%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM594+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n066.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 15:21:55 EST 2018
% Result : Theorem 0.72s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 11 unt; 0 def)
% Number of atoms : 231 ( 22 equ)
% Maximal formula atoms : 39 ( 5 avg)
% Number of connectives : 332 ( 143 ~; 138 |; 44 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 87 ( 0 sgn 47 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(17,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& equal(sdtlpdtrp0(xd,X1),xx) ),
file('/export/starexec/sandbox/tmp/tmpepD8oY/sel_theBenchmark.p_1',m__) ).
fof(44,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/tmpepD8oY/sel_theBenchmark.p_1',mDefSImg) ).
fof(51,axiom,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
=> equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpepD8oY/sel_theBenchmark.p_1',m__4730) ).
fof(76,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmpepD8oY/sel_theBenchmark.p_1',mNATSet) ).
fof(81,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/tmp/tmpepD8oY/sel_theBenchmark.p_1',mSubRefl) ).
fof(88,axiom,
aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))),
file('/export/starexec/sandbox/tmp/tmpepD8oY/sel_theBenchmark.p_1',m__4781) ).
fof(96,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& equal(sdtlpdtrp0(xd,X1),xx) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(189,negated_conjecture,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ equal(sdtlpdtrp0(xd,X1),xx) ),
inference(fof_nnf,[status(thm)],[96]) ).
fof(190,negated_conjecture,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ equal(sdtlpdtrp0(xd,X2),xx) ),
inference(variable_rename,[status(thm)],[189]) ).
cnf(191,negated_conjecture,
( sdtlpdtrp0(xd,X1) != xx
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[190]) ).
fof(309,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)],[44]) ).
fof(310,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)],[309]) ).
fof(311,plain,
! [X6] :
( ~ aFunction0(X6)
| ! [X7] :
( ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ! [X8] :
( ( ~ equal(X8,sdtlcdtrc0(X6,X7))
| ( aSet0(X8)
& ! [X9] :
( ( ~ aElementOf0(X9,X8)
| ( aElementOf0(esk11_4(X6,X7,X8,X9),X7)
& equal(sdtlpdtrp0(X6,esk11_4(X6,X7,X8,X9)),X9) ) )
& ( ! [X11] :
( ~ aElementOf0(X11,X7)
| ~ equal(sdtlpdtrp0(X6,X11),X9) )
| aElementOf0(X9,X8) ) ) ) )
& ( ~ aSet0(X8)
| ( ( ~ aElementOf0(esk12_3(X6,X7,X8),X8)
| ! [X13] :
( ~ aElementOf0(X13,X7)
| ~ equal(sdtlpdtrp0(X6,X13),esk12_3(X6,X7,X8)) ) )
& ( aElementOf0(esk12_3(X6,X7,X8),X8)
| ( aElementOf0(esk13_3(X6,X7,X8),X7)
& equal(sdtlpdtrp0(X6,esk13_3(X6,X7,X8)),esk12_3(X6,X7,X8)) ) ) )
| equal(X8,sdtlcdtrc0(X6,X7)) ) ) ) ),
inference(skolemize,[status(esa)],[310]) ).
fof(312,plain,
! [X6,X7,X8,X9,X11,X13] :
( ( ( ( ( ~ aElementOf0(X13,X7)
| ~ equal(sdtlpdtrp0(X6,X13),esk12_3(X6,X7,X8))
| ~ aElementOf0(esk12_3(X6,X7,X8),X8) )
& ( aElementOf0(esk12_3(X6,X7,X8),X8)
| ( aElementOf0(esk13_3(X6,X7,X8),X7)
& equal(sdtlpdtrp0(X6,esk13_3(X6,X7,X8)),esk12_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(esk11_4(X6,X7,X8,X9),X7)
& equal(sdtlpdtrp0(X6,esk11_4(X6,X7,X8,X9)),X9) ) )
& aSet0(X8) )
| ~ equal(X8,sdtlcdtrc0(X6,X7)) ) )
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) ),
inference(shift_quantors,[status(thm)],[311]) ).
fof(313,plain,
! [X6,X7,X8,X9,X11,X13] :
( ( ~ aElementOf0(X13,X7)
| ~ equal(sdtlpdtrp0(X6,X13),esk12_3(X6,X7,X8))
| ~ aElementOf0(esk12_3(X6,X7,X8),X8)
| ~ aSet0(X8)
| equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( aElementOf0(esk13_3(X6,X7,X8),X7)
| aElementOf0(esk12_3(X6,X7,X8),X8)
| ~ aSet0(X8)
| equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( equal(sdtlpdtrp0(X6,esk13_3(X6,X7,X8)),esk12_3(X6,X7,X8))
| aElementOf0(esk12_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(esk11_4(X6,X7,X8,X9),X7)
| ~ aElementOf0(X9,X8)
| ~ equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( equal(sdtlpdtrp0(X6,esk11_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)],[312]) ).
cnf(315,plain,
( sdtlpdtrp0(X1,esk11_4(X1,X2,X3,X4)) = X4
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| X3 != sdtlcdtrc0(X1,X2)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[313]) ).
cnf(316,plain,
( aElementOf0(esk11_4(X1,X2,X3,X4),X2)
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| X3 != sdtlcdtrc0(X1,X2)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[313]) ).
fof(361,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
| equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(362,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ! [X4] :
( ~ aSet0(X4)
| ~ aElementOf0(X4,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),xk))
| equal(sdtlpdtrp0(xd,X3),sdtlpdtrp0(sdtlpdtrp0(xC,X3),X4)) ) ) ),
inference(variable_rename,[status(thm)],[361]) ).
fof(363,plain,
! [X3,X4] :
( ( ~ aSet0(X4)
| ~ aElementOf0(X4,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),xk))
| equal(sdtlpdtrp0(xd,X3),sdtlpdtrp0(sdtlpdtrp0(xC,X3),X4))
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[362]) ).
cnf(364,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[363]) ).
cnf(365,plain,
aFunction0(xd),
inference(split_conjunct,[status(thm)],[363]) ).
cnf(467,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[76]) ).
fof(480,plain,
! [X1] :
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(fof_nnf,[status(thm)],[81]) ).
fof(481,plain,
! [X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,X2) ),
inference(variable_rename,[status(thm)],[480]) ).
cnf(482,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[481]) ).
cnf(512,plain,
aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(571,plain,
aElementOf0(xx,sdtlcdtrc0(xd,szNzAzT0)),
inference(rw,[status(thm)],[512,364,theory(equality)]) ).
cnf(1254,negated_conjecture,
( X3 != xx
| ~ aElementOf0(esk11_4(xd,X1,X2,X3),szNzAzT0)
| sdtlcdtrc0(xd,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(xd))
| ~ aFunction0(xd)
| ~ aElementOf0(X3,X2) ),
inference(spm,[status(thm)],[191,315,theory(equality)]) ).
cnf(1269,negated_conjecture,
( X3 != xx
| ~ aElementOf0(esk11_4(xd,X1,X2,X3),szNzAzT0)
| sdtlcdtrc0(xd,X1) != X2
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aFunction0(xd)
| ~ aElementOf0(X3,X2) ),
inference(rw,[status(thm)],[1254,364,theory(equality)]) ).
cnf(1270,negated_conjecture,
( X3 != xx
| ~ aElementOf0(esk11_4(xd,X1,X2,X3),szNzAzT0)
| sdtlcdtrc0(xd,X1) != X2
| ~ aSubsetOf0(X1,szNzAzT0)
| $false
| ~ aElementOf0(X3,X2) ),
inference(rw,[status(thm)],[1269,365,theory(equality)]) ).
cnf(1271,negated_conjecture,
( X3 != xx
| ~ aElementOf0(esk11_4(xd,X1,X2,X3),szNzAzT0)
| sdtlcdtrc0(xd,X1) != X2
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X3,X2) ),
inference(cn,[status(thm)],[1270,theory(equality)]) ).
cnf(21371,negated_conjecture,
( sdtlcdtrc0(xd,szNzAzT0) != X1
| X2 != xx
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
| ~ aFunction0(xd) ),
inference(spm,[status(thm)],[1271,316,theory(equality)]) ).
cnf(21374,negated_conjecture,
( sdtlcdtrc0(xd,szNzAzT0) != X1
| X2 != xx
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aFunction0(xd) ),
inference(rw,[status(thm)],[21371,364,theory(equality)]) ).
cnf(21375,negated_conjecture,
( sdtlcdtrc0(xd,szNzAzT0) != X1
| X2 != xx
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| $false ),
inference(rw,[status(thm)],[21374,365,theory(equality)]) ).
cnf(21376,negated_conjecture,
( sdtlcdtrc0(xd,szNzAzT0) != X1
| X2 != xx
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(cn,[status(thm)],[21375,theory(equality)]) ).
cnf(21377,negated_conjecture,
( X1 != xx
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0)) ),
inference(er,[status(thm)],[21376,theory(equality)]) ).
cnf(21378,plain,
~ aSubsetOf0(szNzAzT0,szNzAzT0),
inference(spm,[status(thm)],[21377,571,theory(equality)]) ).
cnf(21403,plain,
~ aSet0(szNzAzT0),
inference(spm,[status(thm)],[21378,482,theory(equality)]) ).
cnf(21406,plain,
$false,
inference(rw,[status(thm)],[21403,467,theory(equality)]) ).
cnf(21407,plain,
$false,
inference(cn,[status(thm)],[21406,theory(equality)]) ).
cnf(21408,plain,
$false,
21407,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM594+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 : n066.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 10:03:14 CST 2018
% 0.03/0.24 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.28 --creating new selector for []
% 0.72/1.07 -running prover on /export/starexec/sandbox/tmp/tmpepD8oY/sel_theBenchmark.p_1 with time limit 29
% 0.72/1.07 -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/tmpepD8oY/sel_theBenchmark.p_1']
% 0.72/1.07 -prover status Theorem
% 0.72/1.07 Problem theBenchmark.p solved in phase 0.
% 0.72/1.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/1.07 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/1.07 Solved 1 out of 1.
% 0.72/1.07 # Problem is unsatisfiable (or provable), constructing proof object
% 0.72/1.07 # SZS status Theorem
% 0.72/1.07 # SZS output start CNFRefutation.
% See solution above
% 0.72/1.07 # SZS output end CNFRefutation
%------------------------------------------------------------------------------