TSTP Solution File: NUM343+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 08:18:49 EDT 2024

% Result   : Theorem 0.15s 0.35s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   32 (   6 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   35 (  14   ~;   7   |;  11   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   14 (  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f885,plain,
    $false,
    inference(resolution,[],[f883,f477]) ).

fof(f477,plain,
    ! [X0] : less(X0,n1),
    inference(cnf_transformation,[],[f427]) ).

fof(f427,plain,
    ! [X0] :
      ( ~ sum(n21,X0,n21)
      & less(X0,n1)
      & less(nn1,X0) ),
    inference(flattening,[],[f426]) ).

fof(f426,plain,
    ! [X0] :
      ( ~ sum(n21,X0,n21)
      & less(X0,n1)
      & less(nn1,X0) ),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] :
        ( ( less(X0,n1)
          & less(nn1,X0) )
       => sum(n21,X0,n21) ),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] :
      ( ( less(X0,n1)
        & less(nn1,X0) )
     => sum(n21,X0,n21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_something_n0_samething) ).

fof(f883,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f857]) ).

fof(f857,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f474]) ).

fof(f474,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) )
      & ( ( X0 != X1
          & ~ less(X1,X0) )
        | ~ less(X0,X1) ) ),
    inference(flattening,[],[f473]) ).

fof(f473,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) )
      & ( ( X0 != X1
          & ~ less(X1,X0) )
        | ~ less(X0,X1) ) ),
    inference(nnf_transformation,[],[f284]) ).

fof(f284,axiom,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ( X0 != X1
        & ~ less(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n002.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 14:36:37 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.15/0.31  % (389)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33  % (392)WARNING: value z3 for option sas not known
% 0.15/0.33  % (395)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)
% 0.15/0.33  % (391)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33  % (392)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)
% 0.15/0.34  % (393)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.34  % (394)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)
% 0.15/0.34  % (396)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)
% 0.15/0.34  % (390)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.34  % (392)First to succeed.
% 0.15/0.34  % (394)Also succeeded, but the first one will report.
% 0.15/0.34  % (392)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-389"
% 0.15/0.34  % (395)Also succeeded, but the first one will report.
% 0.15/0.35  % (392)Refutation found. Thanks to Tanya!
% 0.15/0.35  % SZS status Theorem for theBenchmark
% 0.15/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.35  % (392)------------------------------
% 0.15/0.35  % (392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.35  % (392)Termination reason: Refutation
% 0.15/0.35  
% 0.15/0.35  % (392)Memory used [KB]: 1267
% 0.15/0.35  % (392)Time elapsed: 0.011 s
% 0.15/0.35  % (392)Instructions burned: 29 (million)
% 0.15/0.35  % (389)Success in time 0.028 s
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