TSTP Solution File: SWC328+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC328+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 : 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 : Wed Aug 31 18:43:11 EDT 2022

% Result   : Theorem 0.16s 0.52s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (  12 unt;   0 def)
%            Number of atoms       :   74 (  16 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   66 (  21   ~;  18   |;  16   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   20 (  12   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f570,plain,
    $false,
    inference(avatar_sat_refutation,[],[f557,f567,f569]) ).

fof(f569,plain,
    spl62_3,
    inference(avatar_contradiction_clause,[],[f568]) ).

fof(f568,plain,
    ( $false
    | spl62_3 ),
    inference(resolution,[],[f552,f458]) ).

fof(f458,plain,
    equalelemsP(sK26),
    inference(definition_unfolding,[],[f342,f419]) ).

fof(f419,plain,
    nil = sK26,
    inference(definition_unfolding,[],[f330,f332]) ).

fof(f332,plain,
    sK28 = sK26,
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( X0 = X2
                  & ssList(X3)
                  & nil = X2
                  & ( ~ segmentP(X1,X0)
                    | ~ equalelemsP(X0) )
                  & X1 = X3 )
              & ssList(X2) ) )
      & ssList(X0) ),
    inference(flattening,[],[f150]) ).

fof(f150,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ segmentP(X1,X0)
                    | ~ equalelemsP(X0) )
                  & X0 = X2
                  & nil = 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)
                   => ( ( equalelemsP(X0)
                        & segmentP(X1,X0) )
                      | X0 != X2
                      | nil != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

fof(f330,plain,
    nil = sK28,
    inference(cnf_transformation,[],[f151]) ).

fof(f342,plain,
    equalelemsP(nil),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

fof(f552,plain,
    ( ~ equalelemsP(sK26)
    | spl62_3 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f550,plain,
    ( spl62_3
  <=> equalelemsP(sK26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_3])]) ).

fof(f567,plain,
    spl62_4,
    inference(avatar_contradiction_clause,[],[f566]) ).

fof(f566,plain,
    ( $false
    | spl62_4 ),
    inference(resolution,[],[f565,f454]) ).

fof(f454,plain,
    ssList(sK27),
    inference(definition_unfolding,[],[f331,f329]) ).

fof(f329,plain,
    sK29 = sK27,
    inference(cnf_transformation,[],[f151]) ).

fof(f331,plain,
    ssList(sK29),
    inference(cnf_transformation,[],[f151]) ).

fof(f565,plain,
    ( ~ ssList(sK27)
    | spl62_4 ),
    inference(resolution,[],[f445,f556]) ).

fof(f556,plain,
    ( ~ segmentP(sK27,sK26)
    | spl62_4 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f554,plain,
    ( spl62_4
  <=> segmentP(sK27,sK26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_4])]) ).

fof(f445,plain,
    ! [X0] :
      ( segmentP(X0,sK26)
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f307,f419]) ).

fof(f307,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,nil) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

fof(f557,plain,
    ( ~ spl62_3
    | ~ spl62_4 ),
    inference(avatar_split_clause,[],[f328,f554,f550]) ).

fof(f328,plain,
    ( ~ segmentP(sK27,sK26)
    | ~ equalelemsP(sK26) ),
    inference(cnf_transformation,[],[f151]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SWC328+1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.10/0.32  % Computer : n018.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 18:51:25 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.16/0.47  % (8053)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.48  % (8056)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)
% 0.16/0.48  % (8048)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)
% 0.16/0.48  % (8049)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49  % (8057)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)
% 0.16/0.49  % (8065)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)
% 0.16/0.50  % (8049)Instruction limit reached!
% 0.16/0.50  % (8049)------------------------------
% 0.16/0.50  % (8049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (8049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (8049)Termination reason: Unknown
% 0.16/0.50  % (8049)Termination phase: Function definition elimination
% 0.16/0.50  
% 0.16/0.50  % (8049)Memory used [KB]: 1279
% 0.16/0.50  % (8049)Time elapsed: 0.010 s
% 0.16/0.50  % (8049)Instructions burned: 8 (million)
% 0.16/0.50  % (8049)------------------------------
% 0.16/0.50  % (8049)------------------------------
% 0.16/0.50  % (8053)First to succeed.
% 0.16/0.50  % (8069)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.50  % (8061)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.51  % (8064)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)
% 0.16/0.51  TRYING [1]
% 0.16/0.52  % (8054)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.52  TRYING [2]
% 0.16/0.52  % (8056)Also succeeded, but the first one will report.
% 0.16/0.52  % (8053)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  % (8053)------------------------------
% 0.16/0.52  % (8053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (8053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (8053)Termination reason: Refutation
% 0.16/0.52  
% 0.16/0.52  % (8053)Memory used [KB]: 5884
% 0.16/0.52  % (8053)Time elapsed: 0.112 s
% 0.16/0.52  % (8053)Instructions burned: 14 (million)
% 0.16/0.52  % (8053)------------------------------
% 0.16/0.52  % (8053)------------------------------
% 0.16/0.52  % (8041)Success in time 0.191 s
%------------------------------------------------------------------------------