TSTP Solution File: CSR115+48 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR115+48 : 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 07:39:54 EST 2010

% Result   : Theorem 1.37s
% Output   : CNFRefutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   48 (  16 unt;   0 def)
%            Number of atoms       :  324 (   0 equ)
%            Maximal formula atoms :  122 (   6 avg)
%            Number of connectives :  420 ( 144   ~; 128   |; 145   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  122 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   3 prp; 0-2 aty)
%            Number of functors    :   43 (  43 usr;  43 con; 0-0 aty)
%            Number of variables   :  105 (   0 sgn  30   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(21,axiom,
    ! [X1,X2] :
      ( card(X1,X2)
     => has_card_leq(X1,X2) ),
    file('/tmp/tmpxa0a24/sel_CSR115+48.p_1',has_card_eq) ).

fof(69,conjecture,
    ? [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( agt(X5,X4)
      & attr(X1,X2)
      & attr(X4,X3)
      & attr(X6,X7)
      & has_card_leq(X8,int1994)
      & sub(X2,name_1_1)
      & sub(X1,firma_1_1)
      & sub(X3,name_1_1)
      & sub(X7,jahr__1_1)
      & temp(X5,X6)
      & val(X2,bmw_0)
      & val(X3,bmw_0)
      & val(X7,X8) ),
    file('/tmp/tmpxa0a24/sel_CSR115+48.p_1',synth_qa07_007_mira_news_1289) ).

fof(70,axiom,
    ( mcont(c417,c519)
    & mexp(c417,c419)
    & subs(c417,erw__344gen_1_1)
    & attr(c419,c420)
    & sub(c419,firma_1_1)
    & sub(c420,name_1_1)
    & val(c420,bmw_0)
    & attr(c506,c507)
    & sub(c506,firma_1_1)
    & sub(c507,name_1_1)
    & val(c507,rover_0)
    & attr(c517,c518)
    & sub(c518,jahr__1_1)
    & val(c518,c508)
    & agt(c519,c419)
    & obj(c519,c506)
    & subs(c519,festigen_1_1)
    & temp(c519,c517)
    & temp(c519,schon_1_1)
    & sort(c417,da)
    & fact(c417,real)
    & gener(c417,sp)
    & sort(c519,da)
    & fact(c519,hypo)
    & gener(c519,sp)
    & sort(c419,d)
    & sort(c419,io)
    & card(c419,int1)
    & etype(c419,int0)
    & fact(c419,real)
    & gener(c419,sp)
    & quant(c419,one)
    & refer(c419,det)
    & varia(c419,con)
    & sort(erw__344gen_1_1,da)
    & fact(erw__344gen_1_1,real)
    & gener(erw__344gen_1_1,ge)
    & sort(c420,na)
    & card(c420,int1)
    & etype(c420,int0)
    & fact(c420,real)
    & gener(c420,sp)
    & quant(c420,one)
    & refer(c420,indet)
    & varia(c420,varia_c)
    & sort(firma_1_1,d)
    & sort(firma_1_1,io)
    & card(firma_1_1,int1)
    & etype(firma_1_1,int0)
    & fact(firma_1_1,real)
    & gener(firma_1_1,ge)
    & quant(firma_1_1,one)
    & refer(firma_1_1,refer_c)
    & varia(firma_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(bmw_0,fe)
    & sort(c506,d)
    & sort(c506,io)
    & card(c506,int1)
    & etype(c506,int0)
    & fact(c506,real)
    & gener(c506,sp)
    & quant(c506,one)
    & refer(c506,det)
    & varia(c506,con)
    & sort(c507,na)
    & card(c507,int1)
    & etype(c507,int0)
    & fact(c507,real)
    & gener(c507,sp)
    & quant(c507,one)
    & refer(c507,indet)
    & varia(c507,varia_c)
    & sort(rover_0,fe)
    & sort(c517,t)
    & card(c517,int1)
    & etype(c517,int0)
    & fact(c517,real)
    & gener(c517,sp)
    & quant(c517,one)
    & refer(c517,det)
    & varia(c517,con)
    & sort(c518,me)
    & sort(c518,oa)
    & sort(c518,ta)
    & card(c518,card_c)
    & etype(c518,etype_c)
    & fact(c518,real)
    & gener(c518,sp)
    & quant(c518,quant_c)
    & refer(c518,refer_c)
    & varia(c518,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(c508,nu)
    & card(c508,int1994)
    & sort(festigen_1_1,da)
    & fact(festigen_1_1,real)
    & gener(festigen_1_1,ge)
    & sort(schon_1_1,t)
    & card(schon_1_1,int1)
    & etype(schon_1_1,int0)
    & fact(schon_1_1,real)
    & gener(schon_1_1,sp)
    & quant(schon_1_1,one)
    & refer(schon_1_1,refer_c)
    & varia(schon_1_1,varia_c) ),
    file('/tmp/tmpxa0a24/sel_CSR115+48.p_1',ave07_era5_synth_qa07_007_mira_news_1289) ).

fof(71,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5,X6,X7,X8] :
        ( agt(X5,X4)
        & attr(X1,X2)
        & attr(X4,X3)
        & attr(X6,X7)
        & has_card_leq(X8,int1994)
        & sub(X2,name_1_1)
        & sub(X1,firma_1_1)
        & sub(X3,name_1_1)
        & sub(X7,jahr__1_1)
        & temp(X5,X6)
        & val(X2,bmw_0)
        & val(X3,bmw_0)
        & val(X7,X8) ),
    inference(assume_negation,[status(cth)],[69]) ).

fof(118,plain,
    ! [X1,X2] :
      ( ~ card(X1,X2)
      | has_card_leq(X1,X2) ),
    inference(fof_nnf,[status(thm)],[21]) ).

fof(119,plain,
    ! [X3,X4] :
      ( ~ card(X3,X4)
      | has_card_leq(X3,X4) ),
    inference(variable_rename,[status(thm)],[118]) ).

cnf(120,plain,
    ( has_card_leq(X1,X2)
    | ~ card(X1,X2) ),
    inference(split_conjunct,[status(thm)],[119]) ).

fof(245,negated_conjecture,
    ! [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ agt(X5,X4)
      | ~ attr(X1,X2)
      | ~ attr(X4,X3)
      | ~ attr(X6,X7)
      | ~ has_card_leq(X8,int1994)
      | ~ sub(X2,name_1_1)
      | ~ sub(X1,firma_1_1)
      | ~ sub(X3,name_1_1)
      | ~ sub(X7,jahr__1_1)
      | ~ temp(X5,X6)
      | ~ val(X2,bmw_0)
      | ~ val(X3,bmw_0)
      | ~ val(X7,X8) ),
    inference(fof_nnf,[status(thm)],[71]) ).

fof(246,negated_conjecture,
    ! [X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ agt(X13,X12)
      | ~ attr(X9,X10)
      | ~ attr(X12,X11)
      | ~ attr(X14,X15)
      | ~ has_card_leq(X16,int1994)
      | ~ sub(X10,name_1_1)
      | ~ sub(X9,firma_1_1)
      | ~ sub(X11,name_1_1)
      | ~ sub(X15,jahr__1_1)
      | ~ temp(X13,X14)
      | ~ val(X10,bmw_0)
      | ~ val(X11,bmw_0)
      | ~ val(X15,X16) ),
    inference(variable_rename,[status(thm)],[245]) ).

cnf(247,negated_conjecture,
    ( ~ val(X1,X2)
    | ~ val(X3,bmw_0)
    | ~ val(X4,bmw_0)
    | ~ temp(X5,X6)
    | ~ sub(X1,jahr__1_1)
    | ~ sub(X3,name_1_1)
    | ~ sub(X7,firma_1_1)
    | ~ sub(X4,name_1_1)
    | ~ has_card_leq(X2,int1994)
    | ~ attr(X6,X1)
    | ~ attr(X8,X3)
    | ~ attr(X7,X4)
    | ~ agt(X5,X8) ),
    inference(split_conjunct,[status(thm)],[246]) ).

cnf(259,plain,
    card(c508,int1994),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(352,plain,
    temp(c519,c517),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(355,plain,
    agt(c519,c419),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(356,plain,
    val(c518,c508),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(357,plain,
    sub(c518,jahr__1_1),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(358,plain,
    attr(c517,c518),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(363,plain,
    val(c420,bmw_0),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(364,plain,
    sub(c420,name_1_1),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(365,plain,
    sub(c419,firma_1_1),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(366,plain,
    attr(c419,c420),
    inference(split_conjunct,[status(thm)],[70]) ).

fof(510,plain,
    ( ~ epred1_0
  <=> ! [X7,X4] :
        ( ~ sub(X4,name_1_1)
        | ~ sub(X7,firma_1_1)
        | ~ attr(X7,X4)
        | ~ val(X4,bmw_0) ) ),
    introduced(definition),
    [split] ).

cnf(511,plain,
    ( epred1_0
    | ~ sub(X4,name_1_1)
    | ~ sub(X7,firma_1_1)
    | ~ attr(X7,X4)
    | ~ val(X4,bmw_0) ),
    inference(split_equiv,[status(thm)],[510]) ).

fof(512,plain,
    ( ~ epred2_0
  <=> ! [X8,X5,X6,X2,X1,X3] :
        ( ~ temp(X5,X6)
        | ~ sub(X1,jahr__1_1)
        | ~ sub(X3,name_1_1)
        | ~ agt(X5,X8)
        | ~ has_card_leq(X2,int1994)
        | ~ attr(X6,X1)
        | ~ attr(X8,X3)
        | ~ val(X1,X2)
        | ~ val(X3,bmw_0) ) ),
    introduced(definition),
    [split] ).

cnf(513,plain,
    ( epred2_0
    | ~ temp(X5,X6)
    | ~ sub(X1,jahr__1_1)
    | ~ sub(X3,name_1_1)
    | ~ agt(X5,X8)
    | ~ has_card_leq(X2,int1994)
    | ~ attr(X6,X1)
    | ~ attr(X8,X3)
    | ~ val(X1,X2)
    | ~ val(X3,bmw_0) ),
    inference(split_equiv,[status(thm)],[512]) ).

cnf(514,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[247,510,theory(equality)]),512,theory(equality)]),
    [split] ).

cnf(515,plain,
    ( epred1_0
    | ~ attr(X1,c420)
    | ~ sub(c420,name_1_1)
    | ~ sub(X1,firma_1_1) ),
    inference(spm,[status(thm)],[511,363,theory(equality)]) ).

cnf(516,plain,
    ( epred1_0
    | ~ attr(X1,c420)
    | $false
    | ~ sub(X1,firma_1_1) ),
    inference(rw,[status(thm)],[515,364,theory(equality)]) ).

cnf(517,plain,
    ( epred1_0
    | ~ attr(X1,c420)
    | ~ sub(X1,firma_1_1) ),
    inference(cn,[status(thm)],[516,theory(equality)]) ).

cnf(518,plain,
    ( epred1_0
    | ~ sub(c419,firma_1_1) ),
    inference(spm,[status(thm)],[517,366,theory(equality)]) ).

cnf(519,plain,
    ( epred1_0
    | $false ),
    inference(rw,[status(thm)],[518,365,theory(equality)]) ).

cnf(520,plain,
    epred1_0,
    inference(cn,[status(thm)],[519,theory(equality)]) ).

cnf(523,negated_conjecture,
    ( ~ epred2_0
    | $false ),
    inference(rw,[status(thm)],[514,520,theory(equality)]) ).

cnf(524,negated_conjecture,
    ~ epred2_0,
    inference(cn,[status(thm)],[523,theory(equality)]) ).

cnf(525,negated_conjecture,
    ( ~ temp(X5,X6)
    | ~ sub(X1,jahr__1_1)
    | ~ sub(X3,name_1_1)
    | ~ agt(X5,X8)
    | ~ has_card_leq(X2,int1994)
    | ~ attr(X6,X1)
    | ~ attr(X8,X3)
    | ~ val(X1,X2)
    | ~ val(X3,bmw_0) ),
    inference(sr,[status(thm)],[513,524,theory(equality)]) ).

cnf(526,plain,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ attr(X4,c420)
    | ~ has_card_leq(X2,int1994)
    | ~ agt(X5,X4)
    | ~ sub(X1,jahr__1_1)
    | ~ sub(c420,name_1_1)
    | ~ temp(X5,X3) ),
    inference(spm,[status(thm)],[525,363,theory(equality)]) ).

cnf(527,plain,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ attr(X4,c420)
    | ~ has_card_leq(X2,int1994)
    | ~ agt(X5,X4)
    | ~ sub(X1,jahr__1_1)
    | $false
    | ~ temp(X5,X3) ),
    inference(rw,[status(thm)],[526,364,theory(equality)]) ).

cnf(528,plain,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ attr(X4,c420)
    | ~ has_card_leq(X2,int1994)
    | ~ agt(X5,X4)
    | ~ sub(X1,jahr__1_1)
    | ~ temp(X5,X3) ),
    inference(cn,[status(thm)],[527,theory(equality)]) ).

cnf(529,plain,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ has_card_leq(X2,int1994)
    | ~ agt(X4,c419)
    | ~ sub(X1,jahr__1_1)
    | ~ temp(X4,X3) ),
    inference(spm,[status(thm)],[528,366,theory(equality)]) ).

cnf(530,plain,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ agt(X4,c419)
    | ~ sub(X1,jahr__1_1)
    | ~ temp(X4,X3)
    | ~ card(X2,int1994) ),
    inference(spm,[status(thm)],[529,120,theory(equality)]) ).

cnf(533,plain,
    ( ~ attr(X1,c518)
    | ~ card(c508,int1994)
    | ~ agt(X2,c419)
    | ~ sub(c518,jahr__1_1)
    | ~ temp(X2,X1) ),
    inference(spm,[status(thm)],[530,356,theory(equality)]) ).

cnf(534,plain,
    ( ~ attr(X1,c518)
    | $false
    | ~ agt(X2,c419)
    | ~ sub(c518,jahr__1_1)
    | ~ temp(X2,X1) ),
    inference(rw,[status(thm)],[533,259,theory(equality)]) ).

cnf(535,plain,
    ( ~ attr(X1,c518)
    | $false
    | ~ agt(X2,c419)
    | $false
    | ~ temp(X2,X1) ),
    inference(rw,[status(thm)],[534,357,theory(equality)]) ).

cnf(536,plain,
    ( ~ attr(X1,c518)
    | ~ agt(X2,c419)
    | ~ temp(X2,X1) ),
    inference(cn,[status(thm)],[535,theory(equality)]) ).

cnf(537,plain,
    ( ~ agt(X1,c419)
    | ~ temp(X1,c517) ),
    inference(spm,[status(thm)],[536,358,theory(equality)]) ).

cnf(538,plain,
    ~ agt(c519,c419),
    inference(spm,[status(thm)],[537,352,theory(equality)]) ).

cnf(539,plain,
    $false,
    inference(rw,[status(thm)],[538,355,theory(equality)]) ).

cnf(540,plain,
    $false,
    inference(cn,[status(thm)],[539,theory(equality)]) ).

cnf(541,plain,
    $false,
    540,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR115+48.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpxa0a24/sel_CSR115+48.p_1 with time limit 29
% -prover status Theorem
% Problem CSR115+48.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR115+48.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR115+48.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
% 
%------------------------------------------------------------------------------