TSTP Solution File: GRP003-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP003-2 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 : Mon May 20 21:05:08 EDT 2024

% Result   : Unsatisfiable 0.69s 0.87s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   31 (  19   ~;  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    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f126,plain,
    $false,
    inference(resolution,[],[f117,f2]) ).

fof(f2,axiom,
    ! [X0] : product(inverse(X0),X0,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f117,plain,
    ! [X0] : ~ product(X0,a,identity),
    inference(resolution,[],[f71,f1]) ).

fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ product(identity,X1,a)
      | ~ product(X0,X1,identity) ),
    inference(resolution,[],[f26,f2]) ).

fof(f26,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X2,X0)
      | ~ product(X2,X1,identity)
      | ~ product(X0,X1,a) ),
    inference(resolution,[],[f21,f5]) ).

fof(f5,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/sandbox2/benchmark/theBenchmark.p',associativity1) ).

fof(f21,plain,
    ! [X0] : ~ product(X0,identity,a),
    inference(duplicate_literal_removal,[],[f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ product(X0,identity,a)
      | ~ product(X0,identity,a) ),
    inference(resolution,[],[f14,f1]) ).

fof(f14,plain,
    ! [X2,X0,X1] :
      ( ~ product(X2,identity,X1)
      | ~ product(X0,X1,a)
      | ~ product(X0,X2,a) ),
    inference(resolution,[],[f6,f8]) ).

fof(f8,axiom,
    ~ product(a,identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_identity) ).

fof(f6,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/sandbox2/benchmark/theBenchmark.p',associativity2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GRP003-2 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.13  % 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
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun May 19 05:52:53 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.35  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.12/0.35  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/benchmark/theBenchmark.p
% 0.69/0.86  % (26000)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.69/0.86  % (25998)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.69/0.86  % (25997)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.69/0.86  % (25999)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 theBenchmark for (2994ds/34Mi)
% 0.69/0.86  % (25995)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 theBenchmark for (2994ds/34Mi)
% 0.69/0.86  % (25996)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 theBenchmark for (2994ds/51Mi)
% 0.69/0.86  % (26001)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 theBenchmark for (2994ds/83Mi)
% 0.69/0.86  % (26002)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.69/0.86  % (26001)Refutation not found, incomplete strategy% (26001)------------------------------
% 0.69/0.86  % (26001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.86  % (26001)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.86  
% 0.69/0.86  % (26001)Memory used [KB]: 983
% 0.69/0.86  % (26001)Time elapsed: 0.003 s
% 0.69/0.86  % (26001)Instructions burned: 3 (million)
% 0.69/0.86  % (26001)------------------------------
% 0.69/0.86  % (26001)------------------------------
% 0.69/0.87  % (26003)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.69/0.87  % (26003)Refutation not found, incomplete strategy% (26003)------------------------------
% 0.69/0.87  % (26003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.87  % (26003)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.87  
% 0.69/0.87  % (26003)Memory used [KB]: 978
% 0.69/0.87  % (26003)Time elapsed: 0.003 s
% 0.69/0.87  % (26003)Instructions burned: 2 (million)
% 0.69/0.87  % (26003)------------------------------
% 0.69/0.87  % (26003)------------------------------
% 0.69/0.87  % (25995)First to succeed.
% 0.69/0.87  % (25995)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25994"
% 0.69/0.87  % (25999)Also succeeded, but the first one will report.
% 0.69/0.87  % (25995)Refutation found. Thanks to Tanya!
% 0.69/0.87  % SZS status Unsatisfiable for theBenchmark
% 0.69/0.87  % SZS output start Proof for theBenchmark
% See solution above
% 0.69/0.87  % (25995)------------------------------
% 0.69/0.87  % (25995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.87  % (25995)Termination reason: Refutation
% 0.69/0.87  
% 0.69/0.87  % (25995)Memory used [KB]: 1089
% 0.69/0.87  % (25995)Time elapsed: 0.011 s
% 0.69/0.87  % (25995)Instructions burned: 16 (million)
% 0.69/0.87  % (25994)Success in time 0.518 s
% 0.69/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------