TSTP Solution File: FLD013-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD013-3 : 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 : 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 05:06:35 EDT 2024

% Result   : Unsatisfiable 0.59s 0.80s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   55 (  34   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f177,plain,
    $false,
    inference(subsumption_resolution,[],[f173,f27]) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox2/tmp/tmp.FFKuDA3jsg/Vampire---4.8_14511',a_is_defined) ).

fof(f173,plain,
    ~ defined(a),
    inference(resolution,[],[f172,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.FFKuDA3jsg/Vampire---4.8_14511',existence_of_identity_addition) ).

fof(f172,plain,
    ~ sum(additive_identity,a,a),
    inference(subsumption_resolution,[],[f168,f14]) ).

fof(f14,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.FFKuDA3jsg/Vampire---4.8_14511',well_definedness_of_additive_identity) ).

fof(f168,plain,
    ( ~ sum(additive_identity,a,a)
    | ~ defined(additive_identity) ),
    inference(resolution,[],[f121,f31]) ).

fof(f31,axiom,
    sum(additive_identity,a,b),
    file('/export/starexec/sandbox2/tmp/tmp.FFKuDA3jsg/Vampire---4.8_14511',sum_5) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ sum(X0,X1,b)
      | ~ sum(X0,X1,a)
      | ~ defined(X0) ),
    inference(resolution,[],[f109,f3]) ).

fof(f109,plain,
    ! [X2,X0,X1] :
      ( ~ sum(additive_identity,X0,X2)
      | ~ sum(X0,X1,b)
      | ~ sum(X2,X1,a) ),
    inference(resolution,[],[f105,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ sum(X3,X5,X1)
      | ~ sum(X0,X3,X4)
      | ~ sum(X4,X5,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.FFKuDA3jsg/Vampire---4.8_14511',associativity_addition_1) ).

fof(f105,plain,
    ~ sum(additive_identity,b,a),
    inference(resolution,[],[f104,f32]) ).

fof(f32,axiom,
    sum(additive_identity,c,d),
    file('/export/starexec/sandbox2/tmp/tmp.FFKuDA3jsg/Vampire---4.8_14511',sum_6) ).

fof(f104,plain,
    ! [X0] :
      ( ~ sum(X0,c,d)
      | ~ sum(X0,b,a) ),
    inference(resolution,[],[f101,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X5] :
      ( sum(X3,X0,X5)
      | ~ sum(X0,X3,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.FFKuDA3jsg/Vampire---4.8_14511',commutativity_addition) ).

fof(f101,plain,
    ! [X0] :
      ( ~ sum(c,X0,d)
      | ~ sum(X0,b,a) ),
    inference(subsumption_resolution,[],[f100,f28]) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox2/tmp/tmp.FFKuDA3jsg/Vampire---4.8_14511',b_is_defined) ).

fof(f100,plain,
    ! [X0] :
      ( ~ sum(c,X0,d)
      | ~ sum(X0,b,a)
      | ~ defined(b) ),
    inference(subsumption_resolution,[],[f95,f30]) ).

fof(f30,axiom,
    defined(d),
    file('/export/starexec/sandbox2/tmp/tmp.FFKuDA3jsg/Vampire---4.8_14511',d_is_defined) ).

fof(f95,plain,
    ! [X0] :
      ( ~ sum(c,X0,d)
      | ~ sum(X0,b,a)
      | ~ defined(d)
      | ~ defined(b) ),
    inference(resolution,[],[f37,f19]) ).

fof(f19,axiom,
    ! [X3,X0] :
      ( sum(X0,X3,add(X0,X3))
      | ~ defined(X0)
      | ~ defined(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.FFKuDA3jsg/Vampire---4.8_14511',totality_of_addition) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X2,X1,add(d,b))
      | ~ sum(c,X0,X2)
      | ~ sum(X0,X1,a) ),
    inference(resolution,[],[f36,f1]) ).

fof(f36,plain,
    ~ sum(c,a,add(d,b)),
    inference(resolution,[],[f33,f5]) ).

fof(f33,axiom,
    ~ sum(a,c,add(d,b)),
    file('/export/starexec/sandbox2/tmp/tmp.FFKuDA3jsg/Vampire---4.8_14511',not_sum_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : FLD013-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12  % 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
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 19:49:38 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.17/0.33  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.FFKuDA3jsg/Vampire---4.8_14511
% 0.59/0.79  % (14626)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.79  % (14627)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.79  % (14625)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 (2995ds/51Mi)
% 0.59/0.79  % (14623)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 (2995ds/34Mi)
% 0.59/0.79  % (14628)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 (2995ds/34Mi)
% 0.59/0.79  % (14629)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.79  % (14630)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 (2995ds/83Mi)
% 0.59/0.79  % (14632)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 (2995ds/56Mi)
% 0.59/0.80  % (14629)First to succeed.
% 0.59/0.80  % (14629)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14622"
% 0.59/0.80  % (14629)Refutation found. Thanks to Tanya!
% 0.59/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80  % (14629)------------------------------
% 0.59/0.80  % (14629)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (14629)Termination reason: Refutation
% 0.59/0.80  
% 0.59/0.80  % (14629)Memory used [KB]: 1086
% 0.59/0.80  % (14629)Time elapsed: 0.009 s
% 0.59/0.80  % (14629)Instructions burned: 15 (million)
% 0.59/0.80  % (14622)Success in time 0.457 s
% 0.59/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------