TSTP Solution File: NUM609+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM609+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n024.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 08:13:27 EDT 2024
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 175 ( 12 equ)
% Maximal formula atoms : 12 ( 11 avg)
% Number of connectives : 78 ( 23 ~; 14 |; 33 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 105 ( 105 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 4 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 16 ( 13 !; 2 ?; 2 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_35,type,
sQ72_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f1127,plain,
$false,
inference(subsumption_resolution,[],[f1126,f761]) ).
tff(f761,plain,
~ aElementOf0(sK54,xQ),
inference(cnf_transformation,[],[f418]) ).
tff(f418,plain,
( ~ aSubsetOf0(xP,xQ)
& ~ aElementOf0(sK54,xQ)
& aElementOf0(sK54,xP) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f167,f417]) ).
tff(f417,plain,
( ? [X0] :
( ~ aElementOf0(X0,xQ)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK54,xQ)
& aElementOf0(sK54,xP) ) ),
introduced(choice_axiom,[]) ).
tff(f167,plain,
( ~ aSubsetOf0(xP,xQ)
& ? [X0] :
( ~ aElementOf0(X0,xQ)
& aElementOf0(X0,xP) ) ),
inference(ennf_transformation,[],[f108]) ).
tff(f108,negated_conjecture,
~ ( aSubsetOf0(xP,xQ)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) ) ),
inference(negated_conjecture,[],[f107]) ).
tff(f107,conjecture,
( aSubsetOf0(xP,xQ)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.euDNMX8wpa/Vampire---4.8_8548',m__) ).
tff(f1126,plain,
aElementOf0(sK54,xQ),
inference(resolution,[],[f753,f760]) ).
tff(f760,plain,
aElementOf0(sK54,xP),
inference(cnf_transformation,[],[f418]) ).
tff(f753,plain,
! [X0: $i] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f414]) ).
tff(f414,plain,
( ( xP = sdtmndt0(xQ,szmzizndt0(xQ)) )
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( szmzizndt0(xQ) = X0 )
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( ( szmzizndt0(xQ) != X0 )
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(flattening,[],[f413]) ).
tff(f413,plain,
( ( xP = sdtmndt0(xQ,szmzizndt0(xQ)) )
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( szmzizndt0(xQ) = X0 )
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( ( szmzizndt0(xQ) != X0 )
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(nnf_transformation,[],[f166]) ).
tff(f166,plain,
( ( xP = sdtmndt0(xQ,szmzizndt0(xQ)) )
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( szmzizndt0(xQ) != X0 )
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(ennf_transformation,[],[f123]) ).
tff(f123,plain,
( ( xP = sdtmndt0(xQ,szmzizndt0(xQ)) )
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( szmzizndt0(xQ) != X0 )
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X1) )
& aSet0(xP) ),
inference(rectify,[],[f104]) ).
tff(f104,axiom,
( ( xP = sdtmndt0(xQ,szmzizndt0(xQ)) )
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( szmzizndt0(xQ) != X0 )
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& aSet0(xP) ),
file('/export/starexec/sandbox2/tmp/tmp.euDNMX8wpa/Vampire---4.8_8548',m__5164) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : NUM609+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % 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
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 15:25:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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.euDNMX8wpa/Vampire---4.8_8548
% 0.56/0.75 % (8656)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)
% 0.56/0.75 % (8661)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)
% 0.56/0.75 % (8659)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)
% 0.56/0.75 % (8660)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)
% 0.56/0.75 % (8657)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)
% 0.56/0.75 % (8658)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (8663)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)
% 0.56/0.75 % (8662)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)
% 0.56/0.76 % (8656)First to succeed.
% 0.56/0.76 % (8656)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8655"
% 0.59/0.76 % (8656)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Theorem for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (8656)------------------------------
% 0.59/0.76 % (8656)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (8656)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (8656)Memory used [KB]: 1630
% 0.59/0.76 % (8656)Time elapsed: 0.009 s
% 0.59/0.76 % (8656)Instructions burned: 28 (million)
% 0.59/0.76 % (8655)Success in time 0.39 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------