TSTP Solution File: NUM561+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM561+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n049.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 15:21:48 EST 2018
% Result : Theorem 0.61s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 14 unt; 0 def)
% Number of atoms : 172 ( 3 equ)
% Maximal formula atoms : 39 ( 5 avg)
% Number of connectives : 236 ( 98 ~; 100 |; 32 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-4 aty)
% Number of variables : 61 ( 0 sgn 40 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/tmp/tmpRT4WMR/sel_theBenchmark.p_1',mSubRefl) ).
fof(13,axiom,
aFunction0(xF),
file('/export/starexec/sandbox/tmp/tmpRT4WMR/sel_theBenchmark.p_1',m__2911) ).
fof(28,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( equal(X3,sdtlcdtrc0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5] :
( aElementOf0(X5,X2)
& equal(sdtlpdtrp0(X1,X5),X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpRT4WMR/sel_theBenchmark.p_1',mDefSImg) ).
fof(30,axiom,
aElementOf0(xx,szDzozmdt0(xF)),
file('/export/starexec/sandbox/tmp/tmpRT4WMR/sel_theBenchmark.p_1',m__2911_02) ).
fof(49,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/tmp/tmpRT4WMR/sel_theBenchmark.p_1',mDomSet) ).
fof(68,conjecture,
aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
file('/export/starexec/sandbox/tmp/tmpRT4WMR/sel_theBenchmark.p_1',m__) ).
fof(72,negated_conjecture,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(assume_negation,[status(cth)],[68]) ).
fof(78,negated_conjecture,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(fof_simplification,[status(thm)],[72,theory(equality)]) ).
fof(79,plain,
! [X1] :
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(80,plain,
! [X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,X2) ),
inference(variable_rename,[status(thm)],[79]) ).
cnf(81,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(134,plain,
aFunction0(xF),
inference(split_conjunct,[status(thm)],[13]) ).
fof(208,plain,
! [X1] :
( ~ aFunction0(X1)
| ! [X2] :
( ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ! [X3] :
( ( ~ equal(X3,sdtlcdtrc0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ? [X5] :
( aElementOf0(X5,X2)
& equal(sdtlpdtrp0(X1,X5),X4) ) )
& ( ! [X5] :
( ~ aElementOf0(X5,X2)
| ~ equal(sdtlpdtrp0(X1,X5),X4) )
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ! [X5] :
( ~ aElementOf0(X5,X2)
| ~ equal(sdtlpdtrp0(X1,X5),X4) ) )
& ( aElementOf0(X4,X3)
| ? [X5] :
( aElementOf0(X5,X2)
& equal(sdtlpdtrp0(X1,X5),X4) ) ) )
| equal(X3,sdtlcdtrc0(X1,X2)) ) ) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(209,plain,
! [X6] :
( ~ aFunction0(X6)
| ! [X7] :
( ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ! [X8] :
( ( ~ equal(X8,sdtlcdtrc0(X6,X7))
| ( aSet0(X8)
& ! [X9] :
( ( ~ aElementOf0(X9,X8)
| ? [X10] :
( aElementOf0(X10,X7)
& equal(sdtlpdtrp0(X6,X10),X9) ) )
& ( ! [X11] :
( ~ aElementOf0(X11,X7)
| ~ equal(sdtlpdtrp0(X6,X11),X9) )
| aElementOf0(X9,X8) ) ) ) )
& ( ~ aSet0(X8)
| ? [X12] :
( ( ~ aElementOf0(X12,X8)
| ! [X13] :
( ~ aElementOf0(X13,X7)
| ~ equal(sdtlpdtrp0(X6,X13),X12) ) )
& ( aElementOf0(X12,X8)
| ? [X14] :
( aElementOf0(X14,X7)
& equal(sdtlpdtrp0(X6,X14),X12) ) ) )
| equal(X8,sdtlcdtrc0(X6,X7)) ) ) ) ),
inference(variable_rename,[status(thm)],[208]) ).
fof(210,plain,
! [X6] :
( ~ aFunction0(X6)
| ! [X7] :
( ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ! [X8] :
( ( ~ equal(X8,sdtlcdtrc0(X6,X7))
| ( aSet0(X8)
& ! [X9] :
( ( ~ aElementOf0(X9,X8)
| ( aElementOf0(esk8_4(X6,X7,X8,X9),X7)
& equal(sdtlpdtrp0(X6,esk8_4(X6,X7,X8,X9)),X9) ) )
& ( ! [X11] :
( ~ aElementOf0(X11,X7)
| ~ equal(sdtlpdtrp0(X6,X11),X9) )
| aElementOf0(X9,X8) ) ) ) )
& ( ~ aSet0(X8)
| ( ( ~ aElementOf0(esk9_3(X6,X7,X8),X8)
| ! [X13] :
( ~ aElementOf0(X13,X7)
| ~ equal(sdtlpdtrp0(X6,X13),esk9_3(X6,X7,X8)) ) )
& ( aElementOf0(esk9_3(X6,X7,X8),X8)
| ( aElementOf0(esk10_3(X6,X7,X8),X7)
& equal(sdtlpdtrp0(X6,esk10_3(X6,X7,X8)),esk9_3(X6,X7,X8)) ) ) )
| equal(X8,sdtlcdtrc0(X6,X7)) ) ) ) ),
inference(skolemize,[status(esa)],[209]) ).
fof(211,plain,
! [X6,X7,X8,X9,X11,X13] :
( ( ( ( ( ~ aElementOf0(X13,X7)
| ~ equal(sdtlpdtrp0(X6,X13),esk9_3(X6,X7,X8))
| ~ aElementOf0(esk9_3(X6,X7,X8),X8) )
& ( aElementOf0(esk9_3(X6,X7,X8),X8)
| ( aElementOf0(esk10_3(X6,X7,X8),X7)
& equal(sdtlpdtrp0(X6,esk10_3(X6,X7,X8)),esk9_3(X6,X7,X8)) ) ) )
| ~ aSet0(X8)
| equal(X8,sdtlcdtrc0(X6,X7)) )
& ( ( ( ~ aElementOf0(X11,X7)
| ~ equal(sdtlpdtrp0(X6,X11),X9)
| aElementOf0(X9,X8) )
& ( ~ aElementOf0(X9,X8)
| ( aElementOf0(esk8_4(X6,X7,X8,X9),X7)
& equal(sdtlpdtrp0(X6,esk8_4(X6,X7,X8,X9)),X9) ) )
& aSet0(X8) )
| ~ equal(X8,sdtlcdtrc0(X6,X7)) ) )
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) ),
inference(shift_quantors,[status(thm)],[210]) ).
fof(212,plain,
! [X6,X7,X8,X9,X11,X13] :
( ( ~ aElementOf0(X13,X7)
| ~ equal(sdtlpdtrp0(X6,X13),esk9_3(X6,X7,X8))
| ~ aElementOf0(esk9_3(X6,X7,X8),X8)
| ~ aSet0(X8)
| equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( aElementOf0(esk10_3(X6,X7,X8),X7)
| aElementOf0(esk9_3(X6,X7,X8),X8)
| ~ aSet0(X8)
| equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( equal(sdtlpdtrp0(X6,esk10_3(X6,X7,X8)),esk9_3(X6,X7,X8))
| aElementOf0(esk9_3(X6,X7,X8),X8)
| ~ aSet0(X8)
| equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( ~ aElementOf0(X11,X7)
| ~ equal(sdtlpdtrp0(X6,X11),X9)
| aElementOf0(X9,X8)
| ~ equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( aElementOf0(esk8_4(X6,X7,X8,X9),X7)
| ~ aElementOf0(X9,X8)
| ~ equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( equal(sdtlpdtrp0(X6,esk8_4(X6,X7,X8,X9)),X9)
| ~ aElementOf0(X9,X8)
| ~ equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( aSet0(X8)
| ~ equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) ) ),
inference(distribute,[status(thm)],[211]) ).
cnf(216,plain,
( aElementOf0(X4,X3)
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| X3 != sdtlcdtrc0(X1,X2)
| sdtlpdtrp0(X1,X5) != X4
| ~ aElementOf0(X5,X2) ),
inference(split_conjunct,[status(thm)],[212]) ).
cnf(224,plain,
aElementOf0(xx,szDzozmdt0(xF)),
inference(split_conjunct,[status(thm)],[30]) ).
fof(308,plain,
! [X1] :
( ~ aFunction0(X1)
| aSet0(szDzozmdt0(X1)) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(309,plain,
! [X2] :
( ~ aFunction0(X2)
| aSet0(szDzozmdt0(X2)) ),
inference(variable_rename,[status(thm)],[308]) ).
cnf(310,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[309]) ).
cnf(389,negated_conjecture,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(711,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),X3)
| sdtlcdtrc0(X1,X4) != X3
| ~ aFunction0(X1)
| ~ aElementOf0(X2,X4)
| ~ aSubsetOf0(X4,szDzozmdt0(X1)) ),
inference(er,[status(thm)],[216,theory(equality)]) ).
cnf(10983,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,X3))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X1)) ),
inference(er,[status(thm)],[711,theory(equality)]) ).
cnf(15718,negated_conjecture,
( ~ aFunction0(xF)
| ~ aElementOf0(xx,szDzozmdt0(xF))
| ~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF)) ),
inference(spm,[status(thm)],[389,10983,theory(equality)]) ).
cnf(15743,negated_conjecture,
( $false
| ~ aElementOf0(xx,szDzozmdt0(xF))
| ~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF)) ),
inference(rw,[status(thm)],[15718,134,theory(equality)]) ).
cnf(15744,negated_conjecture,
( $false
| $false
| ~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF)) ),
inference(rw,[status(thm)],[15743,224,theory(equality)]) ).
cnf(15745,negated_conjecture,
~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF)),
inference(cn,[status(thm)],[15744,theory(equality)]) ).
cnf(15774,negated_conjecture,
~ aSet0(szDzozmdt0(xF)),
inference(spm,[status(thm)],[15745,81,theory(equality)]) ).
cnf(15780,negated_conjecture,
~ aFunction0(xF),
inference(spm,[status(thm)],[15774,310,theory(equality)]) ).
cnf(15781,negated_conjecture,
$false,
inference(rw,[status(thm)],[15780,134,theory(equality)]) ).
cnf(15782,negated_conjecture,
$false,
inference(cn,[status(thm)],[15781,theory(equality)]) ).
cnf(15783,negated_conjecture,
$false,
15782,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM561+1 : 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 : n049.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 08:54:00 CST 2018
% 0.02/0.23 % CPUTime :
% 0.07/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.27 --creating new selector for []
% 0.61/0.91 -running prover on /export/starexec/sandbox/tmp/tmpRT4WMR/sel_theBenchmark.p_1 with time limit 29
% 0.61/0.91 -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/tmpRT4WMR/sel_theBenchmark.p_1']
% 0.61/0.91 -prover status Theorem
% 0.61/0.91 Problem theBenchmark.p solved in phase 0.
% 0.61/0.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.91 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.91 Solved 1 out of 1.
% 0.61/0.91 # Problem is unsatisfiable (or provable), constructing proof object
% 0.61/0.91 # SZS status Theorem
% 0.61/0.91 # SZS output start CNFRefutation.
% See solution above
% 0.74/0.91 # SZS output end CNFRefutation
%------------------------------------------------------------------------------