TSTP Solution File: SEU328+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU328+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 : n007.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 : Sun May 5 09:22:21 EDT 2024
% Result : Theorem 0.62s 0.81s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 11 unt; 0 def)
% Number of atoms : 90 ( 46 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 93 ( 41 ~; 31 |; 11 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 57 ( 51 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f665,plain,
$false,
inference(subsumption_resolution,[],[f664,f121]) ).
fof(f121,plain,
element(sK1,powerset(powerset(sK0))),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( union_of_subsets(sK0,complements_of_subsets(sK0,sK1)) != subset_complement(sK0,meet_of_subsets(sK0,sK1))
& empty_set != sK1
& element(sK1,powerset(powerset(sK0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f77,f111]) ).
fof(f111,plain,
( ? [X0,X1] :
( union_of_subsets(X0,complements_of_subsets(X0,X1)) != subset_complement(X0,meet_of_subsets(X0,X1))
& empty_set != X1
& element(X1,powerset(powerset(X0))) )
=> ( union_of_subsets(sK0,complements_of_subsets(sK0,sK1)) != subset_complement(sK0,meet_of_subsets(sK0,sK1))
& empty_set != sK1
& element(sK1,powerset(powerset(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0,X1] :
( union_of_subsets(X0,complements_of_subsets(X0,X1)) != subset_complement(X0,meet_of_subsets(X0,X1))
& empty_set != X1
& element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X0,X1] :
( union_of_subsets(X0,complements_of_subsets(X0,X1)) != subset_complement(X0,meet_of_subsets(X0,X1))
& empty_set != X1
& element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( empty_set != X1
=> union_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_complement(X0,meet_of_subsets(X0,X1)) ) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( empty_set != X1
=> union_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_complement(X0,meet_of_subsets(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OMsEVVRlz9/Vampire---4.8_23680',t12_tops_2) ).
fof(f664,plain,
~ element(sK1,powerset(powerset(sK0))),
inference(subsumption_resolution,[],[f663,f122]) ).
fof(f122,plain,
empty_set != sK1,
inference(cnf_transformation,[],[f112]) ).
fof(f663,plain,
( empty_set = sK1
| ~ element(sK1,powerset(powerset(sK0))) ),
inference(subsumption_resolution,[],[f656,f594]) ).
fof(f594,plain,
subset_complement(sK0,meet_of_subsets(sK0,sK1)) = set_difference(sK0,meet_of_subsets(sK0,sK1)),
inference(resolution,[],[f345,f121]) ).
fof(f345,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| subset_complement(X1,meet_of_subsets(X1,X0)) = set_difference(X1,meet_of_subsets(X1,X0)) ),
inference(resolution,[],[f132,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| subset_complement(X0,X1) = set_difference(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( subset_complement(X0,X1) = set_difference(X0,X1)
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,X1) = set_difference(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.OMsEVVRlz9/Vampire---4.8_23680',d5_subset_1) ).
fof(f132,plain,
! [X0,X1] :
( element(meet_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( element(meet_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(meet_of_subsets(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.OMsEVVRlz9/Vampire---4.8_23680',dt_k6_setfam_1) ).
fof(f656,plain,
( subset_complement(sK0,meet_of_subsets(sK0,sK1)) != set_difference(sK0,meet_of_subsets(sK0,sK1))
| empty_set = sK1
| ~ element(sK1,powerset(powerset(sK0))) ),
inference(superposition,[],[f123,f376]) ).
fof(f376,plain,
! [X0,X1] :
( union_of_subsets(X0,complements_of_subsets(X0,X1)) = set_difference(X0,meet_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(subsumption_resolution,[],[f375,f132]) ).
fof(f375,plain,
! [X0,X1] :
( union_of_subsets(X0,complements_of_subsets(X0,X1)) = set_difference(X0,meet_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0)))
| ~ element(meet_of_subsets(X0,X1),powerset(X0)) ),
inference(subsumption_resolution,[],[f371,f199]) ).
fof(f199,plain,
! [X0] : element(X0,powerset(X0)),
inference(backward_demodulation,[],[f154,f155]) ).
fof(f155,plain,
! [X0] : cast_to_subset(X0) = X0,
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] : cast_to_subset(X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.OMsEVVRlz9/Vampire---4.8_23680',d4_subset_1) ).
fof(f154,plain,
! [X0] : element(cast_to_subset(X0),powerset(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] : element(cast_to_subset(X0),powerset(X0)),
file('/export/starexec/sandbox2/tmp/tmp.OMsEVVRlz9/Vampire---4.8_23680',dt_k2_subset_1) ).
fof(f371,plain,
! [X0,X1] :
( union_of_subsets(X0,complements_of_subsets(X0,X1)) = set_difference(X0,meet_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0)))
| ~ element(meet_of_subsets(X0,X1),powerset(X0))
| ~ element(X0,powerset(X0)) ),
inference(superposition,[],[f200,f156]) ).
fof(f156,plain,
! [X2,X0,X1] :
( subset_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X2,powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( subset_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X2,powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( subset_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X2,powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2] :
( ( element(X2,powerset(X0))
& element(X1,powerset(X0)) )
=> subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.OMsEVVRlz9/Vampire---4.8_23680',redefinition_k6_subset_1) ).
fof(f200,plain,
! [X0,X1] :
( union_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_difference(X0,X0,meet_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(backward_demodulation,[],[f128,f155]) ).
fof(f128,plain,
! [X0,X1] :
( union_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_difference(X0,cast_to_subset(X0),meet_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( union_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_difference(X0,cast_to_subset(X0),meet_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( union_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_difference(X0,cast_to_subset(X0),meet_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( empty_set != X1
=> union_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_difference(X0,cast_to_subset(X0),meet_of_subsets(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OMsEVVRlz9/Vampire---4.8_23680',t48_setfam_1) ).
fof(f123,plain,
union_of_subsets(sK0,complements_of_subsets(sK0,sK1)) != subset_complement(sK0,meet_of_subsets(sK0,sK1)),
inference(cnf_transformation,[],[f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU328+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % 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
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 11:15:35 EDT 2024
% 0.17/0.33 % CPUTime :
% 0.17/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.17/0.33 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.OMsEVVRlz9/Vampire---4.8_23680
% 0.62/0.80 % (23795)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80 % (23794)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80 % (23796)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 (2995ds/34Mi)
% 0.62/0.80 % (23792)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 (2995ds/34Mi)
% 0.62/0.80 % (23793)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 (2995ds/51Mi)
% 0.62/0.80 % (23799)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 (2995ds/56Mi)
% 0.62/0.80 % (23797)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.80 % (23798)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 (2995ds/83Mi)
% 0.62/0.80 % (23799)Refutation not found, incomplete strategy% (23799)------------------------------
% 0.62/0.80 % (23799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (23799)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (23799)Memory used [KB]: 1045
% 0.62/0.80 % (23799)Time elapsed: 0.003 s
% 0.62/0.80 % (23799)Instructions burned: 4 (million)
% 0.62/0.80 % (23799)------------------------------
% 0.62/0.80 % (23799)------------------------------
% 0.62/0.80 % (23797)Refutation not found, incomplete strategy% (23797)------------------------------
% 0.62/0.80 % (23797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (23797)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (23797)Memory used [KB]: 1101
% 0.62/0.80 % (23797)Time elapsed: 0.004 s
% 0.62/0.80 % (23797)Instructions burned: 6 (million)
% 0.62/0.80 % (23797)------------------------------
% 0.62/0.80 % (23797)------------------------------
% 0.62/0.80 % (23796)Refutation not found, incomplete strategy% (23796)------------------------------
% 0.62/0.80 % (23796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (23796)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (23796)Memory used [KB]: 1160
% 0.62/0.80 % (23796)Time elapsed: 0.005 s
% 0.62/0.80 % (23796)Instructions burned: 7 (million)
% 0.62/0.80 % (23796)------------------------------
% 0.62/0.80 % (23796)------------------------------
% 0.62/0.80 % (23792)Refutation not found, incomplete strategy% (23792)------------------------------
% 0.62/0.80 % (23792)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (23792)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (23792)Memory used [KB]: 1068
% 0.62/0.80 % (23792)Time elapsed: 0.007 s
% 0.62/0.80 % (23792)Instructions burned: 10 (million)
% 0.62/0.80 % (23792)------------------------------
% 0.62/0.80 % (23792)------------------------------
% 0.62/0.80 % (23800)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 (2995ds/55Mi)
% 0.62/0.80 % (23801)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.80 % (23802)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.80 % (23803)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.81 % (23794)First to succeed.
% 0.62/0.81 % (23794)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23789"
% 0.62/0.81 % (23795)Instruction limit reached!
% 0.62/0.81 % (23795)------------------------------
% 0.62/0.81 % (23795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (23795)Termination reason: Unknown
% 0.62/0.81 % (23795)Termination phase: Saturation
% 0.62/0.81
% 0.62/0.81 % (23795)Memory used [KB]: 1476
% 0.62/0.81 % (23795)Time elapsed: 0.018 s
% 0.62/0.81 % (23795)Instructions burned: 33 (million)
% 0.62/0.81 % (23795)------------------------------
% 0.62/0.81 % (23795)------------------------------
% 0.62/0.81 % (23794)Refutation found. Thanks to Tanya!
% 0.62/0.81 % SZS status Theorem for Vampire---4
% 0.62/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.81 % (23794)------------------------------
% 0.62/0.81 % (23794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (23794)Termination reason: Refutation
% 0.62/0.81
% 0.62/0.81 % (23794)Memory used [KB]: 1209
% 0.62/0.81 % (23794)Time elapsed: 0.017 s
% 0.62/0.81 % (23794)Instructions burned: 28 (million)
% 0.62/0.81 % (23789)Success in time 0.474 s
% 0.62/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------