TSTP Solution File: NUM606+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM606+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 : 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 : Wed Aug 31 18:06:05 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (   6 unt;   0 def)
%            Number of atoms       :   70 (   6 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   70 (  25   ~;  13   |;  24   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   23 (  15   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1016,plain,
    $false,
    inference(subsumption_resolution,[],[f1015,f797]) ).

fof(f797,plain,
    ~ aElementOf0(sK59,szNzAzT0),
    inference(cnf_transformation,[],[f443]) ).

fof(f443,plain,
    ( ~ aSubsetOf0(xQ,szNzAzT0)
    & aElementOf0(sK59,xQ)
    & ~ aElementOf0(sK59,szNzAzT0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f201,f442]) ).

fof(f442,plain,
    ( ? [X0] :
        ( aElementOf0(X0,xQ)
        & ~ aElementOf0(X0,szNzAzT0) )
   => ( aElementOf0(sK59,xQ)
      & ~ aElementOf0(sK59,szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f201,plain,
    ( ~ aSubsetOf0(xQ,szNzAzT0)
    & ? [X0] :
        ( aElementOf0(X0,xQ)
        & ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,negated_conjecture,
    ~ ( ! [X0] :
          ( aElementOf0(X0,xQ)
         => aElementOf0(X0,szNzAzT0) )
      | aSubsetOf0(xQ,szNzAzT0) ),
    inference(negated_conjecture,[],[f101]) ).

fof(f101,conjecture,
    ( ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,szNzAzT0) )
    | aSubsetOf0(xQ,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f1015,plain,
    aElementOf0(sK59,szNzAzT0),
    inference(resolution,[],[f1013,f657]) ).

fof(f657,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xS)
      | aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0)
    & ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(X0,xS) )
    & aSet0(xS) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,xS)
       => aElementOf0(X0,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isCountable0(xS)
    & aSet0(xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).

fof(f1013,plain,
    aElementOf0(sK59,xS),
    inference(resolution,[],[f808,f1011]) ).

fof(f1011,plain,
    aElementOf0(sK59,xO),
    inference(resolution,[],[f600,f798]) ).

fof(f798,plain,
    aElementOf0(sK59,xQ),
    inference(cnf_transformation,[],[f443]) ).

fof(f600,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xQ)
      | aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f351,plain,
    ( slcrc0 != xQ
    & ! [X0] :
        ( ~ aElementOf0(X0,xQ)
        | aElementOf0(X0,xO) )
    & aElementOf0(sK36,xQ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f349,f350]) ).

fof(f350,plain,
    ( ? [X1] : aElementOf0(X1,xQ)
   => aElementOf0(sK36,xQ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ( slcrc0 != xQ
    & ! [X0] :
        ( ~ aElementOf0(X0,xQ)
        | aElementOf0(X0,xO) )
    & ? [X1] : aElementOf0(X1,xQ) ),
    inference(rectify,[],[f174]) ).

fof(f174,plain,
    ( slcrc0 != xQ
    & ! [X1] :
        ( ~ aElementOf0(X1,xQ)
        | aElementOf0(X1,xO) )
    & ? [X0] : aElementOf0(X0,xQ) ),
    inference(flattening,[],[f173]) ).

fof(f173,plain,
    ( slcrc0 != xQ
    & ? [X0] : aElementOf0(X0,xQ)
    & ! [X1] :
        ( ~ aElementOf0(X1,xQ)
        | aElementOf0(X1,xO) ) ),
    inference(ennf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ~ ( slcrc0 = xQ
        | ~ ? [X0] : aElementOf0(X0,xQ) )
    & ! [X1] :
        ( aElementOf0(X1,xQ)
       => aElementOf0(X1,xO) ) ),
    inference(rectify,[],[f100]) ).

fof(f100,axiom,
    ( ~ ( slcrc0 = xQ
        | ~ ? [X0] : aElementOf0(X0,xQ) )
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xO) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).

fof(f808,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xO)
      | aElementOf0(X0,xS) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f209,plain,
    ( aSubsetOf0(xO,xS)
    & ! [X0] :
        ( aElementOf0(X0,xS)
        | ~ aElementOf0(X0,xO) ) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,axiom,
    ( aSubsetOf0(xO,xS)
    & ! [X0] :
        ( aElementOf0(X0,xO)
       => aElementOf0(X0,xS) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM606+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n002.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   : Tue Aug 30 07:30:58 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  % (3727)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)
% 0.20/0.48  % (3720)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.48  % (3729)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.49  % (3719)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (3712)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)
% 0.20/0.49  % (3720)Instruction limit reached!
% 0.20/0.49  % (3720)------------------------------
% 0.20/0.49  % (3720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (3720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (3720)Termination reason: Unknown
% 0.20/0.49  % (3720)Termination phase: Preprocessing 1
% 0.20/0.49  
% 0.20/0.49  % (3720)Memory used [KB]: 1023
% 0.20/0.49  % (3720)Time elapsed: 0.003 s
% 0.20/0.49  % (3720)Instructions burned: 2 (million)
% 0.20/0.49  % (3720)------------------------------
% 0.20/0.49  % (3720)------------------------------
% 0.20/0.50  % (3735)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)
% 0.20/0.50  % (3719)Instruction limit reached!
% 0.20/0.50  % (3719)------------------------------
% 0.20/0.50  % (3719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (3719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (3719)Termination reason: Unknown
% 0.20/0.50  % (3719)Termination phase: Preprocessing 3
% 0.20/0.50  
% 0.20/0.50  % (3719)Memory used [KB]: 1407
% 0.20/0.50  % (3719)Time elapsed: 0.005 s
% 0.20/0.50  % (3719)Instructions burned: 7 (million)
% 0.20/0.50  % (3719)------------------------------
% 0.20/0.50  % (3719)------------------------------
% 0.20/0.52  % (3714)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (3727)First to succeed.
% 0.20/0.52  % (3725)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (3727)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (3727)------------------------------
% 0.20/0.52  % (3727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (3727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (3727)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (3727)Memory used [KB]: 1791
% 0.20/0.52  % (3727)Time elapsed: 0.127 s
% 0.20/0.52  % (3727)Instructions burned: 35 (million)
% 0.20/0.52  % (3727)------------------------------
% 0.20/0.52  % (3727)------------------------------
% 0.20/0.52  % (3711)Success in time 0.159 s
%------------------------------------------------------------------------------