TSTP Solution File: NUM557+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM557+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n004.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 Aug 31 18:05:48 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   38 (   8 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   41 (  15   ~;   8   |;  14   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   4   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f471,plain,
    $false,
    inference(subsumption_resolution,[],[f470,f391]) ).

fof(f391,plain,
    aSubsetOf0(xP,xS),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,xP)
        | aElementOf0(X0,xS) )
    & aSubsetOf0(xP,xS)
    & xk = sbrdtbr0(xP) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,axiom,
    ( aSubsetOf0(xP,xS)
    & xk = sbrdtbr0(xP)
    & ! [X0] :
        ( aElementOf0(X0,xP)
       => aElementOf0(X0,xS) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2431) ).

fof(f470,plain,
    ~ aSubsetOf0(xP,xS),
    inference(subsumption_resolution,[],[f401,f390]) ).

fof(f390,plain,
    xk = sbrdtbr0(xP),
    inference(cnf_transformation,[],[f126]) ).

fof(f401,plain,
    ( xk != sbrdtbr0(xP)
    | ~ aSubsetOf0(xP,xS) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f241,plain,
    ( ( xk != sbrdtbr0(xP)
      | ( ~ aElementOf0(sK15,xS)
        & aElementOf0(sK15,xP)
        & ~ aSubsetOf0(xP,xS) ) )
    & ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f161,f240]) ).

fof(f240,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,xS)
        & aElementOf0(X0,xP) )
   => ( ~ aElementOf0(sK15,xS)
      & aElementOf0(sK15,xP) ) ),
    introduced(choice_axiom,[]) ).

fof(f161,plain,
    ( ( xk != sbrdtbr0(xP)
      | ( ? [X0] :
            ( ~ aElementOf0(X0,xS)
            & aElementOf0(X0,xP) )
        & ~ aSubsetOf0(xP,xS) ) )
    & ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,negated_conjecture,
    ~ ( aElementOf0(xP,slbdtsldtrb0(xS,xk))
      | ( xk = sbrdtbr0(xP)
        & ( ! [X0] :
              ( aElementOf0(X0,xP)
             => aElementOf0(X0,xS) )
          | aSubsetOf0(xP,xS) ) ) ),
    inference(negated_conjecture,[],[f73]) ).

fof(f73,conjecture,
    ( aElementOf0(xP,slbdtsldtrb0(xS,xk))
    | ( xk = sbrdtbr0(xP)
      & ( ! [X0] :
            ( aElementOf0(X0,xP)
           => aElementOf0(X0,xS) )
        | aSubsetOf0(xP,xS) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM557+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 06:59:34 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (22996)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50  % (22974)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.50  % (22988)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51  % (22985)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (22984)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (22980)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (22996)First to succeed.
% 0.19/0.52  % (22998)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (22990)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (22996)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (22996)------------------------------
% 0.19/0.52  % (22996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (22996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (22996)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (22996)Memory used [KB]: 1279
% 0.19/0.52  % (22996)Time elapsed: 0.075 s
% 0.19/0.52  % (22996)Instructions burned: 9 (million)
% 0.19/0.52  % (22996)------------------------------
% 0.19/0.52  % (22996)------------------------------
% 0.19/0.52  % (22973)Success in time 0.174 s
%------------------------------------------------------------------------------