TSTP Solution File: CSR116+44 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR116+44 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 08:01:54 EST 2010
% Result : Theorem 1.48s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 60 ( 22 unt; 0 def)
% Number of atoms : 465 ( 0 equ)
% Maximal formula atoms : 173 ( 7 avg)
% Number of connectives : 620 ( 215 ~; 199 |; 202 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 173 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 5 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 46 con; 0-0 aty)
% Number of variables : 123 ( 19 sgn 31 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(77,conjecture,
? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( arg1(X4,X1)
& arg2(X4,X5)
& attr(X1,X2)
& attr(X1,X3)
& attr(X6,X7)
& obj(X8,X1)
& prop(X5,schwarz_1_1)
& rslt(X8,X4)
& sub(X2,familiename_1_1)
& sub(X3,eigenname_1_1)
& sub(X5,X9)
& sub(X7,name_1_1)
& subr(X4,rprs_0)
& val(X2,mandela_0)
& val(X3,nelson_0)
& val(X7,s__374dafrika_0) ),
file('/tmp/tmpUUX2th/sel_CSR116+44.p_1',synth_qa07_010_mn3_310) ).
fof(78,axiom,
( sub(c16,montag__1_1)
& prop(c23,schwarz_1_1)
& sub(c23,c25)
& pmod(c25,erst_1_1,staatpr__344sident_1_1)
& obj(c27,c6)
& rslt(c27,c42)
& subs(c27,ernennen_1_2)
& temp(c27,c16)
& attch(c37,c23)
& attr(c37,c38)
& sub(c37,land_1_1)
& sub(c38,name_1_1)
& val(c38,s__374dafrika_0)
& arg1(c42,c6)
& arg2(c42,c23)
& subr(c42,rprs_0)
& attr(c6,c7)
& attr(c6,c8)
& sub(c6,mensch_1_1)
& sub(c7,eigenname_1_1)
& val(c7,nelson_0)
& sub(c8,familiename_1_1)
& val(c8,mandela_0)
& assoc(staatpr__344sident_1_1,land_1_1)
& sub(staatpr__344sident_1_1,pr__344sident_1_1)
& sort(c16,ta)
& card(c16,int1)
& etype(c16,int0)
& fact(c16,real)
& gener(c16,sp)
& quant(c16,one)
& refer(c16,det)
& varia(c16,con)
& sort(montag__1_1,ta)
& card(montag__1_1,int1)
& etype(montag__1_1,int0)
& fact(montag__1_1,real)
& gener(montag__1_1,ge)
& quant(montag__1_1,one)
& refer(montag__1_1,refer_c)
& varia(montag__1_1,varia_c)
& sort(c23,d)
& card(c23,int1)
& etype(c23,int0)
& fact(c23,real)
& gener(c23,sp)
& quant(c23,one)
& refer(c23,det)
& varia(c23,con)
& sort(schwarz_1_1,tq)
& sort(c25,d)
& card(c25,int1)
& etype(c25,int0)
& fact(c25,real)
& gener(c25,ge)
& quant(c25,one)
& refer(c25,refer_c)
& varia(c25,varia_c)
& sort(erst_1_1,oq)
& card(erst_1_1,int1)
& sort(staatpr__344sident_1_1,d)
& card(staatpr__344sident_1_1,int1)
& etype(staatpr__344sident_1_1,int0)
& fact(staatpr__344sident_1_1,real)
& gener(staatpr__344sident_1_1,ge)
& quant(staatpr__344sident_1_1,one)
& refer(staatpr__344sident_1_1,refer_c)
& varia(staatpr__344sident_1_1,varia_c)
& sort(c27,da)
& fact(c27,real)
& gener(c27,sp)
& sort(c6,d)
& card(c6,int1)
& etype(c6,int0)
& fact(c6,real)
& gener(c6,sp)
& quant(c6,one)
& refer(c6,det)
& varia(c6,con)
& sort(c42,st)
& fact(c42,real)
& gener(c42,sp)
& sort(ernennen_1_2,da)
& fact(ernennen_1_2,real)
& gener(ernennen_1_2,ge)
& sort(c37,d)
& sort(c37,io)
& card(c37,int1)
& etype(c37,int0)
& fact(c37,real)
& gener(c37,sp)
& quant(c37,one)
& refer(c37,det)
& varia(c37,con)
& sort(c38,na)
& card(c38,int1)
& etype(c38,int0)
& fact(c38,real)
& gener(c38,sp)
& quant(c38,one)
& refer(c38,indet)
& varia(c38,varia_c)
& sort(land_1_1,d)
& sort(land_1_1,io)
& card(land_1_1,int1)
& etype(land_1_1,int0)
& fact(land_1_1,real)
& gener(land_1_1,ge)
& quant(land_1_1,one)
& refer(land_1_1,refer_c)
& varia(land_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(s__374dafrika_0,fe)
& sort(rprs_0,st)
& fact(rprs_0,real)
& gener(rprs_0,gener_c)
& sort(c7,na)
& card(c7,int1)
& etype(c7,int0)
& fact(c7,real)
& gener(c7,sp)
& quant(c7,one)
& refer(c7,indet)
& varia(c7,varia_c)
& sort(c8,na)
& card(c8,int1)
& etype(c8,int0)
& fact(c8,real)
& gener(c8,sp)
& quant(c8,one)
& refer(c8,indet)
& varia(c8,varia_c)
& sort(mensch_1_1,d)
& card(mensch_1_1,int1)
& etype(mensch_1_1,int0)
& fact(mensch_1_1,real)
& gener(mensch_1_1,ge)
& quant(mensch_1_1,one)
& refer(mensch_1_1,refer_c)
& varia(mensch_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge)
& quant(familiename_1_1,one)
& refer(familiename_1_1,refer_c)
& varia(familiename_1_1,varia_c)
& sort(mandela_0,fe)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c) ),
file('/tmp/tmpUUX2th/sel_CSR116+44.p_1',ave07_era5_synth_qa07_010_mn3_310) ).
fof(79,negated_conjecture,
~ ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( arg1(X4,X1)
& arg2(X4,X5)
& attr(X1,X2)
& attr(X1,X3)
& attr(X6,X7)
& obj(X8,X1)
& prop(X5,schwarz_1_1)
& rslt(X8,X4)
& sub(X2,familiename_1_1)
& sub(X3,eigenname_1_1)
& sub(X5,X9)
& sub(X7,name_1_1)
& subr(X4,rprs_0)
& val(X2,mandela_0)
& val(X3,nelson_0)
& val(X7,s__374dafrika_0) ),
inference(assume_negation,[status(cth)],[77]) ).
fof(290,negated_conjecture,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ arg1(X4,X1)
| ~ arg2(X4,X5)
| ~ attr(X1,X2)
| ~ attr(X1,X3)
| ~ attr(X6,X7)
| ~ obj(X8,X1)
| ~ prop(X5,schwarz_1_1)
| ~ rslt(X8,X4)
| ~ sub(X2,familiename_1_1)
| ~ sub(X3,eigenname_1_1)
| ~ sub(X5,X9)
| ~ sub(X7,name_1_1)
| ~ subr(X4,rprs_0)
| ~ val(X2,mandela_0)
| ~ val(X3,nelson_0)
| ~ val(X7,s__374dafrika_0) ),
inference(fof_nnf,[status(thm)],[79]) ).
fof(291,negated_conjecture,
! [X10,X11,X12,X13,X14,X15,X16,X17,X18] :
( ~ arg1(X13,X10)
| ~ arg2(X13,X14)
| ~ attr(X10,X11)
| ~ attr(X10,X12)
| ~ attr(X15,X16)
| ~ obj(X17,X10)
| ~ prop(X14,schwarz_1_1)
| ~ rslt(X17,X13)
| ~ sub(X11,familiename_1_1)
| ~ sub(X12,eigenname_1_1)
| ~ sub(X14,X18)
| ~ sub(X16,name_1_1)
| ~ subr(X13,rprs_0)
| ~ val(X11,mandela_0)
| ~ val(X12,nelson_0)
| ~ val(X16,s__374dafrika_0) ),
inference(variable_rename,[status(thm)],[290]) ).
cnf(292,negated_conjecture,
( ~ val(X1,s__374dafrika_0)
| ~ val(X2,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X4,rprs_0)
| ~ sub(X1,name_1_1)
| ~ sub(X5,X6)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ rslt(X7,X4)
| ~ prop(X5,schwarz_1_1)
| ~ obj(X7,X8)
| ~ attr(X9,X1)
| ~ attr(X8,X2)
| ~ attr(X8,X3)
| ~ arg2(X4,X5)
| ~ arg1(X4,X8) ),
inference(split_conjunct,[status(thm)],[291]) ).
cnf(443,plain,
val(c8,mandela_0),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(444,plain,
sub(c8,familiename_1_1),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(445,plain,
val(c7,nelson_0),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(446,plain,
sub(c7,eigenname_1_1),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(448,plain,
attr(c6,c8),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(449,plain,
attr(c6,c7),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(450,plain,
subr(c42,rprs_0),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(451,plain,
arg2(c42,c23),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(452,plain,
arg1(c42,c6),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(453,plain,
val(c38,s__374dafrika_0),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(454,plain,
sub(c38,name_1_1),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(456,plain,
attr(c37,c38),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(460,plain,
rslt(c27,c42),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(461,plain,
obj(c27,c6),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(463,plain,
sub(c23,c25),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(464,plain,
prop(c23,schwarz_1_1),
inference(split_conjunct,[status(thm)],[78]) ).
fof(610,plain,
( ~ epred1_0
<=> ! [X6,X8,X5,X4,X7,X2,X3] :
( ~ arg1(X4,X8)
| ~ arg2(X4,X5)
| ~ obj(X7,X8)
| ~ subr(X4,rprs_0)
| ~ attr(X8,X2)
| ~ attr(X8,X3)
| ~ sub(X5,X6)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ prop(X5,schwarz_1_1)
| ~ rslt(X7,X4)
| ~ val(X2,nelson_0)
| ~ val(X3,mandela_0) ) ),
introduced(definition),
[split] ).
cnf(611,plain,
( epred1_0
| ~ arg1(X4,X8)
| ~ arg2(X4,X5)
| ~ obj(X7,X8)
| ~ subr(X4,rprs_0)
| ~ attr(X8,X2)
| ~ attr(X8,X3)
| ~ sub(X5,X6)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ prop(X5,schwarz_1_1)
| ~ rslt(X7,X4)
| ~ val(X2,nelson_0)
| ~ val(X3,mandela_0) ),
inference(split_equiv,[status(thm)],[610]) ).
fof(612,plain,
( ~ epred2_0
<=> ! [X9,X1] :
( ~ attr(X9,X1)
| ~ sub(X1,name_1_1)
| ~ val(X1,s__374dafrika_0) ) ),
introduced(definition),
[split] ).
cnf(613,plain,
( epred2_0
| ~ attr(X9,X1)
| ~ sub(X1,name_1_1)
| ~ val(X1,s__374dafrika_0) ),
inference(split_equiv,[status(thm)],[612]) ).
cnf(614,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[292,610,theory(equality)]),612,theory(equality)]),
[split] ).
cnf(615,plain,
( epred2_0
| ~ sub(c38,name_1_1)
| ~ attr(X1,c38) ),
inference(spm,[status(thm)],[613,453,theory(equality)]) ).
cnf(617,plain,
( epred2_0
| $false
| ~ attr(X1,c38) ),
inference(rw,[status(thm)],[615,454,theory(equality)]) ).
cnf(618,plain,
( epred2_0
| ~ attr(X1,c38) ),
inference(cn,[status(thm)],[617,theory(equality)]) ).
cnf(619,plain,
epred2_0,
inference(spm,[status(thm)],[618,456,theory(equality)]) ).
cnf(622,negated_conjecture,
( $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[614,619,theory(equality)]) ).
cnf(623,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[622,theory(equality)]) ).
cnf(632,negated_conjecture,
( ~ arg1(X4,X8)
| ~ arg2(X4,X5)
| ~ obj(X7,X8)
| ~ subr(X4,rprs_0)
| ~ attr(X8,X2)
| ~ attr(X8,X3)
| ~ sub(X5,X6)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ prop(X5,schwarz_1_1)
| ~ rslt(X7,X4)
| ~ val(X2,nelson_0)
| ~ val(X3,mandela_0) ),
inference(sr,[status(thm)],[611,623,theory(equality)]) ).
cnf(633,plain,
( ~ val(X1,mandela_0)
| ~ rslt(X2,X3)
| ~ prop(X4,schwarz_1_1)
| ~ sub(c7,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ sub(X4,X5)
| ~ attr(X6,c7)
| ~ attr(X6,X1)
| ~ subr(X3,rprs_0)
| ~ obj(X2,X6)
| ~ arg2(X3,X4)
| ~ arg1(X3,X6) ),
inference(spm,[status(thm)],[632,445,theory(equality)]) ).
cnf(635,plain,
( ~ val(X1,mandela_0)
| ~ rslt(X2,X3)
| ~ prop(X4,schwarz_1_1)
| $false
| ~ sub(X1,familiename_1_1)
| ~ sub(X4,X5)
| ~ attr(X6,c7)
| ~ attr(X6,X1)
| ~ subr(X3,rprs_0)
| ~ obj(X2,X6)
| ~ arg2(X3,X4)
| ~ arg1(X3,X6) ),
inference(rw,[status(thm)],[633,446,theory(equality)]) ).
cnf(636,plain,
( ~ val(X1,mandela_0)
| ~ rslt(X2,X3)
| ~ prop(X4,schwarz_1_1)
| ~ sub(X1,familiename_1_1)
| ~ sub(X4,X5)
| ~ attr(X6,c7)
| ~ attr(X6,X1)
| ~ subr(X3,rprs_0)
| ~ obj(X2,X6)
| ~ arg2(X3,X4)
| ~ arg1(X3,X6) ),
inference(cn,[status(thm)],[635,theory(equality)]) ).
cnf(637,plain,
( ~ rslt(X1,X2)
| ~ prop(X3,schwarz_1_1)
| ~ sub(c8,familiename_1_1)
| ~ sub(X3,X4)
| ~ attr(X5,c7)
| ~ attr(X5,c8)
| ~ subr(X2,rprs_0)
| ~ obj(X1,X5)
| ~ arg2(X2,X3)
| ~ arg1(X2,X5) ),
inference(spm,[status(thm)],[636,443,theory(equality)]) ).
cnf(639,plain,
( ~ rslt(X1,X2)
| ~ prop(X3,schwarz_1_1)
| $false
| ~ sub(X3,X4)
| ~ attr(X5,c7)
| ~ attr(X5,c8)
| ~ subr(X2,rprs_0)
| ~ obj(X1,X5)
| ~ arg2(X2,X3)
| ~ arg1(X2,X5) ),
inference(rw,[status(thm)],[637,444,theory(equality)]) ).
cnf(640,plain,
( ~ rslt(X1,X2)
| ~ prop(X3,schwarz_1_1)
| ~ sub(X3,X4)
| ~ attr(X5,c7)
| ~ attr(X5,c8)
| ~ subr(X2,rprs_0)
| ~ obj(X1,X5)
| ~ arg2(X2,X3)
| ~ arg1(X2,X5) ),
inference(cn,[status(thm)],[639,theory(equality)]) ).
cnf(641,plain,
( ~ rslt(X1,c42)
| ~ prop(X2,schwarz_1_1)
| ~ sub(X2,X3)
| ~ attr(X4,c7)
| ~ attr(X4,c8)
| ~ obj(X1,X4)
| ~ arg2(c42,X2)
| ~ arg1(c42,X4) ),
inference(spm,[status(thm)],[640,450,theory(equality)]) ).
fof(643,plain,
( ~ epred3_0
<=> ! [X4,X1] :
( ~ arg1(c42,X4)
| ~ obj(X1,X4)
| ~ attr(X4,c8)
| ~ attr(X4,c7)
| ~ rslt(X1,c42) ) ),
introduced(definition),
[split] ).
cnf(644,plain,
( epred3_0
| ~ arg1(c42,X4)
| ~ obj(X1,X4)
| ~ attr(X4,c8)
| ~ attr(X4,c7)
| ~ rslt(X1,c42) ),
inference(split_equiv,[status(thm)],[643]) ).
fof(645,plain,
( ~ epred4_0
<=> ! [X3,X2] :
( ~ arg2(c42,X2)
| ~ sub(X2,X3)
| ~ prop(X2,schwarz_1_1) ) ),
introduced(definition),
[split] ).
cnf(646,plain,
( epred4_0
| ~ arg2(c42,X2)
| ~ sub(X2,X3)
| ~ prop(X2,schwarz_1_1) ),
inference(split_equiv,[status(thm)],[645]) ).
cnf(647,plain,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[641,643,theory(equality)]),645,theory(equality)]),
[split] ).
cnf(651,plain,
( epred4_0
| ~ prop(c23,schwarz_1_1)
| ~ sub(c23,X1) ),
inference(spm,[status(thm)],[646,451,theory(equality)]) ).
cnf(652,plain,
( epred4_0
| $false
| ~ sub(c23,X1) ),
inference(rw,[status(thm)],[651,464,theory(equality)]) ).
cnf(653,plain,
( epred4_0
| ~ sub(c23,X1) ),
inference(cn,[status(thm)],[652,theory(equality)]) ).
cnf(654,plain,
epred4_0,
inference(spm,[status(thm)],[653,463,theory(equality)]) ).
cnf(662,plain,
( $false
| ~ epred3_0 ),
inference(rw,[status(thm)],[647,654,theory(equality)]) ).
cnf(663,plain,
~ epred3_0,
inference(cn,[status(thm)],[662,theory(equality)]) ).
cnf(668,plain,
( ~ arg1(c42,X4)
| ~ obj(X1,X4)
| ~ attr(X4,c8)
| ~ attr(X4,c7)
| ~ rslt(X1,c42) ),
inference(sr,[status(thm)],[644,663,theory(equality)]) ).
cnf(669,plain,
( ~ rslt(c27,c42)
| ~ attr(c6,c8)
| ~ attr(c6,c7)
| ~ arg1(c42,c6) ),
inference(spm,[status(thm)],[668,461,theory(equality)]) ).
cnf(672,plain,
( $false
| ~ attr(c6,c8)
| ~ attr(c6,c7)
| ~ arg1(c42,c6) ),
inference(rw,[status(thm)],[669,460,theory(equality)]) ).
cnf(673,plain,
( $false
| $false
| ~ attr(c6,c7)
| ~ arg1(c42,c6) ),
inference(rw,[status(thm)],[672,448,theory(equality)]) ).
cnf(674,plain,
( $false
| $false
| $false
| ~ arg1(c42,c6) ),
inference(rw,[status(thm)],[673,449,theory(equality)]) ).
cnf(675,plain,
( $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[674,452,theory(equality)]) ).
cnf(676,plain,
$false,
inference(cn,[status(thm)],[675,theory(equality)]) ).
cnf(677,plain,
$false,
676,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR116+44.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpUUX2th/sel_CSR116+44.p_1 with time limit 29
% -prover status Theorem
% Problem CSR116+44.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR116+44.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR116+44.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
%
%------------------------------------------------------------------------------