TSTP Solution File: SYN591-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN591-1 : TPTP v8.2.0. Released v2.5.0.
% 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 : n020.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 08:23:54 EDT 2024

% Result   : Unsatisfiable 0.63s 0.80s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   37 (   8 unt;   0 def)
%            Number of atoms       :   97 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  129 (  69   ~;  58   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f140,plain,
    $false,
    inference(avatar_sat_refutation,[],[f65,f110,f139]) ).

fof(f139,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f138]) ).

fof(f138,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f136,f11]) ).

fof(f11,axiom,
    p12(c14,f4(c18,c17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).

fof(f136,plain,
    ( ~ p12(c14,f4(c18,c17))
    | ~ spl0_1 ),
    inference(resolution,[],[f131,f22]) ).

fof(f22,axiom,
    ! [X19] :
      ( p2(f6(X19),f5(X19))
      | ~ p12(c14,f4(X19,c17)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_22) ).

fof(f131,plain,
    ( ~ p2(f6(c18),f5(c18))
    | ~ spl0_1 ),
    inference(resolution,[],[f128,f4]) ).

fof(f4,axiom,
    ! [X1] : p2(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

fof(f128,plain,
    ( ! [X0] :
        ( ~ p2(X0,f6(c18))
        | ~ p2(X0,f5(c18)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f125,f20]) ).

fof(f20,axiom,
    ! [X1,X16,X15] :
      ( p2(X15,X16)
      | ~ p2(X1,X15)
      | ~ p2(X1,X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).

fof(f125,plain,
    ( ~ p2(f5(c18),f6(c18))
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f123,f4]) ).

fof(f123,plain,
    ( ~ p2(c17,c17)
    | ~ p2(f5(c18),f6(c18))
    | ~ spl0_1 ),
    inference(resolution,[],[f118,f26]) ).

fof(f26,axiom,
    ! [X34,X35,X32,X33] :
      ( p3(f4(X32,X33),f4(X34,X35))
      | ~ p2(X32,X34)
      | ~ p2(X33,X35) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).

fof(f118,plain,
    ( ~ p3(f4(c17,f5(c18)),f4(c17,f6(c18)))
    | ~ spl0_1 ),
    inference(resolution,[],[f116,f12]) ).

fof(f12,axiom,
    ~ p11(c13,f4(c17,f6(c18))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_12) ).

fof(f116,plain,
    ( ! [X0] :
        ( p11(c13,X0)
        | ~ p3(f4(c17,f5(c18)),X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f61,f3]) ).

fof(f3,axiom,
    ! [X0] : p7(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).

fof(f61,plain,
    ( ! [X2,X3] :
        ( ~ p7(c13,X2)
        | p11(X2,X3)
        | ~ p3(f4(c17,f5(c18)),X3) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl0_1
  <=> ! [X2,X3] :
        ( ~ p7(c13,X2)
        | p11(X2,X3)
        | ~ p3(f4(c17,f5(c18)),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f110,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f109]) ).

fof(f109,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f107,f11]) ).

fof(f107,plain,
    ( ~ p12(c14,f4(c18,c17))
    | ~ spl0_2 ),
    inference(resolution,[],[f102,f22]) ).

fof(f102,plain,
    ( ~ p2(f6(c18),f5(c18))
    | ~ spl0_2 ),
    inference(resolution,[],[f99,f4]) ).

fof(f99,plain,
    ( ! [X0] :
        ( ~ p2(X0,f6(c18))
        | ~ p2(X0,f5(c18)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f96,f20]) ).

fof(f96,plain,
    ( ~ p2(f5(c18),f6(c18))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f94,f4]) ).

fof(f94,plain,
    ( ~ p2(f5(c18),f6(c18))
    | ~ p2(c17,c17)
    | ~ spl0_2 ),
    inference(resolution,[],[f71,f26]) ).

fof(f71,plain,
    ( ~ p3(f4(f5(c18),c17),f4(f6(c18),c17))
    | ~ spl0_2 ),
    inference(resolution,[],[f66,f13]) ).

fof(f13,axiom,
    ~ p11(c13,f4(f6(c18),c17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_13) ).

fof(f66,plain,
    ( ! [X0] :
        ( p11(c13,X0)
        | ~ p3(f4(f5(c18),c17),X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f64,f3]) ).

fof(f64,plain,
    ( ! [X0,X1] :
        ( ~ p7(c13,X0)
        | p11(X0,X1)
        | ~ p3(f4(f5(c18),c17),X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl0_2
  <=> ! [X0,X1] :
        ( ~ p7(c13,X0)
        | p11(X0,X1)
        | ~ p3(f4(f5(c18),c17),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f65,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f57,f63,f60]) ).

fof(f57,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p7(c13,X0)
      | ~ p3(f4(f5(c18),c17),X1)
      | p11(X0,X1)
      | ~ p7(c13,X2)
      | ~ p3(f4(c17,f5(c18)),X3)
      | p11(X2,X3) ),
    inference(resolution,[],[f45,f11]) ).

fof(f45,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p12(c14,f4(X0,c17))
      | ~ p7(c13,X1)
      | ~ p3(f4(f5(X0),c17),X2)
      | p11(X1,X2)
      | ~ p7(c13,X3)
      | ~ p3(f4(c17,f5(X0)),X4)
      | p11(X3,X4) ),
    inference(resolution,[],[f39,f25]) ).

fof(f25,axiom,
    ! [X31,X28,X29,X30] :
      ( ~ p11(X31,X30)
      | ~ p7(X31,X28)
      | ~ p3(X30,X29)
      | p11(X28,X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_25) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( p11(c13,f4(c17,f5(X0)))
      | ~ p12(c14,f4(X0,c17))
      | ~ p7(c13,X1)
      | ~ p3(f4(f5(X0),c17),X2)
      | p11(X1,X2) ),
    inference(resolution,[],[f27,f25]) ).

fof(f27,axiom,
    ! [X36] :
      ( p11(c13,f4(f5(X36),c17))
      | ~ p12(c14,f4(X36,c17))
      | p11(c13,f4(c17,f5(X36))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_27) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SYN591-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.13  % 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
% 0.14/0.33  % Computer : n020.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon May 20 15:05:53 EDT 2024
% 0.14/0.33  % CPUTime    : 
% 0.14/0.33  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.33  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/benchmark/theBenchmark.p
% 0.63/0.79  % (22099)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)
% 0.63/0.79  % (22096)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)
% 0.63/0.79  % (22100)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)
% 0.63/0.79  % (22098)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.63/0.79  % (22101)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)
% 0.63/0.79  % (22097)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)
% 0.63/0.79  % (22102)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)
% 0.63/0.79  % (22103)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)
% 0.63/0.80  % (22098)First to succeed.
% 0.63/0.80  % (22103)Also succeeded, but the first one will report.
% 0.63/0.80  % (22098)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22005"
% 0.63/0.80  % (22098)Refutation found. Thanks to Tanya!
% 0.63/0.80  % SZS status Unsatisfiable for theBenchmark
% 0.63/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.80  % (22098)------------------------------
% 0.63/0.80  % (22098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (22098)Termination reason: Refutation
% 0.63/0.80  
% 0.63/0.80  % (22098)Memory used [KB]: 1096
% 0.63/0.80  % (22098)Time elapsed: 0.009 s
% 0.63/0.80  % (22098)Instructions burned: 11 (million)
% 0.63/0.80  % (22005)Success in time 0.455 s
% 0.63/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------