TSTP Solution File: GRP487-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP487-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   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   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f89,plain,
    $false,
    inference(trivial_inequality_removal,[],[f74]) ).

fof(f74,plain,
    identity != identity,
    inference(superposition,[],[f8,f68]) ).

fof(f68,plain,
    identity = double_divide(identity,identity),
    inference(forward_demodulation,[],[f57,f13]) ).

fof(f13,plain,
    identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
    inference(superposition,[],[f11,f6]) ).

fof(f6,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

fof(f3,axiom,
    ! [X0] : double_divide(X0,identity) = inverse(X0),
    file('/export/starexec/sandbox/tmp/tmp.4xLZQvq6lP/Vampire---4.8_15481',inverse) ).

fof(f4,axiom,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    file('/export/starexec/sandbox/tmp/tmp.4xLZQvq6lP/Vampire---4.8_15481',identity) ).

fof(f11,plain,
    ! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity)),
    inference(superposition,[],[f1,f6]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = X2,
    file('/export/starexec/sandbox/tmp/tmp.4xLZQvq6lP/Vampire---4.8_15481',single_axiom) ).

fof(f57,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
    inference(superposition,[],[f55,f36]) ).

fof(f36,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
    inference(superposition,[],[f19,f6]) ).

fof(f19,plain,
    ! [X0] : double_divide(X0,identity) = double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity),
    inference(forward_demodulation,[],[f17,f9]) ).

fof(f9,plain,
    ! [X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),X0),identity)),
    inference(superposition,[],[f1,f6]) ).

fof(f17,plain,
    ! [X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),X0),identity)) = double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity),
    inference(superposition,[],[f1,f11]) ).

fof(f55,plain,
    ! [X1] : double_divide(double_divide(identity,identity),double_divide(X1,identity)) = X1,
    inference(forward_demodulation,[],[f50,f44]) ).

fof(f44,plain,
    ! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0),identity),
    inference(forward_demodulation,[],[f37,f36]) ).

fof(f37,plain,
    ! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),double_divide(X0,X1))),X0),identity),
    inference(superposition,[],[f19,f1]) ).

fof(f50,plain,
    ! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0),identity)) = X1,
    inference(superposition,[],[f1,f36]) ).

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

fof(f7,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/sandbox/tmp/tmp.4xLZQvq6lP/Vampire---4.8_15481',multiply) ).

fof(f5,axiom,
    identity != multiply(inverse(a1),a1),
    file('/export/starexec/sandbox/tmp/tmp.4xLZQvq6lP/Vampire---4.8_15481',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : GRP487-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.11  % 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
% 0.10/0.31  % Computer : n010.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 20:48:07 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a CNF_UNS_RFO_PEQ_UEQ 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.4xLZQvq6lP/Vampire---4.8_15481
% 0.60/0.79  % (15598)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)
% 0.60/0.79  % (15597)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)
% 0.60/0.79  % (15593)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)
% 0.60/0.79  % (15595)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (15599)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)
% 0.60/0.79  % (15594)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)
% 0.60/0.79  % (15597)Refutation not found, incomplete strategy% (15597)------------------------------
% 0.60/0.79  % (15597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (15598)Refutation not found, incomplete strategy% (15598)------------------------------
% 0.60/0.79  % (15598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (15597)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (15597)Memory used [KB]: 962
% 0.60/0.79  % (15597)Time elapsed: 0.002 s
% 0.60/0.79  % (15597)Instructions burned: 2 (million)
% 0.60/0.79  % (15599)Refutation not found, incomplete strategy% (15599)------------------------------
% 0.60/0.79  % (15599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (15599)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (15599)Memory used [KB]: 949
% 0.60/0.79  % (15599)Time elapsed: 0.002 s
% 0.60/0.79  % (15599)Instructions burned: 2 (million)
% 0.60/0.79  % (15593)Refutation not found, incomplete strategy% (15593)------------------------------
% 0.60/0.79  % (15593)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (15593)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (15593)Memory used [KB]: 964
% 0.60/0.79  % (15593)Time elapsed: 0.003 s
% 0.60/0.79  % (15593)Instructions burned: 2 (million)
% 0.60/0.79  % (15598)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (15600)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)
% 0.60/0.79  % (15598)Memory used [KB]: 949
% 0.60/0.79  % (15598)Time elapsed: 0.003 s
% 0.60/0.79  % (15598)Instructions burned: 2 (million)
% 0.60/0.79  % (15596)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)
% 0.60/0.79  % (15593)------------------------------
% 0.60/0.79  % (15593)------------------------------
% 0.60/0.79  % (15599)------------------------------
% 0.60/0.79  % (15599)------------------------------
% 0.60/0.79  % (15597)------------------------------
% 0.60/0.79  % (15597)------------------------------
% 0.60/0.79  % (15598)------------------------------
% 0.60/0.79  % (15598)------------------------------
% 0.60/0.79  % (15600)Refutation not found, incomplete strategy% (15600)------------------------------
% 0.60/0.79  % (15600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (15600)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (15600)Memory used [KB]: 949
% 0.60/0.79  % (15600)Time elapsed: 0.002 s
% 0.60/0.79  % (15600)Instructions burned: 2 (million)
% 0.60/0.79  % (15596)Refutation not found, incomplete strategy% (15596)------------------------------
% 0.60/0.79  % (15596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (15596)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (15596)Memory used [KB]: 957
% 0.60/0.79  % (15596)Time elapsed: 0.003 s
% 0.60/0.79  % (15596)Instructions burned: 2 (million)
% 0.60/0.80  % (15600)------------------------------
% 0.60/0.80  % (15600)------------------------------
% 0.60/0.80  % (15596)------------------------------
% 0.60/0.80  % (15596)------------------------------
% 0.60/0.80  % (15594)First to succeed.
% 0.60/0.80  % (15594)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15591"
% 0.60/0.80  % (15594)Refutation found. Thanks to Tanya!
% 0.60/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (15594)------------------------------
% 0.60/0.80  % (15594)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (15594)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (15594)Memory used [KB]: 1045
% 0.60/0.80  % (15594)Time elapsed: 0.005 s
% 0.60/0.80  % (15594)Instructions burned: 6 (million)
% 0.60/0.80  % (15591)Success in time 0.483 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------