TSTP Solution File: SEU350+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU350+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 May 1 03:52:11 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 9 unt; 0 def)
% Number of atoms : 179 ( 10 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 200 ( 75 ~; 84 |; 21 &)
% ( 7 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 45 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f270,plain,
$false,
inference(avatar_sat_refutation,[],[f157,f158,f256,f269]) ).
fof(f269,plain,
( ~ spl17_1
| spl17_2 ),
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f268,plain,
( $false
| ~ spl17_1
| spl17_2 ),
inference(subsumption_resolution,[],[f267,f151]) ).
fof(f151,plain,
( relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl17_1
<=> relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f267,plain,
( ~ relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2)
| spl17_2 ),
inference(forward_demodulation,[],[f266,f199]) ).
fof(f199,plain,
sK2 = cast_to_el_of_LattPOSet(sK1,sK2),
inference(unit_resulting_resolution,[],[f107,f106,f108,f198,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| cast_to_el_of_LattPOSet(X0,X1) = X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.g6gfJzKtv2/Vampire---4.8_14205',d3_lattice3) ).
fof(f198,plain,
element(sK2,the_carrier(sK1)),
inference(subsumption_resolution,[],[f197,f106]) ).
fof(f197,plain,
( element(sK2,the_carrier(sK1))
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f196,f105]) ).
fof(f105,plain,
element(sK2,the_carrier(poset_of_lattice(sK1))),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
? [X0,X1] :
( ? [X2] :
( ( relstr_set_smaller(poset_of_lattice(X1),X0,X2)
<~> latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
? [X0,X1] :
( ? [X2] :
( ( relstr_set_smaller(poset_of_lattice(X1),X0,X2)
<~> latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,negated_conjecture,
~ ! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_set_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
inference(negated_conjecture,[],[f59]) ).
fof(f59,conjecture,
! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_set_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.g6gfJzKtv2/Vampire---4.8_14205',t31_lattice3) ).
fof(f196,plain,
( element(sK2,the_carrier(sK1))
| ~ element(sK2,the_carrier(poset_of_lattice(sK1)))
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f195,f108]) ).
fof(f195,plain,
( element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| ~ element(sK2,the_carrier(poset_of_lattice(sK1)))
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f194,f107]) ).
fof(f194,plain,
( element(sK2,the_carrier(sK1))
| ~ lattice(sK1)
| ~ latt_str(sK1)
| ~ element(sK2,the_carrier(poset_of_lattice(sK1)))
| empty_carrier(sK1) ),
inference(superposition,[],[f110,f163]) ).
fof(f163,plain,
sK2 = cast_to_el_of_lattice(sK1,sK2),
inference(unit_resulting_resolution,[],[f107,f106,f108,f105,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| cast_to_el_of_lattice(X0,X1) = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(poset_of_lattice(X0)))
=> cast_to_el_of_lattice(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.g6gfJzKtv2/Vampire---4.8_14205',d4_lattice3) ).
fof(f110,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( element(X1,the_carrier(poset_of_lattice(X0)))
& latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.g6gfJzKtv2/Vampire---4.8_14205',dt_k5_lattice3) ).
fof(f108,plain,
latt_str(sK1),
inference(cnf_transformation,[],[f72]) ).
fof(f106,plain,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f72]) ).
fof(f107,plain,
lattice(sK1),
inference(cnf_transformation,[],[f72]) ).
fof(f266,plain,
( ~ relstr_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| spl17_2 ),
inference(unit_resulting_resolution,[],[f107,f106,f108,f198,f265,f113]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| latt_element_smaller(X1,X2,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( ( latt_element_smaller(X1,X2,X0)
<=> relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
| ~ element(X2,the_carrier(X1)) )
| ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ! [X2] :
( ( latt_element_smaller(X1,X2,X0)
<=> relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
| ~ element(X2,the_carrier(X1)) )
| ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( latt_element_smaller(X1,X2,X0)
<=> relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.g6gfJzKtv2/Vampire---4.8_14205',t30_lattice3) ).
fof(f265,plain,
( ~ latt_element_smaller(sK1,sK2,sK0)
| spl17_2 ),
inference(forward_demodulation,[],[f156,f163]) ).
fof(f156,plain,
( ~ latt_element_smaller(sK1,cast_to_el_of_lattice(sK1,sK2),sK0)
| spl17_2 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl17_2
<=> latt_element_smaller(sK1,cast_to_el_of_lattice(sK1,sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f256,plain,
( spl17_1
| ~ spl17_2 ),
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| spl17_1
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f254,f152]) ).
fof(f152,plain,
( ~ relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2)
| spl17_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f254,plain,
( relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ spl17_2 ),
inference(forward_demodulation,[],[f253,f199]) ).
fof(f253,plain,
( relstr_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| ~ spl17_2 ),
inference(forward_demodulation,[],[f247,f163]) ).
fof(f247,plain,
( relstr_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,cast_to_el_of_lattice(sK1,sK2)))
| ~ spl17_2 ),
inference(unit_resulting_resolution,[],[f108,f106,f107,f155,f164,f114]) ).
fof(f114,plain,
! [X2,X0,X1] :
( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ latt_element_smaller(X1,X2,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f164,plain,
element(cast_to_el_of_lattice(sK1,sK2),the_carrier(sK1)),
inference(unit_resulting_resolution,[],[f106,f107,f108,f105,f110]) ).
fof(f155,plain,
( latt_element_smaller(sK1,cast_to_el_of_lattice(sK1,sK2),sK0)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f158,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f103,f154,f150]) ).
fof(f103,plain,
( latt_element_smaller(sK1,cast_to_el_of_lattice(sK1,sK2),sK0)
| relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f157,plain,
( ~ spl17_1
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f104,f154,f150]) ).
fof(f104,plain,
( ~ latt_element_smaller(sK1,cast_to_el_of_lattice(sK1,sK2),sK0)
| ~ relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2) ),
inference(cnf_transformation,[],[f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU350+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 16:10:21 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.g6gfJzKtv2/Vampire---4.8_14205
% 0.58/0.74 % (14399)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.74 % (14398)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.74 % (14392)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.74 % (14393)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.74 % (14394)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74 % (14395)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.74 % (14396)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.74 % (14399)Refutation not found, incomplete strategy% (14399)------------------------------
% 0.58/0.74 % (14399)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74 % (14399)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (14399)Memory used [KB]: 1041
% 0.58/0.74 % (14399)Time elapsed: 0.002 s
% 0.58/0.74 % (14399)Instructions burned: 3 (million)
% 0.58/0.74 % (14399)------------------------------
% 0.58/0.74 % (14399)------------------------------
% 0.58/0.74 % (14397)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75 % (14398)First to succeed.
% 0.58/0.75 % (14397)Refutation not found, incomplete strategy% (14397)------------------------------
% 0.58/0.75 % (14397)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (14397)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (14397)Memory used [KB]: 1043
% 0.58/0.75 % (14397)Time elapsed: 0.003 s
% 0.58/0.75 % (14397)Instructions burned: 3 (million)
% 0.58/0.75 % (14397)------------------------------
% 0.58/0.75 % (14397)------------------------------
% 0.58/0.75 % (14395)Refutation not found, incomplete strategy% (14395)------------------------------
% 0.58/0.75 % (14395)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (14395)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (14395)Memory used [KB]: 1054
% 0.58/0.75 % (14395)Time elapsed: 0.004 s
% 0.58/0.75 % (14395)Instructions burned: 3 (million)
% 0.58/0.75 % (14395)------------------------------
% 0.58/0.75 % (14395)------------------------------
% 0.58/0.75 % (14400)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.75 % (14398)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (14398)------------------------------
% 0.58/0.75 % (14398)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (14398)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (14398)Memory used [KB]: 1164
% 0.58/0.75 % (14398)Time elapsed: 0.005 s
% 0.58/0.75 % (14398)Instructions burned: 9 (million)
% 0.58/0.75 % (14398)------------------------------
% 0.58/0.75 % (14398)------------------------------
% 0.58/0.75 % (14377)Success in time 0.383 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------