TSTP Solution File: SET886+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET886+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : Sun May 5 09:08:57 EDT 2024
% Result : Theorem 0.59s 0.80s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 35 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 4 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43,plain,
$false,
inference(trivial_inequality_removal,[],[f42]) ).
fof(f42,plain,
unordered_pair(sK4,sK4) != unordered_pair(sK4,sK4),
inference(forward_demodulation,[],[f40,f29]) ).
fof(f29,plain,
sK2 = sK4,
inference(resolution,[],[f26,f28]) ).
fof(f28,plain,
subset(unordered_pair(sK2,sK3),unordered_pair(sK4,sK4)),
inference(definition_unfolding,[],[f23,f25]) ).
fof(f25,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/tmp/tmp.LAELXUBhLI/Vampire---4.8_26210',t69_enumset1) ).
fof(f23,plain,
subset(unordered_pair(sK2,sK3),singleton(sK4)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( unordered_pair(sK2,sK3) != singleton(sK4)
& subset(unordered_pair(sK2,sK3),singleton(sK4)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f11,f16]) ).
fof(f16,plain,
( ? [X0,X1,X2] :
( unordered_pair(X0,X1) != singleton(X2)
& subset(unordered_pair(X0,X1),singleton(X2)) )
=> ( unordered_pair(sK2,sK3) != singleton(sK4)
& subset(unordered_pair(sK2,sK3),singleton(sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1,X2] :
( unordered_pair(X0,X1) != singleton(X2)
& subset(unordered_pair(X0,X1),singleton(X2)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),singleton(X2))
=> unordered_pair(X0,X1) = singleton(X2) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),singleton(X2))
=> unordered_pair(X0,X1) = singleton(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.LAELXUBhLI/Vampire---4.8_26210',t27_zfmisc_1) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ subset(unordered_pair(X0,X1),unordered_pair(X2,X2))
| X0 = X2 ),
inference(definition_unfolding,[],[f22,f25]) ).
fof(f22,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ subset(unordered_pair(X0,X1),singleton(X2)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ subset(unordered_pair(X0,X1),singleton(X2)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),singleton(X2))
=> X0 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.LAELXUBhLI/Vampire---4.8_26210',t26_zfmisc_1) ).
fof(f40,plain,
unordered_pair(sK4,sK4) != unordered_pair(sK2,sK4),
inference(superposition,[],[f27,f35]) ).
fof(f35,plain,
sK3 = sK4,
inference(resolution,[],[f31,f28]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ subset(unordered_pair(X1,X0),unordered_pair(X2,X2))
| X0 = X2 ),
inference(superposition,[],[f26,f18]) ).
fof(f18,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.LAELXUBhLI/Vampire---4.8_26210',commutativity_k2_tarski) ).
fof(f27,plain,
unordered_pair(sK2,sK3) != unordered_pair(sK4,sK4),
inference(definition_unfolding,[],[f24,f25]) ).
fof(f24,plain,
unordered_pair(sK2,sK3) != singleton(sK4),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET886+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % 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
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 17:03:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34 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.LAELXUBhLI/Vampire---4.8_26210
% 0.59/0.80 % (26322)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.80 % (26324)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)
% 0.59/0.80 % (26325)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)
% 0.59/0.80 % (26323)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)
% 0.59/0.80 % (26326)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)
% 0.59/0.80 % (26327)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)
% 0.59/0.80 % (26321)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)
% 0.59/0.80 % (26320)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)
% 0.59/0.80 % (26327)Refutation not found, incomplete strategy% (26327)------------------------------
% 0.59/0.80 % (26327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (26327)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (26327)Memory used [KB]: 952
% 0.59/0.80 % (26324)Refutation not found, incomplete strategy% (26324)------------------------------
% 0.59/0.80 % (26324)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (26327)Time elapsed: 0.002 s
% 0.59/0.80 % (26327)Instructions burned: 2 (million)
% 0.59/0.80 % (26324)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (26324)Memory used [KB]: 966
% 0.59/0.80 % (26324)Time elapsed: 0.003 s
% 0.59/0.80 % (26324)Instructions burned: 2 (million)
% 0.59/0.80 % (26325)Refutation not found, incomplete strategy% (26325)------------------------------
% 0.59/0.80 % (26325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (26325)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (26325)Memory used [KB]: 953
% 0.59/0.80 % (26327)------------------------------
% 0.59/0.80 % (26327)------------------------------
% 0.59/0.80 % (26325)Time elapsed: 0.003 s
% 0.59/0.80 % (26325)Instructions burned: 2 (million)
% 0.59/0.80 % (26324)------------------------------
% 0.59/0.80 % (26324)------------------------------
% 0.59/0.80 % (26323)Refutation not found, incomplete strategy% (26323)------------------------------
% 0.59/0.80 % (26323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (26323)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (26323)Memory used [KB]: 965
% 0.59/0.80 % (26323)Time elapsed: 0.003 s
% 0.59/0.80 % (26323)Instructions burned: 3 (million)
% 0.59/0.80 % (26325)------------------------------
% 0.59/0.80 % (26325)------------------------------
% 0.59/0.80 % (26321)First to succeed.
% 0.59/0.80 % (26322)Also succeeded, but the first one will report.
% 0.59/0.80 % (26320)Refutation not found, incomplete strategy% (26320)------------------------------
% 0.59/0.80 % (26320)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (26320)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (26323)------------------------------
% 0.59/0.80 % (26323)------------------------------
% 0.59/0.80 % (26320)Memory used [KB]: 966
% 0.59/0.80 % (26320)Time elapsed: 0.003 s
% 0.59/0.80 % (26320)Instructions burned: 2 (million)
% 0.59/0.80 % (26326)Refutation not found, incomplete strategy% (26326)------------------------------
% 0.59/0.80 % (26326)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (26326)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (26326)Memory used [KB]: 955
% 0.59/0.80 % (26326)Time elapsed: 0.003 s
% 0.59/0.80 % (26326)Instructions burned: 4 (million)
% 0.59/0.80 % (26321)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26319"
% 0.59/0.80 % (26326)------------------------------
% 0.59/0.80 % (26326)------------------------------
% 0.59/0.80 % (26320)------------------------------
% 0.59/0.80 % (26320)------------------------------
% 0.59/0.80 % (26321)Refutation found. Thanks to Tanya!
% 0.59/0.80 % SZS status Theorem for Vampire---4
% 0.59/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80 % (26321)------------------------------
% 0.59/0.80 % (26321)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (26321)Termination reason: Refutation
% 0.59/0.80
% 0.59/0.80 % (26321)Memory used [KB]: 978
% 0.59/0.80 % (26321)Time elapsed: 0.003 s
% 0.59/0.80 % (26321)Instructions burned: 3 (million)
% 0.59/0.80 % (26319)Success in time 0.45 s
% 0.59/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------