TSTP Solution File: SYN939+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN939+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n014.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 : Fri Sep  1 03:47:59 EDT 2023

% Result   : Theorem 0.23s 0.44s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   34 (   4 unt;   0 def)
%            Number of atoms       :  121 (   0 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  154 (  67   ~;  56   |;  21   &)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   72 (;  62   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,plain,
    $false,
    inference(resolution,[],[f40,f7]) ).

fof(f7,plain,
    ! [X4] : q(f(X4)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ! [X2,X3] :
        ( ~ q(X2)
        | ( ( ~ r(sK0)
            | ~ r(sK1) )
          & r(X3) )
        | ( ~ p(X2)
          & p(f(X3)) ) )
    & ! [X4] : q(f(X4)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).

fof(f5,plain,
    ( ? [X0,X1] :
        ( ! [X2,X3] :
            ( ~ q(X2)
            | ( ( ~ r(X0)
                | ~ r(X1) )
              & r(X3) )
            | ( ~ p(X2)
              & p(f(X3)) ) )
        & ! [X4] : q(f(X4)) )
   => ( ! [X3,X2] :
          ( ~ q(X2)
          | ( ( ~ r(sK0)
              | ~ r(sK1) )
            & r(X3) )
          | ( ~ p(X2)
            & p(f(X3)) ) )
      & ! [X4] : q(f(X4)) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ q(X2)
          | ( ( ~ r(X0)
              | ~ r(X1) )
            & r(X3) )
          | ( ~ p(X2)
            & p(f(X3)) ) )
      & ! [X4] : q(f(X4)) ),
    inference(rectify,[],[f3]) ).

fof(f3,plain,
    ? [X0,X1] :
      ( ! [X3,X4] :
          ( ~ q(X3)
          | ( ( ~ r(X0)
              | ~ r(X1) )
            & r(X4) )
          | ( ~ p(X3)
            & p(f(X4)) ) )
      & ! [X2] : q(f(X2)) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
        ( ! [X2] : q(f(X2))
       => ? [X3,X4] :
            ( q(X3)
            & ( r(X4)
             => ( r(X0)
                & r(X1) ) )
            & ( p(f(X4))
             => p(X3) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0,X1] :
      ( ! [X2] : q(f(X2))
     => ? [X3,X4] :
          ( q(X3)
          & ( r(X4)
           => ( r(X0)
              & r(X1) ) )
          & ( p(f(X4))
           => p(X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.2d6zpEfZeV/Vampire---4.8_9627',prove_this) ).

fof(f40,plain,
    ! [X0] : ~ q(X0),
    inference(resolution,[],[f38,f7]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ q(f(X1))
      | ~ q(X0) ),
    inference(resolution,[],[f35,f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ p(X0)
      | ~ q(X0) ),
    inference(resolution,[],[f30,f28]) ).

fof(f28,plain,
    ! [X0] : r(X0),
    inference(factoring,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( r(X0)
      | r(X1) ),
    inference(resolution,[],[f22,f7]) ).

fof(f22,plain,
    ! [X2,X0,X1] :
      ( ~ q(X0)
      | r(X1)
      | r(X2) ),
    inference(resolution,[],[f20,f7]) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( ~ q(f(X0))
      | ~ q(X1)
      | r(X0)
      | r(X2) ),
    inference(resolution,[],[f19,f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ p(X0)
      | ~ q(X0)
      | r(X1) ),
    inference(resolution,[],[f14,f15]) ).

fof(f15,plain,
    ! [X3] :
      ( ~ sP3
      | r(X3) ),
    inference(general_splitting,[],[f9,f14_D]) ).

fof(f9,plain,
    ! [X2,X3] :
      ( ~ q(X2)
      | r(X3)
      | ~ p(X2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ! [X2] :
      ( sP3
      | ~ p(X2)
      | ~ q(X2) ),
    inference(cnf_transformation,[],[f14_D]) ).

fof(f14_D,plain,
    ( ! [X2] :
        ( ~ p(X2)
        | ~ q(X2) )
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( p(f(X0))
      | r(X0)
      | ~ q(X1) ),
    inference(resolution,[],[f17,f16]) ).

fof(f16,plain,
    ! [X2] :
      ( sP4
      | ~ q(X2) ),
    inference(cnf_transformation,[],[f16_D]) ).

fof(f16_D,plain,
    ( ! [X2] : ~ q(X2)
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f17,plain,
    ! [X3] :
      ( ~ sP4
      | p(f(X3))
      | r(X3) ),
    inference(general_splitting,[],[f8,f16_D]) ).

fof(f8,plain,
    ! [X2,X3] :
      ( ~ q(X2)
      | r(X3)
      | p(f(X3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ! [X2] :
      ( ~ r(sK0)
      | ~ q(X2)
      | ~ p(X2) ),
    inference(resolution,[],[f28,f11]) ).

fof(f11,plain,
    ! [X2] :
      ( ~ r(sK1)
      | ~ r(sK0)
      | ~ q(X2)
      | ~ p(X2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( p(f(X0))
      | ~ q(X1) ),
    inference(resolution,[],[f29,f28]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ r(sK0)
      | p(f(X0))
      | ~ q(X1) ),
    inference(resolution,[],[f28,f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ r(sK1)
      | p(f(X0))
      | ~ r(sK0)
      | ~ q(X1) ),
    inference(resolution,[],[f13,f12]) ).

fof(f12,plain,
    ! [X2] :
      ( sP2
      | ~ q(X2) ),
    inference(cnf_transformation,[],[f12_D]) ).

fof(f12_D,plain,
    ( ! [X2] : ~ q(X2)
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f13,plain,
    ! [X3] :
      ( ~ sP2
      | ~ r(sK1)
      | p(f(X3))
      | ~ r(sK0) ),
    inference(general_splitting,[],[f10,f12_D]) ).

fof(f10,plain,
    ! [X2,X3] :
      ( ~ q(X2)
      | ~ r(sK0)
      | ~ r(sK1)
      | p(f(X3)) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN939+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n014.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat Aug 26 21:07:17 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.2d6zpEfZeV/Vampire---4.8_9627
% 0.16/0.37  % (9762)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (9767)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43  % (9763)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.23/0.43  % (9769)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.23/0.43  % (9765)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.23/0.43  % (9768)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.23/0.43  % (9766)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.23/0.43  % (9769)First to succeed.
% 0.23/0.44  % (9764)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.23/0.44  % (9767)Also succeeded, but the first one will report.
% 0.23/0.44  % (9769)Refutation found. Thanks to Tanya!
% 0.23/0.44  % SZS status Theorem for Vampire---4
% 0.23/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44  % (9769)------------------------------
% 0.23/0.44  % (9769)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44  % (9769)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44  % (9769)Termination reason: Refutation
% 0.23/0.44  
% 0.23/0.44  % (9769)Memory used [KB]: 895
% 0.23/0.44  % (9769)Time elapsed: 0.004 s
% 0.23/0.44  % (9769)------------------------------
% 0.23/0.44  % (9769)------------------------------
% 0.23/0.44  % (9762)Success in time 0.062 s
% 0.23/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------