TSTP Solution File: SWC203+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC203+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n008.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 18:42:23 EDT 2022

% Result   : Theorem 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   9 unt;   0 def)
%            Number of atoms       :  114 (  44 equ)
%            Maximal formula atoms :   18 (   6 avg)
%            Number of connectives :  117 (  21   ~;   8   |;  76   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   32 (   8   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f595,plain,
    $false,
    inference(subsumption_resolution,[],[f594,f549]) ).

fof(f549,plain,
    ~ neq(sK53,nil),
    inference(cnf_transformation,[],[f347]) ).

fof(f347,plain,
    ( ssList(sK54)
    & ssList(sK55)
    & ~ neq(sK53,nil)
    & ssList(sK56)
    & sK55 = sK56
    & sK53 = sK55
    & sK54 = sK56
    & neq(sK54,nil)
    & ssList(sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56])],[f105,f346,f345,f344,f343]) ).

fof(f343,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ~ neq(X0,nil)
                    & ssList(X3)
                    & X2 = X3
                    & X0 = X2
                    & X1 = X3
                    & neq(X1,nil) ) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ~ neq(sK53,nil)
                  & ssList(X3)
                  & X2 = X3
                  & sK53 = X2
                  & X1 = X3
                  & neq(X1,nil) ) ) )
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ~ neq(sK53,nil)
                & ssList(X3)
                & X2 = X3
                & sK53 = X2
                & X1 = X3
                & neq(X1,nil) ) ) )
   => ( ssList(sK54)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ~ neq(sK53,nil)
              & ssList(X3)
              & X2 = X3
              & sK53 = X2
              & sK54 = X3
              & neq(sK54,nil) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ~ neq(sK53,nil)
            & ssList(X3)
            & X2 = X3
            & sK53 = X2
            & sK54 = X3
            & neq(sK54,nil) ) )
   => ( ssList(sK55)
      & ? [X3] :
          ( ~ neq(sK53,nil)
          & ssList(X3)
          & sK55 = X3
          & sK53 = sK55
          & sK54 = X3
          & neq(sK54,nil) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ( ? [X3] :
        ( ~ neq(sK53,nil)
        & ssList(X3)
        & sK55 = X3
        & sK53 = sK55
        & sK54 = X3
        & neq(sK54,nil) )
   => ( ~ neq(sK53,nil)
      & ssList(sK56)
      & sK55 = sK56
      & sK53 = sK55
      & sK54 = sK56
      & neq(sK54,nil) ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ~ neq(X0,nil)
                  & ssList(X3)
                  & X2 = X3
                  & X0 = X2
                  & X1 = X3
                  & neq(X1,nil) ) ) )
      & ssList(X0) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( neq(X1,nil)
                  & ~ neq(X0,nil)
                  & X2 = X3
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ~ neq(X1,nil)
                      | neq(X0,nil)
                      | X2 != X3
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ~ neq(X1,nil)
                    | neq(X0,nil)
                    | X2 != X3
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f594,plain,
    neq(sK53,nil),
    inference(backward_demodulation,[],[f544,f593]) ).

fof(f593,plain,
    sK53 = sK54,
    inference(forward_demodulation,[],[f545,f592]) ).

fof(f592,plain,
    sK53 = sK56,
    inference(backward_demodulation,[],[f547,f546]) ).

fof(f546,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f347]) ).

fof(f547,plain,
    sK55 = sK56,
    inference(cnf_transformation,[],[f347]) ).

fof(f545,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f347]) ).

fof(f544,plain,
    neq(sK54,nil),
    inference(cnf_transformation,[],[f347]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC203+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:37:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (12018)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)
% 0.19/0.52  % (12010)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)
% 0.19/0.53  % (12001)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)
% 0.19/0.53  % (12009)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)
% 0.19/0.53  % (12002)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (12010)First to succeed.
% 0.19/0.55  % (12017)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)
% 0.19/0.55  % (12002)Instruction limit reached!
% 0.19/0.55  % (12002)------------------------------
% 0.19/0.55  % (12002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (12002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (12002)Termination reason: Unknown
% 0.19/0.55  % (12002)Termination phase: Function definition elimination
% 0.19/0.55  
% 0.19/0.55  % (12002)Memory used [KB]: 1279
% 0.19/0.55  % (12002)Time elapsed: 0.011 s
% 0.19/0.55  % (12002)Instructions burned: 7 (million)
% 0.19/0.55  % (12002)------------------------------
% 0.19/0.55  % (12002)------------------------------
% 0.19/0.55  % (12018)Also succeeded, but the first one will report.
% 0.19/0.55  % (12010)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Theorem for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (12010)------------------------------
% 0.19/0.55  % (12010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (12010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (12010)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (12010)Memory used [KB]: 1407
% 0.19/0.55  % (12010)Time elapsed: 0.020 s
% 0.19/0.55  % (12010)Instructions burned: 12 (million)
% 0.19/0.55  % (12010)------------------------------
% 0.19/0.55  % (12010)------------------------------
% 0.19/0.55  % (11994)Success in time 0.198 s
%------------------------------------------------------------------------------