TSTP Solution File: GRP490-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP490-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n027.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 : Sun May  5 05:48:30 EDT 2024

% Result   : Unsatisfiable 0.73s 0.93s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f48,plain,
    $false,
    inference(subsumption_resolution,[],[f47,f8]) ).

fof(f8,plain,
    identity != double_divide(identity,identity),
    inference(backward_demodulation,[],[f6,f7]) ).

fof(f7,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

fof(f3,axiom,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    file('/export/starexec/sandbox2/tmp/tmp.c6GrdUmNPE/Vampire---4.8_1537',inverse) ).

fof(f4,axiom,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.c6GrdUmNPE/Vampire---4.8_1537',identity) ).

fof(f6,plain,
    identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
    inference(definition_unfolding,[],[f5,f2,f3]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    file('/export/starexec/sandbox2/tmp/tmp.c6GrdUmNPE/Vampire---4.8_1537',multiply) ).

fof(f5,axiom,
    identity != multiply(inverse(a1),a1),
    file('/export/starexec/sandbox2/tmp/tmp.c6GrdUmNPE/Vampire---4.8_1537',prove_these_axioms_1) ).

fof(f47,plain,
    identity = double_divide(identity,identity),
    inference(backward_demodulation,[],[f41,f45]) ).

fof(f45,plain,
    identity = double_divide(double_divide(identity,identity),identity),
    inference(backward_demodulation,[],[f18,f41]) ).

fof(f18,plain,
    identity = double_divide(double_divide(double_divide(identity,identity),identity),identity),
    inference(forward_demodulation,[],[f15,f7]) ).

fof(f15,plain,
    double_divide(identity,double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,identity),identity),identity),
    inference(superposition,[],[f14,f7]) ).

fof(f14,plain,
    ! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(identity,X0),double_divide(identity,identity)),
    inference(superposition,[],[f1,f7]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.c6GrdUmNPE/Vampire---4.8_1537',single_axiom) ).

fof(f41,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
    inference(forward_demodulation,[],[f32,f7]) ).

fof(f32,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(identity,double_divide(identity,double_divide(identity,identity))),
    inference(superposition,[],[f9,f18]) ).

fof(f9,plain,
    ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),X0),identity),double_divide(X1,X0)))) = X1,
    inference(superposition,[],[f1,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : GRP490-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.15  % 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
% 0.15/0.36  % Computer : n027.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   : Fri May  3 20:53:08 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.37  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.c6GrdUmNPE/Vampire---4.8_1537
% 0.73/0.92  % (1712)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)
% 0.73/0.92  % (1714)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.73/0.92  % (1716)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)
% 0.73/0.92  % (1717)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)
% 0.73/0.92  % (1720)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)
% 0.73/0.92  % (1721)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)
% 0.73/0.92  % (1722)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)
% 0.73/0.92  % (1717)Refutation not found, incomplete strategy% (1717)------------------------------
% 0.73/0.92  % (1717)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92  % (1716)Refutation not found, incomplete strategy% (1716)------------------------------
% 0.73/0.92  % (1716)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92  % (1716)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.92  
% 0.73/0.92  % (1716)Memory used [KB]: 957
% 0.73/0.92  % (1716)Time elapsed: 0.001 s
% 0.73/0.92  % (1716)Instructions burned: 2 (million)
% 0.73/0.92  % (1712)Refutation not found, incomplete strategy% (1712)------------------------------
% 0.73/0.92  % (1712)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92  % (1712)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.92  
% 0.73/0.92  % (1712)Memory used [KB]: 964
% 0.73/0.92  % (1712)Time elapsed: 0.001 s
% 0.73/0.92  % (1712)Instructions burned: 2 (million)
% 0.73/0.92  % (1717)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.92  % (1720)Refutation not found, incomplete strategy% (1720)------------------------------
% 0.73/0.92  % (1720)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92  % (1720)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.92  
% 0.73/0.92  % (1720)Memory used [KB]: 949
% 0.73/0.92  % (1720)Time elapsed: 0.001 s
% 0.73/0.92  % (1720)Instructions burned: 2 (million)
% 0.73/0.92  
% 0.73/0.92  % (1722)Refutation not found, incomplete strategy% (1722)------------------------------
% 0.73/0.92  % (1722)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92  % (1722)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.92  
% 0.73/0.92  % (1722)Memory used [KB]: 949
% 0.73/0.92  % (1722)Time elapsed: 0.001 s
% 0.73/0.92  % (1722)Instructions burned: 2 (million)
% 0.73/0.92  % (1717)Memory used [KB]: 962
% 0.73/0.92  % (1717)Time elapsed: 0.001 s
% 0.73/0.92  % (1717)Instructions burned: 2 (million)
% 0.73/0.92  % (1721)Refutation not found, incomplete strategy% (1721)------------------------------
% 0.73/0.92  % (1721)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92  % (1716)------------------------------
% 0.73/0.92  % (1716)------------------------------
% 0.73/0.92  % (1712)------------------------------
% 0.73/0.92  % (1712)------------------------------
% 0.73/0.92  % (1720)------------------------------
% 0.73/0.92  % (1720)------------------------------
% 0.73/0.92  % (1721)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.92  
% 0.73/0.92  % (1721)Memory used [KB]: 949
% 0.73/0.92  % (1721)Time elapsed: 0.001 s
% 0.73/0.92  % (1721)Instructions burned: 2 (million)
% 0.73/0.92  % (1722)------------------------------
% 0.73/0.92  % (1722)------------------------------
% 0.73/0.92  % (1717)------------------------------
% 0.73/0.92  % (1717)------------------------------
% 0.73/0.93  % (1721)------------------------------
% 0.73/0.93  % (1721)------------------------------
% 0.73/0.93  % (1713)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)
% 0.73/0.93  % (1714)First to succeed.
% 0.73/0.93  % (1714)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1711"
% 0.73/0.93  % (1714)Refutation found. Thanks to Tanya!
% 0.73/0.93  % SZS status Unsatisfiable for Vampire---4
% 0.73/0.93  % SZS output start Proof for Vampire---4
% See solution above
% 0.73/0.93  % (1714)------------------------------
% 0.73/0.93  % (1714)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.93  % (1714)Termination reason: Refutation
% 0.73/0.93  
% 0.73/0.93  % (1714)Memory used [KB]: 1051
% 0.73/0.93  % (1714)Time elapsed: 0.003 s
% 0.73/0.93  % (1714)Instructions burned: 7 (million)
% 0.73/0.93  % (1711)Success in time 0.552 s
% 0.73/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------