TSTP Solution File: SWC269+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC269+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n018.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 : Tue Apr 30 16:15:24 EDT 2024

% Result   : Theorem 0.14s 0.40s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :  175 (  27 equ)
%            Maximal formula atoms :   28 (  12 avg)
%            Number of connectives :  237 (  76   ~;  54   |;  95   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (  10 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   45 (  19   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f731,plain,
    $false,
    inference(subsumption_resolution,[],[f730,f446]) ).

fof(f446,plain,
    ~ totalorderedP(sK41),
    inference(cnf_transformation,[],[f288]) ).

fof(f288,plain,
    ( ~ totalorderedP(sK41)
    & ! [X4] :
        ( ~ totalorderedP(X4)
        | ~ segmentP(X4,sK43)
        | ~ frontsegP(sK44,X4)
        | ~ neq(sK43,X4)
        | ~ ssList(X4) )
    & totalorderedP(sK43)
    & frontsegP(sK44,sK43)
    & sK41 = sK43
    & sK42 = sK44
    & ssList(sK44)
    & ssList(sK43)
    & ssList(sK42)
    & ssList(sK41) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43,sK44])],[f99,f287,f286,f285,f284]) ).

fof(f284,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ~ totalorderedP(X0)
                    & ! [X4] :
                        ( ~ totalorderedP(X4)
                        | ~ segmentP(X4,X2)
                        | ~ frontsegP(X3,X4)
                        | ~ neq(X2,X4)
                        | ~ ssList(X4) )
                    & totalorderedP(X2)
                    & frontsegP(X3,X2)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ totalorderedP(sK41)
                  & ! [X4] :
                      ( ~ totalorderedP(X4)
                      | ~ segmentP(X4,X2)
                      | ~ frontsegP(X3,X4)
                      | ~ neq(X2,X4)
                      | ~ ssList(X4) )
                  & totalorderedP(X2)
                  & frontsegP(X3,X2)
                  & sK41 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK41) ) ),
    introduced(choice_axiom,[]) ).

fof(f285,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ~ totalorderedP(sK41)
                & ! [X4] :
                    ( ~ totalorderedP(X4)
                    | ~ segmentP(X4,X2)
                    | ~ frontsegP(X3,X4)
                    | ~ neq(X2,X4)
                    | ~ ssList(X4) )
                & totalorderedP(X2)
                & frontsegP(X3,X2)
                & sK41 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ~ totalorderedP(sK41)
              & ! [X4] :
                  ( ~ totalorderedP(X4)
                  | ~ segmentP(X4,X2)
                  | ~ frontsegP(X3,X4)
                  | ~ neq(X2,X4)
                  | ~ ssList(X4) )
              & totalorderedP(X2)
              & frontsegP(X3,X2)
              & sK41 = X2
              & sK42 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK42) ) ),
    introduced(choice_axiom,[]) ).

fof(f286,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ~ totalorderedP(sK41)
            & ! [X4] :
                ( ~ totalorderedP(X4)
                | ~ segmentP(X4,X2)
                | ~ frontsegP(X3,X4)
                | ~ neq(X2,X4)
                | ~ ssList(X4) )
            & totalorderedP(X2)
            & frontsegP(X3,X2)
            & sK41 = X2
            & sK42 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ~ totalorderedP(sK41)
          & ! [X4] :
              ( ~ totalorderedP(X4)
              | ~ segmentP(X4,sK43)
              | ~ frontsegP(X3,X4)
              | ~ neq(sK43,X4)
              | ~ ssList(X4) )
          & totalorderedP(sK43)
          & frontsegP(X3,sK43)
          & sK41 = sK43
          & sK42 = X3
          & ssList(X3) )
      & ssList(sK43) ) ),
    introduced(choice_axiom,[]) ).

fof(f287,plain,
    ( ? [X3] :
        ( ~ totalorderedP(sK41)
        & ! [X4] :
            ( ~ totalorderedP(X4)
            | ~ segmentP(X4,sK43)
            | ~ frontsegP(X3,X4)
            | ~ neq(sK43,X4)
            | ~ ssList(X4) )
        & totalorderedP(sK43)
        & frontsegP(X3,sK43)
        & sK41 = sK43
        & sK42 = X3
        & ssList(X3) )
   => ( ~ totalorderedP(sK41)
      & ! [X4] :
          ( ~ totalorderedP(X4)
          | ~ segmentP(X4,sK43)
          | ~ frontsegP(sK44,X4)
          | ~ neq(sK43,X4)
          | ~ ssList(X4) )
      & totalorderedP(sK43)
      & frontsegP(sK44,sK43)
      & sK41 = sK43
      & sK42 = sK44
      & ssList(sK44) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ totalorderedP(X0)
                  & ! [X4] :
                      ( ~ totalorderedP(X4)
                      | ~ segmentP(X4,X2)
                      | ~ frontsegP(X3,X4)
                      | ~ neq(X2,X4)
                      | ~ ssList(X4) )
                  & totalorderedP(X2)
                  & frontsegP(X3,X2)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ totalorderedP(X0)
                  & ! [X4] :
                      ( ~ totalorderedP(X4)
                      | ~ segmentP(X4,X2)
                      | ~ frontsegP(X3,X4)
                      | ~ neq(X2,X4)
                      | ~ ssList(X4) )
                  & totalorderedP(X2)
                  & frontsegP(X3,X2)
                  & 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)
                   => ( totalorderedP(X0)
                      | ? [X4] :
                          ( totalorderedP(X4)
                          & segmentP(X4,X2)
                          & frontsegP(X3,X4)
                          & neq(X2,X4)
                          & ssList(X4) )
                      | ~ totalorderedP(X2)
                      | ~ frontsegP(X3,X2)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( totalorderedP(X0)
                    | ? [X4] :
                        ( totalorderedP(X4)
                        & segmentP(X4,X2)
                        & frontsegP(X3,X4)
                        & neq(X2,X4)
                        & ssList(X4) )
                    | ~ totalorderedP(X2)
                    | ~ frontsegP(X3,X2)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f730,plain,
    totalorderedP(sK41),
    inference(forward_demodulation,[],[f444,f442]) ).

fof(f442,plain,
    sK41 = sK43,
    inference(cnf_transformation,[],[f288]) ).

fof(f444,plain,
    totalorderedP(sK43),
    inference(cnf_transformation,[],[f288]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWC269+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 04:23:13 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (18243)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39  % (18244)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39  % (18250)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39  % (18249)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39  % (18246)WARNING: value z3 for option sas not known
% 0.14/0.40  % (18246)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40  % (18247)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40  % (18248)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.40  % (18250)First to succeed.
% 0.14/0.40  % (18245)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40  % (18250)Refutation found. Thanks to Tanya!
% 0.14/0.40  % SZS status Theorem for theBenchmark
% 0.14/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40  % (18250)------------------------------
% 0.14/0.40  % (18250)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40  % (18250)Termination reason: Refutation
% 0.14/0.40  
% 0.14/0.40  % (18250)Memory used [KB]: 1296
% 0.14/0.40  % (18250)Time elapsed: 0.011 s
% 0.14/0.40  % (18250)Instructions burned: 18 (million)
% 0.14/0.40  % (18250)------------------------------
% 0.14/0.40  % (18250)------------------------------
% 0.14/0.40  % (18243)Success in time 0.017 s
%------------------------------------------------------------------------------