TSTP Solution File: SEU501_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU501_8 : TPTP v8.1.2. Released v8.0.0.
% 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 : 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 03:53:55 EDT 2024
% Result : Theorem 0.56s 0.79s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 5 unt; 2 typ; 0 def)
% Number of atoms : 62 ( 8 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 37 ( 17 ~; 2 |; 6 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 36 ( 28 fml; 8 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 9 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 19 ( 13 !; 6 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK1: $o ).
tff(pred_def_3,type,
sQ2_eqProxy: ( $o * $o ) > $o ).
tff(f27,plain,
$false,
inference(subsumption_resolution,[],[f26,f16]) ).
tff(f16,plain,
emptysetAx,
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ( $true != sK1 )
& in(sK0,emptyset)
& emptysetAx ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f13,f12]) ).
tff(f12,plain,
( ? [X0] :
( ? [X1: $o] : ( $true != (X1) )
& in(X0,emptyset) )
=> ( ? [X1: $o] : ( $true != (X1) )
& in(sK0,emptyset) ) ),
introduced(choice_axiom,[]) ).
tff(f13,plain,
( ? [X1: $o] : ( $true != (X1) )
=> ( $true != sK1 ) ),
introduced(choice_axiom,[]) ).
tff(f11,plain,
( ? [X0] :
( ? [X1: $o] : ( $true != (X1) )
& in(X0,emptyset) )
& emptysetAx ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ( emptysetAx
=> ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : ( $true = (X1) ) ) ),
inference(fool_elimination,[],[f7]) ).
tff(f7,plain,
~ ( emptysetAx
=> ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : (X1) ) ),
inference(rectify,[],[f3]) ).
tff(f3,negated_conjecture,
~ ( emptysetAx
=> ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : (X1) ) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
( emptysetAx
=> ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : (X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lSDCLVVhz8/Vampire---4.8_28863',emptysetE) ).
tff(f26,plain,
~ emptysetAx,
inference(resolution,[],[f17,f15]) ).
tff(f15,plain,
! [X0: $i] :
( ~ in(X0,emptyset)
| ~ emptysetAx ),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
( ! [X0] : ~ in(X0,emptyset)
| ~ emptysetAx ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
( emptysetAx
=> ! [X0] : ~ in(X0,emptyset) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
tff(f6,plain,
( emptysetAx
<=> ! [X0] : ~ in(X0,emptyset) ),
inference(fool_elimination,[],[f1]) ).
tff(f1,axiom,
( emptysetAx
= ( ! [X0] : ~ in(X0,emptyset) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lSDCLVVhz8/Vampire---4.8_28863',emptysetAx) ).
tff(f17,plain,
in(sK0,emptyset),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU501_8 : TPTP v8.1.2. Released v8.0.0.
% 0.10/0.11 % 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
% 0.11/0.32 % Computer : n024.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 : Tue Apr 30 16:06:36 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TX0_THM_EQU_NAR problem
% 0.16/0.32 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.lSDCLVVhz8/Vampire---4.8_28863
% 0.56/0.79 % (28976)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)
% 0.56/0.79 % (28975)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.79 % (28973)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)
% 0.56/0.79 % (28978)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)
% 0.56/0.79 % (28974)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)
% 0.56/0.79 % (28977)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)
% 0.56/0.79 % (28979)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)
% 0.56/0.79 % (28980)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)
% 0.56/0.79 % (28979)Refutation not found, incomplete strategy% (28979)------------------------------
% 0.56/0.79 % (28979)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.79 % (28979)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.79
% 0.56/0.79 % (28979)Memory used [KB]: 944
% 0.56/0.79 % (28977)First to succeed.
% 0.56/0.79 % (28979)Time elapsed: 0.002 s
% 0.56/0.79 % (28979)Instructions burned: 2 (million)
% 0.56/0.79 % (28979)------------------------------
% 0.56/0.79 % (28979)------------------------------
% 0.56/0.79 % (28975)Also succeeded, but the first one will report.
% 0.56/0.79 % (28977)Refutation found. Thanks to Tanya!
% 0.56/0.79 % SZS status Theorem for Vampire---4
% 0.56/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.79 % (28977)------------------------------
% 0.56/0.79 % (28977)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.79 % (28977)Termination reason: Refutation
% 0.56/0.79
% 0.56/0.79 % (28977)Memory used [KB]: 971
% 0.56/0.79 % (28977)Time elapsed: 0.003 s
% 0.56/0.79 % (28977)Instructions burned: 2 (million)
% 0.56/0.79 % (28977)------------------------------
% 0.56/0.79 % (28977)------------------------------
% 0.56/0.79 % (28970)Success in time 0.464 s
% 0.63/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------