TSTP Solution File: NUM525+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM525+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n065.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 15:21:39 EST 2018
% Result : Theorem 3.51s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 11
% Syntax : Number of formulae : 118 ( 20 unt; 0 def)
% Number of atoms : 465 ( 151 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 582 ( 235 ~; 311 |; 27 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 131 ( 3 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(14,axiom,
equal(sdtasdt0(xp,sdtasdt0(xm,xm)),sdtasdt0(xn,xn)),
file('/export/starexec/sandbox/tmp/tmpezLOj4/sel_theBenchmark.p_1',m__3014) ).
fof(18,axiom,
equal(xq,sdtsldt0(xn,xp)),
file('/export/starexec/sandbox/tmp/tmpezLOj4/sel_theBenchmark.p_1',m__3059) ).
fof(24,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( ~ equal(X1,sz00)
& doDivides0(X1,X2) )
=> ! [X3] :
( equal(X3,sdtsldt0(X2,X1))
<=> ( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpezLOj4/sel_theBenchmark.p_1',mDefQuot) ).
fof(27,axiom,
( aNaturalNumber0(sz10)
& ~ equal(sz10,sz00) ),
file('/export/starexec/sandbox/tmp/tmpezLOj4/sel_theBenchmark.p_1',mSortsC_01) ).
fof(28,conjecture,
equal(sdtasdt0(xp,sdtasdt0(xm,xm)),sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq)))),
file('/export/starexec/sandbox/tmp/tmpezLOj4/sel_theBenchmark.p_1',m__) ).
fof(29,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> equal(sdtasdt0(sdtasdt0(X1,X2),X3),sdtasdt0(X1,sdtasdt0(X2,X3))) ),
file('/export/starexec/sandbox/tmp/tmpezLOj4/sel_theBenchmark.p_1',mMulAsso) ).
fof(40,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmpezLOj4/sel_theBenchmark.p_1',mMulComm) ).
fof(41,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( ~ equal(X1,sz00)
& doDivides0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> equal(sdtasdt0(X3,sdtsldt0(X2,X1)),sdtsldt0(sdtasdt0(X3,X2),X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpezLOj4/sel_theBenchmark.p_1',mDivAsso) ).
fof(42,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& ~ equal(xn,sz00)
& ~ equal(xm,sz00)
& ~ equal(xp,sz00) ),
file('/export/starexec/sandbox/tmp/tmpezLOj4/sel_theBenchmark.p_1',m__2987) ).
fof(44,axiom,
( doDivides0(xp,sdtasdt0(xn,xn))
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox/tmp/tmpezLOj4/sel_theBenchmark.p_1',m__3046) ).
fof(45,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpezLOj4/sel_theBenchmark.p_1',m_MulUnit) ).
fof(47,negated_conjecture,
~ equal(sdtasdt0(xp,sdtasdt0(xm,xm)),sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq)))),
inference(assume_negation,[status(cth)],[28]) ).
fof(49,negated_conjecture,
~ equal(sdtasdt0(xp,sdtasdt0(xm,xm)),sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq)))),
inference(fof_simplification,[status(thm)],[47,theory(equality)]) ).
cnf(103,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(118,plain,
xq = sdtsldt0(xn,xp),
inference(split_conjunct,[status(thm)],[18]) ).
fof(143,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(X1,sz00)
| ~ doDivides0(X1,X2)
| ! [X3] :
( ( ~ equal(X3,sdtsldt0(X2,X1))
| ( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) )
& ( ~ aNaturalNumber0(X3)
| ~ equal(X2,sdtasdt0(X1,X3))
| equal(X3,sdtsldt0(X2,X1)) ) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(144,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ! [X6] :
( ( ~ equal(X6,sdtsldt0(X5,X4))
| ( aNaturalNumber0(X6)
& equal(X5,sdtasdt0(X4,X6)) ) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(X5,sdtasdt0(X4,X6))
| equal(X6,sdtsldt0(X5,X4)) ) ) ),
inference(variable_rename,[status(thm)],[143]) ).
fof(145,plain,
! [X4,X5,X6] :
( ( ( ~ equal(X6,sdtsldt0(X5,X4))
| ( aNaturalNumber0(X6)
& equal(X5,sdtasdt0(X4,X6)) ) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(X5,sdtasdt0(X4,X6))
| equal(X6,sdtsldt0(X5,X4)) ) )
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[144]) ).
fof(146,plain,
! [X4,X5,X6] :
( ( aNaturalNumber0(X6)
| ~ equal(X6,sdtsldt0(X5,X4))
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(X5,sdtasdt0(X4,X6))
| ~ equal(X6,sdtsldt0(X5,X4))
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(X5,sdtasdt0(X4,X6))
| equal(X6,sdtsldt0(X5,X4))
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[145]) ).
cnf(148,plain,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(149,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(159,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(160,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(split_conjunct,[status(thm)],[49]) ).
fof(161,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| equal(sdtasdt0(sdtasdt0(X1,X2),X3),sdtasdt0(X1,sdtasdt0(X2,X3))) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(162,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(sdtasdt0(sdtasdt0(X4,X5),X6),sdtasdt0(X4,sdtasdt0(X5,X6))) ),
inference(variable_rename,[status(thm)],[161]) ).
cnf(163,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[162]) ).
fof(213,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(214,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[213]) ).
cnf(215,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[214]) ).
fof(216,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(X1,sz00)
| ~ doDivides0(X1,X2)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| equal(sdtasdt0(X3,sdtsldt0(X2,X1)),sdtsldt0(sdtasdt0(X3,X2),X1)) ) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(217,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ! [X6] :
( ~ aNaturalNumber0(X6)
| equal(sdtasdt0(X6,sdtsldt0(X5,X4)),sdtsldt0(sdtasdt0(X6,X5),X4)) ) ),
inference(variable_rename,[status(thm)],[216]) ).
fof(218,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X6)
| equal(sdtasdt0(X6,sdtsldt0(X5,X4)),sdtsldt0(sdtasdt0(X6,X5),X4))
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[217]) ).
cnf(219,plain,
( X2 = sz00
| sdtasdt0(X3,sdtsldt0(X1,X2)) = sdtsldt0(sdtasdt0(X3,X1),X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(220,plain,
xp != sz00,
inference(split_conjunct,[status(thm)],[42]) ).
cnf(223,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(225,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(231,plain,
doDivides0(xp,xn),
inference(split_conjunct,[status(thm)],[44]) ).
fof(233,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(234,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz10),X2)
& equal(X2,sdtasdt0(sz10,X2)) ) ),
inference(variable_rename,[status(thm)],[233]) ).
fof(235,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz10),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtasdt0(sz10,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[234]) ).
cnf(236,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[235]) ).
cnf(287,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))) != sdtasdt0(xn,xn),
inference(rw,[status(thm)],[160,103,theory(equality)]) ).
cnf(596,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| sz00 = X1
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[148,theory(equality)]) ).
cnf(597,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[148,118,theory(equality)]) ).
cnf(598,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[597,231,theory(equality)]) ).
cnf(599,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[598,223,theory(equality)]) ).
cnf(600,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[599,225,theory(equality)]) ).
cnf(601,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1 ),
inference(cn,[status(thm)],[600,theory(equality)]) ).
cnf(602,plain,
( sdtasdt0(xp,X1) = xn
| xq != X1 ),
inference(sr,[status(thm)],[601,220,theory(equality)]) ).
cnf(660,plain,
( sz00 = X1
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[149,theory(equality)]) ).
cnf(661,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[149,118,theory(equality)]) ).
cnf(662,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[661,231,theory(equality)]) ).
cnf(663,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[662,223,theory(equality)]) ).
cnf(664,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[663,225,theory(equality)]) ).
cnf(665,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[664,theory(equality)]) ).
cnf(666,plain,
( aNaturalNumber0(X1)
| xq != X1 ),
inference(sr,[status(thm)],[665,220,theory(equality)]) ).
cnf(936,plain,
( sdtsldt0(X1,X2) = sdtasdt0(sz10,sdtsldt0(X1,X2))
| sz00 = X2
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[219,236,theory(equality)]) ).
cnf(950,plain,
( sdtsldt0(X1,X2) = sdtasdt0(sz10,sdtsldt0(X1,X2))
| sz00 = X2
| ~ doDivides0(X2,X1)
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[936,159,theory(equality)]) ).
cnf(951,plain,
( sdtsldt0(X1,X2) = sdtasdt0(sz10,sdtsldt0(X1,X2))
| sz00 = X2
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[950,theory(equality)]) ).
cnf(1040,plain,
( xn = sdtasdt0(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| xq != X1 ),
inference(spm,[status(thm)],[215,602,theory(equality)]) ).
cnf(1046,plain,
( sdtasdt0(xn,X2) = sdtasdt0(xp,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| xq != X1 ),
inference(spm,[status(thm)],[163,602,theory(equality)]) ).
cnf(1070,plain,
( xn = sdtasdt0(X1,xp)
| ~ aNaturalNumber0(X1)
| $false
| xq != X1 ),
inference(rw,[status(thm)],[1040,223,theory(equality)]) ).
cnf(1071,plain,
( xn = sdtasdt0(X1,xp)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[1070,theory(equality)]) ).
cnf(1085,plain,
( sdtasdt0(xn,X2) = sdtasdt0(xp,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false
| xq != X1 ),
inference(rw,[status(thm)],[1046,223,theory(equality)]) ).
cnf(1086,plain,
( sdtasdt0(xn,X2) = sdtasdt0(xp,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[1085,theory(equality)]) ).
cnf(1152,plain,
( sdtasdt0(X1,xp) = xn
| xq != X1 ),
inference(csr,[status(thm)],[1071,666]) ).
cnf(1160,plain,
( sdtasdt0(xn,X2) = sdtasdt0(X1,sdtasdt0(xp,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(spm,[status(thm)],[163,1152,theory(equality)]) ).
cnf(1161,plain,
( xn = sdtasdt0(X1,sdtasdt0(X2,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != sdtasdt0(X1,X2) ),
inference(spm,[status(thm)],[163,1152,theory(equality)]) ).
cnf(1197,plain,
( sdtasdt0(xn,X2) = sdtasdt0(X1,sdtasdt0(xp,X2))
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(rw,[status(thm)],[1160,223,theory(equality)]) ).
cnf(1198,plain,
( sdtasdt0(xn,X2) = sdtasdt0(X1,sdtasdt0(xp,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[1197,theory(equality)]) ).
cnf(1199,plain,
( xn = sdtasdt0(X1,sdtasdt0(X2,xp))
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != sdtasdt0(X1,X2) ),
inference(rw,[status(thm)],[1161,223,theory(equality)]) ).
cnf(1200,plain,
( xn = sdtasdt0(X1,sdtasdt0(X2,xp))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != sdtasdt0(X1,X2) ),
inference(cn,[status(thm)],[1199,theory(equality)]) ).
cnf(2142,plain,
( sdtasdt0(X1,xp) = xn
| sdtasdt0(X1,sz10) != xq
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[1200,236,theory(equality)]) ).
cnf(2181,plain,
( sdtasdt0(X1,xp) = xn
| sdtasdt0(X1,sz10) != xq
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[2142,159,theory(equality)]) ).
cnf(2182,plain,
( sdtasdt0(X1,xp) = xn
| sdtasdt0(X1,sz10) != xq
| $false
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[2181,223,theory(equality)]) ).
cnf(2183,plain,
( sdtasdt0(X1,xp) = xn
| sdtasdt0(X1,sz10) != xq
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[2182,theory(equality)]) ).
cnf(2206,plain,
( xn = sdtasdt0(xp,X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz10) != xq ),
inference(spm,[status(thm)],[215,2183,theory(equality)]) ).
cnf(2241,plain,
( xn = sdtasdt0(xp,X1)
| $false
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz10) != xq ),
inference(rw,[status(thm)],[2206,223,theory(equality)]) ).
cnf(2242,plain,
( xn = sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz10) != xq ),
inference(cn,[status(thm)],[2241,theory(equality)]) ).
cnf(2725,plain,
( sdtasdt0(xp,X1) = xn
| sdtasdt0(sz10,X1) != xq
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[2242,215,theory(equality)]) ).
cnf(2734,plain,
( sdtasdt0(xp,X1) = xn
| sdtasdt0(sz10,X1) != xq
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[2725,159,theory(equality)]) ).
cnf(2735,plain,
( sdtasdt0(xp,X1) = xn
| sdtasdt0(sz10,X1) != xq
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[2734,theory(equality)]) ).
cnf(3011,plain,
( sdtasdt0(xn,X2) = sdtasdt0(xp,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| sdtasdt0(sz10,X1) != xq ),
inference(spm,[status(thm)],[163,2735,theory(equality)]) ).
cnf(3059,plain,
( sdtasdt0(xn,X2) = sdtasdt0(xp,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false
| sdtasdt0(sz10,X1) != xq ),
inference(rw,[status(thm)],[3011,223,theory(equality)]) ).
cnf(3060,plain,
( sdtasdt0(xn,X2) = sdtasdt0(xp,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sz10,X1) != xq ),
inference(cn,[status(thm)],[3059,theory(equality)]) ).
cnf(13218,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[596,118,theory(equality)]) ).
cnf(13298,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[13218,231,theory(equality)]) ).
cnf(13299,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[13298,223,theory(equality)]) ).
cnf(13300,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp
| $false
| $false
| $false ),
inference(rw,[status(thm)],[13299,225,theory(equality)]) ).
cnf(13301,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp ),
inference(cn,[status(thm)],[13300,theory(equality)]) ).
cnf(13302,plain,
sdtasdt0(xp,xq) = xn,
inference(sr,[status(thm)],[13301,220,theory(equality)]) ).
cnf(21740,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[660,118,theory(equality)]) ).
cnf(21758,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[21740,231,theory(equality)]) ).
cnf(21759,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[21758,223,theory(equality)]) ).
cnf(21760,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[21759,225,theory(equality)]) ).
cnf(21761,plain,
( sz00 = xp
| aNaturalNumber0(xq) ),
inference(cn,[status(thm)],[21760,theory(equality)]) ).
cnf(21762,plain,
aNaturalNumber0(xq),
inference(sr,[status(thm)],[21761,220,theory(equality)]) ).
cnf(72516,plain,
( sdtasdt0(sz10,xq) = xq
| sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[951,118,theory(equality)]) ).
cnf(72672,plain,
( sdtasdt0(sz10,xq) = xq
| sz00 = xp
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[72516,231,theory(equality)]) ).
cnf(72673,plain,
( sdtasdt0(sz10,xq) = xq
| sz00 = xp
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[72672,223,theory(equality)]) ).
cnf(72674,plain,
( sdtasdt0(sz10,xq) = xq
| sz00 = xp
| $false
| $false
| $false ),
inference(rw,[status(thm)],[72673,225,theory(equality)]) ).
cnf(72675,plain,
( sdtasdt0(sz10,xq) = xq
| sz00 = xp ),
inference(cn,[status(thm)],[72674,theory(equality)]) ).
cnf(72676,plain,
sdtasdt0(sz10,xq) = xq,
inference(sr,[status(thm)],[72675,220,theory(equality)]) ).
cnf(86180,plain,
( sdtasdt0(xp,sdtasdt0(X1,X2)) = sdtasdt0(xn,X2)
| xq != X1
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[1086,666]) ).
cnf(94937,plain,
( sdtasdt0(X1,sdtasdt0(xp,X2)) = sdtasdt0(xn,X2)
| xq != X1
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[1198,666]) ).
cnf(94939,plain,
( sdtasdt0(X1,xn) = sdtasdt0(xn,xq)
| xq != X1
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[94937,13302,theory(equality)]) ).
cnf(95251,plain,
( sdtasdt0(X1,xn) = sdtasdt0(xn,xq)
| xq != X1
| $false ),
inference(rw,[status(thm)],[94939,21762,theory(equality)]) ).
cnf(95252,plain,
( sdtasdt0(X1,xn) = sdtasdt0(xn,xq)
| xq != X1 ),
inference(cn,[status(thm)],[95251,theory(equality)]) ).
cnf(130017,plain,
( sdtasdt0(xp,sdtasdt0(xn,xq)) = sdtasdt0(xn,xn)
| xq != X1
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[86180,95252,theory(equality)]) ).
cnf(130837,plain,
( sdtasdt0(xp,sdtasdt0(xn,xq)) = sdtasdt0(xn,xn)
| xq != X1
| $false ),
inference(rw,[status(thm)],[130017,225,theory(equality)]) ).
cnf(130838,plain,
( sdtasdt0(xp,sdtasdt0(xn,xq)) = sdtasdt0(xn,xn)
| xq != X1 ),
inference(cn,[status(thm)],[130837,theory(equality)]) ).
cnf(159918,plain,
sdtasdt0(xp,sdtasdt0(xn,xq)) = sdtasdt0(xn,xn),
inference(er,[status(thm)],[130838,theory(equality)]) ).
cnf(199777,plain,
( sdtasdt0(xp,sdtasdt0(xn,xq)) != sdtasdt0(xn,xn)
| sdtasdt0(sz10,xq) != xq
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[287,3060,theory(equality)]) ).
cnf(200332,plain,
( $false
| sdtasdt0(sz10,xq) != xq
| ~ aNaturalNumber0(xq) ),
inference(rw,[status(thm)],[199777,159918,theory(equality)]) ).
cnf(200333,plain,
( $false
| $false
| ~ aNaturalNumber0(xq) ),
inference(rw,[status(thm)],[200332,72676,theory(equality)]) ).
cnf(200334,plain,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[200333,21762,theory(equality)]) ).
cnf(200335,plain,
$false,
inference(cn,[status(thm)],[200334,theory(equality)]) ).
cnf(200336,plain,
$false,
200335,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM525+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.22 % Computer : n065.star.cs.uiowa.edu
% 0.03/0.22 % Model : x86_64 x86_64
% 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22 % Memory : 32218.625MB
% 0.03/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.22 % CPULimit : 300
% 0.03/0.22 % DateTime : Fri Jan 5 07:21:00 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.36 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.36 --creating new selector for []
% 3.51/3.87 -running prover on /export/starexec/sandbox/tmp/tmpezLOj4/sel_theBenchmark.p_1 with time limit 29
% 3.51/3.87 -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/tmpezLOj4/sel_theBenchmark.p_1']
% 3.51/3.87 -prover status Theorem
% 3.51/3.87 Problem theBenchmark.p solved in phase 0.
% 3.51/3.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.51/3.87 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.51/3.87 Solved 1 out of 1.
% 3.51/3.87 # Problem is unsatisfiable (or provable), constructing proof object
% 3.51/3.87 # SZS status Theorem
% 3.51/3.87 # SZS output start CNFRefutation.
% See solution above
% 3.51/3.87 # SZS output end CNFRefutation
%------------------------------------------------------------------------------