TSTP Solution File: ARI119_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI119_1 : TPTP v8.2.0. 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 : n029.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 : Mon May 20 18:46:37 EDT 2024

% Result   : Theorem 0.52s 0.71s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :   21 (  16 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  12   ~;   5   |;   4   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   42 (   0 atm;   7 fun;  23 num;  12 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   8   !;   4   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ0_eqProxy: ( $int * $int ) > $o ).

tff(f34,plain,
    $false,
    inference(subsumption_resolution,[],[f33,f32]) ).

tff(f32,plain,
    ! [X0: $int] : sQ0_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f25]) ).

tff(f25,plain,
    ! [X0: $int,X1: $int] :
      ( sQ0_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f33,plain,
    ~ sQ0_eqProxy(16,16),
    inference(evaluation,[],[f26]) ).

tff(f26,plain,
    ~ sQ0_eqProxy(16,$product(4,4)),
    inference(equality_proxy_replacement,[],[f24,f25]) ).

tff(f24,plain,
    16 != $product(4,4),
    inference(equality_resolution,[],[f23]) ).

tff(f23,plain,
    ! [X0: $int] :
      ( ( 4 != X0 )
      | ( 16 != $product(X0,4) ) ),
    inference(equality_resolution,[],[f22]) ).

tff(f22,plain,
    ! [X0: $int,X1: $int] :
      ( ( 4 != X1 )
      | ( 4 != X0 )
      | ( $product(X0,X1) != 16 ) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int,X1: $int] :
      ( ( 4 != X1 )
      | ( 4 != X0 )
      | ( $product(X0,X1) != 16 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int,X1: $int] :
        ( ( 4 = X1 )
        & ( 4 = X0 )
        & ( $product(X0,X1) = 16 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int,X1: $int] :
      ( ( 4 = X1 )
      & ( 4 = X0 )
      & ( $product(X0,X1) = 16 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_4_4_16) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : ARI119_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.13  % 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
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 13:07:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TF0_THM_EQU_ARI problem
% 0.13/0.34  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/benchmark/theBenchmark.p
% 0.52/0.71  % (1216)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.52/0.71  % (1209)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 theBenchmark for (2996ds/34Mi)
% 0.52/0.71  % (1210)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 theBenchmark for (2996ds/51Mi)
% 0.52/0.71  % (1216)First to succeed.
% 0.52/0.71  % (1216)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1207"
% 0.52/0.71  % (1216)Refutation found. Thanks to Tanya!
% 0.52/0.71  % SZS status Theorem for theBenchmark
% 0.52/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.71  % (1216)------------------------------
% 0.52/0.71  % (1216)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.71  % (1216)Termination reason: Refutation
% 0.52/0.71  
% 0.52/0.71  % (1216)Memory used [KB]: 958
% 0.52/0.71  % (1216)Time elapsed: 0.003 s
% 0.52/0.71  % (1216)Instructions burned: 2 (million)
% 0.52/0.71  % (1207)Success in time 0.369 s
% 0.52/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------