TSTP Solution File: SEU346+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU346+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 : n026.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 18:33:20 EDT 2022
% Result : Theorem 2.23s 0.72s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 24
% Syntax : Number of formulae : 214 ( 37 unt; 0 def)
% Number of atoms : 791 ( 79 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 924 ( 347 ~; 400 |; 129 &)
% ( 13 <=>; 33 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-4 aty)
% Number of variables : 213 ( 192 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1720,plain,
$false,
inference(subsumption_resolution,[],[f1718,f1707]) ).
fof(f1707,plain,
~ below_refl(sK16,sK17,sK18),
inference(resolution,[],[f1704,f698]) ).
fof(f698,plain,
( ~ related_reflexive(sF23,sK17,sK18)
| ~ below_refl(sK16,sK17,sK18) ),
inference(backward_demodulation,[],[f695,f697]) ).
fof(f697,plain,
sF25 = sK18,
inference(backward_demodulation,[],[f459,f689]) ).
fof(f689,plain,
sK18 = cast_to_el_of_LattPOSet(sK16,sK18),
inference(resolution,[],[f681,f456]) ).
fof(f456,plain,
element(sK18,sF22),
inference(definition_folding,[],[f428,f454]) ).
fof(f454,plain,
sF22 = the_carrier(sK16),
introduced(function_definition,[]) ).
fof(f428,plain,
element(sK18,the_carrier(sK16)),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
( ~ empty_carrier(sK16)
& lattice(sK16)
& element(sK17,the_carrier(sK16))
& element(sK18,the_carrier(sK16))
& ( ~ below_refl(sK16,sK17,sK18)
| ~ related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,sK17),cast_to_el_of_LattPOSet(sK16,sK18)) )
& ( below_refl(sK16,sK17,sK18)
| related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,sK17),cast_to_el_of_LattPOSet(sK16,sK18)) )
& latt_str(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f276,f279,f278,f277]) ).
fof(f277,plain,
( ? [X0] :
( ~ empty_carrier(X0)
& lattice(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( element(X2,the_carrier(X0))
& ( ~ below_refl(X0,X1,X2)
| ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
& ( below_refl(X0,X1,X2)
| related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) ) ) )
& latt_str(X0) )
=> ( ~ empty_carrier(sK16)
& lattice(sK16)
& ? [X1] :
( element(X1,the_carrier(sK16))
& ? [X2] :
( element(X2,the_carrier(sK16))
& ( ~ below_refl(sK16,X1,X2)
| ~ related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,X1),cast_to_el_of_LattPOSet(sK16,X2)) )
& ( below_refl(sK16,X1,X2)
| related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,X1),cast_to_el_of_LattPOSet(sK16,X2)) ) ) )
& latt_str(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
( ? [X1] :
( element(X1,the_carrier(sK16))
& ? [X2] :
( element(X2,the_carrier(sK16))
& ( ~ below_refl(sK16,X1,X2)
| ~ related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,X1),cast_to_el_of_LattPOSet(sK16,X2)) )
& ( below_refl(sK16,X1,X2)
| related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,X1),cast_to_el_of_LattPOSet(sK16,X2)) ) ) )
=> ( element(sK17,the_carrier(sK16))
& ? [X2] :
( element(X2,the_carrier(sK16))
& ( ~ below_refl(sK16,sK17,X2)
| ~ related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,sK17),cast_to_el_of_LattPOSet(sK16,X2)) )
& ( below_refl(sK16,sK17,X2)
| related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,sK17),cast_to_el_of_LattPOSet(sK16,X2)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
( ? [X2] :
( element(X2,the_carrier(sK16))
& ( ~ below_refl(sK16,sK17,X2)
| ~ related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,sK17),cast_to_el_of_LattPOSet(sK16,X2)) )
& ( below_refl(sK16,sK17,X2)
| related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,sK17),cast_to_el_of_LattPOSet(sK16,X2)) ) )
=> ( element(sK18,the_carrier(sK16))
& ( ~ below_refl(sK16,sK17,sK18)
| ~ related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,sK17),cast_to_el_of_LattPOSet(sK16,sK18)) )
& ( below_refl(sK16,sK17,sK18)
| related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,sK17),cast_to_el_of_LattPOSet(sK16,sK18)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
? [X0] :
( ~ empty_carrier(X0)
& lattice(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( element(X2,the_carrier(X0))
& ( ~ below_refl(X0,X1,X2)
| ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
& ( below_refl(X0,X1,X2)
| related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) ) ) )
& latt_str(X0) ),
inference(flattening,[],[f275]) ).
fof(f275,plain,
? [X0] :
( ~ empty_carrier(X0)
& lattice(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( element(X2,the_carrier(X0))
& ( ~ below_refl(X0,X1,X2)
| ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
& ( below_refl(X0,X1,X2)
| related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) ) ) )
& latt_str(X0) ),
inference(nnf_transformation,[],[f201]) ).
fof(f201,plain,
? [X0] :
( ~ empty_carrier(X0)
& lattice(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( element(X2,the_carrier(X0))
& ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
<~> below_refl(X0,X1,X2) ) ) )
& latt_str(X0) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
? [X0] :
( ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( element(X2,the_carrier(X0))
& ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
<~> below_refl(X0,X1,X2) ) ) )
& ~ empty_carrier(X0)
& latt_str(X0)
& lattice(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0)
& lattice(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
<=> below_refl(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[],[f92]) ).
fof(f92,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0)
& lattice(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
<=> below_refl(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_lattice3) ).
fof(f681,plain,
! [X0] :
( ~ element(X0,sF22)
| cast_to_el_of_LattPOSet(sK16,X0) = X0 ),
inference(forward_demodulation,[],[f680,f454]) ).
fof(f680,plain,
! [X0] :
( cast_to_el_of_LattPOSet(sK16,X0) = X0
| ~ element(X0,the_carrier(sK16)) ),
inference(subsumption_resolution,[],[f679,f425]) ).
fof(f425,plain,
latt_str(sK16),
inference(cnf_transformation,[],[f280]) ).
fof(f679,plain,
! [X0] :
( ~ latt_str(sK16)
| ~ element(X0,the_carrier(sK16))
| cast_to_el_of_LattPOSet(sK16,X0) = X0 ),
inference(subsumption_resolution,[],[f677,f431]) ).
fof(f431,plain,
~ empty_carrier(sK16),
inference(cnf_transformation,[],[f280]) ).
fof(f677,plain,
! [X0] :
( empty_carrier(sK16)
| ~ element(X0,the_carrier(sK16))
| cast_to_el_of_LattPOSet(sK16,X0) = X0
| ~ latt_str(sK16) ),
inference(resolution,[],[f304,f430]) ).
fof(f430,plain,
lattice(sK16),
inference(cnf_transformation,[],[f280]) ).
fof(f304,plain,
! [X0,X1] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( lattice(X0)
& ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattice3) ).
fof(f459,plain,
sF25 = cast_to_el_of_LattPOSet(sK16,sK18),
introduced(function_definition,[]) ).
fof(f695,plain,
( ~ below_refl(sK16,sK17,sK18)
| ~ related_reflexive(sF23,sK17,sF25) ),
inference(backward_demodulation,[],[f460,f694]) ).
fof(f694,plain,
sF24 = sK17,
inference(backward_demodulation,[],[f458,f688]) ).
fof(f688,plain,
cast_to_el_of_LattPOSet(sK16,sK17) = sK17,
inference(resolution,[],[f681,f455]) ).
fof(f455,plain,
element(sK17,sF22),
inference(definition_folding,[],[f429,f454]) ).
fof(f429,plain,
element(sK17,the_carrier(sK16)),
inference(cnf_transformation,[],[f280]) ).
fof(f458,plain,
sF24 = cast_to_el_of_LattPOSet(sK16,sK17),
introduced(function_definition,[]) ).
fof(f460,plain,
( ~ related_reflexive(sF23,sF24,sF25)
| ~ below_refl(sK16,sK17,sK18) ),
inference(definition_folding,[],[f427,f459,f458,f457]) ).
fof(f457,plain,
sF23 = poset_of_lattice(sK16),
introduced(function_definition,[]) ).
fof(f427,plain,
( ~ below_refl(sK16,sK17,sK18)
| ~ related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,sK17),cast_to_el_of_LattPOSet(sK16,sK18)) ),
inference(cnf_transformation,[],[f280]) ).
fof(f1704,plain,
related_reflexive(sF23,sK17,sK18),
inference(subsumption_resolution,[],[f1703,f456]) ).
fof(f1703,plain,
( ~ element(sK18,sF22)
| related_reflexive(sF23,sK17,sK18) ),
inference(forward_demodulation,[],[f1702,f715]) ).
fof(f715,plain,
sF22 = the_carrier(sF23),
inference(trivial_inequality_removal,[],[f711]) ).
fof(f711,plain,
( sF22 = the_carrier(sF23)
| sF23 != sF23 ),
inference(superposition,[],[f673,f588]) ).
fof(f588,plain,
rel_str_of(the_carrier(sF23),the_InternalRel(sF23)) = sF23,
inference(subsumption_resolution,[],[f587,f501]) ).
fof(f501,plain,
rel_str(sF23),
inference(subsumption_resolution,[],[f500,f425]) ).
fof(f500,plain,
( rel_str(sF23)
| ~ latt_str(sK16) ),
inference(subsumption_resolution,[],[f499,f431]) ).
fof(f499,plain,
( empty_carrier(sK16)
| ~ latt_str(sK16)
| rel_str(sF23) ),
inference(subsumption_resolution,[],[f498,f430]) ).
fof(f498,plain,
( rel_str(sF23)
| ~ lattice(sK16)
| empty_carrier(sK16)
| ~ latt_str(sK16) ),
inference(superposition,[],[f310,f457]) ).
fof(f310,plain,
! [X0] :
( rel_str(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) )
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) )
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0)
& lattice(X0) )
=> ( transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_lattice3) ).
fof(f587,plain,
( rel_str_of(the_carrier(sF23),the_InternalRel(sF23)) = sF23
| ~ rel_str(sF23) ),
inference(resolution,[],[f339,f516]) ).
fof(f516,plain,
strict_rel_str(sF23),
inference(subsumption_resolution,[],[f515,f430]) ).
fof(f515,plain,
( strict_rel_str(sF23)
| ~ lattice(sK16) ),
inference(subsumption_resolution,[],[f514,f431]) ).
fof(f514,plain,
( empty_carrier(sK16)
| strict_rel_str(sF23)
| ~ lattice(sK16) ),
inference(subsumption_resolution,[],[f513,f425]) ).
fof(f513,plain,
( strict_rel_str(sF23)
| ~ latt_str(sK16)
| ~ lattice(sK16)
| empty_carrier(sK16) ),
inference(superposition,[],[f323,f457]) ).
fof(f323,plain,
! [X0] :
( strict_rel_str(poset_of_lattice(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ~ latt_str(X0)
| ( reflexive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0)) )
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ( reflexive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ( reflexive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lattice3) ).
fof(f339,plain,
! [X0] :
( ~ strict_rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ~ rel_str(X0)
| ~ strict_rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ( strict_rel_str(X0)
=> rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(f673,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sF23
| sF22 = X0 ),
inference(backward_demodulation,[],[f661,f672]) ).
fof(f672,plain,
sF23 = rel_str_of(sF22,k2_lattice3(sK16)),
inference(forward_demodulation,[],[f671,f454]) ).
fof(f671,plain,
rel_str_of(the_carrier(sK16),k2_lattice3(sK16)) = sF23,
inference(forward_demodulation,[],[f670,f457]) ).
fof(f670,plain,
rel_str_of(the_carrier(sK16),k2_lattice3(sK16)) = poset_of_lattice(sK16),
inference(subsumption_resolution,[],[f669,f431]) ).
fof(f669,plain,
( rel_str_of(the_carrier(sK16),k2_lattice3(sK16)) = poset_of_lattice(sK16)
| empty_carrier(sK16) ),
inference(subsumption_resolution,[],[f665,f425]) ).
fof(f665,plain,
( ~ latt_str(sK16)
| rel_str_of(the_carrier(sK16),k2_lattice3(sK16)) = poset_of_lattice(sK16)
| empty_carrier(sK16) ),
inference(resolution,[],[f410,f430]) ).
fof(f410,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( empty_carrier(X0)
| poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0] :
( poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0)
& lattice(X0) )
=> poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattice3) ).
fof(f661,plain,
! [X0,X1] :
( sF22 = X0
| rel_str_of(X0,X1) != rel_str_of(sF22,k2_lattice3(sK16)) ),
inference(resolution,[],[f654,f362]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2(X0,X1,X1)
| rel_str_of(X2,X3) != rel_str_of(X1,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0,X1] :
( ! [X2,X3] :
( rel_str_of(X2,X3) != rel_str_of(X1,X0)
| ( X1 = X2
& X0 = X3 ) )
| ~ relation_of2(X0,X1,X1) ),
inference(rectify,[],[f197]) ).
fof(f197,plain,
! [X1,X0] :
( ! [X2,X3] :
( rel_str_of(X0,X1) != rel_str_of(X2,X3)
| ( X0 = X2
& X1 = X3 ) )
| ~ relation_of2(X1,X0,X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X1,X0] :
( relation_of2(X1,X0,X0)
=> ! [X2,X3] :
( rel_str_of(X0,X1) = rel_str_of(X2,X3)
=> ( X0 = X2
& X1 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f654,plain,
relation_of2(k2_lattice3(sK16),sF22,sF22),
inference(resolution,[],[f645,f403]) ).
fof(f403,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X2,X1)
| relation_of2(X0,X2,X1) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X0,X2,X1)
| ~ relation_of2(X0,X2,X1) )
& ( relation_of2(X0,X2,X1)
| ~ relation_of2_as_subset(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( relation_of2_as_subset(X0,X2,X1)
<=> relation_of2(X0,X2,X1) ),
inference(rectify,[],[f78]) ).
fof(f78,axiom,
! [X2,X1,X0] :
( relation_of2(X2,X0,X1)
<=> relation_of2_as_subset(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f645,plain,
relation_of2_as_subset(k2_lattice3(sK16),sF22,sF22),
inference(subsumption_resolution,[],[f644,f425]) ).
fof(f644,plain,
( relation_of2_as_subset(k2_lattice3(sK16),sF22,sF22)
| ~ latt_str(sK16) ),
inference(subsumption_resolution,[],[f643,f431]) ).
fof(f643,plain,
( empty_carrier(sK16)
| ~ latt_str(sK16)
| relation_of2_as_subset(k2_lattice3(sK16),sF22,sF22) ),
inference(subsumption_resolution,[],[f642,f430]) ).
fof(f642,plain,
( relation_of2_as_subset(k2_lattice3(sK16),sF22,sF22)
| ~ lattice(sK16)
| empty_carrier(sK16)
| ~ latt_str(sK16) ),
inference(superposition,[],[f302,f454]) ).
fof(f302,plain,
! [X0] :
( relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ( transitive(k2_lattice3(X0))
& relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& antisymmetric(k2_lattice3(X0))
& v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& reflexive(k2_lattice3(X0)) ) ),
inference(flattening,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ( transitive(k2_lattice3(X0))
& relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& antisymmetric(k2_lattice3(X0))
& v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& reflexive(k2_lattice3(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> ( transitive(k2_lattice3(X0))
& relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& antisymmetric(k2_lattice3(X0))
& v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& reflexive(k2_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_lattice3) ).
fof(f1702,plain,
( related_reflexive(sF23,sK17,sK18)
| ~ element(sK18,the_carrier(sF23)) ),
inference(subsumption_resolution,[],[f1701,f455]) ).
fof(f1701,plain,
( ~ element(sK18,the_carrier(sF23))
| ~ element(sK17,sF22)
| related_reflexive(sF23,sK17,sK18) ),
inference(forward_demodulation,[],[f1700,f715]) ).
fof(f1700,plain,
( ~ element(sK17,the_carrier(sF23))
| ~ element(sK18,the_carrier(sF23))
| related_reflexive(sF23,sK17,sK18) ),
inference(subsumption_resolution,[],[f1699,f525]) ).
fof(f525,plain,
reflexive_relstr(sF23),
inference(subsumption_resolution,[],[f524,f431]) ).
fof(f524,plain,
( empty_carrier(sK16)
| reflexive_relstr(sF23) ),
inference(subsumption_resolution,[],[f523,f430]) ).
fof(f523,plain,
( ~ lattice(sK16)
| reflexive_relstr(sF23)
| empty_carrier(sK16) ),
inference(subsumption_resolution,[],[f522,f425]) ).
fof(f522,plain,
( ~ latt_str(sK16)
| reflexive_relstr(sF23)
| ~ lattice(sK16)
| empty_carrier(sK16) ),
inference(superposition,[],[f325,f457]) ).
fof(f325,plain,
! [X0] :
( reflexive_relstr(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f1699,plain,
( ~ element(sK17,the_carrier(sF23))
| ~ element(sK18,the_carrier(sF23))
| related_reflexive(sF23,sK17,sK18)
| ~ reflexive_relstr(sF23) ),
inference(subsumption_resolution,[],[f1698,f512]) ).
fof(f512,plain,
~ empty_carrier(sF23),
inference(subsumption_resolution,[],[f511,f431]) ).
fof(f511,plain,
( ~ empty_carrier(sF23)
| empty_carrier(sK16) ),
inference(subsumption_resolution,[],[f510,f425]) ).
fof(f510,plain,
( ~ latt_str(sK16)
| empty_carrier(sK16)
| ~ empty_carrier(sF23) ),
inference(subsumption_resolution,[],[f509,f430]) ).
fof(f509,plain,
( ~ lattice(sK16)
| ~ latt_str(sK16)
| ~ empty_carrier(sF23)
| empty_carrier(sK16) ),
inference(superposition,[],[f322,f457]) ).
fof(f322,plain,
! [X0] :
( ~ empty_carrier(poset_of_lattice(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f1698,plain,
( related_reflexive(sF23,sK17,sK18)
| empty_carrier(sF23)
| ~ element(sK17,the_carrier(sF23))
| ~ element(sK18,the_carrier(sF23))
| ~ reflexive_relstr(sF23) ),
inference(subsumption_resolution,[],[f1691,f501]) ).
fof(f1691,plain,
( ~ rel_str(sF23)
| ~ element(sK18,the_carrier(sF23))
| related_reflexive(sF23,sK17,sK18)
| ~ element(sK17,the_carrier(sF23))
| ~ reflexive_relstr(sF23)
| empty_carrier(sF23) ),
inference(resolution,[],[f1688,f440]) ).
fof(f440,plain,
! [X2,X0,X1] :
( ~ related(X2,X0,X1)
| ~ rel_str(X2)
| ~ element(X1,the_carrier(X2))
| related_reflexive(X2,X0,X1)
| ~ reflexive_relstr(X2)
| ~ element(X0,the_carrier(X2))
| empty_carrier(X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2] :
( empty_carrier(X2)
| ~ rel_str(X2)
| ( ( related(X2,X0,X1)
| ~ related_reflexive(X2,X0,X1) )
& ( related_reflexive(X2,X0,X1)
| ~ related(X2,X0,X1) ) )
| ~ element(X0,the_carrier(X2))
| ~ reflexive_relstr(X2)
| ~ element(X1,the_carrier(X2)) ),
inference(rectify,[],[f283]) ).
fof(f283,plain,
! [X0,X2,X1] :
( empty_carrier(X1)
| ~ rel_str(X1)
| ( ( related(X1,X0,X2)
| ~ related_reflexive(X1,X0,X2) )
& ( related_reflexive(X1,X0,X2)
| ~ related(X1,X0,X2) ) )
| ~ element(X0,the_carrier(X1))
| ~ reflexive_relstr(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(nnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X2,X1] :
( empty_carrier(X1)
| ~ rel_str(X1)
| ( related(X1,X0,X2)
<=> related_reflexive(X1,X0,X2) )
| ~ element(X0,the_carrier(X1))
| ~ reflexive_relstr(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(flattening,[],[f184]) ).
fof(f184,plain,
! [X0,X2,X1] :
( ( related(X1,X0,X2)
<=> related_reflexive(X1,X0,X2) )
| ~ reflexive_relstr(X1)
| ~ element(X0,the_carrier(X1))
| ~ rel_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X2,X1] :
( ( reflexive_relstr(X1)
& element(X0,the_carrier(X1))
& rel_str(X1)
& ~ empty_carrier(X1)
& element(X2,the_carrier(X1)) )
=> ( related(X1,X0,X2)
<=> related_reflexive(X1,X0,X2) ) ),
inference(rectify,[],[f80]) ).
fof(f80,axiom,
! [X1,X0,X2] :
( ( reflexive_relstr(X0)
& rel_str(X0)
& ~ empty_carrier(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> ( related(X0,X1,X2)
<=> related_reflexive(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).
fof(f1688,plain,
related(sF23,sK17,sK18),
inference(subsumption_resolution,[],[f1687,f455]) ).
fof(f1687,plain,
( ~ element(sK17,sF22)
| related(sF23,sK17,sK18) ),
inference(forward_demodulation,[],[f1686,f715]) ).
fof(f1686,plain,
( ~ element(sK17,the_carrier(sF23))
| related(sF23,sK17,sK18) ),
inference(subsumption_resolution,[],[f1685,f456]) ).
fof(f1685,plain,
( ~ element(sK18,sF22)
| ~ element(sK17,the_carrier(sF23))
| related(sF23,sK17,sK18) ),
inference(forward_demodulation,[],[f1684,f715]) ).
fof(f1684,plain,
( ~ element(sK18,the_carrier(sF23))
| related(sF23,sK17,sK18)
| ~ element(sK17,the_carrier(sF23)) ),
inference(subsumption_resolution,[],[f1683,f501]) ).
fof(f1683,plain,
( ~ rel_str(sF23)
| ~ element(sK17,the_carrier(sF23))
| related(sF23,sK17,sK18)
| ~ element(sK18,the_carrier(sF23)) ),
inference(duplicate_literal_removal,[],[f1679]) ).
fof(f1679,plain,
( ~ element(sK17,the_carrier(sF23))
| related(sF23,sK17,sK18)
| related(sF23,sK17,sK18)
| ~ rel_str(sF23)
| ~ element(sK18,the_carrier(sF23)) ),
inference(resolution,[],[f1646,f446]) ).
fof(f446,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| related(X0,X1,X2) ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ! [X2] :
( ( ( related(X0,X1,X2)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0)) )
& ( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(nnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ! [X2] :
( ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f1646,plain,
( in(ordered_pair(sK17,sK18),the_InternalRel(sF23))
| related(sF23,sK17,sK18) ),
inference(backward_demodulation,[],[f932,f1645]) ).
fof(f1645,plain,
ordered_pair(sK17,sK18) = ordered_pair_as_product_element(sF22,sF22,sK17,sK18),
inference(subsumption_resolution,[],[f1642,f425]) ).
fof(f1642,plain,
( ~ latt_str(sK16)
| ordered_pair(sK17,sK18) = ordered_pair_as_product_element(sF22,sF22,sK17,sK18) ),
inference(resolution,[],[f1313,f464]) ).
fof(f464,plain,
! [X0] :
( one_sorted_str(X0)
| ~ latt_str(X0) ),
inference(resolution,[],[f450,f341]) ).
fof(f341,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( one_sorted_str(X0)
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( join_semilatt_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f450,plain,
! [X0] :
( join_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ( join_semilatt_str(X0)
& meet_semilatt_str(X0) )
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( latt_str(X0)
=> ( join_semilatt_str(X0)
& meet_semilatt_str(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f1313,plain,
( ~ one_sorted_str(sK16)
| ordered_pair(sK17,sK18) = ordered_pair_as_product_element(sF22,sF22,sK17,sK18) ),
inference(resolution,[],[f1036,f473]) ).
fof(f473,plain,
( ~ empty(sF22)
| ~ one_sorted_str(sK16) ),
inference(subsumption_resolution,[],[f472,f431]) ).
fof(f472,plain,
( ~ one_sorted_str(sK16)
| ~ empty(sF22)
| empty_carrier(sK16) ),
inference(superposition,[],[f376,f454]) ).
fof(f376,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| empty_carrier(X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f1036,plain,
( empty(sF22)
| ordered_pair(sK17,sK18) = ordered_pair_as_product_element(sF22,sF22,sK17,sK18) ),
inference(duplicate_literal_removal,[],[f1030]) ).
fof(f1030,plain,
( ordered_pair(sK17,sK18) = ordered_pair_as_product_element(sF22,sF22,sK17,sK18)
| empty(sF22)
| empty(sF22) ),
inference(resolution,[],[f820,f455]) ).
fof(f820,plain,
! [X34,X35] :
( ~ element(X34,X35)
| empty(X35)
| empty(sF22)
| ordered_pair_as_product_element(X35,sF22,X34,sK18) = ordered_pair(X34,sK18) ),
inference(resolution,[],[f368,f456]) ).
fof(f368,plain,
! [X2,X3,X0,X1] :
( ~ element(X2,X1)
| ordered_pair(X0,X2) = ordered_pair_as_product_element(X3,X1,X0,X2)
| ~ element(X0,X3)
| empty(X1)
| empty(X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0,X1,X2,X3] :
( empty(X1)
| ordered_pair(X0,X2) = ordered_pair_as_product_element(X3,X1,X0,X2)
| ~ element(X0,X3)
| ~ element(X2,X1)
| empty(X3) ),
inference(rectify,[],[f157]) ).
fof(f157,plain,
! [X2,X0,X1,X3] :
( empty(X0)
| ordered_pair_as_product_element(X3,X0,X2,X1) = ordered_pair(X2,X1)
| ~ element(X2,X3)
| ~ element(X1,X0)
| empty(X3) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X2,X0,X3,X1] :
( ordered_pair_as_product_element(X3,X0,X2,X1) = ordered_pair(X2,X1)
| empty(X3)
| ~ element(X2,X3)
| ~ element(X1,X0)
| empty(X0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X2,X0,X3,X1] :
( ( ~ empty(X3)
& element(X2,X3)
& element(X1,X0)
& ~ empty(X0) )
=> ordered_pair_as_product_element(X3,X0,X2,X1) = ordered_pair(X2,X1) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
! [X1,X3,X2,X0] :
( ( ~ empty(X1)
& element(X2,X0)
& element(X3,X1)
& ~ empty(X0) )
=> ordered_pair_as_product_element(X0,X1,X2,X3) = ordered_pair(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_domain_1) ).
fof(f932,plain,
( related(sF23,sK17,sK18)
| in(ordered_pair_as_product_element(sF22,sF22,sK17,sK18),the_InternalRel(sF23)) ),
inference(forward_demodulation,[],[f931,f454]) ).
fof(f931,plain,
( in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),sK17,sK18),the_InternalRel(sF23))
| related(sF23,sK17,sK18) ),
inference(forward_demodulation,[],[f930,f847]) ).
fof(f847,plain,
the_InternalRel(sF23) = relation_of_lattice(sK16),
inference(backward_demodulation,[],[f601,f846]) ).
fof(f846,plain,
the_InternalRel(sF23) = k2_lattice3(sK16),
inference(trivial_inequality_removal,[],[f845]) ).
fof(f845,plain,
( sF23 != sF23
| the_InternalRel(sF23) = k2_lattice3(sK16) ),
inference(superposition,[],[f675,f716]) ).
fof(f716,plain,
rel_str_of(sF22,the_InternalRel(sF23)) = sF23,
inference(backward_demodulation,[],[f588,f715]) ).
fof(f675,plain,
! [X2,X3] :
( rel_str_of(X2,X3) != sF23
| k2_lattice3(sK16) = X3 ),
inference(backward_demodulation,[],[f662,f672]) ).
fof(f662,plain,
! [X2,X3] :
( rel_str_of(X2,X3) != rel_str_of(sF22,k2_lattice3(sK16))
| k2_lattice3(sK16) = X3 ),
inference(resolution,[],[f654,f361]) ).
fof(f361,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2(X0,X1,X1)
| rel_str_of(X2,X3) != rel_str_of(X1,X0)
| X0 = X3 ),
inference(cnf_transformation,[],[f255]) ).
fof(f601,plain,
k2_lattice3(sK16) = relation_of_lattice(sK16),
inference(subsumption_resolution,[],[f600,f431]) ).
fof(f600,plain,
( k2_lattice3(sK16) = relation_of_lattice(sK16)
| empty_carrier(sK16) ),
inference(subsumption_resolution,[],[f598,f425]) ).
fof(f598,plain,
( ~ latt_str(sK16)
| k2_lattice3(sK16) = relation_of_lattice(sK16)
| empty_carrier(sK16) ),
inference(resolution,[],[f381,f430]) ).
fof(f381,plain,
! [X0] :
( ~ lattice(X0)
| k2_lattice3(X0) = relation_of_lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( k2_lattice3(X0) = relation_of_lattice(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( k2_lattice3(X0) = relation_of_lattice(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> k2_lattice3(X0) = relation_of_lattice(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_lattice3) ).
fof(f930,plain,
( in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),sK17,sK18),relation_of_lattice(sK16))
| related(sF23,sK17,sK18) ),
inference(subsumption_resolution,[],[f929,f455]) ).
fof(f929,plain,
( ~ element(sK17,sF22)
| in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),sK17,sK18),relation_of_lattice(sK16))
| related(sF23,sK17,sK18) ),
inference(forward_demodulation,[],[f928,f454]) ).
fof(f928,plain,
( ~ element(sK17,the_carrier(sK16))
| in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),sK17,sK18),relation_of_lattice(sK16))
| related(sF23,sK17,sK18) ),
inference(subsumption_resolution,[],[f927,f456]) ).
fof(f927,plain,
( related(sF23,sK17,sK18)
| ~ element(sK18,sF22)
| in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),sK17,sK18),relation_of_lattice(sK16))
| ~ element(sK17,the_carrier(sK16)) ),
inference(forward_demodulation,[],[f926,f454]) ).
fof(f926,plain,
( ~ element(sK18,the_carrier(sK16))
| in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),sK17,sK18),relation_of_lattice(sK16))
| ~ element(sK17,the_carrier(sK16))
| related(sF23,sK17,sK18) ),
inference(subsumption_resolution,[],[f925,f431]) ).
fof(f925,plain,
( ~ element(sK18,the_carrier(sK16))
| empty_carrier(sK16)
| ~ element(sK17,the_carrier(sK16))
| in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),sK17,sK18),relation_of_lattice(sK16))
| related(sF23,sK17,sK18) ),
inference(subsumption_resolution,[],[f924,f425]) ).
fof(f924,plain,
( ~ element(sK18,the_carrier(sK16))
| ~ latt_str(sK16)
| related(sF23,sK17,sK18)
| ~ element(sK17,the_carrier(sK16))
| in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),sK17,sK18),relation_of_lattice(sK16))
| empty_carrier(sK16) ),
inference(subsumption_resolution,[],[f923,f430]) ).
fof(f923,plain,
( ~ element(sK17,the_carrier(sK16))
| in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),sK17,sK18),relation_of_lattice(sK16))
| ~ lattice(sK16)
| ~ latt_str(sK16)
| empty_carrier(sK16)
| related(sF23,sK17,sK18)
| ~ element(sK18,the_carrier(sK16)) ),
inference(resolution,[],[f869,f314]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ below_refl(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ! [X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( ( below_refl(X0,X1,X2)
| ~ in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0)) )
& ( in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
| ~ below_refl(X0,X1,X2) ) ) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(nnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ! [X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( below_refl(X0,X1,X2)
<=> in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0)) ) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( below_refl(X0,X1,X2)
<=> in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ( lattice(X0)
& latt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below_refl(X0,X1,X2)
<=> in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_filter_1) ).
fof(f869,plain,
( below_refl(sK16,sK17,sK18)
| related(sF23,sK17,sK18) ),
inference(subsumption_resolution,[],[f868,f455]) ).
fof(f868,plain,
( ~ element(sK17,sF22)
| related(sF23,sK17,sK18)
| below_refl(sK16,sK17,sK18) ),
inference(forward_demodulation,[],[f867,f715]) ).
fof(f867,plain,
( related(sF23,sK17,sK18)
| ~ element(sK17,the_carrier(sF23))
| below_refl(sK16,sK17,sK18) ),
inference(subsumption_resolution,[],[f866,f456]) ).
fof(f866,plain,
( related(sF23,sK17,sK18)
| ~ element(sK17,the_carrier(sF23))
| below_refl(sK16,sK17,sK18)
| ~ element(sK18,sF22) ),
inference(forward_demodulation,[],[f865,f715]) ).
fof(f865,plain,
( ~ element(sK18,the_carrier(sF23))
| ~ element(sK17,the_carrier(sF23))
| below_refl(sK16,sK17,sK18)
| related(sF23,sK17,sK18) ),
inference(subsumption_resolution,[],[f864,f501]) ).
fof(f864,plain,
( related(sF23,sK17,sK18)
| ~ element(sK17,the_carrier(sF23))
| below_refl(sK16,sK17,sK18)
| ~ element(sK18,the_carrier(sF23))
| ~ rel_str(sF23) ),
inference(subsumption_resolution,[],[f863,f525]) ).
fof(f863,plain,
( related(sF23,sK17,sK18)
| below_refl(sK16,sK17,sK18)
| ~ reflexive_relstr(sF23)
| ~ element(sK18,the_carrier(sF23))
| ~ element(sK17,the_carrier(sF23))
| ~ rel_str(sF23) ),
inference(subsumption_resolution,[],[f862,f512]) ).
fof(f862,plain,
( related(sF23,sK17,sK18)
| ~ element(sK18,the_carrier(sF23))
| empty_carrier(sF23)
| below_refl(sK16,sK17,sK18)
| ~ element(sK17,the_carrier(sF23))
| ~ rel_str(sF23)
| ~ reflexive_relstr(sF23) ),
inference(resolution,[],[f441,f699]) ).
fof(f699,plain,
( related_reflexive(sF23,sK17,sK18)
| below_refl(sK16,sK17,sK18) ),
inference(backward_demodulation,[],[f696,f697]) ).
fof(f696,plain,
( below_refl(sK16,sK17,sK18)
| related_reflexive(sF23,sK17,sF25) ),
inference(backward_demodulation,[],[f461,f694]) ).
fof(f461,plain,
( related_reflexive(sF23,sF24,sF25)
| below_refl(sK16,sK17,sK18) ),
inference(definition_folding,[],[f426,f459,f458,f457]) ).
fof(f426,plain,
( below_refl(sK16,sK17,sK18)
| related_reflexive(poset_of_lattice(sK16),cast_to_el_of_LattPOSet(sK16,sK17),cast_to_el_of_LattPOSet(sK16,sK18)) ),
inference(cnf_transformation,[],[f280]) ).
fof(f441,plain,
! [X2,X0,X1] :
( ~ related_reflexive(X2,X0,X1)
| related(X2,X0,X1)
| ~ reflexive_relstr(X2)
| empty_carrier(X2)
| ~ element(X0,the_carrier(X2))
| ~ rel_str(X2)
| ~ element(X1,the_carrier(X2)) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1718,plain,
below_refl(sK16,sK17,sK18),
inference(resolution,[],[f1655,f1697]) ).
fof(f1697,plain,
in(ordered_pair(sK17,sK18),the_InternalRel(sF23)),
inference(subsumption_resolution,[],[f1696,f456]) ).
fof(f1696,plain,
( ~ element(sK18,sF22)
| in(ordered_pair(sK17,sK18),the_InternalRel(sF23)) ),
inference(forward_demodulation,[],[f1695,f715]) ).
fof(f1695,plain,
( in(ordered_pair(sK17,sK18),the_InternalRel(sF23))
| ~ element(sK18,the_carrier(sF23)) ),
inference(subsumption_resolution,[],[f1694,f455]) ).
fof(f1694,plain,
( in(ordered_pair(sK17,sK18),the_InternalRel(sF23))
| ~ element(sK18,the_carrier(sF23))
| ~ element(sK17,sF22) ),
inference(forward_demodulation,[],[f1693,f715]) ).
fof(f1693,plain,
( ~ element(sK17,the_carrier(sF23))
| ~ element(sK18,the_carrier(sF23))
| in(ordered_pair(sK17,sK18),the_InternalRel(sF23)) ),
inference(subsumption_resolution,[],[f1692,f501]) ).
fof(f1692,plain,
( ~ element(sK18,the_carrier(sF23))
| ~ element(sK17,the_carrier(sF23))
| ~ rel_str(sF23)
| in(ordered_pair(sK17,sK18),the_InternalRel(sF23)) ),
inference(resolution,[],[f1688,f445]) ).
fof(f445,plain,
! [X2,X0,X1] :
( ~ related(X0,X1,X2)
| in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f1655,plain,
( ~ in(ordered_pair(sK17,sK18),the_InternalRel(sF23))
| below_refl(sK16,sK17,sK18) ),
inference(subsumption_resolution,[],[f1654,f456]) ).
fof(f1654,plain,
( ~ in(ordered_pair(sK17,sK18),the_InternalRel(sF23))
| below_refl(sK16,sK17,sK18)
| ~ element(sK18,sF22) ),
inference(subsumption_resolution,[],[f1647,f455]) ).
fof(f1647,plain,
( ~ element(sK17,sF22)
| ~ element(sK18,sF22)
| below_refl(sK16,sK17,sK18)
| ~ in(ordered_pair(sK17,sK18),the_InternalRel(sF23)) ),
inference(superposition,[],[f904,f1645]) ).
fof(f904,plain,
! [X0,X1] :
( ~ in(ordered_pair_as_product_element(sF22,sF22,X0,X1),the_InternalRel(sF23))
| below_refl(sK16,X0,X1)
| ~ element(X1,sF22)
| ~ element(X0,sF22) ),
inference(forward_demodulation,[],[f903,f454]) ).
fof(f903,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(sK16))
| below_refl(sK16,X0,X1)
| ~ in(ordered_pair_as_product_element(sF22,sF22,X0,X1),the_InternalRel(sF23))
| ~ element(X0,sF22) ),
inference(forward_demodulation,[],[f902,f454]) ).
fof(f902,plain,
! [X0,X1] :
( ~ in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),X0,X1),the_InternalRel(sF23))
| ~ element(X0,sF22)
| below_refl(sK16,X0,X1)
| ~ element(X1,the_carrier(sK16)) ),
inference(forward_demodulation,[],[f901,f847]) ).
fof(f901,plain,
! [X0,X1] :
( ~ in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),X0,X1),relation_of_lattice(sK16))
| below_refl(sK16,X0,X1)
| ~ element(X0,sF22)
| ~ element(X1,the_carrier(sK16)) ),
inference(forward_demodulation,[],[f900,f454]) ).
fof(f900,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK16))
| below_refl(sK16,X0,X1)
| ~ element(X1,the_carrier(sK16))
| ~ in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),X0,X1),relation_of_lattice(sK16)) ),
inference(subsumption_resolution,[],[f899,f431]) ).
fof(f899,plain,
! [X0,X1] :
( ~ in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),X0,X1),relation_of_lattice(sK16))
| ~ element(X0,the_carrier(sK16))
| ~ element(X1,the_carrier(sK16))
| empty_carrier(sK16)
| below_refl(sK16,X0,X1) ),
inference(subsumption_resolution,[],[f894,f425]) ).
fof(f894,plain,
! [X0,X1] :
( ~ in(ordered_pair_as_product_element(the_carrier(sK16),the_carrier(sK16),X0,X1),relation_of_lattice(sK16))
| ~ latt_str(sK16)
| empty_carrier(sK16)
| below_refl(sK16,X0,X1)
| ~ element(X1,the_carrier(sK16))
| ~ element(X0,the_carrier(sK16)) ),
inference(resolution,[],[f315,f430]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ lattice(X0)
| ~ in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| below_refl(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU346+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 15:29:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (18299)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)
% 0.19/0.50 % (18324)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)
% 0.19/0.50 % (18304)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (18316)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (18303)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)
% 0.19/0.51 % (18304)Instruction limit reached!
% 0.19/0.51 % (18304)------------------------------
% 0.19/0.51 % (18304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (18304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (18304)Termination reason: Unknown
% 0.19/0.51 % (18304)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (18304)Memory used [KB]: 5628
% 0.19/0.51 % (18304)Time elapsed: 0.005 s
% 0.19/0.51 % (18304)Instructions burned: 7 (million)
% 0.19/0.51 % (18304)------------------------------
% 0.19/0.51 % (18304)------------------------------
% 0.19/0.51 % (18306)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)
% 0.19/0.51 % (18320)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)
% 0.19/0.51 % (18297)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)
% 0.19/0.51 % (18308)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)
% 0.19/0.52 % (18322)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (18300)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)
% 0.19/0.52 % (18301)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.53 % (18321)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)
% 0.19/0.53 % (18302)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)
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (18311)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)
% 0.19/0.53 % (18298)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)
% 0.19/0.53 % (18325)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)
% 0.19/0.53 % (18326)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (18312)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)
% 0.19/0.54 % (18328)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)
% 0.19/0.54 % (18317)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)
% 0.19/0.54 % (18314)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (18318)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)
% 0.19/0.54 % (18305)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (18305)Instruction limit reached!
% 0.19/0.54 % (18305)------------------------------
% 0.19/0.54 % (18305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (18305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (18305)Termination reason: Unknown
% 0.19/0.54 % (18305)Termination phase: Preprocessing 1
% 0.19/0.54
% 0.19/0.54 % (18305)Memory used [KB]: 1023
% 0.19/0.54 % (18305)Time elapsed: 0.002 s
% 0.19/0.54 TRYING [1]
% 0.19/0.54 % (18305)Instructions burned: 2 (million)
% 0.19/0.54 % (18305)------------------------------
% 0.19/0.54 % (18305)------------------------------
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (18309)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 % (18319)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55 % (18310)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (18307)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (18323)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55 TRYING [3]
% 0.19/0.55 % (18298)Refutation not found, incomplete strategy% (18298)------------------------------
% 0.19/0.55 % (18298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (18298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (18298)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (18298)Memory used [KB]: 5884
% 0.19/0.55 % (18298)Time elapsed: 0.151 s
% 0.19/0.55 % (18298)Instructions burned: 14 (million)
% 0.19/0.55 % (18298)------------------------------
% 0.19/0.55 % (18298)------------------------------
% 0.19/0.55 % (18313)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)
% 0.19/0.56 % (18303)Instruction limit reached!
% 0.19/0.56 % (18303)------------------------------
% 0.19/0.56 % (18303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (18303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (18303)Termination reason: Unknown
% 0.19/0.56 % (18303)Termination phase: Finite model building constraint generation
% 0.19/0.56
% 0.19/0.56 % (18303)Memory used [KB]: 7675
% 0.19/0.56 % (18303)Time elapsed: 0.148 s
% 0.19/0.56 % (18303)Instructions burned: 53 (million)
% 0.19/0.56 % (18303)------------------------------
% 0.19/0.56 % (18303)------------------------------
% 0.19/0.57 % (18299)Instruction limit reached!
% 0.19/0.57 % (18299)------------------------------
% 0.19/0.57 % (18299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (18299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (18299)Termination reason: Unknown
% 0.19/0.57 % (18299)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (18299)Memory used [KB]: 1535
% 0.19/0.57 % (18299)Time elapsed: 0.168 s
% 0.19/0.57 % (18299)Instructions burned: 37 (million)
% 0.19/0.57 % (18299)------------------------------
% 0.19/0.57 % (18299)------------------------------
% 1.81/0.58 TRYING [3]
% 1.81/0.59 TRYING [1]
% 1.81/0.59 TRYING [2]
% 1.81/0.61 % (18371)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.01/0.62 TRYING [3]
% 2.01/0.62 % (18314)Instruction limit reached!
% 2.01/0.62 % (18314)------------------------------
% 2.01/0.62 % (18314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.62 % (18314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62 % (18314)Termination reason: Unknown
% 2.01/0.62 % (18314)Termination phase: Finite model building constraint generation
% 2.01/0.62
% 2.01/0.62 % (18314)Memory used [KB]: 8059
% 2.01/0.62 % (18314)Time elapsed: 0.226 s
% 2.01/0.62 % (18314)Instructions burned: 60 (million)
% 2.01/0.62 % (18314)------------------------------
% 2.01/0.62 % (18314)------------------------------
% 2.01/0.63 % (18306)Instruction limit reached!
% 2.01/0.63 % (18306)------------------------------
% 2.01/0.63 % (18306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63 % (18306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63 % (18306)Termination reason: Unknown
% 2.01/0.63 % (18306)Termination phase: Saturation
% 2.01/0.63
% 2.01/0.63 % (18306)Memory used [KB]: 2174
% 2.01/0.63 % (18306)Time elapsed: 0.220 s
% 2.01/0.63 % (18306)Instructions burned: 51 (million)
% 2.01/0.63 % (18306)------------------------------
% 2.01/0.63 % (18306)------------------------------
% 2.01/0.63 % (18302)Instruction limit reached!
% 2.01/0.63 % (18302)------------------------------
% 2.01/0.63 % (18302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63 % (18302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63 % (18302)Termination reason: Unknown
% 2.01/0.63 % (18302)Termination phase: Saturation
% 2.01/0.63
% 2.01/0.63 % (18302)Memory used [KB]: 6140
% 2.01/0.63 % (18302)Time elapsed: 0.234 s
% 2.01/0.63 % (18302)Instructions burned: 48 (million)
% 2.01/0.63 % (18302)------------------------------
% 2.01/0.63 % (18302)------------------------------
% 2.01/0.63 % (18301)Instruction limit reached!
% 2.01/0.63 % (18301)------------------------------
% 2.01/0.63 % (18301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63 % (18301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63 % (18301)Termination reason: Unknown
% 2.01/0.63 % (18301)Termination phase: Saturation
% 2.01/0.63
% 2.01/0.63 % (18301)Memory used [KB]: 6652
% 2.01/0.63 % (18301)Time elapsed: 0.221 s
% 2.01/0.63 % (18301)Instructions burned: 52 (million)
% 2.01/0.63 % (18301)------------------------------
% 2.01/0.63 % (18301)------------------------------
% 2.23/0.64 % (18311)Instruction limit reached!
% 2.23/0.64 % (18311)------------------------------
% 2.23/0.64 % (18311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.64 % (18311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.64 % (18311)Termination reason: Unknown
% 2.23/0.64 % (18311)Termination phase: Saturation
% 2.23/0.64
% 2.23/0.64 % (18311)Memory used [KB]: 7036
% 2.23/0.64 % (18311)Time elapsed: 0.040 s
% 2.23/0.64 % (18311)Instructions burned: 68 (million)
% 2.23/0.64 % (18311)------------------------------
% 2.23/0.64 % (18311)------------------------------
% 2.23/0.64 % (18300)Instruction limit reached!
% 2.23/0.64 % (18300)------------------------------
% 2.23/0.64 % (18300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.64 % (18300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.64 % (18300)Termination reason: Unknown
% 2.23/0.64 % (18300)Termination phase: Saturation
% 2.23/0.64
% 2.23/0.64 % (18300)Memory used [KB]: 6652
% 2.23/0.64 % (18300)Time elapsed: 0.241 s
% 2.23/0.64 % (18300)Instructions burned: 51 (million)
% 2.23/0.64 % (18300)------------------------------
% 2.23/0.64 % (18300)------------------------------
% 2.23/0.65 % (18324)Instruction limit reached!
% 2.23/0.65 % (18324)------------------------------
% 2.23/0.65 % (18324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (18324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (18324)Termination reason: Unknown
% 2.23/0.65 % (18324)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (18324)Memory used [KB]: 7036
% 2.23/0.65 % (18324)Time elapsed: 0.040 s
% 2.23/0.65 % (18324)Instructions burned: 69 (million)
% 2.23/0.65 % (18324)------------------------------
% 2.23/0.65 % (18324)------------------------------
% 2.23/0.65 % (18307)Instruction limit reached!
% 2.23/0.65 % (18307)------------------------------
% 2.23/0.65 % (18307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (18307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (18307)Termination reason: Unknown
% 2.23/0.65 % (18307)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (18307)Memory used [KB]: 6652
% 2.23/0.65 % (18307)Time elapsed: 0.259 s
% 2.23/0.65 % (18307)Instructions burned: 50 (million)
% 2.23/0.65 % (18307)------------------------------
% 2.23/0.65 % (18307)------------------------------
% 2.23/0.67 % (18316)Instruction limit reached!
% 2.23/0.67 % (18316)------------------------------
% 2.23/0.67 % (18316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67 % (18316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67 % (18316)Termination reason: Unknown
% 2.23/0.67 % (18316)Termination phase: Saturation
% 2.23/0.67
% 2.23/0.67 % (18316)Memory used [KB]: 7291
% 2.23/0.67 % (18316)Time elapsed: 0.270 s
% 2.23/0.67 % (18316)Instructions burned: 100 (million)
% 2.23/0.67 % (18316)------------------------------
% 2.23/0.67 % (18316)------------------------------
% 2.23/0.67 % (18308)Instruction limit reached!
% 2.23/0.67 % (18308)------------------------------
% 2.23/0.67 % (18308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67 % (18308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67 % (18308)Termination reason: Unknown
% 2.23/0.67 % (18308)Termination phase: Saturation
% 2.23/0.67
% 2.23/0.67 % (18308)Memory used [KB]: 7419
% 2.23/0.67 % (18308)Time elapsed: 0.278 s
% 2.23/0.67 % (18308)Instructions burned: 100 (million)
% 2.23/0.67 % (18308)------------------------------
% 2.23/0.67 % (18308)------------------------------
% 2.23/0.67 % (18380)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.23/0.68 % (18391)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.23/0.68 % (18312)Instruction limit reached!
% 2.23/0.68 % (18312)------------------------------
% 2.23/0.68 % (18312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68 % (18312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68 % (18312)Termination reason: Unknown
% 2.23/0.68 % (18312)Termination phase: Saturation
% 2.23/0.68
% 2.23/0.68 % (18312)Memory used [KB]: 2174
% 2.23/0.68 % (18312)Time elapsed: 0.250 s
% 2.23/0.68 % (18312)Instructions burned: 76 (million)
% 2.23/0.68 % (18312)------------------------------
% 2.23/0.68 % (18312)------------------------------
% 2.23/0.68 % (18387)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.23/0.69 % (18384)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.23/0.70 % (18325)First to succeed.
% 2.23/0.72 % (18309)Instruction limit reached!
% 2.23/0.72 % (18309)------------------------------
% 2.23/0.72 % (18309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.72 % (18325)Refutation found. Thanks to Tanya!
% 2.23/0.72 % SZS status Theorem for theBenchmark
% 2.23/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.72 % (18325)------------------------------
% 2.23/0.72 % (18325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.72 % (18325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.72 % (18325)Termination reason: Refutation
% 2.23/0.72
% 2.23/0.72 % (18325)Memory used [KB]: 2302
% 2.23/0.72 % (18325)Time elapsed: 0.310 s
% 2.23/0.72 % (18325)Instructions burned: 80 (million)
% 2.23/0.72 % (18325)------------------------------
% 2.23/0.72 % (18325)------------------------------
% 2.23/0.72 % (18291)Success in time 0.367 s
%------------------------------------------------------------------------------