TSTP Solution File: CSR113+28 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR113+28 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art06.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 07:14:31 EST 2010

% Result   : Theorem 1.43s
% Output   : CNFRefutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   44 (  11 unt;   0 def)
%            Number of atoms       :  291 (   0 equ)
%            Maximal formula atoms :  148 (   6 avg)
%            Number of connectives :  333 (  86   ~;  68   |; 175   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  148 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   29 (  28 usr;   3 prp; 0-3 aty)
%            Number of functors    :   52 (  52 usr;  51 con; 0-2 aty)
%            Number of variables   :   79 (   4 sgn  33   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(13,axiom,
    ! [X1,X2] :
      ( loc(X1,X2)
     => ? [X3] :
          ( loc(X3,X2)
          & scar(X3,X1)
          & subs(X3,stehen_1_1) ) ),
    file('/tmp/tmpBg8-fN/sel_CSR113+28.p_1',loc__stehen_1_1_loc) ).

fof(49,axiom,
    ! [X1,X2] :
      ( ( in(X1,X2)
        | an(X1,X2)
        | bei(X1,X2) )
     => flp(X1,X2) ),
    file('/tmp/tmpBg8-fN/sel_CSR113+28.p_1',local_function___flp) ).

fof(68,axiom,
    ( arg1(c23,c4)
    & arg2(c23,c56)
    & assoc(c23,c39)
    & subr(c23,prop_0)
    & quant_p3(c39,c25,meter_1_1)
    & prop(c4,c56)
    & sub(c4,figur_1_1)
    & loc(c44,c58)
    & sub(c44,freiheitsstatue_1_1)
    & sub(c49,bootshafen_1_1)
    & attch(c54,c49)
    & attr(c54,c55)
    & sub(c54,stadt__1_1)
    & sub(c55,name_1_1)
    & val(c55,new_york_0)
    & comp(c56,klein_1_1,c44)
    & in(c58,c49)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & sort(c23,st)
    & fact(c23,real)
    & gener(c23,sp)
    & sort(c4,d)
    & card(c4,int1)
    & etype(c4,int0)
    & fact(c4,real)
    & gener(c4,sp)
    & quant(c4,one)
    & refer(c4,det)
    & varia(c4,con)
    & sort(c56,tq)
    & sort(c39,co)
    & sort(c39,m)
    & card(c39,card_c)
    & etype(c39,etype_c)
    & fact(c39,real)
    & gener(c39,gener_c)
    & quant(c39,quant_c)
    & refer(c39,refer_c)
    & varia(c39,con)
    & sort(prop_0,st)
    & fact(prop_0,real)
    & gener(prop_0,gener_c)
    & sort(c25,nu)
    & card(c25,int5)
    & sort(meter_1_1,me)
    & gener(meter_1_1,ge)
    & sort(figur_1_1,d)
    & card(figur_1_1,int1)
    & etype(figur_1_1,int0)
    & fact(figur_1_1,real)
    & gener(figur_1_1,ge)
    & quant(figur_1_1,one)
    & refer(figur_1_1,refer_c)
    & varia(figur_1_1,varia_c)
    & sort(c44,d)
    & card(c44,int1)
    & etype(c44,int0)
    & fact(c44,real)
    & gener(c44,sp)
    & quant(c44,one)
    & refer(c44,det)
    & varia(c44,con)
    & sort(c58,l)
    & card(c58,int1)
    & etype(c58,int0)
    & fact(c58,real)
    & gener(c58,sp)
    & quant(c58,one)
    & refer(c58,det)
    & varia(c58,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(c49,d)
    & card(c49,int1)
    & etype(c49,int0)
    & fact(c49,real)
    & gener(c49,sp)
    & quant(c49,one)
    & refer(c49,det)
    & varia(c49,con)
    & sort(bootshafen_1_1,d)
    & card(bootshafen_1_1,int1)
    & etype(bootshafen_1_1,int0)
    & fact(bootshafen_1_1,real)
    & gener(bootshafen_1_1,ge)
    & quant(bootshafen_1_1,one)
    & refer(bootshafen_1_1,refer_c)
    & varia(bootshafen_1_1,varia_c)
    & sort(c54,d)
    & sort(c54,io)
    & card(c54,int1)
    & etype(c54,int0)
    & fact(c54,real)
    & gener(c54,sp)
    & quant(c54,one)
    & refer(c54,det)
    & varia(c54,con)
    & sort(c55,na)
    & card(c55,int1)
    & etype(c55,int0)
    & fact(c55,real)
    & gener(c55,sp)
    & quant(c55,one)
    & refer(c55,indet)
    & varia(c55,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(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(new_york_0,fe)
    & sort(klein_1_1,mq)
    & 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) ),
    file('/tmp/tmpBg8-fN/sel_CSR113+28.p_1',ave07_era5_synth_qa07_003_qapn_31_a19713) ).

fof(69,conjecture,
    ? [X1,X2,X3,X4,X5] :
      ( flp(X1,X3)
      & loc(X4,X1)
      & scar(X4,X5)
      & sub(X2,name_1_1)
      & sub(X5,freiheitsstatue_1_1)
      & subs(X4,stehen_1_1)
      & val(X2,new_york_0) ),
    file('/tmp/tmpBg8-fN/sel_CSR113+28.p_1',synth_qa07_003_qapn_31_a19713) ).

fof(70,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5] :
        ( flp(X1,X3)
        & loc(X4,X1)
        & scar(X4,X5)
        & sub(X2,name_1_1)
        & sub(X5,freiheitsstatue_1_1)
        & subs(X4,stehen_1_1)
        & val(X2,new_york_0) ),
    inference(assume_negation,[status(cth)],[69]) ).

fof(100,plain,
    ! [X1,X2] :
      ( ~ loc(X1,X2)
      | ? [X3] :
          ( loc(X3,X2)
          & scar(X3,X1)
          & subs(X3,stehen_1_1) ) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(101,plain,
    ! [X4,X5] :
      ( ~ loc(X4,X5)
      | ? [X6] :
          ( loc(X6,X5)
          & scar(X6,X4)
          & subs(X6,stehen_1_1) ) ),
    inference(variable_rename,[status(thm)],[100]) ).

fof(102,plain,
    ! [X4,X5] :
      ( ~ loc(X4,X5)
      | ( loc(esk2_2(X4,X5),X5)
        & scar(esk2_2(X4,X5),X4)
        & subs(esk2_2(X4,X5),stehen_1_1) ) ),
    inference(skolemize,[status(esa)],[101]) ).

fof(103,plain,
    ! [X4,X5] :
      ( ( loc(esk2_2(X4,X5),X5)
        | ~ loc(X4,X5) )
      & ( scar(esk2_2(X4,X5),X4)
        | ~ loc(X4,X5) )
      & ( subs(esk2_2(X4,X5),stehen_1_1)
        | ~ loc(X4,X5) ) ),
    inference(distribute,[status(thm)],[102]) ).

cnf(104,plain,
    ( subs(esk2_2(X1,X2),stehen_1_1)
    | ~ loc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[103]) ).

cnf(105,plain,
    ( scar(esk2_2(X1,X2),X1)
    | ~ loc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[103]) ).

cnf(106,plain,
    ( loc(esk2_2(X1,X2),X2)
    | ~ loc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[103]) ).

fof(200,plain,
    ! [X1,X2] :
      ( ( ~ in(X1,X2)
        & ~ an(X1,X2)
        & ~ bei(X1,X2) )
      | flp(X1,X2) ),
    inference(fof_nnf,[status(thm)],[49]) ).

fof(201,plain,
    ! [X3,X4] :
      ( ( ~ in(X3,X4)
        & ~ an(X3,X4)
        & ~ bei(X3,X4) )
      | flp(X3,X4) ),
    inference(variable_rename,[status(thm)],[200]) ).

fof(202,plain,
    ! [X3,X4] :
      ( ( ~ in(X3,X4)
        | flp(X3,X4) )
      & ( ~ an(X3,X4)
        | flp(X3,X4) )
      & ( ~ bei(X3,X4)
        | flp(X3,X4) ) ),
    inference(distribute,[status(thm)],[201]) ).

cnf(205,plain,
    ( flp(X1,X2)
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[202]) ).

cnf(369,plain,
    in(c58,c49),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(371,plain,
    val(c55,new_york_0),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(372,plain,
    sub(c55,name_1_1),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(377,plain,
    sub(c44,freiheitsstatue_1_1),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(378,plain,
    loc(c44,c58),
    inference(split_conjunct,[status(thm)],[68]) ).

fof(386,negated_conjecture,
    ! [X1,X2,X3,X4,X5] :
      ( ~ flp(X1,X3)
      | ~ loc(X4,X1)
      | ~ scar(X4,X5)
      | ~ sub(X2,name_1_1)
      | ~ sub(X5,freiheitsstatue_1_1)
      | ~ subs(X4,stehen_1_1)
      | ~ val(X2,new_york_0) ),
    inference(fof_nnf,[status(thm)],[70]) ).

fof(387,negated_conjecture,
    ! [X6,X7,X8,X9,X10] :
      ( ~ flp(X6,X8)
      | ~ loc(X9,X6)
      | ~ scar(X9,X10)
      | ~ sub(X7,name_1_1)
      | ~ sub(X10,freiheitsstatue_1_1)
      | ~ subs(X9,stehen_1_1)
      | ~ val(X7,new_york_0) ),
    inference(variable_rename,[status(thm)],[386]) ).

cnf(388,negated_conjecture,
    ( ~ val(X1,new_york_0)
    | ~ subs(X2,stehen_1_1)
    | ~ sub(X3,freiheitsstatue_1_1)
    | ~ sub(X1,name_1_1)
    | ~ scar(X2,X3)
    | ~ loc(X2,X4)
    | ~ flp(X4,X5) ),
    inference(split_conjunct,[status(thm)],[387]) ).

fof(517,plain,
    ( ~ epred1_0
  <=> ! [X5,X2,X3,X4] :
        ( ~ subs(X2,stehen_1_1)
        | ~ loc(X2,X4)
        | ~ scar(X2,X3)
        | ~ sub(X3,freiheitsstatue_1_1)
        | ~ flp(X4,X5) ) ),
    introduced(definition),
    [split] ).

cnf(518,plain,
    ( epred1_0
    | ~ subs(X2,stehen_1_1)
    | ~ loc(X2,X4)
    | ~ scar(X2,X3)
    | ~ sub(X3,freiheitsstatue_1_1)
    | ~ flp(X4,X5) ),
    inference(split_equiv,[status(thm)],[517]) ).

fof(519,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( ~ sub(X1,name_1_1)
        | ~ val(X1,new_york_0) ) ),
    introduced(definition),
    [split] ).

cnf(520,plain,
    ( epred2_0
    | ~ sub(X1,name_1_1)
    | ~ val(X1,new_york_0) ),
    inference(split_equiv,[status(thm)],[519]) ).

cnf(521,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[388,517,theory(equality)]),519,theory(equality)]),
    [split] ).

cnf(528,plain,
    ( epred2_0
    | ~ sub(c55,name_1_1) ),
    inference(spm,[status(thm)],[520,371,theory(equality)]) ).

cnf(531,plain,
    ( epred2_0
    | $false ),
    inference(rw,[status(thm)],[528,372,theory(equality)]) ).

cnf(532,plain,
    epred2_0,
    inference(cn,[status(thm)],[531,theory(equality)]) ).

cnf(534,negated_conjecture,
    ( $false
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[521,532,theory(equality)]) ).

cnf(535,negated_conjecture,
    ~ epred1_0,
    inference(cn,[status(thm)],[534,theory(equality)]) ).

cnf(536,negated_conjecture,
    ( ~ subs(X2,stehen_1_1)
    | ~ loc(X2,X4)
    | ~ scar(X2,X3)
    | ~ sub(X3,freiheitsstatue_1_1)
    | ~ flp(X4,X5) ),
    inference(sr,[status(thm)],[518,535,theory(equality)]) ).

cnf(537,negated_conjecture,
    ( ~ sub(X3,freiheitsstatue_1_1)
    | ~ scar(X4,X3)
    | ~ loc(X4,X1)
    | ~ subs(X4,stehen_1_1)
    | ~ in(X1,X2) ),
    inference(spm,[status(thm)],[536,205,theory(equality)]) ).

cnf(538,plain,
    ( ~ sub(X1,freiheitsstatue_1_1)
    | ~ scar(X2,X1)
    | ~ loc(X2,c58)
    | ~ subs(X2,stehen_1_1) ),
    inference(spm,[status(thm)],[537,369,theory(equality)]) ).

cnf(541,plain,
    ( ~ sub(X1,freiheitsstatue_1_1)
    | ~ loc(esk2_2(X1,X2),c58)
    | ~ subs(esk2_2(X1,X2),stehen_1_1)
    | ~ loc(X1,X2) ),
    inference(spm,[status(thm)],[538,105,theory(equality)]) ).

cnf(542,plain,
    ( ~ sub(X1,freiheitsstatue_1_1)
    | ~ loc(esk2_2(X1,X2),c58)
    | ~ loc(X1,X2) ),
    inference(csr,[status(thm)],[541,104]) ).

cnf(543,plain,
    ( ~ sub(X1,freiheitsstatue_1_1)
    | ~ loc(X1,c58) ),
    inference(spm,[status(thm)],[542,106,theory(equality)]) ).

cnf(544,plain,
    ~ loc(c44,c58),
    inference(spm,[status(thm)],[543,377,theory(equality)]) ).

cnf(545,plain,
    $false,
    inference(rw,[status(thm)],[544,378,theory(equality)]) ).

cnf(546,plain,
    $false,
    inference(cn,[status(thm)],[545,theory(equality)]) ).

cnf(547,plain,
    $false,
    546,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR113+28.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpBg8-fN/sel_CSR113+28.p_1 with time limit 29
% -prover status Theorem
% Problem CSR113+28.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR113+28.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR113+28.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
% 
%------------------------------------------------------------------------------