TSTP Solution File: SWW043_1 by SPASS+T---2.2.22

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : SWW043_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n018.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  : 600s
% DateTime : Thu Jul 21 01:29:32 EDT 2022

% Result   : Theorem 20.60s 18.53s
% Output   : Refutation 20.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWW043_1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.13  % Command  : spasst-tptp-script %s %d
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun  6 00:52:19 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.51  % Using integer theory
% 20.60/18.53  
% 20.60/18.53  
% 20.60/18.53  % SZS status Theorem for /tmp/SPASST_20492_n018.cluster.edu
% 20.60/18.53  
% 20.60/18.53  SPASS V 2.2.22  in combination with yices.
% 20.60/18.53  SPASS beiseite: Proof found by SPASS.
% 20.60/18.53  Problem: /tmp/SPASST_20492_n018.cluster.edu 
% 20.60/18.53  SPASS derived 4525 clauses, backtracked 697 clauses and kept 1514 clauses.
% 20.60/18.53  SPASS backtracked 28 times (0 times due to theory inconsistency).
% 20.60/18.53  SPASS allocated 17037 KBytes.
% 20.60/18.53  SPASS spent	0:00:03.91 on the problem.
% 20.60/18.53  		0:00:00.14 for the input.
% 20.60/18.53  		0:00:01.00 for the FLOTTER CNF translation.
% 20.60/18.53  		0:00:00.22 for inferences.
% 20.60/18.53  		0:00:00.06 for the backtracking.
% 20.60/18.53  		0:00:02.10 for the reduction.
% 20.60/18.53  		0:00:00.19 for interacting with the SMT procedure.
% 20.60/18.53  		
% 20.60/18.53  
% 20.60/18.53  % SZS output start CNFRefutation for /tmp/SPASST_20492_n018.cluster.edu
% 20.60/18.53  
% 20.60/18.53  % Here is a proof with depth 6, length 250 :
% 20.60/18.53  9[0:Inp] ||  -> less(z2,z1)*.
% 20.60/18.53  14[0:Inp] || equal(z2,z1)** -> .
% 20.60/18.53  15[0:Inp] || equal(z3,z1)** -> .
% 20.60/18.53  17[0:Inp] || equal(z5,z1)** -> .
% 20.60/18.53  19[0:Inp] || equal(z3,z2)** -> .
% 20.60/18.53  21[0:Inp] || equal(z5,z2)** -> .
% 20.60/18.53  24[0:Inp] || equal(z5,z3)** -> .
% 20.60/18.53  29[0:Inp] ||  -> equal(a(z1),3)**.
% 20.60/18.53  30[0:Inp] ||  -> equal(a(z2),10)**.
% 20.60/18.53  31[0:Inp] ||  -> equal(a(z3),5)**.
% 20.60/18.53  32[0:Inp] ||  -> equal(a(z5),7)**.
% 20.60/18.53  33[0:Inp] ||  -> less(b(z1),4)*.
% 20.60/18.53  34[0:Inp] ||  -> equal(b(z2),2)**.
% 20.60/18.53  35[0:Inp] ||  -> equal(b(z3),5)**.
% 20.60/18.53  89[0:Inp] || equal(b(U),2)** equal(a(U),8) equal(a(V),10) less(b(V),3)* less(V,W)* less(b(W),4)* equal(a(W),3) -> equal(V,U)* equal(W,U)* equal(W,V).
% 20.60/18.53  199[0:Inp] || equal(a(U),8)** equal(a(V),4)** equal(a(W),10) equal(b(W),2) less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  217[0:Inp] || equal(a(U),8)** equal(a(V),5)** equal(a(W),10) equal(b(W),2) less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  218[0:Inp] || equal(b(U),5)** equal(a(V),4)** equal(a(W),10) equal(b(W),2) less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  238[0:Inp] || equal(a(U),8)** equal(a(V),6)** equal(a(W),10) equal(b(W),2) less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  239[0:Inp] || equal(b(U),5)** equal(a(V),5)** equal(a(W),10) equal(b(W),2) less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  260[0:Inp] || equal(b(U),5)** equal(a(V),6)** equal(a(W),10) equal(b(W),2) less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  300[0:Inp] || equal(a(U),7)** equal(b(V),5)** equal(a(V),4) equal(a(W),10) equal(b(W),2) less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  302[0:Inp] || equal(a(U),12) equal(b(U),5)** equal(a(V),6)** equal(a(W),10) less(b(W),3)* less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  313[0:Inp] || equal(a(U),7)** equal(b(V),5)** equal(a(V),5) equal(a(W),10) equal(b(W),2) less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  315[0:Inp] || equal(a(U),1) equal(b(U),5)** equal(a(V),6)** equal(a(W),10) less(b(W),3)* less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  325[0:Inp] || equal(a(U),7)** equal(b(V),5)** equal(a(V),6) equal(a(W),10) equal(b(W),2) less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  326[0:Inp] || equal(a(U),2) equal(b(U),5)** equal(a(V),6)** equal(a(W),10) less(b(W),3)* less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  337[0:Inp] || equal(a(U),8)** equal(b(V),2)** equal(a(V),7) equal(a(W),10) less(b(W),3)* less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  341[0:Inp] || equal(b(U),5)** equal(b(V),2)** equal(a(V),7) equal(a(W),10) less(b(W),3)* less(W,X)* less(b(X),4)* equal(a(X),3) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 20.60/18.53  536[0:TOC:89.5] || equal(a(U),3)+ equal(a(V),10) equal(a(W),8) equal(b(W),2)** -> equal(U,V) equal(U,W)* equal(V,W)* lesseq(U,V)* lesseq(3,b(V))* lesseq(4,b(U))*.
% 20.60/18.53  646[0:TOC:199.5] || equal(a(U),3)+ equal(b(V),2) equal(a(V),10) equal(a(W),4)** equal(a(X),8)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(4,b(U))*.
% 20.60/18.53  664[0:TOC:217.5] || equal(a(U),3)+ equal(b(V),2) equal(a(V),10) equal(a(W),5)** equal(a(X),8)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(4,b(U))*.
% 20.60/18.53  665[0:TOC:218.5] || equal(a(U),3)+ equal(b(V),2) equal(a(V),10) equal(a(W),4)** equal(b(X),5)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(4,b(U))*.
% 20.60/18.53  685[0:TOC:238.5] || equal(a(U),3)+ equal(b(V),2) equal(a(V),10) equal(a(W),6)** equal(a(X),8)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(4,b(U))*.
% 20.60/18.53  686[0:TOC:239.5] || equal(a(U),3)+ equal(b(V),2) equal(a(V),10) equal(a(W),5)** equal(b(X),5)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(4,b(U))*.
% 20.60/18.53  707[0:TOC:260.5] || equal(a(U),3)+ equal(b(V),2) equal(a(V),10) equal(a(W),6)** equal(b(X),5)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(4,b(U))*.
% 20.60/18.53  747[0:TOC:300.6] || equal(a(U),3)+ equal(b(V),2) equal(a(V),10) equal(a(W),4) equal(b(W),5)** equal(a(X),7)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(4,b(U))*.
% 20.60/18.53  749[0:TOC:302.6] || equal(a(U),3)+ equal(a(V),10) equal(a(W),6)** equal(b(X),5)** equal(a(X),12) -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))* lesseq(4,b(U))*.
% 20.60/18.53  760[0:TOC:313.6] || equal(a(U),3)+ equal(b(V),2) equal(a(V),10) equal(a(W),5) equal(b(W),5)** equal(a(X),7)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(4,b(U))*.
% 20.60/18.53  762[0:TOC:315.6] || equal(a(U),3)+ equal(a(V),10) equal(a(W),6)** equal(b(X),5)** equal(a(X),1) -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))* lesseq(4,b(U))*.
% 20.60/18.53  772[0:TOC:325.6] || equal(a(U),3)+ equal(b(V),2) equal(a(V),10) equal(a(W),6) equal(b(W),5)** equal(a(X),7)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(4,b(U))*.
% 20.60/18.53  773[0:TOC:326.6] || equal(a(U),3)+ equal(a(V),10) equal(a(W),6)** equal(b(X),5)** equal(a(X),2) -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))* lesseq(4,b(U))*.
% 20.60/18.53  784[0:TOC:337.6] || equal(a(U),3)+ equal(a(V),10) equal(a(W),7) equal(b(W),2)** equal(a(X),8)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))* lesseq(4,b(U))*.
% 20.60/18.53  788[0:TOC:341.6] || equal(a(U),3)+ equal(a(V),10) equal(a(W),7) equal(b(W),2)** equal(b(X),5)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))* lesseq(4,b(U))*.
% 20.60/18.53  1441[0:SpL:29.0,536.0] || equal(3,3) equal(a(U),10) equal(a(V),8) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))* lesseq(4,b(z1))*.
% 20.60/18.53  1442(e)[0:ArS:1441.0] || equal(a(U),10) equal(a(V),8) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))* lesseq(4,b(z1))*.
% 20.60/18.53  1446[1:Spt:1442.8] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  1449(e)[1:OCE:1446.0,33.0] ||  -> .
% 20.60/18.53  1454[1:Spt:1449.0,1442.8,1446.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  1455[1:Spt:1449.0,1442.0,1442.1,1442.2,1442.3,1442.4,1442.5,1442.6,1442.7] || equal(a(U),10)+ equal(a(V),8) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 20.60/18.53  1482[1:SpL:30.0,1455.0] || equal(10,10) equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 20.60/18.53  1485[1:ArS:1482.0] || equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 20.60/18.53  1486[1:Rew:34.0,1485.6] || equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2)* lesseq(3,2).
% 20.60/18.53  1487[1:ArS:1486.6] || equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2)*.
% 20.60/18.53  1488(e)[1:MRR:1487.2,14.0] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(z1,z2)*.
% 20.60/18.53  1507[2:Spt:1488.4] ||  -> lesseq(z1,z2)*.
% 20.60/18.53  1510(e)[2:OCE:1507.0,9.0] ||  -> .
% 20.60/18.53  1513[2:Spt:1510.0,1488.4,1507.0] || lesseq(z1,z2)* -> .
% 20.60/18.53  1514[2:Spt:1510.0,1488.0,1488.1,1488.2,1488.3] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U).
% 20.60/18.53  2168[0:SpL:29.0,664.0] || equal(3,3) equal(b(U),2) equal(a(U),10) equal(a(V),5)** equal(a(W),8)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  2169(e)[0:ArS:2168.0] || equal(b(U),2) equal(a(U),10) equal(a(V),5)** equal(a(W),8)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  2173[3:Spt:2169.11] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  2176(e)[3:OCE:2173.0,33.0] ||  -> .
% 20.60/18.53  2181[3:Spt:2176.0,2169.11,2173.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  2182[3:Spt:2176.0,2169.0,2169.1,2169.2,2169.3,2169.4,2169.5,2169.6,2169.7,2169.8,2169.9,2169.10] || equal(b(U),2)+ equal(a(U),10) equal(a(V),5)** equal(a(W),8)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)*.
% 20.60/18.53  2186[3:SpL:34.0,2182.0] || equal(2,2) equal(a(z2),10) equal(a(U),5)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2187[3:ArS:2186.0] || equal(a(z2),10) equal(a(U),5)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2188[3:Rew:30.0,2187.0] || equal(10,10) equal(a(U),5)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2189[3:ArS:2188.0] || equal(a(U),5)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2190(e)[3:MRR:2189.2,14.0] || equal(a(U),5)** equal(a(V),8)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2210[4:Spt:2190.7] ||  -> lesseq(z1,z2)*.
% 20.60/18.53  2213(e)[4:OCE:2210.0,9.0] ||  -> .
% 20.60/18.53  2216[4:Spt:2213.0,2190.7,2210.0] || lesseq(z1,z2)* -> .
% 20.60/18.53  2217[4:Spt:2213.0,2190.0,2190.1,2190.2,2190.3,2190.4,2190.5,2190.6] || equal(a(U),5)**+ equal(a(V),8)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 20.60/18.53  2277[0:SpL:29.0,685.0] || equal(3,3) equal(b(U),2) equal(a(U),10) equal(a(V),6)** equal(a(W),8)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  2278(e)[0:ArS:2277.0] || equal(b(U),2) equal(a(U),10) equal(a(V),6)** equal(a(W),8)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  2282[5:Spt:2278.11] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  2285(e)[5:OCE:2282.0,33.0] ||  -> .
% 20.60/18.53  2290[5:Spt:2285.0,2278.11,2282.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  2291[5:Spt:2285.0,2278.0,2278.1,2278.2,2278.3,2278.4,2278.5,2278.6,2278.7,2278.8,2278.9,2278.10] || equal(b(U),2)+ equal(a(U),10) equal(a(V),6)** equal(a(W),8)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)*.
% 20.60/18.53  2295[5:SpL:34.0,2291.0] || equal(2,2) equal(a(z2),10) equal(a(U),6)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2296[5:ArS:2295.0] || equal(a(z2),10) equal(a(U),6)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2297[5:Rew:30.0,2296.0] || equal(10,10) equal(a(U),6)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2298[5:ArS:2297.0] || equal(a(U),6)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2299(e)[5:MRR:2298.2,14.0] || equal(a(U),6)** equal(a(V),8)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2327[6:Spt:2299.7] ||  -> lesseq(z1,z2)*.
% 20.60/18.53  2330(e)[6:OCE:2327.0,9.0] ||  -> .
% 20.60/18.53  2333[6:Spt:2330.0,2299.7,2327.0] || lesseq(z1,z2)* -> .
% 20.60/18.53  2334[6:Spt:2330.0,2299.0,2299.1,2299.2,2299.3,2299.4,2299.5,2299.6] || equal(a(U),6)**+ equal(a(V),8)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 20.60/18.53  2790[0:SpL:29.0,707.0] || equal(3,3) equal(b(U),2) equal(a(U),10) equal(a(V),6)** equal(b(W),5)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  2791(e)[0:ArS:2790.0] || equal(b(U),2) equal(a(U),10) equal(a(V),6)** equal(b(W),5)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  2795[7:Spt:2791.11] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  2798(e)[7:OCE:2795.0,33.0] ||  -> .
% 20.60/18.53  2803[7:Spt:2798.0,2791.11,2795.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  2804[7:Spt:2798.0,2791.0,2791.1,2791.2,2791.3,2791.4,2791.5,2791.6,2791.7,2791.8,2791.9,2791.10] || equal(b(U),2)+ equal(a(U),10) equal(a(V),6)** equal(b(W),5)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)*.
% 20.60/18.53  2810[7:SpL:34.0,2804.0] || equal(2,2) equal(a(z2),10) equal(a(U),6)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2811[7:ArS:2810.0] || equal(a(z2),10) equal(a(U),6)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2812[7:Rew:30.0,2811.0] || equal(10,10) equal(a(U),6)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2813[7:ArS:2812.0] || equal(a(U),6)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2814(e)[7:MRR:2813.2,14.0] || equal(a(U),6)** equal(b(V),5)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  2842[8:Spt:2814.7] ||  -> lesseq(z1,z2)*.
% 20.60/18.53  2845(e)[8:OCE:2842.0,9.0] ||  -> .
% 20.60/18.53  2848[8:Spt:2845.0,2814.7,2842.0] || lesseq(z1,z2)* -> .
% 20.60/18.53  2849[8:Spt:2845.0,2814.0,2814.1,2814.2,2814.3,2814.4,2814.5,2814.6] || equal(a(U),6)**+ equal(b(V),5)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 20.60/18.53  3286[0:SpL:29.0,646.0] || equal(3,3) equal(b(U),2) equal(a(U),10) equal(a(V),4)** equal(a(W),8)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  3287(e)[0:ArS:3286.0] || equal(b(U),2) equal(a(U),10) equal(a(V),4)** equal(a(W),8)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  3291[9:Spt:3287.11] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  3294(e)[9:OCE:3291.0,33.0] ||  -> .
% 20.60/18.53  3299[9:Spt:3294.0,3287.11,3291.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  3300[9:Spt:3294.0,3287.0,3287.1,3287.2,3287.3,3287.4,3287.5,3287.6,3287.7,3287.8,3287.9,3287.10] || equal(b(U),2)+ equal(a(U),10) equal(a(V),4)** equal(a(W),8)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)*.
% 20.60/18.53  3308[9:SpL:34.0,3300.0] || equal(2,2) equal(a(z2),10) equal(a(U),4)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  3309[9:ArS:3308.0] || equal(a(z2),10) equal(a(U),4)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  3310[9:Rew:30.0,3309.0] || equal(10,10) equal(a(U),4)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  3311[9:ArS:3310.0] || equal(a(U),4)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  3312(e)[9:MRR:3311.2,14.0] || equal(a(U),4)** equal(a(V),8)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  3332[10:Spt:3312.7] ||  -> lesseq(z1,z2)*.
% 20.60/18.53  3335(e)[10:OCE:3332.0,9.0] ||  -> .
% 20.60/18.53  3338[10:Spt:3335.0,3312.7,3332.0] || lesseq(z1,z2)* -> .
% 20.60/18.53  3339[10:Spt:3335.0,3312.0,3312.1,3312.2,3312.3,3312.4,3312.5,3312.6] || equal(a(U),4)**+ equal(a(V),8)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 20.60/18.53  4020[0:SpL:29.0,665.0] || equal(3,3) equal(b(U),2) equal(a(U),10) equal(a(V),4)** equal(b(W),5)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  4021(e)[0:ArS:4020.0] || equal(b(U),2) equal(a(U),10) equal(a(V),4)** equal(b(W),5)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  4025[11:Spt:4021.11] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  4028(e)[11:OCE:4025.0,33.0] ||  -> .
% 20.60/18.53  4033[11:Spt:4028.0,4021.11,4025.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  4034[11:Spt:4028.0,4021.0,4021.1,4021.2,4021.3,4021.4,4021.5,4021.6,4021.7,4021.8,4021.9,4021.10] || equal(b(U),2)+ equal(a(U),10) equal(a(V),4)** equal(b(W),5)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)*.
% 20.60/18.53  4040[11:SpL:34.0,4034.0] || equal(2,2) equal(a(z2),10) equal(a(U),4)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  4041[11:ArS:4040.0] || equal(a(z2),10) equal(a(U),4)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  4042[11:Rew:30.0,4041.0] || equal(10,10) equal(a(U),4)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  4043[11:ArS:4042.0] || equal(a(U),4)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  4044(e)[11:MRR:4043.2,14.0] || equal(a(U),4)** equal(b(V),5)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  4064[12:Spt:4044.7] ||  -> lesseq(z1,z2)*.
% 20.60/18.53  4067(e)[12:OCE:4064.0,9.0] ||  -> .
% 20.60/18.53  4070[12:Spt:4067.0,4044.7,4064.0] || lesseq(z1,z2)* -> .
% 20.60/18.53  4071[12:Spt:4067.0,4044.0,4044.1,4044.2,4044.3,4044.4,4044.5,4044.6] || equal(a(U),4)**+ equal(b(V),5)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 20.60/18.53  4370[0:SpL:29.0,686.0] || equal(3,3) equal(b(U),2) equal(a(U),10) equal(a(V),5)** equal(b(W),5)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  4371(e)[0:ArS:4370.0] || equal(b(U),2) equal(a(U),10) equal(a(V),5)** equal(b(W),5)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  4377[13:Spt:4371.11] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  4380(e)[13:OCE:4377.0,33.0] ||  -> .
% 20.60/18.53  4385[13:Spt:4380.0,4371.11,4377.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  4386[13:Spt:4380.0,4371.0,4371.1,4371.2,4371.3,4371.4,4371.5,4371.6,4371.7,4371.8,4371.9,4371.10] || equal(b(U),2)+ equal(a(U),10) equal(a(V),5)** equal(b(W),5)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)*.
% 20.60/18.53  4390[13:SpL:34.0,4386.0] || equal(2,2) equal(a(z2),10) equal(a(U),5)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  4391[13:ArS:4390.0] || equal(a(z2),10) equal(a(U),5)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  4392[13:Rew:30.0,4391.0] || equal(10,10) equal(a(U),5)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  4393[13:ArS:4392.0] || equal(a(U),5)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  4394(e)[13:MRR:4393.2,14.0] || equal(a(U),5)** equal(b(V),5)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  4414[14:Spt:4394.7] ||  -> lesseq(z1,z2)*.
% 20.60/18.53  4417(e)[14:OCE:4414.0,9.0] ||  -> .
% 20.60/18.53  4420[14:Spt:4417.0,4394.7,4414.0] || lesseq(z1,z2)* -> .
% 20.60/18.53  4421[14:Spt:4417.0,4394.0,4394.1,4394.2,4394.3,4394.4,4394.5,4394.6] || equal(a(U),5)**+ equal(b(V),5)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 20.60/18.53  5189[0:SpL:29.0,749.0] || equal(3,3) equal(a(U),10) equal(a(V),6)** equal(b(W),5)** equal(a(W),12) -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))* lesseq(4,b(z1))*.
% 20.60/18.53  5190(e)[0:ArS:5189.0] || equal(a(U),10) equal(a(V),6)** equal(b(W),5)** equal(a(W),12) -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))* lesseq(4,b(z1))*.
% 20.60/18.53  5202[15:Spt:5190.12] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  5205(e)[15:OCE:5202.0,33.0] ||  -> .
% 20.60/18.53  5210[15:Spt:5205.0,5190.12,5202.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  5211[15:Spt:5205.0,5190.0,5190.1,5190.2,5190.3,5190.4,5190.5,5190.6,5190.7,5190.8,5190.9,5190.10,5190.11] || equal(a(U),10)+ equal(a(V),6)** equal(b(W),5)** equal(a(W),12) -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 20.60/18.53  5232[0:SpL:29.0,762.0] || equal(3,3) equal(a(U),10) equal(a(V),6)** equal(b(W),5)** equal(a(W),1) -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))* lesseq(4,b(z1))*.
% 20.60/18.53  5233(e)[0:ArS:5232.0] || equal(a(U),10) equal(a(V),6)** equal(b(W),5)** equal(a(W),1) -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))* lesseq(4,b(z1))*.
% 20.60/18.53  5570[0:SpL:29.0,773.0] || equal(3,3) equal(a(U),10) equal(a(V),6)** equal(b(W),5)** equal(a(W),2) -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))* lesseq(4,b(z1))*.
% 20.60/18.53  5571(e)[0:ArS:5570.0] || equal(a(U),10) equal(a(V),6)** equal(b(W),5)** equal(a(W),2) -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))* lesseq(4,b(z1))*.
% 20.60/18.53  5575[16:Spt:5233.12] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  5578(e)[16:OCE:5575.0,33.0] ||  -> .
% 20.60/18.53  5583[16:Spt:5578.0,5233.12,5575.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  5584[16:Spt:5578.0,5233.0,5233.1,5233.2,5233.3,5233.4,5233.5,5233.6,5233.7,5233.8,5233.9,5233.10,5233.11] || equal(a(U),10)+ equal(a(V),6)** equal(b(W),5)** equal(a(W),1) -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 20.60/18.53  5946[17:Spt:5571.12] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  5949(e)[17:OCE:5946.0,33.0] ||  -> .
% 20.60/18.53  5954[17:Spt:5949.0,5571.12,5946.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  5955[17:Spt:5949.0,5571.0,5571.1,5571.2,5571.3,5571.4,5571.5,5571.6,5571.7,5571.8,5571.9,5571.10,5571.11] || equal(a(U),10)+ equal(a(V),6)** equal(b(W),5)** equal(a(W),2) -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 20.60/18.53  5974[0:SpL:29.0,784.0] || equal(3,3) equal(a(U),10) equal(a(V),7) equal(b(V),2)** equal(a(W),8)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))* lesseq(4,b(z1))*.
% 20.60/18.53  5975(e)[0:ArS:5974.0] || equal(a(U),10) equal(a(V),7) equal(b(V),2)** equal(a(W),8)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))* lesseq(4,b(z1))*.
% 20.60/18.53  6333[18:Spt:5975.12] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  6336(e)[18:OCE:6333.0,33.0] ||  -> .
% 20.60/18.53  6341[18:Spt:6336.0,5975.12,6333.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  6342[18:Spt:6336.0,5975.0,5975.1,5975.2,5975.3,5975.4,5975.5,5975.6,5975.7,5975.8,5975.9,5975.10,5975.11] || equal(a(U),10)+ equal(a(V),7) equal(b(V),2)** equal(a(W),8)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 20.60/18.53  6348[18:SpL:30.0,6342.0] || equal(10,10) equal(a(U),7) equal(b(U),2)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 20.60/18.53  6351[18:ArS:6348.0] || equal(a(U),7) equal(b(U),2)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 20.60/18.53  6352[18:Rew:34.0,6351.10] || equal(a(U),7) equal(b(U),2)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)* lesseq(3,2).
% 20.60/18.53  6353[18:ArS:6352.10] || equal(a(U),7) equal(b(U),2)** equal(a(V),8)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  6354(e)[18:MRR:6353.3,14.0] || equal(a(U),7) equal(b(U),2)** equal(a(V),8)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  6362[0:SpL:29.0,788.0] || equal(3,3) equal(a(U),10) equal(a(V),7) equal(b(V),2)** equal(b(W),5)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))* lesseq(4,b(z1))*.
% 20.60/18.53  6363(e)[0:ArS:6362.0] || equal(a(U),10) equal(a(V),7) equal(b(V),2)** equal(b(W),5)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))* lesseq(4,b(z1))*.
% 20.60/18.53  6717[19:Spt:6354.8] ||  -> lesseq(z1,z2)*.
% 20.60/18.53  6720(e)[19:OCE:6717.0,9.0] ||  -> .
% 20.60/18.53  6723[19:Spt:6720.0,6354.8,6717.0] || lesseq(z1,z2)* -> .
% 20.60/18.53  6724[19:Spt:6720.0,6354.0,6354.1,6354.2,6354.3,6354.4,6354.5,6354.6,6354.7] || equal(a(U),7)+ equal(b(U),2)** equal(a(V),8)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 20.60/18.53  7115[20:Spt:6363.12] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  7118(e)[20:OCE:7115.0,33.0] ||  -> .
% 20.60/18.53  7123[20:Spt:7118.0,6363.12,7115.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  7124[20:Spt:7118.0,6363.0,6363.1,6363.2,6363.3,6363.4,6363.5,6363.6,6363.7,6363.8,6363.9,6363.10,6363.11] || equal(a(U),10)+ equal(a(V),7) equal(b(V),2)** equal(b(W),5)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 20.60/18.53  7130[20:SpL:30.0,7124.0] || equal(10,10) equal(a(U),7) equal(b(U),2)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 20.60/18.53  7133[20:ArS:7130.0] || equal(a(U),7) equal(b(U),2)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 20.60/18.53  7134[20:Rew:34.0,7133.10] || equal(a(U),7) equal(b(U),2)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)* lesseq(3,2).
% 20.60/18.53  7135[20:ArS:7134.10] || equal(a(U),7) equal(b(U),2)** equal(b(V),5)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  7136(e)[20:MRR:7135.3,14.0] || equal(a(U),7) equal(b(U),2)** equal(b(V),5)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  7148[0:SpL:29.0,772.0] || equal(3,3) equal(b(U),2) equal(a(U),10) equal(a(V),6) equal(b(V),5)** equal(a(W),7)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  7149(e)[0:ArS:7148.0] || equal(b(U),2) equal(a(U),10) equal(a(V),6) equal(b(V),5)** equal(a(W),7)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  7501[21:Spt:7136.8] ||  -> lesseq(z1,z2)*.
% 20.60/18.53  7504(e)[21:OCE:7501.0,9.0] ||  -> .
% 20.60/18.53  7507[21:Spt:7504.0,7136.8,7501.0] || lesseq(z1,z2)* -> .
% 20.60/18.53  7508[21:Spt:7504.0,7136.0,7136.1,7136.2,7136.3,7136.4,7136.5,7136.6,7136.7] || equal(a(U),7)+ equal(b(U),2)** equal(b(V),5)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 20.60/18.53  7888[0:SpL:29.0,747.0] || equal(3,3) equal(b(U),2) equal(a(U),10) equal(a(V),4) equal(b(V),5)** equal(a(W),7)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  7889(e)[0:ArS:7888.0] || equal(b(U),2) equal(a(U),10) equal(a(V),4) equal(b(V),5)** equal(a(W),7)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  7893[22:Spt:7149.12] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  7896(e)[22:OCE:7893.0,33.0] ||  -> .
% 20.60/18.53  7901[22:Spt:7896.0,7149.12,7893.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  7902[22:Spt:7896.0,7149.0,7149.1,7149.2,7149.3,7149.4,7149.5,7149.6,7149.7,7149.8,7149.9,7149.10,7149.11] || equal(b(U),2)+ equal(a(U),10) equal(a(V),6) equal(b(V),5)** equal(a(W),7)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)*.
% 20.60/18.53  7906[22:SpL:34.0,7902.0] || equal(2,2) equal(a(z2),10) equal(a(U),6) equal(b(U),5)** equal(a(V),7)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  7907[22:ArS:7906.0] || equal(a(z2),10) equal(a(U),6) equal(b(U),5)** equal(a(V),7)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  7908[22:Rew:30.0,7907.0] || equal(10,10) equal(a(U),6) equal(b(U),5)** equal(a(V),7)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  7909[22:ArS:7908.0] || equal(a(U),6) equal(b(U),5)** equal(a(V),7)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  7910(e)[22:MRR:7909.3,14.0] || equal(a(U),6) equal(b(U),5)** equal(a(V),7)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  8286[23:Spt:7910.8] ||  -> lesseq(z1,z2)*.
% 20.60/18.53  8289(e)[23:OCE:8286.0,9.0] ||  -> .
% 20.60/18.53  8292[23:Spt:8289.0,7910.8,8286.0] || lesseq(z1,z2)* -> .
% 20.60/18.53  8293[23:Spt:8289.0,7910.0,7910.1,7910.2,7910.3,7910.4,7910.5,7910.6,7910.7] || equal(a(U),6)+ equal(b(U),5)** equal(a(V),7)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 20.60/18.53  8320[0:SpL:29.0,760.0] || equal(3,3) equal(b(U),2) equal(a(U),10) equal(a(V),5) equal(b(V),5)** equal(a(W),7)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  8321(e)[0:ArS:8320.0] || equal(b(U),2) equal(a(U),10) equal(a(V),5) equal(b(V),5)** equal(a(W),7)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)* lesseq(4,b(z1))*.
% 20.60/18.53  8687[24:Spt:7889.12] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  8690(e)[24:OCE:8687.0,33.0] ||  -> .
% 20.60/18.53  8695[24:Spt:8690.0,7889.12,8687.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  8696[24:Spt:8690.0,7889.0,7889.1,7889.2,7889.3,7889.4,7889.5,7889.6,7889.7,7889.8,7889.9,7889.10,7889.11] || equal(b(U),2)+ equal(a(U),10) equal(a(V),4) equal(b(V),5)** equal(a(W),7)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)*.
% 20.60/18.53  8700[24:SpL:34.0,8696.0] || equal(2,2) equal(a(z2),10) equal(a(U),4) equal(b(U),5)** equal(a(V),7)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  8701[24:ArS:8700.0] || equal(a(z2),10) equal(a(U),4) equal(b(U),5)** equal(a(V),7)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  8702[24:Rew:30.0,8701.0] || equal(10,10) equal(a(U),4) equal(b(U),5)** equal(a(V),7)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  8703[24:ArS:8702.0] || equal(a(U),4) equal(b(U),5)** equal(a(V),7)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  8704(e)[24:MRR:8703.3,14.0] || equal(a(U),4) equal(b(U),5)** equal(a(V),7)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  9098[25:Spt:8704.8] ||  -> lesseq(z1,z2)*.
% 20.60/18.53  9101(e)[25:OCE:9098.0,9.0] ||  -> .
% 20.60/18.53  9104[25:Spt:9101.0,8704.8,9098.0] || lesseq(z1,z2)* -> .
% 20.60/18.53  9105[25:Spt:9101.0,8704.0,8704.1,8704.2,8704.3,8704.4,8704.5,8704.6,8704.7] || equal(a(U),4)+ equal(b(U),5)** equal(a(V),7)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 20.60/18.53  9511[26:Spt:8321.12] ||  -> lesseq(4,b(z1))*.
% 20.60/18.53  9514(e)[26:OCE:9511.0,33.0] ||  -> .
% 20.60/18.53  9519[26:Spt:9514.0,8321.12,9511.0] || lesseq(4,b(z1))* -> .
% 20.60/18.53  9520[26:Spt:9514.0,8321.0,8321.1,8321.2,8321.3,8321.4,8321.5,8321.6,8321.7,8321.8,8321.9,8321.10,8321.11] || equal(b(U),2)+ equal(a(U),10) equal(a(V),5) equal(b(V),5)** equal(a(W),7)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U)*.
% 20.60/18.53  9524[26:SpL:34.0,9520.0] || equal(2,2) equal(a(z2),10) equal(a(U),5) equal(b(U),5)** equal(a(V),7)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  9525[26:ArS:9524.0] || equal(a(z2),10) equal(a(U),5) equal(b(U),5)** equal(a(V),7)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  9526[26:Rew:30.0,9525.0] || equal(10,10) equal(a(U),5) equal(b(U),5)** equal(a(V),7)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  9527[26:ArS:9526.0] || equal(a(U),5) equal(b(U),5)** equal(a(V),7)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  9528(e)[26:MRR:9527.3,14.0] || equal(a(U),5) equal(b(U),5)** equal(a(V),7)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2)*.
% 20.60/18.53  9936[27:Spt:9528.8] ||  -> lesseq(z1,z2)*.
% 20.60/18.53  9939(e)[27:OCE:9936.0,9.0] ||  -> .
% 20.60/18.53  9942[27:Spt:9939.0,9528.8,9936.0] || lesseq(z1,z2)* -> .
% 20.60/18.53  9943[27:Spt:9939.0,9528.0,9528.1,9528.2,9528.3,9528.4,9528.5,9528.6,9528.7] || equal(a(U),5)+ equal(b(U),5)** equal(a(V),7)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 20.60/18.53  9946[27:SpL:31.0,9943.0] || equal(5,5) equal(b(z3),5)** equal(a(U),7)** -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 20.60/18.53  9951[27:ArS:9946.0] || equal(b(z3),5)** equal(a(U),7)** -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 20.60/18.53  9952[27:Rew:35.0,9951.0] || equal(5,5) equal(a(U),7)** -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 20.60/18.53  9953[27:ArS:9952.0] || equal(a(U),7)** -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 20.60/18.53  9954[27:MRR:9953.1,9953.4,15.0,19.0] || equal(a(U),7)** -> equal(z1,U) equal(z2,U) equal(z3,U).
% 20.60/18.53  9964[27:SpL:32.0,9954.0] || equal(7,7) -> equal(z5,z1) equal(z5,z2) equal(z5,z3)**.
% 20.60/18.53  9968[27:ArS:9964.0] ||  -> equal(z5,z1) equal(z5,z2) equal(z5,z3)**.
% 20.60/18.53  9969(e)[27:MRR:9968.0,9968.1,9968.2,17.0,21.0,24.0] ||  -> .
% 20.60/18.53  
% 20.60/18.53  % SZS output end CNFRefutation for /tmp/SPASST_20492_n018.cluster.edu
% 20.60/18.54  
% 20.60/18.54  Formulae used in the proof : fof_z1_type fof_0
% 25.73/21.12  
% 25.73/21.12  SPASS+T ended
%------------------------------------------------------------------------------