TSTP Solution File: SET619+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET619+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n012.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 03:48:20 EDT 2024
% Result : Theorem 0.54s 0.77s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 30 unt; 0 def)
% Number of atoms : 32 ( 24 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 39 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f196,plain,
$false,
inference(subsumption_resolution,[],[f195,f61]) ).
fof(f61,plain,
~ sP4(union(sK2,sK3)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f195,plain,
sP4(union(sK2,sK3)),
inference(forward_demodulation,[],[f194,f47]) ).
fof(f47,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.QH8juCMsWy/Vampire---4.8_23610',commutativity_of_union) ).
fof(f194,plain,
sP4(union(sK3,sK2)),
inference(backward_demodulation,[],[f102,f178]) ).
fof(f178,plain,
! [X0,X1] : union(X0,X1) = union(X0,difference(X1,X0)),
inference(superposition,[],[f111,f84]) ).
fof(f84,plain,
! [X0,X1] : union(intersection(X1,X0),difference(X0,X1)) = X0,
inference(superposition,[],[f37,f48]) ).
fof(f48,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.QH8juCMsWy/Vampire---4.8_23610',commutativity_of_intersection) ).
fof(f37,plain,
! [X0,X1] : union(intersection(X0,X1),difference(X0,X1)) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : union(intersection(X0,X1),difference(X0,X1)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.QH8juCMsWy/Vampire---4.8_23610',union_intersection_difference) ).
fof(f111,plain,
! [X2,X0,X1] : union(X0,union(intersection(X0,X1),X2)) = union(X0,X2),
inference(superposition,[],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] : union(X0,intersection(X0,X1)) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : union(X0,intersection(X0,X1)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.QH8juCMsWy/Vampire---4.8_23610',union_intersection) ).
fof(f35,plain,
! [X2,X0,X1] : union(union(X0,X1),X2) = union(X0,union(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : union(union(X0,X1),X2) = union(X0,union(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.QH8juCMsWy/Vampire---4.8_23610',associativity_of_union) ).
fof(f102,plain,
sP4(union(sK3,difference(sK2,sK3))),
inference(forward_demodulation,[],[f101,f47]) ).
fof(f101,plain,
sP4(union(difference(sK2,sK3),sK3)),
inference(backward_demodulation,[],[f67,f95]) ).
fof(f95,plain,
! [X0,X1] : union(difference(X1,X0),intersection(X0,X1)) = X1,
inference(superposition,[],[f84,f47]) ).
fof(f67,plain,
sP4(union(difference(sK2,sK3),union(difference(sK3,sK2),intersection(sK2,sK3)))),
inference(forward_demodulation,[],[f62,f35]) ).
fof(f62,plain,
sP4(union(union(difference(sK2,sK3),difference(sK3,sK2)),intersection(sK2,sK3))),
inference(inequality_splitting,[],[f60,f61]) ).
fof(f60,plain,
union(sK2,sK3) != union(union(difference(sK2,sK3),difference(sK3,sK2)),intersection(sK2,sK3)),
inference(definition_unfolding,[],[f58,f34]) ).
fof(f34,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.QH8juCMsWy/Vampire---4.8_23610',symmetric_difference_defn) ).
fof(f58,plain,
union(sK2,sK3) != union(symmetric_difference(sK2,sK3),intersection(sK2,sK3)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
union(sK2,sK3) != union(symmetric_difference(sK2,sK3),intersection(sK2,sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f17,f32]) ).
fof(f32,plain,
( ? [X0,X1] : union(X0,X1) != union(symmetric_difference(X0,X1),intersection(X0,X1))
=> union(sK2,sK3) != union(symmetric_difference(sK2,sK3),intersection(sK2,sK3)) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1] : union(X0,X1) != union(symmetric_difference(X0,X1),intersection(X0,X1)),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] : union(X0,X1) = union(symmetric_difference(X0,X1),intersection(X0,X1)),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X1] : union(X0,X1) = union(symmetric_difference(X0,X1),intersection(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.QH8juCMsWy/Vampire---4.8_23610',prove_th95) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET619+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.15 % 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
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 17:10:41 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.QH8juCMsWy/Vampire---4.8_23610
% 0.54/0.76 % (23828)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)
% 0.54/0.76 % (23830)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)
% 0.54/0.76 % (23830)Refutation not found, incomplete strategy% (23830)------------------------------
% 0.54/0.76 % (23830)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76 % (23830)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (23830)Memory used [KB]: 952
% 0.54/0.76 % (23830)Time elapsed: 0.002 s
% 0.54/0.76 % (23830)Instructions burned: 2 (million)
% 0.54/0.76 % (23830)------------------------------
% 0.54/0.76 % (23830)------------------------------
% 0.54/0.76 % (23828)Refutation not found, incomplete strategy% (23828)------------------------------
% 0.54/0.76 % (23828)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76 % (23828)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (23828)Memory used [KB]: 954
% 0.54/0.76 % (23828)Time elapsed: 0.002 s
% 0.54/0.76 % (23828)Instructions burned: 2 (million)
% 0.54/0.76 % (23828)------------------------------
% 0.54/0.76 % (23828)------------------------------
% 0.54/0.76 % (23823)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)
% 0.54/0.76 % (23825)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76 % (23826)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)
% 0.54/0.76 % (23824)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)
% 0.54/0.76 % (23827)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)
% 0.54/0.76 % (23829)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)
% 0.54/0.76 % (23826)Refutation not found, incomplete strategy% (23826)------------------------------
% 0.54/0.76 % (23826)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76 % (23826)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (23826)Memory used [KB]: 955
% 0.54/0.76 % (23826)Time elapsed: 0.003 s
% 0.54/0.76 % (23826)Instructions burned: 2 (million)
% 0.54/0.76 % (23826)------------------------------
% 0.54/0.76 % (23826)------------------------------
% 0.54/0.76 % (23829)Refutation not found, incomplete strategy% (23829)------------------------------
% 0.54/0.76 % (23829)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76 % (23831)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)
% 0.54/0.76 % (23829)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (23829)Memory used [KB]: 1024
% 0.54/0.76 % (23829)Time elapsed: 0.004 s
% 0.54/0.76 % (23829)Instructions burned: 4 (million)
% 0.54/0.76 % (23829)------------------------------
% 0.54/0.76 % (23829)------------------------------
% 0.54/0.76 % (23832)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 (2996ds/50Mi)
% 0.54/0.76 % (23832)Refutation not found, incomplete strategy% (23832)------------------------------
% 0.54/0.76 % (23832)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76 % (23832)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (23832)Memory used [KB]: 962
% 0.54/0.76 % (23832)Time elapsed: 0.002 s
% 0.54/0.76 % (23832)Instructions burned: 3 (million)
% 0.54/0.76 % (23832)------------------------------
% 0.54/0.76 % (23832)------------------------------
% 0.54/0.77 % (23833)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 (2996ds/208Mi)
% 0.54/0.77 % (23823)Refutation not found, incomplete strategy% (23823)------------------------------
% 0.54/0.77 % (23823)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.77 % (23823)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77
% 0.54/0.77 % (23823)Memory used [KB]: 1060
% 0.54/0.77 % (23823)Time elapsed: 0.007 s
% 0.54/0.77 % (23823)Instructions burned: 11 (million)
% 0.54/0.77 % (23831)First to succeed.
% 0.54/0.77 % (23823)------------------------------
% 0.54/0.77 % (23823)------------------------------
% 0.54/0.77 % (23835)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.54/0.77 % (23824)Also succeeded, but the first one will report.
% 0.54/0.77 % (23831)Refutation found. Thanks to Tanya!
% 0.54/0.77 % SZS status Theorem for Vampire---4
% 0.54/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.77 % (23831)------------------------------
% 0.54/0.77 % (23831)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.77 % (23831)Termination reason: Refutation
% 0.54/0.77
% 0.54/0.77 % (23831)Memory used [KB]: 1074
% 0.54/0.77 % (23831)Time elapsed: 0.005 s
% 0.54/0.77 % (23831)Instructions burned: 11 (million)
% 0.54/0.77 % (23831)------------------------------
% 0.54/0.77 % (23831)------------------------------
% 0.54/0.77 % (23813)Success in time 0.39 s
% 0.54/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------