TSTP Solution File: CSR112+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR112+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 07:08:35 EST 2010
% Result : Theorem 1.45s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 63 ( 18 unt; 0 def)
% Number of atoms : 381 ( 0 equ)
% Maximal formula atoms : 166 ( 6 avg)
% Number of connectives : 451 ( 133 ~; 118 |; 193 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 166 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 6 prp; 0-9 aty)
% Number of functors : 51 ( 51 usr; 49 con; 0-3 aty)
% Number of variables : 133 ( 23 sgn 52 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1,X2,X3] :
( ( attr(X3,X1)
& member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& sub(X1,X2) )
=> ? [X4] :
( arg1(X4,X3)
& arg2(X4,X3)
& subs(X4,hei__337en_1_1) ) ),
file('/tmp/tmpSHxGhY/sel_CSR112+1.p_1',attr_name_hei__337en_1_1) ).
fof(17,axiom,
! [X1,X2] : member(X1,cons(X1,X2)),
file('/tmp/tmpSHxGhY/sel_CSR112+1.p_1',member_first) ).
fof(47,axiom,
! [X1,X2,X3] :
( member(X1,X3)
=> member(X1,cons(X2,X3)) ),
file('/tmp/tmpSHxGhY/sel_CSR112+1.p_1',member_second) ).
fof(53,axiom,
( sub(c5909,bahn_1_1)
& pred(c5910,linie_1_1)
& pred(c5912,u1_1_1)
& attr(c5919,c5920)
& sub(c5919,einrichtung_1_2)
& sub(c5920,name_1_1)
& val(c5920,u2_0)
& pred(c5921,u3_1_1)
& sub(c5932,abstand_1_1)
& pred(c5937,minute_1_1)
& tupl_p9(c6138,c5901,c5909,c5910,c5912,c5919,c5921,c5932,c5937)
& sort(c5909,io)
& card(c5909,int1)
& etype(c5909,int0)
& fact(c5909,real)
& gener(c5909,gener_c)
& quant(c5909,one)
& refer(c5909,refer_c)
& varia(c5909,varia_c)
& sort(bahn_1_1,io)
& card(bahn_1_1,int1)
& etype(bahn_1_1,int0)
& fact(bahn_1_1,real)
& gener(bahn_1_1,ge)
& quant(bahn_1_1,one)
& refer(bahn_1_1,refer_c)
& varia(bahn_1_1,varia_c)
& sort(c5910,d)
& sort(c5910,io)
& card(c5910,cons(x_constant,cons(int1,nil)))
& etype(c5910,int1)
& fact(c5910,real)
& gener(c5910,gener_c)
& quant(c5910,mult)
& refer(c5910,indet)
& varia(c5910,varia_c)
& sort(linie_1_1,d)
& sort(linie_1_1,io)
& card(linie_1_1,int1)
& etype(linie_1_1,int0)
& fact(linie_1_1,real)
& gener(linie_1_1,ge)
& quant(linie_1_1,one)
& refer(linie_1_1,refer_c)
& varia(linie_1_1,varia_c)
& sort(c5912,o)
& card(c5912,cons(x_constant,cons(int1,nil)))
& etype(c5912,int1)
& fact(c5912,real)
& gener(c5912,gener_c)
& quant(c5912,mult)
& refer(c5912,indet)
& varia(c5912,varia_c)
& sort(u1_1_1,o)
& card(u1_1_1,int1)
& etype(u1_1_1,int0)
& fact(u1_1_1,real)
& gener(u1_1_1,ge)
& quant(u1_1_1,one)
& refer(u1_1_1,refer_c)
& varia(u1_1_1,varia_c)
& sort(c5919,d)
& sort(c5919,io)
& card(c5919,int1)
& etype(c5919,int1)
& fact(c5919,real)
& gener(c5919,sp)
& quant(c5919,one)
& refer(c5919,det)
& varia(c5919,con)
& sort(c5920,na)
& card(c5920,int1)
& etype(c5920,int0)
& fact(c5920,real)
& gener(c5920,sp)
& quant(c5920,one)
& refer(c5920,indet)
& varia(c5920,varia_c)
& sort(einrichtung_1_2,d)
& sort(einrichtung_1_2,io)
& card(einrichtung_1_2,card_c)
& etype(einrichtung_1_2,int1)
& fact(einrichtung_1_2,real)
& gener(einrichtung_1_2,ge)
& quant(einrichtung_1_2,quant_c)
& refer(einrichtung_1_2,refer_c)
& varia(einrichtung_1_2,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(u2_0,fe)
& sort(c5921,o)
& card(c5921,cons(x_constant,cons(int1,nil)))
& etype(c5921,int1)
& fact(c5921,real)
& gener(c5921,gener_c)
& quant(c5921,mult)
& refer(c5921,indet)
& varia(c5921,varia_c)
& sort(u3_1_1,o)
& card(u3_1_1,int1)
& etype(u3_1_1,int0)
& fact(u3_1_1,real)
& gener(u3_1_1,ge)
& quant(u3_1_1,one)
& refer(u3_1_1,refer_c)
& varia(u3_1_1,varia_c)
& sort(c5932,io)
& sort(c5932,na)
& card(c5932,int1)
& etype(c5932,int0)
& fact(c5932,real)
& gener(c5932,sp)
& quant(c5932,one)
& refer(c5932,det)
& varia(c5932,con)
& sort(abstand_1_1,io)
& sort(abstand_1_1,na)
& card(abstand_1_1,int1)
& etype(abstand_1_1,int0)
& fact(abstand_1_1,real)
& gener(abstand_1_1,ge)
& quant(abstand_1_1,one)
& refer(abstand_1_1,refer_c)
& varia(abstand_1_1,varia_c)
& sort(c5937,me)
& sort(c5937,oa)
& sort(c5937,ta)
& card(c5937,card_c)
& etype(c5937,etype_c)
& fact(c5937,real)
& gener(c5937,gener_c)
& quant(c5937,quant_c)
& refer(c5937,refer_c)
& varia(c5937,varia_c)
& sort(minute_1_1,me)
& sort(minute_1_1,oa)
& sort(minute_1_1,ta)
& card(minute_1_1,card_c)
& etype(minute_1_1,etype_c)
& fact(minute_1_1,real)
& gener(minute_1_1,ge)
& quant(minute_1_1,quant_c)
& refer(minute_1_1,refer_c)
& varia(minute_1_1,varia_c)
& sort(c6138,ent)
& card(c6138,card_c)
& etype(c6138,etype_c)
& fact(c6138,real)
& gener(c6138,gener_c)
& quant(c6138,quant_c)
& refer(c6138,refer_c)
& varia(c6138,varia_c)
& sort(c5901,o)
& card(c5901,int1)
& etype(c5901,int0)
& fact(c5901,real)
& gener(c5901,sp)
& quant(c5901,one)
& refer(c5901,det)
& varia(c5901,varia_c) ),
file('/tmp/tmpSHxGhY/sel_CSR112+1.p_1',ave07_era5_synth_qa07_001_qapn_4) ).
fof(54,conjecture,
? [X1,X2,X3,X4,X5,X6,X7,X8] :
( arg1(X5,X6)
& arg2(X5,X1)
& attr(X8,X7)
& pred(X3,linie_1_1)
& pred(X4,u1_1_1)
& sub(X2,bahn_1_1)
& sub(X7,name_1_1)
& subs(X5,hei__337en_1_1)
& val(X7,u2_0) ),
file('/tmp/tmpSHxGhY/sel_CSR112+1.p_1',synth_qa07_001_qapn_4) ).
fof(55,negated_conjecture,
~ ? [X1,X2,X3,X4,X5,X6,X7,X8] :
( arg1(X5,X6)
& arg2(X5,X1)
& attr(X8,X7)
& pred(X3,linie_1_1)
& pred(X4,u1_1_1)
& sub(X2,bahn_1_1)
& sub(X7,name_1_1)
& subs(X5,hei__337en_1_1)
& val(X7,u2_0) ),
inference(assume_negation,[status(cth)],[54]) ).
fof(83,plain,
! [X1,X2,X3] :
( ~ attr(X3,X1)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X1,X2)
| ? [X4] :
( arg1(X4,X3)
& arg2(X4,X3)
& subs(X4,hei__337en_1_1) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(84,plain,
! [X5,X6,X7] :
( ~ attr(X7,X5)
| ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X5,X6)
| ? [X8] :
( arg1(X8,X7)
& arg2(X8,X7)
& subs(X8,hei__337en_1_1) ) ),
inference(variable_rename,[status(thm)],[83]) ).
fof(85,plain,
! [X5,X6,X7] :
( ~ attr(X7,X5)
| ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X5,X6)
| ( arg1(esk4_3(X5,X6,X7),X7)
& arg2(esk4_3(X5,X6,X7),X7)
& subs(esk4_3(X5,X6,X7),hei__337en_1_1) ) ),
inference(skolemize,[status(esa)],[84]) ).
fof(86,plain,
! [X5,X6,X7] :
( ( arg1(esk4_3(X5,X6,X7),X7)
| ~ attr(X7,X5)
| ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X5,X6) )
& ( arg2(esk4_3(X5,X6,X7),X7)
| ~ attr(X7,X5)
| ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X5,X6) )
& ( subs(esk4_3(X5,X6,X7),hei__337en_1_1)
| ~ attr(X7,X5)
| ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X5,X6) ) ),
inference(distribute,[status(thm)],[85]) ).
cnf(87,plain,
( subs(esk4_3(X1,X2,X3),hei__337en_1_1)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X3,X1) ),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(88,plain,
( arg2(esk4_3(X1,X2,X3),X3)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X3,X1) ),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(89,plain,
( arg1(esk4_3(X1,X2,X3),X3)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X3,X1) ),
inference(split_conjunct,[status(thm)],[86]) ).
fof(110,plain,
! [X3,X4] : member(X3,cons(X3,X4)),
inference(variable_rename,[status(thm)],[17]) ).
cnf(111,plain,
member(X1,cons(X1,X2)),
inference(split_conjunct,[status(thm)],[110]) ).
fof(189,plain,
! [X1,X2,X3] :
( ~ member(X1,X3)
| member(X1,cons(X2,X3)) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(190,plain,
! [X4,X5,X6] :
( ~ member(X4,X6)
| member(X4,cons(X5,X6)) ),
inference(variable_rename,[status(thm)],[189]) ).
cnf(191,plain,
( member(X1,cons(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[190]) ).
cnf(362,plain,
val(c5920,u2_0),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(363,plain,
sub(c5920,name_1_1),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(365,plain,
attr(c5919,c5920),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(366,plain,
pred(c5912,u1_1_1),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(367,plain,
pred(c5910,linie_1_1),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(368,plain,
sub(c5909,bahn_1_1),
inference(split_conjunct,[status(thm)],[53]) ).
fof(369,negated_conjecture,
! [X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ arg1(X5,X6)
| ~ arg2(X5,X1)
| ~ attr(X8,X7)
| ~ pred(X3,linie_1_1)
| ~ pred(X4,u1_1_1)
| ~ sub(X2,bahn_1_1)
| ~ sub(X7,name_1_1)
| ~ subs(X5,hei__337en_1_1)
| ~ val(X7,u2_0) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(370,negated_conjecture,
! [X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ arg1(X13,X14)
| ~ arg2(X13,X9)
| ~ attr(X16,X15)
| ~ pred(X11,linie_1_1)
| ~ pred(X12,u1_1_1)
| ~ sub(X10,bahn_1_1)
| ~ sub(X15,name_1_1)
| ~ subs(X13,hei__337en_1_1)
| ~ val(X15,u2_0) ),
inference(variable_rename,[status(thm)],[369]) ).
cnf(371,negated_conjecture,
( ~ val(X1,u2_0)
| ~ subs(X2,hei__337en_1_1)
| ~ sub(X1,name_1_1)
| ~ sub(X3,bahn_1_1)
| ~ pred(X4,u1_1_1)
| ~ pred(X5,linie_1_1)
| ~ attr(X6,X1)
| ~ arg2(X2,X7)
| ~ arg1(X2,X8) ),
inference(split_conjunct,[status(thm)],[370]) ).
cnf(497,plain,
( subs(esk4_3(X1,X2,X3),hei__337en_1_1)
| ~ sub(X1,X2)
| ~ attr(X3,X1)
| ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(spm,[status(thm)],[87,191,theory(equality)]) ).
cnf(499,plain,
( arg1(esk4_3(X1,X2,X3),X3)
| ~ sub(X1,X2)
| ~ attr(X3,X1)
| ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(spm,[status(thm)],[89,191,theory(equality)]) ).
cnf(501,plain,
( arg2(esk4_3(X1,X2,X3),X3)
| ~ sub(X1,X2)
| ~ attr(X3,X1)
| ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(spm,[status(thm)],[88,191,theory(equality)]) ).
fof(502,plain,
( ~ epred1_0
<=> ! [X6,X1] :
( ~ attr(X6,X1)
| ~ sub(X1,name_1_1)
| ~ val(X1,u2_0) ) ),
introduced(definition),
[split] ).
cnf(503,plain,
( epred1_0
| ~ attr(X6,X1)
| ~ sub(X1,name_1_1)
| ~ val(X1,u2_0) ),
inference(split_equiv,[status(thm)],[502]) ).
fof(504,plain,
( ~ epred2_0
<=> ! [X5] : ~ pred(X5,linie_1_1) ),
introduced(definition),
[split] ).
cnf(505,plain,
( epred2_0
| ~ pred(X5,linie_1_1) ),
inference(split_equiv,[status(thm)],[504]) ).
fof(506,plain,
( ~ epred3_0
<=> ! [X4] : ~ pred(X4,u1_1_1) ),
introduced(definition),
[split] ).
cnf(507,plain,
( epred3_0
| ~ pred(X4,u1_1_1) ),
inference(split_equiv,[status(thm)],[506]) ).
fof(508,plain,
( ~ epred4_0
<=> ! [X3] : ~ sub(X3,bahn_1_1) ),
introduced(definition),
[split] ).
cnf(509,plain,
( epred4_0
| ~ sub(X3,bahn_1_1) ),
inference(split_equiv,[status(thm)],[508]) ).
fof(510,plain,
( ~ epred5_0
<=> ! [X7,X8,X2] :
( ~ subs(X2,hei__337en_1_1)
| ~ arg1(X2,X8)
| ~ arg2(X2,X7) ) ),
introduced(definition),
[split] ).
cnf(511,plain,
( epred5_0
| ~ subs(X2,hei__337en_1_1)
| ~ arg1(X2,X8)
| ~ arg2(X2,X7) ),
inference(split_equiv,[status(thm)],[510]) ).
cnf(512,negated_conjecture,
( ~ epred5_0
| ~ epred4_0
| ~ epred3_0
| ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[371,502,theory(equality)]),504,theory(equality)]),506,theory(equality)]),508,theory(equality)]),510,theory(equality)]),
[split] ).
cnf(513,plain,
epred2_0,
inference(spm,[status(thm)],[505,367,theory(equality)]) ).
cnf(516,plain,
epred3_0,
inference(spm,[status(thm)],[507,366,theory(equality)]) ).
cnf(521,plain,
epred4_0,
inference(spm,[status(thm)],[509,368,theory(equality)]) ).
cnf(524,plain,
( epred1_0
| ~ sub(c5920,name_1_1)
| ~ attr(X1,c5920) ),
inference(spm,[status(thm)],[503,362,theory(equality)]) ).
cnf(525,plain,
( epred1_0
| $false
| ~ attr(X1,c5920) ),
inference(rw,[status(thm)],[524,363,theory(equality)]) ).
cnf(526,plain,
( epred1_0
| ~ attr(X1,c5920) ),
inference(cn,[status(thm)],[525,theory(equality)]) ).
cnf(527,plain,
epred1_0,
inference(spm,[status(thm)],[526,365,theory(equality)]) ).
cnf(531,negated_conjecture,
( ~ epred5_0
| $false
| ~ epred3_0
| ~ epred2_0
| ~ epred1_0 ),
inference(rw,[status(thm)],[512,521,theory(equality)]) ).
cnf(532,negated_conjecture,
( ~ epred5_0
| $false
| $false
| ~ epred2_0
| ~ epred1_0 ),
inference(rw,[status(thm)],[531,516,theory(equality)]) ).
cnf(533,negated_conjecture,
( ~ epred5_0
| $false
| $false
| $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[532,513,theory(equality)]) ).
cnf(534,negated_conjecture,
( ~ epred5_0
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[533,527,theory(equality)]) ).
cnf(535,negated_conjecture,
~ epred5_0,
inference(cn,[status(thm)],[534,theory(equality)]) ).
cnf(625,negated_conjecture,
( epred5_0
| ~ arg1(esk4_3(X1,X2,X3),X4)
| ~ subs(esk4_3(X1,X2,X3),hei__337en_1_1)
| ~ sub(X1,X2)
| ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil)))
| ~ attr(X3,X1) ),
inference(spm,[status(thm)],[511,501,theory(equality)]) ).
cnf(626,negated_conjecture,
( ~ arg1(esk4_3(X1,X2,X3),X4)
| ~ subs(esk4_3(X1,X2,X3),hei__337en_1_1)
| ~ sub(X1,X2)
| ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil)))
| ~ attr(X3,X1) ),
inference(sr,[status(thm)],[625,535,theory(equality)]) ).
cnf(639,negated_conjecture,
( ~ sub(X1,X2)
| ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil)))
| ~ attr(X3,X1)
| ~ arg1(esk4_3(X1,X2,X3),X4) ),
inference(csr,[status(thm)],[626,497]) ).
cnf(640,negated_conjecture,
( ~ sub(X1,X2)
| ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil)))
| ~ attr(X3,X1) ),
inference(spm,[status(thm)],[639,499,theory(equality)]) ).
cnf(642,negated_conjecture,
( ~ sub(X1,X2)
| ~ attr(X3,X1)
| ~ member(X2,cons(name_1_1,nil)) ),
inference(spm,[status(thm)],[640,191,theory(equality)]) ).
cnf(649,negated_conjecture,
( ~ sub(X1,name_1_1)
| ~ attr(X2,X1) ),
inference(spm,[status(thm)],[642,111,theory(equality)]) ).
cnf(658,plain,
~ sub(c5920,name_1_1),
inference(spm,[status(thm)],[649,365,theory(equality)]) ).
cnf(659,plain,
$false,
inference(rw,[status(thm)],[658,363,theory(equality)]) ).
cnf(660,plain,
$false,
inference(cn,[status(thm)],[659,theory(equality)]) ).
cnf(661,plain,
$false,
660,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR112+1.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpSHxGhY/sel_CSR112+1.p_1 with time limit 29
% -prover status Theorem
% Problem CSR112+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR112+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR112+1.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
%
%------------------------------------------------------------------------------