TSTP Solution File: SWW474+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW474+1 : TPTP v8.2.0. Released v5.3.0.
% 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 : 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 : Tue May 21 07:00:19 EDT 2024

% Result   : Theorem 0.64s 0.81s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   39 (  17 unt;   0 def)
%            Number of atoms       :   85 (   8 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   85 (  39   ~;  31   |;   0   &)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   8 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1283,plain,
    $false,
    inference(subsumption_resolution,[],[f1282,f765]) ).

fof(f765,plain,
    hBOOL(hoare_165779456gleton),
    inference(cnf_transformation,[],[f421]) ).

fof(f421,axiom,
    hBOOL(hoare_165779456gleton),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f1282,plain,
    ~ hBOOL(hoare_165779456gleton),
    inference(subsumption_resolution,[],[f1281,f766]) ).

fof(f766,plain,
    hBOOL(wT_bodies),
    inference(cnf_transformation,[],[f422]) ).

fof(f422,axiom,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(f1281,plain,
    ( ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_165779456gleton) ),
    inference(subsumption_resolution,[],[f1280,f1105]) ).

fof(f1105,plain,
    hBOOL(wt(y)),
    inference(subsumption_resolution,[],[f1102,f766]) ).

fof(f1102,plain,
    ( hBOOL(wt(y))
    | ~ hBOOL(wT_bodies) ),
    inference(resolution,[],[f1016,f1017]) ).

fof(f1017,plain,
    ! [X0,X1] :
      ( ~ sQ16_eqProxy(hAPP_p799580910on_com(body,X0),some_com(X1))
      | hBOOL(wt(X1))
      | ~ hBOOL(wT_bodies) ),
    inference(equality_proxy_replacement,[],[f773,f1015]) ).

fof(f1015,plain,
    ! [X0,X1] :
      ( sQ16_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ16_eqProxy])]) ).

fof(f773,plain,
    ! [X0,X1] :
      ( hBOOL(wt(X1))
      | hAPP_p799580910on_com(body,X0) != some_com(X1)
      | ~ hBOOL(wT_bodies) ),
    inference(cnf_transformation,[],[f564]) ).

fof(f564,plain,
    ! [X0,X1] :
      ( hBOOL(wt(X1))
      | hAPP_p799580910on_com(body,X0) != some_com(X1)
      | ~ hBOOL(wT_bodies) ),
    inference(flattening,[],[f563]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( hBOOL(wt(X1))
      | hAPP_p799580910on_com(body,X0) != some_com(X1)
      | ~ hBOOL(wT_bodies) ),
    inference(ennf_transformation,[],[f431]) ).

fof(f431,plain,
    ! [X0,X1] :
      ( hBOOL(wT_bodies)
     => ( hAPP_p799580910on_com(body,X0) = some_com(X1)
       => hBOOL(wt(X1)) ) ),
    inference(rectify,[],[f342]) ).

fof(f342,axiom,
    ! [X28,X29] :
      ( hBOOL(wT_bodies)
     => ( hAPP_p799580910on_com(body,X28) = some_com(X29)
       => hBOOL(wt(X29)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).

fof(f1016,plain,
    sQ16_eqProxy(hAPP_p799580910on_com(body,pn),some_com(y)),
    inference(equality_proxy_replacement,[],[f770,f1015]) ).

fof(f770,plain,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(cnf_transformation,[],[f426]) ).

fof(f426,axiom,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).

fof(f1280,plain,
    ( ~ hBOOL(wt(y))
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_165779456gleton) ),
    inference(subsumption_resolution,[],[f1267,f898]) ).

fof(f898,plain,
    ! [X0] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)),
    inference(cnf_transformation,[],[f502]) ).

fof(f502,plain,
    ! [X0] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)),
    inference(rectify,[],[f54]) ).

fof(f54,axiom,
    ! [X2] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),bot_bo620288102e_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).

fof(f1267,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),bot_bo620288102e_bool))
    | ~ hBOOL(wt(y))
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_165779456gleton) ),
    inference(resolution,[],[f1128,f774]) ).

fof(f774,plain,
    ! [X0] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
      | ~ hBOOL(wt(X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_165779456gleton) ),
    inference(cnf_transformation,[],[f566]) ).

fof(f566,plain,
    ! [X0] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
      | ~ hBOOL(wt(X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_165779456gleton) ),
    inference(flattening,[],[f565]) ).

fof(f565,plain,
    ! [X0] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
      | ~ hBOOL(wt(X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_165779456gleton) ),
    inference(ennf_transformation,[],[f432]) ).

fof(f432,plain,
    ! [X0] :
      ( hBOOL(hoare_165779456gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(wt(X0))
         => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool))) ) ) ),
    inference(rectify,[],[f157]) ).

fof(f157,axiom,
    ! [X14] :
      ( hBOOL(hoare_165779456gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(wt(X14))
         => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X14),bot_bo620288102e_bool))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_MGF) ).

fof(f1128,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),X0))
      | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))) ),
    inference(resolution,[],[f772,f894]) ).

fof(f894,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2))
      | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
      | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
    inference(cnf_transformation,[],[f641]) ).

fof(f641,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2))
      | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
      | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
    inference(flattening,[],[f640]) ).

fof(f640,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2))
      | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
      | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
    inference(ennf_transformation,[],[f498]) ).

fof(f498,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
     => ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
       => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2)) ) ),
    inference(rectify,[],[f58]) ).

fof(f58,axiom,
    ! [X2,X5,X3] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X5),X3))
     => ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X5))
       => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).

fof(f772,plain,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    inference(cnf_transformation,[],[f430]) ).

fof(f430,plain,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    inference(flattening,[],[f429]) ).

fof(f429,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    inference(negated_conjecture,[],[f428]) ).

fof(f428,conjecture,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SWW474+1 : TPTP v8.2.0. Released v5.3.0.
% 0.04/0.16  % 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
% 0.16/0.37  % Computer : n015.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat May 18 20:52:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38  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/benchmark/theBenchmark.p
% 0.60/0.79  % (26365)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.60/0.79  % (26362)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.79  % (26360)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)
% 0.60/0.79  % (26364)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 theBenchmark for (2996ds/34Mi)
% 0.60/0.79  % (26367)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)
% 0.60/0.79  % (26366)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 theBenchmark for (2996ds/83Mi)
% 0.60/0.81  % (26363)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.60/0.81  % (26361)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)
% 0.60/0.81  % (26365)Instruction limit reached!
% 0.60/0.81  % (26365)------------------------------
% 0.60/0.81  % (26365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (26365)Termination reason: Unknown
% 0.60/0.81  % (26365)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (26365)Memory used [KB]: 2009
% 0.60/0.81  % (26365)Time elapsed: 0.017 s
% 0.60/0.81  % (26365)Instructions burned: 46 (million)
% 0.60/0.81  % (26365)------------------------------
% 0.60/0.81  % (26365)------------------------------
% 0.60/0.81  % (26367)First to succeed.
% 0.60/0.81  % (26367)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26359"
% 0.64/0.81  % (26368)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.64/0.81  % (26360)Instruction limit reached!
% 0.64/0.81  % (26360)------------------------------
% 0.64/0.81  % (26360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (26360)Termination reason: Unknown
% 0.64/0.81  % (26360)Termination phase: Saturation
% 0.64/0.81  
% 0.64/0.81  % (26360)Memory used [KB]: 1867
% 0.64/0.81  % (26360)Time elapsed: 0.021 s
% 0.64/0.81  % (26360)Instructions burned: 34 (million)
% 0.64/0.81  % (26360)------------------------------
% 0.64/0.81  % (26360)------------------------------
% 0.64/0.81  % (26367)Refutation found. Thanks to Tanya!
% 0.64/0.81  % SZS status Theorem for theBenchmark
% 0.64/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.81  % (26367)------------------------------
% 0.64/0.81  % (26367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (26367)Termination reason: Refutation
% 0.64/0.81  
% 0.64/0.81  % (26367)Memory used [KB]: 1687
% 0.64/0.81  % (26367)Time elapsed: 0.018 s
% 0.64/0.81  % (26367)Instructions burned: 27 (million)
% 0.64/0.81  % (26359)Success in time 0.421 s
% 0.64/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------