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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM620+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 08:40:20 EDT 2024

% Result   : Theorem 0.21s 0.42s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            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 :   41 (  13   ~;   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(f1357,plain,
    $false,
    inference(resolution,[],[f1356,f709]) ).

fof(f709,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,axiom,
    ( xx = sdtlpdtrp0(xe,xm)
    & aElementOf0(xm,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).

fof(f1356,plain,
    ~ aElementOf0(xm,szNzAzT0),
    inference(resolution,[],[f1349,f1131]) ).

fof(f1131,plain,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,xm)),
    inference(resolution,[],[f578,f580]) ).

fof(f580,plain,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,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,[],[f141]) ).

fof(f141,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/benchmark/theBenchmark.p',m__) ).

fof(f578,plain,
    ! [X0] :
      ( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
      | ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f1349,plain,
    ( aElementOf0(xx,sdtlpdtrp0(xN,xm))
    | ~ aElementOf0(xm,szNzAzT0) ),
    inference(superposition,[],[f594,f710]) ).

fof(f710,plain,
    xx = sdtlpdtrp0(xe,xm),
    inference(cnf_transformation,[],[f115]) ).

fof(f594,plain,
    ! [X0] :
      ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,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/benchmark/theBenchmark.p',m__4660) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM620+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 15:14:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (8245)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (8248)WARNING: value z3 for option sas not known
% 0.15/0.38  % (8247)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (8249)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (8246)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (8251)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38  % (8248)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (8252)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38  % (8250)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.42  % (8251)First to succeed.
% 0.21/0.42  % (8251)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8245"
% 0.21/0.42  % (8251)Refutation found. Thanks to Tanya!
% 0.21/0.42  % SZS status Theorem for theBenchmark
% 0.21/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42  % (8251)------------------------------
% 0.21/0.42  % (8251)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.42  % (8251)Termination reason: Refutation
% 0.21/0.42  
% 0.21/0.42  % (8251)Memory used [KB]: 1807
% 0.21/0.42  % (8251)Time elapsed: 0.036 s
% 0.21/0.42  % (8251)Instructions burned: 58 (million)
% 0.21/0.42  % (8245)Success in time 0.06 s
%------------------------------------------------------------------------------