TSTP Solution File: NUM443+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM443+4 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n140.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 15:21:21 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 13 unt; 0 def)
% Number of atoms : 466 ( 17 equ)
% Maximal formula atoms : 50 ( 8 avg)
% Number of connectives : 581 ( 171 ~; 186 |; 202 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 47 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(10,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& ~ equal(X3,sz00) )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
=> sdteqdtlpzmzozddtrp0(X2,X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmpujfBzR/sel_theBenchmark.p_1',mEquModSym) ).
fof(15,axiom,
! [X1,X2,X3,X4] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& ~ equal(X3,sz00)
& aInteger0(X4) )
=> ( ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
& sdteqdtlpzmzozddtrp0(X2,X4,X3) )
=> sdteqdtlpzmzozddtrp0(X1,X4,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmpujfBzR/sel_theBenchmark.p_1',mEquModTrn) ).
fof(25,conjecture,
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [X1] :
( aInteger0(X1)
& equal(sdtasdt0(xq,X1),sdtpldt0(xc,smndt0(xb))) )
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xc,xb,xq) )
=> ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpujfBzR/sel_theBenchmark.p_1',m__) ).
fof(29,axiom,
( aInteger0(xb)
& aInteger0(xc) ),
file('/export/starexec/sandbox2/tmp/tmpujfBzR/sel_theBenchmark.p_1',m__2010) ).
fof(43,axiom,
( aInteger0(xa)
& aInteger0(xq)
& ~ equal(xq,sz00) ),
file('/export/starexec/sandbox2/tmp/tmpujfBzR/sel_theBenchmark.p_1',m__1962) ).
fof(44,negated_conjecture,
~ ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [X1] :
( aInteger0(X1)
& equal(sdtasdt0(xq,X1),sdtpldt0(xc,smndt0(xb))) )
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xc,xb,xq) )
=> ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ),
inference(assume_negation,[status(cth)],[25]) ).
fof(46,negated_conjecture,
~ ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [X1] :
( aInteger0(X1)
& equal(sdtasdt0(xq,X1),sdtpldt0(xc,smndt0(xb))) )
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xc,xb,xq) )
=> ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ),
inference(fof_simplification,[status(thm)],[44,theory(equality)]) ).
fof(107,plain,
! [X1,X2,X3] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| equal(X3,sz00)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| sdteqdtlpzmzozddtrp0(X2,X1,X3) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(108,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| equal(X6,sz00)
| ~ sdteqdtlpzmzozddtrp0(X4,X5,X6)
| sdteqdtlpzmzozddtrp0(X5,X4,X6) ),
inference(variable_rename,[status(thm)],[107]) ).
cnf(109,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[108]) ).
fof(127,plain,
! [X1,X2,X3,X4] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| equal(X3,sz00)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X4,X3)
| sdteqdtlpzmzozddtrp0(X1,X4,X3) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(128,plain,
! [X5,X6,X7,X8] :
( ~ aInteger0(X5)
| ~ aInteger0(X6)
| ~ aInteger0(X7)
| equal(X7,sz00)
| ~ aInteger0(X8)
| ~ sdteqdtlpzmzozddtrp0(X5,X6,X7)
| ~ sdteqdtlpzmzozddtrp0(X6,X8,X7)
| sdteqdtlpzmzozddtrp0(X5,X8,X7) ),
inference(variable_rename,[status(thm)],[127]) ).
cnf(129,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[128]) ).
fof(212,negated_conjecture,
( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ~ aInteger0(X1)
| ( ! [X2] :
( ~ aInteger0(X2)
| ~ equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
& ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X1,xa,xq) )
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [X1] :
( aInteger0(X1)
& equal(sdtasdt0(xq,X1),sdtpldt0(xc,smndt0(xb))) )
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ~ aInteger0(X1)
| ( ! [X2] :
( ~ aInteger0(X2)
| ~ equal(sdtasdt0(xq,X2),sdtpldt0(X1,smndt0(xa))) )
& ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X1,xa,xq) )
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(213,negated_conjecture,
( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(xq,X4),sdtpldt0(X3,smndt0(xa))) )
& aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X3,xa,xq) ) )
& ( ~ aInteger0(X3)
| ( ! [X5] :
( ~ aInteger0(X5)
| ~ equal(sdtasdt0(xq,X5),sdtpldt0(X3,smndt0(xa))) )
& ~ aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X3,xa,xq) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [X6] :
( aInteger0(X6)
& equal(sdtasdt0(xq,X6),sdtpldt0(xc,smndt0(xb))) )
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X7] :
( ( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( aInteger0(X7)
& ? [X8] :
( aInteger0(X8)
& equal(sdtasdt0(xq,X8),sdtpldt0(X7,smndt0(xa))) )
& aDivisorOf0(xq,sdtpldt0(X7,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X7,xa,xq) ) )
& ( ~ aInteger0(X7)
| ( ! [X9] :
( ~ aInteger0(X9)
| ~ equal(sdtasdt0(xq,X9),sdtpldt0(X7,smndt0(xa))) )
& ~ aDivisorOf0(xq,sdtpldt0(X7,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X7,xa,xq) )
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(variable_rename,[status(thm)],[212]) ).
fof(214,negated_conjecture,
( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( aInteger0(X3)
& aInteger0(esk14_1(X3))
& equal(sdtasdt0(xq,esk14_1(X3)),sdtpldt0(X3,smndt0(xa)))
& aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X3,xa,xq) ) )
& ( ~ aInteger0(X3)
| ( ! [X5] :
( ~ aInteger0(X5)
| ~ equal(sdtasdt0(xq,X5),sdtpldt0(X3,smndt0(xa))) )
& ~ aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X3,xa,xq) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aInteger0(esk15_0)
& equal(sdtasdt0(xq,esk15_0),sdtpldt0(xc,smndt0(xb)))
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X7] :
( ( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( aInteger0(X7)
& aInteger0(esk16_1(X7))
& equal(sdtasdt0(xq,esk16_1(X7)),sdtpldt0(X7,smndt0(xa)))
& aDivisorOf0(xq,sdtpldt0(X7,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X7,xa,xq) ) )
& ( ~ aInteger0(X7)
| ( ! [X9] :
( ~ aInteger0(X9)
| ~ equal(sdtasdt0(xq,X9),sdtpldt0(X7,smndt0(xa))) )
& ~ aDivisorOf0(xq,sdtpldt0(X7,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X7,xa,xq) )
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(skolemize,[status(esa)],[213]) ).
fof(215,negated_conjecture,
! [X3,X5,X7,X9] :
( ( ( ( ~ aInteger0(X9)
| ~ equal(sdtasdt0(xq,X9),sdtpldt0(X7,smndt0(xa))) )
& ~ aDivisorOf0(xq,sdtpldt0(X7,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X7,xa,xq) )
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( aInteger0(X7)
& aInteger0(esk16_1(X7))
& equal(sdtasdt0(xq,esk16_1(X7)),sdtpldt0(X7,smndt0(xa)))
& aDivisorOf0(xq,sdtpldt0(X7,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X7,xa,xq) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ( ( ( ~ aInteger0(X5)
| ~ equal(sdtasdt0(xq,X5),sdtpldt0(X3,smndt0(xa))) )
& ~ aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X3,xa,xq) )
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( aInteger0(X3)
& aInteger0(esk14_1(X3))
& equal(sdtasdt0(xq,esk14_1(X3)),sdtpldt0(X3,smndt0(xa)))
& aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X3,xa,xq) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aInteger0(esk15_0)
& equal(sdtasdt0(xq,esk15_0),sdtpldt0(xc,smndt0(xb)))
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xc,xb,xq) ),
inference(shift_quantors,[status(thm)],[214]) ).
fof(216,negated_conjecture,
! [X3,X5,X7,X9] :
( ( ~ aInteger0(X9)
| ~ equal(sdtasdt0(xq,X9),sdtpldt0(X7,smndt0(xa)))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aDivisorOf0(xq,sdtpldt0(X7,smndt0(xa)))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ sdteqdtlpzmzozddtrp0(X7,xa,xq)
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aInteger0(X7)
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aInteger0(esk16_1(X7))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( equal(sdtasdt0(xq,esk16_1(X7)),sdtpldt0(X7,smndt0(xa)))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aDivisorOf0(xq,sdtpldt0(X7,smndt0(xa)))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( sdteqdtlpzmzozddtrp0(X7,xa,xq)
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ( ~ aInteger0(X5)
| ~ equal(sdtasdt0(xq,X5),sdtpldt0(X3,smndt0(xa)))
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ sdteqdtlpzmzozddtrp0(X3,xa,xq)
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aInteger0(X3)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aInteger0(esk14_1(X3))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( equal(sdtasdt0(xq,esk14_1(X3)),sdtpldt0(X3,smndt0(xa)))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( sdteqdtlpzmzozddtrp0(X3,xa,xq)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aInteger0(esk15_0)
& equal(sdtasdt0(xq,esk15_0),sdtpldt0(xc,smndt0(xb)))
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xc,xb,xq) ),
inference(distribute,[status(thm)],[215]) ).
cnf(217,negated_conjecture,
sdteqdtlpzmzozddtrp0(xc,xb,xq),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(222,negated_conjecture,
~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(224,negated_conjecture,
( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(228,negated_conjecture,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(229,negated_conjecture,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq) ),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(233,negated_conjecture,
aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(252,plain,
aInteger0(xc),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(253,plain,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(307,plain,
xq != sz00,
inference(split_conjunct,[status(thm)],[43]) ).
cnf(308,plain,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(309,plain,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(607,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xa,X1,xq)
| ~ aInteger0(xq)
| ~ aInteger0(X1)
| ~ aInteger0(xa)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(spm,[status(thm)],[109,224,theory(equality)]) ).
cnf(614,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xa,X1,xq)
| $false
| ~ aInteger0(X1)
| ~ aInteger0(xa)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(rw,[status(thm)],[607,308,theory(equality)]) ).
cnf(615,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xa,X1,xq)
| $false
| ~ aInteger0(X1)
| $false
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(rw,[status(thm)],[614,309,theory(equality)]) ).
cnf(616,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xa,X1,xq)
| ~ aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(cn,[status(thm)],[615,theory(equality)]) ).
cnf(617,negated_conjecture,
( sdteqdtlpzmzozddtrp0(xa,X1,xq)
| ~ aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(sr,[status(thm)],[616,307,theory(equality)]) ).
cnf(825,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(X1,xb,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,xc,xq)
| ~ aInteger0(xc)
| ~ aInteger0(xq)
| ~ aInteger0(xb)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[129,217,theory(equality)]) ).
cnf(828,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(X1,xb,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,xc,xq)
| $false
| ~ aInteger0(xq)
| ~ aInteger0(xb)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[825,252,theory(equality)]) ).
cnf(829,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(X1,xb,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,xc,xq)
| $false
| $false
| ~ aInteger0(xb)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[828,308,theory(equality)]) ).
cnf(830,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(X1,xb,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,xc,xq)
| $false
| $false
| $false
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[829,253,theory(equality)]) ).
cnf(831,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(X1,xb,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,xc,xq)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[830,theory(equality)]) ).
cnf(832,negated_conjecture,
( sdteqdtlpzmzozddtrp0(X1,xb,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,xc,xq)
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[831,307,theory(equality)]) ).
cnf(1139,negated_conjecture,
( sdteqdtlpzmzozddtrp0(xa,X1,xq)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(csr,[status(thm)],[617,228]) ).
cnf(1144,negated_conjecture,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
| ~ aInteger0(xa)
| ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(spm,[status(thm)],[832,1139,theory(equality)]) ).
cnf(1161,negated_conjecture,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
| $false
| ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(rw,[status(thm)],[1144,309,theory(equality)]) ).
cnf(1162,negated_conjecture,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
| $false
| $false ),
inference(rw,[status(thm)],[1161,233,theory(equality)]) ).
cnf(1163,negated_conjecture,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(cn,[status(thm)],[1162,theory(equality)]) ).
cnf(1164,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xb,xa,xq)
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(xb) ),
inference(spm,[status(thm)],[109,1163,theory(equality)]) ).
cnf(1167,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xb,xa,xq)
| $false
| ~ aInteger0(xa)
| ~ aInteger0(xb) ),
inference(rw,[status(thm)],[1164,308,theory(equality)]) ).
cnf(1168,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xb,xa,xq)
| $false
| $false
| ~ aInteger0(xb) ),
inference(rw,[status(thm)],[1167,309,theory(equality)]) ).
cnf(1169,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xb,xa,xq)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1168,253,theory(equality)]) ).
cnf(1170,negated_conjecture,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
inference(cn,[status(thm)],[1169,theory(equality)]) ).
cnf(1171,negated_conjecture,
sdteqdtlpzmzozddtrp0(xb,xa,xq),
inference(sr,[status(thm)],[1170,307,theory(equality)]) ).
cnf(1182,negated_conjecture,
( aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(xb) ),
inference(spm,[status(thm)],[229,1171,theory(equality)]) ).
cnf(1186,negated_conjecture,
( aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| $false ),
inference(rw,[status(thm)],[1182,253,theory(equality)]) ).
cnf(1187,negated_conjecture,
aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(cn,[status(thm)],[1186,theory(equality)]) ).
cnf(1188,negated_conjecture,
$false,
inference(sr,[status(thm)],[1187,222,theory(equality)]) ).
cnf(1189,negated_conjecture,
$false,
1188,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM443+4 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n140.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 05:17:59 CST 2018
% 0.03/0.24 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.07/0.38 -running prover on /export/starexec/sandbox2/tmp/tmpujfBzR/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.38 -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/tmpujfBzR/sel_theBenchmark.p_1']
% 0.07/0.38 -prover status Theorem
% 0.07/0.38 Problem theBenchmark.p solved in phase 0.
% 0.07/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.38 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.38 Solved 1 out of 1.
% 0.07/0.38 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.38 # SZS status Theorem
% 0.07/0.38 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.38 # SZS output end CNFRefutation
%------------------------------------------------------------------------------