TSTP Solution File: CSR115+52 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR115+52 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art07.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 07:41:28 EST 2010

% Result   : Theorem 1.38s
% Output   : CNFRefutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   37 (  11 unt;   0 def)
%            Number of atoms       :  267 (   0 equ)
%            Maximal formula atoms :  147 (   7 avg)
%            Number of connectives :  310 (  80   ~;  65   |; 162   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  147 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   4 prp; 0-2 aty)
%            Number of functors    :   40 (  40 usr;  40 con; 0-0 aty)
%            Number of variables   :   61 (   9 sgn  21   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(54,conjecture,
    ? [X1,X2,X3,X4,X5,X6,X7] :
      ( agt(X5,X4)
      & attr(X1,X2)
      & attr(X4,X3)
      & attr(X6,X7)
      & sub(X2,name_1_1)
      & sub(X3,name_1_1)
      & subs(X5,n374bernehmen_1_1)
      & val(X2,bmw_0)
      & val(X3,bmw_0) ),
    file('/tmp/tmpwe4DHG/sel_CSR115+52.p_1',synth_qa07_007_mira_news_1305) ).

fof(55,axiom,
    ( assoc(autokonzern_1_1,auto__1_1)
    & sub(autokonzern_1_1,firmengruppe_1_1)
    & assoc(autounternehmen_1_1,auto__1_1)
    & sub(autounternehmen_1_1,unternehmen_1_1)
    & attr(c0,c1)
    & sub(c0,stadt__1_1)
    & sub(c1,name_1_1)
    & val(c1,m__374nchen_0)
    & agt(c163,c165)
    & obj(c163,c218)
    & subs(c163,n374bernehmen_1_1)
    & attr(c165,c166)
    & prop(c165,m__374nchner_1_1)
    & sub(c165,autokonzern_1_1)
    & sub(c166,name_1_1)
    & val(c166,bmw_0)
    & attr(c218,c219)
    & prop(c218,altbew__344hrt_1_1)
    & prop(c218,britisch__1_1)
    & sub(c218,autounternehmen_1_1)
    & sub(c219,name_1_1)
    & val(c219,rover_0)
    & assoc(m__374nchner_1_1,c0)
    & sort(autokonzern_1_1,d)
    & sort(autokonzern_1_1,io)
    & card(autokonzern_1_1,int1)
    & etype(autokonzern_1_1,int0)
    & fact(autokonzern_1_1,real)
    & gener(autokonzern_1_1,ge)
    & quant(autokonzern_1_1,one)
    & refer(autokonzern_1_1,refer_c)
    & varia(autokonzern_1_1,varia_c)
    & sort(auto__1_1,d)
    & card(auto__1_1,int1)
    & etype(auto__1_1,int0)
    & fact(auto__1_1,real)
    & gener(auto__1_1,ge)
    & quant(auto__1_1,one)
    & refer(auto__1_1,refer_c)
    & varia(auto__1_1,varia_c)
    & sort(firmengruppe_1_1,d)
    & sort(firmengruppe_1_1,io)
    & card(firmengruppe_1_1,int1)
    & etype(firmengruppe_1_1,int0)
    & fact(firmengruppe_1_1,real)
    & gener(firmengruppe_1_1,ge)
    & quant(firmengruppe_1_1,one)
    & refer(firmengruppe_1_1,refer_c)
    & varia(firmengruppe_1_1,varia_c)
    & sort(autounternehmen_1_1,d)
    & sort(autounternehmen_1_1,io)
    & card(autounternehmen_1_1,int1)
    & etype(autounternehmen_1_1,int0)
    & fact(autounternehmen_1_1,real)
    & gener(autounternehmen_1_1,ge)
    & quant(autounternehmen_1_1,one)
    & refer(autounternehmen_1_1,refer_c)
    & varia(autounternehmen_1_1,varia_c)
    & sort(unternehmen_1_1,d)
    & sort(unternehmen_1_1,io)
    & card(unternehmen_1_1,int1)
    & etype(unternehmen_1_1,int0)
    & fact(unternehmen_1_1,real)
    & gener(unternehmen_1_1,ge)
    & quant(unternehmen_1_1,one)
    & refer(unternehmen_1_1,refer_c)
    & varia(unternehmen_1_1,varia_c)
    & sort(c0,d)
    & sort(c0,io)
    & card(c0,int1)
    & etype(c0,int0)
    & fact(c0,real)
    & gener(c0,sp)
    & quant(c0,one)
    & refer(c0,det)
    & varia(c0,varia_c)
    & sort(c1,na)
    & card(c1,int1)
    & etype(c1,int0)
    & fact(c1,real)
    & gener(c1,sp)
    & quant(c1,one)
    & refer(c1,det)
    & varia(c1,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(m__374nchen_0,fe)
    & sort(c163,da)
    & fact(c163,real)
    & gener(c163,sp)
    & sort(c165,d)
    & sort(c165,io)
    & card(c165,int1)
    & etype(c165,int0)
    & fact(c165,real)
    & gener(c165,sp)
    & quant(c165,one)
    & refer(c165,det)
    & varia(c165,con)
    & sort(c218,d)
    & sort(c218,io)
    & card(c218,int1)
    & etype(c218,int0)
    & fact(c218,real)
    & gener(c218,sp)
    & quant(c218,one)
    & refer(c218,det)
    & varia(c218,con)
    & sort(n374bernehmen_1_1,da)
    & fact(n374bernehmen_1_1,real)
    & gener(n374bernehmen_1_1,ge)
    & sort(c166,na)
    & card(c166,int1)
    & etype(c166,int0)
    & fact(c166,real)
    & gener(c166,sp)
    & quant(c166,one)
    & refer(c166,indet)
    & varia(c166,varia_c)
    & sort(m__374nchner_1_1,gq)
    & sort(bmw_0,fe)
    & sort(c219,na)
    & card(c219,int1)
    & etype(c219,int0)
    & fact(c219,real)
    & gener(c219,sp)
    & quant(c219,one)
    & refer(c219,indet)
    & varia(c219,varia_c)
    & sort(altbew__344hrt_1_1,ql)
    & sort(britisch__1_1,nq)
    & sort(rover_0,fe) ),
    file('/tmp/tmpwe4DHG/sel_CSR115+52.p_1',ave07_era5_synth_qa07_007_mira_news_1305) ).

fof(56,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5,X6,X7] :
        ( agt(X5,X4)
        & attr(X1,X2)
        & attr(X4,X3)
        & attr(X6,X7)
        & sub(X2,name_1_1)
        & sub(X3,name_1_1)
        & subs(X5,n374bernehmen_1_1)
        & val(X2,bmw_0)
        & val(X3,bmw_0) ),
    inference(assume_negation,[status(cth)],[54]) ).

fof(187,negated_conjecture,
    ! [X1,X2,X3,X4,X5,X6,X7] :
      ( ~ agt(X5,X4)
      | ~ attr(X1,X2)
      | ~ attr(X4,X3)
      | ~ attr(X6,X7)
      | ~ sub(X2,name_1_1)
      | ~ sub(X3,name_1_1)
      | ~ subs(X5,n374bernehmen_1_1)
      | ~ val(X2,bmw_0)
      | ~ val(X3,bmw_0) ),
    inference(fof_nnf,[status(thm)],[56]) ).

fof(188,negated_conjecture,
    ! [X8,X9,X10,X11,X12,X13,X14] :
      ( ~ agt(X12,X11)
      | ~ attr(X8,X9)
      | ~ attr(X11,X10)
      | ~ attr(X13,X14)
      | ~ sub(X9,name_1_1)
      | ~ sub(X10,name_1_1)
      | ~ subs(X12,n374bernehmen_1_1)
      | ~ val(X9,bmw_0)
      | ~ val(X10,bmw_0) ),
    inference(variable_rename,[status(thm)],[187]) ).

cnf(189,negated_conjecture,
    ( ~ val(X1,bmw_0)
    | ~ val(X2,bmw_0)
    | ~ subs(X3,n374bernehmen_1_1)
    | ~ sub(X1,name_1_1)
    | ~ sub(X2,name_1_1)
    | ~ attr(X4,X5)
    | ~ attr(X6,X1)
    | ~ attr(X7,X2)
    | ~ agt(X3,X6) ),
    inference(split_conjunct,[status(thm)],[188]) ).

cnf(321,plain,
    val(c166,bmw_0),
    inference(split_conjunct,[status(thm)],[55]) ).

cnf(322,plain,
    sub(c166,name_1_1),
    inference(split_conjunct,[status(thm)],[55]) ).

cnf(325,plain,
    attr(c165,c166),
    inference(split_conjunct,[status(thm)],[55]) ).

cnf(326,plain,
    subs(c163,n374bernehmen_1_1),
    inference(split_conjunct,[status(thm)],[55]) ).

cnf(328,plain,
    agt(c163,c165),
    inference(split_conjunct,[status(thm)],[55]) ).

cnf(332,plain,
    attr(c0,c1),
    inference(split_conjunct,[status(thm)],[55]) ).

fof(428,plain,
    ( ~ epred1_0
  <=> ! [X1,X6,X3] :
        ( ~ subs(X3,n374bernehmen_1_1)
        | ~ sub(X1,name_1_1)
        | ~ attr(X6,X1)
        | ~ val(X1,bmw_0)
        | ~ agt(X3,X6) ) ),
    introduced(definition),
    [split] ).

cnf(429,plain,
    ( epred1_0
    | ~ subs(X3,n374bernehmen_1_1)
    | ~ sub(X1,name_1_1)
    | ~ attr(X6,X1)
    | ~ val(X1,bmw_0)
    | ~ agt(X3,X6) ),
    inference(split_equiv,[status(thm)],[428]) ).

fof(430,plain,
    ( ~ epred2_0
  <=> ! [X7,X2] :
        ( ~ sub(X2,name_1_1)
        | ~ attr(X7,X2)
        | ~ val(X2,bmw_0) ) ),
    introduced(definition),
    [split] ).

cnf(431,plain,
    ( epred2_0
    | ~ sub(X2,name_1_1)
    | ~ attr(X7,X2)
    | ~ val(X2,bmw_0) ),
    inference(split_equiv,[status(thm)],[430]) ).

fof(432,plain,
    ( ~ epred3_0
  <=> ! [X5,X4] : ~ attr(X4,X5) ),
    introduced(definition),
    [split] ).

cnf(433,plain,
    ( epred3_0
    | ~ attr(X4,X5) ),
    inference(split_equiv,[status(thm)],[432]) ).

cnf(434,negated_conjecture,
    ( ~ epred3_0
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[189,428,theory(equality)]),430,theory(equality)]),432,theory(equality)]),
    [split] ).

cnf(437,plain,
    epred3_0,
    inference(spm,[status(thm)],[433,332,theory(equality)]) ).

cnf(443,negated_conjecture,
    ( $false
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[434,437,theory(equality)]) ).

cnf(444,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[443,theory(equality)]) ).

cnf(445,plain,
    ( epred2_0
    | ~ attr(X1,c166)
    | ~ sub(c166,name_1_1) ),
    inference(spm,[status(thm)],[431,321,theory(equality)]) ).

cnf(448,plain,
    ( epred2_0
    | ~ attr(X1,c166)
    | $false ),
    inference(rw,[status(thm)],[445,322,theory(equality)]) ).

cnf(449,plain,
    ( epred2_0
    | ~ attr(X1,c166) ),
    inference(cn,[status(thm)],[448,theory(equality)]) ).

cnf(450,plain,
    epred2_0,
    inference(spm,[status(thm)],[449,325,theory(equality)]) ).

cnf(453,negated_conjecture,
    ( $false
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[444,450,theory(equality)]) ).

cnf(454,negated_conjecture,
    ~ epred1_0,
    inference(cn,[status(thm)],[453,theory(equality)]) ).

cnf(455,negated_conjecture,
    ( ~ subs(X3,n374bernehmen_1_1)
    | ~ sub(X1,name_1_1)
    | ~ attr(X6,X1)
    | ~ val(X1,bmw_0)
    | ~ agt(X3,X6) ),
    inference(sr,[status(thm)],[429,454,theory(equality)]) ).

cnf(456,plain,
    ( ~ agt(X1,X2)
    | ~ attr(X2,c166)
    | ~ sub(c166,name_1_1)
    | ~ subs(X1,n374bernehmen_1_1) ),
    inference(spm,[status(thm)],[455,321,theory(equality)]) ).

cnf(459,plain,
    ( ~ agt(X1,X2)
    | ~ attr(X2,c166)
    | $false
    | ~ subs(X1,n374bernehmen_1_1) ),
    inference(rw,[status(thm)],[456,322,theory(equality)]) ).

cnf(460,plain,
    ( ~ agt(X1,X2)
    | ~ attr(X2,c166)
    | ~ subs(X1,n374bernehmen_1_1) ),
    inference(cn,[status(thm)],[459,theory(equality)]) ).

cnf(461,plain,
    ( ~ attr(c165,c166)
    | ~ subs(c163,n374bernehmen_1_1) ),
    inference(spm,[status(thm)],[460,328,theory(equality)]) ).

cnf(463,plain,
    ( $false
    | ~ subs(c163,n374bernehmen_1_1) ),
    inference(rw,[status(thm)],[461,325,theory(equality)]) ).

cnf(464,plain,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[463,326,theory(equality)]) ).

cnf(465,plain,
    $false,
    inference(cn,[status(thm)],[464,theory(equality)]) ).

cnf(466,plain,
    $false,
    465,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR115+52.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpwe4DHG/sel_CSR115+52.p_1 with time limit 29
% -prover status Theorem
% Problem CSR115+52.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR115+52.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR115+52.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
% 
%------------------------------------------------------------------------------