TSTP Solution File: RNG102+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG102+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 : n017.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 18:15:50 EDT 2022

% Result   : Theorem 1.33s 0.67s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   43 (  16 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   37 (   8   ~;   3   |;  24   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (   2   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f311,plain,
    $false,
    inference(subsumption_resolution,[],[f310,f200]) ).

fof(f200,plain,
    aElement0(sK8),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( aElement0(sK7)
    & xx = sdtasdt0(xc,sK7)
    & aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz)
    & xy = sdtasdt0(xc,sK8)
    & aElement0(sK8)
    & aElementOf0(xx,slsdtgt0(xc)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f46,f133,f132]) ).

fof(f132,plain,
    ( ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xx )
   => ( aElement0(sK7)
      & xx = sdtasdt0(xc,sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ( ? [X1] :
        ( xy = sdtasdt0(xc,X1)
        & aElement0(X1) )
   => ( xy = sdtasdt0(xc,sK8)
      & aElement0(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ( ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xx )
    & aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz)
    & ? [X1] :
        ( xy = sdtasdt0(xc,X1)
        & aElement0(X1) )
    & aElementOf0(xx,slsdtgt0(xc)) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ( aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz)
    & ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xx )
    & aElementOf0(xx,slsdtgt0(xc))
    & ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xy ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).

fof(f310,plain,
    ~ aElement0(sK8),
    inference(trivial_inequality_removal,[],[f309]) ).

fof(f309,plain,
    ( ~ aElement0(sK8)
    | xy != xy ),
    inference(superposition,[],[f214,f201]) ).

fof(f201,plain,
    xy = sdtasdt0(xc,sK8),
    inference(cnf_transformation,[],[f134]) ).

fof(f214,plain,
    ! [X0] :
      ( sdtasdt0(xc,X0) != xy
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(xc,X0) != xy ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,negated_conjecture,
    ~ ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xy ),
    inference(negated_conjecture,[],[f41]) ).

fof(f41,conjecture,
    ? [X0] :
      ( aElement0(X0)
      & sdtasdt0(xc,X0) = xy ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : RNG102+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n017.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 11:32:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.36  ipcrm: permission denied for id (459014145)
% 0.21/0.38  ipcrm: permission denied for id (459046925)
% 0.21/0.41  ipcrm: permission denied for id (459243561)
% 0.21/0.41  ipcrm: permission denied for id (459276331)
% 0.21/0.43  ipcrm: permission denied for id (459407418)
% 0.21/0.44  ipcrm: permission denied for id (459440195)
% 0.21/0.45  ipcrm: permission denied for id (459505742)
% 0.21/0.49  ipcrm: permission denied for id (459636851)
% 0.74/0.64  % (32020)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 (2998ds/37Mi)
% 1.33/0.66  % (32027)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 (2998ds/51Mi)
% 1.33/0.66  % (32043)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.33/0.66  % (32020)First to succeed.
% 1.33/0.66  % (32035)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.33/0.67  TRYING [1]
% 1.33/0.67  % (32020)Refutation found. Thanks to Tanya!
% 1.33/0.67  % SZS status Theorem for theBenchmark
% 1.33/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.67  % (32020)------------------------------
% 1.33/0.67  % (32020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.67  % (32020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.67  % (32020)Termination reason: Refutation
% 1.33/0.67  
% 1.33/0.67  % (32020)Memory used [KB]: 1151
% 1.33/0.67  % (32020)Time elapsed: 0.108 s
% 1.33/0.67  % (32020)Instructions burned: 7 (million)
% 1.33/0.67  % (32020)------------------------------
% 1.33/0.67  % (32020)------------------------------
% 1.33/0.67  % (31884)Success in time 0.318 s
%------------------------------------------------------------------------------