TSTP Solution File: RNG121+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG121+4 : 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 : n032.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 03:42:02 EDT 2024
% Result : Theorem 0.63s 0.81s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 327 ( 35 equ)
% Maximal formula atoms : 12 ( 12 avg)
% Number of connectives : 108 ( 24 ~; 20 |; 58 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 217 ( 217 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 40 ( 15 !; 24 ?; 10 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_17,type,
sQ47_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f653,plain,
$false,
inference(subsumption_resolution,[],[f652,f250]) ).
tff(f250,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf_transformation,[],[f148]) ).
tff(f148,plain,
( aElementOf0(xb,slsdtgt0(xb))
& ( xb = sdtasdt0(xb,sK12) )
& aElement0(sK12)
& aElementOf0(sz00,slsdtgt0(xb))
& ( sz00 = sdtasdt0(xb,sK13) )
& aElement0(sK13)
& aElementOf0(xa,slsdtgt0(xa))
& ( xa = sdtasdt0(xa,sK14) )
& aElement0(sK14)
& aElementOf0(sz00,slsdtgt0(xa))
& ( sz00 = sdtasdt0(xa,sK15) )
& aElement0(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15])],[f57,f147,f146,f145,f144]) ).
tff(f144,plain,
( ? [X0] :
( ( xb = sdtasdt0(xb,X0) )
& aElement0(X0) )
=> ( ( xb = sdtasdt0(xb,sK12) )
& aElement0(sK12) ) ),
introduced(choice_axiom,[]) ).
tff(f145,plain,
( ? [X1] :
( ( sz00 = sdtasdt0(xb,X1) )
& aElement0(X1) )
=> ( ( sz00 = sdtasdt0(xb,sK13) )
& aElement0(sK13) ) ),
introduced(choice_axiom,[]) ).
tff(f146,plain,
( ? [X2] :
( ( xa = sdtasdt0(xa,X2) )
& aElement0(X2) )
=> ( ( xa = sdtasdt0(xa,sK14) )
& aElement0(sK14) ) ),
introduced(choice_axiom,[]) ).
tff(f147,plain,
( ? [X3] :
( ( sz00 = sdtasdt0(xa,X3) )
& aElement0(X3) )
=> ( ( sz00 = sdtasdt0(xa,sK15) )
& aElement0(sK15) ) ),
introduced(choice_axiom,[]) ).
tff(f57,plain,
( aElementOf0(xb,slsdtgt0(xb))
& ? [X0] :
( ( xb = sdtasdt0(xb,X0) )
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X1] :
( ( sz00 = sdtasdt0(xb,X1) )
& aElement0(X1) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X2] :
( ( xa = sdtasdt0(xa,X2) )
& aElement0(X2) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X3] :
( ( sz00 = sdtasdt0(xa,X3) )
& aElement0(X3) ) ),
inference(rectify,[],[f43]) ).
tff(f43,axiom,
( aElementOf0(xb,slsdtgt0(xb))
& ? [X0] :
( ( xb = sdtasdt0(xb,X0) )
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X0] :
( ( sz00 = sdtasdt0(xb,X0) )
& aElement0(X0) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X0] :
( ( xa = sdtasdt0(xa,X0) )
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X0] :
( ( sz00 = sdtasdt0(xa,X0) )
& aElement0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UVeuRIosY8/Vampire---4.8_6221',m__2203) ).
tff(f652,plain,
~ aElementOf0(sz00,slsdtgt0(xa)),
inference(subsumption_resolution,[],[f651,f259]) ).
tff(f259,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[],[f148]) ).
tff(f651,plain,
( ~ aElementOf0(xb,slsdtgt0(xb))
| ~ aElementOf0(sz00,slsdtgt0(xa)) ),
inference(subsumption_resolution,[],[f650,f211]) ).
tff(f211,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
tff(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/tmp/tmp.UVeuRIosY8/Vampire---4.8_6221',m__2091) ).
tff(f650,plain,
( ~ aElement0(xb)
| ~ aElementOf0(xb,slsdtgt0(xb))
| ~ aElementOf0(sz00,slsdtgt0(xa)) ),
inference(resolution,[],[f439,f430]) ).
tff(f430,plain,
! [X0: $i,X1: $i] :
( ~ sQ47_eqProxy($i,sdtpldt0(X0,X1),xb)
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(equality_proxy_replacement,[],[f302,f398]) ).
tff(f398,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ47_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ47_eqProxy])]) ).
tff(f302,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) != xb )
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f77]) ).
tff(f77,plain,
( ~ aElementOf0(xb,xI)
& ! [X0,X1] :
( ( sdtpldt0(X0,X1) != xb )
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) )
& ! [X2,X3] :
( ( xb != sdtpldt0(X2,X3) )
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ) ),
inference(ennf_transformation,[],[f62]) ).
tff(f62,plain,
~ ( aElementOf0(xb,xI)
| ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xb )
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
| ? [X2,X3] :
( ( xb = sdtpldt0(X2,X3) )
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) ),
inference(rectify,[],[f54]) ).
tff(f54,negated_conjecture,
~ ( aElementOf0(xb,xI)
| ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xb )
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
| ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xb )
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
inference(negated_conjecture,[],[f53]) ).
tff(f53,conjecture,
( aElementOf0(xb,xI)
| ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xb )
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
| ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xb )
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UVeuRIosY8/Vampire---4.8_6221',m__) ).
tff(f439,plain,
! [X0: $i] :
( sQ47_eqProxy($i,sdtpldt0(sz00,X0),X0)
| ~ aElement0(X0) ),
inference(equality_proxy_replacement,[],[f312,f398]) ).
tff(f312,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f87]) ).
tff(f87,plain,
! [X0] :
( ( ( sdtpldt0(sz00,X0) = X0 )
& ( sdtpldt0(X0,sz00) = X0 ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( ( sdtpldt0(sz00,X0) = X0 )
& ( sdtpldt0(X0,sz00) = X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UVeuRIosY8/Vampire---4.8_6221',mAddZero) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : RNG121+4 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.11 % 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
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 17:39:51 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32 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.UVeuRIosY8/Vampire---4.8_6221
% 0.63/0.80 % (6331)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)
% 0.63/0.80 % (6334)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)
% 0.63/0.80 % (6335)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)
% 0.63/0.80 % (6333)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.80 % (6332)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)
% 0.63/0.80 % (6337)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)
% 0.63/0.80 % (6336)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)
% 0.63/0.80 % (6338)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)
% 0.63/0.80 % (6331)First to succeed.
% 0.63/0.81 % (6338)Also succeeded, but the first one will report.
% 0.63/0.81 % (6332)Also succeeded, but the first one will report.
% 0.63/0.81 % (6331)Refutation found. Thanks to Tanya!
% 0.63/0.81 % SZS status Theorem for Vampire---4
% 0.63/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.81 % (6331)------------------------------
% 0.63/0.81 % (6331)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (6331)Termination reason: Refutation
% 0.63/0.81
% 0.63/0.81 % (6331)Memory used [KB]: 1287
% 0.63/0.81 % (6331)Time elapsed: 0.009 s
% 0.63/0.81 % (6331)Instructions burned: 14 (million)
% 0.63/0.81 % (6331)------------------------------
% 0.63/0.81 % (6331)------------------------------
% 0.63/0.81 % (6328)Success in time 0.477 s
% 0.63/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------