TSTP Solution File: NUM547+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM547+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n041.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 15:21:44 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 187 ( 4 equ)
% Maximal formula atoms : 39 ( 5 avg)
% Number of connectives : 257 ( 103 ~; 103 |; 47 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 51 ( 1 sgn 37 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(9,axiom,
( aSet0(xS)
& aSet0(xT)
& ~ equal(xk,sz00) ),
file('/export/starexec/sandbox2/tmp/tmpTLPE4z/sel_theBenchmark.p_1',m__2202_02) ).
fof(31,axiom,
! [X1] :
( equal(X1,slcrc0)
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpTLPE4z/sel_theBenchmark.p_1',mDefEmp) ).
fof(42,conjecture,
? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/tmp/tmpTLPE4z/sel_theBenchmark.p_1',m__) ).
fof(47,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( equal(X3,slbdtsldtrb0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpTLPE4z/sel_theBenchmark.p_1',mDefSel) ).
fof(52,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpTLPE4z/sel_theBenchmark.p_1',m__2202) ).
fof(65,axiom,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
file('/export/starexec/sandbox2/tmp/tmpTLPE4z/sel_theBenchmark.p_1',m__2227) ).
fof(66,negated_conjecture,
~ ? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(assume_negation,[status(cth)],[42]) ).
cnf(111,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[9]) ).
fof(203,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)],[31]) ).
fof(204,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)],[203]) ).
fof(205,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)],[204]) ).
fof(206,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)],[205]) ).
fof(207,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)],[206]) ).
cnf(208,plain,
( X1 = slcrc0
| aElementOf0(esk6_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[207]) ).
fof(260,negated_conjecture,
! [X1] : ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(fof_nnf,[status(thm)],[66]) ).
fof(261,negated_conjecture,
! [X2] : ~ aElementOf0(X2,slbdtsldtrb0(xS,xk)),
inference(variable_rename,[status(thm)],[260]) ).
cnf(262,negated_conjecture,
~ aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[261]) ).
fof(275,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ! [X3] :
( ( ~ equal(X3,slbdtsldtrb0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) )
& ( ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2)
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2) )
& ( aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) )
| equal(X3,slbdtsldtrb0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(276,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aSubsetOf0(X9,X5)
| ~ equal(sbrdtbr0(X9),X6) )
& ( aElementOf0(X9,X7)
| ( aSubsetOf0(X9,X5)
& equal(sbrdtbr0(X9),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[275]) ).
fof(277,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk10_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[276]) ).
fof(278,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,slbdtsldtrb0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk10_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[277]) ).
fof(279,plain,
! [X5,X6,X7,X8] :
( ( aSubsetOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(X8),X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSet0(X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
| aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6)
| aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ) ),
inference(distribute,[status(thm)],[278]) ).
cnf(283,plain,
( aSet0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1) ),
inference(split_conjunct,[status(thm)],[279]) ).
cnf(300,plain,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(351,plain,
slbdtsldtrb0(xS,xk) != slcrc0,
inference(split_conjunct,[status(thm)],[65]) ).
cnf(405,negated_conjecture,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(spm,[status(thm)],[262,208,theory(equality)]) ).
cnf(408,negated_conjecture,
~ aSet0(slbdtsldtrb0(xS,xk)),
inference(sr,[status(thm)],[405,351,theory(equality)]) ).
cnf(426,plain,
( aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[283,theory(equality)]) ).
cnf(839,negated_conjecture,
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[408,426,theory(equality)]) ).
cnf(841,negated_conjecture,
( $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[839,300,theory(equality)]) ).
cnf(842,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[841,111,theory(equality)]) ).
cnf(843,negated_conjecture,
$false,
inference(cn,[status(thm)],[842,theory(equality)]) ).
cnf(844,negated_conjecture,
$false,
843,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM547+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 : n041.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 09:56:30 CST 2018
% 0.03/0.24 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.07/0.37 -running prover on /export/starexec/sandbox2/tmp/tmpTLPE4z/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.37 -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/tmpTLPE4z/sel_theBenchmark.p_1']
% 0.07/0.37 -prover status Theorem
% 0.07/0.37 Problem theBenchmark.p solved in phase 0.
% 0.07/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.37 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.37 Solved 1 out of 1.
% 0.07/0.37 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.37 # SZS status Theorem
% 0.07/0.37 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.37 # SZS output end CNFRefutation
%------------------------------------------------------------------------------