TSTP Solution File: SYN986+1.002 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN986+1.002 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.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 : Sun May  5 12:08:05 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (   5 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   68 (  37   ~;  23   |;   6   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   56 (  47   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(resolution,[],[f21,f9]) ).

fof(f9,plain,
    ! [X0] : r(X0,zero,succ(X0)),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : r(X0,zero,succ(X0)),
    file('/export/starexec/sandbox/tmp/tmp.C3604davHp/Vampire---4.8_13876',hyp1) ).

fof(f21,plain,
    ! [X0] : ~ r(succ(succ(succ(zero))),zero,X0),
    inference(resolution,[],[f20,f9]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ r(succ(succ(zero)),zero,X0)
      | ~ r(X0,zero,X1) ),
    inference(resolution,[],[f19,f9]) ).

fof(f19,plain,
    ! [X2,X0,X1] :
      ( ~ r(succ(zero),zero,X0)
      | ~ r(X1,zero,X2)
      | ~ r(X0,zero,X1) ),
    inference(resolution,[],[f18,f9]) ).

fof(f18,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r(zero,zero,X0)
      | ~ r(X0,zero,X1)
      | ~ r(X2,zero,X3)
      | ~ r(X1,zero,X2) ),
    inference(resolution,[],[f17,f10]) ).

fof(f10,plain,
    ! [X2,X3,X0,X1] :
      ( r(X0,succ(X1),X3)
      | ~ r(X2,X1,X3)
      | ~ r(X0,X1,X2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0,X1,X2,X3] :
      ( r(X0,succ(X1),X3)
      | ~ r(X2,X1,X3)
      | ~ r(X0,X1,X2) ),
    inference(flattening,[],[f6]) ).

fof(f6,plain,
    ! [X0,X1,X2,X3] :
      ( r(X0,succ(X1),X3)
      | ~ r(X2,X1,X3)
      | ~ r(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2,X3] :
      ( r(X0,X1,X2)
     => ( r(X2,X1,X3)
       => r(X0,succ(X1),X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.C3604davHp/Vampire---4.8_13876',hyp2) ).

fof(f17,plain,
    ! [X2,X0,X1] :
      ( ~ r(X0,succ(zero),X1)
      | ~ r(X2,zero,X0)
      | ~ r(zero,zero,X2) ),
    inference(resolution,[],[f16,f10]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ r(zero,succ(zero),X0)
      | ~ r(X0,succ(zero),X1) ),
    inference(resolution,[],[f15,f10]) ).

fof(f15,plain,
    ! [X0] : ~ r(zero,succ(succ(zero)),X0),
    inference(resolution,[],[f14,f9]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ r(succ(zero),zero,X0)
      | ~ r(zero,X0,X1) ),
    inference(resolution,[],[f13,f9]) ).

fof(f13,plain,
    ! [X2,X0,X1] :
      ( ~ r(zero,zero,X0)
      | ~ r(X0,zero,X1)
      | ~ r(zero,X1,X2) ),
    inference(resolution,[],[f10,f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ r(zero,succ(zero),X0)
      | ~ r(zero,X0,X1) ),
    inference(resolution,[],[f9,f11]) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( ~ r(zero,zero,X0)
      | ~ r(zero,X0,X1)
      | ~ r(zero,X1,X2) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0,X1,X2] :
      ( ~ r(zero,X1,X2)
      | ~ r(zero,X0,X1)
      | ~ r(zero,zero,X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,plain,
    ~ ? [X0,X1,X2] :
        ( r(zero,X1,X2)
        & r(zero,X0,X1)
        & r(zero,zero,X0) ),
    inference(rectify,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ? [X4,X3,X5] :
        ( r(zero,X3,X5)
        & r(zero,X4,X3)
        & r(zero,zero,X4) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ? [X4,X3,X5] :
      ( r(zero,X3,X5)
      & r(zero,X4,X3)
      & r(zero,zero,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.C3604davHp/Vampire---4.8_13876',ck) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYN986+1.002 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37  % Computer : n009.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 17:44:08 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.C3604davHp/Vampire---4.8_13876
% 0.61/0.76  % (14264)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.61/0.76  % (14257)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 Vampire---4 for (2996ds/34Mi)
% 0.61/0.76  % (14259)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (14258)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 Vampire---4 for (2996ds/51Mi)
% 0.61/0.76  % (14261)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 Vampire---4 for (2996ds/34Mi)
% 0.61/0.76  % (14262)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.76  % (14260)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.61/0.76  % (14263)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 Vampire---4 for (2996ds/83Mi)
% 0.61/0.76  % (14260)Refutation not found, incomplete strategy% (14260)------------------------------
% 0.61/0.76  % (14260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (14260)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (14258)First to succeed.
% 0.61/0.76  % (14262)Also succeeded, but the first one will report.
% 0.61/0.76  % (14260)Memory used [KB]: 956
% 0.61/0.76  % (14260)Time elapsed: 0.003 s
% 0.61/0.76  % (14261)Also succeeded, but the first one will report.
% 0.61/0.76  % (14260)Instructions burned: 2 (million)
% 0.61/0.76  % (14260)------------------------------
% 0.61/0.76  % (14260)------------------------------
% 0.61/0.76  % (14259)Also succeeded, but the first one will report.
% 0.61/0.76  % (14263)Refutation not found, incomplete strategy% (14263)------------------------------
% 0.61/0.76  % (14263)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (14258)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14123"
% 0.61/0.76  % (14263)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (14263)Memory used [KB]: 983
% 0.61/0.76  % (14263)Time elapsed: 0.003 s
% 0.61/0.76  % (14263)Instructions burned: 2 (million)
% 0.61/0.76  % (14257)Also succeeded, but the first one will report.
% 0.61/0.77  % (14263)------------------------------
% 0.61/0.77  % (14263)------------------------------
% 0.61/0.77  % (14258)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (14258)------------------------------
% 0.61/0.77  % (14258)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (14258)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (14258)Memory used [KB]: 981
% 0.61/0.77  % (14258)Time elapsed: 0.003 s
% 0.61/0.77  % (14258)Instructions burned: 3 (million)
% 0.61/0.77  % (14123)Success in time 0.386 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------