TSTP Solution File: NUM621+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM621+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n105.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 15:22:01 EST 2018
% Result : Theorem 17.76s
% Output : CNFRefutation 17.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 56 ( 17 unt; 0 def)
% Number of atoms : 169 ( 10 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 164 ( 51 ~; 47 |; 55 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(13,axiom,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& equal(sdtlpdtrp0(xe,X1),szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) ),
file('/export/starexec/sandbox/tmp/tmpFRUNNq/sel_theBenchmark.p_1',m__4660) ).
fof(19,conjecture,
( ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> aElementOf0(X1,sdtlpdtrp0(xN,xm)) )
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/tmp/tmpFRUNNq/sel_theBenchmark.p_1',m__) ).
fof(23,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmpFRUNNq/sel_theBenchmark.p_1',mLessASymm) ).
fof(26,axiom,
( aElementOf0(xp,xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(xp,X1) )
& equal(xp,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/tmp/tmpFRUNNq/sel_theBenchmark.p_1',m__5147) ).
fof(66,axiom,
( ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmpFRUNNq/sel_theBenchmark.p_1',m__5106) ).
fof(85,axiom,
( aElementOf0(xn,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,xn),szDzizrdt0(xd))
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& equal(sdtlpdtrp0(xe,xn),xp) ),
file('/export/starexec/sandbox/tmp/tmpFRUNNq/sel_theBenchmark.p_1',m__5309) ).
fof(93,axiom,
( aElement0(xx)
& aElementOf0(xx,xQ)
& ~ equal(xx,szmzizndt0(xQ))
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox/tmp/tmpFRUNNq/sel_theBenchmark.p_1',m__5348) ).
fof(103,axiom,
( aElementOf0(xx,szNzAzT0)
& ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X1),xx) ) ),
file('/export/starexec/sandbox/tmp/tmpFRUNNq/sel_theBenchmark.p_1',m__5365) ).
fof(113,axiom,
! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,X1) ),
file('/export/starexec/sandbox/tmp/tmpFRUNNq/sel_theBenchmark.p_1',m__5401) ).
fof(119,negated_conjecture,
~ ( ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> aElementOf0(X1,sdtlpdtrp0(xN,xm)) )
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(assume_negation,[status(cth)],[19]) ).
fof(215,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& equal(sdtlpdtrp0(xe,X1),szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(216,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(sdtlpdtrp0(xe,X3),X4) )
& equal(sdtlpdtrp0(xe,X3),szmzizndt0(sdtlpdtrp0(xN,X3))) ) ) ),
inference(variable_rename,[status(thm)],[215]) ).
fof(217,plain,
! [X3,X4] :
( ( ( ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(sdtlpdtrp0(xe,X3),X4) )
& aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
& equal(sdtlpdtrp0(xe,X3),szmzizndt0(sdtlpdtrp0(xN,X3))) )
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[216]) ).
fof(218,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(sdtlpdtrp0(xe,X3),X4)
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( equal(sdtlpdtrp0(xe,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0) ),
inference(distribute,[status(thm)],[217]) ).
cnf(222,plain,
( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[218]) ).
fof(245,negated_conjecture,
( ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xn))
| aElementOf0(X1,sdtlpdtrp0(xN,xm)) )
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
& ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(fof_nnf,[status(thm)],[119]) ).
fof(246,negated_conjecture,
( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xn))
| aElementOf0(X2,sdtlpdtrp0(xN,xm)) )
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
& ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(variable_rename,[status(thm)],[245]) ).
fof(247,negated_conjecture,
! [X2] :
( ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xn))
| aElementOf0(X2,sdtlpdtrp0(xN,xm)) )
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
& ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(shift_quantors,[status(thm)],[246]) ).
cnf(250,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) ),
inference(split_conjunct,[status(thm)],[247]) ).
fof(270,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(271,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[270]) ).
cnf(272,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[271]) ).
fof(296,plain,
( aElementOf0(xp,xQ)
& ! [X1] :
( ~ aElementOf0(X1,xQ)
| sdtlseqdt0(xp,X1) )
& equal(xp,szmzizndt0(xQ)) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(297,plain,
( aElementOf0(xp,xQ)
& ! [X2] :
( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(xp,X2) )
& equal(xp,szmzizndt0(xQ)) ),
inference(variable_rename,[status(thm)],[296]) ).
fof(298,plain,
! [X2] :
( ( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(xp,X2) )
& aElementOf0(xp,xQ)
& equal(xp,szmzizndt0(xQ)) ),
inference(shift_quantors,[status(thm)],[297]) ).
cnf(299,plain,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[298]) ).
cnf(300,plain,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[298]) ).
cnf(301,plain,
( sdtlseqdt0(xp,X1)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[298]) ).
fof(512,plain,
( ! [X1] :
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[66]) ).
fof(513,plain,
( ! [X2] :
( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
inference(variable_rename,[status(thm)],[512]) ).
fof(514,plain,
! [X2] :
( ( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[513]) ).
cnf(516,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[514]) ).
cnf(624,plain,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[85]) ).
cnf(625,plain,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[85]) ).
cnf(653,plain,
xx != szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[93]) ).
cnf(654,plain,
aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[93]) ).
fof(699,plain,
( aElementOf0(xx,szNzAzT0)
& ? [X2] :
( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X2),xx) ) ),
inference(variable_rename,[status(thm)],[103]) ).
fof(700,plain,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(esk30_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,esk30_0),xx) ),
inference(skolemize,[status(esa)],[699]) ).
cnf(703,plain,
aElementOf0(xx,szNzAzT0),
inference(split_conjunct,[status(thm)],[700]) ).
fof(4728,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X1) ),
inference(fof_nnf,[status(thm)],[113]) ).
fof(4729,plain,
! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X2) ),
inference(variable_rename,[status(thm)],[4728]) ).
cnf(4730,plain,
( sdtlseqdt0(xx,X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) ),
inference(split_conjunct,[status(thm)],[4729]) ).
cnf(5411,plain,
xp != xx,
inference(rw,[status(thm)],[653,299,theory(equality)]) ).
cnf(5421,plain,
aElementOf0(xp,szNzAzT0),
inference(spm,[status(thm)],[516,300,theory(equality)]) ).
cnf(5517,plain,
sdtlseqdt0(xp,xx),
inference(spm,[status(thm)],[301,654,theory(equality)]) ).
cnf(5649,plain,
aElementOf0(sdtlpdtrp0(xe,xn),sdtlpdtrp0(xN,xn)),
inference(spm,[status(thm)],[222,625,theory(equality)]) ).
cnf(5655,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(rw,[status(thm)],[5649,624,theory(equality)]) ).
cnf(6655,plain,
( X1 = xx
| ~ sdtlseqdt0(xx,X1)
| ~ sdtlseqdt0(X1,xx)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[272,703,theory(equality)]) ).
cnf(30150,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(spm,[status(thm)],[250,5655,theory(equality)]) ).
cnf(31041,plain,
sdtlseqdt0(xx,xp),
inference(spm,[status(thm)],[4730,30150,theory(equality)]) ).
cnf(171959,plain,
( xp = xx
| ~ sdtlseqdt0(xp,xx)
| ~ aElementOf0(xp,szNzAzT0) ),
inference(spm,[status(thm)],[6655,31041,theory(equality)]) ).
cnf(171967,plain,
( xp = xx
| $false
| ~ aElementOf0(xp,szNzAzT0) ),
inference(rw,[status(thm)],[171959,5517,theory(equality)]) ).
cnf(171968,plain,
( xp = xx
| $false
| $false ),
inference(rw,[status(thm)],[171967,5421,theory(equality)]) ).
cnf(171969,plain,
xp = xx,
inference(cn,[status(thm)],[171968,theory(equality)]) ).
cnf(171970,plain,
$false,
inference(sr,[status(thm)],[171969,5411,theory(equality)]) ).
cnf(171971,plain,
$false,
171970,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM621+3 : 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 : n105.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 10:54:15 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 17.76/18.08 -running prover on /export/starexec/sandbox/tmp/tmpFRUNNq/sel_theBenchmark.p_1 with time limit 29
% 17.76/18.08 -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/tmpFRUNNq/sel_theBenchmark.p_1']
% 17.76/18.08 -prover status Theorem
% 17.76/18.08 Problem theBenchmark.p solved in phase 0.
% 17.76/18.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.76/18.08 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.76/18.08 Solved 1 out of 1.
% 17.76/18.08 # Problem is unsatisfiable (or provable), constructing proof object
% 17.76/18.08 # SZS status Theorem
% 17.76/18.08 # SZS output start CNFRefutation.
% See solution above
% 17.76/18.09 # SZS output end CNFRefutation
%------------------------------------------------------------------------------