TSTP Solution File: NUM453+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM453+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n122.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 15:21:23 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 10
% Syntax : Number of formulae : 123 ( 14 unt; 0 def)
% Number of atoms : 347 ( 99 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 392 ( 168 ~; 202 |; 16 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmpwWyOe2/sel_theBenchmark.p_1',mAddComm) ).
fof(8,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmpwWyOe2/sel_theBenchmark.p_1',mIntPlus) ).
fof(20,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/tmp/tmpwWyOe2/sel_theBenchmark.p_1',mIntOne) ).
fof(26,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtpldt0(X1,smndt0(X1)),sz00)
& equal(sz00,sdtpldt0(smndt0(X1),X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpwWyOe2/sel_theBenchmark.p_1',mAddNeg) ).
fof(30,conjecture,
( ~ equal(sdtpldt0(sz10,xp),sz10)
& ~ equal(sdtpldt0(sz10,smndt0(xp)),sz10) ),
file('/export/starexec/sandbox/tmp/tmpwWyOe2/sel_theBenchmark.p_1',m__) ).
fof(34,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> equal(sdtpldt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtpldt0(X1,X2),X3)) ),
file('/export/starexec/sandbox/tmp/tmpwWyOe2/sel_theBenchmark.p_1',mAddAsso) ).
fof(36,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox/tmp/tmpwWyOe2/sel_theBenchmark.p_1',mIntNeg) ).
fof(37,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/tmp/tmpwWyOe2/sel_theBenchmark.p_1',mIntZero) ).
fof(38,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpwWyOe2/sel_theBenchmark.p_1',mAddZero) ).
fof(47,axiom,
( aInteger0(xp)
& ~ equal(xp,sz00)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox/tmp/tmpwWyOe2/sel_theBenchmark.p_1',m__2171) ).
fof(49,negated_conjecture,
~ ( ~ equal(sdtpldt0(sz10,xp),sz10)
& ~ equal(sdtpldt0(sz10,smndt0(xp)),sz10) ),
inference(assume_negation,[status(cth)],[30]) ).
fof(95,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(96,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| equal(sdtpldt0(X3,X4),sdtpldt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[95]) ).
cnf(97,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[96]) ).
fof(98,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aInteger0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(99,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[98]) ).
cnf(100,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[99]) ).
cnf(144,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[20]) ).
fof(196,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtpldt0(X1,smndt0(X1)),sz00)
& equal(sz00,sdtpldt0(smndt0(X1),X1)) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(197,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtpldt0(X2,smndt0(X2)),sz00)
& equal(sz00,sdtpldt0(smndt0(X2),X2)) ) ),
inference(variable_rename,[status(thm)],[196]) ).
fof(198,plain,
! [X2] :
( ( equal(sdtpldt0(X2,smndt0(X2)),sz00)
| ~ aInteger0(X2) )
& ( equal(sz00,sdtpldt0(smndt0(X2),X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[197]) ).
cnf(199,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[198]) ).
cnf(200,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[198]) ).
fof(227,negated_conjecture,
( equal(sdtpldt0(sz10,xp),sz10)
| equal(sdtpldt0(sz10,smndt0(xp)),sz10) ),
inference(fof_nnf,[status(thm)],[49]) ).
cnf(228,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = sz10
| sdtpldt0(sz10,xp) = sz10 ),
inference(split_conjunct,[status(thm)],[227]) ).
fof(238,plain,
! [X1,X2,X3] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| equal(sdtpldt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtpldt0(X1,X2),X3)) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(239,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| equal(sdtpldt0(X4,sdtpldt0(X5,X6)),sdtpldt0(sdtpldt0(X4,X5),X6)) ),
inference(variable_rename,[status(thm)],[238]) ).
cnf(240,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[239]) ).
fof(242,plain,
! [X1] :
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(fof_nnf,[status(thm)],[36]) ).
fof(243,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[242]) ).
cnf(244,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(245,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[37]) ).
fof(246,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(247,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[246]) ).
fof(248,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aInteger0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[247]) ).
cnf(250,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[248]) ).
cnf(283,plain,
xp != sz00,
inference(split_conjunct,[status(thm)],[47]) ).
cnf(284,plain,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[47]) ).
cnf(434,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1))
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[240,228,theory(equality)]) ).
cnf(438,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(smndt0(sdtpldt0(X1,X2)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[200,240,theory(equality)]) ).
cnf(448,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1))
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[434,144,theory(equality)]) ).
cnf(449,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1))
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[448,theory(equality)]) ).
cnf(817,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = sdtpldt0(sz10,sz00)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[449,250,theory(equality)]) ).
cnf(819,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz10,xp)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[449,199,theory(equality)]) ).
cnf(824,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = sdtpldt0(sz10,sz00)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[817,245,theory(equality)]) ).
cnf(825,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = sdtpldt0(sz10,sz00)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[824,theory(equality)]) ).
cnf(826,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz10,xp)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[819,284,theory(equality)]) ).
cnf(827,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz10,xp)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[826,theory(equality)]) ).
cnf(832,negated_conjecture,
( sdtpldt0(sz10,xp) = sdtpldt0(sz10,sz00)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[827,244,theory(equality)]) ).
cnf(833,negated_conjecture,
( sdtpldt0(sz10,xp) = sdtpldt0(sz10,sz00)
| sdtpldt0(sz10,xp) = sz10
| $false ),
inference(rw,[status(thm)],[832,284,theory(equality)]) ).
cnf(834,negated_conjecture,
( sdtpldt0(sz10,xp) = sdtpldt0(sz10,sz00)
| sdtpldt0(sz10,xp) = sz10 ),
inference(cn,[status(thm)],[833,theory(equality)]) ).
cnf(835,negated_conjecture,
( sdtpldt0(sz10,xp) = sz10
| sdtpldt0(sz10,sz00) != sz10 ),
inference(ef,[status(thm)],[834,theory(equality)]) ).
cnf(856,negated_conjecture,
( sdtpldt0(sz10,sz00) = sz10
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[228,825,theory(equality)]) ).
cnf(871,negated_conjecture,
( sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(csr,[status(thm)],[856,835]) ).
cnf(872,negated_conjecture,
( sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[871,244,theory(equality)]) ).
cnf(873,negated_conjecture,
( sdtpldt0(sz10,xp) = sz10
| $false ),
inference(rw,[status(thm)],[872,284,theory(equality)]) ).
cnf(874,negated_conjecture,
sdtpldt0(sz10,xp) = sz10,
inference(cn,[status(thm)],[873,theory(equality)]) ).
cnf(876,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(xp,X1))
| ~ aInteger0(X1)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[240,874,theory(equality)]) ).
cnf(888,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(xp,X1))
| ~ aInteger0(X1)
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[876,284,theory(equality)]) ).
cnf(889,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(xp,X1))
| ~ aInteger0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[888,144,theory(equality)]) ).
cnf(890,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(xp,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[889,theory(equality)]) ).
cnf(898,negated_conjecture,
( sdtpldt0(sz10,xp) = sdtpldt0(sz10,sz00)
| ~ aInteger0(sz00)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[890,250,theory(equality)]) ).
cnf(899,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz10,smndt0(xp))
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[890,200,theory(equality)]) ).
cnf(900,negated_conjecture,
( aInteger0(sdtpldt0(sz10,X1))
| ~ aInteger0(sdtpldt0(xp,X1))
| ~ aInteger0(sz10)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[100,890,theory(equality)]) ).
cnf(901,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(X1,xp)) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[890,97,theory(equality)]) ).
cnf(904,negated_conjecture,
( sz10 = sdtpldt0(sz10,sz00)
| ~ aInteger0(sz00)
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[898,874,theory(equality)]) ).
cnf(905,negated_conjecture,
( sz10 = sdtpldt0(sz10,sz00)
| $false
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[904,245,theory(equality)]) ).
cnf(906,negated_conjecture,
( sz10 = sdtpldt0(sz10,sz00)
| $false
| $false ),
inference(rw,[status(thm)],[905,284,theory(equality)]) ).
cnf(907,negated_conjecture,
sz10 = sdtpldt0(sz10,sz00),
inference(cn,[status(thm)],[906,theory(equality)]) ).
cnf(908,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz10,smndt0(xp))
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[899,284,theory(equality)]) ).
cnf(909,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz10,smndt0(xp))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[908,theory(equality)]) ).
cnf(910,negated_conjecture,
( aInteger0(sdtpldt0(sz10,X1))
| ~ aInteger0(sdtpldt0(xp,X1))
| $false
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[900,144,theory(equality)]) ).
cnf(911,negated_conjecture,
( aInteger0(sdtpldt0(sz10,X1))
| ~ aInteger0(sdtpldt0(xp,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[910,theory(equality)]) ).
cnf(912,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(X1,xp)) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[901,284,theory(equality)]) ).
cnf(913,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(X1,xp)) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[912,theory(equality)]) ).
cnf(945,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[909,907,theory(equality)]) ).
cnf(948,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[240,945,theory(equality)]) ).
cnf(955,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[948,144,theory(equality)]) ).
cnf(956,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[955,theory(equality)]) ).
cnf(1105,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz10,smndt0(smndt0(xp)))
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(smndt0(smndt0(xp))) ),
inference(spm,[status(thm)],[956,200,theory(equality)]) ).
cnf(1108,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(X1,smndt0(xp))) = sdtpldt0(sz10,X1)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[956,97,theory(equality)]) ).
cnf(1117,negated_conjecture,
( sz10 = sdtpldt0(sz10,smndt0(smndt0(xp)))
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(smndt0(smndt0(xp))) ),
inference(rw,[status(thm)],[1105,907,theory(equality)]) ).
cnf(1132,negated_conjecture,
( sdtpldt0(sz10,smndt0(smndt0(xp))) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(csr,[status(thm)],[1117,244]) ).
cnf(1134,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(smndt0(xp)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(smndt0(xp)))
| ~ aInteger0(sz10)
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[240,1132,theory(equality)]) ).
cnf(1141,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(smndt0(xp)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(smndt0(xp)))
| $false
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[1134,144,theory(equality)]) ).
cnf(1142,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(smndt0(xp)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[1141,theory(equality)]) ).
cnf(1258,negated_conjecture,
( aInteger0(sdtpldt0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[911,100,theory(equality)]) ).
cnf(1268,negated_conjecture,
( aInteger0(sdtpldt0(sz10,X1))
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[1258,284,theory(equality)]) ).
cnf(1269,negated_conjecture,
( aInteger0(sdtpldt0(sz10,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[1268,theory(equality)]) ).
cnf(1336,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(smndt0(smndt0(xp)),X1)) = sdtpldt0(sz10,X1)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[1142,244]) ).
cnf(1347,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = sdtpldt0(sz10,smndt0(smndt0(xp)))
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(smndt0(smndt0(xp))) ),
inference(spm,[status(thm)],[1108,1336,theory(equality)]) ).
cnf(1367,negated_conjecture,
( sdtpldt0(sz10,smndt0(smndt0(xp))) = sdtpldt0(sz10,smndt0(xp))
| ~ aInteger0(smndt0(xp)) ),
inference(csr,[status(thm)],[1347,244]) ).
cnf(1369,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X1) = sdtpldt0(sz10,sdtpldt0(smndt0(smndt0(xp)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(smndt0(xp)))
| ~ aInteger0(sz10)
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[240,1367,theory(equality)]) ).
cnf(1377,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X1) = sdtpldt0(sz10,sdtpldt0(smndt0(smndt0(xp)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(smndt0(xp)))
| $false
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[1369,144,theory(equality)]) ).
cnf(1378,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X1) = sdtpldt0(sz10,sdtpldt0(smndt0(smndt0(xp)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[1377,theory(equality)]) ).
cnf(1908,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(smndt0(smndt0(xp)),X1)) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X1)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[1378,244]) ).
cnf(1916,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),xp) = sdtpldt0(sz10,smndt0(smndt0(xp)))
| ~ aInteger0(smndt0(smndt0(xp)))
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[913,1908,theory(equality)]) ).
cnf(1934,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),xp) = sdtpldt0(sz10,smndt0(smndt0(xp)))
| ~ aInteger0(smndt0(smndt0(xp)))
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[1916,284,theory(equality)]) ).
cnf(1935,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),xp) = sdtpldt0(sz10,smndt0(smndt0(xp)))
| ~ aInteger0(smndt0(smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[1934,theory(equality)]) ).
cnf(2001,negated_conjecture,
( sdtpldt0(sz10,smndt0(smndt0(xp))) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),xp)
| ~ aInteger0(smndt0(xp)) ),
inference(csr,[status(thm)],[1935,244]) ).
cnf(2007,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),xp) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[1132,2001,theory(equality)]) ).
cnf(2027,negated_conjecture,
( sz10 = sdtpldt0(xp,sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[97,2007,theory(equality)]) ).
cnf(2036,negated_conjecture,
( sz10 = sdtpldt0(xp,sdtpldt0(sz10,smndt0(xp)))
| $false
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[2027,284,theory(equality)]) ).
cnf(2037,negated_conjecture,
( sz10 = sdtpldt0(xp,sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[2036,theory(equality)]) ).
cnf(2191,negated_conjecture,
( sdtpldt0(xp,sdtpldt0(sz10,smndt0(xp))) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(csr,[status(thm)],[2037,1269]) ).
cnf(2195,negated_conjecture,
( sdtpldt0(xp,sz10) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[2191,945,theory(equality)]) ).
cnf(2201,negated_conjecture,
( sdtpldt0(xp,sz10) = sz10
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[2195,244,theory(equality)]) ).
cnf(2202,negated_conjecture,
( sdtpldt0(xp,sz10) = sz10
| $false ),
inference(rw,[status(thm)],[2201,284,theory(equality)]) ).
cnf(2203,negated_conjecture,
sdtpldt0(xp,sz10) = sz10,
inference(cn,[status(thm)],[2202,theory(equality)]) ).
cnf(3587,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[438,244]) ).
cnf(3588,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[3587,100]) ).
cnf(3593,negated_conjecture,
( sdtpldt0(xp,sdtpldt0(sz10,smndt0(sz10))) = sz00
| ~ aInteger0(sz10)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[3588,2203,theory(equality)]) ).
cnf(3732,negated_conjecture,
( sdtpldt0(xp,sdtpldt0(sz10,smndt0(sz10))) = sz00
| $false
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[3593,144,theory(equality)]) ).
cnf(3733,negated_conjecture,
( sdtpldt0(xp,sdtpldt0(sz10,smndt0(sz10))) = sz00
| $false
| $false ),
inference(rw,[status(thm)],[3732,284,theory(equality)]) ).
cnf(3734,negated_conjecture,
sdtpldt0(xp,sdtpldt0(sz10,smndt0(sz10))) = sz00,
inference(cn,[status(thm)],[3733,theory(equality)]) ).
cnf(3993,negated_conjecture,
( sdtpldt0(xp,sz00) = sz00
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[3734,200,theory(equality)]) ).
cnf(3999,negated_conjecture,
( sdtpldt0(xp,sz00) = sz00
| $false ),
inference(rw,[status(thm)],[3993,144,theory(equality)]) ).
cnf(4000,negated_conjecture,
sdtpldt0(xp,sz00) = sz00,
inference(cn,[status(thm)],[3999,theory(equality)]) ).
cnf(4039,negated_conjecture,
( sz00 = xp
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[250,4000,theory(equality)]) ).
cnf(4049,negated_conjecture,
( sz00 = xp
| $false ),
inference(rw,[status(thm)],[4039,284,theory(equality)]) ).
cnf(4050,negated_conjecture,
sz00 = xp,
inference(cn,[status(thm)],[4049,theory(equality)]) ).
cnf(4051,negated_conjecture,
$false,
inference(sr,[status(thm)],[4050,283,theory(equality)]) ).
cnf(4052,negated_conjecture,
$false,
4051,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM453+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.22 % Computer : n122.star.cs.uiowa.edu
% 0.02/0.22 % Model : x86_64 x86_64
% 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22 % Memory : 32218.625MB
% 0.02/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.22 % CPULimit : 300
% 0.02/0.22 % DateTime : Fri Jan 5 04:22:45 CST 2018
% 0.02/0.22 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 0.06/0.42 -running prover on /export/starexec/sandbox/tmp/tmpwWyOe2/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.42 -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/tmpwWyOe2/sel_theBenchmark.p_1']
% 0.06/0.42 -prover status Theorem
% 0.06/0.42 Problem theBenchmark.p solved in phase 0.
% 0.06/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.42 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.42 Solved 1 out of 1.
% 0.06/0.42 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.42 # SZS status Theorem
% 0.06/0.42 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.43 # SZS output end CNFRefutation
%------------------------------------------------------------------------------