TSTP Solution File: SWV911-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV911-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : 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 : Wed May  1 04:13:50 EDT 2024

% Result   : Unsatisfiable 0.62s 0.85s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   9 unt;   1 typ;   0 def)
%            Number of atoms       :  196 (   0 equ)
%            Maximal formula atoms :    3 (   9 avg)
%            Number of connectives :   28 (  16   ~;  10   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  164 ( 164 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  22 usr;  13 prp; 0-4 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   10 (   9   !;   0   ?;  10   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_28,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f643,plain,
    $false,
    inference(avatar_sat_refutation,[],[f629,f639,f642]) ).

tff(f642,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f641]) ).

tff(f641,plain,
    ( $false
    | ~ spl1_1 ),
    inference(subsumption_resolution,[],[f640,f624]) ).

tff(f624,plain,
    ( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f622]) ).

tff(f622,plain,
    ( spl1_1
  <=> hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f640,plain,
    ~ hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
    inference(resolution,[],[f635,f633]) ).

tff(f633,plain,
    ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))),
    inference(resolution,[],[f532,f529]) ).

tff(f529,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox2/tmp/tmp.eBtkXTsEz5/Vampire---4.8_3325',cls_conjecture_1) ).

tff(f532,axiom,
    ! [X76: $i,X64: $i] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
      | ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X64,X76))) ),
    file('/export/starexec/sandbox2/tmp/tmp.eBtkXTsEz5/Vampire---4.8_3325',cls_conjecture_4) ).

tff(f635,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(hAPP(v_Q_H,X0),v_xb(v_P_H,v_Q_H)))
      | ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_xa)) ),
    inference(resolution,[],[f533,f529]) ).

tff(f533,axiom,
    ! [X71: $i,X76: $i,X64: $i] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
      | ~ hBOOL(hAPP(hAPP(X64,X71),v_xa))
      | hBOOL(hAPP(hAPP(X76,X71),v_xb(X64,X76))) ),
    file('/export/starexec/sandbox2/tmp/tmp.eBtkXTsEz5/Vampire---4.8_3325',cls_conjecture_5) ).

tff(f639,plain,
    ~ spl1_2,
    inference(avatar_split_clause,[],[f636,f626]) ).

tff(f626,plain,
    ( spl1_2
  <=> hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f636,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    inference(resolution,[],[f634,f630]) ).

tff(f630,plain,
    ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))),
    inference(resolution,[],[f531,f528]) ).

tff(f528,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox2/tmp/tmp.eBtkXTsEz5/Vampire---4.8_3325',cls_conjecture_0) ).

tff(f531,axiom,
    ! [X76: $i,X64: $i] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
      | ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X64,X76))) ),
    file('/export/starexec/sandbox2/tmp/tmp.eBtkXTsEz5/Vampire---4.8_3325',cls_conjecture_3) ).

tff(f634,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(hAPP(v_Q,X0),v_xb(v_P,v_Q)))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa)) ),
    inference(resolution,[],[f533,f528]) ).

tff(f629,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f530,f626,f622]) ).

tff(f530,axiom,
    ( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
    | hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
    file('/export/starexec/sandbox2/tmp/tmp.eBtkXTsEz5/Vampire---4.8_3325',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV911-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n015.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   : Tue Apr 30 18:52:18 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN 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.eBtkXTsEz5/Vampire---4.8_3325
% 0.62/0.84  % (3556)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)
% 0.62/0.84  % (3558)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.84  % (3557)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)
% 0.62/0.84  % (3559)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)
% 0.62/0.84  % (3560)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)
% 0.62/0.84  % (3561)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)
% 0.62/0.84  % (3562)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)
% 0.62/0.84  % (3563)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)
% 0.62/0.85  % (3556)First to succeed.
% 0.62/0.85  % (3563)Also succeeded, but the first one will report.
% 0.62/0.85  % (3556)Refutation found. Thanks to Tanya!
% 0.62/0.85  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.85  % (3556)------------------------------
% 0.62/0.85  % (3556)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85  % (3556)Termination reason: Refutation
% 0.62/0.85  
% 0.62/0.85  % (3556)Memory used [KB]: 1378
% 0.62/0.85  % (3556)Time elapsed: 0.008 s
% 0.62/0.85  % (3556)Instructions burned: 12 (million)
% 0.62/0.85  % (3556)------------------------------
% 0.62/0.85  % (3556)------------------------------
% 0.62/0.85  % (3511)Success in time 0.472 s
% 0.62/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------