TSTP Solution File: SYN057+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN057+1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.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 08:20:39 EDT 2024

% Result   : Theorem 0.72s 0.89s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   39 (   7 unt;   0 def)
%            Number of atoms       :   93 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  106 (  52   ~;  34   |;  10   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   26 (  21   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,plain,
    $false,
    inference(avatar_sat_refutation,[],[f30,f36,f40]) ).

fof(f40,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f39]) ).

fof(f39,plain,
    ( $false
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f38,f22]) ).

fof(f22,plain,
    big_f(sK1),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ( ~ big_g(sK1)
    & big_f(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f1,f15]) ).

fof(f15,plain,
    ( ? [X0] :
        ( ~ big_g(X0)
        & big_f(X0) )
   => ( ~ big_g(sK1)
      & big_f(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ? [X0] :
      ( ~ big_g(X0)
      & big_f(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel27_1) ).

fof(f38,plain,
    ( ~ big_f(sK1)
    | ~ spl2_1 ),
    inference(resolution,[],[f37,f23]) ).

fof(f23,plain,
    ~ big_g(sK1),
    inference(cnf_transformation,[],[f16]) ).

fof(f37,plain,
    ( ! [X0] :
        ( big_g(X0)
        | ~ big_f(X0) )
    | ~ spl2_1 ),
    inference(resolution,[],[f26,f21]) ).

fof(f21,plain,
    ! [X0] :
      ( big_h(X0)
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( big_h(X0)
      | ~ big_f(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( big_f(X0)
     => big_h(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel27_2) ).

fof(f26,plain,
    ( ! [X1] :
        ( ~ big_h(X1)
        | big_g(X1) )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl2_1
  <=> ! [X1] :
        ( big_g(X1)
        | ~ big_h(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f36,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f35]) ).

fof(f35,plain,
    ( $false
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f34,f17]) ).

fof(f17,plain,
    big_j(sK0),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ( big_i(sK0)
    & big_j(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f12]) ).

fof(f12,plain,
    ( ? [X0] :
        ( big_i(X0)
        & big_j(X0) )
   => ( big_i(sK0)
      & big_j(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ? [X0] :
      ( big_i(X0)
      & big_j(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ! [X0] :
        ( big_j(X0)
       => ~ big_i(X0) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ! [X0] :
      ( big_j(X0)
     => ~ big_i(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel27) ).

fof(f34,plain,
    ( ~ big_j(sK0)
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f33,f18]) ).

fof(f18,plain,
    big_i(sK0),
    inference(cnf_transformation,[],[f13]) ).

fof(f33,plain,
    ( ~ big_i(sK0)
    | ~ big_j(sK0)
    | ~ spl2_2 ),
    inference(resolution,[],[f32,f19]) ).

fof(f19,plain,
    ! [X0] :
      ( big_f(X0)
      | ~ big_i(X0)
      | ~ big_j(X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0] :
      ( big_f(X0)
      | ~ big_i(X0)
      | ~ big_j(X0) ),
    inference(flattening,[],[f8]) ).

fof(f8,plain,
    ! [X0] :
      ( big_f(X0)
      | ~ big_i(X0)
      | ~ big_j(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ( big_i(X0)
        & big_j(X0) )
     => big_f(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel27_3) ).

fof(f32,plain,
    ( ~ big_f(sK0)
    | ~ spl2_2 ),
    inference(resolution,[],[f31,f21]) ).

fof(f31,plain,
    ( ~ big_h(sK0)
    | ~ spl2_2 ),
    inference(resolution,[],[f29,f18]) ).

fof(f29,plain,
    ( ! [X0] :
        ( ~ big_i(X0)
        | ~ big_h(X0) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl2_2
  <=> ! [X0] :
        ( ~ big_h(X0)
        | ~ big_i(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f30,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f20,f28,f25]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ big_h(X0)
      | ~ big_i(X0)
      | big_g(X1)
      | ~ big_h(X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ( ! [X0] :
        ( ~ big_h(X0)
        | ~ big_i(X0) )
    | ! [X1] :
        ( big_g(X1)
        | ~ big_h(X1) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,plain,
    ( ! [X1] :
        ( ~ big_h(X1)
        | ~ big_i(X1) )
    | ! [X0] :
        ( big_g(X0)
        | ~ big_h(X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( ? [X0] :
        ( ~ big_g(X0)
        & big_h(X0) )
   => ! [X1] :
        ( big_i(X1)
       => ~ big_h(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel27_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN057+1 : TPTP v8.2.0. Released v2.0.0.
% 0.11/0.14  % 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
% 0.15/0.38  % Computer : n026.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Mon May 20 15:09:53 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.15/0.38  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.38  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
% 0.72/0.88  % (12135)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.72/0.88  % (12133)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 (2995ds/34Mi)
% 0.72/0.88  % (12136)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.72/0.88  % (12137)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 (2995ds/34Mi)
% 0.72/0.88  % (12138)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.72/0.88  % (12134)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 (2995ds/51Mi)
% 0.72/0.88  % (12139)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 (2995ds/83Mi)
% 0.72/0.89  % (12140)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 (2995ds/56Mi)
% 0.72/0.89  % (12133)Refutation not found, incomplete strategy% (12133)------------------------------
% 0.72/0.89  % (12133)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89  % (12136)Refutation not found, incomplete strategy% (12136)------------------------------
% 0.72/0.89  % (12136)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89  % (12133)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.89  % (12136)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.89  
% 0.72/0.89  
% 0.72/0.89  % (12133)Memory used [KB]: 943
% 0.72/0.89  % (12136)Memory used [KB]: 943
% 0.72/0.89  % (12136)Time elapsed: 0.002 s
% 0.72/0.89  % (12133)Time elapsed: 0.002 s
% 0.72/0.89  % (12133)Instructions burned: 2 (million)
% 0.72/0.89  % (12136)Instructions burned: 2 (million)
% 0.72/0.89  % (12140)Refutation not found, incomplete strategy% (12140)------------------------------
% 0.72/0.89  % (12140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89  % (12136)------------------------------
% 0.72/0.89  % (12136)------------------------------
% 0.72/0.89  % (12140)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.89  
% 0.72/0.89  % (12140)Memory used [KB]: 943
% 0.72/0.89  % (12140)Time elapsed: 0.002 s
% 0.72/0.89  % (12140)Instructions burned: 2 (million)
% 0.72/0.89  % (12138)Refutation not found, incomplete strategy% (12138)------------------------------
% 0.72/0.89  % (12138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89  % (12138)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.89  
% 0.72/0.89  % (12138)Memory used [KB]: 943
% 0.72/0.89  % (12138)Time elapsed: 0.002 s
% 0.72/0.89  % (12138)Instructions burned: 2 (million)
% 0.72/0.89  % (12140)------------------------------
% 0.72/0.89  % (12140)------------------------------
% 0.72/0.89  % (12137)Also succeeded, but the first one will report.
% 0.72/0.89  % (12134)Also succeeded, but the first one will report.
% 0.72/0.89  % (12135)First to succeed.
% 0.72/0.89  % (12138)------------------------------
% 0.72/0.89  % (12138)------------------------------
% 0.72/0.89  % (12139)Also succeeded, but the first one will report.
% 0.72/0.89  % (12133)------------------------------
% 0.72/0.89  % (12133)------------------------------
% 0.72/0.89  % (12135)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12132"
% 0.72/0.89  % (12135)Refutation found. Thanks to Tanya!
% 0.72/0.89  % SZS status Theorem for theBenchmark
% 0.72/0.89  % SZS output start Proof for theBenchmark
% See solution above
% 0.72/0.89  % (12135)------------------------------
% 0.72/0.89  % (12135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89  % (12135)Termination reason: Refutation
% 0.72/0.89  
% 0.72/0.89  % (12135)Memory used [KB]: 970
% 0.72/0.89  % (12135)Time elapsed: 0.003 s
% 0.72/0.89  % (12135)Instructions burned: 3 (million)
% 0.72/0.89  % (12132)Success in time 0.499 s
% 0.72/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------