TSTP Solution File: CSR113+22 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR113+22 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art01.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 07:10:24 EST 2010

% Result   : Theorem 242.12s
% Output   : CNFRefutation 242.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   43 (  14 unt;   0 def)
%            Number of atoms       :  388 (   0 equ)
%            Maximal formula atoms :  262 (   9 avg)
%            Number of connectives :  415 (  70   ~;  57   |; 284   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  262 (  11 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   3 prp; 0-9 aty)
%            Number of functors    :   64 (  64 usr;  62 con; 0-3 aty)
%            Number of variables   :   81 (  15 sgn  40   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(9,axiom,
    ! [X1,X2] : member(X1,cons(X1,X2)),
    file('/tmp/tmp3UUkiv/sel_CSR113+22.p_5',member_first) ).

fof(17,axiom,
    ! [X1,X2,X3] :
      ( ( attr(X3,X1)
        & member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        & sub(X1,X2) )
     => ? [X4] :
          ( mcont(X4,X3)
          & obj(X4,X3)
          & scar(X4,X3)
          & subs(X4,stehen_1_b) ) ),
    file('/tmp/tmp3UUkiv/sel_CSR113+22.p_5',attr_name__abk__374rzung_stehen_1_b_f__374r) ).

fof(64,axiom,
    ! [X1,X2,X3] :
      ( member(X1,X3)
     => member(X1,cons(X2,X3)) ),
    file('/tmp/tmp3UUkiv/sel_CSR113+22.p_5',member_second) ).

fof(120,conjecture,
    ? [X1,X2,X3,X4] :
      ( attr(X2,X1)
      & scar(X3,X4)
      & sub(X1,name_1_1)
      & val(X1,new_york_0) ),
    file('/tmp/tmp3UUkiv/sel_CSR113+22.p_5',synth_qa07_003_mira_wp_245_a19713) ).

fof(121,axiom,
    ( tupl_p9(c188,c28,c39,c56,c69,c74,c79,c83,c92)
    & sub(c28,freiheitsinsel_1_1)
    & pred(c39,bedloe_1_1)
    & attr(c56,c57)
    & sub(c56,gebietsinstitution_1_1)
    & sub(c57,name_1_1)
    & val(c57,island_0)
    & prop(c69,klein_1_1)
    & prop(c69,unbesiedelt_1_1)
    & sub(c69,insel__1_1)
    & sub(c74,upper_1_1)
    & attr(c79,c80)
    & sub(c79,stadt__1_1)
    & sub(c80,name_1_1)
    & val(c80,new_york_0)
    & attr(c83,c84)
    & sub(c83,mensch_1_1)
    & sub(c84,familiename_1_1)
    & val(c84,bay_0)
    & sub(c92,standort_1_1)
    & attch(c96,c92)
    & sub(c96,freiheitsstatue_1_1)
    & assoc(freiheitsinsel_1_1,freiheit_1_1)
    & sub(freiheitsinsel_1_1,insel__1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(standort_1_1,stand_1_1)
    & sub(standort_1_1,ort_1_2)
    & sort(c188,ent)
    & card(c188,card_c)
    & etype(c188,etype_c)
    & fact(c188,real)
    & gener(c188,gener_c)
    & quant(c188,quant_c)
    & refer(c188,refer_c)
    & varia(c188,varia_c)
    & sort(c28,d)
    & card(c28,int1)
    & etype(c28,int0)
    & fact(c28,real)
    & gener(c28,gener_c)
    & quant(c28,one)
    & refer(c28,refer_c)
    & varia(c28,varia_c)
    & sort(c39,o)
    & card(c39,cons(x_constant,cons(int1,nil)))
    & etype(c39,int1)
    & fact(c39,real)
    & gener(c39,gener_c)
    & quant(c39,mult)
    & refer(c39,indet)
    & varia(c39,varia_c)
    & sort(c56,d)
    & sort(c56,io)
    & card(c56,int1)
    & etype(c56,int0)
    & fact(c56,real)
    & gener(c56,sp)
    & quant(c56,one)
    & refer(c56,det)
    & varia(c56,con)
    & sort(c69,d)
    & card(c69,int1)
    & etype(c69,int0)
    & fact(c69,real)
    & gener(c69,sp)
    & quant(c69,one)
    & refer(c69,indet)
    & varia(c69,varia_c)
    & sort(c74,o)
    & card(c74,int1)
    & etype(c74,int0)
    & fact(c74,real)
    & gener(c74,sp)
    & quant(c74,one)
    & refer(c74,det)
    & varia(c74,con)
    & sort(c79,d)
    & sort(c79,io)
    & card(c79,int1)
    & etype(c79,int0)
    & fact(c79,real)
    & gener(c79,sp)
    & quant(c79,one)
    & refer(c79,det)
    & varia(c79,con)
    & sort(c83,d)
    & card(c83,int1)
    & etype(c83,int0)
    & fact(c83,real)
    & gener(c83,sp)
    & quant(c83,one)
    & refer(c83,det)
    & varia(c83,con)
    & sort(c92,d)
    & card(c92,int1)
    & etype(c92,int0)
    & fact(c92,real)
    & gener(c92,sp)
    & quant(c92,one)
    & refer(c92,det)
    & varia(c92,varia_c)
    & sort(freiheitsinsel_1_1,d)
    & card(freiheitsinsel_1_1,int1)
    & etype(freiheitsinsel_1_1,int0)
    & fact(freiheitsinsel_1_1,real)
    & gener(freiheitsinsel_1_1,ge)
    & quant(freiheitsinsel_1_1,one)
    & refer(freiheitsinsel_1_1,refer_c)
    & varia(freiheitsinsel_1_1,varia_c)
    & sort(bedloe_1_1,o)
    & card(bedloe_1_1,int1)
    & etype(bedloe_1_1,int0)
    & fact(bedloe_1_1,real)
    & gener(bedloe_1_1,ge)
    & quant(bedloe_1_1,one)
    & refer(bedloe_1_1,refer_c)
    & varia(bedloe_1_1,varia_c)
    & sort(c57,na)
    & card(c57,int1)
    & etype(c57,int0)
    & fact(c57,real)
    & gener(c57,sp)
    & quant(c57,one)
    & refer(c57,indet)
    & varia(c57,varia_c)
    & sort(gebietsinstitution_1_1,d)
    & sort(gebietsinstitution_1_1,io)
    & card(gebietsinstitution_1_1,int1)
    & etype(gebietsinstitution_1_1,int0)
    & fact(gebietsinstitution_1_1,real)
    & gener(gebietsinstitution_1_1,ge)
    & quant(gebietsinstitution_1_1,one)
    & refer(gebietsinstitution_1_1,refer_c)
    & varia(gebietsinstitution_1_1,varia_c)
    & sort(name_1_1,na)
    & card(name_1_1,int1)
    & etype(name_1_1,int0)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & quant(name_1_1,one)
    & refer(name_1_1,refer_c)
    & varia(name_1_1,varia_c)
    & sort(island_0,fe)
    & sort(klein_1_1,mq)
    & sort(unbesiedelt_1_1,ql)
    & sort(insel__1_1,d)
    & card(insel__1_1,int1)
    & etype(insel__1_1,int0)
    & fact(insel__1_1,real)
    & gener(insel__1_1,ge)
    & quant(insel__1_1,one)
    & refer(insel__1_1,refer_c)
    & varia(insel__1_1,varia_c)
    & sort(upper_1_1,o)
    & card(upper_1_1,int1)
    & etype(upper_1_1,int0)
    & fact(upper_1_1,real)
    & gener(upper_1_1,ge)
    & quant(upper_1_1,one)
    & refer(upper_1_1,refer_c)
    & varia(upper_1_1,varia_c)
    & sort(c80,na)
    & card(c80,int1)
    & etype(c80,int0)
    & fact(c80,real)
    & gener(c80,sp)
    & quant(c80,one)
    & refer(c80,indet)
    & varia(c80,varia_c)
    & sort(stadt__1_1,d)
    & sort(stadt__1_1,io)
    & card(stadt__1_1,int1)
    & etype(stadt__1_1,int0)
    & fact(stadt__1_1,real)
    & gener(stadt__1_1,ge)
    & quant(stadt__1_1,one)
    & refer(stadt__1_1,refer_c)
    & varia(stadt__1_1,varia_c)
    & sort(new_york_0,fe)
    & sort(c84,na)
    & card(c84,int1)
    & etype(c84,int0)
    & fact(c84,real)
    & gener(c84,sp)
    & quant(c84,one)
    & refer(c84,indet)
    & varia(c84,varia_c)
    & sort(mensch_1_1,d)
    & card(mensch_1_1,int1)
    & etype(mensch_1_1,int0)
    & fact(mensch_1_1,real)
    & gener(mensch_1_1,ge)
    & quant(mensch_1_1,one)
    & refer(mensch_1_1,refer_c)
    & varia(mensch_1_1,varia_c)
    & sort(familiename_1_1,na)
    & card(familiename_1_1,int1)
    & etype(familiename_1_1,int0)
    & fact(familiename_1_1,real)
    & gener(familiename_1_1,ge)
    & quant(familiename_1_1,one)
    & refer(familiename_1_1,refer_c)
    & varia(familiename_1_1,varia_c)
    & sort(bay_0,fe)
    & sort(standort_1_1,d)
    & card(standort_1_1,int1)
    & etype(standort_1_1,int0)
    & fact(standort_1_1,real)
    & gener(standort_1_1,ge)
    & quant(standort_1_1,one)
    & refer(standort_1_1,refer_c)
    & varia(standort_1_1,varia_c)
    & sort(c96,d)
    & card(c96,int1)
    & etype(c96,int0)
    & fact(c96,real)
    & gener(c96,sp)
    & quant(c96,one)
    & refer(c96,det)
    & varia(c96,con)
    & sort(freiheitsstatue_1_1,d)
    & card(freiheitsstatue_1_1,int1)
    & etype(freiheitsstatue_1_1,int0)
    & fact(freiheitsstatue_1_1,real)
    & gener(freiheitsstatue_1_1,ge)
    & quant(freiheitsstatue_1_1,one)
    & refer(freiheitsstatue_1_1,refer_c)
    & varia(freiheitsstatue_1_1,varia_c)
    & sort(freiheit_1_1,as)
    & sort(freiheit_1_1,io)
    & card(freiheit_1_1,int1)
    & etype(freiheit_1_1,int0)
    & fact(freiheit_1_1,real)
    & gener(freiheit_1_1,ge)
    & quant(freiheit_1_1,one)
    & refer(freiheit_1_1,refer_c)
    & varia(freiheit_1_1,varia_c)
    & sort(statue_1_1,d)
    & card(statue_1_1,int1)
    & etype(statue_1_1,int0)
    & fact(statue_1_1,real)
    & gener(statue_1_1,ge)
    & quant(statue_1_1,one)
    & refer(statue_1_1,refer_c)
    & varia(statue_1_1,varia_c)
    & sort(stand_1_1,d)
    & card(stand_1_1,int1)
    & etype(stand_1_1,int0)
    & fact(stand_1_1,real)
    & gener(stand_1_1,ge)
    & quant(stand_1_1,one)
    & refer(stand_1_1,refer_c)
    & varia(stand_1_1,varia_c)
    & sort(ort_1_2,d)
    & card(ort_1_2,int1)
    & etype(ort_1_2,int0)
    & fact(ort_1_2,real)
    & gener(ort_1_2,ge)
    & quant(ort_1_2,one)
    & refer(ort_1_2,refer_c)
    & varia(ort_1_2,varia_c) ),
    file('/tmp/tmp3UUkiv/sel_CSR113+22.p_5',ave07_era5_synth_qa07_003_mira_wp_245_a19713) ).

fof(122,negated_conjecture,
    ~ ? [X1,X2,X3,X4] :
        ( attr(X2,X1)
        & scar(X3,X4)
        & sub(X1,name_1_1)
        & val(X1,new_york_0) ),
    inference(assume_negation,[status(cth)],[120]) ).

fof(165,plain,
    ! [X3,X4] : member(X3,cons(X3,X4)),
    inference(variable_rename,[status(thm)],[9]) ).

cnf(166,plain,
    member(X1,cons(X1,X2)),
    inference(split_conjunct,[status(thm)],[165]) ).

fof(189,plain,
    ! [X1,X2,X3] :
      ( ~ attr(X3,X1)
      | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X1,X2)
      | ? [X4] :
          ( mcont(X4,X3)
          & obj(X4,X3)
          & scar(X4,X3)
          & subs(X4,stehen_1_b) ) ),
    inference(fof_nnf,[status(thm)],[17]) ).

fof(190,plain,
    ! [X5,X6,X7] :
      ( ~ attr(X7,X5)
      | ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X5,X6)
      | ? [X8] :
          ( mcont(X8,X7)
          & obj(X8,X7)
          & scar(X8,X7)
          & subs(X8,stehen_1_b) ) ),
    inference(variable_rename,[status(thm)],[189]) ).

fof(191,plain,
    ! [X5,X6,X7] :
      ( ~ attr(X7,X5)
      | ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X5,X6)
      | ( mcont(esk11_3(X5,X6,X7),X7)
        & obj(esk11_3(X5,X6,X7),X7)
        & scar(esk11_3(X5,X6,X7),X7)
        & subs(esk11_3(X5,X6,X7),stehen_1_b) ) ),
    inference(skolemize,[status(esa)],[190]) ).

fof(192,plain,
    ! [X5,X6,X7] :
      ( ( mcont(esk11_3(X5,X6,X7),X7)
        | ~ attr(X7,X5)
        | ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X5,X6) )
      & ( obj(esk11_3(X5,X6,X7),X7)
        | ~ attr(X7,X5)
        | ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X5,X6) )
      & ( scar(esk11_3(X5,X6,X7),X7)
        | ~ attr(X7,X5)
        | ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X5,X6) )
      & ( subs(esk11_3(X5,X6,X7),stehen_1_b)
        | ~ attr(X7,X5)
        | ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X5,X6) ) ),
    inference(distribute,[status(thm)],[191]) ).

cnf(194,plain,
    ( scar(esk11_3(X1,X2,X3),X3)
    | ~ sub(X1,X2)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(X3,X1) ),
    inference(split_conjunct,[status(thm)],[192]) ).

fof(351,plain,
    ! [X1,X2,X3] :
      ( ~ member(X1,X3)
      | member(X1,cons(X2,X3)) ),
    inference(fof_nnf,[status(thm)],[64]) ).

fof(352,plain,
    ! [X4,X5,X6] :
      ( ~ member(X4,X6)
      | member(X4,cons(X5,X6)) ),
    inference(variable_rename,[status(thm)],[351]) ).

cnf(353,plain,
    ( member(X1,cons(X2,X3))
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[352]) ).

fof(533,negated_conjecture,
    ! [X1,X2,X3,X4] :
      ( ~ attr(X2,X1)
      | ~ scar(X3,X4)
      | ~ sub(X1,name_1_1)
      | ~ val(X1,new_york_0) ),
    inference(fof_nnf,[status(thm)],[122]) ).

fof(534,negated_conjecture,
    ! [X5,X6,X7,X8] :
      ( ~ attr(X6,X5)
      | ~ scar(X7,X8)
      | ~ sub(X5,name_1_1)
      | ~ val(X5,new_york_0) ),
    inference(variable_rename,[status(thm)],[533]) ).

cnf(535,negated_conjecture,
    ( ~ val(X1,new_york_0)
    | ~ sub(X1,name_1_1)
    | ~ scar(X2,X3)
    | ~ attr(X4,X1) ),
    inference(split_conjunct,[status(thm)],[534]) ).

cnf(780,plain,
    sub(c84,familiename_1_1),
    inference(split_conjunct,[status(thm)],[121]) ).

cnf(782,plain,
    attr(c83,c84),
    inference(split_conjunct,[status(thm)],[121]) ).

cnf(783,plain,
    val(c80,new_york_0),
    inference(split_conjunct,[status(thm)],[121]) ).

cnf(784,plain,
    sub(c80,name_1_1),
    inference(split_conjunct,[status(thm)],[121]) ).

cnf(786,plain,
    attr(c79,c80),
    inference(split_conjunct,[status(thm)],[121]) ).

fof(903,plain,
    ( ~ epred1_0
  <=> ! [X4,X1] :
        ( ~ attr(X4,X1)
        | ~ sub(X1,name_1_1)
        | ~ val(X1,new_york_0) ) ),
    introduced(definition),
    [split] ).

cnf(904,plain,
    ( epred1_0
    | ~ attr(X4,X1)
    | ~ sub(X1,name_1_1)
    | ~ val(X1,new_york_0) ),
    inference(split_equiv,[status(thm)],[903]) ).

fof(905,plain,
    ( ~ epred2_0
  <=> ! [X3,X2] : ~ scar(X2,X3) ),
    introduced(definition),
    [split] ).

cnf(906,plain,
    ( epred2_0
    | ~ scar(X2,X3) ),
    inference(split_equiv,[status(thm)],[905]) ).

cnf(907,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[535,903,theory(equality)]),905,theory(equality)]),
    [split] ).

cnf(1202,negated_conjecture,
    ( epred2_0
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ sub(X1,X2)
    | ~ attr(X3,X1) ),
    inference(spm,[status(thm)],[906,194,theory(equality)]) ).

cnf(1203,plain,
    ( epred1_0
    | ~ sub(c80,name_1_1)
    | ~ attr(X1,c80) ),
    inference(spm,[status(thm)],[904,783,theory(equality)]) ).

cnf(1207,plain,
    ( epred1_0
    | $false
    | ~ attr(X1,c80) ),
    inference(rw,[status(thm)],[1203,784,theory(equality)]) ).

cnf(1208,plain,
    ( epred1_0
    | ~ attr(X1,c80) ),
    inference(cn,[status(thm)],[1207,theory(equality)]) ).

cnf(1209,plain,
    epred1_0,
    inference(spm,[status(thm)],[1208,786,theory(equality)]) ).

cnf(1212,negated_conjecture,
    ( ~ epred2_0
    | $false ),
    inference(rw,[status(thm)],[907,1209,theory(equality)]) ).

cnf(1213,negated_conjecture,
    ~ epred2_0,
    inference(cn,[status(thm)],[1212,theory(equality)]) ).

cnf(1242,negated_conjecture,
    ( ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ sub(X1,X2)
    | ~ attr(X3,X1) ),
    inference(sr,[status(thm)],[1202,1213,theory(equality)]) ).

cnf(1244,negated_conjecture,
    ( ~ sub(X2,X1)
    | ~ attr(X3,X2)
    | ~ member(X1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(spm,[status(thm)],[1242,353,theory(equality)]) ).

cnf(1253,negated_conjecture,
    ( ~ sub(X1,familiename_1_1)
    | ~ attr(X2,X1) ),
    inference(spm,[status(thm)],[1244,166,theory(equality)]) ).

cnf(1258,plain,
    ~ sub(c84,familiename_1_1),
    inference(spm,[status(thm)],[1253,782,theory(equality)]) ).

cnf(1261,plain,
    $false,
    inference(rw,[status(thm)],[1258,780,theory(equality)]) ).

cnf(1262,plain,
    $false,
    inference(cn,[status(thm)],[1261,theory(equality)]) ).

cnf(1263,plain,
    $false,
    1262,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR113+22.p
% --creating new selector for [CSR004+0.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmp3UUkiv/sel_CSR113+22.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmp3UUkiv/sel_CSR113+22.p_2 with time limit 80
% -prover status ResourceOut
% --creating new selector for [CSR004+0.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmp3UUkiv/sel_CSR113+22.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [CSR004+0.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmp3UUkiv/sel_CSR113+22.p_4 with time limit 55
% -prover status ResourceOut
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmp3UUkiv/sel_CSR113+22.p_5 with time limit 54
% -prover status Theorem
% Problem CSR113+22.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR113+22.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR113+22.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------