TSTP Solution File: SEU306+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU306+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n004.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 09:22:08 EDT 2024

% Result   : Theorem 0.70s 0.92s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :   63 (  11 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   23 (  11   ~;   3   |;   4   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   36 (  36 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   12 (   9   !;   2   ?;   6   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_16,type,
    sQ2_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f61,plain,
    $false,
    inference(subsumption_resolution,[],[f60,f51]) ).

tff(f51,plain,
    one_sorted_str(sK0),
    inference(cnf_transformation,[],[f48]) ).

tff(f48,plain,
    ( ( cast_as_carrier_subset(sK0) != the_carrier(sK0) )
    & one_sorted_str(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f45,f47]) ).

tff(f47,plain,
    ( ? [X0] :
        ( ( cast_as_carrier_subset(X0) != the_carrier(X0) )
        & one_sorted_str(X0) )
   => ( ( cast_as_carrier_subset(sK0) != the_carrier(sK0) )
      & one_sorted_str(sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f45,plain,
    ? [X0] :
      ( ( cast_as_carrier_subset(X0) != the_carrier(X0) )
      & one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f41]) ).

tff(f41,negated_conjecture,
    ~ ! [X0] :
        ( one_sorted_str(X0)
       => ( cast_as_carrier_subset(X0) = the_carrier(X0) ) ),
    inference(negated_conjecture,[],[f40]) ).

tff(f40,conjecture,
    ! [X0] :
      ( one_sorted_str(X0)
     => ( cast_as_carrier_subset(X0) = the_carrier(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.BZyMwRTbGP/Vampire---4.8_11854',t12_pre_topc) ).

tff(f60,plain,
    ~ one_sorted_str(sK0),
    inference(resolution,[],[f57,f56]) ).

tff(f56,plain,
    ~ sQ2_eqProxy($i,cast_as_carrier_subset(sK0),the_carrier(sK0)),
    inference(equality_proxy_replacement,[],[f52,f55]) ).

tff(f55,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ2_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).

tff(f52,plain,
    cast_as_carrier_subset(sK0) != the_carrier(sK0),
    inference(cnf_transformation,[],[f48]) ).

tff(f57,plain,
    ! [X0: $i] :
      ( sQ2_eqProxy($i,cast_as_carrier_subset(X0),the_carrier(X0))
      | ~ one_sorted_str(X0) ),
    inference(equality_proxy_replacement,[],[f53,f55]) ).

tff(f53,plain,
    ! [X0: $i] :
      ( ( cast_as_carrier_subset(X0) = the_carrier(X0) )
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f46]) ).

tff(f46,plain,
    ! [X0] :
      ( ( cast_as_carrier_subset(X0) = the_carrier(X0) )
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f39]) ).

tff(f39,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => ( cast_as_carrier_subset(X0) = the_carrier(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.BZyMwRTbGP/Vampire---4.8_11854',d3_pre_topc) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU306+1 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.16/0.36  % Computer : n004.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 11:33:33 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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.BZyMwRTbGP/Vampire---4.8_11854
% 0.70/0.92  % (12099)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.70/0.92  % (12098)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 (2994ds/51Mi)
% 0.70/0.92  % (12097)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 (2994ds/34Mi)
% 0.70/0.92  % (12100)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.70/0.92  % (12101)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 (2994ds/34Mi)
% 0.70/0.92  % (12102)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.70/0.92  % (12103)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 (2994ds/83Mi)
% 0.70/0.92  % (12104)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 (2994ds/56Mi)
% 0.70/0.92  % (12100)Also succeeded, but the first one will report.
% 0.70/0.92  % (12097)First to succeed.
% 0.70/0.92  % (12102)Also succeeded, but the first one will report.
% 0.70/0.92  % (12097)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12070"
% 0.70/0.92  % (12101)Also succeeded, but the first one will report.
% 0.70/0.92  % (12099)Also succeeded, but the first one will report.
% 0.70/0.92  % (12104)Also succeeded, but the first one will report.
% 0.70/0.92  % (12103)Also succeeded, but the first one will report.
% 0.70/0.92  % (12098)Also succeeded, but the first one will report.
% 0.70/0.92  % (12097)Refutation found. Thanks to Tanya!
% 0.70/0.92  % SZS status Theorem for Vampire---4
% 0.70/0.92  % SZS output start Proof for Vampire---4
% See solution above
% 0.70/0.92  % (12097)------------------------------
% 0.70/0.92  % (12097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (12097)Termination reason: Refutation
% 0.70/0.92  
% 0.70/0.92  % (12097)Memory used [KB]: 967
% 0.70/0.92  % (12097)Time elapsed: 0.003 s
% 0.70/0.92  % (12097)Instructions burned: 2 (million)
% 0.70/0.92  % (12070)Success in time 0.552 s
% 0.70/0.92  % Vampire---4.8 exiting
%------------------------------------------------------------------------------