TSTP Solution File: NUM615+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM615+1 : 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 : n019.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 18:06:08 EDT 2022

% Result   : Theorem 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   42 (  16 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   36 (  14   ~;   8   |;  12   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   15 (  10   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f637,plain,
    $false,
    inference(subsumption_resolution,[],[f636,f626]) ).

fof(f626,plain,
    szmzizndt0(xQ) = sdtlpdtrp0(xe,sK9(szmzizndt0(xQ))),
    inference(resolution,[],[f392,f613]) ).

fof(f613,plain,
    aElementOf0(szmzizndt0(xQ),xO),
    inference(backward_demodulation,[],[f435,f566]) ).

fof(f566,plain,
    xp = szmzizndt0(xQ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,axiom,
    xp = szmzizndt0(xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).

fof(f435,plain,
    aElementOf0(xp,xO),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,axiom,
    aElementOf0(xp,xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5182) ).

fof(f392,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xO)
      | sdtlpdtrp0(xe,sK9(X0)) = X0 ),
    inference(cnf_transformation,[],[f283]) ).

fof(f283,plain,
    ! [X0] :
      ( ( sdtlpdtrp0(xe,sK9(X0)) = X0
        & aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & aElementOf0(sK9(X0),szNzAzT0) )
      | ~ aElementOf0(X0,xO) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f170,f282]) ).

fof(f282,plain,
    ! [X0] :
      ( ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) )
     => ( sdtlpdtrp0(xe,sK9(X0)) = X0
        & aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & aElementOf0(sK9(X0),szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f170,plain,
    ! [X0] :
      ( ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) )
      | ~ aElementOf0(X0,xO) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,axiom,
    ! [X0] :
      ( aElementOf0(X0,xO)
     => ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).

fof(f636,plain,
    szmzizndt0(xQ) != sdtlpdtrp0(xe,sK9(szmzizndt0(xQ))),
    inference(resolution,[],[f633,f613]) ).

fof(f633,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xO)
      | szmzizndt0(xQ) != sdtlpdtrp0(xe,sK9(X0)) ),
    inference(resolution,[],[f629,f391]) ).

fof(f391,plain,
    ! [X0] :
      ( aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f283]) ).

fof(f629,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      | sdtlpdtrp0(xe,X0) != szmzizndt0(xQ) ),
    inference(forward_demodulation,[],[f565,f566]) ).

fof(f565,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      | sdtlpdtrp0(xe,X0) != xp ),
    inference(cnf_transformation,[],[f218]) ).

fof(f218,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xp
      | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,negated_conjecture,
    ~ ? [X0] :
        ( sdtlpdtrp0(xe,X0) = xp
        & aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(negated_conjecture,[],[f111]) ).

fof(f111,conjecture,
    ? [X0] :
      ( sdtlpdtrp0(xe,X0) = xp
      & aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM615+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35  % Computer : n019.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   : Tue Aug 30 07:26:05 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.52  % (29569)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)
% 0.21/0.52  % (29561)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)
% 0.21/0.53  % (29553)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)
% 0.21/0.54  % (29560)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54  % (29551)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (29549)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)
% 0.21/0.54  % (29569)First to succeed.
% 0.21/0.54  % (29575)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54  % (29554)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54  % (29569)Refutation found. Thanks to Tanya!
% 0.21/0.54  % SZS status Theorem for theBenchmark
% 0.21/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54  % (29569)------------------------------
% 0.21/0.54  % (29569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (29569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (29569)Termination reason: Refutation
% 0.21/0.54  
% 0.21/0.54  % (29569)Memory used [KB]: 1407
% 0.21/0.54  % (29569)Time elapsed: 0.075 s
% 0.21/0.54  % (29569)Instructions burned: 15 (million)
% 0.21/0.54  % (29569)------------------------------
% 0.21/0.54  % (29569)------------------------------
% 0.21/0.54  % (29546)Success in time 0.187 s
%------------------------------------------------------------------------------