TSTP Solution File: SYN066+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN066+1 : TPTP v8.2.0. Bugfixed v3.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 May 21 08:20:44 EDT 2024

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  10 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   70 (  26   ~;  19   |;  14   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   77 (  49   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33,plain,
    $false,
    inference(subsumption_resolution,[],[f31,f28]) ).

fof(f28,plain,
    ! [X0,X1] : ~ big_q(X0,X1),
    inference(resolution,[],[f27,f26]) ).

fof(f26,plain,
    ! [X2,X0,X1] :
      ( big_r(X0,X0)
      | ~ big_q(X1,X2) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( ! [X0] : big_r(X0,X0)
    | ! [X1,X2] : ~ big_q(X1,X2) ),
    inference(rectify,[],[f11]) ).

fof(f11,plain,
    ( ! [X2] : big_r(X2,X2)
    | ! [X0,X1] : ~ big_q(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ? [X0,X1] : big_q(X0,X1)
   => ! [X2] : big_r(X2,X2) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ( ? [X2,X3] : big_q(X2,X3)
   => ! [X0] : big_r(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37_3) ).

fof(f27,plain,
    ! [X1] : ~ big_r(sK4,X1),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X1] : ~ big_r(sK4,X1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f12,f20]) ).

fof(f20,plain,
    ( ? [X0] :
      ! [X1] : ~ big_r(X0,X1)
   => ! [X1] : ~ big_r(sK4,X1) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ? [X0] :
    ! [X1] : ~ big_r(X0,X1),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,plain,
    ~ ! [X0] :
      ? [X1] : big_r(X0,X1),
    inference(rectify,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ! [X2] :
      ? [X3] : big_r(X2,X3),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ! [X2] :
    ? [X3] : big_r(X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37) ).

fof(f31,plain,
    ! [X0] : big_q(sK2(X0),sK0(X0)),
    inference(resolution,[],[f30,f24]) ).

fof(f24,plain,
    ! [X2,X0] :
      ( big_q(sK2(X0),sK0(X0))
      | ~ big_p(sK1(X0,X2),sK0(X0)) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X2] :
      ( ( big_q(sK2(X0),sK0(X0))
        | ~ big_p(sK1(X0,X2),sK0(X0)) )
      & big_p(sK1(X0,X2),X0)
      & ( big_p(sK1(X0,X2),sK0(X0))
        | ~ big_p(X2,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f15,f14,f13]) ).

fof(f13,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
        ? [X3] :
          ( ( ? [X4] : big_q(X4,X1)
            | ~ big_p(X3,X1) )
          & big_p(X3,X0)
          & ( big_p(X3,X1)
            | ~ big_p(X2,X0) ) )
     => ! [X2] :
        ? [X3] :
          ( ( ? [X4] : big_q(X4,sK0(X0))
            | ~ big_p(X3,sK0(X0)) )
          & big_p(X3,X0)
          & ( big_p(X3,sK0(X0))
            | ~ big_p(X2,X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( ( ? [X4] : big_q(X4,sK0(X0))
            | ~ big_p(X3,sK0(X0)) )
          & big_p(X3,X0)
          & ( big_p(X3,sK0(X0))
            | ~ big_p(X2,X0) ) )
     => ( ( ? [X4] : big_q(X4,sK0(X0))
          | ~ big_p(sK1(X0,X2),sK0(X0)) )
        & big_p(sK1(X0,X2),X0)
        & ( big_p(sK1(X0,X2),sK0(X0))
          | ~ big_p(X2,X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ! [X0] :
      ( ? [X4] : big_q(X4,sK0(X0))
     => big_q(sK2(X0),sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
    ? [X3] :
      ( ( ? [X4] : big_q(X4,X1)
        | ~ big_p(X3,X1) )
      & big_p(X3,X0)
      & ( big_p(X3,X1)
        | ~ big_p(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
    ? [X1] :
    ! [X2] :
    ? [X3] :
      ( ( big_p(X3,X1)
       => ? [X4] : big_q(X4,X1) )
      & big_p(X3,X0)
      & ( big_p(X2,X0)
       => big_p(X3,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37_1) ).

fof(f30,plain,
    ! [X0,X1] : big_p(X1,X0),
    inference(resolution,[],[f28,f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( big_q(sK3(X1),X1)
      | big_p(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( big_q(sK3(X1),X1)
      | big_p(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f10,f17]) ).

fof(f17,plain,
    ! [X1] :
      ( ? [X2] : big_q(X2,X1)
     => big_q(sK3(X1),X1) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ? [X2] : big_q(X2,X1)
      | big_p(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ~ big_p(X0,X1)
     => ? [X2] : big_q(X2,X1) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X0] :
      ( ~ big_p(X2,X0)
     => ? [X3] : big_q(X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN066+1 : TPTP v8.2.0. Bugfixed v3.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 15:55:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.73  % (27359)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.73  % (27359)Refutation not found, incomplete strategy% (27359)------------------------------
% 0.55/0.73  % (27359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (27359)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (27359)Memory used [KB]: 942
% 0.55/0.73  % (27359)Time elapsed: 0.001 s
% 0.55/0.73  % (27359)Instructions burned: 2 (million)
% 0.55/0.73  % (27359)------------------------------
% 0.55/0.73  % (27359)------------------------------
% 0.55/0.73  % (27352)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.73  % (27355)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.73  % (27353)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.55/0.73  % (27356)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.73  % (27357)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.73  % (27354)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.73  % (27358)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.55/0.73  % (27352)Refutation not found, incomplete strategy% (27352)------------------------------
% 0.55/0.73  % (27352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (27352)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (27352)Memory used [KB]: 942
% 0.55/0.73  % (27352)Time elapsed: 0.002 s
% 0.55/0.73  % (27352)Instructions burned: 2 (million)
% 0.55/0.73  % (27355)Refutation not found, incomplete strategy% (27355)------------------------------
% 0.55/0.73  % (27355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (27357)Refutation not found, incomplete strategy% (27357)------------------------------
% 0.55/0.73  % (27357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (27357)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (27357)Memory used [KB]: 942
% 0.55/0.73  % (27357)Time elapsed: 0.002 s
% 0.55/0.73  % (27357)Instructions burned: 2 (million)
% 0.55/0.73  % (27355)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (27355)Memory used [KB]: 942
% 0.55/0.73  % (27355)Time elapsed: 0.002 s
% 0.55/0.73  % (27355)Instructions burned: 2 (million)
% 0.55/0.73  % (27352)------------------------------
% 0.55/0.73  % (27352)------------------------------
% 0.55/0.73  % (27357)------------------------------
% 0.55/0.73  % (27357)------------------------------
% 0.55/0.73  % (27355)------------------------------
% 0.55/0.73  % (27355)------------------------------
% 0.55/0.73  % (27356)First to succeed.
% 0.55/0.73  % (27353)Also succeeded, but the first one will report.
% 0.55/0.73  % (27354)Also succeeded, but the first one will report.
% 0.55/0.73  % (27358)Also succeeded, but the first one will report.
% 0.55/0.73  % (27356)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27288"
% 0.55/0.73  % (27360)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.55/0.74  % (27356)Refutation found. Thanks to Tanya!
% 0.55/0.74  % SZS status Theorem for theBenchmark
% 0.55/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.74  % (27356)------------------------------
% 0.55/0.74  % (27356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (27356)Termination reason: Refutation
% 0.55/0.74  
% 0.55/0.74  % (27356)Memory used [KB]: 961
% 0.55/0.74  % (27356)Time elapsed: 0.003 s
% 0.55/0.74  % (27356)Instructions burned: 3 (million)
% 0.55/0.74  % (27288)Success in time 0.373 s
% 0.55/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------