TSTP Solution File: SYN370+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN370+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n016.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 11:57:05 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   20 (   6   ~;   7   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   19 (  13   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,plain,
    $false,
    inference(resolution,[],[f8,f7]) ).

fof(f7,plain,
    ! [X2,X0] : ~ big_p(X0,sK0(X0),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0,X2] :
      ( ~ big_p(X0,sK0(X0),X2)
      & ( big_p(X0,sK0(X0),f(sK0(X0)))
        | big_p(a,sK0(X0),h(sK0(X0))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4]) ).

fof(f4,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ~ big_p(X0,X1,X2)
          & ( big_p(X0,X1,f(X1))
            | big_p(a,X1,h(X1)) ) )
     => ! [X2] :
          ( ~ big_p(X0,sK0(X0),X2)
          & ( big_p(X0,sK0(X0),f(sK0(X0)))
            | big_p(a,sK0(X0),h(sK0(X0))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f3,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ~ big_p(X0,X1,X2)
      & ( big_p(X0,X1,f(X1))
        | big_p(a,X1,h(X1)) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
      ! [X1] :
      ? [X2] :
        ( ( big_p(X0,X1,f(X1))
          | big_p(a,X1,h(X1)) )
       => big_p(X0,X1,X2) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] :
    ! [X1] :
    ? [X2] :
      ( ( big_p(X0,X1,f(X1))
        | big_p(a,X1,h(X1)) )
     => big_p(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.7LB4DAtqNV/Vampire---4.8_2739',x2121) ).

fof(f8,plain,
    ! [X0] : big_p(a,sK0(X0),h(sK0(X0))),
    inference(subsumption_resolution,[],[f6,f7]) ).

fof(f6,plain,
    ! [X0] :
      ( big_p(X0,sK0(X0),f(sK0(X0)))
      | big_p(a,sK0(X0),h(sK0(X0))) ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN370+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.15  % 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
% 0.14/0.36  % Computer : n016.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   : Fri May  3 17:18:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36  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.7LB4DAtqNV/Vampire---4.8_2739
% 0.56/0.75  % (3124)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)
% 0.56/0.75  % (3124)First to succeed.
% 0.56/0.75  % (3117)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)
% 0.56/0.75  % (3124)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2987"
% 0.56/0.75  % (3119)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (3118)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)
% 0.56/0.75  % (3121)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)
% 0.56/0.75  % (3122)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)
% 0.56/0.75  % (3120)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)
% 0.56/0.75  % (3123)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)
% 0.56/0.75  % (3124)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (3124)------------------------------
% 0.56/0.75  % (3124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (3124)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (3124)Memory used [KB]: 956
% 0.56/0.75  % (3124)Time elapsed: 0.002 s
% 0.56/0.75  % (3124)Instructions burned: 2 (million)
% 0.56/0.75  % (2987)Success in time 0.381 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------