%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT306+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 : n011.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 11:46:44 AM UTC 2026
% Result : Theorem 15.07s 3.07s
% Output : Refutation 15.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 33
% Syntax : Number of formulae : 252 ( 40 unt; 9 def)
% Number of atoms : 903 ( 104 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1069 ( 418 ~; 480 |; 117 &)
% ( 18 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 10 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 1 con; 0-3 aty)
% Number of variables : 205 ( 0 sgn 203 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2410,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f2426,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(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(f2475,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0)
& r2_hidden(k5_lattices(X0),X1) )
=> ( X1 = k1_filter_0(X0)
& X1 = u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_filter_0) ).
fof(f2543,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_filter_0(k2_filter_0(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_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(f2644,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_lattice2) ).
fof(f2645,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_lattice2) ).
fof(f2660,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_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(f2809,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_lattice4(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_lattice4) ).
fof(f2857,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f2874,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(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/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
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(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(f2953,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_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(f2958,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_filter_2) ).
fof(f2959,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_filter_2) ).
fof(f2960,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0))) ) ),
inference(negated_conjecture,[status(cth)],[f2959]) ).
fof(f2988,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2874]) ).
fof(f2989,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f2988]) ).
fof(f2996,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(f2997,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,[],[f2996]) ).
fof(f3004,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(f3005,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,[],[f3004]) ).
fof(f3111,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(f3112,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,[],[f3111]) ).
fof(f3143,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2953]) ).
fof(f3144,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3143]) ).
fof(f3145,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(f3146,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3145]) ).
fof(f3147,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(f3148,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,[],[f3147]) ).
fof(f3151,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(f3152,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,[],[f3151]) ).
fof(f3153,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
| ~ m1_subset_1(X2,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,[],[f2958]) ).
fof(f3154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3153]) ).
fof(f3155,plain,
? [X0] :
( ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0)))
& v14_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2960]) ).
fof(f3156,plain,
? [X0] :
( ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0)))
& v14_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f3155]) ).
fof(f3182,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2857]) ).
fof(f3183,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3182]) ).
fof(f3186,plain,
! [X0] :
( m2_lattice4(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2809]) ).
fof(f3187,plain,
! [X0] :
( m2_lattice4(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3186]) ).
fof(f3223,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_filter_0(X0)
& X1 = u1_struct_0(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2475]) ).
fof(f3224,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_filter_0(X0)
& X1 = u1_struct_0(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3223]) ).
fof(f3229,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(f3230,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3229]) ).
fof(f3231,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f2543]) ).
fof(f3232,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f3231]) ).
fof(f3299,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f3302,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(f3303,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,[],[f3302]) ).
fof(f3304,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(f3305,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3304]) ).
fof(f3463,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(f3464,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,[],[f3463]) ).
fof(f3527,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2645]) ).
fof(f3528,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3527]) ).
fof(f3529,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2644]) ).
fof(f3530,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3529]) ).
fof(f3531,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2660]) ).
fof(f3532,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3531]) ).
fof(f3727,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2410]) ).
fof(f3729,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f2426]) ).
fof(f3730,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f3729]) ).
fof(f4803,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,[],[f2997]) ).
fof(f4831,plain,
( ~ r1_filter_2(u1_struct_0(sK19),k17_filter_2(sK19),k18_filter_2(sK19,k6_lattices(sK19)))
& v14_lattices(sK19)
& ~ v3_struct_0(sK19)
& v10_lattices(sK19)
& l3_lattices(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f3156]) ).
fof(f5017,plain,
! [X0] :
( ( ( v14_lattices(X0)
| ~ v13_lattices(k1_lattice2(X0)) )
& ( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3528]) ).
fof(f5018,plain,
! [X0] :
( ( ( v13_lattices(X0)
| ~ v14_lattices(k1_lattice2(X0)) )
& ( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3530]) ).
fof(f5468,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f2989]) ).
fof(f5473,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,[],[f4803]) ).
fof(f5477,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3005]) ).
fof(f5566,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k5_filter_2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f3112]) ).
fof(f5604,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3144]) ).
fof(f5605,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k17_filter_2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3146]) ).
fof(f5606,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,[],[f3148]) ).
fof(f5610,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,[],[f3152]) ).
fof(f5613,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| r2_hidden(X1,k18_filter_2(X0,X1))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3154]) ).
fof(f5614,plain,
l3_lattices(sK19),
inference(cnf_transformation,[],[f4831]) ).
fof(f5615,plain,
v10_lattices(sK19),
inference(cnf_transformation,[],[f4831]) ).
fof(f5616,plain,
~ v3_struct_0(sK19),
inference(cnf_transformation,[],[f4831]) ).
fof(f5617,plain,
v14_lattices(sK19),
inference(cnf_transformation,[],[f4831]) ).
fof(f5618,plain,
~ r1_filter_2(u1_struct_0(sK19),k17_filter_2(sK19),k18_filter_2(sK19,k6_lattices(sK19))),
inference(cnf_transformation,[],[f4831]) ).
fof(f5668,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| 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(f5670,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m2_lattice4(u1_struct_0(X0),X0) ),
inference(cnf_transformation,[],[f3187]) ).
fof(f5719,plain,
! [X0,X1] :
( u1_struct_0(X0) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3224]) ).
fof(f5724,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3230]) ).
fof(f5725,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k2_filter_0(X0,X1),X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3232]) ).
fof(f5801,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3299]) ).
fof(f5804,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3303]) ).
fof(f5814,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3305]) ).
fof(f6055,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3464]) ).
fof(f6136,plain,
! [X0] :
( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5017]) ).
fof(f6138,plain,
! [X0] :
( ~ v13_lattices(X0)
| v14_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5018]) ).
fof(f6139,plain,
! [X0] :
( ~ v14_lattices(k1_lattice2(X0))
| v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5018]) ).
fof(f6140,plain,
! [X0] :
( ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3532]) ).
fof(f6479,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3727]) ).
fof(f6485,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3730]) ).
fof(f8526,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,[],[f5473]) ).
fof(f8838,plain,
! [X0,X1] :
( ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| u1_struct_0(X0) = X1
| ~ l3_lattices(X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ~ m1_filter_0(X1,X0) ),
inference(duplicate_literal_removal,[],[f5719]) ).
fof(f8840,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,[],[f8526]) ).
fof(f9095,plain,
( v3_struct_0(sK19)
| u1_struct_0(sK19) = k17_filter_2(sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5605,f5615]) ).
fof(f9096,plain,
( u1_struct_0(sK19) = k17_filter_2(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9095,f5616]) ).
fof(f9097,plain,
u1_struct_0(sK19) = k17_filter_2(sK19),
inference(forward_subsumption_resolution,[],[f9096,f5614]) ).
fof(f9098,plain,
~ r1_filter_2(u1_struct_0(sK19),u1_struct_0(sK19),k18_filter_2(sK19,k6_lattices(sK19))),
inference(superposition,[],[f5618,f9097]) ).
fof(f9099,plain,
( v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| k6_lattices(sK19) = k5_lattices(k1_lattice2(sK19))
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f6140,f5617]) ).
fof(f9100,plain,
( ~ v10_lattices(sK19)
| k6_lattices(sK19) = k5_lattices(k1_lattice2(sK19))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9099,f5616]) ).
fof(f9101,plain,
( k6_lattices(sK19) = k5_lattices(k1_lattice2(sK19))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9100,f5615]) ).
fof(f9102,plain,
k6_lattices(sK19) = k5_lattices(k1_lattice2(sK19)),
inference(forward_subsumption_resolution,[],[f9101,f5614]) ).
fof(f9103,plain,
( v3_struct_0(sK19)
| u1_struct_0(sK19) = u1_struct_0(k1_lattice2(sK19)) ),
inference(resolution,[],[f6055,f5614]) ).
fof(f9104,plain,
u1_struct_0(sK19) = u1_struct_0(k1_lattice2(sK19)),
inference(forward_subsumption_resolution,[],[f9103,f5616]) ).
fof(f9113,definition,
( spl402_7
<=> v3_struct_0(k1_lattice2(sK19)) ),
introduced(definition,[new_symbols(definition,[spl402_7])],[avatar_definition]) ).
fof(f9114,plain,
( v3_struct_0(k1_lattice2(sK19))
| ~ spl402_7 ),
inference(avatar_component_clause,[],[f9113]) ).
fof(f9119,plain,
( v3_struct_0(sK19)
| u1_struct_0(sK19) = k1_filter_0(sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5724,f5615]) ).
fof(f9120,plain,
( u1_struct_0(sK19) = k1_filter_0(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9119,f5616]) ).
fof(f9121,plain,
u1_struct_0(sK19) = k1_filter_0(sK19),
inference(forward_subsumption_resolution,[],[f9120,f5614]) ).
fof(f9122,plain,
~ r1_filter_2(k1_filter_0(sK19),k1_filter_0(sK19),k18_filter_2(sK19,k6_lattices(sK19))),
inference(superposition,[],[f9098,f9121]) ).
fof(f9127,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| v3_struct_0(sK19)
| k18_filter_2(sK19,X0) = a_2_0_filter_2(sK19,X0)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5606,f5615]) ).
fof(f9128,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| k18_filter_2(sK19,X0) = a_2_0_filter_2(sK19,X0)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9127,f5616]) ).
fof(f9129,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| k18_filter_2(sK19,X0) = a_2_0_filter_2(sK19,X0) ),
inference(forward_subsumption_resolution,[],[f9128,f5614]) ).
fof(f9130,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK19))
| k18_filter_2(sK19,X0) = a_2_0_filter_2(sK19,X0) ),
inference(forward_demodulation,[],[f9129,f9121]) ).
fof(f9136,plain,
l3_lattices(k1_lattice2(sK19)),
inference(resolution,[],[f5801,f5614]) ).
fof(f9153,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| v3_struct_0(sK19)
| k18_filter_2(sK19,X0) = k2_filter_2(k1_lattice2(sK19),k5_filter_2(sK19,X0))
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5610,f5615]) ).
fof(f9154,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| k18_filter_2(sK19,X0) = k2_filter_2(k1_lattice2(sK19),k5_filter_2(sK19,X0))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9153,f5616]) ).
fof(f9155,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| k18_filter_2(sK19,X0) = k2_filter_2(k1_lattice2(sK19),k5_filter_2(sK19,X0)) ),
inference(forward_subsumption_resolution,[],[f9154,f5614]) ).
fof(f9156,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK19))
| k18_filter_2(sK19,X0) = k2_filter_2(k1_lattice2(sK19),k5_filter_2(sK19,X0)) ),
inference(forward_demodulation,[],[f9155,f9121]) ).
fof(f9158,plain,
( v3_struct_0(sK19)
| ~ l3_lattices(sK19)
| ~ spl402_7 ),
inference(resolution,[],[f5814,f9114]) ).
fof(f9160,plain,
( ~ l3_lattices(sK19)
| ~ spl402_7 ),
inference(forward_subsumption_resolution,[],[f9158,f5616]) ).
fof(f9161,plain,
( $false
| ~ spl402_7 ),
inference(forward_subsumption_resolution,[],[f9160,f5614]) ).
fof(f9162,plain,
~ spl402_7,
inference(avatar_contradiction_clause,[],[f9161]) ).
fof(f9163,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f6485,f6479]) ).
fof(f9165,plain,
( m1_subset_1(k6_lattices(sK19),k1_filter_0(sK19))
| v3_struct_0(sK19)
| ~ l3_lattices(sK19) ),
inference(superposition,[],[f9163,f9121]) ).
fof(f9166,plain,
( m1_subset_1(k6_lattices(sK19),k1_filter_0(sK19))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9165,f5616]) ).
fof(f9168,plain,
m1_subset_1(k6_lattices(sK19),k1_filter_0(sK19)),
inference(forward_subsumption_resolution,[],[f9166,f5614]) ).
fof(f9174,plain,
k18_filter_2(sK19,k6_lattices(sK19)) = k2_filter_2(k1_lattice2(sK19),k5_filter_2(sK19,k6_lattices(sK19))),
inference(resolution,[],[f9168,f9156]) ).
fof(f9175,plain,
k18_filter_2(sK19,k6_lattices(sK19)) = a_2_0_filter_2(sK19,k6_lattices(sK19)),
inference(resolution,[],[f9168,f9130]) ).
fof(f9176,plain,
k2_filter_2(k1_lattice2(sK19),k5_filter_2(sK19,k6_lattices(sK19))) = a_2_0_filter_2(sK19,k6_lattices(sK19)),
inference(forward_demodulation,[],[f9174,f9175]) ).
fof(f9177,plain,
~ r1_filter_2(k1_filter_0(sK19),k1_filter_0(sK19),a_2_0_filter_2(sK19,k6_lattices(sK19))),
inference(superposition,[],[f9122,f9175]) ).
fof(f9191,plain,
( v3_struct_0(sK19)
| v10_lattices(k1_lattice2(sK19))
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5804,f5615]) ).
fof(f9193,plain,
( v10_lattices(k1_lattice2(sK19))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9191,f5616]) ).
fof(f9199,plain,
v10_lattices(k1_lattice2(sK19)),
inference(forward_subsumption_resolution,[],[f9193,f5614]) ).
fof(f9267,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| ~ m1_subset_1(X1,u1_struct_0(sK19))
| v3_struct_0(sK19)
| r2_hidden(X1,k18_filter_2(sK19,X1))
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5613,f5615]) ).
fof(f9270,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| ~ m1_subset_1(X1,u1_struct_0(sK19))
| r2_hidden(X1,k18_filter_2(sK19,X1))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9267,f5616]) ).
fof(f9272,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| ~ m1_subset_1(X1,u1_struct_0(sK19))
| r2_hidden(X1,k18_filter_2(sK19,X1)) ),
inference(forward_subsumption_resolution,[],[f9270,f5614]) ).
fof(f9274,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK19))
| ~ m1_subset_1(X1,u1_struct_0(sK19))
| r2_hidden(X1,k18_filter_2(sK19,X1)) ),
inference(forward_demodulation,[],[f9272,f9121]) ).
fof(f9276,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_0(sK19))
| ~ m1_subset_1(X0,k1_filter_0(sK19))
| r2_hidden(X1,k18_filter_2(sK19,X1)) ),
inference(forward_demodulation,[],[f9274,f9121]) ).
fof(f9279,definition,
( spl402_20
<=> ! [X0] : ~ m1_subset_1(X0,k1_filter_0(sK19)) ),
introduced(definition,[new_symbols(definition,[spl402_20])],[avatar_definition]) ).
fof(f9280,plain,
( ! [X0] : ~ m1_subset_1(X0,k1_filter_0(sK19))
| ~ spl402_20 ),
inference(avatar_component_clause,[],[f9279]) ).
fof(f9282,definition,
( spl402_21
<=> ! [X1] :
( ~ m1_subset_1(X1,k1_filter_0(sK19))
| r2_hidden(X1,k18_filter_2(sK19,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl402_21])],[avatar_definition]) ).
fof(f9283,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_filter_0(sK19))
| r2_hidden(X1,k18_filter_2(sK19,X1)) )
| ~ spl402_21 ),
inference(avatar_component_clause,[],[f9282]) ).
fof(f9284,plain,
( spl402_20
| spl402_21 ),
inference(avatar_split_clause,[],[f9276,f9282,f9279]) ).
fof(f9289,plain,
( $false
| ~ spl402_20 ),
inference(unit_resulting_resolution,[],[f9280,f9168]) ).
fof(f9292,plain,
~ spl402_20,
inference(avatar_contradiction_clause,[],[f9289]) ).
fof(f9293,plain,
( r2_hidden(k6_lattices(sK19),k18_filter_2(sK19,k6_lattices(sK19)))
| ~ spl402_21 ),
inference(resolution,[],[f9283,f9168]) ).
fof(f9294,plain,
( r2_hidden(k6_lattices(sK19),a_2_0_filter_2(sK19,k6_lattices(sK19)))
| ~ spl402_21 ),
inference(forward_demodulation,[],[f9293,f9175]) ).
fof(f9365,plain,
( m2_filter_2(k1_filter_0(sK19),sK19)
| v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19) ),
inference(superposition,[],[f5604,f9121]) ).
fof(f9366,plain,
( m2_filter_2(k1_filter_0(sK19),sK19)
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9365,f5616]) ).
fof(f9368,plain,
( m2_filter_2(k1_filter_0(sK19),sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9366,f5615]) ).
fof(f9370,plain,
m2_filter_2(k1_filter_0(sK19),sK19),
inference(forward_subsumption_resolution,[],[f9368,f5614]) ).
fof(f9626,definition,
( spl402_46
<=> v1_xboole_0(k1_filter_0(sK19)) ),
introduced(definition,[new_symbols(definition,[spl402_46])],[avatar_definition]) ).
fof(f9627,plain,
( v1_xboole_0(k1_filter_0(sK19))
| ~ spl402_46 ),
inference(avatar_component_clause,[],[f9626]) ).
fof(f9646,plain,
( $false
| ~ spl402_46 ),
inference(unit_resulting_resolution,[],[f5468,f5614,f5615,f5616,f9370,f9627]) ).
fof(f9650,plain,
~ spl402_46,
inference(avatar_contradiction_clause,[],[f9646]) ).
fof(f9661,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK19))
| m1_filter_0(k2_filter_0(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ l3_lattices(k1_lattice2(sK19))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK19))) ),
inference(resolution,[],[f5725,f9199]) ).
fof(f9662,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK19))
| m1_filter_0(k2_filter_0(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK19))) ),
inference(forward_subsumption_resolution,[],[f9661,f9136]) ).
fof(f9664,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| v3_struct_0(k1_lattice2(sK19))
| m1_filter_0(k2_filter_0(k1_lattice2(sK19),X0),k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9662,f9104]) ).
fof(f9666,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK19))
| v3_struct_0(k1_lattice2(sK19))
| m1_filter_0(k2_filter_0(k1_lattice2(sK19),X0),k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9664,f9121]) ).
fof(f9669,definition,
( spl402_48
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK19))
| m1_filter_0(k2_filter_0(k1_lattice2(sK19),X0),k1_lattice2(sK19)) ) ),
introduced(definition,[new_symbols(definition,[spl402_48])],[avatar_definition]) ).
fof(f9670,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK19))
| m1_filter_0(k2_filter_0(k1_lattice2(sK19),X0),k1_lattice2(sK19)) )
| ~ spl402_48 ),
inference(avatar_component_clause,[],[f9669]) ).
fof(f9671,plain,
( spl402_7
| spl402_48 ),
inference(avatar_split_clause,[],[f9666,f9669,f9113]) ).
fof(f9830,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK19))
| ~ v10_lattices(k1_lattice2(sK19))
| k2_filter_0(k1_lattice2(sK19),X0) = k2_filter_2(k1_lattice2(sK19),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK19))) ),
inference(resolution,[],[f5477,f9136]) ).
fof(f9831,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK19))
| k2_filter_0(k1_lattice2(sK19),X0) = k2_filter_2(k1_lattice2(sK19),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK19))) ),
inference(forward_subsumption_resolution,[],[f9830,f9199]) ).
fof(f9833,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| v3_struct_0(k1_lattice2(sK19))
| k2_filter_0(k1_lattice2(sK19),X0) = k2_filter_2(k1_lattice2(sK19),X0) ),
inference(forward_demodulation,[],[f9831,f9104]) ).
fof(f9835,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK19))
| v3_struct_0(k1_lattice2(sK19))
| k2_filter_0(k1_lattice2(sK19),X0) = k2_filter_2(k1_lattice2(sK19),X0) ),
inference(forward_demodulation,[],[f9833,f9121]) ).
fof(f9838,definition,
( spl402_56
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK19))
| k2_filter_0(k1_lattice2(sK19),X0) = k2_filter_2(k1_lattice2(sK19),X0) ) ),
introduced(definition,[new_symbols(definition,[spl402_56])],[avatar_definition]) ).
fof(f9839,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK19))
| k2_filter_0(k1_lattice2(sK19),X0) = k2_filter_2(k1_lattice2(sK19),X0) )
| ~ spl402_56 ),
inference(avatar_component_clause,[],[f9838]) ).
fof(f9840,plain,
( spl402_7
| spl402_56 ),
inference(avatar_split_clause,[],[f9835,f9838,f9113]) ).
fof(f9843,plain,
( k2_filter_0(k1_lattice2(sK19),k6_lattices(sK19)) = k2_filter_2(k1_lattice2(sK19),k6_lattices(sK19))
| ~ spl402_56 ),
inference(resolution,[],[f9839,f9168]) ).
fof(f9919,plain,
( v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| m2_lattice4(u1_struct_0(sK19),sK19) ),
inference(resolution,[],[f5670,f5614]) ).
fof(f9922,plain,
( ~ v10_lattices(sK19)
| m2_lattice4(u1_struct_0(sK19),sK19) ),
inference(forward_subsumption_resolution,[],[f9919,f5616]) ).
fof(f9924,plain,
m2_lattice4(u1_struct_0(sK19),sK19),
inference(forward_subsumption_resolution,[],[f9922,f5615]) ).
fof(f9926,plain,
m2_lattice4(k1_filter_0(sK19),sK19),
inference(forward_demodulation,[],[f9924,f9121]) ).
fof(f9933,plain,
( m1_subset_1(k1_filter_0(sK19),k1_zfmisc_1(u1_struct_0(sK19)))
| v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f9926,f5668]) ).
fof(f9934,plain,
( m1_subset_1(k1_filter_0(sK19),k1_zfmisc_1(u1_struct_0(sK19)))
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9933,f5616]) ).
fof(f9937,plain,
( m1_subset_1(k1_filter_0(sK19),k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9934,f5615]) ).
fof(f9938,plain,
m1_subset_1(k1_filter_0(sK19),k1_zfmisc_1(u1_struct_0(sK19))),
inference(forward_subsumption_resolution,[],[f9937,f5614]) ).
fof(f9939,plain,
m1_subset_1(k1_filter_0(sK19),k1_zfmisc_1(k1_filter_0(sK19))),
inference(forward_demodulation,[],[f9938,f9121]) ).
fof(f10522,plain,
! [X0] :
( v14_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f6138,f6136]) ).
fof(f10523,plain,
! [X0] :
( v14_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f10522,f5814]) ).
fof(f10524,plain,
! [X0] :
( v14_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f10523,f5804]) ).
fof(f10525,plain,
! [X0] :
( ~ v14_lattices(X0)
| v14_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f10524,f5801]) ).
fof(f10528,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| k5_filter_2(sK19,X0) = X0 ),
inference(resolution,[],[f5566,f5614]) ).
fof(f10533,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| ~ v10_lattices(sK19)
| k5_filter_2(sK19,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f10528,f5616]) ).
fof(f10536,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK19))
| k5_filter_2(sK19,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f10533,f5615]) ).
fof(f10539,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK19))
| k5_filter_2(sK19,X0) = X0 ),
inference(forward_demodulation,[],[f10536,f9121]) ).
fof(f10544,plain,
k6_lattices(sK19) = k5_filter_2(sK19,k6_lattices(sK19)),
inference(resolution,[],[f10539,f9168]) ).
fof(f10546,plain,
a_2_0_filter_2(sK19,k6_lattices(sK19)) = k2_filter_2(k1_lattice2(sK19),k6_lattices(sK19)),
inference(superposition,[],[f9176,f10544]) ).
fof(f10548,plain,
( a_2_0_filter_2(sK19,k6_lattices(sK19)) = k2_filter_0(k1_lattice2(sK19),k6_lattices(sK19))
| ~ spl402_56 ),
inference(superposition,[],[f9843,f10546]) ).
fof(f10733,plain,
( v14_lattices(k1_lattice2(k1_lattice2(sK19)))
| v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f10525,f5617]) ).
fof(f10734,plain,
( v14_lattices(k1_lattice2(k1_lattice2(sK19)))
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f10733,f5616]) ).
fof(f10735,plain,
( v14_lattices(k1_lattice2(k1_lattice2(sK19)))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f10734,f5615]) ).
fof(f10736,plain,
v14_lattices(k1_lattice2(k1_lattice2(sK19))),
inference(forward_subsumption_resolution,[],[f10735,f5614]) ).
fof(f10737,plain,
( v13_lattices(k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19))
| ~ v10_lattices(k1_lattice2(sK19))
| ~ l3_lattices(k1_lattice2(sK19)) ),
inference(resolution,[],[f10736,f6139]) ).
fof(f10750,plain,
( v13_lattices(k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19))
| ~ l3_lattices(k1_lattice2(sK19)) ),
inference(forward_subsumption_resolution,[],[f10737,f9199]) ).
fof(f10757,plain,
( v13_lattices(k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_subsumption_resolution,[],[f10750,f9136]) ).
fof(f10771,definition,
( spl402_126
<=> v13_lattices(k1_lattice2(sK19)) ),
introduced(definition,[new_symbols(definition,[spl402_126])],[avatar_definition]) ).
fof(f10772,plain,
( v13_lattices(k1_lattice2(sK19))
| ~ spl402_126 ),
inference(avatar_component_clause,[],[f10771]) ).
fof(f10773,plain,
( spl402_7
| spl402_126 ),
inference(avatar_split_clause,[],[f10757,f10771,f9113]) ).
fof(f10794,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(sK19))
| ~ v10_lattices(k1_lattice2(sK19))
| u1_struct_0(k1_lattice2(sK19)) = X0
| ~ l3_lattices(k1_lattice2(sK19))
| ~ r2_hidden(k5_lattices(k1_lattice2(sK19)),X0)
| ~ m1_filter_0(X0,k1_lattice2(sK19)) )
| ~ spl402_126 ),
inference(resolution,[],[f10772,f8838]) ).
fof(f10797,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(sK19))
| u1_struct_0(k1_lattice2(sK19)) = X0
| ~ l3_lattices(k1_lattice2(sK19))
| ~ r2_hidden(k5_lattices(k1_lattice2(sK19)),X0)
| ~ m1_filter_0(X0,k1_lattice2(sK19)) )
| ~ spl402_126 ),
inference(forward_subsumption_resolution,[],[f10794,f9199]) ).
fof(f10801,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(sK19))
| u1_struct_0(k1_lattice2(sK19)) = X0
| ~ r2_hidden(k5_lattices(k1_lattice2(sK19)),X0)
| ~ m1_filter_0(X0,k1_lattice2(sK19)) )
| ~ spl402_126 ),
inference(forward_subsumption_resolution,[],[f10797,f9136]) ).
fof(f10805,plain,
( ! [X0] :
( u1_struct_0(sK19) = X0
| v3_struct_0(k1_lattice2(sK19))
| ~ r2_hidden(k5_lattices(k1_lattice2(sK19)),X0)
| ~ m1_filter_0(X0,k1_lattice2(sK19)) )
| ~ spl402_126 ),
inference(forward_demodulation,[],[f10801,f9104]) ).
fof(f10812,plain,
( ! [X0] :
( k1_filter_0(sK19) = X0
| v3_struct_0(k1_lattice2(sK19))
| ~ r2_hidden(k5_lattices(k1_lattice2(sK19)),X0)
| ~ m1_filter_0(X0,k1_lattice2(sK19)) )
| ~ spl402_126 ),
inference(forward_demodulation,[],[f10805,f9121]) ).
fof(f10815,plain,
( ! [X0] :
( ~ r2_hidden(k6_lattices(sK19),X0)
| k1_filter_0(sK19) = X0
| v3_struct_0(k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19)) )
| ~ spl402_126 ),
inference(forward_demodulation,[],[f10812,f9102]) ).
fof(f10822,definition,
( spl402_133
<=> ! [X0] :
( ~ r2_hidden(k6_lattices(sK19),X0)
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| k1_filter_0(sK19) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl402_133])],[avatar_definition]) ).
fof(f10823,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK19))
| ~ r2_hidden(k6_lattices(sK19),X0)
| k1_filter_0(sK19) = X0 )
| ~ spl402_133 ),
inference(avatar_component_clause,[],[f10822]) ).
fof(f10824,plain,
( spl402_7
| spl402_133
| ~ spl402_126 ),
inference(avatar_split_clause,[],[f10815,f10771,f10822,f9113]) ).
fof(f11213,plain,
( m1_filter_0(k2_filter_0(k1_lattice2(sK19),k6_lattices(sK19)),k1_lattice2(sK19))
| ~ spl402_48 ),
inference(resolution,[],[f9670,f9168]) ).
fof(f11215,plain,
( m1_filter_0(a_2_0_filter_2(sK19,k6_lattices(sK19)),k1_lattice2(sK19))
| ~ spl402_48
| ~ spl402_56 ),
inference(forward_demodulation,[],[f11213,f10548]) ).
fof(f11220,plain,
( ~ r2_hidden(k6_lattices(sK19),a_2_0_filter_2(sK19,k6_lattices(sK19)))
| k1_filter_0(sK19) = a_2_0_filter_2(sK19,k6_lattices(sK19))
| ~ spl402_48
| ~ spl402_56
| ~ spl402_133 ),
inference(resolution,[],[f11215,f10823]) ).
fof(f11228,definition,
( spl402_158
<=> k1_filter_0(sK19) = a_2_0_filter_2(sK19,k6_lattices(sK19)) ),
introduced(definition,[new_symbols(definition,[spl402_158])],[avatar_definition]) ).
fof(f11229,plain,
( k1_filter_0(sK19) = a_2_0_filter_2(sK19,k6_lattices(sK19))
| ~ spl402_158 ),
inference(avatar_component_clause,[],[f11228]) ).
fof(f11231,plain,
( k1_filter_0(sK19) = a_2_0_filter_2(sK19,k6_lattices(sK19))
| ~ spl402_21
| ~ spl402_48
| ~ spl402_56
| ~ spl402_133 ),
inference(forward_subsumption_resolution,[],[f11220,f9294]) ).
fof(f11232,plain,
( spl402_158
| ~ spl402_21
| ~ spl402_48
| ~ spl402_56
| ~ spl402_133 ),
inference(avatar_split_clause,[],[f11231,f10822,f9838,f9669,f9282,f11228]) ).
fof(f11233,plain,
( ~ r1_filter_2(k1_filter_0(sK19),k1_filter_0(sK19),k1_filter_0(sK19))
| ~ spl402_158 ),
inference(superposition,[],[f9177,f11229]) ).
fof(f12066,plain,
( v1_xboole_0(k1_filter_0(sK19))
| ~ m1_subset_1(k1_filter_0(sK19),k1_zfmisc_1(k1_filter_0(sK19)))
| ~ spl402_158 ),
inference(resolution,[],[f11233,f8840]) ).
fof(f12067,plain,
( v1_xboole_0(k1_filter_0(sK19))
| ~ spl402_158 ),
inference(forward_subsumption_resolution,[],[f12066,f9939]) ).
fof(f12068,plain,
( spl402_46
| ~ spl402_158 ),
inference(avatar_split_clause,[],[f12067,f11228,f9626]) ).
cnf(s8,plain,
~ spl402_7,
inference(sat_conversion,[],[f9162]) ).
cnf(s21,plain,
( spl402_20
| spl402_21 ),
inference(sat_conversion,[],[f9284]) ).
cnf(s24,plain,
~ spl402_20,
inference(sat_conversion,[],[f9292]) ).
cnf(s50,plain,
~ spl402_46,
inference(sat_conversion,[],[f9650]) ).
cnf(s51,plain,
( spl402_7
| spl402_48 ),
inference(sat_conversion,[],[f9671]) ).
cnf(s58,plain,
( spl402_7
| spl402_56 ),
inference(sat_conversion,[],[f9840]) ).
cnf(s121,plain,
( spl402_7
| spl402_126 ),
inference(sat_conversion,[],[f10773]) ).
cnf(s128,plain,
( spl402_7
| ~ spl402_126
| spl402_133 ),
inference(sat_conversion,[],[f10824]) ).
cnf(s155,plain,
( ~ spl402_21
| ~ spl402_48
| ~ spl402_56
| ~ spl402_133
| spl402_158 ),
inference(sat_conversion,[],[f11232]) ).
cnf(s194,plain,
( spl402_46
| ~ spl402_158 ),
inference(sat_conversion,[],[f12068]) ).
cnf(s200,plain,
~ spl402_158,
inference(rat,[],[s194,s50]) ).
cnf(s203,plain,
spl402_21,
inference(rat,[],[s21,s24]) ).
cnf(s221,plain,
spl402_126,
inference(rat,[],[s121,s8]) ).
cnf(s236,plain,
spl402_56,
inference(rat,[],[s58,s8]) ).
cnf(s238,plain,
spl402_48,
inference(rat,[],[s51,s8]) ).
cnf(s267,plain,
spl402_133,
inference(rat,[],[s128,s8,s221]) ).
cnf(s271,plain,
$false,
inference(rat,[],[s155,s200,s267,s203,s236,s238]) ).
fof(f12069,plain,
$false,
inference(avatar_sat_refutation,[],[s271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT306+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n011.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 14:26:16 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.43 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
% 12.49/2.76 % (2475728)Detected formulas, will run a generic FOF schedule.
% 12.49/2.76 % (2475738)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2741880090:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.49/2.76 % (2475736)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=244803743:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.49/2.76 % (2475734)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=347557949:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.49/2.76 % (2475733)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=1399729838:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.49/2.76 % (2475737)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4172703293:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.49/2.76 % (2475735)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=4216016940:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.49/2.76 % (2475739)dis-21_1_sil=8000:lcm=predicate:random_seed=439880764: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)
% 12.49/2.76 % (2475736)Refutation not found, incomplete strategy
% 12.49/2.76 % (2475736)------------------------------
% 12.49/2.76 % (2475736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.49/2.76 % (2475736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.49/2.76 % (2475736)CaDiCaL version: 2.1.3
% 12.49/2.76 % (2475736)Termination reason: Refutation not found, incomplete strategy
% 12.49/2.76 % (2475736)Time elapsed: 0.012 s
% 12.49/2.76 % (2475736)Peak memory usage: 91 MB
% 12.49/2.76 % (2475736)Instructions burned: 14 (million)
% 12.49/2.76 % (2475738)Instruction limit reached!
% 12.49/2.76 % (2475738)------------------------------
% 12.49/2.76 % (2475738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.49/2.76 % (2475738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.49/2.76 % (2475738)CaDiCaL version: 2.1.3
% 12.49/2.76 % (2475738)Termination reason: Instruction limit
% 12.49/2.76 % (2475738)Termination phase: Property scanning
% 12.49/2.76 % (2475738)Time elapsed: 0.050 s
% 12.49/2.76 % (2475738)Peak memory usage: 94 MB
% 12.49/2.76 % (2475738)Instructions burned: 142 (million)
% 12.49/2.76 % (2475739)Instruction limit reached!
% 12.49/2.76 % (2475739)------------------------------
% 12.49/2.76 % (2475739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.49/2.76 % (2475739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.49/2.76 % (2475739)CaDiCaL version: 2.1.3
% 12.49/2.76 % (2475739)Termination reason: Instruction limit
% 12.49/2.76 % (2475739)Termination phase: Function definition elimination
% 12.49/2.76 % (2475739)Time elapsed: 0.080 s
% 12.49/2.76 % (2475739)Peak memory usage: 92 MB
% 12.49/2.76 % (2475739)Instructions burned: 129 (million)
% 12.49/2.76 % (2475737)Instruction limit reached!
% 12.49/2.76 % (2475737)------------------------------
% 12.49/2.76 % (2475737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.49/2.76 % (2475737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.49/2.76 % (2475737)CaDiCaL version: 2.1.3
% 12.49/2.76 % (2475737)Termination reason: Instruction limit
% 12.49/2.76 % (2475737)Termination phase: Saturation
% 12.49/2.76 % (2475737)Time elapsed: 0.080 s
% 12.49/2.76 % (2475737)Peak memory usage: 92 MB
% 12.49/2.76 % (2475737)Instructions burned: 119 (million)
% 12.49/2.76 % (2475747)lrs+10_1_sil=8000:sp=occurrence:random_seed=2215874501:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.49/2.76 % (2475747)Instruction limit reached!
% 12.49/2.76 % (2475747)------------------------------
% 12.49/2.76 % (2475747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.49/2.76 % (2475747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.49/2.76 % (2475747)CaDiCaL version: 2.1.3
% 12.49/2.76 % (2475747)Termination reason: Instruction limit
% 12.49/2.76 % (2475747)Termination phase: Saturation
% 12.49/2.76 % (2475747)Time elapsed: 0.093 s
% 12.49/2.76 % (2475747)Peak memory usage: 95 MB
% 12.49/2.76 % (2475747)Instructions burned: 288 (million)
% 15.07/3.07 % (2475749)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1495537944:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 15.07/3.07 % (2475748)lrs+10_1_sil=32000:urr=on:br=off:random_seed=226048526:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 15.07/3.07 % (2475736)------------------------------
% 15.07/3.07 % (2475736)------------------------------
% 15.07/3.07 % (2475749)Refutation not found, incomplete strategy
% 15.07/3.07 % (2475749)------------------------------
% 15.07/3.07 % (2475749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475749)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475749)Termination reason: Refutation not found, incomplete strategy
% 15.07/3.07 % (2475749)Time elapsed: 0.014 s
% 15.07/3.07 % (2475749)Peak memory usage: 91 MB
% 15.07/3.07 % (2475749)Instructions burned: 16 (million)
% 15.07/3.07 % (2475748)Refutation not found, incomplete strategy
% 15.07/3.07 % (2475748)------------------------------
% 15.07/3.07 % (2475748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475748)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475748)Termination reason: Refutation not found, incomplete strategy
% 15.07/3.07 % (2475748)Time elapsed: 0.024 s
% 15.07/3.07 % (2475748)Peak memory usage: 91 MB
% 15.07/3.07 % (2475748)Instructions burned: 41 (million)
% 15.07/3.07 % (2475751)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=4218921859:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 15.07/3.07 % (2475754)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2671062420:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 15.07/3.07 % (2475751)Instruction limit reached!
% 15.07/3.07 % (2475751)------------------------------
% 15.07/3.07 % (2475751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475751)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475751)Termination reason: Instruction limit
% 15.07/3.07 % (2475751)Termination phase: Saturation
% 15.07/3.07 % (2475751)Time elapsed: 0.079 s
% 15.07/3.07 % (2475751)Peak memory usage: 98 MB
% 15.07/3.07 % (2475751)Instructions burned: 249 (million)
% 15.07/3.07 % (2475749)------------------------------
% 15.07/3.07 % (2475749)------------------------------
% 15.07/3.07 % (2475748)------------------------------
% 15.07/3.07 % (2475748)------------------------------
% 15.07/3.07 % (2475757)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=449395838:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 15.07/3.07 % (2475754)Instruction limit reached!
% 15.07/3.07 % (2475754)------------------------------
% 15.07/3.07 % (2475754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475754)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475754)Termination reason: Instruction limit
% 15.07/3.07 % (2475754)Termination phase: Saturation
% 15.07/3.07 % (2475754)Time elapsed: 0.173 s
% 15.07/3.07 % (2475754)Peak memory usage: 94 MB
% 15.07/3.07 % (2475754)Instructions burned: 294 (million)
% 15.07/3.07 % (2475759)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2105222315:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 15.07/3.07 % (2475758)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3275003957:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 15.07/3.07 % (2475758)Instruction limit reached!
% 15.07/3.07 % (2475758)------------------------------
% 15.07/3.07 % (2475758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475758)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475758)Termination reason: Instruction limit
% 15.07/3.07 % (2475758)Termination phase: Saturation
% 15.07/3.07 % (2475758)Time elapsed: 0.067 s
% 15.07/3.07 % (2475758)Peak memory usage: 93 MB
% 15.07/3.07 % (2475758)Instructions burned: 114 (million)
% 15.07/3.07 % (2475759)Instruction limit reached!
% 15.07/3.07 % (2475759)------------------------------
% 15.07/3.07 % (2475759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475759)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475759)Termination reason: Instruction limit
% 15.07/3.07 % (2475759)Termination phase: Property scanning
% 15.07/3.07 % (2475759)Time elapsed: 0.076 s
% 15.07/3.07 % (2475759)Peak memory usage: 94 MB
% 15.07/3.07 % (2475759)Instructions burned: 127 (million)
% 15.07/3.07 % (2475761)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3254725971:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 15.07/3.07 % (2475761)Instruction limit reached!
% 15.07/3.07 % (2475761)------------------------------
% 15.07/3.07 % (2475761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475761)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475761)Termination reason: Instruction limit
% 15.07/3.07 % (2475761)Termination phase: Property scanning
% 15.07/3.07 % (2475761)Time elapsed: 0.061 s
% 15.07/3.07 % (2475761)Peak memory usage: 91 MB
% 15.07/3.07 % (2475761)Instructions burned: 116 (million)
% 15.07/3.07 % (2475765)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1562202697:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 15.07/3.07 % (2475764)lrs+10_1_sil=8000:sp=occurrence:random_seed=799419527:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 15.07/3.07 % (2475765)Refutation not found, incomplete strategy
% 15.07/3.07 % (2475765)------------------------------
% 15.07/3.07 % (2475765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475765)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475765)Termination reason: Refutation not found, incomplete strategy
% 15.07/3.07 % (2475765)Time elapsed: 0.045 s
% 15.07/3.07 % (2475765)Peak memory usage: 93 MB
% 15.07/3.07 % (2475765)Instructions burned: 75 (million)
% 15.07/3.07 % (2475767)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=676239611:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 15.07/3.07 % (2475765)------------------------------
% 15.07/3.07 % (2475765)------------------------------
% 15.07/3.07 % (2475771)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3403697275:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 15.07/3.07 % (2475757)Instruction limit reached!
% 15.07/3.07 % (2475757)------------------------------
% 15.07/3.07 % (2475757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475757)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475757)Termination reason: Instruction limit
% 15.07/3.07 % (2475757)Termination phase: Saturation
% 15.07/3.07 % (2475757)Time elapsed: 0.835 s
% 15.07/3.07 % (2475757)Peak memory usage: 226 MB
% 15.07/3.07 % (2475757)Instructions burned: 2350 (million)
% 15.07/3.07 % (2475771)Instruction limit reached!
% 15.07/3.07 % (2475771)------------------------------
% 15.07/3.07 % (2475771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475771)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475771)Termination reason: Instruction limit
% 15.07/3.07 % (2475771)Termination phase: Saturation
% 15.07/3.07 % (2475771)Time elapsed: 0.082 s
% 15.07/3.07 % (2475771)Peak memory usage: 94 MB
% 15.07/3.07 % (2475771)Instructions burned: 134 (million)
% 15.07/3.07 % (2475764)Instruction limit reached!
% 15.07/3.07 % (2475764)------------------------------
% 15.07/3.07 % (2475764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475764)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475764)Termination reason: Instruction limit
% 15.07/3.07 % (2475764)Termination phase: Saturation
% 15.07/3.07 % (2475764)Time elapsed: 0.593 s
% 15.07/3.07 % (2475764)Peak memory usage: 103 MB
% 15.07/3.07 % (2475764)Instructions burned: 909 (million)
% 15.07/3.07 % (2475773)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2076242881:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 15.07/3.07 % (2475734)First to succeed.
% 15.07/3.07 % (2475734)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2475728"
% 15.07/3.07 % (2475774)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=998518451:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 15.07/3.07 % (2475775)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=21874569:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 15.07/3.07 % (2475773)Instruction limit reached!
% 15.07/3.07 % (2475773)------------------------------
% 15.07/3.07 % (2475773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475773)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475773)Termination reason: Instruction limit
% 15.07/3.07 % (2475773)Termination phase: Saturation
% 15.07/3.07 % (2475773)Time elapsed: 0.168 s
% 15.07/3.07 % (2475773)Peak memory usage: 102 MB
% 15.07/3.07 % (2475773)Instructions burned: 594 (million)
% 15.07/3.07 % (2475775)Instruction limit reached!
% 15.07/3.07 % (2475775)------------------------------
% 15.07/3.07 % (2475775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475775)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475775)Termination reason: Instruction limit
% 15.07/3.07 % (2475775)Termination phase: Saturation
% 15.07/3.07 % (2475775)Time elapsed: 0.071 s
% 15.07/3.07 % (2475775)Peak memory usage: 93 MB
% 15.07/3.07 % (2475775)Instructions burned: 125 (million)
% 15.07/3.07 % (2475779)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1855083201:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 15.07/3.07 % (2475779)Instruction limit reached!
% 15.07/3.07 % (2475779)------------------------------
% 15.07/3.07 % (2475779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.07/3.07 % (2475779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/3.07 % (2475779)CaDiCaL version: 2.1.3
% 15.07/3.07 % (2475779)Termination reason: Instruction limit
% 15.07/3.07 % (2475779)Termination phase: Preprocessing 3
% 15.07/3.07 % (2475779)Time elapsed: 0.043 s
% 15.07/3.07 % (2475779)Peak memory usage: 92 MB
% 15.07/3.07 % (2475779)Instructions burned: 137 (million)
% 15.07/3.07 % (2475734)Refutation found. Thanks to Tanya!
% 15.07/3.07 % SZS status Theorem for theBenchmark
% 15.07/3.07 % SZS output start Proof for theBenchmark
% See solution above
% 15.39/3.17 % (2475734)------------------------------
% 15.39/3.17 % (2475734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/3.17 % (2475734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/3.17 % (2475734)CaDiCaL version: 2.1.3
% 15.39/3.17 % (2475734)Termination reason: Refutation
% 15.39/3.17 % (2475734)Time elapsed: 1.623 s
% 15.39/3.17 % (2475734)Peak memory usage: 169 MB
% 15.39/3.17 % (2475734)Instructions burned: 2576 (million)
% 15.39/3.17 % (2475734)------------------------------
% 15.39/3.17 % (2475734)------------------------------
% 15.39/3.17 % (2475728)Success in time 2.203 s
% 15.39/3.17 % Vampire exiting
%------------------------------------------------------------------------------