TSTP Solution File: NUM597+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM597+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n080.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 15:21:56 EST 2018
% Result : Theorem 8.38s
% Output : CNFRefutation 8.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 40 ( 13 unt; 0 def)
% Number of atoms : 209 ( 6 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 262 ( 93 ~; 82 |; 80 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(17,conjecture,
aElementOf0(szDzizrdt0(xd),xT),
file('/export/starexec/sandbox2/tmp/tmp94aqmR/sel_theBenchmark.p_1',m__) ).
fof(32,axiom,
~ ( ( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X1,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X1),szDzizrdt0(xd)) ) ) )
=> ~ ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/tmp/tmp94aqmR/sel_theBenchmark.p_1',m__4868) ).
fof(52,axiom,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& equal(sbrdtbr0(X2),xk) )
| aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
=> equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp94aqmR/sel_theBenchmark.p_1',m__4730) ).
fof(80,axiom,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X2),X1) ) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X1,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
file('/export/starexec/sandbox2/tmp/tmp94aqmR/sel_theBenchmark.p_1',m__4758) ).
fof(96,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(assume_negation,[status(cth)],[17]) ).
fof(98,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(fof_simplification,[status(thm)],[96,theory(equality)]) ).
cnf(202,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(split_conjunct,[status(thm)],[98]) ).
fof(283,plain,
( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( aElementOf0(X1,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X1),szDzizrdt0(xd)) ) )
& ( ~ aElementOf0(X1,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X1),szDzizrdt0(xd))
| aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(284,plain,
( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( aElementOf0(X2,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd)) ) )
& ( ~ aElementOf0(X2,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd))
| aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ? [X3] : aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(variable_rename,[status(thm)],[283]) ).
fof(285,plain,
( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( aElementOf0(X2,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd)) ) )
& ( ~ aElementOf0(X2,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd))
| aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aElementOf0(esk10_0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemize,[status(esa)],[284]) ).
fof(286,plain,
! [X2] :
( ( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( aElementOf0(X2,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd)) ) )
& ( ~ aElementOf0(X2,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd))
| aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(esk10_0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(shift_quantors,[status(thm)],[285]) ).
fof(287,plain,
! [X2] :
( ( aElementOf0(X2,szDzozmdt0(xd))
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd))
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( ~ aElementOf0(X2,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd))
| aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(esk10_0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(distribute,[status(thm)],[286]) ).
cnf(288,plain,
aElementOf0(esk10_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[287]) ).
cnf(291,plain,
( sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(split_conjunct,[status(thm)],[287]) ).
cnf(292,plain,
( aElementOf0(X1,szDzozmdt0(xd))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(split_conjunct,[status(thm)],[287]) ).
fof(390,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ~ aSet0(X2)
| ( ( ( ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| ~ equal(sbrdtbr0(X2),xk) )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
| equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(391,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ! [X5] :
( ~ aSet0(X5)
| ( ( ( ? [X6] :
( aElementOf0(X6,X5)
& ~ aElementOf0(X6,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
& ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
| ~ equal(sbrdtbr0(X5),xk) )
& ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)) )
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)) ) ) ),
inference(variable_rename,[status(thm)],[390]) ).
fof(392,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ! [X5] :
( ~ aSet0(X5)
| ( ( ( aElementOf0(esk19_2(X4,X5),X5)
& ~ aElementOf0(esk19_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
& ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
| ~ equal(sbrdtbr0(X5),xk) )
& ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)) )
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)) ) ) ),
inference(skolemize,[status(esa)],[391]) ).
fof(393,plain,
! [X4,X5] :
( ( ~ aSet0(X5)
| ( ( ( aElementOf0(esk19_2(X4,X5),X5)
& ~ aElementOf0(esk19_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
& ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
| ~ equal(sbrdtbr0(X5),xk) )
& ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)) )
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[392]) ).
fof(394,plain,
! [X4,X5] :
( ( aElementOf0(esk19_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk19_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
| ~ aSet0(X5)
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0) ),
inference(distribute,[status(thm)],[393]) ).
cnf(395,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[394]) ).
fof(548,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ? [X2] :
( aElementOf0(X2,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X2),X1) ) )
& ( ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X2),X1) )
| aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(X1,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(fof_nnf,[status(thm)],[80]) ).
fof(549,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ? [X4] :
( aElementOf0(X4,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X4),X3) ) )
& ( ! [X5] :
( ~ aElementOf0(X5,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X5),X3) )
| aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& ! [X6] :
( ~ aElementOf0(X6,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(X6,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(variable_rename,[status(thm)],[548]) ).
fof(550,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ( aElementOf0(esk25_1(X3),szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,esk25_1(X3)),X3) ) )
& ( ! [X5] :
( ~ aElementOf0(X5,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X5),X3) )
| aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& ! [X6] :
( ~ aElementOf0(X6,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(X6,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(skolemize,[status(esa)],[549]) ).
fof(551,plain,
! [X3,X5,X6] :
( ( ~ aElementOf0(X6,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(X6,xT) )
& ( ~ aElementOf0(X5,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X5),X3)
| aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ( ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ( aElementOf0(esk25_1(X3),szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,esk25_1(X3)),X3) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(shift_quantors,[status(thm)],[550]) ).
fof(552,plain,
! [X3,X5,X6] :
( ( ~ aElementOf0(X6,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(X6,xT) )
& ( ~ aElementOf0(X5,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X5),X3)
| aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ( aElementOf0(esk25_1(X3),szDzozmdt0(xd))
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ( equal(sdtlpdtrp0(xd,esk25_1(X3)),X3)
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(distribute,[status(thm)],[551]) ).
cnf(557,plain,
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ),
inference(split_conjunct,[status(thm)],[552]) ).
cnf(558,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(split_conjunct,[status(thm)],[552]) ).
cnf(5331,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0)) ),
inference(rw,[status(thm)],[558,395,theory(equality)]) ).
cnf(5440,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(rw,[status(thm)],[292,395,theory(equality)]) ).
cnf(5441,plain,
aElementOf0(esk10_0,szNzAzT0),
inference(spm,[status(thm)],[5440,288,theory(equality)]) ).
cnf(5449,plain,
sdtlpdtrp0(xd,esk10_0) = szDzizrdt0(xd),
inference(spm,[status(thm)],[291,288,theory(equality)]) ).
cnf(5725,plain,
( aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ),
inference(rw,[status(thm)],[557,395,theory(equality)]) ).
cnf(5726,plain,
( aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szNzAzT0) ),
inference(rw,[status(thm)],[5725,395,theory(equality)]) ).
cnf(5727,plain,
( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[5726,theory(equality)]) ).
cnf(18133,negated_conjecture,
~ aElementOf0(sdtlpdtrp0(xd,esk10_0),xT),
inference(rw,[status(thm)],[202,5449,theory(equality)]) ).
cnf(73396,plain,
aElementOf0(sdtlpdtrp0(xd,esk10_0),sdtlcdtrc0(xd,szNzAzT0)),
inference(spm,[status(thm)],[5727,5441,theory(equality)]) ).
cnf(74042,plain,
aElementOf0(sdtlpdtrp0(xd,esk10_0),xT),
inference(spm,[status(thm)],[5331,73396,theory(equality)]) ).
cnf(74051,plain,
$false,
inference(sr,[status(thm)],[74042,18133,theory(equality)]) ).
cnf(74052,plain,
$false,
74051,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM597+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n080.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 10:12:44 CST 2018
% 0.02/0.23 % CPUTime :
% 0.07/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 8.38/8.58 -running prover on /export/starexec/sandbox2/tmp/tmp94aqmR/sel_theBenchmark.p_1 with time limit 29
% 8.38/8.58 -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/tmp94aqmR/sel_theBenchmark.p_1']
% 8.38/8.58 -prover status Theorem
% 8.38/8.58 Problem theBenchmark.p solved in phase 0.
% 8.38/8.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.38/8.58 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.38/8.58 Solved 1 out of 1.
% 8.38/8.58 # Problem is unsatisfiable (or provable), constructing proof object
% 8.38/8.58 # SZS status Theorem
% 8.38/8.58 # SZS output start CNFRefutation.
% See solution above
% 8.38/8.58 # SZS output end CNFRefutation
%------------------------------------------------------------------------------