%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR115+37 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 07:37:54 EST 2010
% Result : Theorem 1.38s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 15 unt; 0 def)
% Number of atoms : 343 ( 0 equ)
% Maximal formula atoms : 173 ( 7 avg)
% Number of connectives : 404 ( 110 ~; 96 |; 194 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 173 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 4 prp; 0-3 aty)
% Number of functors : 56 ( 56 usr; 56 con; 0-0 aty)
% Number of variables : 87 ( 14 sgn 30 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(55,axiom,
! [X1,X2] :
( card(X1,X2)
=> has_card_leq(X1,X2) ),
file('/tmp/tmpanEaP4/sel_CSR115+37.p_1',has_card_eq) ).
fof(76,axiom,
( sub(c100,c103)
& temp(c100,c106)
& pmod(c103,erst_1_1,halbjahr_1_1)
& attr(c106,c107)
& sub(c107,jahr__1_1)
& val(c107,c102)
& attch(c110,c100)
& prop(c110,r__374ckg__344ngig_1_1)
& sub(c110,markttrend_1_1)
& benf(c111,c93)
& modl(c111,k__366nnen_0)
& obj(c111,c95)
& subs(c111,abkoppeln_1_1)
& temp(c111,c100)
& attr(c93,c94)
& sub(c93,firma_1_1)
& sub(c94,name_1_1)
& val(c94,bmw_0)
& sub(c95,sich_1_1)
& assoc(halbjahr_1_1,halb__1_1)
& sub(halbjahr_1_1,jahr__1_1)
& assoc(markttrend_1_1,markt_1_1)
& sub(markttrend_1_1,entwicklungstendenz_1_1)
& sort(c100,ta)
& card(c100,int1)
& etype(c100,int0)
& fact(c100,real)
& gener(c100,sp)
& quant(c100,one)
& refer(c100,det)
& varia(c100,con)
& sort(c103,ta)
& card(c103,int1)
& etype(c103,int0)
& fact(c103,real)
& gener(c103,ge)
& quant(c103,one)
& refer(c103,refer_c)
& varia(c103,varia_c)
& sort(c106,t)
& card(c106,int1)
& etype(c106,int0)
& fact(c106,real)
& gener(c106,sp)
& quant(c106,one)
& refer(c106,det)
& varia(c106,con)
& sort(erst_1_1,oq)
& card(erst_1_1,int1)
& sort(halbjahr_1_1,ta)
& card(halbjahr_1_1,int1)
& etype(halbjahr_1_1,int0)
& fact(halbjahr_1_1,real)
& gener(halbjahr_1_1,ge)
& quant(halbjahr_1_1,one)
& refer(halbjahr_1_1,refer_c)
& varia(halbjahr_1_1,varia_c)
& sort(c107,me)
& sort(c107,oa)
& sort(c107,ta)
& card(c107,card_c)
& etype(c107,etype_c)
& fact(c107,real)
& gener(c107,sp)
& quant(c107,quant_c)
& refer(c107,refer_c)
& varia(c107,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(c102,nu)
& card(c102,int1994)
& sort(c110,io)
& card(c110,int1)
& etype(c110,int0)
& fact(c110,real)
& gener(c110,sp)
& quant(c110,one)
& refer(c110,det)
& varia(c110,con)
& sort(r__374ckg__344ngig_1_1,nq)
& sort(markttrend_1_1,io)
& card(markttrend_1_1,int1)
& etype(markttrend_1_1,int0)
& fact(markttrend_1_1,real)
& gener(markttrend_1_1,ge)
& quant(markttrend_1_1,one)
& refer(markttrend_1_1,refer_c)
& varia(markttrend_1_1,varia_c)
& sort(c111,da)
& fact(c111,real)
& gener(c111,sp)
& sort(c93,d)
& sort(c93,io)
& card(c93,int1)
& etype(c93,int0)
& fact(c93,real)
& gener(c93,sp)
& quant(c93,one)
& refer(c93,det)
& varia(c93,con)
& sort(k__366nnen_0,md)
& fact(k__366nnen_0,real)
& gener(k__366nnen_0,gener_c)
& sort(c95,co)
& card(c95,card_c)
& etype(c95,etype_c)
& fact(c95,real)
& gener(c95,sp)
& quant(c95,quant_c)
& refer(c95,refer_c)
& varia(c95,varia_c)
& sort(abkoppeln_1_1,da)
& fact(abkoppeln_1_1,real)
& gener(abkoppeln_1_1,ge)
& sort(c94,na)
& card(c94,int1)
& etype(c94,int0)
& fact(c94,real)
& gener(c94,sp)
& quant(c94,one)
& refer(c94,indet)
& varia(c94,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(sich_1_1,o)
& card(sich_1_1,int1)
& etype(sich_1_1,int0)
& fact(sich_1_1,real)
& gener(sich_1_1,gener_c)
& quant(sich_1_1,one)
& refer(sich_1_1,refer_c)
& varia(sich_1_1,varia_c)
& sort(halb__1_1,tq)
& sort(markt_1_1,d)
& card(markt_1_1,int1)
& etype(markt_1_1,int0)
& fact(markt_1_1,real)
& gener(markt_1_1,ge)
& quant(markt_1_1,one)
& refer(markt_1_1,refer_c)
& varia(markt_1_1,varia_c)
& sort(entwicklungstendenz_1_1,io)
& card(entwicklungstendenz_1_1,int1)
& etype(entwicklungstendenz_1_1,int0)
& fact(entwicklungstendenz_1_1,real)
& gener(entwicklungstendenz_1_1,ge)
& quant(entwicklungstendenz_1_1,one)
& refer(entwicklungstendenz_1_1,refer_c)
& varia(entwicklungstendenz_1_1,varia_c) ),
file('/tmp/tmpanEaP4/sel_CSR115+37.p_1',ave07_era5_synth_qa07_007_mira_news_1229) ).
fof(77,conjecture,
? [X1,X2,X3,X4,X5,X6,X7,X8] :
( 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/tmpanEaP4/sel_CSR115+37.p_1',synth_qa07_007_mira_news_1229) ).
fof(78,negated_conjecture,
~ ? [X1,X2,X3,X4,X5,X6,X7,X8] :
( 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)],[77]) ).
fof(203,plain,
! [X1,X2] :
( ~ card(X1,X2)
| has_card_leq(X1,X2) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(204,plain,
! [X3,X4] :
( ~ card(X3,X4)
| has_card_leq(X3,X4) ),
inference(variable_rename,[status(thm)],[203]) ).
cnf(205,plain,
( has_card_leq(X1,X2)
| ~ card(X1,X2) ),
inference(split_conjunct,[status(thm)],[204]) ).
cnf(349,plain,
card(c102,int1994),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(410,plain,
val(c94,bmw_0),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(411,plain,
sub(c94,name_1_1),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(412,plain,
sub(c93,firma_1_1),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(413,plain,
attr(c93,c94),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(422,plain,
val(c107,c102),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(423,plain,
sub(c107,jahr__1_1),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(424,plain,
attr(c106,c107),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(426,plain,
temp(c100,c106),
inference(split_conjunct,[status(thm)],[76]) ).
fof(428,negated_conjecture,
! [X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ 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)],[78]) ).
fof(429,negated_conjecture,
! [X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ 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)],[428]) ).
cnf(430,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) ),
inference(split_conjunct,[status(thm)],[429]) ).
fof(598,plain,
( ~ epred1_0
<=> ! [X6,X1,X5,X2] :
( ~ sub(X1,jahr__1_1)
| ~ temp(X5,X6)
| ~ attr(X6,X1)
| ~ val(X1,X2)
| ~ has_card_leq(X2,int1994) ) ),
introduced(definition),
[split] ).
cnf(599,plain,
( epred1_0
| ~ sub(X1,jahr__1_1)
| ~ temp(X5,X6)
| ~ attr(X6,X1)
| ~ val(X1,X2)
| ~ has_card_leq(X2,int1994) ),
inference(split_equiv,[status(thm)],[598]) ).
fof(600,plain,
( ~ epred2_0
<=> ! [X7,X4] :
( ~ sub(X4,name_1_1)
| ~ sub(X7,firma_1_1)
| ~ attr(X7,X4)
| ~ val(X4,bmw_0) ) ),
introduced(definition),
[split] ).
cnf(601,plain,
( epred2_0
| ~ sub(X4,name_1_1)
| ~ sub(X7,firma_1_1)
| ~ attr(X7,X4)
| ~ val(X4,bmw_0) ),
inference(split_equiv,[status(thm)],[600]) ).
fof(602,plain,
( ~ epred3_0
<=> ! [X8,X3] :
( ~ sub(X3,name_1_1)
| ~ attr(X8,X3)
| ~ val(X3,bmw_0) ) ),
introduced(definition),
[split] ).
cnf(603,plain,
( epred3_0
| ~ sub(X3,name_1_1)
| ~ attr(X8,X3)
| ~ val(X3,bmw_0) ),
inference(split_equiv,[status(thm)],[602]) ).
cnf(604,negated_conjecture,
( ~ epred3_0
| ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[430,598,theory(equality)]),600,theory(equality)]),602,theory(equality)]),
[split] ).
cnf(605,plain,
( epred3_0
| ~ attr(X1,c94)
| ~ sub(c94,name_1_1) ),
inference(spm,[status(thm)],[603,410,theory(equality)]) ).
cnf(606,plain,
( epred3_0
| ~ attr(X1,c94)
| $false ),
inference(rw,[status(thm)],[605,411,theory(equality)]) ).
cnf(607,plain,
( epred3_0
| ~ attr(X1,c94) ),
inference(cn,[status(thm)],[606,theory(equality)]) ).
cnf(608,plain,
epred3_0,
inference(spm,[status(thm)],[607,413,theory(equality)]) ).
cnf(611,negated_conjecture,
( $false
| ~ epred2_0
| ~ epred1_0 ),
inference(rw,[status(thm)],[604,608,theory(equality)]) ).
cnf(612,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(cn,[status(thm)],[611,theory(equality)]) ).
cnf(613,plain,
( epred2_0
| ~ attr(X1,c94)
| ~ sub(c94,name_1_1)
| ~ sub(X1,firma_1_1) ),
inference(spm,[status(thm)],[601,410,theory(equality)]) ).
cnf(614,plain,
( epred2_0
| ~ attr(X1,c94)
| $false
| ~ sub(X1,firma_1_1) ),
inference(rw,[status(thm)],[613,411,theory(equality)]) ).
cnf(615,plain,
( epred2_0
| ~ attr(X1,c94)
| ~ sub(X1,firma_1_1) ),
inference(cn,[status(thm)],[614,theory(equality)]) ).
cnf(616,plain,
( epred2_0
| ~ sub(c93,firma_1_1) ),
inference(spm,[status(thm)],[615,413,theory(equality)]) ).
cnf(617,plain,
( epred2_0
| $false ),
inference(rw,[status(thm)],[616,412,theory(equality)]) ).
cnf(618,plain,
epred2_0,
inference(cn,[status(thm)],[617,theory(equality)]) ).
cnf(621,negated_conjecture,
( $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[612,618,theory(equality)]) ).
cnf(622,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[621,theory(equality)]) ).
cnf(625,negated_conjecture,
( ~ sub(X1,jahr__1_1)
| ~ temp(X5,X6)
| ~ attr(X6,X1)
| ~ val(X1,X2)
| ~ has_card_leq(X2,int1994) ),
inference(sr,[status(thm)],[599,622,theory(equality)]) ).
cnf(626,negated_conjecture,
( ~ val(X2,X1)
| ~ attr(X3,X2)
| ~ temp(X4,X3)
| ~ sub(X2,jahr__1_1)
| ~ card(X1,int1994) ),
inference(spm,[status(thm)],[625,205,theory(equality)]) ).
cnf(628,plain,
( ~ card(c102,int1994)
| ~ attr(X1,c107)
| ~ temp(X2,X1)
| ~ sub(c107,jahr__1_1) ),
inference(spm,[status(thm)],[626,422,theory(equality)]) ).
cnf(629,plain,
( $false
| ~ attr(X1,c107)
| ~ temp(X2,X1)
| ~ sub(c107,jahr__1_1) ),
inference(rw,[status(thm)],[628,349,theory(equality)]) ).
cnf(630,plain,
( $false
| ~ attr(X1,c107)
| ~ temp(X2,X1)
| $false ),
inference(rw,[status(thm)],[629,423,theory(equality)]) ).
cnf(631,plain,
( ~ attr(X1,c107)
| ~ temp(X2,X1) ),
inference(cn,[status(thm)],[630,theory(equality)]) ).
cnf(632,plain,
~ temp(X1,c106),
inference(spm,[status(thm)],[631,424,theory(equality)]) ).
cnf(633,plain,
$false,
inference(sr,[status(thm)],[426,632,theory(equality)]) ).
cnf(634,plain,
$false,
633,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR115+37.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpanEaP4/sel_CSR115+37.p_1 with time limit 29
% -prover status Theorem
% Problem CSR115+37.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR115+37.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR115+37.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
%
%------------------------------------------------------------------------------