TSTP Solution File: NUM902_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM902_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : 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 : Wed May  1 03:35:10 EDT 2024

% Result   : Theorem 0.46s 0.63s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   9 unt;   2 typ;   0 def)
%            Number of atoms       :   23 (  22 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   7   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :   57 (   0 atm;  30 fun;  11 num;  16 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (  12   !;   4   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_5,type,
    sK0: $rat ).

tff(func_def_6,type,
    sK1: $rat ).

tff(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f34,f19]) ).

tff(f19,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ( ( sK0 != sK1 )
    & ( 0/1 = $sum(sK0,$uminus(sK1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $rat,X1: $rat] :
        ( ( X0 != X1 )
        & ( 0/1 = $sum(X0,$uminus(X1)) ) )
   => ( ( sK0 != sK1 )
      & ( 0/1 = $sum(sK0,$uminus(sK1)) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $rat,X1: $rat] :
      ( ( X0 != X1 )
      & ( 0/1 = $sum(X0,$uminus(X1)) ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $rat,X1: $rat] :
        ( ( 0/1 = $sum(X0,$uminus(X1)) )
       => ( X0 = X1 ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $rat,X1: $rat] :
        ( ( $difference(X0,X1) = 0/1 )
       => ( X0 = X1 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $rat,X1: $rat] :
      ( ( $difference(X0,X1) = 0/1 )
     => ( X0 = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZJ3pgJD9ig/Vampire---4.8_10558',rat_difference_problem_13) ).

tff(f34,plain,
    sK0 = sK1,
    inference(evaluation,[],[f31]) ).

tff(f31,plain,
    $uminus($uminus(sK1)) = $sum(sK0,0/1),
    inference(superposition,[],[f22,f8]) ).

tff(f8,plain,
    ! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f22,plain,
    ! [X0: $rat] : ( $sum(sK0,$sum($uminus(sK1),X0)) = X0 ),
    inference(evaluation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $rat] : ( $sum(sK0,$sum($uminus(sK1),X0)) = $sum(0/1,X0) ),
    inference(superposition,[],[f5,f18]) ).

tff(f18,plain,
    0/1 = $sum(sK0,$uminus(sK1)),
    inference(cnf_transformation,[],[f17]) ).

tff(f5,plain,
    ! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem    : NUM902_1 : TPTP v8.1.2. Released v5.0.0.
% 0.04/0.09  % 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
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Tue Apr 30 17:00:51 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.08/0.28  This is a TF0_THM_EQU_ARI problem
% 0.08/0.28  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.ZJ3pgJD9ig/Vampire---4.8_10558
% 0.46/0.62  % (10736)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)
% 0.46/0.62  % (10739)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)
% 0.46/0.63  % (10737)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)
% 0.46/0.63  % (10743)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)
% 0.46/0.63  % (10741)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)
% 0.46/0.63  % (10740)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)
% 0.46/0.63  % (10738)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.63  % (10742)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)
% 0.46/0.63  % (10743)Refutation not found, incomplete strategy% (10743)------------------------------
% 0.46/0.63  % (10743)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.63  % (10743)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.63  
% 0.46/0.63  % (10743)Memory used [KB]: 953
% 0.46/0.63  % (10743)Time elapsed: 0.001 s
% 0.46/0.63  % (10743)Instructions burned: 2 (million)
% 0.46/0.63  % (10743)------------------------------
% 0.46/0.63  % (10743)------------------------------
% 0.46/0.63  % (10739)Refutation not found, incomplete strategy% (10739)------------------------------
% 0.46/0.63  % (10739)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.63  % (10739)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.63  
% 0.46/0.63  % (10736)Refutation not found, incomplete strategy% (10736)------------------------------
% 0.46/0.63  % (10736)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.63  % (10739)Memory used [KB]: 955
% 0.46/0.63  % (10739)Time elapsed: 0.002 s
% 0.46/0.63  % (10739)Instructions burned: 2 (million)
% 0.46/0.63  % (10739)------------------------------
% 0.46/0.63  % (10739)------------------------------
% 0.46/0.63  % (10736)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.63  
% 0.46/0.63  % (10736)Memory used [KB]: 969
% 0.46/0.63  % (10736)Time elapsed: 0.002 s
% 0.46/0.63  % (10736)Instructions burned: 3 (million)
% 0.46/0.63  % (10736)------------------------------
% 0.46/0.63  % (10736)------------------------------
% 0.46/0.63  % (10741)First to succeed.
% 0.46/0.63  % (10742)Also succeeded, but the first one will report.
% 0.46/0.63  % (10741)Refutation found. Thanks to Tanya!
% 0.46/0.63  % SZS status Theorem for Vampire---4
% 0.46/0.63  % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.63  % (10741)------------------------------
% 0.46/0.63  % (10741)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.63  % (10741)Termination reason: Refutation
% 0.46/0.63  
% 0.46/0.63  % (10741)Memory used [KB]: 967
% 0.46/0.63  % (10741)Time elapsed: 0.002 s
% 0.46/0.63  % (10741)Instructions burned: 3 (million)
% 0.46/0.63  % (10741)------------------------------
% 0.46/0.63  % (10741)------------------------------
% 0.46/0.63  % (10702)Success in time 0.346 s
% 0.46/0.63  % Vampire---4.8 exiting
%------------------------------------------------------------------------------