TSTP Solution File: NUM456+6 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM456+6 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n114.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 15:21:24 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 429 ( 10 equ)
% Maximal formula atoms : 44 ( 13 avg)
% Number of connectives : 557 ( 159 ~; 140 |; 242 &)
% ( 10 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 64 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(14,axiom,
? [X1] :
( 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))
& ~ ( equal(X1,sz10)
| equal(X1,smndt0(sz10))
| aElementOf0(X1,cS2200) ) ),
file('/export/starexec/sandbox/tmp/tmp7XmH1H/sel_theBenchmark.p_1',m__2203) ).
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/sandbox/tmp/tmp7XmH1H/sel_theBenchmark.p_1',m__2079) ).
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/sandbox/tmp/tmp7XmH1H/sel_theBenchmark.p_1',m__2171) ).
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(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)],[47,theory(equality)]) ).
fof(125,plain,
? [X1] :
( 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))
& ~ equal(X1,sz10)
& ~ equal(X1,smndt0(sz10))
& ~ aElementOf0(X1,cS2200) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(126,plain,
? [X3] :
( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(xp,X4),sdtpldt0(X3,smndt0(sz10))) )
& aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X3,sz10,xp)
& aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ~ equal(X3,sz10)
& ~ equal(X3,smndt0(sz10))
& ~ aElementOf0(X3,cS2200) ),
inference(variable_rename,[status(thm)],[125]) ).
fof(127,plain,
( aInteger0(esk4_0)
& aInteger0(esk5_0)
& equal(sdtasdt0(xp,esk5_0),sdtpldt0(esk4_0,smndt0(sz10)))
& aDivisorOf0(xp,sdtpldt0(esk4_0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(esk4_0,sz10,xp)
& aElementOf0(esk4_0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ~ equal(esk4_0,sz10)
& ~ equal(esk4_0,smndt0(sz10))
& ~ aElementOf0(esk4_0,cS2200) ),
inference(skolemize,[status(esa)],[126]) ).
cnf(129,plain,
esk4_0 != smndt0(sz10),
inference(split_conjunct,[status(thm)],[127]) ).
cnf(130,plain,
esk4_0 != sz10,
inference(split_conjunct,[status(thm)],[127]) ).
cnf(131,plain,
aElementOf0(esk4_0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(split_conjunct,[status(thm)],[127]) ).
fof(244,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(245,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)],[244]) ).
fof(246,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)],[245]) ).
fof(247,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)],[246]) ).
fof(248,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)],[247]) ).
cnf(249,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(split_conjunct,[status(thm)],[248]) ).
cnf(261,plain,
( X1 = smndt0(sz10)
| X1 = sz10
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[248]) ).
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)],[54]) ).
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(413,plain,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[392]) ).
cnf(494,plain,
( sz10 = X1
| smndt0(sz10) = X1
| ~ aElementOf0(X1,cS2076) ),
inference(rw,[status(thm)],[261,249,theory(equality)]) ).
cnf(622,plain,
( aElementOf0(X1,cS2076)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(rw,[status(thm)],[413,249,theory(equality)]) ).
cnf(623,plain,
aElementOf0(esk4_0,cS2076),
inference(spm,[status(thm)],[622,131,theory(equality)]) ).
cnf(2080,plain,
( smndt0(sz10) = esk4_0
| sz10 = esk4_0 ),
inference(spm,[status(thm)],[494,623,theory(equality)]) ).
cnf(2085,plain,
esk4_0 = sz10,
inference(sr,[status(thm)],[2080,129,theory(equality)]) ).
cnf(2086,plain,
$false,
inference(sr,[status(thm)],[2085,130,theory(equality)]) ).
cnf(2087,plain,
$false,
2086,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM456+6 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n114.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 04:29:14 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.28 --creating new selector for []
% 0.07/0.41 -running prover on /export/starexec/sandbox/tmp/tmp7XmH1H/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.41 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmp7XmH1H/sel_theBenchmark.p_1']
% 0.07/0.41 -prover status Theorem
% 0.07/0.41 Problem theBenchmark.p solved in phase 0.
% 0.07/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.41 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.41 Solved 1 out of 1.
% 0.07/0.41 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.41 # SZS status Theorem
% 0.07/0.41 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.41 # SZS output end CNFRefutation
%------------------------------------------------------------------------------