%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR115+62 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 07:44:38 EST 2010
% Result : Theorem 1.44s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 51 ( 17 unt; 0 def)
% Number of atoms : 389 ( 0 equ)
% Maximal formula atoms : 159 ( 7 avg)
% Number of connectives : 506 ( 168 ~; 151 |; 184 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 159 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 3 prp; 0-2 aty)
% Number of functors : 52 ( 52 usr; 51 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 30 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(61,axiom,
! [X1,X2] :
( card(X1,X2)
=> has_card_leq(X1,X2) ),
file('/tmp/tmpj2VZjk/sel_CSR115+62.p_1',has_card_eq) ).
fof(82,axiom,
( sub(c12,eisenbahn__1_1)
& agt(c126,c128)
& loc(c126,c132)
& obj(c126,c26)
& subs(c126,n374bernehmen_1_1)
& temp(c126,c7)
& attr(c128,c129)
& sub(c128,firma_1_1)
& sub(c129,name_1_1)
& val(c129,bmw_0)
& in(c132,c12)
& aff(c16,c22)
& attch(c16,c12)
& subs(c16,deregulation_1_1)
& pred(c22,unternehmen_1_1)
& prop(c22,staatlich__1_1)
& sub(c26,firma_1_1)
& attr(c7,c8)
& sub(c8,jahr__1_1)
& val(c8,c4)
& sort(c12,d)
& card(c12,int1)
& etype(c12,int0)
& fact(c12,real)
& gener(c12,sp)
& quant(c12,one)
& refer(c12,det)
& varia(c12,con)
& sort(eisenbahn__1_1,d)
& card(eisenbahn__1_1,int1)
& etype(eisenbahn__1_1,int0)
& fact(eisenbahn__1_1,real)
& gener(eisenbahn__1_1,ge)
& quant(eisenbahn__1_1,one)
& refer(eisenbahn__1_1,refer_c)
& varia(eisenbahn__1_1,varia_c)
& sort(c126,da)
& fact(c126,real)
& gener(c126,sp)
& sort(c128,d)
& sort(c128,io)
& card(c128,int1)
& etype(c128,int0)
& fact(c128,real)
& gener(c128,sp)
& quant(c128,one)
& refer(c128,det)
& varia(c128,con)
& sort(c132,l)
& card(c132,int1)
& etype(c132,int0)
& fact(c132,real)
& gener(c132,sp)
& quant(c132,one)
& refer(c132,det)
& varia(c132,con)
& sort(c26,d)
& sort(c26,io)
& card(c26,int1)
& etype(c26,int0)
& fact(c26,real)
& gener(c26,sp)
& quant(c26,one)
& refer(c26,det)
& varia(c26,con)
& sort(n374bernehmen_1_1,da)
& fact(n374bernehmen_1_1,real)
& gener(n374bernehmen_1_1,ge)
& sort(c7,t)
& card(c7,int1)
& etype(c7,int0)
& fact(c7,real)
& gener(c7,sp)
& quant(c7,one)
& refer(c7,det)
& varia(c7,con)
& sort(c129,na)
& card(c129,int1)
& etype(c129,int0)
& fact(c129,real)
& gener(c129,sp)
& quant(c129,one)
& refer(c129,indet)
& varia(c129,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(c16,ad)
& card(c16,int1)
& etype(c16,int0)
& fact(c16,real)
& gener(c16,sp)
& quant(c16,one)
& refer(c16,det)
& varia(c16,con)
& sort(c22,d)
& sort(c22,io)
& card(c22,cons(x_constant,cons(int1,nil)))
& etype(c22,int1)
& fact(c22,real)
& gener(c22,sp)
& quant(c22,mult)
& refer(c22,indet)
& varia(c22,varia_c)
& sort(deregulation_1_1,ad)
& card(deregulation_1_1,int1)
& etype(deregulation_1_1,int0)
& fact(deregulation_1_1,real)
& gener(deregulation_1_1,ge)
& quant(deregulation_1_1,one)
& refer(deregulation_1_1,refer_c)
& varia(deregulation_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(staatlich__1_1,tq)
& sort(c8,me)
& sort(c8,oa)
& sort(c8,ta)
& card(c8,card_c)
& etype(c8,etype_c)
& fact(c8,real)
& gener(c8,sp)
& quant(c8,quant_c)
& refer(c8,refer_c)
& varia(c8,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(c4,nu)
& card(c4,int1994) ),
file('/tmp/tmpj2VZjk/sel_CSR115+62.p_1',ave07_era5_synth_qa07_007_mira_wp_469) ).
fof(83,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)
& subs(X5,n374bernehmen_1_1)
& temp(X5,X6)
& val(X2,bmw_0)
& val(X3,bmw_0)
& val(X7,X8) ),
file('/tmp/tmpj2VZjk/sel_CSR115+62.p_1',synth_qa07_007_mira_wp_469) ).
fof(84,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)
& subs(X5,n374bernehmen_1_1)
& temp(X5,X6)
& val(X2,bmw_0)
& val(X3,bmw_0)
& val(X7,X8) ),
inference(assume_negation,[status(cth)],[83]) ).
fof(226,plain,
! [X1,X2] :
( ~ card(X1,X2)
| has_card_leq(X1,X2) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(227,plain,
! [X3,X4] :
( ~ card(X3,X4)
| has_card_leq(X3,X4) ),
inference(variable_rename,[status(thm)],[226]) ).
cnf(228,plain,
( has_card_leq(X1,X2)
| ~ card(X1,X2) ),
inference(split_conjunct,[status(thm)],[227]) ).
cnf(274,plain,
card(c4,int1994),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(413,plain,
val(c8,c4),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(414,plain,
sub(c8,jahr__1_1),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(415,plain,
attr(c7,c8),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(423,plain,
val(c129,bmw_0),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(424,plain,
sub(c129,name_1_1),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(425,plain,
sub(c128,firma_1_1),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(426,plain,
attr(c128,c129),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(427,plain,
temp(c126,c7),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(428,plain,
subs(c126,n374bernehmen_1_1),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(431,plain,
agt(c126,c128),
inference(split_conjunct,[status(thm)],[82]) ).
fof(433,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)
| ~ subs(X5,n374bernehmen_1_1)
| ~ temp(X5,X6)
| ~ val(X2,bmw_0)
| ~ val(X3,bmw_0)
| ~ val(X7,X8) ),
inference(fof_nnf,[status(thm)],[84]) ).
fof(434,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)
| ~ subs(X13,n374bernehmen_1_1)
| ~ temp(X13,X14)
| ~ val(X10,bmw_0)
| ~ val(X11,bmw_0)
| ~ val(X15,X16) ),
inference(variable_rename,[status(thm)],[433]) ).
cnf(435,negated_conjecture,
( ~ val(X1,X2)
| ~ val(X3,bmw_0)
| ~ val(X4,bmw_0)
| ~ temp(X5,X6)
| ~ subs(X5,n374bernehmen_1_1)
| ~ 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)],[434]) ).
fof(601,plain,
( ~ epred1_0
<=> ! [X5,X3,X8,X1,X6,X2] :
( ~ subs(X5,n374bernehmen_1_1)
| ~ sub(X1,jahr__1_1)
| ~ sub(X3,name_1_1)
| ~ temp(X5,X6)
| ~ agt(X5,X8)
| ~ attr(X6,X1)
| ~ attr(X8,X3)
| ~ val(X1,X2)
| ~ val(X3,bmw_0)
| ~ has_card_leq(X2,int1994) ) ),
introduced(definition),
[split] ).
cnf(602,plain,
( epred1_0
| ~ subs(X5,n374bernehmen_1_1)
| ~ sub(X1,jahr__1_1)
| ~ sub(X3,name_1_1)
| ~ temp(X5,X6)
| ~ agt(X5,X8)
| ~ attr(X6,X1)
| ~ attr(X8,X3)
| ~ val(X1,X2)
| ~ val(X3,bmw_0)
| ~ has_card_leq(X2,int1994) ),
inference(split_equiv,[status(thm)],[601]) ).
fof(603,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(604,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)],[603]) ).
cnf(605,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[435,601,theory(equality)]),603,theory(equality)]),
[split] ).
cnf(606,plain,
( epred2_0
| ~ attr(X1,c129)
| ~ sub(c129,name_1_1)
| ~ sub(X1,firma_1_1) ),
inference(spm,[status(thm)],[604,423,theory(equality)]) ).
cnf(607,plain,
( epred2_0
| ~ attr(X1,c129)
| $false
| ~ sub(X1,firma_1_1) ),
inference(rw,[status(thm)],[606,424,theory(equality)]) ).
cnf(608,plain,
( epred2_0
| ~ attr(X1,c129)
| ~ sub(X1,firma_1_1) ),
inference(cn,[status(thm)],[607,theory(equality)]) ).
cnf(609,plain,
( epred2_0
| ~ sub(c128,firma_1_1) ),
inference(spm,[status(thm)],[608,426,theory(equality)]) ).
cnf(610,plain,
( epred2_0
| $false ),
inference(rw,[status(thm)],[609,425,theory(equality)]) ).
cnf(611,plain,
epred2_0,
inference(cn,[status(thm)],[610,theory(equality)]) ).
cnf(614,negated_conjecture,
( $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[605,611,theory(equality)]) ).
cnf(615,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[614,theory(equality)]) ).
cnf(616,negated_conjecture,
( ~ subs(X5,n374bernehmen_1_1)
| ~ sub(X1,jahr__1_1)
| ~ sub(X3,name_1_1)
| ~ temp(X5,X6)
| ~ agt(X5,X8)
| ~ attr(X6,X1)
| ~ attr(X8,X3)
| ~ val(X1,X2)
| ~ val(X3,bmw_0)
| ~ has_card_leq(X2,int1994) ),
inference(sr,[status(thm)],[602,615,theory(equality)]) ).
cnf(617,negated_conjecture,
( ~ val(X2,bmw_0)
| ~ val(X3,X1)
| ~ attr(X4,X3)
| ~ attr(X5,X2)
| ~ agt(X6,X5)
| ~ temp(X6,X4)
| ~ sub(X3,jahr__1_1)
| ~ sub(X2,name_1_1)
| ~ subs(X6,n374bernehmen_1_1)
| ~ card(X1,int1994) ),
inference(spm,[status(thm)],[616,228,theory(equality)]) ).
cnf(618,plain,
( ~ card(X1,int1994)
| ~ val(X2,X1)
| ~ attr(X3,X2)
| ~ attr(X4,c129)
| ~ agt(X5,X4)
| ~ temp(X5,X3)
| ~ sub(X2,jahr__1_1)
| ~ sub(c129,name_1_1)
| ~ subs(X5,n374bernehmen_1_1) ),
inference(spm,[status(thm)],[617,423,theory(equality)]) ).
cnf(619,plain,
( ~ card(X1,int1994)
| ~ val(X2,X1)
| ~ attr(X3,X2)
| ~ attr(X4,c129)
| ~ agt(X5,X4)
| ~ temp(X5,X3)
| ~ sub(X2,jahr__1_1)
| $false
| ~ subs(X5,n374bernehmen_1_1) ),
inference(rw,[status(thm)],[618,424,theory(equality)]) ).
cnf(620,plain,
( ~ card(X1,int1994)
| ~ val(X2,X1)
| ~ attr(X3,X2)
| ~ attr(X4,c129)
| ~ agt(X5,X4)
| ~ temp(X5,X3)
| ~ sub(X2,jahr__1_1)
| ~ subs(X5,n374bernehmen_1_1) ),
inference(cn,[status(thm)],[619,theory(equality)]) ).
cnf(621,plain,
( ~ card(X1,int1994)
| ~ val(X2,X1)
| ~ attr(X3,X2)
| ~ agt(X4,c128)
| ~ temp(X4,X3)
| ~ sub(X2,jahr__1_1)
| ~ subs(X4,n374bernehmen_1_1) ),
inference(spm,[status(thm)],[620,426,theory(equality)]) ).
cnf(622,plain,
( ~ card(X1,int1994)
| ~ val(X2,X1)
| ~ attr(X3,X2)
| ~ temp(c126,X3)
| ~ sub(X2,jahr__1_1)
| ~ subs(c126,n374bernehmen_1_1) ),
inference(spm,[status(thm)],[621,431,theory(equality)]) ).
cnf(625,plain,
( ~ card(X1,int1994)
| ~ val(X2,X1)
| ~ attr(X3,X2)
| ~ temp(c126,X3)
| ~ sub(X2,jahr__1_1)
| $false ),
inference(rw,[status(thm)],[622,428,theory(equality)]) ).
cnf(626,plain,
( ~ card(X1,int1994)
| ~ val(X2,X1)
| ~ attr(X3,X2)
| ~ temp(c126,X3)
| ~ sub(X2,jahr__1_1) ),
inference(cn,[status(thm)],[625,theory(equality)]) ).
cnf(628,plain,
( ~ card(c4,int1994)
| ~ attr(X1,c8)
| ~ temp(c126,X1)
| ~ sub(c8,jahr__1_1) ),
inference(spm,[status(thm)],[626,413,theory(equality)]) ).
cnf(629,plain,
( $false
| ~ attr(X1,c8)
| ~ temp(c126,X1)
| ~ sub(c8,jahr__1_1) ),
inference(rw,[status(thm)],[628,274,theory(equality)]) ).
cnf(630,plain,
( $false
| ~ attr(X1,c8)
| ~ temp(c126,X1)
| $false ),
inference(rw,[status(thm)],[629,414,theory(equality)]) ).
cnf(631,plain,
( ~ attr(X1,c8)
| ~ temp(c126,X1) ),
inference(cn,[status(thm)],[630,theory(equality)]) ).
cnf(632,plain,
~ temp(c126,c7),
inference(spm,[status(thm)],[631,415,theory(equality)]) ).
cnf(633,plain,
$false,
inference(rw,[status(thm)],[632,427,theory(equality)]) ).
cnf(634,plain,
$false,
inference(cn,[status(thm)],[633,theory(equality)]) ).
cnf(635,plain,
$false,
634,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR115+62.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpj2VZjk/sel_CSR115+62.p_1 with time limit 29
% -prover status Theorem
% Problem CSR115+62.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR115+62.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR115+62.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
%
%------------------------------------------------------------------------------