TSTP Solution File: LAT296+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT296+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:33:25 EDT 2022
% Result : Theorem 2.56s 0.74s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 46
% Syntax : Number of formulae : 211 ( 31 unt; 0 def)
% Number of atoms : 937 ( 100 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 1194 ( 468 ~; 487 |; 164 &)
% ( 37 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 51 ( 49 usr; 33 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 207 ( 183 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3420,plain,
$false,
inference(avatar_sat_refutation,[],[f639,f641,f763,f765,f1291,f1301,f1444,f1461,f1462,f1465,f1534,f1538,f1603,f1639,f1746,f1765,f1768,f1769,f1774,f1962,f2305,f2342,f2345,f2352,f2402,f2405,f2599,f2618,f2669,f2908,f3105,f3157,f3415]) ).
fof(f3415,plain,
( ~ spl27_208
| ~ spl27_167
| spl27_170
| ~ spl27_176
| ~ spl27_189
| ~ spl27_304 ),
inference(avatar_split_clause,[],[f3412,f3154,f1960,f1878,f1741,f1729,f2127]) ).
fof(f2127,plain,
( spl27_208
<=> m1_subset_1(k7_lattices(sK3,sK5),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_208])]) ).
fof(f1729,plain,
( spl27_167
<=> m1_subset_1(sK5,u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_167])]) ).
fof(f1741,plain,
( spl27_170
<=> r2_lattices(sK4,k7_lattices(sK3,sK5),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_170])]) ).
fof(f1878,plain,
( spl27_176
<=> u1_struct_0(sK4) = u1_struct_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_176])]) ).
fof(f1960,plain,
( spl27_189
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| r2_lattices(sK4,X1,X0)
| ~ r2_lattices(sK3,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_189])]) ).
fof(f3154,plain,
( spl27_304
<=> r2_lattices(sK3,k7_lattices(sK3,sK5),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_304])]) ).
fof(f3412,plain,
( r2_lattices(sK4,k7_lattices(sK3,sK5),sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ m1_subset_1(k7_lattices(sK3,sK5),u1_struct_0(sK3))
| ~ spl27_176
| ~ spl27_189
| ~ spl27_304 ),
inference(resolution,[],[f2739,f3156]) ).
fof(f3156,plain,
( r2_lattices(sK3,k7_lattices(sK3,sK5),sK5)
| ~ spl27_304 ),
inference(avatar_component_clause,[],[f3154]) ).
fof(f2739,plain,
( ! [X0,X1] :
( ~ r2_lattices(sK3,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| r2_lattices(sK4,X1,X0) )
| ~ spl27_176
| ~ spl27_189 ),
inference(duplicate_literal_removal,[],[f2738]) ).
fof(f2738,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK3))
| ~ r2_lattices(sK3,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| r2_lattices(sK4,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK3)) )
| ~ spl27_176
| ~ spl27_189 ),
inference(forward_demodulation,[],[f2737,f1880]) ).
fof(f1880,plain,
( u1_struct_0(sK4) = u1_struct_0(sK3)
| ~ spl27_176 ),
inference(avatar_component_clause,[],[f1878]) ).
fof(f2737,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK3))
| r2_lattices(sK4,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ r2_lattices(sK3,X1,X0) )
| ~ spl27_176
| ~ spl27_189 ),
inference(duplicate_literal_removal,[],[f2693]) ).
fof(f2693,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| r2_lattices(sK4,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ r2_lattices(sK3,X1,X0) )
| ~ spl27_176
| ~ spl27_189 ),
inference(backward_demodulation,[],[f1961,f1880]) ).
fof(f1961,plain,
( ! [X0,X1] :
( ~ r2_lattices(sK3,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| r2_lattices(sK4,X1,X0) )
| ~ spl27_189 ),
inference(avatar_component_clause,[],[f1960]) ).
fof(f3157,plain,
( spl27_304
| ~ spl27_145
| ~ spl27_167
| spl27_13
| ~ spl27_14
| ~ spl27_116
| ~ spl27_149
| ~ spl27_208 ),
inference(avatar_split_clause,[],[f3145,f2127,f1305,f1095,f525,f521,f1729,f1276,f3154]) ).
fof(f1276,plain,
( spl27_145
<=> v11_lattices(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_145])]) ).
fof(f521,plain,
( spl27_13
<=> v3_struct_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).
fof(f525,plain,
( spl27_14
<=> v10_lattices(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).
fof(f1095,plain,
( spl27_116
<=> v16_lattices(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_116])]) ).
fof(f1305,plain,
( spl27_149
<=> l3_lattices(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_149])]) ).
fof(f3145,plain,
( ~ l3_lattices(sK3)
| ~ v16_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ v11_lattices(sK3)
| r2_lattices(sK3,k7_lattices(sK3,sK5),sK5)
| ~ spl27_208 ),
inference(resolution,[],[f2128,f427]) ).
fof(f427,plain,
! [X0,X1] :
( ~ m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r2_lattices(X0,k7_lattices(X0,X1),X1)
| ~ v11_lattices(X0)
| v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f425]) ).
fof(f425,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| r2_lattices(X0,k7_lattices(X0,X1),X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v11_lattices(X0) ),
inference(equality_resolution,[],[f385]) ).
fof(f385,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| r2_lattices(X0,X2,X1)
| k7_lattices(X0,X1) != X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ~ l3_lattices(X0)
| ! [X1] :
( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ! [X2] :
( ( ( r2_lattices(X0,X2,X1)
| k7_lattices(X0,X1) != X2 )
& ( k7_lattices(X0,X1) = X2
| ~ r2_lattices(X0,X2,X1) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v10_lattices(X0) )
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ~ l3_lattices(X0)
| ! [X1] :
( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ! [X2] :
( ( r2_lattices(X0,X2,X1)
<=> k7_lattices(X0,X1) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v10_lattices(X0) )
| v3_struct_0(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_lattices(X0,X2,X1)
<=> k7_lattices(X0,X1) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( ( v10_lattices(X0)
& l3_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0)
& v16_lattices(X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_lattices(X0,X2,X1)
<=> k7_lattices(X0,X1) = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d21_lattices) ).
fof(f2128,plain,
( m1_subset_1(k7_lattices(sK3,sK5),u1_struct_0(sK3))
| ~ spl27_208 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f3105,plain,
( spl27_13
| ~ spl27_149
| ~ spl27_167
| spl27_208 ),
inference(avatar_split_clause,[],[f3098,f2127,f1729,f1305,f521]) ).
fof(f3098,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ l3_lattices(sK3)
| v3_struct_0(sK3)
| spl27_208 ),
inference(resolution,[],[f2129,f319]) ).
fof(f319,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ( l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& ~ v3_struct_0(X0) )
=> m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattices) ).
fof(f2129,plain,
( ~ m1_subset_1(k7_lattices(sK3,sK5),u1_struct_0(sK3))
| spl27_208 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f2908,plain,
( ~ spl27_208
| ~ spl27_170
| ~ spl27_155
| ~ spl27_176 ),
inference(avatar_split_clause,[],[f2903,f1878,f1532,f1741,f2127]) ).
fof(f1532,plain,
( spl27_155
<=> ! [X0] :
( k7_lattices(sK3,sK5) != X0
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ r2_lattices(sK4,X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_155])]) ).
fof(f2903,plain,
( ~ r2_lattices(sK4,k7_lattices(sK3,sK5),sK5)
| ~ m1_subset_1(k7_lattices(sK3,sK5),u1_struct_0(sK3))
| ~ spl27_155
| ~ spl27_176 ),
inference(equality_resolution,[],[f2681]) ).
fof(f2681,plain,
( ! [X0] :
( k7_lattices(sK3,sK5) != X0
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ r2_lattices(sK4,X0,sK5) )
| ~ spl27_155
| ~ spl27_176 ),
inference(backward_demodulation,[],[f1533,f1880]) ).
fof(f1533,plain,
( ! [X0] :
( k7_lattices(sK3,sK5) != X0
| ~ r2_lattices(sK4,X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK4)) )
| ~ spl27_155 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f2669,plain,
( spl27_176
| ~ spl27_162 ),
inference(avatar_split_clause,[],[f2667,f1601,f1878]) ).
fof(f1601,plain,
( spl27_162
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u1_struct_0(sK4) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_162])]) ).
fof(f2667,plain,
( u1_struct_0(sK4) = u1_struct_0(sK3)
| ~ spl27_162 ),
inference(equality_resolution,[],[f1602]) ).
fof(f1602,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u1_struct_0(sK4) = X0 )
| ~ spl27_162 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f2618,plain,
( ~ spl27_227
| spl27_161 ),
inference(avatar_split_clause,[],[f2615,f1597,f2397]) ).
fof(f2397,plain,
( spl27_227
<=> l2_lattices(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_227])]) ).
fof(f1597,plain,
( spl27_161
<=> v1_funct_1(u2_lattices(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_161])]) ).
fof(f2615,plain,
( ~ l2_lattices(sK4)
| spl27_161 ),
inference(resolution,[],[f1599,f323]) ).
fof(f323,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ~ l2_lattices(X0)
| ( v1_funct_1(u2_lattices(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f1599,plain,
( ~ v1_funct_1(u2_lattices(sK4))
| spl27_161 ),
inference(avatar_component_clause,[],[f1597]) ).
fof(f2599,plain,
( ~ spl27_227
| spl27_159 ),
inference(avatar_split_clause,[],[f2583,f1589,f2397]) ).
fof(f1589,plain,
( spl27_159
<=> m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_159])]) ).
fof(f2583,plain,
( ~ l2_lattices(sK4)
| spl27_159 ),
inference(resolution,[],[f1858,f1591]) ).
fof(f1591,plain,
( ~ m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| spl27_159 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1858,plain,
! [X1] :
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(resolution,[],[f324,f322]) ).
fof(f322,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,[],[f135]) ).
fof(f324,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X2,X1)
| m1_relset_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X0,X2,X1)
| ~ m1_relset_1(X0,X2,X1) )
& ( m1_relset_1(X0,X2,X1)
| ~ m2_relset_1(X0,X2,X1) ) ),
inference(rectify,[],[f202]) ).
fof(f202,plain,
! [X1,X2,X0] :
( ( m2_relset_1(X1,X0,X2)
| ~ m1_relset_1(X1,X0,X2) )
& ( m1_relset_1(X1,X0,X2)
| ~ m2_relset_1(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X1,X2,X0] :
( m2_relset_1(X1,X0,X2)
<=> m1_relset_1(X1,X0,X2) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X0,X2,X1] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f2405,plain,
spl27_227,
inference(avatar_contradiction_clause,[],[f2404]) ).
fof(f2404,plain,
( $false
| spl27_227 ),
inference(resolution,[],[f2399,f429]) ).
fof(f429,plain,
l2_lattices(sK4),
inference(resolution,[],[f271,f241]) ).
fof(f241,plain,
l3_lattices(sK4),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( l3_lattices(sK3)
& v17_lattices(sK4)
& ~ v3_struct_0(sK4)
& v10_lattices(sK4)
& g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) = g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
& l3_lattices(sK4)
& m1_subset_1(sK5,u1_struct_0(sK3))
& sK6 = sK5
& m1_subset_1(sK6,u1_struct_0(sK4))
& k7_lattices(sK4,sK6) != k7_lattices(sK3,sK5)
& v10_lattices(sK3)
& ~ v3_struct_0(sK3)
& v17_lattices(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f123,f173,f172,f171,f170]) ).
fof(f170,plain,
( ? [X0] :
( l3_lattices(X0)
& ? [X1] :
( v17_lattices(X1)
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& l3_lattices(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( X2 = X3
& m1_subset_1(X3,u1_struct_0(X1))
& k7_lattices(X0,X2) != k7_lattices(X1,X3) ) ) )
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& v17_lattices(X0) )
=> ( l3_lattices(sK3)
& ? [X1] :
( v17_lattices(X1)
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
& l3_lattices(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK3))
& ? [X3] :
( X2 = X3
& m1_subset_1(X3,u1_struct_0(X1))
& k7_lattices(X1,X3) != k7_lattices(sK3,X2) ) ) )
& v10_lattices(sK3)
& ~ v3_struct_0(sK3)
& v17_lattices(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
( ? [X1] :
( v17_lattices(X1)
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
& l3_lattices(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK3))
& ? [X3] :
( X2 = X3
& m1_subset_1(X3,u1_struct_0(X1))
& k7_lattices(X1,X3) != k7_lattices(sK3,X2) ) ) )
=> ( v17_lattices(sK4)
& ~ v3_struct_0(sK4)
& v10_lattices(sK4)
& g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) = g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
& l3_lattices(sK4)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK3))
& ? [X3] :
( X2 = X3
& m1_subset_1(X3,u1_struct_0(sK4))
& k7_lattices(sK3,X2) != k7_lattices(sK4,X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK3))
& ? [X3] :
( X2 = X3
& m1_subset_1(X3,u1_struct_0(sK4))
& k7_lattices(sK3,X2) != k7_lattices(sK4,X3) ) )
=> ( m1_subset_1(sK5,u1_struct_0(sK3))
& ? [X3] :
( sK5 = X3
& m1_subset_1(X3,u1_struct_0(sK4))
& k7_lattices(sK4,X3) != k7_lattices(sK3,sK5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X3] :
( sK5 = X3
& m1_subset_1(X3,u1_struct_0(sK4))
& k7_lattices(sK4,X3) != k7_lattices(sK3,sK5) )
=> ( sK6 = sK5
& m1_subset_1(sK6,u1_struct_0(sK4))
& k7_lattices(sK4,sK6) != k7_lattices(sK3,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
? [X0] :
( l3_lattices(X0)
& ? [X1] :
( v17_lattices(X1)
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& l3_lattices(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( X2 = X3
& m1_subset_1(X3,u1_struct_0(X1))
& k7_lattices(X0,X2) != k7_lattices(X1,X3) ) ) )
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& v17_lattices(X0) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_lattices(X0,X2) != k7_lattices(X1,X3)
& X2 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& v17_lattices(X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
& v17_lattices(X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v17_lattices(X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( v17_lattices(X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k7_lattices(X0,X2) = k7_lattices(X1,X3) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v17_lattices(X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( v17_lattices(X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k7_lattices(X0,X2) = k7_lattices(X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_filter_2) ).
fof(f271,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f2399,plain,
( ~ l2_lattices(sK4)
| spl27_227 ),
inference(avatar_component_clause,[],[f2397]) ).
fof(f2402,plain,
( ~ spl27_227
| spl27_160 ),
inference(avatar_split_clause,[],[f2395,f1593,f2397]) ).
fof(f1593,plain,
( spl27_160
<=> v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_160])]) ).
fof(f2395,plain,
( ~ l2_lattices(sK4)
| spl27_160 ),
inference(resolution,[],[f1595,f321]) ).
fof(f321,plain,
! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f1595,plain,
( ~ v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| spl27_160 ),
inference(avatar_component_clause,[],[f1593]) ).
fof(f2352,plain,
( ~ spl27_224
| spl27_158 ),
inference(avatar_split_clause,[],[f2350,f1585,f2337]) ).
fof(f2337,plain,
( spl27_224
<=> l1_lattices(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_224])]) ).
fof(f1585,plain,
( spl27_158
<=> v1_funct_1(u1_lattices(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_158])]) ).
fof(f2350,plain,
( ~ l1_lattices(sK4)
| spl27_158 ),
inference(resolution,[],[f1587,f274]) ).
fof(f274,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(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)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(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)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f1587,plain,
( ~ v1_funct_1(u1_lattices(sK4))
| spl27_158 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f2345,plain,
spl27_224,
inference(avatar_contradiction_clause,[],[f2344]) ).
fof(f2344,plain,
( $false
| spl27_224 ),
inference(resolution,[],[f2339,f439]) ).
fof(f439,plain,
l1_lattices(sK4),
inference(resolution,[],[f272,f241]) ).
fof(f272,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f2339,plain,
( ~ l1_lattices(sK4)
| spl27_224 ),
inference(avatar_component_clause,[],[f2337]) ).
fof(f2342,plain,
( ~ spl27_224
| spl27_157 ),
inference(avatar_split_clause,[],[f2335,f1581,f2337]) ).
fof(f1581,plain,
( spl27_157
<=> v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_157])]) ).
fof(f2335,plain,
( ~ l1_lattices(sK4)
| spl27_157 ),
inference(resolution,[],[f1583,f273]) ).
fof(f273,plain,
! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f1583,plain,
( ~ v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| spl27_157 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f2305,plain,
spl27_156,
inference(avatar_contradiction_clause,[],[f2303]) ).
fof(f2303,plain,
( $false
| spl27_156 ),
inference(resolution,[],[f2294,f439]) ).
fof(f2294,plain,
( ~ l1_lattices(sK4)
| spl27_156 ),
inference(resolution,[],[f1857,f1579]) ).
fof(f1579,plain,
( ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| spl27_156 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f1577,plain,
( spl27_156
<=> m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_156])]) ).
fof(f1857,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,[],[f324,f275]) ).
fof(f275,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,[],[f129]) ).
fof(f1962,plain,
( spl27_13
| ~ spl27_14
| ~ spl27_149
| spl27_189
| ~ spl27_103
| ~ spl27_116
| ~ spl27_165 ),
inference(avatar_split_clause,[],[f1956,f1637,f1095,f1025,f1960,f1305,f525,f521]) ).
fof(f1025,plain,
( spl27_103
<=> v15_lattices(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_103])]) ).
fof(f1637,plain,
( spl27_165
<=> ! [X2,X0,X1] :
( ~ v16_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_lattices(X0,X2,X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| ~ v15_lattices(X0)
| r2_lattices(sK4,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_165])]) ).
fof(f1956,plain,
( ! [X0,X1] :
( ~ v16_lattices(sK3)
| ~ v15_lattices(sK3)
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| ~ r2_lattices(sK3,X1,X0)
| r2_lattices(sK4,X1,X0)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| v3_struct_0(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) )
| ~ spl27_165 ),
inference(equality_resolution,[],[f1638]) ).
fof(f1638,plain,
( ! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4))
| v3_struct_0(X0)
| ~ r2_lattices(X0,X2,X1)
| ~ v16_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| r2_lattices(sK4,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl27_165 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f1774,plain,
spl27_167,
inference(avatar_contradiction_clause,[],[f1772]) ).
fof(f1772,plain,
( $false
| spl27_167 ),
inference(resolution,[],[f1731,f240]) ).
fof(f240,plain,
m1_subset_1(sK5,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f174]) ).
fof(f1731,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK3))
| spl27_167 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f1769,plain,
( spl27_145
| ~ spl27_102
| spl27_13
| ~ spl27_149 ),
inference(avatar_split_clause,[],[f1759,f1305,f521,f1021,f1276]) ).
fof(f1021,plain,
( spl27_102
<=> v17_lattices(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_102])]) ).
fof(f1759,plain,
( v3_struct_0(sK3)
| ~ v17_lattices(sK3)
| v11_lattices(sK3)
| ~ spl27_149 ),
inference(resolution,[],[f1306,f383]) ).
fof(f383,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ v17_lattices(X0)
| ( v11_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0)
& v16_lattices(X0)
& v15_lattices(X0) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( v11_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0)
& v16_lattices(X0)
& v15_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
=> ( v11_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0)
& v16_lattices(X0)
& v15_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f1306,plain,
( l3_lattices(sK3)
| ~ spl27_149 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1768,plain,
( spl27_116
| spl27_13
| ~ spl27_102
| ~ spl27_149 ),
inference(avatar_split_clause,[],[f1756,f1305,f1021,f521,f1095]) ).
fof(f1756,plain,
( ~ v17_lattices(sK3)
| v3_struct_0(sK3)
| v16_lattices(sK3)
| ~ spl27_149 ),
inference(resolution,[],[f1306,f379]) ).
fof(f379,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| v16_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f1765,plain,
( spl27_103
| ~ spl27_102
| spl27_13
| ~ spl27_149 ),
inference(avatar_split_clause,[],[f1755,f1305,f521,f1021,f1025]) ).
fof(f1755,plain,
( v3_struct_0(sK3)
| ~ v17_lattices(sK3)
| v15_lattices(sK3)
| ~ spl27_149 ),
inference(resolution,[],[f1306,f378]) ).
fof(f378,plain,
! [X0] :
( ~ l3_lattices(X0)
| v15_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f1746,plain,
spl27_149,
inference(avatar_contradiction_clause,[],[f1745]) ).
fof(f1745,plain,
( $false
| spl27_149 ),
inference(resolution,[],[f1307,f246]) ).
fof(f246,plain,
l3_lattices(sK3),
inference(cnf_transformation,[],[f174]) ).
fof(f1307,plain,
( ~ l3_lattices(sK3)
| spl27_149 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1639,plain,
( ~ spl27_119
| ~ spl27_148
| spl27_36
| ~ spl27_34
| ~ spl27_95
| spl27_165 ),
inference(avatar_split_clause,[],[f1630,f1637,f989,f613,f621,f1295,f1110]) ).
fof(f1110,plain,
( spl27_119
<=> v16_lattices(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_119])]) ).
fof(f1295,plain,
( spl27_148
<=> l3_lattices(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_148])]) ).
fof(f621,plain,
( spl27_36
<=> v3_struct_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_36])]) ).
fof(f613,plain,
( spl27_34
<=> v10_lattices(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_34])]) ).
fof(f989,plain,
( spl27_95
<=> v15_lattices(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_95])]) ).
fof(f1630,plain,
! [X2,X0,X1] :
( ~ v16_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(sK4))
| ~ m1_subset_1(X1,u1_struct_0(sK4))
| r2_lattices(sK4,X2,X1)
| ~ v15_lattices(X0)
| ~ v15_lattices(sK4)
| ~ v10_lattices(sK4)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| v3_struct_0(sK4)
| ~ r2_lattices(X0,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(sK4)
| v3_struct_0(X0)
| ~ v16_lattices(sK4) ),
inference(superposition,[],[f424,f242]) ).
fof(f242,plain,
g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) = g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)),
inference(cnf_transformation,[],[f174]) ).
fof(f424,plain,
! [X0,X1,X4,X5] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| r2_lattices(X1,X4,X5)
| ~ v15_lattices(X0)
| ~ v10_lattices(X1)
| ~ v16_lattices(X0)
| ~ v15_lattices(X1)
| ~ v10_lattices(X0)
| ~ r2_lattices(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ l3_lattices(X0)
| ~ v16_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1) ),
inference(equality_resolution,[],[f423]) ).
fof(f423,plain,
! [X3,X0,X1,X4,X5] :
( ~ v10_lattices(X0)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_lattices(X0,X4,X3)
| r2_lattices(X1,X4,X5)
| X3 != X5
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v16_lattices(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0) ),
inference(equality_resolution,[],[f373]) ).
fof(f373,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v10_lattices(X0)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| X2 != X4
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_lattices(X0,X2,X3)
| r2_lattices(X1,X4,X5)
| X3 != X5
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v16_lattices(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ~ v10_lattices(X0)
| ! [X1] :
( ~ v10_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ! [X5] :
( X2 != X4
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_lattices(X0,X2,X3)
| r2_lattices(X1,X4,X5)
| X3 != X5 )
| ~ m1_subset_1(X4,u1_struct_0(X1)) ) ) )
| ~ v16_lattices(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( r2_lattices(X1,X4,X5)
| X2 != X4
| ~ r2_lattices(X0,X2,X3)
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ v16_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v15_lattices(X1) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v15_lattices(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& v16_lattices(X0)
& l3_lattices(X0)
& v15_lattices(X0) )
=> ! [X1] :
( ( v16_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X1)
& v15_lattices(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X2 = X4
& r2_lattices(X0,X2,X3)
& X3 = X5 )
=> r2_lattices(X1,X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_filter_2) ).
fof(f1603,plain,
( ~ spl27_156
| ~ spl27_157
| ~ spl27_158
| ~ spl27_159
| ~ spl27_160
| ~ spl27_161
| spl27_162 ),
inference(avatar_split_clause,[],[f1571,f1601,f1597,f1593,f1589,f1585,f1581,f1577]) ).
fof(f1571,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u1_struct_0(sK4) = X0
| ~ v1_funct_1(u2_lattices(sK4))
| ~ v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_1(u1_lattices(sK4))
| ~ v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
inference(superposition,[],[f400,f242]) ).
fof(f400,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X2,X1,X0) != g3_lattices(X4,X3,X5)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| X2 = X4 ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ! [X3,X4,X5] :
( g3_lattices(X2,X1,X0) != g3_lattices(X4,X3,X5)
| ( X1 = X3
& X0 = X5
& X2 = X4 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(X2,X2),X2) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X2,X1,X0] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ! [X5,X3,X4] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X5,X4)
| ( X1 = X5
& X2 = X4
& X0 = X3 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X1,X0,X2] :
( ! [X5,X3,X4] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X5,X4)
| ( X1 = X5
& X2 = X4
& X0 = X3 ) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X1,X0,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X4,X5,X3] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X5,X4)
=> ( X1 = X5
& X2 = X4
& X0 = X3 ) ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3,X5,X4] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X1 = X4
& X0 = X3
& X2 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f1538,plain,
spl27_154,
inference(avatar_contradiction_clause,[],[f1536]) ).
fof(f1536,plain,
( $false
| spl27_154 ),
inference(resolution,[],[f1530,f421]) ).
fof(f421,plain,
m1_subset_1(sK5,u1_struct_0(sK4)),
inference(definition_unfolding,[],[f238,f239]) ).
fof(f239,plain,
sK6 = sK5,
inference(cnf_transformation,[],[f174]) ).
fof(f238,plain,
m1_subset_1(sK6,u1_struct_0(sK4)),
inference(cnf_transformation,[],[f174]) ).
fof(f1530,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK4))
| spl27_154 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1528,plain,
( spl27_154
<=> m1_subset_1(sK5,u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_154])]) ).
fof(f1534,plain,
( ~ spl27_143
| ~ spl27_154
| spl27_36
| ~ spl27_119
| ~ spl27_34
| spl27_155
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1521,f1295,f1532,f613,f1110,f621,f1528,f1266]) ).
fof(f1266,plain,
( spl27_143
<=> v11_lattices(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_143])]) ).
fof(f1521,plain,
! [X0] :
( ~ l3_lattices(sK4)
| k7_lattices(sK3,sK5) != X0
| ~ v10_lattices(sK4)
| ~ v16_lattices(sK4)
| ~ r2_lattices(sK4,X0,sK5)
| v3_struct_0(sK4)
| ~ m1_subset_1(sK5,u1_struct_0(sK4))
| ~ v11_lattices(sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK4)) ),
inference(superposition,[],[f422,f426]) ).
fof(f426,plain,
! [X2,X0,X1] :
( k7_lattices(X0,X1) = X2
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_lattices(X0,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v11_lattices(X0) ),
inference(duplicate_literal_removal,[],[f384]) ).
fof(f384,plain,
! [X2,X0,X1] :
( k7_lattices(X0,X1) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ r2_lattices(X0,X2,X1)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f219]) ).
fof(f422,plain,
k7_lattices(sK4,sK5) != k7_lattices(sK3,sK5),
inference(definition_unfolding,[],[f237,f239]) ).
fof(f237,plain,
k7_lattices(sK4,sK6) != k7_lattices(sK3,sK5),
inference(cnf_transformation,[],[f174]) ).
fof(f1465,plain,
( ~ spl27_94
| spl27_36
| spl27_119
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1454,f1295,f1110,f621,f985]) ).
fof(f985,plain,
( spl27_94
<=> v17_lattices(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_94])]) ).
fof(f1454,plain,
( v16_lattices(sK4)
| v3_struct_0(sK4)
| ~ v17_lattices(sK4)
| ~ spl27_148 ),
inference(resolution,[],[f1296,f379]) ).
fof(f1296,plain,
( l3_lattices(sK4)
| ~ spl27_148 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1462,plain,
( ~ spl27_94
| spl27_36
| spl27_95
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1453,f1295,f989,f621,f985]) ).
fof(f1453,plain,
( v15_lattices(sK4)
| v3_struct_0(sK4)
| ~ v17_lattices(sK4)
| ~ spl27_148 ),
inference(resolution,[],[f1296,f378]) ).
fof(f1461,plain,
( spl27_143
| ~ spl27_94
| spl27_36
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1457,f1295,f621,f985,f1266]) ).
fof(f1457,plain,
( v3_struct_0(sK4)
| ~ v17_lattices(sK4)
| v11_lattices(sK4)
| ~ spl27_148 ),
inference(resolution,[],[f1296,f383]) ).
fof(f1444,plain,
spl27_148,
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| spl27_148 ),
inference(resolution,[],[f1297,f241]) ).
fof(f1297,plain,
( ~ l3_lattices(sK4)
| spl27_148 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1301,plain,
spl27_102,
inference(avatar_contradiction_clause,[],[f1300]) ).
fof(f1300,plain,
( $false
| spl27_102 ),
inference(resolution,[],[f1023,f234]) ).
fof(f234,plain,
v17_lattices(sK3),
inference(cnf_transformation,[],[f174]) ).
fof(f1023,plain,
( ~ v17_lattices(sK3)
| spl27_102 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1291,plain,
spl27_94,
inference(avatar_contradiction_clause,[],[f1290]) ).
fof(f1290,plain,
( $false
| spl27_94 ),
inference(resolution,[],[f987,f245]) ).
fof(f245,plain,
v17_lattices(sK4),
inference(cnf_transformation,[],[f174]) ).
fof(f987,plain,
( ~ v17_lattices(sK4)
| spl27_94 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f765,plain,
~ spl27_36,
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f764,plain,
( $false
| ~ spl27_36 ),
inference(resolution,[],[f623,f244]) ).
fof(f244,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f174]) ).
fof(f623,plain,
( v3_struct_0(sK4)
| ~ spl27_36 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f763,plain,
spl27_34,
inference(avatar_contradiction_clause,[],[f762]) ).
fof(f762,plain,
( $false
| spl27_34 ),
inference(resolution,[],[f615,f243]) ).
fof(f243,plain,
v10_lattices(sK4),
inference(cnf_transformation,[],[f174]) ).
fof(f615,plain,
( ~ v10_lattices(sK4)
| spl27_34 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f641,plain,
~ spl27_13,
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f640,plain,
( $false
| ~ spl27_13 ),
inference(resolution,[],[f523,f235]) ).
fof(f235,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f174]) ).
fof(f523,plain,
( v3_struct_0(sK3)
| ~ spl27_13 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f639,plain,
spl27_14,
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f638,plain,
( $false
| spl27_14 ),
inference(resolution,[],[f527,f236]) ).
fof(f236,plain,
v10_lattices(sK3),
inference(cnf_transformation,[],[f174]) ).
fof(f527,plain,
( ~ v10_lattices(sK3)
| spl27_14 ),
inference(avatar_component_clause,[],[f525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT296+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 01:29:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 % (21773)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.55 % (21783)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.56 % (21790)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56 % (21791)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.56 % (21772)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.56 % (21774)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.57 % (21789)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.57 % (21783)Instruction limit reached!
% 0.19/0.57 % (21783)------------------------------
% 0.19/0.57 % (21783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (21792)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.57 % (21781)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57 % (21784)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57 % (21798)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.58 % (21797)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.58 % (21783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (21783)Termination reason: Unknown
% 0.19/0.58 % (21783)Termination phase: Preprocessing 3
% 0.19/0.58
% 0.19/0.58 % (21783)Memory used [KB]: 1535
% 0.19/0.58 % (21783)Time elapsed: 0.004 s
% 0.19/0.58 % (21783)Instructions burned: 3 (million)
% 0.19/0.58 % (21783)------------------------------
% 0.19/0.58 % (21783)------------------------------
% 0.19/0.58 % (21775)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.58 % (21774)Refutation not found, incomplete strategy% (21774)------------------------------
% 0.19/0.58 % (21774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (21774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (21774)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.58
% 0.19/0.58 % (21774)Memory used [KB]: 6140
% 0.19/0.58 % (21774)Time elapsed: 0.141 s
% 0.19/0.58 % (21774)Instructions burned: 9 (million)
% 0.19/0.58 % (21774)------------------------------
% 0.19/0.58 % (21774)------------------------------
% 0.19/0.58 % (21780)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.59 % (21772)Refutation not found, incomplete strategy% (21772)------------------------------
% 0.19/0.59 % (21772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (21772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (21772)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.59
% 0.19/0.59 % (21772)Memory used [KB]: 6268
% 0.19/0.59 % (21772)Time elapsed: 0.189 s
% 0.19/0.59 % (21772)Instructions burned: 8 (million)
% 0.19/0.59 % (21772)------------------------------
% 0.19/0.59 % (21772)------------------------------
% 0.19/0.59 % (21784)Instruction limit reached!
% 0.19/0.59 % (21784)------------------------------
% 0.19/0.59 % (21784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (21773)Instruction limit reached!
% 0.19/0.59 % (21773)------------------------------
% 0.19/0.59 % (21773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (21773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (21773)Termination reason: Unknown
% 0.19/0.59 % (21773)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (21773)Memory used [KB]: 1791
% 0.19/0.59 % (21773)Time elapsed: 0.167 s
% 0.19/0.59 % (21773)Instructions burned: 15 (million)
% 0.19/0.59 % (21773)------------------------------
% 0.19/0.59 % (21773)------------------------------
% 0.19/0.60 % (21784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (21784)Termination reason: Unknown
% 0.19/0.60 % (21784)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (21784)Memory used [KB]: 6140
% 0.19/0.60 % (21784)Time elapsed: 0.012 s
% 0.19/0.60 % (21784)Instructions burned: 7 (million)
% 0.19/0.60 % (21784)------------------------------
% 0.19/0.60 % (21784)------------------------------
% 0.19/0.60 % (21797)Instruction limit reached!
% 0.19/0.60 % (21797)------------------------------
% 0.19/0.60 % (21797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (21797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (21797)Termination reason: Unknown
% 0.19/0.60 % (21797)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (21797)Memory used [KB]: 1791
% 0.19/0.60 % (21797)Time elapsed: 0.005 s
% 0.19/0.60 % (21797)Instructions burned: 9 (million)
% 0.19/0.60 % (21797)------------------------------
% 0.19/0.60 % (21797)------------------------------
% 0.19/0.60 % (21770)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.60 % (21780)Refutation not found, incomplete strategy% (21780)------------------------------
% 0.19/0.60 % (21780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (21780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (21780)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.60
% 0.19/0.60 % (21780)Memory used [KB]: 1918
% 0.19/0.60 % (21780)Time elapsed: 0.189 s
% 0.19/0.60 % (21780)Instructions burned: 14 (million)
% 0.19/0.60 % (21780)------------------------------
% 0.19/0.60 % (21780)------------------------------
% 1.79/0.61 % (21798)Instruction limit reached!
% 1.79/0.61 % (21798)------------------------------
% 1.79/0.61 % (21798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61 % (21798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61 % (21798)Termination reason: Unknown
% 1.79/0.61 % (21798)Termination phase: Saturation
% 1.79/0.61
% 1.79/0.61 % (21798)Memory used [KB]: 6396
% 1.79/0.61 % (21798)Time elapsed: 0.202 s
% 1.79/0.61 % (21798)Instructions burned: 24 (million)
% 1.79/0.61 % (21798)------------------------------
% 1.79/0.61 % (21798)------------------------------
% 1.79/0.62 % (21795)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.79/0.62 % (21769)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.79/0.62 % (21771)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.79/0.62 % (21770)Instruction limit reached!
% 1.79/0.62 % (21770)------------------------------
% 1.79/0.62 % (21770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.62 % (21770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62 % (21770)Termination reason: Unknown
% 1.79/0.62 % (21770)Termination phase: Naming
% 1.79/0.62
% 1.79/0.62 % (21770)Memory used [KB]: 1535
% 1.79/0.62 % (21770)Time elapsed: 0.004 s
% 1.79/0.62 % (21770)Instructions burned: 3 (million)
% 1.79/0.62 % (21770)------------------------------
% 1.79/0.62 % (21770)------------------------------
% 2.13/0.62 % (21787)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.13/0.62 % (21787)Instruction limit reached!
% 2.13/0.62 % (21787)------------------------------
% 2.13/0.62 % (21787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.62 % (21787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.62 % (21787)Termination reason: Unknown
% 2.13/0.62 % (21787)Termination phase: Preprocessing 1
% 2.13/0.62
% 2.13/0.62 % (21787)Memory used [KB]: 1407
% 2.13/0.62 % (21787)Time elapsed: 0.003 s
% 2.13/0.62 % (21787)Instructions burned: 2 (million)
% 2.13/0.62 % (21787)------------------------------
% 2.13/0.62 % (21787)------------------------------
% 2.13/0.63 % (21778)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 2.13/0.63 % (21786)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.13/0.63 % (21796)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 2.13/0.63 % (21789)Instruction limit reached!
% 2.13/0.63 % (21789)------------------------------
% 2.13/0.63 % (21789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63 % (21789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63 % (21789)Termination reason: Unknown
% 2.13/0.63 % (21789)Termination phase: Saturation
% 2.13/0.63
% 2.13/0.63 % (21789)Memory used [KB]: 6780
% 2.13/0.63 % (21789)Time elapsed: 0.234 s
% 2.13/0.63 % (21789)Instructions burned: 30 (million)
% 2.13/0.63 % (21789)------------------------------
% 2.13/0.63 % (21789)------------------------------
% 2.13/0.63 % (21768)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 2.13/0.63 % (21777)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 2.13/0.63 % (21788)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 2.13/0.64 % (21794)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 2.13/0.64 % (21779)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.13/0.64 % (21775)Instruction limit reached!
% 2.13/0.64 % (21775)------------------------------
% 2.13/0.64 % (21775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (21775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64 % (21775)Termination reason: Unknown
% 2.13/0.64 % (21775)Termination phase: Saturation
% 2.13/0.64
% 2.13/0.64 % (21775)Memory used [KB]: 6780
% 2.13/0.64 % (21775)Time elapsed: 0.140 s
% 2.13/0.64 % (21775)Instructions burned: 39 (million)
% 2.13/0.64 % (21775)------------------------------
% 2.13/0.64 % (21775)------------------------------
% 2.13/0.64 % (21776)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 2.13/0.64 % (21792)Instruction limit reached!
% 2.13/0.64 % (21792)------------------------------
% 2.13/0.64 % (21792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (21792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64 % (21792)Termination reason: Unknown
% 2.13/0.64 % (21792)Termination phase: Saturation
% 2.13/0.64
% 2.13/0.64 % (21792)Memory used [KB]: 2174
% 2.13/0.64 % (21792)Time elapsed: 0.150 s
% 2.13/0.64 % (21792)Instructions burned: 45 (million)
% 2.13/0.64 % (21792)------------------------------
% 2.13/0.64 % (21792)------------------------------
% 2.13/0.64 % (21779)Instruction limit reached!
% 2.13/0.64 % (21779)------------------------------
% 2.13/0.64 % (21779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (21779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64 % (21779)Termination reason: Unknown
% 2.13/0.64 % (21779)Termination phase: Saturation
% 2.13/0.64
% 2.13/0.64 % (21779)Memory used [KB]: 6140
% 2.13/0.64 % (21779)Time elapsed: 0.007 s
% 2.13/0.64 % (21779)Instructions burned: 7 (million)
% 2.13/0.64 % (21779)------------------------------
% 2.13/0.64 % (21779)------------------------------
% 2.13/0.65 % (21793)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.13/0.65 % (21769)Instruction limit reached!
% 2.13/0.65 % (21769)------------------------------
% 2.13/0.65 % (21769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.65 % (21769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.65 % (21769)Termination reason: Unknown
% 2.13/0.65 % (21769)Termination phase: Saturation
% 2.13/0.65
% 2.13/0.65 % (21769)Memory used [KB]: 6268
% 2.13/0.65 % (21769)Time elapsed: 0.226 s
% 2.13/0.65 % (21769)Instructions burned: 13 (million)
% 2.13/0.65 % (21769)------------------------------
% 2.13/0.65 % (21769)------------------------------
% 2.13/0.65 % (21786)Instruction limit reached!
% 2.13/0.65 % (21786)------------------------------
% 2.13/0.65 % (21786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.65 % (21786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.65 % (21786)Termination reason: Unknown
% 2.13/0.65 % (21786)Termination phase: Preprocessing 3
% 2.13/0.65
% 2.13/0.65 % (21786)Memory used [KB]: 1535
% 2.13/0.65 % (21786)Time elapsed: 0.004 s
% 2.13/0.65 % (21786)Instructions burned: 4 (million)
% 2.13/0.65 % (21786)------------------------------
% 2.13/0.65 % (21786)------------------------------
% 2.13/0.65 % (21785)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.13/0.65 % (21778)Instruction limit reached!
% 2.13/0.65 % (21778)------------------------------
% 2.13/0.65 % (21778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.66 % (21778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.66 % (21778)Termination reason: Unknown
% 2.13/0.66 % (21778)Termination phase: Saturation
% 2.13/0.66
% 2.13/0.66 % (21778)Memory used [KB]: 6268
% 2.13/0.66 % (21778)Time elapsed: 0.233 s
% 2.13/0.66 % (21778)Instructions burned: 12 (million)
% 2.13/0.66 % (21778)------------------------------
% 2.13/0.66 % (21778)------------------------------
% 2.26/0.66 % (21788)Instruction limit reached!
% 2.26/0.66 % (21788)------------------------------
% 2.26/0.66 % (21788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.66 % (21788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.66 % (21788)Termination reason: Unknown
% 2.26/0.66 % (21788)Termination phase: Saturation
% 2.26/0.66
% 2.26/0.66 % (21788)Memory used [KB]: 6396
% 2.26/0.66 % (21788)Time elapsed: 0.241 s
% 2.26/0.66 % (21788)Instructions burned: 11 (million)
% 2.26/0.66 % (21788)------------------------------
% 2.26/0.66 % (21788)------------------------------
% 2.26/0.69 % (21781)Instruction limit reached!
% 2.26/0.69 % (21781)------------------------------
% 2.26/0.69 % (21781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.70 % (21781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.70 % (21781)Termination reason: Unknown
% 2.26/0.70 % (21781)Termination phase: Saturation
% 2.26/0.70
% 2.26/0.70 % (21781)Memory used [KB]: 7803
% 2.26/0.70 % (21781)Time elapsed: 0.233 s
% 2.26/0.70 % (21781)Instructions burned: 51 (million)
% 2.26/0.70 % (21781)------------------------------
% 2.26/0.70 % (21781)------------------------------
% 2.26/0.71 % (21796)Instruction limit reached!
% 2.26/0.71 % (21796)------------------------------
% 2.26/0.71 % (21796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.71 % (21777)Instruction limit reached!
% 2.26/0.71 % (21777)------------------------------
% 2.26/0.71 % (21777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.71 % (21796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.71 % (21796)Termination reason: Unknown
% 2.26/0.71 % (21796)Termination phase: Saturation
% 2.26/0.71
% 2.26/0.71 % (21796)Memory used [KB]: 6652
% 2.26/0.71 % (21796)Time elapsed: 0.269 s
% 2.26/0.71 % (21796)Instructions burned: 26 (million)
% 2.26/0.71 % (21796)------------------------------
% 2.26/0.71 % (21796)------------------------------
% 2.26/0.72 % (21791)First to succeed.
% 2.26/0.73 % (21777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.73 % (21777)Termination reason: Unknown
% 2.26/0.73 % (21777)Termination phase: Saturation
% 2.26/0.73
% 2.26/0.73 % (21777)Memory used [KB]: 6524
% 2.26/0.73 % (21777)Time elapsed: 0.293 s
% 2.26/0.73 % (21777)Instructions burned: 33 (million)
% 2.26/0.73 % (21777)------------------------------
% 2.26/0.73 % (21777)------------------------------
% 2.56/0.74 % (21791)Refutation found. Thanks to Tanya!
% 2.56/0.74 % SZS status Theorem for theBenchmark
% 2.56/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.56/0.74 % (21791)------------------------------
% 2.56/0.74 % (21791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.74 % (21791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.74 % (21791)Termination reason: Refutation
% 2.56/0.74
% 2.56/0.74 % (21791)Memory used [KB]: 8059
% 2.56/0.74 % (21791)Time elapsed: 0.297 s
% 2.56/0.74 % (21791)Instructions burned: 79 (million)
% 2.56/0.74 % (21791)------------------------------
% 2.56/0.74 % (21791)------------------------------
% 2.56/0.74 % (21767)Success in time 0.399 s
%------------------------------------------------------------------------------