TSTP Solution File: NUM606+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM606+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 08:13:25 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 140 ( 2 equ)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 53 ( 17 ~; 8 |; 22 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 84 ( 84 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 14 ( 11 !; 2 ?; 4 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_35,type,
sQ71_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f1077,plain,
$false,
inference(subsumption_resolution,[],[f1076,f724]) ).
tff(f724,plain,
aElementOf0(sK53,xQ),
inference(cnf_transformation,[],[f402]) ).
tff(f402,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
& ~ aElementOf0(sK53,szNzAzT0)
& aElementOf0(sK53,xQ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f155,f401]) ).
tff(f401,plain,
( ? [X0] :
( ~ aElementOf0(X0,szNzAzT0)
& aElementOf0(X0,xQ) )
=> ( ~ aElementOf0(sK53,szNzAzT0)
& aElementOf0(sK53,xQ) ) ),
introduced(choice_axiom,[]) ).
tff(f155,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
& ? [X0] :
( ~ aElementOf0(X0,szNzAzT0)
& aElementOf0(X0,xQ) ) ),
inference(ennf_transformation,[],[f102]) ).
tff(f102,negated_conjecture,
~ ( aSubsetOf0(xQ,szNzAzT0)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ),
inference(negated_conjecture,[],[f101]) ).
tff(f101,conjecture,
( aSubsetOf0(xQ,szNzAzT0)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ),
file('/export/starexec/sandbox/tmp/tmp.tAgvL3RsdZ/Vampire---4.8_20676',m__) ).
tff(f1076,plain,
~ aElementOf0(sK53,xQ),
inference(resolution,[],[f1074,f717]) ).
tff(f717,plain,
! [X0: $i] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f152,plain,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& ( xK = sbrdtbr0(xQ) )
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f99]) ).
tff(f99,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& ( xK = sbrdtbr0(xQ) )
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSet0(xQ) ),
file('/export/starexec/sandbox/tmp/tmp.tAgvL3RsdZ/Vampire---4.8_20676',m__5078) ).
tff(f1074,plain,
~ aElementOf0(sK53,xO),
inference(resolution,[],[f714,f1070]) ).
tff(f1070,plain,
~ aElementOf0(sK53,xS),
inference(resolution,[],[f471,f725]) ).
tff(f725,plain,
~ aElementOf0(sK53,szNzAzT0),
inference(cnf_transformation,[],[f402]) ).
tff(f471,plain,
! [X0: $i] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f123]) ).
tff(f123,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
tff(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.tAgvL3RsdZ/Vampire---4.8_20676',m__3435) ).
tff(f714,plain,
! [X0: $i] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f151]) ).
tff(f151,plain,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f98]) ).
tff(f98,axiom,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox/tmp/tmp.tAgvL3RsdZ/Vampire---4.8_20676',m__4998) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM606+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 15:22:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.tAgvL3RsdZ/Vampire---4.8_20676
% 0.59/0.74 % (20792)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)
% 0.59/0.75 % (20785)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)
% 0.59/0.75 % (20787)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (20789)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)
% 0.59/0.75 % (20786)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)
% 0.59/0.75 % (20788)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)
% 0.59/0.75 % (20790)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)
% 0.59/0.75 % (20791)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)
% 0.60/0.76 % (20785)First to succeed.
% 0.60/0.76 % (20785)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20784"
% 0.60/0.76 % (20785)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (20785)------------------------------
% 0.60/0.76 % (20785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (20785)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (20785)Memory used [KB]: 1608
% 0.60/0.76 % (20785)Time elapsed: 0.014 s
% 0.60/0.76 % (20785)Instructions burned: 27 (million)
% 0.60/0.76 % (20784)Success in time 0.4 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------