TSTP Solution File: RNG121+4 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : RNG121+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:12:20 EDT 2022
% Result : Theorem 10.24s 10.39s
% Output : Refutation 10.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 10 RR)
% Number of literals : 16 ( 5 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( ~ aElement0(A)
| A = sdtpldt0(sz00,A) ),
file('RNG121+4.p',unknown),
[] ).
cnf(8,plain,
( ~ aElement0(A)
| sdtpldt0(sz00,A) = A ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[7])]),
[iquote('copy,7,flip.2')] ).
cnf(134,axiom,
( aElementOf0(A,xI)
| ~ aElementOf0(B,slsdtgt0(xa))
| ~ aElementOf0(C,slsdtgt0(xb))
| sdtpldt0(B,C) != A ),
file('RNG121+4.p',unknown),
[] ).
cnf(157,axiom,
~ aElementOf0(xb,xI),
file('RNG121+4.p',unknown),
[] ).
cnf(291,axiom,
A = A,
file('RNG121+4.p',unknown),
[] ).
cnf(295,axiom,
aElement0(xb),
file('RNG121+4.p',unknown),
[] ).
cnf(316,axiom,
aElementOf0(sz00,slsdtgt0(xa)),
file('RNG121+4.p',unknown),
[] ).
cnf(328,axiom,
aElementOf0(xb,slsdtgt0(xb)),
file('RNG121+4.p',unknown),
[] ).
cnf(1207,plain,
sdtpldt0(sz00,xb) = xb,
inference(hyper,[status(thm)],[295,8]),
[iquote('hyper,295,8')] ).
cnf(1490,plain,
aElementOf0(xb,xI),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[328,134,316,291]),1207]),
[iquote('hyper,328,134,316,291,demod,1207')] ).
cnf(1491,plain,
$false,
inference(binary,[status(thm)],[1490,157]),
[iquote('binary,1490.1,157.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG121+4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 02:14:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.54/2.72 ----- Otter 3.3f, August 2004 -----
% 2.54/2.72 The process was started by sandbox2 on n006.cluster.edu,
% 2.54/2.72 Wed Jul 27 02:14:32 2022
% 2.54/2.72 The command was "./otter". The process ID is 7195.
% 2.54/2.72
% 2.54/2.72 set(prolog_style_variables).
% 2.54/2.72 set(auto).
% 2.54/2.72 dependent: set(auto1).
% 2.54/2.72 dependent: set(process_input).
% 2.54/2.72 dependent: clear(print_kept).
% 2.54/2.72 dependent: clear(print_new_demod).
% 2.54/2.72 dependent: clear(print_back_demod).
% 2.54/2.72 dependent: clear(print_back_sub).
% 2.54/2.72 dependent: set(control_memory).
% 2.54/2.72 dependent: assign(max_mem, 12000).
% 2.54/2.72 dependent: assign(pick_given_ratio, 4).
% 2.54/2.72 dependent: assign(stats_level, 1).
% 2.54/2.72 dependent: assign(max_seconds, 10800).
% 2.54/2.72 clear(print_given).
% 2.54/2.72
% 2.54/2.72 formula_list(usable).
% 2.54/2.72 all A (A=A).
% 2.54/2.72 all W0 (aElement0(W0)->$T).
% 2.54/2.72 aElement0(sz00).
% 2.54/2.72 aElement0(sz10).
% 2.54/2.72 all W0 (aElement0(W0)->aElement0(smndt0(W0))).
% 2.54/2.72 all W0 W1 (aElement0(W0)&aElement0(W1)->aElement0(sdtpldt0(W0,W1))).
% 2.54/2.72 all W0 W1 (aElement0(W0)&aElement0(W1)->aElement0(sdtasdt0(W0,W1))).
% 2.54/2.72 all W0 W1 (aElement0(W0)&aElement0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)).
% 2.54/2.72 all W0 W1 W2 (aElement0(W0)&aElement0(W1)&aElement0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))).
% 2.54/2.72 all W0 (aElement0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)).
% 2.54/2.72 all W0 (aElement0(W0)->sdtpldt0(W0,smndt0(W0))=sz00&sz00=sdtpldt0(smndt0(W0),W0)).
% 2.54/2.72 all W0 W1 (aElement0(W0)&aElement0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 2.54/2.72 all W0 W1 W2 (aElement0(W0)&aElement0(W1)&aElement0(W2)->sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))).
% 2.54/2.72 all W0 (aElement0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)).
% 2.54/2.72 all W0 W1 W2 (aElement0(W0)&aElement0(W1)&aElement0(W2)->sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0))).
% 2.54/2.72 all W0 (aElement0(W0)->sdtasdt0(smndt0(sz10),W0)=smndt0(W0)&smndt0(W0)=sdtasdt0(W0,smndt0(sz10))).
% 2.54/2.72 all W0 (aElement0(W0)->sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)).
% 2.54/2.72 all W0 W1 (aElement0(W0)&aElement0(W1)-> (sdtasdt0(W0,W1)=sz00->W0=sz00|W1=sz00)).
% 2.54/2.72 sz10!=sz00.
% 2.54/2.72 all W0 (aSet0(W0)->$T).
% 2.54/2.72 all W0 (aSet0(W0)-> (all W1 (aElementOf0(W1,W0)->aElement0(W1)))).
% 2.54/2.72 all W0 W1 (aSet0(W0)&aSet0(W1)-> ((all W2 (aElementOf0(W2,W0)->aElementOf0(W2,W1)))& (all W2 (aElementOf0(W2,W1)->aElementOf0(W2,W0)))->W0=W1)).
% 2.54/2.72 all W0 W1 (aSet0(W0)&aSet0(W1)-> (all W2 (W2=sdtpldt1(W0,W1)<->aSet0(W2)& (all W3 (aElementOf0(W3,W2)<-> (exists W4 W5 (aElementOf0(W4,W0)&aElementOf0(W5,W1)&sdtpldt0(W4,W5)=W3))))))).
% 2.54/2.72 all W0 W1 (aSet0(W0)&aSet0(W1)-> (all W2 (W2=sdtasasdt0(W0,W1)<->aSet0(W2)& (all W3 (aElementOf0(W3,W2)<->aElementOf0(W3,W0)&aElementOf0(W3,W1)))))).
% 2.54/2.72 all W0 (aIdeal0(W0)<->aSet0(W0)& (all W1 (aElementOf0(W1,W0)-> (all W2 (aElementOf0(W2,W0)->aElementOf0(sdtpldt0(W1,W2),W0)))& (all W2 (aElement0(W2)->aElementOf0(sdtasdt0(W2,W1),W0)))))).
% 2.54/2.72 all W0 W1 (aIdeal0(W0)&aIdeal0(W1)->aIdeal0(sdtpldt1(W0,W1))).
% 2.54/2.72 all W0 W1 (aIdeal0(W0)&aIdeal0(W1)->aIdeal0(sdtasasdt0(W0,W1))).
% 2.54/2.72 all W0 W1 W2 (aElement0(W0)&aElement0(W1)&aIdeal0(W2)-> (sdte_qdtlpzmzozddtrp0(W0,W1,W2)<->aElementOf0(sdtpldt0(W0,smndt0(W1)),W2))).
% 2.54/2.72 all W0 W1 (aIdeal0(W0)&aIdeal0(W1)-> ((all W2 (aElement0(W2)->aElementOf0(W2,sdtpldt1(W0,W1))))-> (all W2 W3 (aElement0(W2)&aElement0(W3)-> (exists W4 (aElement0(W4)&sdte_qdtlpzmzozddtrp0(W4,W2,W0)&sdte_qdtlpzmzozddtrp0(W4,W3,W1))))))).
% 2.54/2.72 all W0 (aNaturalNumber0(W0)->$T).
% 2.54/2.72 all W0 (aElement0(W0)&W0!=sz00->aNaturalNumber0(sbrdtbr0(W0))).
% 2.54/2.72 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)).
% 2.54/2.72 all W0 W1 (aElement0(W0)&aElement0(W1)&W1!=sz00-> (exists W2 W3 (aElement0(W2)&aElement0(W3)&W0=sdtpldt0(sdtasdt0(W2,W1),W3)& (W3!=sz00->iLess0(sbrdtbr0(W3),sbrdtbr0(W1)))))).
% 2.54/2.72 all W0 W1 (aElement0(W0)&aElement0(W1)-> (doDivides0(W0,W1)<-> (exists W2 (aElement0(W2)&sdtasdt0(W0,W2)=W1)))).
% 2.54/2.72 all W0 (aElement0(W0)-> (all W1 (aDivisorOf0(W1,W0)<->aElement0(W1)&doDivides0(W1,W0)))).
% 2.54/2.72 all W0 W1 (aElement0(W0)&aElement0(W1)-> (all W2 (aGcdOfAnd0(W2,W0,W1)<->aDivisorOf0(W2,W0)&aDivisorOf0(W2,W1)& (all W3 (aDivisorOf0(W3,W0)&aDivisorOf0(W3,W1)->doDivides0(W3,W2)))))).
% 2.54/2.72 all W0 W1 (aElement0(W0)&aElement0(W1)-> (misRelativelyPrime0(W0,W1)<->aGcdOfAnd0(sz10,W0,W1))).
% 2.54/2.72 all W0 (aElement0(W0)-> (all W1 (W1=slsdtgt0(W0)<->aSet0(W1)& (all W2 (aElementOf0(W2,W1)<-> (exists W3 (aElement0(W3)&sdtasdt0(W0,W3)=W2))))))).
% 2.54/2.72 all W0 (aElement0(W0)->aIdeal0(slsdtgt0(W0))).
% 2.54/2.72 aElement0(xa).
% 2.54/2.72 aElement0(xb).
% 2.54/2.72 xa!=sz00|xb!=sz00.
% 2.54/2.72 aElement0(xc).
% 2.54/2.72 exists W0 (aElement0(W0)&sdtasdt0(xc,W0)=xa).
% 2.54/2.72 doDivides0(xc,xa).
% 2.54/2.72 aDivisorOf0(xc,xa).
% 2.54/2.72 aElement0(xc).
% 2.54/2.72 exists W0 (aElement0(W0)&sdtasdt0(xc,W0)=xb).
% 2.54/2.72 doDivides0(xc,xb).
% 2.54/2.72 aDivisorOf0(xc,xb).
% 2.54/2.72 all W0 ((aElement0(W0)& ((exists W1 (aElement0(W1)&sdtasdt0(W0,W1)=xa))|doDivides0(W0,xa))|aDivisorOf0(W0,xa))& ((exists W1 (aElement0(W1)&sdtasdt0(W0,W1)=xb))|doDivides0(W0,xb)|aDivisorOf0(W0,xb))-> (exists W1 (aElement0(W1)&sdtasdt0(W0,W1)=xc))&doDivides0(W0,xc)).
% 2.54/2.72 aGcdOfAnd0(xc,xa,xb).
% 2.54/2.72 aSet0(xI).
% 2.54/2.72 all W0 (aElementOf0(W0,xI)-> (all W1 (aElementOf0(W1,xI)->aElementOf0(sdtpldt0(W0,W1),xI)))& (all W1 (aElement0(W1)->aElementOf0(sdtasdt0(W1,W0),xI)))).
% 2.54/2.72 aIdeal0(xI).
% 2.54/2.72 all W0 (aElementOf0(W0,slsdtgt0(xa))<-> (exists W1 (aElement0(W1)&sdtasdt0(xa,W1)=W0))).
% 2.54/2.72 all W0 (aElementOf0(W0,slsdtgt0(xb))<-> (exists W1 (aElement0(W1)&sdtasdt0(xb,W1)=W0))).
% 2.54/2.72 all W0 (aElementOf0(W0,xI)<-> (exists W1 W2 (aElementOf0(W1,slsdtgt0(xa))&aElementOf0(W2,slsdtgt0(xb))&sdtpldt0(W1,W2)=W0))).
% 2.54/2.72 xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)).
% 2.54/2.72 exists W0 (aElement0(W0)&sdtasdt0(xa,W0)=sz00).
% 2.54/2.72 aElementOf0(sz00,slsdtgt0(xa)).
% 2.54/2.72 exists W0 (aElement0(W0)&sdtasdt0(xa,W0)=xa).
% 2.54/2.72 aElementOf0(xa,slsdtgt0(xa)).
% 2.54/2.72 exists W0 (aElement0(W0)&sdtasdt0(xb,W0)=sz00).
% 2.54/2.72 aElementOf0(sz00,slsdtgt0(xb)).
% 2.54/2.72 exists W0 (aElement0(W0)&sdtasdt0(xb,W0)=xb).
% 2.54/2.72 aElementOf0(xb,slsdtgt0(xb)).
% 2.54/2.72 exists W0 ((all W1 (aElementOf0(W1,slsdtgt0(xa))<-> (exists W2 (aElement0(W2)&sdtasdt0(xa,W2)=W1))))& (all W1 (aElementOf0(W1,slsdtgt0(xb))<-> (exists W2 (aElement0(W2)&sdtasdt0(xb,W2)=W1))))& (exists W1 W2 (aElementOf0(W1,slsdtgt0(xa))&aElementOf0(W2,slsdtgt0(xb))&sdtpldt0(W1,W2)=W0))&aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))&W0!=sz00).
% 2.54/2.72 exists W0 W1 (aElementOf0(W0,slsdtgt0(xa))&aElementOf0(W1,slsdtgt0(xb))&sdtpldt0(W0,W1)=xu).
% 2.54/2.72 aElementOf0(xu,xI).
% 2.54/2.72 xu!=sz00.
% 2.54/2.72 all W0 (((exists W1 W2 (aElementOf0(W1,slsdtgt0(xa))&aElementOf0(W2,slsdtgt0(xb))&sdtpldt0(W1,W2)=W0))|aElementOf0(W0,xI))&W0!=sz00-> -iLess0(sbrdtbr0(W0),sbrdtbr0(xu))).
% 2.54/2.72 -(((exists W0 (aElement0(W0)&sdtasdt0(xu,W0)=xa))|doDivides0(xu,xa)|aDivisorOf0(xu,xa))& ((exists W0 (aElement0(W0)&sdtasdt0(xu,W0)=xb))|doDivides0(xu,xb)|aDivisorOf0(xu,xb))).
% 2.54/2.72 exists W0 W1 (aElement0(W0)&aElement0(W1)&xu=sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1))).
% 2.54/2.72 -(-((exists W0 (aElement0(W0)&sdtasdt0(xu,W0)=xa))&doDivides0(xu,xa))).
% 2.54/2.72 -((exists W0 (aElement0(W0)&sdtasdt0(xu,W0)=xb))|doDivides0(xu,xb)).
% 2.54/2.72 aElement0(xq).
% 2.54/2.72 aElement0(xr).
% 2.54/2.72 xb=sdtpldt0(sdtasdt0(xq,xu),xr).
% 2.54/2.72 xr=sz00|iLess0(sbrdtbr0(xr),sbrdtbr0(xu)).
% 2.54/2.72 xr!=sz00.
% 2.54/2.72 exists W0 W1 (aElementOf0(W0,slsdtgt0(xa))&aElementOf0(W1,slsdtgt0(xb))&sdtpldt0(W0,W1)=smndt0(sdtasdt0(xq,xu))).
% 2.54/2.72 aElementOf0(smndt0(sdtasdt0(xq,xu)),xI).
% 2.54/2.72 -((exists W0 W1 (aElementOf0(W0,slsdtgt0(xa))&aElementOf0(W1,slsdtgt0(xb))&sdtpldt0(W0,W1)=xb))| (exists W0 W1 (aElementOf0(W0,slsdtgt0(xa))&aElementOf0(W1,slsdtgt0(xb))&sdtpldt0(W0,W1)=xb))|aElementOf0(xb,xI)).
% 2.54/2.72 end_of_list.
% 2.54/2.72
% 2.54/2.72 -------> usable clausifies to:
% 2.54/2.72
% 2.54/2.72 list(usable).
% 2.54/2.72 0 [] A=A.
% 2.54/2.72 0 [] -aElement0(W0)|$T.
% 2.54/2.72 0 [] aElement0(sz00).
% 2.54/2.72 0 [] aElement0(sz10).
% 2.54/2.72 0 [] -aElement0(W0)|aElement0(smndt0(W0)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|aElement0(sdtpldt0(W0,W1)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|aElement0(sdtasdt0(W0,W1)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)| -aElement0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 2.54/2.72 0 [] -aElement0(W0)|sdtpldt0(W0,sz00)=W0.
% 2.54/2.72 0 [] -aElement0(W0)|W0=sdtpldt0(sz00,W0).
% 2.54/2.72 0 [] -aElement0(W0)|sdtpldt0(W0,smndt0(W0))=sz00.
% 2.54/2.72 0 [] -aElement0(W0)|sz00=sdtpldt0(smndt0(W0),W0).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)| -aElement0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 2.54/2.72 0 [] -aElement0(W0)|sdtasdt0(W0,sz10)=W0.
% 2.54/2.72 0 [] -aElement0(W0)|W0=sdtasdt0(sz10,W0).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)| -aElement0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)| -aElement0(W2)|sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 2.54/2.72 0 [] -aElement0(W0)|sdtasdt0(smndt0(sz10),W0)=smndt0(W0).
% 2.54/2.72 0 [] -aElement0(W0)|smndt0(W0)=sdtasdt0(W0,smndt0(sz10)).
% 2.54/2.72 0 [] -aElement0(W0)|sdtasdt0(W0,sz00)=sz00.
% 2.54/2.72 0 [] -aElement0(W0)|sz00=sdtasdt0(sz00,W0).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|sdtasdt0(W0,W1)!=sz00|W0=sz00|W1=sz00.
% 2.54/2.72 0 [] sz10!=sz00.
% 2.54/2.72 0 [] -aSet0(W0)|$T.
% 2.54/2.72 0 [] -aSet0(W0)| -aElementOf0(W1,W0)|aElement0(W1).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|aElementOf0($f1(W0,W1),W0)|aElementOf0($f2(W0,W1),W1)|W0=W1.
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|aElementOf0($f1(W0,W1),W0)| -aElementOf0($f2(W0,W1),W0)|W0=W1.
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)| -aElementOf0($f1(W0,W1),W1)|aElementOf0($f2(W0,W1),W1)|W0=W1.
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)| -aElementOf0($f1(W0,W1),W1)| -aElementOf0($f2(W0,W1),W0)|W0=W1.
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2!=sdtpldt1(W0,W1)|aSet0(W2).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2!=sdtpldt1(W0,W1)| -aElementOf0(W3,W2)|aElementOf0($f4(W0,W1,W2,W3),W0).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2!=sdtpldt1(W0,W1)| -aElementOf0(W3,W2)|aElementOf0($f3(W0,W1,W2,W3),W1).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2!=sdtpldt1(W0,W1)| -aElementOf0(W3,W2)|sdtpldt0($f4(W0,W1,W2,W3),$f3(W0,W1,W2,W3))=W3.
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2!=sdtpldt1(W0,W1)|aElementOf0(W3,W2)| -aElementOf0(W4,W0)| -aElementOf0(W5,W1)|sdtpldt0(W4,W5)!=W3.
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2=sdtpldt1(W0,W1)| -aSet0(W2)|aElementOf0($f7(W0,W1,W2),W2)|aElementOf0($f6(W0,W1,W2),W0).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2=sdtpldt1(W0,W1)| -aSet0(W2)|aElementOf0($f7(W0,W1,W2),W2)|aElementOf0($f5(W0,W1,W2),W1).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2=sdtpldt1(W0,W1)| -aSet0(W2)|aElementOf0($f7(W0,W1,W2),W2)|sdtpldt0($f6(W0,W1,W2),$f5(W0,W1,W2))=$f7(W0,W1,W2).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2=sdtpldt1(W0,W1)| -aSet0(W2)| -aElementOf0($f7(W0,W1,W2),W2)| -aElementOf0(X1,W0)| -aElementOf0(X2,W1)|sdtpldt0(X1,X2)!=$f7(W0,W1,W2).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2!=sdtasasdt0(W0,W1)|aSet0(W2).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2!=sdtasasdt0(W0,W1)| -aElementOf0(W3,W2)|aElementOf0(W3,W0).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2!=sdtasasdt0(W0,W1)| -aElementOf0(W3,W2)|aElementOf0(W3,W1).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2!=sdtasasdt0(W0,W1)|aElementOf0(W3,W2)| -aElementOf0(W3,W0)| -aElementOf0(W3,W1).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2=sdtasasdt0(W0,W1)| -aSet0(W2)|aElementOf0($f8(W0,W1,W2),W2)|aElementOf0($f8(W0,W1,W2),W0).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2=sdtasasdt0(W0,W1)| -aSet0(W2)|aElementOf0($f8(W0,W1,W2),W2)|aElementOf0($f8(W0,W1,W2),W1).
% 2.54/2.72 0 [] -aSet0(W0)| -aSet0(W1)|W2=sdtasasdt0(W0,W1)| -aSet0(W2)| -aElementOf0($f8(W0,W1,W2),W2)| -aElementOf0($f8(W0,W1,W2),W0)| -aElementOf0($f8(W0,W1,W2),W1).
% 2.54/2.72 0 [] -aIdeal0(W0)|aSet0(W0).
% 2.54/2.72 0 [] -aIdeal0(W0)| -aElementOf0(W1,W0)| -aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0).
% 2.54/2.72 0 [] -aIdeal0(W0)| -aElementOf0(W1,W0)| -aElement0(X3)|aElementOf0(sdtasdt0(X3,W1),W0).
% 2.54/2.72 0 [] aIdeal0(W0)| -aSet0(W0)|aElementOf0($f11(W0),W0).
% 2.54/2.72 0 [] aIdeal0(W0)| -aSet0(W0)|aElementOf0($f9(W0),W0)|aElement0($f10(W0)).
% 2.54/2.72 0 [] aIdeal0(W0)| -aSet0(W0)|aElementOf0($f9(W0),W0)| -aElementOf0(sdtasdt0($f10(W0),$f11(W0)),W0).
% 2.54/2.72 0 [] aIdeal0(W0)| -aSet0(W0)| -aElementOf0(sdtpldt0($f11(W0),$f9(W0)),W0)|aElement0($f10(W0)).
% 2.54/2.72 0 [] aIdeal0(W0)| -aSet0(W0)| -aElementOf0(sdtpldt0($f11(W0),$f9(W0)),W0)| -aElementOf0(sdtasdt0($f10(W0),$f11(W0)),W0).
% 2.54/2.72 0 [] -aIdeal0(W0)| -aIdeal0(W1)|aIdeal0(sdtpldt1(W0,W1)).
% 2.54/2.72 0 [] -aIdeal0(W0)| -aIdeal0(W1)|aIdeal0(sdtasasdt0(W0,W1)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)| -aIdeal0(W2)| -sdte_qdtlpzmzozddtrp0(W0,W1,W2)|aElementOf0(sdtpldt0(W0,smndt0(W1)),W2).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)| -aIdeal0(W2)|sdte_qdtlpzmzozddtrp0(W0,W1,W2)| -aElementOf0(sdtpldt0(W0,smndt0(W1)),W2).
% 2.54/2.72 0 [] -aIdeal0(W0)| -aIdeal0(W1)|aElement0($f12(W0,W1))| -aElement0(W2)| -aElement0(W3)|aElement0($f13(W0,W1,W2,W3)).
% 2.54/2.72 0 [] -aIdeal0(W0)| -aIdeal0(W1)|aElement0($f12(W0,W1))| -aElement0(W2)| -aElement0(W3)|sdte_qdtlpzmzozddtrp0($f13(W0,W1,W2,W3),W2,W0).
% 2.54/2.72 0 [] -aIdeal0(W0)| -aIdeal0(W1)|aElement0($f12(W0,W1))| -aElement0(W2)| -aElement0(W3)|sdte_qdtlpzmzozddtrp0($f13(W0,W1,W2,W3),W3,W1).
% 2.54/2.72 0 [] -aIdeal0(W0)| -aIdeal0(W1)| -aElementOf0($f12(W0,W1),sdtpldt1(W0,W1))| -aElement0(W2)| -aElement0(W3)|aElement0($f13(W0,W1,W2,W3)).
% 2.54/2.72 0 [] -aIdeal0(W0)| -aIdeal0(W1)| -aElementOf0($f12(W0,W1),sdtpldt1(W0,W1))| -aElement0(W2)| -aElement0(W3)|sdte_qdtlpzmzozddtrp0($f13(W0,W1,W2,W3),W2,W0).
% 2.54/2.72 0 [] -aIdeal0(W0)| -aIdeal0(W1)| -aElementOf0($f12(W0,W1),sdtpldt1(W0,W1))| -aElement0(W2)| -aElement0(W3)|sdte_qdtlpzmzozddtrp0($f13(W0,W1,W2,W3),W3,W1).
% 2.54/2.72 0 [] -aNaturalNumber0(W0)|$T.
% 2.54/2.72 0 [] -aElement0(W0)|W0=sz00|aNaturalNumber0(sbrdtbr0(W0)).
% 2.54/2.72 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T.
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|W1=sz00|aElement0($f15(W0,W1)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|W1=sz00|aElement0($f14(W0,W1)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|W1=sz00|W0=sdtpldt0(sdtasdt0($f15(W0,W1),W1),$f14(W0,W1)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|W1=sz00|$f14(W0,W1)=sz00|iLess0(sbrdtbr0($f14(W0,W1)),sbrdtbr0(W1)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)| -doDivides0(W0,W1)|aElement0($f16(W0,W1)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)| -doDivides0(W0,W1)|sdtasdt0(W0,$f16(W0,W1))=W1.
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|doDivides0(W0,W1)| -aElement0(W2)|sdtasdt0(W0,W2)!=W1.
% 2.54/2.72 0 [] -aElement0(W0)| -aDivisorOf0(W1,W0)|aElement0(W1).
% 2.54/2.72 0 [] -aElement0(W0)| -aDivisorOf0(W1,W0)|doDivides0(W1,W0).
% 2.54/2.72 0 [] -aElement0(W0)|aDivisorOf0(W1,W0)| -aElement0(W1)| -doDivides0(W1,W0).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)| -aGcdOfAnd0(W2,W0,W1)|aDivisorOf0(W2,W0).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)| -aGcdOfAnd0(W2,W0,W1)|aDivisorOf0(W2,W1).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)| -aGcdOfAnd0(W2,W0,W1)| -aDivisorOf0(W3,W0)| -aDivisorOf0(W3,W1)|doDivides0(W3,W2).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|aGcdOfAnd0(W2,W0,W1)| -aDivisorOf0(W2,W0)| -aDivisorOf0(W2,W1)|aDivisorOf0($f17(W0,W1,W2),W0).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|aGcdOfAnd0(W2,W0,W1)| -aDivisorOf0(W2,W0)| -aDivisorOf0(W2,W1)|aDivisorOf0($f17(W0,W1,W2),W1).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|aGcdOfAnd0(W2,W0,W1)| -aDivisorOf0(W2,W0)| -aDivisorOf0(W2,W1)| -doDivides0($f17(W0,W1,W2),W2).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)| -misRelativelyPrime0(W0,W1)|aGcdOfAnd0(sz10,W0,W1).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|misRelativelyPrime0(W0,W1)| -aGcdOfAnd0(sz10,W0,W1).
% 2.54/2.72 0 [] -aElement0(W0)|W1!=slsdtgt0(W0)|aSet0(W1).
% 2.54/2.72 0 [] -aElement0(W0)|W1!=slsdtgt0(W0)| -aElementOf0(W2,W1)|aElement0($f18(W0,W1,W2)).
% 2.54/2.72 0 [] -aElement0(W0)|W1!=slsdtgt0(W0)| -aElementOf0(W2,W1)|sdtasdt0(W0,$f18(W0,W1,W2))=W2.
% 2.54/2.72 0 [] -aElement0(W0)|W1!=slsdtgt0(W0)|aElementOf0(W2,W1)| -aElement0(W3)|sdtasdt0(W0,W3)!=W2.
% 2.54/2.72 0 [] -aElement0(W0)|W1=slsdtgt0(W0)| -aSet0(W1)|aElementOf0($f20(W0,W1),W1)|aElement0($f19(W0,W1)).
% 2.54/2.72 0 [] -aElement0(W0)|W1=slsdtgt0(W0)| -aSet0(W1)|aElementOf0($f20(W0,W1),W1)|sdtasdt0(W0,$f19(W0,W1))=$f20(W0,W1).
% 2.54/2.72 0 [] -aElement0(W0)|W1=slsdtgt0(W0)| -aSet0(W1)| -aElementOf0($f20(W0,W1),W1)| -aElement0(X4)|sdtasdt0(W0,X4)!=$f20(W0,W1).
% 2.54/2.72 0 [] -aElement0(W0)|aIdeal0(slsdtgt0(W0)).
% 2.54/2.72 0 [] aElement0(xa).
% 2.54/2.72 0 [] aElement0(xb).
% 2.54/2.72 0 [] xa!=sz00|xb!=sz00.
% 2.54/2.72 0 [] aElement0(xc).
% 2.54/2.72 0 [] aElement0($c1).
% 2.54/2.72 0 [] sdtasdt0(xc,$c1)=xa.
% 2.54/2.72 0 [] doDivides0(xc,xa).
% 2.54/2.72 0 [] aDivisorOf0(xc,xa).
% 2.54/2.72 0 [] aElement0(xc).
% 2.54/2.72 0 [] aElement0($c2).
% 2.54/2.72 0 [] sdtasdt0(xc,$c2)=xb.
% 2.54/2.72 0 [] doDivides0(xc,xb).
% 2.54/2.72 0 [] aDivisorOf0(xc,xb).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|sdtasdt0(W0,W1)!=xa| -aElement0(X5)|sdtasdt0(W0,X5)!=xb|aElement0($f21(W0)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|sdtasdt0(W0,W1)!=xa| -aElement0(X5)|sdtasdt0(W0,X5)!=xb|sdtasdt0(W0,$f21(W0))=xc.
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|sdtasdt0(W0,W1)!=xa| -aElement0(X5)|sdtasdt0(W0,X5)!=xb|doDivides0(W0,xc).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|sdtasdt0(W0,W1)!=xa| -doDivides0(W0,xb)|aElement0($f21(W0)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|sdtasdt0(W0,W1)!=xa| -doDivides0(W0,xb)|sdtasdt0(W0,$f21(W0))=xc.
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|sdtasdt0(W0,W1)!=xa| -doDivides0(W0,xb)|doDivides0(W0,xc).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|sdtasdt0(W0,W1)!=xa| -aDivisorOf0(W0,xb)|aElement0($f21(W0)).
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|sdtasdt0(W0,W1)!=xa| -aDivisorOf0(W0,xb)|sdtasdt0(W0,$f21(W0))=xc.
% 2.54/2.72 0 [] -aElement0(W0)| -aElement0(W1)|sdtasdt0(W0,W1)!=xa| -aDivisorOf0(W0,xb)|doDivides0(W0,xc).
% 2.54/2.72 0 [] -aElement0(W0)| -doDivides0(W0,xa)| -aElement0(X5)|sdtasdt0(W0,X5)!=xb|aElement0($f21(W0)).
% 2.54/2.72 0 [] -aElement0(W0)| -doDivides0(W0,xa)| -aElement0(X5)|sdtasdt0(W0,X5)!=xb|sdtasdt0(W0,$f21(W0))=xc.
% 2.54/2.72 0 [] -aElement0(W0)| -doDivides0(W0,xa)| -aElement0(X5)|sdtasdt0(W0,X5)!=xb|doDivides0(W0,xc).
% 2.54/2.72 0 [] -aElement0(W0)| -doDivides0(W0,xa)| -doDivides0(W0,xb)|aElement0($f21(W0)).
% 2.54/2.72 0 [] -aElement0(W0)| -doDivides0(W0,xa)| -doDivides0(W0,xb)|sdtasdt0(W0,$f21(W0))=xc.
% 2.54/2.72 0 [] -aElement0(W0)| -doDivides0(W0,xa)| -doDivides0(W0,xb)|doDivides0(W0,xc).
% 2.54/2.72 0 [] -aElement0(W0)| -doDivides0(W0,xa)| -aDivisorOf0(W0,xb)|aElement0($f21(W0)).
% 2.54/2.72 0 [] -aElement0(W0)| -doDivides0(W0,xa)| -aDivisorOf0(W0,xb)|sdtasdt0(W0,$f21(W0))=xc.
% 2.54/2.72 0 [] -aElement0(W0)| -doDivides0(W0,xa)| -aDivisorOf0(W0,xb)|doDivides0(W0,xc).
% 2.54/2.72 0 [] -aDivisorOf0(W0,xa)| -aElement0(X5)|sdtasdt0(W0,X5)!=xb|aElement0($f21(W0)).
% 2.54/2.72 0 [] -aDivisorOf0(W0,xa)| -aElement0(X5)|sdtasdt0(W0,X5)!=xb|sdtasdt0(W0,$f21(W0))=xc.
% 2.54/2.72 0 [] -aDivisorOf0(W0,xa)| -aElement0(X5)|sdtasdt0(W0,X5)!=xb|doDivides0(W0,xc).
% 2.54/2.72 0 [] -aDivisorOf0(W0,xa)| -doDivides0(W0,xb)|aElement0($f21(W0)).
% 2.54/2.72 0 [] -aDivisorOf0(W0,xa)| -doDivides0(W0,xb)|sdtasdt0(W0,$f21(W0))=xc.
% 2.54/2.72 0 [] -aDivisorOf0(W0,xa)| -doDivides0(W0,xb)|doDivides0(W0,xc).
% 2.54/2.72 0 [] -aDivisorOf0(W0,xa)| -aDivisorOf0(W0,xb)|aElement0($f21(W0)).
% 2.54/2.72 0 [] -aDivisorOf0(W0,xa)| -aDivisorOf0(W0,xb)|sdtasdt0(W0,$f21(W0))=xc.
% 2.54/2.72 0 [] -aDivisorOf0(W0,xa)| -aDivisorOf0(W0,xb)|doDivides0(W0,xc).
% 2.54/2.72 0 [] aGcdOfAnd0(xc,xa,xb).
% 2.54/2.72 0 [] aSet0(xI).
% 2.54/2.72 0 [] -aElementOf0(W0,xI)| -aElementOf0(W1,xI)|aElementOf0(sdtpldt0(W0,W1),xI).
% 2.54/2.72 0 [] -aElementOf0(W0,xI)| -aElement0(X6)|aElementOf0(sdtasdt0(X6,W0),xI).
% 2.54/2.72 0 [] aIdeal0(xI).
% 2.54/2.72 0 [] -aElementOf0(W0,slsdtgt0(xa))|aElement0($f22(W0)).
% 2.54/2.72 0 [] -aElementOf0(W0,slsdtgt0(xa))|sdtasdt0(xa,$f22(W0))=W0.
% 2.54/2.72 0 [] aElementOf0(W0,slsdtgt0(xa))| -aElement0(W1)|sdtasdt0(xa,W1)!=W0.
% 2.54/2.72 0 [] -aElementOf0(W0,slsdtgt0(xb))|aElement0($f23(W0)).
% 2.54/2.72 0 [] -aElementOf0(W0,slsdtgt0(xb))|sdtasdt0(xb,$f23(W0))=W0.
% 2.54/2.72 0 [] aElementOf0(W0,slsdtgt0(xb))| -aElement0(W1)|sdtasdt0(xb,W1)!=W0.
% 2.54/2.72 0 [] -aElementOf0(W0,xI)|aElementOf0($f25(W0),slsdtgt0(xa)).
% 2.54/2.72 0 [] -aElementOf0(W0,xI)|aElementOf0($f24(W0),slsdtgt0(xb)).
% 2.54/2.72 0 [] -aElementOf0(W0,xI)|sdtpldt0($f25(W0),$f24(W0))=W0.
% 2.54/2.72 0 [] aElementOf0(W0,xI)| -aElementOf0(W1,slsdtgt0(xa))| -aElementOf0(W2,slsdtgt0(xb))|sdtpldt0(W1,W2)!=W0.
% 2.54/2.72 0 [] xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)).
% 2.54/2.72 0 [] aElement0($c3).
% 2.54/2.72 0 [] sdtasdt0(xa,$c3)=sz00.
% 2.54/2.72 0 [] aElementOf0(sz00,slsdtgt0(xa)).
% 2.54/2.72 0 [] aElement0($c4).
% 2.54/2.72 0 [] sdtasdt0(xa,$c4)=xa.
% 2.54/2.72 0 [] aElementOf0(xa,slsdtgt0(xa)).
% 2.54/2.72 0 [] aElement0($c5).
% 2.54/2.72 0 [] sdtasdt0(xb,$c5)=sz00.
% 2.54/2.72 0 [] aElementOf0(sz00,slsdtgt0(xb)).
% 2.54/2.72 0 [] aElement0($c6).
% 2.54/2.72 0 [] sdtasdt0(xb,$c6)=xb.
% 2.54/2.72 0 [] aElementOf0(xb,slsdtgt0(xb)).
% 2.54/2.72 0 [] -aElementOf0(W1,slsdtgt0(xa))|aElement0($f26(W1)).
% 2.54/2.72 0 [] -aElementOf0(W1,slsdtgt0(xa))|sdtasdt0(xa,$f26(W1))=W1.
% 2.54/2.72 0 [] aElementOf0(W1,slsdtgt0(xa))| -aElement0(W2)|sdtasdt0(xa,W2)!=W1.
% 2.54/2.72 0 [] -aElementOf0(X7,slsdtgt0(xb))|aElement0($f27(X7)).
% 2.54/2.72 0 [] -aElementOf0(X7,slsdtgt0(xb))|sdtasdt0(xb,$f27(X7))=X7.
% 2.54/2.72 0 [] aElementOf0(X7,slsdtgt0(xb))| -aElement0(X8)|sdtasdt0(xb,X8)!=X7.
% 2.54/2.72 0 [] aElementOf0($c8,slsdtgt0(xa)).
% 2.54/2.72 0 [] aElementOf0($c7,slsdtgt0(xb)).
% 2.54/2.72 0 [] sdtpldt0($c8,$c7)=$c9.
% 2.54/2.72 0 [] aElementOf0($c9,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))).
% 2.54/2.72 0 [] $c9!=sz00.
% 2.54/2.72 0 [] aElementOf0($c11,slsdtgt0(xa)).
% 2.54/2.72 0 [] aElementOf0($c10,slsdtgt0(xb)).
% 2.54/2.72 0 [] sdtpldt0($c11,$c10)=xu.
% 2.54/2.72 0 [] aElementOf0(xu,xI).
% 2.54/2.72 0 [] xu!=sz00.
% 2.54/2.72 0 [] -aElementOf0(W1,slsdtgt0(xa))| -aElementOf0(W2,slsdtgt0(xb))|sdtpldt0(W1,W2)!=W0|W0=sz00| -iLess0(sbrdtbr0(W0),sbrdtbr0(xu)).
% 2.54/2.72 0 [] -aElementOf0(W0,xI)|W0=sz00| -iLess0(sbrdtbr0(W0),sbrdtbr0(xu)).
% 2.54/2.72 0 [] -aElement0(W0)|sdtasdt0(xu,W0)!=xa| -aElement0(X9)|sdtasdt0(xu,X9)!=xb.
% 2.54/2.72 0 [] -aElement0(W0)|sdtasdt0(xu,W0)!=xa| -doDivides0(xu,xb).
% 2.54/2.72 0 [] -aElement0(W0)|sdtasdt0(xu,W0)!=xa| -aDivisorOf0(xu,xb).
% 2.54/2.72 0 [] -doDivides0(xu,xa)| -aElement0(X9)|sdtasdt0(xu,X9)!=xb.
% 2.54/2.72 0 [] -doDivides0(xu,xa)| -doDivides0(xu,xb).
% 2.54/2.72 0 [] -doDivides0(xu,xa)| -aDivisorOf0(xu,xb).
% 2.54/2.72 0 [] -aDivisorOf0(xu,xa)| -aElement0(X9)|sdtasdt0(xu,X9)!=xb.
% 2.54/2.72 0 [] -aDivisorOf0(xu,xa)| -doDivides0(xu,xb).
% 2.54/2.72 0 [] -aDivisorOf0(xu,xa)| -aDivisorOf0(xu,xb).
% 2.54/2.72 0 [] aElement0($c13).
% 2.54/2.72 0 [] aElement0($c12).
% 2.54/2.72 0 [] xu=sdtpldt0(sdtasdt0(xa,$c13),sdtasdt0(xb,$c12)).
% 2.54/2.72 0 [] aElement0($c14).
% 2.54/2.72 0 [] sdtasdt0(xu,$c14)=xa.
% 2.54/2.72 0 [] doDivides0(xu,xa).
% 2.54/2.72 0 [] -aElement0(W0)|sdtasdt0(xu,W0)!=xb.
% 2.54/2.72 0 [] -doDivides0(xu,xb).
% 2.54/2.72 0 [] aElement0(xq).
% 2.54/2.72 0 [] aElement0(xr).
% 2.54/2.72 0 [] xb=sdtpldt0(sdtasdt0(xq,xu),xr).
% 2.54/2.72 0 [] xr=sz00|iLess0(sbrdtbr0(xr),sbrdtbr0(xu)).
% 2.54/2.72 0 [] xr!=sz00.
% 2.54/2.72 0 [] aElementOf0($c16,slsdtgt0(xa)).
% 2.54/2.72 0 [] aElementOf0($c15,slsdtgt0(xb)).
% 2.54/2.72 0 [] sdtpldt0($c16,$c15)=smndt0(sdtasdt0(xq,xu)).
% 2.54/2.72 0 [] aElementOf0(smndt0(sdtasdt0(xq,xu)),xI).
% 2.54/2.72 0 [] -aElementOf0(W0,slsdtgt0(xa))| -aElementOf0(W1,slsdtgt0(xb))|sdtpldt0(W0,W1)!=xb.
% 2.54/2.72 0 [] -aElementOf0(X10,slsdtgt0(xa))| -aElementOf0(X11,slsdtgt0(xb))|sdtpldt0(X10,X11)!=xb.
% 2.54/2.72 0 [] -aElementOf0(xb,xI).
% 2.54/2.72 end_of_list.
% 2.54/2.72
% 2.54/2.72 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 2.54/2.72
% 2.54/2.72 This ia a non-Horn set with equality. The strategy will be
% 2.54/2.72 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.54/2.72 deletion, with positive clauses in sos and nonpositive
% 2.54/2.72 clauses in usable.
% 2.54/2.72
% 2.54/2.72 dependent: set(knuth_bendix).
% 2.54/2.72 dependent: set(anl_eq).
% 2.54/2.72 dependent: set(para_from).
% 2.54/2.72 dependent: set(para_into).
% 2.54/2.72 dependent: clear(para_from_right).
% 2.54/2.72 dependent: clear(para_into_right).
% 2.54/2.72 dependent: set(para_from_vars).
% 2.54/2.72 dependent: set(eq_units_both_ways).
% 2.54/2.72 dependent: set(dynamic_demod_all).
% 2.54/2.72 dependent: set(dynamic_demod).
% 2.54/2.72 dependent: set(order_eq).
% 2.54/2.72 dependent: set(back_demod).
% 2.54/2.72 dependent: set(lrpo).
% 2.54/2.72 dependent: set(hyper_res).
% 2.54/2.72 dependent: set(unit_deletion).
% 2.54/2.72 dependent: set(factor).
% 2.54/2.72
% 2.54/2.72 ------------> process usable:
% 2.54/2.72 ** KEPT (pick-wt=5): 1 [] -aElement0(A)|aElement0(smndt0(A)).
% 2.54/2.72 ** KEPT (pick-wt=8): 2 [] -aElement0(A)| -aElement0(B)|aElement0(sdtpldt0(A,B)).
% 2.54/2.72 ** KEPT (pick-wt=8): 3 [] -aElement0(A)| -aElement0(B)|aElement0(sdtasdt0(A,B)).
% 2.54/2.72 ** KEPT (pick-wt=11): 4 [] -aElement0(A)| -aElement0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 2.54/2.72 ** KEPT (pick-wt=17): 5 [] -aElement0(A)| -aElement0(B)| -aElement0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 2.54/2.72 ** KEPT (pick-wt=7): 6 [] -aElement0(A)|sdtpldt0(A,sz00)=A.
% 2.54/2.72 ** KEPT (pick-wt=7): 8 [copy,7,flip.2] -aElement0(A)|sdtpldt0(sz00,A)=A.
% 2.54/2.72 ** KEPT (pick-wt=8): 9 [] -aElement0(A)|sdtpldt0(A,smndt0(A))=sz00.
% 2.54/2.72 ** KEPT (pick-wt=8): 11 [copy,10,flip.2] -aElement0(A)|sdtpldt0(smndt0(A),A)=sz00.
% 2.54/2.72 ** KEPT (pick-wt=11): 12 [] -aElement0(A)| -aElement0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 2.54/2.72 ** KEPT (pick-wt=17): 13 [] -aElement0(A)| -aElement0(B)| -aElement0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 2.54/2.72 ** KEPT (pick-wt=7): 14 [] -aElement0(A)|sdtasdt0(A,sz10)=A.
% 2.54/2.72 ** KEPT (pick-wt=7): 16 [copy,15,flip.2] -aElement0(A)|sdtasdt0(sz10,A)=A.
% 2.54/2.72 ** KEPT (pick-wt=19): 18 [copy,17,flip.4] -aElement0(A)| -aElement0(B)| -aElement0(C)|sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C))=sdtasdt0(A,sdtpldt0(B,C)).
% 2.54/2.72 ** KEPT (pick-wt=19): 20 [copy,19,flip.4] -aElement0(A)| -aElement0(B)| -aElement0(C)|sdtpldt0(sdtasdt0(B,A),sdtasdt0(C,A))=sdtasdt0(sdtpldt0(B,C),A).
% 2.54/2.72 ** KEPT (pick-wt=9): 21 [] -aElement0(A)|sdtasdt0(smndt0(sz10),A)=smndt0(A).
% 2.54/2.72 ** KEPT (pick-wt=9): 22 [] -aElement0(A)|smndt0(A)=sdtasdt0(A,smndt0(sz10)).
% 2.54/2.72 ** KEPT (pick-wt=7): 23 [] -aElement0(A)|sdtasdt0(A,sz00)=sz00.
% 2.54/2.72 ** KEPT (pick-wt=7): 25 [copy,24,flip.2] -aElement0(A)|sdtasdt0(sz00,A)=sz00.
% 2.54/2.72 ** KEPT (pick-wt=15): 26 [] -aElement0(A)| -aElement0(B)|sdtasdt0(A,B)!=sz00|A=sz00|B=sz00.
% 2.54/2.72 ** KEPT (pick-wt=3): 27 [] sz10!=sz00.
% 2.54/2.72 ** KEPT (pick-wt=7): 28 [] -aSet0(A)| -aElementOf0(B,A)|aElement0(B).
% 2.54/2.72 ** KEPT (pick-wt=17): 29 [] -aSet0(A)| -aSet0(B)|aElementOf0($f1(A,B),A)|aElementOf0($f2(A,B),B)|A=B.
% 2.54/2.72 ** KEPT (pick-wt=17): 30 [] -aSet0(A)| -aSet0(B)|aElementOf0($f1(A,B),A)| -aElementOf0($f2(A,B),A)|A=B.
% 2.54/2.72 ** KEPT (pick-wt=17): 31 [] -aSet0(A)| -aSet0(B)| -aElementOf0($f1(A,B),B)|aElementOf0($f2(A,B),B)|A=B.
% 2.54/2.72 ** KEPT (pick-wt=17): 32 [] -aSet0(A)| -aSet0(B)| -aElementOf0($f1(A,B),B)| -aElementOf0($f2(A,B),A)|A=B.
% 2.54/2.72 ** KEPT (pick-wt=11): 33 [] -aSet0(A)| -aSet0(B)|C!=sdtpldt1(A,B)|aSet0(C).
% 2.54/2.72 ** KEPT (pick-wt=19): 34 [] -aSet0(A)| -aSet0(B)|C!=sdtpldt1(A,B)| -aElementOf0(D,C)|aElementOf0($f4(A,B,C,D),A).
% 2.60/2.73 ** KEPT (pick-wt=19): 35 [] -aSet0(A)| -aSet0(B)|C!=sdtpldt1(A,B)| -aElementOf0(D,C)|aElementOf0($f3(A,B,C,D),B).
% 2.60/2.73 ** KEPT (pick-wt=25): 36 [] -aSet0(A)| -aSet0(B)|C!=sdtpldt1(A,B)| -aElementOf0(D,C)|sdtpldt0($f4(A,B,C,D),$f3(A,B,C,D))=D.
% 2.60/2.73 ** KEPT (pick-wt=23): 37 [] -aSet0(A)| -aSet0(B)|C!=sdtpldt1(A,B)|aElementOf0(D,C)| -aElementOf0(E,A)| -aElementOf0(F,B)|sdtpldt0(E,F)!=D.
% 2.60/2.73 ** KEPT (pick-wt=23): 38 [] -aSet0(A)| -aSet0(B)|C=sdtpldt1(A,B)| -aSet0(C)|aElementOf0($f7(A,B,C),C)|aElementOf0($f6(A,B,C),A).
% 2.60/2.73 ** KEPT (pick-wt=23): 39 [] -aSet0(A)| -aSet0(B)|C=sdtpldt1(A,B)| -aSet0(C)|aElementOf0($f7(A,B,C),C)|aElementOf0($f5(A,B,C),B).
% 2.60/2.73 ** KEPT (pick-wt=31): 40 [] -aSet0(A)| -aSet0(B)|C=sdtpldt1(A,B)| -aSet0(C)|aElementOf0($f7(A,B,C),C)|sdtpldt0($f6(A,B,C),$f5(A,B,C))=$f7(A,B,C).
% 2.60/2.73 ** KEPT (pick-wt=31): 41 [] -aSet0(A)| -aSet0(B)|C=sdtpldt1(A,B)| -aSet0(C)| -aElementOf0($f7(A,B,C),C)| -aElementOf0(D,A)| -aElementOf0(E,B)|sdtpldt0(D,E)!=$f7(A,B,C).
% 2.60/2.73 ** KEPT (pick-wt=11): 42 [] -aSet0(A)| -aSet0(B)|C!=sdtasasdt0(A,B)|aSet0(C).
% 2.60/2.73 ** KEPT (pick-wt=15): 43 [] -aSet0(A)| -aSet0(B)|C!=sdtasasdt0(A,B)| -aElementOf0(D,C)|aElementOf0(D,A).
% 2.60/2.73 ** KEPT (pick-wt=15): 44 [] -aSet0(A)| -aSet0(B)|C!=sdtasasdt0(A,B)| -aElementOf0(D,C)|aElementOf0(D,B).
% 2.60/2.73 ** KEPT (pick-wt=18): 45 [] -aSet0(A)| -aSet0(B)|C!=sdtasasdt0(A,B)|aElementOf0(D,C)| -aElementOf0(D,A)| -aElementOf0(D,B).
% 2.60/2.73 ** KEPT (pick-wt=23): 46 [] -aSet0(A)| -aSet0(B)|C=sdtasasdt0(A,B)| -aSet0(C)|aElementOf0($f8(A,B,C),C)|aElementOf0($f8(A,B,C),A).
% 2.60/2.73 ** KEPT (pick-wt=23): 47 [] -aSet0(A)| -aSet0(B)|C=sdtasasdt0(A,B)| -aSet0(C)|aElementOf0($f8(A,B,C),C)|aElementOf0($f8(A,B,C),B).
% 2.60/2.73 ** KEPT (pick-wt=29): 48 [] -aSet0(A)| -aSet0(B)|C=sdtasasdt0(A,B)| -aSet0(C)| -aElementOf0($f8(A,B,C),C)| -aElementOf0($f8(A,B,C),A)| -aElementOf0($f8(A,B,C),B).
% 2.60/2.73 ** KEPT (pick-wt=4): 49 [] -aIdeal0(A)|aSet0(A).
% 2.60/2.73 ** KEPT (pick-wt=13): 50 [] -aIdeal0(A)| -aElementOf0(B,A)| -aElementOf0(C,A)|aElementOf0(sdtpldt0(B,C),A).
% 2.60/2.73 ** KEPT (pick-wt=12): 51 [] -aIdeal0(A)| -aElementOf0(B,A)| -aElement0(C)|aElementOf0(sdtasdt0(C,B),A).
% 2.60/2.73 ** KEPT (pick-wt=8): 52 [] aIdeal0(A)| -aSet0(A)|aElementOf0($f11(A),A).
% 2.60/2.73 ** KEPT (pick-wt=11): 53 [] aIdeal0(A)| -aSet0(A)|aElementOf0($f9(A),A)|aElement0($f10(A)).
% 2.60/2.73 ** KEPT (pick-wt=15): 54 [] aIdeal0(A)| -aSet0(A)|aElementOf0($f9(A),A)| -aElementOf0(sdtasdt0($f10(A),$f11(A)),A).
% 2.60/2.73 ** KEPT (pick-wt=14): 55 [] aIdeal0(A)| -aSet0(A)| -aElementOf0(sdtpldt0($f11(A),$f9(A)),A)|aElement0($f10(A)).
% 2.60/2.73 ** KEPT (pick-wt=18): 56 [] aIdeal0(A)| -aSet0(A)| -aElementOf0(sdtpldt0($f11(A),$f9(A)),A)| -aElementOf0(sdtasdt0($f10(A),$f11(A)),A).
% 2.60/2.73 ** KEPT (pick-wt=8): 57 [] -aIdeal0(A)| -aIdeal0(B)|aIdeal0(sdtpldt1(A,B)).
% 2.60/2.73 ** KEPT (pick-wt=8): 58 [] -aIdeal0(A)| -aIdeal0(B)|aIdeal0(sdtasasdt0(A,B)).
% 2.60/2.73 ** KEPT (pick-wt=16): 59 [] -aElement0(A)| -aElement0(B)| -aIdeal0(C)| -sdte_qdtlpzmzozddtrp0(A,B,C)|aElementOf0(sdtpldt0(A,smndt0(B)),C).
% 2.60/2.73 ** KEPT (pick-wt=16): 60 [] -aElement0(A)| -aElement0(B)| -aIdeal0(C)|sdte_qdtlpzmzozddtrp0(A,B,C)| -aElementOf0(sdtpldt0(A,smndt0(B)),C).
% 2.60/2.73 ** KEPT (pick-wt=18): 61 [] -aIdeal0(A)| -aIdeal0(B)|aElement0($f12(A,B))| -aElement0(C)| -aElement0(D)|aElement0($f13(A,B,C,D)).
% 2.60/2.73 ** KEPT (pick-wt=20): 62 [] -aIdeal0(A)| -aIdeal0(B)|aElement0($f12(A,B))| -aElement0(C)| -aElement0(D)|sdte_qdtlpzmzozddtrp0($f13(A,B,C,D),C,A).
% 2.60/2.73 ** KEPT (pick-wt=20): 63 [] -aIdeal0(A)| -aIdeal0(B)|aElement0($f12(A,B))| -aElement0(C)| -aElement0(D)|sdte_qdtlpzmzozddtrp0($f13(A,B,C,D),D,B).
% 2.60/2.73 ** KEPT (pick-wt=21): 64 [] -aIdeal0(A)| -aIdeal0(B)| -aElementOf0($f12(A,B),sdtpldt1(A,B))| -aElement0(C)| -aElement0(D)|aElement0($f13(A,B,C,D)).
% 2.60/2.73 ** KEPT (pick-wt=23): 65 [] -aIdeal0(A)| -aIdeal0(B)| -aElementOf0($f12(A,B),sdtpldt1(A,B))| -aElement0(C)| -aElement0(D)|sdte_qdtlpzmzozddtrp0($f13(A,B,C,D),C,A).
% 2.60/2.73 ** KEPT (pick-wt=23): 66 [] -aIdeal0(A)| -aIdeal0(B)| -aElementOf0($f12(A,B),sdtpldt1(A,B))| -aElement0(C)| -aElement0(D)|sdte_qdtlpzmzozddtrp0($f13(A,B,C,D),D,B).
% 2.60/2.73 ** KEPT (pick-wt=8): 67 [] -aElement0(A)|A=sz00|aNaturalNumber0(sbrdtbr0(A)).
% 2.60/2.73 ** KEPT (pick-wt=11): 68 [] -aElement0(A)| -aElement0(B)|B=sz00|aElement0($f15(A,B)).
% 2.60/2.73 ** KEPT (pick-wt=11): 69 [] -aElement0(A)| -aElement0(B)|B=sz00|aElement0($f14(A,B)).
% 2.60/2.73 ** KEPT (pick-wt=18): 71 [copy,70,flip.4] -aElement0(A)| -aElement0(B)|B=sz00|sdtpldt0(sdtasdt0($f15(A,B),B),$f14(A,B))=A.
% 2.60/2.73 ** KEPT (pick-wt=19): 72 [] -aElement0(A)| -aElement0(B)|B=sz00|$f14(A,B)=sz00|iLess0(sbrdtbr0($f14(A,B)),sbrdtbr0(B)).
% 2.60/2.73 ** KEPT (pick-wt=11): 73 [] -aElement0(A)| -aElement0(B)| -doDivides0(A,B)|aElement0($f16(A,B)).
% 2.60/2.73 ** KEPT (pick-wt=14): 74 [] -aElement0(A)| -aElement0(B)| -doDivides0(A,B)|sdtasdt0(A,$f16(A,B))=B.
% 2.60/2.73 ** KEPT (pick-wt=14): 75 [] -aElement0(A)| -aElement0(B)|doDivides0(A,B)| -aElement0(C)|sdtasdt0(A,C)!=B.
% 2.60/2.73 ** KEPT (pick-wt=7): 76 [] -aElement0(A)| -aDivisorOf0(B,A)|aElement0(B).
% 2.60/2.73 ** KEPT (pick-wt=8): 77 [] -aElement0(A)| -aDivisorOf0(B,A)|doDivides0(B,A).
% 2.60/2.73 ** KEPT (pick-wt=10): 78 [] -aElement0(A)|aDivisorOf0(B,A)| -aElement0(B)| -doDivides0(B,A).
% 2.60/2.73 ** KEPT (pick-wt=11): 79 [] -aElement0(A)| -aElement0(B)| -aGcdOfAnd0(C,A,B)|aDivisorOf0(C,A).
% 2.60/2.73 ** KEPT (pick-wt=11): 80 [] -aElement0(A)| -aElement0(B)| -aGcdOfAnd0(C,A,B)|aDivisorOf0(C,B).
% 2.60/2.73 ** KEPT (pick-wt=17): 81 [] -aElement0(A)| -aElement0(B)| -aGcdOfAnd0(C,A,B)| -aDivisorOf0(D,A)| -aDivisorOf0(D,B)|doDivides0(D,C).
% 2.60/2.73 ** KEPT (pick-wt=20): 82 [] -aElement0(A)| -aElement0(B)|aGcdOfAnd0(C,A,B)| -aDivisorOf0(C,A)| -aDivisorOf0(C,B)|aDivisorOf0($f17(A,B,C),A).
% 2.60/2.73 ** KEPT (pick-wt=20): 83 [] -aElement0(A)| -aElement0(B)|aGcdOfAnd0(C,A,B)| -aDivisorOf0(C,A)| -aDivisorOf0(C,B)|aDivisorOf0($f17(A,B,C),B).
% 2.60/2.73 ** KEPT (pick-wt=20): 84 [] -aElement0(A)| -aElement0(B)|aGcdOfAnd0(C,A,B)| -aDivisorOf0(C,A)| -aDivisorOf0(C,B)| -doDivides0($f17(A,B,C),C).
% 2.60/2.73 ** KEPT (pick-wt=11): 85 [] -aElement0(A)| -aElement0(B)| -misRelativelyPrime0(A,B)|aGcdOfAnd0(sz10,A,B).
% 2.60/2.73 ** KEPT (pick-wt=11): 86 [] -aElement0(A)| -aElement0(B)|misRelativelyPrime0(A,B)| -aGcdOfAnd0(sz10,A,B).
% 2.60/2.73 ** KEPT (pick-wt=8): 87 [] -aElement0(A)|B!=slsdtgt0(A)|aSet0(B).
% 2.60/2.73 ** KEPT (pick-wt=14): 88 [] -aElement0(A)|B!=slsdtgt0(A)| -aElementOf0(C,B)|aElement0($f18(A,B,C)).
% 2.60/2.73 ** KEPT (pick-wt=17): 89 [] -aElement0(A)|B!=slsdtgt0(A)| -aElementOf0(C,B)|sdtasdt0(A,$f18(A,B,C))=C.
% 2.60/2.73 ** KEPT (pick-wt=16): 90 [] -aElement0(A)|B!=slsdtgt0(A)|aElementOf0(C,B)| -aElement0(D)|sdtasdt0(A,D)!=C.
% 2.60/2.73 ** KEPT (pick-wt=17): 91 [] -aElement0(A)|B=slsdtgt0(A)| -aSet0(B)|aElementOf0($f20(A,B),B)|aElement0($f19(A,B)).
% 2.60/2.73 ** KEPT (pick-wt=22): 92 [] -aElement0(A)|B=slsdtgt0(A)| -aSet0(B)|aElementOf0($f20(A,B),B)|sdtasdt0(A,$f19(A,B))=$f20(A,B).
% 2.60/2.73 ** KEPT (pick-wt=22): 93 [] -aElement0(A)|B=slsdtgt0(A)| -aSet0(B)| -aElementOf0($f20(A,B),B)| -aElement0(C)|sdtasdt0(A,C)!=$f20(A,B).
% 2.60/2.73 ** KEPT (pick-wt=5): 94 [] -aElement0(A)|aIdeal0(slsdtgt0(A)).
% 2.60/2.73 ** KEPT (pick-wt=6): 95 [] xa!=sz00|xb!=sz00.
% 2.60/2.73 ** KEPT (pick-wt=19): 96 [] -aElement0(A)| -aElement0(B)|sdtasdt0(A,B)!=xa| -aElement0(C)|sdtasdt0(A,C)!=xb|aElement0($f21(A)).
% 2.60/2.73 ** KEPT (pick-wt=22): 97 [] -aElement0(A)| -aElement0(B)|sdtasdt0(A,B)!=xa| -aElement0(C)|sdtasdt0(A,C)!=xb|sdtasdt0(A,$f21(A))=xc.
% 2.60/2.73 ** KEPT (pick-wt=19): 98 [] -aElement0(A)| -aElement0(B)|sdtasdt0(A,B)!=xa| -aElement0(C)|sdtasdt0(A,C)!=xb|doDivides0(A,xc).
% 2.60/2.73 ** KEPT (pick-wt=15): 99 [] -aElement0(A)| -aElement0(B)|sdtasdt0(A,B)!=xa| -doDivides0(A,xb)|aElement0($f21(A)).
% 2.60/2.73 ** KEPT (pick-wt=18): 100 [] -aElement0(A)| -aElement0(B)|sdtasdt0(A,B)!=xa| -doDivides0(A,xb)|sdtasdt0(A,$f21(A))=xc.
% 2.60/2.73 ** KEPT (pick-wt=15): 101 [] -aElement0(A)| -aElement0(B)|sdtasdt0(A,B)!=xa| -doDivides0(A,xb)|doDivides0(A,xc).
% 2.60/2.73 ** KEPT (pick-wt=15): 102 [] -aElement0(A)| -aElement0(B)|sdtasdt0(A,B)!=xa| -aDivisorOf0(A,xb)|aElement0($f21(A)).
% 2.60/2.73 ** KEPT (pick-wt=18): 103 [] -aElement0(A)| -aElement0(B)|sdtasdt0(A,B)!=xa| -aDivisorOf0(A,xb)|sdtasdt0(A,$f21(A))=xc.
% 2.60/2.73 ** KEPT (pick-wt=15): 104 [] -aElement0(A)| -aElement0(B)|sdtasdt0(A,B)!=xa| -aDivisorOf0(A,xb)|doDivides0(A,xc).
% 2.60/2.73 ** KEPT (pick-wt=15): 105 [] -aElement0(A)| -doDivides0(A,xa)| -aElement0(B)|sdtasdt0(A,B)!=xb|aElement0($f21(A)).
% 2.60/2.73 ** KEPT (pick-wt=18): 106 [] -aElement0(A)| -doDivides0(A,xa)| -aElement0(B)|sdtasdt0(A,B)!=xb|sdtasdt0(A,$f21(A))=xc.
% 2.60/2.73 ** KEPT (pick-wt=15): 107 [] -aElement0(A)| -doDivides0(A,xa)| -aElement0(B)|sdtasdt0(A,B)!=xb|doDivides0(A,xc).
% 2.60/2.75 ** KEPT (pick-wt=11): 108 [] -aElement0(A)| -doDivides0(A,xa)| -doDivides0(A,xb)|aElement0($f21(A)).
% 2.60/2.75 ** KEPT (pick-wt=14): 109 [] -aElement0(A)| -doDivides0(A,xa)| -doDivides0(A,xb)|sdtasdt0(A,$f21(A))=xc.
% 2.60/2.75 ** KEPT (pick-wt=11): 110 [] -aElement0(A)| -doDivides0(A,xa)| -doDivides0(A,xb)|doDivides0(A,xc).
% 2.60/2.75 ** KEPT (pick-wt=11): 111 [] -aElement0(A)| -doDivides0(A,xa)| -aDivisorOf0(A,xb)|aElement0($f21(A)).
% 2.60/2.75 ** KEPT (pick-wt=14): 112 [] -aElement0(A)| -doDivides0(A,xa)| -aDivisorOf0(A,xb)|sdtasdt0(A,$f21(A))=xc.
% 2.60/2.75 ** KEPT (pick-wt=11): 113 [] -aElement0(A)| -doDivides0(A,xa)| -aDivisorOf0(A,xb)|doDivides0(A,xc).
% 2.60/2.75 ** KEPT (pick-wt=13): 114 [] -aDivisorOf0(A,xa)| -aElement0(B)|sdtasdt0(A,B)!=xb|aElement0($f21(A)).
% 2.60/2.75 ** KEPT (pick-wt=16): 115 [] -aDivisorOf0(A,xa)| -aElement0(B)|sdtasdt0(A,B)!=xb|sdtasdt0(A,$f21(A))=xc.
% 2.60/2.75 ** KEPT (pick-wt=13): 116 [] -aDivisorOf0(A,xa)| -aElement0(B)|sdtasdt0(A,B)!=xb|doDivides0(A,xc).
% 2.60/2.75 ** KEPT (pick-wt=9): 117 [] -aDivisorOf0(A,xa)| -doDivides0(A,xb)|aElement0($f21(A)).
% 2.60/2.75 ** KEPT (pick-wt=12): 118 [] -aDivisorOf0(A,xa)| -doDivides0(A,xb)|sdtasdt0(A,$f21(A))=xc.
% 2.60/2.75 ** KEPT (pick-wt=9): 119 [] -aDivisorOf0(A,xa)| -doDivides0(A,xb)|doDivides0(A,xc).
% 2.60/2.75 ** KEPT (pick-wt=9): 120 [] -aDivisorOf0(A,xa)| -aDivisorOf0(A,xb)|aElement0($f21(A)).
% 2.60/2.75 ** KEPT (pick-wt=12): 121 [] -aDivisorOf0(A,xa)| -aDivisorOf0(A,xb)|sdtasdt0(A,$f21(A))=xc.
% 2.60/2.75 ** KEPT (pick-wt=9): 122 [] -aDivisorOf0(A,xa)| -aDivisorOf0(A,xb)|doDivides0(A,xc).
% 2.60/2.75 ** KEPT (pick-wt=11): 123 [] -aElementOf0(A,xI)| -aElementOf0(B,xI)|aElementOf0(sdtpldt0(A,B),xI).
% 2.60/2.75 ** KEPT (pick-wt=10): 124 [] -aElementOf0(A,xI)| -aElement0(B)|aElementOf0(sdtasdt0(B,A),xI).
% 2.60/2.75 ** KEPT (pick-wt=7): 125 [] -aElementOf0(A,slsdtgt0(xa))|aElement0($f22(A)).
% 2.60/2.75 ** KEPT (pick-wt=10): 126 [] -aElementOf0(A,slsdtgt0(xa))|sdtasdt0(xa,$f22(A))=A.
% 2.60/2.75 ** KEPT (pick-wt=11): 127 [] aElementOf0(A,slsdtgt0(xa))| -aElement0(B)|sdtasdt0(xa,B)!=A.
% 2.60/2.75 ** KEPT (pick-wt=7): 128 [] -aElementOf0(A,slsdtgt0(xb))|aElement0($f23(A)).
% 2.60/2.75 ** KEPT (pick-wt=10): 129 [] -aElementOf0(A,slsdtgt0(xb))|sdtasdt0(xb,$f23(A))=A.
% 2.60/2.75 ** KEPT (pick-wt=11): 130 [] aElementOf0(A,slsdtgt0(xb))| -aElement0(B)|sdtasdt0(xb,B)!=A.
% 2.60/2.75 ** KEPT (pick-wt=8): 131 [] -aElementOf0(A,xI)|aElementOf0($f25(A),slsdtgt0(xa)).
% 2.60/2.75 ** KEPT (pick-wt=8): 132 [] -aElementOf0(A,xI)|aElementOf0($f24(A),slsdtgt0(xb)).
% 2.60/2.75 ** KEPT (pick-wt=10): 133 [] -aElementOf0(A,xI)|sdtpldt0($f25(A),$f24(A))=A.
% 2.60/2.75 ** KEPT (pick-wt=16): 134 [] aElementOf0(A,xI)| -aElementOf0(B,slsdtgt0(xa))| -aElementOf0(C,slsdtgt0(xb))|sdtpldt0(B,C)!=A.
% 2.60/2.75 ** KEPT (pick-wt=7): 135 [] -aElementOf0(A,slsdtgt0(xa))|aElement0($f26(A)).
% 2.60/2.75 ** KEPT (pick-wt=10): 136 [] -aElementOf0(A,slsdtgt0(xa))|sdtasdt0(xa,$f26(A))=A.
% 2.60/2.75 Following clause subsumed by 127 during input processing: 0 [] aElementOf0(A,slsdtgt0(xa))| -aElement0(B)|sdtasdt0(xa,B)!=A.
% 2.60/2.75 ** KEPT (pick-wt=7): 137 [] -aElementOf0(A,slsdtgt0(xb))|aElement0($f27(A)).
% 2.60/2.75 ** KEPT (pick-wt=10): 138 [] -aElementOf0(A,slsdtgt0(xb))|sdtasdt0(xb,$f27(A))=A.
% 2.60/2.75 Following clause subsumed by 130 during input processing: 0 [] aElementOf0(A,slsdtgt0(xb))| -aElement0(B)|sdtasdt0(xb,B)!=A.
% 2.60/2.75 ** KEPT (pick-wt=3): 140 [copy,139,flip.1] sz00!=$c9.
% 2.60/2.75 ** KEPT (pick-wt=3): 141 [] xu!=sz00.
% 2.60/2.75 ** KEPT (pick-wt=21): 142 [] -aElementOf0(A,slsdtgt0(xa))| -aElementOf0(B,slsdtgt0(xb))|sdtpldt0(A,B)!=C|C=sz00| -iLess0(sbrdtbr0(C),sbrdtbr0(xu)).
% 2.60/2.75 ** KEPT (pick-wt=11): 143 [] -aElementOf0(A,xI)|A=sz00| -iLess0(sbrdtbr0(A),sbrdtbr0(xu)).
% 2.60/2.75 ** KEPT (pick-wt=14): 144 [] -aElement0(A)|sdtasdt0(xu,A)!=xa| -aElement0(B)|sdtasdt0(xu,B)!=xb.
% 2.60/2.75 ** KEPT (pick-wt=10): 145 [] -aElement0(A)|sdtasdt0(xu,A)!=xa| -doDivides0(xu,xb).
% 2.60/2.75 ** KEPT (pick-wt=10): 146 [] -aElement0(A)|sdtasdt0(xu,A)!=xa| -aDivisorOf0(xu,xb).
% 2.60/2.75 ** KEPT (pick-wt=10): 147 [] -doDivides0(xu,xa)| -aElement0(A)|sdtasdt0(xu,A)!=xb.
% 2.60/2.75 ** KEPT (pick-wt=6): 148 [] -doDivides0(xu,xa)| -doDivides0(xu,xb).
% 2.60/2.75 ** KEPT (pick-wt=6): 149 [] -doDivides0(xu,xa)| -aDivisorOf0(xu,xb).
% 2.60/2.75 ** KEPT (pick-wt=10): 150 [] -aDivisorOf0(xu,xa)| -aElement0(A)|sdtasdt0(xu,A)!=xb.
% 2.60/2.75 ** KEPT (pick-wt=6): 151 [] -aDivisorOf0(xu,xa)| -doDivides0(xu,xb).
% 2.60/2.75 ** KEPT (pick-wt=6): 152 [] -aDivisorOf0(xu,xa)| -aDivisorOf0(xu,xb).
% 2.60/2.75 ** KEPT (pick-wt=7): 153 [] -aElement0(A)|sdtasdt0(xu,A)!=xb.
% 2.60/2.75 ** KEPT (pick-wt=3): 154 [] -doDivides0(xu,xb).
% 2.60/2.75 ** KEPT (pick-wt=3): 155 [] xr!=sz00.
% 2.60/2.75 ** KEPT (pick-wt=13): 156 [] -aElementOf0(A,slsdtgt0(xa))| -aElementOf0(B,slsdtgt0(xb))|sdtpldt0(A,B)!=xb.
% 2.60/2.75 Following clause subsumed by 156 during input processing: 0 [] -aElementOf0(A,slsdtgt0(xa))| -aElementOf0(B,slsdtgt0(xb))|sdtpldt0(A,B)!=xb.
% 2.60/2.75 ** KEPT (pick-wt=3): 157 [] -aElementOf0(xb,xI).
% 2.60/2.75 153 back subsumes 150.
% 2.60/2.75 153 back subsumes 147.
% 2.60/2.75 153 back subsumes 144.
% 2.60/2.75 154 back subsumes 151.
% 2.60/2.75 154 back subsumes 148.
% 2.60/2.75 154 back subsumes 145.
% 2.60/2.75 207 back subsumes 206.
% 2.60/2.75
% 2.60/2.75 ------------> process sos:
% 2.60/2.75 ** KEPT (pick-wt=3): 291 [] A=A.
% 2.60/2.75 ** KEPT (pick-wt=2): 292 [] aElement0(sz00).
% 2.60/2.75 ** KEPT (pick-wt=2): 293 [] aElement0(sz10).
% 2.60/2.75 ** KEPT (pick-wt=2): 294 [] aElement0(xa).
% 2.60/2.75 ** KEPT (pick-wt=2): 295 [] aElement0(xb).
% 2.60/2.75 ** KEPT (pick-wt=2): 296 [] aElement0(xc).
% 2.60/2.75 ** KEPT (pick-wt=2): 297 [] aElement0($c1).
% 2.60/2.75 ** KEPT (pick-wt=5): 298 [] sdtasdt0(xc,$c1)=xa.
% 2.60/2.75 ---> New Demodulator: 299 [new_demod,298] sdtasdt0(xc,$c1)=xa.
% 2.60/2.75 ** KEPT (pick-wt=3): 300 [] doDivides0(xc,xa).
% 2.60/2.75 ** KEPT (pick-wt=3): 301 [] aDivisorOf0(xc,xa).
% 2.60/2.75 Following clause subsumed by 296 during input processing: 0 [] aElement0(xc).
% 2.60/2.75 ** KEPT (pick-wt=2): 302 [] aElement0($c2).
% 2.60/2.75 ** KEPT (pick-wt=5): 303 [] sdtasdt0(xc,$c2)=xb.
% 2.60/2.75 ---> New Demodulator: 304 [new_demod,303] sdtasdt0(xc,$c2)=xb.
% 2.60/2.75 ** KEPT (pick-wt=3): 305 [] doDivides0(xc,xb).
% 2.60/2.75 ** KEPT (pick-wt=3): 306 [] aDivisorOf0(xc,xb).
% 2.60/2.75 ** KEPT (pick-wt=4): 307 [] aGcdOfAnd0(xc,xa,xb).
% 2.60/2.75 ** KEPT (pick-wt=2): 308 [] aSet0(xI).
% 2.60/2.75 ** KEPT (pick-wt=2): 309 [] aIdeal0(xI).
% 2.60/2.75 ** KEPT (pick-wt=7): 311 [copy,310,flip.1] sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))=xI.
% 2.60/2.75 ---> New Demodulator: 312 [new_demod,311] sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))=xI.
% 2.60/2.75 ** KEPT (pick-wt=2): 313 [] aElement0($c3).
% 2.60/2.75 ** KEPT (pick-wt=5): 314 [] sdtasdt0(xa,$c3)=sz00.
% 2.60/2.75 ---> New Demodulator: 315 [new_demod,314] sdtasdt0(xa,$c3)=sz00.
% 2.60/2.75 ** KEPT (pick-wt=4): 316 [] aElementOf0(sz00,slsdtgt0(xa)).
% 2.60/2.75 ** KEPT (pick-wt=2): 317 [] aElement0($c4).
% 2.60/2.75 ** KEPT (pick-wt=5): 318 [] sdtasdt0(xa,$c4)=xa.
% 2.60/2.75 ---> New Demodulator: 319 [new_demod,318] sdtasdt0(xa,$c4)=xa.
% 2.60/2.75 ** KEPT (pick-wt=4): 320 [] aElementOf0(xa,slsdtgt0(xa)).
% 2.60/2.75 ** KEPT (pick-wt=2): 321 [] aElement0($c5).
% 2.60/2.75 ** KEPT (pick-wt=5): 322 [] sdtasdt0(xb,$c5)=sz00.
% 2.60/2.75 ---> New Demodulator: 323 [new_demod,322] sdtasdt0(xb,$c5)=sz00.
% 2.60/2.75 ** KEPT (pick-wt=4): 324 [] aElementOf0(sz00,slsdtgt0(xb)).
% 2.60/2.75 ** KEPT (pick-wt=2): 325 [] aElement0($c6).
% 2.60/2.75 ** KEPT (pick-wt=5): 326 [] sdtasdt0(xb,$c6)=xb.
% 2.60/2.75 ---> New Demodulator: 327 [new_demod,326] sdtasdt0(xb,$c6)=xb.
% 2.60/2.75 ** KEPT (pick-wt=4): 328 [] aElementOf0(xb,slsdtgt0(xb)).
% 2.60/2.75 ** KEPT (pick-wt=4): 329 [] aElementOf0($c8,slsdtgt0(xa)).
% 2.60/2.75 ** KEPT (pick-wt=4): 330 [] aElementOf0($c7,slsdtgt0(xb)).
% 2.60/2.75 ** KEPT (pick-wt=5): 331 [] sdtpldt0($c8,$c7)=$c9.
% 2.60/2.75 ---> New Demodulator: 332 [new_demod,331] sdtpldt0($c8,$c7)=$c9.
% 2.60/2.75 ** KEPT (pick-wt=3): 334 [copy,333,demod,312] aElementOf0($c9,xI).
% 2.60/2.75 ** KEPT (pick-wt=4): 335 [] aElementOf0($c11,slsdtgt0(xa)).
% 2.60/2.75 ** KEPT (pick-wt=4): 336 [] aElementOf0($c10,slsdtgt0(xb)).
% 2.60/2.75 ** KEPT (pick-wt=5): 337 [] sdtpldt0($c11,$c10)=xu.
% 2.60/2.75 ---> New Demodulator: 338 [new_demod,337] sdtpldt0($c11,$c10)=xu.
% 2.60/2.75 ** KEPT (pick-wt=3): 339 [] aElementOf0(xu,xI).
% 2.60/2.75 ** KEPT (pick-wt=2): 340 [] aElement0($c13).
% 2.60/2.75 ** KEPT (pick-wt=2): 341 [] aElement0($c12).
% 2.60/2.75 ** KEPT (pick-wt=9): 343 [copy,342,flip.1] sdtpldt0(sdtasdt0(xa,$c13),sdtasdt0(xb,$c12))=xu.
% 2.60/2.75 ---> New Demodulator: 344 [new_demod,343] sdtpldt0(sdtasdt0(xa,$c13),sdtasdt0(xb,$c12))=xu.
% 2.60/2.75 ** KEPT (pick-wt=2): 345 [] aElement0($c14).
% 2.60/2.75 ** KEPT (pick-wt=5): 346 [] sdtasdt0(xu,$c14)=xa.
% 2.60/2.75 ---> New Demodulator: 347 [new_demod,346] sdtasdt0(xu,$c14)=xa.
% 2.60/2.75 ** KEPT (pick-wt=3): 348 [] doDivides0(xu,xa).
% 2.60/2.75 ** KEPT (pick-wt=2): 349 [] aElement0(xq).
% 2.60/2.75 ** KEPT (pick-wt=2): 350 [] aElement0(xr).
% 2.60/2.75 ** KEPT (pick-wt=7): 352 [copy,351,flip.1] sdtpldt0(sdtasdt0(xq,xu),xr)=xb.
% 2.60/2.75 ---> New Demodulator: 353 [new_demod,352] sdtpldt0(sdtasdt0(xq,xu),xr)=xb.
% 2.60/2.75 ** KEPT (pick-wt=5): 355 [copy,354,unit_del,155] iLess0(sbrdtbr0(xr),sbrdtbr0(xu)).
% 2.60/2.75 ** KEPT (pick-wt=4): 356 [] aElementOf0($c16,slsdtgt0(xa)).
% 10.24/10.39 ** KEPT (pick-wt=4): 357 [] aElementOf0($c15,slsdtgt0(xb)).
% 10.24/10.39 ** KEPT (pick-wt=8): 359 [copy,358,flip.1] smndt0(sdtasdt0(xq,xu))=sdtpldt0($c16,$c15).
% 10.24/10.39 ---> New Demodulator: 360 [new_demod,359] smndt0(sdtasdt0(xq,xu))=sdtpldt0($c16,$c15).
% 10.24/10.39 ** KEPT (pick-wt=5): 362 [copy,361,demod,360] aElementOf0(sdtpldt0($c16,$c15),xI).
% 10.24/10.39 Following clause subsumed by 291 during input processing: 0 [copy,291,flip.1] A=A.
% 10.24/10.39 291 back subsumes 178.
% 10.24/10.39 291 back subsumes 177.
% 10.24/10.39 291 back subsumes 176.
% 10.24/10.39 291 back subsumes 175.
% 10.24/10.39 291 back subsumes 164.
% 10.24/10.39 291 back subsumes 160.
% 10.24/10.39 >>>> Starting back demodulation with 299.
% 10.24/10.39 >>>> Starting back demodulation with 304.
% 10.24/10.39 >>>> Starting back demodulation with 312.
% 10.24/10.39 >>>> Starting back demodulation with 315.
% 10.24/10.39 >>>> Starting back demodulation with 319.
% 10.24/10.39 >>>> Starting back demodulation with 323.
% 10.24/10.39 >>>> Starting back demodulation with 327.
% 10.24/10.39 >>>> Starting back demodulation with 332.
% 10.24/10.39 >>>> Starting back demodulation with 338.
% 10.24/10.39 >>>> Starting back demodulation with 344.
% 10.24/10.39 >>>> Starting back demodulation with 347.
% 10.24/10.39 >>>> Starting back demodulation with 353.
% 10.24/10.39 >>>> Starting back demodulation with 360.
% 10.24/10.39
% 10.24/10.39 ======= end of input processing =======
% 10.24/10.39
% 10.24/10.39 =========== start of search ===========
% 10.24/10.39
% 10.24/10.39
% 10.24/10.39 Resetting weight limit to 3.
% 10.24/10.39
% 10.24/10.39
% 10.24/10.39 Resetting weight limit to 3.
% 10.24/10.39
% 10.24/10.39 sos_size=468
% 10.24/10.39
% 10.24/10.39 -------- PROOF --------
% 10.24/10.39
% 10.24/10.39 ----> UNIT CONFLICT at 7.68 sec ----> 1491 [binary,1490.1,157.1] $F.
% 10.24/10.39
% 10.24/10.39 Length of proof is 3. Level of proof is 3.
% 10.24/10.39
% 10.24/10.39 ---------------- PROOF ----------------
% 10.24/10.39 % SZS status Theorem
% 10.24/10.39 % SZS output start Refutation
% See solution above
% 10.24/10.39 ------------ end of proof -------------
% 10.24/10.39
% 10.24/10.39
% 10.24/10.39 Search stopped by max_proofs option.
% 10.24/10.39
% 10.24/10.39
% 10.24/10.39 Search stopped by max_proofs option.
% 10.24/10.39
% 10.24/10.39 ============ end of search ============
% 10.24/10.39
% 10.24/10.39 -------------- statistics -------------
% 10.24/10.39 clauses given 76
% 10.24/10.39 clauses generated 597925
% 10.24/10.39 clauses kept 1072
% 10.24/10.39 clauses forward subsumed 1152
% 10.24/10.39 clauses back subsumed 17
% 10.24/10.39 Kbytes malloced 4882
% 10.24/10.39
% 10.24/10.39 ----------- times (seconds) -----------
% 10.24/10.39 user CPU time 7.68 (0 hr, 0 min, 7 sec)
% 10.24/10.39 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 10.24/10.39 wall-clock time 10 (0 hr, 0 min, 10 sec)
% 10.24/10.39
% 10.24/10.39 That finishes the proof of the theorem.
% 10.24/10.39
% 10.24/10.39 Process 7195 finished Wed Jul 27 02:14:42 2022
% 10.24/10.39 Otter interrupted
% 10.24/10.39 PROOF FOUND
%------------------------------------------------------------------------------