TSTP Solution File: RNG102+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG102+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 03:41:53 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 266 ( 45 equ)
% Maximal formula atoms : 17 ( 8 avg)
% Number of connectives : 192 ( 74 ~; 69 |; 40 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 116 ( 116 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 5 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 76 ( 57 !; 18 ?; 23 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_14,type,
sQ12_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f207,plain,
$false,
inference(subsumption_resolution,[],[f206,f91]) ).
tff(f91,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
tff(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox/tmp/tmp.DSGkztsmNS/Vampire---4.8_10997',m__1905) ).
tff(f206,plain,
~ aElement0(xc),
inference(subsumption_resolution,[],[f205,f93]) ).
tff(f93,plain,
aElementOf0(xy,slsdtgt0(xc)),
inference(cnf_transformation,[],[f39]) ).
tff(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& aElementOf0(xx,slsdtgt0(xc)) ),
file('/export/starexec/sandbox/tmp/tmp.DSGkztsmNS/Vampire---4.8_10997',m__1933) ).
tff(f205,plain,
( ~ aElementOf0(xy,slsdtgt0(xc))
| ~ aElement0(xc) ),
inference(resolution,[],[f201,f141]) ).
tff(f141,plain,
! [X0: $i,X5: $i] :
( aElement0(sK11(X0,X5))
| ~ aElementOf0(X5,slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f119]) ).
tff(f119,plain,
! [X0: $i,X1: $i,X5: $i] :
( aElement0(sK11(X0,X5))
| ~ aElementOf0(X5,X1)
| ( slsdtgt0(X0) != X1 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f90]) ).
tff(f90,plain,
! [X0] :
( ! [X1] :
( ( ( slsdtgt0(X0) = X1 )
| ( ( ! [X3] :
( ( sdtasdt0(X0,X3) != sK9(X0,X1) )
| ~ aElement0(X3) )
| ~ aElementOf0(sK9(X0,X1),X1) )
& ( ( ( sK9(X0,X1) = sdtasdt0(X0,sK10(X0,X1)) )
& aElement0(sK10(X0,X1)) )
| aElementOf0(sK9(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ( sdtasdt0(X0,X6) != X5 )
| ~ aElement0(X6) ) )
& ( ( ( sdtasdt0(X0,sK11(X0,X5)) = X5 )
& aElement0(sK11(X0,X5)) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| ( slsdtgt0(X0) != X1 ) ) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f86,f89,f88,f87]) ).
tff(f87,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( ( sdtasdt0(X0,X3) != X2 )
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( ( sdtasdt0(X0,X4) = X2 )
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( ( sdtasdt0(X0,X3) != sK9(X0,X1) )
| ~ aElement0(X3) )
| ~ aElementOf0(sK9(X0,X1),X1) )
& ( ? [X4] :
( ( sdtasdt0(X0,X4) = sK9(X0,X1) )
& aElement0(X4) )
| aElementOf0(sK9(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f88,plain,
! [X0,X1] :
( ? [X4] :
( ( sdtasdt0(X0,X4) = sK9(X0,X1) )
& aElement0(X4) )
=> ( ( sK9(X0,X1) = sdtasdt0(X0,sK10(X0,X1)) )
& aElement0(sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f89,plain,
! [X0,X5] :
( ? [X7] :
( ( sdtasdt0(X0,X7) = X5 )
& aElement0(X7) )
=> ( ( sdtasdt0(X0,sK11(X0,X5)) = X5 )
& aElement0(sK11(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
tff(f86,plain,
! [X0] :
( ! [X1] :
( ( ( slsdtgt0(X0) = X1 )
| ? [X2] :
( ( ! [X3] :
( ( sdtasdt0(X0,X3) != X2 )
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( ( sdtasdt0(X0,X4) = X2 )
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ( sdtasdt0(X0,X6) != X5 )
| ~ aElement0(X6) ) )
& ( ? [X7] :
( ( sdtasdt0(X0,X7) = X5 )
& aElement0(X7) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| ( slsdtgt0(X0) != X1 ) ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f85]) ).
tff(f85,plain,
! [X0] :
( ! [X1] :
( ( ( slsdtgt0(X0) = X1 )
| ? [X2] :
( ( ! [X3] :
( ( sdtasdt0(X0,X3) != X2 )
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( ( sdtasdt0(X0,X3) = X2 )
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( ( sdtasdt0(X0,X3) != X2 )
| ~ aElement0(X3) ) )
& ( ? [X3] :
( ( sdtasdt0(X0,X3) = X2 )
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ( slsdtgt0(X0) != X1 ) ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f84]) ).
tff(f84,plain,
! [X0] :
( ! [X1] :
( ( ( slsdtgt0(X0) = X1 )
| ? [X2] :
( ( ! [X3] :
( ( sdtasdt0(X0,X3) != X2 )
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( ( sdtasdt0(X0,X3) = X2 )
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( ( sdtasdt0(X0,X3) != X2 )
| ~ aElement0(X3) ) )
& ( ? [X3] :
( ( sdtasdt0(X0,X3) = X2 )
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ( slsdtgt0(X0) != X1 ) ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f58]) ).
tff(f58,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1 )
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( ( sdtasdt0(X0,X3) = X2 )
& aElement0(X3) ) )
& aSet0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
tff(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( slsdtgt0(X0) = X1 )
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( ( sdtasdt0(X0,X3) = X2 )
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DSGkztsmNS/Vampire---4.8_10997',mDefPrIdeal) ).
tff(f201,plain,
~ aElement0(sK11(xc,xy)),
inference(subsumption_resolution,[],[f200,f91]) ).
tff(f200,plain,
( ~ aElement0(xc)
| ~ aElement0(sK11(xc,xy)) ),
inference(subsumption_resolution,[],[f199,f93]) ).
tff(f199,plain,
( ~ aElementOf0(xy,slsdtgt0(xc))
| ~ aElement0(xc)
| ~ aElement0(sK11(xc,xy)) ),
inference(resolution,[],[f198,f145]) ).
tff(f145,plain,
! [X0: $i] :
( ~ sQ12_eqProxy($i,xy,sdtasdt0(xc,X0))
| ~ aElement0(X0) ),
inference(equality_proxy_replacement,[],[f97,f143]) ).
tff(f143,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ12_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ12_eqProxy])]) ).
tff(f97,plain,
! [X0: $i] :
( ( xy != sdtasdt0(xc,X0) )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0] :
( ( xy != sdtasdt0(xc,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f42]) ).
tff(f42,negated_conjecture,
~ ? [X0] :
( ( xy = sdtasdt0(xc,X0) )
& aElement0(X0) ),
inference(negated_conjecture,[],[f41]) ).
tff(f41,conjecture,
? [X0] :
( ( xy = sdtasdt0(xc,X0) )
& aElement0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.DSGkztsmNS/Vampire---4.8_10997',m__) ).
tff(f198,plain,
! [X0: $i,X5: $i] :
( sQ12_eqProxy($i,X5,sdtasdt0(X0,sK11(X0,X5)))
| ~ aElementOf0(X5,slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(forward_literal_rewriting,[],[f159,f172]) ).
tff(f172,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ12_eqProxy(X0,X2,X1)
| ~ sQ12_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f143]) ).
tff(f159,plain,
! [X0: $i,X5: $i] :
( sQ12_eqProxy($i,sdtasdt0(X0,sK11(X0,X5)),X5)
| ~ aElementOf0(X5,slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_proxy_replacement,[],[f140,f143]) ).
tff(f140,plain,
! [X0: $i,X5: $i] :
( ( sdtasdt0(X0,sK11(X0,X5)) = X5 )
| ~ aElementOf0(X5,slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f120]) ).
tff(f120,plain,
! [X0: $i,X1: $i,X5: $i] :
( ( sdtasdt0(X0,sK11(X0,X5)) = X5 )
| ~ aElementOf0(X5,X1)
| ( slsdtgt0(X0) != X1 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG102+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 17:31:06 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.DSGkztsmNS/Vampire---4.8_10997
% 0.60/0.76 % (11255)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)
% 0.60/0.76 % (11261)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 % (11257)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (11256)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)
% 0.60/0.76 % (11258)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)
% 0.60/0.76 % (11259)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)
% 0.60/0.76 % (11260)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)
% 0.60/0.76 % (11255)First to succeed.
% 0.60/0.76 % (11255)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 % (11255)------------------------------
% 0.60/0.76 % (11255)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (11255)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (11255)Memory used [KB]: 1100
% 0.60/0.76 % (11255)Time elapsed: 0.004 s
% 0.60/0.76 % (11255)Instructions burned: 7 (million)
% 0.60/0.76 % (11255)------------------------------
% 0.60/0.76 % (11255)------------------------------
% 0.60/0.76 % (11250)Success in time 0.39 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------