TSTP Solution File: NUM533+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM533+2 : 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 : n015.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 03:31:53 EDT 2024
% Result : Theorem 0.62s 0.80s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 9 ( 12 avg)
% Number of connectives : 86 ( 25 ~; 13 |; 35 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 104 ( 104 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 24 ( 19 !; 4 ?; 3 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_7,type,
sQ3_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f72,plain,
$false,
inference(subsumption_resolution,[],[f71,f50]) ).
tff(f50,plain,
aElementOf0(sK0,xA),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
( ~ aSubsetOf0(xA,xC)
& ~ aElementOf0(sK0,xC)
& aElementOf0(sK0,xA)
& aSubsetOf0(xB,xC)
& ! [X1] :
( aElementOf0(X1,xC)
| ~ aElementOf0(X1,xB) )
& aSubsetOf0(xA,xB)
& ! [X2] :
( aElementOf0(X2,xB)
| ~ aElementOf0(X2,xA) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f30,f31]) ).
tff(f31,plain,
( ? [X0] :
( ~ aElementOf0(X0,xC)
& aElementOf0(X0,xA) )
=> ( ~ aElementOf0(sK0,xC)
& aElementOf0(sK0,xA) ) ),
introduced(choice_axiom,[]) ).
tff(f30,plain,
( ~ aSubsetOf0(xA,xC)
& ? [X0] :
( ~ aElementOf0(X0,xC)
& aElementOf0(X0,xA) )
& aSubsetOf0(xB,xC)
& ! [X1] :
( aElementOf0(X1,xC)
| ~ aElementOf0(X1,xB) )
& aSubsetOf0(xA,xB)
& ! [X2] :
( aElementOf0(X2,xB)
| ~ aElementOf0(X2,xA) ) ),
inference(rectify,[],[f22]) ).
tff(f22,plain,
( ~ aSubsetOf0(xA,xC)
& ? [X2] :
( ~ aElementOf0(X2,xC)
& aElementOf0(X2,xA) )
& aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xC)
| ~ aElementOf0(X0,xB) )
& aSubsetOf0(xA,xB)
& ! [X1] :
( aElementOf0(X1,xB)
| ~ aElementOf0(X1,xA) ) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
( ~ aSubsetOf0(xA,xC)
& ? [X2] :
( ~ aElementOf0(X2,xC)
& aElementOf0(X2,xA) )
& aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xC)
| ~ aElementOf0(X0,xB) )
& aSubsetOf0(xA,xB)
& ! [X1] :
( aElementOf0(X1,xB)
| ~ aElementOf0(X1,xA) ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
~ ( ( aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& aSubsetOf0(xA,xB)
& ! [X1] :
( aElementOf0(X1,xA)
=> aElementOf0(X1,xB) ) )
=> ( aSubsetOf0(xA,xC)
| ! [X2] :
( aElementOf0(X2,xA)
=> aElementOf0(X2,xC) ) ) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ( ( aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& aSubsetOf0(xA,xB)
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xB) ) )
=> ( aSubsetOf0(xA,xC)
| ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xC) ) ) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
( ( aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& aSubsetOf0(xA,xB)
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xB) ) )
=> ( aSubsetOf0(xA,xC)
| ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xC) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IBfqn8Zuhd/Vampire---4.8_17849',m__) ).
tff(f71,plain,
~ aElementOf0(sK0,xA),
inference(resolution,[],[f70,f46]) ).
tff(f46,plain,
! [X2: $i] :
( aElementOf0(X2,xB)
| ~ aElementOf0(X2,xA) ),
inference(cnf_transformation,[],[f32]) ).
tff(f70,plain,
~ aElementOf0(sK0,xB),
inference(resolution,[],[f48,f51]) ).
tff(f51,plain,
~ aElementOf0(sK0,xC),
inference(cnf_transformation,[],[f32]) ).
tff(f48,plain,
! [X1: $i] :
( aElementOf0(X1,xC)
| ~ aElementOf0(X1,xB) ),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM533+2 : 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 : n015.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 : Tue Apr 30 17:11:48 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.IBfqn8Zuhd/Vampire---4.8_17849
% 0.62/0.80 % (18044)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)
% 0.62/0.80 % (18046)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80 % (18045)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)
% 0.62/0.80 % (18047)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)
% 0.62/0.80 % (18050)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)
% 0.62/0.80 % (18048)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)
% 0.62/0.80 % (18049)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)
% 0.62/0.80 % (18051)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)
% 0.62/0.80 % (18044)First to succeed.
% 0.62/0.80 % (18047)Also succeeded, but the first one will report.
% 0.62/0.80 % (18045)Also succeeded, but the first one will report.
% 0.62/0.80 % (18044)Refutation found. Thanks to Tanya!
% 0.62/0.80 % SZS status Theorem for Vampire---4
% 0.62/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80 % (18044)------------------------------
% 0.62/0.80 % (18044)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (18044)Termination reason: Refutation
% 0.62/0.80
% 0.62/0.80 % (18044)Memory used [KB]: 967
% 0.62/0.80 % (18044)Time elapsed: 0.002 s
% 0.62/0.80 % (18044)Instructions burned: 3 (million)
% 0.62/0.80 % (18044)------------------------------
% 0.62/0.80 % (18044)------------------------------
% 0.62/0.80 % (18003)Success in time 0.435 s
% 0.62/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------