TSTP Solution File: GRP166-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP166-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n028.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 02:27:42 EDT 2024

% Result   : Unsatisfiable 0.61s 0.78s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f113,plain,
    $false,
    inference(trivial_inequality_removal,[],[f112]) ).

fof(f112,plain,
    multiply(b,a) != multiply(b,a),
    inference(superposition,[],[f18,f61]) ).

fof(f61,plain,
    ! [X0] : multiply(b,X0) = least_upper_bound(X0,multiply(b,X0)),
    inference(superposition,[],[f26,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.aHAKIcEy1C/Vampire---4.8_32547',symmetry_of_lub) ).

fof(f26,plain,
    ! [X0] : multiply(b,X0) = least_upper_bound(multiply(b,X0),X0),
    inference(forward_demodulation,[],[f24,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.aHAKIcEy1C/Vampire---4.8_32547',left_identity) ).

fof(f24,plain,
    ! [X0] : multiply(b,X0) = least_upper_bound(multiply(b,X0),multiply(identity,X0)),
    inference(superposition,[],[f14,f17]) ).

fof(f17,axiom,
    b = least_upper_bound(b,identity),
    file('/export/starexec/sandbox2/tmp/tmp.aHAKIcEy1C/Vampire---4.8_32547',lat3a_2) ).

fof(f14,axiom,
    ! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
    file('/export/starexec/sandbox2/tmp/tmp.aHAKIcEy1C/Vampire---4.8_32547',monotony_lub2) ).

fof(f18,axiom,
    multiply(b,a) != least_upper_bound(a,multiply(b,a)),
    file('/export/starexec/sandbox2/tmp/tmp.aHAKIcEy1C/Vampire---4.8_32547',prove_lat3a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : GRP166-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.02/0.10  % 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
% 0.10/0.30  % Computer : n028.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 18:46:30 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.10/0.30  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.aHAKIcEy1C/Vampire---4.8_32547
% 0.61/0.77  % (32660)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)
% 0.61/0.77  % (32659)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.77  % (32657)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)
% 0.61/0.77  % (32661)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)
% 0.61/0.77  % (32658)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)
% 0.61/0.77  % (32662)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)
% 0.61/0.77  % (32663)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)
% 0.61/0.77  % (32664)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)
% 0.61/0.77  % (32664)Refutation not found, incomplete strategy% (32664)------------------------------
% 0.61/0.77  % (32664)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (32661)Refutation not found, incomplete strategy% (32661)------------------------------
% 0.61/0.77  % (32661)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (32661)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (32661)Memory used [KB]: 984
% 0.61/0.77  % (32661)Time elapsed: 0.002 s
% 0.61/0.77  % (32661)Instructions burned: 2 (million)
% 0.61/0.77  % (32661)------------------------------
% 0.61/0.77  % (32661)------------------------------
% 0.61/0.77  % (32664)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (32664)Memory used [KB]: 970
% 0.61/0.77  % (32664)Time elapsed: 0.002 s
% 0.61/0.77  % (32664)Instructions burned: 2 (million)
% 0.61/0.77  % (32664)------------------------------
% 0.61/0.77  % (32664)------------------------------
% 0.61/0.77  % (32657)Refutation not found, incomplete strategy% (32657)------------------------------
% 0.61/0.77  % (32657)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (32660)Refutation not found, incomplete strategy% (32660)------------------------------
% 0.61/0.77  % (32660)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (32660)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (32660)Memory used [KB]: 972
% 0.61/0.77  % (32660)Time elapsed: 0.003 s
% 0.61/0.77  % (32660)Instructions burned: 2 (million)
% 0.61/0.77  % (32660)------------------------------
% 0.61/0.77  % (32660)------------------------------
% 0.61/0.77  % (32657)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (32657)Memory used [KB]: 986
% 0.61/0.77  % (32657)Time elapsed: 0.003 s
% 0.61/0.77  % (32657)Instructions burned: 3 (million)
% 0.61/0.77  % (32657)------------------------------
% 0.61/0.77  % (32657)------------------------------
% 0.61/0.78  % (32662)First to succeed.
% 0.61/0.78  % (32665)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 Vampire---4 for (2995ds/55Mi)
% 0.61/0.78  % (32662)Refutation found. Thanks to Tanya!
% 0.61/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78  % (32662)------------------------------
% 0.61/0.78  % (32662)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (32662)Termination reason: Refutation
% 0.61/0.78  
% 0.61/0.78  % (32662)Memory used [KB]: 1063
% 0.61/0.78  % (32662)Time elapsed: 0.005 s
% 0.61/0.78  % (32662)Instructions burned: 8 (million)
% 0.61/0.78  % (32662)------------------------------
% 0.61/0.78  % (32662)------------------------------
% 0.61/0.78  % (32655)Success in time 0.47 s
% 0.61/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------