TSTP Solution File: NUM453+6 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM453+6 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n061.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 0.46s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 15
% Syntax : Number of formulae : 262 ( 48 unt; 0 def)
% Number of atoms : 1545 ( 243 equ)
% Maximal formula atoms : 116 ( 5 avg)
% Number of connectives : 1864 ( 581 ~; 685 |; 549 &)
% ( 18 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 58 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-2 aty)
% Number of variables : 309 ( 0 sgn 198 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmpSp323f/sel_theBenchmark.p_1',mAddComm) ).
fof(8,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpSp323f/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/tmpSp323f/sel_theBenchmark.p_1',mZeroDiv) ).
fof(18,axiom,
( 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,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& 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,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpSp323f/sel_theBenchmark.p_1',m__2144) ).
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/tmpSp323f/sel_theBenchmark.p_1',m__2232) ).
fof(20,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/tmp/tmpSp323f/sel_theBenchmark.p_1',mIntOne) ).
fof(24,axiom,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( equal(X1,sz10)
| equal(X1,smndt0(sz10)) ) )
& equal(stldt0(sbsmnsldt0(xS)),cS2076) ),
file('/export/starexec/sandbox2/tmp/tmpSp323f/sel_theBenchmark.p_1',m__2079) ).
fof(26,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtpldt0(X1,smndt0(X1)),sz00)
& equal(sz00,sdtpldt0(smndt0(X1),X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpSp323f/sel_theBenchmark.p_1',mAddNeg) ).
fof(30,conjecture,
( ~ equal(sdtpldt0(sz10,xp),sz10)
& ~ equal(sdtpldt0(sz10,smndt0(xp)),sz10) ),
file('/export/starexec/sandbox2/tmp/tmpSp323f/sel_theBenchmark.p_1',m__) ).
fof(32,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& ~ equal(X2,sz00) )
=> sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmpSp323f/sel_theBenchmark.p_1',mEquModRef) ).
fof(34,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> equal(sdtpldt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtpldt0(X1,X2),X3)) ),
file('/export/starexec/sandbox2/tmp/tmpSp323f/sel_theBenchmark.p_1',mAddAsso) ).
fof(36,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmpSp323f/sel_theBenchmark.p_1',mIntNeg) ).
fof(37,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/tmp/tmpSp323f/sel_theBenchmark.p_1',mIntZero) ).
fof(38,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpSp323f/sel_theBenchmark.p_1',mAddZero) ).
fof(47,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/tmpSp323f/sel_theBenchmark.p_1',m__2171) ).
fof(49,negated_conjecture,
~ ( ~ equal(sdtpldt0(sz10,xp),sz10)
& ~ equal(sdtpldt0(sz10,smndt0(xp)),sz10) ),
inference(assume_negation,[status(cth)],[30]) ).
fof(51,plain,
( 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,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& 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,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) ),
inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).
fof(52,plain,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( equal(X1,sz10)
| equal(X1,smndt0(sz10)) ) )
& equal(stldt0(sbsmnsldt0(xS)),cS2076) ),
inference(fof_simplification,[status(thm)],[24,theory(equality)]) ).
fof(53,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)],[47,theory(equality)]) ).
fof(98,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(99,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| equal(sdtpldt0(X3,X4),sdtpldt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[98]) ).
cnf(100,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[99]) ).
fof(101,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aInteger0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(102,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[101]) ).
cnf(103,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[102]) ).
fof(117,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(118,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ equal(sdtasdt0(X3,X4),sz00)
| equal(X3,sz00)
| equal(X4,sz00) ),
inference(variable_rename,[status(thm)],[117]) ).
cnf(119,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[118]) ).
fof(143,plain,
( 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,stldt0(sbsmnsldt0(xS)))
| ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ~ aInteger0(X3)
| ( ! [X4] :
( ~ aInteger0(X4)
| ~ equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& ~ aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& ~ sdteqdtlpzmzozddtrp0(X3,X1,X2) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& 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,stldt0(sbsmnsldt0(xS)))
| ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ~ aInteger0(X3)
| ( ! [X4] :
( ~ aInteger0(X4)
| ~ equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& ~ aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& ~ sdteqdtlpzmzozddtrp0(X3,X1,X2) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(144,plain,
( aSet0(sbsmnsldt0(xS))
& ! [X5] :
( ( ~ aElementOf0(X5,sbsmnsldt0(xS))
| ( aInteger0(X5)
& ? [X6] :
( aElementOf0(X6,xS)
& aElementOf0(X5,X6) ) ) )
& ( ~ aInteger0(X5)
| ! [X7] :
( ~ aElementOf0(X7,xS)
| ~ aElementOf0(X5,X7) )
| aElementOf0(X5,sbsmnsldt0(xS)) ) )
& ! [X8] :
( ( ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X8)
& ~ aElementOf0(X8,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X8)
| aElementOf0(X8,sbsmnsldt0(xS))
| aElementOf0(X8,stldt0(sbsmnsldt0(xS))) ) )
& ! [X9] :
( ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ? [X10] :
( aInteger0(X10)
& ~ equal(X10,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& ! [X11] :
( ( ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10))
| ( aInteger0(X11)
& ? [X12] :
( aInteger0(X12)
& equal(sdtasdt0(X10,X12),sdtpldt0(X11,smndt0(X9))) )
& aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))
& sdteqdtlpzmzozddtrp0(X11,X9,X10) ) )
& ( ~ aInteger0(X11)
| ( ! [X13] :
( ~ aInteger0(X13)
| ~ equal(sdtasdt0(X10,X13),sdtpldt0(X11,smndt0(X9))) )
& ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))
& ~ sdteqdtlpzmzozddtrp0(X11,X9,X10) )
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)) ) )
& ! [X14] :
( ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,X10))
| aElementOf0(X14,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(sbsmnsldt0(xS))) ) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ! [X15] :
( ( ~ aElementOf0(X15,sbsmnsldt0(xS))
| ( aInteger0(X15)
& ? [X16] :
( aElementOf0(X16,xS)
& aElementOf0(X15,X16) ) ) )
& ( ~ aInteger0(X15)
| ! [X17] :
( ~ aElementOf0(X17,xS)
| ~ aElementOf0(X15,X17) )
| aElementOf0(X15,sbsmnsldt0(xS)) ) )
& ! [X18] :
( ( ~ aElementOf0(X18,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X18)
& ~ aElementOf0(X18,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X18)
| aElementOf0(X18,sbsmnsldt0(xS))
| aElementOf0(X18,stldt0(sbsmnsldt0(xS))) ) )
& ! [X19] :
( ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS)))
| ? [X20] :
( aInteger0(X20)
& ~ equal(X20,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X19,X20))
& ! [X21] :
( ( ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,X20))
| ( aInteger0(X21)
& ? [X22] :
( aInteger0(X22)
& equal(sdtasdt0(X20,X22),sdtpldt0(X21,smndt0(X19))) )
& aDivisorOf0(X20,sdtpldt0(X21,smndt0(X19)))
& sdteqdtlpzmzozddtrp0(X21,X19,X20) ) )
& ( ~ aInteger0(X21)
| ( ! [X23] :
( ~ aInteger0(X23)
| ~ equal(sdtasdt0(X20,X23),sdtpldt0(X21,smndt0(X19))) )
& ~ aDivisorOf0(X20,sdtpldt0(X21,smndt0(X19)))
& ~ sdteqdtlpzmzozddtrp0(X21,X19,X20) )
| aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,X20)) ) )
& ! [X24] :
( ~ aElementOf0(X24,szAzrzSzezqlpdtcmdtrp0(X19,X20))
| aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X19,X20),stldt0(sbsmnsldt0(xS))) ) ) ),
inference(variable_rename,[status(thm)],[143]) ).
fof(145,plain,
( aSet0(sbsmnsldt0(xS))
& ! [X5] :
( ( ~ aElementOf0(X5,sbsmnsldt0(xS))
| ( aInteger0(X5)
& aElementOf0(esk5_1(X5),xS)
& aElementOf0(X5,esk5_1(X5)) ) )
& ( ~ aInteger0(X5)
| ! [X7] :
( ~ aElementOf0(X7,xS)
| ~ aElementOf0(X5,X7) )
| aElementOf0(X5,sbsmnsldt0(xS)) ) )
& ! [X8] :
( ( ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X8)
& ~ aElementOf0(X8,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X8)
| aElementOf0(X8,sbsmnsldt0(xS))
| aElementOf0(X8,stldt0(sbsmnsldt0(xS))) ) )
& ! [X9] :
( ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(esk6_1(X9))
& ~ equal(esk6_1(X9),sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
& ! [X11] :
( ( ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ( aInteger0(X11)
& aInteger0(esk7_2(X9,X11))
& equal(sdtasdt0(esk6_1(X9),esk7_2(X9,X11)),sdtpldt0(X11,smndt0(X9)))
& aDivisorOf0(esk6_1(X9),sdtpldt0(X11,smndt0(X9)))
& sdteqdtlpzmzozddtrp0(X11,X9,esk6_1(X9)) ) )
& ( ~ aInteger0(X11)
| ( ! [X13] :
( ~ aInteger0(X13)
| ~ equal(sdtasdt0(esk6_1(X9),X13),sdtpldt0(X11,smndt0(X9))) )
& ~ aDivisorOf0(esk6_1(X9),sdtpldt0(X11,smndt0(X9)))
& ~ sdteqdtlpzmzozddtrp0(X11,X9,esk6_1(X9)) )
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9))) ) )
& ! [X14] :
( ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| aElementOf0(X14,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)),stldt0(sbsmnsldt0(xS))) ) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ! [X15] :
( ( ~ aElementOf0(X15,sbsmnsldt0(xS))
| ( aInteger0(X15)
& aElementOf0(esk8_1(X15),xS)
& aElementOf0(X15,esk8_1(X15)) ) )
& ( ~ aInteger0(X15)
| ! [X17] :
( ~ aElementOf0(X17,xS)
| ~ aElementOf0(X15,X17) )
| aElementOf0(X15,sbsmnsldt0(xS)) ) )
& ! [X18] :
( ( ~ aElementOf0(X18,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X18)
& ~ aElementOf0(X18,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X18)
| aElementOf0(X18,sbsmnsldt0(xS))
| aElementOf0(X18,stldt0(sbsmnsldt0(xS))) ) )
& ! [X19] :
( ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(esk9_1(X19))
& ~ equal(esk9_1(X19),sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
& ! [X21] :
( ( ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ( aInteger0(X21)
& aInteger0(esk10_2(X19,X21))
& equal(sdtasdt0(esk9_1(X19),esk10_2(X19,X21)),sdtpldt0(X21,smndt0(X19)))
& aDivisorOf0(esk9_1(X19),sdtpldt0(X21,smndt0(X19)))
& sdteqdtlpzmzozddtrp0(X21,X19,esk9_1(X19)) ) )
& ( ~ aInteger0(X21)
| ( ! [X23] :
( ~ aInteger0(X23)
| ~ equal(sdtasdt0(esk9_1(X19),X23),sdtpldt0(X21,smndt0(X19))) )
& ~ aDivisorOf0(esk9_1(X19),sdtpldt0(X21,smndt0(X19)))
& ~ sdteqdtlpzmzozddtrp0(X21,X19,esk9_1(X19)) )
| aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19))) ) )
& ! [X24] :
( ~ aElementOf0(X24,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)),stldt0(sbsmnsldt0(xS))) ) ) ),
inference(skolemize,[status(esa)],[144]) ).
fof(146,plain,
! [X5,X7,X8,X9,X11,X13,X14,X15,X17,X18,X19,X21,X23,X24] :
( ( ( ( ~ aElementOf0(X24,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( ( ( ~ aInteger0(X23)
| ~ equal(sdtasdt0(esk9_1(X19),X23),sdtpldt0(X21,smndt0(X19))) )
& ~ aDivisorOf0(esk9_1(X19),sdtpldt0(X21,smndt0(X19)))
& ~ sdteqdtlpzmzozddtrp0(X21,X19,esk9_1(X19)) )
| ~ aInteger0(X21)
| aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19))) )
& ( ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ( aInteger0(X21)
& aInteger0(esk10_2(X19,X21))
& equal(sdtasdt0(esk9_1(X19),esk10_2(X19,X21)),sdtpldt0(X21,smndt0(X19)))
& aDivisorOf0(esk9_1(X19),sdtpldt0(X21,smndt0(X19)))
& sdteqdtlpzmzozddtrp0(X21,X19,esk9_1(X19)) ) )
& aInteger0(esk9_1(X19))
& ~ equal(esk9_1(X19),sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)),stldt0(sbsmnsldt0(xS))) )
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X18,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X18)
& ~ aElementOf0(X18,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X18)
| aElementOf0(X18,sbsmnsldt0(xS))
| aElementOf0(X18,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X17,xS)
| ~ aElementOf0(X15,X17)
| ~ aInteger0(X15)
| aElementOf0(X15,sbsmnsldt0(xS)) )
& ( ~ aElementOf0(X15,sbsmnsldt0(xS))
| ( aInteger0(X15)
& aElementOf0(esk8_1(X15),xS)
& aElementOf0(X15,esk8_1(X15)) ) )
& ( ( ( ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| aElementOf0(X14,stldt0(sbsmnsldt0(xS))) )
& ( ( ( ~ aInteger0(X13)
| ~ equal(sdtasdt0(esk6_1(X9),X13),sdtpldt0(X11,smndt0(X9))) )
& ~ aDivisorOf0(esk6_1(X9),sdtpldt0(X11,smndt0(X9)))
& ~ sdteqdtlpzmzozddtrp0(X11,X9,esk6_1(X9)) )
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9))) )
& ( ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ( aInteger0(X11)
& aInteger0(esk7_2(X9,X11))
& equal(sdtasdt0(esk6_1(X9),esk7_2(X9,X11)),sdtpldt0(X11,smndt0(X9)))
& aDivisorOf0(esk6_1(X9),sdtpldt0(X11,smndt0(X9)))
& sdteqdtlpzmzozddtrp0(X11,X9,esk6_1(X9)) ) )
& aInteger0(esk6_1(X9))
& ~ equal(esk6_1(X9),sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)),stldt0(sbsmnsldt0(xS))) )
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X8)
& ~ aElementOf0(X8,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X8)
| aElementOf0(X8,sbsmnsldt0(xS))
| aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X7,xS)
| ~ aElementOf0(X5,X7)
| ~ aInteger0(X5)
| aElementOf0(X5,sbsmnsldt0(xS)) )
& ( ~ aElementOf0(X5,sbsmnsldt0(xS))
| ( aInteger0(X5)
& aElementOf0(esk5_1(X5),xS)
& aElementOf0(X5,esk5_1(X5)) ) )
& aSet0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS)) ),
inference(shift_quantors,[status(thm)],[145]) ).
fof(147,plain,
! [X5,X7,X8,X9,X11,X13,X14,X15,X17,X18,X19,X21,X23,X24] :
( ( ~ aElementOf0(X24,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| aElementOf0(X24,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X23)
| ~ equal(sdtasdt0(esk9_1(X19),X23),sdtpldt0(X21,smndt0(X19)))
| ~ aInteger0(X21)
| aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( ~ aDivisorOf0(esk9_1(X19),sdtpldt0(X21,smndt0(X19)))
| ~ aInteger0(X21)
| aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( ~ sdteqdtlpzmzozddtrp0(X21,X19,esk9_1(X19))
| ~ aInteger0(X21)
| aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X21)
| ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk10_2(X19,X21))
| ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( equal(sdtasdt0(esk9_1(X19),esk10_2(X19,X21)),sdtpldt0(X21,smndt0(X19)))
| ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( aDivisorOf0(esk9_1(X19),sdtpldt0(X21,smndt0(X19)))
| ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( sdteqdtlpzmzozddtrp0(X21,X19,esk9_1(X19))
| ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk9_1(X19))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( ~ equal(esk9_1(X19),sz00)
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X18)
| ~ aElementOf0(X18,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X18,sbsmnsldt0(xS))
| ~ aElementOf0(X18,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X18)
| aElementOf0(X18,sbsmnsldt0(xS))
| aElementOf0(X18,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X17,xS)
| ~ aElementOf0(X15,X17)
| ~ aInteger0(X15)
| aElementOf0(X15,sbsmnsldt0(xS)) )
& ( aInteger0(X15)
| ~ aElementOf0(X15,sbsmnsldt0(xS)) )
& ( aElementOf0(esk8_1(X15),xS)
| ~ aElementOf0(X15,sbsmnsldt0(xS)) )
& ( aElementOf0(X15,esk8_1(X15))
| ~ aElementOf0(X15,sbsmnsldt0(xS)) )
& ( ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| aElementOf0(X14,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X13)
| ~ equal(sdtasdt0(esk6_1(X9),X13),sdtpldt0(X11,smndt0(X9)))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aDivisorOf0(esk6_1(X9),sdtpldt0(X11,smndt0(X9)))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ sdteqdtlpzmzozddtrp0(X11,X9,esk6_1(X9))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X11)
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk7_2(X9,X11))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( equal(sdtasdt0(esk6_1(X9),esk7_2(X9,X11)),sdtpldt0(X11,smndt0(X9)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aDivisorOf0(esk6_1(X9),sdtpldt0(X11,smndt0(X9)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( sdteqdtlpzmzozddtrp0(X11,X9,esk6_1(X9))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk6_1(X9))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ equal(esk6_1(X9),sz00)
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X8)
| ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X8,sbsmnsldt0(xS))
| ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X8)
| aElementOf0(X8,sbsmnsldt0(xS))
| aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X7,xS)
| ~ aElementOf0(X5,X7)
| ~ aInteger0(X5)
| aElementOf0(X5,sbsmnsldt0(xS)) )
& ( aInteger0(X5)
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( aElementOf0(esk5_1(X5),xS)
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( aElementOf0(X5,esk5_1(X5))
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& aSet0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS)) ),
inference(distribute,[status(thm)],[146]) ).
cnf(158,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[147]) ).
fof(192,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(193,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)],[192]) ).
cnf(194,plain,
aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(split_conjunct,[status(thm)],[193]) ).
cnf(197,plain,
sdtasdt0(xp,esk12_0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),
inference(split_conjunct,[status(thm)],[193]) ).
cnf(198,plain,
aInteger0(esk12_0),
inference(split_conjunct,[status(thm)],[193]) ).
cnf(199,plain,
aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(split_conjunct,[status(thm)],[193]) ).
cnf(201,plain,
aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))),
inference(split_conjunct,[status(thm)],[193]) ).
cnf(202,plain,
sdtasdt0(xp,esk11_0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)),
inference(split_conjunct,[status(thm)],[193]) ).
cnf(204,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[20]) ).
fof(243,plain,
( 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)) ) )
& aSet0(stldt0(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,stldt0(sbsmnsldt0(xS)))
| equal(X1,sz10)
| equal(X1,smndt0(sz10)) )
& ( ( ~ equal(X1,sz10)
& ~ equal(X1,smndt0(sz10)) )
| aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& equal(stldt0(sbsmnsldt0(xS)),cS2076) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(244,plain,
( aSet0(sbsmnsldt0(xS))
& ! [X3] :
( ( ~ aElementOf0(X3,sbsmnsldt0(xS))
| ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,xS)
& aElementOf0(X3,X4) ) ) )
& ( ~ aInteger0(X3)
| ! [X5] :
( ~ aElementOf0(X5,xS)
| ~ aElementOf0(X3,X5) )
| aElementOf0(X3,sbsmnsldt0(xS)) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X6] :
( ( ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X6)
& ~ aElementOf0(X6,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,sbsmnsldt0(xS))
| aElementOf0(X6,stldt0(sbsmnsldt0(xS))) ) )
& ! [X7] :
( ( ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
| equal(X7,sz10)
| equal(X7,smndt0(sz10)) )
& ( ( ~ equal(X7,sz10)
& ~ equal(X7,smndt0(sz10)) )
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) ) )
& equal(stldt0(sbsmnsldt0(xS)),cS2076) ),
inference(variable_rename,[status(thm)],[243]) ).
fof(245,plain,
( aSet0(sbsmnsldt0(xS))
& ! [X3] :
( ( ~ aElementOf0(X3,sbsmnsldt0(xS))
| ( aInteger0(X3)
& aElementOf0(esk19_1(X3),xS)
& aElementOf0(X3,esk19_1(X3)) ) )
& ( ~ aInteger0(X3)
| ! [X5] :
( ~ aElementOf0(X5,xS)
| ~ aElementOf0(X3,X5) )
| aElementOf0(X3,sbsmnsldt0(xS)) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X6] :
( ( ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X6)
& ~ aElementOf0(X6,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,sbsmnsldt0(xS))
| aElementOf0(X6,stldt0(sbsmnsldt0(xS))) ) )
& ! [X7] :
( ( ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
| equal(X7,sz10)
| equal(X7,smndt0(sz10)) )
& ( ( ~ equal(X7,sz10)
& ~ equal(X7,smndt0(sz10)) )
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) ) )
& equal(stldt0(sbsmnsldt0(xS)),cS2076) ),
inference(skolemize,[status(esa)],[244]) ).
fof(246,plain,
! [X3,X5,X6,X7] :
( ( ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
| equal(X7,sz10)
| equal(X7,smndt0(sz10)) )
& ( ( ~ equal(X7,sz10)
& ~ equal(X7,smndt0(sz10)) )
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X6)
& ~ aElementOf0(X6,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,sbsmnsldt0(xS))
| aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X5,xS)
| ~ aElementOf0(X3,X5)
| ~ aInteger0(X3)
| aElementOf0(X3,sbsmnsldt0(xS)) )
& ( ~ aElementOf0(X3,sbsmnsldt0(xS))
| ( aInteger0(X3)
& aElementOf0(esk19_1(X3),xS)
& aElementOf0(X3,esk19_1(X3)) ) )
& aSet0(sbsmnsldt0(xS))
& aSet0(stldt0(sbsmnsldt0(xS)))
& equal(stldt0(sbsmnsldt0(xS)),cS2076) ),
inference(shift_quantors,[status(thm)],[245]) ).
fof(247,plain,
! [X3,X5,X6,X7] :
( ( ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
| equal(X7,sz10)
| equal(X7,smndt0(sz10)) )
& ( ~ equal(X7,sz10)
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& ( ~ equal(X7,smndt0(sz10))
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X6)
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X6,sbsmnsldt0(xS))
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,sbsmnsldt0(xS))
| aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X5,xS)
| ~ aElementOf0(X3,X5)
| ~ aInteger0(X3)
| aElementOf0(X3,sbsmnsldt0(xS)) )
& ( aInteger0(X3)
| ~ aElementOf0(X3,sbsmnsldt0(xS)) )
& ( aElementOf0(esk19_1(X3),xS)
| ~ aElementOf0(X3,sbsmnsldt0(xS)) )
& ( aElementOf0(X3,esk19_1(X3))
| ~ aElementOf0(X3,sbsmnsldt0(xS)) )
& aSet0(sbsmnsldt0(xS))
& aSet0(stldt0(sbsmnsldt0(xS)))
& equal(stldt0(sbsmnsldt0(xS)),cS2076) ),
inference(distribute,[status(thm)],[246]) ).
cnf(248,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(split_conjunct,[status(thm)],[247]) ).
cnf(258,plain,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != smndt0(sz10) ),
inference(split_conjunct,[status(thm)],[247]) ).
fof(273,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtpldt0(X1,smndt0(X1)),sz00)
& equal(sz00,sdtpldt0(smndt0(X1),X1)) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(274,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtpldt0(X2,smndt0(X2)),sz00)
& equal(sz00,sdtpldt0(smndt0(X2),X2)) ) ),
inference(variable_rename,[status(thm)],[273]) ).
fof(275,plain,
! [X2] :
( ( equal(sdtpldt0(X2,smndt0(X2)),sz00)
| ~ aInteger0(X2) )
& ( equal(sz00,sdtpldt0(smndt0(X2),X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[274]) ).
cnf(276,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[275]) ).
cnf(277,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[275]) ).
fof(304,negated_conjecture,
( equal(sdtpldt0(sz10,xp),sz10)
| equal(sdtpldt0(sz10,smndt0(xp)),sz10) ),
inference(fof_nnf,[status(thm)],[49]) ).
cnf(305,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = sz10
| sdtpldt0(sz10,xp) = sz10 ),
inference(split_conjunct,[status(thm)],[304]) ).
fof(309,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| equal(X2,sz00)
| sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(310,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| equal(X4,sz00)
| sdteqdtlpzmzozddtrp0(X3,X3,X4) ),
inference(variable_rename,[status(thm)],[309]) ).
cnf(311,plain,
( sdteqdtlpzmzozddtrp0(X1,X1,X2)
| X2 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[310]) ).
fof(315,plain,
! [X1,X2,X3] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| equal(sdtpldt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtpldt0(X1,X2),X3)) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(316,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)],[315]) ).
cnf(317,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[316]) ).
fof(348,plain,
! [X1] :
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(fof_nnf,[status(thm)],[36]) ).
fof(349,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[348]) ).
cnf(350,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[349]) ).
cnf(351,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[37]) ).
fof(352,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(353,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[352]) ).
fof(354,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aInteger0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[353]) ).
cnf(355,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[354]) ).
cnf(356,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[354]) ).
fof(388,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)],[53]) ).
fof(389,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)],[388]) ).
fof(390,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)],[389]) ).
fof(391,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)],[390]) ).
fof(392,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)],[391]) ).
cnf(396,plain,
xp != sz00,
inference(split_conjunct,[status(thm)],[392]) ).
cnf(397,plain,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[392]) ).
cnf(399,plain,
( aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[392]) ).
cnf(400,plain,
( sdtasdt0(xp,esk26_1(X1)) = sdtpldt0(X1,smndt0(sz10))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[392]) ).
cnf(401,plain,
( aInteger0(esk26_1(X1))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[392]) ).
cnf(402,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[392]) ).
cnf(403,plain,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp) ),
inference(split_conjunct,[status(thm)],[392]) ).
cnf(404,plain,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1)
| ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) ),
inference(split_conjunct,[status(thm)],[392]) ).
cnf(429,negated_conjecture,
( sdtpldt0(sz10,smndt0(sz10)) = sdtasdt0(xp,esk12_0)
| sdtpldt0(sz10,xp) = sz10 ),
inference(spm,[status(thm)],[197,305,theory(equality)]) ).
cnf(431,plain,
aDivisorOf0(xp,sdtasdt0(xp,esk11_0)),
inference(rw,[status(thm)],[201,202,theory(equality)]) ).
cnf(432,plain,
( sz00 = smndt0(sz00)
| ~ aInteger0(smndt0(sz00))
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[355,277,theory(equality)]) ).
cnf(433,plain,
( sz00 = smndt0(sz00)
| ~ aInteger0(smndt0(sz00))
| $false ),
inference(rw,[status(thm)],[432,351,theory(equality)]) ).
cnf(434,plain,
( sz00 = smndt0(sz00)
| ~ aInteger0(smndt0(sz00)) ),
inference(cn,[status(thm)],[433,theory(equality)]) ).
cnf(445,negated_conjecture,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdtpldt0(sz10,xp) = sz10 ),
inference(spm,[status(thm)],[194,305,theory(equality)]) ).
cnf(447,plain,
( aElementOf0(X1,cS2076)
| smndt0(sz10) != X1 ),
inference(rw,[status(thm)],[258,248,theory(equality)]) ).
cnf(449,plain,
aInteger0(sdtpldt0(sz10,xp)),
inference(spm,[status(thm)],[402,199,theory(equality)]) ).
cnf(450,plain,
aInteger0(sdtpldt0(sz10,smndt0(xp))),
inference(spm,[status(thm)],[402,194,theory(equality)]) ).
cnf(466,plain,
( sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))) = sdtasdt0(xp,esk12_0)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp))) ),
inference(spm,[status(thm)],[197,100,theory(equality)]) ).
cnf(482,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,cS2076) ),
inference(rw,[status(thm)],[158,248,theory(equality)]) ).
cnf(484,plain,
( aInteger0(X1)
| smndt0(sz10) != X1 ),
inference(spm,[status(thm)],[482,447,theory(equality)]) ).
cnf(500,plain,
aInteger0(esk26_1(sdtpldt0(sz10,xp))),
inference(spm,[status(thm)],[401,199,theory(equality)]) ).
cnf(501,plain,
aInteger0(esk26_1(sdtpldt0(sz10,smndt0(xp)))),
inference(spm,[status(thm)],[401,194,theory(equality)]) ).
cnf(523,plain,
( aDivisorOf0(xp,sz00)
| ~ aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[399,277,theory(equality)]) ).
cnf(535,plain,
( aDivisorOf0(xp,sz00)
| ~ aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| $false ),
inference(rw,[status(thm)],[523,204,theory(equality)]) ).
cnf(536,plain,
( aDivisorOf0(xp,sz00)
| ~ aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cn,[status(thm)],[535,theory(equality)]) ).
cnf(632,plain,
sdtasdt0(xp,esk26_1(sdtpldt0(sz10,smndt0(xp)))) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),
inference(spm,[status(thm)],[400,194,theory(equality)]) ).
cnf(635,plain,
sdtasdt0(xp,esk26_1(sdtpldt0(sz10,smndt0(xp)))) = sdtasdt0(xp,esk12_0),
inference(rw,[status(thm)],[632,197,theory(equality)]) ).
cnf(705,plain,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sz00)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[404,277,theory(equality)]) ).
cnf(718,plain,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sz00)
| $false ),
inference(rw,[status(thm)],[705,204,theory(equality)]) ).
cnf(719,plain,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sz00) ),
inference(cn,[status(thm)],[718,theory(equality)]) ).
cnf(835,plain,
( sdtpldt0(sdtasdt0(xp,esk11_0),X1) = sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(smndt0(sz10),X1))
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(spm,[status(thm)],[317,202,theory(equality)]) ).
cnf(838,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1))
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[317,305,theory(equality)]) ).
cnf(841,plain,
( sdtpldt0(X1,X2) = sdtpldt0(sz00,sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[317,355,theory(equality)]) ).
cnf(842,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(smndt0(sdtpldt0(X1,X2)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[277,317,theory(equality)]) ).
cnf(843,plain,
( sdtpldt0(sz00,X2) = sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))
| ~ aInteger0(X2)
| ~ aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[317,277,theory(equality)]) ).
cnf(844,plain,
( sdtpldt0(sz00,X2) = sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(X1)) ),
inference(spm,[status(thm)],[317,276,theory(equality)]) ).
cnf(847,plain,
( sdtpldt0(sdtpldt0(X2,X1),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[317,100,theory(equality)]) ).
cnf(859,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1))
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[838,204,theory(equality)]) ).
cnf(860,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1))
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[859,theory(equality)]) ).
cnf(865,plain,
( sdtpldt0(X1,X2) = sdtpldt0(sz00,sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[841,351,theory(equality)]) ).
cnf(866,plain,
( sdtpldt0(X1,X2) = sdtpldt0(sz00,sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[865,theory(equality)]) ).
cnf(2157,negated_conjecture,
( sdtasdt0(xp,esk12_0) = sz00
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[277,429,theory(equality)]) ).
cnf(2169,negated_conjecture,
( sdtasdt0(xp,esk12_0) = sz00
| sdtpldt0(sz10,xp) = sz10
| $false ),
inference(rw,[status(thm)],[2157,204,theory(equality)]) ).
cnf(2170,negated_conjecture,
( sdtasdt0(xp,esk12_0) = sz00
| sdtpldt0(sz10,xp) = sz10 ),
inference(cn,[status(thm)],[2169,theory(equality)]) ).
cnf(2319,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[434,350,theory(equality)]) ).
cnf(2321,plain,
( smndt0(sz00) = sz00
| $false ),
inference(rw,[status(thm)],[2319,351,theory(equality)]) ).
cnf(2322,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[2321,theory(equality)]) ).
cnf(2345,plain,
( sdtpldt0(sz00,sz00) = sz00
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[277,2322,theory(equality)]) ).
cnf(2369,plain,
( sdtpldt0(sz00,sz00) = sz00
| $false ),
inference(rw,[status(thm)],[2345,351,theory(equality)]) ).
cnf(2370,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[2369,theory(equality)]) ).
cnf(2825,negated_conjecture,
( sz00 = esk12_0
| sz00 = xp
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(xp)
| ~ aInteger0(esk12_0) ),
inference(spm,[status(thm)],[119,2170,theory(equality)]) ).
cnf(2839,negated_conjecture,
( sz00 = esk12_0
| sz00 = xp
| sdtpldt0(sz10,xp) = sz10
| $false
| ~ aInteger0(esk12_0) ),
inference(rw,[status(thm)],[2825,397,theory(equality)]) ).
cnf(2840,negated_conjecture,
( sz00 = esk12_0
| sz00 = xp
| sdtpldt0(sz10,xp) = sz10
| $false
| $false ),
inference(rw,[status(thm)],[2839,198,theory(equality)]) ).
cnf(2841,negated_conjecture,
( sz00 = esk12_0
| sz00 = xp
| sdtpldt0(sz10,xp) = sz10 ),
inference(cn,[status(thm)],[2840,theory(equality)]) ).
cnf(2842,negated_conjecture,
( esk12_0 = sz00
| sdtpldt0(sz10,xp) = sz10 ),
inference(sr,[status(thm)],[2841,396,theory(equality)]) ).
cnf(2923,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(xp,X1))
| esk12_0 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[317,2842,theory(equality)]) ).
cnf(2929,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(xp,X1))
| esk12_0 = sz00
| ~ aInteger0(X1)
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[2923,397,theory(equality)]) ).
cnf(2930,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(xp,X1))
| esk12_0 = sz00
| ~ aInteger0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[2929,204,theory(equality)]) ).
cnf(2931,negated_conjecture,
( sdtpldt0(sz10,X1) = sdtpldt0(sz10,sdtpldt0(xp,X1))
| esk12_0 = sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[2930,theory(equality)]) ).
cnf(3068,plain,
aInteger0(smndt0(sz10)),
inference(er,[status(thm)],[484,theory(equality)]) ).
cnf(3185,negated_conjecture,
( aInteger0(esk26_1(sz10))
| sdtpldt0(sz10,xp) = sz10 ),
inference(spm,[status(thm)],[401,445,theory(equality)]) ).
cnf(3236,negated_conjecture,
aInteger0(esk26_1(sz10)),
inference(spm,[status(thm)],[500,3185,theory(equality)]) ).
cnf(3401,plain,
( sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))) = sdtasdt0(xp,esk12_0)
| $false
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp))) ),
inference(rw,[status(thm)],[466,3068,theory(equality)]) ).
cnf(3402,plain,
( sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))) = sdtasdt0(xp,esk12_0)
| $false
| $false ),
inference(rw,[status(thm)],[3401,450,theory(equality)]) ).
cnf(3403,plain,
sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))) = sdtasdt0(xp,esk12_0),
inference(cn,[status(thm)],[3402,theory(equality)]) ).
cnf(3404,negated_conjecture,
( sdtpldt0(smndt0(sz10),sz10) = sdtasdt0(xp,esk12_0)
| sdtpldt0(sz10,xp) = sz10 ),
inference(spm,[status(thm)],[3403,305,theory(equality)]) ).
cnf(3596,plain,
( sz00 = esk26_1(sdtpldt0(sz10,smndt0(xp)))
| sz00 = xp
| sdtasdt0(xp,esk12_0) != sz00
| ~ aInteger0(xp)
| ~ aInteger0(esk26_1(sdtpldt0(sz10,smndt0(xp)))) ),
inference(spm,[status(thm)],[119,635,theory(equality)]) ).
cnf(3615,plain,
( sz00 = esk26_1(sdtpldt0(sz10,smndt0(xp)))
| sz00 = xp
| sdtasdt0(xp,esk12_0) != sz00
| $false
| ~ aInteger0(esk26_1(sdtpldt0(sz10,smndt0(xp)))) ),
inference(rw,[status(thm)],[3596,397,theory(equality)]) ).
cnf(3616,plain,
( sz00 = esk26_1(sdtpldt0(sz10,smndt0(xp)))
| sz00 = xp
| sdtasdt0(xp,esk12_0) != sz00
| $false
| $false ),
inference(rw,[status(thm)],[3615,501,theory(equality)]) ).
cnf(3617,plain,
( sz00 = esk26_1(sdtpldt0(sz10,smndt0(xp)))
| sz00 = xp
| sdtasdt0(xp,esk12_0) != sz00 ),
inference(cn,[status(thm)],[3616,theory(equality)]) ).
cnf(3618,plain,
( esk26_1(sdtpldt0(sz10,smndt0(xp))) = sz00
| sdtasdt0(xp,esk12_0) != sz00 ),
inference(sr,[status(thm)],[3617,396,theory(equality)]) ).
cnf(4186,plain,
( aDivisorOf0(xp,sz00)
| ~ sdteqdtlpzmzozddtrp0(sz10,sz10,xp)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[536,403,theory(equality)]) ).
cnf(4189,plain,
( aDivisorOf0(xp,sz00)
| ~ sdteqdtlpzmzozddtrp0(sz10,sz10,xp)
| $false ),
inference(rw,[status(thm)],[4186,204,theory(equality)]) ).
cnf(4190,plain,
( aDivisorOf0(xp,sz00)
| ~ sdteqdtlpzmzozddtrp0(sz10,sz10,xp) ),
inference(cn,[status(thm)],[4189,theory(equality)]) ).
cnf(4858,negated_conjecture,
( esk26_1(sz10) = sz00
| sdtpldt0(sz10,xp) = sz10
| sdtasdt0(xp,esk12_0) != sz00 ),
inference(spm,[status(thm)],[3618,305,theory(equality)]) ).
cnf(4867,plain,
( aDivisorOf0(xp,sz00)
| sz00 = xp
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[4190,311,theory(equality)]) ).
cnf(4875,plain,
( aDivisorOf0(xp,sz00)
| sz00 = xp
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[4867,397,theory(equality)]) ).
cnf(4876,plain,
( aDivisorOf0(xp,sz00)
| sz00 = xp
| $false
| $false ),
inference(rw,[status(thm)],[4875,204,theory(equality)]) ).
cnf(4877,plain,
( aDivisorOf0(xp,sz00)
| sz00 = xp ),
inference(cn,[status(thm)],[4876,theory(equality)]) ).
cnf(4878,plain,
aDivisorOf0(xp,sz00),
inference(sr,[status(thm)],[4877,396,theory(equality)]) ).
cnf(4900,negated_conjecture,
( sdtpldt0(sz10,xp) = sz10
| esk26_1(sz10) = sz00 ),
inference(csr,[status(thm)],[4858,2170]) ).
cnf(4901,negated_conjecture,
( sdtpldt0(sz10,smndt0(sz10)) = sdtasdt0(xp,esk11_0)
| esk26_1(sz10) = sz00 ),
inference(spm,[status(thm)],[202,4900,theory(equality)]) ).
cnf(4944,negated_conjecture,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| esk26_1(sz10) = sz00
| ~ aDivisorOf0(xp,sdtasdt0(xp,esk11_0))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[404,4901,theory(equality)]) ).
cnf(4965,negated_conjecture,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| esk26_1(sz10) = sz00
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[4944,431,theory(equality)]) ).
cnf(4966,negated_conjecture,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| esk26_1(sz10) = sz00
| $false
| $false ),
inference(rw,[status(thm)],[4965,204,theory(equality)]) ).
cnf(4967,negated_conjecture,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| esk26_1(sz10) = sz00 ),
inference(cn,[status(thm)],[4966,theory(equality)]) ).
cnf(4990,negated_conjecture,
( sdtasdt0(xp,esk26_1(sz10)) = sdtpldt0(sz10,smndt0(sz10))
| esk26_1(sz10) = sz00 ),
inference(spm,[status(thm)],[400,4967,theory(equality)]) ).
cnf(5002,negated_conjecture,
( sz00 = esk26_1(sz10)
| sz00 = xp
| sdtpldt0(sz10,smndt0(sz10)) != sz00
| ~ aInteger0(xp)
| ~ aInteger0(esk26_1(sz10)) ),
inference(spm,[status(thm)],[119,4990,theory(equality)]) ).
cnf(5017,negated_conjecture,
( sz00 = esk26_1(sz10)
| sz00 = xp
| sdtpldt0(sz10,smndt0(sz10)) != sz00
| $false
| ~ aInteger0(esk26_1(sz10)) ),
inference(rw,[status(thm)],[5002,397,theory(equality)]) ).
cnf(5018,negated_conjecture,
( sz00 = esk26_1(sz10)
| sz00 = xp
| sdtpldt0(sz10,smndt0(sz10)) != sz00
| $false
| $false ),
inference(rw,[status(thm)],[5017,3236,theory(equality)]) ).
cnf(5019,negated_conjecture,
( sz00 = esk26_1(sz10)
| sz00 = xp
| sdtpldt0(sz10,smndt0(sz10)) != sz00 ),
inference(cn,[status(thm)],[5018,theory(equality)]) ).
cnf(5020,negated_conjecture,
( esk26_1(sz10) = sz00
| sdtpldt0(sz10,smndt0(sz10)) != sz00 ),
inference(sr,[status(thm)],[5019,396,theory(equality)]) ).
cnf(5054,negated_conjecture,
( esk26_1(sz10) = sz00
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[5020,277,theory(equality)]) ).
cnf(5063,negated_conjecture,
( esk26_1(sz10) = sz00
| $false ),
inference(rw,[status(thm)],[5054,204,theory(equality)]) ).
cnf(5064,negated_conjecture,
esk26_1(sz10) = sz00,
inference(cn,[status(thm)],[5063,theory(equality)]) ).
cnf(5773,plain,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| $false ),
inference(rw,[status(thm)],[719,4878,theory(equality)]) ).
cnf(5774,plain,
aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cn,[status(thm)],[5773,theory(equality)]) ).
cnf(5778,plain,
sdtasdt0(xp,esk26_1(sz10)) = sdtpldt0(sz10,smndt0(sz10)),
inference(spm,[status(thm)],[400,5774,theory(equality)]) ).
cnf(5788,plain,
sdtasdt0(xp,sz00) = sdtpldt0(sz10,smndt0(sz10)),
inference(rw,[status(thm)],[5778,5064,theory(equality)]) ).
cnf(5852,plain,
( sdtasdt0(xp,sz00) = sz00
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[277,5788,theory(equality)]) ).
cnf(5873,plain,
( sdtasdt0(xp,sz00) = sz00
| $false ),
inference(rw,[status(thm)],[5852,204,theory(equality)]) ).
cnf(5874,plain,
sdtasdt0(xp,sz00) = sz00,
inference(cn,[status(thm)],[5873,theory(equality)]) ).
cnf(6074,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(X1,xp)) = sdtpldt0(sz10,X1)
| esk12_0 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[2931,100,theory(equality)]) ).
cnf(6083,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(X1,xp)) = sdtpldt0(sz10,X1)
| esk12_0 = sz00
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[6074,397,theory(equality)]) ).
cnf(6084,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(X1,xp)) = sdtpldt0(sz10,X1)
| esk12_0 = sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[6083,theory(equality)]) ).
cnf(11139,plain,
( sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(smndt0(sz10),X1)) = sdtpldt0(sdtasdt0(xp,esk11_0),X1)
| ~ aInteger0(X1)
| $false
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(rw,[status(thm)],[835,3068,theory(equality)]) ).
cnf(11140,plain,
( sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(smndt0(sz10),X1)) = sdtpldt0(sdtasdt0(xp,esk11_0),X1)
| ~ aInteger0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[11139,449,theory(equality)]) ).
cnf(11141,plain,
( sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(smndt0(sz10),X1)) = sdtpldt0(sdtasdt0(xp,esk11_0),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[11140,theory(equality)]) ).
cnf(11146,plain,
( sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sdtasdt0(xp,esk11_0),sz10)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[11141,276,theory(equality)]) ).
cnf(11188,plain,
( sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sdtasdt0(xp,esk11_0),sz10)
| $false ),
inference(rw,[status(thm)],[11146,204,theory(equality)]) ).
cnf(11189,plain,
sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sdtasdt0(xp,esk11_0),sz10),
inference(cn,[status(thm)],[11188,theory(equality)]) ).
cnf(12194,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[842,350]) ).
cnf(12195,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[12194,103]) ).
cnf(12619,plain,
( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(csr,[status(thm)],[843,350]) ).
cnf(12644,negated_conjecture,
( sdtpldt0(sz00,xp) = sdtpldt0(sz10,smndt0(sz10))
| esk12_0 = sz00
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[6084,12619,theory(equality)]) ).
cnf(12719,negated_conjecture,
( sdtpldt0(sz00,xp) = sz00
| esk12_0 = sz00
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12644,5788,theory(equality)]),5874,theory(equality)]) ).
cnf(12720,negated_conjecture,
( sdtpldt0(sz00,xp) = sz00
| esk12_0 = sz00
| $false
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[12719,3068,theory(equality)]) ).
cnf(12721,negated_conjecture,
( sdtpldt0(sz00,xp) = sz00
| esk12_0 = sz00
| $false
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[12720,397,theory(equality)]) ).
cnf(12722,negated_conjecture,
( sdtpldt0(sz00,xp) = sz00
| esk12_0 = sz00
| $false
| $false
| $false ),
inference(rw,[status(thm)],[12721,204,theory(equality)]) ).
cnf(12723,negated_conjecture,
( sdtpldt0(sz00,xp) = sz00
| esk12_0 = sz00 ),
inference(cn,[status(thm)],[12722,theory(equality)]) ).
cnf(12820,negated_conjecture,
( sz00 = xp
| esk12_0 = sz00
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[355,12723,theory(equality)]) ).
cnf(12828,negated_conjecture,
( sz00 = xp
| esk12_0 = sz00
| $false ),
inference(rw,[status(thm)],[12820,397,theory(equality)]) ).
cnf(12829,negated_conjecture,
( sz00 = xp
| esk12_0 = sz00 ),
inference(cn,[status(thm)],[12828,theory(equality)]) ).
cnf(12830,negated_conjecture,
esk12_0 = sz00,
inference(sr,[status(thm)],[12829,396,theory(equality)]) ).
cnf(12928,negated_conjecture,
( sdtpldt0(smndt0(sz10),sz10) = sz00
| sdtpldt0(sz10,xp) = sz10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3404,12830,theory(equality)]),5874,theory(equality)]) ).
cnf(12949,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[12619,12928,theory(equality)]) ).
cnf(12983,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10)
| sdtpldt0(sz10,xp) = sz10
| $false ),
inference(rw,[status(thm)],[12949,204,theory(equality)]) ).
cnf(12984,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10)
| sdtpldt0(sz10,xp) = sz10 ),
inference(cn,[status(thm)],[12983,theory(equality)]) ).
cnf(13156,negated_conjecture,
( sdtpldt0(sz00,sz10) = sz10
| sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[866,12984,theory(equality)]) ).
cnf(13175,negated_conjecture,
( sdtpldt0(sz00,sz10) = sz10
| sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10)
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[13156,397,theory(equality)]) ).
cnf(13176,negated_conjecture,
( sdtpldt0(sz00,sz10) = sz10
| sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10)
| $false
| $false ),
inference(rw,[status(thm)],[13175,204,theory(equality)]) ).
cnf(13177,negated_conjecture,
( sdtpldt0(sz00,sz10) = sz10
| sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10) ),
inference(cn,[status(thm)],[13176,theory(equality)]) ).
cnf(13182,negated_conjecture,
( sdtpldt0(sz00,sz10) = sz10
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[356,13177,theory(equality)]) ).
cnf(13204,negated_conjecture,
( sdtpldt0(sz00,sz10) = sz10
| $false ),
inference(rw,[status(thm)],[13182,204,theory(equality)]) ).
cnf(13205,negated_conjecture,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[13204,theory(equality)]) ).
cnf(13258,negated_conjecture,
( sdtpldt0(sz10,sz00) = sz10
| sdtpldt0(sz10,xp) = sz10 ),
inference(rw,[status(thm)],[12984,13205,theory(equality)]) ).
cnf(13999,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[844,350]) ).
cnf(15123,plain,
( sdtpldt0(xp,sdtpldt0(sz10,smndt0(sz10))) = sdtasdt0(xp,esk11_0)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sz10)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[202,847,theory(equality)]) ).
cnf(15243,plain,
( sdtpldt0(xp,sz00) = sdtasdt0(xp,esk11_0)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sz10)
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15123,5788,theory(equality)]),5874,theory(equality)]) ).
cnf(15244,plain,
( sdtpldt0(xp,sz00) = sdtasdt0(xp,esk11_0)
| $false
| ~ aInteger0(sz10)
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[15243,3068,theory(equality)]) ).
cnf(15245,plain,
( sdtpldt0(xp,sz00) = sdtasdt0(xp,esk11_0)
| $false
| $false
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[15244,204,theory(equality)]) ).
cnf(15246,plain,
( sdtpldt0(xp,sz00) = sdtasdt0(xp,esk11_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[15245,397,theory(equality)]) ).
cnf(15247,plain,
sdtpldt0(xp,sz00) = sdtasdt0(xp,esk11_0),
inference(cn,[status(thm)],[15246,theory(equality)]) ).
cnf(15450,plain,
sdtpldt0(sdtpldt0(xp,sz00),sz10) = sdtpldt0(sdtpldt0(sz10,xp),sz00),
inference(rw,[status(thm)],[11189,15247,theory(equality)]) ).
cnf(15462,plain,
( sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(smndt0(sz10),X1)) = sdtpldt0(sdtpldt0(xp,sz00),X1)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[11141,15247,theory(equality)]) ).
cnf(15546,plain,
( sdtpldt0(xp,sz10) = sdtpldt0(sdtpldt0(sz10,xp),sz00)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[15450,356,theory(equality)]) ).
cnf(15561,plain,
( sdtpldt0(xp,sz10) = sdtpldt0(sdtpldt0(sz10,xp),sz00)
| $false ),
inference(rw,[status(thm)],[15546,397,theory(equality)]) ).
cnf(15562,plain,
sdtpldt0(xp,sz10) = sdtpldt0(sdtpldt0(sz10,xp),sz00),
inference(cn,[status(thm)],[15561,theory(equality)]) ).
cnf(15611,plain,
( sdtpldt0(xp,sz10) = sdtpldt0(sz10,xp)
| ~ aInteger0(sdtpldt0(sz10,xp)) ),
inference(spm,[status(thm)],[356,15562,theory(equality)]) ).
cnf(15642,plain,
( sdtpldt0(xp,sz10) = sdtpldt0(sz10,xp)
| $false ),
inference(rw,[status(thm)],[15611,449,theory(equality)]) ).
cnf(15643,plain,
sdtpldt0(xp,sz10) = sdtpldt0(sz10,xp),
inference(cn,[status(thm)],[15642,theory(equality)]) ).
cnf(15699,plain,
( sdtpldt0(xp,sdtpldt0(sz10,smndt0(sdtpldt0(sz10,xp)))) = sz00
| ~ aInteger0(sz10)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[12195,15643,theory(equality)]) ).
cnf(15722,plain,
( sdtpldt0(xp,sdtpldt0(sz10,smndt0(sdtpldt0(sz10,xp)))) = sz00
| $false
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[15699,204,theory(equality)]) ).
cnf(15723,plain,
( sdtpldt0(xp,sdtpldt0(sz10,smndt0(sdtpldt0(sz10,xp)))) = sz00
| $false
| $false ),
inference(rw,[status(thm)],[15722,397,theory(equality)]) ).
cnf(15724,plain,
sdtpldt0(xp,sdtpldt0(sz10,smndt0(sdtpldt0(sz10,xp)))) = sz00,
inference(cn,[status(thm)],[15723,theory(equality)]) ).
cnf(15843,plain,
( sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) = sdtpldt0(sdtpldt0(xp,sz00),sz00)
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[15462,356,theory(equality)]) ).
cnf(15887,plain,
( sdtpldt0(xp,sz00) = sdtpldt0(sdtpldt0(xp,sz00),sz00)
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sz10)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15843,202,theory(equality)]),15247,theory(equality)]) ).
cnf(15888,plain,
( sdtpldt0(xp,sz00) = sdtpldt0(sdtpldt0(xp,sz00),sz00)
| $false
| ~ aInteger0(smndt0(sz10)) ),
inference(rw,[status(thm)],[15887,351,theory(equality)]) ).
cnf(15889,plain,
( sdtpldt0(xp,sz00) = sdtpldt0(sdtpldt0(xp,sz00),sz00)
| $false
| $false ),
inference(rw,[status(thm)],[15888,3068,theory(equality)]) ).
cnf(15890,plain,
sdtpldt0(xp,sz00) = sdtpldt0(sdtpldt0(xp,sz00),sz00),
inference(cn,[status(thm)],[15889,theory(equality)]) ).
cnf(17097,negated_conjecture,
( sdtpldt0(xp,sdtpldt0(sz10,smndt0(sz10))) = sz00
| sdtpldt0(sz10,sz00) = sz10 ),
inference(spm,[status(thm)],[15724,13258,theory(equality)]) ).
cnf(17121,negated_conjecture,
( sdtpldt0(xp,sz00) = sz00
| sdtpldt0(sz10,sz00) = sz10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17097,5788,theory(equality)]),5874,theory(equality)]) ).
cnf(17292,negated_conjecture,
( sz00 = xp
| sdtpldt0(sz10,sz00) = sz10
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[356,17121,theory(equality)]) ).
cnf(17318,negated_conjecture,
( sz00 = xp
| sdtpldt0(sz10,sz00) = sz10
| $false ),
inference(rw,[status(thm)],[17292,397,theory(equality)]) ).
cnf(17319,negated_conjecture,
( sz00 = xp
| sdtpldt0(sz10,sz00) = sz10 ),
inference(cn,[status(thm)],[17318,theory(equality)]) ).
cnf(17320,negated_conjecture,
sdtpldt0(sz10,sz00) = sz10,
inference(sr,[status(thm)],[17319,396,theory(equality)]) ).
cnf(19015,plain,
( sdtpldt0(xp,sz00) = xp
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[15890,356,theory(equality)]) ).
cnf(19039,plain,
( sdtpldt0(xp,sz00) = xp
| $false ),
inference(rw,[status(thm)],[19015,397,theory(equality)]) ).
cnf(19040,plain,
sdtpldt0(xp,sz00) = xp,
inference(cn,[status(thm)],[19039,theory(equality)]) ).
cnf(19116,plain,
( sdtpldt0(smndt0(xp),xp) = sdtpldt0(sz00,sz00)
| ~ aInteger0(sz00)
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[13999,19040,theory(equality)]) ).
cnf(19175,plain,
( sdtpldt0(smndt0(xp),xp) = sz00
| ~ aInteger0(sz00)
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[19116,2370,theory(equality)]) ).
cnf(19176,plain,
( sdtpldt0(smndt0(xp),xp) = sz00
| $false
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[19175,351,theory(equality)]) ).
cnf(19177,plain,
( sdtpldt0(smndt0(xp),xp) = sz00
| $false
| $false ),
inference(rw,[status(thm)],[19176,397,theory(equality)]) ).
cnf(19178,plain,
sdtpldt0(smndt0(xp),xp) = sz00,
inference(cn,[status(thm)],[19177,theory(equality)]) ).
cnf(19373,plain,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz10,xp)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(xp) ),
inference(spm,[status(thm)],[860,19178,theory(equality)]) ).
cnf(19394,plain,
( sz10 = sdtpldt0(sz10,xp)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(xp) ),
inference(rw,[status(thm)],[19373,17320,theory(equality)]) ).
cnf(19395,plain,
( sz10 = sdtpldt0(sz10,xp)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp))
| $false ),
inference(rw,[status(thm)],[19394,397,theory(equality)]) ).
cnf(19396,plain,
( sz10 = sdtpldt0(sz10,xp)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[19395,theory(equality)]) ).
cnf(19430,plain,
( sdtpldt0(xp,sdtpldt0(sz10,smndt0(sz10))) = sz00
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[15724,19396,theory(equality)]) ).
cnf(19455,plain,
( xp = sz00
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19430,5788,theory(equality)]),5874,theory(equality)]),19040,theory(equality)]) ).
cnf(19456,plain,
~ aInteger0(smndt0(xp)),
inference(sr,[status(thm)],[19455,396,theory(equality)]) ).
cnf(19497,plain,
~ aInteger0(xp),
inference(spm,[status(thm)],[19456,350,theory(equality)]) ).
cnf(19499,plain,
$false,
inference(rw,[status(thm)],[19497,397,theory(equality)]) ).
cnf(19500,plain,
$false,
inference(cn,[status(thm)],[19499,theory(equality)]) ).
cnf(19501,plain,
$false,
19500,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM453+6 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.05 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.24 % Computer : n061.star.cs.uiowa.edu
% 0.02/0.24 % Model : x86_64 x86_64
% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24 % Memory : 32218.625MB
% 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24 % CPULimit : 300
% 0.02/0.24 % DateTime : Fri Jan 5 05:18:00 CST 2018
% 0.02/0.24 % CPUTime :
% 0.06/0.29 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.29 --creating new selector for []
% 0.46/0.79 -running prover on /export/starexec/sandbox2/tmp/tmpSp323f/sel_theBenchmark.p_1 with time limit 29
% 0.46/0.79 -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/tmpSp323f/sel_theBenchmark.p_1']
% 0.46/0.79 -prover status Theorem
% 0.46/0.79 Problem theBenchmark.p solved in phase 0.
% 0.46/0.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.79 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.79 Solved 1 out of 1.
% 0.46/0.79 # Problem is unsatisfiable (or provable), constructing proof object
% 0.46/0.79 # SZS status Theorem
% 0.46/0.79 # SZS output start CNFRefutation.
% See solution above
% 0.46/0.79 # SZS output end CNFRefutation
%------------------------------------------------------------------------------