TSTP Solution File: NUM540+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM540+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n094.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 15:21:43 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 10 unt; 0 def)
% Number of atoms : 210 ( 21 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 280 ( 112 ~; 119 |; 43 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 33 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('/export/starexec/sandbox/tmp/tmp3jwFPQ/sel_theBenchmark.p_1',mNoScLessZr) ).
fof(26,axiom,
! [X1] :
( equal(X1,slcrc0)
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp3jwFPQ/sel_theBenchmark.p_1',mDefEmp) ).
fof(30,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp3jwFPQ/sel_theBenchmark.p_1',mZeroNum) ).
fof(33,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( equal(X2,slbdtrb0(X1))
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp3jwFPQ/sel_theBenchmark.p_1',mDefSeg) ).
fof(34,conjecture,
equal(slbdtrb0(sz00),slcrc0),
file('/export/starexec/sandbox/tmp/tmp3jwFPQ/sel_theBenchmark.p_1',m__) ).
fof(53,negated_conjecture,
~ equal(slbdtrb0(sz00),slcrc0),
inference(assume_negation,[status(cth)],[34]) ).
fof(54,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(57,negated_conjecture,
~ equal(slbdtrb0(sz00),slcrc0),
inference(fof_simplification,[status(thm)],[53,theory(equality)]) ).
fof(62,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(63,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),sz00) ),
inference(variable_rename,[status(thm)],[62]) ).
cnf(64,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X1),sz00)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[63]) ).
fof(172,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)],[26]) ).
fof(173,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)],[172]) ).
fof(174,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)],[173]) ).
fof(175,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)],[174]) ).
fof(176,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)],[175]) ).
cnf(177,plain,
( X1 = slcrc0
| aElementOf0(esk6_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[176]) ).
cnf(189,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[30]) ).
fof(202,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ( ~ equal(X2,slbdtrb0(X1))
| ( aSet0(X2)
& ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) )
& ( ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X1)
| aElementOf0(X3,X2) ) ) ) )
& ( ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X1) )
& ( aElementOf0(X3,X2)
| ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) )
| equal(X2,slbdtrb0(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(203,plain,
! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ! [X5] :
( ( ~ equal(X5,slbdtrb0(X4))
| ( aSet0(X5)
& ! [X6] :
( ( ~ aElementOf0(X6,X5)
| ( aElementOf0(X6,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X6),X4) ) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5) ) ) ) )
& ( ~ aSet0(X5)
| ? [X7] :
( ( ~ aElementOf0(X7,X5)
| ~ aElementOf0(X7,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X7),X4) )
& ( aElementOf0(X7,X5)
| ( aElementOf0(X7,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X7),X4) ) ) )
| equal(X5,slbdtrb0(X4)) ) ) ),
inference(variable_rename,[status(thm)],[202]) ).
fof(204,plain,
! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ! [X5] :
( ( ~ equal(X5,slbdtrb0(X4))
| ( aSet0(X5)
& ! [X6] :
( ( ~ aElementOf0(X6,X5)
| ( aElementOf0(X6,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X6),X4) ) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5) ) ) ) )
& ( ~ aSet0(X5)
| ( ( ~ aElementOf0(esk8_2(X4,X5),X5)
| ~ aElementOf0(esk8_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4) )
& ( aElementOf0(esk8_2(X4,X5),X5)
| ( aElementOf0(esk8_2(X4,X5),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4) ) ) )
| equal(X5,slbdtrb0(X4)) ) ) ),
inference(skolemize,[status(esa)],[203]) ).
fof(205,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| ( aElementOf0(X6,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X6),X4) ) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5) )
& aSet0(X5) )
| ~ equal(X5,slbdtrb0(X4)) )
& ( ~ aSet0(X5)
| ( ( ~ aElementOf0(esk8_2(X4,X5),X5)
| ~ aElementOf0(esk8_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4) )
& ( aElementOf0(esk8_2(X4,X5),X5)
| ( aElementOf0(esk8_2(X4,X5),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4) ) ) )
| equal(X5,slbdtrb0(X4)) ) )
| ~ aElementOf0(X4,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[204]) ).
fof(206,plain,
! [X4,X5,X6] :
( ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,X5)
| ~ equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X6),X4)
| ~ aElementOf0(X6,X5)
| ~ equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5)
| ~ equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( aSet0(X5)
| ~ equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk8_2(X4,X5),X5)
| ~ aElementOf0(esk8_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4)
| ~ aSet0(X5)
| equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(esk8_2(X4,X5),szNzAzT0)
| aElementOf0(esk8_2(X4,X5),X5)
| ~ aSet0(X5)
| equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4)
| aElementOf0(esk8_2(X4,X5),X5)
| ~ aSet0(X5)
| equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[205]) ).
cnf(210,plain,
( aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1) ),
inference(split_conjunct,[status(thm)],[206]) ).
cnf(212,plain,
( sdtlseqdt0(szszuzczcdt0(X3),X1)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[206]) ).
cnf(213,plain,
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[206]) ).
cnf(214,negated_conjecture,
slbdtrb0(sz00) != slcrc0,
inference(split_conjunct,[status(thm)],[57]) ).
cnf(355,plain,
( aElementOf0(esk6_1(X1),szNzAzT0)
| slcrc0 = X1
| slbdtrb0(X2) != X1
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[213,177,theory(equality)]) ).
cnf(361,plain,
( sdtlseqdt0(szszuzczcdt0(esk6_1(X1)),X2)
| slcrc0 = X1
| slbdtrb0(X2) != X1
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[212,177,theory(equality)]) ).
cnf(1235,plain,
( slcrc0 = X1
| aElementOf0(esk6_1(X1),szNzAzT0)
| slbdtrb0(X2) != X1
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[355,210]) ).
cnf(1236,plain,
( slcrc0 = slbdtrb0(X1)
| aElementOf0(esk6_1(slbdtrb0(X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[1235,theory(equality)]) ).
cnf(1374,plain,
( slcrc0 = X1
| sdtlseqdt0(szszuzczcdt0(esk6_1(X1)),X2)
| slbdtrb0(X2) != X1
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[361,210]) ).
cnf(1375,plain,
( slcrc0 = slbdtrb0(X1)
| sdtlseqdt0(szszuzczcdt0(esk6_1(slbdtrb0(X1))),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[1374,theory(equality)]) ).
cnf(1376,plain,
( slbdtrb0(sz00) = slcrc0
| ~ aElementOf0(esk6_1(slbdtrb0(sz00)),szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(spm,[status(thm)],[64,1375,theory(equality)]) ).
cnf(1384,plain,
( slbdtrb0(sz00) = slcrc0
| ~ aElementOf0(esk6_1(slbdtrb0(sz00)),szNzAzT0)
| $false ),
inference(rw,[status(thm)],[1376,189,theory(equality)]) ).
cnf(1385,plain,
( slbdtrb0(sz00) = slcrc0
| ~ aElementOf0(esk6_1(slbdtrb0(sz00)),szNzAzT0) ),
inference(cn,[status(thm)],[1384,theory(equality)]) ).
cnf(1386,plain,
~ aElementOf0(esk6_1(slbdtrb0(sz00)),szNzAzT0),
inference(sr,[status(thm)],[1385,214,theory(equality)]) ).
cnf(1394,plain,
( slbdtrb0(sz00) = slcrc0
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(spm,[status(thm)],[1386,1236,theory(equality)]) ).
cnf(1395,plain,
( slbdtrb0(sz00) = slcrc0
| $false ),
inference(rw,[status(thm)],[1394,189,theory(equality)]) ).
cnf(1396,plain,
slbdtrb0(sz00) = slcrc0,
inference(cn,[status(thm)],[1395,theory(equality)]) ).
cnf(1397,plain,
$false,
inference(sr,[status(thm)],[1396,214,theory(equality)]) ).
cnf(1398,plain,
$false,
1397,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM540+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n094.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 08:01:45 CST 2018
% 0.02/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 0.06/0.38 -running prover on /export/starexec/sandbox/tmp/tmp3jwFPQ/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.38 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmp3jwFPQ/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/sandbox/benchmark/theBenchmark.p
% 0.06/0.38 % SZS status Ended for /export/starexec/sandbox/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
% 0.06/0.38 # SZS output end CNFRefutation
%------------------------------------------------------------------------------