TSTP Solution File: LAT337+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT337+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 17:34:22 EDT 2022
% Result : Theorem 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 31
% Syntax : Number of formulae : 138 ( 15 unt; 0 def)
% Number of atoms : 798 ( 0 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 1036 ( 376 ~; 394 |; 218 &)
% ( 20 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 42 ( 41 usr; 21 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 103 ( 88 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f611,plain,
$false,
inference(avatar_sat_refutation,[],[f422,f460,f466,f468,f471,f474,f502,f515,f517,f523,f525,f527,f531,f545,f548,f561,f572,f574,f578,f606,f609]) ).
fof(f609,plain,
( ~ spl25_8
| ~ spl25_30
| ~ spl25_13
| spl25_29
| spl25_10
| ~ spl25_1 ),
inference(avatar_split_clause,[],[f608,f407,f445,f565,f457,f569,f437]) ).
fof(f437,plain,
( spl25_8
<=> l3_lattices(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).
fof(f569,plain,
( spl25_30
<=> m2_lattice4(k22_filter_2(sK17,sK18,sK19),sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_30])]) ).
fof(f457,plain,
( spl25_13
<=> v10_lattices(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).
fof(f565,plain,
( spl25_29
<=> v1_xboole_0(k22_filter_2(sK17,sK18,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_29])]) ).
fof(f445,plain,
( spl25_10
<=> v3_struct_0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).
fof(f407,plain,
( spl25_1
<=> v3_struct_0(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
fof(f608,plain,
( v3_struct_0(sK17)
| v1_xboole_0(k22_filter_2(sK17,sK18,sK19))
| ~ v10_lattices(sK17)
| ~ m2_lattice4(k22_filter_2(sK17,sK18,sK19),sK17)
| ~ l3_lattices(sK17)
| ~ spl25_1 ),
inference(resolution,[],[f409,f369]) ).
fof(f369,plain,
! [X0,X1] :
( ~ v3_struct_0(k23_filter_2(X1,X0))
| ~ m2_lattice4(X0,X1)
| v1_xboole_0(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( v7_lattices(k23_filter_2(X1,X0))
& v6_lattices(k23_filter_2(X1,X0))
& v5_lattices(k23_filter_2(X1,X0))
& v10_lattices(k23_filter_2(X1,X0))
& v4_lattices(k23_filter_2(X1,X0))
& v8_lattices(k23_filter_2(X1,X0))
& v9_lattices(k23_filter_2(X1,X0))
& ~ v3_struct_0(k23_filter_2(X1,X0))
& v3_lattices(k23_filter_2(X1,X0)) )
| ~ v10_lattices(X1)
| v1_xboole_0(X0)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ m2_lattice4(X0,X1) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( v7_lattices(k23_filter_2(X1,X0))
& v6_lattices(k23_filter_2(X1,X0))
& v5_lattices(k23_filter_2(X1,X0))
& v10_lattices(k23_filter_2(X1,X0))
& v4_lattices(k23_filter_2(X1,X0))
& v8_lattices(k23_filter_2(X1,X0))
& v9_lattices(k23_filter_2(X1,X0))
& ~ v3_struct_0(k23_filter_2(X1,X0))
& v3_lattices(k23_filter_2(X1,X0)) )
| ~ m2_lattice4(X0,X1)
| v1_xboole_0(X0)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( m2_lattice4(X0,X1)
& ~ v1_xboole_0(X0)
& l3_lattices(X1)
& ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( v7_lattices(k23_filter_2(X1,X0))
& v6_lattices(k23_filter_2(X1,X0))
& v5_lattices(k23_filter_2(X1,X0))
& v10_lattices(k23_filter_2(X1,X0))
& v4_lattices(k23_filter_2(X1,X0))
& v8_lattices(k23_filter_2(X1,X0))
& v9_lattices(k23_filter_2(X1,X0))
& ~ v3_struct_0(k23_filter_2(X1,X0))
& v3_lattices(k23_filter_2(X1,X0)) ) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X1,X0] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1)
& l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( v4_lattices(k23_filter_2(X0,X1))
& v3_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& ~ v3_struct_0(k23_filter_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_filter_2) ).
fof(f409,plain,
( v3_struct_0(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f606,plain,
( ~ spl25_8
| spl25_10
| ~ spl25_12
| ~ spl25_7
| ~ spl25_13
| ~ spl25_29 ),
inference(avatar_split_clause,[],[f605,f565,f457,f433,f453,f445,f437]) ).
fof(f453,plain,
( spl25_12
<=> m1_subset_1(sK19,u1_struct_0(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).
fof(f433,plain,
( spl25_7
<=> m1_subset_1(sK18,u1_struct_0(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).
fof(f605,plain,
( ~ v10_lattices(sK17)
| ~ m1_subset_1(sK18,u1_struct_0(sK17))
| ~ m1_subset_1(sK19,u1_struct_0(sK17))
| v3_struct_0(sK17)
| ~ l3_lattices(sK17)
| ~ spl25_29 ),
inference(resolution,[],[f567,f394]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X0,X2,X1] :
( v3_struct_0(X0)
| ( ~ v1_xboole_0(k22_filter_2(X0,X2,X1))
& m2_lattice4(k22_filter_2(X0,X2,X1),X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X1,X0,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X2,X1))
& m2_lattice4(k22_filter_2(X0,X2,X1),X0) )
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,plain,
! [X1,X0,X2] :
( ( l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& ~ v3_struct_0(X0)
& m1_subset_1(X2,u1_struct_0(X0))
& v10_lattices(X0) )
=> ( ~ v1_xboole_0(k22_filter_2(X0,X2,X1))
& m2_lattice4(k22_filter_2(X0,X2,X1),X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X2,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(f567,plain,
( v1_xboole_0(k22_filter_2(sK17,sK18,sK19))
| ~ spl25_29 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f578,plain,
( ~ spl25_30
| spl25_29
| ~ spl25_13
| spl25_10
| ~ spl25_8
| spl25_4 ),
inference(avatar_split_clause,[],[f576,f419,f437,f445,f457,f565,f569]) ).
fof(f419,plain,
( spl25_4
<=> v10_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).
fof(f576,plain,
( ~ l3_lattices(sK17)
| v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| v1_xboole_0(k22_filter_2(sK17,sK18,sK19))
| ~ m2_lattice4(k22_filter_2(sK17,sK18,sK19),sK17)
| spl25_4 ),
inference(resolution,[],[f421,f373]) ).
fof(f373,plain,
! [X0,X1] :
( v10_lattices(k23_filter_2(X1,X0))
| v3_struct_0(X1)
| v1_xboole_0(X0)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X0,X1)
| ~ v10_lattices(X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f421,plain,
( ~ v10_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| spl25_4 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f574,plain,
( ~ spl25_12
| ~ spl25_7
| spl25_10
| ~ spl25_13
| ~ spl25_8
| spl25_30 ),
inference(avatar_split_clause,[],[f573,f569,f437,f457,f445,f433,f453]) ).
fof(f573,plain,
( ~ l3_lattices(sK17)
| ~ v10_lattices(sK17)
| v3_struct_0(sK17)
| ~ m1_subset_1(sK18,u1_struct_0(sK17))
| ~ m1_subset_1(sK19,u1_struct_0(sK17))
| spl25_30 ),
inference(resolution,[],[f571,f393]) ).
fof(f393,plain,
! [X2,X0,X1] :
( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f571,plain,
( ~ m2_lattice4(k22_filter_2(sK17,sK18,sK19),sK17)
| spl25_30 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f572,plain,
( spl25_29
| spl25_10
| ~ spl25_8
| ~ spl25_30
| ~ spl25_13
| ~ spl25_23
| spl25_26 ),
inference(avatar_split_clause,[],[f562,f542,f520,f457,f569,f437,f445,f565]) ).
fof(f520,plain,
( spl25_23
<=> v11_lattices(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_23])]) ).
fof(f542,plain,
( spl25_26
<=> v11_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_26])]) ).
fof(f562,plain,
( ~ v11_lattices(sK17)
| ~ v10_lattices(sK17)
| ~ m2_lattice4(k22_filter_2(sK17,sK18,sK19),sK17)
| ~ l3_lattices(sK17)
| v3_struct_0(sK17)
| v1_xboole_0(k22_filter_2(sK17,sK18,sK19))
| spl25_26 ),
inference(resolution,[],[f544,f314]) ).
fof(f314,plain,
! [X0,X1] :
( v11_lattices(k23_filter_2(X0,X1))
| v1_xboole_0(X1)
| ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ! [X1] :
( ~ v11_lattices(X0)
| v11_lattices(k23_filter_2(X0,X1))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| ~ v10_lattices(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( v11_lattices(k23_filter_2(X0,X1))
| ~ v11_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( v11_lattices(X0)
=> v11_lattices(k23_filter_2(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_filter_2) ).
fof(f544,plain,
( ~ v11_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| spl25_26 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f561,plain,
( ~ spl25_12
| ~ spl25_8
| ~ spl25_11
| ~ spl25_7
| ~ spl25_9
| ~ spl25_6
| ~ spl25_5
| ~ spl25_13
| spl25_10
| spl25_25 ),
inference(avatar_split_clause,[],[f549,f538,f445,f457,f425,f429,f441,f433,f449,f437,f453]) ).
fof(f449,plain,
( spl25_11
<=> v12_lattices(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).
fof(f441,plain,
( spl25_9
<=> r3_lattices(sK17,sK18,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).
fof(f429,plain,
( spl25_6
<=> v15_lattices(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).
fof(f425,plain,
( spl25_5
<=> v16_lattices(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).
fof(f538,plain,
( spl25_25
<=> v15_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_25])]) ).
fof(f549,plain,
( v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| ~ v16_lattices(sK17)
| ~ v15_lattices(sK17)
| ~ r3_lattices(sK17,sK18,sK19)
| ~ m1_subset_1(sK18,u1_struct_0(sK17))
| ~ v12_lattices(sK17)
| ~ l3_lattices(sK17)
| ~ m1_subset_1(sK19,u1_struct_0(sK17))
| spl25_25 ),
inference(resolution,[],[f540,f404]) ).
fof(f404,plain,
! [X2,X0,X1] :
( v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v10_lattices(X0)
| ~ v12_lattices(X0)
| ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f364]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v10_lattices(X0)
| ~ v10_lattices(X0)
| ~ v12_lattices(X0)
| ~ l3_lattices(X0)
| v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ v12_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
| ~ v16_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ v15_lattices(X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
| ~ l3_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ v12_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( l3_lattices(X0)
& r3_lattices(X0,X1,X2)
& v12_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_filter_2) ).
fof(f540,plain,
( ~ v15_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| spl25_25 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f548,plain,
( spl25_10
| ~ spl25_13
| ~ spl25_6
| ~ spl25_5
| ~ spl25_11
| ~ spl25_9
| ~ spl25_12
| ~ spl25_8
| ~ spl25_7
| spl25_24 ),
inference(avatar_split_clause,[],[f546,f534,f433,f437,f453,f441,f449,f425,f429,f457,f445]) ).
fof(f534,plain,
( spl25_24
<=> v16_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_24])]) ).
fof(f546,plain,
( ~ m1_subset_1(sK18,u1_struct_0(sK17))
| ~ l3_lattices(sK17)
| ~ m1_subset_1(sK19,u1_struct_0(sK17))
| ~ r3_lattices(sK17,sK18,sK19)
| ~ v12_lattices(sK17)
| ~ v16_lattices(sK17)
| ~ v15_lattices(sK17)
| ~ v10_lattices(sK17)
| v3_struct_0(sK17)
| spl25_24 ),
inference(resolution,[],[f536,f402]) ).
fof(f402,plain,
! [X2,X0,X1] :
( v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ v16_lattices(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f366]) ).
fof(f366,plain,
! [X2,X0,X1] :
( ~ v16_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f536,plain,
( ~ v16_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| spl25_24 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f545,plain,
( ~ spl25_2
| ~ spl25_24
| ~ spl25_25
| ~ spl25_26
| spl25_1
| spl25_3 ),
inference(avatar_split_clause,[],[f532,f415,f407,f542,f538,f534,f411]) ).
fof(f411,plain,
( spl25_2
<=> l3_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).
fof(f415,plain,
( spl25_3
<=> v17_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).
fof(f532,plain,
( v3_struct_0(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| ~ v11_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| ~ v15_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| ~ v16_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| ~ l3_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| spl25_3 ),
inference(resolution,[],[f417,f326]) ).
fof(f326,plain,
! [X0] :
( v17_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ v11_lattices(X0)
| ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v16_lattices(X0)
& v11_lattices(X0)
& v15_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f417,plain,
( ~ v17_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| spl25_3 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f531,plain,
spl25_12,
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f528,plain,
( $false
| spl25_12 ),
inference(resolution,[],[f455,f341]) ).
fof(f341,plain,
m1_subset_1(sK19,u1_struct_0(sK17)),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( l3_lattices(sK17)
& ~ v3_struct_0(sK17)
& m1_subset_1(sK18,u1_struct_0(sK17))
& v10_lattices(sK17)
& m1_subset_1(sK19,u1_struct_0(sK17))
& ~ v3_struct_0(sK17)
& v17_lattices(sK17)
& r3_lattices(sK17,sK18,sK19)
& ( ~ v10_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| ~ v17_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| v3_struct_0(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| ~ l3_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19))) )
& l3_lattices(sK17)
& v10_lattices(sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f147,f209,f208,f207]) ).
fof(f207,plain,
( ? [X0] :
( l3_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( v10_lattices(X0)
& m1_subset_1(X2,u1_struct_0(X0))
& ~ v3_struct_0(X0)
& v17_lattices(X0)
& r3_lattices(X0,X1,X2)
& ( ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
& l3_lattices(X0) ) )
& v10_lattices(X0) )
=> ( l3_lattices(sK17)
& ~ v3_struct_0(sK17)
& ? [X1] :
( m1_subset_1(X1,u1_struct_0(sK17))
& ? [X2] :
( v10_lattices(sK17)
& m1_subset_1(X2,u1_struct_0(sK17))
& ~ v3_struct_0(sK17)
& v17_lattices(sK17)
& r3_lattices(sK17,X1,X2)
& ( ~ v10_lattices(k23_filter_2(sK17,k22_filter_2(sK17,X1,X2)))
| ~ v17_lattices(k23_filter_2(sK17,k22_filter_2(sK17,X1,X2)))
| v3_struct_0(k23_filter_2(sK17,k22_filter_2(sK17,X1,X2)))
| ~ l3_lattices(k23_filter_2(sK17,k22_filter_2(sK17,X1,X2))) )
& l3_lattices(sK17) ) )
& v10_lattices(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
( ? [X1] :
( m1_subset_1(X1,u1_struct_0(sK17))
& ? [X2] :
( v10_lattices(sK17)
& m1_subset_1(X2,u1_struct_0(sK17))
& ~ v3_struct_0(sK17)
& v17_lattices(sK17)
& r3_lattices(sK17,X1,X2)
& ( ~ v10_lattices(k23_filter_2(sK17,k22_filter_2(sK17,X1,X2)))
| ~ v17_lattices(k23_filter_2(sK17,k22_filter_2(sK17,X1,X2)))
| v3_struct_0(k23_filter_2(sK17,k22_filter_2(sK17,X1,X2)))
| ~ l3_lattices(k23_filter_2(sK17,k22_filter_2(sK17,X1,X2))) )
& l3_lattices(sK17) ) )
=> ( m1_subset_1(sK18,u1_struct_0(sK17))
& ? [X2] :
( v10_lattices(sK17)
& m1_subset_1(X2,u1_struct_0(sK17))
& ~ v3_struct_0(sK17)
& v17_lattices(sK17)
& r3_lattices(sK17,sK18,X2)
& ( ~ v10_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,X2)))
| ~ v17_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,X2)))
| v3_struct_0(k23_filter_2(sK17,k22_filter_2(sK17,sK18,X2)))
| ~ l3_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,X2))) )
& l3_lattices(sK17) ) ) ),
introduced(choice_axiom,[]) ).
fof(f209,plain,
( ? [X2] :
( v10_lattices(sK17)
& m1_subset_1(X2,u1_struct_0(sK17))
& ~ v3_struct_0(sK17)
& v17_lattices(sK17)
& r3_lattices(sK17,sK18,X2)
& ( ~ v10_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,X2)))
| ~ v17_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,X2)))
| v3_struct_0(k23_filter_2(sK17,k22_filter_2(sK17,sK18,X2)))
| ~ l3_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,X2))) )
& l3_lattices(sK17) )
=> ( v10_lattices(sK17)
& m1_subset_1(sK19,u1_struct_0(sK17))
& ~ v3_struct_0(sK17)
& v17_lattices(sK17)
& r3_lattices(sK17,sK18,sK19)
& ( ~ v10_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| ~ v17_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| v3_struct_0(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| ~ l3_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19))) )
& l3_lattices(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
? [X0] :
( l3_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( v10_lattices(X0)
& m1_subset_1(X2,u1_struct_0(X0))
& ~ v3_struct_0(X0)
& v17_lattices(X0)
& r3_lattices(X0,X1,X2)
& ( ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
& l3_lattices(X0) ) )
& v10_lattices(X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& r3_lattices(X0,X1,X2)
& v17_lattices(X0)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& r3_lattices(X0,X1,X2)
& v17_lattices(X0) )
=> ( v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& r3_lattices(X0,X1,X2)
& v17_lattices(X0) )
=> ( v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t87_filter_2) ).
fof(f455,plain,
( ~ m1_subset_1(sK19,u1_struct_0(sK17))
| spl25_12 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f527,plain,
~ spl25_10,
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f526,plain,
( $false
| ~ spl25_10 ),
inference(resolution,[],[f447,f340]) ).
fof(f340,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f210]) ).
fof(f447,plain,
( v3_struct_0(sK17)
| ~ spl25_10 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f525,plain,
( ~ spl25_14
| spl25_10
| ~ spl25_8
| spl25_23 ),
inference(avatar_split_clause,[],[f524,f520,f437,f445,f463]) ).
fof(f463,plain,
( spl25_14
<=> v17_lattices(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_14])]) ).
fof(f524,plain,
( ~ l3_lattices(sK17)
| v3_struct_0(sK17)
| ~ v17_lattices(sK17)
| spl25_23 ),
inference(resolution,[],[f522,f293]) ).
fof(f293,plain,
! [X0] :
( v11_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ( ~ v3_struct_0(X0)
& v15_lattices(X0)
& v13_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0)
& v14_lattices(X0) ) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v15_lattices(X0)
& v13_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0)
& v14_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) )
=> ( ~ v3_struct_0(X0)
& v15_lattices(X0)
& v13_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0)
& v14_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f522,plain,
( ~ v11_lattices(sK17)
| spl25_23 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f523,plain,
( ~ spl25_8
| ~ spl25_13
| ~ spl25_23
| spl25_10
| spl25_11 ),
inference(avatar_split_clause,[],[f518,f449,f445,f520,f457,f437]) ).
fof(f518,plain,
( v3_struct_0(sK17)
| ~ v11_lattices(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl25_11 ),
inference(resolution,[],[f451,f385]) ).
fof(f385,plain,
! [X0] :
( v12_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( v8_lattices(X0)
& v6_lattices(X0)
& v9_lattices(X0)
& v7_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0)
& ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0) )
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( v8_lattices(X0)
& v6_lattices(X0)
& v9_lattices(X0)
& v7_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0)
& ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& v11_lattices(X0) )
=> ( v8_lattices(X0)
& v6_lattices(X0)
& v9_lattices(X0)
& v7_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0)
& ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc7_lattices) ).
fof(f451,plain,
( ~ v12_lattices(sK17)
| spl25_11 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f517,plain,
spl25_9,
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| spl25_9 ),
inference(resolution,[],[f443,f338]) ).
fof(f338,plain,
r3_lattices(sK17,sK18,sK19),
inference(cnf_transformation,[],[f210]) ).
fof(f443,plain,
( ~ r3_lattices(sK17,sK18,sK19)
| spl25_9 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f515,plain,
spl25_7,
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| spl25_7 ),
inference(resolution,[],[f435,f343]) ).
fof(f343,plain,
m1_subset_1(sK18,u1_struct_0(sK17)),
inference(cnf_transformation,[],[f210]) ).
fof(f435,plain,
( ~ m1_subset_1(sK18,u1_struct_0(sK17))
| spl25_7 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f502,plain,
( spl25_10
| ~ spl25_14
| ~ spl25_8
| spl25_6 ),
inference(avatar_split_clause,[],[f500,f429,f437,f463,f445]) ).
fof(f500,plain,
( ~ l3_lattices(sK17)
| ~ v17_lattices(sK17)
| v3_struct_0(sK17)
| spl25_6 ),
inference(resolution,[],[f431,f296]) ).
fof(f296,plain,
! [X0] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f431,plain,
( ~ v15_lattices(sK17)
| spl25_6 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f474,plain,
spl25_13,
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| spl25_13 ),
inference(resolution,[],[f459,f335]) ).
fof(f335,plain,
v10_lattices(sK17),
inference(cnf_transformation,[],[f210]) ).
fof(f459,plain,
( ~ v10_lattices(sK17)
| spl25_13 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f471,plain,
spl25_14,
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| spl25_14 ),
inference(resolution,[],[f465,f339]) ).
fof(f339,plain,
v17_lattices(sK17),
inference(cnf_transformation,[],[f210]) ).
fof(f465,plain,
( ~ v17_lattices(sK17)
| spl25_14 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f468,plain,
spl25_8,
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f467,plain,
( $false
| spl25_8 ),
inference(resolution,[],[f439,f336]) ).
fof(f336,plain,
l3_lattices(sK17),
inference(cnf_transformation,[],[f210]) ).
fof(f439,plain,
( ~ l3_lattices(sK17)
| spl25_8 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f466,plain,
( ~ spl25_8
| spl25_10
| ~ spl25_14
| spl25_5 ),
inference(avatar_split_clause,[],[f461,f425,f463,f445,f437]) ).
fof(f461,plain,
( ~ v17_lattices(sK17)
| v3_struct_0(sK17)
| ~ l3_lattices(sK17)
| spl25_5 ),
inference(resolution,[],[f427,f294]) ).
fof(f294,plain,
! [X0] :
( v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f427,plain,
( ~ v16_lattices(sK17)
| spl25_5 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f460,plain,
( ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_9
| spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| spl25_2 ),
inference(avatar_split_clause,[],[f423,f411,f457,f453,f449,f445,f441,f437,f433,f429,f425]) ).
fof(f423,plain,
( ~ v10_lattices(sK17)
| ~ m1_subset_1(sK19,u1_struct_0(sK17))
| ~ v12_lattices(sK17)
| v3_struct_0(sK17)
| ~ r3_lattices(sK17,sK18,sK19)
| ~ l3_lattices(sK17)
| ~ m1_subset_1(sK18,u1_struct_0(sK17))
| ~ v15_lattices(sK17)
| ~ v16_lattices(sK17)
| spl25_2 ),
inference(resolution,[],[f413,f403]) ).
fof(f403,plain,
! [X2,X0,X1] :
( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ v16_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f367]) ).
fof(f367,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f413,plain,
( ~ l3_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| spl25_2 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f422,plain,
( spl25_1
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f337,f419,f415,f411,f407]) ).
fof(f337,plain,
( ~ v10_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| ~ v17_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| ~ l3_lattices(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19)))
| v3_struct_0(k23_filter_2(sK17,k22_filter_2(sK17,sK18,sK19))) ),
inference(cnf_transformation,[],[f210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT337+1 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.32 % Computer : n001.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue Aug 30 01:34:00 EDT 2022
% 0.09/0.32 % CPUTime :
% 0.15/0.47 % (9559)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)
% 0.15/0.47 % (9579)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)
% 0.15/0.47 % (9567)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)
% 0.15/0.47 % (9563)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)
% 0.15/0.48 % (9563)Instruction limit reached!
% 0.15/0.48 % (9563)------------------------------
% 0.15/0.48 % (9563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (9571)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)
% 0.15/0.48 % (9563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (9563)Termination reason: Unknown
% 0.15/0.48 % (9563)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (9563)Memory used [KB]: 6140
% 0.15/0.48 % (9563)Time elapsed: 0.006 s
% 0.15/0.48 % (9563)Instructions burned: 7 (million)
% 0.15/0.48 % (9563)------------------------------
% 0.15/0.48 % (9563)------------------------------
% 0.15/0.49 % (9567)Instruction limit reached!
% 0.15/0.49 % (9567)------------------------------
% 0.15/0.49 % (9567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (9567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (9567)Termination reason: Unknown
% 0.15/0.49 % (9567)Termination phase: Saturation
% 0.15/0.49
% 0.15/0.49 % (9567)Memory used [KB]: 6268
% 0.15/0.49 % (9567)Time elapsed: 0.008 s
% 0.15/0.49 % (9567)Instructions burned: 8 (million)
% 0.15/0.49 % (9567)------------------------------
% 0.15/0.49 % (9567)------------------------------
% 0.15/0.50 % (9571)First to succeed.
% 0.15/0.50 % (9575)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)
% 0.15/0.50 % (9553)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)
% 0.15/0.51 % (9571)Refutation found. Thanks to Tanya!
% 0.15/0.51 % SZS status Theorem for theBenchmark
% 0.15/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51 % (9571)------------------------------
% 0.15/0.51 % (9571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (9571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (9571)Termination reason: Refutation
% 0.15/0.51
% 0.15/0.51 % (9571)Memory used [KB]: 6396
% 0.15/0.51 % (9571)Time elapsed: 0.131 s
% 0.15/0.51 % (9571)Instructions burned: 9 (million)
% 0.15/0.51 % (9571)------------------------------
% 0.15/0.51 % (9571)------------------------------
% 0.15/0.51 % (9551)Success in time 0.181 s
%------------------------------------------------------------------------------