TSTP Solution File: NUM615+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM615+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n136.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 15:22:00 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 10 unt; 0 def)
% Number of atoms : 201 ( 15 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 250 ( 96 ~; 100 |; 47 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 70 ( 1 sgn 43 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,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/tmpFygraF/sel_theBenchmark.p_1',mDefMin) ).
fof(7,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpFygraF/sel_theBenchmark.p_1',mDefSub) ).
fof(11,axiom,
( aSet0(xO)
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
file('/export/starexec/sandbox2/tmp/tmpFygraF/sel_theBenchmark.p_1',m__4891) ).
fof(14,axiom,
( aSubsetOf0(xQ,xO)
& ~ equal(xQ,slcrc0) ),
file('/export/starexec/sandbox2/tmp/tmpFygraF/sel_theBenchmark.p_1',m__5093) ).
fof(19,conjecture,
? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X1),xp) ),
file('/export/starexec/sandbox2/tmp/tmpFygraF/sel_theBenchmark.p_1',m__) ).
fof(26,axiom,
equal(xp,szmzizndt0(xQ)),
file('/export/starexec/sandbox2/tmp/tmpFygraF/sel_theBenchmark.p_1',m__5147) ).
fof(58,axiom,
! [X1] :
( aElementOf0(X1,xO)
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpFygraF/sel_theBenchmark.p_1',m__4982) ).
fof(65,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpFygraF/sel_theBenchmark.p_1',m__5106) ).
fof(112,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X1),xp) ),
inference(assume_negation,[status(cth)],[19]) ).
fof(133,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)],[4]) ).
fof(134,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)],[133]) ).
fof(135,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(esk1_2(X4,X5),X4)
& ~ sdtlseqdt0(X5,esk1_2(X4,X5)) )
| equal(X5,szmzizndt0(X4)) ) ) ),
inference(skolemize,[status(esa)],[134]) ).
fof(136,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6) )
& aElementOf0(X5,X4) )
| ~ equal(X5,szmzizndt0(X4)) )
& ( ~ aElementOf0(X5,X4)
| ( aElementOf0(esk1_2(X4,X5),X4)
& ~ sdtlseqdt0(X5,esk1_2(X4,X5)) )
| equal(X5,szmzizndt0(X4)) ) )
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) ),
inference(shift_quantors,[status(thm)],[135]) ).
fof(137,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(esk1_2(X4,X5),X4)
| ~ aElementOf0(X5,X4)
| equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) )
& ( ~ sdtlseqdt0(X5,esk1_2(X4,X5))
| ~ aElementOf0(X5,X4)
| equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) ) ),
inference(distribute,[status(thm)],[136]) ).
cnf(140,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1) ),
inference(split_conjunct,[status(thm)],[137]) ).
fof(151,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)],[7]) ).
fof(152,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)],[151]) ).
fof(153,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk2_2(X4,X5),X5)
& ~ aElementOf0(esk2_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[152]) ).
fof(154,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk2_2(X4,X5),X5)
& ~ aElementOf0(esk2_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[153]) ).
fof(155,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk2_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk2_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[154]) ).
cnf(159,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[155]) ).
cnf(177,plain,
aSet0(xO),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(193,plain,
xQ != slcrc0,
inference(split_conjunct,[status(thm)],[14]) ).
cnf(194,plain,
aSubsetOf0(xQ,xO),
inference(split_conjunct,[status(thm)],[14]) ).
fof(209,negated_conjecture,
! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,X1),xp) ),
inference(fof_nnf,[status(thm)],[112]) ).
fof(210,negated_conjecture,
! [X2] :
( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,X2),xp) ),
inference(variable_rename,[status(thm)],[209]) ).
cnf(211,negated_conjecture,
( sdtlpdtrp0(xe,X1) != xp
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(split_conjunct,[status(thm)],[210]) ).
cnf(242,plain,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(388,plain,
! [X1] :
( ~ aElementOf0(X1,xO)
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X2),X1) ) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(389,plain,
! [X3] :
( ~ aElementOf0(X3,xO)
| ? [X4] :
( aElementOf0(X4,szNzAzT0)
& aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X4),X3) ) ),
inference(variable_rename,[status(thm)],[388]) ).
fof(390,plain,
! [X3] :
( ~ aElementOf0(X3,xO)
| ( aElementOf0(esk18_1(X3),szNzAzT0)
& aElementOf0(esk18_1(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,esk18_1(X3)),X3) ) ),
inference(skolemize,[status(esa)],[389]) ).
fof(391,plain,
! [X3] :
( ( aElementOf0(esk18_1(X3),szNzAzT0)
| ~ aElementOf0(X3,xO) )
& ( aElementOf0(esk18_1(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X3,xO) )
& ( equal(sdtlpdtrp0(xe,esk18_1(X3)),X3)
| ~ aElementOf0(X3,xO) ) ),
inference(distribute,[status(thm)],[390]) ).
cnf(392,plain,
( sdtlpdtrp0(xe,esk18_1(X1)) = X1
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[391]) ).
cnf(393,plain,
( aElementOf0(esk18_1(X1),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[391]) ).
cnf(425,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(719,plain,
( sdtlpdtrp0(xe,esk18_1(X1)) != xp
| ~ aElementOf0(X1,xO) ),
inference(spm,[status(thm)],[211,393,theory(equality)]) ).
cnf(849,plain,
( aElementOf0(X1,xO)
| ~ aSet0(xO)
| ~ aElementOf0(X1,xQ) ),
inference(spm,[status(thm)],[159,194,theory(equality)]) ).
cnf(859,plain,
( aElementOf0(X1,xO)
| $false
| ~ aElementOf0(X1,xQ) ),
inference(rw,[status(thm)],[849,177,theory(equality)]) ).
cnf(860,plain,
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ),
inference(cn,[status(thm)],[859,theory(equality)]) ).
cnf(883,plain,
( slcrc0 = xQ
| aElementOf0(X1,xQ)
| szmzizndt0(xQ) != X1 ),
inference(spm,[status(thm)],[140,425,theory(equality)]) ).
cnf(887,plain,
( slcrc0 = xQ
| aElementOf0(X1,xQ)
| xp != X1 ),
inference(rw,[status(thm)],[883,242,theory(equality)]) ).
cnf(888,plain,
( aElementOf0(X1,xQ)
| xp != X1 ),
inference(sr,[status(thm)],[887,193,theory(equality)]) ).
cnf(2237,plain,
( aElementOf0(X1,xO)
| xp != X1 ),
inference(spm,[status(thm)],[860,888,theory(equality)]) ).
cnf(2633,plain,
( X1 != xp
| ~ aElementOf0(X1,xO) ),
inference(spm,[status(thm)],[719,392,theory(equality)]) ).
cnf(2702,plain,
X1 != xp,
inference(csr,[status(thm)],[2633,2237]) ).
cnf(2704,plain,
$false,
inference(sr,[status(thm)],[242,2702,theory(equality)]) ).
cnf(2705,plain,
$false,
2704,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM615+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 : n136.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 10:42:30 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 0.07/0.49 -running prover on /export/starexec/sandbox2/tmp/tmpFygraF/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.49 -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/tmpFygraF/sel_theBenchmark.p_1']
% 0.07/0.49 -prover status Theorem
% 0.07/0.49 Problem theBenchmark.p solved in phase 0.
% 0.07/0.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.49 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.49 Solved 1 out of 1.
% 0.07/0.49 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.49 # SZS status Theorem
% 0.07/0.49 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.49 # SZS output end CNFRefutation
%------------------------------------------------------------------------------