%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT323+2 : 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 : n006.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 11:46:56 AM UTC 2026
% Result : Theorem 11.88s 2.80s
% Output : Refutation 13.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 27
% Syntax : Number of formulae : 217 ( 36 unt; 8 def)
% Number of atoms : 926 ( 75 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1142 ( 433 ~; 457 |; 190 &)
% ( 22 <=>; 38 =>; 0 <=; 2 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 9 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-2 aty)
% Number of variables : 218 ( 0 sgn 203 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2427,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_lattices) ).
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/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f2504,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v1_filter_0(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_filter_0) ).
fof(f2564,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f2569,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f2597,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f2669,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f2857,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
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/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f2873,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f2902,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f2903,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f2936,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k5_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f2942,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f2960,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_filter_2) ).
fof(f2988,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v12_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(f2990,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_lattice2(X0)))
=> ( k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1)
& k7_lattices(X0,k6_filter_2(X0,X2)) = k7_lattices(k1_lattice2(X0),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_filter_2) ).
fof(f2992,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> ( X1 != u1_struct_0(X0)
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_filter_2) ).
fof(f2994,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_filter_2) ).
fof(f2995,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2994]) ).
fof(f3019,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(f3020,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,[],[f3019]) ).
fof(f3021,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2873]) ).
fof(f3022,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3021]) ).
fof(f3079,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f2902]) ).
fof(f3080,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f3079]) ).
fof(f3081,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f2903]) ).
fof(f3082,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f3081]) ).
fof(f3144,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2936]) ).
fof(f3145,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3144]) ).
fof(f3156,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2942]) ).
fof(f3157,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3156]) ).
fof(f3192,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2960]) ).
fof(f3193,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3192]) ).
fof(f3248,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v12_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2988]) ).
fof(f3249,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v12_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3248]) ).
fof(f3252,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1)
& k7_lattices(X0,k6_filter_2(X0,X2)) = k7_lattices(k1_lattice2(X0),X2) )
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2990]) ).
fof(f3253,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1)
& k7_lattices(X0,k6_filter_2(X0,X2)) = k7_lattices(k1_lattice2(X0),X2) )
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3252]) ).
fof(f3256,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> ( X1 != u1_struct_0(X0)
& ! [X2] :
( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2992]) ).
fof(f3257,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> ( X1 != u1_struct_0(X0)
& ! [X2] :
( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3256]) ).
fof(f3260,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(X2,X1)
<~> ~ r2_hidden(k7_lattices(X0,X2),X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2995]) ).
fof(f3261,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(X2,X1)
<~> ~ r2_hidden(k7_lattices(X0,X2),X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f3260]) ).
fof(f3271,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2857]) ).
fof(f3272,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3271]) ).
fof(f3318,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(f3319,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3318]) ).
fof(f3384,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f3387,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2569]) ).
fof(f3388,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3387]) ).
fof(f3389,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2564]) ).
fof(f3390,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3389]) ).
fof(f3556,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2597]) ).
fof(f3557,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3556]) ).
fof(f3666,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f2427]) ).
fof(f3667,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f3666]) ).
fof(f3746,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2504]) ).
fof(f3747,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3746]) ).
fof(f4913,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,[],[f3020]) ).
fof(f4947,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3193]) ).
fof(f4964,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| u1_struct_0(X0) = X1
| ? [X2] :
( ~ r2_hidden(X2,X1)
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ( X1 != u1_struct_0(X0)
& ! [X2] :
( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3257]) ).
fof(f4965,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| u1_struct_0(X0) = X1
| ? [X2] :
( ~ r2_hidden(X2,X1)
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ( X1 != u1_struct_0(X0)
& ! [X2] :
( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f4964]) ).
fof(f4966,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| u1_struct_0(X0) = X1
| ? [X2] :
( ~ r2_hidden(X2,X1)
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ( X1 != u1_struct_0(X0)
& ! [X3] :
( r2_hidden(X3,X1)
| r2_hidden(k7_lattices(X0,X3),X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f4965]) ).
fof(f4967,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| u1_struct_0(X0) = X1
| ( ~ r2_hidden(sK26(X0,X1),X1)
& ~ r2_hidden(k7_lattices(X0,sK26(X0,X1)),X1)
& m1_subset_1(sK26(X0,X1),u1_struct_0(X0)) ) )
& ( ( X1 != u1_struct_0(X0)
& ! [X3] :
( r2_hidden(X3,X1)
| r2_hidden(k7_lattices(X0,X3),X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X2,sK26(X0,X1))],[f4966]) ).
fof(f4970,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1) )
& ( ~ r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(nnf_transformation,[],[f3261]) ).
fof(f4971,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1) )
& ( ~ r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f4970]) ).
fof(f4972,plain,
( ( r2_hidden(k7_lattices(sK27,sK29),sK28)
| ~ r2_hidden(sK29,sK28) )
& ( ~ r2_hidden(k7_lattices(sK27,sK29),sK28)
| r2_hidden(sK29,sK28) )
& m1_subset_1(sK29,u1_struct_0(sK27))
& r2_filter_2(sK27,sK28)
& m2_filter_2(sK28,sK27)
& ~ v3_struct_0(sK27)
& v10_lattices(sK27)
& v17_lattices(sK27)
& l3_lattices(sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28,sK29]),skolemize(X0,sK27),skolemize(X1,sK28),skolemize(X2,sK29)],[f4971]) ).
fof(f5189,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,X1)
| r2_hidden(k7_lattices(X0,X2),X1) )
& ( ~ r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3747]) ).
fof(f5606,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4913]) ).
fof(f5608,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| m2_lattice4(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3022]) ).
fof(f5641,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f3080]) ).
fof(f5642,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f3082]) ).
fof(f5707,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k5_filter_2(X0,X1) = X1
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3145]) ).
fof(f5721,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k7_filter_2(X0,X1) = X1
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3157]) ).
fof(f5762,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4947]) ).
fof(f5840,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3249]) ).
fof(f5858,plain,
! [X2,X0,X1] :
( ~ v17_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k7_lattices(X0,X1) = k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3253]) ).
fof(f5860,plain,
! [X3,X0,X1] :
( ~ v17_lattices(X0)
| r2_hidden(k7_lattices(X0,X3),X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| r2_hidden(X3,X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4967]) ).
fof(f5868,plain,
l3_lattices(sK27),
inference(cnf_transformation,[],[f4972]) ).
fof(f5869,plain,
v17_lattices(sK27),
inference(cnf_transformation,[],[f4972]) ).
fof(f5870,plain,
v10_lattices(sK27),
inference(cnf_transformation,[],[f4972]) ).
fof(f5871,plain,
~ v3_struct_0(sK27),
inference(cnf_transformation,[],[f4972]) ).
fof(f5872,plain,
m2_filter_2(sK28,sK27),
inference(cnf_transformation,[],[f4972]) ).
fof(f5873,plain,
r2_filter_2(sK27,sK28),
inference(cnf_transformation,[],[f4972]) ).
fof(f5874,plain,
m1_subset_1(sK29,u1_struct_0(sK27)),
inference(cnf_transformation,[],[f4972]) ).
fof(f5875,plain,
( ~ r2_hidden(k7_lattices(sK27,sK29),sK28)
| r2_hidden(sK29,sK28) ),
inference(cnf_transformation,[],[f4972]) ).
fof(f5876,plain,
( r2_hidden(k7_lattices(sK27,sK29),sK28)
| ~ r2_hidden(sK29,sK28) ),
inference(cnf_transformation,[],[f4972]) ).
fof(f5897,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3272]) ).
fof(f5954,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3319]) ).
fof(f6029,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3384]) ).
fof(f6032,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3388]) ).
fof(f6042,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3390]) ).
fof(f6293,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3557]) ).
fof(f6467,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3667]) ).
fof(f6559,plain,
! [X2,X0,X1] :
( ~ v1_filter_0(X1,X0)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(k7_lattices(X0,X2),X1)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5189]) ).
fof(f9326,definition,
( spl416_5
<=> r2_hidden(sK29,sK28) ),
introduced(definition,[new_symbols(definition,[spl416_5])],[avatar_definition]) ).
fof(f9327,plain,
( r2_hidden(sK29,sK28)
| ~ spl416_5 ),
inference(avatar_component_clause,[],[f9326]) ).
fof(f9329,definition,
( spl416_6
<=> r2_hidden(k7_lattices(sK27,sK29),sK28) ),
introduced(definition,[new_symbols(definition,[spl416_6])],[avatar_definition]) ).
fof(f9330,plain,
( ~ r2_hidden(k7_lattices(sK27,sK29),sK28)
| spl416_6 ),
inference(avatar_component_clause,[],[f9329]) ).
fof(f9331,plain,
( spl416_5
| ~ spl416_6 ),
inference(avatar_split_clause,[],[f5875,f9329,f9326]) ).
fof(f9332,plain,
( ~ r2_hidden(sK29,sK28)
| spl416_5 ),
inference(avatar_component_clause,[],[f9326]) ).
fof(f9333,plain,
( r2_hidden(k7_lattices(sK27,sK29),sK28)
| ~ spl416_6 ),
inference(avatar_component_clause,[],[f9329]) ).
fof(f9334,plain,
( ~ spl416_5
| spl416_6 ),
inference(avatar_split_clause,[],[f5876,f9329,f9326]) ).
fof(f9479,plain,
( $false
| spl416_5
| spl416_6 ),
inference(unit_resulting_resolution,[],[f5860,f5868,f5869,f5870,f5871,f9332,f5872,f5873,f5874,f9330]) ).
fof(f9481,plain,
( spl416_5
| spl416_6 ),
inference(avatar_contradiction_clause,[],[f9479]) ).
fof(f9498,plain,
( v3_struct_0(sK27)
| u1_struct_0(sK27) = k1_filter_0(sK27)
| ~ l3_lattices(sK27) ),
inference(resolution,[],[f5954,f5870]) ).
fof(f9499,plain,
( u1_struct_0(sK27) = k1_filter_0(sK27)
| ~ l3_lattices(sK27) ),
inference(forward_subsumption_resolution,[],[f9498,f5871]) ).
fof(f9500,plain,
u1_struct_0(sK27) = k1_filter_0(sK27),
inference(forward_subsumption_resolution,[],[f9499,f5868]) ).
fof(f9502,plain,
m1_subset_1(sK29,k1_filter_0(sK27)),
inference(superposition,[],[f5874,f9500]) ).
fof(f9507,plain,
! [X0] :
( m1_subset_1(k7_lattices(sK27,X0),k1_filter_0(sK27))
| v3_struct_0(sK27)
| ~ l3_lattices(sK27)
| ~ m1_subset_1(X0,k1_filter_0(sK27)) ),
inference(superposition,[],[f6467,f9500]) ).
fof(f9510,plain,
! [X0] :
( m1_subset_1(k7_lattices(sK27,X0),k1_filter_0(sK27))
| ~ l3_lattices(sK27)
| ~ m1_subset_1(X0,k1_filter_0(sK27)) ),
inference(forward_subsumption_resolution,[],[f9507,f5871]) ).
fof(f9515,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK27))
| m1_subset_1(k7_lattices(sK27,X0),k1_filter_0(sK27)) ),
inference(forward_subsumption_resolution,[],[f9510,f5868]) ).
fof(f9545,plain,
! [X0] :
( v3_struct_0(sK27)
| k7_filter_2(sK27,X0) = k15_filter_2(sK27,X0)
| ~ l3_lattices(sK27)
| ~ m2_filter_2(X0,sK27) ),
inference(resolution,[],[f5642,f5870]) ).
fof(f9546,plain,
! [X0] :
( k7_filter_2(sK27,X0) = k15_filter_2(sK27,X0)
| ~ l3_lattices(sK27)
| ~ m2_filter_2(X0,sK27) ),
inference(forward_subsumption_resolution,[],[f9545,f5871]) ).
fof(f9547,plain,
! [X0] :
( ~ m2_filter_2(X0,sK27)
| k7_filter_2(sK27,X0) = k15_filter_2(sK27,X0) ),
inference(forward_subsumption_resolution,[],[f9546,f5868]) ).
fof(f9548,plain,
k7_filter_2(sK27,sK28) = k15_filter_2(sK27,sK28),
inference(resolution,[],[f9547,f5872]) ).
fof(f9554,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK27))
| v3_struct_0(sK27)
| k5_filter_2(sK27,X0) = X0
| ~ l3_lattices(sK27) ),
inference(resolution,[],[f5707,f5870]) ).
fof(f9555,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK27))
| k5_filter_2(sK27,X0) = X0
| ~ l3_lattices(sK27) ),
inference(forward_subsumption_resolution,[],[f9554,f5871]) ).
fof(f9556,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK27))
| k5_filter_2(sK27,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f9555,f5868]) ).
fof(f9557,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK27))
| k5_filter_2(sK27,X0) = X0 ),
inference(forward_demodulation,[],[f9556,f9500]) ).
fof(f9558,plain,
! [X0] :
( ~ r2_filter_2(sK27,X0)
| ~ m2_filter_2(X0,sK27)
| v3_struct_0(sK27)
| v1_filter_0(k15_filter_2(sK27,X0),k1_lattice2(sK27))
| ~ l3_lattices(sK27) ),
inference(resolution,[],[f5762,f5870]) ).
fof(f9559,plain,
! [X0] :
( ~ r2_filter_2(sK27,X0)
| ~ m2_filter_2(X0,sK27)
| v1_filter_0(k15_filter_2(sK27,X0),k1_lattice2(sK27))
| ~ l3_lattices(sK27) ),
inference(forward_subsumption_resolution,[],[f9558,f5871]) ).
fof(f9560,plain,
! [X0] :
( ~ r2_filter_2(sK27,X0)
| ~ m2_filter_2(X0,sK27)
| v1_filter_0(k15_filter_2(sK27,X0),k1_lattice2(sK27)) ),
inference(forward_subsumption_resolution,[],[f9559,f5868]) ).
fof(f9561,plain,
( ~ m2_filter_2(sK28,sK27)
| v1_filter_0(k15_filter_2(sK27,sK28),k1_lattice2(sK27)) ),
inference(resolution,[],[f9560,f5873]) ).
fof(f9562,plain,
v1_filter_0(k15_filter_2(sK27,sK28),k1_lattice2(sK27)),
inference(forward_subsumption_resolution,[],[f9561,f5872]) ).
fof(f9563,plain,
v1_filter_0(k7_filter_2(sK27,sK28),k1_lattice2(sK27)),
inference(forward_demodulation,[],[f9562,f9548]) ).
fof(f9573,definition,
( spl416_14
<=> v10_lattices(k1_lattice2(sK27)) ),
introduced(definition,[new_symbols(definition,[spl416_14])],[avatar_definition]) ).
fof(f9574,plain,
( ~ v10_lattices(k1_lattice2(sK27))
| spl416_14 ),
inference(avatar_component_clause,[],[f9573]) ).
fof(f9576,definition,
( spl416_15
<=> v3_struct_0(k1_lattice2(sK27)) ),
introduced(definition,[new_symbols(definition,[spl416_15])],[avatar_definition]) ).
fof(f9577,plain,
( v3_struct_0(k1_lattice2(sK27))
| ~ spl416_15 ),
inference(avatar_component_clause,[],[f9576]) ).
fof(f9595,plain,
( v3_struct_0(sK27)
| u1_struct_0(sK27) = u1_struct_0(k1_lattice2(sK27)) ),
inference(resolution,[],[f6293,f5868]) ).
fof(f9596,plain,
u1_struct_0(sK27) = u1_struct_0(k1_lattice2(sK27)),
inference(forward_subsumption_resolution,[],[f9595,f5871]) ).
fof(f9597,plain,
k1_filter_0(sK27) = u1_struct_0(k1_lattice2(sK27)),
inference(forward_demodulation,[],[f9596,f9500]) ).
fof(f9629,plain,
! [X0] :
( ~ m2_filter_2(X0,sK27)
| v3_struct_0(sK27)
| m2_lattice4(X0,sK27)
| ~ l3_lattices(sK27) ),
inference(resolution,[],[f5608,f5870]) ).
fof(f9630,plain,
! [X0] :
( ~ m2_filter_2(X0,sK27)
| m2_lattice4(X0,sK27)
| ~ l3_lattices(sK27) ),
inference(forward_subsumption_resolution,[],[f9629,f5871]) ).
fof(f9631,plain,
! [X0] :
( ~ m2_filter_2(X0,sK27)
| m2_lattice4(X0,sK27) ),
inference(forward_subsumption_resolution,[],[f9630,f5868]) ).
fof(f9632,plain,
m2_lattice4(sK28,sK27),
inference(resolution,[],[f9631,f5872]) ).
fof(f9651,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK27)))
| ~ m1_subset_1(X1,u1_struct_0(sK27))
| v3_struct_0(sK27)
| ~ v10_lattices(sK27)
| k7_lattices(sK27,X1) = k7_lattices(k1_lattice2(sK27),k5_filter_2(sK27,X1))
| ~ l3_lattices(sK27) ),
inference(resolution,[],[f5858,f5869]) ).
fof(f9652,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK27)))
| ~ m1_subset_1(X1,u1_struct_0(sK27))
| ~ v10_lattices(sK27)
| k7_lattices(sK27,X1) = k7_lattices(k1_lattice2(sK27),k5_filter_2(sK27,X1))
| ~ l3_lattices(sK27) ),
inference(forward_subsumption_resolution,[],[f9651,f5871]) ).
fof(f9653,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK27)))
| ~ m1_subset_1(X1,u1_struct_0(sK27))
| k7_lattices(sK27,X1) = k7_lattices(k1_lattice2(sK27),k5_filter_2(sK27,X1))
| ~ l3_lattices(sK27) ),
inference(forward_subsumption_resolution,[],[f9652,f5870]) ).
fof(f9654,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK27)))
| ~ m1_subset_1(X1,u1_struct_0(sK27))
| k7_lattices(sK27,X1) = k7_lattices(k1_lattice2(sK27),k5_filter_2(sK27,X1)) ),
inference(forward_subsumption_resolution,[],[f9653,f5868]) ).
fof(f9655,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK27))
| ~ m1_subset_1(X1,u1_struct_0(sK27))
| k7_lattices(sK27,X1) = k7_lattices(k1_lattice2(sK27),k5_filter_2(sK27,X1)) ),
inference(forward_demodulation,[],[f9654,f9597]) ).
fof(f9656,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_0(sK27))
| ~ m1_subset_1(X0,k1_filter_0(sK27))
| k7_lattices(sK27,X1) = k7_lattices(k1_lattice2(sK27),k5_filter_2(sK27,X1)) ),
inference(forward_demodulation,[],[f9655,f9500]) ).
fof(f9658,definition,
( spl416_21
<=> ! [X0] : ~ m1_subset_1(X0,k1_filter_0(sK27)) ),
introduced(definition,[new_symbols(definition,[spl416_21])],[avatar_definition]) ).
fof(f9659,plain,
( ! [X0] : ~ m1_subset_1(X0,k1_filter_0(sK27))
| ~ spl416_21 ),
inference(avatar_component_clause,[],[f9658]) ).
fof(f9661,definition,
( spl416_22
<=> ! [X1] :
( ~ m1_subset_1(X1,k1_filter_0(sK27))
| k7_lattices(sK27,X1) = k7_lattices(k1_lattice2(sK27),k5_filter_2(sK27,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl416_22])],[avatar_definition]) ).
fof(f9662,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_filter_0(sK27))
| k7_lattices(sK27,X1) = k7_lattices(k1_lattice2(sK27),k5_filter_2(sK27,X1)) )
| ~ spl416_22 ),
inference(avatar_component_clause,[],[f9661]) ).
fof(f9663,plain,
( spl416_21
| spl416_22 ),
inference(avatar_split_clause,[],[f9656,f9661,f9658]) ).
fof(f9665,plain,
( $false
| ~ spl416_21 ),
inference(unit_resulting_resolution,[],[f9515,f9502,f9659]) ).
fof(f9671,plain,
~ spl416_21,
inference(avatar_contradiction_clause,[],[f9665]) ).
fof(f9677,plain,
( v3_struct_0(sK27)
| ~ v10_lattices(sK27)
| v17_lattices(k1_lattice2(sK27))
| ~ l3_lattices(sK27) ),
inference(resolution,[],[f5840,f5869]) ).
fof(f9678,plain,
( ~ v10_lattices(sK27)
| v17_lattices(k1_lattice2(sK27))
| ~ l3_lattices(sK27) ),
inference(forward_subsumption_resolution,[],[f9677,f5871]) ).
fof(f9679,plain,
( v17_lattices(k1_lattice2(sK27))
| ~ l3_lattices(sK27) ),
inference(forward_subsumption_resolution,[],[f9678,f5870]) ).
fof(f9680,plain,
v17_lattices(k1_lattice2(sK27)),
inference(forward_subsumption_resolution,[],[f9679,f5868]) ).
fof(f9691,plain,
sK29 = k5_filter_2(sK27,sK29),
inference(resolution,[],[f9557,f9502]) ).
fof(f9693,plain,
! [X0] :
( ~ m2_lattice4(X0,sK27)
| v3_struct_0(sK27)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK27)))
| ~ l3_lattices(sK27) ),
inference(resolution,[],[f5897,f5870]) ).
fof(f9694,plain,
! [X0] :
( ~ m2_lattice4(X0,sK27)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK27)))
| ~ l3_lattices(sK27) ),
inference(forward_subsumption_resolution,[],[f9693,f5871]) ).
fof(f9695,plain,
! [X0] :
( ~ m2_lattice4(X0,sK27)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK27))) ),
inference(forward_subsumption_resolution,[],[f9694,f5868]) ).
fof(f9696,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK27)))
| ~ m2_lattice4(X0,sK27) ),
inference(forward_demodulation,[],[f9695,f9500]) ).
fof(f9701,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK27)))
| v3_struct_0(sK27)
| k7_filter_2(sK27,X0) = X0
| ~ l3_lattices(sK27) ),
inference(resolution,[],[f5721,f5870]) ).
fof(f9702,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK27)))
| k7_filter_2(sK27,X0) = X0
| ~ l3_lattices(sK27) ),
inference(forward_subsumption_resolution,[],[f9701,f5871]) ).
fof(f9703,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK27)))
| k7_filter_2(sK27,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f9702,f5868]) ).
fof(f9704,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK27)))
| k7_filter_2(sK27,X0) = X0 ),
inference(forward_demodulation,[],[f9703,f9500]) ).
fof(f9706,plain,
! [X0] :
( ~ m2_lattice4(X0,sK27)
| k7_filter_2(sK27,X0) = X0 ),
inference(resolution,[],[f9704,f9696]) ).
fof(f9717,plain,
sK28 = k7_filter_2(sK27,sK28),
inference(resolution,[],[f9706,f9632]) ).
fof(f9718,plain,
v1_filter_0(sK28,k1_lattice2(sK27)),
inference(superposition,[],[f9563,f9717]) ).
fof(f9719,plain,
! [X0] :
( ~ r2_hidden(X0,sK28)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK27)))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK27),X0),sK28)
| ~ m1_filter_0(sK28,k1_lattice2(sK27))
| v3_struct_0(k1_lattice2(sK27))
| ~ v10_lattices(k1_lattice2(sK27))
| ~ v17_lattices(k1_lattice2(sK27))
| ~ l3_lattices(k1_lattice2(sK27)) ),
inference(resolution,[],[f9718,f6559]) ).
fof(f9722,plain,
l3_lattices(k1_lattice2(sK27)),
inference(resolution,[],[f6029,f5868]) ).
fof(f9764,plain,
! [X0] :
( ~ r2_hidden(X0,sK28)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK27)))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK27),X0),sK28)
| ~ m1_filter_0(sK28,k1_lattice2(sK27))
| v3_struct_0(k1_lattice2(sK27))
| ~ v10_lattices(k1_lattice2(sK27))
| ~ l3_lattices(k1_lattice2(sK27)) ),
inference(forward_subsumption_resolution,[],[f9719,f9680]) ).
fof(f9771,plain,
! [X0] :
( ~ r2_hidden(X0,sK28)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK27)))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK27),X0),sK28)
| ~ m1_filter_0(sK28,k1_lattice2(sK27))
| v3_struct_0(k1_lattice2(sK27))
| ~ v10_lattices(k1_lattice2(sK27)) ),
inference(forward_subsumption_resolution,[],[f9764,f9722]) ).
fof(f9790,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK27))
| ~ r2_hidden(X0,sK28)
| ~ r2_hidden(k7_lattices(k1_lattice2(sK27),X0),sK28)
| ~ m1_filter_0(sK28,k1_lattice2(sK27))
| v3_struct_0(k1_lattice2(sK27))
| ~ v10_lattices(k1_lattice2(sK27)) ),
inference(forward_demodulation,[],[f9771,f9597]) ).
fof(f9792,definition,
( spl416_34
<=> m1_filter_0(sK28,k1_lattice2(sK27)) ),
introduced(definition,[new_symbols(definition,[spl416_34])],[avatar_definition]) ).
fof(f9799,definition,
( spl416_36
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK27))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK27),X0),sK28)
| ~ r2_hidden(X0,sK28) ) ),
introduced(definition,[new_symbols(definition,[spl416_36])],[avatar_definition]) ).
fof(f9800,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK27))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK27),X0),sK28)
| ~ r2_hidden(X0,sK28) )
| ~ spl416_36 ),
inference(avatar_component_clause,[],[f9799]) ).
fof(f9801,plain,
( ~ spl416_14
| spl416_15
| ~ spl416_34
| spl416_36 ),
inference(avatar_split_clause,[],[f9790,f9799,f9792,f9576,f9573]) ).
fof(f9855,plain,
( k7_lattices(sK27,sK29) = k7_lattices(k1_lattice2(sK27),k5_filter_2(sK27,sK29))
| ~ spl416_22 ),
inference(resolution,[],[f9662,f9502]) ).
fof(f9858,plain,
( k7_lattices(sK27,sK29) = k7_lattices(k1_lattice2(sK27),sK29)
| ~ spl416_22 ),
inference(forward_demodulation,[],[f9855,f9691]) ).
fof(f9916,plain,
( v3_struct_0(sK27)
| v10_lattices(k1_lattice2(sK27))
| ~ l3_lattices(sK27) ),
inference(resolution,[],[f6032,f5870]) ).
fof(f9917,plain,
( v10_lattices(k1_lattice2(sK27))
| ~ l3_lattices(sK27) ),
inference(forward_subsumption_resolution,[],[f9916,f5871]) ).
fof(f9918,plain,
v10_lattices(k1_lattice2(sK27)),
inference(forward_subsumption_resolution,[],[f9917,f5868]) ).
fof(f9941,plain,
( m1_filter_2(k7_filter_2(sK27,sK28),k1_lattice2(sK27))
| v3_struct_0(sK27)
| ~ v10_lattices(sK27)
| ~ l3_lattices(sK27)
| ~ m2_filter_2(sK28,sK27) ),
inference(superposition,[],[f5641,f9548]) ).
fof(f9942,plain,
( m1_filter_2(k7_filter_2(sK27,sK28),k1_lattice2(sK27))
| ~ v10_lattices(sK27)
| ~ l3_lattices(sK27)
| ~ m2_filter_2(sK28,sK27) ),
inference(forward_subsumption_resolution,[],[f9941,f5871]) ).
fof(f9944,plain,
( m1_filter_2(k7_filter_2(sK27,sK28),k1_lattice2(sK27))
| ~ l3_lattices(sK27)
| ~ m2_filter_2(sK28,sK27) ),
inference(forward_subsumption_resolution,[],[f9942,f5870]) ).
fof(f9946,plain,
( m1_filter_2(k7_filter_2(sK27,sK28),k1_lattice2(sK27))
| ~ m2_filter_2(sK28,sK27) ),
inference(forward_subsumption_resolution,[],[f9944,f5868]) ).
fof(f9948,plain,
m1_filter_2(k7_filter_2(sK27,sK28),k1_lattice2(sK27)),
inference(forward_subsumption_resolution,[],[f9946,f5872]) ).
fof(f9949,plain,
m1_filter_2(sK28,k1_lattice2(sK27)),
inference(forward_demodulation,[],[f9948,f9717]) ).
fof(f9950,plain,
( m1_filter_0(sK28,k1_lattice2(sK27))
| v3_struct_0(k1_lattice2(sK27))
| ~ v10_lattices(k1_lattice2(sK27))
| ~ l3_lattices(k1_lattice2(sK27)) ),
inference(resolution,[],[f9949,f5606]) ).
fof(f9962,plain,
( v3_struct_0(sK27)
| ~ l3_lattices(sK27)
| ~ spl416_15 ),
inference(resolution,[],[f6042,f9577]) ).
fof(f9964,plain,
( ~ l3_lattices(sK27)
| ~ spl416_15 ),
inference(forward_subsumption_resolution,[],[f9962,f5871]) ).
fof(f9965,plain,
( $false
| ~ spl416_15 ),
inference(forward_subsumption_resolution,[],[f9964,f5868]) ).
fof(f9966,plain,
~ spl416_15,
inference(avatar_contradiction_clause,[],[f9965]) ).
fof(f9967,plain,
( $false
| spl416_14 ),
inference(forward_subsumption_resolution,[],[f9574,f9918]) ).
fof(f9968,plain,
spl416_14,
inference(avatar_contradiction_clause,[],[f9967]) ).
fof(f9993,plain,
( m1_filter_0(sK28,k1_lattice2(sK27))
| v3_struct_0(k1_lattice2(sK27))
| ~ l3_lattices(k1_lattice2(sK27)) ),
inference(forward_subsumption_resolution,[],[f9950,f9918]) ).
fof(f10044,plain,
( m1_filter_0(sK28,k1_lattice2(sK27))
| v3_struct_0(k1_lattice2(sK27)) ),
inference(forward_subsumption_resolution,[],[f9993,f9722]) ).
fof(f10086,plain,
( spl416_15
| spl416_34 ),
inference(avatar_split_clause,[],[f10044,f9792,f9576]) ).
fof(f10128,plain,
( ~ r2_hidden(k7_lattices(k1_lattice2(sK27),sK29),sK28)
| ~ r2_hidden(sK29,sK28)
| ~ spl416_36 ),
inference(resolution,[],[f9800,f9502]) ).
fof(f10131,plain,
( ~ r2_hidden(k7_lattices(k1_lattice2(sK27),sK29),sK28)
| ~ spl416_5
| ~ spl416_36 ),
inference(forward_subsumption_resolution,[],[f10128,f9327]) ).
fof(f10133,plain,
( ~ r2_hidden(k7_lattices(sK27,sK29),sK28)
| ~ spl416_5
| ~ spl416_22
| ~ spl416_36 ),
inference(forward_demodulation,[],[f10131,f9858]) ).
fof(f10136,plain,
( $false
| ~ spl416_5
| ~ spl416_6
| ~ spl416_22
| ~ spl416_36 ),
inference(forward_subsumption_resolution,[],[f10133,f9333]) ).
fof(f10137,plain,
( ~ spl416_5
| ~ spl416_6
| ~ spl416_22
| ~ spl416_36 ),
inference(avatar_contradiction_clause,[],[f10136]) ).
cnf(s3,plain,
( spl416_5
| ~ spl416_6 ),
inference(sat_conversion,[],[f9331]) ).
cnf(s4,plain,
( ~ spl416_5
| spl416_6 ),
inference(sat_conversion,[],[f9334]) ).
cnf(s10,plain,
( spl416_5
| spl416_6 ),
inference(sat_conversion,[],[f9481]) ).
cnf(s17,plain,
( spl416_21
| spl416_22 ),
inference(sat_conversion,[],[f9663]) ).
cnf(s21,plain,
~ spl416_21,
inference(sat_conversion,[],[f9671]) ).
cnf(s38,plain,
( ~ spl416_14
| spl416_15
| ~ spl416_34
| spl416_36 ),
inference(sat_conversion,[],[f9801]) ).
cnf(s50,plain,
~ spl416_15,
inference(sat_conversion,[],[f9966]) ).
cnf(s51,plain,
spl416_14,
inference(sat_conversion,[],[f9968]) ).
cnf(s68,plain,
( spl416_15
| spl416_34 ),
inference(sat_conversion,[],[f10086]) ).
cnf(s79,plain,
( ~ spl416_5
| ~ spl416_6
| ~ spl416_22
| ~ spl416_36 ),
inference(sat_conversion,[],[f10137]) ).
cnf(s86,plain,
spl416_34,
inference(rat,[],[s68,s50]) ).
cnf(s106,plain,
spl416_36,
inference(rat,[],[s38,s86,s50,s51]) ).
cnf(s128,plain,
spl416_22,
inference(rat,[],[s17,s21]) ).
cnf(s133,plain,
spl416_5,
inference(rat,[],[s3,s10]) ).
cnf(s134,plain,
~ spl416_6,
inference(rat,[],[s79,s106,s128,s133]) ).
cnf(s135,plain,
$false,
inference(rat,[],[s4,s134,s133]) ).
fof(f10138,plain,
$false,
inference(avatar_sat_refutation,[],[s135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT323+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 14:36:56 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 11.94/2.67 % (3048991)Detected formulas, will run a generic FOF schedule.
% 11.94/2.67 % (3049002)dis-21_1_sil=8000:lcm=predicate:random_seed=12394103: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)
% 11.94/2.67 % (3048996)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=3941980387:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 11.94/2.67 % (3048999)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3435533247:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 11.94/2.67 % (3049000)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=588075183:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 11.94/2.67 % (3049001)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2608514047:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 11.94/2.67 % (3048997)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=1154200145:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 11.94/2.67 % (3048998)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=3597938941:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 11.94/2.67 % (3049002)Instruction limit reached!
% 11.94/2.67 % (3049002)------------------------------
% 11.94/2.67 % (3049002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.67 % (3049002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.67 % (3049002)CaDiCaL version: 2.1.3
% 11.94/2.67 % (3049002)Termination reason: Instruction limit
% 11.94/2.67 % (3049002)Termination phase: Property scanning
% 11.94/2.67 % (3049002)Time elapsed: 0.047 s
% 11.94/2.67 % (3049002)Peak memory usage: 93 MB
% 11.94/2.67 % (3049002)Instructions burned: 131 (million)
% 11.94/2.67 % (3048999)Instruction limit reached!
% 11.94/2.67 % (3048999)------------------------------
% 11.94/2.67 % (3048999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.67 % (3048999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.67 % (3048999)CaDiCaL version: 2.1.3
% 11.94/2.67 % (3048999)Termination reason: Instruction limit
% 11.94/2.67 % (3048999)Termination phase: Saturation
% 11.94/2.67 % (3048999)Time elapsed: 0.071 s
% 11.94/2.67 % (3048999)Peak memory usage: 92 MB
% 11.94/2.67 % (3048999)Instructions burned: 109 (million)
% 11.94/2.67 % (3049000)Instruction limit reached!
% 11.94/2.67 % (3049000)------------------------------
% 11.94/2.67 % (3049000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.67 % (3049000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.67 % (3049000)CaDiCaL version: 2.1.3
% 11.94/2.67 % (3049000)Termination reason: Instruction limit
% 11.94/2.67 % (3049000)Termination phase: Saturation
% 11.94/2.67 % (3049000)Time elapsed: 0.078 s
% 11.94/2.67 % (3049000)Peak memory usage: 91 MB
% 11.94/2.67 % (3049000)Instructions burned: 119 (million)
% 11.94/2.67 % (3049001)Instruction limit reached!
% 11.94/2.67 % (3049001)------------------------------
% 11.94/2.67 % (3049001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.67 % (3049001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.67 % (3049001)CaDiCaL version: 2.1.3
% 11.94/2.67 % (3049001)Termination reason: Instruction limit
% 11.94/2.67 % (3049001)Termination phase: Clausification
% 11.94/2.67 % (3049001)Time elapsed: 0.086 s
% 11.94/2.67 % (3049001)Peak memory usage: 94 MB
% 11.94/2.67 % (3049001)Instructions burned: 139 (million)
% 11.94/2.67 % (3049010)lrs+10_1_sil=8000:sp=occurrence:random_seed=3160347138:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.94/2.67 % (3049011)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3943889595:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.94/2.67 % (3049010)Instruction limit reached!
% 11.94/2.67 % (3049010)------------------------------
% 11.94/2.67 % (3049010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/2.67 % (3049010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/2.67 % (3049010)CaDiCaL version: 2.1.3
% 11.94/2.67 % (3049010)Termination reason: Instruction limit
% 11.88/2.80 % (3049010)Termination phase: Saturation
% 11.88/2.80 % (3049010)Time elapsed: 0.099 s
% 11.88/2.80 % (3049010)Peak memory usage: 95 MB
% 11.88/2.80 % (3049010)Instructions burned: 287 (million)
% 11.88/2.80 % (3049013)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=1900699695:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.88/2.80 % (3049012)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4063136423:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.88/2.80 % (3049011)Instruction limit reached!
% 11.88/2.80 % (3049011)------------------------------
% 11.88/2.80 % (3049011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.80 % (3049011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.80 % (3049011)CaDiCaL version: 2.1.3
% 11.88/2.80 % (3049011)Termination reason: Instruction limit
% 11.88/2.80 % (3049011)Termination phase: Saturation
% 11.88/2.80 % (3049011)Time elapsed: 0.086 s
% 11.88/2.80 % (3049011)Peak memory usage: 93 MB
% 11.88/2.80 % (3049011)Instructions burned: 157 (million)
% 11.88/2.80 % (3049018)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3627164091:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 11.88/2.80 % (3049013)Instruction limit reached!
% 11.88/2.80 % (3049013)------------------------------
% 11.88/2.80 % (3049013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.80 % (3049013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.80 % (3049013)CaDiCaL version: 2.1.3
% 11.88/2.80 % (3049013)Termination reason: Instruction limit
% 11.88/2.80 % (3049013)Termination phase: Saturation
% 11.88/2.80 % (3049013)Time elapsed: 0.139 s
% 11.88/2.80 % (3049013)Peak memory usage: 97 MB
% 11.88/2.80 % (3049013)Instructions burned: 248 (million)
% 11.88/2.80 % (3049018)Instruction limit reached!
% 11.88/2.80 % (3049018)------------------------------
% 11.88/2.80 % (3049018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.80 % (3049018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.80 % (3049018)CaDiCaL version: 2.1.3
% 11.88/2.80 % (3049018)Termination reason: Instruction limit
% 11.88/2.80 % (3049018)Termination phase: Saturation
% 11.88/2.80 % (3049018)Time elapsed: 0.085 s
% 11.88/2.80 % (3049018)Peak memory usage: 94 MB
% 11.88/2.80 % (3049018)Instructions burned: 295 (million)
% 11.88/2.80 % (3049012)Instruction limit reached!
% 11.88/2.80 % (3049012)------------------------------
% 11.88/2.80 % (3049012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.80 % (3049012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.80 % (3049012)CaDiCaL version: 2.1.3
% 11.88/2.80 % (3049012)Termination reason: Instruction limit
% 11.88/2.80 % (3049012)Termination phase: Saturation
% 11.88/2.80 % (3049012)Time elapsed: 0.220 s
% 11.88/2.80 % (3049012)Peak memory usage: 95 MB
% 11.88/2.80 % (3049012)Instructions burned: 326 (million)
% 11.88/2.80 % (3049019)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3983062781:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.88/2.80 % (3049021)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2064624538:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 11.88/2.80 % (3049022)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1573986319:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 11.88/2.80 % (3049021)Instruction limit reached!
% 11.88/2.80 % (3049021)------------------------------
% 11.88/2.80 % (3049021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.80 % (3049021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.80 % (3049021)CaDiCaL version: 2.1.3
% 11.88/2.80 % (3049021)Termination reason: Instruction limit
% 11.88/2.80 % (3049021)Termination phase: Saturation
% 11.88/2.80 % (3049021)Time elapsed: 0.066 s
% 11.88/2.80 % (3049021)Peak memory usage: 93 MB
% 11.88/2.80 % (3049021)Instructions burned: 113 (million)
% 11.88/2.80 % (3049022)Instruction limit reached!
% 11.88/2.80 % (3049022)------------------------------
% 11.88/2.80 % (3049022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.80 % (3049022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.80 % (3049022)CaDiCaL version: 2.1.3
% 11.88/2.80 % (3049022)Termination reason: Instruction limit
% 11.88/2.80 % (3049022)Termination phase: Property scanning
% 11.88/2.80 % (3049022)Time elapsed: 0.044 s
% 11.88/2.80 % (3049022)Peak memory usage: 94 MB
% 11.88/2.80 % (3049022)Instructions burned: 132 (million)
% 11.88/2.80 % (3049023)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2966242604:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.88/2.80 % (3049023)Instruction limit reached!
% 11.88/2.80 % (3049023)------------------------------
% 11.88/2.80 % (3049023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.80 % (3049023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.80 % (3049023)CaDiCaL version: 2.1.3
% 11.88/2.80 % (3049023)Termination reason: Instruction limit
% 11.88/2.80 % (3049023)Termination phase: Property scanning
% 11.88/2.80 % (3049023)Time elapsed: 0.060 s
% 11.88/2.80 % (3049023)Peak memory usage: 91 MB
% 11.88/2.80 % (3049023)Instructions burned: 115 (million)
% 11.88/2.80 % (3049028)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3423609081:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.88/2.80 % (3049027)lrs+10_1_sil=8000:sp=occurrence:random_seed=2571325810:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.88/2.80 % (3049030)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3310241034:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 11.88/2.80 % (3049028)Instruction limit reached!
% 11.88/2.80 % (3049028)------------------------------
% 11.88/2.80 % (3049028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.80 % (3049028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.80 % (3049028)CaDiCaL version: 2.1.3
% 11.88/2.80 % (3049028)Termination reason: Instruction limit
% 11.88/2.80 % (3049028)Termination phase: Saturation
% 11.88/2.80 % (3049028)Time elapsed: 0.133 s
% 11.88/2.80 % (3049028)Peak memory usage: 95 MB
% 11.88/2.80 % (3049028)Instructions burned: 440 (million)
% 11.88/2.80 % (3049034)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3469085151:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 11.88/2.80 % (3049034)Instruction limit reached!
% 11.88/2.80 % (3049034)------------------------------
% 11.88/2.80 % (3049034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.80 % (3049034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.80 % (3049034)CaDiCaL version: 2.1.3
% 11.88/2.80 % (3049034)Termination reason: Instruction limit
% 11.88/2.80 % (3049034)Termination phase: Saturation
% 11.88/2.80 % (3049034)Time elapsed: 0.061 s
% 11.88/2.80 % (3049034)Peak memory usage: 94 MB
% 11.88/2.80 % (3049034)Instructions burned: 136 (million)
% 11.88/2.80 % (3049036)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=578561404:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 11.88/2.80 % (3049036)Instruction limit reached!
% 11.88/2.80 % (3049036)------------------------------
% 11.88/2.80 % (3049036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.80 % (3049036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.80 % (3049036)CaDiCaL version: 2.1.3
% 11.88/2.80 % (3049036)Termination reason: Instruction limit
% 11.88/2.80 % (3049036)Termination phase: Saturation
% 11.88/2.80 % (3049036)Time elapsed: 0.158 s
% 11.88/2.80 % (3049036)Peak memory usage: 102 MB
% 11.88/2.80 % (3049036)Instructions burned: 593 (million)
% 11.88/2.80 % (3049027)Instruction limit reached!
% 11.88/2.80 % (3049027)------------------------------
% 11.88/2.80 % (3049027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.80 % (3049027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.80 % (3049027)CaDiCaL version: 2.1.3
% 11.88/2.80 % (3049027)Termination reason: Instruction limit
% 11.88/2.80 % (3049027)Termination phase: Saturation
% 11.88/2.80 % (3049027)Time elapsed: 0.600 s
% 11.88/2.80 % (3049027)Peak memory usage: 104 MB
% 11.88/2.80 % (3049027)Instructions burned: 908 (million)
% 11.88/2.80 % (3048997)First to succeed.
% 11.88/2.80 % (3048997)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3048991"
% 11.88/2.80 % (3049038)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1452694242:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 11.88/2.80 % (3049039)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=1669606986:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 11.88/2.80 % (3049039)Instruction limit reached!
% 11.88/2.80 % (3049039)------------------------------
% 11.88/2.80 % (3049039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.80 % (3049039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.80 % (3049039)CaDiCaL version: 2.1.3
% 11.88/2.80 % (3049039)Termination reason: Instruction limit
% 11.88/2.80 % (3049039)Termination phase: Saturation
% 11.88/2.80 % (3049039)Time elapsed: 0.074 s
% 11.88/2.80 % (3049039)Peak memory usage: 93 MB
% 11.88/2.80 % (3049039)Instructions burned: 126 (million)
% 11.88/2.80 % (3048997)Refutation found. Thanks to Tanya!
% 11.88/2.80 % SZS status Theorem for theBenchmark
% 11.88/2.80 % SZS output start Proof for theBenchmark
% See solution above
% 13.68/3.00 % (3048997)------------------------------
% 13.68/3.00 % (3048997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.68/3.00 % (3048997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.68/3.00 % (3048997)CaDiCaL version: 2.1.3
% 13.68/3.00 % (3048997)Termination reason: Refutation
% 13.68/3.00 % (3048997)Time elapsed: 1.394 s
% 13.68/3.00 % (3048997)Peak memory usage: 161 MB
% 13.68/3.00 % (3048997)Instructions burned: 2288 (million)
% 13.68/3.00 % (3048997)------------------------------
% 13.68/3.00 % (3048997)------------------------------
% 13.68/3.00 % (3048991)Success in time 1.958 s
% 13.68/3.00 % Vampire exiting
%------------------------------------------------------------------------------