TSTP Solution File: GRP012-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP012-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : 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 : Wed May  1 02:25:51 EDT 2024

% Result   : Unsatisfiable 0.61s 0.79s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   40 (  22   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f105,plain,
    $false,
    inference(subsumption_resolution,[],[f102,f52]) ).

fof(f52,plain,
    sP1(identity,a,d,inverse(b)),
    inference(unit_resulting_resolution,[],[f4,f10,f14]) ).

fof(f14,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ product(X1,X2,X5)
      | ~ product(X4,X2,X3)
      | sP1(X3,X4,X5,X1) ),
    inference(cnf_transformation,[],[f14_D]) ).

fof(f14_D,plain,
    ! [X1,X5,X4,X3] :
      ( ! [X2] :
          ( ~ product(X1,X2,X5)
          | ~ product(X4,X2,X3) )
    <=> ~ sP1(X3,X4,X5,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f10,axiom,
    product(inverse(b),inverse(a),d),
    file('/export/starexec/sandbox/tmp/tmp.fM8pLRvCIH/Vampire---4.8_29200',inverse_b_multiply_inverse_a_is_d) ).

fof(f4,axiom,
    ! [X0] : product(X0,inverse(X0),identity),
    file('/export/starexec/sandbox/tmp/tmp.fM8pLRvCIH/Vampire---4.8_29200',right_inverse) ).

fof(f102,plain,
    ~ sP1(identity,a,d,inverse(b)),
    inference(unit_resulting_resolution,[],[f11,f58,f15]) ).

fof(f15,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sP1(X3,X4,X5,X1)
      | ~ product(X0,X1,X4)
      | product(X0,X5,X3) ),
    inference(general_splitting,[],[f7,f14_D]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( product(X0,X5,X3)
      | ~ product(X4,X2,X3)
      | ~ product(X1,X2,X5)
      | ~ product(X0,X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.fM8pLRvCIH/Vampire---4.8_29200',associativity1) ).

fof(f58,plain,
    product(c,inverse(b),a),
    inference(unit_resulting_resolution,[],[f4,f24,f12]) ).

fof(f12,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ product(X1,X2,X5)
      | product(X4,X2,X3)
      | sP0(X5,X4,X3,X1) ),
    inference(cnf_transformation,[],[f12_D]) ).

fof(f12_D,plain,
    ! [X1,X3,X4,X5] :
      ( ! [X2] :
          ( ~ product(X1,X2,X5)
          | product(X4,X2,X3) )
    <=> ~ sP0(X5,X4,X3,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f24,plain,
    ~ sP0(identity,c,a,b),
    inference(unit_resulting_resolution,[],[f2,f9,f13]) ).

fof(f13,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sP0(X5,X4,X3,X1)
      | ~ product(X0,X1,X4)
      | ~ product(X0,X5,X3) ),
    inference(general_splitting,[],[f8,f12_D]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( product(X4,X2,X3)
      | ~ product(X0,X5,X3)
      | ~ product(X1,X2,X5)
      | ~ product(X0,X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.fM8pLRvCIH/Vampire---4.8_29200',associativity2) ).

fof(f9,axiom,
    product(a,b,c),
    file('/export/starexec/sandbox/tmp/tmp.fM8pLRvCIH/Vampire---4.8_29200',a_multiply_b_is_c) ).

fof(f2,axiom,
    ! [X0] : product(X0,identity,X0),
    file('/export/starexec/sandbox/tmp/tmp.fM8pLRvCIH/Vampire---4.8_29200',right_identity) ).

fof(f11,axiom,
    ~ product(c,d,identity),
    file('/export/starexec/sandbox/tmp/tmp.fM8pLRvCIH/Vampire---4.8_29200',prove_c_multiply_d_is_identity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GRP012-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10  % 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
% 0.10/0.30  % Computer : n004.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 18:20:48 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.10/0.31  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/tmp/tmp.fM8pLRvCIH/Vampire---4.8_29200
% 0.61/0.78  % (29311)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)
% 0.61/0.78  % (29314)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)
% 0.61/0.78  % (29315)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)
% 0.61/0.78  % (29312)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78  % (29310)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)
% 0.61/0.78  % (29317)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)
% 0.61/0.78  % (29316)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)
% 0.61/0.78  % (29313)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)
% 0.61/0.79  % (29316)First to succeed.
% 0.61/0.79  % (29313)Also succeeded, but the first one will report.
% 0.61/0.79  % (29316)Refutation found. Thanks to Tanya!
% 0.61/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79  % (29316)------------------------------
% 0.61/0.79  % (29316)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (29316)Termination reason: Refutation
% 0.61/0.79  
% 0.61/0.79  % (29316)Memory used [KB]: 1000
% 0.61/0.79  % (29316)Time elapsed: 0.004 s
% 0.61/0.79  % (29316)Instructions burned: 5 (million)
% 0.61/0.79  % (29316)------------------------------
% 0.61/0.79  % (29316)------------------------------
% 0.61/0.79  % (29309)Success in time 0.475 s
% 0.61/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------