%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD013-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n004.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 05:06:35 EDT 2024

% Result   : Unsatisfiable 0.75s 0.93s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   33 (   9 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   89 (  49   ~;  38   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f427,plain,
    $false,
    inference(avatar_sat_refutation,[],[f418,f422,f426]) ).

fof(f426,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f425]) ).

fof(f425,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f423,f34]) ).

fof(f34,axiom,
    equalish(c,d),
    file('/export/starexec/sandbox2/tmp/tmp.qyh9vcGbI1/Vampire---4.8_18943',c_equals_d_7) ).

fof(f423,plain,
    ( ~ equalish(c,d)
    | spl0_2 ),
    inference(resolution,[],[f417,f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ equalish(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.qyh9vcGbI1/Vampire---4.8_18943',symmetry_of_equality) ).

fof(f417,plain,
    ( ~ equalish(d,c)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f415,plain,
    ( spl0_2
  <=> equalish(d,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f422,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f421]) ).

fof(f421,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f419,f33]) ).

fof(f33,axiom,
    equalish(a,b),
    file('/export/starexec/sandbox2/tmp/tmp.qyh9vcGbI1/Vampire---4.8_18943',a_equals_b_6) ).

fof(f419,plain,
    ( ~ equalish(a,b)
    | spl0_1 ),
    inference(resolution,[],[f413,f22]) ).

fof(f413,plain,
    ( ~ equalish(b,a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f411,plain,
    ( spl0_1
  <=> equalish(b,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f418,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f409,f415,f411]) ).

fof(f409,plain,
    ( ~ equalish(d,c)
    | ~ equalish(b,a) ),
    inference(subsumption_resolution,[],[f406,f30]) ).

fof(f30,axiom,
    defined(c),
    file('/export/starexec/sandbox2/tmp/tmp.qyh9vcGbI1/Vampire---4.8_18943',c_is_defined) ).

fof(f406,plain,
    ( ~ equalish(d,c)
    | ~ defined(c)
    | ~ equalish(b,a) ),
    inference(resolution,[],[f382,f35]) ).

fof(f35,axiom,
    equalish(add(a,c),u),
    file('/export/starexec/sandbox2/tmp/tmp.qyh9vcGbI1/Vampire---4.8_18943',add_equals_u_8) ).

fof(f382,plain,
    ! [X0,X1] :
      ( ~ equalish(add(X1,X0),u)
      | ~ equalish(d,X0)
      | ~ defined(X0)
      | ~ equalish(b,X1) ),
    inference(duplicate_literal_removal,[],[f375]) ).

fof(f375,plain,
    ! [X0,X1] :
      ( ~ defined(X0)
      | ~ equalish(d,X0)
      | ~ equalish(add(X1,X0),u)
      | ~ defined(X0)
      | ~ equalish(b,X1) ),
    inference(resolution,[],[f133,f24]) ).

fof(f24,axiom,
    ! [X2,X0,X1] :
      ( equalish(add(X0,X2),add(X1,X2))
      | ~ defined(X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qyh9vcGbI1/Vampire---4.8_18943',compatibility_of_equality_and_addition) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ equalish(add(b,X0),X1)
      | ~ defined(X0)
      | ~ equalish(d,X0)
      | ~ equalish(X1,u) ),
    inference(resolution,[],[f131,f23]) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( equalish(X0,X2)
      | ~ equalish(X0,X1)
      | ~ equalish(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.qyh9vcGbI1/Vampire---4.8_18943',transitivity_of_equality) ).

fof(f131,plain,
    ! [X0] :
      ( ~ equalish(add(b,X0),u)
      | ~ equalish(d,X0)
      | ~ defined(X0) ),
    inference(subsumption_resolution,[],[f126,f29]) ).

fof(f29,axiom,
    defined(b),
    file('/export/starexec/sandbox2/tmp/tmp.qyh9vcGbI1/Vampire---4.8_18943',b_is_defined) ).

fof(f126,plain,
    ! [X0] :
      ( ~ equalish(d,X0)
      | ~ equalish(add(b,X0),u)
      | ~ defined(X0)
      | ~ defined(b) ),
    inference(resolution,[],[f66,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( equalish(add(X0,X1),add(X1,X0))
      | ~ defined(X0)
      | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qyh9vcGbI1/Vampire---4.8_18943',commutativity_addition) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ equalish(add(X0,b),X1)
      | ~ equalish(d,X0)
      | ~ equalish(X1,u) ),
    inference(resolution,[],[f46,f23]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ equalish(add(X0,b),u)
      | ~ equalish(d,X0) ),
    inference(subsumption_resolution,[],[f41,f29]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ equalish(add(X0,b),u)
      | ~ defined(b)
      | ~ equalish(d,X0) ),
    inference(resolution,[],[f38,f24]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ equalish(add(d,b),X0)
      | ~ equalish(X0,u) ),
    inference(resolution,[],[f36,f23]) ).

fof(f36,axiom,
    ~ equalish(add(d,b),u),
    file('/export/starexec/sandbox2/tmp/tmp.qyh9vcGbI1/Vampire---4.8_18943',add_not_equal_to_u_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : FLD013-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.15  % 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
% 0.16/0.36  % Computer : n004.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 19:44:53 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.16/0.37  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/tmp/tmp.qyh9vcGbI1/Vampire---4.8_18943
% 0.72/0.92  % (19171)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.72/0.92  % (19168)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 (2994ds/34Mi)
% 0.72/0.92  % (19170)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.72/0.92  % (19169)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 (2994ds/51Mi)
% 0.72/0.92  % (19172)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 (2994ds/34Mi)
% 0.72/0.92  % (19173)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.72/0.92  % (19174)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 (2994ds/83Mi)
% 0.72/0.92  % (19175)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 (2994ds/56Mi)
% 0.75/0.93  % (19173)First to succeed.
% 0.75/0.93  % (19170)Also succeeded, but the first one will report.
% 0.75/0.93  % (19173)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19113"
% 0.75/0.93  % (19173)Refutation found. Thanks to Tanya!
% 0.75/0.93  % SZS status Unsatisfiable for Vampire---4
% 0.75/0.93  % SZS output start Proof for Vampire---4
% See solution above
% 0.75/0.93  % (19173)------------------------------
% 0.75/0.93  % (19173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.93  % (19173)Termination reason: Refutation
% 0.75/0.93  
% 0.75/0.93  % (19173)Memory used [KB]: 1108
% 0.75/0.93  % (19173)Time elapsed: 0.014 s
% 0.75/0.93  % (19173)Instructions burned: 22 (million)
% 0.75/0.93  % (19113)Success in time 0.553 s
% 0.75/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------