TSTP Solution File: GRP010-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP010-1 : 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 : n026.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 02:25:50 EDT 2024

% Result   : Unsatisfiable 0.69s 0.92s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   28 (  16   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f45,plain,
    $false,
    inference(resolution,[],[f44,f3]) ).

fof(f3,axiom,
    ! [X0] : product(inverse(X0),X0,identity),
    file('/export/starexec/sandbox/tmp/tmp.gAsB2YWCVb/Vampire---4.8_1666',left_inverse) ).

fof(f44,plain,
    ! [X0] : ~ product(X0,a,identity),
    inference(subsumption_resolution,[],[f38,f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ product(X0,a,identity)
      | ~ product(X0,identity,b) ),
    inference(resolution,[],[f15,f1]) ).

fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.gAsB2YWCVb/Vampire---4.8_1666',left_identity) ).

fof(f15,plain,
    ! [X2,X0,X1] :
      ( ~ product(X2,a,X1)
      | ~ product(X0,X1,identity)
      | ~ product(X0,X2,b) ),
    inference(resolution,[],[f10,f8]) ).

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.gAsB2YWCVb/Vampire---4.8_1666',associativity2) ).

fof(f10,axiom,
    ~ product(b,a,identity),
    file('/export/starexec/sandbox/tmp/tmp.gAsB2YWCVb/Vampire---4.8_1666',prove_b_multiply_a_is_identity) ).

fof(f38,plain,
    ! [X0] :
      ( product(X0,identity,b)
      | ~ product(X0,a,identity) ),
    inference(resolution,[],[f18,f1]) ).

fof(f18,plain,
    ! [X2,X0,X1] :
      ( ~ product(X2,b,X1)
      | product(X0,identity,X1)
      | ~ product(X0,a,X2) ),
    inference(resolution,[],[f9,f7]) ).

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.gAsB2YWCVb/Vampire---4.8_1666',associativity1) ).

fof(f9,axiom,
    product(a,b,identity),
    file('/export/starexec/sandbox/tmp/tmp.gAsB2YWCVb/Vampire---4.8_1666',a_multiply_b_is_identity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n026.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   : Tue Apr 30 18:47:49 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.36  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.gAsB2YWCVb/Vampire---4.8_1666
% 0.69/0.92  % (1996)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.69/0.92  % (1995)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 (2994ds/34Mi)
% 0.69/0.92  % (1997)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 (2994ds/83Mi)
% 0.69/0.92  % (1994)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.69/0.92  % (1992)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 (2994ds/51Mi)
% 0.69/0.92  % (1998)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 (2994ds/56Mi)
% 0.69/0.92  % (1993)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.69/0.92  % (1991)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 (2994ds/34Mi)
% 0.69/0.92  % (1995)First to succeed.
% 0.69/0.92  % (1993)Also succeeded, but the first one will report.
% 0.69/0.92  % (1995)Refutation found. Thanks to Tanya!
% 0.69/0.92  % SZS status Unsatisfiable for Vampire---4
% 0.69/0.92  % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.92  % (1995)------------------------------
% 0.69/0.92  % (1995)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.92  % (1995)Termination reason: Refutation
% 0.69/0.92  
% 0.69/0.92  % (1995)Memory used [KB]: 989
% 0.69/0.92  % (1995)Time elapsed: 0.004 s
% 0.69/0.92  % (1995)Instructions burned: 4 (million)
% 0.69/0.92  % (1995)------------------------------
% 0.69/0.92  % (1995)------------------------------
% 0.69/0.93  % (1920)Success in time 0.556 s
% 0.69/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------