TSTP Solution File: SEU304+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n002.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 18:33:07 EDT 2022
% Result : Theorem 1.42s 0.58s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 87 ( 19 unt; 0 def)
% Number of atoms : 368 ( 50 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 447 ( 166 ~; 166 |; 84 &)
% ( 7 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 2 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 137 ( 114 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f541,plain,
$false,
inference(avatar_sat_refutation,[],[f509,f523]) ).
fof(f523,plain,
~ spl14_5,
inference(avatar_split_clause,[],[f522,f342]) ).
fof(f342,plain,
( spl14_5
<=> element(meet(sK2,sK3,sK4),the_carrier(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f522,plain,
~ element(meet(sK2,sK3,sK4),the_carrier(sK2)),
inference(subsumption_resolution,[],[f521,f326]) ).
fof(f326,plain,
~ below(sK2,meet(sK2,sK3,sK4),sK3),
inference(backward_demodulation,[],[f172,f322]) ).
fof(f322,plain,
meet_commut(sK2,sK3,sK4) = meet(sK2,sK3,sK4),
inference(resolution,[],[f301,f171]) ).
fof(f171,plain,
element(sK4,the_carrier(sK2)),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ~ below(sK2,meet_commut(sK2,sK3,sK4),sK3)
& element(sK4,the_carrier(sK2))
& element(sK3,the_carrier(sK2))
& ~ empty_carrier(sK2)
& meet_commutative(sK2)
& meet_absorbing(sK2)
& latt_str(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f111,f126,f125,f124]) ).
fof(f124,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ below(X0,meet_commut(X0,X1,X2),X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_absorbing(X0)
& latt_str(X0) )
=> ( ? [X1] :
( ? [X2] :
( ~ below(sK2,meet_commut(sK2,X1,X2),X1)
& element(X2,the_carrier(sK2)) )
& element(X1,the_carrier(sK2)) )
& ~ empty_carrier(sK2)
& meet_commutative(sK2)
& meet_absorbing(sK2)
& latt_str(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X1] :
( ? [X2] :
( ~ below(sK2,meet_commut(sK2,X1,X2),X1)
& element(X2,the_carrier(sK2)) )
& element(X1,the_carrier(sK2)) )
=> ( ? [X2] :
( ~ below(sK2,meet_commut(sK2,sK3,X2),sK3)
& element(X2,the_carrier(sK2)) )
& element(sK3,the_carrier(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ? [X2] :
( ~ below(sK2,meet_commut(sK2,sK3,X2),sK3)
& element(X2,the_carrier(sK2)) )
=> ( ~ below(sK2,meet_commut(sK2,sK3,sK4),sK3)
& element(sK4,the_carrier(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ below(X0,meet_commut(X0,X1,X2),X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_absorbing(X0)
& latt_str(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ below(X0,meet_commut(X0,X1,X2),X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& latt_str(X0)
& meet_commutative(X0)
& meet_absorbing(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0)
& meet_commutative(X0)
& meet_absorbing(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] :
( ( ~ empty_carrier(X0)
& latt_str(X0)
& meet_commutative(X0)
& meet_absorbing(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_lattices) ).
fof(f301,plain,
! [X0] :
( ~ element(X0,the_carrier(sK2))
| meet(sK2,sK3,X0) = meet_commut(sK2,sK3,X0) ),
inference(subsumption_resolution,[],[f300,f169]) ).
fof(f169,plain,
~ empty_carrier(sK2),
inference(cnf_transformation,[],[f127]) ).
fof(f300,plain,
! [X0] :
( empty_carrier(sK2)
| meet(sK2,sK3,X0) = meet_commut(sK2,sK3,X0)
| ~ element(X0,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f299,f225]) ).
fof(f225,plain,
meet_semilatt_str(sK2),
inference(resolution,[],[f189,f166]) ).
fof(f166,plain,
latt_str(sK2),
inference(cnf_transformation,[],[f127]) ).
fof(f189,plain,
! [X0] :
( ~ latt_str(X0)
| meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ latt_str(X0)
| ( join_semilatt_str(X0)
& meet_semilatt_str(X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( latt_str(X0)
=> ( join_semilatt_str(X0)
& meet_semilatt_str(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f299,plain,
! [X0] :
( ~ meet_semilatt_str(sK2)
| empty_carrier(sK2)
| meet(sK2,sK3,X0) = meet_commut(sK2,sK3,X0)
| ~ element(X0,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f288,f168]) ).
fof(f168,plain,
meet_commutative(sK2),
inference(cnf_transformation,[],[f127]) ).
fof(f288,plain,
! [X0] :
( ~ meet_commutative(sK2)
| ~ meet_semilatt_str(sK2)
| meet(sK2,sK3,X0) = meet_commut(sK2,sK3,X0)
| ~ element(X0,the_carrier(sK2))
| empty_carrier(sK2) ),
inference(resolution,[],[f160,f170]) ).
fof(f170,plain,
element(sK3,the_carrier(sK2)),
inference(cnf_transformation,[],[f127]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ meet_commutative(X1)
| meet(X1,X2,X0) = meet_commut(X1,X2,X0)
| ~ element(X0,the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ meet_semilatt_str(X1)
| meet(X1,X2,X0) = meet_commut(X1,X2,X0)
| ~ meet_commutative(X1)
| ~ element(X0,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( meet(X1,X2,X0) = meet_commut(X1,X2,X0)
| ~ element(X2,the_carrier(X1))
| ~ meet_commutative(X1)
| empty_carrier(X1)
| ~ element(X0,the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ( element(X2,the_carrier(X1))
& meet_commutative(X1)
& ~ empty_carrier(X1)
& element(X0,the_carrier(X1))
& meet_semilatt_str(X1) )
=> meet(X1,X2,X0) = meet_commut(X1,X2,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X2,X0,X1] :
( ( element(X1,the_carrier(X0))
& meet_commutative(X0)
& element(X2,the_carrier(X0))
& ~ empty_carrier(X0)
& meet_semilatt_str(X0) )
=> meet_commut(X0,X1,X2) = meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f172,plain,
~ below(sK2,meet_commut(sK2,sK3,sK4),sK3),
inference(cnf_transformation,[],[f127]) ).
fof(f521,plain,
( below(sK2,meet(sK2,sK3,sK4),sK3)
| ~ element(meet(sK2,sK3,sK4),the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f520,f227]) ).
fof(f227,plain,
join_semilatt_str(sK2),
inference(resolution,[],[f190,f166]) ).
fof(f190,plain,
! [X0] :
( ~ latt_str(X0)
| join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f520,plain,
( ~ join_semilatt_str(sK2)
| below(sK2,meet(sK2,sK3,sK4),sK3)
| ~ element(meet(sK2,sK3,sK4),the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f519,f169]) ).
fof(f519,plain,
( empty_carrier(sK2)
| below(sK2,meet(sK2,sK3,sK4),sK3)
| ~ join_semilatt_str(sK2)
| ~ element(meet(sK2,sK3,sK4),the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f453,f170]) ).
fof(f453,plain,
( ~ element(sK3,the_carrier(sK2))
| ~ join_semilatt_str(sK2)
| empty_carrier(sK2)
| below(sK2,meet(sK2,sK3,sK4),sK3)
| ~ element(meet(sK2,sK3,sK4),the_carrier(sK2)) ),
inference(trivial_inequality_removal,[],[f452]) ).
fof(f452,plain,
( ~ element(sK3,the_carrier(sK2))
| ~ element(meet(sK2,sK3,sK4),the_carrier(sK2))
| ~ join_semilatt_str(sK2)
| sK3 != sK3
| empty_carrier(sK2)
| below(sK2,meet(sK2,sK3,sK4),sK3) ),
inference(superposition,[],[f220,f450]) ).
fof(f450,plain,
sK3 = join(sK2,meet(sK2,sK3,sK4),sK3),
inference(backward_demodulation,[],[f375,f448]) ).
fof(f448,plain,
meet(sK2,sK4,sK3) = meet(sK2,sK3,sK4),
inference(forward_demodulation,[],[f441,f322]) ).
fof(f441,plain,
meet(sK2,sK4,sK3) = meet_commut(sK2,sK3,sK4),
inference(resolution,[],[f434,f171]) ).
fof(f434,plain,
! [X0] :
( ~ element(X0,the_carrier(sK2))
| meet_commut(sK2,sK3,X0) = meet(sK2,X0,sK3) ),
inference(subsumption_resolution,[],[f433,f168]) ).
fof(f433,plain,
! [X0] :
( ~ meet_commutative(sK2)
| meet_commut(sK2,sK3,X0) = meet(sK2,X0,sK3)
| ~ element(X0,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f432,f169]) ).
fof(f432,plain,
! [X0] :
( empty_carrier(sK2)
| meet_commut(sK2,sK3,X0) = meet(sK2,X0,sK3)
| ~ meet_commutative(sK2)
| ~ element(X0,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f425,f225]) ).
fof(f425,plain,
! [X0] :
( ~ meet_semilatt_str(sK2)
| ~ element(X0,the_carrier(sK2))
| empty_carrier(sK2)
| meet_commut(sK2,sK3,X0) = meet(sK2,X0,sK3)
| ~ meet_commutative(sK2) ),
inference(resolution,[],[f223,f170]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| meet_commut(X0,X2,X1) = meet(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0) ),
inference(backward_subsumption_demodulation,[],[f158,f160]) ).
fof(f158,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| ~ element(X2,the_carrier(X0))
| meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X2,X1,X0] :
( ~ meet_semilatt_str(X2)
| ~ meet_commutative(X2)
| ~ element(X0,the_carrier(X2))
| meet_commut(X2,X1,X0) = meet_commut(X2,X0,X1)
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2)) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( meet_commut(X2,X1,X0) = meet_commut(X2,X0,X1)
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2))
| ~ meet_commutative(X2)
| ~ element(X0,the_carrier(X2))
| ~ meet_semilatt_str(X2) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(X2)
& element(X1,the_carrier(X2))
& meet_commutative(X2)
& element(X0,the_carrier(X2))
& meet_semilatt_str(X2) )
=> meet_commut(X2,X1,X0) = meet_commut(X2,X0,X1) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X1,X0] :
( ( ~ empty_carrier(X0)
& meet_commutative(X0)
& element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& meet_semilatt_str(X0) )
=> meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f375,plain,
sK3 = join(sK2,meet(sK2,sK4,sK3),sK3),
inference(resolution,[],[f315,f171]) ).
fof(f315,plain,
! [X0] :
( ~ element(X0,the_carrier(sK2))
| sK3 = join(sK2,meet(sK2,X0,sK3),sK3) ),
inference(subsumption_resolution,[],[f314,f167]) ).
fof(f167,plain,
meet_absorbing(sK2),
inference(cnf_transformation,[],[f127]) ).
fof(f314,plain,
! [X0] :
( sK3 = join(sK2,meet(sK2,X0,sK3),sK3)
| ~ element(X0,the_carrier(sK2))
| ~ meet_absorbing(sK2) ),
inference(subsumption_resolution,[],[f313,f169]) ).
fof(f313,plain,
! [X0] :
( ~ element(X0,the_carrier(sK2))
| empty_carrier(sK2)
| sK3 = join(sK2,meet(sK2,X0,sK3),sK3)
| ~ meet_absorbing(sK2) ),
inference(subsumption_resolution,[],[f303,f166]) ).
fof(f303,plain,
! [X0] :
( sK3 = join(sK2,meet(sK2,X0,sK3),sK3)
| ~ element(X0,the_carrier(sK2))
| ~ latt_str(sK2)
| empty_carrier(sK2)
| ~ meet_absorbing(sK2) ),
inference(resolution,[],[f178,f170]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ latt_str(X0)
| ~ meet_absorbing(X0)
| ~ element(X1,the_carrier(X0))
| join(X0,meet(X0,X1,X2),X2) = X2
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ( ( ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ meet_absorbing(X0) )
& ( meet_absorbing(X0)
| ( join(X0,meet(X0,sK5(X0),sK6(X0)),sK6(X0)) != sK6(X0)
& element(sK6(X0),the_carrier(X0))
& element(sK5(X0),the_carrier(X0)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f131,f133,f132]) ).
fof(f132,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( join(X0,meet(X0,X3,X4),X4) != X4
& element(X4,the_carrier(X0)) )
& element(X3,the_carrier(X0)) )
=> ( ? [X4] :
( join(X0,meet(X0,sK5(X0),X4),X4) != X4
& element(X4,the_carrier(X0)) )
& element(sK5(X0),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0] :
( ? [X4] :
( join(X0,meet(X0,sK5(X0),X4),X4) != X4
& element(X4,the_carrier(X0)) )
=> ( join(X0,meet(X0,sK5(X0),sK6(X0)),sK6(X0)) != sK6(X0)
& element(sK6(X0),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ( ( ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ meet_absorbing(X0) )
& ( meet_absorbing(X0)
| ? [X3] :
( ? [X4] :
( join(X0,meet(X0,X3,X4),X4) != X4
& element(X4,the_carrier(X0)) )
& element(X3,the_carrier(X0)) ) ) ) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ( ( ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ meet_absorbing(X0) )
& ( meet_absorbing(X0)
| ? [X1] :
( ? [X2] :
( join(X0,meet(X0,X1,X2),X2) != X2
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) ) ) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ( ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
<=> meet_absorbing(X0) ) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
<=> meet_absorbing(X0) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ( ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> join(X0,meet(X0,X1,X2),X2) = X2 ) )
<=> meet_absorbing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattices) ).
fof(f220,plain,
! [X2,X0,X1] :
( join(X0,X1,X2) != X2
| empty_carrier(X0)
| ~ join_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| below(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( ( join(X0,X1,X2) = X2
| ~ below(X0,X1,X2) )
& ( below(X0,X1,X2)
| join(X0,X1,X2) != X2 ) ) ) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( join(X0,X1,X2) = X2
<=> below(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( join(X0,X1,X2) = X2
<=> below(X0,X1,X2) ) ) )
| 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))
=> ( join(X0,X1,X2) = X2
<=> below(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).
fof(f509,plain,
spl14_5,
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| spl14_5 ),
inference(subsumption_resolution,[],[f507,f171]) ).
fof(f507,plain,
( ~ element(sK4,the_carrier(sK2))
| spl14_5 ),
inference(subsumption_resolution,[],[f506,f225]) ).
fof(f506,plain,
( ~ meet_semilatt_str(sK2)
| ~ element(sK4,the_carrier(sK2))
| spl14_5 ),
inference(subsumption_resolution,[],[f505,f170]) ).
fof(f505,plain,
( ~ element(sK3,the_carrier(sK2))
| ~ element(sK4,the_carrier(sK2))
| ~ meet_semilatt_str(sK2)
| spl14_5 ),
inference(subsumption_resolution,[],[f464,f169]) ).
fof(f464,plain,
( empty_carrier(sK2)
| ~ meet_semilatt_str(sK2)
| ~ element(sK3,the_carrier(sK2))
| ~ element(sK4,the_carrier(sK2))
| spl14_5 ),
inference(resolution,[],[f165,f344]) ).
fof(f344,plain,
( ~ element(meet(sK2,sK3,sK4),the_carrier(sK2))
| spl14_5 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f165,plain,
! [X2,X0,X1] :
( element(meet(X0,X1,X2),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( element(meet(X0,X1,X2),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X1,X0,X2] :
( element(meet(X1,X0,X2),the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ meet_semilatt_str(X1) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X2,X1] :
( element(meet(X1,X0,X2),the_carrier(X1))
| ~ meet_semilatt_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X0,the_carrier(X1)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X2,X1] :
( ( meet_semilatt_str(X1)
& ~ empty_carrier(X1)
& element(X2,the_carrier(X1))
& element(X0,the_carrier(X1)) )
=> element(meet(X1,X0,X2),the_carrier(X1)) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X0,X2] :
( ( meet_semilatt_str(X0)
& ~ empty_carrier(X0)
& element(X2,the_carrier(X0))
& element(X1,the_carrier(X0)) )
=> element(meet(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_lattices) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU304+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n002.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 15:20:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (17922)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (17930)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.24/0.51 % (17913)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.24/0.52 % (17933)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.24/0.52 % (17935)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.24/0.53 % (17911)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.24/0.53 % (17912)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.24/0.53 % (17910)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.24/0.53 % (17929)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.42/0.53 % (17937)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.53 % (17927)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.53 % (17914)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.42/0.53 % (17910)Refutation not found, incomplete strategy% (17910)------------------------------
% 1.42/0.53 % (17910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53 % (17910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53 % (17910)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.53
% 1.42/0.53 % (17910)Memory used [KB]: 5628
% 1.42/0.53 % (17910)Time elapsed: 0.126 s
% 1.42/0.53 % (17910)Instructions burned: 5 (million)
% 1.42/0.53 % (17910)------------------------------
% 1.42/0.53 % (17910)------------------------------
% 1.42/0.53 % (17936)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.42/0.53 % (17925)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.53 % (17934)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.42/0.54 % (17926)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.54 % (17938)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.42/0.54 % (17918)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.54 % (17931)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.42/0.54 % (17916)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.54 % (17917)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.54 % (17919)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.54 % (17917)Instruction limit reached!
% 1.42/0.54 % (17917)------------------------------
% 1.42/0.54 % (17917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (17920)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.54 % (17917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (17917)Termination reason: Unknown
% 1.42/0.54 % (17917)Termination phase: Blocked clause elimination
% 1.42/0.54
% 1.42/0.54 % (17917)Memory used [KB]: 1023
% 1.42/0.54 % (17917)Time elapsed: 0.004 s
% 1.42/0.54 % (17917)Instructions burned: 3 (million)
% 1.42/0.54 % (17917)------------------------------
% 1.42/0.54 % (17917)------------------------------
% 1.42/0.54 % (17909)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.42/0.54 % (17921)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.54 % (17932)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.42/0.55 % (17928)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.55 TRYING [1]
% 1.42/0.55 TRYING [2]
% 1.42/0.55 % (17923)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.42/0.55 TRYING [1]
% 1.42/0.55 TRYING [2]
% 1.42/0.56 % (17924)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.42/0.56 % (17915)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.57 TRYING [1]
% 1.42/0.57 % (17916)Instruction limit reached!
% 1.42/0.57 % (17916)------------------------------
% 1.42/0.57 % (17916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57 TRYING [2]
% 1.42/0.58 % (17916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58 % (17916)Termination reason: Unknown
% 1.42/0.58 % (17916)Termination phase: Saturation
% 1.42/0.58
% 1.42/0.58 % (17916)Memory used [KB]: 5628
% 1.42/0.58 % (17916)Time elapsed: 0.135 s
% 1.42/0.58 % (17916)Instructions burned: 8 (million)
% 1.42/0.58 % (17916)------------------------------
% 1.42/0.58 % (17916)------------------------------
% 1.42/0.58 % (17929)First to succeed.
% 1.42/0.58 % (17929)Refutation found. Thanks to Tanya!
% 1.42/0.58 % SZS status Theorem for theBenchmark
% 1.42/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.58 % (17929)------------------------------
% 1.42/0.58 % (17929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58 % (17929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58 % (17929)Termination reason: Refutation
% 1.42/0.58
% 1.42/0.58 % (17929)Memory used [KB]: 5884
% 1.42/0.58 % (17929)Time elapsed: 0.156 s
% 1.42/0.58 % (17929)Instructions burned: 20 (million)
% 1.42/0.58 % (17929)------------------------------
% 1.42/0.58 % (17929)------------------------------
% 1.42/0.58 % (17908)Success in time 0.228 s
%------------------------------------------------------------------------------