strategy
% 8.53/2.75 % (1261397)------------------------------
% 8.53/2.75 % (1261397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.75 % (1261397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.75 % (1261397)CaDiCaL version: 2.1.3
% 8.53/2.75 % (1261397)Termination reason: Refutation not found, incomplete strategy
% 8.53/2.75 % (1261397)Time elapsed: 0.060 s
% 8.53/2.75 % (1261397)Peak memory usage: 105 MB
% 8.53/2.75 % (1261397)Instructions burned: 75 (million)
% 8.53/2.75 % (1261398)Instruction limit reached!
% 8.53/2.75 % (1261398)------------------------------
% 8.53/2.75 % (1261398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.75 % (1261398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.75 % (1261398)CaDiCaL version: 2.1.3
% 8.53/2.75 % (1261398)Termination reason: Instruction limit
% 8.53/2.75 % (1261398)Termination phase: Saturation
% 8.53/2.75 % (1261398)Time elapsed: 0.085 s
% 8.53/2.75 % (1261398)Peak memory usage: 105 MB
% 8.53/2.75 % (1261398)Instructions burned: 121 (million)
% 8.53/2.75 % (1261400)Instruction limit reached!
% 8.53/2.75 % (1261400)------------------------------
% 8.53/2.75 % (1261400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.75 % (1261400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.75 % (1261400)CaDiCaL version: 2.1.3
% 8.53/2.75 % (1261400)Termination reason: Instruction limit
% 8.53/2.75 % (1261400)Termination phase: Preprocessing 1
% 8.53/2.75 % (1261400)Time elapsed: 0.099 s
% 8.53/2.75 % (1261400)Peak memory usage: 102 MB
% 8.53/2.75 % (1261400)Instructions burned: 130 (million)
% 8.53/2.75 % (1261408)lrs+10_1_sil=8000:sp=occurrence:random_seed=2021230029:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 8.53/2.75 % (1261409)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2730958183:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 8.53/2.75 % (1261410)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1847265352:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 8.53/2.75 % (1261409)Instruction limit reached!
% 8.53/2.75 % (1261409)------------------------------
% 8.53/2.75 % (1261409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.75 % (1261409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.75 % (1261409)CaDiCaL version: 2.1.3
% 8.53/2.75 % (1261409)Termination reason: Instruction limit
% 8.53/2.75 % (1261409)Termination phase: SInE selection
% 8.53/2.75 % (1261409)Time elapsed: 0.066 s
% 8.53/2.75 % (1261409)Peak memory usage: 101 MB
% 8.53/2.75 % (1261409)Instructions burned: 157 (million)
% 8.53/2.75 % (1261397)------------------------------
% 8.53/2.75 % (1261397)------------------------------
% 8.53/2.75 % (1261408)Instruction limit reached!
% 8.53/2.75 % (1261408)------------------------------
% 8.53/2.75 % (1261408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.75 % (1261408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.75 % (1261408)CaDiCaL version: 2.1.3
% 8.53/2.75 % (1261408)Termination reason: Instruction limit
% 8.53/2.75 % (1261408)Termination phase: Saturation
% 8.53/2.75 % (1261408)Time elapsed: 0.205 s
% 8.53/2.75 % (1261408)Peak memory usage: 108 MB
% 8.53/2.75 % (1261408)Instructions burned: 286 (million)
% 8.53/2.75 % (1261414)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=826986810:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 8.53/2.75 % (1261415)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3239588676:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 8.53/2.75 % (1261410)Instruction limit reached!
% 8.53/2.75 % (1261410)------------------------------
% 8.53/2.75 % (1261410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.75 % (1261410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.75 % (1261410)CaDiCaL version: 2.1.3
% 8.53/2.75 % (1261410)Termination reason: Instruction limit
% 8.53/2.75 % (1261410)Termination phase: Saturation
% 8.53/2.75 % (1261410)Time elapsed: 0.222 s
% 8.53/2.75 % (1261410)Peak memory usage: 107 MB
% 8.53/2.75 % (1261410)Instructions burned: 325 (million)
% 8.53/2.75 % (1261416)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=798251126:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 8.53/2.75 % (1261414)Instruction limit reached!
% 8.53/2.75 % (1261414)------------------------------
% 8.53/2.75 % (1261414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.75 % (1261414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.75 % (1261414)CaDiCaL version: 2.1.3
% 8.53/2.75 % (1261414)Termination reason: Instruction limit
% 8.53/2.75 % (1261414)Termination phase: SInE selection
% 8.53/2.75 % (1261414)Time elapsed: 0.140 s
% 8.53/2.75 % (1261414)Peak memory usage: 101 MB
% 8.53/2.75 % (1261414)Instructions burned: 248 (million)
% 8.53/2.75 % (1261419)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=463970749:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 8.53/2.75 % (1261415)Instruction limit reached!
% 8.53/2.75 % (1261415)------------------------------
% 8.53/2.75 % (1261415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.75 % (1261415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.75 % (1261415)CaDiCaL version: 2.1.3
% 8.53/2.75 % (1261415)Termination reason: Instruction limit
% 8.53/2.75 % (1261415)Termination phase: Saturation
% 8.53/2.75 % (1261415)Time elapsed: 0.191 s
% 8.53/2.75 % (1261415)Peak memory usage: 109 MB
% 8.53/2.75 % (1261415)Instructions burned: 295 (million)
% 8.53/2.75 % (1261419)Instruction limit reached!
% 8.53/2.75 % (1261419)------------------------------
% 8.53/2.75 % (1261419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.75 % (1261419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.75 % (1261419)CaDiCaL version: 2.1.3
% 8.53/2.75 % (1261419)Termination reason: Instruction limit
% 8.53/2.75 % (1261419)Termination phase: Preprocessing 3
% 8.53/2.75 % (1261419)Time elapsed: 0.093 s
% 8.53/2.75 % (1261419)Peak memory usage: 104 MB
% 8.53/2.75 % (1261419)Instructions burned: 114 (million)
% 8.53/2.75 % (1261421)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2382457900:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 8.53/2.75 % (1261423)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1513683219:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 8.53/2.75 % (1261421)Instruction limit reached!
% 8.53/2.75 % (1261421)------------------------------
% 8.53/2.75 % (1261421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.75 % (1261421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.75 % (1261421)CaDiCaL version: 2.1.3
% 8.53/2.75 % (1261421)Termination reason: Instruction limit
% 8.53/2.75 % (1261421)Termination phase: Preprocessing 2
% 8.53/2.75 % (1261421)Time elapsed: 0.100 s
% 8.53/2.75 % (1261421)Peak memory usage: 107 MB
% 8.53/2.75 % (1261421)Instructions burned: 127 (million)
% 8.53/2.75 % (1261423)Instruction limit reached!
% 8.53/2.75 % (1261423)------------------------------
% 8.53/2.75 % (1261423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.75 % (1261423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.75 % (1261423)CaDiCaL version: 2.1.3
% 8.53/2.75 % (1261423)Termination reason: Instruction limit
% 8.53/2.75 % (1261423)Termination phase: Property scanning
% 8.53/2.75 % (1261423)Time elapsed: 0.051 s
% 8.53/2.75 % (1261423)Peak memory usage: 101 MB
% 8.53/2.75 % (1261423)Instructions burned: 116 (million)
% 8.53/2.75 % (1261424)lrs+10_1_sil=8000:sp=occurrence:random_seed=1097370092:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 8.53/2.75 % (1261395)First to succeed.
% 8.53/2.75 % (1261395)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1261389"
% 8.53/2.75 % (1261427)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=468553592:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 8.53/2.75 % (1261428)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2513463990:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 8.53/2.75 % (1261395)Refutation found. Thanks to Tanya!
% 8.53/2.75 % SZS status Theorem for theBenchmark
% 8.53/2.75 % SZS output start Proof for theBenchmark
% See solution above
% 10.38/2.95 % (1261395)------------------------------
% 10.38/2.95 % (1261395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.95 % (1261395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.95 % (1261395)CaDiCaL version: 2.1.3
% 10.38/2.95 % (1261395)Termination reason: Refutation
% 10.38/2.95 % (1261395)Time elapsed: 0.996 s
% 10.38/2.95 % (1261395)Peak memory usage: 200 MB
% 10.38/2.95 % (1261395)Instructions burned: 2764 (million)
% 10.38/2.95 % (1261395)------------------------------
% 10.38/2.95 % (1261395)------------------------------
% 10.38/2.95 % (1261389)Success in time 1.9 s
% 10.38/2.95 % Vampire exiting
%------------------------------------------------------------------------------