TSTP Solution File: NUM565+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM565+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 : n004.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 03:32:06 EDT 2024
% Result : Theorem 0.62s 0.82s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 107 ( 37 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 118 ( 33 ~; 14 |; 58 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 23 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f439,plain,
$false,
inference(trivial_inequality_removal,[],[f435]) ).
fof(f435,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0),
inference(backward_demodulation,[],[f275,f430]) ).
fof(f430,plain,
slcrc0 = sK14,
inference(unit_resulting_resolution,[],[f268,f336,f338]) ).
fof(f338,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f291,f262]) ).
fof(f262,plain,
sz00 = xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 = xK,
file('/export/starexec/sandbox2/tmp/tmp.iXTJmrAfz9/Vampire---4.8_13598',m__3462) ).
fof(f291,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.iXTJmrAfz9/Vampire---4.8_13598',mCardEmpty) ).
fof(f336,plain,
xK = sbrdtbr0(sK14),
inference(definition_unfolding,[],[f271,f262]) ).
fof(f271,plain,
sz00 = sbrdtbr0(sK14),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK14)
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0)
& aElementOf0(sK14,slbdtsldtrb0(xS,sz00))
& sz00 = sbrdtbr0(sK14)
& aSubsetOf0(sK14,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sK14) )
& aSet0(sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f174,f175]) ).
fof(f175,plain,
( ? [X0] :
( sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0)
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& sz00 = sbrdtbr0(X0)
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
=> ( sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK14)
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0)
& aElementOf0(sK14,slbdtsldtrb0(xS,sz00))
& sz00 = sbrdtbr0(sK14)
& aSubsetOf0(sK14,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sK14) )
& aSet0(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
? [X0] :
( sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0)
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& sz00 = sbrdtbr0(X0)
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
? [X0] :
( sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& aSet0(slcrc0)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& sz00 = sbrdtbr0(X0)
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& aSet0(slcrc0)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& sz00 = sbrdtbr0(X0)
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
~ ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& sz00 = sbrdtbr0(X0)
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) )
=> ( ( ~ ? [X2] : aElementOf0(X2,slcrc0)
& aSet0(slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(rectify,[],[f81]) ).
fof(f81,negated_conjecture,
~ ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& sz00 = sbrdtbr0(X0)
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) )
=> ( ( ~ ? [X1] : aElementOf0(X1,slcrc0)
& aSet0(slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(negated_conjecture,[],[f80]) ).
fof(f80,conjecture,
! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& sz00 = sbrdtbr0(X0)
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) )
=> ( ( ~ ? [X1] : aElementOf0(X1,slcrc0)
& aSet0(slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iXTJmrAfz9/Vampire---4.8_13598',m__) ).
fof(f268,plain,
aSet0(sK14),
inference(cnf_transformation,[],[f176]) ).
fof(f275,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK14),
inference(cnf_transformation,[],[f176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM565+3 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 16:53:03 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33 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.iXTJmrAfz9/Vampire---4.8_13598
% 0.62/0.81 % (13707)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)
% 0.62/0.81 % (13706)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)
% 0.62/0.81 % (13710)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)
% 0.62/0.81 % (13711)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)
% 0.62/0.81 % (13708)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81 % (13709)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)
% 0.62/0.81 % (13713)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)
% 0.62/0.81 % (13712)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)
% 0.62/0.82 % (13709)First to succeed.
% 0.62/0.82 % (13708)Also succeeded, but the first one will report.
% 0.62/0.82 % (13709)Refutation found. Thanks to Tanya!
% 0.62/0.82 % SZS status Theorem for Vampire---4
% 0.62/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.82 % (13709)------------------------------
% 0.62/0.82 % (13709)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (13709)Termination reason: Refutation
% 0.62/0.82
% 0.62/0.82 % (13709)Memory used [KB]: 1316
% 0.62/0.82 % (13709)Time elapsed: 0.010 s
% 0.62/0.82 % (13709)Instructions burned: 15 (million)
% 0.62/0.82 % (13709)------------------------------
% 0.62/0.82 % (13709)------------------------------
% 0.62/0.82 % (13705)Success in time 0.474 s
% 0.62/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------