TSTP Solution File: NUN088+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUN088+1 : TPTP v8.1.0. Released v7.3.0.
% 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 : n023.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 18:07:50 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   27 (   9 unt;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   91 (  38   ~;  25   |;  25   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   43 (  30   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f232,plain,
    $false,
    inference(subsumption_resolution,[],[f228,f181]) ).

fof(f181,plain,
    r1(sK0),
    inference(subsumption_resolution,[],[f175,f83]) ).

fof(f83,plain,
    r1(sK2),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( r2(sK1,sK0)
    & r1(sK1)
    & r1(sK2)
    & id(sK2,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f40,f43,f42,f41]) ).

fof(f41,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( r2(X1,X0)
            & r1(X1) )
        & ? [X2] :
            ( r1(X2)
            & id(X2,X0) ) )
   => ( ? [X1] :
          ( r2(X1,sK0)
          & r1(X1) )
      & ? [X2] :
          ( r1(X2)
          & id(X2,sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ( ? [X1] :
        ( r2(X1,sK0)
        & r1(X1) )
   => ( r2(sK1,sK0)
      & r1(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ( ? [X2] :
        ( r1(X2)
        & id(X2,sK0) )
   => ( r1(sK2)
      & id(sK2,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ? [X0] :
      ( ? [X1] :
          ( r2(X1,X0)
          & r1(X1) )
      & ? [X2] :
          ( r1(X2)
          & id(X2,X0) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ? [X0] :
      ( ? [X2] :
          ( r2(X2,X0)
          & r1(X2) )
      & ? [X1] :
          ( r1(X1)
          & id(X1,X0) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X0] :
        ( ! [X1] :
            ( ~ r1(X1)
            | ~ id(X1,X0) )
        | ! [X2] :
            ( ~ r2(X2,X0)
            | ~ r1(X2) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X62] :
        ( ! [X45] :
            ( ~ r1(X45)
            | ~ id(X45,X62) )
        | ! [X46] :
            ( ~ r2(X46,X62)
            | ~ r1(X46) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X62] :
      ( ! [X45] :
          ( ~ r1(X45)
          | ~ id(X45,X62) )
      | ! [X46] :
          ( ~ r2(X46,X62)
          | ~ r1(X46) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerounidone) ).

fof(f175,plain,
    ( r1(sK0)
    | ~ r1(sK2) ),
    inference(resolution,[],[f130,f82]) ).

fof(f82,plain,
    id(sK2,sK0),
    inference(cnf_transformation,[],[f44]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ~ id(X1,X0)
      | ~ r1(X1)
      | r1(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ id(X1,X0)
      | ( ~ r1(X1)
        & ~ r1(X0) )
      | ( r1(X0)
        & r1(X1) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,plain,
    ! [X1,X0] :
      ( ~ id(X0,X1)
      | ( ~ r1(X0)
        & ~ r1(X1) )
      | ( r1(X1)
        & r1(X0) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X19,X20] :
      ( ( r1(X19)
        & r1(X20) )
      | ~ id(X19,X20)
      | ( ~ r1(X19)
        & ~ r1(X20) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f228,plain,
    ~ r1(sK0),
    inference(resolution,[],[f211,f125]) ).

fof(f125,plain,
    ! [X0] : id(X0,X0),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0] : id(X0,X0),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X13] : id(X13,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f211,plain,
    ! [X12] :
      ( ~ id(X12,sK0)
      | ~ r1(X12) ),
    inference(resolution,[],[f126,f85]) ).

fof(f85,plain,
    r2(sK1,sK0),
    inference(cnf_transformation,[],[f44]) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( ~ r2(X0,X1)
      | ~ id(X2,X1)
      | ~ r1(X2) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ id(X2,X1)
          | ~ r1(X2) )
      | ~ r2(X0,X1) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X64,X65] :
      ( ! [X66] :
          ( ~ r1(X66)
          | ~ id(X66,X65) )
      | ~ r2(X64,X65) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUN088+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13  % 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 : n023.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 10:13:20 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (24421)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)
% 0.18/0.49  % (24423)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (24420)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.50  % (24420)First to succeed.
% 0.18/0.50  % (24422)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (24421)Also succeeded, but the first one will report.
% 0.18/0.50  % (24422)Instruction limit reached!
% 0.18/0.50  % (24422)------------------------------
% 0.18/0.50  % (24422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (24422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (24422)Termination reason: Unknown
% 0.18/0.50  % (24422)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (24422)Memory used [KB]: 1535
% 0.18/0.50  % (24422)Time elapsed: 0.002 s
% 0.18/0.50  % (24422)Instructions burned: 3 (million)
% 0.18/0.50  % (24422)------------------------------
% 0.18/0.50  % (24422)------------------------------
% 0.18/0.50  % (24420)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Theorem for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (24420)------------------------------
% 0.18/0.50  % (24420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (24420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (24420)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (24420)Memory used [KB]: 6012
% 0.18/0.50  % (24420)Time elapsed: 0.102 s
% 0.18/0.50  % (24420)Instructions burned: 4 (million)
% 0.18/0.50  % (24420)------------------------------
% 0.18/0.50  % (24420)------------------------------
% 0.18/0.50  % (24415)Success in time 0.157 s
%------------------------------------------------------------------------------