TSTP Solution File: RNG101+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG101+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 0.18s 0.49s
% Output   : Refutation 0.18s
% 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(f287,plain,
    $false,
    inference(subsumption_resolution,[],[f285,f193]) ).

fof(f193,plain,
    aElement0(sK5),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( aElement0(xz)
    & aElement0(sK5)
    & xx = sdtasdt0(xc,sK5)
    & aElementOf0(xy,slsdtgt0(xc))
    & aElementOf0(xx,slsdtgt0(xc))
    & aElement0(sK6)
    & xy = sdtasdt0(xc,sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f60,f125,f124]) ).

fof(f124,plain,
    ( ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xx )
   => ( aElement0(sK5)
      & xx = sdtasdt0(xc,sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X1] :
        ( aElement0(X1)
        & xy = sdtasdt0(xc,X1) )
   => ( aElement0(sK6)
      & xy = sdtasdt0(xc,sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ( aElement0(xz)
    & ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xx )
    & aElementOf0(xy,slsdtgt0(xc))
    & aElementOf0(xx,slsdtgt0(xc))
    & ? [X1] :
        ( aElement0(X1)
        & xy = sdtasdt0(xc,X1) ) ),
    inference(rectify,[],[f39]) ).

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

fof(f285,plain,
    ~ aElement0(sK5),
    inference(trivial_inequality_removal,[],[f284]) ).

fof(f284,plain,
    ( ~ aElement0(sK5)
    | xx != xx ),
    inference(superposition,[],[f244,f192]) ).

fof(f192,plain,
    xx = sdtasdt0(xc,sK5),
    inference(cnf_transformation,[],[f126]) ).

fof(f244,plain,
    ! [X0] :
      ( sdtasdt0(xc,X0) != xx
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(xc,X0) != xx ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,negated_conjecture,
    ~ ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xx ),
    inference(negated_conjecture,[],[f40]) ).

fof(f40,conjecture,
    ? [X0] :
      ( aElement0(X0)
      & sdtasdt0(xc,X0) = xx ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : RNG101+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n017.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 11:32:20 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.44  % (32620)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.44  % (32620)Instruction limit reached!
% 0.18/0.44  % (32620)------------------------------
% 0.18/0.44  % (32620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.44  % (32620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.44  % (32620)Termination reason: Unknown
% 0.18/0.44  % (32620)Termination phase: Preprocessing 3
% 0.18/0.44  
% 0.18/0.44  % (32620)Memory used [KB]: 1023
% 0.18/0.44  % (32620)Time elapsed: 0.003 s
% 0.18/0.44  % (32620)Instructions burned: 3 (million)
% 0.18/0.44  % (32620)------------------------------
% 0.18/0.44  % (32620)------------------------------
% 0.18/0.46  % (32612)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)
% 0.18/0.47  % (32636)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.47  TRYING [1]
% 0.18/0.47  TRYING [2]
% 0.18/0.48  % (32628)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.48  % (32617)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)
% 0.18/0.49  % (32636)First to succeed.
% 0.18/0.49  % (32628)Also succeeded, but the first one will report.
% 0.18/0.49  % (32636)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Theorem for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49  % (32636)------------------------------
% 0.18/0.49  % (32636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (32636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (32636)Termination reason: Refutation
% 0.18/0.49  
% 0.18/0.49  % (32636)Memory used [KB]: 5628
% 0.18/0.49  % (32636)Time elapsed: 0.100 s
% 0.18/0.49  % (32636)Instructions burned: 8 (million)
% 0.18/0.49  % (32636)------------------------------
% 0.18/0.49  % (32636)------------------------------
% 0.18/0.49  % (32611)Success in time 0.147 s
%------------------------------------------------------------------------------