TSTP Solution File: ARI593_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI593_1 : TPTP v8.1.2. Released v5.1.0.
% 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 : n015.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 02:09:26 EDT 2024

% Result   : Theorem 0.71s 0.81s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   9 unt;   1 typ;   0 def)
%            Number of atoms       :   25 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (   7   ~;   0   |;  10   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   55 (   0 atm;  18 fun;  25 num;  12 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   0 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (  10   !;   2   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_1,type,
    p: $int > $o ).

tff(f761,plain,
    $false,
    inference(subsumption_resolution,[],[f759,f24]) ).

tff(f24,plain,
    p(6),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    ( ! [X0: $int] : ~ p($product(3,X0))
    & p(7)
    & p(6)
    & p(5) ),
    inference(flattening,[],[f21]) ).

tff(f21,plain,
    ( ! [X0: $int] : ~ p($product(3,X0))
    & p(7)
    & p(6)
    & p(5) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( p(7)
        & p(6)
        & p(5) )
     => ? [X0: $int] : p($product(3,X0)) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( p(7)
      & p(6)
      & p(5) )
   => ? [X0: $int] : p($product(3,X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.XJ0UN95Uxi/Vampire---4.8_17124',exists_X_in_5_6_7_div_3) ).

tff(f759,plain,
    ~ p(6),
    inference(evaluation,[],[f756]) ).

tff(f756,plain,
    ~ p($sum(3,3)),
    inference(superposition,[],[f725,f16]) ).

tff(f16,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f725,plain,
    ! [X0: $int] : ~ p($sum(3,$product(3,X0))),
    inference(superposition,[],[f26,f300]) ).

tff(f300,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
    inference(superposition,[],[f18,f16]) ).

tff(f18,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
    introduced(theory_axiom_150,[]) ).

tff(f26,plain,
    ! [X0: $int] : ~ p($product(3,X0)),
    inference(cnf_transformation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : ARI593_1 : TPTP v8.1.2. Released v5.1.0.
% 0.08/0.15  % 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
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 19:13:18 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TF0_THM_NEQ_ARI problem
% 0.14/0.36  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.XJ0UN95Uxi/Vampire---4.8_17124
% 0.55/0.74  % (17310)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)
% 0.55/0.74  % (17317)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)
% 0.55/0.74  % (17317)Refutation not found, incomplete strategy% (17317)------------------------------
% 0.55/0.74  % (17317)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (17317)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (17317)Memory used [KB]: 950
% 0.55/0.74  % (17317)Time elapsed: 0.001 s
% 0.55/0.74  % (17317)Instructions burned: 2 (million)
% 0.55/0.74  % (17317)------------------------------
% 0.55/0.74  % (17317)------------------------------
% 0.55/0.74  % (17310)Refutation not found, incomplete strategy% (17310)------------------------------
% 0.55/0.74  % (17310)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (17310)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (17310)Memory used [KB]: 969
% 0.55/0.74  % (17310)Time elapsed: 0.002 s
% 0.55/0.74  % (17310)Instructions burned: 3 (million)
% 0.55/0.74  % (17310)------------------------------
% 0.55/0.74  % (17310)------------------------------
% 0.55/0.74  % (17312)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (17311)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)
% 0.55/0.74  % (17313)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)
% 0.55/0.74  % (17314)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)
% 0.55/0.74  % (17315)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74  % (17316)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)
% 0.55/0.74  % (17313)Refutation not found, incomplete strategy% (17313)------------------------------
% 0.55/0.74  % (17313)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (17313)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (17314)Refutation not found, incomplete strategy% (17314)------------------------------
% 0.55/0.74  % (17314)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (17313)Memory used [KB]: 952
% 0.55/0.74  % (17313)Time elapsed: 0.003 s
% 0.55/0.74  % (17313)Instructions burned: 2 (million)
% 0.55/0.74  % (17313)------------------------------
% 0.55/0.74  % (17313)------------------------------
% 0.55/0.74  % (17314)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (17314)Memory used [KB]: 953
% 0.55/0.74  % (17314)Time elapsed: 0.003 s
% 0.55/0.74  % (17314)Instructions burned: 3 (million)
% 0.55/0.74  % (17314)------------------------------
% 0.55/0.74  % (17314)------------------------------
% 0.55/0.74  % (17320)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 (2996ds/55Mi)
% 0.55/0.74  % (17321)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 (2996ds/50Mi)
% 0.55/0.74  % (17321)Refutation not found, incomplete strategy% (17321)------------------------------
% 0.55/0.74  % (17321)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (17321)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (17321)Memory used [KB]: 954
% 0.55/0.74  % (17321)Time elapsed: 0.002 s
% 0.55/0.74  % (17321)Instructions burned: 3 (million)
% 0.55/0.74  % (17321)------------------------------
% 0.55/0.74  % (17321)------------------------------
% 0.55/0.74  % (17323)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 (2996ds/208Mi)
% 0.55/0.74  % (17325)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.55/0.74  % (17324)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.55/0.76  % (17315)Instruction limit reached!
% 0.55/0.76  % (17315)------------------------------
% 0.55/0.76  % (17315)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (17315)Termination reason: Unknown
% 0.55/0.76  % (17315)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (17315)Memory used [KB]: 1250
% 0.55/0.76  % (17315)Time elapsed: 0.021 s
% 0.55/0.76  % (17315)Instructions burned: 45 (million)
% 0.55/0.76  % (17315)------------------------------
% 0.55/0.76  % (17315)------------------------------
% 0.55/0.76  % (17320)Instruction limit reached!
% 0.55/0.76  % (17320)------------------------------
% 0.55/0.76  % (17320)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (17320)Termination reason: Unknown
% 0.55/0.76  % (17320)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (17320)Memory used [KB]: 1343
% 0.55/0.76  % (17320)Time elapsed: 0.020 s
% 0.55/0.76  % (17320)Instructions burned: 56 (million)
% 0.55/0.76  % (17320)------------------------------
% 0.55/0.76  % (17320)------------------------------
% 0.55/0.76  % (17311)Instruction limit reached!
% 0.55/0.76  % (17311)------------------------------
% 0.55/0.76  % (17311)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (17311)Termination reason: Unknown
% 0.55/0.76  % (17311)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (17311)Memory used [KB]: 1308
% 0.55/0.76  % (17311)Time elapsed: 0.024 s
% 0.55/0.76  % (17311)Instructions burned: 51 (million)
% 0.55/0.76  % (17311)------------------------------
% 0.55/0.76  % (17311)------------------------------
% 0.55/0.76  % (17333)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.55/0.76  % (17335)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.55/0.76  % (17333)Refutation not found, incomplete strategy% (17333)------------------------------
% 0.55/0.76  % (17333)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (17333)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (17333)Memory used [KB]: 956
% 0.55/0.76  % (17333)Time elapsed: 0.004 s
% 0.55/0.76  % (17333)Instructions burned: 3 (million)
% 0.55/0.76  % (17333)------------------------------
% 0.55/0.76  % (17333)------------------------------
% 0.55/0.77  % (17337)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.55/0.77  % (17339)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.55/0.77  % (17316)Instruction limit reached!
% 0.55/0.77  % (17316)------------------------------
% 0.55/0.77  % (17316)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77  % (17316)Termination reason: Unknown
% 0.55/0.77  % (17316)Termination phase: Saturation
% 0.55/0.77  
% 0.55/0.77  % (17316)Memory used [KB]: 1438
% 0.55/0.77  % (17316)Time elapsed: 0.037 s
% 0.55/0.77  % (17316)Instructions burned: 83 (million)
% 0.55/0.77  % (17316)------------------------------
% 0.55/0.77  % (17316)------------------------------
% 0.55/0.78  % (17324)Instruction limit reached!
% 0.55/0.78  % (17324)------------------------------
% 0.55/0.78  % (17324)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78  % (17324)Termination reason: Unknown
% 0.55/0.78  % (17324)Termination phase: Saturation
% 0.55/0.78  
% 0.55/0.78  % (17324)Memory used [KB]: 1401
% 0.55/0.78  % (17324)Time elapsed: 0.033 s
% 0.55/0.78  % (17324)Instructions burned: 53 (million)
% 0.55/0.78  % (17324)------------------------------
% 0.55/0.78  % (17324)------------------------------
% 0.71/0.78  % (17343)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.71/0.78  % (17312)Instruction limit reached!
% 0.71/0.78  % (17312)------------------------------
% 0.71/0.78  % (17312)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.78  % (17312)Termination reason: Unknown
% 0.71/0.78  % (17312)Termination phase: Saturation
% 0.71/0.78  
% 0.71/0.78  % (17312)Memory used [KB]: 1501
% 0.71/0.78  % (17312)Time elapsed: 0.043 s
% 0.71/0.78  % (17312)Instructions burned: 80 (million)
% 0.71/0.78  % (17312)------------------------------
% 0.71/0.78  % (17312)------------------------------
% 0.71/0.78  % (17345)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.71/0.78  % (17345)Refutation not found, incomplete strategy% (17345)------------------------------
% 0.71/0.78  % (17345)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.78  % (17345)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.78  
% 0.71/0.78  % (17345)Memory used [KB]: 952
% 0.71/0.78  % (17345)Time elapsed: 0.003 s
% 0.71/0.78  % (17345)Instructions burned: 3 (million)
% 0.71/0.78  % (17345)------------------------------
% 0.71/0.78  % (17345)------------------------------
% 0.71/0.78  % (17348)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.71/0.79  % (17349)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.71/0.80  % (17348)Instruction limit reached!
% 0.71/0.80  % (17348)------------------------------
% 0.71/0.80  % (17348)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.80  % (17348)Termination reason: Unknown
% 0.71/0.80  % (17348)Termination phase: Saturation
% 0.71/0.80  
% 0.71/0.80  % (17348)Memory used [KB]: 1212
% 0.71/0.80  % (17348)Time elapsed: 0.018 s
% 0.71/0.80  % (17348)Instructions burned: 33 (million)
% 0.71/0.80  % (17348)------------------------------
% 0.71/0.80  % (17348)------------------------------
% 0.71/0.81  % (17360)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.71/0.81  % (17343)First to succeed.
% 0.71/0.81  % (17360)Refutation not found, incomplete strategy% (17360)------------------------------
% 0.71/0.81  % (17360)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.81  % (17360)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.81  
% 0.71/0.81  % (17360)Memory used [KB]: 954
% 0.71/0.81  % (17360)Time elapsed: 0.003 s
% 0.71/0.81  % (17360)Instructions burned: 3 (million)
% 0.71/0.81  % (17343)Refutation found. Thanks to Tanya!
% 0.71/0.81  % SZS status Theorem for Vampire---4
% 0.71/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.81  % (17343)------------------------------
% 0.71/0.81  % (17343)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.81  % (17343)Termination reason: Refutation
% 0.71/0.81  
% 0.71/0.81  % (17343)Memory used [KB]: 1297
% 0.71/0.81  % (17343)Time elapsed: 0.029 s
% 0.71/0.81  % (17343)Instructions burned: 51 (million)
% 0.71/0.81  % (17343)------------------------------
% 0.71/0.81  % (17343)------------------------------
% 0.71/0.81  % (17291)Success in time 0.43 s
% 0.71/0.81  % Vampire---4.8 exiting
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