TSTP Solution File: FLD033-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD033-3 : 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 : 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 : Sun May  5 05:06:43 EDT 2024

% Result   : Unsatisfiable 0.52s 0.75s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   27 (  17   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f106,plain,
    $false,
    inference(subsumption_resolution,[],[f105,f27]) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox2/tmp/tmp.ZPVtIF8s1m/Vampire---4.8_4215',a_is_defined) ).

fof(f105,plain,
    ~ defined(a),
    inference(subsumption_resolution,[],[f104,f29]) ).

fof(f29,axiom,
    ~ sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.ZPVtIF8s1m/Vampire---4.8_4215',not_sum_3) ).

fof(f104,plain,
    ( sum(additive_identity,a,additive_identity)
    | ~ defined(a) ),
    inference(resolution,[],[f96,f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( product(multiplicative_inverse(X0),X0,multiplicative_identity)
      | sum(additive_identity,X0,additive_identity)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZPVtIF8s1m/Vampire---4.8_4215',existence_of_inverse_multiplication) ).

fof(f96,plain,
    ! [X0] : ~ product(X0,a,multiplicative_identity),
    inference(resolution,[],[f88,f10]) ).

fof(f10,axiom,
    ! [X3,X0,X5] :
      ( product(X3,X0,X5)
      | ~ product(X0,X3,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZPVtIF8s1m/Vampire---4.8_4215',commutativity_multiplication) ).

fof(f88,plain,
    ! [X0] : ~ product(a,X0,multiplicative_identity),
    inference(duplicate_literal_removal,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ product(a,X0,multiplicative_identity)
      | ~ product(a,X0,multiplicative_identity) ),
    inference(resolution,[],[f44,f30]) ).

fof(f30,axiom,
    product(m,a,a),
    file('/export/starexec/sandbox2/tmp/tmp.ZPVtIF8s1m/Vampire---4.8_4215',product_4) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( ~ product(m,X0,X2)
      | ~ product(X0,X1,multiplicative_identity)
      | ~ product(X2,X1,multiplicative_identity) ),
    inference(resolution,[],[f6,f33]) ).

fof(f33,plain,
    ~ product(m,multiplicative_identity,multiplicative_identity),
    inference(resolution,[],[f10,f31]) ).

fof(f31,axiom,
    ~ product(multiplicative_identity,m,multiplicative_identity),
    file('/export/starexec/sandbox2/tmp/tmp.ZPVtIF8s1m/Vampire---4.8_4215',not_product_5) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( product(X0,X1,X2)
      | ~ product(X3,X5,X1)
      | ~ product(X0,X3,X4)
      | ~ product(X4,X5,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZPVtIF8s1m/Vampire---4.8_4215',associativity_multiplication_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : FLD033-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 19:48:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.36  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.ZPVtIF8s1m/Vampire---4.8_4215
% 0.52/0.75  % (4326)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)
% 0.52/0.75  % (4331)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)
% 0.52/0.75  % (4329)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)
% 0.52/0.75  % (4328)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.75  % (4332)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)
% 0.52/0.75  % (4330)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)
% 0.52/0.75  % (4333)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 (2996ds/56Mi)
% 0.52/0.75  % (4327)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)
% 0.52/0.75  % (4332)Refutation not found, incomplete strategy% (4332)------------------------------
% 0.52/0.75  % (4332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75  % (4332)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.75  
% 0.52/0.75  % (4332)Memory used [KB]: 1010
% 0.52/0.75  % (4332)Time elapsed: 0.005 s
% 0.52/0.75  % (4332)Instructions burned: 8 (million)
% 0.52/0.75  % (4332)------------------------------
% 0.52/0.75  % (4332)------------------------------
% 0.52/0.75  % (4328)First to succeed.
% 0.52/0.75  % (4328)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4325"
% 0.52/0.75  % (4328)Refutation found. Thanks to Tanya!
% 0.52/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.52/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.52/0.75  % (4328)------------------------------
% 0.52/0.75  % (4328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75  % (4328)Termination reason: Refutation
% 0.52/0.75  
% 0.52/0.75  % (4328)Memory used [KB]: 1073
% 0.52/0.75  % (4328)Time elapsed: 0.007 s
% 0.52/0.75  % (4328)Instructions burned: 11 (million)
% 0.52/0.75  % (4325)Success in time 0.375 s
% 0.52/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------