%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT314+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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:50 AM UTC 2026
% Result : Theorem 5.38s 2.14s
% Output : Refutation 8.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 18
% Syntax : Number of formulae : 177 ( 33 unt; 4 def)
% Number of atoms : 737 ( 99 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 888 ( 328 ~; 413 |; 111 &)
% ( 7 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 5 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 186 ( 0 sgn 180 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(f2492,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> k5_filter_0(X0,X1,X2) = k5_filter_0(X0,X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_filter_0) ).
fof(f2540,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f2878,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f2910,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k20_filter_2) ).
fof(f2943,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/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f2976,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> k20_filter_2(X0,X1,X2) = a_3_0_filter_2(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_filter_2) ).
fof(f2979,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_filter_2) ).
fof(f2982,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X2,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_filter_2) ).
fof(f2983,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X2,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f2982]) ).
fof(f3019,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2878]) ).
fof(f3020,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f3019]) ).
fof(f3083,plain,
! [X0,X1,X2] :
( m1_subset_1(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f2910]) ).
fof(f3084,plain,
! [X0,X1,X2] :
( m1_subset_1(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f3083]) ).
fof(f3146,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,[],[f2943]) ).
fof(f3147,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,[],[f3146]) ).
fof(f3212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k20_filter_2(X0,X1,X2) = a_3_0_filter_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(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,[],[f2976]) ).
fof(f3213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k20_filter_2(X0,X1,X2) = a_3_0_filter_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3212]) ).
fof(f3218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) )
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(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,[],[f2979]) ).
fof(f3219,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) )
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3218]) ).
fof(f3224,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X2,X1))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v1_xboole_0(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,[],[f2983]) ).
fof(f3225,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k20_filter_2(X0,X1,X2),k20_filter_2(X0,X2,X1))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f3224]) ).
fof(f3284,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2540]) ).
fof(f3285,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3284]) ).
fof(f3286,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(f3287,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3286]) ).
fof(f3304,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(f3305,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3304]) ).
fof(f3352,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_filter_0(X0,X1,X2) = k5_filter_0(X0,X2,X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(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,[],[f2492]) ).
fof(f3353,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_filter_0(X0,X1,X2) = k5_filter_0(X0,X2,X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3352]) ).
fof(f3370,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f3373,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(f3374,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,[],[f3373]) ).
fof(f3375,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(f3376,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3375]) ).
fof(f3534,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(f3535,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,[],[f3534]) ).
fof(f4872,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f3020]) ).
fof(f4917,plain,
( ~ r1_filter_2(u1_struct_0(sK28),k20_filter_2(sK28,sK29,sK30),k20_filter_2(sK28,sK30,sK29))
& ~ v1_xboole_0(sK30)
& m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK28)))
& ~ v1_xboole_0(sK29)
& m1_subset_1(sK29,k1_zfmisc_1(u1_struct_0(sK28)))
& ~ v3_struct_0(sK28)
& v10_lattices(sK28)
& l3_lattices(sK28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29,sK30]),skolemize(X0,sK28),skolemize(X1,sK29),skolemize(X2,sK30)],[f3225]) ).
fof(f5561,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| X1 != X2
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4872]) ).
fof(f5595,plain,
! [X2,X0,X1] :
( m1_subset_1(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f3084]) ).
fof(f5668,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,[],[f3147]) ).
fof(f5748,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k20_filter_2(X0,X1,X2) = a_3_0_filter_2(X0,X1,X2)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3213]) ).
fof(f5754,plain,
! [X2,X3,X0,X1,X4] :
( ~ v10_lattices(X0)
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3219]) ).
fof(f5762,plain,
l3_lattices(sK28),
inference(cnf_transformation,[],[f4917]) ).
fof(f5763,plain,
v10_lattices(sK28),
inference(cnf_transformation,[],[f4917]) ).
fof(f5764,plain,
~ v3_struct_0(sK28),
inference(cnf_transformation,[],[f4917]) ).
fof(f5765,plain,
m1_subset_1(sK29,k1_zfmisc_1(u1_struct_0(sK28))),
inference(cnf_transformation,[],[f4917]) ).
fof(f5766,plain,
~ v1_xboole_0(sK29),
inference(cnf_transformation,[],[f4917]) ).
fof(f5767,plain,
m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK28))),
inference(cnf_transformation,[],[f4917]) ).
fof(f5768,plain,
~ v1_xboole_0(sK30),
inference(cnf_transformation,[],[f4917]) ).
fof(f5769,plain,
~ r1_filter_2(u1_struct_0(sK28),k20_filter_2(sK28,sK29,sK30),k20_filter_2(sK28,sK30,sK29)),
inference(cnf_transformation,[],[f4917]) ).
fof(f5863,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3285]) ).
fof(f5864,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3287]) ).
fof(f5878,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3305]) ).
fof(f5924,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k5_filter_0(X0,X1,X2) = k5_filter_0(X0,X2,X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3353]) ).
fof(f5953,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3370]) ).
fof(f5956,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3374]) ).
fof(f5966,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3376]) ).
fof(f6207,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3535]) ).
fof(f8677,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f5561]) ).
fof(f9001,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(duplicate_literal_removal,[],[f8677]) ).
fof(f9259,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v3_struct_0(sK28)
| k7_filter_2(sK28,X0) = X0
| ~ l3_lattices(sK28) ),
inference(resolution,[],[f5668,f5763]) ).
fof(f9260,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| k7_filter_2(sK28,X0) = X0
| ~ l3_lattices(sK28) ),
inference(forward_subsumption_resolution,[],[f9259,f5764]) ).
fof(f9261,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| k7_filter_2(sK28,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f9260,f5762]) ).
fof(f9263,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK28)))
| v3_struct_0(sK28)
| k20_filter_2(sK28,X1,X0) = a_3_0_filter_2(sK28,X1,X0)
| ~ l3_lattices(sK28) ),
inference(resolution,[],[f5748,f5763]) ).
fof(f9264,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK28)))
| k20_filter_2(sK28,X1,X0) = a_3_0_filter_2(sK28,X1,X0)
| ~ l3_lattices(sK28) ),
inference(forward_subsumption_resolution,[],[f9263,f5764]) ).
fof(f9265,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK28)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| k20_filter_2(sK28,X1,X0) = a_3_0_filter_2(sK28,X1,X0) ),
inference(forward_subsumption_resolution,[],[f9264,f5762]) ).
fof(f9266,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(sK29)
| v1_xboole_0(X0)
| k20_filter_2(sK28,sK29,X0) = a_3_0_filter_2(sK28,sK29,X0) ),
inference(resolution,[],[f9265,f5765]) ).
fof(f9267,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(sK30)
| v1_xboole_0(X0)
| k20_filter_2(sK28,sK30,X0) = a_3_0_filter_2(sK28,sK30,X0) ),
inference(resolution,[],[f9265,f5767]) ).
fof(f9274,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X0)
| k20_filter_2(sK28,sK30,X0) = a_3_0_filter_2(sK28,sK30,X0) ),
inference(forward_subsumption_resolution,[],[f9267,f5768]) ).
fof(f9275,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X0)
| k20_filter_2(sK28,sK29,X0) = a_3_0_filter_2(sK28,sK29,X0) ),
inference(forward_subsumption_resolution,[],[f9266,f5766]) ).
fof(f9284,plain,
( v1_xboole_0(sK30)
| k20_filter_2(sK28,sK29,sK30) = a_3_0_filter_2(sK28,sK29,sK30) ),
inference(resolution,[],[f9275,f5767]) ).
fof(f9291,plain,
k20_filter_2(sK28,sK29,sK30) = a_3_0_filter_2(sK28,sK29,sK30),
inference(forward_subsumption_resolution,[],[f9284,f5768]) ).
fof(f9307,plain,
~ r1_filter_2(u1_struct_0(sK28),a_3_0_filter_2(sK28,sK29,sK30),k20_filter_2(sK28,sK30,sK29)),
inference(superposition,[],[f5769,f9291]) ).
fof(f9308,plain,
( m1_subset_1(a_3_0_filter_2(sK28,sK29,sK30),k1_zfmisc_1(u1_struct_0(sK28)))
| v3_struct_0(sK28)
| ~ v10_lattices(sK28)
| ~ l3_lattices(sK28)
| v1_xboole_0(sK29)
| ~ m1_subset_1(sK29,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(sK30)
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK28))) ),
inference(superposition,[],[f5595,f9291]) ).
fof(f9309,plain,
( m1_subset_1(a_3_0_filter_2(sK28,sK29,sK30),k1_zfmisc_1(u1_struct_0(sK28)))
| ~ v10_lattices(sK28)
| ~ l3_lattices(sK28)
| v1_xboole_0(sK29)
| ~ m1_subset_1(sK29,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(sK30)
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK28))) ),
inference(forward_subsumption_resolution,[],[f9308,f5764]) ).
fof(f9310,plain,
( m1_subset_1(a_3_0_filter_2(sK28,sK29,sK30),k1_zfmisc_1(u1_struct_0(sK28)))
| ~ l3_lattices(sK28)
| v1_xboole_0(sK29)
| ~ m1_subset_1(sK29,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(sK30)
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK28))) ),
inference(forward_subsumption_resolution,[],[f9309,f5763]) ).
fof(f9311,plain,
( m1_subset_1(a_3_0_filter_2(sK28,sK29,sK30),k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(sK29)
| ~ m1_subset_1(sK29,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(sK30)
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK28))) ),
inference(forward_subsumption_resolution,[],[f9310,f5762]) ).
fof(f9312,plain,
( m1_subset_1(a_3_0_filter_2(sK28,sK29,sK30),k1_zfmisc_1(u1_struct_0(sK28)))
| ~ m1_subset_1(sK29,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(sK30)
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK28))) ),
inference(forward_subsumption_resolution,[],[f9311,f5766]) ).
fof(f9313,plain,
( m1_subset_1(a_3_0_filter_2(sK28,sK29,sK30),k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(sK30)
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK28))) ),
inference(forward_subsumption_resolution,[],[f9312,f5765]) ).
fof(f9314,plain,
( m1_subset_1(a_3_0_filter_2(sK28,sK29,sK30),k1_zfmisc_1(u1_struct_0(sK28)))
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK28))) ),
inference(forward_subsumption_resolution,[],[f9313,f5768]) ).
fof(f9315,plain,
m1_subset_1(a_3_0_filter_2(sK28,sK29,sK30),k1_zfmisc_1(u1_struct_0(sK28))),
inference(forward_subsumption_resolution,[],[f9314,f5767]) ).
fof(f9329,plain,
( v1_xboole_0(sK29)
| k20_filter_2(sK28,sK30,sK29) = a_3_0_filter_2(sK28,sK30,sK29) ),
inference(resolution,[],[f9274,f5765]) ).
fof(f9339,plain,
k20_filter_2(sK28,sK30,sK29) = a_3_0_filter_2(sK28,sK30,sK29),
inference(forward_subsumption_resolution,[],[f9329,f5766]) ).
fof(f9347,plain,
~ r1_filter_2(u1_struct_0(sK28),a_3_0_filter_2(sK28,sK29,sK30),a_3_0_filter_2(sK28,sK30,sK29)),
inference(superposition,[],[f9307,f9339]) ).
fof(f9419,plain,
sK29 = k7_filter_2(sK28,sK29),
inference(resolution,[],[f9261,f5765]) ).
fof(f9420,plain,
sK30 = k7_filter_2(sK28,sK30),
inference(resolution,[],[f9261,f5767]) ).
fof(f9463,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK28)))
| v3_struct_0(sK28)
| k20_filter_2(sK28,X3,X2) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,X3),k7_filter_2(sK28,X2))
| ~ l3_lattices(sK28) ),
inference(resolution,[],[f5754,f5763]) ).
fof(f9464,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK28)))
| k20_filter_2(sK28,X3,X2) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,X3),k7_filter_2(sK28,X2))
| ~ l3_lattices(sK28) ),
inference(forward_subsumption_resolution,[],[f9463,f5764]) ).
fof(f9465,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK28)))
| k20_filter_2(sK28,X3,X2) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,X3),k7_filter_2(sK28,X2)) ),
inference(forward_subsumption_resolution,[],[f9464,f5762]) ).
fof(f9467,definition,
( spl413_20
<=> ! [X2,X3] :
( v1_xboole_0(X2)
| k20_filter_2(sK28,X3,X2) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,X3),k7_filter_2(sK28,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK28)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK28))) ) ),
introduced(definition,[new_symbols(definition,[spl413_20])],[avatar_definition]) ).
fof(f9468,plain,
( ! [X2,X3] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK28)))
| k20_filter_2(sK28,X3,X2) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,X3),k7_filter_2(sK28,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X2) )
| ~ spl413_20 ),
inference(avatar_component_clause,[],[f9467]) ).
fof(f9470,definition,
( spl413_21
<=> ! [X1] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28)))) ) ),
introduced(definition,[new_symbols(definition,[spl413_21])],[avatar_definition]) ).
fof(f9471,plain,
( ! [X1] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28)))) )
| ~ spl413_21 ),
inference(avatar_component_clause,[],[f9470]) ).
fof(f9472,plain,
( spl413_20
| spl413_21
| spl413_21 ),
inference(avatar_split_clause,[],[f9465,f9470,f9470,f9467]) ).
fof(f9473,plain,
( ! [X0] :
( k20_filter_2(sK28,X0,sK29) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,X0),k7_filter_2(sK28,sK29))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(sK29) )
| ~ spl413_20 ),
inference(resolution,[],[f9468,f5765]) ).
fof(f9474,plain,
( ! [X0] :
( k20_filter_2(sK28,X0,sK30) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,X0),k7_filter_2(sK28,sK30))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(sK30) )
| ~ spl413_20 ),
inference(resolution,[],[f9468,f5767]) ).
fof(f9485,plain,
( ! [X0] :
( k20_filter_2(sK28,X0,sK30) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,X0),k7_filter_2(sK28,sK30))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28))) )
| ~ spl413_20 ),
inference(forward_subsumption_resolution,[],[f9474,f5768]) ).
fof(f9486,plain,
( ! [X0] :
( k20_filter_2(sK28,X0,sK29) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,X0),k7_filter_2(sK28,sK29))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28))) )
| ~ spl413_20 ),
inference(forward_subsumption_resolution,[],[f9473,f5766]) ).
fof(f9490,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X0)
| k20_filter_2(sK28,X0,sK30) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,X0),sK30) )
| ~ spl413_20 ),
inference(forward_demodulation,[],[f9485,f9420]) ).
fof(f9491,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X0)
| k20_filter_2(sK28,X0,sK29) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,X0),sK29) )
| ~ spl413_20 ),
inference(forward_demodulation,[],[f9486,f9419]) ).
fof(f9497,plain,
( v1_xboole_0(sK30)
| k20_filter_2(sK28,sK30,sK29) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,sK30),sK29)
| ~ spl413_20 ),
inference(resolution,[],[f9491,f5767]) ).
fof(f9508,plain,
( k20_filter_2(sK28,sK30,sK29) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,sK30),sK29)
| ~ spl413_20 ),
inference(forward_subsumption_resolution,[],[f9497,f5768]) ).
fof(f9513,plain,
( k20_filter_2(sK28,sK30,sK29) = k5_filter_0(k1_lattice2(sK28),sK30,sK29)
| ~ spl413_20 ),
inference(forward_demodulation,[],[f9508,f9420]) ).
fof(f9518,plain,
( a_3_0_filter_2(sK28,sK30,sK29) = k5_filter_0(k1_lattice2(sK28),sK30,sK29)
| ~ spl413_20 ),
inference(forward_demodulation,[],[f9513,f9339]) ).
fof(f9521,plain,
( v1_xboole_0(sK29)
| k20_filter_2(sK28,sK29,sK30) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,sK29),sK30)
| ~ spl413_20 ),
inference(resolution,[],[f9490,f5765]) ).
fof(f9534,plain,
( k20_filter_2(sK28,sK29,sK30) = k5_filter_0(k1_lattice2(sK28),k7_filter_2(sK28,sK29),sK30)
| ~ spl413_20 ),
inference(forward_subsumption_resolution,[],[f9521,f5766]) ).
fof(f9539,plain,
( k20_filter_2(sK28,sK29,sK30) = k5_filter_0(k1_lattice2(sK28),sK29,sK30)
| ~ spl413_20 ),
inference(forward_demodulation,[],[f9534,f9419]) ).
fof(f9544,plain,
( a_3_0_filter_2(sK28,sK29,sK30) = k5_filter_0(k1_lattice2(sK28),sK29,sK30)
| ~ spl413_20 ),
inference(forward_demodulation,[],[f9539,f9291]) ).
fof(f9546,plain,
( v3_struct_0(sK28)
| u1_struct_0(sK28) = u1_struct_0(k1_lattice2(sK28)) ),
inference(resolution,[],[f6207,f5762]) ).
fof(f9547,plain,
u1_struct_0(sK28) = u1_struct_0(k1_lattice2(sK28)),
inference(forward_subsumption_resolution,[],[f9546,f5764]) ).
fof(f9560,definition,
( spl413_24
<=> v3_struct_0(k1_lattice2(sK28)) ),
introduced(definition,[new_symbols(definition,[spl413_24])],[avatar_definition]) ).
fof(f9561,plain,
( v3_struct_0(k1_lattice2(sK28))
| ~ spl413_24 ),
inference(avatar_component_clause,[],[f9560]) ).
fof(f9585,plain,
( v3_struct_0(sK28)
| u1_struct_0(sK28) = k1_filter_0(sK28)
| ~ l3_lattices(sK28) ),
inference(resolution,[],[f5878,f5763]) ).
fof(f9586,plain,
( u1_struct_0(sK28) = k1_filter_0(sK28)
| ~ l3_lattices(sK28) ),
inference(forward_subsumption_resolution,[],[f9585,f5764]) ).
fof(f9587,plain,
u1_struct_0(sK28) = k1_filter_0(sK28),
inference(forward_subsumption_resolution,[],[f9586,f5762]) ).
fof(f9588,plain,
m1_subset_1(sK29,k1_zfmisc_1(k1_filter_0(sK28))),
inference(superposition,[],[f5765,f9587]) ).
fof(f9589,plain,
m1_subset_1(sK30,k1_zfmisc_1(k1_filter_0(sK28))),
inference(superposition,[],[f5767,f9587]) ).
fof(f9597,plain,
m1_subset_1(a_3_0_filter_2(sK28,sK29,sK30),k1_zfmisc_1(k1_filter_0(sK28))),
inference(superposition,[],[f9315,f9587]) ).
fof(f9598,plain,
~ r1_filter_2(k1_filter_0(sK28),a_3_0_filter_2(sK28,sK29,sK30),a_3_0_filter_2(sK28,sK30,sK29)),
inference(superposition,[],[f9347,f9587]) ).
fof(f9708,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X1) )
| ~ spl413_21 ),
inference(forward_demodulation,[],[f9471,f9547]) ).
fof(f9709,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK28)))
| v1_xboole_0(X1) )
| ~ spl413_21 ),
inference(forward_demodulation,[],[f9708,f9587]) ).
fof(f9712,plain,
( v1_xboole_0(sK29)
| ~ spl413_21 ),
inference(resolution,[],[f9709,f9588]) ).
fof(f9718,plain,
( $false
| ~ spl413_21 ),
inference(forward_subsumption_resolution,[],[f9712,f5766]) ).
fof(f9719,plain,
~ spl413_21,
inference(avatar_contradiction_clause,[],[f9718]) ).
fof(f9948,plain,
l3_lattices(k1_lattice2(sK28)),
inference(resolution,[],[f5953,f5762]) ).
fof(f9961,plain,
( v3_struct_0(sK28)
| ~ l3_lattices(sK28)
| ~ spl413_24 ),
inference(resolution,[],[f5966,f9561]) ).
fof(f9963,plain,
( ~ l3_lattices(sK28)
| ~ spl413_24 ),
inference(forward_subsumption_resolution,[],[f9961,f5764]) ).
fof(f9964,plain,
( $false
| ~ spl413_24 ),
inference(forward_subsumption_resolution,[],[f9963,f5762]) ).
fof(f9965,plain,
~ spl413_24,
inference(avatar_contradiction_clause,[],[f9964]) ).
fof(f10453,plain,
( v3_struct_0(sK28)
| v10_lattices(k1_lattice2(sK28))
| ~ l3_lattices(sK28) ),
inference(resolution,[],[f5956,f5763]) ).
fof(f10455,plain,
( v10_lattices(k1_lattice2(sK28))
| ~ l3_lattices(sK28) ),
inference(forward_subsumption_resolution,[],[f10453,f5764]) ).
fof(f10464,plain,
v10_lattices(k1_lattice2(sK28)),
inference(forward_subsumption_resolution,[],[f10455,f5762]) ).
fof(f10482,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28))))
| v3_struct_0(k1_lattice2(sK28))
| k5_filter_0(k1_lattice2(sK28),X1,X0) = k5_filter_0(k1_lattice2(sK28),X0,X1)
| ~ l3_lattices(k1_lattice2(sK28)) ),
inference(resolution,[],[f10464,f5924]) ).
fof(f10487,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28))))
| v3_struct_0(k1_lattice2(sK28))
| k5_filter_0(k1_lattice2(sK28),X1,X0) = k5_filter_0(k1_lattice2(sK28),X0,X1) ),
inference(forward_subsumption_resolution,[],[f10482,f9948]) ).
fof(f10508,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK28)))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28))))
| v3_struct_0(k1_lattice2(sK28))
| k5_filter_0(k1_lattice2(sK28),X1,X0) = k5_filter_0(k1_lattice2(sK28),X0,X1) ),
inference(forward_demodulation,[],[f10487,f9547]) ).
fof(f10528,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK28)))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK28))))
| v3_struct_0(k1_lattice2(sK28))
| k5_filter_0(k1_lattice2(sK28),X1,X0) = k5_filter_0(k1_lattice2(sK28),X0,X1) ),
inference(forward_demodulation,[],[f10508,f9587]) ).
fof(f10547,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK28)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK28)))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| v3_struct_0(k1_lattice2(sK28))
| k5_filter_0(k1_lattice2(sK28),X1,X0) = k5_filter_0(k1_lattice2(sK28),X0,X1) ),
inference(forward_demodulation,[],[f10528,f9547]) ).
fof(f10586,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK28)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK28)))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| v3_struct_0(k1_lattice2(sK28))
| k5_filter_0(k1_lattice2(sK28),X1,X0) = k5_filter_0(k1_lattice2(sK28),X0,X1) ),
inference(forward_demodulation,[],[f10547,f9587]) ).
fof(f10597,definition,
( spl413_125
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK28)))
| k5_filter_0(k1_lattice2(sK28),X1,X0) = k5_filter_0(k1_lattice2(sK28),X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK28)))
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl413_125])],[avatar_definition]) ).
fof(f10598,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK28)))
| k5_filter_0(k1_lattice2(sK28),X1,X0) = k5_filter_0(k1_lattice2(sK28),X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK28)))
| v1_xboole_0(X0) )
| ~ spl413_125 ),
inference(avatar_component_clause,[],[f10597]) ).
fof(f10599,plain,
( spl413_24
| spl413_125 ),
inference(avatar_split_clause,[],[f10586,f10597,f9560]) ).
fof(f10672,plain,
( ! [X0] :
( k5_filter_0(k1_lattice2(sK28),X0,sK30) = k5_filter_0(k1_lattice2(sK28),sK30,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK28)))
| v1_xboole_0(sK30) )
| ~ spl413_125 ),
inference(resolution,[],[f10598,f9589]) ).
fof(f10681,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK28)))
| v1_xboole_0(X0)
| k5_filter_0(k1_lattice2(sK28),X0,sK30) = k5_filter_0(k1_lattice2(sK28),sK30,X0) )
| ~ spl413_125 ),
inference(forward_subsumption_resolution,[],[f10672,f5768]) ).
fof(f10683,plain,
( v1_xboole_0(sK29)
| k5_filter_0(k1_lattice2(sK28),sK30,sK29) = k5_filter_0(k1_lattice2(sK28),sK29,sK30)
| ~ spl413_125 ),
inference(resolution,[],[f10681,f9588]) ).
fof(f10693,plain,
( k5_filter_0(k1_lattice2(sK28),sK30,sK29) = k5_filter_0(k1_lattice2(sK28),sK29,sK30)
| ~ spl413_125 ),
inference(forward_subsumption_resolution,[],[f10683,f5766]) ).
fof(f10698,plain,
( a_3_0_filter_2(sK28,sK29,sK30) = k5_filter_0(k1_lattice2(sK28),sK30,sK29)
| ~ spl413_20
| ~ spl413_125 ),
inference(forward_demodulation,[],[f10693,f9544]) ).
fof(f10716,plain,
( a_3_0_filter_2(sK28,sK29,sK30) = a_3_0_filter_2(sK28,sK30,sK29)
| ~ spl413_20
| ~ spl413_125 ),
inference(superposition,[],[f9518,f10698]) ).
fof(f10721,plain,
( ~ r1_filter_2(k1_filter_0(sK28),a_3_0_filter_2(sK28,sK29,sK30),a_3_0_filter_2(sK28,sK29,sK30))
| ~ spl413_20
| ~ spl413_125 ),
inference(superposition,[],[f9598,f10716]) ).
fof(f10725,plain,
( v1_xboole_0(k1_filter_0(sK28))
| ~ m1_subset_1(a_3_0_filter_2(sK28,sK29,sK30),k1_zfmisc_1(k1_filter_0(sK28)))
| ~ spl413_20
| ~ spl413_125 ),
inference(resolution,[],[f10721,f9001]) ).
fof(f11651,plain,
! [X0] :
( ~ m1_filter_0(X0,sK28)
| v3_struct_0(sK28)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(sK28) ),
inference(resolution,[],[f5863,f5763]) ).
fof(f11656,plain,
! [X0] :
( ~ m1_filter_0(X0,sK28)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(sK28) ),
inference(forward_subsumption_resolution,[],[f11651,f5764]) ).
fof(f11661,plain,
! [X0] :
( ~ m1_filter_0(X0,sK28)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f11656,f5762]) ).
fof(f12253,plain,
( ~ v1_xboole_0(u1_struct_0(sK28))
| v3_struct_0(sK28)
| ~ v10_lattices(sK28)
| ~ l3_lattices(sK28) ),
inference(resolution,[],[f11661,f5864]) ).
fof(f12256,plain,
( ~ v1_xboole_0(u1_struct_0(sK28))
| ~ v10_lattices(sK28)
| ~ l3_lattices(sK28) ),
inference(forward_subsumption_resolution,[],[f12253,f5764]) ).
fof(f12257,plain,
( ~ v1_xboole_0(u1_struct_0(sK28))
| ~ l3_lattices(sK28) ),
inference(forward_subsumption_resolution,[],[f12256,f5763]) ).
fof(f12258,plain,
~ v1_xboole_0(u1_struct_0(sK28)),
inference(forward_subsumption_resolution,[],[f12257,f5762]) ).
fof(f12259,plain,
~ v1_xboole_0(k1_filter_0(sK28)),
inference(forward_demodulation,[],[f12258,f9587]) ).
fof(f12264,plain,
( v1_xboole_0(k1_filter_0(sK28))
| ~ spl413_20
| ~ spl413_125 ),
inference(forward_subsumption_resolution,[],[f10725,f9597]) ).
fof(f12271,plain,
( $false
| ~ spl413_20
| ~ spl413_125 ),
inference(forward_subsumption_resolution,[],[f12264,f12259]) ).
fof(f12272,plain,
( ~ spl413_20
| ~ spl413_125 ),
inference(avatar_contradiction_clause,[],[f12271]) ).
cnf(s14,plain,
( spl413_21
| spl413_20
| spl413_21 ),
inference(sat_conversion,[],[f9472]) ).
cnf(s15,plain,
( spl413_20
| spl413_21 ),
inference(rat,[],[s14]) ).
cnf(s25,plain,
~ spl413_21,
inference(sat_conversion,[],[f9719]) ).
cnf(s33,plain,
~ spl413_24,
inference(sat_conversion,[],[f9965]) ).
cnf(s140,plain,
( spl413_24
| spl413_125 ),
inference(sat_conversion,[],[f10599]) ).
cnf(s339,plain,
( ~ spl413_20
| ~ spl413_125 ),
inference(sat_conversion,[],[f12272]) ).
cnf(s455,plain,
spl413_125,
inference(rat,[],[s140,s33]) ).
cnf(s472,plain,
~ spl413_20,
inference(rat,[],[s339,s455]) ).
cnf(s501,plain,
$false,
inference(rat,[],[s15,s25,s472]) ).
fof(f12288,plain,
$false,
inference(avatar_sat_refutation,[],[s501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT314+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n016.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 14:36:33 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 5.38/2.14 % (2706566)Detected formulas, will run a generic FOF schedule.
% 5.38/2.14 % (2706572)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=4073505516:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 5.38/2.14 % (2706571)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=1857496722:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 5.38/2.14 % (2706577)dis-21_1_sil=8000:lcm=predicate:random_seed=2999375703: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)
% 5.38/2.14 % (2706573)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=763467113:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 5.38/2.14 % (2706576)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1094462868:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 5.38/2.14 % (2706574)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2314479734:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 5.38/2.14 % (2706575)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1752595424:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 5.38/2.14 % (2706574)Refutation not found, incomplete strategy
% 5.38/2.14 % (2706574)------------------------------
% 5.38/2.14 % (2706574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.14 % (2706574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.14 % (2706574)CaDiCaL version: 2.1.3
% 5.38/2.14 % (2706574)Termination reason: Refutation not found, incomplete strategy
% 5.38/2.14 % (2706574)Time elapsed: 0.026 s
% 5.38/2.14 % (2706574)Peak memory usage: 92 MB
% 5.38/2.14 % (2706574)Instructions burned: 35 (million)
% 5.38/2.14 % (2706575)Instruction limit reached!
% 5.38/2.14 % (2706575)------------------------------
% 5.38/2.14 % (2706575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.14 % (2706575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.14 % (2706575)CaDiCaL version: 2.1.3
% 5.38/2.14 % (2706575)Termination reason: Instruction limit
% 5.38/2.14 % (2706575)Termination phase: Saturation
% 5.38/2.14 % (2706575)Time elapsed: 0.078 s
% 5.38/2.14 % (2706575)Peak memory usage: 92 MB
% 5.38/2.14 % (2706575)Instructions burned: 120 (million)
% 5.38/2.14 % (2706577)Instruction limit reached!
% 5.38/2.14 % (2706577)------------------------------
% 5.38/2.14 % (2706577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.14 % (2706577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.14 % (2706577)CaDiCaL version: 2.1.3
% 5.38/2.14 % (2706577)Termination reason: Instruction limit
% 5.38/2.14 % (2706577)Termination phase: Property scanning
% 5.38/2.14 % (2706577)Time elapsed: 0.078 s
% 5.38/2.14 % (2706577)Peak memory usage: 92 MB
% 5.38/2.14 % (2706577)Instructions burned: 131 (million)
% 5.38/2.14 % (2706576)Instruction limit reached!
% 5.38/2.14 % (2706576)------------------------------
% 5.38/2.14 % (2706576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.14 % (2706576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.14 % (2706576)CaDiCaL version: 2.1.3
% 5.38/2.14 % (2706576)Termination reason: Instruction limit
% 5.38/2.14 % (2706576)Termination phase: Property scanning
% 5.38/2.14 % (2706576)Time elapsed: 0.087 s
% 5.38/2.14 % (2706576)Peak memory usage: 94 MB
% 5.38/2.14 % (2706576)Instructions burned: 140 (million)
% 5.38/2.14 % (2706586)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3499526291:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 5.38/2.14 % (2706585)lrs+10_1_sil=8000:sp=occurrence:random_seed=3715767041:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 5.38/2.14 % (2706587)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1361577736:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 5.38/2.14 % (2706574)------------------------------
% 5.38/2.14 % (2706574)------------------------------
% 5.38/2.14 % (2706586)Instruction limit reached!
% 5.38/2.14 % (2706586)------------------------------
% 5.38/2.14 % (2706586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.14 % (2706586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.14 % (2706586)CaDiCaL version: 2.1.3
% 5.38/2.14 % (2706586)Termination reason: Instruction limit
% 5.38/2.14 % (2706586)Termination phase: Saturation
% 5.38/2.14 % (2706586)Time elapsed: 0.086 s
% 5.38/2.14 % (2706586)Peak memory usage: 92 MB
% 5.38/2.14 % (2706586)Instructions burned: 157 (million)
% 5.38/2.14 % (2706585)Instruction limit reached!
% 5.38/2.14 % (2706585)------------------------------
% 5.38/2.14 % (2706585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.14 % (2706585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.14 % (2706585)CaDiCaL version: 2.1.3
% 5.38/2.14 % (2706585)Termination reason: Instruction limit
% 5.38/2.14 % (2706585)Termination phase: Saturation
% 5.38/2.14 % (2706585)Time elapsed: 0.177 s
% 5.38/2.14 % (2706585)Peak memory usage: 94 MB
% 5.38/2.14 % (2706585)Instructions burned: 287 (million)
% 5.38/2.14 % (2706591)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=68318549:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 5.38/2.14 % (2706587)Instruction limit reached!
% 5.38/2.14 % (2706587)------------------------------
% 5.38/2.14 % (2706587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.14 % (2706587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.14 % (2706587)CaDiCaL version: 2.1.3
% 5.38/2.14 % (2706587)Termination reason: Instruction limit
% 5.38/2.14 % (2706587)Termination phase: Saturation
% 5.38/2.14 % (2706587)Time elapsed: 0.205 s
% 5.38/2.14 % (2706587)Peak memory usage: 94 MB
% 5.38/2.14 % (2706587)Instructions burned: 325 (million)
% 5.38/2.14 % (2706592)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=567671874:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 5.38/2.14 % (2706593)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2152262149:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 5.38/2.14 % (2706591)Instruction limit reached!
% 5.38/2.14 % (2706591)------------------------------
% 5.38/2.14 % (2706591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.14 % (2706591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.14 % (2706591)CaDiCaL version: 2.1.3
% 5.38/2.14 % (2706591)Termination reason: Instruction limit
% 5.38/2.14 % (2706591)Termination phase: Saturation
% 5.38/2.14 % (2706591)Time elapsed: 0.144 s
% 5.38/2.14 % (2706591)Peak memory usage: 98 MB
% 5.38/2.14 % (2706591)Instructions burned: 248 (million)
% 5.38/2.14 % (2706595)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4256102583:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 5.38/2.14 % (2706592)Instruction limit reached!
% 5.38/2.14 % (2706592)------------------------------
% 5.38/2.14 % (2706592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.14 % (2706592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.14 % (2706592)CaDiCaL version: 2.1.3
% 5.38/2.14 % (2706592)Termination reason: Instruction limit
% 5.38/2.14 % (2706592)Termination phase: Saturation
% 5.38/2.14 % (2706592)Time elapsed: 0.168 s
% 5.38/2.14 % (2706592)Peak memory usage: 95 MB
% 5.38/2.14 % (2706592)Instructions burned: 295 (million)
% 5.38/2.14 % (2706595)Instruction limit reached!
% 5.38/2.14 % (2706595)------------------------------
% 5.38/2.14 % (2706595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.14 % (2706595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.14 % (2706595)CaDiCaL version: 2.1.3
% 5.38/2.14 % (2706595)Termination reason: Instruction limit
% 5.38/2.14 % (2706595)Termination phase: Saturation
% 5.38/2.14 % (2706595)Time elapsed: 0.064 s
% 5.38/2.14 % (2706595)Peak memory usage: 93 MB
% 5.38/2.14 % (2706595)Instructions burned: 113 (million)
% 5.38/2.14 % (2706598)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2375693560:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 5.38/2.14 % (2706572)First to succeed.
% 5.38/2.14 % (2706572)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2706566"
% 5.38/2.14 % (2706600)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2409337434:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 5.38/2.14 % (2706598)Instruction limit reached!
% 5.38/2.14 % (2706598)------------------------------
% 5.38/2.14 % (2706598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.14 % (2706598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.14 % (2706598)CaDiCaL version: 2.1.3
% 5.38/2.14 % (2706598)Termination reason: Instruction limit
% 5.38/2.14 % (2706598)Termination phase: Property scanning
% 5.38/2.14 % (2706598)Time elapsed: 0.079 s
% 5.38/2.14 % (2706598)Peak memory usage: 94 MB
% 5.38/2.14 % (2706598)Instructions burned: 127 (million)
% 5.38/2.14 % (2706601)lrs+10_1_sil=8000:sp=occurrence:random_seed=659136357:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 5.38/2.14 % (2706600)Instruction limit reached!
% 5.38/2.14 % (2706600)------------------------------
% 5.38/2.14 % (2706600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.14 % (2706600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.14 % (2706600)CaDiCaL version: 2.1.3
% 5.38/2.14 % (2706600)Termination reason: Instruction limit
% 5.38/2.14 % (2706600)Termination phase: Property scanning
% 5.38/2.14 % (2706600)Time elapsed: 0.058 s
% 5.38/2.14 % (2706600)Peak memory usage: 91 MB
% 5.38/2.14 % (2706600)Instructions burned: 114 (million)
% 5.38/2.14 % (2706572)Refutation found. Thanks to Tanya!
% 5.38/2.14 % SZS status Theorem for theBenchmark
% 5.38/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 8.94/2.34 % (2706572)------------------------------
% 8.94/2.34 % (2706572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.94/2.34 % (2706572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.94/2.34 % (2706572)CaDiCaL version: 2.1.3
% 8.94/2.34 % (2706572)Termination reason: Refutation
% 8.94/2.34 % (2706572)Time elapsed: 0.871 s
% 8.94/2.34 % (2706572)Peak memory usage: 167 MB
% 8.94/2.34 % (2706572)Instructions burned: 2564 (million)
% 8.94/2.34 % (2706572)------------------------------
% 8.94/2.34 % (2706572)------------------------------
% 8.94/2.34 % (2706566)Success in time 1.276 s
% 8.94/2.34 % Vampire exiting
%------------------------------------------------------------------------------