%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT323+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 11:48:25 AM UTC 2026
% Result : Theorem 0.85s 0.62s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 23
% Syntax : Number of formulae : 199 ( 30 unt; 7 def)
% Number of atoms : 850 ( 34 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1065 ( 414 ~; 453 |; 145 &)
% ( 18 <=>; 33 =>; 0 <=; 2 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 143 ( 0 sgn 137 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f16,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/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f17,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(f19,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(f20,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(f24,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(f35,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(f36,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(f53,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(f60,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v12_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(f64,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(f66,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l70_filter_2) ).
fof(f84,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(f85,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(f90,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(f93,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v1_filter_0(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_filter_0) ).
fof(f109,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) ) ),
inference(pure_predicate_removal,[],[f60]) ).
fof(f113,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(X2,X1)
<~> ~ r2_hidden(k7_lattices(X0,X2),X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f114,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( r2_hidden(X2,X1)
<~> ~ r2_hidden(k7_lattices(X0,X2),X1) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& r2_filter_2(X0,X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f113]) ).
fof(f137,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,[],[f16]) ).
fof(f138,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,[],[f137]) ).
fof(f139,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,[],[f17]) ).
fof(f140,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,[],[f139]) ).
fof(f143,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,[],[f19]) ).
fof(f144,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,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f146,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f147,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f146]) ).
fof(f159,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,[],[f35]) ).
fof(f160,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,[],[f159]) ).
fof(f161,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,[],[f36]) ).
fof(f162,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,[],[f161]) ).
fof(f176,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f177,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f176]) ).
fof(f186,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f109]) ).
fof(f187,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f186]) ).
fof(f194,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,[],[f64]) ).
fof(f195,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,[],[f194]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f198]) ).
fof(f205,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,[],[f84]) ).
fof(f206,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,[],[f205]) ).
fof(f207,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,[],[f85]) ).
fof(f208,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,[],[f207]) ).
fof(f212,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,[],[f90]) ).
fof(f213,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,[],[f212]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f217]) ).
fof(f223,plain,
( ~ r2_hidden(k7_lattices(sK0,sK2),sK1)
| r2_hidden(sK2,sK1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f224,plain,
( r2_hidden(k7_lattices(sK0,sK2),sK1)
| ~ r2_hidden(sK2,sK1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f225,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f114]) ).
fof(f226,plain,
m2_filter_2(sK1,sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f227,plain,
r2_filter_2(sK0,sK1),
inference(cnf_transformation,[],[f114]) ).
fof(f228,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f229,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f230,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f231,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f259,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| k5_filter_2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f138]) ).
fof(f260,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| k7_filter_2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f263,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f264,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f266,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f277,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f279,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f162]) ).
fof(f300,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f312,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f334,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f346,plain,
! [X0,X1] :
( ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k7_lattices(X0,X1) = k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) ),
inference(cnf_transformation,[],[f199]) ).
fof(f437,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f439,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f446,plain,
! [X0,X1] :
( ~ r2_filter_2(X0,X1)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f449,plain,
! [X2,X0,X1] :
( ~ v1_filter_0(X1,X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f450,plain,
! [X2,X0,X1] :
( ~ v1_filter_0(X1,X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f456,definition,
( spl31_1
<=> r2_hidden(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f457,plain,
( ~ r2_hidden(sK2,sK1)
| spl31_1 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f458,plain,
( r2_hidden(sK2,sK1)
| ~ spl31_1 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f460,definition,
( spl31_2
<=> r2_hidden(k7_lattices(sK0,sK2),sK1) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f461,plain,
( r2_hidden(k7_lattices(sK0,sK2),sK1)
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( ~ r2_hidden(k7_lattices(sK0,sK2),sK1)
| spl31_2 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f463,plain,
( spl31_1
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f223,f460,f456]) ).
fof(f464,plain,
( ~ spl31_1
| spl31_2 ),
inference(avatar_split_clause,[],[f224,f460,f456]) ).
fof(f479,plain,
( v3_struct_0(sK0)
| ~ v3_struct_0(k1_lattice2(sK0)) ),
inference(resolution,[],[f300,f228]) ).
fof(f512,plain,
~ v3_struct_0(k1_lattice2(sK0)),
inference(forward_subsumption_resolution,[],[f479,f231]) ).
fof(f773,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f279,f277]) ).
fof(f776,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0) ),
inference(duplicate_literal_removal,[],[f773]) ).
fof(f780,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| sK2 = k5_filter_2(sK0,sK2) ),
inference(resolution,[],[f259,f225]) ).
fof(f783,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| sK2 = k5_filter_2(sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f780,f230]) ).
fof(f784,plain,
( ~ l3_lattices(sK0)
| sK2 = k5_filter_2(sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f783,f231]) ).
fof(f785,plain,
sK2 = k5_filter_2(sK0,sK2),
inference(forward_subsumption_resolution,[],[f784,f228]) ).
fof(f824,plain,
( ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| k15_filter_2(sK0,sK1) = k7_filter_2(sK0,sK1) ),
inference(resolution,[],[f437,f226]) ).
fof(f827,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| k15_filter_2(sK0,sK1) = k7_filter_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f824,f228]) ).
fof(f828,plain,
( v3_struct_0(sK0)
| k15_filter_2(sK0,sK1) = k7_filter_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f827,f230]) ).
fof(f829,plain,
k15_filter_2(sK0,sK1) = k7_filter_2(sK0,sK1),
inference(forward_subsumption_resolution,[],[f828,f231]) ).
fof(f830,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_filter_2(sK1,sK0) ),
inference(superposition,[],[f263,f829]) ).
fof(f831,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_filter_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f830,f228]) ).
fof(f832,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| v3_struct_0(sK0)
| ~ m2_filter_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f831,f230]) ).
fof(f833,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ m2_filter_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f832,f231]) ).
fof(f834,plain,
m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0)),
inference(forward_subsumption_resolution,[],[f833,f226]) ).
fof(f836,plain,
( m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK0)))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(superposition,[],[f266,f785]) ).
fof(f837,plain,
( m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f836,f228]) ).
fof(f839,plain,
( m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK0)))
| v3_struct_0(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f837,f230]) ).
fof(f841,plain,
( m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK0)))
| ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f839,f231]) ).
fof(f843,plain,
m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK0))),
inference(forward_subsumption_resolution,[],[f841,f225]) ).
fof(f851,definition,
( spl31_28
<=> l3_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_28])],[avatar_definition]) ).
fof(f852,plain,
( l3_lattices(k1_lattice2(sK0))
| ~ spl31_28 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f853,plain,
( ~ l3_lattices(k1_lattice2(sK0))
| spl31_28 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f855,definition,
( spl31_29
<=> v10_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_29])],[avatar_definition]) ).
fof(f856,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ spl31_29 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f857,plain,
( ~ v10_lattices(k1_lattice2(sK0))
| spl31_29 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f868,plain,
( ~ l3_lattices(sK0)
| spl31_28 ),
inference(resolution,[],[f853,f264]) ).
fof(f869,plain,
( $false
| spl31_28 ),
inference(forward_subsumption_resolution,[],[f868,f228]) ).
fof(f870,plain,
spl31_28,
inference(avatar_contradiction_clause,[],[f869]) ).
fof(f881,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_filter_2(sK1,sK0)
| v1_filter_0(k15_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f446,f227]) ).
fof(f882,plain,
( v3_struct_0(sK0)
| ~ m2_filter_2(sK1,sK0)
| v1_filter_0(k15_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f881,f230]) ).
fof(f883,plain,
( ~ m2_filter_2(sK1,sK0)
| v1_filter_0(k15_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f882,f231]) ).
fof(f884,plain,
( v1_filter_0(k15_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f883,f226]) ).
fof(f885,plain,
v1_filter_0(k15_filter_2(sK0,sK1),k1_lattice2(sK0)),
inference(forward_subsumption_resolution,[],[f884,f228]) ).
fof(f886,plain,
v1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0)),
inference(forward_demodulation,[],[f885,f829]) ).
fof(f887,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| spl31_29 ),
inference(resolution,[],[f857,f334]) ).
fof(f888,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| spl31_29 ),
inference(forward_subsumption_resolution,[],[f887,f230]) ).
fof(f889,plain,
( ~ l3_lattices(sK0)
| spl31_29 ),
inference(forward_subsumption_resolution,[],[f888,f231]) ).
fof(f890,plain,
( $false
| spl31_29 ),
inference(forward_subsumption_resolution,[],[f889,f228]) ).
fof(f891,plain,
spl31_29,
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f901,plain,
! [X0] :
( ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_lattices(sK0,X0) = k7_lattices(k1_lattice2(sK0),k5_filter_2(sK0,X0)) ),
inference(resolution,[],[f346,f229]) ).
fof(f906,plain,
! [X0] :
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_lattices(sK0,X0) = k7_lattices(k1_lattice2(sK0),k5_filter_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f901,f228]) ).
fof(f909,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_lattices(sK0,X0) = k7_lattices(k1_lattice2(sK0),k5_filter_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f906,f230]) ).
fof(f912,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_lattices(sK0,X0) = k7_lattices(k1_lattice2(sK0),k5_filter_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f909,f231]) ).
fof(f913,plain,
! [X0] :
( ~ v17_lattices(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| r2_hidden(k7_lattices(k1_lattice2(sK0),X0),k7_filter_2(sK0,sK1))
| r2_hidden(X0,k7_filter_2(sK0,sK1)) ),
inference(resolution,[],[f886,f449]) ).
fof(f914,plain,
( ! [X0] :
( ~ v17_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| r2_hidden(k7_lattices(k1_lattice2(sK0),X0),k7_filter_2(sK0,sK1))
| r2_hidden(X0,k7_filter_2(sK0,sK1)) )
| ~ spl31_29 ),
inference(forward_subsumption_resolution,[],[f913,f856]) ).
fof(f915,plain,
( ! [X0] :
( ~ v17_lattices(k1_lattice2(sK0))
| ~ m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| r2_hidden(k7_lattices(k1_lattice2(sK0),X0),k7_filter_2(sK0,sK1))
| r2_hidden(X0,k7_filter_2(sK0,sK1)) )
| ~ spl31_29 ),
inference(forward_subsumption_resolution,[],[f914,f512]) ).
fof(f916,plain,
( ! [X0] :
( ~ v17_lattices(k1_lattice2(sK0))
| ~ m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| r2_hidden(k7_lattices(k1_lattice2(sK0),X0),k7_filter_2(sK0,sK1))
| r2_hidden(X0,k7_filter_2(sK0,sK1)) )
| ~ spl31_28
| ~ spl31_29 ),
inference(forward_subsumption_resolution,[],[f915,f852]) ).
fof(f918,definition,
( spl31_30
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| r2_hidden(X0,k7_filter_2(sK0,sK1))
| r2_hidden(k7_lattices(k1_lattice2(sK0),X0),k7_filter_2(sK0,sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl31_30])],[avatar_definition]) ).
fof(f919,plain,
( ! [X0] :
( r2_hidden(k7_lattices(k1_lattice2(sK0),X0),k7_filter_2(sK0,sK1))
| r2_hidden(X0,k7_filter_2(sK0,sK1))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0))) )
| ~ spl31_30 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f921,definition,
( spl31_31
<=> m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_31])],[avatar_definition]) ).
fof(f922,plain,
( m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ spl31_31 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f923,plain,
( ~ m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| spl31_31 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f925,definition,
( spl31_32
<=> v17_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_32])],[avatar_definition]) ).
fof(f926,plain,
( v17_lattices(k1_lattice2(sK0))
| ~ spl31_32 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f927,plain,
( ~ v17_lattices(k1_lattice2(sK0))
| spl31_32 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f928,plain,
( spl31_30
| ~ spl31_31
| ~ spl31_32
| ~ spl31_28
| ~ spl31_29 ),
inference(avatar_split_clause,[],[f916,f855,f851,f925,f921,f918]) ).
fof(f929,plain,
! [X0] :
( ~ v17_lattices(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK0),X0),k7_filter_2(sK0,sK1))
| ~ r2_hidden(X0,k7_filter_2(sK0,sK1)) ),
inference(resolution,[],[f450,f886]) ).
fof(f930,plain,
( ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0)) ),
inference(resolution,[],[f834,f439]) ).
fof(f933,plain,
( v3_struct_0(k1_lattice2(sK0))
| m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl31_29 ),
inference(forward_subsumption_resolution,[],[f930,f856]) ).
fof(f935,plain,
( m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl31_29 ),
inference(forward_subsumption_resolution,[],[f933,f512]) ).
fof(f937,plain,
( ~ l3_lattices(k1_lattice2(sK0))
| ~ spl31_29
| spl31_31 ),
inference(forward_subsumption_resolution,[],[f935,f923]) ).
fof(f938,plain,
( $false
| ~ spl31_28
| ~ spl31_29
| spl31_31 ),
inference(forward_subsumption_resolution,[],[f937,f852]) ).
fof(f939,plain,
( ~ spl31_28
| ~ spl31_29
| spl31_31 ),
inference(avatar_contradiction_clause,[],[f938]) ).
fof(f944,plain,
( ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| spl31_32 ),
inference(resolution,[],[f927,f312]) ).
fof(f945,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| spl31_32 ),
inference(forward_subsumption_resolution,[],[f944,f229]) ).
fof(f946,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| spl31_32 ),
inference(forward_subsumption_resolution,[],[f945,f230]) ).
fof(f947,plain,
( ~ l3_lattices(sK0)
| spl31_32 ),
inference(forward_subsumption_resolution,[],[f946,f231]) ).
fof(f948,plain,
( $false
| spl31_32 ),
inference(forward_subsumption_resolution,[],[f947,f228]) ).
fof(f949,plain,
spl31_32,
inference(avatar_contradiction_clause,[],[f948]) ).
fof(f950,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK0),X0),k7_filter_2(sK0,sK1))
| ~ r2_hidden(X0,k7_filter_2(sK0,sK1)) )
| ~ spl31_32 ),
inference(forward_subsumption_resolution,[],[f929,f926]) ).
fof(f951,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(sK0))
| ~ m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK0),X0),k7_filter_2(sK0,sK1))
| ~ r2_hidden(X0,k7_filter_2(sK0,sK1)) )
| ~ spl31_29
| ~ spl31_32 ),
inference(forward_subsumption_resolution,[],[f950,f856]) ).
fof(f952,plain,
( ! [X0] :
( ~ m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK0),X0),k7_filter_2(sK0,sK1))
| ~ r2_hidden(X0,k7_filter_2(sK0,sK1)) )
| ~ spl31_29
| ~ spl31_32 ),
inference(forward_subsumption_resolution,[],[f951,f512]) ).
fof(f953,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(sK0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| ~ r2_hidden(k7_lattices(k1_lattice2(sK0),X0),k7_filter_2(sK0,sK1))
| ~ r2_hidden(X0,k7_filter_2(sK0,sK1)) )
| ~ spl31_29
| ~ spl31_31
| ~ spl31_32 ),
inference(forward_subsumption_resolution,[],[f952,f922]) ).
fof(f954,plain,
( ! [X0] :
( ~ r2_hidden(k7_lattices(k1_lattice2(sK0),X0),k7_filter_2(sK0,sK1))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| ~ r2_hidden(X0,k7_filter_2(sK0,sK1)) )
| ~ spl31_28
| ~ spl31_29
| ~ spl31_31
| ~ spl31_32 ),
inference(forward_subsumption_resolution,[],[f953,f852]) ).
fof(f1269,plain,
k7_lattices(sK0,sK2) = k7_lattices(k1_lattice2(sK0),k5_filter_2(sK0,sK2)),
inference(resolution,[],[f912,f225]) ).
fof(f1271,plain,
k7_lattices(sK0,sK2) = k7_lattices(k1_lattice2(sK0),sK2),
inference(forward_demodulation,[],[f1269,f785]) ).
fof(f1541,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f776,f226]) ).
fof(f1544,plain,
( ~ l3_lattices(sK0)
| m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1541,f231]) ).
fof(f1545,plain,
( m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1544,f228]) ).
fof(f1546,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[],[f1545,f230]) ).
fof(f1548,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| sK1 = k7_filter_2(sK0,sK1) ),
inference(resolution,[],[f1546,f260]) ).
fof(f1553,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| sK1 = k7_filter_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1548,f230]) ).
fof(f1562,plain,
( ~ l3_lattices(sK0)
| sK1 = k7_filter_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1553,f231]) ).
fof(f1563,plain,
sK1 = k7_filter_2(sK0,sK1),
inference(forward_subsumption_resolution,[],[f1562,f228]) ).
fof(f2303,plain,
( r2_hidden(k7_lattices(sK0,sK2),k7_filter_2(sK0,sK1))
| r2_hidden(sK2,k7_filter_2(sK0,sK1))
| ~ m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK0)))
| ~ spl31_30 ),
inference(superposition,[],[f919,f1271]) ).
fof(f2307,plain,
( r2_hidden(k7_lattices(sK0,sK2),k7_filter_2(sK0,sK1))
| r2_hidden(sK2,k7_filter_2(sK0,sK1))
| ~ spl31_30 ),
inference(forward_subsumption_resolution,[],[f2303,f843]) ).
fof(f2316,plain,
( r2_hidden(k7_lattices(sK0,sK2),sK1)
| r2_hidden(sK2,k7_filter_2(sK0,sK1))
| ~ spl31_30 ),
inference(forward_demodulation,[],[f2307,f1563]) ).
fof(f2324,plain,
( r2_hidden(sK2,k7_filter_2(sK0,sK1))
| spl31_2
| ~ spl31_30 ),
inference(forward_subsumption_resolution,[],[f2316,f462]) ).
fof(f2333,plain,
( r2_hidden(sK2,sK1)
| spl31_2
| ~ spl31_30 ),
inference(forward_demodulation,[],[f2324,f1563]) ).
fof(f2335,plain,
( $false
| spl31_1
| spl31_2
| ~ spl31_30 ),
inference(forward_subsumption_resolution,[],[f2333,f457]) ).
fof(f2336,plain,
( spl31_1
| spl31_2
| ~ spl31_30 ),
inference(avatar_contradiction_clause,[],[f2335]) ).
fof(f2727,plain,
( ~ r2_hidden(k7_lattices(sK0,sK2),k7_filter_2(sK0,sK1))
| ~ m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK0)))
| ~ r2_hidden(sK2,k7_filter_2(sK0,sK1))
| ~ spl31_28
| ~ spl31_29
| ~ spl31_31
| ~ spl31_32 ),
inference(superposition,[],[f954,f1271]) ).
fof(f2734,plain,
( ~ r2_hidden(k7_lattices(sK0,sK2),k7_filter_2(sK0,sK1))
| ~ r2_hidden(sK2,k7_filter_2(sK0,sK1))
| ~ spl31_28
| ~ spl31_29
| ~ spl31_31
| ~ spl31_32 ),
inference(forward_subsumption_resolution,[],[f2727,f843]) ).
fof(f2738,plain,
( ~ r2_hidden(k7_lattices(sK0,sK2),sK1)
| ~ r2_hidden(sK2,k7_filter_2(sK0,sK1))
| ~ spl31_28
| ~ spl31_29
| ~ spl31_31
| ~ spl31_32 ),
inference(forward_demodulation,[],[f2734,f1563]) ).
fof(f2742,plain,
( ~ r2_hidden(sK2,k7_filter_2(sK0,sK1))
| ~ spl31_2
| ~ spl31_28
| ~ spl31_29
| ~ spl31_31
| ~ spl31_32 ),
inference(forward_subsumption_resolution,[],[f2738,f461]) ).
fof(f2746,plain,
( ~ r2_hidden(sK2,sK1)
| ~ spl31_2
| ~ spl31_28
| ~ spl31_29
| ~ spl31_31
| ~ spl31_32 ),
inference(forward_demodulation,[],[f2742,f1563]) ).
fof(f2749,plain,
( $false
| ~ spl31_1
| ~ spl31_2
| ~ spl31_28
| ~ spl31_29
| ~ spl31_31
| ~ spl31_32 ),
inference(forward_subsumption_resolution,[],[f2746,f458]) ).
fof(f2750,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_28
| ~ spl31_29
| ~ spl31_31
| ~ spl31_32 ),
inference(avatar_contradiction_clause,[],[f2749]) ).
cnf(s1,plain,
( spl31_1
| ~ spl31_2 ),
inference(sat_conversion,[],[f463]) ).
cnf(s2,plain,
( ~ spl31_1
| spl31_2 ),
inference(sat_conversion,[],[f464]) ).
cnf(s21,plain,
spl31_28,
inference(sat_conversion,[],[f870]) ).
cnf(s22,plain,
spl31_29,
inference(sat_conversion,[],[f891]) ).
cnf(s23,plain,
( ~ spl31_28
| ~ spl31_29
| spl31_30
| ~ spl31_31
| ~ spl31_32 ),
inference(sat_conversion,[],[f928]) ).
cnf(s24,plain,
( ~ spl31_28
| ~ spl31_29
| spl31_31 ),
inference(sat_conversion,[],[f939]) ).
cnf(s25,plain,
spl31_32,
inference(sat_conversion,[],[f949]) ).
cnf(s63,plain,
( spl31_1
| spl31_2
| ~ spl31_30 ),
inference(sat_conversion,[],[f2336]) ).
cnf(s101,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_28
| ~ spl31_29
| ~ spl31_31
| ~ spl31_32 ),
inference(sat_conversion,[],[f2750]) ).
cnf(s113,plain,
( ~ spl31_28
| ~ spl31_29
| spl31_30
| ~ spl31_31 ),
inference(rat,[],[s23,s25]) ).
cnf(s117,plain,
spl31_31,
inference(rat,[],[s24,s22,s21]) ).
cnf(s118,plain,
spl31_30,
inference(rat,[],[s113,s117,s22,s21]) ).
cnf(s135,plain,
spl31_1,
inference(rat,[],[s1,s63,s118]) ).
cnf(s136,plain,
~ spl31_2,
inference(rat,[],[s101,s25,s117,s22,s21,s135]) ).
cnf(s138,plain,
$false,
inference(rat,[],[s2,s136,s135]) ).
fof(f2753,plain,
$false,
inference(avatar_sat_refutation,[],[s138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT323+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.42 % Computer : n003.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 14:38:56 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.47 Running first-order model finding
% 0.17/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.85/0.62 % (609477)Will run a generic schedule for satisfiability detection.
% 0.85/0.62 % (609483)% WARNING: option uhcvi not known.
% 0.85/0.62 % (609483)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3480220994:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.85/0.62 % (609484)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3950238315:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.85/0.62 % (609482)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3995513172_2999 on theBenchmark for (2999ds/0Mi)
% 0.85/0.62 % (609485)dis+10_1_sil=32000:sp=arity:random_seed=3245751634:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.85/0.62 % (609486)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=267662781:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.85/0.62 % (609487)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4200473690:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.85/0.62 % (609488)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3340493334:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.85/0.62 % TRYING [1]
% 0.85/0.62 % TRYING [2]
% 0.85/0.62 % TRYING [3]
% 0.85/0.62 % TRYING [4]
% 0.85/0.62 % TRYING [5]
% 0.85/0.62 % (609486) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-609477-609486"...
% 0.85/0.62 % (609486)...printing done.
% 0.85/0.62 % (609486)Refutation found. Thanks to Tanya!
% 0.85/0.62 % SZS status Theorem for theBenchmark
% 0.85/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 0.85/0.63 % (609486)------------------------------
% 0.85/0.63 % (609486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.63 % (609486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.63 % (609486)CaDiCaL version: 2.1.3
% 0.85/0.63 % (609486)Termination reason: Refutation
% 0.85/0.63 % (609486)Time elapsed: 0.092 s
% 0.85/0.63 % (609486)Peak memory usage: 14 MB
% 0.85/0.63 % (609486)Instructions burned: 89 (million)
% 0.85/0.63 % (609477)Success in time 0.138 s
% 0.85/0.63 % Vampire exiting
%------------------------------------------------------------------------------