TSTP Solution File: RNG125+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG125+4 : 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 : n016.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 18:15:10 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   5 unt;   0 def)
%            Number of atoms       :   49 (  10 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   51 (  18   ~;  13   |;  18   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   2   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f463,plain,
    $false,
    inference(avatar_sat_refutation,[],[f430,f456,f461]) ).

fof(f461,plain,
    spl44_7,
    inference(avatar_split_clause,[],[f265,f448]) ).

fof(f448,plain,
    ( spl44_7
  <=> doDivides0(xu,xb) ),
    introduced(avatar_definition,[new_symbols(naming,[spl44_7])]) ).

fof(f265,plain,
    doDivides0(xu,xb),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ( ? [X0] :
        ( xb = sdtasdt0(xu,X0)
        & aElement0(X0) )
    & doDivides0(xu,xb) ),
    inference(flattening,[],[f49]) ).

fof(f49,axiom,
    ~ ~ ( ? [X0] :
            ( xb = sdtasdt0(xu,X0)
            & aElement0(X0) )
        & doDivides0(xu,xb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2612) ).

fof(f456,plain,
    ( ~ spl44_7
    | ~ spl44_2 ),
    inference(avatar_split_clause,[],[f176,f426,f448]) ).

fof(f426,plain,
    ( spl44_2
  <=> doDivides0(xu,xa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl44_2])]) ).

fof(f176,plain,
    ( ~ doDivides0(xu,xa)
    | ~ doDivides0(xu,xb) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ( ( ~ aDivisorOf0(xu,xb)
      & ! [X0] :
          ( xb != sdtasdt0(xu,X0)
          | ~ aElement0(X0) )
      & ~ doDivides0(xu,xb) )
    | ( ~ aDivisorOf0(xu,xa)
      & ! [X1] :
          ( xa != sdtasdt0(xu,X1)
          | ~ aElement0(X1) )
      & ~ doDivides0(xu,xa) ) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ~ ( ( doDivides0(xu,xb)
        | ? [X0] :
            ( xb = sdtasdt0(xu,X0)
            & aElement0(X0) )
        | aDivisorOf0(xu,xb) )
      & ( doDivides0(xu,xa)
        | aDivisorOf0(xu,xa)
        | ? [X1] :
            ( xa = sdtasdt0(xu,X1)
            & aElement0(X1) ) ) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ~ ( ( doDivides0(xu,xb)
        | ? [X0] :
            ( xb = sdtasdt0(xu,X0)
            & aElement0(X0) )
        | aDivisorOf0(xu,xb) )
      & ( aDivisorOf0(xu,xa)
        | doDivides0(xu,xa)
        | ? [X0] :
            ( aElement0(X0)
            & xa = sdtasdt0(xu,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2383) ).

fof(f430,plain,
    spl44_2,
    inference(avatar_split_clause,[],[f157,f426]) ).

fof(f157,plain,
    doDivides0(xu,xa),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( doDivides0(xu,xa)
    & ? [X0] :
        ( aElement0(X0)
        & xa = sdtasdt0(xu,X0) ) ),
    inference(flattening,[],[f48]) ).

fof(f48,axiom,
    ~ ~ ( doDivides0(xu,xa)
        & ? [X0] :
            ( aElement0(X0)
            & xa = sdtasdt0(xu,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2479) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : RNG125+4 : 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_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 12:38:16 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (15607)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.49  % (15599)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.49  % (15607)First to succeed.
% 0.19/0.50  % (15616)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.51  % (15607)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (15607)------------------------------
% 0.19/0.51  % (15607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (15607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (15607)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (15607)Memory used [KB]: 6140
% 0.19/0.51  % (15607)Time elapsed: 0.011 s
% 0.19/0.51  % (15607)Instructions burned: 9 (million)
% 0.19/0.51  % (15607)------------------------------
% 0.19/0.51  % (15607)------------------------------
% 0.19/0.51  % (15586)Success in time 0.164 s
%------------------------------------------------------------------------------