TSTP Solution File: NUM620+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM620+3 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n020.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 08:13:31 EDT 2024

% Result   : Theorem 0.56s 0.71s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   44 (   6 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   39 (  11   ~;   7   |;  15   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1223,plain,
    $false,
    inference(subsumption_resolution,[],[f1222,f782]) ).

fof(f782,plain,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
    & aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ) ),
    inference(flattening,[],[f180]) ).

fof(f180,plain,
    ( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
    & aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,negated_conjecture,
    ~ ( ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
        & ! [X0] :
            ( aElementOf0(X0,sdtlpdtrp0(xN,xm))
           => aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) )
     => aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(negated_conjecture,[],[f117]) ).

fof(f117,conjecture,
    ( ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
      & ! [X0] :
          ( aElementOf0(X0,sdtlpdtrp0(xN,xm))
         => aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) )
   => aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    file('/export/starexec/sandbox/tmp/tmp.0ZcXg8Zl0C/Vampire---4.8_27799',m__) ).

fof(f1222,plain,
    aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(forward_demodulation,[],[f1221,f778]) ).

fof(f778,plain,
    xx = sdtlpdtrp0(xe,xm),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,axiom,
    ( xx = sdtlpdtrp0(xe,xm)
    & aElementOf0(xm,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmp.0ZcXg8Zl0C/Vampire---4.8_27799',m__5389) ).

fof(f1221,plain,
    aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(subsumption_resolution,[],[f1213,f777]) ).

fof(f777,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[],[f115]) ).

fof(f1213,plain,
    ( ~ aElementOf0(xm,szNzAzT0)
    | aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(resolution,[],[f689,f780]) ).

fof(f780,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
      | aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f689,plain,
    ! [X0] :
      ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,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/sandbox/tmp/tmp.0ZcXg8Zl0C/Vampire---4.8_27799',m__4660) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUM620+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 15:14:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.0ZcXg8Zl0C/Vampire---4.8_27799
% 0.49/0.67  % (28048)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)
% 0.49/0.67  % (28050)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.49/0.67  % (28052)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)
% 0.49/0.67  % (28051)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)
% 0.49/0.67  % (28049)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)
% 0.49/0.67  % (28053)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)
% 0.49/0.68  % (28054)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)
% 0.49/0.68  % (28055)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)
% 0.49/0.68  % (28048)Instruction limit reached!
% 0.49/0.68  % (28048)------------------------------
% 0.49/0.68  % (28048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.68  % (28048)Termination reason: Unknown
% 0.49/0.68  % (28048)Termination phase: Saturation
% 0.49/0.68  
% 0.49/0.68  % (28048)Memory used [KB]: 1759
% 0.49/0.68  % (28048)Time elapsed: 0.012 s
% 0.49/0.68  % (28048)Instructions burned: 35 (million)
% 0.49/0.68  % (28048)------------------------------
% 0.49/0.68  % (28048)------------------------------
% 0.49/0.69  % (28056)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)
% 0.49/0.69  % (28052)Instruction limit reached!
% 0.49/0.69  % (28052)------------------------------
% 0.49/0.69  % (28052)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.69  % (28052)Termination reason: Unknown
% 0.49/0.69  % (28052)Termination phase: Saturation
% 0.49/0.69  
% 0.49/0.69  % (28052)Memory used [KB]: 1878
% 0.49/0.69  % (28052)Time elapsed: 0.019 s
% 0.49/0.69  % (28052)Instructions burned: 34 (million)
% 0.49/0.69  % (28052)------------------------------
% 0.49/0.69  % (28052)------------------------------
% 0.49/0.69  % (28051)Instruction limit reached!
% 0.49/0.69  % (28051)------------------------------
% 0.49/0.69  % (28051)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.69  % (28051)Termination reason: Unknown
% 0.49/0.69  % (28051)Termination phase: Saturation
% 0.49/0.69  
% 0.49/0.69  % (28051)Memory used [KB]: 1778
% 0.49/0.69  % (28051)Time elapsed: 0.020 s
% 0.49/0.69  % (28051)Instructions burned: 34 (million)
% 0.49/0.69  % (28051)------------------------------
% 0.49/0.69  % (28051)------------------------------
% 0.49/0.70  % (28058)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)
% 0.49/0.70  % (28057)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)
% 0.56/0.70  % (28053)Instruction limit reached!
% 0.56/0.70  % (28053)------------------------------
% 0.56/0.70  % (28053)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.70  % (28053)Termination reason: Unknown
% 0.56/0.70  % (28053)Termination phase: Saturation
% 0.56/0.70  
% 0.56/0.70  % (28053)Memory used [KB]: 1983
% 0.56/0.70  % (28053)Time elapsed: 0.027 s
% 0.56/0.70  % (28053)Instructions burned: 46 (million)
% 0.56/0.70  % (28053)------------------------------
% 0.56/0.70  % (28053)------------------------------
% 0.56/0.70  % (28056)Instruction limit reached!
% 0.56/0.70  % (28056)------------------------------
% 0.56/0.70  % (28056)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.70  % (28056)Termination reason: Unknown
% 0.56/0.70  % (28056)Termination phase: Property scanning
% 0.56/0.70  
% 0.56/0.70  % (28056)Memory used [KB]: 2449
% 0.56/0.70  % (28056)Time elapsed: 0.014 s
% 0.56/0.70  % (28056)Instructions burned: 57 (million)
% 0.56/0.70  % (28056)------------------------------
% 0.56/0.70  % (28056)------------------------------
% 0.56/0.70  % (28059)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)
% 0.56/0.70  % (28050)First to succeed.
% 0.56/0.70  % (28050)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28038"
% 0.56/0.70  % (28049)Instruction limit reached!
% 0.56/0.70  % (28049)------------------------------
% 0.56/0.70  % (28049)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.70  % (28049)Termination reason: Unknown
% 0.56/0.70  % (28049)Termination phase: Saturation
% 0.56/0.70  
% 0.56/0.70  % (28049)Memory used [KB]: 2073
% 0.56/0.70  % (28049)Time elapsed: 0.032 s
% 0.56/0.70  % (28049)Instructions burned: 51 (million)
% 0.56/0.70  % (28049)------------------------------
% 0.56/0.70  % (28049)------------------------------
% 0.56/0.71  % (28050)Refutation found. Thanks to Tanya!
% 0.56/0.71  % SZS status Theorem for Vampire---4
% 0.56/0.71  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.71  % (28050)------------------------------
% 0.56/0.71  % (28050)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.71  % (28050)Termination reason: Refutation
% 0.56/0.71  
% 0.56/0.71  % (28050)Memory used [KB]: 1819
% 0.56/0.71  % (28050)Time elapsed: 0.031 s
% 0.56/0.71  % (28050)Instructions burned: 50 (million)
% 0.56/0.71  % (28038)Success in time 0.347 s
% 0.56/0.71  % Vampire---4.8 exiting
%------------------------------------------------------------------------------