%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT311+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 : n018.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 11:46:48 AM UTC 2026
% Result : Theorem 11.91s 2.65s
% Output : Refutation 12.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 181 ( 35 unt; 6 def)
% Number of atoms : 677 ( 115 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 798 ( 302 ~; 352 |; 106 &)
% ( 6 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 7 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-2 aty)
% Number of variables : 174 ( 0 sgn 168 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f584,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
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(f2472,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_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(f2882,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f2884,axiom,
! [X0,X1] :
( ( ~ 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))) )
=> k3_filter_2(X0,X1) = k3_filter_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_filter_2) ).
fof(f2937,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(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/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f2954,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f2955,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_filter_2) ).
fof(f2957,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_filter_2) ).
fof(f2967,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(k1_lattice2(X0)))) )
=> ( k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) = k19_filter_2(X0,X1)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_filter_2) ).
fof(f2970,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_filter_2) ).
fof(f2971,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2970]) ).
fof(f3015,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f2882]) ).
fof(f3016,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f3015]) ).
fof(f3019,plain,
! [X0,X1] :
( k3_filter_2(X0,X1) = k3_filter_0(X0,X1)
| 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))) ),
inference(ennf_transformation,[],[f2884]) ).
fof(f3020,plain,
! [X0,X1] :
( k3_filter_2(X0,X1) = k3_filter_0(X0,X1)
| 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))) ),
inference(flattening,[],[f3019]) ).
fof(f3122,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,[],[f2937]) ).
fof(f3123,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,[],[f3122]) ).
fof(f3134,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(f3135,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,[],[f3134]) ).
fof(f3156,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2954]) ).
fof(f3157,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3156]) ).
fof(f3158,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2955]) ).
fof(f3159,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3158]) ).
fof(f3162,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2957]) ).
fof(f3163,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3162]) ).
fof(f3182,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) = k19_filter_2(X0,X1)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2)) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(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,[],[f2967]) ).
fof(f3183,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) = k19_filter_2(X0,X1)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2)) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(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,[],[f3182]) ).
fof(f3188,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2))
& r2_hidden(X1,X2)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2971]) ).
fof(f3189,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2))
& r2_hidden(X1,X2)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f3188]) ).
fof(f3212,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f3234,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f584]) ).
fof(f3235,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f3234]) ).
fof(f3262,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(f3263,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3262]) ).
fof(f3276,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2472]) ).
fof(f3277,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3276]) ).
fof(f3332,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f3335,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(f3336,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,[],[f3335]) ).
fof(f3337,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(f3338,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3337]) ).
fof(f3496,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(f3497,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,[],[f3496]) ).
fof(f4875,plain,
( ~ r1_tarski(k18_filter_2(sK23,sK24),k19_filter_2(sK23,sK25))
& r2_hidden(sK24,sK25)
& ~ v1_xboole_0(sK25)
& m1_subset_1(sK25,k1_zfmisc_1(u1_struct_0(sK23)))
& m1_subset_1(sK24,u1_struct_0(sK23))
& ~ v3_struct_0(sK23)
& v10_lattices(sK23)
& l3_lattices(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24,sK25]),skolemize(X0,sK23),skolemize(X1,sK24),skolemize(X2,sK25)],[f3189]) ).
fof(f5521,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3016]) ).
fof(f5523,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f3020]) ).
fof(f5610,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,[],[f3123]) ).
fof(f5624,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,[],[f3135]) ).
fof(f5649,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k17_filter_2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3157]) ).
fof(f5650,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3159]) ).
fof(f5654,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3163]) ).
fof(f5684,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
| 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(cnf_transformation,[],[f3183]) ).
fof(f5688,plain,
l3_lattices(sK23),
inference(cnf_transformation,[],[f4875]) ).
fof(f5689,plain,
v10_lattices(sK23),
inference(cnf_transformation,[],[f4875]) ).
fof(f5690,plain,
~ v3_struct_0(sK23),
inference(cnf_transformation,[],[f4875]) ).
fof(f5691,plain,
m1_subset_1(sK24,u1_struct_0(sK23)),
inference(cnf_transformation,[],[f4875]) ).
fof(f5692,plain,
m1_subset_1(sK25,k1_zfmisc_1(u1_struct_0(sK23))),
inference(cnf_transformation,[],[f4875]) ).
fof(f5693,plain,
~ v1_xboole_0(sK25),
inference(cnf_transformation,[],[f4875]) ).
fof(f5694,plain,
r2_hidden(sK24,sK25),
inference(cnf_transformation,[],[f4875]) ).
fof(f5695,plain,
~ r1_tarski(k18_filter_2(sK23,sK24),k19_filter_2(sK23,sK25)),
inference(cnf_transformation,[],[f4875]) ).
fof(f5741,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f3212]) ).
fof(f5764,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f3235]) ).
fof(f5801,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3263]) ).
fof(f5811,plain,
! [X2,X0,X1] :
( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
| ~ r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3277]) ).
fof(f5878,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3332]) ).
fof(f5881,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3336]) ).
fof(f5891,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3338]) ).
fof(f6132,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3497]) ).
fof(f9201,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK23))
| v3_struct_0(sK23)
| k18_filter_2(sK23,X0) = a_2_0_filter_2(sK23,X0)
| ~ l3_lattices(sK23) ),
inference(resolution,[],[f5650,f5689]) ).
fof(f9202,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK23))
| k18_filter_2(sK23,X0) = a_2_0_filter_2(sK23,X0)
| ~ l3_lattices(sK23) ),
inference(forward_subsumption_resolution,[],[f9201,f5690]) ).
fof(f9203,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK23))
| k18_filter_2(sK23,X0) = a_2_0_filter_2(sK23,X0) ),
inference(forward_subsumption_resolution,[],[f9202,f5688]) ).
fof(f9204,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK23))
| v3_struct_0(sK23)
| k18_filter_2(sK23,X0) = k2_filter_2(k1_lattice2(sK23),k5_filter_2(sK23,X0))
| ~ l3_lattices(sK23) ),
inference(resolution,[],[f5654,f5689]) ).
fof(f9205,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK23))
| k18_filter_2(sK23,X0) = k2_filter_2(k1_lattice2(sK23),k5_filter_2(sK23,X0))
| ~ l3_lattices(sK23) ),
inference(forward_subsumption_resolution,[],[f9204,f5690]) ).
fof(f9206,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK23))
| k18_filter_2(sK23,X0) = k2_filter_2(k1_lattice2(sK23),k5_filter_2(sK23,X0)) ),
inference(forward_subsumption_resolution,[],[f9205,f5688]) ).
fof(f9207,plain,
k18_filter_2(sK23,sK24) = k2_filter_2(k1_lattice2(sK23),k5_filter_2(sK23,sK24)),
inference(resolution,[],[f9206,f5691]) ).
fof(f9212,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK23)))
| v3_struct_0(sK23)
| k7_filter_2(sK23,X0) = X0
| ~ l3_lattices(sK23) ),
inference(resolution,[],[f5624,f5689]) ).
fof(f9213,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK23)))
| k7_filter_2(sK23,X0) = X0
| ~ l3_lattices(sK23) ),
inference(forward_subsumption_resolution,[],[f9212,f5690]) ).
fof(f9214,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK23)))
| k7_filter_2(sK23,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f9213,f5688]) ).
fof(f9215,plain,
k18_filter_2(sK23,sK24) = a_2_0_filter_2(sK23,sK24),
inference(resolution,[],[f9203,f5691]) ).
fof(f9217,plain,
~ r1_tarski(a_2_0_filter_2(sK23,sK24),k19_filter_2(sK23,sK25)),
inference(superposition,[],[f5695,f9215]) ).
fof(f9267,plain,
( v3_struct_0(sK23)
| u1_struct_0(sK23) = k17_filter_2(sK23)
| ~ l3_lattices(sK23) ),
inference(resolution,[],[f5649,f5689]) ).
fof(f9268,plain,
( u1_struct_0(sK23) = k17_filter_2(sK23)
| ~ l3_lattices(sK23) ),
inference(forward_subsumption_resolution,[],[f9267,f5690]) ).
fof(f9269,plain,
u1_struct_0(sK23) = k17_filter_2(sK23),
inference(forward_subsumption_resolution,[],[f9268,f5688]) ).
fof(f9271,plain,
m1_subset_1(sK25,k1_zfmisc_1(k17_filter_2(sK23))),
inference(superposition,[],[f5692,f9269]) ).
fof(f9298,plain,
sK25 = k7_filter_2(sK23,sK25),
inference(resolution,[],[f9214,f5692]) ).
fof(f9302,plain,
( v3_struct_0(sK23)
| u1_struct_0(sK23) = u1_struct_0(k1_lattice2(sK23)) ),
inference(resolution,[],[f6132,f5688]) ).
fof(f9303,plain,
u1_struct_0(sK23) = u1_struct_0(k1_lattice2(sK23)),
inference(forward_subsumption_resolution,[],[f9302,f5690]) ).
fof(f9304,plain,
u1_struct_0(k1_lattice2(sK23)) = k17_filter_2(sK23),
inference(forward_demodulation,[],[f9303,f9269]) ).
fof(f9305,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK23)))
| v1_xboole_0(X0)
| k19_filter_2(sK23,X1) = k3_filter_2(k1_lattice2(sK23),k7_filter_2(sK23,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK23)))
| v3_struct_0(sK23)
| ~ v10_lattices(sK23)
| ~ l3_lattices(sK23) ),
inference(superposition,[],[f5684,f9304]) ).
fof(f9315,definition,
( spl408_12
<=> v3_struct_0(k1_lattice2(sK23)) ),
introduced(definition,[new_symbols(definition,[spl408_12])],[avatar_definition]) ).
fof(f9316,plain,
( v3_struct_0(k1_lattice2(sK23))
| ~ spl408_12 ),
inference(avatar_component_clause,[],[f9315]) ).
fof(f9325,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK23)))
| v1_xboole_0(X0)
| k19_filter_2(sK23,X1) = k3_filter_2(k1_lattice2(sK23),k7_filter_2(sK23,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK23)))
| ~ v10_lattices(sK23)
| ~ l3_lattices(sK23) ),
inference(forward_subsumption_resolution,[],[f9305,f5690]) ).
fof(f9326,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK23)))
| v1_xboole_0(X0)
| k19_filter_2(sK23,X1) = k3_filter_2(k1_lattice2(sK23),k7_filter_2(sK23,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK23)))
| ~ l3_lattices(sK23) ),
inference(forward_subsumption_resolution,[],[f9325,f5689]) ).
fof(f9327,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK23)))
| v1_xboole_0(X0)
| k19_filter_2(sK23,X1) = k3_filter_2(k1_lattice2(sK23),k7_filter_2(sK23,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK23))) ),
inference(forward_subsumption_resolution,[],[f9326,f5688]) ).
fof(f9328,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k17_filter_2(sK23)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK23)))
| v1_xboole_0(X0)
| k19_filter_2(sK23,X1) = k3_filter_2(k1_lattice2(sK23),k7_filter_2(sK23,X1))
| v1_xboole_0(X1) ),
inference(forward_demodulation,[],[f9327,f9269]) ).
fof(f9330,definition,
( spl408_15
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK23)))
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl408_15])],[avatar_definition]) ).
fof(f9331,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK23)))
| v1_xboole_0(X0) )
| ~ spl408_15 ),
inference(avatar_component_clause,[],[f9330]) ).
fof(f9333,definition,
( spl408_16
<=> ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k17_filter_2(sK23)))
| v1_xboole_0(X1)
| k19_filter_2(sK23,X1) = k3_filter_2(k1_lattice2(sK23),k7_filter_2(sK23,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl408_16])],[avatar_definition]) ).
fof(f9334,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k17_filter_2(sK23)))
| v1_xboole_0(X1)
| k19_filter_2(sK23,X1) = k3_filter_2(k1_lattice2(sK23),k7_filter_2(sK23,X1)) )
| ~ spl408_16 ),
inference(avatar_component_clause,[],[f9333]) ).
fof(f9335,plain,
( spl408_15
| spl408_16 ),
inference(avatar_split_clause,[],[f9328,f9333,f9330]) ).
fof(f9337,plain,
( v1_xboole_0(sK25)
| ~ spl408_15 ),
inference(resolution,[],[f9331,f9271]) ).
fof(f9339,plain,
( $false
| ~ spl408_15 ),
inference(forward_subsumption_resolution,[],[f9337,f5693]) ).
fof(f9340,plain,
~ spl408_15,
inference(avatar_contradiction_clause,[],[f9339]) ).
fof(f9341,plain,
( v1_xboole_0(sK25)
| k19_filter_2(sK23,sK25) = k3_filter_2(k1_lattice2(sK23),k7_filter_2(sK23,sK25))
| ~ spl408_16 ),
inference(resolution,[],[f9334,f9271]) ).
fof(f9342,plain,
( k19_filter_2(sK23,sK25) = k3_filter_2(k1_lattice2(sK23),k7_filter_2(sK23,sK25))
| ~ spl408_16 ),
inference(forward_subsumption_resolution,[],[f9341,f5693]) ).
fof(f9343,plain,
( k19_filter_2(sK23,sK25) = k3_filter_2(k1_lattice2(sK23),sK25)
| ~ spl408_16 ),
inference(forward_demodulation,[],[f9342,f9298]) ).
fof(f9344,plain,
( v3_struct_0(sK23)
| u1_struct_0(sK23) = k1_filter_0(sK23)
| ~ l3_lattices(sK23) ),
inference(resolution,[],[f5801,f5689]) ).
fof(f9345,plain,
( u1_struct_0(sK23) = k1_filter_0(sK23)
| ~ l3_lattices(sK23) ),
inference(forward_subsumption_resolution,[],[f9344,f5690]) ).
fof(f9346,plain,
u1_struct_0(sK23) = k1_filter_0(sK23),
inference(forward_subsumption_resolution,[],[f9345,f5688]) ).
fof(f9348,plain,
m1_subset_1(sK24,k1_filter_0(sK23)),
inference(superposition,[],[f5691,f9346]) ).
fof(f9349,plain,
m1_subset_1(sK25,k1_zfmisc_1(k1_filter_0(sK23))),
inference(superposition,[],[f5692,f9346]) ).
fof(f9358,plain,
k17_filter_2(sK23) = k1_filter_0(sK23),
inference(superposition,[],[f9269,f9346]) ).
fof(f9440,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK23))
| v3_struct_0(sK23)
| k5_filter_2(sK23,X0) = X0
| ~ l3_lattices(sK23) ),
inference(resolution,[],[f5610,f5689]) ).
fof(f9441,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK23))
| k5_filter_2(sK23,X0) = X0
| ~ l3_lattices(sK23) ),
inference(forward_subsumption_resolution,[],[f9440,f5690]) ).
fof(f9442,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK23))
| k5_filter_2(sK23,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f9441,f5688]) ).
fof(f9443,plain,
! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK23))
| k5_filter_2(sK23,X0) = X0 ),
inference(forward_demodulation,[],[f9442,f9269]) ).
fof(f9444,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK23))
| k5_filter_2(sK23,X0) = X0 ),
inference(forward_demodulation,[],[f9443,f9358]) ).
fof(f9445,plain,
sK24 = k5_filter_2(sK23,sK24),
inference(resolution,[],[f9444,f9348]) ).
fof(f9446,plain,
k18_filter_2(sK23,sK24) = k2_filter_2(k1_lattice2(sK23),sK24),
inference(superposition,[],[f9207,f9445]) ).
fof(f9447,plain,
a_2_0_filter_2(sK23,sK24) = k2_filter_2(k1_lattice2(sK23),sK24),
inference(forward_demodulation,[],[f9446,f9215]) ).
fof(f9454,plain,
l3_lattices(k1_lattice2(sK23)),
inference(resolution,[],[f5878,f5688]) ).
fof(f9545,plain,
( v3_struct_0(sK23)
| ~ l3_lattices(sK23)
| ~ spl408_12 ),
inference(resolution,[],[f5891,f9316]) ).
fof(f9547,plain,
( ~ l3_lattices(sK23)
| ~ spl408_12 ),
inference(forward_subsumption_resolution,[],[f9545,f5690]) ).
fof(f9548,plain,
( $false
| ~ spl408_12 ),
inference(forward_subsumption_resolution,[],[f9547,f5688]) ).
fof(f9549,plain,
~ spl408_12,
inference(avatar_contradiction_clause,[],[f9548]) ).
fof(f9551,plain,
( v3_struct_0(sK23)
| v10_lattices(k1_lattice2(sK23))
| ~ l3_lattices(sK23) ),
inference(resolution,[],[f5881,f5689]) ).
fof(f9553,plain,
( v10_lattices(k1_lattice2(sK23))
| ~ l3_lattices(sK23) ),
inference(forward_subsumption_resolution,[],[f9551,f5690]) ).
fof(f9559,plain,
v10_lattices(k1_lattice2(sK23)),
inference(forward_subsumption_resolution,[],[f9553,f5688]) ).
fof(f9562,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK23))
| k2_filter_0(k1_lattice2(sK23),X0) = k2_filter_2(k1_lattice2(sK23),X0)
| ~ l3_lattices(k1_lattice2(sK23))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK23))) ),
inference(resolution,[],[f9559,f5521]) ).
fof(f9564,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK23))
| k3_filter_0(k1_lattice2(sK23),X0) = k3_filter_2(k1_lattice2(sK23),X0)
| ~ l3_lattices(k1_lattice2(sK23))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK23)))) ),
inference(resolution,[],[f9559,f5523]) ).
fof(f9605,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK23))
| k3_filter_0(k1_lattice2(sK23),X0) = k3_filter_2(k1_lattice2(sK23),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK23)))) ),
inference(forward_subsumption_resolution,[],[f9564,f9454]) ).
fof(f9607,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK23))
| k2_filter_0(k1_lattice2(sK23),X0) = k2_filter_2(k1_lattice2(sK23),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK23))) ),
inference(forward_subsumption_resolution,[],[f9562,f9454]) ).
fof(f9632,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK23)))
| v3_struct_0(k1_lattice2(sK23))
| k3_filter_0(k1_lattice2(sK23),X0) = k3_filter_2(k1_lattice2(sK23),X0)
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f9605,f9304]) ).
fof(f9634,plain,
! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK23))
| v3_struct_0(k1_lattice2(sK23))
| k2_filter_0(k1_lattice2(sK23),X0) = k2_filter_2(k1_lattice2(sK23),X0) ),
inference(forward_demodulation,[],[f9607,f9304]) ).
fof(f9658,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK23)))
| v3_struct_0(k1_lattice2(sK23))
| k3_filter_0(k1_lattice2(sK23),X0) = k3_filter_2(k1_lattice2(sK23),X0)
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f9632,f9358]) ).
fof(f9660,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK23))
| v3_struct_0(k1_lattice2(sK23))
| k2_filter_0(k1_lattice2(sK23),X0) = k2_filter_2(k1_lattice2(sK23),X0) ),
inference(forward_demodulation,[],[f9634,f9358]) ).
fof(f9720,definition,
( spl408_41
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK23)))
| v1_xboole_0(X0)
| k3_filter_0(k1_lattice2(sK23),X0) = k3_filter_2(k1_lattice2(sK23),X0) ) ),
introduced(definition,[new_symbols(definition,[spl408_41])],[avatar_definition]) ).
fof(f9721,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK23)))
| v1_xboole_0(X0)
| k3_filter_0(k1_lattice2(sK23),X0) = k3_filter_2(k1_lattice2(sK23),X0) )
| ~ spl408_41 ),
inference(avatar_component_clause,[],[f9720]) ).
fof(f9722,plain,
( spl408_12
| spl408_41 ),
inference(avatar_split_clause,[],[f9658,f9720,f9315]) ).
fof(f9728,definition,
( spl408_43
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK23))
| k2_filter_0(k1_lattice2(sK23),X0) = k2_filter_2(k1_lattice2(sK23),X0) ) ),
introduced(definition,[new_symbols(definition,[spl408_43])],[avatar_definition]) ).
fof(f9729,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK23))
| k2_filter_0(k1_lattice2(sK23),X0) = k2_filter_2(k1_lattice2(sK23),X0) )
| ~ spl408_43 ),
inference(avatar_component_clause,[],[f9728]) ).
fof(f9730,plain,
( spl408_12
| spl408_43 ),
inference(avatar_split_clause,[],[f9660,f9728,f9315]) ).
fof(f9770,plain,
( v1_xboole_0(sK25)
| k3_filter_2(k1_lattice2(sK23),sK25) = k3_filter_0(k1_lattice2(sK23),sK25)
| ~ spl408_41 ),
inference(resolution,[],[f9721,f9349]) ).
fof(f9771,plain,
( k3_filter_2(k1_lattice2(sK23),sK25) = k3_filter_0(k1_lattice2(sK23),sK25)
| ~ spl408_41 ),
inference(forward_subsumption_resolution,[],[f9770,f5693]) ).
fof(f9772,plain,
( k19_filter_2(sK23,sK25) = k3_filter_0(k1_lattice2(sK23),sK25)
| ~ spl408_16
| ~ spl408_41 ),
inference(forward_demodulation,[],[f9771,f9343]) ).
fof(f9773,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK23),X0),k19_filter_2(sK23,sK25))
| ~ r2_hidden(X0,sK25)
| v1_xboole_0(sK25)
| ~ m1_subset_1(sK25,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK23))))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK23)))
| v3_struct_0(k1_lattice2(sK23))
| ~ v10_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23)) )
| ~ spl408_16
| ~ spl408_41 ),
inference(superposition,[],[f5811,f9772]) ).
fof(f9774,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK23),X0),k19_filter_2(sK23,sK25))
| ~ r2_hidden(X0,sK25)
| v1_xboole_0(sK25)
| ~ m1_subset_1(sK25,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK23))))
| v3_struct_0(k1_lattice2(sK23))
| ~ v10_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23)) )
| ~ spl408_16
| ~ spl408_41 ),
inference(forward_subsumption_resolution,[],[f9773,f5764]) ).
fof(f9775,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK23),X0),k19_filter_2(sK23,sK25))
| ~ r2_hidden(X0,sK25)
| ~ m1_subset_1(sK25,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK23))))
| v3_struct_0(k1_lattice2(sK23))
| ~ v10_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23)) )
| ~ spl408_16
| ~ spl408_41 ),
inference(forward_subsumption_resolution,[],[f9774,f5741]) ).
fof(f9776,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK23),X0),k19_filter_2(sK23,sK25))
| ~ r2_hidden(X0,sK25)
| ~ m1_subset_1(sK25,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK23))))
| v3_struct_0(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23)) )
| ~ spl408_16
| ~ spl408_41 ),
inference(forward_subsumption_resolution,[],[f9775,f9559]) ).
fof(f9777,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK23),X0),k19_filter_2(sK23,sK25))
| ~ r2_hidden(X0,sK25)
| ~ m1_subset_1(sK25,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK23))))
| v3_struct_0(k1_lattice2(sK23)) )
| ~ spl408_16
| ~ spl408_41 ),
inference(forward_subsumption_resolution,[],[f9776,f9454]) ).
fof(f9778,plain,
( ! [X0] :
( ~ m1_subset_1(sK25,k1_zfmisc_1(k17_filter_2(sK23)))
| r1_tarski(k2_filter_0(k1_lattice2(sK23),X0),k19_filter_2(sK23,sK25))
| ~ r2_hidden(X0,sK25)
| v3_struct_0(k1_lattice2(sK23)) )
| ~ spl408_16
| ~ spl408_41 ),
inference(forward_demodulation,[],[f9777,f9304]) ).
fof(f9779,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK23),X0),k19_filter_2(sK23,sK25))
| ~ r2_hidden(X0,sK25)
| v3_struct_0(k1_lattice2(sK23)) )
| ~ spl408_16
| ~ spl408_41 ),
inference(forward_subsumption_resolution,[],[f9778,f9271]) ).
fof(f9781,definition,
( spl408_50
<=> ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK23),X0),k19_filter_2(sK23,sK25))
| ~ r2_hidden(X0,sK25) ) ),
introduced(definition,[new_symbols(definition,[spl408_50])],[avatar_definition]) ).
fof(f9782,plain,
( ! [X0] :
( r1_tarski(k2_filter_0(k1_lattice2(sK23),X0),k19_filter_2(sK23,sK25))
| ~ r2_hidden(X0,sK25) )
| ~ spl408_50 ),
inference(avatar_component_clause,[],[f9781]) ).
fof(f9783,plain,
( spl408_12
| spl408_50
| ~ spl408_16
| ~ spl408_41 ),
inference(avatar_split_clause,[],[f9779,f9720,f9333,f9781,f9315]) ).
fof(f10138,plain,
( k2_filter_2(k1_lattice2(sK23),sK24) = k2_filter_0(k1_lattice2(sK23),sK24)
| ~ spl408_43 ),
inference(resolution,[],[f9729,f9348]) ).
fof(f10139,plain,
( a_2_0_filter_2(sK23,sK24) = k2_filter_0(k1_lattice2(sK23),sK24)
| ~ spl408_43 ),
inference(forward_demodulation,[],[f10138,f9447]) ).
fof(f10140,plain,
( r1_tarski(a_2_0_filter_2(sK23,sK24),k19_filter_2(sK23,sK25))
| ~ r2_hidden(sK24,sK25)
| ~ spl408_43
| ~ spl408_50 ),
inference(superposition,[],[f9782,f10139]) ).
fof(f10145,plain,
( ~ r2_hidden(sK24,sK25)
| ~ spl408_43
| ~ spl408_50 ),
inference(forward_subsumption_resolution,[],[f10140,f9217]) ).
fof(f10148,plain,
( $false
| ~ spl408_43
| ~ spl408_50 ),
inference(forward_subsumption_resolution,[],[f10145,f5694]) ).
fof(f10149,plain,
( ~ spl408_43
| ~ spl408_50 ),
inference(avatar_contradiction_clause,[],[f10148]) ).
cnf(s8,plain,
( spl408_15
| spl408_16 ),
inference(sat_conversion,[],[f9335]) ).
cnf(s10,plain,
~ spl408_15,
inference(sat_conversion,[],[f9340]) ).
cnf(s22,plain,
~ spl408_12,
inference(sat_conversion,[],[f9549]) ).
cnf(s40,plain,
( spl408_12
| spl408_41 ),
inference(sat_conversion,[],[f9722]) ).
cnf(s42,plain,
( spl408_12
| spl408_43 ),
inference(sat_conversion,[],[f9730]) ).
cnf(s51,plain,
( spl408_12
| ~ spl408_16
| ~ spl408_41
| spl408_50 ),
inference(sat_conversion,[],[f9783]) ).
cnf(s76,plain,
( ~ spl408_43
| ~ spl408_50 ),
inference(sat_conversion,[],[f10149]) ).
cnf(s87,plain,
spl408_43,
inference(rat,[],[s42,s22]) ).
cnf(s89,plain,
spl408_41,
inference(rat,[],[s40,s22]) ).
cnf(s107,plain,
~ spl408_50,
inference(rat,[],[s76,s87]) ).
cnf(s108,plain,
~ spl408_16,
inference(rat,[],[s51,s107,s22,s89]) ).
cnf(s121,plain,
$false,
inference(rat,[],[s8,s108,s10]) ).
fof(f10166,plain,
$false,
inference(avatar_sat_refutation,[],[s121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT311+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 14:31:24 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.91/2.65 % (2417177)Detected formulas, will run a generic FOF schedule.
% 11.91/2.65 % (2417183)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=1048522866:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 11.91/2.65 % (2417182)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=2680118548:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 11.91/2.65 % (2417185)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2080374796:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 11.91/2.65 % (2417188)dis-21_1_sil=8000:lcm=predicate:random_seed=1142974860: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)
% 11.91/2.65 % (2417186)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4230359336:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 11.91/2.65 % (2417184)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=419617162:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 11.91/2.65 % (2417187)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3222132628:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 11.91/2.65 % (2417185)Instruction limit reached!
% 11.91/2.65 % (2417185)------------------------------
% 11.91/2.65 % (2417185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417185)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417185)Termination reason: Instruction limit
% 11.91/2.65 % (2417185)Termination phase: Saturation
% 11.91/2.65 % (2417185)Time elapsed: 0.073 s
% 11.91/2.65 % (2417185)Peak memory usage: 92 MB
% 11.91/2.65 % (2417185)Instructions burned: 109 (million)
% 11.91/2.65 % (2417188)Instruction limit reached!
% 11.91/2.65 % (2417188)------------------------------
% 11.91/2.65 % (2417188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417188)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417188)Termination reason: Instruction limit
% 11.91/2.65 % (2417188)Termination phase: Function definition elimination
% 11.91/2.65 % (2417188)Time elapsed: 0.076 s
% 11.91/2.65 % (2417188)Peak memory usage: 92 MB
% 11.91/2.65 % (2417188)Instructions burned: 130 (million)
% 11.91/2.65 % (2417186)Instruction limit reached!
% 11.91/2.65 % (2417186)------------------------------
% 11.91/2.65 % (2417186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417186)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417186)Termination reason: Instruction limit
% 11.91/2.65 % (2417186)Termination phase: Saturation
% 11.91/2.65 % (2417186)Time elapsed: 0.080 s
% 11.91/2.65 % (2417186)Peak memory usage: 91 MB
% 11.91/2.65 % (2417186)Instructions burned: 119 (million)
% 11.91/2.65 % (2417187)Instruction limit reached!
% 11.91/2.65 % (2417187)------------------------------
% 11.91/2.65 % (2417187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417187)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417187)Termination reason: Instruction limit
% 11.91/2.65 % (2417187)Termination phase: Property scanning
% 11.91/2.65 % (2417187)Time elapsed: 0.086 s
% 11.91/2.65 % (2417187)Peak memory usage: 94 MB
% 11.91/2.65 % (2417187)Instructions burned: 141 (million)
% 11.91/2.65 % (2417196)lrs+10_1_sil=8000:sp=occurrence:random_seed=1723903140:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 11.91/2.65 % (2417197)lrs+10_1_sil=32000:urr=on:br=off:random_seed=313344995:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.91/2.65 % (2417198)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3111951912:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.91/2.65 % (2417199)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=3316306229:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.91/2.65 % (2417197)Instruction limit reached!
% 11.91/2.65 % (2417197)------------------------------
% 11.91/2.65 % (2417197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417197)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417197)Termination reason: Instruction limit
% 11.91/2.65 % (2417197)Termination phase: Saturation
% 11.91/2.65 % (2417197)Time elapsed: 0.088 s
% 11.91/2.65 % (2417197)Peak memory usage: 93 MB
% 11.91/2.65 % (2417197)Instructions burned: 159 (million)
% 11.91/2.65 % (2417196)Instruction limit reached!
% 11.91/2.65 % (2417196)------------------------------
% 11.91/2.65 % (2417196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417196)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417196)Termination reason: Instruction limit
% 11.91/2.65 % (2417196)Termination phase: Saturation
% 11.91/2.65 % (2417196)Time elapsed: 0.097 s
% 11.91/2.65 % (2417196)Peak memory usage: 95 MB
% 11.91/2.65 % (2417196)Instructions burned: 286 (million)
% 11.91/2.65 % (2417199)Instruction limit reached!
% 11.91/2.65 % (2417199)------------------------------
% 11.91/2.65 % (2417199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417199)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417199)Termination reason: Instruction limit
% 11.91/2.65 % (2417199)Termination phase: Saturation
% 11.91/2.65 % (2417199)Time elapsed: 0.145 s
% 11.91/2.65 % (2417199)Peak memory usage: 98 MB
% 11.91/2.65 % (2417199)Instructions burned: 249 (million)
% 11.91/2.65 % (2417205)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=44446262:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.91/2.65 % (2417204)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1136652745:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 11.91/2.65 % (2417198)Instruction limit reached!
% 11.91/2.65 % (2417198)------------------------------
% 11.91/2.65 % (2417198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417198)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417198)Termination reason: Instruction limit
% 11.91/2.65 % (2417198)Termination phase: Saturation
% 11.91/2.65 % (2417198)Time elapsed: 0.224 s
% 11.91/2.65 % (2417198)Peak memory usage: 94 MB
% 11.91/2.65 % (2417198)Instructions burned: 325 (million)
% 11.91/2.65 % (2417207)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2497135023:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 11.91/2.65 % (2417204)Instruction limit reached!
% 11.91/2.65 % (2417204)------------------------------
% 11.91/2.65 % (2417204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417204)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417204)Termination reason: Instruction limit
% 11.91/2.65 % (2417204)Termination phase: Saturation
% 11.91/2.65 % (2417204)Time elapsed: 0.169 s
% 11.91/2.65 % (2417204)Peak memory usage: 95 MB
% 11.91/2.65 % (2417204)Instructions burned: 296 (million)
% 11.91/2.65 % (2417209)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=193914504:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 11.91/2.65 % (2417207)Instruction limit reached!
% 11.91/2.65 % (2417207)------------------------------
% 11.91/2.65 % (2417207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417207)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417207)Termination reason: Instruction limit
% 11.91/2.65 % (2417207)Termination phase: Saturation
% 11.91/2.65 % (2417207)Time elapsed: 0.068 s
% 11.91/2.65 % (2417207)Peak memory usage: 93 MB
% 11.91/2.65 % (2417207)Instructions burned: 113 (million)
% 11.91/2.65 % (2417209)Instruction limit reached!
% 11.91/2.65 % (2417209)------------------------------
% 11.91/2.65 % (2417209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417209)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417209)Termination reason: Instruction limit
% 11.91/2.65 % (2417209)Termination phase: Property scanning
% 11.91/2.65 % (2417209)Time elapsed: 0.077 s
% 11.91/2.65 % (2417209)Peak memory usage: 94 MB
% 11.91/2.65 % (2417209)Instructions burned: 128 (million)
% 11.91/2.65 % (2417212)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3009170425:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 11.91/2.65 % (2417213)lrs+10_1_sil=8000:sp=occurrence:random_seed=3469878839:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 11.91/2.65 % (2417212)Instruction limit reached!
% 11.91/2.65 % (2417212)------------------------------
% 11.91/2.65 % (2417212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417212)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417212)Termination reason: Instruction limit
% 11.91/2.65 % (2417212)Termination phase: Property scanning
% 11.91/2.65 % (2417212)Time elapsed: 0.058 s
% 11.91/2.65 % (2417212)Peak memory usage: 91 MB
% 11.91/2.65 % (2417212)Instructions burned: 116 (million)
% 11.91/2.65 % (2417214)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1753456137:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 11.91/2.65 % (2417217)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=577415079:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 11.91/2.65 % (2417214)Instruction limit reached!
% 11.91/2.65 % (2417214)------------------------------
% 11.91/2.65 % (2417214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417214)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417214)Termination reason: Instruction limit
% 11.91/2.65 % (2417214)Termination phase: Saturation
% 11.91/2.65 % (2417214)Time elapsed: 0.256 s
% 11.91/2.65 % (2417214)Peak memory usage: 96 MB
% 11.91/2.65 % (2417214)Instructions burned: 438 (million)
% 11.91/2.65 % (2417183)First to succeed.
% 11.91/2.65 % (2417183)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2417177"
% 11.91/2.65 % (2417220)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=537344501:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 11.91/2.65 % (2417220)Instruction limit reached!
% 11.91/2.65 % (2417220)------------------------------
% 11.91/2.65 % (2417220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417220)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417220)Termination reason: Instruction limit
% 11.91/2.65 % (2417220)Termination phase: Saturation
% 11.91/2.65 % (2417220)Time elapsed: 0.082 s
% 11.91/2.65 % (2417220)Peak memory usage: 94 MB
% 11.91/2.65 % (2417220)Instructions burned: 135 (million)
% 11.91/2.65 % (2417213)Instruction limit reached!
% 11.91/2.65 % (2417213)------------------------------
% 11.91/2.65 % (2417213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.65 % (2417213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.65 % (2417213)CaDiCaL version: 2.1.3
% 11.91/2.65 % (2417213)Termination reason: Instruction limit
% 11.91/2.65 % (2417213)Termination phase: Saturation
% 11.91/2.65 % (2417213)Time elapsed: 0.603 s
% 11.91/2.65 % (2417213)Peak memory usage: 103 MB
% 11.91/2.65 % (2417213)Instructions burned: 908 (million)
% 11.91/2.65 % (2417183)Refutation found. Thanks to Tanya!
% 11.91/2.65 % SZS status Theorem for theBenchmark
% 11.91/2.65 % SZS output start Proof for theBenchmark
% See solution above
% 12.53/2.85 % (2417183)------------------------------
% 12.53/2.85 % (2417183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.85 % (2417183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.85 % (2417183)CaDiCaL version: 2.1.3
% 12.53/2.85 % (2417183)Termination reason: Refutation
% 12.53/2.85 % (2417183)Time elapsed: 1.280 s
% 12.53/2.85 % (2417183)Peak memory usage: 171 MB
% 12.53/2.85 % (2417183)Instructions burned: 2305 (million)
% 12.53/2.85 % (2417183)------------------------------
% 12.53/2.85 % (2417183)------------------------------
% 12.53/2.85 % (2417177)Success in time 1.791 s
% 12.53/2.85 % Vampire exiting
%------------------------------------------------------------------------------