TSTP Solution File: RNG070+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG070+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 : 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 18:14:47 EDT 2022

% Result   : Theorem 1.19s 0.53s
% Output   : Refutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   38 (  12 unt;   0 def)
%            Number of atoms       :   82 (   3 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   77 (  33   ~;  33   |;   6   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f393,plain,
    $false,
    inference(avatar_sat_refutation,[],[f384,f388,f392]) ).

fof(f392,plain,
    spl2_13,
    inference(avatar_contradiction_clause,[],[f391]) ).

fof(f391,plain,
    ( $false
    | spl2_13 ),
    inference(subsumption_resolution,[],[f390,f197]) ).

fof(f197,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,axiom,
    ( aScalar0(xP)
    & xP = sdtasdt0(xE,xH) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).

fof(f390,plain,
    ( ~ aScalar0(xP)
    | spl2_13 ),
    inference(duplicate_literal_removal,[],[f389]) ).

fof(f389,plain,
    ( ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | spl2_13 ),
    inference(resolution,[],[f381,f158]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X1,X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | aScalar0(sdtpldt0(X1,X0)) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X1,X0] :
      ( aScalar0(sdtpldt0(X1,X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X1,X0] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtpldt0(X1,X0)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X0] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).

fof(f381,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | spl2_13 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f379,plain,
    ( spl2_13
  <=> aScalar0(sdtpldt0(xP,xP)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f388,plain,
    spl2_12,
    inference(avatar_contradiction_clause,[],[f387]) ).

fof(f387,plain,
    ( $false
    | spl2_12 ),
    inference(subsumption_resolution,[],[f386,f204]) ).

fof(f204,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,axiom,
    ( aScalar0(xR)
    & xR = sdtasdt0(xC,xG) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).

fof(f386,plain,
    ( ~ aScalar0(xR)
    | spl2_12 ),
    inference(subsumption_resolution,[],[f385,f189]) ).

fof(f189,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,axiom,
    ( aScalar0(xS)
    & xS = sdtasdt0(xF,xD) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).

fof(f385,plain,
    ( ~ aScalar0(xS)
    | ~ aScalar0(xR)
    | spl2_12 ),
    inference(resolution,[],[f377,f158]) ).

fof(f377,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | spl2_12 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl2_12
  <=> aScalar0(sdtpldt0(xR,xS)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f384,plain,
    ( ~ spl2_12
    | ~ spl2_13 ),
    inference(avatar_split_clause,[],[f383,f379,f375]) ).

fof(f383,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(subsumption_resolution,[],[f369,f221]) ).

fof(f221,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2590) ).

fof(f369,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
    inference(resolution,[],[f194,f190]) ).

fof(f190,plain,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(flattening,[],[f62]) ).

fof(f62,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(negated_conjecture,[],[f61]) ).

fof(f61,conjecture,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f194,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | sdtlseqdt0(X0,X1)
      | sdtlseqdt0(X1,X0)
      | ~ aScalar0(X1) ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X1,X0] :
      ( ~ aScalar0(X1)
      | sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : RNG070+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 : 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 12:16:14 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.51  % (3147)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.51  % (3139)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)
% 0.20/0.51  % (3139)Instruction limit reached!
% 0.20/0.51  % (3139)------------------------------
% 0.20/0.51  % (3139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (3139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (3139)Termination reason: Unknown
% 0.20/0.51  % (3139)Termination phase: Equality resolution with deletion
% 0.20/0.51  
% 0.20/0.51  % (3139)Memory used [KB]: 1535
% 0.20/0.51  % (3139)Time elapsed: 0.004 s
% 0.20/0.51  % (3139)Instructions burned: 3 (million)
% 0.20/0.51  % (3139)------------------------------
% 0.20/0.51  % (3139)------------------------------
% 0.20/0.51  % (3131)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)
% 1.19/0.52  % (3131)First to succeed.
% 1.19/0.53  % (3131)Refutation found. Thanks to Tanya!
% 1.19/0.53  % SZS status Theorem for theBenchmark
% 1.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.53  % (3131)------------------------------
% 1.19/0.53  % (3131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.53  % (3131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.53  % (3131)Termination reason: Refutation
% 1.19/0.53  
% 1.19/0.53  % (3131)Memory used [KB]: 6140
% 1.19/0.53  % (3131)Time elapsed: 0.068 s
% 1.19/0.53  % (3131)Instructions burned: 9 (million)
% 1.19/0.53  % (3131)------------------------------
% 1.19/0.53  % (3131)------------------------------
% 1.19/0.53  % (3124)Success in time 0.167 s
%------------------------------------------------------------------------------