TSTP Solution File: BOO005-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : BOO005-2 : 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 : n032.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 04:41:40 EDT 2024

% Result   : Unsatisfiable 0.49s 0.67s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 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    :    4 (   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   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f113,plain,
    $false,
    inference(trivial_inequality_removal,[],[f108]) ).

fof(f108,plain,
    multiplicative_identity != multiplicative_identity,
    inference(superposition,[],[f41,f96]) ).

fof(f96,plain,
    ! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
    inference(forward_demodulation,[],[f83,f8]) ).

fof(f8,axiom,
    ! [X0] : multiplicative_identity = add(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.m9jbRZ60Zk/Vampire---4.8_12671',additive_inverse2) ).

fof(f83,plain,
    ! [X0] : add(inverse(X0),X0) = add(multiplicative_identity,X0),
    inference(superposition,[],[f76,f11]) ).

fof(f11,axiom,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.m9jbRZ60Zk/Vampire---4.8_12671',multiplicative_id1) ).

fof(f76,plain,
    ! [X0,X1] : add(X1,X0) = add(multiply(inverse(X0),X1),X0),
    inference(forward_demodulation,[],[f63,f12]) ).

fof(f12,axiom,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.m9jbRZ60Zk/Vampire---4.8_12671',multiplicative_id2) ).

fof(f63,plain,
    ! [X0,X1] : add(multiply(inverse(X0),X1),X0) = multiply(multiplicative_identity,add(X1,X0)),
    inference(superposition,[],[f3,f8]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.m9jbRZ60Zk/Vampire---4.8_12671',distributivity1) ).

fof(f41,plain,
    multiplicative_identity != add(multiplicative_identity,a),
    inference(superposition,[],[f15,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.m9jbRZ60Zk/Vampire---4.8_12671',commutativity_of_add) ).

fof(f15,axiom,
    multiplicative_identity != add(a,multiplicative_identity),
    file('/export/starexec/sandbox2/tmp/tmp.m9jbRZ60Zk/Vampire---4.8_12671',prove_a_plus_1_is_a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem    : BOO005-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.04/0.12  % 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
% 0.10/0.31  % Computer : n032.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 18:44:07 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.10/0.32  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.m9jbRZ60Zk/Vampire---4.8_12671
% 0.49/0.67  % (12779)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 (2996ds/34Mi)
% 0.49/0.67  % (12784)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.49/0.67  % (12782)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.49/0.67  % (12785)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 (2996ds/83Mi)
% 0.49/0.67  % (12783)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 (2996ds/34Mi)
% 0.49/0.67  % (12781)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.49/0.67  % (12780)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 (2996ds/51Mi)
% 0.49/0.67  % (12786)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 (2996ds/56Mi)
% 0.49/0.67  % (12779)Refutation not found, incomplete strategy% (12779)------------------------------
% 0.49/0.67  % (12779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67  % (12782)Refutation not found, incomplete strategy% (12782)------------------------------
% 0.49/0.67  % (12782)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67  % (12782)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.67  
% 0.49/0.67  % (12782)Memory used [KB]: 961
% 0.49/0.67  % (12782)Time elapsed: 0.002 s
% 0.49/0.67  % (12782)Instructions burned: 2 (million)
% 0.49/0.67  % (12779)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.67  
% 0.49/0.67  % (12784)Refutation not found, incomplete strategy% (12784)------------------------------
% 0.49/0.67  % (12784)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67  % (12784)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.67  
% 0.49/0.67  % (12784)Memory used [KB]: 960
% 0.49/0.67  % (12784)Time elapsed: 0.002 s
% 0.49/0.67  % (12784)Instructions burned: 2 (million)
% 0.49/0.67  % (12779)Memory used [KB]: 976
% 0.49/0.67  % (12779)Time elapsed: 0.002 s
% 0.49/0.67  % (12779)Instructions burned: 2 (million)
% 0.49/0.67  % (12783)Refutation not found, incomplete strategy% (12783)------------------------------
% 0.49/0.67  % (12783)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67  % (12783)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.67  
% 0.49/0.67  % (12783)Memory used [KB]: 975
% 0.49/0.67  % (12783)Time elapsed: 0.002 s
% 0.49/0.67  % (12783)Instructions burned: 2 (million)
% 0.49/0.67  % (12779)------------------------------
% 0.49/0.67  % (12779)------------------------------
% 0.49/0.67  % (12782)------------------------------
% 0.49/0.67  % (12782)------------------------------
% 0.49/0.67  % (12784)------------------------------
% 0.49/0.67  % (12784)------------------------------
% 0.49/0.67  % (12785)Refutation not found, incomplete strategy% (12785)------------------------------
% 0.49/0.67  % (12785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67  % (12786)Refutation not found, incomplete strategy% (12786)------------------------------
% 0.49/0.67  % (12786)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67  % (12785)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.67  
% 0.49/0.67  % (12786)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.67  % (12785)Memory used [KB]: 961
% 0.49/0.67  
% 0.49/0.67  % (12785)Time elapsed: 0.002 s
% 0.49/0.67  % (12786)Memory used [KB]: 960
% 0.49/0.67  % (12786)Time elapsed: 0.002 s
% 0.49/0.67  % (12785)Instructions burned: 2 (million)
% 0.49/0.67  % (12786)Instructions burned: 2 (million)
% 0.49/0.67  % (12783)------------------------------
% 0.49/0.67  % (12783)------------------------------
% 0.49/0.67  % (12785)------------------------------
% 0.49/0.67  % (12785)------------------------------
% 0.49/0.67  % (12786)------------------------------
% 0.49/0.67  % (12786)------------------------------
% 0.49/0.67  % (12780)First to succeed.
% 0.49/0.67  % (12780)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12778"
% 0.49/0.67  % (12789)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.49/0.67  % (12790)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.49/0.67  % (12791)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.49/0.67  % (12780)Refutation found. Thanks to Tanya!
% 0.49/0.67  % SZS status Unsatisfiable for Vampire---4
% 0.49/0.67  % SZS output start Proof for Vampire---4
% See solution above
% 0.49/0.67  % (12780)------------------------------
% 0.49/0.67  % (12780)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67  % (12780)Termination reason: Refutation
% 0.49/0.67  
% 0.49/0.67  % (12780)Memory used [KB]: 1048
% 0.49/0.67  % (12780)Time elapsed: 0.005 s
% 0.49/0.67  % (12780)Instructions burned: 6 (million)
% 0.49/0.67  % (12778)Success in time 0.354 s
% 0.49/0.67  % Vampire---4.8 exiting
%------------------------------------------------------------------------------