TSTP Solution File: NUN087+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% 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 : n021.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 03:36:31 EDT 2024
% Result : Theorem 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 82 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 77 ( 23 ~; 14 |; 36 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 53 ( 29 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,plain,
$false,
inference(unit_resulting_resolution,[],[f64,f64,f72,f61]) ).
fof(f61,plain,
! [X2,X1] :
( ~ r1(X1)
| ~ r4(X2,X2,X1)
| ~ r1(X2) ),
inference(equality_resolution,[],[f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( X0 != X1
| ~ r1(X1)
| ~ r4(X2,X2,X0)
| ~ r1(X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( X0 != X1
| ~ r1(X1) )
| ! [X2] :
( ~ r4(X2,X2,X0)
| ~ r1(X2) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ? [X1] :
( X0 = X1
& r1(X1) )
& ? [X2] :
( r4(X2,X2,X0)
& r1(X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X22] :
( X22 = X38
& r1(X22) )
& ? [X21] :
( r4(X21,X21,X38)
& r1(X21) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X22] :
( X22 = X38
& r1(X22) )
& ? [X21] :
( r4(X21,X21,X38)
& r1(X21) ) ),
file('/export/starexec/sandbox2/tmp/tmp.BCbwESXJBa/Vampire---4.8_22608',zerotimeszeroeqzero) ).
fof(f72,plain,
! [X0] : r4(X0,sK3,sK3),
inference(backward_demodulation,[],[f70,f68]) ).
fof(f68,plain,
! [X0] : sK3 = sK6(X0),
inference(unit_resulting_resolution,[],[f48,f46]) ).
fof(f46,plain,
! [X1] :
( sK3 = X1
| ~ r1(X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1] :
( ( sK3 = X1
& r1(X1) )
| ( sK3 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f1,f25]) ).
fof(f25,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK3 = X1
& r1(X1) )
| ( sK3 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.BCbwESXJBa/Vampire---4.8_22608',axiom_1) ).
fof(f48,plain,
! [X0] : r1(sK6(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( sK4(X0) = sK5(X0)
& r1(sK5(X0))
& r4(X0,sK6(X0),sK4(X0))
& r1(sK6(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f17,f29,f28,f27]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( sK4(X0) = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,sK4(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X2] :
( sK4(X0) = X2
& r1(X2) )
=> ( sK4(X0) = sK5(X0)
& r1(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK4(X0))
& r1(X3) )
=> ( r4(X0,sK6(X0),sK4(X0))
& r1(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X35] :
( X33 = X35
& r1(X35) )
& ? [X34] :
( r4(X32,X34,X33)
& r1(X34) ) ),
file('/export/starexec/sandbox2/tmp/tmp.BCbwESXJBa/Vampire---4.8_22608',axiom_5a) ).
fof(f70,plain,
! [X0] : r4(X0,sK6(X0),sK3),
inference(backward_demodulation,[],[f60,f69]) ).
fof(f69,plain,
! [X0] : sK3 = sK5(X0),
inference(unit_resulting_resolution,[],[f50,f46]) ).
fof(f50,plain,
! [X0] : r1(sK5(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f60,plain,
! [X0] : r4(X0,sK6(X0),sK5(X0)),
inference(definition_unfolding,[],[f49,f51]) ).
fof(f51,plain,
! [X0] : sK4(X0) = sK5(X0),
inference(cnf_transformation,[],[f30]) ).
fof(f49,plain,
! [X0] : r4(X0,sK6(X0),sK4(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f64,plain,
r1(sK3),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X1] :
( r1(X1)
| sK3 != X1 ),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% 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 : n021.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 17:44:41 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.BCbwESXJBa/Vampire---4.8_22608
% 0.54/0.75 % (22988)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)
% 0.54/0.75 % (22981)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)
% 0.54/0.75 % (22988)Refutation not found, incomplete strategy% (22988)------------------------------
% 0.54/0.75 % (22988)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75 % (22988)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (22988)Memory used [KB]: 1042
% 0.54/0.75 % (22988)Time elapsed: 0.002 s
% 0.54/0.75 % (22988)Instructions burned: 3 (million)
% 0.54/0.75 % (22988)------------------------------
% 0.54/0.75 % (22988)------------------------------
% 0.54/0.75 % (22983)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75 % (22982)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)
% 0.54/0.75 % (22985)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)
% 0.54/0.75 % (22984)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)
% 0.54/0.75 % (22986)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)
% 0.54/0.75 % (22987)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)
% 0.54/0.75 % (22985)Refutation not found, incomplete strategy% (22985)------------------------------
% 0.54/0.75 % (22985)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75 % (22985)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (22985)Memory used [KB]: 1043
% 0.54/0.75 % (22985)Time elapsed: 0.003 s
% 0.54/0.75 % (22985)Instructions burned: 3 (million)
% 0.54/0.75 % (22985)------------------------------
% 0.54/0.75 % (22985)------------------------------
% 0.54/0.75 % (22984)First to succeed.
% 0.54/0.75 % (22986)Refutation not found, incomplete strategy% (22986)------------------------------
% 0.54/0.75 % (22986)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75 % (22986)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (22986)Memory used [KB]: 1053
% 0.54/0.75 % (22986)Time elapsed: 0.003 s
% 0.54/0.75 % (22986)Instructions burned: 3 (million)
% 0.54/0.75 % (22986)------------------------------
% 0.54/0.75 % (22986)------------------------------
% 0.54/0.75 % (22981)Refutation not found, incomplete strategy% (22981)------------------------------
% 0.54/0.75 % (22981)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75 % (22981)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (22981)Memory used [KB]: 1056
% 0.54/0.75 % (22981)Time elapsed: 0.004 s
% 0.54/0.75 % (22981)Instructions burned: 4 (million)
% 0.54/0.75 % (22981)------------------------------
% 0.54/0.75 % (22981)------------------------------
% 0.54/0.75 % (22983)Also succeeded, but the first one will report.
% 0.54/0.75 % (22989)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)
% 0.54/0.75 % (22987)Refutation not found, incomplete strategy% (22987)------------------------------
% 0.54/0.75 % (22987)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75 % (22987)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (22987)Memory used [KB]: 1040
% 0.54/0.75 % (22987)Time elapsed: 0.004 s
% 0.54/0.75 % (22987)Instructions burned: 5 (million)
% 0.54/0.75 % (22987)------------------------------
% 0.54/0.75 % (22987)------------------------------
% 0.54/0.75 % (22984)Refutation found. Thanks to Tanya!
% 0.54/0.75 % SZS status Theorem for Vampire---4
% 0.54/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75 % (22984)------------------------------
% 0.54/0.75 % (22984)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75 % (22984)Termination reason: Refutation
% 0.54/0.75
% 0.54/0.75 % (22984)Memory used [KB]: 1054
% 0.54/0.75 % (22984)Time elapsed: 0.004 s
% 0.54/0.75 % (22984)Instructions burned: 4 (million)
% 0.54/0.75 % (22984)------------------------------
% 0.54/0.75 % (22984)------------------------------
% 0.54/0.75 % (22877)Success in time 0.381 s
% 0.54/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------