%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT306+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 11:48:19 AM UTC 2026
% Result : Theorem 2.40s 0.94s
% Output : Refutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 39
% Syntax : Number of formulae : 291 ( 72 unt; 12 def)
% Number of atoms : 947 ( 133 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1091 ( 435 ~; 479 |; 127 &)
% ( 14 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 8 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-3 aty)
% Number of variables : 213 ( 0 sgn 211 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0))) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f12,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k5_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f16,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f20,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m2_filter_2(k18_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k18_filter_2) ).
fof(f23,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f30,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_lattices(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f31,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f34,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f35,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f40,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f41,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f43,axiom,
! [X0] :
( l1_lattices(X0)
=> ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f45,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f57,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f58,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f67,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f86,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f88,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f89,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f96,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_filter_0) ).
fof(f99,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_filter_2) ).
fof(f103,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_lattice2) ).
fof(f105,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_lattice2) ).
fof(f120,plain,
? [X0] :
( ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0)))
& v14_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f121,plain,
? [X0] :
( ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0)))
& v14_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f123,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f122]) ).
fof(f137,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f138,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f142,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,[],[f15]) ).
fof(f143,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,[],[f142]) ).
fof(f144,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f145,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f144]) ).
fof(f152,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f153,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f152]) ).
fof(f158,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f165,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f166,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f165]) ).
fof(f167,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f168,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f167]) ).
fof(f170,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f171,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f176,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,[],[f40]) ).
fof(f177,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,[],[f176]) ).
fof(f178,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,[],[f41]) ).
fof(f179,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,[],[f178]) ).
fof(f181,plain,
! [X0] :
( ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f182,plain,
! [X0] :
( ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f191,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f192,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f194,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f193]) ).
fof(f207,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,[],[f67]) ).
fof(f208,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,[],[f207]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f214,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f213]) ).
fof(f222,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f223,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f222]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f89]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f226]) ).
fof(f237,plain,
! [X0] :
( k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f238,plain,
! [X0] :
( k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f237]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f243,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f242]) ).
fof(f248,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f249,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f248]) ).
fof(f251,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f252,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f251]) ).
fof(f255,definition,
! [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)) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f256,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f208,f255]) ).
fof(f257,plain,
( ~ r1_filter_2(u1_struct_0(sK1),k17_filter_2(sK1),k18_filter_2(sK1,k6_lattices(sK1)))
& v14_lattices(sK1)
& ~ v3_struct_0(sK1)
& v10_lattices(sK1)
& l3_lattices(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f121]) ).
fof(f269,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)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f255]) ).
fof(f291,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f292,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f227]) ).
fof(f296,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,[],[f249]) ).
fof(f297,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f257]) ).
fof(f298,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f257]) ).
fof(f299,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f257]) ).
fof(f300,plain,
v14_lattices(sK1),
inference(cnf_transformation,[],[f257]) ).
fof(f301,plain,
~ r1_filter_2(u1_struct_0(sK1),k17_filter_2(sK1),k18_filter_2(sK1,k6_lattices(sK1))),
inference(cnf_transformation,[],[f257]) ).
fof(f302,plain,
! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f322,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| u1_struct_0(X0) = k1_filter_0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f323,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f325,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f326,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| u1_struct_0(X0) = k17_filter_2(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f331,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m2_filter_2(k18_filter_2(X0,X1),X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f334,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f335,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f158]) ).
fof(f339,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f340,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f342,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f343,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f344,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f349,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f351,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f353,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f354,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f355,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f356,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f357,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f358,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f371,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f372,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f390,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f399,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f410,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f459,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k2_filter_0(X0,X1) = k2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f462,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f291]) ).
fof(f465,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| X1 != X2
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f292]) ).
fof(f473,plain,
! [X0] :
( k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f478,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f482,plain,
! [X0] :
( ~ v14_lattices(X0)
| v13_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f485,plain,
! [X0] :
( ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f490,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f465]) ).
fof(f491,definition,
sF30 = u1_struct_0(sK1),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f492,plain,
u1_struct_0(sK1) = sF30,
inference(reorient_equations,[],[f491]) ).
fof(f493,definition,
sF31 = k17_filter_2(sK1),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f494,plain,
k17_filter_2(sK1) = sF31,
inference(reorient_equations,[],[f493]) ).
fof(f495,definition,
sF32 = k6_lattices(sK1),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f496,plain,
k6_lattices(sK1) = sF32,
inference(reorient_equations,[],[f495]) ).
fof(f497,definition,
sF33 = k18_filter_2(sK1,sF32),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f498,plain,
k18_filter_2(sK1,sF32) = sF33,
inference(reorient_equations,[],[f497]) ).
fof(f499,plain,
~ r1_filter_2(sF30,sF31,sF33),
inference(definition_folding,[],[f301,f498,f496,f494,f492]) ).
fof(f500,plain,
! [X0] :
( ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f473]) ).
fof(f501,plain,
! [X2,X0] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r1_filter_2(X0,X2,X2) ),
inference(duplicate_literal_removal,[],[f490]) ).
fof(f508,plain,
l2_lattices(sK1),
inference(resolution,[],[f343,f297]) ).
fof(f514,plain,
l1_struct_0(sK1),
inference(resolution,[],[f508,f342]) ).
fof(f515,plain,
l1_lattices(sK1),
inference(resolution,[],[f344,f297]) ).
fof(f527,plain,
v3_lattices(k1_lattice2(sK1)),
inference(resolution,[],[f335,f297]) ).
fof(f534,plain,
v1_funct_1(u1_lattices(sK1)),
inference(resolution,[],[f355,f515]) ).
fof(f535,plain,
v1_funct_1(u2_lattices(sK1)),
inference(resolution,[],[f358,f508]) ).
fof(f566,plain,
( ~ v1_xboole_0(sF30)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1) ),
inference(superposition,[],[f372,f492]) ).
fof(f567,plain,
( ~ v1_xboole_0(sF30)
| ~ l1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f566,f299]) ).
fof(f568,plain,
~ v1_xboole_0(sF30),
inference(forward_subsumption_resolution,[],[f567,f514]) ).
fof(f679,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| sP0(sK1) ),
inference(resolution,[],[f399,f297]) ).
fof(f687,plain,
( ~ v10_lattices(sK1)
| sP0(sK1) ),
inference(forward_subsumption_resolution,[],[f679,f299]) ).
fof(f690,plain,
sP0(sK1),
inference(forward_subsumption_resolution,[],[f687,f298]) ).
fof(f732,plain,
( v3_struct_0(sK1)
| m1_subset_1(k6_lattices(sK1),u1_struct_0(sK1)) ),
inference(resolution,[],[f340,f508]) ).
fof(f751,plain,
m1_subset_1(k6_lattices(sK1),u1_struct_0(sK1)),
inference(forward_subsumption_resolution,[],[f732,f299]) ).
fof(f752,plain,
m1_subset_1(k6_lattices(sK1),sF30),
inference(forward_demodulation,[],[f751,f492]) ).
fof(f753,plain,
m1_subset_1(sF32,sF30),
inference(forward_demodulation,[],[f752,f496]) ).
fof(f1066,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| u1_struct_0(sK1) = k1_filter_0(sK1) ),
inference(resolution,[],[f322,f297]) ).
fof(f1074,plain,
( ~ v10_lattices(sK1)
| u1_struct_0(sK1) = k1_filter_0(sK1) ),
inference(forward_subsumption_resolution,[],[f1066,f299]) ).
fof(f1077,plain,
u1_struct_0(sK1) = k1_filter_0(sK1),
inference(forward_subsumption_resolution,[],[f1074,f298]) ).
fof(f1079,plain,
sF30 = k1_filter_0(sK1),
inference(superposition,[],[f492,f1077]) ).
fof(f1082,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| u1_struct_0(sK1) = k17_filter_2(sK1) ),
inference(resolution,[],[f326,f297]) ).
fof(f1090,plain,
( ~ v10_lattices(sK1)
| u1_struct_0(sK1) = k17_filter_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1082,f299]) ).
fof(f1093,plain,
u1_struct_0(sK1) = k17_filter_2(sK1),
inference(forward_subsumption_resolution,[],[f1090,f298]) ).
fof(f1096,plain,
u1_struct_0(sK1) = sF31,
inference(forward_demodulation,[],[f1093,f494]) ).
fof(f1097,plain,
sF30 = sF31,
inference(forward_demodulation,[],[f1096,f492]) ).
fof(f1098,plain,
sF31 = k1_filter_0(sK1),
inference(forward_demodulation,[],[f1097,f1079]) ).
fof(f1105,plain,
~ v1_xboole_0(k1_filter_0(sK1)),
inference(superposition,[],[f568,f1079]) ).
fof(f1108,plain,
m1_subset_1(sF32,k1_filter_0(sK1)),
inference(superposition,[],[f753,f1079]) ).
fof(f1138,plain,
( v13_lattices(k1_lattice2(sK1))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f482,f300]) ).
fof(f1141,plain,
( v13_lattices(k1_lattice2(sK1))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1138,f299]) ).
fof(f1143,plain,
( v13_lattices(k1_lattice2(sK1))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1141,f298]) ).
fof(f1145,plain,
v13_lattices(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[],[f1143,f297]) ).
fof(f1148,definition,
( spl34_33
<=> l3_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl34_33])],[avatar_definition]) ).
fof(f1149,plain,
( l3_lattices(k1_lattice2(sK1))
| ~ spl34_33 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1150,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| spl34_33 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1160,definition,
( spl34_36
<=> v3_struct_0(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl34_36])],[avatar_definition]) ).
fof(f1161,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| spl34_36 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1162,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ spl34_36 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1165,plain,
( ~ l3_lattices(sK1)
| spl34_33 ),
inference(resolution,[],[f1150,f334]) ).
fof(f1166,plain,
( $false
| spl34_33 ),
inference(forward_subsumption_resolution,[],[f1165,f297]) ).
fof(f1167,plain,
spl34_33,
inference(avatar_contradiction_clause,[],[f1166]) ).
fof(f1169,plain,
k1_lattice2(sK1) = g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)),
inference(resolution,[],[f323,f297]) ).
fof(f1177,plain,
k1_lattice2(sK1) = g3_lattices(sF30,u1_lattices(sK1),u2_lattices(sK1)),
inference(forward_demodulation,[],[f1169,f492]) ).
fof(f1178,plain,
k1_lattice2(sK1) = g3_lattices(k1_filter_0(sK1),u1_lattices(sK1),u2_lattices(sK1)),
inference(forward_demodulation,[],[f1177,f1079]) ).
fof(f1185,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| u1_struct_0(k1_lattice2(sK1)) = k1_filter_0(k1_lattice2(sK1))
| ~ spl34_33 ),
inference(resolution,[],[f1149,f322]) ).
fof(f1193,plain,
( l1_lattices(k1_lattice2(sK1))
| ~ spl34_33 ),
inference(resolution,[],[f1149,f344]) ).
fof(f1207,definition,
( spl34_38
<=> v10_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl34_38])],[avatar_definition]) ).
fof(f1208,plain,
( v10_lattices(k1_lattice2(sK1))
| ~ spl34_38 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1209,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| spl34_38 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1268,definition,
( spl34_50
<=> u1_struct_0(k1_lattice2(sK1)) = k1_filter_0(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl34_50])],[avatar_definition]) ).
fof(f1270,plain,
( u1_struct_0(k1_lattice2(sK1)) = k1_filter_0(k1_lattice2(sK1))
| ~ spl34_50 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1271,plain,
( spl34_50
| ~ spl34_38
| spl34_36
| ~ spl34_33 ),
inference(avatar_split_clause,[],[f1185,f1148,f1160,f1207,f1268]) ).
fof(f1347,plain,
! [X0] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(resolution,[],[f353,f462]) ).
fof(f1353,plain,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| ~ spl34_36 ),
inference(resolution,[],[f1162,f371]) ).
fof(f1357,plain,
( ~ l3_lattices(sK1)
| ~ spl34_36 ),
inference(forward_subsumption_resolution,[],[f1353,f299]) ).
fof(f1358,plain,
( $false
| ~ spl34_36 ),
inference(forward_subsumption_resolution,[],[f1357,f297]) ).
fof(f1359,plain,
~ spl34_36,
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f1360,plain,
v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(resolution,[],[f354,f515]) ).
fof(f1369,plain,
v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sF30,sF30),sF30),
inference(forward_demodulation,[],[f1360,f492]) ).
fof(f1370,plain,
v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1)),
inference(forward_demodulation,[],[f1369,f1079]) ).
fof(f1372,plain,
! [X0] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(resolution,[],[f356,f462]) ).
fof(f1378,plain,
( v3_struct_0(k1_lattice2(sK1))
| m1_subset_1(k5_lattices(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1)))
| ~ spl34_33 ),
inference(resolution,[],[f1193,f339]) ).
fof(f1390,plain,
( m1_subset_1(k5_lattices(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1)))
| ~ spl34_33
| spl34_36 ),
inference(forward_subsumption_resolution,[],[f1378,f1161]) ).
fof(f1398,plain,
v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(resolution,[],[f357,f508]) ).
fof(f1407,plain,
v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sF30,sF30),sF30),
inference(forward_demodulation,[],[f1398,f492]) ).
fof(f1408,plain,
v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1)),
inference(forward_demodulation,[],[f1407,f1079]) ).
fof(f1409,plain,
( ~ sP0(sK1)
| spl34_38 ),
inference(resolution,[],[f1209,f390]) ).
fof(f1410,plain,
( $false
| spl34_38 ),
inference(forward_subsumption_resolution,[],[f1409,f690]) ).
fof(f1411,plain,
spl34_38,
inference(avatar_contradiction_clause,[],[f1410]) ).
fof(f1431,plain,
( k1_lattice2(sK1) = g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(resolution,[],[f302,f527]) ).
fof(f1490,plain,
( k1_lattice2(sK1) = g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1)))
| ~ spl34_33 ),
inference(forward_subsumption_resolution,[],[f1431,f1149]) ).
fof(f1493,plain,
( k1_lattice2(sK1) = g3_lattices(k1_filter_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1)))
| ~ spl34_33
| ~ spl34_50 ),
inference(forward_demodulation,[],[f1490,f1270]) ).
fof(f1532,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| k6_lattices(sK1) = k5_lattices(k1_lattice2(sK1))
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f485,f300]) ).
fof(f1535,plain,
( ~ v10_lattices(sK1)
| k6_lattices(sK1) = k5_lattices(k1_lattice2(sK1))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1532,f299]) ).
fof(f1537,plain,
( k6_lattices(sK1) = k5_lattices(k1_lattice2(sK1))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1535,f298]) ).
fof(f1539,plain,
k6_lattices(sK1) = k5_lattices(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[],[f1537,f297]) ).
fof(f1540,plain,
sF32 = k5_lattices(k1_lattice2(sK1)),
inference(forward_demodulation,[],[f1539,f496]) ).
fof(f1545,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK1))
| k5_filter_2(sK1,X0) = X0
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f325,f1077]) ).
fof(f1548,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK1))
| k5_filter_2(sK1,X0) = X0
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1545,f299]) ).
fof(f1550,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK1))
| k5_filter_2(sK1,X0) = X0
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1548,f298]) ).
fof(f1552,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK1))
| k5_filter_2(sK1,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f1550,f297]) ).
fof(f1561,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK1))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| m2_filter_2(k18_filter_2(sK1,X0),sK1) ),
inference(superposition,[],[f331,f1077]) ).
fof(f1564,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK1))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| m2_filter_2(k18_filter_2(sK1,X0),sK1) ),
inference(forward_subsumption_resolution,[],[f1561,f299]) ).
fof(f1566,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK1))
| ~ l3_lattices(sK1)
| m2_filter_2(k18_filter_2(sK1,X0),sK1) ),
inference(forward_subsumption_resolution,[],[f1564,f298]) ).
fof(f1568,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK1))
| m2_filter_2(k18_filter_2(sK1,X0),sK1) ),
inference(forward_subsumption_resolution,[],[f1566,f297]) ).
fof(f1611,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| k1_filter_0(k1_lattice2(sK1)) = k2_filter_0(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(resolution,[],[f500,f1145]) ).
fof(f1612,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| k1_filter_0(k1_lattice2(sK1)) = k2_filter_0(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1))
| spl34_36 ),
inference(forward_subsumption_resolution,[],[f1611,f1161]) ).
fof(f1614,plain,
( k1_filter_0(k1_lattice2(sK1)) = k2_filter_0(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1))
| spl34_36
| ~ spl34_38 ),
inference(forward_subsumption_resolution,[],[f1612,f1208]) ).
fof(f1616,plain,
( k1_filter_0(k1_lattice2(sK1)) = k2_filter_0(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1)))
| ~ spl34_33
| spl34_36
| ~ spl34_38 ),
inference(forward_subsumption_resolution,[],[f1614,f1149]) ).
fof(f1618,plain,
( k1_filter_0(k1_lattice2(sK1)) = k2_filter_0(k1_lattice2(sK1),sF32)
| ~ spl34_33
| spl34_36
| ~ spl34_38 ),
inference(forward_demodulation,[],[f1616,f1540]) ).
fof(f1976,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK1))
| k18_filter_2(sK1,X0) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f478,f1077]) ).
fof(f1979,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK1))
| k18_filter_2(sK1,X0) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1976,f299]) ).
fof(f1981,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK1))
| k18_filter_2(sK1,X0) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1979,f298]) ).
fof(f1983,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK1))
| k18_filter_2(sK1,X0) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0)) ),
inference(forward_subsumption_resolution,[],[f1981,f297]) ).
fof(f2066,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| k1_filter_0(sK1) = X0
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1)) ),
inference(superposition,[],[f410,f1178]) ).
fof(f2073,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| k1_filter_0(sK1) = X0
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2066,f534]) ).
fof(f2076,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| k1_filter_0(sK1) = X0
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2073,f1370]) ).
fof(f2079,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| k1_filter_0(sK1) = X0
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2076,f535]) ).
fof(f2082,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| k1_filter_0(sK1) = X0
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2079,f1408]) ).
fof(f2084,definition,
( spl34_102
<=> m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl34_102])],[avatar_definition]) ).
fof(f2086,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| spl34_102 ),
inference(avatar_component_clause,[],[f2084]) ).
fof(f2088,definition,
( spl34_103
<=> m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl34_103])],[avatar_definition]) ).
fof(f2100,definition,
( spl34_106
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| k1_filter_0(sK1) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl34_106])],[avatar_definition]) ).
fof(f2101,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| k1_filter_0(sK1) = X0 )
| ~ spl34_106 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f2102,plain,
( ~ spl34_102
| ~ spl34_103
| spl34_106 ),
inference(avatar_split_clause,[],[f2082,f2100,f2088,f2084]) ).
fof(f3401,plain,
( m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1))
| ~ l1_lattices(sK1) ),
inference(superposition,[],[f1347,f1077]) ).
fof(f3408,plain,
m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1)),
inference(forward_subsumption_resolution,[],[f3401,f515]) ).
fof(f3418,plain,
spl34_103,
inference(avatar_split_clause,[],[f3408,f2088]) ).
fof(f3552,plain,
( m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF30,sF30),sF30)
| ~ l2_lattices(sK1) ),
inference(superposition,[],[f1372,f492]) ).
fof(f3557,plain,
m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF30,sF30),sF30),
inference(forward_subsumption_resolution,[],[f3552,f508]) ).
fof(f3567,plain,
m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(k1_filter_0(sK1),k1_filter_0(sK1)),k1_filter_0(sK1)),
inference(forward_demodulation,[],[f3557,f1079]) ).
fof(f3574,plain,
( $false
| spl34_102 ),
inference(forward_subsumption_resolution,[],[f3567,f2086]) ).
fof(f3575,plain,
spl34_102,
inference(avatar_contradiction_clause,[],[f3574]) ).
fof(f4763,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| k2_filter_0(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1))) = k2_filter_2(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1)))
| ~ spl34_33
| spl34_36 ),
inference(resolution,[],[f1390,f459]) ).
fof(f4793,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| k2_filter_0(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1))) = k2_filter_2(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1)))
| ~ spl34_33
| spl34_36 ),
inference(forward_subsumption_resolution,[],[f4763,f1161]) ).
fof(f4813,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| k2_filter_0(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1))) = k2_filter_2(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1)))
| ~ spl34_33
| spl34_36
| ~ spl34_38 ),
inference(forward_subsumption_resolution,[],[f4793,f1208]) ).
fof(f4833,plain,
( k2_filter_0(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1))) = k2_filter_2(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1)))
| ~ spl34_33
| spl34_36
| ~ spl34_38 ),
inference(forward_subsumption_resolution,[],[f4813,f1149]) ).
fof(f4853,plain,
( k2_filter_0(k1_lattice2(sK1),sF32) = k2_filter_2(k1_lattice2(sK1),sF32)
| ~ spl34_33
| spl34_36
| ~ spl34_38 ),
inference(forward_demodulation,[],[f4833,f1540]) ).
fof(f4870,plain,
( k1_filter_0(k1_lattice2(sK1)) = k2_filter_2(k1_lattice2(sK1),sF32)
| ~ spl34_33
| spl34_36
| ~ spl34_38 ),
inference(forward_demodulation,[],[f4853,f1618]) ).
fof(f5136,plain,
sF32 = k5_filter_2(sK1,sF32),
inference(resolution,[],[f1552,f1108]) ).
fof(f5143,plain,
m2_filter_2(k18_filter_2(sK1,sF32),sK1),
inference(resolution,[],[f1568,f1108]) ).
fof(f5144,plain,
m2_filter_2(sF33,sK1),
inference(forward_demodulation,[],[f5143,f498]) ).
fof(f5145,plain,
( m2_lattice4(sF33,sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f5144,f349]) ).
fof(f5148,plain,
( m2_lattice4(sF33,sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f5145,f299]) ).
fof(f5150,plain,
( m2_lattice4(sF33,sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f5148,f298]) ).
fof(f5152,plain,
m2_lattice4(sF33,sK1),
inference(forward_subsumption_resolution,[],[f5150,f297]) ).
fof(f5165,plain,
( m1_subset_1(sF33,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f5152,f351]) ).
fof(f5166,plain,
( m1_subset_1(sF33,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f5165,f299]) ).
fof(f5167,plain,
( m1_subset_1(sF33,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f5166,f298]) ).
fof(f5168,plain,
m1_subset_1(sF33,k1_zfmisc_1(u1_struct_0(sK1))),
inference(forward_subsumption_resolution,[],[f5167,f297]) ).
fof(f5169,plain,
m1_subset_1(sF33,k1_zfmisc_1(sF30)),
inference(forward_demodulation,[],[f5168,f492]) ).
fof(f5170,plain,
m1_subset_1(sF33,k1_zfmisc_1(k1_filter_0(sK1))),
inference(forward_demodulation,[],[f5169,f1079]) ).
fof(f5491,plain,
( k1_lattice2(sK1) != k1_lattice2(sK1)
| k1_filter_0(sK1) = k1_filter_0(k1_lattice2(sK1))
| ~ spl34_33
| ~ spl34_50
| ~ spl34_106 ),
inference(superposition,[],[f2101,f1493]) ).
fof(f5492,plain,
( k1_filter_0(sK1) = k1_filter_0(k1_lattice2(sK1))
| ~ spl34_33
| ~ spl34_50
| ~ spl34_106 ),
inference(trivial_inequality_removal,[],[f5491]) ).
fof(f5518,plain,
( v1_xboole_0(k1_filter_0(sK1))
| r1_filter_2(k1_filter_0(sK1),sF33,sF33) ),
inference(resolution,[],[f5170,f501]) ).
fof(f5525,plain,
r1_filter_2(k1_filter_0(sK1),sF33,sF33),
inference(forward_subsumption_resolution,[],[f5518,f1105]) ).
fof(f5557,plain,
k18_filter_2(sK1,sF32) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,sF32)),
inference(resolution,[],[f1983,f1108]) ).
fof(f5558,plain,
k18_filter_2(sK1,sF32) = k2_filter_2(k1_lattice2(sK1),sF32),
inference(forward_demodulation,[],[f5557,f5136]) ).
fof(f5561,plain,
( k18_filter_2(sK1,sF32) = k1_filter_0(k1_lattice2(sK1))
| ~ spl34_33
| spl34_36
| ~ spl34_38 ),
inference(forward_demodulation,[],[f5558,f4870]) ).
fof(f5564,plain,
( k18_filter_2(sK1,sF32) = k1_filter_0(sK1)
| ~ spl34_33
| spl34_36
| ~ spl34_38
| ~ spl34_50
| ~ spl34_106 ),
inference(forward_demodulation,[],[f5561,f5492]) ).
fof(f5886,plain,
( sF33 = k1_filter_0(sK1)
| ~ spl34_33
| spl34_36
| ~ spl34_38
| ~ spl34_50
| ~ spl34_106 ),
inference(superposition,[],[f498,f5564]) ).
fof(f5887,plain,
( ~ r1_filter_2(sF30,sF31,k1_filter_0(sK1))
| ~ spl34_33
| spl34_36
| ~ spl34_38
| ~ spl34_50
| ~ spl34_106 ),
inference(superposition,[],[f499,f5886]) ).
fof(f5899,plain,
( r1_filter_2(k1_filter_0(sK1),k1_filter_0(sK1),k1_filter_0(sK1))
| ~ spl34_33
| spl34_36
| ~ spl34_38
| ~ spl34_50
| ~ spl34_106 ),
inference(superposition,[],[f5525,f5886]) ).
fof(f5904,plain,
( ~ r1_filter_2(sF30,k1_filter_0(sK1),k1_filter_0(sK1))
| ~ spl34_33
| spl34_36
| ~ spl34_38
| ~ spl34_50
| ~ spl34_106 ),
inference(forward_demodulation,[],[f5887,f1098]) ).
fof(f5905,plain,
( ~ r1_filter_2(k1_filter_0(sK1),k1_filter_0(sK1),k1_filter_0(sK1))
| ~ spl34_33
| spl34_36
| ~ spl34_38
| ~ spl34_50
| ~ spl34_106 ),
inference(forward_demodulation,[],[f5904,f1079]) ).
fof(f5906,plain,
( $false
| ~ spl34_33
| spl34_36
| ~ spl34_38
| ~ spl34_50
| ~ spl34_106 ),
inference(forward_subsumption_resolution,[],[f5905,f5899]) ).
fof(f5907,plain,
( ~ spl34_33
| spl34_36
| ~ spl34_38
| ~ spl34_50
| ~ spl34_106 ),
inference(avatar_contradiction_clause,[],[f5906]) ).
cnf(s21,plain,
spl34_33,
inference(sat_conversion,[],[f1167]) ).
cnf(s35,plain,
( ~ spl34_33
| spl34_36
| ~ spl34_38
| spl34_50 ),
inference(sat_conversion,[],[f1271]) ).
cnf(s49,plain,
~ spl34_36,
inference(sat_conversion,[],[f1359]) ).
cnf(s52,plain,
spl34_38,
inference(sat_conversion,[],[f1411]) ).
cnf(s97,plain,
( ~ spl34_102
| ~ spl34_103
| spl34_106 ),
inference(sat_conversion,[],[f2102]) ).
cnf(s175,plain,
spl34_103,
inference(sat_conversion,[],[f3418]) ).
cnf(s202,plain,
spl34_102,
inference(sat_conversion,[],[f3575]) ).
cnf(s231,plain,
( ~ spl34_33
| spl34_36
| ~ spl34_38
| ~ spl34_50
| ~ spl34_106 ),
inference(sat_conversion,[],[f5907]) ).
cnf(s238,plain,
spl34_106,
inference(rat,[],[s97,s175,s202]) ).
cnf(s252,plain,
( ~ spl34_33
| spl34_50 ),
inference(rat,[],[s35,s52,s49]) ).
cnf(s265,plain,
~ spl34_50,
inference(rat,[],[s231,s238,s49,s52,s21]) ).
cnf(s288,plain,
$false,
inference(rat,[],[s252,s265,s21]) ).
fof(f5908,plain,
$false,
inference(avatar_sat_refutation,[],[s288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT306+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n019.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 14:26:19 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.40/0.94 % (3140897)Will run a generic schedule for satisfiability detection.
% 2.40/0.94 % (3140902)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2891400090_2999 on theBenchmark for (2999ds/0Mi)
% 2.40/0.94 % (3140903)% WARNING: option uhcvi not known.
% 2.40/0.94 % TRYING [1]
% 2.40/0.94 % (3140903)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2112196466:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.40/0.94 % TRYING [2]
% 2.40/0.94 % (3140904)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=265086410:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.40/0.94 % (3140905)dis+10_1_sil=32000:sp=arity:random_seed=2338846383:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.40/0.94 % (3140907)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=701420079:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.40/0.94 % (3140906)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3349717201:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.40/0.94 % (3140908)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=377408043:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.40/0.94 % TRYING [3]
% 2.40/0.94 % TRYING [4]
% 2.40/0.94 % TRYING [5]
% 2.40/0.94 % (3140905)Instruction limit reached!
% 2.40/0.94 % (3140905)------------------------------
% 2.40/0.94 % (3140905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.94 % (3140905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.94 % (3140905)CaDiCaL version: 2.1.3
% 2.40/0.94 % (3140905)Termination reason: Instruction limit
% 2.40/0.94 % (3140905)Termination phase: Saturation
% 2.40/0.94 % (3140905)Time elapsed: 0.067 s
% 2.40/0.94 % (3140905)Peak memory usage: 13 MB
% 2.40/0.94 % (3140905)Instructions burned: 103 (million)
% 2.40/0.94 % (3140907)Instruction limit reached!
% 2.40/0.94 % (3140907)------------------------------
% 2.40/0.94 % (3140907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.94 % (3140907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.94 % (3140907)CaDiCaL version: 2.1.3
% 2.40/0.94 % (3140907)Termination reason: Instruction limit
% 2.40/0.94 % (3140907)Termination phase: Saturation
% 2.40/0.94 % (3140907)Time elapsed: 0.069 s
% 2.40/0.94 % (3140907)Peak memory usage: 13 MB
% 2.40/0.94 % (3140907)Instructions burned: 132 (million)
% 2.40/0.94 % (3140908)Instruction limit reached!
% 2.40/0.94 % (3140908)------------------------------
% 2.40/0.94 % (3140908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.94 % (3140908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.94 % (3140908)CaDiCaL version: 2.1.3
% 2.40/0.94 % (3140908)Termination reason: Instruction limit
% 2.40/0.94 % (3140908)Termination phase: Saturation
% 2.40/0.94 % (3140908)Time elapsed: 0.076 s
% 2.40/0.94 % (3140908)Peak memory usage: 13 MB
% 2.40/0.94 % (3140908)Instructions burned: 160 (million)
% 2.40/0.94 % (3140906)Instruction limit reached!
% 2.40/0.94 % (3140906)------------------------------
% 2.40/0.94 % (3140906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.94 % (3140906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.94 % (3140906)CaDiCaL version: 2.1.3
% 2.40/0.94 % (3140906)Termination reason: Instruction limit
% 2.40/0.94 % (3140906)Termination phase: Saturation
% 2.40/0.94 % (3140906)Time elapsed: 0.077 s
% 2.40/0.94 % (3140906)Peak memory usage: 13 MB
% 2.40/0.94 % (3140906)Instructions burned: 121 (million)
% 2.40/0.94 % TRYING [6]
% 2.40/0.94 % (3140916)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2983707251:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.40/0.94 % (3140917)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2253169211:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.40/0.94 % (3140919)ott-21_1_sil=16000:fs=off:random_seed=3503698357:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.40/0.94 % (3140918)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1201733023:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.40/0.94 % TRYING [1]
% 2.40/0.94 % TRYING [2]
% 2.40/0.94 % TRYING [3]
% 2.40/0.94 % TRYING [4]
% 2.40/0.94 % (3140917)Instruction limit reached!
% 2.40/0.94 % (3140917)------------------------------
% 2.40/0.94 % (3140917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.94 % (3140917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.94 % (3140917)CaDiCaL version: 2.1.3
% 2.40/0.94 % (3140917)Termination reason: Instruction limit
% 2.40/0.94 % (3140917)Termination phase: Saturation
% 2.40/0.94 % (3140917)Time elapsed: 0.079 s
% 2.40/0.94 % (3140917)Peak memory usage: 14 MB
% 2.40/0.94 % (3140917)Instructions burned: 132 (million)
% 2.40/0.94 % TRYING [7]
% 2.40/0.94 % (3140924)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2518930714:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.40/0.94 % (3140919)Instruction limit reached!
% 2.40/0.94 % (3140919)------------------------------
% 2.40/0.94 % (3140919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.94 % (3140919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.94 % (3140919)CaDiCaL version: 2.1.3
% 2.40/0.94 % (3140919)Termination reason: Instruction limit
% 2.40/0.94 % (3140919)Termination phase: Saturation
% 2.40/0.94 % (3140919)Time elapsed: 0.100 s
% 2.40/0.94 % (3140919)Peak memory usage: 13 MB
% 2.40/0.94 % (3140919)Instructions burned: 181 (million)
% 2.40/0.94 % (3140926)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4156009316:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.40/0.94 % TRYING [5]
% 2.40/0.94 % TRYING [1]
% 2.40/0.94 % TRYING [2]
% 2.40/0.94 % TRYING [3]
% 2.40/0.94 % TRYING [4]
% 2.40/0.94 % (3140916)Instruction limit reached!
% 2.40/0.94 % (3140916)------------------------------
% 2.40/0.94 % (3140916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.94 % (3140916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.94 % (3140916)CaDiCaL version: 2.1.3
% 2.40/0.94 % (3140916)Termination reason: Instruction limit
% 2.40/0.94 % (3140916)Termination phase: Finite model building constraint generation
% 2.40/0.94 % (3140916)Time elapsed: 0.245 s
% 2.40/0.94 % (3140916)Peak memory usage: 28 MB
% 2.40/0.94 % (3140916)Instructions burned: 715 (million)
% 2.40/0.94 % (3140928)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3849143513:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.40/0.94 % TRYING [5]
% 2.40/0.94 % (3140928) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3140897-3140928"...
% 2.40/0.94 % (3140928)...printing done.
% 2.40/0.94 % (3140928)Refutation found. Thanks to Tanya!
% 2.40/0.94 % SZS status Theorem for theBenchmark
% 2.40/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 2.40/0.94 % (3140928)------------------------------
% 2.40/0.94 % (3140928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.94 % (3140928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.94 % (3140928)CaDiCaL version: 2.1.3
% 2.40/0.94 % (3140928)Termination reason: Refutation
% 2.40/0.94 % (3140928)Time elapsed: 0.112 s
% 2.40/0.94 % (3140928)Peak memory usage: 15 MB
% 2.40/0.94 % (3140928)Instructions burned: 183 (million)
% 2.40/0.94 % (3140897)Success in time 0.517 s
% 2.40/0.94 % Vampire exiting
%------------------------------------------------------------------------------