TSTP Solution File: NUM454+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM454+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n118.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 0.42s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 17
% Syntax : Number of formulae : 236 ( 40 unt; 0 def)
% Number of atoms : 614 ( 174 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 639 ( 261 ~; 327 |; 37 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 140 ( 0 sgn 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mMulOne) ).
fof(3,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtasdt0(smndt0(sz10),X1),smndt0(X1))
& equal(smndt0(X1),sdtasdt0(X1,smndt0(sz10))) ) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mMulMinOne) ).
fof(5,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mMulZero) ).
fof(7,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mAddComm) ).
fof(8,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mIntPlus) ).
fof(11,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( equal(sdtasdt0(X1,X2),sz00)
=> ( equal(X1,sz00)
| equal(X2,sz00) ) ) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mZeroDiv) ).
fof(21,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mIntOne) ).
fof(27,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtpldt0(X1,smndt0(X1)),sz00)
& equal(sz00,sdtpldt0(smndt0(X1),X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mAddNeg) ).
fof(31,conjecture,
( ~ equal(sdtpldt0(sz10,xp),smndt0(sz10))
| ~ equal(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',m__) ).
fof(32,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> equal(sdtasdt0(X1,sdtasdt0(X2,X3)),sdtasdt0(sdtasdt0(X1,X2),X3)) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mMulAsso) ).
fof(35,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/tmpvRg_dS/sel_theBenchmark.p_1',mAddAsso) ).
fof(37,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mIntNeg) ).
fof(38,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mIntZero) ).
fof(39,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mAddZero) ).
fof(40,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mMulComm) ).
fof(44,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> ( equal(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
& equal(sdtasdt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))) ) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',mDistrib) ).
fof(48,axiom,
( aInteger0(xp)
& ~ equal(xp,sz00)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1',m__2171) ).
fof(50,negated_conjecture,
~ ( ~ equal(sdtpldt0(sz10,xp),smndt0(sz10))
| ~ equal(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ),
inference(assume_negation,[status(cth)],[31]) ).
fof(52,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(53,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtasdt0(X2,sz10),X2)
& equal(X2,sdtasdt0(sz10,X2)) ) ),
inference(variable_rename,[status(thm)],[52]) ).
fof(54,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz10),X2)
| ~ aInteger0(X2) )
& ( equal(X2,sdtasdt0(sz10,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[53]) ).
cnf(55,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[54]) ).
cnf(56,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(69,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtasdt0(smndt0(sz10),X1),smndt0(X1))
& equal(smndt0(X1),sdtasdt0(X1,smndt0(sz10))) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(70,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtasdt0(smndt0(sz10),X2),smndt0(X2))
& equal(smndt0(X2),sdtasdt0(X2,smndt0(sz10))) ) ),
inference(variable_rename,[status(thm)],[69]) ).
fof(71,plain,
! [X2] :
( ( equal(sdtasdt0(smndt0(sz10),X2),smndt0(X2))
| ~ aInteger0(X2) )
& ( equal(smndt0(X2),sdtasdt0(X2,smndt0(sz10)))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[70]) ).
cnf(72,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(73,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
fof(77,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(78,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtasdt0(X2,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[77]) ).
fof(79,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz00),sz00)
| ~ aInteger0(X2) )
& ( equal(sz00,sdtasdt0(sz00,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[78]) ).
cnf(81,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[79]) ).
fof(96,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(97,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| equal(sdtpldt0(X3,X4),sdtpldt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[96]) ).
cnf(98,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[97]) ).
fof(99,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aInteger0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(100,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[99]) ).
cnf(101,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[100]) ).
fof(115,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ equal(sdtasdt0(X1,X2),sz00)
| equal(X1,sz00)
| equal(X2,sz00) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(116,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ equal(sdtasdt0(X3,X4),sz00)
| equal(X3,sz00)
| equal(X4,sz00) ),
inference(variable_rename,[status(thm)],[115]) ).
cnf(117,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(147,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[21]) ).
fof(199,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtpldt0(X1,smndt0(X1)),sz00)
& equal(sz00,sdtpldt0(smndt0(X1),X1)) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(200,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtpldt0(X2,smndt0(X2)),sz00)
& equal(sz00,sdtpldt0(smndt0(X2),X2)) ) ),
inference(variable_rename,[status(thm)],[199]) ).
fof(201,plain,
! [X2] :
( ( equal(sdtpldt0(X2,smndt0(X2)),sz00)
| ~ aInteger0(X2) )
& ( equal(sz00,sdtpldt0(smndt0(X2),X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[200]) ).
cnf(202,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(203,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[201]) ).
fof(230,negated_conjecture,
( equal(sdtpldt0(sz10,xp),smndt0(sz10))
& equal(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ),
inference(fof_nnf,[status(thm)],[50]) ).
cnf(231,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
inference(split_conjunct,[status(thm)],[230]) ).
cnf(232,negated_conjecture,
sdtpldt0(sz10,xp) = smndt0(sz10),
inference(split_conjunct,[status(thm)],[230]) ).
fof(233,plain,
! [X1,X2,X3] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| equal(sdtasdt0(X1,sdtasdt0(X2,X3)),sdtasdt0(sdtasdt0(X1,X2),X3)) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(234,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| equal(sdtasdt0(X4,sdtasdt0(X5,X6)),sdtasdt0(sdtasdt0(X4,X5),X6)) ),
inference(variable_rename,[status(thm)],[233]) ).
cnf(235,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[234]) ).
fof(242,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)],[35]) ).
fof(243,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)],[242]) ).
cnf(244,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[243]) ).
fof(246,plain,
! [X1] :
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(247,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[246]) ).
cnf(248,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[247]) ).
cnf(249,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[38]) ).
fof(250,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(251,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[250]) ).
fof(252,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aInteger0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[251]) ).
cnf(253,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[252]) ).
cnf(254,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[252]) ).
fof(255,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(256,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[255]) ).
cnf(257,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[256]) ).
fof(271,plain,
! [X1,X2,X3] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ( equal(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
& equal(sdtasdt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))) ) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(272,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| ( equal(sdtasdt0(X4,sdtpldt0(X5,X6)),sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6)))
& equal(sdtasdt0(sdtpldt0(X4,X5),X6),sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))) ) ),
inference(variable_rename,[status(thm)],[271]) ).
fof(273,plain,
! [X4,X5,X6] :
( ( equal(sdtasdt0(X4,sdtpldt0(X5,X6)),sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6)))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6) )
& ( equal(sdtasdt0(sdtpldt0(X4,X5),X6),sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6)))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6) ) ),
inference(distribute,[status(thm)],[272]) ).
cnf(275,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[273]) ).
cnf(287,plain,
xp != sz00,
inference(split_conjunct,[status(thm)],[48]) ).
cnf(288,plain,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(299,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = sdtpldt0(sz10,xp),
inference(rw,[status(thm)],[231,232,theory(equality)]) ).
cnf(303,negated_conjecture,
( aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[248,232,theory(equality)]) ).
cnf(304,negated_conjecture,
( aInteger0(sdtpldt0(sz10,xp))
| $false ),
inference(rw,[status(thm)],[303,147,theory(equality)]) ).
cnf(305,negated_conjecture,
aInteger0(sdtpldt0(sz10,xp)),
inference(cn,[status(thm)],[304,theory(equality)]) ).
cnf(306,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[203,232,theory(equality)]) ).
cnf(308,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00
| $false ),
inference(rw,[status(thm)],[306,147,theory(equality)]) ).
cnf(309,negated_conjecture,
sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00,
inference(cn,[status(thm)],[308,theory(equality)]) ).
cnf(312,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),sz10) = sz00
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[202,232,theory(equality)]) ).
cnf(314,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),sz10) = sz00
| $false ),
inference(rw,[status(thm)],[312,147,theory(equality)]) ).
cnf(315,negated_conjecture,
sdtpldt0(sdtpldt0(sz10,xp),sz10) = sz00,
inference(cn,[status(thm)],[314,theory(equality)]) ).
cnf(318,plain,
( sdtasdt0(X1,sdtpldt0(sz10,xp)) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[72,232,theory(equality)]) ).
cnf(323,plain,
( sdtasdt0(sdtpldt0(sz10,xp),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[73,232,theory(equality)]) ).
cnf(329,plain,
( sz00 = smndt0(sz00)
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(spm,[status(thm)],[323,81,theory(equality)]) ).
cnf(330,plain,
( sz00 = smndt0(sz00)
| $false
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(rw,[status(thm)],[329,249,theory(equality)]) ).
cnf(331,plain,
( sz00 = smndt0(sz00)
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(cn,[status(thm)],[330,theory(equality)]) ).
cnf(457,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),X1) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[244,299,theory(equality)]) ).
cnf(471,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),X1) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[457,147,theory(equality)]) ).
cnf(472,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),X1) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[471,theory(equality)]) ).
cnf(519,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[235,55,theory(equality)]) ).
cnf(522,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(sdtpldt0(sz10,xp),sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(spm,[status(thm)],[235,323,theory(equality)]) ).
cnf(541,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[519,147,theory(equality)]) ).
cnf(542,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[541,theory(equality)]) ).
cnf(549,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X1)
| ~ aInteger0(sz10)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[275,56,theory(equality)]) ).
cnf(573,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X1)
| $false
| ~ aInteger0(X2) ),
inference(rw,[status(thm)],[549,147,theory(equality)]) ).
cnf(574,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cn,[status(thm)],[573,theory(equality)]) ).
cnf(778,negated_conjecture,
( sdtpldt0(sz00,X1) = sdtpldt0(sz10,sdtpldt0(sdtpldt0(sz10,xp),X1))
| ~ aInteger0(X1)
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[244,309,theory(equality)]) ).
cnf(782,negated_conjecture,
( sdtpldt0(sz00,X1) = sdtpldt0(sz10,sdtpldt0(sdtpldt0(sz10,xp),X1))
| ~ aInteger0(X1)
| ~ aInteger0(sdtpldt0(sz10,xp))
| $false ),
inference(rw,[status(thm)],[778,147,theory(equality)]) ).
cnf(783,negated_conjecture,
( sdtpldt0(sz00,X1) = sdtpldt0(sz10,sdtpldt0(sdtpldt0(sz10,xp),X1))
| ~ aInteger0(X1)
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(cn,[status(thm)],[782,theory(equality)]) ).
cnf(821,plain,
( smndt0(sz00) = sz00
| $false ),
inference(rw,[status(thm)],[331,305,theory(equality)]) ).
cnf(822,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[821,theory(equality)]) ).
cnf(871,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = sdtpldt0(sdtpldt0(sz10,xp),sz00)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[472,254,theory(equality)]) ).
cnf(873,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sdtpldt0(sz10,xp),xp)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[472,202,theory(equality)]) ).
cnf(875,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(X1,smndt0(xp))) = sdtpldt0(sdtpldt0(sz10,xp),X1)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[472,98,theory(equality)]) ).
cnf(878,negated_conjecture,
( sdtpldt0(sz10,xp) = sdtpldt0(sdtpldt0(sz10,xp),sz00)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[871,299,theory(equality)]) ).
cnf(879,negated_conjecture,
( sdtpldt0(sz10,xp) = sdtpldt0(sdtpldt0(sz10,xp),sz00)
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[878,249,theory(equality)]) ).
cnf(880,negated_conjecture,
( sdtpldt0(sz10,xp) = sdtpldt0(sdtpldt0(sz10,xp),sz00)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[879,theory(equality)]) ).
cnf(881,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sdtpldt0(sz10,xp),xp)
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[873,288,theory(equality)]) ).
cnf(882,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sdtpldt0(sz10,xp),xp)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[881,theory(equality)]) ).
cnf(888,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(xp,sdtpldt0(sz10,xp))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[98,882,theory(equality)]) ).
cnf(895,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(xp,sdtpldt0(sz10,xp))
| $false
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[888,288,theory(equality)]) ).
cnf(896,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(xp,sdtpldt0(sz10,xp))
| $false
| $false
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[895,305,theory(equality)]) ).
cnf(897,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(xp,sdtpldt0(sz10,xp))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[896,theory(equality)]) ).
cnf(1070,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(sdtpldt0(sz10,xp),X1)) = sdtpldt0(sz00,X1)
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[783,305,theory(equality)]) ).
cnf(1071,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(sdtpldt0(sz10,xp),X1)) = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[1070,theory(equality)]) ).
cnf(1072,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[1071,315,theory(equality)]) ).
cnf(1083,negated_conjecture,
( sdtpldt0(sz00,smndt0(xp)) = sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(spm,[status(thm)],[875,1071,theory(equality)]) ).
cnf(1084,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10)
| $false ),
inference(rw,[status(thm)],[1072,147,theory(equality)]) ).
cnf(1085,negated_conjecture,
sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10),
inference(cn,[status(thm)],[1084,theory(equality)]) ).
cnf(1110,negated_conjecture,
( sdtpldt0(sz00,smndt0(xp)) = sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[1083,305,theory(equality)]) ).
cnf(1111,negated_conjecture,
( sdtpldt0(sz00,smndt0(xp)) = sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[1110,theory(equality)]) ).
cnf(1112,negated_conjecture,
( sdtpldt0(sz00,sz10) = sz10
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[254,1085,theory(equality)]) ).
cnf(1120,negated_conjecture,
( sdtpldt0(xp,sdtpldt0(sz10,xp)) = sdtpldt0(sz00,sz10)
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[897,1085,theory(equality)]) ).
cnf(1121,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),xp) = sdtpldt0(sz00,sz10)
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[882,1085,theory(equality)]) ).
cnf(1122,negated_conjecture,
( sdtpldt0(sz00,sz10) = sz10
| $false ),
inference(rw,[status(thm)],[1112,147,theory(equality)]) ).
cnf(1123,negated_conjecture,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[1122,theory(equality)]) ).
cnf(1158,negated_conjecture,
( sdtpldt0(xp,sdtpldt0(sz10,xp)) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[1120,1123,theory(equality)]) ).
cnf(1168,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),xp) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[1121,1123,theory(equality)]) ).
cnf(1174,negated_conjecture,
( sdtpldt0(sz10,sz10) = sdtpldt0(sz00,xp)
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[1071,1168,theory(equality)]) ).
cnf(1191,negated_conjecture,
( sdtpldt0(sz10,sz10) = sdtpldt0(sz00,xp)
| $false
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[1174,288,theory(equality)]) ).
cnf(1192,negated_conjecture,
( sdtpldt0(sz10,sz10) = sdtpldt0(sz00,xp)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[1191,theory(equality)]) ).
cnf(1193,negated_conjecture,
( sdtpldt0(sz10,sz10) = sdtpldt0(sz00,xp)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[1192,248,theory(equality)]) ).
cnf(1194,negated_conjecture,
( sdtpldt0(sz10,sz10) = sdtpldt0(sz00,xp)
| $false ),
inference(rw,[status(thm)],[1193,288,theory(equality)]) ).
cnf(1195,negated_conjecture,
sdtpldt0(sz10,sz10) = sdtpldt0(sz00,xp),
inference(cn,[status(thm)],[1194,theory(equality)]) ).
cnf(1196,negated_conjecture,
( aInteger0(sdtpldt0(sz00,xp))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[101,1195,theory(equality)]) ).
cnf(1201,negated_conjecture,
( aInteger0(sdtpldt0(sz00,xp))
| $false ),
inference(rw,[status(thm)],[1196,147,theory(equality)]) ).
cnf(1202,negated_conjecture,
aInteger0(sdtpldt0(sz00,xp)),
inference(cn,[status(thm)],[1201,theory(equality)]) ).
cnf(1243,negated_conjecture,
( sdtpldt0(sz00,smndt0(xp)) = sdtpldt0(sz10,sdtpldt0(xp,sdtpldt0(sz10,xp)))
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(xp)
| ~ aInteger0(sz10)
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[244,1111,theory(equality)]) ).
cnf(1253,negated_conjecture,
( sdtpldt0(sz00,smndt0(xp)) = sdtpldt0(sz10,sdtpldt0(xp,sdtpldt0(sz10,xp)))
| $false
| ~ aInteger0(xp)
| ~ aInteger0(sz10)
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[1243,305,theory(equality)]) ).
cnf(1254,negated_conjecture,
( sdtpldt0(sz00,smndt0(xp)) = sdtpldt0(sz10,sdtpldt0(xp,sdtpldt0(sz10,xp)))
| $false
| $false
| ~ aInteger0(sz10)
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[1253,288,theory(equality)]) ).
cnf(1255,negated_conjecture,
( sdtpldt0(sz00,smndt0(xp)) = sdtpldt0(sz10,sdtpldt0(xp,sdtpldt0(sz10,xp)))
| $false
| $false
| $false
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[1254,147,theory(equality)]) ).
cnf(1256,negated_conjecture,
( sdtpldt0(sz00,smndt0(xp)) = sdtpldt0(sz10,sdtpldt0(xp,sdtpldt0(sz10,xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[1255,theory(equality)]) ).
cnf(1265,negated_conjecture,
( sdtpldt0(sz10,sz10) = sdtpldt0(sz00,smndt0(xp))
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[1256,1158,theory(equality)]) ).
cnf(1270,negated_conjecture,
( sdtpldt0(sz00,xp) = sdtpldt0(sz00,smndt0(xp))
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[1265,1195,theory(equality)]) ).
cnf(1272,negated_conjecture,
( sdtpldt0(sz00,xp) = smndt0(xp)
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[253,1270,theory(equality)]) ).
cnf(1291,negated_conjecture,
( smndt0(xp) = sdtpldt0(sz00,xp)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[1272,248,theory(equality)]) ).
cnf(1292,negated_conjecture,
( smndt0(xp) = sdtpldt0(sz00,xp)
| $false ),
inference(rw,[status(thm)],[1291,288,theory(equality)]) ).
cnf(1293,negated_conjecture,
smndt0(xp) = sdtpldt0(sz00,xp),
inference(cn,[status(thm)],[1292,theory(equality)]) ).
cnf(1295,negated_conjecture,
( sdtpldt0(xp,sdtpldt0(sz00,xp)) = sz00
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[203,1293,theory(equality)]) ).
cnf(1306,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(xp,sdtpldt0(sz10,xp))) = sdtpldt0(sz00,sdtpldt0(sz00,xp))
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[1256,1293,theory(equality)]) ).
cnf(1307,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(xp,sdtpldt0(sz10,xp))) = sdtpldt0(sz00,sdtpldt0(sz00,xp))
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1306,1293,theory(equality)]),1202,theory(equality)]) ).
cnf(1308,negated_conjecture,
sdtpldt0(sz10,sdtpldt0(xp,sdtpldt0(sz10,xp))) = sdtpldt0(sz00,sdtpldt0(sz00,xp)),
inference(cn,[status(thm)],[1307,theory(equality)]) ).
cnf(1309,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp)) = sdtpldt0(sz00,sdtpldt0(sz00,xp))
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[1111,1293,theory(equality)]) ).
cnf(1310,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp)) = sdtpldt0(sz00,sdtpldt0(sz00,xp))
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1309,1293,theory(equality)]),1202,theory(equality)]) ).
cnf(1311,negated_conjecture,
sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp)) = sdtpldt0(sz00,sdtpldt0(sz00,xp)),
inference(cn,[status(thm)],[1310,theory(equality)]) ).
cnf(1320,negated_conjecture,
( sdtpldt0(xp,sdtpldt0(sz10,xp)) = sz10
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1158,1293,theory(equality)]),1202,theory(equality)]) ).
cnf(1321,negated_conjecture,
sdtpldt0(xp,sdtpldt0(sz10,xp)) = sz10,
inference(cn,[status(thm)],[1320,theory(equality)]) ).
cnf(1333,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sz10,xp)
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[880,1293,theory(equality)]),1202,theory(equality)]) ).
cnf(1334,negated_conjecture,
sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sz10,xp),
inference(cn,[status(thm)],[1333,theory(equality)]) ).
cnf(1341,negated_conjecture,
( sdtpldt0(xp,sdtpldt0(sz00,xp)) = sz00
| $false ),
inference(rw,[status(thm)],[1295,288,theory(equality)]) ).
cnf(1342,negated_conjecture,
sdtpldt0(xp,sdtpldt0(sz00,xp)) = sz00,
inference(cn,[status(thm)],[1341,theory(equality)]) ).
cnf(1375,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(xp,sdtpldt0(sdtpldt0(sz10,xp),X1))
| ~ aInteger0(X1)
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[244,1321,theory(equality)]) ).
cnf(1380,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(xp,sdtpldt0(sdtpldt0(sz10,xp),X1))
| ~ aInteger0(X1)
| $false
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[1375,305,theory(equality)]) ).
cnf(1381,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(xp,sdtpldt0(sdtpldt0(sz10,xp),X1))
| ~ aInteger0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[1380,288,theory(equality)]) ).
cnf(1382,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(xp,sdtpldt0(sdtpldt0(sz10,xp),X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[1381,theory(equality)]) ).
cnf(1564,negated_conjecture,
( sdtpldt0(xp,xp) = sz00
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[1342,253,theory(equality)]) ).
cnf(1569,negated_conjecture,
( sdtpldt0(xp,xp) = sz00
| $false ),
inference(rw,[status(thm)],[1564,288,theory(equality)]) ).
cnf(1570,negated_conjecture,
sdtpldt0(xp,xp) = sz00,
inference(cn,[status(thm)],[1569,theory(equality)]) ).
cnf(1623,negated_conjecture,
sdtpldt0(sz00,xp) = sdtpldt0(sz00,sdtpldt0(sz00,xp)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1308,1321,theory(equality)]),1195,theory(equality)]) ).
cnf(1624,negated_conjecture,
( sdtpldt0(sz00,xp) = xp
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[1623,253,theory(equality)]) ).
cnf(1627,negated_conjecture,
( sdtpldt0(sz00,xp) = xp
| $false ),
inference(rw,[status(thm)],[1624,288,theory(equality)]) ).
cnf(1628,negated_conjecture,
sdtpldt0(sz00,xp) = xp,
inference(cn,[status(thm)],[1627,theory(equality)]) ).
cnf(1672,negated_conjecture,
sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp)) = xp,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1311,1628,theory(equality)]),1628,theory(equality)]) ).
cnf(1879,negated_conjecture,
( sdtpldt0(xp,sz00) = sdtpldt0(sz10,sz10)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[1382,315,theory(equality)]) ).
cnf(1894,negated_conjecture,
( sdtpldt0(xp,sz00) = xp
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1879,1195,theory(equality)]),1628,theory(equality)]) ).
cnf(1895,negated_conjecture,
( sdtpldt0(xp,sz00) = xp
| $false ),
inference(rw,[status(thm)],[1894,147,theory(equality)]) ).
cnf(1896,negated_conjecture,
sdtpldt0(xp,sz00) = xp,
inference(cn,[status(thm)],[1895,theory(equality)]) ).
cnf(20987,plain,
( sdtasdt0(sz10,smndt0(X1)) = smndt0(X1)
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[542,318,theory(equality)]) ).
cnf(21016,plain,
( sdtasdt0(sz10,smndt0(X1)) = smndt0(X1)
| $false
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[20987,305,theory(equality)]) ).
cnf(21017,plain,
( sdtasdt0(sz10,smndt0(X1)) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[21016,theory(equality)]) ).
cnf(21058,plain,
( sdtasdt0(sz10,sz00) = sz00
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[21017,822,theory(equality)]) ).
cnf(21076,plain,
( sdtasdt0(sz10,sz00) = sz00
| $false ),
inference(rw,[status(thm)],[21058,249,theory(equality)]) ).
cnf(21077,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(cn,[status(thm)],[21076,theory(equality)]) ).
cnf(21323,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ aInteger0(sz00)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[257,21077,theory(equality)]) ).
cnf(21337,plain,
( sz00 = sdtasdt0(sz00,sz10)
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[21323,249,theory(equality)]) ).
cnf(21338,plain,
( sz00 = sdtasdt0(sz00,sz10)
| $false
| $false ),
inference(rw,[status(thm)],[21337,147,theory(equality)]) ).
cnf(21339,plain,
sz00 = sdtasdt0(sz00,sz10),
inference(cn,[status(thm)],[21338,theory(equality)]) ).
cnf(21509,plain,
( sdtasdt0(sdtpldt0(sz10,xp),sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[522,305,theory(equality)]) ).
cnf(21510,plain,
( sdtasdt0(sdtpldt0(sz10,xp),sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[21509,theory(equality)]) ).
cnf(21514,plain,
( sdtasdt0(sdtpldt0(sz10,xp),sz00) = sdtasdt0(smndt0(sz00),sz10)
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[21510,21339,theory(equality)]) ).
cnf(21566,plain,
( sdtasdt0(sdtpldt0(sz10,xp),sz00) = sz00
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21514,822,theory(equality)]),21339,theory(equality)]) ).
cnf(21567,plain,
( sdtasdt0(sdtpldt0(sz10,xp),sz00) = sz00
| $false
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[21566,147,theory(equality)]) ).
cnf(21568,plain,
( sdtasdt0(sdtpldt0(sz10,xp),sz00) = sz00
| $false
| $false ),
inference(rw,[status(thm)],[21567,249,theory(equality)]) ).
cnf(21569,plain,
sdtasdt0(sdtpldt0(sz10,xp),sz00) = sz00,
inference(cn,[status(thm)],[21568,theory(equality)]) ).
cnf(27358,plain,
( sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtasdt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,sz00))
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[574,21569,theory(equality)]) ).
cnf(27477,plain,
( sdtpldt0(sz10,xp) = sdtasdt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,sz00))
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[27358,1334,theory(equality)]) ).
cnf(27478,plain,
( sdtpldt0(sz10,xp) = sdtasdt0(sdtpldt0(sz10,xp),sz10)
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[27477,1085,theory(equality)]),1123,theory(equality)]) ).
cnf(27479,plain,
( sdtpldt0(sz10,xp) = sdtasdt0(sdtpldt0(sz10,xp),sz10)
| $false
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[27478,305,theory(equality)]) ).
cnf(27480,plain,
( sdtpldt0(sz10,xp) = sdtasdt0(sdtpldt0(sz10,xp),sz10)
| $false
| $false ),
inference(rw,[status(thm)],[27479,249,theory(equality)]) ).
cnf(27481,plain,
sdtpldt0(sz10,xp) = sdtasdt0(sdtpldt0(sz10,xp),sz10),
inference(cn,[status(thm)],[27480,theory(equality)]) ).
cnf(27760,plain,
( sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp)) = sdtasdt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,sz10))
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[574,27481,theory(equality)]) ).
cnf(27853,plain,
( xp = sdtasdt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,sz10))
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[27760,1672,theory(equality)]) ).
cnf(27854,plain,
( xp = sdtasdt0(sdtpldt0(sz10,xp),xp)
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[27853,1195,theory(equality)]),1628,theory(equality)]) ).
cnf(27855,plain,
( xp = sdtasdt0(sdtpldt0(sz10,xp),xp)
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[27854,305,theory(equality)]) ).
cnf(27856,plain,
( xp = sdtasdt0(sdtpldt0(sz10,xp),xp)
| $false
| $false ),
inference(rw,[status(thm)],[27855,147,theory(equality)]) ).
cnf(27857,plain,
xp = sdtasdt0(sdtpldt0(sz10,xp),xp),
inference(cn,[status(thm)],[27856,theory(equality)]) ).
cnf(27861,plain,
( xp = sdtasdt0(xp,sdtpldt0(sz10,xp))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(spm,[status(thm)],[257,27857,theory(equality)]) ).
cnf(27897,plain,
( xp = sdtasdt0(xp,sdtpldt0(sz10,xp))
| $false
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(rw,[status(thm)],[27861,288,theory(equality)]) ).
cnf(27898,plain,
( xp = sdtasdt0(xp,sdtpldt0(sz10,xp))
| $false
| $false ),
inference(rw,[status(thm)],[27897,305,theory(equality)]) ).
cnf(27899,plain,
xp = sdtasdt0(xp,sdtpldt0(sz10,xp)),
inference(cn,[status(thm)],[27898,theory(equality)]) ).
cnf(28003,plain,
( sdtpldt0(xp,xp) = sdtasdt0(xp,sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(spm,[status(thm)],[574,27899,theory(equality)]) ).
cnf(28087,plain,
( sz00 = sdtasdt0(xp,sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(rw,[status(thm)],[28003,1570,theory(equality)]) ).
cnf(28088,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(rw,[status(thm)],[28087,309,theory(equality)]) ).
cnf(28089,plain,
( sz00 = sdtasdt0(xp,sz00)
| $false
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(rw,[status(thm)],[28088,288,theory(equality)]) ).
cnf(28090,plain,
( sz00 = sdtasdt0(xp,sz00)
| $false
| $false ),
inference(rw,[status(thm)],[28089,305,theory(equality)]) ).
cnf(28091,plain,
sz00 = sdtasdt0(xp,sz00),
inference(cn,[status(thm)],[28090,theory(equality)]) ).
cnf(28672,plain,
( sdtpldt0(xp,sz00) = sdtasdt0(xp,sdtpldt0(sz10,sz00))
| ~ aInteger0(xp)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[574,28091,theory(equality)]) ).
cnf(28742,plain,
( xp = sdtasdt0(xp,sdtpldt0(sz10,sz00))
| ~ aInteger0(xp)
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[28672,1896,theory(equality)]) ).
cnf(28743,plain,
( xp = sdtasdt0(xp,sz10)
| ~ aInteger0(xp)
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[28742,1085,theory(equality)]),1123,theory(equality)]) ).
cnf(28744,plain,
( xp = sdtasdt0(xp,sz10)
| $false
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[28743,288,theory(equality)]) ).
cnf(28745,plain,
( xp = sdtasdt0(xp,sz10)
| $false
| $false ),
inference(rw,[status(thm)],[28744,249,theory(equality)]) ).
cnf(28746,plain,
xp = sdtasdt0(xp,sz10),
inference(cn,[status(thm)],[28745,theory(equality)]) ).
cnf(29036,plain,
( sdtpldt0(xp,xp) = sdtasdt0(xp,sdtpldt0(sz10,sz10))
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[574,28746,theory(equality)]) ).
cnf(29127,plain,
( sz00 = sdtasdt0(xp,sdtpldt0(sz10,sz10))
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[29036,1570,theory(equality)]) ).
cnf(29128,plain,
( sz00 = sdtasdt0(xp,xp)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[29127,1195,theory(equality)]),1628,theory(equality)]) ).
cnf(29129,plain,
( sz00 = sdtasdt0(xp,xp)
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[29128,288,theory(equality)]) ).
cnf(29130,plain,
( sz00 = sdtasdt0(xp,xp)
| $false
| $false ),
inference(rw,[status(thm)],[29129,147,theory(equality)]) ).
cnf(29131,plain,
sz00 = sdtasdt0(xp,xp),
inference(cn,[status(thm)],[29130,theory(equality)]) ).
cnf(29139,plain,
( sz00 = xp
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[117,29131,theory(equality)]) ).
cnf(29169,plain,
( sz00 = xp
| $false ),
inference(rw,[status(thm)],[29139,288,theory(equality)]) ).
cnf(29170,plain,
sz00 = xp,
inference(cn,[status(thm)],[29169,theory(equality)]) ).
cnf(29171,plain,
$false,
inference(sr,[status(thm)],[29170,287,theory(equality)]) ).
cnf(29172,plain,
$false,
29171,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM454+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 : n118.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 04:24:30 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.27 --creating new selector for []
% 0.42/0.70 -running prover on /export/starexec/sandbox/tmp/tmpvRg_dS/sel_theBenchmark.p_1 with time limit 29
% 0.42/0.70 -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/tmpvRg_dS/sel_theBenchmark.p_1']
% 0.42/0.70 -prover status Theorem
% 0.42/0.70 Problem theBenchmark.p solved in phase 0.
% 0.42/0.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.70 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.70 Solved 1 out of 1.
% 0.42/0.70 # Problem is unsatisfiable (or provable), constructing proof object
% 0.42/0.70 # SZS status Theorem
% 0.42/0.70 # SZS output start CNFRefutation.
% See solution above
% 0.53/0.70 # SZS output end CNFRefutation
%------------------------------------------------------------------------------