TSTP Solution File: NUM568+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM568+3 : TPTP v8.2.0. 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 : n006.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 : Tue May 21 01:43:20 EDT 2024
% Result : Theorem 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 59 ( 20 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 22 ~; 22 |; 8 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 20 ( 14 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f536,plain,
$false,
inference(subsumption_resolution,[],[f535,f221]) ).
fof(f221,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f535,plain,
~ aElementOf0(xK,szNzAzT0),
inference(subsumption_resolution,[],[f534,f378]) ).
fof(f378,plain,
~ sQ25_eqProxy(sz00,xK),
inference(equality_proxy_replacement,[],[f272,f361]) ).
fof(f361,plain,
! [X0,X1] :
( sQ25_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ25_eqProxy])]) ).
fof(f272,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(f534,plain,
( sQ25_eqProxy(sz00,xK)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(subsumption_resolution,[],[f531,f453]) ).
fof(f453,plain,
aElementOf0(sK23(xK),szNzAzT0),
inference(subsumption_resolution,[],[f449,f221]) ).
fof(f449,plain,
( aElementOf0(sK23(xK),szNzAzT0)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(resolution,[],[f378,f397]) ).
fof(f397,plain,
! [X0] :
( sQ25_eqProxy(sz00,X0)
| aElementOf0(sK23(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_proxy_replacement,[],[f321,f361]) ).
fof(f321,plain,
! [X0] :
( aElementOf0(sK23(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ( szszuzczcdt0(sK23(X0)) = X0
& aElementOf0(sK23(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f136,f210]) ).
fof(f210,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK23(X0)) = X0
& aElementOf0(sK23(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f531,plain,
( ~ aElementOf0(sK23(xK),szNzAzT0)
| sQ25_eqProxy(sz00,xK)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(resolution,[],[f380,f396]) ).
fof(f396,plain,
! [X0] :
( sQ25_eqProxy(szszuzczcdt0(sK23(X0)),X0)
| sQ25_eqProxy(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_proxy_replacement,[],[f322,f361,f361]) ).
fof(f322,plain,
! [X0] :
( szszuzczcdt0(sK23(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f380,plain,
! [X0] :
( ~ sQ25_eqProxy(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_proxy_replacement,[],[f274,f361]) ).
fof(f274,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,negated_conjecture,
~ ? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f80]) ).
fof(f80,conjecture,
? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM568+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 06:36:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74 % (12507)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.54/0.74 % (12500)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 theBenchmark for (2996ds/34Mi)
% 0.54/0.74 % (12502)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.74 % (12501)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 theBenchmark for (2996ds/51Mi)
% 0.54/0.74 % (12504)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 theBenchmark for (2996ds/34Mi)
% 0.54/0.74 % (12503)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.54/0.74 % (12505)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.54/0.74 % (12506)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 theBenchmark for (2996ds/83Mi)
% 0.54/0.74 % (12507)First to succeed.
% 0.54/0.74 % (12507)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12499"
% 0.54/0.75 % (12507)Refutation found. Thanks to Tanya!
% 0.54/0.75 % SZS status Theorem for theBenchmark
% 0.54/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.75 % (12507)------------------------------
% 0.54/0.75 % (12507)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (12507)Termination reason: Refutation
% 0.54/0.75
% 0.54/0.75 % (12507)Memory used [KB]: 1334
% 0.54/0.75 % (12507)Time elapsed: 0.005 s
% 0.54/0.75 % (12507)Instructions burned: 12 (million)
% 0.54/0.75 % (12499)Success in time 0.379 s
% 0.54/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------