TSTP Solution File: CSR115+30 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR115+30 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art09.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 07:34:47 EST 2010

% Result   : Theorem 1.36s
% Output   : CNFRefutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   34 (  10 unt;   0 def)
%            Number of atoms       :  223 (   0 equ)
%            Maximal formula atoms :  131 (   6 avg)
%            Number of connectives :  248 (  59   ~;  45   |; 140   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  131 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   4 prp; 0-6 aty)
%            Number of functors    :   43 (  43 usr;  43 con; 0-0 aty)
%            Number of variables   :   67 (  16 sgn  27   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(43,axiom,
    ! [X1,X2] :
      ( card(X1,X2)
     => has_card_leq(X1,X2) ),
    file('/tmp/tmpeC1PbZ/sel_CSR115+30.p_1',has_card_eq) ).

fof(59,axiom,
    ( tupl_p6(c279,c69,c78,c83,c88,c96)
    & sub(c69,zeitraum_1_1)
    & sub(c73,anfang_1_1)
    & assoc(c78,c73)
    & attr(c78,c79)
    & sub(c79,jahr__1_1)
    & val(c79,c74)
    & sub(c83,bmw_1_1)
    & sub(c88,kurs_1_1)
    & quant_p3(c96,c92,mark_1_1)
    & sort(c279,ent)
    & card(c279,card_c)
    & etype(c279,etype_c)
    & fact(c279,real)
    & gener(c279,gener_c)
    & quant(c279,quant_c)
    & refer(c279,refer_c)
    & varia(c279,varia_c)
    & sort(c69,ta)
    & card(c69,int1)
    & etype(c69,int0)
    & fact(c69,real)
    & gener(c69,sp)
    & quant(c69,one)
    & refer(c69,det)
    & varia(c69,con)
    & sort(c78,t)
    & card(c78,int1)
    & etype(c78,int0)
    & fact(c78,real)
    & gener(c78,sp)
    & quant(c78,one)
    & refer(c78,det)
    & varia(c78,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(c88,ad)
    & sort(c88,d)
    & sort(c88,io)
    & card(c88,int1)
    & etype(c88,int0)
    & fact(c88,real)
    & gener(c88,gener_c)
    & quant(c88,one)
    & refer(c88,refer_c)
    & varia(c88,varia_c)
    & sort(c96,co)
    & sort(c96,m)
    & card(c96,card_c)
    & etype(c96,etype_c)
    & fact(c96,real)
    & gener(c96,gener_c)
    & quant(c96,quant_c)
    & refer(c96,refer_c)
    & varia(c96,con)
    & sort(zeitraum_1_1,ta)
    & card(zeitraum_1_1,int1)
    & etype(zeitraum_1_1,int0)
    & fact(zeitraum_1_1,real)
    & gener(zeitraum_1_1,ge)
    & quant(zeitraum_1_1,one)
    & refer(zeitraum_1_1,refer_c)
    & varia(zeitraum_1_1,varia_c)
    & sort(c73,ad)
    & sort(c73,io)
    & card(c73,int1)
    & etype(c73,int0)
    & fact(c73,real)
    & gener(c73,gener_c)
    & quant(c73,one)
    & refer(c73,refer_c)
    & varia(c73,varia_c)
    & sort(anfang_1_1,ad)
    & sort(anfang_1_1,io)
    & card(anfang_1_1,int1)
    & etype(anfang_1_1,int0)
    & fact(anfang_1_1,real)
    & gener(anfang_1_1,ge)
    & quant(anfang_1_1,one)
    & refer(anfang_1_1,refer_c)
    & varia(anfang_1_1,varia_c)
    & sort(c79,me)
    & sort(c79,oa)
    & sort(c79,ta)
    & card(c79,card_c)
    & etype(c79,etype_c)
    & fact(c79,real)
    & gener(c79,sp)
    & quant(c79,quant_c)
    & refer(c79,refer_c)
    & varia(c79,varia_c)
    & sort(jahr__1_1,me)
    & sort(jahr__1_1,oa)
    & sort(jahr__1_1,ta)
    & card(jahr__1_1,card_c)
    & etype(jahr__1_1,etype_c)
    & fact(jahr__1_1,real)
    & gener(jahr__1_1,ge)
    & quant(jahr__1_1,quant_c)
    & refer(jahr__1_1,refer_c)
    & varia(jahr__1_1,varia_c)
    & sort(c74,nu)
    & card(c74,int1994)
    & sort(bmw_1_1,d)
    & card(bmw_1_1,int1)
    & etype(bmw_1_1,int0)
    & fact(bmw_1_1,real)
    & gener(bmw_1_1,ge)
    & quant(bmw_1_1,one)
    & refer(bmw_1_1,refer_c)
    & varia(bmw_1_1,varia_c)
    & sort(kurs_1_1,ad)
    & sort(kurs_1_1,d)
    & sort(kurs_1_1,io)
    & card(kurs_1_1,int1)
    & etype(kurs_1_1,int0)
    & fact(kurs_1_1,real)
    & gener(kurs_1_1,ge)
    & quant(kurs_1_1,one)
    & refer(kurs_1_1,refer_c)
    & varia(kurs_1_1,varia_c)
    & sort(c92,nu)
    & card(c92,int929)
    & sort(mark_1_1,me)
    & gener(mark_1_1,ge) ),
    file('/tmp/tmpeC1PbZ/sel_CSR115+30.p_1',ave07_era5_synth_qa07_007_mira_news_1206) ).

fof(60,conjecture,
    ? [X1,X2,X3,X4,X5,X6,X7] :
      ( attr(X1,X2)
      & attr(X4,X3)
      & attr(X5,X6)
      & has_card_leq(X7,int1994)
      & sub(X6,jahr__1_1)
      & val(X6,X7) ),
    file('/tmp/tmpeC1PbZ/sel_CSR115+30.p_1',synth_qa07_007_mira_news_1206) ).

fof(61,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5,X6,X7] :
        ( attr(X1,X2)
        & attr(X4,X3)
        & attr(X5,X6)
        & has_card_leq(X7,int1994)
        & sub(X6,jahr__1_1)
        & val(X6,X7) ),
    inference(assume_negation,[status(cth)],[60]) ).

fof(172,plain,
    ! [X1,X2] :
      ( ~ card(X1,X2)
      | has_card_leq(X1,X2) ),
    inference(fof_nnf,[status(thm)],[43]) ).

fof(173,plain,
    ! [X3,X4] :
      ( ~ card(X3,X4)
      | has_card_leq(X3,X4) ),
    inference(variable_rename,[status(thm)],[172]) ).

cnf(174,plain,
    ( has_card_leq(X1,X2)
    | ~ card(X1,X2) ),
    inference(split_conjunct,[status(thm)],[173]) ).

cnf(233,plain,
    card(c74,int1994),
    inference(split_conjunct,[status(thm)],[59]) ).

cnf(335,plain,
    val(c79,c74),
    inference(split_conjunct,[status(thm)],[59]) ).

cnf(336,plain,
    sub(c79,jahr__1_1),
    inference(split_conjunct,[status(thm)],[59]) ).

cnf(337,plain,
    attr(c78,c79),
    inference(split_conjunct,[status(thm)],[59]) ).

fof(342,negated_conjecture,
    ! [X1,X2,X3,X4,X5,X6,X7] :
      ( ~ attr(X1,X2)
      | ~ attr(X4,X3)
      | ~ attr(X5,X6)
      | ~ has_card_leq(X7,int1994)
      | ~ sub(X6,jahr__1_1)
      | ~ val(X6,X7) ),
    inference(fof_nnf,[status(thm)],[61]) ).

fof(343,negated_conjecture,
    ! [X8,X9,X10,X11,X12,X13,X14] :
      ( ~ attr(X8,X9)
      | ~ attr(X11,X10)
      | ~ attr(X12,X13)
      | ~ has_card_leq(X14,int1994)
      | ~ sub(X13,jahr__1_1)
      | ~ val(X13,X14) ),
    inference(variable_rename,[status(thm)],[342]) ).

cnf(344,negated_conjecture,
    ( ~ val(X1,X2)
    | ~ sub(X1,jahr__1_1)
    | ~ has_card_leq(X2,int1994)
    | ~ attr(X3,X1)
    | ~ attr(X4,X5)
    | ~ attr(X6,X7) ),
    inference(split_conjunct,[status(thm)],[343]) ).

fof(418,plain,
    ( ~ epred1_0
  <=> ! [X3,X2,X1] :
        ( ~ sub(X1,jahr__1_1)
        | ~ has_card_leq(X2,int1994)
        | ~ attr(X3,X1)
        | ~ val(X1,X2) ) ),
    introduced(definition),
    [split] ).

cnf(419,plain,
    ( epred1_0
    | ~ sub(X1,jahr__1_1)
    | ~ has_card_leq(X2,int1994)
    | ~ attr(X3,X1)
    | ~ val(X1,X2) ),
    inference(split_equiv,[status(thm)],[418]) ).

fof(420,plain,
    ( ~ epred2_0
  <=> ! [X7,X6] : ~ attr(X6,X7) ),
    introduced(definition),
    [split] ).

cnf(421,plain,
    ( epred2_0
    | ~ attr(X6,X7) ),
    inference(split_equiv,[status(thm)],[420]) ).

fof(422,plain,
    ( ~ epred3_0
  <=> ! [X5,X4] : ~ attr(X4,X5) ),
    introduced(definition),
    [split] ).

cnf(423,plain,
    ( epred3_0
    | ~ attr(X4,X5) ),
    inference(split_equiv,[status(thm)],[422]) ).

cnf(424,negated_conjecture,
    ( ~ epred3_0
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[344,418,theory(equality)]),420,theory(equality)]),422,theory(equality)]),
    [split] ).

cnf(449,plain,
    epred2_0,
    inference(spm,[status(thm)],[421,337,theory(equality)]) ).

cnf(451,plain,
    epred3_0,
    inference(spm,[status(thm)],[423,337,theory(equality)]) ).

cnf(453,negated_conjecture,
    ( $false
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[424,451,theory(equality)]) ).

cnf(454,negated_conjecture,
    ( $false
    | $false
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[453,449,theory(equality)]) ).

cnf(455,negated_conjecture,
    ~ epred1_0,
    inference(cn,[status(thm)],[454,theory(equality)]) ).

cnf(456,negated_conjecture,
    ( ~ sub(X1,jahr__1_1)
    | ~ has_card_leq(X2,int1994)
    | ~ attr(X3,X1)
    | ~ val(X1,X2) ),
    inference(sr,[status(thm)],[419,455,theory(equality)]) ).

cnf(457,negated_conjecture,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ sub(X1,jahr__1_1)
    | ~ card(X2,int1994) ),
    inference(spm,[status(thm)],[456,174,theory(equality)]) ).

cnf(458,plain,
    ( ~ attr(X1,c79)
    | ~ card(c74,int1994)
    | ~ sub(c79,jahr__1_1) ),
    inference(spm,[status(thm)],[457,335,theory(equality)]) ).

cnf(459,plain,
    ( ~ attr(X1,c79)
    | $false
    | ~ sub(c79,jahr__1_1) ),
    inference(rw,[status(thm)],[458,233,theory(equality)]) ).

cnf(460,plain,
    ( ~ attr(X1,c79)
    | $false
    | $false ),
    inference(rw,[status(thm)],[459,336,theory(equality)]) ).

cnf(461,plain,
    ~ attr(X1,c79),
    inference(cn,[status(thm)],[460,theory(equality)]) ).

cnf(462,plain,
    $false,
    inference(sr,[status(thm)],[337,461,theory(equality)]) ).

cnf(463,plain,
    $false,
    462,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR115+30.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpeC1PbZ/sel_CSR115+30.p_1 with time limit 29
% -prover status Theorem
% Problem CSR115+30.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR115+30.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR115+30.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
% 
%------------------------------------------------------------------------------