TSTP Solution File: NUM615+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM615+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n015.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 08:13:29 EDT 2024

% Result   : Theorem 0.53s 0.75s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :  144 (  13 equ)
%            Maximal formula atoms :    4 (   9 avg)
%            Number of connectives :   32 (  13   ~;   8   |;   9   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  109 ( 109 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   15 (  10   !;   4   ?;  10   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_35,type,
    sQ71_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f1177,plain,
    $false,
    inference(subsumption_resolution,[],[f1176,f1041]) ).

tff(f1041,plain,
    sQ71_eqProxy($i,xp,sdtlpdtrp0(xe,sK53)),
    inference(equality_proxy_replacement,[],[f763,f956]) ).

tff(f956,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ71_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ71_eqProxy])]) ).

tff(f763,plain,
    xp = sdtlpdtrp0(xe,sK53),
    inference(cnf_transformation,[],[f422]) ).

tff(f422,plain,
    ( ( xp = sdtlpdtrp0(xe,sK53) )
    & aElementOf0(sK53,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f106,f421]) ).

tff(f421,plain,
    ( ? [X0] :
        ( ( sdtlpdtrp0(xe,X0) = xp )
        & aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
   => ( ( xp = sdtlpdtrp0(xe,sK53) )
      & aElementOf0(sK53,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
    introduced(choice_axiom,[]) ).

tff(f106,axiom,
    ? [X0] :
      ( ( sdtlpdtrp0(xe,X0) = xp )
      & aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    file('/export/starexec/sandbox/tmp/tmp.4P3m3QLp2P/Vampire---4.8_9648',m__5182) ).

tff(f1176,plain,
    ~ sQ71_eqProxy($i,xp,sdtlpdtrp0(xe,sK53)),
    inference(resolution,[],[f1170,f762]) ).

tff(f762,plain,
    aElementOf0(sK53,sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(cnf_transformation,[],[f422]) ).

tff(f1170,plain,
    ! [X0: $i] :
      ( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      | ~ sQ71_eqProxy($i,xp,sdtlpdtrp0(xe,X0)) ),
    inference(resolution,[],[f1097,f1043]) ).

tff(f1043,plain,
    ! [X0: $i] :
      ( ~ sQ71_eqProxy($i,sdtlpdtrp0(xe,X0),xp)
      | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(equality_proxy_replacement,[],[f771,f956]) ).

tff(f771,plain,
    ! [X0: $i] :
      ( ( sdtlpdtrp0(xe,X0) != xp )
      | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(cnf_transformation,[],[f173]) ).

tff(f173,plain,
    ! [X0] :
      ( ( sdtlpdtrp0(xe,X0) != xp )
      | ( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & ( ( sdtlpdtrp0(xd,X0) != szDzizrdt0(xd) )
          | ~ aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
    inference(ennf_transformation,[],[f112]) ).

tff(f112,negated_conjecture,
    ~ ? [X0] :
        ( ( sdtlpdtrp0(xe,X0) = xp )
        & ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
            & aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
    inference(negated_conjecture,[],[f111]) ).

tff(f111,conjecture,
    ? [X0] :
      ( ( sdtlpdtrp0(xe,X0) = xp )
      & ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
          & aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.4P3m3QLp2P/Vampire---4.8_9648',m__) ).

tff(f1097,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ71_eqProxy(X0,X2,X1)
      | ~ sQ71_eqProxy(X0,X1,X2) ),
    inference(equality_proxy_axiom,[],[f956]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM615+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 14:45:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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/tmp/tmp.4P3m3QLp2P/Vampire---4.8_9648
% 0.53/0.73  % (9763)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)
% 0.53/0.73  % (9764)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)
% 0.53/0.73  % (9757)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)
% 0.53/0.73  % (9759)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.73  % (9758)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 (2996ds/51Mi)
% 0.53/0.73  % (9760)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)
% 0.53/0.73  % (9761)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)
% 0.53/0.73  % (9762)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)
% 0.53/0.75  % (9757)First to succeed.
% 0.53/0.75  % (9757)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9756"
% 0.53/0.75  % (9757)Refutation found. Thanks to Tanya!
% 0.53/0.75  % SZS status Theorem for Vampire---4
% 0.53/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.75  % (9757)------------------------------
% 0.53/0.75  % (9757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75  % (9757)Termination reason: Refutation
% 0.53/0.75  
% 0.53/0.75  % (9757)Memory used [KB]: 1653
% 0.53/0.75  % (9757)Time elapsed: 0.017 s
% 0.53/0.75  % (9757)Instructions burned: 31 (million)
% 0.53/0.75  % (9756)Success in time 0.383 s
% 0.53/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------