%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT332+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:02 AM UTC 2026
% Result : Theorem 16.01s 3.28s
% Output : Refutation 16.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 15
% Syntax : Number of formulae : 172 ( 41 unt; 2 def)
% Number of atoms : 752 ( 174 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 931 ( 351 ~; 412 |; 139 &)
% ( 11 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 3 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-3 aty)
% Number of variables : 161 ( 0 sgn 149 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2439,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_filter_0(X1,X0) )
=> ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_filter_0) ).
fof(f2455,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f2456,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f2506,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_filter_0) ).
fof(f2551,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_filter_0(X1,X0) )
=> ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& l3_lattices(k8_filter_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_filter_0) ).
fof(f2763,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( m2_nat_lat(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u2_lattices(X1) = k1_realset1(u2_lattices(X0),u1_struct_0(X1))
& u1_lattices(X1) = k1_realset1(u1_lattices(X0),u1_struct_0(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_nat_lat) ).
fof(f2768,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_nat_lat(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t75_nat_lat) ).
fof(f2872,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f2879,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_2(X0) = k1_filter_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_filter_2) ).
fof(f2923,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_filter_2) ).
fof(f2953,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f3009,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
=> k8_filter_0(X0,X1) = k23_filter_2(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_filter_2) ).
fof(f3011,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( k23_filter_2(X0,k17_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
& k23_filter_2(X0,k1_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_filter_2) ).
fof(f3012,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( k23_filter_2(X0,k17_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
& k23_filter_2(X0,k1_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f3011]) ).
fof(f3036,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2872]) ).
fof(f3037,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3036]) ).
fof(f3050,plain,
! [X0] :
( k1_filter_2(X0) = k1_filter_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2879]) ).
fof(f3051,plain,
! [X0] :
( k1_filter_2(X0) = k1_filter_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3050]) ).
fof(f3137,plain,
! [X0] :
( k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2923]) ).
fof(f3138,plain,
! [X0] :
( k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3137]) ).
fof(f3195,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2953]) ).
fof(f3196,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3195]) ).
fof(f3307,plain,
! [X0] :
( ! [X1] :
( k8_filter_0(X0,X1) = k23_filter_2(X0,X1)
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3009]) ).
fof(f3308,plain,
! [X0] :
( ! [X1] :
( k8_filter_0(X0,X1) = k23_filter_2(X0,X1)
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3307]) ).
fof(f3311,plain,
? [X0] :
( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k23_filter_2(X0,k17_filter_2(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k23_filter_2(X0,k1_filter_2(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f3012]) ).
fof(f3312,plain,
? [X0] :
( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k23_filter_2(X0,k17_filter_2(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k23_filter_2(X0,k1_filter_2(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f3311]) ).
fof(f3336,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2455]) ).
fof(f3337,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3336]) ).
fof(f3369,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2456]) ).
fof(f3370,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3369]) ).
fof(f3429,plain,
! [X0] :
( m2_nat_lat(X0,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2768]) ).
fof(f3430,plain,
! [X0] :
( m2_nat_lat(X0,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3429]) ).
fof(f3431,plain,
! [X0] :
( ! [X1] :
( ( m2_nat_lat(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u2_lattices(X1) = k1_realset1(u2_lattices(X0),u1_struct_0(X1))
& u1_lattices(X1) = k1_realset1(u1_lattices(X0),u1_struct_0(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2763]) ).
fof(f3432,plain,
! [X0] :
( ! [X1] :
( ( m2_nat_lat(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u2_lattices(X1) = k1_realset1(u2_lattices(X0),u1_struct_0(X1))
& u1_lattices(X1) = k1_realset1(u1_lattices(X0),u1_struct_0(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3431]) ).
fof(f3840,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& l3_lattices(k8_filter_0(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(ennf_transformation,[],[f2551]) ).
fof(f3841,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& l3_lattices(k8_filter_0(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(flattening,[],[f3840]) ).
fof(f3854,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) )
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2506]) ).
fof(f3855,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) )
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3854]) ).
fof(f3856,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(ennf_transformation,[],[f2439]) ).
fof(f3857,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(flattening,[],[f3856]) ).
fof(f4964,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3037]) ).
fof(f5031,plain,
( ( g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) != k23_filter_2(sK33,k17_filter_2(sK33))
| g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) != k23_filter_2(sK33,k1_filter_2(sK33)) )
& ~ v3_struct_0(sK33)
& v10_lattices(sK33)
& l3_lattices(sK33) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(X0,sK33)],[f3312]) ).
fof(f5072,plain,
! [X0] :
( ! [X1] :
( ( ( m2_nat_lat(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| u2_lattices(X1) != k1_realset1(u2_lattices(X0),u1_struct_0(X1))
| u1_lattices(X1) != k1_realset1(u1_lattices(X0),u1_struct_0(X1)) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u2_lattices(X1) = k1_realset1(u2_lattices(X0),u1_struct_0(X1))
& u1_lattices(X1) = k1_realset1(u1_lattices(X0),u1_struct_0(X1)) )
| ~ m2_nat_lat(X1,X0) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3432]) ).
fof(f5073,plain,
! [X0] :
( ! [X1] :
( ( ( m2_nat_lat(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| u2_lattices(X1) != k1_realset1(u2_lattices(X0),u1_struct_0(X1))
| u1_lattices(X1) != k1_realset1(u1_lattices(X0),u1_struct_0(X1)) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u2_lattices(X1) = k1_realset1(u2_lattices(X0),u1_struct_0(X1))
& u1_lattices(X1) = k1_realset1(u1_lattices(X0),u1_struct_0(X1)) )
| ~ m2_nat_lat(X1,X0) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5072]) ).
fof(f5273,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k8_filter_0(X0,X1)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(u2_lattices(X0),X1) != X3
| k1_realset1(u1_lattices(X0),X1) != X4
| g3_lattices(X1,X3,X4) != X2 ) ) )
& ( ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) )
| k8_filter_0(X0,X1) != X2 ) )
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3855]) ).
fof(f5274,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k8_filter_0(X0,X1)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(u2_lattices(X0),X1) != X3
| k1_realset1(u1_lattices(X0),X1) != X4
| g3_lattices(X1,X3,X4) != X2 ) ) )
& ( ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& ? [X6] :
( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X6,k2_zfmisc_1(X1,X1),X1)
& k1_realset1(u2_lattices(X0),X1) = X5
& k1_realset1(u1_lattices(X0),X1) = X6
& g3_lattices(X1,X5,X6) = X2 ) )
| k8_filter_0(X0,X1) != X2 ) )
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f5273]) ).
fof(f5275,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k8_filter_0(X0,X1)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(u2_lattices(X0),X1) != X3
| k1_realset1(u1_lattices(X0),X1) != X4
| g3_lattices(X1,X3,X4) != X2 ) ) )
& ( ( v1_funct_1(sK177(X0,X1,X2))
& v1_funct_2(sK177(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(sK177(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(sK178(X0,X1,X2))
& v1_funct_2(sK178(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(sK178(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
& k1_realset1(u2_lattices(X0),X1) = sK177(X0,X1,X2)
& k1_realset1(u1_lattices(X0),X1) = sK178(X0,X1,X2)
& g3_lattices(X1,sK177(X0,X1,X2),sK178(X0,X1,X2)) = X2 )
| k8_filter_0(X0,X1) != X2 ) )
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK177,sK178]),skolemize(X5,sK177(X0,X1,X2)),skolemize(X6,sK178(X0,X1,X2))],[f5274]) ).
fof(f5666,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| m1_filter_2(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4964]) ).
fof(f5675,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_0(X0) = k1_filter_2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3051]) ).
fof(f5732,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = k1_lattice2(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3138]) ).
fof(f5805,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k17_filter_2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3196]) ).
fof(f5989,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| k8_filter_0(X0,X1) = k23_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3308]) ).
fof(f5991,plain,
l3_lattices(sK33),
inference(cnf_transformation,[],[f5031]) ).
fof(f5992,plain,
v10_lattices(sK33),
inference(cnf_transformation,[],[f5031]) ).
fof(f5993,plain,
~ v3_struct_0(sK33),
inference(cnf_transformation,[],[f5031]) ).
fof(f5994,plain,
( g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) != k23_filter_2(sK33,k17_filter_2(sK33))
| g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) != k23_filter_2(sK33,k1_filter_2(sK33)) ),
inference(cnf_transformation,[],[f5031]) ).
fof(f6030,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3337]) ).
fof(f6072,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3370]) ).
fof(f6131,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_nat_lat(X0,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3430]) ).
fof(f6132,plain,
! [X0,X1] :
( ~ m2_nat_lat(X1,X0)
| u1_lattices(X1) = k1_realset1(u1_lattices(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5073]) ).
fof(f6133,plain,
! [X0,X1] :
( ~ m2_nat_lat(X1,X0)
| u2_lattices(X1) = k1_realset1(u2_lattices(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5073]) ).
fof(f6775,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| l3_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f3841]) ).
fof(f6788,plain,
! [X2,X0,X1] :
( g3_lattices(X1,sK177(X0,X1,X2),sK178(X0,X1,X2)) = X2
| k8_filter_0(X0,X1) != X2
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5275]) ).
fof(f6789,plain,
! [X2,X0,X1] :
( k1_realset1(u1_lattices(X0),X1) = sK178(X0,X1,X2)
| k8_filter_0(X0,X1) != X2
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5275]) ).
fof(f6790,plain,
! [X2,X0,X1] :
( k1_realset1(u2_lattices(X0),X1) = sK177(X0,X1,X2)
| k8_filter_0(X0,X1) != X2
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5275]) ).
fof(f6798,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v10_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f3857]) ).
fof(f6806,plain,
! [X0,X1] :
( ~ v3_struct_0(k8_filter_0(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f3857]) ).
fof(f9060,plain,
! [X0,X1] :
( k1_realset1(u2_lattices(X0),X1) = sK177(X0,X1,k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f6790]) ).
fof(f9061,plain,
! [X0,X1] :
( k1_realset1(u1_lattices(X0),X1) = sK178(X0,X1,k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f6789]) ).
fof(f9062,plain,
! [X0,X1] :
( k8_filter_0(X0,X1) = g3_lattices(X1,sK177(X0,X1,k8_filter_0(X0,X1)),sK178(X0,X1,k8_filter_0(X0,X1)))
| v3_struct_0(k8_filter_0(X0,X1))
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f6788]) ).
fof(f9458,plain,
! [X0,X1] :
( k8_filter_0(X0,X1) = g3_lattices(X1,sK177(X0,X1,k8_filter_0(X0,X1)),sK178(X0,X1,k8_filter_0(X0,X1)))
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f9062,f6806]) ).
fof(f9459,plain,
! [X0,X1] :
( k1_realset1(u1_lattices(X0),X1) = sK178(X0,X1,k8_filter_0(X0,X1))
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f9061,f6806]) ).
fof(f9460,plain,
! [X0,X1] :
( k1_realset1(u2_lattices(X0),X1) = sK177(X0,X1,k8_filter_0(X0,X1))
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f9060,f6806]) ).
fof(f9481,definition,
( spl420_5
<=> g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) = k23_filter_2(sK33,k1_filter_2(sK33)) ),
introduced(definition,[new_symbols(definition,[spl420_5])],[avatar_definition]) ).
fof(f9482,plain,
( g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) != k23_filter_2(sK33,k1_filter_2(sK33))
| spl420_5 ),
inference(avatar_component_clause,[],[f9481]) ).
fof(f9484,definition,
( spl420_6
<=> g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) = k23_filter_2(sK33,k17_filter_2(sK33)) ),
introduced(definition,[new_symbols(definition,[spl420_6])],[avatar_definition]) ).
fof(f9485,plain,
( g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) != k23_filter_2(sK33,k17_filter_2(sK33))
| spl420_6 ),
inference(avatar_component_clause,[],[f9484]) ).
fof(f9486,plain,
( ~ spl420_5
| ~ spl420_6 ),
inference(avatar_split_clause,[],[f5994,f9484,f9481]) ).
fof(f9561,plain,
! [X0,X1] :
( k8_filter_0(X0,X1) = g3_lattices(X1,sK177(X0,X1,k8_filter_0(X0,X1)),sK178(X0,X1,k8_filter_0(X0,X1)))
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f9458,f6798]) ).
fof(f9562,plain,
! [X0,X1] :
( k1_realset1(u1_lattices(X0),X1) = sK178(X0,X1,k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f9459,f6798]) ).
fof(f9563,plain,
! [X0,X1] :
( k1_realset1(u2_lattices(X0),X1) = sK177(X0,X1,k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f9460,f6798]) ).
fof(f9606,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k8_filter_0(X0,X1) = g3_lattices(X1,sK177(X0,X1,k8_filter_0(X0,X1)),sK178(X0,X1,k8_filter_0(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f9561,f6775]) ).
fof(f9607,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| k1_realset1(u1_lattices(X0),X1) = sK178(X0,X1,k8_filter_0(X0,X1))
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f9562,f6775]) ).
fof(f9608,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| k1_realset1(u2_lattices(X0),X1) = sK177(X0,X1,k8_filter_0(X0,X1))
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f9563,f6775]) ).
fof(f9642,plain,
( v3_struct_0(sK33)
| g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) = k1_lattice2(k1_lattice2(sK33))
| ~ l3_lattices(sK33) ),
inference(resolution,[],[f5992,f5732]) ).
fof(f9643,plain,
( g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) = k1_lattice2(k1_lattice2(sK33))
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f9642,f5993]) ).
fof(f9644,plain,
g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) = k1_lattice2(k1_lattice2(sK33)),
inference(forward_subsumption_resolution,[],[f9643,f5991]) ).
fof(f9646,plain,
( v3_struct_0(sK33)
| u1_struct_0(sK33) = k17_filter_2(sK33)
| ~ l3_lattices(sK33) ),
inference(resolution,[],[f5805,f5992]) ).
fof(f9647,plain,
( u1_struct_0(sK33) = k17_filter_2(sK33)
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f9646,f5993]) ).
fof(f9648,plain,
u1_struct_0(sK33) = k17_filter_2(sK33),
inference(forward_subsumption_resolution,[],[f9647,f5991]) ).
fof(f9651,plain,
( k23_filter_2(sK33,k17_filter_2(sK33)) != g3_lattices(k17_filter_2(sK33),u2_lattices(sK33),u1_lattices(sK33))
| spl420_6 ),
inference(superposition,[],[f9485,f9648]) ).
fof(f9653,plain,
( m1_filter_0(k17_filter_2(sK33),sK33)
| v3_struct_0(sK33)
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33) ),
inference(superposition,[],[f6030,f9648]) ).
fof(f9654,plain,
( m1_filter_0(k17_filter_2(sK33),sK33)
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f9653,f5993]) ).
fof(f9655,plain,
( m1_filter_0(k17_filter_2(sK33),sK33)
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f9654,f5992]) ).
fof(f9656,plain,
m1_filter_0(k17_filter_2(sK33),sK33),
inference(forward_subsumption_resolution,[],[f9655,f5991]) ).
fof(f9657,plain,
( v3_struct_0(sK33)
| u1_struct_0(sK33) = k1_filter_0(sK33)
| ~ l3_lattices(sK33) ),
inference(resolution,[],[f6072,f5992]) ).
fof(f9658,plain,
( u1_struct_0(sK33) = k1_filter_0(sK33)
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f9657,f5993]) ).
fof(f9659,plain,
u1_struct_0(sK33) = k1_filter_0(sK33),
inference(forward_subsumption_resolution,[],[f9658,f5991]) ).
fof(f9661,plain,
k17_filter_2(sK33) = k1_filter_0(sK33),
inference(superposition,[],[f9648,f9659]) ).
fof(f9662,plain,
k1_lattice2(k1_lattice2(sK33)) = g3_lattices(k1_filter_0(sK33),u2_lattices(sK33),u1_lattices(sK33)),
inference(superposition,[],[f9644,f9659]) ).
fof(f9666,plain,
m1_filter_0(k1_filter_0(sK33),sK33),
inference(superposition,[],[f9656,f9661]) ).
fof(f9668,plain,
( g3_lattices(k1_filter_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) != k23_filter_2(sK33,k1_filter_0(sK33))
| spl420_6 ),
inference(superposition,[],[f9651,f9661]) ).
fof(f9670,plain,
( k1_lattice2(k1_lattice2(sK33)) != k23_filter_2(sK33,k1_filter_0(sK33))
| spl420_6 ),
inference(forward_demodulation,[],[f9668,f9662]) ).
fof(f9700,plain,
( v3_struct_0(sK33)
| k1_filter_2(sK33) = k1_filter_0(sK33)
| ~ l3_lattices(sK33) ),
inference(resolution,[],[f5675,f5992]) ).
fof(f9701,plain,
( k1_filter_2(sK33) = k1_filter_0(sK33)
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f9700,f5993]) ).
fof(f9702,plain,
k1_filter_2(sK33) = k1_filter_0(sK33),
inference(forward_subsumption_resolution,[],[f9701,f5991]) ).
fof(f9800,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| v3_struct_0(sK33)
| m1_filter_2(X0,sK33)
| ~ l3_lattices(sK33) ),
inference(resolution,[],[f5666,f5992]) ).
fof(f9801,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| m1_filter_2(X0,sK33)
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f9800,f5993]) ).
fof(f9802,plain,
! [X0] :
( m1_filter_2(X0,sK33)
| ~ m1_filter_0(X0,sK33) ),
inference(forward_subsumption_resolution,[],[f9801,f5991]) ).
fof(f9805,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| k23_filter_2(sK33,X0) = k8_filter_0(sK33,X0)
| v3_struct_0(sK33)
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33) ),
inference(resolution,[],[f9802,f5989]) ).
fof(f9806,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| k23_filter_2(sK33,X0) = k8_filter_0(sK33,X0)
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f9805,f5993]) ).
fof(f9808,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| k23_filter_2(sK33,X0) = k8_filter_0(sK33,X0)
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f9806,f5992]) ).
fof(f9810,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| k23_filter_2(sK33,X0) = k8_filter_0(sK33,X0) ),
inference(forward_subsumption_resolution,[],[f9808,f5991]) ).
fof(f9815,plain,
k23_filter_2(sK33,k1_filter_0(sK33)) = k8_filter_0(sK33,k1_filter_0(sK33)),
inference(resolution,[],[f9810,f9666]) ).
fof(f9838,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| v3_struct_0(sK33)
| k1_realset1(u2_lattices(sK33),X0) = sK177(sK33,X0,k8_filter_0(sK33,X0))
| ~ l3_lattices(sK33) ),
inference(resolution,[],[f9608,f5992]) ).
fof(f9839,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| k1_realset1(u2_lattices(sK33),X0) = sK177(sK33,X0,k8_filter_0(sK33,X0))
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f9838,f5993]) ).
fof(f9840,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| k1_realset1(u2_lattices(sK33),X0) = sK177(sK33,X0,k8_filter_0(sK33,X0)) ),
inference(forward_subsumption_resolution,[],[f9839,f5991]) ).
fof(f9854,plain,
k1_realset1(u2_lattices(sK33),k1_filter_0(sK33)) = sK177(sK33,k1_filter_0(sK33),k8_filter_0(sK33,k1_filter_0(sK33))),
inference(resolution,[],[f9840,f9666]) ).
fof(f9874,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| v3_struct_0(sK33)
| k1_realset1(u1_lattices(sK33),X0) = sK178(sK33,X0,k8_filter_0(sK33,X0))
| ~ l3_lattices(sK33) ),
inference(resolution,[],[f9607,f5992]) ).
fof(f9875,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| k1_realset1(u1_lattices(sK33),X0) = sK178(sK33,X0,k8_filter_0(sK33,X0))
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f9874,f5993]) ).
fof(f9876,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| k1_realset1(u1_lattices(sK33),X0) = sK178(sK33,X0,k8_filter_0(sK33,X0)) ),
inference(forward_subsumption_resolution,[],[f9875,f5991]) ).
fof(f9879,plain,
k1_realset1(u1_lattices(sK33),k1_filter_0(sK33)) = sK178(sK33,k1_filter_0(sK33),k8_filter_0(sK33,k1_filter_0(sK33))),
inference(resolution,[],[f9876,f9666]) ).
fof(f10398,plain,
( k1_lattice2(k1_lattice2(sK33)) != k8_filter_0(sK33,k1_filter_0(sK33))
| spl420_6 ),
inference(superposition,[],[f9670,f9815]) ).
fof(f10715,plain,
( v3_struct_0(sK33)
| m2_nat_lat(sK33,sK33)
| ~ l3_lattices(sK33) ),
inference(resolution,[],[f6131,f5992]) ).
fof(f10718,plain,
( m2_nat_lat(sK33,sK33)
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f10715,f5993]) ).
fof(f10720,plain,
m2_nat_lat(sK33,sK33),
inference(forward_subsumption_resolution,[],[f10718,f5991]) ).
fof(f10725,plain,
( u1_lattices(sK33) = k1_realset1(u1_lattices(sK33),u1_struct_0(sK33))
| v3_struct_0(sK33)
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33)
| v3_struct_0(sK33)
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33) ),
inference(resolution,[],[f10720,f6132]) ).
fof(f10726,plain,
( u2_lattices(sK33) = k1_realset1(u2_lattices(sK33),u1_struct_0(sK33))
| v3_struct_0(sK33)
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33)
| v3_struct_0(sK33)
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33) ),
inference(resolution,[],[f10720,f6133]) ).
fof(f10727,plain,
( u2_lattices(sK33) = k1_realset1(u2_lattices(sK33),u1_struct_0(sK33))
| v3_struct_0(sK33)
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33) ),
inference(duplicate_literal_removal,[],[f10726]) ).
fof(f10728,plain,
( u1_lattices(sK33) = k1_realset1(u1_lattices(sK33),u1_struct_0(sK33))
| v3_struct_0(sK33)
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33) ),
inference(duplicate_literal_removal,[],[f10725]) ).
fof(f10730,plain,
( u2_lattices(sK33) = k1_realset1(u2_lattices(sK33),u1_struct_0(sK33))
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f10727,f5993]) ).
fof(f10731,plain,
( u1_lattices(sK33) = k1_realset1(u1_lattices(sK33),u1_struct_0(sK33))
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f10728,f5993]) ).
fof(f10734,plain,
( u2_lattices(sK33) = k1_realset1(u2_lattices(sK33),u1_struct_0(sK33))
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f10730,f5992]) ).
fof(f10735,plain,
( u1_lattices(sK33) = k1_realset1(u1_lattices(sK33),u1_struct_0(sK33))
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f10731,f5992]) ).
fof(f10738,plain,
u2_lattices(sK33) = k1_realset1(u2_lattices(sK33),u1_struct_0(sK33)),
inference(forward_subsumption_resolution,[],[f10734,f5991]) ).
fof(f10739,plain,
u1_lattices(sK33) = k1_realset1(u1_lattices(sK33),u1_struct_0(sK33)),
inference(forward_subsumption_resolution,[],[f10735,f5991]) ).
fof(f10742,plain,
u2_lattices(sK33) = k1_realset1(u2_lattices(sK33),k17_filter_2(sK33)),
inference(forward_demodulation,[],[f10738,f9648]) ).
fof(f10743,plain,
u1_lattices(sK33) = k1_realset1(u1_lattices(sK33),k17_filter_2(sK33)),
inference(forward_demodulation,[],[f10739,f9648]) ).
fof(f10745,plain,
u2_lattices(sK33) = k1_realset1(u2_lattices(sK33),k1_filter_0(sK33)),
inference(forward_demodulation,[],[f10742,f9661]) ).
fof(f10746,plain,
u1_lattices(sK33) = k1_realset1(u1_lattices(sK33),k1_filter_0(sK33)),
inference(forward_demodulation,[],[f10743,f9661]) ).
fof(f13748,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| v3_struct_0(sK33)
| ~ v10_lattices(sK33)
| k8_filter_0(sK33,X0) = g3_lattices(X0,sK177(sK33,X0,k8_filter_0(sK33,X0)),sK178(sK33,X0,k8_filter_0(sK33,X0))) ),
inference(resolution,[],[f9606,f5991]) ).
fof(f13753,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| ~ v10_lattices(sK33)
| k8_filter_0(sK33,X0) = g3_lattices(X0,sK177(sK33,X0,k8_filter_0(sK33,X0)),sK178(sK33,X0,k8_filter_0(sK33,X0))) ),
inference(forward_subsumption_resolution,[],[f13748,f5993]) ).
fof(f13756,plain,
! [X0] :
( ~ m1_filter_0(X0,sK33)
| k8_filter_0(sK33,X0) = g3_lattices(X0,sK177(sK33,X0,k8_filter_0(sK33,X0)),sK178(sK33,X0,k8_filter_0(sK33,X0))) ),
inference(forward_subsumption_resolution,[],[f13753,f5992]) ).
fof(f13757,plain,
( k8_filter_0(sK33,u1_struct_0(sK33)) = g3_lattices(u1_struct_0(sK33),sK177(sK33,u1_struct_0(sK33),k8_filter_0(sK33,u1_struct_0(sK33))),sK178(sK33,u1_struct_0(sK33),k8_filter_0(sK33,u1_struct_0(sK33))))
| v3_struct_0(sK33)
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33) ),
inference(resolution,[],[f13756,f6030]) ).
fof(f13758,plain,
k8_filter_0(sK33,k1_filter_0(sK33)) = g3_lattices(k1_filter_0(sK33),sK177(sK33,k1_filter_0(sK33),k8_filter_0(sK33,k1_filter_0(sK33))),sK178(sK33,k1_filter_0(sK33),k8_filter_0(sK33,k1_filter_0(sK33)))),
inference(resolution,[],[f13756,f9666]) ).
fof(f13763,plain,
k8_filter_0(sK33,k1_filter_0(sK33)) = g3_lattices(k1_filter_0(sK33),sK177(sK33,k1_filter_0(sK33),k8_filter_0(sK33,k1_filter_0(sK33))),k1_realset1(u1_lattices(sK33),k1_filter_0(sK33))),
inference(forward_demodulation,[],[f13758,f9879]) ).
fof(f13764,plain,
( k8_filter_0(sK33,u1_struct_0(sK33)) = g3_lattices(u1_struct_0(sK33),sK177(sK33,u1_struct_0(sK33),k8_filter_0(sK33,u1_struct_0(sK33))),sK178(sK33,u1_struct_0(sK33),k8_filter_0(sK33,u1_struct_0(sK33))))
| ~ v10_lattices(sK33)
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f13757,f5993]) ).
fof(f13767,plain,
k8_filter_0(sK33,k1_filter_0(sK33)) = g3_lattices(k1_filter_0(sK33),sK177(sK33,k1_filter_0(sK33),k8_filter_0(sK33,k1_filter_0(sK33))),u1_lattices(sK33)),
inference(forward_demodulation,[],[f13763,f10746]) ).
fof(f13768,plain,
( k8_filter_0(sK33,u1_struct_0(sK33)) = g3_lattices(u1_struct_0(sK33),sK177(sK33,u1_struct_0(sK33),k8_filter_0(sK33,u1_struct_0(sK33))),sK178(sK33,u1_struct_0(sK33),k8_filter_0(sK33,u1_struct_0(sK33))))
| ~ l3_lattices(sK33) ),
inference(forward_subsumption_resolution,[],[f13764,f5992]) ).
fof(f13770,plain,
k8_filter_0(sK33,k1_filter_0(sK33)) = g3_lattices(k1_filter_0(sK33),k1_realset1(u2_lattices(sK33),k1_filter_0(sK33)),u1_lattices(sK33)),
inference(forward_demodulation,[],[f13767,f9854]) ).
fof(f13771,plain,
k8_filter_0(sK33,u1_struct_0(sK33)) = g3_lattices(u1_struct_0(sK33),sK177(sK33,u1_struct_0(sK33),k8_filter_0(sK33,u1_struct_0(sK33))),sK178(sK33,u1_struct_0(sK33),k8_filter_0(sK33,u1_struct_0(sK33)))),
inference(forward_subsumption_resolution,[],[f13768,f5991]) ).
fof(f13773,plain,
g3_lattices(k1_filter_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) = k8_filter_0(sK33,k1_filter_0(sK33)),
inference(forward_demodulation,[],[f13770,f10745]) ).
fof(f13774,plain,
k8_filter_0(sK33,k17_filter_2(sK33)) = g3_lattices(k17_filter_2(sK33),sK177(sK33,k17_filter_2(sK33),k8_filter_0(sK33,k17_filter_2(sK33))),sK178(sK33,k17_filter_2(sK33),k8_filter_0(sK33,k17_filter_2(sK33)))),
inference(forward_demodulation,[],[f13771,f9648]) ).
fof(f13776,plain,
k1_lattice2(k1_lattice2(sK33)) = k8_filter_0(sK33,k1_filter_0(sK33)),
inference(forward_demodulation,[],[f13773,f9662]) ).
fof(f13777,plain,
k8_filter_0(sK33,k1_filter_0(sK33)) = g3_lattices(k1_filter_0(sK33),sK177(sK33,k1_filter_0(sK33),k8_filter_0(sK33,k1_filter_0(sK33))),sK178(sK33,k1_filter_0(sK33),k8_filter_0(sK33,k1_filter_0(sK33)))),
inference(forward_demodulation,[],[f13774,f9661]) ).
fof(f13781,plain,
k8_filter_0(sK33,k1_filter_0(sK33)) = g3_lattices(k1_filter_0(sK33),sK177(sK33,k1_filter_0(sK33),k8_filter_0(sK33,k1_filter_0(sK33))),k1_realset1(u1_lattices(sK33),k1_filter_0(sK33))),
inference(forward_demodulation,[],[f13777,f9879]) ).
fof(f13784,plain,
k8_filter_0(sK33,k1_filter_0(sK33)) = g3_lattices(k1_filter_0(sK33),sK177(sK33,k1_filter_0(sK33),k8_filter_0(sK33,k1_filter_0(sK33))),u1_lattices(sK33)),
inference(forward_demodulation,[],[f13781,f10746]) ).
fof(f13785,plain,
k8_filter_0(sK33,k1_filter_0(sK33)) = g3_lattices(k1_filter_0(sK33),k1_realset1(u2_lattices(sK33),k1_filter_0(sK33)),u1_lattices(sK33)),
inference(forward_demodulation,[],[f13784,f9854]) ).
fof(f13786,plain,
g3_lattices(k1_filter_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) = k8_filter_0(sK33,k1_filter_0(sK33)),
inference(forward_demodulation,[],[f13785,f10745]) ).
fof(f13787,plain,
k1_lattice2(k1_lattice2(sK33)) = k8_filter_0(sK33,k1_filter_0(sK33)),
inference(forward_demodulation,[],[f13786,f9662]) ).
fof(f13788,plain,
( $false
| spl420_6 ),
inference(forward_subsumption_resolution,[],[f13787,f10398]) ).
fof(f13789,plain,
spl420_6,
inference(avatar_contradiction_clause,[],[f13788]) ).
fof(f13790,plain,
( g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) != k23_filter_2(sK33,k1_filter_0(sK33))
| spl420_5 ),
inference(forward_demodulation,[],[f9482,f9702]) ).
fof(f13791,plain,
( g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) != k8_filter_0(sK33,k1_filter_0(sK33))
| spl420_5 ),
inference(forward_demodulation,[],[f13790,f9815]) ).
fof(f13792,plain,
( g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) != k1_lattice2(k1_lattice2(sK33))
| spl420_5 ),
inference(forward_demodulation,[],[f13791,f13776]) ).
fof(f13793,plain,
( $false
| spl420_5 ),
inference(forward_subsumption_resolution,[],[f13792,f9644]) ).
fof(f13794,plain,
spl420_5,
inference(avatar_contradiction_clause,[],[f13793]) ).
cnf(s3,plain,
( ~ spl420_5
| ~ spl420_6 ),
inference(sat_conversion,[],[f9486]) ).
cnf(s256,plain,
spl420_6,
inference(sat_conversion,[],[f13789]) ).
cnf(s257,plain,
spl420_5,
inference(sat_conversion,[],[f13794]) ).
cnf(s442,plain,
$false,
inference(rat,[],[s3,s256,s257]) ).
fof(f13795,plain,
$false,
inference(avatar_sat_refutation,[],[s442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT332+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n026.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 14:45:42 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.69/2.64 % (2912480)Detected formulas, will run a generic FOF schedule.
% 11.69/2.64 % (2912490)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2182145536:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 11.69/2.64 % (2912488)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=109743007:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 11.69/2.64 % (2912489)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3789446526:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 11.69/2.64 % (2912487)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=3889288700:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 11.69/2.64 % (2912486)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=939027526:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 11.69/2.64 % (2912490)Instruction limit reached!
% 11.69/2.64 % (2912490)------------------------------
% 11.69/2.64 % (2912490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/2.64 % (2912490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/2.64 % (2912490)CaDiCaL version: 2.1.3
% 11.69/2.64 % (2912490)Termination reason: Instruction limit
% 11.69/2.64 % (2912490)Termination phase: Saturation
% 11.69/2.64 % (2912490)Time elapsed: 0.044 s
% 11.69/2.64 % (2912490)Peak memory usage: 93 MB
% 11.69/2.64 % (2912490)Instructions burned: 121 (million)
% 11.69/2.64 % (2912492)dis-21_1_sil=8000:lcm=predicate:random_seed=713645800:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 11.69/2.64 % (2912491)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4099085116:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 11.69/2.64 % (2912489)Refutation not found, incomplete strategy
% 11.69/2.64 % (2912489)------------------------------
% 11.69/2.64 % (2912489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/2.64 % (2912489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/2.64 % (2912489)CaDiCaL version: 2.1.3
% 11.69/2.64 % (2912489)Termination reason: Refutation not found, incomplete strategy
% 11.69/2.64 % (2912489)Time elapsed: 0.013 s
% 11.69/2.64 % (2912489)Peak memory usage: 92 MB
% 11.69/2.64 % (2912489)Instructions burned: 14 (million)
% 11.69/2.64 % (2912492)Instruction limit reached!
% 11.69/2.64 % (2912492)------------------------------
% 11.69/2.64 % (2912492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/2.64 % (2912492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/2.64 % (2912492)CaDiCaL version: 2.1.3
% 11.69/2.64 % (2912492)Termination reason: Instruction limit
% 11.69/2.64 % (2912492)Termination phase: Property scanning
% 11.69/2.64 % (2912492)Time elapsed: 0.081 s
% 11.69/2.64 % (2912492)Peak memory usage: 93 MB
% 11.69/2.64 % (2912492)Instructions burned: 131 (million)
% 11.69/2.64 % (2912498)lrs+10_1_sil=8000:sp=occurrence:random_seed=1016293928:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.69/2.64 % (2912491)Instruction limit reached!
% 11.69/2.64 % (2912491)------------------------------
% 11.69/2.64 % (2912491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/2.64 % (2912491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/2.64 % (2912491)CaDiCaL version: 2.1.3
% 11.69/2.64 % (2912491)Termination reason: Instruction limit
% 11.69/2.64 % (2912491)Termination phase: Clausification
% 11.69/2.64 % (2912491)Time elapsed: 0.089 s
% 11.69/2.64 % (2912491)Peak memory usage: 94 MB
% 11.69/2.64 % (2912491)Instructions burned: 140 (million)
% 11.69/2.64 % (2912498)Instruction limit reached!
% 11.69/2.64 % (2912498)------------------------------
% 11.69/2.64 % (2912498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/2.64 % (2912498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/2.64 % (2912498)CaDiCaL version: 2.1.3
% 11.69/2.64 % (2912498)Termination reason: Instruction limit
% 11.69/2.64 % (2912498)Termination phase: Saturation
% 11.69/2.64 % (2912498)Time elapsed: 0.099 s
% 11.69/2.64 % (2912498)Peak memory usage: 95 MB
% 11.69/2.64 % (2912498)Instructions burned: 285 (million)
% 16.01/3.28 % (2912502)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2799606007:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 16.01/3.28 % (2912503)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2692036181:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 16.01/3.28 % (2912489)------------------------------
% 16.01/3.28 % (2912489)------------------------------
% 16.01/3.28 % (2912503)Refutation not found, incomplete strategy
% 16.01/3.28 % (2912503)------------------------------
% 16.01/3.28 % (2912503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912503)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912503)Termination reason: Refutation not found, incomplete strategy
% 16.01/3.28 % (2912503)Time elapsed: 0.014 s
% 16.01/3.28 % (2912503)Peak memory usage: 92 MB
% 16.01/3.28 % (2912503)Instructions burned: 15 (million)
% 16.01/3.28 % (2912502)Refutation not found, incomplete strategy
% 16.01/3.28 % (2912502)------------------------------
% 16.01/3.28 % (2912502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912502)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912502)Termination reason: Refutation not found, incomplete strategy
% 16.01/3.28 % (2912502)Time elapsed: 0.026 s
% 16.01/3.28 % (2912502)Peak memory usage: 92 MB
% 16.01/3.28 % (2912502)Instructions burned: 45 (million)
% 16.01/3.28 % (2912504)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=4124306020:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 16.01/3.28 % (2912504)Instruction limit reached!
% 16.01/3.28 % (2912504)------------------------------
% 16.01/3.28 % (2912504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912504)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912504)Termination reason: Instruction limit
% 16.01/3.28 % (2912504)Termination phase: Saturation
% 16.01/3.28 % (2912504)Time elapsed: 0.079 s
% 16.01/3.28 % (2912504)Peak memory usage: 97 MB
% 16.01/3.28 % (2912504)Instructions burned: 251 (million)
% 16.01/3.28 % (2912507)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1304520582:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 16.01/3.28 % (2912509)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2010592206:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 16.01/3.28 % (2912503)------------------------------
% 16.01/3.28 % (2912503)------------------------------
% 16.01/3.28 % (2912502)------------------------------
% 16.01/3.28 % (2912502)------------------------------
% 16.01/3.28 % (2912507)Instruction limit reached!
% 16.01/3.28 % (2912507)------------------------------
% 16.01/3.28 % (2912507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912507)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912507)Termination reason: Instruction limit
% 16.01/3.28 % (2912507)Termination phase: Saturation
% 16.01/3.28 % (2912507)Time elapsed: 0.172 s
% 16.01/3.28 % (2912507)Peak memory usage: 95 MB
% 16.01/3.28 % (2912507)Instructions burned: 295 (million)
% 16.01/3.28 % (2912512)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3184071899:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 16.01/3.28 % (2912513)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1752473273:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 16.01/3.28 % (2912512)Instruction limit reached!
% 16.01/3.28 % (2912512)------------------------------
% 16.01/3.28 % (2912512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912512)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912512)Termination reason: Instruction limit
% 16.01/3.28 % (2912512)Termination phase: Saturation
% 16.01/3.28 % (2912512)Time elapsed: 0.064 s
% 16.01/3.28 % (2912512)Peak memory usage: 93 MB
% 16.01/3.28 % (2912512)Instructions burned: 114 (million)
% 16.01/3.28 % (2912514)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=876011271:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 16.01/3.28 % (2912513)Instruction limit reached!
% 16.01/3.28 % (2912513)------------------------------
% 16.01/3.28 % (2912513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912513)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912513)Termination reason: Instruction limit
% 16.01/3.28 % (2912513)Termination phase: Property scanning
% 16.01/3.28 % (2912513)Time elapsed: 0.078 s
% 16.01/3.28 % (2912513)Peak memory usage: 94 MB
% 16.01/3.28 % (2912513)Instructions burned: 127 (million)
% 16.01/3.28 % (2912514)Instruction limit reached!
% 16.01/3.28 % (2912514)------------------------------
% 16.01/3.28 % (2912514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912514)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912514)Termination reason: Instruction limit
% 16.01/3.28 % (2912514)Termination phase: Property scanning
% 16.01/3.28 % (2912514)Time elapsed: 0.061 s
% 16.01/3.28 % (2912514)Peak memory usage: 91 MB
% 16.01/3.28 % (2912514)Instructions burned: 117 (million)
% 16.01/3.28 % (2912517)lrs+10_1_sil=8000:sp=occurrence:random_seed=564251269:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 16.01/3.28 % (2912519)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=808040094:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 16.01/3.28 % (2912520)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3794536573:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 16.01/3.28 % (2912519)Refutation not found, incomplete strategy
% 16.01/3.28 % (2912519)------------------------------
% 16.01/3.28 % (2912519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912519)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912519)Termination reason: Refutation not found, incomplete strategy
% 16.01/3.28 % (2912519)Time elapsed: 0.071 s
% 16.01/3.28 % (2912519)Peak memory usage: 94 MB
% 16.01/3.28 % (2912519)Instructions burned: 117 (million)
% 16.01/3.28 % (2912519)------------------------------
% 16.01/3.28 % (2912519)------------------------------
% 16.01/3.28 % (2912509)Instruction limit reached!
% 16.01/3.28 % (2912509)------------------------------
% 16.01/3.28 % (2912509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912509)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912509)Termination reason: Instruction limit
% 16.01/3.28 % (2912509)Termination phase: Saturation
% 16.01/3.28 % (2912509)Time elapsed: 0.796 s
% 16.01/3.28 % (2912509)Peak memory usage: 191 MB
% 16.01/3.28 % (2912509)Instructions burned: 2351 (million)
% 16.01/3.28 % (2912524)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1352676587:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 16.01/3.28 % (2912525)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1754752273:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 16.01/3.28 % (2912524)Instruction limit reached!
% 16.01/3.28 % (2912524)------------------------------
% 16.01/3.28 % (2912524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912524)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912524)Termination reason: Instruction limit
% 16.01/3.28 % (2912524)Termination phase: Saturation
% 16.01/3.28 % (2912524)Time elapsed: 0.082 s
% 16.01/3.28 % (2912524)Peak memory usage: 94 MB
% 16.01/3.28 % (2912524)Instructions burned: 135 (million)
% 16.01/3.28 % (2912517)Instruction limit reached!
% 16.01/3.28 % (2912517)------------------------------
% 16.01/3.28 % (2912517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912517)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912517)Termination reason: Instruction limit
% 16.01/3.28 % (2912517)Termination phase: Saturation
% 16.01/3.28 % (2912517)Time elapsed: 0.585 s
% 16.01/3.28 % (2912517)Peak memory usage: 106 MB
% 16.01/3.28 % (2912517)Instructions burned: 907 (million)
% 16.01/3.28 % (2912525)Instruction limit reached!
% 16.01/3.28 % (2912525)------------------------------
% 16.01/3.28 % (2912525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912525)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912525)Termination reason: Instruction limit
% 16.01/3.28 % (2912525)Termination phase: Saturation
% 16.01/3.28 % (2912525)Time elapsed: 0.154 s
% 16.01/3.28 % (2912525)Peak memory usage: 103 MB
% 16.01/3.28 % (2912525)Instructions burned: 593 (million)
% 16.01/3.28 % (2912528)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2269214508:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 16.01/3.28 % (2912529)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3316863256:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 16.01/3.28 % (2912530)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1156534020:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 16.01/3.28 % (2912530)Instruction limit reached!
% 16.01/3.28 % (2912530)------------------------------
% 16.01/3.28 % (2912530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912530)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912530)Termination reason: Instruction limit
% 16.01/3.28 % (2912530)Termination phase: Preprocessing 3
% 16.01/3.28 % (2912530)Time elapsed: 0.040 s
% 16.01/3.28 % (2912530)Peak memory usage: 92 MB
% 16.01/3.28 % (2912530)Instructions burned: 136 (million)
% 16.01/3.28 % (2912529)Instruction limit reached!
% 16.01/3.28 % (2912529)------------------------------
% 16.01/3.28 % (2912529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912529)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912529)Termination reason: Instruction limit
% 16.01/3.28 % (2912529)Termination phase: Property scanning
% 16.01/3.28 % (2912529)Time elapsed: 0.069 s
% 16.01/3.28 % (2912529)Peak memory usage: 91 MB
% 16.01/3.28 % (2912529)Instructions burned: 125 (million)
% 16.01/3.28 % (2912534)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3929069869:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 16.01/3.28 % (2912534)Refutation not found, incomplete strategy
% 16.01/3.28 % (2912534)------------------------------
% 16.01/3.28 % (2912534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912534)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912534)Termination reason: Refutation not found, incomplete strategy
% 16.01/3.28 % (2912534)Time elapsed: 0.007 s
% 16.01/3.28 % (2912534)Peak memory usage: 91 MB
% 16.01/3.28 % (2912534)Instructions burned: 13 (million)
% 16.01/3.28 % (2912535)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3215313956:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 16.01/3.28 % (2912535)Refutation not found, incomplete strategy
% 16.01/3.28 % (2912535)------------------------------
% 16.01/3.28 % (2912535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/3.28 % (2912535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/3.28 % (2912535)CaDiCaL version: 2.1.3
% 16.01/3.28 % (2912535)Termination reason: Refutation not found, incomplete strategy
% 16.01/3.28 % (2912535)Time elapsed: 0.019 s
% 16.01/3.28 % (2912535)Peak memory usage: 92 MB
% 16.01/3.28 % (2912535)Instructions burned: 23 (million)
% 16.01/3.28 % (2912487)First to succeed.
% 16.01/3.28 % (2912487)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2912480"
% 16.01/3.28 % (2912534)------------------------------
% 16.01/3.28 % (2912534)------------------------------
% 16.01/3.28 % (2912538)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3182580038:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 16.01/3.28 % (2912535)------------------------------
% 16.01/3.28 % (2912535)------------------------------
% 16.01/3.28 % (2912487)Refutation found. Thanks to Tanya!
% 16.01/3.28 % SZS status Theorem for theBenchmark
% 16.01/3.28 % SZS output start Proof for theBenchmark
% See solution above
% 16.75/3.38 % (2912487)------------------------------
% 16.75/3.38 % (2912487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.75/3.38 % (2912487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.75/3.38 % (2912487)CaDiCaL version: 2.1.3
% 16.75/3.38 % (2912487)Termination reason: Refutation
% 16.75/3.38 % (2912487)Time elapsed: 1.840 s
% 16.75/3.38 % (2912487)Peak memory usage: 167 MB
% 16.75/3.38 % (2912487)Instructions burned: 2869 (million)
% 16.75/3.38 % (2912487)------------------------------
% 16.75/3.38 % (2912487)------------------------------
% 16.75/3.38 % (2912480)Success in time 2.398 s
% 16.75/3.38 % Vampire exiting
%------------------------------------------------------------------------------