TSTP Solution File: CSR115+66 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR115+66 : 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 07:45:30 EST 2010
% Result : Theorem 1.36s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 17 unt; 0 def)
% Number of atoms : 318 ( 0 equ)
% Maximal formula atoms : 127 ( 6 avg)
% Number of connectives : 414 ( 142 ~; 123 |; 146 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 127 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 3 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 45 con; 0-0 aty)
% Number of variables : 99 ( 2 sgn 27 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(53,axiom,
! [X1,X2] :
( card(X1,X2)
=> has_card_leq(X1,X2) ),
file('/tmp/tmpFWhLu7/sel_CSR115+66.p_1',has_card_eq) ).
fof(72,axiom,
( assoc(autobauer_1_1,automobil_1_1)
& sub(autobauer_1_1,fabrikant_1_1)
& attr(c103,c104)
& prop(c103,britisch__1_1)
& sub(c103,autobauer_1_1)
& sub(c104,name_1_1)
& val(c104,rover_0)
& agt(c3,c86)
& obj(c3,c103)
& subs(c3,n374bernehmen_1_1)
& temp(c3,c4)
& attr(c4,c5)
& sub(c5,jahr__1_1)
& val(c5,c1)
& attr(c86,c87)
& sub(c86,firma_1_1)
& sub(c87,name_1_1)
& val(c87,bmw_0)
& sort(autobauer_1_1,d)
& sort(autobauer_1_1,io)
& card(autobauer_1_1,int1)
& etype(autobauer_1_1,int0)
& fact(autobauer_1_1,real)
& gener(autobauer_1_1,ge)
& quant(autobauer_1_1,one)
& refer(autobauer_1_1,refer_c)
& varia(autobauer_1_1,varia_c)
& sort(automobil_1_1,tq)
& sort(fabrikant_1_1,d)
& sort(fabrikant_1_1,io)
& card(fabrikant_1_1,int1)
& etype(fabrikant_1_1,int0)
& fact(fabrikant_1_1,real)
& gener(fabrikant_1_1,ge)
& quant(fabrikant_1_1,one)
& refer(fabrikant_1_1,refer_c)
& varia(fabrikant_1_1,varia_c)
& sort(c103,d)
& sort(c103,io)
& card(c103,int1)
& etype(c103,int0)
& fact(c103,real)
& gener(c103,sp)
& quant(c103,one)
& refer(c103,det)
& varia(c103,con)
& sort(c104,na)
& card(c104,int1)
& etype(c104,int0)
& fact(c104,real)
& gener(c104,sp)
& quant(c104,one)
& refer(c104,indet)
& varia(c104,varia_c)
& sort(britisch__1_1,nq)
& 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(rover_0,fe)
& sort(c3,da)
& fact(c3,real)
& gener(c3,sp)
& sort(c86,d)
& sort(c86,io)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,det)
& varia(c86,con)
& sort(n374bernehmen_1_1,da)
& fact(n374bernehmen_1_1,real)
& gener(n374bernehmen_1_1,ge)
& sort(c4,t)
& card(c4,int1)
& etype(c4,int0)
& fact(c4,real)
& gener(c4,sp)
& quant(c4,one)
& refer(c4,det)
& varia(c4,con)
& sort(c5,me)
& sort(c5,oa)
& sort(c5,ta)
& card(c5,card_c)
& etype(c5,etype_c)
& fact(c5,real)
& gener(c5,sp)
& quant(c5,quant_c)
& refer(c5,refer_c)
& varia(c5,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(c1,nu)
& card(c1,int1994)
& sort(c87,na)
& card(c87,int1)
& etype(c87,int0)
& fact(c87,real)
& gener(c87,sp)
& quant(c87,one)
& refer(c87,indet)
& varia(c87,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(bmw_0,fe) ),
file('/tmp/tmpFWhLu7/sel_CSR115+66.p_1',ave07_era5_synth_qa07_007_mira_wp_475_a19984) ).
fof(73,conjecture,
? [X1,X2,X3,X4,X5,X6,X7] :
( agt(X4,X3)
& attr(X3,X2)
& attr(X5,X6)
& has_card_leq(X7,int1994)
& sub(X1,firma_1_1)
& sub(X2,name_1_1)
& sub(X6,jahr__1_1)
& subs(X4,n374bernehmen_1_1)
& temp(X4,X5)
& val(X2,bmw_0)
& val(X6,X7) ),
file('/tmp/tmpFWhLu7/sel_CSR115+66.p_1',synth_qa07_007_mira_wp_475_a19984) ).
fof(74,negated_conjecture,
~ ? [X1,X2,X3,X4,X5,X6,X7] :
( agt(X4,X3)
& attr(X3,X2)
& attr(X5,X6)
& has_card_leq(X7,int1994)
& sub(X1,firma_1_1)
& sub(X2,name_1_1)
& sub(X6,jahr__1_1)
& subs(X4,n374bernehmen_1_1)
& temp(X4,X5)
& val(X2,bmw_0)
& val(X6,X7) ),
inference(assume_negation,[status(cth)],[73]) ).
fof(197,plain,
! [X1,X2] :
( ~ card(X1,X2)
| has_card_leq(X1,X2) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(198,plain,
! [X3,X4] :
( ~ card(X3,X4)
| has_card_leq(X3,X4) ),
inference(variable_rename,[status(thm)],[197]) ).
cnf(199,plain,
( has_card_leq(X1,X2)
| ~ card(X1,X2) ),
inference(split_conjunct,[status(thm)],[198]) ).
cnf(259,plain,
card(c1,int1994),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(350,plain,
val(c87,bmw_0),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(351,plain,
sub(c87,name_1_1),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(352,plain,
sub(c86,firma_1_1),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(353,plain,
attr(c86,c87),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(354,plain,
val(c5,c1),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(355,plain,
sub(c5,jahr__1_1),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(356,plain,
attr(c4,c5),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(357,plain,
temp(c3,c4),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(358,plain,
subs(c3,n374bernehmen_1_1),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(360,plain,
agt(c3,c86),
inference(split_conjunct,[status(thm)],[72]) ).
fof(368,negated_conjecture,
! [X1,X2,X3,X4,X5,X6,X7] :
( ~ agt(X4,X3)
| ~ attr(X3,X2)
| ~ attr(X5,X6)
| ~ has_card_leq(X7,int1994)
| ~ sub(X1,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ sub(X6,jahr__1_1)
| ~ subs(X4,n374bernehmen_1_1)
| ~ temp(X4,X5)
| ~ val(X2,bmw_0)
| ~ val(X6,X7) ),
inference(fof_nnf,[status(thm)],[74]) ).
fof(369,negated_conjecture,
! [X8,X9,X10,X11,X12,X13,X14] :
( ~ agt(X11,X10)
| ~ attr(X10,X9)
| ~ attr(X12,X13)
| ~ has_card_leq(X14,int1994)
| ~ sub(X8,firma_1_1)
| ~ sub(X9,name_1_1)
| ~ sub(X13,jahr__1_1)
| ~ subs(X11,n374bernehmen_1_1)
| ~ temp(X11,X12)
| ~ val(X9,bmw_0)
| ~ val(X13,X14) ),
inference(variable_rename,[status(thm)],[368]) ).
cnf(370,negated_conjecture,
( ~ val(X1,X2)
| ~ val(X3,bmw_0)
| ~ temp(X4,X5)
| ~ subs(X4,n374bernehmen_1_1)
| ~ sub(X1,jahr__1_1)
| ~ sub(X3,name_1_1)
| ~ sub(X6,firma_1_1)
| ~ has_card_leq(X2,int1994)
| ~ attr(X5,X1)
| ~ attr(X7,X3)
| ~ agt(X4,X7) ),
inference(split_conjunct,[status(thm)],[369]) ).
fof(508,plain,
( ~ epred1_0
<=> ! [X5,X2,X4,X7,X1,X3] :
( ~ subs(X4,n374bernehmen_1_1)
| ~ sub(X1,jahr__1_1)
| ~ sub(X3,name_1_1)
| ~ temp(X4,X5)
| ~ agt(X4,X7)
| ~ has_card_leq(X2,int1994)
| ~ attr(X5,X1)
| ~ attr(X7,X3)
| ~ val(X1,X2)
| ~ val(X3,bmw_0) ) ),
introduced(definition),
[split] ).
cnf(509,plain,
( epred1_0
| ~ subs(X4,n374bernehmen_1_1)
| ~ sub(X1,jahr__1_1)
| ~ sub(X3,name_1_1)
| ~ temp(X4,X5)
| ~ agt(X4,X7)
| ~ has_card_leq(X2,int1994)
| ~ attr(X5,X1)
| ~ attr(X7,X3)
| ~ val(X1,X2)
| ~ val(X3,bmw_0) ),
inference(split_equiv,[status(thm)],[508]) ).
fof(510,plain,
( ~ epred2_0
<=> ! [X6] : ~ sub(X6,firma_1_1) ),
introduced(definition),
[split] ).
cnf(511,plain,
( epred2_0
| ~ sub(X6,firma_1_1) ),
inference(split_equiv,[status(thm)],[510]) ).
cnf(512,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[370,508,theory(equality)]),510,theory(equality)]),
[split] ).
cnf(513,plain,
epred2_0,
inference(spm,[status(thm)],[511,352,theory(equality)]) ).
cnf(515,negated_conjecture,
( $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[512,513,theory(equality)]) ).
cnf(516,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[515,theory(equality)]) ).
cnf(517,negated_conjecture,
( ~ subs(X4,n374bernehmen_1_1)
| ~ sub(X1,jahr__1_1)
| ~ sub(X3,name_1_1)
| ~ temp(X4,X5)
| ~ agt(X4,X7)
| ~ has_card_leq(X2,int1994)
| ~ attr(X5,X1)
| ~ attr(X7,X3)
| ~ val(X1,X2)
| ~ val(X3,bmw_0) ),
inference(sr,[status(thm)],[509,516,theory(equality)]) ).
cnf(518,plain,
( ~ val(X1,X2)
| ~ attr(X3,X1)
| ~ attr(X4,c87)
| ~ has_card_leq(X2,int1994)
| ~ agt(X5,X4)
| ~ temp(X5,X3)
| ~ sub(X1,jahr__1_1)
| ~ sub(c87,name_1_1)
| ~ subs(X5,n374bernehmen_1_1) ),
inference(spm,[status(thm)],[517,350,theory(equality)]) ).
cnf(519,plain,
( ~ val(X1,X2)
| ~ attr(X3,X1)
| ~ attr(X4,c87)
| ~ has_card_leq(X2,int1994)
| ~ agt(X5,X4)
| ~ temp(X5,X3)
| ~ sub(X1,jahr__1_1)
| $false
| ~ subs(X5,n374bernehmen_1_1) ),
inference(rw,[status(thm)],[518,351,theory(equality)]) ).
cnf(520,plain,
( ~ val(X1,X2)
| ~ attr(X3,X1)
| ~ attr(X4,c87)
| ~ has_card_leq(X2,int1994)
| ~ agt(X5,X4)
| ~ temp(X5,X3)
| ~ sub(X1,jahr__1_1)
| ~ subs(X5,n374bernehmen_1_1) ),
inference(cn,[status(thm)],[519,theory(equality)]) ).
cnf(521,plain,
( ~ val(X1,X2)
| ~ attr(X3,X1)
| ~ has_card_leq(X2,int1994)
| ~ agt(X4,c86)
| ~ temp(X4,X3)
| ~ sub(X1,jahr__1_1)
| ~ subs(X4,n374bernehmen_1_1) ),
inference(spm,[status(thm)],[520,353,theory(equality)]) ).
cnf(522,plain,
( ~ val(X1,X2)
| ~ attr(X3,X1)
| ~ agt(X4,c86)
| ~ temp(X4,X3)
| ~ sub(X1,jahr__1_1)
| ~ subs(X4,n374bernehmen_1_1)
| ~ card(X2,int1994) ),
inference(spm,[status(thm)],[521,199,theory(equality)]) ).
cnf(523,plain,
( ~ val(X1,X2)
| ~ attr(X3,X1)
| ~ card(X2,int1994)
| ~ temp(c3,X3)
| ~ sub(X1,jahr__1_1)
| ~ subs(c3,n374bernehmen_1_1) ),
inference(spm,[status(thm)],[522,360,theory(equality)]) ).
cnf(526,plain,
( ~ val(X1,X2)
| ~ attr(X3,X1)
| ~ card(X2,int1994)
| ~ temp(c3,X3)
| ~ sub(X1,jahr__1_1)
| $false ),
inference(rw,[status(thm)],[523,358,theory(equality)]) ).
cnf(527,plain,
( ~ val(X1,X2)
| ~ attr(X3,X1)
| ~ card(X2,int1994)
| ~ temp(c3,X3)
| ~ sub(X1,jahr__1_1) ),
inference(cn,[status(thm)],[526,theory(equality)]) ).
cnf(530,plain,
( ~ attr(X1,c5)
| ~ card(c1,int1994)
| ~ temp(c3,X1)
| ~ sub(c5,jahr__1_1) ),
inference(spm,[status(thm)],[527,354,theory(equality)]) ).
cnf(531,plain,
( ~ attr(X1,c5)
| $false
| ~ temp(c3,X1)
| ~ sub(c5,jahr__1_1) ),
inference(rw,[status(thm)],[530,259,theory(equality)]) ).
cnf(532,plain,
( ~ attr(X1,c5)
| $false
| ~ temp(c3,X1)
| $false ),
inference(rw,[status(thm)],[531,355,theory(equality)]) ).
cnf(533,plain,
( ~ attr(X1,c5)
| ~ temp(c3,X1) ),
inference(cn,[status(thm)],[532,theory(equality)]) ).
cnf(534,plain,
~ temp(c3,c4),
inference(spm,[status(thm)],[533,356,theory(equality)]) ).
cnf(535,plain,
$false,
inference(rw,[status(thm)],[534,357,theory(equality)]) ).
cnf(536,plain,
$false,
inference(cn,[status(thm)],[535,theory(equality)]) ).
cnf(537,plain,
$false,
536,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR115+66.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpFWhLu7/sel_CSR115+66.p_1 with time limit 29
% -prover status Theorem
% Problem CSR115+66.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR115+66.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR115+66.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
%
%------------------------------------------------------------------------------