TSTP Solution File: NUM622+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM622+3 : TPTP v8.2.0. 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 : n025.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 : Tue May 21 01:43:49 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   40 (   7 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   33 (  10   ~;   6   |;  14   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1244,plain,
    $false,
    inference(subsumption_resolution,[],[f1243,f1211]) ).

fof(f1211,plain,
    aElementOf0(xp,sdtlpdtrp0(xN,xn)),
    inference(subsumption_resolution,[],[f1204,f772]) ).

fof(f772,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,axiom,
    ( xp = sdtlpdtrp0(xe,xn)
    & aElementOf0(xn,szNzAzT0)
    & aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & szDzizrdt0(xd) = sdtlpdtrp0(xd,xn)
    & aElementOf0(xn,szDzozmdt0(xd)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).

fof(f1204,plain,
    ( aElementOf0(xp,sdtlpdtrp0(xN,xn))
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(superposition,[],[f694,f773]) ).

fof(f773,plain,
    xp = sdtlpdtrp0(xe,xn),
    inference(cnf_transformation,[],[f111]) ).

fof(f694,plain,
    ! [X0] :
      ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ( ! [X0] :
        ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
          & ! [X1] :
              ( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
              | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
          & aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
          & ! [X1] :
              ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
             => sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
          & aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
    & szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).

fof(f1243,plain,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xn)),
    inference(resolution,[],[f788,f790]) ).

fof(f790,plain,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(flattening,[],[f120]) ).

fof(f120,negated_conjecture,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(negated_conjecture,[],[f119]) ).

fof(f119,conjecture,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f788,plain,
    ! [X0] :
      ( aElementOf0(X0,sdtlpdtrp0(xN,xm))
      | ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xm))
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,axiom,
    ( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xn))
       => aElementOf0(X0,sdtlpdtrp0(xN,xm)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5461) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NUM622+3 : TPTP v8.2.0. Released v4.0.0.
% 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
% 0.16/0.37  % Computer : n025.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon May 20 04:48:08 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_CAX_RFO_SEQ problem
% 0.16/0.37  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/benchmark/theBenchmark.p
% 0.60/0.75  % (6450)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.60/0.75  % (6449)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.75  % (6447)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 theBenchmark for (2996ds/34Mi)
% 0.60/0.75  % (6451)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 theBenchmark for (2996ds/34Mi)
% 0.60/0.75  % (6452)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.60/0.75  % (6448)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 theBenchmark for (2996ds/51Mi)
% 0.60/0.76  % (6454)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.60/0.76  % (6453)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 theBenchmark for (2996ds/83Mi)
% 0.60/0.77  % (6447)Instruction limit reached!
% 0.60/0.77  % (6447)------------------------------
% 0.60/0.77  % (6447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (6447)Termination reason: Unknown
% 0.60/0.77  % (6447)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (6447)Memory used [KB]: 1755
% 0.60/0.77  % (6447)Time elapsed: 0.019 s
% 0.60/0.77  % (6447)Instructions burned: 34 (million)
% 0.60/0.77  % (6447)------------------------------
% 0.60/0.77  % (6447)------------------------------
% 0.60/0.77  % (6451)Instruction limit reached!
% 0.60/0.77  % (6451)------------------------------
% 0.60/0.77  % (6451)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (6451)Termination reason: Unknown
% 0.60/0.77  % (6451)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (6451)Memory used [KB]: 1871
% 0.60/0.77  % (6451)Time elapsed: 0.019 s
% 0.60/0.77  % (6451)Instructions burned: 34 (million)
% 0.60/0.77  % (6451)------------------------------
% 0.60/0.77  % (6451)------------------------------
% 0.60/0.77  % (6455)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 theBenchmark for (2996ds/55Mi)
% 0.60/0.77  % (6456)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 theBenchmark for (2996ds/50Mi)
% 0.60/0.77  % (6454)Instruction limit reached!
% 0.60/0.77  % (6454)------------------------------
% 0.60/0.77  % (6454)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (6454)Termination reason: Unknown
% 0.60/0.78  % (6454)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (6454)Memory used [KB]: 2241
% 0.60/0.78  % (6454)Time elapsed: 0.020 s
% 0.60/0.78  % (6454)Instructions burned: 57 (million)
% 0.60/0.78  % (6454)------------------------------
% 0.60/0.78  % (6454)------------------------------
% 0.60/0.78  % (6452)Instruction limit reached!
% 0.60/0.78  % (6452)------------------------------
% 0.60/0.78  % (6452)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (6452)Termination reason: Unknown
% 0.60/0.78  % (6452)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (6452)Memory used [KB]: 1979
% 0.60/0.78  % (6452)Time elapsed: 0.026 s
% 0.60/0.78  % (6452)Instructions burned: 45 (million)
% 0.60/0.78  % (6452)------------------------------
% 0.60/0.78  % (6452)------------------------------
% 0.60/0.78  % (6457)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.60/0.78  % (6450)Instruction limit reached!
% 0.60/0.78  % (6450)------------------------------
% 0.60/0.78  % (6450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (6450)Termination reason: Unknown
% 0.60/0.78  % (6450)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (6450)Memory used [KB]: 1792
% 0.60/0.78  % (6450)Time elapsed: 0.021 s
% 0.60/0.78  % (6450)Instructions burned: 34 (million)
% 0.60/0.78  % (6450)------------------------------
% 0.60/0.78  % (6450)------------------------------
% 0.60/0.78  % (6448)Instruction limit reached!
% 0.60/0.78  % (6448)------------------------------
% 0.60/0.78  % (6448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (6448)Termination reason: Unknown
% 0.60/0.78  % (6448)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (6448)Memory used [KB]: 2091
% 0.60/0.78  % (6448)Time elapsed: 0.032 s
% 0.60/0.78  % (6448)Instructions burned: 51 (million)
% 0.60/0.78  % (6448)------------------------------
% 0.60/0.78  % (6448)------------------------------
% 0.60/0.78  % (6459)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 theBenchmark for (2996ds/518Mi)
% 0.60/0.79  % (6458)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 theBenchmark for (2996ds/52Mi)
% 0.60/0.79  % (6449)First to succeed.
% 0.60/0.79  % (6449)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6446"
% 0.60/0.79  % (6449)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for theBenchmark
% 0.60/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.79  % (6449)------------------------------
% 0.60/0.79  % (6449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (6449)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (6449)Memory used [KB]: 1822
% 0.60/0.79  % (6449)Time elapsed: 0.033 s
% 0.60/0.79  % (6449)Instructions burned: 52 (million)
% 0.60/0.79  % (6446)Success in time 0.401 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------