TSTP Solution File: SEU304+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU304+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n011.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 18:28:33 EDT 2022
% Result : Theorem 0.16s 0.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 88 ( 12 unt; 0 def)
% Number of atoms : 394 ( 52 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 494 ( 188 ~; 188 |; 86 &)
% ( 8 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 155 ( 132 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f310,plain,
$false,
inference(avatar_sat_refutation,[],[f276,f285,f309]) ).
fof(f309,plain,
spl14_2,
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f308,plain,
( $false
| spl14_2 ),
inference(subsumption_resolution,[],[f307,f188]) ).
fof(f188,plain,
element(sK11,the_carrier(sK9)),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( meet_commutative(sK9)
& meet_absorbing(sK9)
& ~ empty_carrier(sK9)
& element(sK11,the_carrier(sK9))
& ~ below(sK9,meet_commut(sK9,sK10,sK11),sK10)
& element(sK10,the_carrier(sK9))
& latt_str(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f81,f142,f141,f140]) ).
fof(f140,plain,
( ? [X0] :
( meet_commutative(X0)
& meet_absorbing(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( ? [X2] :
( element(X2,the_carrier(X0))
& ~ below(X0,meet_commut(X0,X1,X2),X1) )
& element(X1,the_carrier(X0)) )
& latt_str(X0) )
=> ( meet_commutative(sK9)
& meet_absorbing(sK9)
& ~ empty_carrier(sK9)
& ? [X1] :
( ? [X2] :
( element(X2,the_carrier(sK9))
& ~ below(sK9,meet_commut(sK9,X1,X2),X1) )
& element(X1,the_carrier(sK9)) )
& latt_str(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X1] :
( ? [X2] :
( element(X2,the_carrier(sK9))
& ~ below(sK9,meet_commut(sK9,X1,X2),X1) )
& element(X1,the_carrier(sK9)) )
=> ( ? [X2] :
( element(X2,the_carrier(sK9))
& ~ below(sK9,meet_commut(sK9,sK10,X2),sK10) )
& element(sK10,the_carrier(sK9)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X2] :
( element(X2,the_carrier(sK9))
& ~ below(sK9,meet_commut(sK9,sK10,X2),sK10) )
=> ( element(sK11,the_carrier(sK9))
& ~ below(sK9,meet_commut(sK9,sK10,sK11),sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
? [X0] :
( meet_commutative(X0)
& meet_absorbing(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( ? [X2] :
( element(X2,the_carrier(X0))
& ~ below(X0,meet_commut(X0,X1,X2),X1) )
& element(X1,the_carrier(X0)) )
& latt_str(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( element(X2,the_carrier(X0))
& ~ below(X0,meet_commut(X0,X1,X2),X1) )
& element(X1,the_carrier(X0)) )
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0)
& latt_str(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X0] :
( ( meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
! [X0] :
( ( meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_lattices) ).
fof(f307,plain,
( ~ element(sK11,the_carrier(sK9))
| spl14_2 ),
inference(subsumption_resolution,[],[f306,f186]) ).
fof(f186,plain,
element(sK10,the_carrier(sK9)),
inference(cnf_transformation,[],[f143]) ).
fof(f306,plain,
( ~ element(sK10,the_carrier(sK9))
| ~ element(sK11,the_carrier(sK9))
| spl14_2 ),
inference(trivial_inequality_removal,[],[f301]) ).
fof(f301,plain,
( ~ element(sK10,the_carrier(sK9))
| ~ element(sK11,the_carrier(sK9))
| sK10 != sK10
| spl14_2 ),
inference(superposition,[],[f275,f298]) ).
fof(f298,plain,
! [X0,X1] :
( join(sK9,meet_commut(sK9,X1,X0),X1) = X1
| ~ element(X1,the_carrier(sK9))
| ~ element(X0,the_carrier(sK9)) ),
inference(duplicate_literal_removal,[],[f293]) ).
fof(f293,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK9))
| ~ element(X1,the_carrier(sK9))
| ~ element(X1,the_carrier(sK9))
| ~ element(X0,the_carrier(sK9))
| join(sK9,meet_commut(sK9,X1,X0),X1) = X1 ),
inference(superposition,[],[f263,f234]) ).
fof(f234,plain,
! [X2,X3] :
( meet_commut(sK9,X2,X3) = meet_commut(sK9,X3,X2)
| ~ element(X2,the_carrier(sK9))
| ~ element(X3,the_carrier(sK9)) ),
inference(subsumption_resolution,[],[f233,f189]) ).
fof(f189,plain,
~ empty_carrier(sK9),
inference(cnf_transformation,[],[f143]) ).
fof(f233,plain,
! [X2,X3] :
( empty_carrier(sK9)
| meet_commut(sK9,X2,X3) = meet_commut(sK9,X3,X2)
| ~ element(X3,the_carrier(sK9))
| ~ element(X2,the_carrier(sK9)) ),
inference(subsumption_resolution,[],[f231,f191]) ).
fof(f191,plain,
meet_commutative(sK9),
inference(cnf_transformation,[],[f143]) ).
fof(f231,plain,
! [X2,X3] :
( ~ meet_commutative(sK9)
| ~ element(X3,the_carrier(sK9))
| meet_commut(sK9,X2,X3) = meet_commut(sK9,X3,X2)
| ~ element(X2,the_carrier(sK9))
| empty_carrier(sK9) ),
inference(resolution,[],[f224,f195]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ meet_commutative(X0)
| meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ meet_semilatt_str(X0)
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_commutative(X0)
| meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ meet_semilatt_str(X2)
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2))
| ~ element(X0,the_carrier(X2))
| ~ meet_commutative(X2)
| meet_commut(X2,X0,X1) = meet_commut(X2,X1,X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X2,X1] :
( meet_commut(X2,X0,X1) = meet_commut(X2,X1,X0)
| ~ element(X1,the_carrier(X2))
| empty_carrier(X2)
| ~ element(X0,the_carrier(X2))
| ~ meet_commutative(X2)
| ~ meet_semilatt_str(X2) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X2,X1] :
( ( element(X1,the_carrier(X2))
& ~ empty_carrier(X2)
& element(X0,the_carrier(X2))
& meet_commutative(X2)
& meet_semilatt_str(X2) )
=> meet_commut(X2,X0,X1) = meet_commut(X2,X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X1,X0] :
( ( meet_commutative(X0)
& ~ empty_carrier(X0)
& element(X2,the_carrier(X0))
& meet_semilatt_str(X0)
& element(X1,the_carrier(X0)) )
=> meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f224,plain,
meet_semilatt_str(sK9),
inference(resolution,[],[f185,f167]) ).
fof(f167,plain,
! [X0] :
( ~ latt_str(X0)
| meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( meet_semilatt_str(X0)
& join_semilatt_str(X0) )
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( latt_str(X0)
=> ( meet_semilatt_str(X0)
& join_semilatt_str(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f185,plain,
latt_str(sK9),
inference(cnf_transformation,[],[f143]) ).
fof(f263,plain,
! [X0,X1] :
( join(sK9,meet_commut(sK9,X0,X1),X1) = X1
| ~ element(X1,the_carrier(sK9))
| ~ element(X0,the_carrier(sK9)) ),
inference(duplicate_literal_removal,[],[f259]) ).
fof(f259,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(sK9))
| ~ element(X0,the_carrier(sK9))
| ~ element(X0,the_carrier(sK9))
| join(sK9,meet_commut(sK9,X0,X1),X1) = X1
| ~ element(X1,the_carrier(sK9)) ),
inference(superposition,[],[f228,f237]) ).
fof(f237,plain,
! [X0,X1] :
( meet_commut(sK9,X0,X1) = meet(sK9,X0,X1)
| ~ element(X1,the_carrier(sK9))
| ~ element(X0,the_carrier(sK9)) ),
inference(subsumption_resolution,[],[f236,f189]) ).
fof(f236,plain,
! [X0,X1] :
( empty_carrier(sK9)
| ~ element(X1,the_carrier(sK9))
| ~ element(X0,the_carrier(sK9))
| meet_commut(sK9,X0,X1) = meet(sK9,X0,X1) ),
inference(subsumption_resolution,[],[f230,f191]) ).
fof(f230,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK9))
| ~ meet_commutative(sK9)
| empty_carrier(sK9)
| meet_commut(sK9,X0,X1) = meet(sK9,X0,X1)
| ~ element(X1,the_carrier(sK9)) ),
inference(resolution,[],[f224,f205]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ meet_semilatt_str(X0)
| empty_carrier(X0)
| meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| ~ meet_commutative(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| ~ meet_commutative(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ meet_semilatt_str(X0) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X1,X0,X2] :
( meet(X1,X0,X2) = meet_commut(X1,X0,X2)
| ~ meet_commutative(X1)
| empty_carrier(X1)
| ~ element(X0,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X2,X1,X0] :
( meet(X1,X0,X2) = meet_commut(X1,X0,X2)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ element(X0,the_carrier(X1))
| ~ meet_commutative(X1)
| ~ meet_semilatt_str(X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X2,X1,X0] :
( ( element(X2,the_carrier(X1))
& ~ empty_carrier(X1)
& element(X0,the_carrier(X1))
& meet_commutative(X1)
& meet_semilatt_str(X1) )
=> meet(X1,X0,X2) = meet_commut(X1,X0,X2) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X1,X0,X2] :
( ( ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_semilatt_str(X0)
& element(X2,the_carrier(X0))
& element(X1,the_carrier(X0)) )
=> meet_commut(X0,X1,X2) = meet(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f228,plain,
! [X0,X1] :
( join(sK9,meet(sK9,X0,X1),X1) = X1
| ~ element(X1,the_carrier(sK9))
| ~ element(X0,the_carrier(sK9)) ),
inference(subsumption_resolution,[],[f227,f185]) ).
fof(f227,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(sK9))
| join(sK9,meet(sK9,X0,X1),X1) = X1
| ~ element(X0,the_carrier(sK9))
| ~ latt_str(sK9) ),
inference(subsumption_resolution,[],[f226,f189]) ).
fof(f226,plain,
! [X0,X1] :
( empty_carrier(sK9)
| ~ element(X1,the_carrier(sK9))
| join(sK9,meet(sK9,X0,X1),X1) = X1
| ~ element(X0,the_carrier(sK9))
| ~ latt_str(sK9) ),
inference(resolution,[],[f190,f181]) ).
fof(f181,plain,
! [X3,X0,X4] :
( ~ meet_absorbing(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ element(X3,the_carrier(X0))
| join(X0,meet(X0,X3,X4),X4) = X4
| ~ element(X4,the_carrier(X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ( element(sK7(X0),the_carrier(X0))
& join(X0,meet(X0,sK7(X0),sK8(X0)),sK8(X0)) != sK8(X0)
& element(sK8(X0),the_carrier(X0)) ) )
& ( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ! [X4] :
( join(X0,meet(X0,X3,X4),X4) = X4
| ~ element(X4,the_carrier(X0)) ) )
| ~ meet_absorbing(X0) ) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f136,f138,f137]) ).
fof(f137,plain,
! [X0] :
( ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( join(X0,meet(X0,X1,X2),X2) != X2
& element(X2,the_carrier(X0)) ) )
=> ( element(sK7(X0),the_carrier(X0))
& ? [X2] :
( join(X0,meet(X0,sK7(X0),X2),X2) != X2
& element(X2,the_carrier(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0] :
( ? [X2] :
( join(X0,meet(X0,sK7(X0),X2),X2) != X2
& element(X2,the_carrier(X0)) )
=> ( join(X0,meet(X0,sK7(X0),sK8(X0)),sK8(X0)) != sK8(X0)
& element(sK8(X0),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( join(X0,meet(X0,X1,X2),X2) != X2
& element(X2,the_carrier(X0)) ) ) )
& ( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ! [X4] :
( join(X0,meet(X0,X3,X4),X4) = X4
| ~ element(X4,the_carrier(X0)) ) )
| ~ meet_absorbing(X0) ) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( join(X0,meet(X0,X1,X2),X2) != X2
& element(X2,the_carrier(X0)) ) ) )
& ( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) ) )
| ~ meet_absorbing(X0) ) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( meet_absorbing(X0)
<=> ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) ) ) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( meet_absorbing(X0)
<=> ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) ) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ( meet_absorbing(X0)
<=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> join(X0,meet(X0,X1,X2),X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_lattices) ).
fof(f190,plain,
meet_absorbing(sK9),
inference(cnf_transformation,[],[f143]) ).
fof(f275,plain,
( sK10 != join(sK9,meet_commut(sK9,sK10,sK11),sK10)
| spl14_2 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl14_2
<=> sK10 = join(sK9,meet_commut(sK9,sK10,sK11),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f285,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| spl14_1 ),
inference(subsumption_resolution,[],[f283,f191]) ).
fof(f283,plain,
( ~ meet_commutative(sK9)
| spl14_1 ),
inference(subsumption_resolution,[],[f282,f189]) ).
fof(f282,plain,
( empty_carrier(sK9)
| ~ meet_commutative(sK9)
| spl14_1 ),
inference(subsumption_resolution,[],[f281,f188]) ).
fof(f281,plain,
( ~ element(sK11,the_carrier(sK9))
| empty_carrier(sK9)
| ~ meet_commutative(sK9)
| spl14_1 ),
inference(subsumption_resolution,[],[f280,f186]) ).
fof(f280,plain,
( ~ element(sK10,the_carrier(sK9))
| ~ element(sK11,the_carrier(sK9))
| ~ meet_commutative(sK9)
| empty_carrier(sK9)
| spl14_1 ),
inference(subsumption_resolution,[],[f277,f224]) ).
fof(f277,plain,
( ~ meet_semilatt_str(sK9)
| ~ element(sK10,the_carrier(sK9))
| empty_carrier(sK9)
| ~ element(sK11,the_carrier(sK9))
| ~ meet_commutative(sK9)
| spl14_1 ),
inference(resolution,[],[f271,f223]) ).
fof(f223,plain,
! [X2,X0,X1] :
( element(meet_commut(X0,X1,X2),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ~ meet_commutative(X0)
| element(meet_commut(X0,X1,X2),the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X1,X2,X0] :
( ~ meet_commutative(X1)
| element(meet_commut(X1,X2,X0),the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( element(meet_commut(X1,X2,X0),the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ meet_commutative(X1)
| ~ element(X0,the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X1))
& ~ empty_carrier(X1)
& meet_commutative(X1)
& element(X0,the_carrier(X1))
& meet_semilatt_str(X1) )
=> element(meet_commut(X1,X2,X0),the_carrier(X1)) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ( meet_semilatt_str(X0)
& ~ empty_carrier(X0)
& meet_commutative(X0)
& element(X2,the_carrier(X0))
& element(X1,the_carrier(X0)) )
=> element(meet_commut(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_lattices) ).
fof(f271,plain,
( ~ element(meet_commut(sK9,sK10,sK11),the_carrier(sK9))
| spl14_1 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl14_1
<=> element(meet_commut(sK9,sK10,sK11),the_carrier(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f276,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f267,f273,f269]) ).
fof(f267,plain,
( sK10 != join(sK9,meet_commut(sK9,sK10,sK11),sK10)
| ~ element(meet_commut(sK9,sK10,sK11),the_carrier(sK9)) ),
inference(subsumption_resolution,[],[f266,f186]) ).
fof(f266,plain,
( sK10 != join(sK9,meet_commut(sK9,sK10,sK11),sK10)
| ~ element(meet_commut(sK9,sK10,sK11),the_carrier(sK9))
| ~ element(sK10,the_carrier(sK9)) ),
inference(resolution,[],[f243,f187]) ).
fof(f187,plain,
~ below(sK9,meet_commut(sK9,sK10,sK11),sK10),
inference(cnf_transformation,[],[f143]) ).
fof(f243,plain,
! [X2,X3] :
( below(sK9,X2,X3)
| join(sK9,X2,X3) != X3
| ~ element(X2,the_carrier(sK9))
| ~ element(X3,the_carrier(sK9)) ),
inference(subsumption_resolution,[],[f240,f189]) ).
fof(f240,plain,
! [X2,X3] :
( ~ element(X3,the_carrier(sK9))
| ~ element(X2,the_carrier(sK9))
| empty_carrier(sK9)
| below(sK9,X2,X3)
| join(sK9,X2,X3) != X3 ),
inference(resolution,[],[f225,f201]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ join_semilatt_str(X0)
| below(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| join(X0,X1,X2) != X2 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( ( below(X0,X1,X2)
| join(X0,X1,X2) != X2 )
& ( join(X0,X1,X2) = X2
| ~ below(X0,X1,X2) ) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& join_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).
fof(f225,plain,
join_semilatt_str(sK9),
inference(resolution,[],[f185,f166]) ).
fof(f166,plain,
! [X0] :
( ~ latt_str(X0)
| join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU304+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n011.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 15:05:40 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.47 % (19751)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)
% 0.16/0.47 % (19752)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)
% 0.16/0.48 % (19753)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)
% 0.16/0.48 % (19743)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)
% 0.16/0.48 % (19744)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)
% 0.16/0.49 % (19761)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)
% 0.16/0.49 % (19760)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)
% 0.16/0.49 % (19751)Instruction limit reached!
% 0.16/0.49 % (19751)------------------------------
% 0.16/0.49 % (19751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (19751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (19751)Termination reason: Unknown
% 0.16/0.49 % (19751)Termination phase: Property scanning
% 0.16/0.49
% 0.16/0.49 % (19751)Memory used [KB]: 1535
% 0.16/0.49 % (19751)Time elapsed: 0.005 s
% 0.16/0.49 % (19751)Instructions burned: 3 (million)
% 0.16/0.49 % (19751)------------------------------
% 0.16/0.49 % (19751)------------------------------
% 0.16/0.49 % (19752)Instruction limit reached!
% 0.16/0.49 % (19752)------------------------------
% 0.16/0.49 % (19752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (19753)First to succeed.
% 0.16/0.50 % (19745)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)
% 0.16/0.50 % (19759)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)
% 0.16/0.50 % (19752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (19752)Termination reason: Unknown
% 0.16/0.50 % (19752)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (19752)Memory used [KB]: 6140
% 0.16/0.50 % (19752)Time elapsed: 0.115 s
% 0.16/0.50 % (19752)Instructions burned: 7 (million)
% 0.16/0.50 % (19752)------------------------------
% 0.16/0.50 % (19752)------------------------------
% 0.16/0.51 % (19743)Also succeeded, but the first one will report.
% 0.16/0.51 % (19753)Refutation found. Thanks to Tanya!
% 0.16/0.51 % SZS status Theorem for theBenchmark
% 0.16/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51 % (19753)------------------------------
% 0.16/0.51 % (19753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (19753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (19753)Termination reason: Refutation
% 0.16/0.51
% 0.16/0.51 % (19753)Memory used [KB]: 6268
% 0.16/0.51 % (19753)Time elapsed: 0.118 s
% 0.16/0.51 % (19753)Instructions burned: 8 (million)
% 0.16/0.51 % (19753)------------------------------
% 0.16/0.51 % (19753)------------------------------
% 0.16/0.51 % (19736)Success in time 0.178 s
%------------------------------------------------------------------------------