TSTP Solution File: NUM454+6 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM454+6 : 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 1.20s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 19
% Syntax : Number of formulae : 265 ( 44 unt; 0 def)
% Number of atoms : 970 ( 195 equ)
% Maximal formula atoms : 44 ( 3 avg)
% Number of connectives : 1113 ( 408 ~; 483 |; 197 &)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 250 ( 0 sgn 123 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/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/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',mMulMinOne) ).
fof(7,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',mAddComm) ).
fof(8,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/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/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',mZeroDiv) ).
fof(19,axiom,
( ? [X1] :
( aInteger0(X1)
& equal(sdtasdt0(xp,X1),sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ? [X1] :
( aInteger0(X1)
& equal(sdtasdt0(xp,X1),sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',m__2232) ).
fof(21,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/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/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',mAddNeg) ).
fof(31,conjecture,
( ~ equal(sdtpldt0(sz10,xp),smndt0(sz10))
| ~ equal(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/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/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',mMulAsso) ).
fof(33,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& ~ equal(X2,sz00) )
=> sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',mEquModRef) ).
fof(34,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',mIntMult) ).
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/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',mAddAsso) ).
fof(37,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',mIntNeg) ).
fof(38,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',mIntZero) ).
fof(39,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',mAddZero) ).
fof(40,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/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/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1',mDistrib) ).
fof(48,axiom,
( aInteger0(xp)
& ~ equal(xp,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xp,X2),sdtpldt0(X1,smndt0(sz10))) )
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xp,X2),sdtpldt0(X1,smndt0(sz10))) )
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/tmp/tmpXbiKfz/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(54,plain,
( aInteger0(xp)
& ~ equal(xp,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xp,X2),sdtpldt0(X1,smndt0(sz10))) )
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xp,X2),sdtpldt0(X1,smndt0(sz10))) )
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(fof_simplification,[status(thm)],[48,theory(equality)]) ).
fof(55,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(56,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtasdt0(X2,sz10),X2)
& equal(X2,sdtasdt0(sz10,X2)) ) ),
inference(variable_rename,[status(thm)],[55]) ).
fof(57,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz10),X2)
| ~ aInteger0(X2) )
& ( equal(X2,sdtasdt0(sz10,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[56]) ).
cnf(59,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[57]) ).
fof(72,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(73,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtasdt0(smndt0(sz10),X2),smndt0(X2))
& equal(smndt0(X2),sdtasdt0(X2,smndt0(sz10))) ) ),
inference(variable_rename,[status(thm)],[72]) ).
fof(74,plain,
! [X2] :
( ( equal(sdtasdt0(smndt0(sz10),X2),smndt0(X2))
| ~ aInteger0(X2) )
& ( equal(smndt0(X2),sdtasdt0(X2,smndt0(sz10)))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[73]) ).
cnf(76,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[74]) ).
fof(99,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(100,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| equal(sdtpldt0(X3,X4),sdtpldt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[99]) ).
cnf(101,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[100]) ).
fof(102,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aInteger0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(103,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[102]) ).
cnf(104,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[103]) ).
fof(118,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(119,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ equal(sdtasdt0(X3,X4),sz00)
| equal(X3,sz00)
| equal(X4,sz00) ),
inference(variable_rename,[status(thm)],[118]) ).
cnf(120,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[119]) ).
fof(193,plain,
( ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xp,X2),sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ? [X3] :
( aInteger0(X3)
& equal(sdtasdt0(xp,X3),sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(194,plain,
( aInteger0(esk11_0)
& equal(sdtasdt0(xp,esk11_0),sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aInteger0(esk12_0)
& equal(sdtasdt0(xp,esk12_0),sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(skolemize,[status(esa)],[193]) ).
cnf(198,plain,
sdtasdt0(xp,esk12_0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),
inference(split_conjunct,[status(thm)],[194]) ).
cnf(199,plain,
aInteger0(esk12_0),
inference(split_conjunct,[status(thm)],[194]) ).
cnf(200,plain,
aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(split_conjunct,[status(thm)],[194]) ).
cnf(203,plain,
sdtasdt0(xp,esk11_0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)),
inference(split_conjunct,[status(thm)],[194]) ).
cnf(207,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[21]) ).
fof(276,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtpldt0(X1,smndt0(X1)),sz00)
& equal(sz00,sdtpldt0(smndt0(X1),X1)) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(277,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtpldt0(X2,smndt0(X2)),sz00)
& equal(sz00,sdtpldt0(smndt0(X2),X2)) ) ),
inference(variable_rename,[status(thm)],[276]) ).
fof(278,plain,
! [X2] :
( ( equal(sdtpldt0(X2,smndt0(X2)),sz00)
| ~ aInteger0(X2) )
& ( equal(sz00,sdtpldt0(smndt0(X2),X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[277]) ).
cnf(279,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[278]) ).
cnf(280,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[278]) ).
fof(307,negated_conjecture,
( equal(sdtpldt0(sz10,xp),smndt0(sz10))
& equal(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ),
inference(fof_nnf,[status(thm)],[50]) ).
cnf(308,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
inference(split_conjunct,[status(thm)],[307]) ).
cnf(309,negated_conjecture,
sdtpldt0(sz10,xp) = smndt0(sz10),
inference(split_conjunct,[status(thm)],[307]) ).
fof(310,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(311,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)],[310]) ).
cnf(312,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[311]) ).
fof(313,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| equal(X2,sz00)
| sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(314,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| equal(X4,sz00)
| sdteqdtlpzmzozddtrp0(X3,X3,X4) ),
inference(variable_rename,[status(thm)],[313]) ).
cnf(315,plain,
( sdteqdtlpzmzozddtrp0(X1,X1,X2)
| X2 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[314]) ).
fof(316,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aInteger0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(317,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[316]) ).
cnf(318,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[317]) ).
fof(319,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(320,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)],[319]) ).
cnf(321,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[320]) ).
fof(352,plain,
! [X1] :
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(353,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[352]) ).
cnf(354,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[353]) ).
cnf(355,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[38]) ).
fof(356,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(357,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[356]) ).
fof(358,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aInteger0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[357]) ).
cnf(359,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[358]) ).
cnf(360,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[358]) ).
fof(361,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(362,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[361]) ).
cnf(363,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[362]) ).
fof(377,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(378,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)],[377]) ).
fof(379,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)],[378]) ).
cnf(380,plain,
( sdtasdt0(sdtpldt0(X3,X2),X1) = sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[379]) ).
cnf(381,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[379]) ).
fof(392,plain,
( aInteger0(xp)
& ~ equal(xp,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X1] :
( ( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xp,X2),sdtpldt0(X1,smndt0(sz10))) )
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
& ( ~ aInteger0(X1)
| ( ! [X2] :
( ~ aInteger0(X2)
| ~ equal(sdtasdt0(xp,X2),sdtpldt0(X1,smndt0(sz10))) )
& ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp) )
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ( ~ aInteger0(X1)
| ! [X2] :
( ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) )
| aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( ( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& ! [X1] :
( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(393,plain,
( aInteger0(xp)
& ~ equal(xp,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(xp,X4),sdtpldt0(X3,smndt0(sz10))) )
& aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X3,sz10,xp) ) )
& ( ~ aInteger0(X3)
| ( ! [X5] :
( ~ aInteger0(X5)
| ~ equal(sdtasdt0(xp,X5),sdtpldt0(X3,smndt0(sz10))) )
& ~ aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(X3,sz10,xp) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X6] :
( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
| ( aInteger0(X6)
& ? [X7] :
( aElementOf0(X7,xS)
& aElementOf0(X6,X7) ) ) )
& ( ~ aInteger0(X6)
| ! [X8] :
( ~ aElementOf0(X8,xS)
| ~ aElementOf0(X6,X8) )
| aElementOf0(X6,sbsmnsldt0(xS)) ) )
& ! [X9] :
( ( ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X9)
& ~ aElementOf0(X9,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X9)
| aElementOf0(X9,sbsmnsldt0(xS))
| aElementOf0(X9,stldt0(sbsmnsldt0(xS))) ) )
& ! [X10] :
( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(variable_rename,[status(thm)],[392]) ).
fof(394,plain,
( aInteger0(xp)
& ~ equal(xp,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( aInteger0(X3)
& aInteger0(esk26_1(X3))
& equal(sdtasdt0(xp,esk26_1(X3)),sdtpldt0(X3,smndt0(sz10)))
& aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X3,sz10,xp) ) )
& ( ~ aInteger0(X3)
| ( ! [X5] :
( ~ aInteger0(X5)
| ~ equal(sdtasdt0(xp,X5),sdtpldt0(X3,smndt0(sz10))) )
& ~ aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(X3,sz10,xp) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X6] :
( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
| ( aInteger0(X6)
& aElementOf0(esk27_1(X6),xS)
& aElementOf0(X6,esk27_1(X6)) ) )
& ( ~ aInteger0(X6)
| ! [X8] :
( ~ aElementOf0(X8,xS)
| ~ aElementOf0(X6,X8) )
| aElementOf0(X6,sbsmnsldt0(xS)) ) )
& ! [X9] :
( ( ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X9)
& ~ aElementOf0(X9,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X9)
| aElementOf0(X9,sbsmnsldt0(xS))
| aElementOf0(X9,stldt0(sbsmnsldt0(xS))) ) )
& ! [X10] :
( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(skolemize,[status(esa)],[393]) ).
fof(395,plain,
! [X3,X5,X6,X8,X9,X10] :
( ( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X9)
& ~ aElementOf0(X9,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X9)
| aElementOf0(X9,sbsmnsldt0(xS))
| aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X8,xS)
| ~ aElementOf0(X6,X8)
| ~ aInteger0(X6)
| aElementOf0(X6,sbsmnsldt0(xS)) )
& ( ~ aElementOf0(X6,sbsmnsldt0(xS))
| ( aInteger0(X6)
& aElementOf0(esk27_1(X6),xS)
& aElementOf0(X6,esk27_1(X6)) ) )
& ( ( ( ~ aInteger0(X5)
| ~ equal(sdtasdt0(xp,X5),sdtpldt0(X3,smndt0(sz10))) )
& ~ aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(X3,sz10,xp) )
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( aInteger0(X3)
& aInteger0(esk26_1(X3))
& equal(sdtasdt0(xp,esk26_1(X3)),sdtpldt0(X3,smndt0(sz10)))
& aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X3,sz10,xp) ) )
& aInteger0(xp)
& ~ equal(xp,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aSet0(sbsmnsldt0(xS))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(shift_quantors,[status(thm)],[394]) ).
fof(396,plain,
! [X3,X5,X6,X8,X9,X10] :
( ( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X9,sbsmnsldt0(xS))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X9)
| aElementOf0(X9,sbsmnsldt0(xS))
| aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X8,xS)
| ~ aElementOf0(X6,X8)
| ~ aInteger0(X6)
| aElementOf0(X6,sbsmnsldt0(xS)) )
& ( aInteger0(X6)
| ~ aElementOf0(X6,sbsmnsldt0(xS)) )
& ( aElementOf0(esk27_1(X6),xS)
| ~ aElementOf0(X6,sbsmnsldt0(xS)) )
& ( aElementOf0(X6,esk27_1(X6))
| ~ aElementOf0(X6,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X5)
| ~ equal(sdtasdt0(xp,X5),sdtpldt0(X3,smndt0(sz10)))
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ sdteqdtlpzmzozddtrp0(X3,sz10,xp)
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aInteger0(X3)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aInteger0(esk26_1(X3))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( equal(sdtasdt0(xp,esk26_1(X3)),sdtpldt0(X3,smndt0(sz10)))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( sdteqdtlpzmzozddtrp0(X3,sz10,xp)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aInteger0(xp)
& ~ equal(xp,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aSet0(sbsmnsldt0(xS))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(distribute,[status(thm)],[395]) ).
cnf(400,plain,
xp != sz00,
inference(split_conjunct,[status(thm)],[396]) ).
cnf(401,plain,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[396]) ).
cnf(403,plain,
( aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[396]) ).
cnf(404,plain,
( sdtasdt0(xp,esk26_1(X1)) = sdtpldt0(X1,smndt0(sz10))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[396]) ).
cnf(405,plain,
( aInteger0(esk26_1(X1))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[396]) ).
cnf(406,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[396]) ).
cnf(407,plain,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp) ),
inference(split_conjunct,[status(thm)],[396]) ).
cnf(408,plain,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1)
| ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) ),
inference(split_conjunct,[status(thm)],[396]) ).
cnf(430,plain,
sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtasdt0(xp,esk11_0),
inference(rw,[status(thm)],[203,309,theory(equality)]) ).
cnf(435,plain,
sdtasdt0(xp,esk11_0) = sdtasdt0(xp,esk12_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[198,308,theory(equality)]),430,theory(equality)]) ).
cnf(441,plain,
aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(rw,[status(thm)],[200,309,theory(equality)]) ).
cnf(461,plain,
aInteger0(smndt0(sz10)),
inference(spm,[status(thm)],[406,441,theory(equality)]) ).
cnf(503,plain,
( aDivisorOf0(xp,sz00)
| ~ aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[403,280,theory(equality)]) ).
cnf(512,plain,
( aDivisorOf0(xp,sz00)
| ~ aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| $false ),
inference(rw,[status(thm)],[503,207,theory(equality)]) ).
cnf(513,plain,
( aDivisorOf0(xp,sz00)
| ~ aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cn,[status(thm)],[512,theory(equality)]) ).
cnf(702,plain,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sz00)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[408,280,theory(equality)]) ).
cnf(712,plain,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sz00)
| $false ),
inference(rw,[status(thm)],[702,207,theory(equality)]) ).
cnf(713,plain,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sz00) ),
inference(cn,[status(thm)],[712,theory(equality)]) ).
cnf(783,negated_conjecture,
( sdtpldt0(smndt0(sz10),X1) = sdtpldt0(sz10,sdtpldt0(xp,X1))
| ~ aInteger0(X1)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[321,309,theory(equality)]) ).
cnf(792,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
| ~ aInteger0(X3)
| ~ aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[101,321,theory(equality)]) ).
cnf(801,negated_conjecture,
( sdtpldt0(smndt0(sz10),X1) = sdtpldt0(sz10,sdtpldt0(xp,X1))
| ~ aInteger0(X1)
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[783,401,theory(equality)]) ).
cnf(802,negated_conjecture,
( sdtpldt0(smndt0(sz10),X1) = sdtpldt0(sz10,sdtpldt0(xp,X1))
| ~ aInteger0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[801,207,theory(equality)]) ).
cnf(803,negated_conjecture,
( sdtpldt0(smndt0(sz10),X1) = sdtpldt0(sz10,sdtpldt0(xp,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[802,theory(equality)]) ).
cnf(1004,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[312,76,theory(equality)]) ).
cnf(1010,plain,
( sz00 = X1
| sz00 = sdtasdt0(X2,X3)
| sdtasdt0(X2,sdtasdt0(X3,X1)) != sz00
| ~ aInteger0(sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[120,312,theory(equality)]) ).
cnf(1037,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X1)
| ~ aInteger0(sz10)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[381,59,theory(equality)]) ).
cnf(1067,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X1)
| $false
| ~ aInteger0(X2) ),
inference(rw,[status(thm)],[1037,207,theory(equality)]) ).
cnf(1068,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cn,[status(thm)],[1067,theory(equality)]) ).
cnf(1085,plain,
( sdtpldt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(sdtpldt0(X1,X2),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[380,59,theory(equality)]) ).
cnf(1109,plain,
( sdtasdt0(sdtpldt0(X1,X1),X2) = sdtasdt0(X1,sdtpldt0(X2,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[381,380,theory(equality)]) ).
cnf(1116,plain,
( sdtpldt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(sdtpldt0(X1,X2),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| $false ),
inference(rw,[status(thm)],[1085,207,theory(equality)]) ).
cnf(1117,plain,
( sdtpldt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(sdtpldt0(X1,X2),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cn,[status(thm)],[1116,theory(equality)]) ).
cnf(2671,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(smndt0(sz10),smndt0(xp))
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[803,280,theory(equality)]) ).
cnf(2672,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(X1,xp)) = sdtpldt0(smndt0(sz10),X1)
| ~ aInteger0(X1)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[803,101,theory(equality)]) ).
cnf(2680,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(smndt0(sz10),smndt0(xp))
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[2671,401,theory(equality)]) ).
cnf(2681,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(smndt0(sz10),smndt0(xp))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[2680,theory(equality)]) ).
cnf(2682,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(X1,xp)) = sdtpldt0(smndt0(sz10),X1)
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[2672,401,theory(equality)]) ).
cnf(2683,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(X1,xp)) = sdtpldt0(smndt0(sz10),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[2682,theory(equality)]) ).
cnf(2717,plain,
( aDivisorOf0(xp,sz00)
| ~ sdteqdtlpzmzozddtrp0(sz10,sz10,xp)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[513,407,theory(equality)]) ).
cnf(2718,plain,
( aDivisorOf0(xp,sz00)
| ~ sdteqdtlpzmzozddtrp0(sz10,sz10,xp)
| $false ),
inference(rw,[status(thm)],[2717,207,theory(equality)]) ).
cnf(2719,plain,
( aDivisorOf0(xp,sz00)
| ~ sdteqdtlpzmzozddtrp0(sz10,sz10,xp) ),
inference(cn,[status(thm)],[2718,theory(equality)]) ).
cnf(2833,negated_conjecture,
( sdtpldt0(sz10,smndt0(sz10)) = sdtpldt0(smndt0(sz10),sz10)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[2683,309,theory(equality)]) ).
cnf(2841,negated_conjecture,
( sdtpldt0(sz10,smndt0(sz10)) = sdtpldt0(smndt0(sz10),sz10)
| $false ),
inference(rw,[status(thm)],[2833,207,theory(equality)]) ).
cnf(2842,negated_conjecture,
sdtpldt0(sz10,smndt0(sz10)) = sdtpldt0(smndt0(sz10),sz10),
inference(cn,[status(thm)],[2841,theory(equality)]) ).
cnf(2860,negated_conjecture,
( sdtpldt0(sz10,smndt0(sz10)) = sz00
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[279,2842,theory(equality)]) ).
cnf(2863,negated_conjecture,
( sdtpldt0(sz10,smndt0(sz10)) = sz00
| $false ),
inference(rw,[status(thm)],[2860,207,theory(equality)]) ).
cnf(2864,negated_conjecture,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(cn,[status(thm)],[2863,theory(equality)]) ).
cnf(2874,negated_conjecture,
( sdtpldt0(sz00,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[321,2864,theory(equality)]) ).
cnf(2882,negated_conjecture,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(rw,[status(thm)],[2842,2864,theory(equality)]) ).
cnf(2889,negated_conjecture,
( sdtpldt0(sz00,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X1))
| ~ aInteger0(X1)
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[2874,461,theory(equality)]) ).
cnf(2890,negated_conjecture,
( sdtpldt0(sz00,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X1))
| ~ aInteger0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[2889,207,theory(equality)]) ).
cnf(2891,negated_conjecture,
( sdtpldt0(sz00,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[2890,theory(equality)]) ).
cnf(2905,negated_conjecture,
( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(sz10)
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[321,2882,theory(equality)]) ).
cnf(2918,negated_conjecture,
( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,X1))
| ~ aInteger0(X1)
| $false
| ~ aInteger0(smndt0(sz10)) ),
inference(rw,[status(thm)],[2905,207,theory(equality)]) ).
cnf(2919,negated_conjecture,
( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,X1))
| ~ aInteger0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[2918,461,theory(equality)]) ).
cnf(2920,negated_conjecture,
( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[2919,theory(equality)]) ).
cnf(3060,plain,
( aDivisorOf0(xp,sz00)
| sz00 = xp
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[2719,315,theory(equality)]) ).
cnf(3061,plain,
( aDivisorOf0(xp,sz00)
| sz00 = xp
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[3060,401,theory(equality)]) ).
cnf(3062,plain,
( aDivisorOf0(xp,sz00)
| sz00 = xp
| $false
| $false ),
inference(rw,[status(thm)],[3061,207,theory(equality)]) ).
cnf(3063,plain,
( aDivisorOf0(xp,sz00)
| sz00 = xp ),
inference(cn,[status(thm)],[3062,theory(equality)]) ).
cnf(3064,plain,
aDivisorOf0(xp,sz00),
inference(sr,[status(thm)],[3063,400,theory(equality)]) ).
cnf(3089,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[2891,2882,theory(equality)]) ).
cnf(3098,negated_conjecture,
( sdtpldt0(sz00,xp) = sdtpldt0(smndt0(sz10),smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[2683,2891,theory(equality)]) ).
cnf(3106,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10)
| $false ),
inference(rw,[status(thm)],[3089,207,theory(equality)]) ).
cnf(3107,negated_conjecture,
sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10),
inference(cn,[status(thm)],[3106,theory(equality)]) ).
cnf(3125,negated_conjecture,
( sdtpldt0(sz00,xp) = sdtasdt0(xp,esk11_0)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[3098,430,theory(equality)]) ).
cnf(3126,negated_conjecture,
( sdtpldt0(sz00,xp) = sdtasdt0(xp,esk11_0)
| $false
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[3125,461,theory(equality)]) ).
cnf(3127,negated_conjecture,
( sdtpldt0(sz00,xp) = sdtasdt0(xp,esk11_0)
| $false
| $false ),
inference(rw,[status(thm)],[3126,401,theory(equality)]) ).
cnf(3128,negated_conjecture,
sdtpldt0(sz00,xp) = sdtasdt0(xp,esk11_0),
inference(cn,[status(thm)],[3127,theory(equality)]) ).
cnf(3129,negated_conjecture,
( sdtpldt0(sz00,sz10) = sz10
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[360,3107,theory(equality)]) ).
cnf(3135,negated_conjecture,
( sdtpldt0(smndt0(sz10),smndt0(xp)) = sdtpldt0(sz00,sz10)
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[2681,3107,theory(equality)]) ).
cnf(3136,negated_conjecture,
( sdtpldt0(sz00,sz10) = sz10
| $false ),
inference(rw,[status(thm)],[3129,207,theory(equality)]) ).
cnf(3137,negated_conjecture,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[3136,theory(equality)]) ).
cnf(3149,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz00,sdtpldt0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[321,3137,theory(equality)]) ).
cnf(3156,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz00,sdtpldt0(sz10,X1))
| ~ aInteger0(X1)
| $false
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[3149,207,theory(equality)]) ).
cnf(3157,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz00,sdtpldt0(sz10,X1))
| ~ aInteger0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[3156,355,theory(equality)]) ).
cnf(3158,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz00,sdtpldt0(sz10,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[3157,theory(equality)]) ).
cnf(3159,negated_conjecture,
( sdtpldt0(smndt0(sz10),smndt0(xp)) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[3135,3137,theory(equality)]) ).
cnf(3171,negated_conjecture,
( sdtpldt0(sz10,sz10) = sdtpldt0(sz00,smndt0(xp))
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[2891,3159,theory(equality)]) ).
cnf(3252,plain,
sdtasdt0(xp,esk12_0) = sdtpldt0(sz00,xp),
inference(rw,[status(thm)],[435,3128,theory(equality)]) ).
cnf(3462,negated_conjecture,
( sdtpldt0(sz10,sz10) = smndt0(xp)
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[359,3171,theory(equality)]) ).
cnf(4075,negated_conjecture,
( sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sz00,smndt0(xp))
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[2920,308,theory(equality)]) ).
cnf(4092,negated_conjecture,
( sdtpldt0(sz00,xp) = sdtpldt0(sz00,smndt0(xp))
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4075,430,theory(equality)]),3128,theory(equality)]) ).
cnf(4168,negated_conjecture,
( sdtpldt0(sz00,xp) = smndt0(xp)
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[359,4092,theory(equality)]) ).
cnf(4195,negated_conjecture,
( smndt0(xp) = xp
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[359,4168,theory(equality)]) ).
cnf(4206,negated_conjecture,
( smndt0(xp) = xp
| $false
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[4195,401,theory(equality)]) ).
cnf(4207,negated_conjecture,
( smndt0(xp) = xp
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[4206,theory(equality)]) ).
cnf(4233,negated_conjecture,
( smndt0(xp) = xp
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[4207,354,theory(equality)]) ).
cnf(4235,negated_conjecture,
( smndt0(xp) = xp
| $false ),
inference(rw,[status(thm)],[4233,401,theory(equality)]) ).
cnf(4236,negated_conjecture,
smndt0(xp) = xp,
inference(cn,[status(thm)],[4235,theory(equality)]) ).
cnf(4237,negated_conjecture,
( sdtpldt0(xp,xp) = sz00
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[280,4236,theory(equality)]) ).
cnf(4260,negated_conjecture,
( sdtpldt0(sz00,xp) = xp
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[4168,4236,theory(equality)]) ).
cnf(4261,negated_conjecture,
( sdtpldt0(sz00,xp) = xp
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4260,4236,theory(equality)]),401,theory(equality)]) ).
cnf(4262,negated_conjecture,
sdtpldt0(sz00,xp) = xp,
inference(cn,[status(thm)],[4261,theory(equality)]) ).
cnf(4268,negated_conjecture,
( sdtpldt0(sz10,sz10) = xp
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[3462,4236,theory(equality)]) ).
cnf(4269,negated_conjecture,
( sdtpldt0(sz10,sz10) = xp
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4268,4236,theory(equality)]),401,theory(equality)]) ).
cnf(4270,negated_conjecture,
sdtpldt0(sz10,sz10) = xp,
inference(cn,[status(thm)],[4269,theory(equality)]) ).
cnf(4277,negated_conjecture,
( sdtpldt0(xp,xp) = sz00
| $false ),
inference(rw,[status(thm)],[4237,401,theory(equality)]) ).
cnf(4278,negated_conjecture,
sdtpldt0(xp,xp) = sz00,
inference(cn,[status(thm)],[4277,theory(equality)]) ).
cnf(4331,negated_conjecture,
( sdtpldt0(xp,X1) = sdtpldt0(sz10,sdtpldt0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[321,4270,theory(equality)]) ).
cnf(4346,negated_conjecture,
( sdtpldt0(xp,X1) = sdtpldt0(sz10,sdtpldt0(sz10,X1))
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[4331,207,theory(equality)]) ).
cnf(4347,negated_conjecture,
( sdtpldt0(xp,X1) = sdtpldt0(sz10,sdtpldt0(sz10,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[4346,theory(equality)]) ).
cnf(4384,plain,
sdtasdt0(xp,esk12_0) = xp,
inference(rw,[status(thm)],[3252,4262,theory(equality)]) ).
cnf(4610,negated_conjecture,
( sdtpldt0(sz10,sz10) = sdtpldt0(xp,sz00)
| ~ aInteger0(sz00)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[4347,360,theory(equality)]) ).
cnf(4635,negated_conjecture,
( xp = sdtpldt0(xp,sz00)
| ~ aInteger0(sz00)
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[4610,4270,theory(equality)]) ).
cnf(4636,negated_conjecture,
( xp = sdtpldt0(xp,sz00)
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[4635,355,theory(equality)]) ).
cnf(4637,negated_conjecture,
( xp = sdtpldt0(xp,sz00)
| $false
| $false ),
inference(rw,[status(thm)],[4636,207,theory(equality)]) ).
cnf(4638,negated_conjecture,
xp = sdtpldt0(xp,sz00),
inference(cn,[status(thm)],[4637,theory(equality)]) ).
cnf(4993,plain,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| $false ),
inference(rw,[status(thm)],[713,3064,theory(equality)]) ).
cnf(4994,plain,
aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cn,[status(thm)],[4993,theory(equality)]) ).
cnf(4997,plain,
aInteger0(esk26_1(sz10)),
inference(spm,[status(thm)],[405,4994,theory(equality)]) ).
cnf(4998,plain,
sdtasdt0(xp,esk26_1(sz10)) = sdtpldt0(sz10,smndt0(sz10)),
inference(spm,[status(thm)],[404,4994,theory(equality)]) ).
cnf(5008,plain,
sdtasdt0(xp,esk26_1(sz10)) = sz00,
inference(rw,[status(thm)],[4998,2864,theory(equality)]) ).
cnf(5061,plain,
( sz00 = esk26_1(sz10)
| sz00 = xp
| ~ aInteger0(xp)
| ~ aInteger0(esk26_1(sz10)) ),
inference(spm,[status(thm)],[120,5008,theory(equality)]) ).
cnf(5076,plain,
( sz00 = esk26_1(sz10)
| sz00 = xp
| $false
| ~ aInteger0(esk26_1(sz10)) ),
inference(rw,[status(thm)],[5061,401,theory(equality)]) ).
cnf(5077,plain,
( sz00 = esk26_1(sz10)
| sz00 = xp
| $false
| $false ),
inference(rw,[status(thm)],[5076,4997,theory(equality)]) ).
cnf(5078,plain,
( sz00 = esk26_1(sz10)
| sz00 = xp ),
inference(cn,[status(thm)],[5077,theory(equality)]) ).
cnf(5079,plain,
esk26_1(sz10) = sz00,
inference(sr,[status(thm)],[5078,400,theory(equality)]) ).
cnf(5113,plain,
sdtasdt0(xp,sz00) = sz00,
inference(rw,[status(thm)],[5008,5079,theory(equality)]) ).
cnf(5122,plain,
( sdtpldt0(sdtasdt0(xp,X1),sz00) = sdtasdt0(xp,sdtpldt0(X1,sz00))
| ~ aInteger0(xp)
| ~ aInteger0(X1)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[381,5113,theory(equality)]) ).
cnf(5146,plain,
( sdtpldt0(sdtasdt0(xp,X1),sz00) = sdtasdt0(xp,sdtpldt0(X1,sz00))
| $false
| ~ aInteger0(X1)
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[5122,401,theory(equality)]) ).
cnf(5147,plain,
( sdtpldt0(sdtasdt0(xp,X1),sz00) = sdtasdt0(xp,sdtpldt0(X1,sz00))
| $false
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[5146,355,theory(equality)]) ).
cnf(5148,plain,
( sdtpldt0(sdtasdt0(xp,X1),sz00) = sdtasdt0(xp,sdtpldt0(X1,sz00))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[5147,theory(equality)]) ).
cnf(10456,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X3) ),
inference(csr,[status(thm)],[792,104]) ).
cnf(10533,negated_conjecture,
( sdtpldt0(X1,sdtpldt0(sz00,sz10)) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1)
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[3158,10456,theory(equality)]) ).
cnf(10547,negated_conjecture,
( sdtpldt0(X1,sdtpldt0(sz10,sz10)) = sdtpldt0(xp,X1)
| ~ aInteger0(X1)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[4347,10456,theory(equality)]) ).
cnf(10831,negated_conjecture,
( sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1)
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[10533,3137,theory(equality)]) ).
cnf(10832,negated_conjecture,
( sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1)
| $false
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[10831,207,theory(equality)]) ).
cnf(10833,negated_conjecture,
( sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[10832,355,theory(equality)]) ).
cnf(10834,negated_conjecture,
( sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[10833,theory(equality)]) ).
cnf(10866,negated_conjecture,
( sdtpldt0(X1,xp) = sdtpldt0(xp,X1)
| ~ aInteger0(X1)
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[10547,4270,theory(equality)]) ).
cnf(10867,negated_conjecture,
( sdtpldt0(X1,xp) = sdtpldt0(xp,X1)
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[10866,207,theory(equality)]) ).
cnf(10868,negated_conjecture,
( sdtpldt0(X1,xp) = sdtpldt0(xp,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[10867,theory(equality)]) ).
cnf(19492,negated_conjecture,
( sdtasdt0(xp,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtasdt0(xp,sz10),sz00)
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[5148,10834,theory(equality)]) ).
cnf(19556,negated_conjecture,
( sdtasdt0(xp,sz10) = sdtpldt0(sdtasdt0(xp,sz10),sz00)
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[19492,3137,theory(equality)]) ).
cnf(19557,negated_conjecture,
( sdtasdt0(xp,sz10) = sdtpldt0(sdtasdt0(xp,sz10),sz00)
| $false
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[19556,207,theory(equality)]) ).
cnf(19558,negated_conjecture,
( sdtasdt0(xp,sz10) = sdtpldt0(sdtasdt0(xp,sz10),sz00)
| $false
| $false ),
inference(rw,[status(thm)],[19557,355,theory(equality)]) ).
cnf(19559,negated_conjecture,
sdtasdt0(xp,sz10) = sdtpldt0(sdtasdt0(xp,sz10),sz00),
inference(cn,[status(thm)],[19558,theory(equality)]) ).
cnf(27543,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[1004,461,theory(equality)]) ).
cnf(27544,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[27543,theory(equality)]) ).
cnf(27545,plain,
( sdtasdt0(smndt0(sz10),xp) = sdtasdt0(smndt0(xp),esk12_0)
| ~ aInteger0(esk12_0)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[27544,4384,theory(equality)]) ).
cnf(27629,plain,
( sdtasdt0(smndt0(sz10),xp) = xp
| ~ aInteger0(esk12_0)
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[27545,4236,theory(equality)]),4384,theory(equality)]) ).
cnf(27630,plain,
( sdtasdt0(smndt0(sz10),xp) = xp
| $false
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[27629,199,theory(equality)]) ).
cnf(27631,plain,
( sdtasdt0(smndt0(sz10),xp) = xp
| $false
| $false ),
inference(rw,[status(thm)],[27630,401,theory(equality)]) ).
cnf(27632,plain,
sdtasdt0(smndt0(sz10),xp) = xp,
inference(cn,[status(thm)],[27631,theory(equality)]) ).
cnf(27821,plain,
( xp = sdtasdt0(xp,smndt0(sz10))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[363,27632,theory(equality)]) ).
cnf(27855,plain,
( xp = sdtasdt0(xp,smndt0(sz10))
| $false
| ~ aInteger0(smndt0(sz10)) ),
inference(rw,[status(thm)],[27821,401,theory(equality)]) ).
cnf(27856,plain,
( xp = sdtasdt0(xp,smndt0(sz10))
| $false
| $false ),
inference(rw,[status(thm)],[27855,461,theory(equality)]) ).
cnf(27857,plain,
xp = sdtasdt0(xp,smndt0(sz10)),
inference(cn,[status(thm)],[27856,theory(equality)]) ).
cnf(30179,plain,
( sdtasdt0(X2,X3) = sz00
| sz00 = X1
| sdtasdt0(X2,sdtasdt0(X3,X1)) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(csr,[status(thm)],[1010,318]) ).
cnf(30188,plain,
( sdtasdt0(X1,smndt0(sz10)) = sz00
| sz00 = xp
| sdtasdt0(X1,xp) != sz00
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[30179,27632,theory(equality)]) ).
cnf(30298,plain,
( sdtasdt0(X1,smndt0(sz10)) = sz00
| sz00 = xp
| sdtasdt0(X1,xp) != sz00
| $false
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[30188,401,theory(equality)]) ).
cnf(30299,plain,
( sdtasdt0(X1,smndt0(sz10)) = sz00
| sz00 = xp
| sdtasdt0(X1,xp) != sz00
| $false
| $false
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[30298,461,theory(equality)]) ).
cnf(30300,plain,
( sdtasdt0(X1,smndt0(sz10)) = sz00
| sz00 = xp
| sdtasdt0(X1,xp) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[30299,theory(equality)]) ).
cnf(30301,plain,
( sdtasdt0(X1,smndt0(sz10)) = sz00
| sdtasdt0(X1,xp) != sz00
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[30300,400,theory(equality)]) ).
cnf(33117,plain,
( sz00 = xp
| sdtasdt0(xp,xp) != sz00
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[27857,30301,theory(equality)]) ).
cnf(33183,plain,
( sz00 = xp
| sdtasdt0(xp,xp) != sz00
| $false ),
inference(rw,[status(thm)],[33117,401,theory(equality)]) ).
cnf(33184,plain,
( sz00 = xp
| sdtasdt0(xp,xp) != sz00 ),
inference(cn,[status(thm)],[33183,theory(equality)]) ).
cnf(33185,plain,
sdtasdt0(xp,xp) != sz00,
inference(sr,[status(thm)],[33184,400,theory(equality)]) ).
cnf(33435,plain,
( sdtpldt0(xp,sdtasdt0(xp,sz00)) = sdtpldt0(sdtasdt0(xp,sz10),sz00)
| ~ aInteger0(sz10)
| ~ aInteger0(xp)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[5148,1068,theory(equality)]) ).
cnf(33593,plain,
( xp = sdtpldt0(sdtasdt0(xp,sz10),sz00)
| ~ aInteger0(sz10)
| ~ aInteger0(xp)
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[33435,5113,theory(equality)]),4638,theory(equality)]) ).
cnf(33594,plain,
( xp = sdtasdt0(xp,sz10)
| ~ aInteger0(sz10)
| ~ aInteger0(xp)
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[33593,19559,theory(equality)]) ).
cnf(33595,plain,
( xp = sdtasdt0(xp,sz10)
| $false
| ~ aInteger0(xp)
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[33594,207,theory(equality)]) ).
cnf(33596,plain,
( xp = sdtasdt0(xp,sz10)
| $false
| $false
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[33595,401,theory(equality)]) ).
cnf(33597,plain,
( xp = sdtasdt0(xp,sz10)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[33596,355,theory(equality)]) ).
cnf(33598,plain,
xp = sdtasdt0(xp,sz10),
inference(cn,[status(thm)],[33597,theory(equality)]) ).
cnf(46376,negated_conjecture,
( sdtasdt0(sdtpldt0(xp,X1),sz10) = sdtpldt0(X1,sdtasdt0(xp,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[1117,10868,theory(equality)]) ).
cnf(46662,negated_conjecture,
( sdtasdt0(sdtpldt0(xp,X1),sz10) = sdtpldt0(X1,xp)
| ~ aInteger0(X1)
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[46376,33598,theory(equality)]) ).
cnf(46663,negated_conjecture,
( sdtasdt0(sdtpldt0(xp,X1),sz10) = sdtpldt0(X1,xp)
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[46662,401,theory(equality)]) ).
cnf(46664,negated_conjecture,
( sdtasdt0(sdtpldt0(xp,X1),sz10) = sdtpldt0(X1,xp)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[46663,theory(equality)]) ).
cnf(63754,negated_conjecture,
( sdtasdt0(xp,sdtpldt0(sz10,sz10)) = sdtpldt0(xp,xp)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[46664,1109,theory(equality)]) ).
cnf(64136,negated_conjecture,
( sdtasdt0(xp,xp) = sdtpldt0(xp,xp)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[63754,4270,theory(equality)]) ).
cnf(64137,negated_conjecture,
( sdtasdt0(xp,xp) = sz00
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[64136,4278,theory(equality)]) ).
cnf(64138,negated_conjecture,
( sdtasdt0(xp,xp) = sz00
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[64137,401,theory(equality)]) ).
cnf(64139,negated_conjecture,
( sdtasdt0(xp,xp) = sz00
| $false
| $false ),
inference(rw,[status(thm)],[64138,207,theory(equality)]) ).
cnf(64140,negated_conjecture,
sdtasdt0(xp,xp) = sz00,
inference(cn,[status(thm)],[64139,theory(equality)]) ).
cnf(64141,negated_conjecture,
$false,
inference(sr,[status(thm)],[64140,33185,theory(equality)]) ).
cnf(64142,negated_conjecture,
$false,
64141,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM454+6 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.22 % Computer : n118.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 04:25:45 CST 2018
% 0.02/0.22 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.27 --creating new selector for []
% 1.20/1.47 -running prover on /export/starexec/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1 with time limit 29
% 1.20/1.47 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpXbiKfz/sel_theBenchmark.p_1']
% 1.20/1.47 -prover status Theorem
% 1.20/1.47 Problem theBenchmark.p solved in phase 0.
% 1.20/1.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.20/1.47 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.20/1.47 Solved 1 out of 1.
% 1.20/1.47 # Problem is unsatisfiable (or provable), constructing proof object
% 1.20/1.47 # SZS status Theorem
% 1.20/1.47 # SZS output start CNFRefutation.
% See solution above
% 1.20/1.48 # SZS output end CNFRefutation
%------------------------------------------------------------------------------