%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM539+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n083.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 15:21:42 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 60 ( 14 unt; 0 def)
% Number of atoms : 262 ( 21 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 335 ( 133 ~; 142 |; 51 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 88 ( 1 sgn 53 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& ~ equal(X1,slcrc0) )
=> ! [X2] :
( equal(X2,szmzizndt0(X1))
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmprCGhuY/sel_theBenchmark.p_1',mDefMin) ).
fof(14,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmprCGhuY/sel_theBenchmark.p_1',mDefSub) ).
fof(15,axiom,
( aSubsetOf0(xS,szNzAzT0)
& aSubsetOf0(xT,szNzAzT0)
& ~ equal(xS,slcrc0)
& ~ equal(xT,slcrc0) ),
file('/export/starexec/sandbox2/tmp/tmprCGhuY/sel_theBenchmark.p_1',m__1779) ).
fof(27,axiom,
! [X1] :
( equal(X1,slcrc0)
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmprCGhuY/sel_theBenchmark.p_1',mDefEmp) ).
fof(33,conjecture,
equal(szmzizndt0(xS),szmzizndt0(xT)),
file('/export/starexec/sandbox2/tmp/tmprCGhuY/sel_theBenchmark.p_1',m__) ).
fof(38,axiom,
( aElementOf0(szmzizndt0(xS),xT)
& aElementOf0(szmzizndt0(xT),xS) ),
file('/export/starexec/sandbox2/tmp/tmprCGhuY/sel_theBenchmark.p_1',m__1802) ).
fof(40,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmprCGhuY/sel_theBenchmark.p_1',mNATSet) ).
fof(42,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmprCGhuY/sel_theBenchmark.p_1',mLessASymm) ).
fof(52,negated_conjecture,
~ equal(szmzizndt0(xS),szmzizndt0(xT)),
inference(assume_negation,[status(cth)],[33]) ).
fof(56,negated_conjecture,
~ equal(szmzizndt0(xS),szmzizndt0(xT)),
inference(fof_simplification,[status(thm)],[52,theory(equality)]) ).
fof(94,plain,
! [X1] :
( ~ aSubsetOf0(X1,szNzAzT0)
| equal(X1,slcrc0)
| ! [X2] :
( ( ~ equal(X2,szmzizndt0(X1))
| ( aElementOf0(X2,X1)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlseqdt0(X2,X3) ) ) )
& ( ~ aElementOf0(X2,X1)
| ? [X3] :
( aElementOf0(X3,X1)
& ~ sdtlseqdt0(X2,X3) )
| equal(X2,szmzizndt0(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(95,plain,
! [X4] :
( ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0)
| ! [X5] :
( ( ~ equal(X5,szmzizndt0(X4))
| ( aElementOf0(X5,X4)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6) ) ) )
& ( ~ aElementOf0(X5,X4)
| ? [X7] :
( aElementOf0(X7,X4)
& ~ sdtlseqdt0(X5,X7) )
| equal(X5,szmzizndt0(X4)) ) ) ),
inference(variable_rename,[status(thm)],[94]) ).
fof(96,plain,
! [X4] :
( ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0)
| ! [X5] :
( ( ~ equal(X5,szmzizndt0(X4))
| ( aElementOf0(X5,X4)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6) ) ) )
& ( ~ aElementOf0(X5,X4)
| ( aElementOf0(esk3_2(X4,X5),X4)
& ~ sdtlseqdt0(X5,esk3_2(X4,X5)) )
| equal(X5,szmzizndt0(X4)) ) ) ),
inference(skolemize,[status(esa)],[95]) ).
fof(97,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6) )
& aElementOf0(X5,X4) )
| ~ equal(X5,szmzizndt0(X4)) )
& ( ~ aElementOf0(X5,X4)
| ( aElementOf0(esk3_2(X4,X5),X4)
& ~ sdtlseqdt0(X5,esk3_2(X4,X5)) )
| equal(X5,szmzizndt0(X4)) ) )
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) ),
inference(shift_quantors,[status(thm)],[96]) ).
fof(98,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6)
| ~ equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) )
& ( aElementOf0(X5,X4)
| ~ equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) )
& ( aElementOf0(esk3_2(X4,X5),X4)
| ~ aElementOf0(X5,X4)
| equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) )
& ( ~ sdtlseqdt0(X5,esk3_2(X4,X5))
| ~ aElementOf0(X5,X4)
| equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) ) ),
inference(distribute,[status(thm)],[97]) ).
cnf(102,plain,
( X1 = slcrc0
| sdtlseqdt0(X2,X3)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1)
| ~ aElementOf0(X3,X1) ),
inference(split_conjunct,[status(thm)],[98]) ).
fof(120,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)],[14]) ).
fof(121,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)],[120]) ).
fof(122,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[121]) ).
fof(123,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[122]) ).
fof(124,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk4_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk4_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[123]) ).
cnf(128,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[124]) ).
cnf(131,plain,
aSubsetOf0(xT,szNzAzT0),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(132,plain,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[15]) ).
fof(175,plain,
! [X1] :
( ( ~ equal(X1,slcrc0)
| ( aSet0(X1)
& ! [X2] : ~ aElementOf0(X2,X1) ) )
& ( ~ aSet0(X1)
| ? [X2] : aElementOf0(X2,X1)
| equal(X1,slcrc0) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(176,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| ? [X5] : aElementOf0(X5,X3)
| equal(X3,slcrc0) ) ),
inference(variable_rename,[status(thm)],[175]) ).
fof(177,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| aElementOf0(esk6_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(skolemize,[status(esa)],[176]) ).
fof(178,plain,
! [X3,X4] :
( ( ( ~ aElementOf0(X4,X3)
& aSet0(X3) )
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk6_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(shift_quantors,[status(thm)],[177]) ).
fof(179,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,X3)
| ~ equal(X3,slcrc0) )
& ( aSet0(X3)
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk6_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(distribute,[status(thm)],[178]) ).
cnf(182,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[179]) ).
cnf(202,negated_conjecture,
szmzizndt0(xS) != szmzizndt0(xT),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(215,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(216,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(223,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[40]) ).
fof(227,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(228,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[227]) ).
cnf(229,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[228]) ).
cnf(348,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[128,132,theory(equality)]) ).
cnf(349,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xT)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[128,131,theory(equality)]) ).
cnf(351,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS)
| $false ),
inference(rw,[status(thm)],[348,223,theory(equality)]) ).
cnf(352,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[351,theory(equality)]) ).
cnf(353,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xT)
| $false ),
inference(rw,[status(thm)],[349,223,theory(equality)]) ).
cnf(354,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[353,theory(equality)]) ).
cnf(370,plain,
( sdtlseqdt0(X2,X3)
| szmzizndt0(X1) != X2
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[102,182]) ).
cnf(371,plain,
( sdtlseqdt0(X1,szmzizndt0(xS))
| szmzizndt0(xT) != X1
| ~ aSubsetOf0(xT,szNzAzT0) ),
inference(spm,[status(thm)],[370,216,theory(equality)]) ).
cnf(372,plain,
( sdtlseqdt0(X1,szmzizndt0(xT))
| szmzizndt0(xS) != X1
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(spm,[status(thm)],[370,215,theory(equality)]) ).
cnf(379,plain,
( sdtlseqdt0(X1,szmzizndt0(xS))
| szmzizndt0(xT) != X1
| $false ),
inference(rw,[status(thm)],[371,131,theory(equality)]) ).
cnf(380,plain,
( sdtlseqdt0(X1,szmzizndt0(xS))
| szmzizndt0(xT) != X1 ),
inference(cn,[status(thm)],[379,theory(equality)]) ).
cnf(381,plain,
( sdtlseqdt0(X1,szmzizndt0(xT))
| szmzizndt0(xS) != X1
| $false ),
inference(rw,[status(thm)],[372,132,theory(equality)]) ).
cnf(382,plain,
( sdtlseqdt0(X1,szmzizndt0(xT))
| szmzizndt0(xS) != X1 ),
inference(cn,[status(thm)],[381,theory(equality)]) ).
cnf(522,plain,
( szmzizndt0(xS) = X1
| ~ sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| szmzizndt0(xT) != X1 ),
inference(spm,[status(thm)],[229,380,theory(equality)]) ).
cnf(533,plain,
aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(spm,[status(thm)],[352,215,theory(equality)]) ).
cnf(565,plain,
aElementOf0(szmzizndt0(xS),szNzAzT0),
inference(spm,[status(thm)],[354,216,theory(equality)]) ).
cnf(760,plain,
( szmzizndt0(xS) = X1
| ~ sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,szNzAzT0)
| $false
| szmzizndt0(xT) != X1 ),
inference(rw,[status(thm)],[522,565,theory(equality)]) ).
cnf(761,plain,
( szmzizndt0(xS) = X1
| ~ sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,szNzAzT0)
| szmzizndt0(xT) != X1 ),
inference(cn,[status(thm)],[760,theory(equality)]) ).
cnf(763,plain,
( szmzizndt0(xS) = szmzizndt0(xT)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(spm,[status(thm)],[761,382,theory(equality)]) ).
cnf(768,plain,
( szmzizndt0(xS) = szmzizndt0(xT)
| $false ),
inference(rw,[status(thm)],[763,533,theory(equality)]) ).
cnf(769,plain,
szmzizndt0(xS) = szmzizndt0(xT),
inference(cn,[status(thm)],[768,theory(equality)]) ).
cnf(770,plain,
$false,
inference(sr,[status(thm)],[769,202,theory(equality)]) ).
cnf(771,plain,
$false,
770,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM539+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.05 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n083.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 07:59:45 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 []
% 0.06/0.38 -running prover on /export/starexec/sandbox2/tmp/tmprCGhuY/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.38 -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/tmprCGhuY/sel_theBenchmark.p_1']
% 0.06/0.38 -prover status Theorem
% 0.06/0.38 Problem theBenchmark.p solved in phase 0.
% 0.06/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.38 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.38 Solved 1 out of 1.
% 0.06/0.38 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.38 # SZS status Theorem
% 0.06/0.38 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.39 # SZS output end CNFRefutation
%------------------------------------------------------------------------------