TSTP Solution File: RNG095+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG095+2 : 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 : n026.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 18:15:48 EDT 2022

% Result   : Theorem 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :   61 (  14 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   58 (  19   ~;  13   |;  23   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (  13   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f241,plain,
    $false,
    inference(subsumption_resolution,[],[f240,f235]) ).

fof(f235,plain,
    aElementOf0(sK14(sz10),xJ),
    inference(resolution,[],[f126,f173]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | aElementOf0(sK14(X0),xJ) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ( aElementOf0(sK13(X0),xI)
        & aElementOf0(sK14(X0),xJ)
        & sdtpldt0(sK13(X0),sK14(X0)) = X0
        & aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f114,f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( aElementOf0(X1,xI)
          & aElementOf0(X2,xJ)
          & sdtpldt0(X1,X2) = X0 )
     => ( aElementOf0(sK13(X0),xI)
        & aElementOf0(sK14(X0),xJ)
        & sdtpldt0(sK13(X0),sK14(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ( ? [X1,X2] :
            ( aElementOf0(X1,xI)
            & aElementOf0(X2,xJ)
            & sdtpldt0(X1,X2) = X0 )
        & aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ( ? [X2,X1] :
            ( aElementOf0(X2,xI)
            & aElementOf0(X1,xJ)
            & sdtpldt0(X2,X1) = X0 )
        & aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( aElement0(X0)
     => ( ? [X2,X1] :
            ( aElementOf0(X2,xI)
            & aElementOf0(X1,xJ)
            & sdtpldt0(X2,X1) = X0 )
        & aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( aElementOf0(X0,sdtpldt1(xI,xJ))
        & ? [X2,X1] :
            ( aElementOf0(X1,xI)
            & aElementOf0(X2,xJ)
            & sdtpldt0(X1,X2) = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205_03) ).

fof(f126,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f240,plain,
    ~ aElementOf0(sK14(sz10),xJ),
    inference(subsumption_resolution,[],[f239,f234]) ).

fof(f234,plain,
    aElementOf0(sK13(sz10),xI),
    inference(resolution,[],[f126,f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | aElementOf0(sK13(X0),xI) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f239,plain,
    ( ~ aElementOf0(sK13(sz10),xI)
    | ~ aElementOf0(sK14(sz10),xJ) ),
    inference(trivial_inequality_removal,[],[f238]) ).

fof(f238,plain,
    ( sz10 != sz10
    | ~ aElementOf0(sK13(sz10),xI)
    | ~ aElementOf0(sK14(sz10),xJ) ),
    inference(superposition,[],[f165,f232]) ).

fof(f232,plain,
    sz10 = sdtpldt0(sK13(sz10),sK14(sz10)),
    inference(resolution,[],[f126,f172]) ).

fof(f172,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtpldt0(sK13(X0),sK14(X0)) = X0 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( sz10 != sdtpldt0(X0,X1)
      | ~ aElementOf0(X1,xJ)
      | ~ aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X0,xI)
      | sz10 != sdtpldt0(X0,X1)
      | ~ aElementOf0(X1,xJ) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,negated_conjecture,
    ~ ? [X1,X0] :
        ( sz10 = sdtpldt0(X0,X1)
        & aElementOf0(X1,xJ)
        & aElementOf0(X0,xI) ),
    inference(negated_conjecture,[],[f31]) ).

fof(f31,conjecture,
    ? [X1,X0] :
      ( sz10 = sdtpldt0(X0,X1)
      & aElementOf0(X1,xJ)
      & aElementOf0(X0,xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : RNG095+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 12:20:21 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.50  % (26702)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.51  % (26686)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51  % (26694)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.51  % (26685)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)
% 0.21/0.51  % (26679)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.51  % (26701)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.52  % (26678)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (26677)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (26683)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (26682)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53  % (26684)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (26697)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)
% 0.21/0.53  % (26680)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  % (26696)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)
% 0.21/0.54  % (26688)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)
% 0.21/0.54  % (26689)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)
% 0.21/0.54  % (26700)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)
% 0.21/0.54  % (26674)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)
% 0.21/0.54  % (26675)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (26681)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  % (26696)First to succeed.
% 0.21/0.55  % (26692)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55  % (26695)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55  % (26691)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  % (26696)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Theorem for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (26696)------------------------------
% 0.21/0.55  % (26696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (26696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (26696)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (26696)Memory used [KB]: 1023
% 0.21/0.55  % (26696)Time elapsed: 0.101 s
% 0.21/0.55  % (26696)Instructions burned: 6 (million)
% 0.21/0.55  % (26696)------------------------------
% 0.21/0.55  % (26696)------------------------------
% 0.21/0.55  % (26671)Success in time 0.199 s
%------------------------------------------------------------------------------