%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG108+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 : Sun Dec 26 02:24:21 EST 2010
% Result : Theorem 0.29s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 9
% Syntax : Number of formulae : 62 ( 11 unt; 0 def)
% Number of atoms : 335 ( 64 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 451 ( 178 ~; 183 |; 80 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 106 ( 0 sgn 63 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/tmp/tmpI6Zryr/sel_RNG108+1.p_1',mMulZero) ).
fof(11,axiom,
! [X1] :
( aElement0(X1)
=> aIdeal0(slsdtgt0(X1)) ),
file('/tmp/tmpI6Zryr/sel_RNG108+1.p_1',mPrIdeal) ).
fof(14,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/tmp/tmpI6Zryr/sel_RNG108+1.p_1',mMulUnit) ).
fof(20,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( X2 = slsdtgt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(X1,X4) = X3 ) ) ) ) ),
file('/tmp/tmpI6Zryr/sel_RNG108+1.p_1',mDefPrIdeal) ).
fof(22,axiom,
aElement0(sz10),
file('/tmp/tmpI6Zryr/sel_RNG108+1.p_1',mSortsC_01) ).
fof(24,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('/tmp/tmpI6Zryr/sel_RNG108+1.p_1',mDefIdeal) ).
fof(29,axiom,
aElement0(sz00),
file('/tmp/tmpI6Zryr/sel_RNG108+1.p_1',mSortsC) ).
fof(33,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/tmp/tmpI6Zryr/sel_RNG108+1.p_1',m__2091) ).
fof(43,conjecture,
( aElementOf0(sz00,slsdtgt0(xa))
& aElementOf0(xa,slsdtgt0(xa))
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xb,slsdtgt0(xb)) ),
file('/tmp/tmpI6Zryr/sel_RNG108+1.p_1',m__) ).
fof(44,negated_conjecture,
~ ( aElementOf0(sz00,slsdtgt0(xa))
& aElementOf0(xa,slsdtgt0(xa))
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xb,slsdtgt0(xb)) ),
inference(assume_negation,[status(cth)],[43]) ).
fof(52,plain,
! [X1] :
( ~ aElement0(X1)
| ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(53,plain,
! [X2] :
( ~ aElement0(X2)
| ( sdtasdt0(X2,sz00) = sz00
& sz00 = sdtasdt0(sz00,X2) ) ),
inference(variable_rename,[status(thm)],[52]) ).
fof(54,plain,
! [X2] :
( ( sdtasdt0(X2,sz00) = sz00
| ~ aElement0(X2) )
& ( sz00 = sdtasdt0(sz00,X2)
| ~ aElement0(X2) ) ),
inference(distribute,[status(thm)],[53]) ).
cnf(55,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(96,plain,
! [X1] :
( ~ aElement0(X1)
| aIdeal0(slsdtgt0(X1)) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(97,plain,
! [X2] :
( ~ aElement0(X2)
| aIdeal0(slsdtgt0(X2)) ),
inference(variable_rename,[status(thm)],[96]) ).
cnf(98,plain,
( aIdeal0(slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[97]) ).
fof(105,plain,
! [X1] :
( ~ aElement0(X1)
| ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(106,plain,
! [X2] :
( ~ aElement0(X2)
| ( sdtasdt0(X2,sz10) = X2
& X2 = sdtasdt0(sz10,X2) ) ),
inference(variable_rename,[status(thm)],[105]) ).
fof(107,plain,
! [X2] :
( ( sdtasdt0(X2,sz10) = X2
| ~ aElement0(X2) )
& ( X2 = sdtasdt0(sz10,X2)
| ~ aElement0(X2) ) ),
inference(distribute,[status(thm)],[106]) ).
cnf(109,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[107]) ).
fof(129,plain,
! [X1] :
( ~ aElement0(X1)
| ! [X2] :
( ( X2 != slsdtgt0(X1)
| ( aSet0(X2)
& ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ? [X4] :
( aElement0(X4)
& sdtasdt0(X1,X4) = X3 ) )
& ( ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(X1,X4) != X3 )
| aElementOf0(X3,X2) ) ) ) )
& ( ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(X1,X4) != X3 ) )
& ( aElementOf0(X3,X2)
| ? [X4] :
( aElement0(X4)
& sdtasdt0(X1,X4) = X3 ) ) )
| X2 = slsdtgt0(X1) ) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(130,plain,
! [X5] :
( ~ aElement0(X5)
| ! [X6] :
( ( X6 != slsdtgt0(X5)
| ( aSet0(X6)
& ! [X7] :
( ( ~ aElementOf0(X7,X6)
| ? [X8] :
( aElement0(X8)
& sdtasdt0(X5,X8) = X7 ) )
& ( ! [X9] :
( ~ aElement0(X9)
| sdtasdt0(X5,X9) != X7 )
| aElementOf0(X7,X6) ) ) ) )
& ( ~ aSet0(X6)
| ? [X10] :
( ( ~ aElementOf0(X10,X6)
| ! [X11] :
( ~ aElement0(X11)
| sdtasdt0(X5,X11) != X10 ) )
& ( aElementOf0(X10,X6)
| ? [X12] :
( aElement0(X12)
& sdtasdt0(X5,X12) = X10 ) ) )
| X6 = slsdtgt0(X5) ) ) ),
inference(variable_rename,[status(thm)],[129]) ).
fof(131,plain,
! [X5] :
( ~ aElement0(X5)
| ! [X6] :
( ( X6 != slsdtgt0(X5)
| ( aSet0(X6)
& ! [X7] :
( ( ~ aElementOf0(X7,X6)
| ( aElement0(esk6_3(X5,X6,X7))
& sdtasdt0(X5,esk6_3(X5,X6,X7)) = X7 ) )
& ( ! [X9] :
( ~ aElement0(X9)
| sdtasdt0(X5,X9) != X7 )
| aElementOf0(X7,X6) ) ) ) )
& ( ~ aSet0(X6)
| ( ( ~ aElementOf0(esk7_2(X5,X6),X6)
| ! [X11] :
( ~ aElement0(X11)
| sdtasdt0(X5,X11) != esk7_2(X5,X6) ) )
& ( aElementOf0(esk7_2(X5,X6),X6)
| ( aElement0(esk8_2(X5,X6))
& sdtasdt0(X5,esk8_2(X5,X6)) = esk7_2(X5,X6) ) ) )
| X6 = slsdtgt0(X5) ) ) ),
inference(skolemize,[status(esa)],[130]) ).
fof(132,plain,
! [X5,X6,X7,X9,X11] :
( ( ( ( ( ~ aElement0(X11)
| sdtasdt0(X5,X11) != esk7_2(X5,X6)
| ~ aElementOf0(esk7_2(X5,X6),X6) )
& ( aElementOf0(esk7_2(X5,X6),X6)
| ( aElement0(esk8_2(X5,X6))
& sdtasdt0(X5,esk8_2(X5,X6)) = esk7_2(X5,X6) ) ) )
| ~ aSet0(X6)
| X6 = slsdtgt0(X5) )
& ( ( ( ~ aElement0(X9)
| sdtasdt0(X5,X9) != X7
| aElementOf0(X7,X6) )
& ( ~ aElementOf0(X7,X6)
| ( aElement0(esk6_3(X5,X6,X7))
& sdtasdt0(X5,esk6_3(X5,X6,X7)) = X7 ) )
& aSet0(X6) )
| X6 != slsdtgt0(X5) ) )
| ~ aElement0(X5) ),
inference(shift_quantors,[status(thm)],[131]) ).
fof(133,plain,
! [X5,X6,X7,X9,X11] :
( ( ~ aElement0(X11)
| sdtasdt0(X5,X11) != esk7_2(X5,X6)
| ~ aElementOf0(esk7_2(X5,X6),X6)
| ~ aSet0(X6)
| X6 = slsdtgt0(X5)
| ~ aElement0(X5) )
& ( aElement0(esk8_2(X5,X6))
| aElementOf0(esk7_2(X5,X6),X6)
| ~ aSet0(X6)
| X6 = slsdtgt0(X5)
| ~ aElement0(X5) )
& ( sdtasdt0(X5,esk8_2(X5,X6)) = esk7_2(X5,X6)
| aElementOf0(esk7_2(X5,X6),X6)
| ~ aSet0(X6)
| X6 = slsdtgt0(X5)
| ~ aElement0(X5) )
& ( ~ aElement0(X9)
| sdtasdt0(X5,X9) != X7
| aElementOf0(X7,X6)
| X6 != slsdtgt0(X5)
| ~ aElement0(X5) )
& ( aElement0(esk6_3(X5,X6,X7))
| ~ aElementOf0(X7,X6)
| X6 != slsdtgt0(X5)
| ~ aElement0(X5) )
& ( sdtasdt0(X5,esk6_3(X5,X6,X7)) = X7
| ~ aElementOf0(X7,X6)
| X6 != slsdtgt0(X5)
| ~ aElement0(X5) )
& ( aSet0(X6)
| X6 != slsdtgt0(X5)
| ~ aElement0(X5) ) ),
inference(distribute,[status(thm)],[132]) ).
cnf(137,plain,
( aElementOf0(X3,X2)
| ~ aElement0(X1)
| X2 != slsdtgt0(X1)
| sdtasdt0(X1,X4) != X3
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(142,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[22]) ).
fof(145,plain,
! [X1] :
( ( ~ aIdeal0(X1)
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) )
& ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ( ? [X3] :
( aElementOf0(X3,X1)
& ~ aElementOf0(sdtpldt0(X2,X3),X1) )
| ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X2),X1) ) ) )
| aIdeal0(X1) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(146,plain,
! [X4] :
( ( ~ aIdeal0(X4)
| ( aSet0(X4)
& ! [X5] :
( ~ aElementOf0(X5,X4)
| ( ! [X6] :
( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4) )
& ! [X7] :
( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4) ) ) ) ) )
& ( ~ aSet0(X4)
| ? [X8] :
( aElementOf0(X8,X4)
& ( ? [X9] :
( aElementOf0(X9,X4)
& ~ aElementOf0(sdtpldt0(X8,X9),X4) )
| ? [X10] :
( aElement0(X10)
& ~ aElementOf0(sdtasdt0(X10,X8),X4) ) ) )
| aIdeal0(X4) ) ),
inference(variable_rename,[status(thm)],[145]) ).
fof(147,plain,
! [X4] :
( ( ~ aIdeal0(X4)
| ( aSet0(X4)
& ! [X5] :
( ~ aElementOf0(X5,X4)
| ( ! [X6] :
( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4) )
& ! [X7] :
( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4) ) ) ) ) )
& ( ~ aSet0(X4)
| ( aElementOf0(esk9_1(X4),X4)
& ( ( aElementOf0(esk10_1(X4),X4)
& ~ aElementOf0(sdtpldt0(esk9_1(X4),esk10_1(X4)),X4) )
| ( aElement0(esk11_1(X4))
& ~ aElementOf0(sdtasdt0(esk11_1(X4),esk9_1(X4)),X4) ) ) )
| aIdeal0(X4) ) ),
inference(skolemize,[status(esa)],[146]) ).
fof(148,plain,
! [X4,X5,X6,X7] :
( ( ( ( ( ( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4) )
& ( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4) ) )
| ~ aElementOf0(X5,X4) )
& aSet0(X4) )
| ~ aIdeal0(X4) )
& ( ~ aSet0(X4)
| ( aElementOf0(esk9_1(X4),X4)
& ( ( aElementOf0(esk10_1(X4),X4)
& ~ aElementOf0(sdtpldt0(esk9_1(X4),esk10_1(X4)),X4) )
| ( aElement0(esk11_1(X4))
& ~ aElementOf0(sdtasdt0(esk11_1(X4),esk9_1(X4)),X4) ) ) )
| aIdeal0(X4) ) ),
inference(shift_quantors,[status(thm)],[147]) ).
fof(149,plain,
! [X4,X5,X6,X7] :
( ( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( aSet0(X4)
| ~ aIdeal0(X4) )
& ( aElementOf0(esk9_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( aElement0(esk11_1(X4))
| aElementOf0(esk10_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X4),esk9_1(X4)),X4)
| aElementOf0(esk10_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( aElement0(esk11_1(X4))
| ~ aElementOf0(sdtpldt0(esk9_1(X4),esk10_1(X4)),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X4),esk9_1(X4)),X4)
| ~ aElementOf0(sdtpldt0(esk9_1(X4),esk10_1(X4)),X4)
| ~ aSet0(X4)
| aIdeal0(X4) ) ),
inference(distribute,[status(thm)],[148]) ).
cnf(157,plain,
( aElementOf0(sdtasdt0(X3,X2),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(183,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(201,plain,
aElement0(xb),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(202,plain,
aElement0(xa),
inference(split_conjunct,[status(thm)],[33]) ).
fof(250,negated_conjecture,
( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xb,slsdtgt0(xb)) ),
inference(fof_nnf,[status(thm)],[44]) ).
cnf(251,negated_conjecture,
( ~ aElementOf0(xb,slsdtgt0(xb))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[250]) ).
cnf(362,plain,
( aElementOf0(sz00,X2)
| ~ aIdeal0(X2)
| ~ aElement0(sz00)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[157,55,theory(equality)]) ).
cnf(370,plain,
( aElementOf0(sz00,X2)
| ~ aIdeal0(X2)
| $false
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[362,183,theory(equality)]) ).
cnf(371,plain,
( aElementOf0(sz00,X2)
| ~ aIdeal0(X2)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[370,theory(equality)]) ).
cnf(423,plain,
( aElementOf0(X1,X2)
| X3 != X1
| slsdtgt0(X3) != X2
| ~ aElement0(sz10)
| ~ aElement0(X3) ),
inference(spm,[status(thm)],[137,109,theory(equality)]) ).
cnf(432,plain,
( aElementOf0(X1,X2)
| X3 != X1
| slsdtgt0(X3) != X2
| $false
| ~ aElement0(X3) ),
inference(rw,[status(thm)],[423,142,theory(equality)]) ).
cnf(433,plain,
( aElementOf0(X1,X2)
| X3 != X1
| slsdtgt0(X3) != X2
| ~ aElement0(X3) ),
inference(cn,[status(thm)],[432,theory(equality)]) ).
cnf(434,plain,
( aElementOf0(X1,X2)
| slsdtgt0(X1) != X2
| ~ aElement0(X1) ),
inference(er,[status(thm)],[433,theory(equality)]) ).
cnf(881,plain,
( aElementOf0(X1,slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[434,theory(equality)]) ).
cnf(883,negated_conjecture,
( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElement0(xb) ),
inference(spm,[status(thm)],[251,881,theory(equality)]) ).
cnf(886,negated_conjecture,
( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xa,slsdtgt0(xa))
| $false ),
inference(rw,[status(thm)],[883,201,theory(equality)]) ).
cnf(887,negated_conjecture,
( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xa,slsdtgt0(xa)) ),
inference(cn,[status(thm)],[886,theory(equality)]) ).
cnf(913,plain,
( aElementOf0(sz00,slsdtgt0(X1))
| ~ aIdeal0(slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[371,881,theory(equality)]) ).
cnf(915,plain,
( aElementOf0(sz00,slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[913,98]) ).
cnf(935,negated_conjecture,
( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElement0(xa) ),
inference(spm,[status(thm)],[887,881,theory(equality)]) ).
cnf(936,negated_conjecture,
( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| $false ),
inference(rw,[status(thm)],[935,202,theory(equality)]) ).
cnf(937,negated_conjecture,
( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb)) ),
inference(cn,[status(thm)],[936,theory(equality)]) ).
cnf(938,negated_conjecture,
( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElement0(xb) ),
inference(spm,[status(thm)],[937,915,theory(equality)]) ).
cnf(939,negated_conjecture,
( ~ aElementOf0(sz00,slsdtgt0(xa))
| $false ),
inference(rw,[status(thm)],[938,201,theory(equality)]) ).
cnf(940,negated_conjecture,
~ aElementOf0(sz00,slsdtgt0(xa)),
inference(cn,[status(thm)],[939,theory(equality)]) ).
cnf(941,negated_conjecture,
~ aElement0(xa),
inference(spm,[status(thm)],[940,915,theory(equality)]) ).
cnf(942,negated_conjecture,
$false,
inference(rw,[status(thm)],[941,202,theory(equality)]) ).
cnf(943,negated_conjecture,
$false,
inference(cn,[status(thm)],[942,theory(equality)]) ).
cnf(944,negated_conjecture,
$false,
943,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG108+1.p
% --creating new selector for []
% -running prover on /tmp/tmpI6Zryr/sel_RNG108+1.p_1 with time limit 29
% -prover status Theorem
% Problem RNG108+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG108+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG108+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
%
%------------------------------------------------------------------------------