TSTP Solution File: NUM625+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM625+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n084.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:22:02 EST 2018
% Result : Theorem 0.33s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 20 unt; 0 def)
% Number of atoms : 279 ( 12 equ)
% Maximal formula atoms : 52 ( 5 avg)
% Number of connectives : 376 ( 148 ~; 157 |; 63 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 69 ( 0 sgn 50 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1',mDefSub) ).
fof(11,axiom,
( aSet0(xO)
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
file('/export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1',m__4891) ).
fof(26,axiom,
equal(xp,szmzizndt0(xQ)),
file('/export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1',m__5147) ).
fof(30,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1',mEOfElem) ).
fof(32,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( equal(X3,sdtmndt0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1',mDefDiff) ).
fof(66,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1',m__5106) ).
fof(92,axiom,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1',m__5182) ).
fof(93,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1',mNATSet) ).
fof(94,axiom,
aElementOf0(xx,xP),
file('/export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1',m__5348) ).
fof(104,axiom,
( aSet0(xP)
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
file('/export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1',m__5164) ).
fof(112,axiom,
equal(xp,xx),
file('/export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1',m__5496) ).
fof(163,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ( ~ aSubsetOf0(X2,X1)
| ( aSet0(X2)
& ! [X3] :
( ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ) ) )
& ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,X1) )
| aSubsetOf0(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(164,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ? [X7] :
( aElementOf0(X7,X5)
& ~ aElementOf0(X7,X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(variable_rename,[status(thm)],[163]) ).
fof(165,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk2_2(X4,X5),X5)
& ~ aElementOf0(esk2_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[164]) ).
fof(166,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk2_2(X4,X5),X5)
& ~ aElementOf0(esk2_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[165]) ).
fof(167,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk2_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk2_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[166]) ).
cnf(170,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(189,plain,
aSet0(xO),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(252,plain,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(264,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(265,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[264]) ).
fof(266,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[265]) ).
cnf(267,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[266]) ).
fof(273,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElement0(X2)
| ! [X3] :
( ( ~ equal(X3,sdtmndt0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) )
& ( ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| equal(X4,X2)
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| equal(X4,X2) )
& ( aElementOf0(X4,X3)
| ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) ) )
| equal(X3,sdtmndt0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(274,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtmndt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aElement0(X9)
| ~ aElementOf0(X9,X5)
| equal(X9,X6) )
& ( aElementOf0(X9,X7)
| ( aElement0(X9)
& aElementOf0(X9,X5)
& ~ equal(X9,X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[273]) ).
fof(275,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtmndt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aElement0(esk9_3(X5,X6,X7))
| ~ aElementOf0(esk9_3(X5,X6,X7),X5)
| equal(esk9_3(X5,X6,X7),X6) )
& ( aElementOf0(esk9_3(X5,X6,X7),X7)
| ( aElement0(esk9_3(X5,X6,X7))
& aElementOf0(esk9_3(X5,X6,X7),X5)
& ~ equal(esk9_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[274]) ).
fof(276,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,sdtmndt0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aElement0(esk9_3(X5,X6,X7))
| ~ aElementOf0(esk9_3(X5,X6,X7),X5)
| equal(esk9_3(X5,X6,X7),X6) )
& ( aElementOf0(esk9_3(X5,X6,X7),X7)
| ( aElement0(esk9_3(X5,X6,X7))
& aElementOf0(esk9_3(X5,X6,X7),X5)
& ~ equal(esk9_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[275]) ).
fof(277,plain,
! [X5,X6,X7,X8] :
( ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(X8,X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aSet0(X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aElement0(esk9_3(X5,X6,X7))
| ~ aElementOf0(esk9_3(X5,X6,X7),X5)
| equal(esk9_3(X5,X6,X7),X6)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk9_3(X5,X6,X7))
| aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk9_3(X5,X6,X7),X5)
| aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk9_3(X5,X6,X7),X6)
| aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[276]) ).
cnf(284,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3)
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[277]) ).
cnf(436,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(520,plain,
aElementOf0(xp,xO),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(522,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[93]) ).
cnf(523,plain,
aElementOf0(xx,xP),
inference(split_conjunct,[status(thm)],[94]) ).
cnf(548,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[104]) ).
cnf(578,plain,
xp = xx,
inference(split_conjunct,[status(thm)],[112]) ).
cnf(612,plain,
szmzizndt0(xQ) = xx,
inference(rw,[status(thm)],[252,578,theory(equality)]) ).
cnf(615,plain,
aElementOf0(xx,xO),
inference(rw,[status(thm)],[520,578,theory(equality)]) ).
cnf(628,plain,
sdtmndt0(xQ,xx) = xP,
inference(rw,[status(thm)],[548,612,theory(equality)]) ).
cnf(706,plain,
( aSet0(xQ)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[170,436,theory(equality)]) ).
cnf(716,plain,
( aSet0(xQ)
| $false ),
inference(rw,[status(thm)],[706,522,theory(equality)]) ).
cnf(717,plain,
aSet0(xQ),
inference(cn,[status(thm)],[716,theory(equality)]) ).
cnf(762,plain,
( aElement0(xx)
| ~ aSet0(xO) ),
inference(spm,[status(thm)],[267,615,theory(equality)]) ).
cnf(784,plain,
( aElement0(xx)
| $false ),
inference(rw,[status(thm)],[762,189,theory(equality)]) ).
cnf(785,plain,
aElement0(xx),
inference(cn,[status(thm)],[784,theory(equality)]) ).
cnf(1017,plain,
( sdtmndt0(X1,X2) != X3
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X3) ),
inference(er,[status(thm)],[284,theory(equality)]) ).
cnf(6341,plain,
( xP != X1
| ~ aElement0(xx)
| ~ aSet0(xQ)
| ~ aElementOf0(xx,X1) ),
inference(spm,[status(thm)],[1017,628,theory(equality)]) ).
cnf(6343,plain,
( xP != X1
| $false
| ~ aSet0(xQ)
| ~ aElementOf0(xx,X1) ),
inference(rw,[status(thm)],[6341,785,theory(equality)]) ).
cnf(6344,plain,
( xP != X1
| $false
| $false
| ~ aElementOf0(xx,X1) ),
inference(rw,[status(thm)],[6343,717,theory(equality)]) ).
cnf(6345,plain,
( xP != X1
| ~ aElementOf0(xx,X1) ),
inference(cn,[status(thm)],[6344,theory(equality)]) ).
cnf(6350,plain,
$false,
inference(spm,[status(thm)],[6345,523,theory(equality)]) ).
cnf(6377,plain,
$false,
6350,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM625+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n084.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 10:58:15 CST 2018
% 0.03/0.24 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.28 --creating new selector for []
% 0.33/0.56 -running prover on /export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1 with time limit 29
% 0.33/0.56 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpNAMYYY/sel_theBenchmark.p_1']
% 0.33/0.56 -prover status Theorem
% 0.33/0.56 Problem theBenchmark.p solved in phase 0.
% 0.33/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/0.56 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/0.56 Solved 1 out of 1.
% 0.33/0.56 # Problem is unsatisfiable (or provable), constructing proof object
% 0.33/0.56 # SZS status Theorem
% 0.33/0.56 # SZS output start CNFRefutation.
% See solution above
% 0.33/0.56 # SZS output end CNFRefutation
%------------------------------------------------------------------------------