TSTP Solution File: ARI741_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI741_1 : TPTP v8.1.2. Released v7.0.0.
% 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 : n009.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 04:35:00 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (   7 unt;   7 typ;   0 def)
%            Number of atoms       :   17 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   8   ~;   4   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   40 (   5 atm;   4 fun;  25 num;   6 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    8 (   7   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    exp: $real > $real ).

tff(func_def_5,type,
    log: $real > $real ).

tff(func_def_6,type,
    log2: $real > $real ).

tff(func_def_9,type,
    log10: $real > $real ).

tff(func_def_11,type,
    pow: ( $real * $real ) > $real ).

tff(func_def_12,type,
    sqr: $real > $real ).

tff(func_def_13,type,
    sqrt: $real > $real ).

tff(f77,plain,
    $false,
    inference(evaluation,[],[f76]) ).

tff(f76,plain,
    ( ( 4.0 != $product(2.0,2.0) )
    | ~ $less(0.0,2.0) ),
    inference(superposition,[],[f62,f73]) ).

tff(f73,plain,
    ! [X0: $real] :
      ( ( $product(X0,X0) = pow(X0,2.0) )
      | ~ $less(0.0,X0) ),
    inference(definition_unfolding,[],[f63,f68]) ).

tff(f68,plain,
    ! [X0: $real] : ( sqr(X0) = $product(X0,X0) ),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,axiom,
    ! [X0: $real] : ( sqr(X0) = $product(X0,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.DvKHstSlXc/Vampire---4.8_13909',sqr_def) ).

tff(f63,plain,
    ! [X0: $real] :
      ( ( sqr(X0) = pow(X0,2.0) )
      | ~ $less(0.0,X0) ),
    inference(cnf_transformation,[],[f51]) ).

tff(f51,plain,
    ! [X0: $real] :
      ( ( sqr(X0) = pow(X0,2.0) )
      | ~ $less(0.0,X0) ),
    inference(ennf_transformation,[],[f22]) ).

tff(f22,axiom,
    ! [X0: $real] :
      ( $less(0.0,X0)
     => ( sqr(X0) = pow(X0,2.0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DvKHstSlXc/Vampire---4.8_13909',pow_x_two) ).

tff(f62,plain,
    pow(2.0,2.0) != 4.0,
    inference(cnf_transformation,[],[f50]) ).

tff(f50,plain,
    pow(2.0,2.0) != 4.0,
    inference(flattening,[],[f25]) ).

tff(f25,negated_conjecture,
    ( ~ pow(2.0,2.0) = 4.0 ),
    inference(negated_conjecture,[],[f24]) ).

tff(f24,conjecture,
    pow(2.0,2.0) = 4.0,
    file('/export/starexec/sandbox2/tmp/tmp.DvKHstSlXc/Vampire---4.8_13909',pow_2_21) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ARI741_1 : TPTP v8.1.2. Released v7.0.0.
% 0.12/0.15  % 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
% 0.15/0.37  % Computer : n009.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 21:49:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TF0_THM_EQU_ARI problem
% 0.15/0.37  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.DvKHstSlXc/Vampire---4.8_13909
% 0.55/0.75  % (14082)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (14083)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)
% 0.55/0.75  % (14084)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)
% 0.55/0.75  % (14086)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)
% 0.55/0.75  % (14087)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)
% 0.55/0.75  % (14085)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)
% 0.55/0.75  % (14080)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)
% 0.55/0.75  % (14083)Refutation not found, incomplete strategy% (14083)------------------------------
% 0.55/0.75  % (14083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (14083)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (14083)Memory used [KB]: 961
% 0.55/0.75  % (14083)Time elapsed: 0.003 s
% 0.55/0.75  % (14083)Instructions burned: 3 (million)
% 0.55/0.75  % (14083)------------------------------
% 0.55/0.75  % (14083)------------------------------
% 0.55/0.75  % (14087)Refutation not found, incomplete strategy% (14087)------------------------------
% 0.55/0.75  % (14087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (14087)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (14087)Memory used [KB]: 1042
% 0.55/0.75  % (14087)Time elapsed: 0.003 s
% 0.55/0.75  % (14087)Instructions burned: 4 (million)
% 0.55/0.75  % (14087)------------------------------
% 0.55/0.75  % (14087)------------------------------
% 0.55/0.75  % (14085)First to succeed.
% 0.55/0.75  % (14086)Refutation not found, incomplete strategy% (14086)------------------------------
% 0.55/0.75  % (14086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (14086)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (14086)Memory used [KB]: 1031
% 0.55/0.75  % (14086)Time elapsed: 0.004 s
% 0.55/0.75  % (14086)Instructions burned: 5 (million)
% 0.55/0.75  % (14085)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14079"
% 0.55/0.75  % (14086)------------------------------
% 0.55/0.75  % (14086)------------------------------
% 0.55/0.75  % (14085)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (14085)------------------------------
% 0.55/0.75  % (14085)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (14085)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (14085)Memory used [KB]: 1036
% 0.55/0.75  % (14085)Time elapsed: 0.004 s
% 0.55/0.75  % (14085)Instructions burned: 4 (million)
% 0.55/0.75  % (14079)Success in time 0.376 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------