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Otter---3.3.UNK-Non.f

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%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWX208+1 : TPTP v9.3.0. Released v9.3.0.
% 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 : Tue May  5 07:05:25 PM UTC 2026

% Result   : Unknown 2.48s 2.76s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWX208+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : otter-tptp-script %s
% 0.18/0.35  % Computer : n006.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue May  5 11:37:15 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 1.88/2.14  ----- Otter 3.3f, August 2004 -----
% 1.88/2.14  The process was started by sandbox on n006.cluster.edu,
% 1.88/2.14  Tue May  5 11:37:16 2026
% 1.88/2.14  The command was "./otter".  The process ID is 13812.
% 1.88/2.14  
% 1.88/2.14  set(prolog_style_variables).
% 1.88/2.14  set(auto).
% 1.88/2.14     dependent: set(auto1).
% 1.88/2.14     dependent: set(process_input).
% 1.88/2.14     dependent: clear(print_kept).
% 1.88/2.14     dependent: clear(print_new_demod).
% 1.88/2.14     dependent: clear(print_back_demod).
% 1.88/2.14     dependent: clear(print_back_sub).
% 1.88/2.14     dependent: set(control_memory).
% 1.88/2.14     dependent: assign(max_mem, 12000).
% 1.88/2.14     dependent: assign(pick_given_ratio, 4).
% 1.88/2.14     dependent: assign(stats_level, 1).
% 1.88/2.14     dependent: assign(max_seconds, 10800).
% 1.88/2.14  clear(print_given).
% 1.88/2.14  
% 1.88/2.14  formula_list(usable).
% 1.88/2.14  all A (A=A).
% 1.88/2.14  all X X2 (proj1pair(pair2(X,X2))=X).
% 1.88/2.14  all X X2 (proj2pair(pair2(X,X2))=X2).
% 1.88/2.14  all X X2 (head(cons(X,X2))=X).
% 1.88/2.14  all X X2 (tail(cons(X,X2))=X2).
% 1.88/2.14  all X X2 (nil!=cons(X,X2)).
% 1.88/2.14  all X (proj1S(s(X))=X).
% 1.88/2.14  all X (z!=s(X)).
% 1.88/2.14  all X X2 (proj1Add(add(X,X2))=X).
% 1.88/2.14  all X X2 (proj2Add(add(X,X2))=X2).
% 1.88/2.14  all X X2 (proj1Mul(mul(X,X2))=X).
% 1.88/2.14  all X X2 (proj2Mul(mul(X,X2))=X2).
% 1.88/2.14  all X (proj1Num(num(X))=X).
% 1.88/2.14  all X X2 (x!=add(X,X2)).
% 1.88/2.14  all X X2 (x!=mul(X,X2)).
% 1.88/2.14  all X (x!=num(X)).
% 1.88/2.14  all X X2 X3 X4 (add(X,X2)!=mul(X3,X4)).
% 1.88/2.14  all X X2 X3 (add(X,X2)!=num(X3)).
% 1.88/2.14  all X X2 X3 (mul(X,X2)!=num(X3)).
% 1.88/2.14  all X (proj1Left(left(X))=X).
% 1.88/2.14  all X (proj1Right(right(X))=X).
% 1.88/2.14  all X X2 (left(X)!=right(X2)).
% 1.88/2.14  pAR1!=pAR2.
% 1.88/2.14  pAR1!=pLUS.
% 1.88/2.14  pAR1!=mULT.
% 1.88/2.14  pAR1!=cHARX.
% 1.88/2.14  pAR1!=dIG0.
% 1.88/2.14  pAR1!=dIG1.
% 1.88/2.14  pAR1!=dIG2.
% 1.88/2.14  pAR1!=dIG3.
% 1.88/2.14  pAR1!=dIG4.
% 1.88/2.14  pAR1!=dIG5.
% 1.88/2.14  pAR1!=dIG6.
% 1.88/2.14  pAR1!=dIG7.
% 1.88/2.14  pAR1!=dIG8.
% 1.88/2.14  pAR1!=dIG9.
% 1.88/2.14  pAR2!=pLUS.
% 1.88/2.14  pAR2!=mULT.
% 1.88/2.14  pAR2!=cHARX.
% 1.88/2.14  pAR2!=dIG0.
% 1.88/2.14  pAR2!=dIG1.
% 1.88/2.14  pAR2!=dIG2.
% 1.88/2.14  pAR2!=dIG3.
% 1.88/2.14  pAR2!=dIG4.
% 1.88/2.14  pAR2!=dIG5.
% 1.88/2.14  pAR2!=dIG6.
% 1.88/2.14  pAR2!=dIG7.
% 1.88/2.14  pAR2!=dIG8.
% 1.88/2.14  pAR2!=dIG9.
% 1.88/2.14  pLUS!=mULT.
% 1.88/2.14  pLUS!=cHARX.
% 1.88/2.14  pLUS!=dIG0.
% 1.88/2.14  pLUS!=dIG1.
% 1.88/2.14  pLUS!=dIG2.
% 1.88/2.14  pLUS!=dIG3.
% 1.88/2.14  pLUS!=dIG4.
% 1.88/2.14  pLUS!=dIG5.
% 1.88/2.14  pLUS!=dIG6.
% 1.88/2.14  pLUS!=dIG7.
% 1.88/2.14  pLUS!=dIG8.
% 1.88/2.14  pLUS!=dIG9.
% 1.88/2.14  mULT!=cHARX.
% 1.88/2.14  mULT!=dIG0.
% 1.88/2.14  mULT!=dIG1.
% 1.88/2.14  mULT!=dIG2.
% 1.88/2.14  mULT!=dIG3.
% 1.88/2.14  mULT!=dIG4.
% 1.88/2.14  mULT!=dIG5.
% 1.88/2.14  mULT!=dIG6.
% 1.88/2.14  mULT!=dIG7.
% 1.88/2.14  mULT!=dIG8.
% 1.88/2.14  mULT!=dIG9.
% 1.88/2.14  cHARX!=dIG0.
% 1.88/2.14  cHARX!=dIG1.
% 1.88/2.14  cHARX!=dIG2.
% 1.88/2.14  cHARX!=dIG3.
% 1.88/2.14  cHARX!=dIG4.
% 1.88/2.14  cHARX!=dIG5.
% 1.88/2.14  cHARX!=dIG6.
% 1.88/2.14  cHARX!=dIG7.
% 1.88/2.14  cHARX!=dIG8.
% 1.88/2.14  cHARX!=dIG9.
% 1.88/2.14  dIG0!=dIG1.
% 1.88/2.14  dIG0!=dIG2.
% 1.88/2.14  dIG0!=dIG3.
% 1.88/2.14  dIG0!=dIG4.
% 1.88/2.14  dIG0!=dIG5.
% 1.88/2.14  dIG0!=dIG6.
% 1.88/2.14  dIG0!=dIG7.
% 1.88/2.14  dIG0!=dIG8.
% 1.88/2.14  dIG0!=dIG9.
% 1.88/2.14  dIG1!=dIG2.
% 1.88/2.14  dIG1!=dIG3.
% 1.88/2.14  dIG1!=dIG4.
% 1.88/2.14  dIG1!=dIG5.
% 1.88/2.14  dIG1!=dIG6.
% 1.88/2.14  dIG1!=dIG7.
% 1.88/2.14  dIG1!=dIG8.
% 1.88/2.14  dIG1!=dIG9.
% 1.88/2.14  dIG2!=dIG3.
% 1.88/2.14  dIG2!=dIG4.
% 1.88/2.14  dIG2!=dIG5.
% 1.88/2.14  dIG2!=dIG6.
% 1.88/2.14  dIG2!=dIG7.
% 1.88/2.14  dIG2!=dIG8.
% 1.88/2.14  dIG2!=dIG9.
% 1.88/2.14  dIG3!=dIG4.
% 1.88/2.14  dIG3!=dIG5.
% 1.88/2.14  dIG3!=dIG6.
% 1.88/2.14  dIG3!=dIG7.
% 1.88/2.14  dIG3!=dIG8.
% 1.88/2.14  dIG3!=dIG9.
% 1.88/2.14  dIG4!=dIG5.
% 1.88/2.14  dIG4!=dIG6.
% 1.88/2.14  dIG4!=dIG7.
% 1.88/2.14  dIG4!=dIG8.
% 1.88/2.14  dIG4!=dIG9.
% 1.88/2.14  dIG5!=dIG6.
% 1.88/2.14  dIG5!=dIG7.
% 1.88/2.14  dIG5!=dIG8.
% 1.88/2.14  dIG5!=dIG9.
% 1.88/2.14  dIG6!=dIG7.
% 1.88/2.14  dIG6!=dIG8.
% 1.88/2.14  dIG6!=dIG9.
% 1.88/2.14  dIG7!=dIG8.
% 1.88/2.14  dIG7!=dIG9.
% 1.88/2.14  dIG8!=dIG9.
% 1.88/2.14  all Y (append(nil,Y)=Y).
% 1.88/2.14  all Y Z Xs (append(cons(Z,Xs),Y)=cons(Z,append(Xs,Y))).
% 1.88/2.14  x2(z,z)=z.
% 1.88/2.14  all Z (x2(z,s(Z))=z).
% 1.88/2.14  all N (x2(s(N),z)=s(N)).
% 1.88/2.14  all N M (x2(s(N),s(M))=x2(N,M)).
% 1.88/2.14  min10(z)=left(dIG0).
% 1.88/2.14  min10(s(z))=left(dIG1).
% 1.88/2.14  min10(s(s(z)))=left(dIG2).
% 1.88/2.14  min10(s(s(s(z))))=left(dIG3).
% 1.88/2.14  min10(s(s(s(s(z)))))=left(dIG4).
% 1.88/2.14  min10(s(s(s(s(s(z))))))=left(dIG5).
% 1.88/2.14  min10(s(s(s(s(s(s(z)))))))=left(dIG6).
% 1.88/2.14  min10(s(s(s(s(s(s(s(z))))))))=left(dIG7).
% 1.88/2.14  min10(s(s(s(s(s(s(s(s(z)))))))))=left(dIG8).
% 1.88/2.14  min10(s(s(s(s(s(s(s(s(s(z))))))))))=left(dIG9).
% 1.88/2.14  all X9 (min10(s(s(s(s(s(s(s(s(s(s(X9)))))))))))=right(x2(s(s(s(s(s(s(s(s(s(s(X9)))))))))),s(s(s(s(s(s(s(s(s(s(z))))))))))))).
% 1.88/2.14  all X D (min10(X)=left(D)->mod10(X)=pair2(D,z)).
% 1.88/2.14  all X N D1 N2 (min10(X)=right(N)-> (mod10(N)=pair2(D1,N2)->mod10(X)=pair2(D1,s(N2)))).
% 1.88/2.14  all X (showNumnum(X,z)=X).
% 1.88/2.14  all X Z A1 N (mod10(s(Z))=pair2(A1,N)->showNumnum(X,s(Z))=showNumnum(cons(A1,X),N)).
% 1.88/2.14  showNum(z)=cons(dIG0,nil).
% 1.88/2.14  all Y (showNum(s(Y))=showNumnum(nil,s(Y))).
% 1.88/2.14  show(x)=cons(cHARX,nil).
% 1.88/2.14  all B C (show(add(B,C))=append(show(B),append(cons(pLUS,nil),show(C)))).
% 1.88/2.14  all A3 B2 (show(mul(A3,B2))=append(showF(A3),append(cons(mULT,nil),showF(B2)))).
% 1.88/2.14  all N (show(num(N))=showNum(N)).
% 1.88/2.14  all X (X!=add(proj1Add(X),proj2Add(X))->showF(X)=show(X)).
% 1.88/2.14  all Y Z (showF(add(Y,Z))=cons(pAR1,append(show(add(Y,Z)),cons(pAR2,nil)))).
% 1.88/2.14  -(exists E (show(E)=cons(pAR1,cons(pAR1,cons(cHARX,cons(pLUS,cons(dIG5,cons(pAR2,cons(pLUS,cons(dIG7,cons(pAR2,cons(mULT,cons(cHARX,nil))))))))))))).
% 1.88/2.14  end_of_list.
% 1.88/2.14  
% 1.88/2.14  -------> usable clausifies to:
% 1.88/2.14  
% 1.88/2.14  list(usable).
% 1.88/2.14  0 [] A=A.
% 1.88/2.14  0 [] proj1pair(pair2(X,X2))=X.
% 1.88/2.14  0 [] proj2pair(pair2(X,X2))=X2.
% 1.88/2.14  0 [] head(cons(X,X2))=X.
% 1.88/2.14  0 [] tail(cons(X,X2))=X2.
% 1.88/2.14  0 [] nil!=cons(X,X2).
% 1.88/2.14  0 [] proj1S(s(X))=X.
% 1.88/2.14  0 [] z!=s(X).
% 1.88/2.14  0 [] proj1Add(add(X,X2))=X.
% 1.88/2.14  0 [] proj2Add(add(X,X2))=X2.
% 1.88/2.14  0 [] proj1Mul(mul(X,X2))=X.
% 1.88/2.14  0 [] proj2Mul(mul(X,X2))=X2.
% 1.88/2.14  0 [] proj1Num(num(X))=X.
% 1.88/2.14  0 [] x!=add(X,X2).
% 1.88/2.14  0 [] x!=mul(X,X2).
% 1.88/2.14  0 [] x!=num(X).
% 1.88/2.14  0 [] add(X,X2)!=mul(X3,X4).
% 1.88/2.14  0 [] add(X,X2)!=num(X3).
% 1.88/2.14  0 [] mul(X,X2)!=num(X3).
% 1.88/2.14  0 [] proj1Left(left(X))=X.
% 1.88/2.14  0 [] proj1Right(right(X))=X.
% 1.88/2.14  0 [] left(X)!=right(X2).
% 1.88/2.14  0 [] pAR1!=pAR2.
% 1.88/2.14  0 [] pAR1!=pLUS.
% 1.88/2.14  0 [] pAR1!=mULT.
% 1.88/2.14  0 [] pAR1!=cHARX.
% 1.88/2.14  0 [] pAR1!=dIG0.
% 1.88/2.14  0 [] pAR1!=dIG1.
% 1.88/2.14  0 [] pAR1!=dIG2.
% 1.88/2.14  0 [] pAR1!=dIG3.
% 1.88/2.14  0 [] pAR1!=dIG4.
% 1.88/2.14  0 [] pAR1!=dIG5.
% 1.88/2.14  0 [] pAR1!=dIG6.
% 1.88/2.14  0 [] pAR1!=dIG7.
% 1.88/2.14  0 [] pAR1!=dIG8.
% 1.88/2.14  0 [] pAR1!=dIG9.
% 1.88/2.14  0 [] pAR2!=pLUS.
% 1.88/2.14  0 [] pAR2!=mULT.
% 1.88/2.14  0 [] pAR2!=cHARX.
% 1.88/2.14  0 [] pAR2!=dIG0.
% 1.88/2.14  0 [] pAR2!=dIG1.
% 1.88/2.14  0 [] pAR2!=dIG2.
% 1.88/2.14  0 [] pAR2!=dIG3.
% 1.88/2.14  0 [] pAR2!=dIG4.
% 1.88/2.14  0 [] pAR2!=dIG5.
% 1.88/2.14  0 [] pAR2!=dIG6.
% 1.88/2.14  0 [] pAR2!=dIG7.
% 1.88/2.14  0 [] pAR2!=dIG8.
% 1.88/2.14  0 [] pAR2!=dIG9.
% 1.88/2.14  0 [] pLUS!=mULT.
% 1.88/2.14  0 [] pLUS!=cHARX.
% 1.88/2.14  0 [] pLUS!=dIG0.
% 1.88/2.14  0 [] pLUS!=dIG1.
% 1.88/2.14  0 [] pLUS!=dIG2.
% 1.88/2.14  0 [] pLUS!=dIG3.
% 1.88/2.14  0 [] pLUS!=dIG4.
% 1.88/2.14  0 [] pLUS!=dIG5.
% 1.88/2.14  0 [] pLUS!=dIG6.
% 1.88/2.14  0 [] pLUS!=dIG7.
% 1.88/2.14  0 [] pLUS!=dIG8.
% 1.88/2.14  0 [] pLUS!=dIG9.
% 1.88/2.14  0 [] mULT!=cHARX.
% 1.88/2.14  0 [] mULT!=dIG0.
% 1.88/2.14  0 [] mULT!=dIG1.
% 1.88/2.14  0 [] mULT!=dIG2.
% 1.88/2.14  0 [] mULT!=dIG3.
% 1.88/2.14  0 [] mULT!=dIG4.
% 1.88/2.14  0 [] mULT!=dIG5.
% 1.88/2.14  0 [] mULT!=dIG6.
% 1.88/2.14  0 [] mULT!=dIG7.
% 1.88/2.14  0 [] mULT!=dIG8.
% 1.88/2.14  0 [] mULT!=dIG9.
% 1.88/2.14  0 [] cHARX!=dIG0.
% 1.88/2.14  0 [] cHARX!=dIG1.
% 1.88/2.14  0 [] cHARX!=dIG2.
% 1.88/2.14  0 [] cHARX!=dIG3.
% 1.88/2.14  0 [] cHARX!=dIG4.
% 1.88/2.14  0 [] cHARX!=dIG5.
% 1.88/2.14  0 [] cHARX!=dIG6.
% 1.88/2.14  0 [] cHARX!=dIG7.
% 1.88/2.14  0 [] cHARX!=dIG8.
% 1.88/2.14  0 [] cHARX!=dIG9.
% 1.88/2.14  0 [] dIG0!=dIG1.
% 1.88/2.14  0 [] dIG0!=dIG2.
% 1.88/2.14  0 [] dIG0!=dIG3.
% 1.88/2.14  0 [] dIG0!=dIG4.
% 1.88/2.14  0 [] dIG0!=dIG5.
% 1.88/2.14  0 [] dIG0!=dIG6.
% 1.88/2.14  0 [] dIG0!=dIG7.
% 1.88/2.14  0 [] dIG0!=dIG8.
% 1.88/2.14  0 [] dIG0!=dIG9.
% 1.88/2.14  0 [] dIG1!=dIG2.
% 1.88/2.14  0 [] dIG1!=dIG3.
% 1.88/2.14  0 [] dIG1!=dIG4.
% 1.88/2.14  0 [] dIG1!=dIG5.
% 1.88/2.14  0 [] dIG1!=dIG6.
% 1.88/2.14  0 [] dIG1!=dIG7.
% 1.88/2.14  0 [] dIG1!=dIG8.
% 1.88/2.14  0 [] dIG1!=dIG9.
% 1.88/2.14  0 [] dIG2!=dIG3.
% 1.88/2.14  0 [] dIG2!=dIG4.
% 1.88/2.14  0 [] dIG2!=dIG5.
% 1.88/2.14  0 [] dIG2!=dIG6.
% 1.88/2.14  0 [] dIG2!=dIG7.
% 1.88/2.14  0 [] dIG2!=dIG8.
% 1.88/2.14  0 [] dIG2!=dIG9.
% 1.88/2.14  0 [] dIG3!=dIG4.
% 1.88/2.14  0 [] dIG3!=dIG5.
% 1.88/2.14  0 [] dIG3!=dIG6.
% 1.88/2.14  0 [] dIG3!=dIG7.
% 1.88/2.14  0 [] dIG3!=dIG8.
% 1.88/2.14  0 [] dIG3!=dIG9.
% 1.88/2.14  0 [] dIG4!=dIG5.
% 1.88/2.14  0 [] dIG4!=dIG6.
% 1.88/2.14  0 [] dIG4!=dIG7.
% 1.88/2.14  0 [] dIG4!=dIG8.
% 1.88/2.14  0 [] dIG4!=dIG9.
% 1.88/2.14  0 [] dIG5!=dIG6.
% 1.88/2.14  0 [] dIG5!=dIG7.
% 1.88/2.14  0 [] dIG5!=dIG8.
% 1.88/2.14  0 [] dIG5!=dIG9.
% 1.88/2.14  0 [] dIG6!=dIG7.
% 1.88/2.14  0 [] dIG6!=dIG8.
% 1.88/2.14  0 [] dIG6!=dIG9.
% 1.88/2.14  0 [] dIG7!=dIG8.
% 1.88/2.14  0 [] dIG7!=dIG9.
% 1.88/2.14  0 [] dIG8!=dIG9.
% 1.88/2.14  0 [] append(nil,Y)=Y.
% 1.88/2.14  0 [] append(cons(Z,Xs),Y)=cons(Z,append(Xs,Y)).
% 1.88/2.14  0 [] x2(z,z)=z.
% 1.88/2.14  0 [] x2(z,s(Z))=z.
% 1.88/2.14  0 [] x2(s(N),z)=s(N).
% 1.88/2.14  0 [] x2(s(N),s(M))=x2(N,M).
% 1.88/2.14  0 [] min10(z)=left(dIG0).
% 1.88/2.14  0 [] min10(s(z))=left(dIG1).
% 1.88/2.14  0 [] min10(s(s(z)))=left(dIG2).
% 1.88/2.14  0 [] min10(s(s(s(z))))=left(dIG3).
% 1.88/2.14  0 [] min10(s(s(s(s(z)))))=left(dIG4).
% 1.88/2.14  0 [] min10(s(s(s(s(s(z))))))=left(dIG5).
% 1.88/2.14  0 [] min10(s(s(s(s(s(s(z)))))))=left(dIG6).
% 1.88/2.14  0 [] min10(s(s(s(s(s(s(s(z))))))))=left(dIG7).
% 1.88/2.14  0 [] min10(s(s(s(s(s(s(s(s(z)))))))))=left(dIG8).
% 1.88/2.14  0 [] min10(s(s(s(s(s(s(s(s(s(z))))))))))=left(dIG9).
% 1.88/2.14  0 [] min10(s(s(s(s(s(s(s(s(s(s(X9)))))))))))=right(x2(s(s(s(s(s(s(s(s(s(s(X9)))))))))),s(s(s(s(s(s(s(s(s(s(z)))))))))))).
% 1.88/2.14  0 [] min10(X)!=left(D)|mod10(X)=pair2(D,z).
% 1.88/2.14  0 [] min10(X)!=right(N)|mod10(N)!=pair2(D1,N2)|mod10(X)=pair2(D1,s(N2)).
% 1.88/2.14  0 [] showNumnum(X,z)=X.
% 1.88/2.14  0 [] mod10(s(Z))!=pair2(A1,N)|showNumnum(X,s(Z))=showNumnum(cons(A1,X),N).
% 1.88/2.14  0 [] showNum(z)=cons(dIG0,nil).
% 1.88/2.14  0 [] showNum(s(Y))=showNumnum(nil,s(Y)).
% 1.88/2.14  0 [] show(x)=cons(cHARX,nil).
% 1.88/2.14  0 [] show(add(B,C))=append(show(B),append(cons(pLUS,nil),show(C))).
% 1.88/2.14  0 [] show(mul(A3,B2))=append(showF(A3),append(cons(mULT,nil),showF(B2))).
% 1.88/2.14  0 [] show(num(N))=showNum(N).
% 1.88/2.14  0 [] X=add(proj1Add(X),proj2Add(X))|showF(X)=show(X).
% 1.88/2.14  0 [] showF(add(Y,Z))=cons(pAR1,append(show(add(Y,Z)),cons(pAR2,nil))).
% 1.88/2.14  0 [] show(E)!=cons(pAR1,cons(pAR1,cons(cHARX,cons(pLUS,cons(dIG5,cons(pAR2,cons(pLUS,cons(dIG7,cons(pAR2,cons(mULT,cons(cHARX,nil))))))))))).
% 1.88/2.14  end_of_list.
% 1.88/2.14  
% 1.88/2.14  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.88/2.14  
% 1.88/2.14  This ia a non-Horn set with equality.  The strategy will be
% 1.88/2.14  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.88/2.14  deletion, with positive clauses in sos and nonpositive
% 1.88/2.14  clauses in usable.
% 1.88/2.14  
% 1.88/2.14     dependent: set(knuth_bendix).
% 1.88/2.14     dependent: set(anl_eq).
% 1.88/2.14     dependent: set(para_from).
% 1.88/2.14     dependent: set(para_into).
% 1.88/2.14     dependent: clear(para_from_right).
% 1.88/2.14     dependent: clear(para_into_right).
% 1.88/2.14     dependent: set(para_from_vars).
% 1.88/2.14     dependent: set(eq_units_both_ways).
% 1.88/2.14     dependent: set(dynamic_demod_all).
% 1.88/2.14     dependent: set(dynamic_demod).
% 1.88/2.14     dependent: set(order_eq).
% 1.88/2.14     dependent: set(back_demod).
% 1.88/2.14     dependent: set(lrpo).
% 1.88/2.14     dependent: set(hyper_res).
% 1.88/2.14     dependent: set(unit_deletion).
% 1.88/2.14     dependent: set(factor).
% 1.88/2.14  
% 1.88/2.14  ------------> process usable:
% 1.88/2.14  ** KEPT (pick-wt=5): 2 [copy,1,flip.1] cons(A,B)!=nil.
% 1.88/2.14  ** KEPT (pick-wt=4): 4 [copy,3,flip.1] s(A)!=z.
% 1.88/2.14  ** KEPT (pick-wt=5): 6 [copy,5,flip.1] add(A,B)!=x.
% 1.88/2.14  ** KEPT (pick-wt=5): 8 [copy,7,flip.1] mul(A,B)!=x.
% 1.88/2.14  ** KEPT (pick-wt=4): 10 [copy,9,flip.1] num(A)!=x.
% 1.88/2.14  ** KEPT (pick-wt=7): 11 [] add(A,B)!=mul(C,D).
% 1.88/2.14  ** KEPT (pick-wt=6): 12 [] add(A,B)!=num(C).
% 1.88/2.14  ** KEPT (pick-wt=6): 13 [] mul(A,B)!=num(C).
% 1.88/2.14  ** KEPT (pick-wt=5): 14 [] left(A)!=right(B).
% 1.88/2.14  ** KEPT (pick-wt=3): 16 [copy,15,flip.1] pAR2!=pAR1.
% 1.88/2.14  ** KEPT (pick-wt=3): 18 [copy,17,flip.1] pLUS!=pAR1.
% 1.88/2.14  ** KEPT (pick-wt=3): 19 [] pAR1!=mULT.
% 1.88/2.14  ** KEPT (pick-wt=3): 20 [] pAR1!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 21 [] pAR1!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 22 [] pAR1!=dIG1.
% 1.88/2.14  ** KEPT (pick-wt=3): 23 [] pAR1!=dIG2.
% 1.88/2.14  ** KEPT (pick-wt=3): 24 [] pAR1!=dIG3.
% 1.88/2.14  ** KEPT (pick-wt=3): 25 [] pAR1!=dIG4.
% 1.88/2.14  ** KEPT (pick-wt=3): 26 [] pAR1!=dIG5.
% 1.88/2.14  ** KEPT (pick-wt=3): 27 [] pAR1!=dIG6.
% 1.88/2.14  ** KEPT (pick-wt=3): 28 [] pAR1!=dIG7.
% 1.88/2.14  ** KEPT (pick-wt=3): 29 [] pAR1!=dIG8.
% 1.88/2.14  ** KEPT (pick-wt=3): 30 [] pAR1!=dIG9.
% 1.88/2.14  ** KEPT (pick-wt=3): 32 [copy,31,flip.1] pLUS!=pAR2.
% 1.88/2.14  ** KEPT (pick-wt=3): 33 [] pAR2!=mULT.
% 1.88/2.14  ** KEPT (pick-wt=3): 34 [] pAR2!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 35 [] pAR2!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 36 [] pAR2!=dIG1.
% 1.88/2.14  ** KEPT (pick-wt=3): 37 [] pAR2!=dIG2.
% 1.88/2.14  ** KEPT (pick-wt=3): 38 [] pAR2!=dIG3.
% 1.88/2.14  ** KEPT (pick-wt=3): 39 [] pAR2!=dIG4.
% 1.88/2.14  ** KEPT (pick-wt=3): 40 [] pAR2!=dIG5.
% 1.88/2.14  ** KEPT (pick-wt=3): 41 [] pAR2!=dIG6.
% 1.88/2.14  ** KEPT (pick-wt=3): 42 [] pAR2!=dIG7.
% 1.88/2.14  ** KEPT (pick-wt=3): 43 [] pAR2!=dIG8.
% 1.88/2.14  ** KEPT (pick-wt=3): 44 [] pAR2!=dIG9.
% 1.88/2.14  ** KEPT (pick-wt=3): 45 [] pLUS!=mULT.
% 1.88/2.14  ** KEPT (pick-wt=3): 46 [] pLUS!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 47 [] pLUS!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 48 [] pLUS!=dIG1.
% 1.88/2.14  ** KEPT (pick-wt=3): 49 [] pLUS!=dIG2.
% 1.88/2.14  ** KEPT (pick-wt=3): 50 [] pLUS!=dIG3.
% 1.88/2.14  ** KEPT (pick-wt=3): 51 [] pLUS!=dIG4.
% 1.88/2.14  ** KEPT (pick-wt=3): 52 [] pLUS!=dIG5.
% 1.88/2.14  ** KEPT (pick-wt=3): 53 [] pLUS!=dIG6.
% 1.88/2.14  ** KEPT (pick-wt=3): 54 [] pLUS!=dIG7.
% 1.88/2.14  ** KEPT (pick-wt=3): 55 [] pLUS!=dIG8.
% 1.88/2.14  ** KEPT (pick-wt=3): 56 [] pLUS!=dIG9.
% 1.88/2.14  ** KEPT (pick-wt=3): 57 [] mULT!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 58 [] mULT!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 59 [] mULT!=dIG1.
% 1.88/2.14  ** KEPT (pick-wt=3): 60 [] mULT!=dIG2.
% 1.88/2.14  ** KEPT (pick-wt=3): 61 [] mULT!=dIG3.
% 1.88/2.14  ** KEPT (pick-wt=3): 62 [] mULT!=dIG4.
% 1.88/2.14  ** KEPT (pick-wt=3): 63 [] mULT!=dIG5.
% 1.88/2.14  ** KEPT (pick-wt=3): 64 [] mULT!=dIG6.
% 1.88/2.14  ** KEPT (pick-wt=3): 65 [] mULT!=dIG7.
% 1.88/2.14  ** KEPT (pick-wt=3): 66 [] mULT!=dIG8.
% 1.88/2.14  ** KEPT (pick-wt=3): 67 [] mULT!=dIG9.
% 1.88/2.14  ** KEPT (pick-wt=3): 69 [copy,68,flip.1] dIG0!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 71 [copy,70,flip.1] dIG1!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 73 [copy,72,flip.1] dIG2!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 75 [copy,74,flip.1] dIG3!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 77 [copy,76,flip.1] dIG4!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 79 [copy,78,flip.1] dIG5!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 81 [copy,80,flip.1] dIG6!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 83 [copy,82,flip.1] dIG7!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 85 [copy,84,flip.1] dIG8!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 87 [copy,86,flip.1] dIG9!=cHARX.
% 1.88/2.14  ** KEPT (pick-wt=3): 89 [copy,88,flip.1] dIG1!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 91 [copy,90,flip.1] dIG2!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 93 [copy,92,flip.1] dIG3!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 95 [copy,94,flip.1] dIG4!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 97 [copy,96,flip.1] dIG5!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 99 [copy,98,flip.1] dIG6!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 101 [copy,100,flip.1] dIG7!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 103 [copy,102,flip.1] dIG8!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 105 [copy,104,flip.1] dIG9!=dIG0.
% 1.88/2.14  ** KEPT (pick-wt=3): 107 [copy,106,flip.1] dIG2!=dIG1.
% 1.88/2.14  ** KEPT (pick-wt=3): 109 [copy,108,flip.1] dIG3!=dIG1.
% 1.88/2.14  ** KEPT (pick-wt=3): 111 [copy,110,flip.1] dIG4!=dIG1.
% 1.88/2.14  ** KEPT (pick-wt=3): 113 [copy,112,flip.1] dIG5!=dIG1.
% 1.88/2.14  ** KEPT (pick-wt=3): 115 [copy,114,flip.1] dIG6!=dIG1.
% 1.88/2.14  ** KEPT (pick-wt=3): 117 [copy,116,flip.1] dIG7!=dIG1.
% 1.88/2.14  ** KEPT (pick-wt=3): 119 [copy,118,flip.1] dIG8!=dIG1.
% 1.88/2.14  ** KEPT (pick-wt=3): 121 [copy,120,flip.1] dIG9!=dIG1.
% 1.88/2.14  ** KEPT (pick-wt=3): 123 [copy,122,flip.1] dIG3!=dIG2.
% 1.88/2.14  ** KEPT (pick-wt=3): 125 [copy,124,flip.1] dIG4!=dIG2.
% 1.88/2.14  ** KEPT (pick-wt=3): 127 [copy,126,flip.1] dIG5!=dIG2.
% 1.88/2.14  ** KEPT (pick-wt=3): 129 [copy,128,flip.1] dIG6!=dIG2.
% 1.88/2.14  ** KEPT (pick-wt=3): 131 [copy,130,flip.1] dIG7!=dIG2.
% 1.88/2.14  ** KEPT (pick-wt=3): 133 [copy,132,flip.1] dIG8!=dIG2.
% 1.88/2.14  ** KEPT (pick-wt=3): 135 [copy,134,flip.1] dIG9!=dIG2.
% 1.88/2.14  ** KEPT (pick-wt=3): 137 [copy,136,flip.1] dIG4!=dIG3.
% 1.88/2.14  ** KEPT (pick-wt=3): 139 [copy,138,flip.1] dIG5!=dIG3.
% 1.88/2.14  ** KEPT (pick-wt=3): 141 [copy,140,flip.1] dIG6!=dIG3.
% 1.88/2.14  ** KEPT (pick-wt=3): 143 [copy,142,flip.1] dIG7!=dIG3.
% 1.88/2.14  ** KEPT (pick-wt=3): 145 [copy,144,flip.1] dIG8!=dIG3.
% 1.88/2.14  ** KEPT (pick-wt=3): 147 [copy,146,flip.1] dIG9!=dIG3.
% 1.88/2.14  ** KEPT (pick-wt=3): 149 [copy,148,flip.1] dIG5!=dIG4.
% 1.88/2.14  ** KEPT (pick-wt=3): 151 [copy,150,flip.1] dIG6!=dIG4.
% 1.88/2.14  ** KEPT (pick-wt=3): 153 [copy,152,flip.1] dIG7!=dIG4.
% 1.88/2.14  ** KEPT (pick-wt=3): 155 [copy,154,flip.1] dIG8!=dIG4.
% 1.88/2.14  ** KEPT (pick-wt=3): 157 [copy,156,flip.1] dIG9!=dIG4.
% 1.88/2.14  ** KEPT (pick-wt=3): 159 [copy,158,flip.1] dIG6!=dIG5.
% 1.88/2.14  ** KEPT (pick-wt=3): 161 [copy,160,flip.1] dIG7!=dIG5.
% 1.88/2.14  ** KEPT (pick-wt=3): 163 [copy,162,flip.1] dIG8!=dIG5.
% 1.88/2.14  ** KEPT (pick-wt=3): 165 [copy,164,flip.1] dIG9!=dIG5.
% 1.88/2.14  ** KEPT (pick-wt=3): 167 [copy,166,flip.1] dIG7!=dIG6.
% 1.88/2.14  ** KEPT (pick-wt=3): 169 [copy,168,flip.1] dIG8!=dIG6.
% 1.88/2.14  ** KEPT (pick-wt=3): 171 [copy,170,flip.1] dIG9!=dIG6.
% 1.88/2.14  ** KEPT (pick-wt=3): 173 [copy,172,flip.1] dIG8!=dIG7.
% 1.88/2.14  ** KEPT (pick-wt=3): 175 [copy,174,flip.1] dIG9!=dIG7.
% 1.88/2.14  ** KEPT (pick-wt=3): 177 [copy,176,flip.1] dIG9!=dIG8.
% 1.88/2.14  ** KEPT (pick-wt=11): 178 [] min10(A)!=left(B)|mod10(A)=pair2(B,z).
% 1.88/2.14  ** KEPT (pick-wt=18): 179 [] min10(A)!=right(B)|mod10(B)!=pair2(C,D)|mod10(A)=pair2(C,s(D)).
% 1.88/2.14  ** KEPT (pick-wt=17): 180 [] mod10(s(A))!=pair2(B,C)|showNumnum(D,s(A))=showNumnum(cons(B,D),C).
% 1.88/2.14  ** KEPT (pick-wt=26): 181 [] show(A)!=cons(pAR1,cons(pAR1,cons(cHARX,cons(pLUS,cons(dIG5,cons(pAR2,cons(pLUS,cons(dIG7,cons(pAR2,cons(mULT,cons(cHARX,nil))))))))))).
% 1.88/2.14  ** KEPT (pick-wt=7): 182 [copy,11,flip.1] mul(A,B)!=add(C,D).
% 1.88/2.14  ** KEPT (pick-wt=6): 183 [copy,12,flip.1] num(A)!=add(B,C).
% 1.88/2.14  ** KEPT (pick-wt=6): 184 [copy,13,flip.1] num(A)!=mul(B,C).
% 1.88/2.14  ** KEPT (pick-wt=5): 185 [copy,14,flip.1] right(A)!=left(B).
% 1.88/2.14    Following clause subsumed by 11 during input processing: 0 [copy,182,flip.1] add(A,B)!=mul(C,D).
% 1.88/2.14    Following clause subsumed by 12 during input processing: 0 [copy,183,flip.1] add(A,B)!=num(C).
% 1.88/2.14    Following clause subsumed by 13 during input processing: 0 [copy,184,flip.1] mul(A,B)!=num(C).
% 1.88/2.14    Following clause subsumed by 14 during input processing: 0 [copy,185,flip.1] left(A)!=right(B).
% 1.88/2.14  
% 1.88/2.14  ------------> process sos:
% 1.88/2.14  ** KEPT (pick-wt=3): 186 [] A=A.
% 1.88/2.14  ** KEPT (pick-wt=6): 187 [] proj1pair(pair2(A,B))=A.
% 1.88/2.14  ---> New Demodulator: 188 [new_demod,187] proj1pair(pair2(A,B))=A.
% 1.88/2.14  ** KEPT (pick-wt=6): 189 [] proj2pair(pair2(A,B))=B.
% 1.88/2.14  ---> New Demodulator: 190 [new_demod,189] proj2pair(pair2(A,B))=B.
% 1.88/2.14  ** KEPT (pick-wt=6): 191 [] head(cons(A,B))=A.
% 1.88/2.14  ---> New Demodulator: 192 [new_demod,191] head(cons(A,B))=A.
% 1.88/2.14  ** KEPT (pick-wt=6): 193 [] tail(cons(A,B))=B.
% 1.88/2.14  ---> New Demodulator: 194 [new_demod,193] tail(cons(A,B))=B.
% 1.88/2.14  ** KEPT (pick-wt=5): 195 [] proj1S(s(A))=A.
% 1.88/2.14  ---> New Demodulator: 196 [new_demod,195] proj1S(s(A))=A.
% 1.88/2.14  ** KEPT (pick-wt=6): 197 [] proj1Add(add(A,B))=A.
% 1.88/2.14  ---> New Demodulator: 198 [new_demod,197] proj1Add(add(A,B))=A.
% 1.88/2.14  ** KEPT (pick-wt=6): 199 [] proj2Add(add(A,B))=B.
% 1.88/2.14  ---> New Demodulator: 200 [new_demod,199] proj2Add(add(A,B))=B.
% 1.88/2.14  ** KEPT (pick-wt=6): 201 [] proj1Mul(mul(A,B))=A.
% 1.88/2.14  ---> New Demodulator: 202 [new_demod,201] proj1Mul(mul(A,B))=A.
% 1.88/2.14  ** KEPT (pick-wt=6): 203 [] proj2Mul(mul(A,B))=B.
% 1.88/2.14  ---> New Demodulator: 204 [new_demod,203] proj2Mul(mul(A,B))=B.
% 1.88/2.14  ** KEPT (pick-wt=5): 205 [] proj1Num(num(A))=A.
% 1.88/2.14  ---> New Demodulator: 206 [new_demod,205] proj1Num(num(A))=A.
% 1.88/2.14  ** KEPT (pick-wt=5): 207 [] proj1Left(left(A))=A.
% 1.88/2.14  ---> New Demodulator: 208 [new_demod,207] proj1Left(left(A))=A.
% 1.88/2.14  ** KEPT (pick-wt=5): 209 [] proj1Right(right(A))=A.
% 1.88/2.14  ---> New Demodulator: 210 [new_demod,209] proj1Right(right(A))=A.
% 1.88/2.14  ** KEPT (pick-wt=5): 211 [] append(nil,A)=A.
% 1.88/2.14  ---> New Demodulator: 212 [new_demod,211] append(nil,A)=A.
% 1.88/2.14  ** KEPT (pick-wt=11): 214 [copy,213,flip.1] cons(A,append(B,C))=append(cons(A,B),C).
% 1.88/2.14  ---> New Demodulator: 215 [new_demod,214] cons(A,append(B,C))=append(cons(A,B),C).
% 1.88/2.14  ** KEPT (pick-wt=5): 216 [] x2(z,z)=z.
% 1.88/2.14  ---> New Demodulator: 217 [new_demod,216] x2(z,z)=z.
% 1.88/2.14  ** KEPT (pick-wt=6): 218 [] x2(z,s(A))=z.
% 1.88/2.14  ---> New Demodulator: 219 [new_demod,218] x2(z,s(A))=z.
% 1.88/2.14  ** KEPT (pick-wt=7): 220 [] x2(s(A),z)=s(A).
% 1.88/2.14  ---> New Demodulator: 221 [new_demod,220] x2(s(A),z)=s(A).
% 1.88/2.14  ** KEPT (pick-wt=9): 222 [] x2(s(A),s(B))=x2(A,B).
% 1.88/2.14  ---> New Demodulator: 223 [new_demod,222] x2(s(A),s(B))=x2(A,B).
% 1.88/2.14  ** KEPT (pick-wt=5): 224 [] min10(z)=left(dIG0).
% 1.88/2.14  ---> New Demodulator: 225 [new_demod,224] min10(z)=left(dIG0).
% 1.88/2.14  ** KEPT (pick-wt=6): 226 [] min10(s(z))=left(dIG1).
% 1.88/2.14  ---> New Demodulator: 227 [new_demod,226] min10(s(z))=left(dIG1).
% 1.88/2.14  ** KEPT (pick-wt=7): 228 [] min10(s(s(z)))=left(dIG2).
% 1.88/2.14  ---> New Demodulator: 229 [new_demod,228] min10(s(s(z)))=left(dIG2).
% 1.88/2.14  ** KEPT (pick-wt=8): 230 [] min10(s(s(s(z))))=left(dIG3).
% 1.88/2.14  ---> New Demodulator: 231 [new_demod,230] min10(s(s(s(z))))=left(dIG3).
% 1.88/2.14  ** KEPT (pick-wt=9): 232 [] min10(s(s(s(s(z)))))=left(dIG4).
% 1.88/2.14  ---> New Demodulator: 233 [new_demod,232] min10(s(s(s(s(z)))))=left(dIG4).
% 1.88/2.14  ** KEPT (pick-wt=10): 234 [] min10(s(s(s(s(s(z))))))=left(dIG5).
% 1.88/2.14  ---> New Demodulator: 235 [new_demod,234] min10(s(s(s(s(s(z))))))=left(dIG5).
% 1.88/2.14  ** KEPT (pick-wt=11): 236 [] min10(s(s(s(s(s(s(z)))))))=left(dIG6).
% 1.88/2.14  ---> New Demodulator: 237 [new_demod,236] min10(s(s(s(s(s(s(z)))))))=left(dIG6).
% 1.88/2.14  ** KEPT (pick-wt=12): 238 [] min10(s(s(s(s(s(s(s(z))))))))=left(dIG7).
% 1.88/2.14  ---> New Demodulator: 239 [new_demod,238] min10(s(s(s(s(s(s(s(z))))))))=left(dIG7).
% 1.88/2.14  ** KEPT (pick-wt=13): 240 [] min10(s(s(s(s(s(s(s(s(z)))))))))=left(dIG8).
% 1.88/2.14  ---> New Demodulator: 241 [new_demod,240] min10(s(s(s(s(s(s(s(s(z)))))))))=left(dIG8).
% 1.88/2.14  ** KEPT (pick-wt=14): 242 [] min10(s(s(s(s(s(s(s(s(s(z))))))))))=left(dIG9).
% 1.88/2.14  ---> New Demodulator: 243 [new_demod,242] min10(s(s(s(s(s(s(s(s(s(z))))))))))=left(dIG9).
% 1.88/2.14  ** KEPT (pick-wt=17): 245 [copy,244,demod,223,223,223,223,223,223,223,223,223,223] min10(s(s(s(s(s(s(s(s(s(s(A)))))))))))=right(x2(A,z)).
% 1.88/2.14  ---> New Demodulator: 246 [new_demod,245] min10(s(s(s(s(s(s(s(s(s(s(A)))))))))))=right(x2(A,z)).
% 1.88/2.14  ** KEPT (pick-wt=5): 247 [] showNumnum(A,z)=A.
% 1.88/2.14  ---> New Demodulator: 248 [new_demod,247] showNumnum(A,z)=A.
% 1.88/2.14  ** KEPT (pick-wt=6): 249 [] showNum(z)=cons(dIG0,nil).
% 1.88/2.14  ---> New Demodulator: 250 [new_demod,249] showNum(z)=cons(dIG0,nil).
% 1.88/2.14  ** KEPT (pick-wt=8): 251 [] showNum(s(A))=showNumnum(nil,s(A)).
% 1.88/2.14  ---> New Demodulator: 252 [new_demod,251] showNum(s(A))=showNumnum(nil,s(A)).
% 1.88/2.14  ** KEPT (pick-wt=6): 253 [] show(x)=cons(cHARX,nil).
% 1.88/2.14  ---> New Demodulator: 254 [new_demod,253] show(x)=cons(cHARX,nil).
% 1.88/2.14  ** KEPT (pick-wt=14): 255 [] show(add(A,B))=append(show(A),append(cons(pLUS,nil),show(B))).
% 1.88/2.14  ---> New Demodulator: 256 [new_demod,255] show(add(A,B))=append(show(A),append(cons(pLUS,nil),show(B))).
% 1.88/2.14  ** KEPT (pick-wt=14): 257 [] show(mul(A,B))=append(showF(A),append(cons(mULT,nil),showF(B))).
% 1.88/2.14  ** KEPT (pick-wt=6): 259 [copy,258,flip.1] showNum(A)=show(num(A)).
% 1.88/2.14  ---> New Demodulator: 260 [new_demod,259] showNum(A)=show(num(A)).
% 1.88/2.14  ** KEPT (pick-wt=12): 262 [copy,261,flip.1] add(proj1Add(A),proj2Add(A))=A|showF(A)=show(A).
% 1.88/2.14  ** KEPT (pick-wt=20): 264 [copy,263,demod,256,215,215] showF(add(A,B))=append(append(cons(pAR1,show(A)),append(cons(pLUS,nil),show(B))),cons(pAR2,nil)).
% 1.88/2.14  ---> New Demodulator: 265 [new_demod,264] showF(add(A,B))=append(append(cons(pAR1,show(A)),append(cons(pLUS,nil),show(B))),cons(pAR2,nil)).
% 1.88/2.14    Following clause subsumed by 186 during input processing: 0 [copy,186,flip.1] A=A.
% 1.88/2.14  >>>> Starting back demodulation with 188.
% 1.88/2.14  >>>> Starting back demodulation with 190.
% 1.88/2.14  >>>> Starting back demodulation with 192.
% 1.88/2.14  >>>> Starting back demodulation with 194.
% 1.88/2.14  >>>> Starting back demodulation with 196.
% 2.48/2.75  >>>> Starting back demodulation with 198.
% 2.48/2.75  >>>> Starting back demodulation with 200.
% 2.48/2.75  >>>> Starting back demodulation with 202.
% 2.48/2.75  >>>> Starting back demodulation with 204.
% 2.48/2.75  >>>> Starting back demodulation with 206.
% 2.48/2.75  >>>> Starting back demodulation with 208.
% 2.48/2.75  >>>> Starting back demodulation with 210.
% 2.48/2.75  >>>> Starting back demodulation with 212.
% 2.48/2.75  >>>> Starting back demodulation with 215.
% 2.48/2.75  >>>> Starting back demodulation with 217.
% 2.48/2.75  >>>> Starting back demodulation with 219.
% 2.48/2.75  >>>> Starting back demodulation with 221.
% 2.48/2.75  >>>> Starting back demodulation with 223.
% 2.48/2.75  >>>> Starting back demodulation with 225.
% 2.48/2.75  >>>> Starting back demodulation with 227.
% 2.48/2.75  >>>> Starting back demodulation with 229.
% 2.48/2.75  >>>> Starting back demodulation with 231.
% 2.48/2.75  >>>> Starting back demodulation with 233.
% 2.48/2.75  >>>> Starting back demodulation with 235.
% 2.48/2.75  >>>> Starting back demodulation with 237.
% 2.48/2.75  >>>> Starting back demodulation with 239.
% 2.48/2.75  >>>> Starting back demodulation with 241.
% 2.48/2.75  >>>> Starting back demodulation with 243.
% 2.48/2.75  >>>> Starting back demodulation with 246.
% 2.48/2.75  >>>> Starting back demodulation with 248.
% 2.48/2.75  >>>> Starting back demodulation with 250.
% 2.48/2.75  >>>> Starting back demodulation with 252.
% 2.48/2.75  >>>> Starting back demodulation with 254.
% 2.48/2.75  >>>> Starting back demodulation with 256.
% 2.48/2.75  ** KEPT (pick-wt=14): 266 [copy,257,flip.1] append(showF(A),append(cons(mULT,nil),showF(B)))=show(mul(A,B)).
% 2.48/2.75  >>>> Starting back demodulation with 260.
% 2.48/2.75      >> back demodulating 251 with 260.
% 2.48/2.75      >> back demodulating 249 with 260.
% 2.48/2.75  >>>> Starting back demodulation with 265.
% 2.48/2.75    Following clause subsumed by 257 during input processing: 0 [copy,266,flip.1] show(mul(A,B))=append(showF(A),append(cons(mULT,nil),showF(B))).
% 2.48/2.75  >>>> Starting back demodulation with 268.
% 2.48/2.75  >>>> Starting back demodulation with 270.
% 2.48/2.75  
% 2.48/2.75  ======= end of input processing =======
% 2.48/2.75  
% 2.48/2.75  =========== start of search ===========
% 2.48/2.75  
% 2.48/2.75  
% 2.48/2.75  Resetting weight limit to 10.
% 2.48/2.75  
% 2.48/2.75  
% 2.48/2.75  Resetting weight limit to 10.
% 2.48/2.75  
% 2.48/2.75  sos_size=283
% 2.48/2.75  
% 2.48/2.75  Search stopped because sos empty.
% 2.48/2.75  
% 2.48/2.75  
% 2.48/2.75  Search stopped because sos empty.
% 2.48/2.75  
% 2.48/2.75  ============ end of search ============
% 2.48/2.75  
% 2.48/2.75  -------------- statistics -------------
% 2.48/2.75  clauses given               1708
% 2.48/2.75  clauses generated         142314
% 2.48/2.75  clauses kept                1844
% 2.48/2.75  clauses forward subsumed    9277
% 2.48/2.75  clauses back subsumed         32
% 2.48/2.75  Kbytes malloced             6835
% 2.48/2.75  
% 2.48/2.75  ----------- times (seconds) -----------
% 2.48/2.75  user CPU time          0.61          (0 hr, 0 min, 0 sec)
% 2.48/2.75  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.48/2.75  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.48/2.75  
% 2.48/2.75  Process 13812 finished Tue May  5 11:37:18 2026
% 2.48/2.75  Otter interrupted
% 2.48/2.75  PROOF NOT FOUND
%------------------------------------------------------------------------------