TSTP Solution File: SET621+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET621+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 : n011.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 09:07:39 EDT 2024
% Result : Theorem 0.57s 0.78s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 15 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,plain,
$false,
inference(subsumption_resolution,[],[f26,f20]) ).
fof(f20,plain,
! [X2,X0,X1] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.KOzWQVzEr3/Vampire---4.8_27198',difference_distributes_over_union) ).
fof(f26,plain,
difference(union(difference(sK0,sK1),difference(sK1,sK0)),sK2) != union(difference(difference(sK0,sK1),sK2),difference(difference(sK1,sK0),sK2)),
inference(forward_demodulation,[],[f25,f21]) ).
fof(f21,plain,
! [X2,X0,X1] : difference(difference(X0,X1),X2) = difference(X0,union(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : difference(difference(X0,X1),X2) = difference(X0,union(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.KOzWQVzEr3/Vampire---4.8_27198',difference_difference_union) ).
fof(f25,plain,
difference(union(difference(sK0,sK1),difference(sK1,sK0)),sK2) != union(difference(difference(sK0,sK1),sK2),difference(sK1,union(sK0,sK2))),
inference(backward_demodulation,[],[f23,f21]) ).
fof(f23,plain,
union(difference(sK0,union(sK1,sK2)),difference(sK1,union(sK0,sK2))) != difference(union(difference(sK0,sK1),difference(sK1,sK0)),sK2),
inference(definition_unfolding,[],[f17,f19]) ).
fof(f19,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.KOzWQVzEr3/Vampire---4.8_27198',symmetric_difference_defn) ).
fof(f17,plain,
difference(symmetric_difference(sK0,sK1),sK2) != union(difference(sK0,union(sK1,sK2)),difference(sK1,union(sK0,sK2))),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
difference(symmetric_difference(sK0,sK1),sK2) != union(difference(sK0,union(sK1,sK2)),difference(sK1,union(sK0,sK2))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f14,f15]) ).
fof(f15,plain,
( ? [X0,X1,X2] : difference(symmetric_difference(X0,X1),X2) != union(difference(X0,union(X1,X2)),difference(X1,union(X0,X2)))
=> difference(symmetric_difference(sK0,sK1),sK2) != union(difference(sK0,union(sK1,sK2)),difference(sK1,union(sK0,sK2))) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1,X2] : difference(symmetric_difference(X0,X1),X2) != union(difference(X0,union(X1,X2)),difference(X1,union(X0,X2))),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X2] : difference(symmetric_difference(X0,X1),X2) = union(difference(X0,union(X1,X2)),difference(X1,union(X0,X2))),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1,X2] : difference(symmetric_difference(X0,X1),X2) = union(difference(X0,union(X1,X2)),difference(X1,union(X0,X2))),
file('/export/starexec/sandbox2/tmp/tmp.KOzWQVzEr3/Vampire---4.8_27198',prove_th97) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET621+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.16 % 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
% 0.14/0.37 % Computer : n011.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri May 3 16:21:23 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.38 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.KOzWQVzEr3/Vampire---4.8_27198
% 0.57/0.78 % (27307)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)
% 0.57/0.78 % (27310)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)
% 0.57/0.78 % (27311)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)
% 0.57/0.78 % (27309)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.78 % (27312)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)
% 0.57/0.78 % (27308)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)
% 0.57/0.78 % (27313)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)
% 0.57/0.78 % (27314)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)
% 0.57/0.78 % (27314)Refutation not found, incomplete strategy% (27314)------------------------------
% 0.57/0.78 % (27314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (27314)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (27314)Memory used [KB]: 953
% 0.57/0.78 % (27314)Time elapsed: 0.002 s
% 0.57/0.78 % (27314)Instructions burned: 2 (million)
% 0.57/0.78 % (27312)Also succeeded, but the first one will report.
% 0.57/0.78 % (27310)First to succeed.
% 0.57/0.78 % (27314)------------------------------
% 0.57/0.78 % (27314)------------------------------
% 0.57/0.78 % (27310)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27306"
% 0.57/0.78 % (27313)Refutation not found, incomplete strategy% (27313)------------------------------
% 0.57/0.78 % (27313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (27313)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (27313)Memory used [KB]: 960
% 0.57/0.78 % (27313)Time elapsed: 0.003 s
% 0.57/0.78 % (27313)Instructions burned: 3 (million)
% 0.57/0.78 % (27313)------------------------------
% 0.57/0.78 % (27313)------------------------------
% 0.57/0.78 % (27310)Refutation found. Thanks to Tanya!
% 0.57/0.78 % SZS status Theorem for Vampire---4
% 0.57/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.78 % (27310)------------------------------
% 0.57/0.78 % (27310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (27310)Termination reason: Refutation
% 0.57/0.78
% 0.57/0.78 % (27310)Memory used [KB]: 971
% 0.57/0.78 % (27310)Time elapsed: 0.003 s
% 0.57/0.78 % (27310)Instructions burned: 3 (million)
% 0.57/0.78 % (27306)Success in time 0.387 s
% 0.57/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------