TSTP Solution File: LAT319+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT319+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 : n015.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 17:33:56 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of formulae : 159 ( 9 unt; 0 def)
% Number of atoms : 1057 ( 0 equ)
% Maximal formula atoms : 38 ( 6 avg)
% Number of connectives : 1447 ( 549 ~; 644 |; 221 &)
% ( 16 <=>; 15 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 9 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 62 ( 57 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f651,plain,
$false,
inference(avatar_sat_refutation,[],[f302,f315,f316,f327,f329,f334,f480,f484,f597,f650]) ).
fof(f650,plain,
( ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7
| spl8_8 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f649,plain,
( $false
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7
| spl8_8 ),
inference(subsumption_resolution,[],[f648,f276]) ).
fof(f276,plain,
( v10_lattices(sK7)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl8_1
<=> v10_lattices(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f648,plain,
( ~ v10_lattices(sK7)
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7
| spl8_8 ),
inference(subsumption_resolution,[],[f647,f289]) ).
fof(f289,plain,
( ~ v3_struct_0(sK7)
| spl8_4 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl8_4
<=> v3_struct_0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f647,plain,
( v3_struct_0(sK7)
| ~ v10_lattices(sK7)
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7
| spl8_8 ),
inference(subsumption_resolution,[],[f646,f610]) ).
fof(f610,plain,
( v15_lattices(k1_lattice2(sK7))
| ~ spl8_2
| spl8_5
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f609,f295]) ).
fof(f295,plain,
( ~ v3_struct_0(k1_lattice2(sK7))
| spl8_5 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl8_5
<=> v3_struct_0(k1_lattice2(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f609,plain,
( v3_struct_0(k1_lattice2(sK7))
| v15_lattices(k1_lattice2(sK7))
| ~ spl8_2
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f600,f309]) ).
fof(f309,plain,
( l3_lattices(k1_lattice2(sK7))
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f307,plain,
( spl8_7
<=> l3_lattices(k1_lattice2(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f600,plain,
( ~ l3_lattices(k1_lattice2(sK7))
| v3_struct_0(k1_lattice2(sK7))
| v15_lattices(k1_lattice2(sK7))
| ~ spl8_2 ),
inference(resolution,[],[f280,f239]) ).
fof(f239,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( ~ v3_struct_0(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) )
| ~ v17_lattices(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) )
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ~ v3_struct_0(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f280,plain,
( v17_lattices(k1_lattice2(sK7))
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl8_2
<=> v17_lattices(k1_lattice2(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f646,plain,
( ~ v15_lattices(k1_lattice2(sK7))
| v3_struct_0(sK7)
| ~ v10_lattices(sK7)
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7
| spl8_8 ),
inference(subsumption_resolution,[],[f645,f629]) ).
fof(f629,plain,
( ~ v15_lattices(sK7)
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7
| spl8_8 ),
inference(subsumption_resolution,[],[f628,f289]) ).
fof(f628,plain,
( ~ v15_lattices(sK7)
| v3_struct_0(sK7)
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7
| spl8_8 ),
inference(subsumption_resolution,[],[f627,f618]) ).
fof(f618,plain,
( v11_lattices(sK7)
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f617,f276]) ).
fof(f617,plain,
( v11_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ spl8_2
| ~ spl8_3
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f616,f300]) ).
fof(f300,plain,
( l3_lattices(sK7)
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl8_6
<=> l3_lattices(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f616,plain,
( v11_lattices(sK7)
| ~ l3_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ spl8_2
| ~ spl8_3
| spl8_4
| spl8_5
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f615,f289]) ).
fof(f615,plain,
( v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| v11_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ spl8_2
| ~ spl8_3
| spl8_5
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f614,f285]) ).
fof(f285,plain,
( v10_lattices(k1_lattice2(sK7))
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl8_3
<=> v10_lattices(k1_lattice2(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f614,plain,
( v11_lattices(sK7)
| ~ v10_lattices(k1_lattice2(sK7))
| ~ v10_lattices(sK7)
| ~ l3_lattices(sK7)
| v3_struct_0(sK7)
| ~ spl8_2
| spl8_5
| ~ spl8_7 ),
inference(resolution,[],[f604,f321]) ).
fof(f321,plain,
! [X0] :
( ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v11_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0) ),
inference(subsumption_resolution,[],[f320,f147]) ).
fof(f147,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( l3_lattices(X0)
=> l3_lattices(k1_lattice2(X0)) ),
inference(pure_predicate_removal,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f320,plain,
! [X0] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| v11_lattices(X0) ),
inference(subsumption_resolution,[],[f176,f243]) ).
fof(f243,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ~ v3_struct_0(k1_lattice2(X0)) ),
inference(pure_predicate_removal,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f176,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| v11_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0) )
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0) ) ) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0) )
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0) )
<=> ( v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0) )
<=> ( v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ( v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0) )
<=> ( v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_lattice2) ).
fof(f604,plain,
( v11_lattices(k1_lattice2(sK7))
| ~ spl8_2
| spl8_5
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f603,f309]) ).
fof(f603,plain,
( ~ l3_lattices(k1_lattice2(sK7))
| v11_lattices(k1_lattice2(sK7))
| ~ spl8_2
| spl8_5 ),
inference(subsumption_resolution,[],[f602,f295]) ).
fof(f602,plain,
( v11_lattices(k1_lattice2(sK7))
| v3_struct_0(k1_lattice2(sK7))
| ~ l3_lattices(k1_lattice2(sK7))
| ~ spl8_2 ),
inference(resolution,[],[f280,f237]) ).
fof(f237,plain,
! [X0] :
( ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f627,plain,
( ~ v15_lattices(sK7)
| ~ v11_lattices(sK7)
| v3_struct_0(sK7)
| ~ spl8_1
| ~ spl8_2
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7
| spl8_8 ),
inference(subsumption_resolution,[],[f626,f313]) ).
fof(f313,plain,
( ~ v17_lattices(sK7)
| spl8_8 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f312,plain,
( spl8_8
<=> v17_lattices(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
fof(f626,plain,
( v17_lattices(sK7)
| ~ v15_lattices(sK7)
| v3_struct_0(sK7)
| ~ v11_lattices(sK7)
| ~ spl8_1
| ~ spl8_2
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f625,f300]) ).
fof(f625,plain,
( ~ v15_lattices(sK7)
| ~ l3_lattices(sK7)
| ~ v11_lattices(sK7)
| v17_lattices(sK7)
| v3_struct_0(sK7)
| ~ spl8_1
| ~ spl8_2
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(resolution,[],[f624,f187]) ).
fof(f187,plain,
! [X0] :
( ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| v17_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v15_lattices(X0)
& ~ v3_struct_0(X0)
& v11_lattices(X0)
& v16_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v17_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f624,plain,
( v16_lattices(sK7)
| ~ spl8_1
| ~ spl8_2
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f623,f276]) ).
fof(f623,plain,
( ~ v10_lattices(sK7)
| v16_lattices(sK7)
| ~ spl8_2
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f622,f610]) ).
fof(f622,plain,
( ~ v15_lattices(k1_lattice2(sK7))
| ~ v10_lattices(sK7)
| v16_lattices(sK7)
| ~ spl8_2
| spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f621,f300]) ).
fof(f621,plain,
( v16_lattices(sK7)
| ~ l3_lattices(sK7)
| ~ v15_lattices(k1_lattice2(sK7))
| ~ v10_lattices(sK7)
| ~ spl8_2
| spl8_4
| spl8_5
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f619,f289]) ).
fof(f619,plain,
( v3_struct_0(sK7)
| ~ v15_lattices(k1_lattice2(sK7))
| v16_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ l3_lattices(sK7)
| ~ spl8_2
| spl8_5
| ~ spl8_7 ),
inference(resolution,[],[f606,f332]) ).
fof(f332,plain,
! [X0] :
( ~ v16_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v15_lattices(k1_lattice2(X0))
| v16_lattices(X0) ),
inference(subsumption_resolution,[],[f331,f169]) ).
fof(f169,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( v4_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( v4_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( v4_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(pure_predicate_removal,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( v5_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f331,plain,
! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v16_lattices(X0)
| ~ v16_lattices(k1_lattice2(X0)) ),
inference(subsumption_resolution,[],[f330,f147]) ).
fof(f330,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(k1_lattice2(X0))
| v16_lattices(X0)
| ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0) ),
inference(subsumption_resolution,[],[f190,f243]) ).
fof(f190,plain,
! [X0] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| v16_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ( l3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0) )
& ( ( l3_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& v16_lattices(X0) )
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0)) ) )
| ~ l3_lattices(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ( l3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0) )
& ( ( l3_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& v16_lattices(X0) )
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0)) ) )
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( l3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0)) )
<=> ( l3_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& v16_lattices(X0) ) )
| ~ l3_lattices(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( ( l3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0)) )
<=> ( l3_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& v16_lattices(X0) ) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ( l3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0)) )
<=> ( l3_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& v16_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
fof(f606,plain,
( v16_lattices(k1_lattice2(sK7))
| ~ spl8_2
| spl8_5
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f605,f295]) ).
fof(f605,plain,
( v16_lattices(k1_lattice2(sK7))
| v3_struct_0(k1_lattice2(sK7))
| ~ spl8_2
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f601,f309]) ).
fof(f601,plain,
( ~ l3_lattices(k1_lattice2(sK7))
| v16_lattices(k1_lattice2(sK7))
| v3_struct_0(k1_lattice2(sK7))
| ~ spl8_2 ),
inference(resolution,[],[f280,f238]) ).
fof(f238,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f645,plain,
( v15_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ v15_lattices(k1_lattice2(sK7))
| v3_struct_0(sK7)
| ~ spl8_2
| ~ spl8_3
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f644,f285]) ).
fof(f644,plain,
( ~ v10_lattices(k1_lattice2(sK7))
| v15_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ v15_lattices(k1_lattice2(sK7))
| v3_struct_0(sK7)
| ~ spl8_2
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f643,f309]) ).
fof(f643,plain,
( ~ l3_lattices(k1_lattice2(sK7))
| ~ v10_lattices(k1_lattice2(sK7))
| ~ v10_lattices(sK7)
| v15_lattices(sK7)
| ~ v15_lattices(k1_lattice2(sK7))
| v3_struct_0(sK7)
| ~ spl8_2
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f641,f300]) ).
fof(f641,plain,
( ~ l3_lattices(sK7)
| ~ l3_lattices(k1_lattice2(sK7))
| ~ v10_lattices(sK7)
| v15_lattices(sK7)
| ~ v15_lattices(k1_lattice2(sK7))
| ~ v10_lattices(k1_lattice2(sK7))
| v3_struct_0(sK7)
| ~ spl8_2
| spl8_5
| ~ spl8_7 ),
inference(resolution,[],[f305,f606]) ).
fof(f305,plain,
! [X0] :
( ~ v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| v15_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(subsumption_resolution,[],[f193,f243]) ).
fof(f193,plain,
! [X0] :
( ~ v10_lattices(X0)
| ~ v15_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v16_lattices(k1_lattice2(X0))
| v15_lattices(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f597,plain,
( ~ spl8_1
| spl8_2
| spl8_4
| ~ spl8_6
| ~ spl8_8 ),
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f596,plain,
( $false
| ~ spl8_1
| spl8_2
| spl8_4
| ~ spl8_6
| ~ spl8_8 ),
inference(subsumption_resolution,[],[f595,f465]) ).
fof(f465,plain,
( v15_lattices(sK7)
| spl8_4
| ~ spl8_6
| ~ spl8_8 ),
inference(subsumption_resolution,[],[f464,f289]) ).
fof(f464,plain,
( v3_struct_0(sK7)
| v15_lattices(sK7)
| ~ spl8_6
| ~ spl8_8 ),
inference(subsumption_resolution,[],[f462,f300]) ).
fof(f462,plain,
( v15_lattices(sK7)
| ~ l3_lattices(sK7)
| v3_struct_0(sK7)
| ~ spl8_8 ),
inference(resolution,[],[f239,f314]) ).
fof(f314,plain,
( v17_lattices(sK7)
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f595,plain,
( ~ v15_lattices(sK7)
| ~ spl8_1
| spl8_2
| spl8_4
| ~ spl8_6
| ~ spl8_8 ),
inference(subsumption_resolution,[],[f594,f289]) ).
fof(f594,plain,
( v3_struct_0(sK7)
| ~ v15_lattices(sK7)
| ~ spl8_1
| spl8_2
| spl8_4
| ~ spl8_6
| ~ spl8_8 ),
inference(subsumption_resolution,[],[f593,f276]) ).
fof(f593,plain,
( ~ v10_lattices(sK7)
| ~ v15_lattices(sK7)
| v3_struct_0(sK7)
| spl8_2
| spl8_4
| ~ spl8_6
| ~ spl8_8 ),
inference(subsumption_resolution,[],[f592,f300]) ).
fof(f592,plain,
( ~ l3_lattices(sK7)
| ~ v15_lattices(sK7)
| v3_struct_0(sK7)
| ~ v10_lattices(sK7)
| spl8_2
| spl8_4
| ~ spl8_6
| ~ spl8_8 ),
inference(subsumption_resolution,[],[f591,f461]) ).
fof(f461,plain,
( v16_lattices(sK7)
| spl8_4
| ~ spl8_6
| ~ spl8_8 ),
inference(subsumption_resolution,[],[f460,f300]) ).
fof(f460,plain,
( v16_lattices(sK7)
| ~ l3_lattices(sK7)
| spl8_4
| ~ spl8_8 ),
inference(subsumption_resolution,[],[f458,f289]) ).
fof(f458,plain,
( v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| v16_lattices(sK7)
| ~ spl8_8 ),
inference(resolution,[],[f238,f314]) ).
fof(f591,plain,
( ~ v16_lattices(sK7)
| ~ l3_lattices(sK7)
| ~ v15_lattices(sK7)
| v3_struct_0(sK7)
| ~ v10_lattices(sK7)
| spl8_2
| spl8_4
| ~ spl8_6
| ~ spl8_8 ),
inference(subsumption_resolution,[],[f585,f457]) ).
fof(f457,plain,
( v11_lattices(sK7)
| spl8_4
| ~ spl8_6
| ~ spl8_8 ),
inference(subsumption_resolution,[],[f456,f300]) ).
fof(f456,plain,
( ~ l3_lattices(sK7)
| v11_lattices(sK7)
| spl8_4
| ~ spl8_8 ),
inference(subsumption_resolution,[],[f454,f289]) ).
fof(f454,plain,
( v3_struct_0(sK7)
| v11_lattices(sK7)
| ~ l3_lattices(sK7)
| ~ spl8_8 ),
inference(resolution,[],[f237,f314]) ).
fof(f585,plain,
( ~ v11_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ v15_lattices(sK7)
| ~ v16_lattices(sK7)
| v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| spl8_2 ),
inference(resolution,[],[f584,f279]) ).
fof(f279,plain,
( ~ v17_lattices(k1_lattice2(sK7))
| spl8_2 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f584,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0) ),
inference(duplicate_literal_removal,[],[f583]) ).
fof(f583,plain,
! [X0] :
( v3_struct_0(X0)
| v3_struct_0(X0)
| v17_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v10_lattices(X0) ),
inference(resolution,[],[f571,f264]) ).
fof(f264,plain,
! [X0] :
( v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f571,plain,
! [X0] :
( ~ v11_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| v17_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0) ),
inference(subsumption_resolution,[],[f570,f265]) ).
fof(f265,plain,
! [X0] :
( v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f197]) ).
fof(f197,plain,
! [X0] :
( v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f570,plain,
! [X0] :
( ~ v11_lattices(k1_lattice2(X0))
| v17_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(X0) ),
inference(subsumption_resolution,[],[f569,f243]) ).
fof(f569,plain,
! [X0] :
( ~ v15_lattices(X0)
| v17_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v11_lattices(k1_lattice2(X0))
| ~ v16_lattices(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f568,f147]) ).
fof(f568,plain,
! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v15_lattices(X0)
| v3_struct_0(k1_lattice2(X0))
| v17_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(resolution,[],[f268,f187]) ).
fof(f268,plain,
! [X0] :
( v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v16_lattices(X0) ),
inference(duplicate_literal_removal,[],[f195]) ).
fof(f195,plain,
! [X0] :
( v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f484,plain,
( spl8_4
| ~ spl8_5
| ~ spl8_6 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| spl8_4
| ~ spl8_5
| ~ spl8_6 ),
inference(subsumption_resolution,[],[f482,f289]) ).
fof(f482,plain,
( v3_struct_0(sK7)
| ~ spl8_5
| ~ spl8_6 ),
inference(subsumption_resolution,[],[f481,f300]) ).
fof(f481,plain,
( ~ l3_lattices(sK7)
| v3_struct_0(sK7)
| ~ spl8_5 ),
inference(resolution,[],[f294,f243]) ).
fof(f294,plain,
( v3_struct_0(k1_lattice2(sK7))
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f480,plain,
( ~ spl8_1
| spl8_3
| spl8_4
| ~ spl8_6 ),
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f479,plain,
( $false
| ~ spl8_1
| spl8_3
| spl8_4
| ~ spl8_6 ),
inference(subsumption_resolution,[],[f478,f289]) ).
fof(f478,plain,
( v3_struct_0(sK7)
| ~ spl8_1
| spl8_3
| ~ spl8_6 ),
inference(subsumption_resolution,[],[f477,f276]) ).
fof(f477,plain,
( ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl8_3
| ~ spl8_6 ),
inference(subsumption_resolution,[],[f476,f300]) ).
fof(f476,plain,
( ~ l3_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl8_3 ),
inference(resolution,[],[f169,f284]) ).
fof(f284,plain,
( ~ v10_lattices(k1_lattice2(sK7))
| spl8_3 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f334,plain,
spl8_6,
inference(avatar_split_clause,[],[f263,f298]) ).
fof(f263,plain,
l3_lattices(sK7),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( l3_lattices(sK7)
& v10_lattices(sK7)
& ~ v3_struct_0(sK7)
& ( v3_struct_0(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ l3_lattices(sK7)
| ~ l3_lattices(k1_lattice2(sK7))
| ~ v10_lattices(k1_lattice2(sK7))
| ~ v17_lattices(k1_lattice2(sK7))
| v3_struct_0(k1_lattice2(sK7)) )
& ( ( ~ v3_struct_0(sK7)
& v17_lattices(sK7)
& v10_lattices(sK7)
& l3_lattices(sK7) )
| ( l3_lattices(k1_lattice2(sK7))
& v10_lattices(k1_lattice2(sK7))
& v17_lattices(k1_lattice2(sK7))
& ~ v3_struct_0(k1_lattice2(sK7)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f134,f135]) ).
fof(f135,plain,
( ? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
| ( l3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) )
=> ( l3_lattices(sK7)
& v10_lattices(sK7)
& ~ v3_struct_0(sK7)
& ( v3_struct_0(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ l3_lattices(sK7)
| ~ l3_lattices(k1_lattice2(sK7))
| ~ v10_lattices(k1_lattice2(sK7))
| ~ v17_lattices(k1_lattice2(sK7))
| v3_struct_0(k1_lattice2(sK7)) )
& ( ( ~ v3_struct_0(sK7)
& v17_lattices(sK7)
& v10_lattices(sK7)
& l3_lattices(sK7) )
| ( l3_lattices(k1_lattice2(sK7))
& v10_lattices(k1_lattice2(sK7))
& v17_lattices(k1_lattice2(sK7))
& ~ v3_struct_0(k1_lattice2(sK7)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
| ( l3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
| ( l3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( ( l3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
<~> ( ~ v3_struct_0(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0) ) ) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
? [X0] :
( ( ( l3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
<~> ( ~ v3_struct_0(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0) ) )
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
fof(f329,plain,
spl8_7,
inference(avatar_split_clause,[],[f328,f307]) ).
fof(f328,plain,
l3_lattices(k1_lattice2(sK7)),
inference(subsumption_resolution,[],[f247,f147]) ).
fof(f247,plain,
( l3_lattices(sK7)
| l3_lattices(k1_lattice2(sK7)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f327,plain,
( ~ spl8_6
| ~ spl8_1
| ~ spl8_8
| spl8_4
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f326,f278,f287,f312,f274,f298]) ).
fof(f326,plain,
( ~ v17_lattices(k1_lattice2(sK7))
| v3_struct_0(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ l3_lattices(sK7) ),
inference(subsumption_resolution,[],[f325,f169]) ).
fof(f325,plain,
( ~ v10_lattices(k1_lattice2(sK7))
| ~ v10_lattices(sK7)
| ~ v17_lattices(sK7)
| ~ v17_lattices(k1_lattice2(sK7))
| v3_struct_0(sK7)
| ~ l3_lattices(sK7) ),
inference(subsumption_resolution,[],[f324,f243]) ).
fof(f324,plain,
( ~ v17_lattices(k1_lattice2(sK7))
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| ~ v17_lattices(sK7)
| v3_struct_0(k1_lattice2(sK7))
| ~ v10_lattices(k1_lattice2(sK7))
| ~ l3_lattices(sK7) ),
inference(subsumption_resolution,[],[f260,f147]) ).
fof(f260,plain,
( ~ v17_lattices(k1_lattice2(sK7))
| ~ l3_lattices(k1_lattice2(sK7))
| ~ v10_lattices(k1_lattice2(sK7))
| v3_struct_0(sK7)
| ~ v10_lattices(sK7)
| ~ v17_lattices(sK7)
| v3_struct_0(k1_lattice2(sK7))
| ~ l3_lattices(sK7) ),
inference(cnf_transformation,[],[f136]) ).
fof(f316,plain,
~ spl8_4,
inference(avatar_split_clause,[],[f261,f287]) ).
fof(f261,plain,
~ v3_struct_0(sK7),
inference(cnf_transformation,[],[f136]) ).
fof(f315,plain,
( spl8_2
| spl8_8 ),
inference(avatar_split_clause,[],[f253,f312,f278]) ).
fof(f253,plain,
( v17_lattices(sK7)
| v17_lattices(k1_lattice2(sK7)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f302,plain,
spl8_1,
inference(avatar_split_clause,[],[f262,f274]) ).
fof(f262,plain,
v10_lattices(sK7),
inference(cnf_transformation,[],[f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT319+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 01:19:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (6626)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)
% 0.20/0.51 % (6601)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)
% 0.20/0.51 % (6620)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)
% 0.20/0.51 % (6601)First to succeed.
% 0.20/0.51 % (6612)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)
% 0.20/0.51 % (6609)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)
% 0.20/0.51 % (6602)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)
% 0.20/0.52 % (6603)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)
% 0.20/0.52 % (6626)Instruction limit reached!
% 0.20/0.52 % (6626)------------------------------
% 0.20/0.52 % (6626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (6612)Instruction limit reached!
% 0.20/0.52 % (6612)------------------------------
% 0.20/0.52 % (6612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (6612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (6612)Termination reason: Unknown
% 0.20/0.52 % (6612)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (6612)Memory used [KB]: 1663
% 0.20/0.52 % (6612)Time elapsed: 0.004 s
% 0.20/0.52 % (6612)Instructions burned: 4 (million)
% 0.20/0.52 % (6612)------------------------------
% 0.20/0.52 % (6612)------------------------------
% 0.20/0.53 % (6601)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (6601)------------------------------
% 0.20/0.53 % (6601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (6601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (6601)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (6601)Memory used [KB]: 6268
% 0.20/0.53 % (6601)Time elapsed: 0.112 s
% 0.20/0.53 % (6601)Instructions burned: 11 (million)
% 0.20/0.53 % (6601)------------------------------
% 0.20/0.53 % (6601)------------------------------
% 0.20/0.53 % (6593)Success in time 0.174 s
%------------------------------------------------------------------------------