TSTP Solution File: NUM429+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM429+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n069.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 69.23s
% Output : CNFRefutation 69.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 19
% Syntax : Number of formulae : 217 ( 31 unt; 0 def)
% Number of atoms : 708 ( 99 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 843 ( 352 ~; 406 |; 69 &)
% ( 2 <=>; 14 =>; 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 : 248 ( 3 sgn 102 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',mMulOne) ).
fof(2,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtasdt0(smndt0(sz10),X1),smndt0(X1))
& equal(smndt0(X1),sdtasdt0(X1,smndt0(sz10))) ) ),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',mMulMinOne) ).
fof(3,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',mMulZero) ).
fof(4,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',mAddComm) ).
fof(5,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',mIntPlus) ).
fof(6,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/tmpYpsuQs/sel_theBenchmark.p_2',mDivisor) ).
fof(9,axiom,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& ~ equal(xq,sz00)
& aInteger0(xc) ),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',m__818) ).
fof(10,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',mIntOne) ).
fof(11,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtpldt0(X1,smndt0(X1)),sz00)
& equal(sz00,sdtpldt0(smndt0(X1),X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',mAddNeg) ).
fof(12,conjecture,
? [X1] :
( aInteger0(X1)
& equal(sdtasdt0(xq,X1),sdtpldt0(xa,smndt0(xb))) ),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',m__) ).
fof(13,axiom,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',m__853) ).
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/tmpYpsuQs/sel_theBenchmark.p_2',mMulAsso) ).
fof(16,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',mIntMult) ).
fof(17,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/tmpYpsuQs/sel_theBenchmark.p_2',mAddAsso) ).
fof(18,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',mIntNeg) ).
fof(19,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',mIntZero) ).
fof(20,axiom,
! [X1] :
( aInteger0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2',mAddZero) ).
fof(22,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/tmpYpsuQs/sel_theBenchmark.p_2',mEquMod) ).
fof(24,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/tmpYpsuQs/sel_theBenchmark.p_2',mDistrib) ).
fof(25,negated_conjecture,
~ ? [X1] :
( aInteger0(X1)
& equal(sdtasdt0(xq,X1),sdtpldt0(xa,smndt0(xb))) ),
inference(assume_negation,[status(cth)],[12]) ).
fof(26,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(27,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtasdt0(X2,sz10),X2)
& equal(X2,sdtasdt0(sz10,X2)) ) ),
inference(variable_rename,[status(thm)],[26]) ).
fof(28,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz10),X2)
| ~ aInteger0(X2) )
& ( equal(X2,sdtasdt0(sz10,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[27]) ).
cnf(29,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(30,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(31,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtasdt0(smndt0(sz10),X1),smndt0(X1))
& equal(smndt0(X1),sdtasdt0(X1,smndt0(sz10))) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(32,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtasdt0(smndt0(sz10),X2),smndt0(X2))
& equal(smndt0(X2),sdtasdt0(X2,smndt0(sz10))) ) ),
inference(variable_rename,[status(thm)],[31]) ).
fof(33,plain,
! [X2] :
( ( equal(sdtasdt0(smndt0(sz10),X2),smndt0(X2))
| ~ aInteger0(X2) )
& ( equal(smndt0(X2),sdtasdt0(X2,smndt0(sz10)))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[32]) ).
cnf(34,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(35,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[33]) ).
fof(36,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(37,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtasdt0(X2,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[36]) ).
fof(38,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz00),sz00)
| ~ aInteger0(X2) )
& ( equal(sz00,sdtasdt0(sz00,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[37]) ).
cnf(40,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(41,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(42,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| equal(sdtpldt0(X3,X4),sdtpldt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[41]) ).
cnf(43,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(44,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aInteger0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(45,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[44]) ).
cnf(46,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(47,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)],[6]) ).
fof(48,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)],[47]) ).
fof(49,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)],[48]) ).
fof(50,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)],[49]) ).
fof(51,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)],[50]) ).
cnf(52,plain,
( sdtasdt0(X2,esk1_2(X1,X2)) = X1
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(53,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(64,plain,
xq != sz00,
inference(split_conjunct,[status(thm)],[9]) ).
cnf(65,plain,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(66,plain,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(67,plain,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(68,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[10]) ).
fof(69,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtpldt0(X1,smndt0(X1)),sz00)
& equal(sz00,sdtpldt0(smndt0(X1),X1)) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(70,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtpldt0(X2,smndt0(X2)),sz00)
& equal(sz00,sdtpldt0(smndt0(X2),X2)) ) ),
inference(variable_rename,[status(thm)],[69]) ).
fof(71,plain,
! [X2] :
( ( equal(sdtpldt0(X2,smndt0(X2)),sz00)
| ~ aInteger0(X2) )
& ( equal(sz00,sdtpldt0(smndt0(X2),X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[70]) ).
cnf(72,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(73,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
fof(74,negated_conjecture,
! [X1] :
( ~ aInteger0(X1)
| ~ equal(sdtasdt0(xq,X1),sdtpldt0(xa,smndt0(xb))) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(75,negated_conjecture,
! [X2] :
( ~ aInteger0(X2)
| ~ equal(sdtasdt0(xq,X2),sdtpldt0(xa,smndt0(xb))) ),
inference(variable_rename,[status(thm)],[74]) ).
cnf(76,negated_conjecture,
( sdtasdt0(xq,X1) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(78,plain,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(split_conjunct,[status(thm)],[13]) ).
fof(79,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(80,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)],[79]) ).
cnf(81,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(85,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aInteger0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(86,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[85]) ).
cnf(87,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[86]) ).
fof(88,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)],[17]) ).
fof(89,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)],[88]) ).
cnf(90,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[89]) ).
fof(91,plain,
! [X1] :
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(92,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[91]) ).
cnf(93,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(94,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[19]) ).
fof(95,plain,
! [X1] :
( ~ aInteger0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(96,plain,
! [X2] :
( ~ aInteger0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[95]) ).
fof(97,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aInteger0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[96]) ).
cnf(98,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(99,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[97]) ).
fof(103,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)],[22]) ).
fof(104,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)],[103]) ).
fof(105,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)],[104]) ).
cnf(107,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[105]) ).
fof(111,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)],[24]) ).
fof(112,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)],[111]) ).
fof(113,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)],[112]) ).
cnf(115,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[113]) ).
cnf(137,plain,
( sz00 = smndt0(sz00)
| ~ aInteger0(smndt0(sz00))
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[98,73,theory(equality)]) ).
cnf(139,plain,
( sz00 = smndt0(sz00)
| ~ aInteger0(smndt0(sz00))
| $false ),
inference(rw,[status(thm)],[137,94,theory(equality)]) ).
cnf(140,plain,
( sz00 = smndt0(sz00)
| ~ aInteger0(smndt0(sz00)) ),
inference(cn,[status(thm)],[139,theory(equality)]) ).
cnf(217,plain,
( aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[87,81,theory(equality)]) ).
cnf(218,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(sz10)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[30,81,theory(equality)]) ).
cnf(220,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[40,81,theory(equality)]) ).
cnf(221,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(X1,sdtasdt0(sz00,X2))
| ~ aInteger0(X2)
| ~ aInteger0(sz00)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[81,40,theory(equality)]) ).
cnf(223,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[81,29,theory(equality)]) ).
cnf(234,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aInteger0(sdtasdt0(X1,X2))
| $false
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[218,68,theory(equality)]) ).
cnf(235,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[234,theory(equality)]) ).
cnf(238,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aInteger0(sdtasdt0(X1,X2))
| $false
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[220,94,theory(equality)]) ).
cnf(239,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[238,theory(equality)]) ).
cnf(240,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(X1,sdtasdt0(sz00,X2))
| ~ aInteger0(X2)
| $false
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[221,94,theory(equality)]) ).
cnf(241,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(X1,sdtasdt0(sz00,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[240,theory(equality)]) ).
cnf(244,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[223,68,theory(equality)]) ).
cnf(245,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[244,theory(equality)]) ).
cnf(246,plain,
( aInteger0(sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[46,90,theory(equality)]) ).
cnf(252,plain,
( sdtpldt0(sz00,X2) = sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(X1)) ),
inference(spm,[status(thm)],[90,72,theory(equality)]) ).
cnf(295,plain,
( aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(sdtasdt0(X1,X3))
| ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(spm,[status(thm)],[46,115,theory(equality)]) ).
cnf(296,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X1)
| ~ aInteger0(sz10)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[115,30,theory(equality)]) ).
cnf(297,plain,
( sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[115,30,theory(equality)]) ).
cnf(317,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X1)
| $false
| ~ aInteger0(X2) ),
inference(rw,[status(thm)],[296,68,theory(equality)]) ).
cnf(318,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cn,[status(thm)],[317,theory(equality)]) ).
cnf(319,plain,
( sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| $false ),
inference(rw,[status(thm)],[297,68,theory(equality)]) ).
cnf(320,plain,
( sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cn,[status(thm)],[319,theory(equality)]) ).
cnf(380,plain,
( sz00 = xq
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(xa)
| ~ aInteger0(xb)
| ~ aInteger0(xq) ),
inference(spm,[status(thm)],[107,78,theory(equality)]) ).
cnf(383,plain,
( sz00 = xq
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| $false
| ~ aInteger0(xb)
| ~ aInteger0(xq) ),
inference(rw,[status(thm)],[380,67,theory(equality)]) ).
cnf(384,plain,
( sz00 = xq
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| $false
| $false
| ~ aInteger0(xq) ),
inference(rw,[status(thm)],[383,66,theory(equality)]) ).
cnf(385,plain,
( sz00 = xq
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[384,65,theory(equality)]) ).
cnf(386,plain,
( sz00 = xq
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))) ),
inference(cn,[status(thm)],[385,theory(equality)]) ).
cnf(387,plain,
aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))),
inference(sr,[status(thm)],[386,64,theory(equality)]) ).
cnf(418,plain,
( aInteger0(esk1_2(sdtpldt0(xa,smndt0(xb)),xq))
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(spm,[status(thm)],[53,387,theory(equality)]) ).
cnf(419,plain,
( sdtasdt0(xq,esk1_2(sdtpldt0(xa,smndt0(xb)),xq)) = sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(spm,[status(thm)],[52,387,theory(equality)]) ).
cnf(437,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[140,93,theory(equality)]) ).
cnf(438,plain,
( smndt0(sz00) = sz00
| $false ),
inference(rw,[status(thm)],[437,94,theory(equality)]) ).
cnf(439,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[438,theory(equality)]) ).
cnf(470,plain,
( sdtpldt0(sz00,sz00) = sz00
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[73,439,theory(equality)]) ).
cnf(479,plain,
( sdtpldt0(sz00,sz00) = sz00
| $false ),
inference(rw,[status(thm)],[470,94,theory(equality)]) ).
cnf(480,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[479,theory(equality)]) ).
cnf(505,plain,
( aInteger0(esk1_2(sdtpldt0(xa,smndt0(xb)),xq))
| ~ aInteger0(smndt0(xb))
| ~ aInteger0(xa) ),
inference(spm,[status(thm)],[418,46,theory(equality)]) ).
cnf(506,plain,
( aInteger0(esk1_2(sdtpldt0(xa,smndt0(xb)),xq))
| ~ aInteger0(smndt0(xb))
| $false ),
inference(rw,[status(thm)],[505,67,theory(equality)]) ).
cnf(507,plain,
( aInteger0(esk1_2(sdtpldt0(xa,smndt0(xb)),xq))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[506,theory(equality)]) ).
cnf(508,plain,
( aInteger0(esk1_2(sdtpldt0(xa,smndt0(xb)),xq))
| ~ aInteger0(xb) ),
inference(spm,[status(thm)],[507,93,theory(equality)]) ).
cnf(509,plain,
( aInteger0(esk1_2(sdtpldt0(xa,smndt0(xb)),xq))
| $false ),
inference(rw,[status(thm)],[508,66,theory(equality)]) ).
cnf(510,plain,
aInteger0(esk1_2(sdtpldt0(xa,smndt0(xb)),xq)),
inference(cn,[status(thm)],[509,theory(equality)]) ).
cnf(903,plain,
( aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X3) ),
inference(csr,[status(thm)],[217,87]) ).
cnf(983,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[235,87]) ).
cnf(1095,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[239,87]) ).
cnf(1125,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ aInteger0(sz00)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[241,1095,theory(equality)]) ).
cnf(1172,plain,
( sz00 = sdtasdt0(sz00,sz00)
| $false
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[1125,94,theory(equality)]) ).
cnf(1173,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[1172,theory(equality)]) ).
cnf(1290,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(spm,[status(thm)],[1173,510,theory(equality)]) ).
cnf(1389,plain,
( sdtasdt0(sz10,sz00) = sz00
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[245,1290,theory(equality)]) ).
cnf(1414,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aInteger0(X1)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[983,245,theory(equality)]) ).
cnf(1421,plain,
( sdtasdt0(sz10,sz00) = sz00
| $false ),
inference(rw,[status(thm)],[1389,94,theory(equality)]) ).
cnf(1422,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(cn,[status(thm)],[1421,theory(equality)]) ).
cnf(1459,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aInteger0(X1)
| $false ),
inference(rw,[status(thm)],[1414,68,theory(equality)]) ).
cnf(1460,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[1459,theory(equality)]) ).
cnf(2407,plain,
( aInteger0(sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X3) ),
inference(csr,[status(thm)],[246,46]) ).
cnf(2421,plain,
( aInteger0(sdtpldt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aInteger0(sdtasdt0(X2,X4))
| ~ aInteger0(sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4) ),
inference(spm,[status(thm)],[2407,115,theory(equality)]) ).
cnf(3213,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[252,93]) ).
cnf(3223,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X2,X1)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[3213,43,theory(equality)]) ).
cnf(3227,plain,
( sdtpldt0(smndt0(sdtasdt0(X1,X2)),sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sz00,sdtasdt0(X1,X3))
| ~ aInteger0(sdtasdt0(X1,X3))
| ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(spm,[status(thm)],[3213,115,theory(equality)]) ).
cnf(3758,plain,
( sdtasdt0(sz10,sz10) = sz10
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[30,1460,theory(equality)]) ).
cnf(3816,plain,
( sdtasdt0(sz10,sz10) = sz10
| $false ),
inference(rw,[status(thm)],[3758,68,theory(equality)]) ).
cnf(3817,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(cn,[status(thm)],[3816,theory(equality)]) ).
cnf(5492,plain,
( aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(sdtasdt0(X1,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(csr,[status(thm)],[295,87]) ).
cnf(5493,plain,
( aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(csr,[status(thm)],[5492,87]) ).
cnf(5724,plain,
( sdtpldt0(sz10,sz00) = sdtasdt0(sz10,sdtpldt0(sz10,sz00))
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[318,1422,theory(equality)]) ).
cnf(5782,plain,
( sdtpldt0(sz10,sz00) = sdtasdt0(sz10,sdtpldt0(sz10,sz00))
| $false
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[5724,68,theory(equality)]) ).
cnf(5783,plain,
( sdtpldt0(sz10,sz00) = sdtasdt0(sz10,sdtpldt0(sz10,sz00))
| $false
| $false ),
inference(rw,[status(thm)],[5782,94,theory(equality)]) ).
cnf(5784,plain,
sdtpldt0(sz10,sz00) = sdtasdt0(sz10,sdtpldt0(sz10,sz00)),
inference(cn,[status(thm)],[5783,theory(equality)]) ).
cnf(6288,plain,
( sdtpldt0(sz00,sz10) = sdtasdt0(sz10,sdtpldt0(sz00,sz10))
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[320,1422,theory(equality)]) ).
cnf(6357,plain,
( sdtpldt0(sz00,sz10) = sdtasdt0(sz10,sdtpldt0(sz00,sz10))
| $false
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[6288,68,theory(equality)]) ).
cnf(6358,plain,
( sdtpldt0(sz00,sz10) = sdtasdt0(sz10,sdtpldt0(sz00,sz10))
| $false
| $false ),
inference(rw,[status(thm)],[6357,94,theory(equality)]) ).
cnf(6359,plain,
sdtpldt0(sz00,sz10) = sdtasdt0(sz10,sdtpldt0(sz00,sz10)),
inference(cn,[status(thm)],[6358,theory(equality)]) ).
cnf(6913,plain,
( aInteger0(sdtpldt0(sz10,sz00))
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[5493,5784,theory(equality)]) ).
cnf(6974,plain,
( aInteger0(sdtpldt0(sz10,sz00))
| $false
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[6913,68,theory(equality)]) ).
cnf(6975,plain,
( aInteger0(sdtpldt0(sz10,sz00))
| $false
| $false ),
inference(rw,[status(thm)],[6974,94,theory(equality)]) ).
cnf(6976,plain,
aInteger0(sdtpldt0(sz10,sz00)),
inference(cn,[status(thm)],[6975,theory(equality)]) ).
cnf(7221,plain,
( aInteger0(sdtpldt0(sz00,sz10))
| ~ aInteger0(sz00)
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[6976,43,theory(equality)]) ).
cnf(7227,plain,
( aInteger0(sdtpldt0(sz00,sz10))
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[7221,94,theory(equality)]) ).
cnf(7228,plain,
( aInteger0(sdtpldt0(sz00,sz10))
| $false
| $false ),
inference(rw,[status(thm)],[7227,68,theory(equality)]) ).
cnf(7229,plain,
aInteger0(sdtpldt0(sz00,sz10)),
inference(cn,[status(thm)],[7228,theory(equality)]) ).
cnf(8148,plain,
( aInteger0(sdtasdt0(X1,sdtpldt0(sz00,sz10)))
| ~ aInteger0(sdtpldt0(sz00,sz10))
| ~ aInteger0(sz10)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[903,6359,theory(equality)]) ).
cnf(8197,plain,
( aInteger0(sdtasdt0(X1,sdtpldt0(sz00,sz10)))
| $false
| ~ aInteger0(sz10)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[8148,7229,theory(equality)]) ).
cnf(8198,plain,
( aInteger0(sdtasdt0(X1,sdtpldt0(sz00,sz10)))
| $false
| $false
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[8197,68,theory(equality)]) ).
cnf(8199,plain,
( aInteger0(sdtasdt0(X1,sdtpldt0(sz00,sz10)))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[8198,theory(equality)]) ).
cnf(8390,plain,
( aInteger0(smndt0(sdtpldt0(sz00,sz10)))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sdtpldt0(sz00,sz10)) ),
inference(spm,[status(thm)],[8199,35,theory(equality)]) ).
cnf(8414,plain,
( aInteger0(smndt0(sdtpldt0(sz00,sz10)))
| ~ aInteger0(smndt0(sz10))
| $false ),
inference(rw,[status(thm)],[8390,7229,theory(equality)]) ).
cnf(8415,plain,
( aInteger0(smndt0(sdtpldt0(sz00,sz10)))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[8414,theory(equality)]) ).
cnf(8488,plain,
( aInteger0(smndt0(sdtpldt0(sz00,sz10)))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[8415,93,theory(equality)]) ).
cnf(8489,plain,
( aInteger0(smndt0(sdtpldt0(sz00,sz10)))
| $false ),
inference(rw,[status(thm)],[8488,68,theory(equality)]) ).
cnf(8490,plain,
aInteger0(smndt0(sdtpldt0(sz00,sz10))),
inference(cn,[status(thm)],[8489,theory(equality)]) ).
cnf(8491,plain,
( aInteger0(smndt0(sz10))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[8490,98,theory(equality)]) ).
cnf(8493,plain,
( aInteger0(smndt0(sz10))
| $false ),
inference(rw,[status(thm)],[8491,68,theory(equality)]) ).
cnf(8494,plain,
aInteger0(smndt0(sz10)),
inference(cn,[status(thm)],[8493,theory(equality)]) ).
cnf(478386,plain,
( aInteger0(sdtpldt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aInteger0(sdtasdt0(X2,X4))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4) ),
inference(csr,[status(thm)],[2421,87]) ).
cnf(478387,plain,
( aInteger0(sdtpldt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4) ),
inference(csr,[status(thm)],[478386,87]) ).
cnf(615204,plain,
( sdtpldt0(smndt0(sdtasdt0(X1,X2)),sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sz00,sdtasdt0(X1,X3))
| ~ aInteger0(sdtasdt0(X1,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(csr,[status(thm)],[3227,87]) ).
cnf(615205,plain,
( sdtpldt0(smndt0(sdtasdt0(X1,X2)),sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sz00,sdtasdt0(X1,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(csr,[status(thm)],[615204,87]) ).
cnf(615218,plain,
( sdtpldt0(smndt0(sdtasdt0(sz10,sz10)),sdtpldt0(sz10,sz00)) = sdtpldt0(sz00,sdtasdt0(sz10,sz00))
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(spm,[status(thm)],[615205,5784,theory(equality)]) ).
cnf(615919,plain,
( sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz00)) = sdtpldt0(sz00,sdtasdt0(sz10,sz00))
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[615218,3817,theory(equality)]) ).
cnf(615920,plain,
( sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz00)) = sz00
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[615919,1422,theory(equality)]),480,theory(equality)]) ).
cnf(615921,plain,
( sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz00)) = sz00
| $false
| ~ aInteger0(sz00) ),
inference(rw,[status(thm)],[615920,68,theory(equality)]) ).
cnf(615922,plain,
( sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz00)) = sz00
| $false
| $false ),
inference(rw,[status(thm)],[615921,94,theory(equality)]) ).
cnf(615923,plain,
sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz00)) = sz00,
inference(cn,[status(thm)],[615922,theory(equality)]) ).
cnf(621096,plain,
( sdtpldt0(smndt0(sz10),sz10) = sz00
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[615923,99,theory(equality)]) ).
cnf(621181,plain,
( sdtpldt0(smndt0(sz10),sz10) = sz00
| $false ),
inference(rw,[status(thm)],[621096,68,theory(equality)]) ).
cnf(621182,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(cn,[status(thm)],[621181,theory(equality)]) ).
cnf(621789,plain,
( sdtpldt0(smndt0(sz10),sz00) = sdtpldt0(sz00,smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sz10) ),
inference(spm,[status(thm)],[3223,621182,theory(equality)]) ).
cnf(621966,plain,
( sdtpldt0(smndt0(sz10),sz00) = sdtpldt0(sz00,smndt0(sz10))
| $false
| ~ aInteger0(sz10) ),
inference(rw,[status(thm)],[621789,8494,theory(equality)]) ).
cnf(621967,plain,
( sdtpldt0(smndt0(sz10),sz00) = sdtpldt0(sz00,smndt0(sz10))
| $false
| $false ),
inference(rw,[status(thm)],[621966,68,theory(equality)]) ).
cnf(621968,plain,
sdtpldt0(smndt0(sz10),sz00) = sdtpldt0(sz00,smndt0(sz10)),
inference(cn,[status(thm)],[621967,theory(equality)]) ).
cnf(668807,plain,
( sdtpldt0(sz00,smndt0(sz10)) = smndt0(sz10)
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[99,621968,theory(equality)]) ).
cnf(668938,plain,
( sdtpldt0(sz00,smndt0(sz10)) = smndt0(sz10)
| $false ),
inference(rw,[status(thm)],[668807,8494,theory(equality)]) ).
cnf(668939,plain,
sdtpldt0(sz00,smndt0(sz10)) = smndt0(sz10),
inference(cn,[status(thm)],[668938,theory(equality)]) ).
cnf(669539,plain,
( aInteger0(sdtpldt0(X1,sdtasdt0(X2,smndt0(sz10))))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[478387,668939,theory(equality)]) ).
cnf(669742,plain,
( aInteger0(sdtpldt0(X1,sdtasdt0(X2,smndt0(sz10))))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| $false
| ~ aInteger0(smndt0(sz10)) ),
inference(rw,[status(thm)],[669539,94,theory(equality)]) ).
cnf(669743,plain,
( aInteger0(sdtpldt0(X1,sdtasdt0(X2,smndt0(sz10))))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| $false
| $false ),
inference(rw,[status(thm)],[669742,8494,theory(equality)]) ).
cnf(669744,plain,
( aInteger0(sdtpldt0(X1,sdtasdt0(X2,smndt0(sz10))))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cn,[status(thm)],[669743,theory(equality)]) ).
cnf(1735852,plain,
( aInteger0(sdtpldt0(X1,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[669744,34,theory(equality)]) ).
cnf(1739490,plain,
( sdtasdt0(xq,esk1_2(sdtpldt0(xa,smndt0(xb)),xq)) = sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(xa)
| ~ aInteger0(xb) ),
inference(spm,[status(thm)],[419,1735852,theory(equality)]) ).
cnf(1739620,plain,
( sdtasdt0(xq,esk1_2(sdtpldt0(xa,smndt0(xb)),xq)) = sdtpldt0(xa,smndt0(xb))
| $false
| ~ aInteger0(xb) ),
inference(rw,[status(thm)],[1739490,67,theory(equality)]) ).
cnf(1739621,plain,
( sdtasdt0(xq,esk1_2(sdtpldt0(xa,smndt0(xb)),xq)) = sdtpldt0(xa,smndt0(xb))
| $false
| $false ),
inference(rw,[status(thm)],[1739620,66,theory(equality)]) ).
cnf(1739622,plain,
sdtasdt0(xq,esk1_2(sdtpldt0(xa,smndt0(xb)),xq)) = sdtpldt0(xa,smndt0(xb)),
inference(cn,[status(thm)],[1739621,theory(equality)]) ).
cnf(1741200,plain,
~ aInteger0(esk1_2(sdtpldt0(xa,smndt0(xb)),xq)),
inference(spm,[status(thm)],[76,1739622,theory(equality)]) ).
cnf(1741660,plain,
$false,
inference(rw,[status(thm)],[1741200,510,theory(equality)]) ).
cnf(1741661,plain,
$false,
inference(cn,[status(thm)],[1741660,theory(equality)]) ).
cnf(1741662,plain,
$false,
1741661,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM429+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.24 % Computer : n069.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 03:15:45 CST 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.29 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 --creating new selector for []
% 29.09/29.46 eprover: CPU time limit exceeded, terminating
% 69.23/70.74 -running prover on /export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_1 with time limit 29
% 69.23/70.74 -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/tmpYpsuQs/sel_theBenchmark.p_1']
% 69.23/70.74 -prover status ResourceOut
% 69.23/70.74 -running prover on /export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2 with time limit 81
% 69.23/70.74 -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=81', '/export/starexec/sandbox2/tmp/tmpYpsuQs/sel_theBenchmark.p_2']
% 69.23/70.74 -prover status Theorem
% 69.23/70.74 Problem theBenchmark.p solved in phase 1.
% 69.23/70.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.23/70.74 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.23/70.75 Solved 1 out of 1.
% 69.23/70.75 # Problem is unsatisfiable (or provable), constructing proof object
% 69.23/70.75 # SZS status Theorem
% 69.23/70.75 # SZS output start CNFRefutation.
% See solution above
% 69.23/70.76 # SZS output end CNFRefutation
%------------------------------------------------------------------------------