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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n003.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 18:14:56 EDT 2022

% Result   : Theorem 0.21s 0.58s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   4 unt;   0 def)
%            Number of atoms       :   60 (  15 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   66 (  26   ~;  18   |;  20   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 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   :   29 (  17   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f424,plain,
    $false,
    inference(subsumption_resolution,[],[f423,f156]) ).

fof(f156,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f423,plain,
    ~ aElement0(sz10),
    inference(equality_resolution,[],[f422]) ).

fof(f422,plain,
    ! [X4] :
      ( sz10 != X4
      | ~ aElement0(X4) ),
    inference(subsumption_resolution,[],[f421,f139]) ).

fof(f139,plain,
    ! [X0] :
      ( aElementOf0(sK3(X0),xI)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ( sdtpldt0(sK3(X0),sK2(X0)) = X0
        & aElementOf0(sK2(X0),xJ)
        & aElementOf0(sK3(X0),xI)
        & aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f91,f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( sdtpldt0(X2,X1) = X0
          & aElementOf0(X1,xJ)
          & aElementOf0(X2,xI) )
     => ( sdtpldt0(sK3(X0),sK2(X0)) = X0
        & aElementOf0(sK2(X0),xJ)
        & aElementOf0(sK3(X0),xI) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ( ? [X1,X2] :
            ( sdtpldt0(X2,X1) = X0
            & aElementOf0(X1,xJ)
            & aElementOf0(X2,xI) )
        & aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
    inference(rectify,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ( ? [X2,X1] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,xJ)
            & aElementOf0(X1,xI) )
        & aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
    inference(ennf_transformation,[],[f29]) ).

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

fof(f421,plain,
    ! [X4] :
      ( sz10 != X4
      | ~ aElementOf0(sK3(X4),xI)
      | ~ aElement0(X4) ),
    inference(subsumption_resolution,[],[f418,f140]) ).

fof(f140,plain,
    ! [X0] :
      ( aElementOf0(sK2(X0),xJ)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f418,plain,
    ! [X4] :
      ( sz10 != X4
      | ~ aElementOf0(sK2(X4),xJ)
      | ~ aElementOf0(sK3(X4),xI)
      | ~ aElement0(X4) ),
    inference(superposition,[],[f149,f141]) ).

fof(f141,plain,
    ! [X0] :
      ( sdtpldt0(sK3(X0),sK2(X0)) = X0
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( sz10 != sdtpldt0(X1,X0)
      | ~ aElementOf0(X1,xI)
      | ~ aElementOf0(X0,xJ) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,xI)
      | sz10 != sdtpldt0(X1,X0)
      | ~ aElementOf0(X0,xJ) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X1,X0] :
      ( ~ 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(X0,xI)
        & aElementOf0(X1,xJ) ),
    inference(negated_conjecture,[],[f31]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : RNG095+2 : 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_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n003.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 12:07:07 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.53  % (19650)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.55  % (19672)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.56  % (19649)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.56  % (19663)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56  % (19650)Instruction limit reached!
% 0.21/0.56  % (19650)------------------------------
% 0.21/0.56  % (19650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (19650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (19650)Termination reason: Unknown
% 0.21/0.56  % (19650)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (19650)Memory used [KB]: 6268
% 0.21/0.56  % (19650)Time elapsed: 0.126 s
% 0.21/0.56  % (19650)Instructions burned: 13 (million)
% 0.21/0.56  % (19650)------------------------------
% 0.21/0.56  % (19650)------------------------------
% 0.21/0.56  % (19663)Instruction limit reached!
% 0.21/0.56  % (19663)------------------------------
% 0.21/0.56  % (19663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (19663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (19663)Termination reason: Unknown
% 0.21/0.56  % (19663)Termination phase: Property scanning
% 0.21/0.56  
% 0.21/0.56  % (19663)Memory used [KB]: 1535
% 0.21/0.56  % (19663)Time elapsed: 0.006 s
% 0.21/0.56  % (19663)Instructions burned: 3 (million)
% 0.21/0.56  % (19663)------------------------------
% 0.21/0.56  % (19663)------------------------------
% 0.21/0.56  % (19657)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.57  % (19655)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.57  % (19667)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.57  % (19667)Instruction limit reached!
% 0.21/0.57  % (19667)------------------------------
% 0.21/0.57  % (19667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (19667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (19667)Termination reason: Unknown
% 0.21/0.57  % (19667)Termination phase: Preprocessing 1
% 0.21/0.57  
% 0.21/0.57  % (19667)Memory used [KB]: 1407
% 0.21/0.57  % (19667)Time elapsed: 0.002 s
% 0.21/0.57  % (19667)Instructions burned: 2 (million)
% 0.21/0.57  % (19667)------------------------------
% 0.21/0.57  % (19667)------------------------------
% 0.21/0.57  % (19664)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.58  % (19649)First to succeed.
% 0.21/0.58  % (19649)Refutation found. Thanks to Tanya!
% 0.21/0.58  % SZS status Theorem for theBenchmark
% 0.21/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58  % (19649)------------------------------
% 0.21/0.58  % (19649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (19649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (19649)Termination reason: Refutation
% 0.21/0.58  
% 0.21/0.58  % (19649)Memory used [KB]: 6140
% 0.21/0.58  % (19649)Time elapsed: 0.150 s
% 0.21/0.58  % (19649)Instructions burned: 9 (million)
% 0.21/0.58  % (19649)------------------------------
% 0.21/0.58  % (19649)------------------------------
% 0.21/0.58  % (19648)Success in time 0.223 s
%------------------------------------------------------------------------------