TSTP Solution File: GRP013-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP013-1 : 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 : n031.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 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  11 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  13   ~;   9   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f170,plain,
    $false,
    inference(subsumption_resolution,[],[f149,f47]) ).

fof(f47,plain,
    ~ sP0(b,identity,c,a),
    inference(unit_resulting_resolution,[],[f9,f10,f15]) ).

fof(f15,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sP0(X5,X4,X3,X1)
      | ~ product(X0,X1,X4)
      | ~ product(X0,X5,X3) ),
    inference(general_splitting,[],[f8,f14_D]) ).

fof(f14,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ product(X1,X2,X5)
      | product(X4,X2,X3)
      | sP0(X5,X4,X3,X1) ),
    inference(cnf_transformation,[],[f14_D]) ).

fof(f14_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(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.m2hLJ69PIC/Vampire---4.8_11212',associativity2) ).

fof(f10,axiom,
    product(a,b,c),
    file('/export/starexec/sandbox/tmp/tmp.m2hLJ69PIC/Vampire---4.8_11212',a_times_b_is_c) ).

fof(f9,axiom,
    ! [X6] : product(X6,X6,identity),
    file('/export/starexec/sandbox/tmp/tmp.m2hLJ69PIC/Vampire---4.8_11212',squareness) ).

fof(f149,plain,
    sP0(b,identity,c,a),
    inference(unit_resulting_resolution,[],[f110,f143,f14]) ).

fof(f143,plain,
    product(a,d,b),
    inference(unit_resulting_resolution,[],[f11,f12]) ).

fof(f12,axiom,
    ! [X8,X6,X7] :
      ( ~ product(inverse(X6),inverse(X7),X8)
      | product(X6,X8,X7) ),
    file('/export/starexec/sandbox/tmp/tmp.m2hLJ69PIC/Vampire---4.8_11212',inverses_have_property) ).

fof(f11,axiom,
    product(inverse(a),inverse(b),d),
    file('/export/starexec/sandbox/tmp/tmp.m2hLJ69PIC/Vampire---4.8_11212',inverse_a_times_inverse_b_is_d) ).

fof(f110,plain,
    ~ product(identity,d,c),
    inference(unit_resulting_resolution,[],[f1,f22,f15]) ).

fof(f22,plain,
    sP0(identity,c,identity,d),
    inference(unit_resulting_resolution,[],[f13,f9,f14]) ).

fof(f13,axiom,
    ~ product(c,d,identity),
    file('/export/starexec/sandbox/tmp/tmp.m2hLJ69PIC/Vampire---4.8_11212',prove_c_times_d_is_identity) ).

fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.m2hLJ69PIC/Vampire---4.8_11212',left_identity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GRP013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.15  % 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
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:57:14 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.36  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.m2hLJ69PIC/Vampire---4.8_11212
% 0.59/0.75  % (11462)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)
% 0.59/0.75  % (11456)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)
% 0.59/0.75  % (11458)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (11459)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)
% 0.59/0.75  % (11461)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)
% 0.59/0.75  % (11463)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)
% 0.59/0.75  % (11462)First to succeed.
% 0.59/0.75  % (11460)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)
% 0.59/0.75  % (11457)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)
% 0.59/0.76  % (11457)Also succeeded, but the first one will report.
% 0.59/0.76  % (11462)Refutation found. Thanks to Tanya!
% 0.59/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76  % (11462)------------------------------
% 0.59/0.76  % (11462)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (11462)Termination reason: Refutation
% 0.59/0.76  
% 0.59/0.76  % (11462)Memory used [KB]: 1015
% 0.59/0.76  % (11462)Time elapsed: 0.003 s
% 0.59/0.76  % (11462)Instructions burned: 6 (million)
% 0.59/0.76  % (11462)------------------------------
% 0.59/0.76  % (11462)------------------------------
% 0.59/0.76  % (11451)Success in time 0.386 s
% 0.59/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------