%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM427+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n113.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 15:21:18 EST 2018
% Result : Theorem 0.34s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 18
% Syntax : Number of formulae : 160 ( 34 unt; 0 def)
% Number of atoms : 540 ( 79 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 615 ( 235 ~; 307 |; 59 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 140 ( 0 sgn 81 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mMulOne) ).
fof(2,axiom,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& ~ equal(xq,sz00) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',m__704) ).
fof(3,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtasdt0(smndt0(sz10),X1),smndt0(X1))
& equal(smndt0(X1),sdtasdt0(X1,smndt0(sz10))) ) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mMulMinOne) ).
fof(4,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mMulZero) ).
fof(7,axiom,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aInteger0(X2)
& ~ equal(X2,sz00)
& ? [X3] :
( aInteger0(X3)
& equal(sdtasdt0(X2,X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mDivisor) ).
fof(8,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( equal(sdtasdt0(X1,X2),sz00)
=> ( equal(X1,sz00)
| equal(X2,sz00) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mZeroDiv) ).
fof(9,axiom,
( aInteger0(xn)
& equal(sdtasdt0(xq,xn),sdtpldt0(xa,smndt0(xb))) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',m__747) ).
fof(10,axiom,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',m__724) ).
fof(11,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mIntOne) ).
fof(13,conjecture,
sdteqdtlpzmzozddtrp0(xb,xa,xq),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',m__) ).
fof(14,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> equal(sdtasdt0(X1,sdtasdt0(X2,X3)),sdtasdt0(sdtasdt0(X1,X2),X3)) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mMulAsso) ).
fof(16,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mIntMult) ).
fof(18,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mIntNeg) ).
fof(19,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mIntZero) ).
fof(20,axiom,
equal(sdtasdt0(xq,smndt0(xn)),sdtpldt0(xb,smndt0(xa))),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',m__767) ).
fof(21,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mAddZero) ).
fof(23,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& ~ equal(X3,sz00) )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mEquMod) ).
fof(25,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> ( equal(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
& equal(sdtasdt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))) ) ),
file('/export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1',mDistrib) ).
fof(26,negated_conjecture,
~ sdteqdtlpzmzozddtrp0(xb,xa,xq),
inference(assume_negation,[status(cth)],[13]) ).
fof(27,negated_conjecture,
~ sdteqdtlpzmzozddtrp0(xb,xa,xq),
inference(fof_simplification,[status(thm)],[26,theory(equality)]) ).
fof(28,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(29,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtasdt0(X2,sz10),X2)
& equal(X2,sdtasdt0(sz10,X2)) ) ),
inference(variable_rename,[status(thm)],[28]) ).
fof(30,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz10),X2)
| ~ aInteger0(X2) )
& ( equal(X2,sdtasdt0(sz10,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[29]) ).
cnf(32,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[30]) ).
cnf(33,plain,
xq != sz00,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(34,plain,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(35,plain,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(36,plain,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[2]) ).
fof(37,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtasdt0(smndt0(sz10),X1),smndt0(X1))
& equal(smndt0(X1),sdtasdt0(X1,smndt0(sz10))) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(38,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtasdt0(smndt0(sz10),X2),smndt0(X2))
& equal(smndt0(X2),sdtasdt0(X2,smndt0(sz10))) ) ),
inference(variable_rename,[status(thm)],[37]) ).
fof(39,plain,
! [X2] :
( ( equal(sdtasdt0(smndt0(sz10),X2),smndt0(X2))
| ~ aInteger0(X2) )
& ( equal(smndt0(X2),sdtasdt0(X2,smndt0(sz10)))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[38]) ).
cnf(41,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(42,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(43,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtasdt0(X2,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(44,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz00),sz00)
| ~ aInteger0(X2) )
& ( equal(sz00,sdtasdt0(sz00,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[43]) ).
cnf(46,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(53,plain,
! [X1] :
( ~ aInteger0(X1)
| ! [X2] :
( ( ~ aDivisorOf0(X2,X1)
| ( aInteger0(X2)
& ~ equal(X2,sz00)
& ? [X3] :
( aInteger0(X3)
& equal(sdtasdt0(X2,X3),X1) ) ) )
& ( ~ aInteger0(X2)
| equal(X2,sz00)
| ! [X3] :
( ~ aInteger0(X3)
| ~ equal(sdtasdt0(X2,X3),X1) )
| aDivisorOf0(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(54,plain,
! [X4] :
( ~ aInteger0(X4)
| ! [X5] :
( ( ~ aDivisorOf0(X5,X4)
| ( aInteger0(X5)
& ~ equal(X5,sz00)
& ? [X6] :
( aInteger0(X6)
& equal(sdtasdt0(X5,X6),X4) ) ) )
& ( ~ aInteger0(X5)
| equal(X5,sz00)
| ! [X7] :
( ~ aInteger0(X7)
| ~ equal(sdtasdt0(X5,X7),X4) )
| aDivisorOf0(X5,X4) ) ) ),
inference(variable_rename,[status(thm)],[53]) ).
fof(55,plain,
! [X4] :
( ~ aInteger0(X4)
| ! [X5] :
( ( ~ aDivisorOf0(X5,X4)
| ( aInteger0(X5)
& ~ equal(X5,sz00)
& aInteger0(esk1_2(X4,X5))
& equal(sdtasdt0(X5,esk1_2(X4,X5)),X4) ) )
& ( ~ aInteger0(X5)
| equal(X5,sz00)
| ! [X7] :
( ~ aInteger0(X7)
| ~ equal(sdtasdt0(X5,X7),X4) )
| aDivisorOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[54]) ).
fof(56,plain,
! [X4,X5,X7] :
( ( ( ~ aInteger0(X7)
| ~ equal(sdtasdt0(X5,X7),X4)
| ~ aInteger0(X5)
| equal(X5,sz00)
| aDivisorOf0(X5,X4) )
& ( ~ aDivisorOf0(X5,X4)
| ( aInteger0(X5)
& ~ equal(X5,sz00)
& aInteger0(esk1_2(X4,X5))
& equal(sdtasdt0(X5,esk1_2(X4,X5)),X4) ) ) )
| ~ aInteger0(X4) ),
inference(shift_quantors,[status(thm)],[55]) ).
fof(57,plain,
! [X4,X5,X7] :
( ( ~ aInteger0(X7)
| ~ equal(sdtasdt0(X5,X7),X4)
| ~ aInteger0(X5)
| equal(X5,sz00)
| aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( aInteger0(X5)
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( ~ equal(X5,sz00)
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( aInteger0(esk1_2(X4,X5))
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( equal(sdtasdt0(X5,esk1_2(X4,X5)),X4)
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) ) ),
inference(distribute,[status(thm)],[56]) ).
cnf(58,plain,
( sdtasdt0(X2,esk1_2(X1,X2)) = X1
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[57]) ).
cnf(59,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[57]) ).
cnf(62,plain,
( aDivisorOf0(X2,X1)
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X2,X3) != X1
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[57]) ).
fof(63,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ equal(sdtasdt0(X1,X2),sz00)
| equal(X1,sz00)
| equal(X2,sz00) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(64,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ equal(sdtasdt0(X3,X4),sz00)
| equal(X3,sz00)
| equal(X4,sz00) ),
inference(variable_rename,[status(thm)],[63]) ).
cnf(65,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[64]) ).
cnf(66,plain,
sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(67,plain,
aInteger0(xn),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(68,plain,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(69,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(75,negated_conjecture,
~ sdteqdtlpzmzozddtrp0(xb,xa,xq),
inference(split_conjunct,[status(thm)],[27]) ).
fof(76,plain,
! [X1,X2,X3] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| equal(sdtasdt0(X1,sdtasdt0(X2,X3)),sdtasdt0(sdtasdt0(X1,X2),X3)) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(77,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| equal(sdtasdt0(X4,sdtasdt0(X5,X6)),sdtasdt0(sdtasdt0(X4,X5),X6)) ),
inference(variable_rename,[status(thm)],[76]) ).
cnf(78,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[77]) ).
fof(82,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aInteger0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(83,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[82]) ).
cnf(84,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[83]) ).
fof(88,plain,
! [X1] :
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(89,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[88]) ).
cnf(90,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(91,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(92,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(split_conjunct,[status(thm)],[20]) ).
fof(93,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(94,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[93]) ).
fof(95,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aInteger0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[94]) ).
cnf(97,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[95]) ).
fof(101,plain,
! [X1,X2,X3] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| equal(X3,sz00)
| ( ( ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) )
& ( ~ aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2)))
| sdteqdtlpzmzozddtrp0(X1,X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(102,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| equal(X6,sz00)
| ( ( ~ sdteqdtlpzmzozddtrp0(X4,X5,X6)
| aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5))) )
& ( ~ aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5)))
| sdteqdtlpzmzozddtrp0(X4,X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[101]) ).
fof(103,plain,
! [X4,X5,X6] :
( ( ~ sdteqdtlpzmzozddtrp0(X4,X5,X6)
| aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5)))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| equal(X6,sz00) )
& ( ~ aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5)))
| sdteqdtlpzmzozddtrp0(X4,X5,X6)
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| equal(X6,sz00) ) ),
inference(distribute,[status(thm)],[102]) ).
cnf(104,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(split_conjunct,[status(thm)],[103]) ).
cnf(105,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[103]) ).
fof(109,plain,
! [X1,X2,X3] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ( equal(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
& equal(sdtasdt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))) ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(110,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| ( equal(sdtasdt0(X4,sdtpldt0(X5,X6)),sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6)))
& equal(sdtasdt0(sdtpldt0(X4,X5),X6),sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))) ) ),
inference(variable_rename,[status(thm)],[109]) ).
fof(111,plain,
! [X4,X5,X6] :
( ( equal(sdtasdt0(X4,sdtpldt0(X5,X6)),sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6)))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6) )
& ( equal(sdtasdt0(sdtpldt0(X4,X5),X6),sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6)))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6) ) ),
inference(distribute,[status(thm)],[110]) ).
cnf(113,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(215,plain,
( sz00 = X1
| aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(sdtasdt0(X1,X2)) ),
inference(er,[status(thm)],[62,theory(equality)]) ).
cnf(237,plain,
( aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[84,78,theory(equality)]) ).
cnf(286,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X1)
| ~ aInteger0(sz10)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[113,32,theory(equality)]) ).
cnf(308,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X1)
| $false
| ~ aInteger0(X2) ),
inference(rw,[status(thm)],[286,69,theory(equality)]) ).
cnf(309,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cn,[status(thm)],[308,theory(equality)]) ).
cnf(325,plain,
( sz00 = X1
| sdteqdtlpzmzozddtrp0(xb,xa,X1)
| ~ aDivisorOf0(X1,sdtasdt0(xq,smndt0(xn)))
| ~ aInteger0(xb)
| ~ aInteger0(xa)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[104,92,theory(equality)]) ).
cnf(335,plain,
( sz00 = X1
| sdteqdtlpzmzozddtrp0(xb,xa,X1)
| ~ aDivisorOf0(X1,sdtasdt0(xq,smndt0(xn)))
| $false
| ~ aInteger0(xa)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[325,35,theory(equality)]) ).
cnf(336,plain,
( sz00 = X1
| sdteqdtlpzmzozddtrp0(xb,xa,X1)
| ~ aDivisorOf0(X1,sdtasdt0(xq,smndt0(xn)))
| $false
| $false
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[335,36,theory(equality)]) ).
cnf(337,plain,
( sz00 = X1
| sdteqdtlpzmzozddtrp0(xb,xa,X1)
| ~ aDivisorOf0(X1,sdtasdt0(xq,smndt0(xn)))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[336,theory(equality)]) ).
cnf(340,plain,
( sz00 = xq
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(xa)
| ~ aInteger0(xb)
| ~ aInteger0(xq) ),
inference(spm,[status(thm)],[105,68,theory(equality)]) ).
cnf(342,plain,
( sz00 = xq
| aDivisorOf0(xq,sdtasdt0(xq,xn))
| ~ aInteger0(xa)
| ~ aInteger0(xb)
| ~ aInteger0(xq) ),
inference(rw,[status(thm)],[340,66,theory(equality)]) ).
cnf(343,plain,
( sz00 = xq
| aDivisorOf0(xq,sdtasdt0(xq,xn))
| $false
| ~ aInteger0(xb)
| ~ aInteger0(xq) ),
inference(rw,[status(thm)],[342,36,theory(equality)]) ).
cnf(344,plain,
( sz00 = xq
| aDivisorOf0(xq,sdtasdt0(xq,xn))
| $false
| $false
| ~ aInteger0(xq) ),
inference(rw,[status(thm)],[343,35,theory(equality)]) ).
cnf(345,plain,
( sz00 = xq
| aDivisorOf0(xq,sdtasdt0(xq,xn))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[344,34,theory(equality)]) ).
cnf(346,plain,
( sz00 = xq
| aDivisorOf0(xq,sdtasdt0(xq,xn)) ),
inference(cn,[status(thm)],[345,theory(equality)]) ).
cnf(347,plain,
aDivisorOf0(xq,sdtasdt0(xq,xn)),
inference(sr,[status(thm)],[346,33,theory(equality)]) ).
cnf(388,plain,
( aInteger0(esk1_2(sdtasdt0(xq,xn),xq))
| ~ aInteger0(sdtasdt0(xq,xn)) ),
inference(spm,[status(thm)],[59,347,theory(equality)]) ).
cnf(389,plain,
( sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq)) = sdtasdt0(xq,xn)
| ~ aInteger0(sdtasdt0(xq,xn)) ),
inference(spm,[status(thm)],[58,347,theory(equality)]) ).
cnf(428,plain,
( aInteger0(esk1_2(sdtasdt0(xq,xn),xq))
| ~ aInteger0(xn)
| ~ aInteger0(xq) ),
inference(spm,[status(thm)],[388,84,theory(equality)]) ).
cnf(429,plain,
( aInteger0(esk1_2(sdtasdt0(xq,xn),xq))
| $false
| ~ aInteger0(xq) ),
inference(rw,[status(thm)],[428,67,theory(equality)]) ).
cnf(430,plain,
( aInteger0(esk1_2(sdtasdt0(xq,xn),xq))
| $false
| $false ),
inference(rw,[status(thm)],[429,34,theory(equality)]) ).
cnf(431,plain,
aInteger0(esk1_2(sdtasdt0(xq,xn),xq)),
inference(cn,[status(thm)],[430,theory(equality)]) ).
cnf(433,plain,
( sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq)) = sdtasdt0(xq,xn)
| ~ aInteger0(xn)
| ~ aInteger0(xq) ),
inference(spm,[status(thm)],[389,84,theory(equality)]) ).
cnf(434,plain,
( sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq)) = sdtasdt0(xq,xn)
| $false
| ~ aInteger0(xq) ),
inference(rw,[status(thm)],[433,67,theory(equality)]) ).
cnf(435,plain,
( sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq)) = sdtasdt0(xq,xn)
| $false
| $false ),
inference(rw,[status(thm)],[434,34,theory(equality)]) ).
cnf(436,plain,
sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq)) = sdtasdt0(xq,xn),
inference(cn,[status(thm)],[435,theory(equality)]) ).
cnf(437,plain,
( aInteger0(sdtasdt0(xq,xn))
| ~ aInteger0(esk1_2(sdtasdt0(xq,xn),xq))
| ~ aInteger0(xq) ),
inference(spm,[status(thm)],[84,436,theory(equality)]) ).
cnf(440,plain,
( sdtasdt0(sdtasdt0(xq,xn),X1) = sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,xn),xq),X1))
| ~ aInteger0(X1)
| ~ aInteger0(esk1_2(sdtasdt0(xq,xn),xq))
| ~ aInteger0(xq) ),
inference(spm,[status(thm)],[78,436,theory(equality)]) ).
cnf(446,plain,
( aInteger0(sdtasdt0(xq,xn))
| $false
| ~ aInteger0(xq) ),
inference(rw,[status(thm)],[437,431,theory(equality)]) ).
cnf(447,plain,
( aInteger0(sdtasdt0(xq,xn))
| $false
| $false ),
inference(rw,[status(thm)],[446,34,theory(equality)]) ).
cnf(448,plain,
aInteger0(sdtasdt0(xq,xn)),
inference(cn,[status(thm)],[447,theory(equality)]) ).
cnf(457,plain,
( sdtasdt0(sdtasdt0(xq,xn),X1) = sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,xn),xq),X1))
| ~ aInteger0(X1)
| $false
| ~ aInteger0(xq) ),
inference(rw,[status(thm)],[440,431,theory(equality)]) ).
cnf(458,plain,
( sdtasdt0(sdtasdt0(xq,xn),X1) = sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,xn),xq),X1))
| ~ aInteger0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[457,34,theory(equality)]) ).
cnf(459,plain,
( sdtasdt0(sdtasdt0(xq,xn),X1) = sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,xn),xq),X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[458,theory(equality)]) ).
cnf(481,plain,
( sdtasdt0(xq,sz00) = sdtasdt0(sdtasdt0(xq,xn),sz00)
| ~ aInteger0(sz00)
| ~ aInteger0(esk1_2(sdtasdt0(xq,xn),xq)) ),
inference(spm,[status(thm)],[459,46,theory(equality)]) ).
cnf(497,plain,
( sdtasdt0(xq,sz00) = sdtasdt0(sdtasdt0(xq,xn),sz00)
| $false
| ~ aInteger0(esk1_2(sdtasdt0(xq,xn),xq)) ),
inference(rw,[status(thm)],[481,91,theory(equality)]) ).
cnf(498,plain,
( sdtasdt0(xq,sz00) = sdtasdt0(sdtasdt0(xq,xn),sz00)
| $false
| $false ),
inference(rw,[status(thm)],[497,431,theory(equality)]) ).
cnf(499,plain,
sdtasdt0(xq,sz00) = sdtasdt0(sdtasdt0(xq,xn),sz00),
inference(cn,[status(thm)],[498,theory(equality)]) ).
cnf(572,plain,
( sdtasdt0(xq,sz00) = sz00
| ~ aInteger0(sdtasdt0(xq,xn)) ),
inference(spm,[status(thm)],[46,499,theory(equality)]) ).
cnf(583,plain,
( sdtasdt0(xq,sz00) = sz00
| $false ),
inference(rw,[status(thm)],[572,448,theory(equality)]) ).
cnf(584,plain,
sdtasdt0(xq,sz00) = sz00,
inference(cn,[status(thm)],[583,theory(equality)]) ).
cnf(625,plain,
sdtasdt0(sdtasdt0(xq,xn),sz00) = sz00,
inference(rw,[status(thm)],[499,584,theory(equality)]) ).
cnf(686,plain,
( sz00 = sdtasdt0(xq,sdtasdt0(xn,sz00))
| ~ aInteger0(sz00)
| ~ aInteger0(xn)
| ~ aInteger0(xq) ),
inference(spm,[status(thm)],[78,625,theory(equality)]) ).
cnf(707,plain,
( sz00 = sdtasdt0(xq,sdtasdt0(xn,sz00))
| $false
| ~ aInteger0(xn)
| ~ aInteger0(xq) ),
inference(rw,[status(thm)],[686,91,theory(equality)]) ).
cnf(708,plain,
( sz00 = sdtasdt0(xq,sdtasdt0(xn,sz00))
| $false
| $false
| ~ aInteger0(xq) ),
inference(rw,[status(thm)],[707,67,theory(equality)]) ).
cnf(709,plain,
( sz00 = sdtasdt0(xq,sdtasdt0(xn,sz00))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[708,34,theory(equality)]) ).
cnf(710,plain,
sz00 = sdtasdt0(xq,sdtasdt0(xn,sz00)),
inference(cn,[status(thm)],[709,theory(equality)]) ).
cnf(810,plain,
( sz00 = sdtasdt0(xn,sz00)
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xn,sz00)) ),
inference(spm,[status(thm)],[65,710,theory(equality)]) ).
cnf(825,plain,
( sz00 = sdtasdt0(xn,sz00)
| sz00 = xq
| $false
| ~ aInteger0(sdtasdt0(xn,sz00)) ),
inference(rw,[status(thm)],[810,34,theory(equality)]) ).
cnf(826,plain,
( sz00 = sdtasdt0(xn,sz00)
| sz00 = xq
| ~ aInteger0(sdtasdt0(xn,sz00)) ),
inference(cn,[status(thm)],[825,theory(equality)]) ).
cnf(827,plain,
( sdtasdt0(xn,sz00) = sz00
| ~ aInteger0(sdtasdt0(xn,sz00)) ),
inference(sr,[status(thm)],[826,33,theory(equality)]) ).
cnf(990,plain,
( sdtasdt0(xn,sz00) = sz00
| ~ aInteger0(sz00)
| ~ aInteger0(xn) ),
inference(spm,[status(thm)],[827,84,theory(equality)]) ).
cnf(993,plain,
( sdtasdt0(xn,sz00) = sz00
| $false
| ~ aInteger0(xn) ),
inference(rw,[status(thm)],[990,91,theory(equality)]) ).
cnf(994,plain,
( sdtasdt0(xn,sz00) = sz00
| $false
| $false ),
inference(rw,[status(thm)],[993,67,theory(equality)]) ).
cnf(995,plain,
sdtasdt0(xn,sz00) = sz00,
inference(cn,[status(thm)],[994,theory(equality)]) ).
cnf(1714,plain,
( sz00 = X1
| aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[215,84]) ).
cnf(3713,plain,
( aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X3) ),
inference(csr,[status(thm)],[237,84]) ).
cnf(8827,plain,
( sdtpldt0(xn,sz00) = sdtasdt0(xn,sdtpldt0(sz10,sz00))
| ~ aInteger0(xn)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[309,995,theory(equality)]) ).
cnf(8933,plain,
( sdtpldt0(xn,sz00) = sdtasdt0(xn,sdtpldt0(sz10,sz00))
| $false
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[8827,67,theory(equality)]) ).
cnf(8934,plain,
( sdtpldt0(xn,sz00) = sdtasdt0(xn,sdtpldt0(sz10,sz00))
| $false
| $false ),
inference(rw,[status(thm)],[8933,91,theory(equality)]) ).
cnf(8935,plain,
sdtpldt0(xn,sz00) = sdtasdt0(xn,sdtpldt0(sz10,sz00)),
inference(cn,[status(thm)],[8934,theory(equality)]) ).
cnf(13296,plain,
( sdtasdt0(xn,sz10) = sdtpldt0(xn,sz00)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[8935,97,theory(equality)]) ).
cnf(13325,plain,
( sdtasdt0(xn,sz10) = sdtpldt0(xn,sz00)
| $false ),
inference(rw,[status(thm)],[13296,69,theory(equality)]) ).
cnf(13326,plain,
sdtasdt0(xn,sz10) = sdtpldt0(xn,sz00),
inference(cn,[status(thm)],[13325,theory(equality)]) ).
cnf(13388,plain,
( sdtasdt0(xn,sz10) = xn
| ~ aInteger0(xn) ),
inference(spm,[status(thm)],[97,13326,theory(equality)]) ).
cnf(13406,plain,
( sdtasdt0(xn,sz10) = xn
| $false ),
inference(rw,[status(thm)],[13388,67,theory(equality)]) ).
cnf(13407,plain,
sdtasdt0(xn,sz10) = xn,
inference(cn,[status(thm)],[13406,theory(equality)]) ).
cnf(13468,plain,
( aInteger0(sdtasdt0(X1,xn))
| ~ aInteger0(sz10)
| ~ aInteger0(xn)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[3713,13407,theory(equality)]) ).
cnf(13539,plain,
( aInteger0(sdtasdt0(X1,xn))
| $false
| ~ aInteger0(xn)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[13468,69,theory(equality)]) ).
cnf(13540,plain,
( aInteger0(sdtasdt0(X1,xn))
| $false
| $false
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[13539,67,theory(equality)]) ).
cnf(13541,plain,
( aInteger0(sdtasdt0(X1,xn))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[13540,theory(equality)]) ).
cnf(13980,plain,
( aInteger0(smndt0(xn))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xn) ),
inference(spm,[status(thm)],[13541,41,theory(equality)]) ).
cnf(14000,plain,
( aInteger0(smndt0(xn))
| ~ aInteger0(smndt0(sz10))
| $false ),
inference(rw,[status(thm)],[13980,67,theory(equality)]) ).
cnf(14001,plain,
( aInteger0(smndt0(xn))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[14000,theory(equality)]) ).
cnf(14089,plain,
( aInteger0(smndt0(xn))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[14001,90,theory(equality)]) ).
cnf(14090,plain,
( aInteger0(smndt0(xn))
| $false ),
inference(rw,[status(thm)],[14089,69,theory(equality)]) ).
cnf(14091,plain,
aInteger0(smndt0(xn)),
inference(cn,[status(thm)],[14090,theory(equality)]) ).
cnf(20505,plain,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xb,xa,xq)
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xn)) ),
inference(spm,[status(thm)],[337,1714,theory(equality)]) ).
cnf(20511,plain,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xb,xa,xq)
| $false
| ~ aInteger0(smndt0(xn)) ),
inference(rw,[status(thm)],[20505,34,theory(equality)]) ).
cnf(20512,plain,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xb,xa,xq)
| $false
| $false ),
inference(rw,[status(thm)],[20511,14091,theory(equality)]) ).
cnf(20513,plain,
( sz00 = xq
| sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
inference(cn,[status(thm)],[20512,theory(equality)]) ).
cnf(20514,plain,
sdteqdtlpzmzozddtrp0(xb,xa,xq),
inference(sr,[status(thm)],[20513,33,theory(equality)]) ).
cnf(20515,plain,
$false,
inference(sr,[status(thm)],[20514,75,theory(equality)]) ).
cnf(20516,plain,
$false,
20515,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM427+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n113.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 03:15:00 CST 2018
% 0.02/0.23 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 0.34/0.59 -running prover on /export/starexec/sandbox2/tmp/tmpbKosU0/sel_theBenchmark.p_1 with time limit 29
% 0.34/0.59 -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/tmpbKosU0/sel_theBenchmark.p_1']
% 0.34/0.59 -prover status Theorem
% 0.34/0.59 Problem theBenchmark.p solved in phase 0.
% 0.34/0.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.59 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.59 Solved 1 out of 1.
% 0.34/0.59 # Problem is unsatisfiable (or provable), constructing proof object
% 0.34/0.59 # SZS status Theorem
% 0.34/0.59 # SZS output start CNFRefutation.
% See solution above
% 0.34/0.60 # SZS output end CNFRefutation
%------------------------------------------------------------------------------