TSTP Solution File: SWV383+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV383+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n029.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 18:56:40 EDT 2022

% Result   : Theorem 0.16s 0.52s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   6 unt;   0 def)
%            Number of atoms       :   82 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  101 (  42   ~;  22   |;  25   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   90 (  60   !;  30   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f218,plain,
    $false,
    inference(subsumption_resolution,[],[f217,f167]) ).

fof(f167,plain,
    succ_cpq(triple(sK2,sK0,sK1),triple(sK5,sK3,sK4)),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( succ_cpq(triple(sK2,sK0,sK1),triple(sK5,sK3,sK4))
    & check_cpq(triple(sK5,sK3,sK4))
    & ok(triple(sK5,sK3,sK4))
    & ~ check_cpq(triple(sK2,sK0,sK1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f120,f122,f121]) ).

fof(f121,plain,
    ( ? [X0,X1,X2] :
        ( ? [X3,X4,X5] :
            ( succ_cpq(triple(X2,X0,X1),triple(X5,X3,X4))
            & check_cpq(triple(X5,X3,X4))
            & ok(triple(X5,X3,X4)) )
        & ~ check_cpq(triple(X2,X0,X1)) )
   => ( ? [X5,X4,X3] :
          ( succ_cpq(triple(sK2,sK0,sK1),triple(X5,X3,X4))
          & check_cpq(triple(X5,X3,X4))
          & ok(triple(X5,X3,X4)) )
      & ~ check_cpq(triple(sK2,sK0,sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ( ? [X5,X4,X3] :
        ( succ_cpq(triple(sK2,sK0,sK1),triple(X5,X3,X4))
        & check_cpq(triple(X5,X3,X4))
        & ok(triple(X5,X3,X4)) )
   => ( succ_cpq(triple(sK2,sK0,sK1),triple(sK5,sK3,sK4))
      & check_cpq(triple(sK5,sK3,sK4))
      & ok(triple(sK5,sK3,sK4)) ) ),
    introduced(choice_axiom,[]) ).

fof(f120,plain,
    ? [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( succ_cpq(triple(X2,X0,X1),triple(X5,X3,X4))
          & check_cpq(triple(X5,X3,X4))
          & ok(triple(X5,X3,X4)) )
      & ~ check_cpq(triple(X2,X0,X1)) ),
    inference(rectify,[],[f96]) ).

fof(f96,plain,
    ? [X2,X0,X1] :
      ( ? [X5,X3,X4] :
          ( succ_cpq(triple(X1,X2,X0),triple(X4,X5,X3))
          & check_cpq(triple(X4,X5,X3))
          & ok(triple(X4,X5,X3)) )
      & ~ check_cpq(triple(X1,X2,X0)) ),
    inference(flattening,[],[f95]) ).

fof(f95,plain,
    ? [X0,X2,X1] :
      ( ? [X3,X5,X4] :
          ( ok(triple(X4,X5,X3))
          & check_cpq(triple(X4,X5,X3))
          & succ_cpq(triple(X1,X2,X0),triple(X4,X5,X3)) )
      & ~ check_cpq(triple(X1,X2,X0)) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ~ ! [X0,X2,X1] :
        ( ~ check_cpq(triple(X1,X2,X0))
       => ! [X3,X5,X4] :
            ( succ_cpq(triple(X1,X2,X0),triple(X4,X5,X3))
           => ( ~ ok(triple(X4,X5,X3))
              | ~ check_cpq(triple(X4,X5,X3)) ) ) ),
    inference(rectify,[],[f44]) ).

fof(f44,negated_conjecture,
    ~ ! [X2,X0,X1] :
        ( ~ check_cpq(triple(X0,X1,X2))
       => ! [X5,X3,X4] :
            ( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
           => ( ~ ok(triple(X3,X4,X5))
              | ~ check_cpq(triple(X3,X4,X5)) ) ) ),
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    ! [X2,X0,X1] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ! [X5,X3,X4] :
          ( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
         => ( ~ ok(triple(X3,X4,X5))
            | ~ check_cpq(triple(X3,X4,X5)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l19_co) ).

fof(f217,plain,
    ~ succ_cpq(triple(sK2,sK0,sK1),triple(sK5,sK3,sK4)),
    inference(resolution,[],[f216,f164]) ).

fof(f164,plain,
    ~ check_cpq(triple(sK2,sK0,sK1)),
    inference(cnf_transformation,[],[f123]) ).

fof(f216,plain,
    ! [X2,X0,X1] :
      ( check_cpq(triple(X0,X1,X2))
      | ~ succ_cpq(triple(X0,X1,X2),triple(sK5,sK3,sK4)) ),
    inference(subsumption_resolution,[],[f214,f166]) ).

fof(f166,plain,
    check_cpq(triple(sK5,sK3,sK4)),
    inference(cnf_transformation,[],[f123]) ).

fof(f214,plain,
    ! [X2,X0,X1] :
      ( check_cpq(triple(X0,X1,X2))
      | ~ succ_cpq(triple(X0,X1,X2),triple(sK5,sK3,sK4))
      | ~ check_cpq(triple(sK5,sK3,sK4)) ),
    inference(resolution,[],[f161,f165]) ).

fof(f165,plain,
    ok(triple(sK5,sK3,sK4)),
    inference(cnf_transformation,[],[f123]) ).

fof(f161,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ ok(triple(X4,X3,X5))
      | ~ check_cpq(triple(X4,X3,X5))
      | ~ succ_cpq(triple(X2,X1,X0),triple(X4,X3,X5))
      | check_cpq(triple(X2,X1,X0)) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ( check_cpq(triple(X2,X1,X0))
        & ok(triple(X2,X1,X0)) )
      | ! [X3,X4,X5] :
          ( ~ ok(triple(X4,X3,X5))
          | ~ check_cpq(triple(X4,X3,X5))
          | ~ succ_cpq(triple(X2,X1,X0),triple(X4,X3,X5)) ) ),
    inference(rectify,[],[f94]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( ( check_cpq(triple(X1,X0,X2))
        & ok(triple(X1,X0,X2)) )
      | ! [X4,X3,X5] :
          ( ~ ok(triple(X3,X4,X5))
          | ~ check_cpq(triple(X3,X4,X5))
          | ~ succ_cpq(triple(X1,X0,X2),triple(X3,X4,X5)) ) ),
    inference(flattening,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X5,X4] :
          ( ~ ok(triple(X3,X4,X5))
          | ~ check_cpq(triple(X3,X4,X5))
          | ~ succ_cpq(triple(X1,X0,X2),triple(X3,X4,X5)) )
      | ( check_cpq(triple(X1,X0,X2))
        & ok(triple(X1,X0,X2)) ) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( ( ~ check_cpq(triple(X1,X0,X2))
        | ~ ok(triple(X1,X0,X2)) )
     => ! [X3,X5,X4] :
          ( succ_cpq(triple(X1,X0,X2),triple(X3,X4,X5))
         => ( ~ ok(triple(X3,X4,X5))
            | ~ check_cpq(triple(X3,X4,X5)) ) ) ),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ! [X1,X0,X2] :
      ( ( ~ check_cpq(triple(X0,X1,X2))
        | ~ ok(triple(X0,X1,X2)) )
     => ! [X3,X4,X5] :
          ( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
         => ( ~ ok(triple(X3,X4,X5))
            | ~ check_cpq(triple(X3,X4,X5)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l19_l20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SWV383+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.33  % Computer : n029.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit   : 300
% 0.10/0.33  % WCLimit    : 300
% 0.10/0.33  % DateTime   : Tue Aug 30 19:30:57 EDT 2022
% 0.10/0.33  % CPUTime    : 
% 0.16/0.49  % (5091)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)
% 0.16/0.50  % (5090)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.50  % (5089)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.50  % (5082)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.51  % (5081)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51  % (5083)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.51  % (5083)Instruction limit reached!
% 0.16/0.51  % (5083)------------------------------
% 0.16/0.51  % (5083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (5083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (5083)Termination reason: Unknown
% 0.16/0.51  % (5083)Termination phase: Property scanning
% 0.16/0.51  
% 0.16/0.51  % (5083)Memory used [KB]: 1023
% 0.16/0.51  % (5083)Time elapsed: 0.004 s
% 0.16/0.51  % (5083)Instructions burned: 3 (million)
% 0.16/0.51  % (5083)------------------------------
% 0.16/0.51  % (5083)------------------------------
% 0.16/0.51  % (5100)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.51  % (5082)Instruction limit reached!
% 0.16/0.51  % (5082)------------------------------
% 0.16/0.51  % (5082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (5098)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.51  % (5082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (5082)Termination reason: Unknown
% 0.16/0.51  % (5082)Termination phase: Saturation
% 0.16/0.51  
% 0.16/0.51  % (5082)Memory used [KB]: 5500
% 0.16/0.51  % (5082)Time elapsed: 0.111 s
% 0.16/0.51  % (5082)Instructions burned: 7 (million)
% 0.16/0.51  % (5082)------------------------------
% 0.16/0.51  % (5082)------------------------------
% 0.16/0.51  TRYING [1]
% 0.16/0.51  % (5097)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.52  % (5097)First to succeed.
% 0.16/0.52  TRYING [2]
% 0.16/0.52  % (5097)Refutation found. Thanks to Tanya!
% 0.16/0.52  % SZS status Theorem for theBenchmark
% 0.16/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.52  % (5097)------------------------------
% 0.16/0.52  % (5097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (5097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (5097)Termination reason: Refutation
% 0.16/0.52  
% 0.16/0.52  % (5097)Memory used [KB]: 1023
% 0.16/0.52  % (5097)Time elapsed: 0.123 s
% 0.16/0.52  % (5097)Instructions burned: 4 (million)
% 0.16/0.52  % (5097)------------------------------
% 0.16/0.52  % (5097)------------------------------
% 0.16/0.52  % (5073)Success in time 0.185 s
%------------------------------------------------------------------------------