TSTP Solution File: NUM547+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM547+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n037.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 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 325 ( 0 equ)
% Maximal formula atoms : 67 ( 20 avg)
% Number of connectives : 454 ( 145 ~; 123 |; 170 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 1 sgn 51 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(42,conjecture,
? [X1] :
( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& equal(sbrdtbr0(X1),xk) )
| aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/tmp/tmp9yIAie/sel_theBenchmark.p_1',m__) ).
fof(65,axiom,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& equal(sbrdtbr0(X1),xk) )
=> aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xT) )
& aSubsetOf0(X1,xT)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xT) ) )
| aSubsetOf0(X1,xT) )
& equal(sbrdtbr0(X1),xk) )
=> aElementOf0(X1,slbdtsldtrb0(xT,xk)) ) )
& ! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> aElementOf0(X1,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& equal(sbrdtbr0(X1),xk) )
=> aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk))
| equal(slbdtsldtrb0(xS,xk),slcrc0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp9yIAie/sel_theBenchmark.p_1',m__2227) ).
fof(66,negated_conjecture,
~ ? [X1] :
( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& equal(sbrdtbr0(X1),xk) )
| aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(assume_negation,[status(cth)],[42]) ).
fof(260,negated_conjecture,
! [X1] :
( ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) )
| ~ equal(sbrdtbr0(X1),xk) )
& ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(fof_nnf,[status(thm)],[66]) ).
fof(261,negated_conjecture,
! [X3] :
( ( ( ( ~ aSet0(X3)
| ? [X4] :
( aElementOf0(X4,X3)
& ~ aElementOf0(X4,xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xk) )
& ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) ),
inference(variable_rename,[status(thm)],[260]) ).
fof(262,negated_conjecture,
! [X3] :
( ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk10_1(X3),X3)
& ~ aElementOf0(esk10_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xk) )
& ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) ),
inference(skolemize,[status(esa)],[261]) ).
fof(263,negated_conjecture,
! [X3] :
( ( aElementOf0(esk10_1(X3),X3)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xk) )
& ( ~ aElementOf0(esk10_1(X3),xS)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xk) )
& ( ~ aSubsetOf0(X3,xS)
| ~ equal(sbrdtbr0(X3),xk) )
& ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) ),
inference(distribute,[status(thm)],[262]) ).
cnf(264,negated_conjecture,
~ aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[263]) ).
fof(356,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) )
| ~ equal(sbrdtbr0(X1),xk)
| aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xT) )
& aSubsetOf0(X1,xT)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xT) ) )
& ~ aSubsetOf0(X1,xT) )
| ~ equal(sbrdtbr0(X1),xk)
| aElementOf0(X1,slbdtsldtrb0(xT,xk)) ) )
& ! [X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aElementOf0(X1,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) )
| ~ equal(sbrdtbr0(X1),xk)
| aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& ? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(357,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xS,xk))
| ( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xk) ) )
& ( ( ( ~ aSet0(X3)
| ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(xT,xk))
| ( aSet0(X6)
& ! [X7] :
( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT) )
& aSubsetOf0(X6,xT)
& equal(sbrdtbr0(X6),xk) ) )
& ( ( ( ~ aSet0(X6)
| ? [X8] :
( aElementOf0(X8,X6)
& ~ aElementOf0(X8,xT) ) )
& ~ aSubsetOf0(X6,xT) )
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) ) )
& ! [X9] :
( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X10] :
( ( ~ aElementOf0(X10,slbdtsldtrb0(xS,xk))
| ( aSet0(X10)
& ! [X11] :
( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS) )
& aSubsetOf0(X10,xS)
& equal(sbrdtbr0(X10),xk) ) )
& ( ( ( ~ aSet0(X10)
| ? [X12] :
( aElementOf0(X12,X10)
& ~ aElementOf0(X12,xS) ) )
& ~ aSubsetOf0(X10,xS) )
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) )
& ? [X13] : aElementOf0(X13,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
inference(variable_rename,[status(thm)],[356]) ).
fof(358,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xS,xk))
| ( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xk) ) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk13_1(X3),X3)
& ~ aElementOf0(esk13_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(xT,xk))
| ( aSet0(X6)
& ! [X7] :
( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT) )
& aSubsetOf0(X6,xT)
& equal(sbrdtbr0(X6),xk) ) )
& ( ( ( ~ aSet0(X6)
| ( aElementOf0(esk14_1(X6),X6)
& ~ aElementOf0(esk14_1(X6),xT) ) )
& ~ aSubsetOf0(X6,xT) )
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) ) )
& ! [X9] :
( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X10] :
( ( ~ aElementOf0(X10,slbdtsldtrb0(xS,xk))
| ( aSet0(X10)
& ! [X11] :
( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS) )
& aSubsetOf0(X10,xS)
& equal(sbrdtbr0(X10),xk) ) )
& ( ( ( ~ aSet0(X10)
| ( aElementOf0(esk15_1(X10),X10)
& ~ aElementOf0(esk15_1(X10),xS) ) )
& ~ aSubsetOf0(X10,xS) )
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) )
& aElementOf0(esk16_0,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
inference(skolemize,[status(esa)],[357]) ).
fof(359,plain,
! [X3,X4,X6,X7,X9,X10,X11] :
( ( ( ( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS) )
& aSet0(X10)
& aSubsetOf0(X10,xS)
& equal(sbrdtbr0(X10),xk) )
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ( ( ~ aSet0(X10)
| ( aElementOf0(esk15_1(X10),X10)
& ~ aElementOf0(esk15_1(X10),xS) ) )
& ~ aSubsetOf0(X10,xS) )
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& aElementOf0(esk16_0,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0)
& ( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& ( ( ( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT) )
& aSet0(X6)
& aSubsetOf0(X6,xT)
& equal(sbrdtbr0(X6),xk) )
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ( ( ~ aSet0(X6)
| ( aElementOf0(esk14_1(X6),X6)
& ~ aElementOf0(esk14_1(X6),xT) ) )
& ~ aSubsetOf0(X6,xT) )
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ( ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSet0(X3)
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xk) )
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk13_1(X3),X3)
& ~ aElementOf0(esk13_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& aSet0(slbdtsldtrb0(xS,xk))
& aSet0(slbdtsldtrb0(xT,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
inference(shift_quantors,[status(thm)],[358]) ).
fof(360,plain,
! [X3,X4,X6,X7,X9,X10,X11] :
( ( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( aSet0(X10)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X10,xS)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( equal(sbrdtbr0(X10),xk)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk15_1(X10),X10)
| ~ aSet0(X10)
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk15_1(X10),xS)
| ~ aSet0(X10)
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X10,xS)
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& aElementOf0(esk16_0,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0)
& ( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( aSet0(X6)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( aSubsetOf0(X6,xT)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( equal(sbrdtbr0(X6),xk)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(esk14_1(X6),X6)
| ~ aSet0(X6)
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(esk14_1(X6),xT)
| ~ aSet0(X6)
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aSubsetOf0(X6,xT)
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( aSet0(X3)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X3,xS)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( equal(sbrdtbr0(X3),xk)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk13_1(X3),X3)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk13_1(X3),xS)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X3,xS)
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& aSet0(slbdtsldtrb0(xS,xk))
& aSet0(slbdtsldtrb0(xT,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
inference(distribute,[status(thm)],[359]) ).
cnf(380,plain,
aElementOf0(esk16_0,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[360]) ).
cnf(388,plain,
$false,
inference(sr,[status(thm)],[380,264,theory(equality)]) ).
cnf(389,plain,
$false,
388,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM547+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n037.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 08:23:15 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 0.06/0.35 -running prover on /export/starexec/sandbox2/tmp/tmp9yIAie/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.35 -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/tmp9yIAie/sel_theBenchmark.p_1']
% 0.06/0.35 -prover status Theorem
% 0.06/0.35 Problem theBenchmark.p solved in phase 0.
% 0.06/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.35 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.35 Solved 1 out of 1.
% 0.06/0.35 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.35 # SZS status Theorem
% 0.06/0.35 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.36 # SZS output end CNFRefutation
%------------------------------------------------------------------------------