TSTP Solution File: NUM472+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM472+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 : n012.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 03:31:25 EDT 2024
% Result : Theorem 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 127 ( 12 equ)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 96 ( 40 ~; 35 |; 15 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 47 ( 47 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 39 ( 32 !; 6 ?; 10 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_5,type,
sQ2_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f219,plain,
$false,
inference(subsumption_resolution,[],[f218,f101]) ).
tff(f101,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
tff(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/tmp/tmp.JerpAIjRpn/Vampire---4.8_8949',m__1324) ).
tff(f218,plain,
~ aNaturalNumber0(xm),
inference(subsumption_resolution,[],[f217,f102]) ).
tff(f102,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
tff(f217,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f216,f108]) ).
tff(f108,plain,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(flattening,[],[f40]) ).
tff(f40,negated_conjecture,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(negated_conjecture,[],[f39]) ).
tff(f39,conjecture,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox2/tmp/tmp.JerpAIjRpn/Vampire---4.8_8949',m__) ).
tff(f216,plain,
! [X2: $i,X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f155,f144]) ).
tff(f144,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f81]) ).
tff(f81,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
tff(f80,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.JerpAIjRpn/Vampire---4.8_8949',mSortsB) ).
tff(f155,plain,
! [X2: $i,X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f125]) ).
tff(f125,plain,
! [X2: $i,X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X0,X2) != X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f93]) ).
tff(f93,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ( sdtpldt0(X0,X2) != X1 )
| ~ aNaturalNumber0(X2) ) )
& ( ( ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
& aNaturalNumber0(sK0(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f91,f92]) ).
tff(f92,plain,
! [X0,X1] :
( ? [X3] :
( ( sdtpldt0(X0,X3) = X1 )
& aNaturalNumber0(X3) )
=> ( ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
& aNaturalNumber0(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f91,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ( sdtpldt0(X0,X2) != X1 )
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( ( sdtpldt0(X0,X3) = X1 )
& aNaturalNumber0(X3) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f90]) ).
tff(f90,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ( sdtpldt0(X0,X2) != X1 )
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( ( sdtpldt0(X0,X2) = X1 )
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f57]) ).
tff(f57,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( ( sdtpldt0(X0,X2) = X1 )
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f56]) ).
tff(f56,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( ( sdtpldt0(X0,X2) = X1 )
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( ( sdtpldt0(X0,X2) = X1 )
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JerpAIjRpn/Vampire---4.8_8949',mDefLE) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM472+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % 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 : n012.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 16:49:11 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.JerpAIjRpn/Vampire---4.8_8949
% 0.55/0.76 % (9128)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)
% 0.55/0.76 % (9122)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)
% 0.55/0.76 % (9124)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76 % (9123)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)
% 0.55/0.76 % (9125)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)
% 0.55/0.76 % (9126)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)
% 0.55/0.76 % (9129)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 (2996ds/56Mi)
% 0.55/0.77 % (9122)First to succeed.
% 0.55/0.77 % (9126)Also succeeded, but the first one will report.
% 0.55/0.77 % (9122)Refutation found. Thanks to Tanya!
% 0.55/0.77 % SZS status Theorem for Vampire---4
% 0.55/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.77 % (9122)------------------------------
% 0.55/0.77 % (9122)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77 % (9122)Termination reason: Refutation
% 0.55/0.77
% 0.55/0.77 % (9122)Memory used [KB]: 1090
% 0.55/0.77 % (9122)Time elapsed: 0.005 s
% 0.55/0.77 % (9122)Instructions burned: 6 (million)
% 0.55/0.77 % (9122)------------------------------
% 0.55/0.77 % (9122)------------------------------
% 0.55/0.77 % (9121)Success in time 0.394 s
% 0.55/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------