TSTP Solution File: ARI106_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI106_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 : n008.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 04:32:49 EDT 2024

% Result   : Theorem 0.63s 0.83s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :   28 (  27 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   27 (  12   ~;   8   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   59 (   0 atm;  14 fun;  32 num;  13 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 (   1 usr;   5 con; 0-2 aty)
%            Number of variables   :   13 (  11   !;   2   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_8,type,
    sK0: $int ).

tff(f531,plain,
    $false,
    inference(evaluation,[],[f524]) ).

tff(f524,plain,
    6 != $product(2,3),
    inference(unit_resulting_resolution,[],[f25,f517]) ).

tff(f517,plain,
    ! [X0: $int] :
      ( ( $product(2,X0) != 6 )
      | ( sK0 = X0 ) ),
    inference(evaluation,[],[f505]) ).

tff(f505,plain,
    ! [X0: $int] :
      ( ( $product(2,X0) != 6 )
      | ( 2 = 0 )
      | ( sK0 = X0 ) ),
    inference(superposition,[],[f26,f24]) ).

tff(f24,plain,
    6 = $product(2,sK0),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ( ( 3 != sK0 )
    & ( 6 = $product(2,sK0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).

tff(f22,plain,
    ( ? [X0: $int] :
        ( ( 3 != X0 )
        & ( $product(2,X0) = 6 ) )
   => ( ( 3 != sK0 )
      & ( 6 = $product(2,sK0) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f21,plain,
    ? [X0: $int] :
      ( ( 3 != X0 )
      & ( $product(2,X0) = 6 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] :
        ( ( $product(2,X0) = 6 )
       => ( 3 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] :
      ( ( $product(2,X0) = 6 )
     => ( 3 = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.7fYZOgUBA5/Vampire---4.8_23202',product_2_only_3_6) ).

tff(f26,plain,
    ! [X2: $int,X3: $int,X0: $int] :
      ( ( $product(X0,X2) != $product(X0,X3) )
      | ( 0 = X0 )
      | ( X2 = X3 ) ),
    inference(equality_resolution,[],[f19]) ).

tff(f19,plain,
    ! [X2: $int,X3: $int,X0: $int,X1: $int] :
      ( ( 0 = X0 )
      | ( $product(X0,X2) != X1 )
      | ( $product(X0,X3) != X1 )
      | ( X2 = X3 ) ),
    introduced(theory_axiom_151,[]) ).

tff(f25,plain,
    3 != sK0,
    inference(cnf_transformation,[],[f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI106_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n008.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 21:51:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF0_THM_EQU_ARI problem
% 0.15/0.36  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.7fYZOgUBA5/Vampire---4.8_23202
% 0.63/0.81  % (23576)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)
% 0.63/0.81  % (23576)Refutation not found, incomplete strategy% (23576)------------------------------
% 0.63/0.81  % (23576)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (23576)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (23576)Memory used [KB]: 954
% 0.63/0.81  % (23576)Time elapsed: 0.002 s
% 0.63/0.81  % (23576)Instructions burned: 2 (million)
% 0.63/0.81  % (23569)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)
% 0.63/0.81  % (23571)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81  % (23570)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)
% 0.63/0.81  % (23576)------------------------------
% 0.63/0.81  % (23576)------------------------------
% 0.63/0.81  % (23572)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)
% 0.63/0.81  % (23574)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)
% 0.63/0.81  % (23573)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)
% 0.63/0.81  % (23575)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)
% 0.63/0.82  % (23572)Refutation not found, incomplete strategy% (23572)------------------------------
% 0.63/0.82  % (23572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (23572)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  
% 0.63/0.82  % (23572)Memory used [KB]: 956
% 0.63/0.82  % (23572)Time elapsed: 0.003 s
% 0.63/0.82  % (23572)Instructions burned: 2 (million)
% 0.63/0.82  % (23572)------------------------------
% 0.63/0.82  % (23572)------------------------------
% 0.63/0.82  % (23569)Refutation not found, incomplete strategy% (23569)------------------------------
% 0.63/0.82  % (23569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (23569)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  
% 0.63/0.82  % (23569)Memory used [KB]: 974
% 0.63/0.82  % (23569)Time elapsed: 0.004 s
% 0.63/0.82  % (23569)Instructions burned: 3 (million)
% 0.63/0.82  % (23569)------------------------------
% 0.63/0.82  % (23569)------------------------------
% 0.63/0.82  % (23577)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)
% 0.63/0.82  % (23578)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.63/0.82  % (23579)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 (2995ds/208Mi)
% 0.63/0.82  % (23578)Refutation not found, incomplete strategy% (23578)------------------------------
% 0.63/0.82  % (23578)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (23578)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  
% 0.63/0.82  % (23578)Memory used [KB]: 956
% 0.63/0.82  % (23578)Time elapsed: 0.003 s
% 0.63/0.82  % (23578)Instructions burned: 3 (million)
% 0.63/0.82  % (23578)------------------------------
% 0.63/0.82  % (23578)------------------------------
% 0.63/0.83  % (23580)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 (2995ds/52Mi)
% 0.63/0.83  % (23577)First to succeed.
% 0.63/0.83  % (23577)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23479"
% 0.63/0.83  % (23577)Refutation found. Thanks to Tanya!
% 0.63/0.83  % SZS status Theorem for Vampire---4
% 0.63/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.83  % (23577)------------------------------
% 0.63/0.83  % (23577)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.83  % (23577)Termination reason: Refutation
% 0.63/0.83  
% 0.63/0.83  % (23577)Memory used [KB]: 1225
% 0.63/0.83  % (23577)Time elapsed: 0.012 s
% 0.63/0.83  % (23577)Instructions burned: 30 (million)
% 0.63/0.83  % (23479)Success in time 0.451 s
% 0.63/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------