TSTP Solution File: ARI081_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI081_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 02:08:07 EDT 2024

% Result   : Theorem 0.62s 0.81s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   28 (  27 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   23 (   8   ~;   0   |;  12   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   61 (   0 atm;  16 fun;  35 num;  10 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;   5 con; 0-2 aty)
%            Number of variables   :   10 (   4   !;   6   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_6,type,
    sK0: $int ).

tff(func_def_7,type,
    sK1: $int ).

tff(f25,plain,
    $false,
    inference(subsumption_resolution,[],[f22,f24]) ).

tff(f24,plain,
    sK0 != 13,
    inference(backward_demodulation,[],[f21,f23]) ).

tff(f23,plain,
    sK1 = 13,
    inference(evaluation,[],[f20]) ).

tff(f20,plain,
    $sum(7,6) = sK1,
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ( ( sK0 != sK1 )
    & ( $sum(7,6) = sK1 )
    & ( $sum(6,7) = sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).

tff(f17,plain,
    ( ? [X0: $int,X1: $int] :
        ( ( X0 != X1 )
        & ( $sum(7,6) = X1 )
        & ( $sum(6,7) = X0 ) )
   => ( ( sK0 != sK1 )
      & ( $sum(7,6) = sK1 )
      & ( $sum(6,7) = sK0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f16,plain,
    ? [X0: $int,X1: $int] :
      ( ( X0 != X1 )
      & ( $sum(7,6) = X1 )
      & ( $sum(6,7) = X0 ) ),
    inference(flattening,[],[f15]) ).

tff(f15,plain,
    ? [X0: $int,X1: $int] :
      ( ( X0 != X1 )
      & ( $sum(7,6) = X1 )
      & ( $sum(6,7) = X0 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int,X1: $int] :
        ( ( ( $sum(7,6) = X1 )
          & ( $sum(6,7) = X0 ) )
       => ( X0 = X1 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int,X1: $int] :
      ( ( ( $sum(7,6) = X1 )
        & ( $sum(6,7) = X0 ) )
     => ( X0 = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.utsttNBfoi/Vampire---4.8_25934',communative_sum_6_7) ).

tff(f21,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f18]) ).

tff(f22,plain,
    sK0 = 13,
    inference(evaluation,[],[f19]) ).

tff(f19,plain,
    $sum(6,7) = sK0,
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : ARI081_1 : TPTP v8.1.2. Released v5.0.0.
% 0.10/0.12  % 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
% 0.12/0.33  % Computer : n032.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 18:57:51 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a TF0_THM_EQU_ARI problem
% 0.12/0.33  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.utsttNBfoi/Vampire---4.8_25934
% 0.62/0.80  % (26048)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)
% 0.62/0.80  % (26045)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)
% 0.62/0.80  % (26047)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (26049)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)
% 0.62/0.80  % (26050)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)
% 0.62/0.80  % (26051)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)
% 0.62/0.81  % (26052)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)
% 0.62/0.81  % (26047)First to succeed.
% 0.62/0.81  % (26045)Refutation not found, incomplete strategy% (26045)------------------------------
% 0.62/0.81  % (26045)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (26045)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  % (26046)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)
% 0.62/0.81  
% 0.62/0.81  % (26045)Memory used [KB]: 970
% 0.62/0.81  % (26045)Time elapsed: 0.003 s
% 0.62/0.81  % (26045)Instructions burned: 3 (million)
% 0.62/0.81  % (26045)------------------------------
% 0.62/0.81  % (26045)------------------------------
% 0.62/0.81  % (26048)Also succeeded, but the first one will report.
% 0.62/0.81  % (26052)Refutation not found, incomplete strategy% (26052)------------------------------
% 0.62/0.81  % (26052)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (26052)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (26052)Memory used [KB]: 952
% 0.62/0.81  % (26052)Time elapsed: 0.002 s
% 0.62/0.81  % (26052)Instructions burned: 2 (million)
% 0.62/0.81  % (26052)------------------------------
% 0.62/0.81  % (26052)------------------------------
% 0.62/0.81  % (26050)Also succeeded, but the first one will report.
% 0.62/0.81  % (26047)Refutation found. Thanks to Tanya!
% 0.62/0.81  % SZS status Theorem for Vampire---4
% 0.62/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.81  % (26047)------------------------------
% 0.62/0.81  % (26047)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (26047)Termination reason: Refutation
% 0.62/0.81  
% 0.62/0.81  % (26047)Memory used [KB]: 965
% 0.62/0.81  % (26047)Time elapsed: 0.003 s
% 0.62/0.81  % (26047)Instructions burned: 2 (million)
% 0.62/0.81  % (26047)------------------------------
% 0.62/0.81  % (26047)------------------------------
% 0.62/0.81  % (26043)Success in time 0.472 s
% 0.62/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------