TSTP Solution File: SYN068+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN068+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 : n029.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 11:55:54 EDT 2024

% Result   : Theorem 0.57s 0.73s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   38 (  15   ~;   7   |;  13   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   20 (  10   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,plain,
    $false,
    inference(subsumption_resolution,[],[f22,f19]) ).

fof(f19,plain,
    ~ big_h(sK2,sK1(sK2)),
    inference(unit_resulting_resolution,[],[f16,f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ big_h(X0,sK1(X0))
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0] :
      ( ( ? [X1] :
            ( ~ big_h(X0,X1)
            & big_g(X1) )
        & ? [X2] :
            ( big_h(X0,X2)
            & big_g(X2) ) )
      | ~ big_f(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0] :
      ( big_f(X0)
     => ( ? [X1] :
            ( ~ big_h(X0,X1)
            & big_g(X1) )
        & ? [X2] :
            ( big_h(X0,X2)
            & big_g(X2) ) ) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( big_f(X0)
     => ( ? [X2] :
            ( ~ big_h(X0,X2)
            & big_g(X2) )
        & ? [X1] :
            ( big_h(X0,X1)
            & big_g(X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.uretNU1Az8/Vampire---4.8_11909',pel44_1) ).

fof(f16,plain,
    big_f(sK2),
    inference(unit_resulting_resolution,[],[f15,f9]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ big_j(X0)
      | big_f(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0] :
      ( big_f(X0)
      | ~ big_j(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ? [X0] :
        ( ~ big_f(X0)
        & big_j(X0) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ? [X0] :
      ( ~ big_f(X0)
      & big_j(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.uretNU1Az8/Vampire---4.8_11909',pel44) ).

fof(f15,plain,
    big_j(sK2),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ? [X0] :
      ( ! [X1] :
          ( big_h(X0,X1)
          | ~ big_g(X1) )
      & big_j(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ? [X0] :
      ( ! [X1] :
          ( big_g(X1)
         => big_h(X0,X1) )
      & big_j(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.uretNU1Az8/Vampire---4.8_11909',pel44_2) ).

fof(f22,plain,
    big_h(sK2,sK1(sK2)),
    inference(unit_resulting_resolution,[],[f18,f14]) ).

fof(f14,plain,
    ! [X1] :
      ( big_h(sK2,X1)
      | ~ big_g(X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f18,plain,
    big_g(sK1(sK2)),
    inference(unit_resulting_resolution,[],[f16,f10]) ).

fof(f10,plain,
    ! [X0] :
      ( big_g(sK1(X0))
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN068+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n029.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   : Fri May  3 17:28:08 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.uretNU1Az8/Vampire---4.8_11909
% 0.57/0.73  % (12024)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)
% 0.57/0.73  % (12024)First to succeed.
% 0.57/0.73  % (12018)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)
% 0.57/0.73  % (12021)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)
% 0.57/0.73  % (12024)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12017"
% 0.57/0.73  % (12020)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73  % (12019)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)
% 0.57/0.73  % (12022)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)
% 0.57/0.73  % (12023)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)
% 0.57/0.73  % (12024)Refutation found. Thanks to Tanya!
% 0.57/0.73  % SZS status Theorem for Vampire---4
% 0.57/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.73  % (12024)------------------------------
% 0.57/0.73  % (12024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (12024)Termination reason: Refutation
% 0.57/0.73  
% 0.57/0.73  % (12024)Memory used [KB]: 959
% 0.57/0.73  % (12024)Time elapsed: 0.002 s
% 0.57/0.73  % (12024)Instructions burned: 2 (million)
% 0.57/0.73  % (12017)Success in time 0.37 s
% 0.57/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------