TSTP Solution File: NUM551+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM551+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 : n006.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 18:05:46 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (   6 unt;   0 def)
%            Number of atoms       :   50 (   6 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   46 (  18   ~;  10   |;  14   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   16 (  11   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f451,plain,
    $false,
    inference(subsumption_resolution,[],[f450,f426]) ).

fof(f426,plain,
    ~ aElement0(sK9),
    inference(resolution,[],[f296,f396]) ).

fof(f396,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xQ)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xQ)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,negated_conjecture,
    ~ ? [X0] :
        ( aElementOf0(X0,xQ)
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f68]) ).

fof(f68,conjecture,
    ? [X0] :
      ( aElementOf0(X0,xQ)
      & aElement0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f296,plain,
    aElementOf0(sK9,xQ),
    inference(cnf_transformation,[],[f201]) ).

fof(f201,plain,
    ( aElementOf0(sK9,xQ)
    & slcrc0 != xQ ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f101,f200]) ).

fof(f200,plain,
    ( ? [X0] : aElementOf0(X0,xQ)
   => aElementOf0(sK9,xQ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ( ? [X0] : aElementOf0(X0,xQ)
    & slcrc0 != xQ ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ~ ( slcrc0 = xQ
      | ~ ? [X0] : aElementOf0(X0,xQ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2313) ).

fof(f450,plain,
    aElement0(sK9),
    inference(subsumption_resolution,[],[f448,f301]) ).

fof(f301,plain,
    aSet0(xS),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    ( sz00 != xk
    & aSet0(xT)
    & aSet0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).

fof(f448,plain,
    ( ~ aSet0(xS)
    | aElement0(sK9) ),
    inference(resolution,[],[f293,f429]) ).

fof(f429,plain,
    aElementOf0(sK9,xS),
    inference(resolution,[],[f249,f296]) ).

fof(f249,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xQ)
      | aElementOf0(X0,xS) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( xk = sbrdtbr0(xQ)
    & aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & aSubsetOf0(xQ,xS)
    & aSet0(xQ)
    & ! [X0] :
        ( ~ aElementOf0(X0,xQ)
        | aElementOf0(X0,xS) ) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,axiom,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & aSubsetOf0(xQ,xS)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xS) )
    & xk = sbrdtbr0(xQ)
    & aSet0(xQ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).

fof(f293,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | ~ aSet0(X0)
      | aElement0(X1) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : NUM551+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 06:59:25 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.48  % (23779)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.48  % (23771)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49  % (23788)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.49  % (23771)Instruction limit reached!
% 0.19/0.49  % (23771)------------------------------
% 0.19/0.49  % (23771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (23787)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50  % (23782)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (23779)First to succeed.
% 0.19/0.50  % (23771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (23771)Termination reason: Unknown
% 0.19/0.50  % (23771)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (23771)Memory used [KB]: 5628
% 0.19/0.50  % (23771)Time elapsed: 0.007 s
% 0.19/0.50  % (23771)Instructions burned: 7 (million)
% 0.19/0.50  % (23771)------------------------------
% 0.19/0.50  % (23771)------------------------------
% 0.19/0.50  % (23786)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)
% 0.19/0.51  % (23779)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (23779)------------------------------
% 0.19/0.51  % (23779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (23779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (23779)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (23779)Memory used [KB]: 1279
% 0.19/0.51  % (23779)Time elapsed: 0.107 s
% 0.19/0.51  % (23779)Instructions burned: 13 (million)
% 0.19/0.51  % (23779)------------------------------
% 0.19/0.51  % (23779)------------------------------
% 0.19/0.51  % (23763)Success in time 0.167 s
%------------------------------------------------------------------------------