TSTP Solution File: NUM633+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM633+1 : 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 : n023.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 03:32:37 EDT 2024
% Result : Theorem 0.62s 0.83s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 337 ( 23 equ)
% Maximal formula atoms : 10 ( 9 avg)
% Number of connectives : 159 ( 67 ~; 43 |; 37 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 211 ( 211 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 10 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 45 ( 35 !; 9 ?; 19 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_14,type,
sQ28_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f702,plain,
$false,
inference(avatar_sat_refutation,[],[f645,f701]) ).
tff(f701,plain,
~ spl29_5,
inference(avatar_contradiction_clause,[],[f700]) ).
tff(f700,plain,
( $false
| ~ spl29_5 ),
inference(subsumption_resolution,[],[f699,f356]) ).
tff(f356,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f94]) ).
tff(f94,axiom,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox2/tmp/tmp.izAuTTcXat/Vampire---4.8_25542',m__4854) ).
tff(f699,plain,
( ~ aElementOf0(szDzizrdt0(xd),xT)
| ~ spl29_5 ),
inference(subsumption_resolution,[],[f698,f635]) ).
tff(f635,plain,
( aSubsetOf0(xO,xS)
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f634]) ).
tff(f634,plain,
( spl29_5
<=> aSubsetOf0(xO,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).
tff(f698,plain,
( ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(szDzizrdt0(xd),xT)
| ~ spl29_5 ),
inference(subsumption_resolution,[],[f697,f361]) ).
tff(f361,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f96]) ).
tff(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox2/tmp/tmp.izAuTTcXat/Vampire---4.8_25542',m__4908) ).
tff(f697,plain,
( ~ isCountable0(xO)
| ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(szDzizrdt0(xd),xT)
| ~ spl29_5 ),
inference(resolution,[],[f695,f370]) ).
tff(f370,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK10(X0,X1),slbdtsldtrb0(X1,xK))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f244]) ).
tff(f244,plain,
( ! [X0] :
( ! [X1] :
( ( ( sdtlpdtrp0(xc,sK10(X0,X1)) != X0 )
& aElementOf0(sK10(X0,X1),slbdtsldtrb0(X1,xK)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) )
| ~ aElementOf0(X0,xT) )
& ! [X3] :
( ( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X3) )
& aElementOf0(X3,szDzozmdt0(xc))
& aSubsetOf0(X3,szNzAzT0)
& ( slcrc0 != X3 ) )
| ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f242,f243]) ).
tff(f243,plain,
! [X0,X1] :
( ? [X2] :
( ( sdtlpdtrp0(xc,X2) != X0 )
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
=> ( ( sdtlpdtrp0(xc,sK10(X0,X1)) != X0 )
& aElementOf0(sK10(X0,X1),slbdtsldtrb0(X1,xK)) ) ),
introduced(choice_axiom,[]) ).
tff(f242,plain,
( ! [X0] :
( ! [X1] :
( ? [X2] :
( ( sdtlpdtrp0(xc,X2) != X0 )
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) )
| ~ aElementOf0(X0,xT) )
& ! [X3] :
( ( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X3) )
& aElementOf0(X3,szDzozmdt0(xc))
& aSubsetOf0(X3,szNzAzT0)
& ( slcrc0 != X3 ) )
| ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) ) ),
inference(rectify,[],[f132]) ).
tff(f132,plain,
( ! [X1] :
( ! [X2] :
( ? [X3] :
( ( sdtlpdtrp0(xc,X3) != X1 )
& aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) )
| ~ aElementOf0(X1,xT) )
& ! [X0] :
( ( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) )
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,szNzAzT0)
& ( slcrc0 != X0 ) )
| ~ aElementOf0(X0,slbdtsldtrb0(xO,xK)) ) ),
inference(ennf_transformation,[],[f101]) ).
tff(f101,plain,
~ ( ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xO,xK))
=> ( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) )
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,szNzAzT0)
& ( slcrc0 != X0 ) ) )
=> ? [X1] :
( ? [X2] :
( ! [X3] :
( aElementOf0(X3,slbdtsldtrb0(X2,xK))
=> ( sdtlpdtrp0(xc,X3) = X1 ) )
& isCountable0(X2)
& aSubsetOf0(X2,xS) )
& aElementOf0(X1,xT) ) ),
inference(rectify,[],[f100]) ).
tff(f100,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xO,xK))
=> ( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) )
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,szNzAzT0)
& ( slcrc0 != X0 ) ) )
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
=> ( sdtlpdtrp0(xc,X2) = X0 ) )
& isCountable0(X1)
& aSubsetOf0(X1,xS) )
& aElementOf0(X0,xT) ) ),
inference(negated_conjecture,[],[f99]) ).
tff(f99,conjecture,
( ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xO,xK))
=> ( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) )
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,szNzAzT0)
& ( slcrc0 != X0 ) ) )
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
=> ( sdtlpdtrp0(xc,X2) = X0 ) )
& isCountable0(X1)
& aSubsetOf0(X1,xS) )
& aElementOf0(X0,xT) ) ),
file('/export/starexec/sandbox2/tmp/tmp.izAuTTcXat/Vampire---4.8_25542',m__) ).
tff(f695,plain,
( ~ aElementOf0(sK10(szDzizrdt0(xd),xO),slbdtsldtrb0(xO,xK))
| ~ spl29_5 ),
inference(subsumption_resolution,[],[f693,f356]) ).
tff(f693,plain,
( ~ aElementOf0(szDzizrdt0(xd),xT)
| ~ aElementOf0(sK10(szDzizrdt0(xd),xO),slbdtsldtrb0(xO,xK))
| ~ spl29_5 ),
inference(resolution,[],[f688,f558]) ).
tff(f558,plain,
! [X3: $i] :
( sQ28_eqProxy($i,szDzizrdt0(xd),sdtlpdtrp0(xc,X3))
| ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) ),
inference(equality_proxy_replacement,[],[f369,f534]) ).
tff(f534,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ28_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ28_eqProxy])]) ).
tff(f369,plain,
! [X3: $i] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X3) )
| ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) ),
inference(cnf_transformation,[],[f244]) ).
tff(f688,plain,
( ! [X0: $i] :
( ~ sQ28_eqProxy($i,X0,sdtlpdtrp0(xc,sK10(X0,xO)))
| ~ aElementOf0(X0,xT) )
| ~ spl29_5 ),
inference(subsumption_resolution,[],[f682,f361]) ).
tff(f682,plain,
( ! [X0: $i] :
( ~ isCountable0(xO)
| ~ sQ28_eqProxy($i,X0,sdtlpdtrp0(xc,sK10(X0,xO)))
| ~ aElementOf0(X0,xT) )
| ~ spl29_5 ),
inference(resolution,[],[f675,f635]) ).
tff(f675,plain,
! [X0: $i,X1: $i] :
( ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1)
| ~ sQ28_eqProxy($i,X0,sdtlpdtrp0(xc,sK10(X0,X1)))
| ~ aElementOf0(X0,xT) ),
inference(resolution,[],[f610,f557]) ).
tff(f557,plain,
! [X0: $i,X1: $i] :
( ~ sQ28_eqProxy($i,sdtlpdtrp0(xc,sK10(X0,X1)),X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(equality_proxy_replacement,[],[f371,f534]) ).
tff(f371,plain,
! [X0: $i,X1: $i] :
( ( sdtlpdtrp0(xc,sK10(X0,X1)) != X0 )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f244]) ).
tff(f610,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ28_eqProxy(X0,X2,X1)
| ~ sQ28_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f534]) ).
tff(f645,plain,
spl29_5,
inference(avatar_split_clause,[],[f365,f634]) ).
tff(f365,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f98]) ).
tff(f98,axiom,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox2/tmp/tmp.izAuTTcXat/Vampire---4.8_25542',m__4998) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : NUM633+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.15 % 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
% 0.14/0.35 % Computer : n023.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 : Tue Apr 30 17:06:55 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.izAuTTcXat/Vampire---4.8_25542
% 0.62/0.82 % (25783)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)
% 0.62/0.82 % (25785)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)
% 0.62/0.82 % (25782)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.82 % (25780)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)
% 0.62/0.82 % (25781)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)
% 0.62/0.82 % (25784)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)
% 0.62/0.82 % (25786)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 % (25787)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)
% 0.62/0.83 % (25780)First to succeed.
% 0.62/0.83 % (25782)Also succeeded, but the first one will report.
% 0.62/0.83 % (25780)Refutation found. Thanks to Tanya!
% 0.62/0.83 % SZS status Theorem for Vampire---4
% 0.62/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.83 % (25780)------------------------------
% 0.62/0.83 % (25780)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (25780)Termination reason: Refutation
% 0.62/0.83
% 0.62/0.83 % (25780)Memory used [KB]: 1373
% 0.62/0.83 % (25780)Time elapsed: 0.011 s
% 0.62/0.83 % (25780)Instructions burned: 17 (million)
% 0.62/0.83 % (25780)------------------------------
% 0.62/0.83 % (25780)------------------------------
% 0.62/0.83 % (25705)Success in time 0.45 s
% 0.62/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------