TSTP Solution File: SWW473+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW473+2 : TPTP v8.1.2. 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 : n023.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 04:19:07 EDT 2024

% Result   : Theorem 0.67s 0.86s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   51 (   5 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   50 (  22   ~;  16   |;   6   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2531,plain,
    $false,
    inference(subsumption_resolution,[],[f2519,f1685]) ).

fof(f1685,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    inference(cnf_transformation,[],[f915]) ).

fof(f915,axiom,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    file('/export/starexec/sandbox2/tmp/tmp.lgGgvKVnsg/Vampire---4.8_7115',conj_4) ).

fof(f2519,plain,
    ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    inference(resolution,[],[f2488,f2145]) ).

fof(f2145,plain,
    ! [X2,X3,X0] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X2,X3)),image_pname_a(X2,X0)))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0)) ),
    inference(equality_resolution,[],[f1774]) ).

fof(f1774,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0)))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
      | hAPP_pname_a(X2,X3) != X1 ),
    inference(cnf_transformation,[],[f1284]) ).

fof(f1284,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0)))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
      | hAPP_pname_a(X2,X3) != X1 ),
    inference(flattening,[],[f1283]) ).

fof(f1283,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0)))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
      | hAPP_pname_a(X2,X3) != X1 ),
    inference(ennf_transformation,[],[f967]) ).

fof(f967,plain,
    ! [X0,X1,X2,X3] :
      ( hAPP_pname_a(X2,X3) = X1
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
       => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0))) ) ),
    inference(rectify,[],[f319]) ).

fof(f319,axiom,
    ! [X4,X30,X8,X10] :
      ( hAPP_pname_a(X8,X10) = X30
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X10),X4))
       => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X30),image_pname_a(X8,X4))) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lgGgvKVnsg/Vampire---4.8_7115',fact_215_image__eqI) ).

fof(f2488,plain,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))),
    inference(subsumption_resolution,[],[f2485,f1682]) ).

fof(f1682,plain,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f912]) ).

fof(f912,axiom,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    file('/export/starexec/sandbox2/tmp/tmp.lgGgvKVnsg/Vampire---4.8_7115',conj_1) ).

fof(f2485,plain,
    ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u)))
    | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))) ),
    inference(resolution,[],[f1687,f1742]) ).

fof(f1742,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) ),
    inference(cnf_transformation,[],[f1555]) ).

fof(f1555,plain,
    ! [X0,X1,X2] :
      ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
      & ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
          & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2)) ) ),
    inference(flattening,[],[f1554]) ).

fof(f1554,plain,
    ! [X0,X1,X2] :
      ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
      & ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
          & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2)) ) ),
    inference(nnf_transformation,[],[f948]) ).

fof(f948,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
    <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
        & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) ) ),
    inference(rectify,[],[f428]) ).

fof(f428,axiom,
    ! [X10,X4,X9] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X10,X4)),X9))
    <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X4),X9))
        & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X10),X9)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lgGgvKVnsg/Vampire---4.8_7115',fact_324_insert__subset) ).

fof(f1687,plain,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f919]) ).

fof(f919,plain,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
    inference(flattening,[],[f918]) ).

fof(f918,negated_conjecture,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
    inference(negated_conjecture,[],[f917]) ).

fof(f917,conjecture,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
    file('/export/starexec/sandbox2/tmp/tmp.lgGgvKVnsg/Vampire---4.8_7115',conj_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SWW473+2 : TPTP v8.1.2. Released v5.3.0.
% 0.02/0.11  % 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
% 0.09/0.30  % Computer : n023.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Apr 30 18:14:55 EDT 2024
% 0.09/0.31  % CPUTime    : 
% 0.09/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.09/0.31  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.lgGgvKVnsg/Vampire---4.8_7115
% 0.60/0.84  % (7227)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.60/0.84  % (7229)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)
% 0.60/0.84  % (7226)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)
% 0.60/0.84  % (7228)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)
% 0.60/0.84  % (7230)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)
% 0.60/0.84  % (7225)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)
% 0.60/0.84  % (7232)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)
% 0.60/0.84  % (7231)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)
% 0.67/0.85  % (7225)Instruction limit reached!
% 0.67/0.85  % (7225)------------------------------
% 0.67/0.85  % (7225)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85  % (7225)Termination reason: Unknown
% 0.67/0.85  % (7225)Termination phase: Property scanning
% 0.67/0.85  
% 0.67/0.85  % (7225)Memory used [KB]: 2366
% 0.67/0.85  % (7225)Time elapsed: 0.017 s
% 0.67/0.85  % (7225)Instructions burned: 34 (million)
% 0.67/0.85  % (7225)------------------------------
% 0.67/0.85  % (7225)------------------------------
% 0.67/0.85  % (7229)Instruction limit reached!
% 0.67/0.85  % (7229)------------------------------
% 0.67/0.85  % (7229)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85  % (7229)Termination reason: Unknown
% 0.67/0.85  % (7229)Termination phase: Clausification
% 0.67/0.85  
% 0.67/0.85  % (7229)Memory used [KB]: 3142
% 0.67/0.85  % (7229)Time elapsed: 0.017 s
% 0.67/0.85  % (7229)Instructions burned: 35 (million)
% 0.67/0.85  % (7229)------------------------------
% 0.67/0.85  % (7229)------------------------------
% 0.67/0.85  % (7228)Instruction limit reached!
% 0.67/0.85  % (7228)------------------------------
% 0.67/0.85  % (7228)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85  % (7228)Termination reason: Unknown
% 0.67/0.85  % (7228)Termination phase: Saturation
% 0.67/0.85  
% 0.67/0.85  % (7228)Memory used [KB]: 2360
% 0.67/0.85  % (7228)Time elapsed: 0.019 s
% 0.67/0.85  % (7228)Instructions burned: 33 (million)
% 0.67/0.85  % (7228)------------------------------
% 0.67/0.85  % (7228)------------------------------
% 0.67/0.86  % (7233)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 Vampire---4 for (2994ds/55Mi)
% 0.67/0.86  % (7234)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.67/0.86  % (7232)First to succeed.
% 0.67/0.86  % (7235)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.67/0.86  % (7230)Instruction limit reached!
% 0.67/0.86  % (7230)------------------------------
% 0.67/0.86  % (7230)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.86  % (7230)Termination reason: Unknown
% 0.67/0.86  % (7230)Termination phase: Saturation
% 0.67/0.86  
% 0.67/0.86  % (7230)Memory used [KB]: 2727
% 0.67/0.86  % (7230)Time elapsed: 0.023 s
% 0.67/0.86  % (7230)Instructions burned: 45 (million)
% 0.67/0.86  % (7230)------------------------------
% 0.67/0.86  % (7230)------------------------------
% 0.67/0.86  % (7232)Refutation found. Thanks to Tanya!
% 0.67/0.86  % SZS status Theorem for Vampire---4
% 0.67/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.86  % (7232)------------------------------
% 0.67/0.86  % (7232)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.86  % (7232)Termination reason: Refutation
% 0.67/0.86  
% 0.67/0.86  % (7232)Memory used [KB]: 2485
% 0.67/0.86  % (7232)Time elapsed: 0.022 s
% 0.67/0.86  % (7232)Instructions burned: 44 (million)
% 0.67/0.86  % (7232)------------------------------
% 0.67/0.86  % (7232)------------------------------
% 0.67/0.86  % (7224)Success in time 0.538 s
% 0.67/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------