%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT307+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 11:46:45 AM UTC 2026
% Result : Theorem 19.25s 3.87s
% Output : Refutation 19.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 27
% Syntax : Number of formulae : 234 ( 29 unt; 9 def)
% Number of atoms : 919 ( 92 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1123 ( 438 ~; 520 |; 111 &)
% ( 21 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 10 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-2 aty)
% Number of variables : 204 ( 0 sgn 198 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2456,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f2464,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ~ ( X1 != u1_struct_0(X0)
& ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( r1_tarski(X1,X2)
& v1_filter_0(X2,X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_filter_0) ).
fof(f2540,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f2564,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f2569,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f2597,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f2645,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_lattice2) ).
fof(f2669,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(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/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f2872,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f2873,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f2902,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f2903,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f2941,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f2942,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f2953,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f2960,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_filter_2) ).
fof(f2961,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ~ ( X1 != u1_struct_0(X0)
& ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r1_tarski(X1,X2)
& r2_filter_2(X0,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_filter_2) ).
fof(f2962,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ~ ( X1 != u1_struct_0(X0)
& ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r1_tarski(X1,X2)
& r2_filter_2(X0,X2) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2961]) ).
fof(f2986,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2872]) ).
fof(f2987,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f2986]) ).
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,[],[f2873]) ).
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(f3046,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f2902]) ).
fof(f3047,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f3046]) ).
fof(f3048,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f2903]) ).
fof(f3049,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f3048]) ).
fof(f3121,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2941]) ).
fof(f3122,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3121]) ).
fof(f3123,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2942]) ).
fof(f3124,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,[],[f3123]) ).
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,[],[f2953]) ).
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(f3159,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2960]) ).
fof(f3160,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3159]) ).
fof(f3161,plain,
? [X0] :
( ? [X1] :
( X1 != u1_struct_0(X0)
& ! [X2] :
( ~ r1_tarski(X1,X2)
| ~ r2_filter_2(X0,X2)
| ~ m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& v14_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2962]) ).
fof(f3162,plain,
? [X0] :
( ? [X1] :
( X1 != u1_struct_0(X0)
& ! [X2] :
( ~ r1_tarski(X1,X2)
| ~ r2_filter_2(X0,X2)
| ~ m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& v14_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f3161]) ).
fof(f3172,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(f3173,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,[],[f3172]) ).
fof(f3184,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2540]) ).
fof(f3185,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3184]) ).
fof(f3219,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(f3220,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3219]) ).
fof(f3289,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f3292,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(f3293,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,[],[f3292]) ).
fof(f3294,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(f3295,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3294]) ).
fof(f3461,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(f3462,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,[],[f3461]) ).
fof(f3525,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(f3526,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3525]) ).
fof(f3653,plain,
! [X0] :
( ! [X1] :
( u1_struct_0(X0) = X1
| ? [X2] :
( r1_tarski(X1,X2)
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2464]) ).
fof(f3654,plain,
! [X0] :
( ! [X1] :
( u1_struct_0(X0) = X1
| ? [X2] :
( r1_tarski(X1,X2)
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3653]) ).
fof(f4804,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f2987]) ).
fof(f4824,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3122]) ).
fof(f4838,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3160]) ).
fof(f4839,plain,
( sK20 != u1_struct_0(sK19)
& ! [X2] :
( ~ r1_tarski(sK20,X2)
| ~ r2_filter_2(sK19,X2)
| ~ m2_filter_2(X2,sK19) )
& m2_filter_2(sK20,sK19)
& v14_lattices(sK19)
& ~ v3_struct_0(sK19)
& v10_lattices(sK19)
& l3_lattices(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X0,sK19),skolemize(X1,sK20)],[f3162]) ).
fof(f5018,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,[],[f3526]) ).
fof(f5062,plain,
! [X0] :
( ! [X1] :
( u1_struct_0(X0) = X1
| ( r1_tarski(X1,sK155(X0,X1))
& v1_filter_0(sK155(X0,X1),X0)
& m1_filter_0(sK155(X0,X1),X0) )
| ~ m1_filter_0(X1,X0) )
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK155]),skolemize(X2,sK155(X0,X1))],[f3654]) ).
fof(f5469,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4804]) ).
fof(f5470,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| m1_filter_2(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4804]) ).
fof(f5471,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| m2_lattice4(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f2989]) ).
fof(f5504,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f3047]) ).
fof(f5505,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f3049]) ).
fof(f5583,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_filter_2(X1,k1_lattice2(X0))
| v3_struct_0(X0)
| m2_filter_2(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4824]) ).
fof(f5584,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,[],[f3124]) ).
fof(f5609,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(f5626,plain,
! [X0,X1] :
( ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4838]) ).
fof(f5627,plain,
l3_lattices(sK19),
inference(cnf_transformation,[],[f4839]) ).
fof(f5628,plain,
v10_lattices(sK19),
inference(cnf_transformation,[],[f4839]) ).
fof(f5629,plain,
~ v3_struct_0(sK19),
inference(cnf_transformation,[],[f4839]) ).
fof(f5630,plain,
v14_lattices(sK19),
inference(cnf_transformation,[],[f4839]) ).
fof(f5631,plain,
m2_filter_2(sK20,sK19),
inference(cnf_transformation,[],[f4839]) ).
fof(f5632,plain,
! [X2] :
( ~ r2_filter_2(sK19,X2)
| ~ r1_tarski(sK20,X2)
| ~ m2_filter_2(X2,sK19) ),
inference(cnf_transformation,[],[f4839]) ).
fof(f5633,plain,
sK20 != u1_struct_0(sK19),
inference(cnf_transformation,[],[f4839]) ).
fof(f5654,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3173]) ).
fof(f5667,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3185]) ).
fof(f5711,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3220]) ).
fof(f5788,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3289]) ).
fof(f5791,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3293]) ).
fof(f5801,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3295]) ).
fof(f6052,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3462]) ).
fof(f6133,plain,
! [X0] :
( ~ v14_lattices(X0)
| v13_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5018]) ).
fof(f6326,plain,
! [X0,X1] :
( ~ v13_lattices(X0)
| m1_filter_0(sK155(X0,X1),X0)
| ~ m1_filter_0(X1,X0)
| u1_struct_0(X0) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5062]) ).
fof(f6327,plain,
! [X0,X1] :
( ~ v13_lattices(X0)
| v1_filter_0(sK155(X0,X1),X0)
| ~ m1_filter_0(X1,X0)
| u1_struct_0(X0) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5062]) ).
fof(f6328,plain,
! [X0,X1] :
( ~ v13_lattices(X0)
| r1_tarski(X1,sK155(X0,X1))
| ~ m1_filter_0(X1,X0)
| u1_struct_0(X0) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5062]) ).
fof(f9102,plain,
( v3_struct_0(sK19)
| u1_struct_0(sK19) = u1_struct_0(k1_lattice2(sK19)) ),
inference(resolution,[],[f6052,f5627]) ).
fof(f9103,plain,
u1_struct_0(sK19) = u1_struct_0(k1_lattice2(sK19)),
inference(forward_subsumption_resolution,[],[f9102,f5629]) ).
fof(f9112,definition,
( spl403_7
<=> v3_struct_0(k1_lattice2(sK19)) ),
introduced(definition,[new_symbols(definition,[spl403_7])],[avatar_definition]) ).
fof(f9113,plain,
( v3_struct_0(k1_lattice2(sK19))
| ~ spl403_7 ),
inference(avatar_component_clause,[],[f9112]) ).
fof(f9118,plain,
( v3_struct_0(sK19)
| u1_struct_0(sK19) = k17_filter_2(sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5609,f5628]) ).
fof(f9119,plain,
( u1_struct_0(sK19) = k17_filter_2(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9118,f5629]) ).
fof(f9120,plain,
u1_struct_0(sK19) = k17_filter_2(sK19),
inference(forward_subsumption_resolution,[],[f9119,f5627]) ).
fof(f9123,plain,
( v3_struct_0(sK19)
| u1_struct_0(sK19) = k1_filter_0(sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5711,f5628]) ).
fof(f9124,plain,
( u1_struct_0(sK19) = k1_filter_0(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9123,f5629]) ).
fof(f9125,plain,
u1_struct_0(sK19) = k1_filter_0(sK19),
inference(forward_subsumption_resolution,[],[f9124,f5627]) ).
fof(f9127,plain,
sK20 != k1_filter_0(sK19),
inference(superposition,[],[f5633,f9125]) ).
fof(f9128,plain,
k17_filter_2(sK19) = k1_filter_0(sK19),
inference(superposition,[],[f9120,f9125]) ).
fof(f9133,plain,
! [X0] :
( v3_struct_0(sK19)
| k7_filter_2(sK19,X0) = k15_filter_2(sK19,X0)
| ~ l3_lattices(sK19)
| ~ m2_filter_2(X0,sK19) ),
inference(resolution,[],[f5505,f5628]) ).
fof(f9134,plain,
! [X0] :
( k7_filter_2(sK19,X0) = k15_filter_2(sK19,X0)
| ~ l3_lattices(sK19)
| ~ m2_filter_2(X0,sK19) ),
inference(forward_subsumption_resolution,[],[f9133,f5629]) ).
fof(f9135,plain,
! [X0] :
( ~ m2_filter_2(X0,sK19)
| k7_filter_2(sK19,X0) = k15_filter_2(sK19,X0) ),
inference(forward_subsumption_resolution,[],[f9134,f5627]) ).
fof(f9136,plain,
k7_filter_2(sK19,sK20) = k15_filter_2(sK19,sK20),
inference(resolution,[],[f9135,f5631]) ).
fof(f9156,plain,
! [X0] :
( ~ m2_filter_2(X0,sK19)
| v3_struct_0(sK19)
| m2_lattice4(X0,sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5471,f5628]) ).
fof(f9157,plain,
! [X0] :
( ~ m2_filter_2(X0,sK19)
| m2_lattice4(X0,sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9156,f5629]) ).
fof(f9158,plain,
! [X0] :
( ~ m2_filter_2(X0,sK19)
| m2_lattice4(X0,sK19) ),
inference(forward_subsumption_resolution,[],[f9157,f5627]) ).
fof(f9159,plain,
m2_lattice4(sK20,sK19),
inference(resolution,[],[f9158,f5631]) ).
fof(f9172,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK19)))
| v3_struct_0(sK19)
| k7_filter_2(sK19,X0) = X0
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5584,f5628]) ).
fof(f9173,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK19)))
| k7_filter_2(sK19,X0) = X0
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9172,f5629]) ).
fof(f9174,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK19)))
| k7_filter_2(sK19,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f9173,f5627]) ).
fof(f9175,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK19)))
| k7_filter_2(sK19,X0) = X0 ),
inference(forward_demodulation,[],[f9174,f9120]) ).
fof(f9176,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK19)))
| k7_filter_2(sK19,X0) = X0 ),
inference(forward_demodulation,[],[f9175,f9128]) ).
fof(f9182,plain,
l3_lattices(k1_lattice2(sK19)),
inference(resolution,[],[f5788,f5627]) ).
fof(f9204,plain,
( v3_struct_0(sK19)
| ~ l3_lattices(sK19)
| ~ spl403_7 ),
inference(resolution,[],[f5801,f9113]) ).
fof(f9206,plain,
( ~ l3_lattices(sK19)
| ~ spl403_7 ),
inference(forward_subsumption_resolution,[],[f9204,f5629]) ).
fof(f9207,plain,
( $false
| ~ spl403_7 ),
inference(forward_subsumption_resolution,[],[f9206,f5627]) ).
fof(f9208,plain,
~ spl403_7,
inference(avatar_contradiction_clause,[],[f9207]) ).
fof(f9209,plain,
! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK19))
| v3_struct_0(sK19)
| m2_filter_2(X0,sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5583,f5628]) ).
fof(f9210,plain,
! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK19))
| m2_filter_2(X0,sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9209,f5629]) ).
fof(f9211,plain,
! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK19))
| m2_filter_2(X0,sK19) ),
inference(forward_subsumption_resolution,[],[f9210,f5627]) ).
fof(f9214,plain,
( v3_struct_0(sK19)
| v10_lattices(k1_lattice2(sK19))
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5791,f5628]) ).
fof(f9216,plain,
( v10_lattices(k1_lattice2(sK19))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9214,f5629]) ).
fof(f9222,plain,
v10_lattices(k1_lattice2(sK19)),
inference(forward_subsumption_resolution,[],[f9216,f5627]) ).
fof(f9228,plain,
! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19))
| m1_filter_2(X0,k1_lattice2(sK19))
| ~ l3_lattices(k1_lattice2(sK19)) ),
inference(resolution,[],[f9222,f5470]) ).
fof(f9249,plain,
! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19))
| m1_filter_2(X0,k1_lattice2(sK19)) ),
inference(forward_subsumption_resolution,[],[f9228,f9182]) ).
fof(f9279,definition,
( spl403_19
<=> ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK19))
| m1_filter_2(X0,k1_lattice2(sK19)) ) ),
introduced(definition,[new_symbols(definition,[spl403_19])],[avatar_definition]) ).
fof(f9280,plain,
( ! [X0] :
( m1_filter_2(X0,k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19)) )
| ~ spl403_19 ),
inference(avatar_component_clause,[],[f9279]) ).
fof(f9281,plain,
( spl403_7
| spl403_19 ),
inference(avatar_split_clause,[],[f9249,f9279,f9112]) ).
fof(f9343,plain,
! [X0] :
( v3_struct_0(sK19)
| m1_filter_2(k15_filter_2(sK19,X0),k1_lattice2(sK19))
| ~ l3_lattices(sK19)
| ~ m2_filter_2(X0,sK19) ),
inference(resolution,[],[f5504,f5628]) ).
fof(f9346,plain,
! [X0] :
( m1_filter_2(k15_filter_2(sK19,X0),k1_lattice2(sK19))
| ~ l3_lattices(sK19)
| ~ m2_filter_2(X0,sK19) ),
inference(forward_subsumption_resolution,[],[f9343,f5629]) ).
fof(f9351,plain,
! [X0] :
( m1_filter_2(k15_filter_2(sK19,X0),k1_lattice2(sK19))
| ~ m2_filter_2(X0,sK19) ),
inference(forward_subsumption_resolution,[],[f9346,f5627]) ).
fof(f9353,plain,
! [X0] :
( ~ m2_filter_2(X0,sK19)
| m1_filter_0(k15_filter_2(sK19,X0),k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19))
| ~ v10_lattices(k1_lattice2(sK19))
| ~ l3_lattices(k1_lattice2(sK19)) ),
inference(resolution,[],[f9351,f5469]) ).
fof(f9356,plain,
! [X0] :
( ~ m2_filter_2(X0,sK19)
| m1_filter_0(k15_filter_2(sK19,X0),k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19))
| ~ l3_lattices(k1_lattice2(sK19)) ),
inference(forward_subsumption_resolution,[],[f9353,f9222]) ).
fof(f9357,plain,
! [X0] :
( ~ m2_filter_2(X0,sK19)
| m1_filter_0(k15_filter_2(sK19,X0),k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_subsumption_resolution,[],[f9356,f9182]) ).
fof(f9359,definition,
( spl403_29
<=> ! [X0] :
( ~ m2_filter_2(X0,sK19)
| m1_filter_0(k15_filter_2(sK19,X0),k1_lattice2(sK19)) ) ),
introduced(definition,[new_symbols(definition,[spl403_29])],[avatar_definition]) ).
fof(f9360,plain,
( ! [X0] :
( m1_filter_0(k15_filter_2(sK19,X0),k1_lattice2(sK19))
| ~ m2_filter_2(X0,sK19) )
| ~ spl403_29 ),
inference(avatar_component_clause,[],[f9359]) ).
fof(f9361,plain,
( spl403_7
| spl403_29 ),
inference(avatar_split_clause,[],[f9357,f9359,f9112]) ).
fof(f9362,plain,
( m1_filter_0(k7_filter_2(sK19,sK20),k1_lattice2(sK19))
| ~ m2_filter_2(sK20,sK19)
| ~ spl403_29 ),
inference(superposition,[],[f9360,f9136]) ).
fof(f9363,plain,
( m1_filter_0(k7_filter_2(sK19,sK20),k1_lattice2(sK19))
| ~ spl403_29 ),
inference(forward_subsumption_resolution,[],[f9362,f5631]) ).
fof(f9381,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK19))
| m2_filter_2(X0,sK19) )
| ~ spl403_19 ),
inference(resolution,[],[f9280,f9211]) ).
fof(f9387,plain,
! [X0] :
( ~ m2_lattice4(X0,sK19)
| v3_struct_0(sK19)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f5654,f5628]) ).
fof(f9390,plain,
! [X0] :
( ~ m2_lattice4(X0,sK19)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9387,f5629]) ).
fof(f9392,plain,
! [X0] :
( ~ m2_lattice4(X0,sK19)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK19))) ),
inference(forward_subsumption_resolution,[],[f9390,f5627]) ).
fof(f9394,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK19)))
| ~ m2_lattice4(X0,sK19) ),
inference(forward_demodulation,[],[f9392,f9120]) ).
fof(f9396,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK19)))
| ~ m2_lattice4(X0,sK19) ),
inference(forward_demodulation,[],[f9394,f9128]) ).
fof(f9401,plain,
! [X0] :
( ~ m2_lattice4(X0,sK19)
| k7_filter_2(sK19,X0) = X0 ),
inference(resolution,[],[f9396,f9176]) ).
fof(f9402,plain,
sK20 = k7_filter_2(sK19,sK20),
inference(resolution,[],[f9401,f9159]) ).
fof(f9405,plain,
( m1_filter_0(sK20,k1_lattice2(sK19))
| ~ spl403_29 ),
inference(superposition,[],[f9363,f9402]) ).
fof(f9506,plain,
! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19))
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK19))))
| ~ l3_lattices(k1_lattice2(sK19)) ),
inference(resolution,[],[f5667,f9222]) ).
fof(f9507,plain,
! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19))
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK19)))) ),
inference(forward_subsumption_resolution,[],[f9506,f9182]) ).
fof(f9509,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9507,f9103]) ).
fof(f9511,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK19)))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9509,f9120]) ).
fof(f9513,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK19)))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9511,f9128]) ).
fof(f9516,definition,
( spl403_41
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK19)))
| ~ m1_filter_0(X0,k1_lattice2(sK19)) ) ),
introduced(definition,[new_symbols(definition,[spl403_41])],[avatar_definition]) ).
fof(f9517,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK19)))
| ~ m1_filter_0(X0,k1_lattice2(sK19)) )
| ~ spl403_41 ),
inference(avatar_component_clause,[],[f9516]) ).
fof(f9518,plain,
( spl403_7
| spl403_41 ),
inference(avatar_split_clause,[],[f9513,f9516,f9112]) ).
fof(f9520,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK19))
| k7_filter_2(sK19,X0) = X0 )
| ~ spl403_41 ),
inference(resolution,[],[f9517,f9176]) ).
fof(f9897,plain,
( v13_lattices(k1_lattice2(sK19))
| v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19) ),
inference(resolution,[],[f6133,f5630]) ).
fof(f9898,plain,
( v13_lattices(k1_lattice2(sK19))
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9897,f5629]) ).
fof(f9899,plain,
( v13_lattices(k1_lattice2(sK19))
| ~ l3_lattices(sK19) ),
inference(forward_subsumption_resolution,[],[f9898,f5628]) ).
fof(f9900,plain,
v13_lattices(k1_lattice2(sK19)),
inference(forward_subsumption_resolution,[],[f9899,f5627]) ).
fof(f9901,plain,
! [X0] :
( v1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| u1_struct_0(k1_lattice2(sK19)) = X0
| v3_struct_0(k1_lattice2(sK19))
| ~ v10_lattices(k1_lattice2(sK19))
| ~ l3_lattices(k1_lattice2(sK19)) ),
inference(resolution,[],[f9900,f6327]) ).
fof(f9902,plain,
! [X0] :
( m1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| u1_struct_0(k1_lattice2(sK19)) = X0
| v3_struct_0(k1_lattice2(sK19))
| ~ v10_lattices(k1_lattice2(sK19))
| ~ l3_lattices(k1_lattice2(sK19)) ),
inference(resolution,[],[f9900,f6326]) ).
fof(f9904,plain,
! [X0] :
( r1_tarski(X0,sK155(k1_lattice2(sK19),X0))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| u1_struct_0(k1_lattice2(sK19)) = X0
| v3_struct_0(k1_lattice2(sK19))
| ~ v10_lattices(k1_lattice2(sK19))
| ~ l3_lattices(k1_lattice2(sK19)) ),
inference(resolution,[],[f9900,f6328]) ).
fof(f9905,plain,
! [X0] :
( r1_tarski(X0,sK155(k1_lattice2(sK19),X0))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| u1_struct_0(k1_lattice2(sK19)) = X0
| v3_struct_0(k1_lattice2(sK19))
| ~ l3_lattices(k1_lattice2(sK19)) ),
inference(forward_subsumption_resolution,[],[f9904,f9222]) ).
fof(f9907,plain,
! [X0] :
( m1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| u1_struct_0(k1_lattice2(sK19)) = X0
| v3_struct_0(k1_lattice2(sK19))
| ~ l3_lattices(k1_lattice2(sK19)) ),
inference(forward_subsumption_resolution,[],[f9902,f9222]) ).
fof(f9908,plain,
! [X0] :
( v1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| u1_struct_0(k1_lattice2(sK19)) = X0
| v3_struct_0(k1_lattice2(sK19))
| ~ l3_lattices(k1_lattice2(sK19)) ),
inference(forward_subsumption_resolution,[],[f9901,f9222]) ).
fof(f9909,plain,
! [X0] :
( r1_tarski(X0,sK155(k1_lattice2(sK19),X0))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| u1_struct_0(k1_lattice2(sK19)) = X0
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_subsumption_resolution,[],[f9905,f9182]) ).
fof(f9911,plain,
! [X0] :
( m1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| u1_struct_0(k1_lattice2(sK19)) = X0
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_subsumption_resolution,[],[f9907,f9182]) ).
fof(f9912,plain,
! [X0] :
( v1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| u1_struct_0(k1_lattice2(sK19)) = X0
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_subsumption_resolution,[],[f9908,f9182]) ).
fof(f9913,plain,
! [X0] :
( u1_struct_0(sK19) = X0
| r1_tarski(X0,sK155(k1_lattice2(sK19),X0))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9909,f9103]) ).
fof(f9915,plain,
! [X0] :
( u1_struct_0(sK19) = X0
| m1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9911,f9103]) ).
fof(f9916,plain,
! [X0] :
( u1_struct_0(sK19) = X0
| v1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9912,f9103]) ).
fof(f9917,plain,
! [X0] :
( k17_filter_2(sK19) = X0
| r1_tarski(X0,sK155(k1_lattice2(sK19),X0))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9913,f9120]) ).
fof(f9919,plain,
! [X0] :
( k17_filter_2(sK19) = X0
| m1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9915,f9120]) ).
fof(f9920,plain,
! [X0] :
( k17_filter_2(sK19) = X0
| v1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9916,f9120]) ).
fof(f9921,plain,
! [X0] :
( k1_filter_0(sK19) = X0
| r1_tarski(X0,sK155(k1_lattice2(sK19),X0))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9917,f9128]) ).
fof(f9923,plain,
! [X0] :
( k1_filter_0(sK19) = X0
| m1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9919,f9128]) ).
fof(f9924,plain,
! [X0] :
( k1_filter_0(sK19) = X0
| v1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v3_struct_0(k1_lattice2(sK19)) ),
inference(forward_demodulation,[],[f9920,f9128]) ).
fof(f9926,definition,
( spl403_66
<=> ! [X0] :
( k1_filter_0(sK19) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| r1_tarski(X0,sK155(k1_lattice2(sK19),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl403_66])],[avatar_definition]) ).
fof(f9927,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK19))
| k1_filter_0(sK19) = X0
| r1_tarski(X0,sK155(k1_lattice2(sK19),X0)) )
| ~ spl403_66 ),
inference(avatar_component_clause,[],[f9926]) ).
fof(f9928,plain,
( spl403_7
| spl403_66 ),
inference(avatar_split_clause,[],[f9921,f9926,f9112]) ).
fof(f9934,definition,
( spl403_68
<=> ! [X0] :
( k1_filter_0(sK19) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| m1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19)) ) ),
introduced(definition,[new_symbols(definition,[spl403_68])],[avatar_definition]) ).
fof(f9935,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK19))
| k1_filter_0(sK19) = X0
| m1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19)) )
| ~ spl403_68 ),
inference(avatar_component_clause,[],[f9934]) ).
fof(f9936,plain,
( spl403_7
| spl403_68 ),
inference(avatar_split_clause,[],[f9923,f9934,f9112]) ).
fof(f9938,definition,
( spl403_69
<=> ! [X0] :
( k1_filter_0(sK19) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| v1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19)) ) ),
introduced(definition,[new_symbols(definition,[spl403_69])],[avatar_definition]) ).
fof(f9939,plain,
( ! [X0] :
( v1_filter_0(sK155(k1_lattice2(sK19),X0),k1_lattice2(sK19))
| ~ m1_filter_0(X0,k1_lattice2(sK19))
| k1_filter_0(sK19) = X0 )
| ~ spl403_69 ),
inference(avatar_component_clause,[],[f9938]) ).
fof(f9940,plain,
( spl403_7
| spl403_69 ),
inference(avatar_split_clause,[],[f9924,f9938,f9112]) ).
fof(f9945,plain,
( sK20 = k1_filter_0(sK19)
| r1_tarski(sK20,sK155(k1_lattice2(sK19),sK20))
| ~ spl403_29
| ~ spl403_66 ),
inference(resolution,[],[f9927,f9405]) ).
fof(f9946,plain,
( r1_tarski(sK20,sK155(k1_lattice2(sK19),sK20))
| ~ spl403_29
| ~ spl403_66 ),
inference(forward_subsumption_resolution,[],[f9945,f9127]) ).
fof(f9966,plain,
( sK20 = k1_filter_0(sK19)
| m1_filter_0(sK155(k1_lattice2(sK19),sK20),k1_lattice2(sK19))
| ~ spl403_29
| ~ spl403_68 ),
inference(resolution,[],[f9935,f9405]) ).
fof(f9967,plain,
( m1_filter_0(sK155(k1_lattice2(sK19),sK20),k1_lattice2(sK19))
| ~ spl403_29
| ~ spl403_68 ),
inference(forward_subsumption_resolution,[],[f9966,f9127]) ).
fof(f9971,plain,
( m2_filter_2(sK155(k1_lattice2(sK19),sK20),sK19)
| ~ spl403_19
| ~ spl403_29
| ~ spl403_68 ),
inference(resolution,[],[f9967,f9381]) ).
fof(f9972,plain,
( sK155(k1_lattice2(sK19),sK20) = k7_filter_2(sK19,sK155(k1_lattice2(sK19),sK20))
| ~ spl403_29
| ~ spl403_41
| ~ spl403_68 ),
inference(resolution,[],[f9967,f9520]) ).
fof(f10096,plain,
( k7_filter_2(sK19,sK155(k1_lattice2(sK19),sK20)) = k15_filter_2(sK19,sK155(k1_lattice2(sK19),sK20))
| ~ spl403_19
| ~ spl403_29
| ~ spl403_68 ),
inference(resolution,[],[f9971,f9135]) ).
fof(f10103,plain,
( sK155(k1_lattice2(sK19),sK20) = k15_filter_2(sK19,sK155(k1_lattice2(sK19),sK20))
| ~ spl403_19
| ~ spl403_29
| ~ spl403_41
| ~ spl403_68 ),
inference(forward_demodulation,[],[f10096,f9972]) ).
fof(f10106,plain,
( ~ v1_filter_0(sK155(k1_lattice2(sK19),sK20),k1_lattice2(sK19))
| r2_filter_2(sK19,sK155(k1_lattice2(sK19),sK20))
| ~ m2_filter_2(sK155(k1_lattice2(sK19),sK20),sK19)
| v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19)
| ~ spl403_19
| ~ spl403_29
| ~ spl403_41
| ~ spl403_68 ),
inference(superposition,[],[f5626,f10103]) ).
fof(f10107,plain,
( ~ v1_filter_0(sK155(k1_lattice2(sK19),sK20),k1_lattice2(sK19))
| r2_filter_2(sK19,sK155(k1_lattice2(sK19),sK20))
| v3_struct_0(sK19)
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19)
| ~ spl403_19
| ~ spl403_29
| ~ spl403_41
| ~ spl403_68 ),
inference(forward_subsumption_resolution,[],[f10106,f9971]) ).
fof(f10108,plain,
( ~ v1_filter_0(sK155(k1_lattice2(sK19),sK20),k1_lattice2(sK19))
| r2_filter_2(sK19,sK155(k1_lattice2(sK19),sK20))
| ~ v10_lattices(sK19)
| ~ l3_lattices(sK19)
| ~ spl403_19
| ~ spl403_29
| ~ spl403_41
| ~ spl403_68 ),
inference(forward_subsumption_resolution,[],[f10107,f5629]) ).
fof(f10109,plain,
( ~ v1_filter_0(sK155(k1_lattice2(sK19),sK20),k1_lattice2(sK19))
| r2_filter_2(sK19,sK155(k1_lattice2(sK19),sK20))
| ~ l3_lattices(sK19)
| ~ spl403_19
| ~ spl403_29
| ~ spl403_41
| ~ spl403_68 ),
inference(forward_subsumption_resolution,[],[f10108,f5628]) ).
fof(f10110,plain,
( ~ v1_filter_0(sK155(k1_lattice2(sK19),sK20),k1_lattice2(sK19))
| r2_filter_2(sK19,sK155(k1_lattice2(sK19),sK20))
| ~ spl403_19
| ~ spl403_29
| ~ spl403_41
| ~ spl403_68 ),
inference(forward_subsumption_resolution,[],[f10109,f5627]) ).
fof(f10112,definition,
( spl403_86
<=> r2_filter_2(sK19,sK155(k1_lattice2(sK19),sK20)) ),
introduced(definition,[new_symbols(definition,[spl403_86])],[avatar_definition]) ).
fof(f10113,plain,
( r2_filter_2(sK19,sK155(k1_lattice2(sK19),sK20))
| ~ spl403_86 ),
inference(avatar_component_clause,[],[f10112]) ).
fof(f10115,definition,
( spl403_87
<=> v1_filter_0(sK155(k1_lattice2(sK19),sK20),k1_lattice2(sK19)) ),
introduced(definition,[new_symbols(definition,[spl403_87])],[avatar_definition]) ).
fof(f10116,plain,
( ~ v1_filter_0(sK155(k1_lattice2(sK19),sK20),k1_lattice2(sK19))
| spl403_87 ),
inference(avatar_component_clause,[],[f10115]) ).
fof(f10117,plain,
( spl403_86
| ~ spl403_87
| ~ spl403_19
| ~ spl403_29
| ~ spl403_41
| ~ spl403_68 ),
inference(avatar_split_clause,[],[f10110,f9934,f9516,f9359,f9279,f10115,f10112]) ).
fof(f10119,plain,
( ~ m1_filter_0(sK20,k1_lattice2(sK19))
| sK20 = k1_filter_0(sK19)
| ~ spl403_69
| spl403_87 ),
inference(resolution,[],[f10116,f9939]) ).
fof(f10121,plain,
( sK20 = k1_filter_0(sK19)
| ~ spl403_29
| ~ spl403_69
| spl403_87 ),
inference(forward_subsumption_resolution,[],[f10119,f9405]) ).
fof(f10122,plain,
( $false
| ~ spl403_29
| ~ spl403_69
| spl403_87 ),
inference(forward_subsumption_resolution,[],[f10121,f9127]) ).
fof(f10123,plain,
( ~ spl403_29
| ~ spl403_69
| spl403_87 ),
inference(avatar_contradiction_clause,[],[f10122]) ).
fof(f10125,plain,
( ~ r1_tarski(sK20,sK155(k1_lattice2(sK19),sK20))
| ~ m2_filter_2(sK155(k1_lattice2(sK19),sK20),sK19)
| ~ spl403_86 ),
inference(resolution,[],[f10113,f5632]) ).
fof(f10127,plain,
( ~ m2_filter_2(sK155(k1_lattice2(sK19),sK20),sK19)
| ~ spl403_29
| ~ spl403_66
| ~ spl403_86 ),
inference(forward_subsumption_resolution,[],[f10125,f9946]) ).
fof(f10128,plain,
( $false
| ~ spl403_19
| ~ spl403_29
| ~ spl403_66
| ~ spl403_68
| ~ spl403_86 ),
inference(forward_subsumption_resolution,[],[f10127,f9971]) ).
fof(f10129,plain,
( ~ spl403_19
| ~ spl403_29
| ~ spl403_66
| ~ spl403_68
| ~ spl403_86 ),
inference(avatar_contradiction_clause,[],[f10128]) ).
cnf(s9,plain,
~ spl403_7,
inference(sat_conversion,[],[f9208]) ).
cnf(s19,plain,
( spl403_7
| spl403_19 ),
inference(sat_conversion,[],[f9281]) ).
cnf(s28,plain,
( spl403_7
| spl403_29 ),
inference(sat_conversion,[],[f9361]) ).
cnf(s38,plain,
( spl403_7
| spl403_41 ),
inference(sat_conversion,[],[f9518]) ).
cnf(s61,plain,
( spl403_7
| spl403_66 ),
inference(sat_conversion,[],[f9928]) ).
cnf(s63,plain,
( spl403_7
| spl403_68 ),
inference(sat_conversion,[],[f9936]) ).
cnf(s64,plain,
( spl403_7
| spl403_69 ),
inference(sat_conversion,[],[f9940]) ).
cnf(s77,plain,
( ~ spl403_19
| ~ spl403_29
| ~ spl403_41
| ~ spl403_68
| spl403_86
| ~ spl403_87 ),
inference(sat_conversion,[],[f10117]) ).
cnf(s79,plain,
( ~ spl403_29
| ~ spl403_69
| spl403_87 ),
inference(sat_conversion,[],[f10123]) ).
cnf(s81,plain,
( ~ spl403_19
| ~ spl403_29
| ~ spl403_66
| ~ spl403_68
| ~ spl403_86 ),
inference(sat_conversion,[],[f10129]) ).
cnf(s87,plain,
spl403_69,
inference(rat,[],[s64,s9]) ).
cnf(s88,plain,
spl403_68,
inference(rat,[],[s63,s9]) ).
cnf(s90,plain,
spl403_66,
inference(rat,[],[s61,s9]) ).
cnf(s100,plain,
spl403_41,
inference(rat,[],[s38,s9]) ).
cnf(s108,plain,
spl403_29,
inference(rat,[],[s28,s9]) ).
cnf(s116,plain,
spl403_19,
inference(rat,[],[s19,s9]) ).
cnf(s127,plain,
spl403_87,
inference(rat,[],[s79,s87,s108]) ).
cnf(s130,plain,
~ spl403_86,
inference(rat,[],[s81,s108,s88,s90,s116]) ).
cnf(s131,plain,
$false,
inference(rat,[],[s77,s127,s108,s88,s100,s130,s116]) ).
fof(f10130,plain,
$false,
inference(avatar_sat_refutation,[],[s131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT307+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n014.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 14:27:02 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.25/3.86 % (865986)Detected formulas, will run a generic FOF schedule.
% 19.25/3.86 % (866014)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=3359708267:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 19.25/3.86 % (866017)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=105817098:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 19.25/3.86 % (866016)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1889460929:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 19.25/3.86 % (866016)Refutation not found, incomplete strategy
% 19.25/3.86 % (866016)------------------------------
% 19.25/3.86 % (866016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.86 % (866016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.86 % (866016)CaDiCaL version: 2.1.3
% 19.25/3.86 % (866016)Termination reason: Refutation not found, incomplete strategy
% 19.25/3.86 % (866016)Time elapsed: 0.024 s
% 19.25/3.86 % (866016)Peak memory usage: 91 MB
% 19.25/3.86 % (866016)Instructions burned: 20 (million)
% 19.25/3.86 % (866015)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=205194925:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 19.25/3.86 % (866012)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=36646964:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 19.25/3.86 % (866017)Instruction limit reached!
% 19.25/3.86 % (866017)------------------------------
% 19.25/3.86 % (866017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.86 % (866017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.86 % (866017)CaDiCaL version: 2.1.3
% 19.25/3.86 % (866017)Termination reason: Instruction limit
% 19.25/3.86 % (866017)Termination phase: Saturation
% 19.25/3.86 % (866017)Time elapsed: 0.065 s
% 19.25/3.86 % (866017)Peak memory usage: 92 MB
% 19.25/3.86 % (866017)Instructions burned: 120 (million)
% 19.25/3.86 % (866018)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4124616753:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 19.25/3.86 % (866019)dis-21_1_sil=8000:lcm=predicate:random_seed=1521310317: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)
% 19.25/3.86 % (866018)Instruction limit reached!
% 19.25/3.86 % (866018)------------------------------
% 19.25/3.86 % (866018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.86 % (866018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.86 % (866018)CaDiCaL version: 2.1.3
% 19.25/3.86 % (866018)Termination reason: Instruction limit
% 19.25/3.86 % (866018)Termination phase: Property scanning
% 19.25/3.86 % (866018)Time elapsed: 0.129 s
% 19.25/3.86 % (866018)Peak memory usage: 94 MB
% 19.25/3.86 % (866018)Instructions burned: 139 (million)
% 19.25/3.86 % (866019)Instruction limit reached!
% 19.25/3.86 % (866019)------------------------------
% 19.25/3.86 % (866019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.86 % (866019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.86 % (866019)CaDiCaL version: 2.1.3
% 19.25/3.86 % (866019)Termination reason: Instruction limit
% 19.25/3.86 % (866019)Termination phase: Function definition elimination
% 19.25/3.86 % (866019)Time elapsed: 0.133 s
% 19.25/3.86 % (866019)Peak memory usage: 93 MB
% 19.25/3.86 % (866019)Instructions burned: 130 (million)
% 19.25/3.86 % (866030)lrs+10_1_sil=8000:sp=occurrence:random_seed=632005969:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 19.25/3.86 % (866016)------------------------------
% 19.25/3.86 % (866016)------------------------------
% 19.25/3.86 % (866030)Instruction limit reached!
% 19.25/3.86 % (866030)------------------------------
% 19.25/3.86 % (866030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.86 % (866030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.86 % (866030)CaDiCaL version: 2.1.3
% 19.25/3.86 % (866030)Termination reason: Instruction limit
% 19.25/3.86 % (866030)Termination phase: Saturation
% 19.25/3.86 % (866030)Time elapsed: 0.131 s
% 19.25/3.86 % (866030)Peak memory usage: 95 MB
% 19.25/3.86 % (866030)Instructions burned: 286 (million)
% 19.25/3.86 % (866035)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2387731340:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 19.25/3.86 % (866034)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3031273406:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 19.25/3.86 % (866034)Instruction limit reached!
% 19.25/3.86 % (866034)------------------------------
% 19.25/3.86 % (866034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.86 % (866034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.86 % (866034)CaDiCaL version: 2.1.3
% 19.25/3.86 % (866034)Termination reason: Instruction limit
% 19.25/3.86 % (866034)Termination phase: Saturation
% 19.25/3.86 % (866034)Time elapsed: 0.160 s
% 19.25/3.86 % (866034)Peak memory usage: 92 MB
% 19.25/3.86 % (866034)Instructions burned: 160 (million)
% 19.25/3.86 % (866035)Instruction limit reached!
% 19.25/3.86 % (866035)------------------------------
% 19.25/3.86 % (866035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.86 % (866035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.86 % (866035)CaDiCaL version: 2.1.3
% 19.25/3.86 % (866035)Termination reason: Instruction limit
% 19.25/3.86 % (866035)Termination phase: Saturation
% 19.25/3.86 % (866035)Time elapsed: 0.192 s
% 19.25/3.86 % (866035)Peak memory usage: 94 MB
% 19.25/3.86 % (866035)Instructions burned: 325 (million)
% 19.25/3.86 % (866039)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=1331901099:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 19.25/3.86 % (866040)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2834449700:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 19.25/3.86 % (866040)Refutation not found, incomplete strategy
% 19.25/3.86 % (866040)------------------------------
% 19.25/3.86 % (866040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.86 % (866040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.86 % (866040)CaDiCaL version: 2.1.3
% 19.25/3.86 % (866040)Termination reason: Refutation not found, incomplete strategy
% 19.25/3.86 % (866040)Time elapsed: 0.137 s
% 19.25/3.86 % (866040)Peak memory usage: 94 MB
% 19.25/3.86 % (866040)Instructions burned: 136 (million)
% 19.25/3.86 % (866046)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2068194491:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 19.25/3.86 % (866039)Instruction limit reached!
% 19.25/3.86 % (866039)------------------------------
% 19.25/3.86 % (866039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.86 % (866039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.86 % (866039)CaDiCaL version: 2.1.3
% 19.25/3.86 % (866039)Termination reason: Instruction limit
% 19.25/3.86 % (866039)Termination phase: Saturation
% 19.25/3.86 % (866039)Time elapsed: 0.207 s
% 19.25/3.86 % (866039)Peak memory usage: 97 MB
% 19.25/3.86 % (866039)Instructions burned: 248 (million)
% 19.25/3.86 % (866046)Instruction limit reached!
% 19.25/3.86 % (866046)------------------------------
% 19.25/3.86 % (866046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.86 % (866046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.86 % (866046)CaDiCaL version: 2.1.3
% 19.25/3.86 % (866046)Termination reason: Instruction limit
% 19.25/3.86 % (866046)Termination phase: Saturation
% 19.25/3.86 % (866046)Time elapsed: 0.045 s
% 19.25/3.86 % (866046)Peak memory usage: 93 MB
% 19.25/3.86 % (866046)Instructions burned: 113 (million)
% 19.25/3.86 % (866045)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2694059000:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 19.25/3.86 % (866051)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2616356237:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 19.25/3.86 % (866040)------------------------------
% 19.25/3.86 % (866040)------------------------------
% 19.25/3.86 % (866052)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3745488935:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 19.25/3.86 % (866051)Instruction limit reached!
% 19.25/3.86 % (866051)------------------------------
% 19.25/3.86 % (866051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.87 % (866051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.87 % (866051)CaDiCaL version: 2.1.3
% 19.25/3.87 % (866051)Termination reason: Instruction limit
% 19.25/3.87 % (866051)Termination phase: Property scanning
% 19.25/3.87 % (866051)Time elapsed: 0.113 s
% 19.25/3.87 % (866051)Peak memory usage: 94 MB
% 19.25/3.87 % (866051)Instructions burned: 127 (million)
% 19.25/3.87 % (866052)Instruction limit reached!
% 19.25/3.87 % (866052)------------------------------
% 19.25/3.87 % (866052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.87 % (866052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.87 % (866052)CaDiCaL version: 2.1.3
% 19.25/3.87 % (866052)Termination reason: Instruction limit
% 19.25/3.87 % (866052)Termination phase: Property scanning
% 19.25/3.87 % (866052)Time elapsed: 0.105 s
% 19.25/3.87 % (866052)Peak memory usage: 91 MB
% 19.25/3.87 % (866052)Instructions burned: 115 (million)
% 19.25/3.87 % (866059)lrs+10_1_sil=8000:sp=occurrence:random_seed=4003264980:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 19.25/3.87 % (866061)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1365055010:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 19.25/3.87 % (866062)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1639269760:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 19.25/3.87 % (866061)Refutation not found, incomplete strategy
% 19.25/3.87 % (866061)------------------------------
% 19.25/3.87 % (866061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.87 % (866061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.87 % (866061)CaDiCaL version: 2.1.3
% 19.25/3.87 % (866061)Termination reason: Refutation not found, incomplete strategy
% 19.25/3.87 % (866061)Time elapsed: 0.075 s
% 19.25/3.87 % (866061)Peak memory usage: 93 MB
% 19.25/3.87 % (866061)Instructions burned: 72 (million)
% 19.25/3.87 % (866061)------------------------------
% 19.25/3.87 % (866061)------------------------------
% 19.25/3.87 % (866014)First to succeed.
% 19.25/3.87 % (866014)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-865986"
% 19.25/3.87 % (866068)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3024673697:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 19.25/3.87 % (866068)Instruction limit reached!
% 19.25/3.87 % (866068)------------------------------
% 19.25/3.87 % (866068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.87 % (866068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.87 % (866068)CaDiCaL version: 2.1.3
% 19.25/3.87 % (866068)Termination reason: Instruction limit
% 19.25/3.87 % (866068)Termination phase: Saturation
% 19.25/3.87 % (866068)Time elapsed: 0.083 s
% 19.25/3.87 % (866068)Peak memory usage: 94 MB
% 19.25/3.87 % (866068)Instructions burned: 135 (million)
% 19.25/3.87 % (866059)Instruction limit reached!
% 19.25/3.87 % (866059)------------------------------
% 19.25/3.87 % (866059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.87 % (866059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.87 % (866059)CaDiCaL version: 2.1.3
% 19.25/3.87 % (866059)Termination reason: Instruction limit
% 19.25/3.87 % (866059)Termination phase: Saturation
% 19.25/3.87 % (866059)Time elapsed: 0.825 s
% 19.25/3.87 % (866059)Peak memory usage: 103 MB
% 19.25/3.87 % (866059)Instructions burned: 908 (million)
% 19.25/3.87 % (866070)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1451833037:st=8:i=592:sd=3:ep=RST:ss=axioms_2973 on theBenchmark for (2973ds/592Mi)
% 19.25/3.87 % (866014)Refutation found. Thanks to Tanya!
% 19.25/3.87 % SZS status Theorem for theBenchmark
% 19.25/3.87 % SZS output start Proof for theBenchmark
% See solution above
% 19.93/3.96 % (866014)------------------------------
% 19.93/3.96 % (866014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.93/3.96 % (866014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.93/3.96 % (866014)CaDiCaL version: 2.1.3
% 19.93/3.96 % (866014)Termination reason: Refutation
% 19.93/3.96 % (866014)Time elapsed: 2.242 s
% 19.93/3.96 % (866014)Peak memory usage: 161 MB
% 19.93/3.96 % (866014)Instructions burned: 2295 (million)
% 19.93/3.96 % (866014)------------------------------
% 19.93/3.96 % (866014)------------------------------
% 19.93/3.96 % (865986)Success in time 2.887 s
% 19.93/3.96 % Vampire exiting
%------------------------------------------------------------------------------