TSTP Solution File: NUM557+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM557+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 : n013.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 : Sun May 5 08:13:00 EDT 2024
% Result : Theorem 0.58s 0.83s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 145 ( 40 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 192 ( 74 ~; 72 |; 38 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 46 ( 42 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1148,plain,
$false,
inference(subsumption_resolution,[],[f1147,f188]) ).
fof(f188,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox2/tmp/tmp.sIes5KZj7D/Vampire---4.8_8399',m__2202_02) ).
fof(f1147,plain,
~ aSet0(xS),
inference(subsumption_resolution,[],[f1141,f205]) ).
fof(f205,plain,
aSubsetOf0(xP,xS),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
( xk = sbrdtbr0(xP)
& aSubsetOf0(xP,xS) ),
file('/export/starexec/sandbox2/tmp/tmp.sIes5KZj7D/Vampire---4.8_8399',m__2431) ).
fof(f1141,plain,
( ~ aSubsetOf0(xP,xS)
| ~ aSet0(xS) ),
inference(resolution,[],[f845,f207]) ).
fof(f207,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(flattening,[],[f74]) ).
fof(f74,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(negated_conjecture,[],[f73]) ).
fof(f73,conjecture,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/tmp/tmp.sIes5KZj7D/Vampire---4.8_8399',m__) ).
fof(f845,plain,
! [X0] :
( aElementOf0(xP,slbdtsldtrb0(X0,xk))
| ~ aSubsetOf0(xP,X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f842,f187]) ).
fof(f187,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmp.sIes5KZj7D/Vampire---4.8_8399',m__2202) ).
fof(f842,plain,
! [X0] :
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSubsetOf0(xP,X0)
| aElementOf0(xP,slbdtsldtrb0(X0,xk))
| ~ aSet0(X0) ),
inference(superposition,[],[f295,f206]) ).
fof(f206,plain,
xk = sbrdtbr0(xP),
inference(cnf_transformation,[],[f72]) ).
fof(f295,plain,
! [X0,X4] :
( ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSubsetOf0(X4,X0)
| aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f294]) ).
fof(f294,plain,
! [X2,X0,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f235]) ).
fof(f235,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ( ( sbrdtbr0(sK7(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK7(X0,X1,X2),X0)
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK7(X0,X1,X2)) = X1
& aSubsetOf0(sK7(X0,X1,X2),X0) )
| aElementOf0(sK7(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f168,f169]) ).
fof(f169,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK7(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK7(X0,X1,X2),X0)
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK7(X0,X1,X2)) = X1
& aSubsetOf0(sK7(X0,X1,X2),X0) )
| aElementOf0(sK7(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.sIes5KZj7D/Vampire---4.8_8399',mDefSel) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : NUM557+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12 % 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
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 14:50:08 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 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.sIes5KZj7D/Vampire---4.8_8399
% 0.58/0.80 % (8514)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)
% 0.58/0.80 % (8513)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.80 % (8516)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)
% 0.58/0.80 % (8515)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)
% 0.58/0.80 % (8511)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)
% 0.58/0.80 % (8512)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)
% 0.58/0.80 % (8517)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)
% 0.58/0.80 % (8518)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)
% 0.58/0.82 % (8515)Instruction limit reached!
% 0.58/0.82 % (8515)------------------------------
% 0.58/0.82 % (8515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.82 % (8515)Termination reason: Unknown
% 0.58/0.82 % (8515)Termination phase: Saturation
% 0.58/0.82
% 0.58/0.82 % (8515)Memory used [KB]: 1730
% 0.58/0.82 % (8515)Time elapsed: 0.021 s
% 0.58/0.82 % (8515)Instructions burned: 35 (million)
% 0.58/0.82 % (8515)------------------------------
% 0.58/0.82 % (8515)------------------------------
% 0.58/0.83 % (8514)Instruction limit reached!
% 0.58/0.83 % (8514)------------------------------
% 0.58/0.83 % (8514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.83 % (8514)Termination reason: Unknown
% 0.58/0.83 % (8514)Termination phase: Saturation
% 0.58/0.83
% 0.58/0.83 % (8514)Memory used [KB]: 1666
% 0.58/0.83 % (8514)Time elapsed: 0.022 s
% 0.58/0.83 % (8514)Instructions burned: 35 (million)
% 0.58/0.83 % (8514)------------------------------
% 0.58/0.83 % (8514)------------------------------
% 0.58/0.83 % (8511)Instruction limit reached!
% 0.58/0.83 % (8511)------------------------------
% 0.58/0.83 % (8511)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.83 % (8511)Termination reason: Unknown
% 0.58/0.83 % (8511)Termination phase: Saturation
% 0.58/0.83
% 0.58/0.83 % (8511)Memory used [KB]: 1494
% 0.58/0.83 % (8511)Time elapsed: 0.022 s
% 0.58/0.83 % (8511)Instructions burned: 34 (million)
% 0.58/0.83 % (8511)------------------------------
% 0.58/0.83 % (8511)------------------------------
% 0.58/0.83 % (8519)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.58/0.83 % (8521)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.58/0.83 % (8516)Instruction limit reached!
% 0.58/0.83 % (8516)------------------------------
% 0.58/0.83 % (8516)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.83 % (8516)Termination reason: Unknown
% 0.58/0.83 % (8516)Termination phase: Saturation
% 0.58/0.83
% 0.58/0.83 % (8516)Memory used [KB]: 1623
% 0.58/0.83 % (8516)Time elapsed: 0.028 s
% 0.58/0.83 % (8516)Instructions burned: 46 (million)
% 0.58/0.83 % (8516)------------------------------
% 0.58/0.83 % (8516)------------------------------
% 0.58/0.83 % (8522)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.58/0.83 % (8513)First to succeed.
% 0.58/0.83 % (8513)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8509"
% 0.58/0.83 % (8513)Refutation found. Thanks to Tanya!
% 0.58/0.83 % SZS status Theorem for Vampire---4
% 0.58/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.83 % (8513)------------------------------
% 0.58/0.83 % (8513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.83 % (8513)Termination reason: Refutation
% 0.58/0.83
% 0.58/0.83 % (8513)Memory used [KB]: 1422
% 0.58/0.83 % (8513)Time elapsed: 0.029 s
% 0.58/0.83 % (8513)Instructions burned: 46 (million)
% 0.58/0.83 % (8509)Success in time 0.488 s
% 0.58/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------