TSTP Solution File: ARI559_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI559_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n018.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 04:33:58 EDT 2024
% Result : Theorem 0.61s 0.81s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 12 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 5 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 41 ( 0 atm; 12 fun; 24 num; 5 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ0_eqProxy: ( $rat * $rat ) > $o ).
tff(f36,plain,
$false,
inference(subsumption_resolution,[],[f35,f34]) ).
tff(f34,plain,
! [X0: $rat] : sQ0_eqProxy(X0,X0),
inference(evaluation,[],[f27]) ).
tff(f27,plain,
! [X0: $rat] : sQ0_eqProxy($sum(X0,0/1),X0),
inference(equality_proxy_replacement,[],[f5,f23]) ).
tff(f23,plain,
! [X0: $rat,X1: $rat] :
( sQ0_eqProxy(X0,X1)
<=> ( X0 = X1 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f35,plain,
~ sQ0_eqProxy(0/1,0/1),
inference(evaluation,[],[f24]) ).
tff(f24,plain,
~ sQ0_eqProxy(0/1,$product($sum(-1/2,-1/3),0/1)),
inference(equality_proxy_replacement,[],[f21,f23]) ).
tff(f21,plain,
0/1 != $product($sum(-1/2,-1/3),0/1),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
0/1 != $product($sum(-1/2,-1/3),0/1),
inference(flattening,[],[f2]) ).
tff(f2,negated_conjecture,
( ~ 0/1 = $product($sum(-1/2,-1/3),0/1) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
0/1 = $product($sum(-1/2,-1/3),0/1),
file('/export/starexec/sandbox2/tmp/tmp.TxT4JjHnNF/Vampire---4.8_30626',rat_combined_problem_19) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI559_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.15 % 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 : n018.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 : Fri May 3 21:42:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_EQU_ARI 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.TxT4JjHnNF/Vampire---4.8_30626
% 0.61/0.81 % (30835)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)
% 0.61/0.81 % (30838)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)
% 0.61/0.81 % (30831)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)
% 0.61/0.81 % (30836)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)
% 0.61/0.81 % (30833)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81 % (30834)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)
% 0.61/0.81 % (30837)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)
% 0.61/0.81 % (30832)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)
% 0.61/0.81 % (30835)Also succeeded, but the first one will report.
% 0.61/0.81 % (30838)First to succeed.
% 0.61/0.81 % (30831)Also succeeded, but the first one will report.
% 0.61/0.81 % (30836)Also succeeded, but the first one will report.
% 0.61/0.81 % (30834)Also succeeded, but the first one will report.
% 0.61/0.81 % (30838)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30792"
% 0.61/0.81 % (30833)Also succeeded, but the first one will report.
% 0.61/0.81 % (30832)Also succeeded, but the first one will report.
% 0.61/0.81 % (30837)Also succeeded, but the first one will report.
% 0.61/0.81 % (30838)Refutation found. Thanks to Tanya!
% 0.61/0.81 % SZS status Theorem for Vampire---4
% 0.61/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81 % (30838)------------------------------
% 0.61/0.81 % (30838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (30838)Termination reason: Refutation
% 0.61/0.81
% 0.61/0.81 % (30838)Memory used [KB]: 959
% 0.61/0.81 % (30838)Time elapsed: 0.003 s
% 0.61/0.81 % (30838)Instructions burned: 3 (million)
% 0.61/0.81 % (30792)Success in time 0.447 s
% 0.61/0.81 % Vampire---4.8 exiting
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