TSTP Solution File: FLD032-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD032-3 : 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 : n016.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 : Wed May  1 02:19:46 EDT 2024

% Result   : Unsatisfiable 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  15   ~;  12   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f127,plain,
    $false,
    inference(subsumption_resolution,[],[f116,f101]) ).

fof(f101,plain,
    sP6(a,multiplicative_identity,multiplicative_inverse(a),a),
    inference(unit_resulting_resolution,[],[f30,f49,f43]) ).

fof(f43,plain,
    ! [X2,X0,X1,X4,X5] :
      ( ~ product(X0,X1,X2)
      | product(X4,X5,X2)
      | sP6(X5,X4,X0,X1) ),
    inference(cnf_transformation,[],[f43_D]) ).

fof(f43_D,plain,
    ! [X1,X0,X4,X5] :
      ( ! [X2] :
          ( ~ product(X0,X1,X2)
          | product(X4,X5,X2) )
    <=> ~ sP6(X5,X4,X0,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f49,plain,
    product(multiplicative_inverse(a),a,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f27,f28,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.fVmB5tvkHd/Vampire---4.8_4940',existence_of_inverse_multiplication) ).

fof(f28,axiom,
    ~ sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.fVmB5tvkHd/Vampire---4.8_4940',not_sum_2) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox2/tmp/tmp.fVmB5tvkHd/Vampire---4.8_4940',a_is_defined) ).

fof(f30,axiom,
    ~ product(multiplicative_identity,a,multiplicative_identity),
    file('/export/starexec/sandbox2/tmp/tmp.fVmB5tvkHd/Vampire---4.8_4940',not_product_4) ).

fof(f116,plain,
    ~ sP6(a,multiplicative_identity,multiplicative_inverse(a),a),
    inference(unit_resulting_resolution,[],[f47,f88,f44]) ).

fof(f44,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sP6(X5,X4,X0,X1)
      | ~ product(X0,X3,X4)
      | ~ product(X3,X5,X1) ),
    inference(general_splitting,[],[f7,f43_D]) ).

fof(f7,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.fVmB5tvkHd/Vampire---4.8_4940',associativity_multiplication_2) ).

fof(f88,plain,
    product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f29,f10]) ).

fof(f10,axiom,
    ! [X3,X0,X5] :
      ( ~ product(X0,X3,X5)
      | product(X3,X0,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.fVmB5tvkHd/Vampire---4.8_4940',commutativity_multiplication) ).

fof(f29,axiom,
    product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
    file('/export/starexec/sandbox2/tmp/tmp.fVmB5tvkHd/Vampire---4.8_4940',product_3) ).

fof(f47,plain,
    product(multiplicative_identity,a,a),
    inference(unit_resulting_resolution,[],[f27,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( product(multiplicative_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.fVmB5tvkHd/Vampire---4.8_4940',existence_of_identity_multiplication) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : FLD032-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.12  % 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
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 18:39:11 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.11/0.33  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.fVmB5tvkHd/Vampire---4.8_4940
% 0.60/0.79  % (5052)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)
% 0.60/0.79  % (5051)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (5053)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)
% 0.60/0.79  % (5049)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)
% 0.60/0.79  % (5056)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)
% 0.60/0.79  % (5055)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)
% 0.60/0.79  % (5054)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)
% 0.60/0.79  % (5050)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)
% 0.60/0.79  % (5055)First to succeed.
% 0.60/0.79  % (5052)Also succeeded, but the first one will report.
% 0.60/0.79  % (5051)Also succeeded, but the first one will report.
% 0.60/0.80  % (5055)Refutation found. Thanks to Tanya!
% 0.60/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (5055)------------------------------
% 0.60/0.80  % (5055)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (5055)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (5055)Memory used [KB]: 1016
% 0.60/0.80  % (5055)Time elapsed: 0.005 s
% 0.60/0.80  % (5055)Instructions burned: 6 (million)
% 0.60/0.80  % (5055)------------------------------
% 0.60/0.80  % (5055)------------------------------
% 0.60/0.80  % (5048)Success in time 0.465 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------