TSTP Solution File: NUM893_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM893_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.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 08:16:15 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   33 (  32 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   37 (  15   ~;  10   |;   8   &)
%                                         (   3 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number arithmetic     :   81 (   0 atm;  53 fun;   3 num;  25 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    :    4 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   25 (  16   !;   9   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f64,plain,
    $false,
    inference(evaluation,[],[f60]) ).

tff(f60,plain,
    ! [X0: $int] :
      ( ( $sum(X0,0) != X0 )
      | ( $sum(X0,$uminus(0)) != X0 ) ),
    inference(superposition,[],[f22,f8]) ).

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

tff(f22,plain,
    ! [X2: $int,X0: $int] :
      ( ( $sum(X0,$sum(X2,$uminus(X0))) != X2 )
      | ( $sum(X2,$uminus($sum(X2,$uminus(X0)))) != X0 ) ),
    inference(equality_resolution,[],[f21]) ).

tff(f21,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ( $sum(X2,$uminus(X0)) != X1 )
      | ( $sum(X2,$uminus(X1)) != X0 )
      | ( $sum(X0,X1) != X2 ) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( ( $sum(X2,$uminus(X0)) != X1 )
        | ( $sum(X2,$uminus(X1)) != X0 )
        | ( $sum(X0,X1) != X2 ) )
      & ( ( ( $sum(X2,$uminus(X0)) = X1 )
          & ( $sum(X2,$uminus(X1)) = X0 ) )
        | ( $sum(X0,X1) = X2 ) ) ),
    inference(flattening,[],[f17]) ).

tff(f17,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( ( $sum(X2,$uminus(X0)) != X1 )
        | ( $sum(X2,$uminus(X1)) != X0 )
        | ( $sum(X0,X1) != X2 ) )
      & ( ( ( $sum(X2,$uminus(X0)) = X1 )
          & ( $sum(X2,$uminus(X1)) = X0 ) )
        | ( $sum(X0,X1) = X2 ) ) ),
    inference(nnf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( $sum(X0,X1) = X2 )
    <~> ( ( $sum(X2,$uminus(X0)) = X1 )
        & ( $sum(X2,$uminus(X1)) = X0 ) ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $int,X1: $int,X2: $int] :
        ( ( $sum(X0,X1) = X2 )
      <=> ( ( $sum(X2,$uminus(X0)) = X1 )
          & ( $sum(X2,$uminus(X1)) = X0 ) ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int,X1: $int,X2: $int] :
        ( ( $sum(X0,X1) = X2 )
      <=> ( ( $difference(X2,X0) = X1 )
          & ( $difference(X2,X1) = X0 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int,X1: $int,X2: $int] :
      ( ( $sum(X0,X1) = X2 )
    <=> ( ( $difference(X2,X0) = X1 )
        & ( $difference(X2,X1) = X0 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.LpumB0Hr8C/Vampire---4.8_25625',sum_same_as_difference) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM893_1 : TPTP v8.1.2. Released v5.0.0.
% 0.15/0.15  % 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
% 0.15/0.36  % Computer : n003.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 15:09:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF0_THM_EQU_ARI problem
% 0.22/0.36  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.LpumB0Hr8C/Vampire---4.8_25625
% 0.57/0.75  % (25856)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)
% 0.57/0.75  % (25857)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)
% 0.57/0.75  % (25850)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)
% 0.57/0.75  % (25852)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (25853)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)
% 0.57/0.75  % (25851)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)
% 0.57/0.75  % (25854)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)
% 0.57/0.75  % (25855)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)
% 0.57/0.75  % (25857)Refutation not found, incomplete strategy% (25857)------------------------------
% 0.57/0.75  % (25857)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (25857)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (25857)Memory used [KB]: 967
% 0.57/0.75  % (25857)Time elapsed: 0.002 s
% 0.57/0.75  % (25857)Instructions burned: 2 (million)
% 0.57/0.75  % (25857)------------------------------
% 0.57/0.75  % (25857)------------------------------
% 0.57/0.75  % (25853)Refutation not found, incomplete strategy% (25853)------------------------------
% 0.57/0.75  % (25853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (25853)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (25853)Memory used [KB]: 970
% 0.57/0.75  % (25853)Time elapsed: 0.003 s
% 0.57/0.75  % (25853)Instructions burned: 3 (million)
% 0.57/0.75  % (25850)Refutation not found, incomplete strategy% (25850)------------------------------
% 0.57/0.75  % (25850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (25850)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (25850)Memory used [KB]: 972
% 0.57/0.75  % (25850)Time elapsed: 0.004 s
% 0.57/0.75  % (25850)Instructions burned: 4 (million)
% 0.57/0.75  % (25853)------------------------------
% 0.57/0.75  % (25853)------------------------------
% 0.57/0.75  % (25850)------------------------------
% 0.57/0.75  % (25850)------------------------------
% 0.57/0.75  % (25858)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 (2996ds/55Mi)
% 0.57/0.75  % (25852)First to succeed.
% 0.57/0.75  % (25852)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25849"
% 0.57/0.75  % (25852)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (25852)------------------------------
% 0.57/0.75  % (25852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (25852)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (25852)Memory used [KB]: 1051
% 0.57/0.75  % (25852)Time elapsed: 0.006 s
% 0.57/0.75  % (25852)Instructions burned: 8 (million)
% 0.57/0.75  % (25849)Success in time 0.384 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------