TSTP Solution File: SWW087_1 by SPASS+T---2.2.22

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : SWW087_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n019.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 01:29:39 EDT 2022

% Result   : Theorem 26.36s 24.70s
% Output   : Refutation 26.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW087_1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13  % Command  : spasst-tptp-script %s %d
% 0.12/0.34  % Computer : n019.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 : Sun Jun  5 06:27:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.52  % Using integer theory
% 26.36/24.70  
% 26.36/24.70  
% 26.36/24.70  % SZS status Theorem for /tmp/SPASST_10924_n019.cluster.edu
% 26.36/24.70  
% 26.36/24.70  SPASS V 2.2.22  in combination with yices.
% 26.36/24.70  SPASS beiseite: Proof found by SPASS.
% 26.36/24.70  Problem: /tmp/SPASST_10924_n019.cluster.edu 
% 26.36/24.70  SPASS derived 1476 clauses, backtracked 846 clauses and kept 1723 clauses.
% 26.36/24.70  SPASS backtracked 35 times (0 times due to theory inconsistency).
% 26.36/24.70  SPASS allocated 13328 KBytes.
% 26.36/24.70  SPASS spent	0:00:03.96 on the problem.
% 26.36/24.70  		0:00:00.19 for the input.
% 26.36/24.70  		0:00:01.46 for the FLOTTER CNF translation.
% 26.36/24.70  		0:00:00.05 for inferences.
% 26.36/24.70  		0:00:00.04 for the backtracking.
% 26.36/24.70  		0:00:01.93 for the reduction.
% 26.36/24.70  		0:00:00.04 for interacting with the SMT procedure.
% 26.36/24.70  		
% 26.36/24.70  
% 26.36/24.70  % SZS output start CNFRefutation for /tmp/SPASST_10924_n019.cluster.edu
% 26.36/24.70  
% 26.36/24.70  % Here is a proof with depth 6, length 282 :
% 26.36/24.70  9[0:Inp] ||  -> less(z2,z1)*.
% 26.36/24.70  14[0:Inp] || equal(z2,z1)** -> .
% 26.36/24.70  15[0:Inp] || equal(z3,z1)** -> .
% 26.36/24.70  16[0:Inp] || equal(z4,z1)** -> .
% 26.36/24.70  19[0:Inp] || equal(z3,z2)** -> .
% 26.36/24.70  20[0:Inp] || equal(z4,z2)** -> .
% 26.36/24.70  23[0:Inp] || equal(z4,z3)** -> .
% 26.36/24.70  29[0:Inp] ||  -> equal(a(z1),12)**.
% 26.36/24.70  30[0:Inp] ||  -> equal(a(z2),10)**.
% 26.36/24.70  31[0:Inp] ||  -> equal(a(z3),5)**.
% 26.36/24.70  32[0:Inp] ||  -> equal(a(z4),2)**.
% 26.36/24.70  33[0:Inp] ||  -> less(b(z2),3)*.
% 26.36/24.70  34[0:Inp] ||  -> equal(b(z4),5)**.
% 26.36/24.70  55[0:Inp] || equal(b(U),2)** equal(a(U),8) equal(a(V),10) less(b(V),3)* less(V,W)* equal(a(W),12) -> equal(V,U)* equal(W,U)* equal(W,V).
% 26.36/24.70  125[0:Inp] || equal(a(U),12) equal(b(U),5)** equal(a(V),4)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  129[0:Inp] || equal(a(U),1) equal(b(U),5)** equal(a(V),4)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  134[0:Inp] || equal(a(U),2) equal(b(U),5)** equal(a(V),4)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  137[0:Inp] || equal(a(U),1) equal(b(U),5)** equal(a(V),5)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  144[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)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  148[0:Inp] || equal(a(U),2) equal(b(U),5)** equal(a(V),5)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  161[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)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  178[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)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  179[0:Inp] || equal(a(U),12)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  195[0:Inp] || equal(a(U),12)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  196[0:Inp] || equal(a(U),1)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  200[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)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  207[0:Inp] || equal(a(U),12)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  209[0:Inp] || equal(a(U),2)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  210[0:Inp] || equal(a(U),1)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  223[0:Inp] || equal(a(U),1)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  224[0:Inp] || equal(b(U),2)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  225[0:Inp] || equal(a(U),2)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  243[0:Inp] || equal(a(U),2)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  244[0:Inp] || equal(b(U),2)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  261[0:Inp] || equal(b(U),2)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  278[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)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 26.36/24.70  572[0:TOC:55.4] || equal(a(U),12)+ 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))*.
% 26.36/24.70  642[0:TOC:125.5] || equal(a(U),12)+ equal(a(V),10) equal(a(W),4)** 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))*.
% 26.36/24.70  646[0:TOC:129.5] || equal(a(U),12)+ equal(a(V),10) equal(a(W),4)** 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))*.
% 26.36/24.70  651[0:TOC:134.5] || equal(a(U),12)+ equal(a(V),10) equal(a(W),4)** 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))*.
% 26.36/24.70  654[0:TOC:137.5] || equal(a(U),12)+ equal(a(V),10) equal(a(W),5)** 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))*.
% 26.36/24.70  661[0:TOC:144.5] || equal(a(U),12)+ 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))*.
% 26.36/24.70  665[0:TOC:148.5] || equal(a(U),12)+ equal(a(V),10) equal(a(W),5)** 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))*.
% 26.36/24.70  678[0:TOC:161.5] || equal(a(U),12)+ 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))*.
% 26.36/24.70  695[0:TOC:178.5] || equal(a(U),12)+ 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))*.
% 26.36/24.70  696[0:TOC:179.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),12) equal(a(X),12)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 26.36/24.70  712[0:TOC:195.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),1) equal(a(X),12)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 26.36/24.70  713[0:TOC:196.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),12) equal(a(X),1)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 26.36/24.70  717[0:TOC:200.5] || equal(a(U),12)+ 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))*.
% 26.36/24.70  724[0:TOC:207.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),2) equal(a(X),12)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 26.36/24.70  726[0:TOC:209.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),12) equal(a(X),2)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 26.36/24.70  727[0:TOC:210.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),1) equal(a(X),1)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 26.36/24.70  740[0:TOC:223.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),2) equal(a(X),1)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 26.36/24.70  741[0:TOC:224.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),12) equal(b(X),2)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 26.36/24.70  742[0:TOC:225.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),1) equal(a(X),2)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 26.36/24.70  760[0:TOC:243.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),2) equal(a(X),2)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 26.36/24.70  761[0:TOC:244.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),1) equal(b(X),2)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 26.36/24.70  778[0:TOC:261.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),2) equal(b(X),2)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 26.36/24.70  795[0:TOC:278.5] || equal(a(U),12)+ 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))*.
% 26.36/24.70  1238[0:SpL:29.0,572.0] || equal(12,12) 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))*.
% 26.36/24.71  1239[0:ArS:1238.0] || 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))*.
% 26.36/24.71  1249[0:SpL:30.0,1239.0] || 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))*.
% 26.36/24.71  1252[0:ArS:1249.0] || equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 26.36/24.71  1253(e)[0:MRR:1252.2,14.0] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 26.36/24.71  1256[1:Spt:1253.4] ||  -> lesseq(z1,z2)*.
% 26.36/24.71  1259(e)[1:OCE:1256.0,9.0] ||  -> .
% 26.36/24.71  1262[1:Spt:1259.0,1253.4,1256.0] || lesseq(z1,z2)* -> .
% 26.36/24.71  1263(e)[1:Spt:1259.0,1253.0,1253.1,1253.2,1253.3,1253.5] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(3,b(z2))*.
% 26.36/24.71  1266[2:Spt:1263.4] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  1269(e)[2:OCE:1266.0,33.0] ||  -> .
% 26.36/24.71  1274[2:Spt:1269.0,1263.4,1266.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  1275[2:Spt:1269.0,1263.0,1263.1,1263.2,1263.3] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U).
% 26.36/24.71  1944[0:SpL:30.0,712.0] || equal(10,10) equal(a(U),8) equal(a(V),1) equal(a(W),12)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  1947(e)[0:ArS:1944.0] || equal(a(U),8) equal(a(V),1) equal(a(W),12)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  1950[3:Spt:1947.11] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  1953(e)[3:OCE:1950.0,33.0] ||  -> .
% 26.36/24.71  1958[3:Spt:1953.0,1947.11,1950.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  1959[3:Spt:1953.0,1947.0,1947.1,1947.2,1947.3,1947.4,1947.5,1947.6,1947.7,1947.8,1947.9,1947.10] || equal(a(U),8)+ equal(a(V),1) equal(a(W),12)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))*.
% 26.36/24.71  1994[0:SpL:30.0,713.0] || equal(10,10) equal(a(U),8) equal(a(V),12) equal(a(W),1)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  1997(e)[0:ArS:1994.0] || equal(a(U),8) equal(a(V),12) equal(a(W),1)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2010[0:SpL:30.0,724.0] || equal(10,10) equal(a(U),8) equal(a(V),2) equal(a(W),12)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2013(e)[0:ArS:2010.0] || equal(a(U),8) equal(a(V),2) equal(a(W),12)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2022[4:Spt:1997.11] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2025(e)[4:OCE:2022.0,33.0] ||  -> .
% 26.36/24.71  2030[4:Spt:2025.0,1997.11,2022.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2031[4:Spt:2025.0,1997.0,1997.1,1997.2,1997.3,1997.4,1997.5,1997.6,1997.7,1997.8,1997.9,1997.10] || equal(a(U),8)+ equal(a(V),12) equal(a(W),1)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))*.
% 26.36/24.71  2047[0:SpL:30.0,726.0] || equal(10,10) equal(a(U),8) equal(a(V),12) equal(a(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2050(e)[0:ArS:2047.0] || equal(a(U),8) equal(a(V),12) equal(a(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2064[0:SpL:30.0,740.0] || equal(10,10) equal(a(U),8) equal(a(V),2) equal(a(W),1)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2067(e)[0:ArS:2064.0] || equal(a(U),8) equal(a(V),2) equal(a(W),1)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2077[5:Spt:2013.11] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2080(e)[5:OCE:2077.0,33.0] ||  -> .
% 26.36/24.71  2085[5:Spt:2080.0,2013.11,2077.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2086[5:Spt:2080.0,2013.0,2013.1,2013.2,2013.3,2013.4,2013.5,2013.6,2013.7,2013.8,2013.9,2013.10] || equal(a(U),8)+ equal(a(V),2) equal(a(W),12)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))*.
% 26.36/24.71  2098[0:SpL:30.0,742.0] || equal(10,10) equal(a(U),8) equal(a(V),1) equal(a(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2101(e)[0:ArS:2098.0] || equal(a(U),8) equal(a(V),1) equal(a(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2118[0:SpL:30.0,741.0] || equal(10,10) equal(a(U),8) equal(a(V),12) equal(b(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2121(e)[0:ArS:2118.0] || equal(a(U),8) equal(a(V),12) equal(b(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2134[0:SpL:30.0,761.0] || equal(10,10) equal(a(U),8) equal(a(V),1) equal(b(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2137(e)[0:ArS:2134.0] || equal(a(U),8) equal(a(V),1) equal(b(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2140[6:Spt:2067.11] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2143(e)[6:OCE:2140.0,33.0] ||  -> .
% 26.36/24.71  2148[6:Spt:2143.0,2067.11,2140.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2149[6:Spt:2143.0,2067.0,2067.1,2067.2,2067.3,2067.4,2067.5,2067.6,2067.7,2067.8,2067.9,2067.10] || equal(a(U),8)+ equal(a(V),2) equal(a(W),1)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))*.
% 26.36/24.71  2171[0:SpL:30.0,696.0] || equal(10,10) equal(a(U),8) equal(a(V),12) equal(a(W),12)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2174(e)[0:ArS:2171.0] || equal(a(U),8) equal(a(V),12) equal(a(W),12)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2187[0:SpL:30.0,727.0] || equal(10,10) equal(a(U),8) equal(a(V),1) equal(a(W),1)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2190(e)[0:ArS:2187.0] || equal(a(U),8) equal(a(V),1) equal(a(W),1)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2195[7:Spt:2137.11] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2198(e)[7:OCE:2195.0,33.0] ||  -> .
% 26.36/24.71  2203[7:Spt:2198.0,2137.11,2195.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2204[7:Spt:2198.0,2137.0,2137.1,2137.2,2137.3,2137.4,2137.5,2137.6,2137.7,2137.8,2137.9,2137.10] || equal(a(U),8)+ equal(a(V),1) equal(b(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))*.
% 26.36/24.71  2222[0:SpL:30.0,760.0] || equal(10,10) equal(a(U),8) equal(a(V),2) equal(a(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2225(e)[0:ArS:2222.0] || equal(a(U),8) equal(a(V),2) equal(a(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2238[0:SpL:30.0,778.0] || equal(10,10) equal(a(U),8) equal(a(V),2) equal(b(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2241(e)[0:ArS:2238.0] || equal(a(U),8) equal(a(V),2) equal(b(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))* lesseq(3,b(z2))*.
% 26.36/24.71  2250[8:Spt:2190.11] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2253(e)[8:OCE:2250.0,33.0] ||  -> .
% 26.36/24.71  2258[8:Spt:2253.0,2190.11,2250.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2259[8:Spt:2253.0,2190.0,2190.1,2190.2,2190.3,2190.4,2190.5,2190.6,2190.7,2190.8,2190.9,2190.10] || equal(a(U),8)+ equal(a(V),1) equal(a(W),1)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))*.
% 26.36/24.71  2301[9:Spt:2241.11] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2304(e)[9:OCE:2301.0,33.0] ||  -> .
% 26.36/24.71  2309[9:Spt:2304.0,2241.11,2301.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2310[9:Spt:2304.0,2241.0,2241.1,2241.2,2241.3,2241.4,2241.5,2241.6,2241.7,2241.8,2241.9,2241.10] || equal(a(U),8)+ equal(a(V),2) equal(b(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))*.
% 26.36/24.71  2374[10:Spt:2174.11] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2377(e)[10:OCE:2374.0,33.0] ||  -> .
% 26.36/24.71  2382[10:Spt:2377.0,2174.11,2374.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2383[10:Spt:2377.0,2174.0,2174.1,2174.2,2174.3,2174.4,2174.5,2174.6,2174.7,2174.8,2174.9,2174.10] || equal(a(U),8)+ equal(a(V),12) equal(a(W),12)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))*.
% 26.36/24.71  2427[11:Spt:2225.11] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2430(e)[11:OCE:2427.0,33.0] ||  -> .
% 26.36/24.71  2435[11:Spt:2430.0,2225.11,2427.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2436[11:Spt:2430.0,2225.0,2225.1,2225.2,2225.3,2225.4,2225.5,2225.6,2225.7,2225.8,2225.9,2225.10] || equal(a(U),8)+ equal(a(V),2) equal(a(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))*.
% 26.36/24.71  2492[12:Spt:2050.11] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2495(e)[12:OCE:2492.0,33.0] ||  -> .
% 26.36/24.71  2500[12:Spt:2495.0,2050.11,2492.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2501[12:Spt:2495.0,2050.0,2050.1,2050.2,2050.3,2050.4,2050.5,2050.6,2050.7,2050.8,2050.9,2050.10] || equal(a(U),8)+ equal(a(V),12) equal(a(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))*.
% 26.36/24.71  2552[13:Spt:2121.11] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2555(e)[13:OCE:2552.0,33.0] ||  -> .
% 26.36/24.71  2560[13:Spt:2555.0,2121.11,2552.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2561[13:Spt:2555.0,2121.0,2121.1,2121.2,2121.3,2121.4,2121.5,2121.6,2121.7,2121.8,2121.9,2121.10] || equal(a(U),8)+ equal(a(V),12) equal(b(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))*.
% 26.36/24.71  2608[14:Spt:2101.11] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2611(e)[14:OCE:2608.0,33.0] ||  -> .
% 26.36/24.71  2616[14:Spt:2611.0,2101.11,2608.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2617[14:Spt:2611.0,2101.0,2101.1,2101.2,2101.3,2101.4,2101.5,2101.6,2101.7,2101.8,2101.9,2101.10] || equal(a(U),8)+ equal(a(V),1) equal(a(W),2)** -> equal(V,z2) equal(V,U)* equal(V,W)* equal(z2,W) equal(z2,U) equal(U,W)* lesseq(V,z2)* lesseq(4,b(U))*.
% 26.36/24.71  2718[0:SpL:29.0,646.0] || equal(12,12) equal(a(U),10) equal(a(V),4)** 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))*.
% 26.36/24.71  2719[0:ArS:2718.0] || equal(a(U),10)+ equal(a(V),4)** 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))*.
% 26.36/24.71  2725[0:SpL:30.0,2719.0] || equal(10,10) equal(a(U),4)** equal(b(V),5)** equal(a(V),1) -> 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))*.
% 26.36/24.71  2728[0:ArS:2725.0] || equal(a(U),4)** equal(b(V),5)** equal(a(V),1) -> 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))*.
% 26.36/24.71  2729(e)[0:MRR:2728.3,14.0] || equal(a(U),4)** equal(b(V),5)** equal(a(V),1) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 26.36/24.71  2732[15:Spt:2729.8] ||  -> lesseq(z1,z2)*.
% 26.36/24.71  2735(e)[15:OCE:2732.0,9.0] ||  -> .
% 26.36/24.71  2738[15:Spt:2735.0,2729.8,2732.0] || lesseq(z1,z2)* -> .
% 26.36/24.71  2739(e)[15:Spt:2735.0,2729.0,2729.1,2729.2,2729.3,2729.4,2729.5,2729.6,2729.7,2729.9] || equal(a(U),4)** equal(b(V),5)** equal(a(V),1) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 26.36/24.71  2741[16:Spt:2739.8] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2744(e)[16:OCE:2741.0,33.0] ||  -> .
% 26.36/24.71  2749[16:Spt:2744.0,2739.8,2741.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2750[16:Spt:2744.0,2739.0,2739.1,2739.2,2739.3,2739.4,2739.5,2739.6,2739.7] || equal(a(U),4)**+ equal(b(V),5)** equal(a(V),1) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 26.36/24.71  2763[0:SpL:29.0,651.0] || equal(12,12) equal(a(U),10) equal(a(V),4)** 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))*.
% 26.36/24.71  2764[0:ArS:2763.0] || equal(a(U),10)+ equal(a(V),4)** 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))*.
% 26.36/24.71  2806[0:SpL:30.0,2764.0] || equal(10,10) equal(a(U),4)** equal(b(V),5)** equal(a(V),2) -> 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))*.
% 26.36/24.71  2809[0:ArS:2806.0] || equal(a(U),4)** equal(b(V),5)** equal(a(V),2) -> 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))*.
% 26.36/24.71  2810(e)[0:MRR:2809.3,14.0] || equal(a(U),4)** equal(b(V),5)** equal(a(V),2) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 26.36/24.71  2813[17:Spt:2810.8] ||  -> lesseq(z1,z2)*.
% 26.36/24.71  2816(e)[17:OCE:2813.0,9.0] ||  -> .
% 26.36/24.71  2819[17:Spt:2816.0,2810.8,2813.0] || lesseq(z1,z2)* -> .
% 26.36/24.71  2820(e)[17:Spt:2816.0,2810.0,2810.1,2810.2,2810.3,2810.4,2810.5,2810.6,2810.7,2810.9] || equal(a(U),4)** equal(b(V),5)** equal(a(V),2) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 26.36/24.71  2822[18:Spt:2820.8] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2825(e)[18:OCE:2822.0,33.0] ||  -> .
% 26.36/24.71  2830[18:Spt:2825.0,2820.8,2822.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2831[18:Spt:2825.0,2820.0,2820.1,2820.2,2820.3,2820.4,2820.5,2820.6,2820.7] || equal(a(U),4)**+ equal(b(V),5)** equal(a(V),2) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 26.36/24.71  2880[0:SpL:29.0,678.0] || equal(12,12) 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))*.
% 26.36/24.71  2881[0:ArS:2880.0] || 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))*.
% 26.36/24.71  2887[0:SpL:30.0,2881.0] || equal(10,10) equal(a(U),6)** equal(b(V),5)** equal(a(V),1) -> 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))*.
% 26.36/24.71  2890[0:ArS:2887.0] || equal(a(U),6)** equal(b(V),5)** equal(a(V),1) -> 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))*.
% 26.36/24.71  2891(e)[0:MRR:2890.3,14.0] || equal(a(U),6)** equal(b(V),5)** equal(a(V),1) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 26.36/24.71  2902[19:Spt:2891.8] ||  -> lesseq(z1,z2)*.
% 26.36/24.71  2905(e)[19:OCE:2902.0,9.0] ||  -> .
% 26.36/24.71  2908[19:Spt:2905.0,2891.8,2902.0] || lesseq(z1,z2)* -> .
% 26.36/24.71  2909(e)[19:Spt:2905.0,2891.0,2891.1,2891.2,2891.3,2891.4,2891.5,2891.6,2891.7,2891.9] || equal(a(U),6)** equal(b(V),5)** equal(a(V),1) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 26.36/24.71  2911[20:Spt:2909.8] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2914(e)[20:OCE:2911.0,33.0] ||  -> .
% 26.36/24.71  2919[20:Spt:2914.0,2909.8,2911.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2920[20:Spt:2914.0,2909.0,2909.1,2909.2,2909.3,2909.4,2909.5,2909.6,2909.7] || equal(a(U),6)**+ equal(b(V),5)** equal(a(V),1) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 26.36/24.71  2943[0:SpL:29.0,695.0] || equal(12,12) 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))*.
% 26.36/24.71  2944[0:ArS:2943.0] || 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))*.
% 26.36/24.71  2968[0:SpL:30.0,2944.0] || equal(10,10) equal(a(U),6)** equal(b(V),5)** equal(a(V),2) -> 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))*.
% 26.36/24.71  2971[0:ArS:2968.0] || equal(a(U),6)** equal(b(V),5)** equal(a(V),2) -> 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))*.
% 26.36/24.71  2972(e)[0:MRR:2971.3,14.0] || equal(a(U),6)** equal(b(V),5)** equal(a(V),2) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 26.36/24.71  2975[21:Spt:2972.8] ||  -> lesseq(z1,z2)*.
% 26.36/24.71  2978(e)[21:OCE:2975.0,9.0] ||  -> .
% 26.36/24.71  2981[21:Spt:2978.0,2972.8,2975.0] || lesseq(z1,z2)* -> .
% 26.36/24.71  2982(e)[21:Spt:2978.0,2972.0,2972.1,2972.2,2972.3,2972.4,2972.5,2972.6,2972.7,2972.9] || equal(a(U),6)** equal(b(V),5)** equal(a(V),2) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 26.36/24.71  2984[22:Spt:2982.8] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  2987(e)[22:OCE:2984.0,33.0] ||  -> .
% 26.36/24.71  2992[22:Spt:2987.0,2982.8,2984.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  2993[22:Spt:2987.0,2982.0,2982.1,2982.2,2982.3,2982.4,2982.5,2982.6,2982.7] || equal(a(U),6)**+ equal(b(V),5)** equal(a(V),2) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 26.36/24.71  3027[0:SpL:29.0,717.0] || equal(12,12) 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))*.
% 26.36/24.71  3028[0:ArS:3027.0] || 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))*.
% 26.36/24.71  3041[0:SpL:30.0,3028.0] || 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))*.
% 26.36/24.71  3044[0:ArS:3041.0] || 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))*.
% 26.36/24.71  3045(e)[0:MRR:3044.3,14.0] || 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) lesseq(3,b(z2))*.
% 26.36/24.71  3052[23:Spt:3045.8] ||  -> lesseq(z1,z2)*.
% 26.36/24.71  3055(e)[23:OCE:3052.0,9.0] ||  -> .
% 26.36/24.71  3058[23:Spt:3055.0,3045.8,3052.0] || lesseq(z1,z2)* -> .
% 26.36/24.71  3059(e)[23:Spt:3055.0,3045.0,3045.1,3045.2,3045.3,3045.4,3045.5,3045.6,3045.7,3045.9] || 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(3,b(z2))*.
% 26.36/24.71  3061[24:Spt:3059.8] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  3064(e)[24:OCE:3061.0,33.0] ||  -> .
% 26.36/24.71  3069[24:Spt:3064.0,3059.8,3061.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  3070[24:Spt:3064.0,3059.0,3059.1,3059.2,3059.3,3059.4,3059.5,3059.6,3059.7] || 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)*.
% 26.36/24.71  3219[0:SpL:29.0,795.0] || equal(12,12) 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))*.
% 26.36/24.71  3220[0:ArS:3219.0] || 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))*.
% 26.36/24.71  3230[0:SpL:30.0,3220.0] || 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))*.
% 26.36/24.71  3233[0:ArS:3230.0] || 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))*.
% 26.36/24.71  3234(e)[0:MRR:3233.3,14.0] || 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) lesseq(3,b(z2))*.
% 26.36/24.71  3237[25:Spt:3234.8] ||  -> lesseq(z1,z2)*.
% 26.36/24.71  3240(e)[25:OCE:3237.0,9.0] ||  -> .
% 26.36/24.71  3243[25:Spt:3240.0,3234.8,3237.0] || lesseq(z1,z2)* -> .
% 26.36/24.71  3244(e)[25:Spt:3240.0,3234.0,3234.1,3234.2,3234.3,3234.4,3234.5,3234.6,3234.7,3234.9] || 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(3,b(z2))*.
% 26.36/24.71  3246[26:Spt:3244.8] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  3249(e)[26:OCE:3246.0,33.0] ||  -> .
% 26.36/24.71  3254[26:Spt:3249.0,3244.8,3246.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  3255[26:Spt:3249.0,3244.0,3244.1,3244.2,3244.3,3244.4,3244.5,3244.6,3244.7] || 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)*.
% 26.36/24.71  3500[0:SpL:29.0,642.0] || equal(12,12) equal(a(U),10) equal(a(V),4)** 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))*.
% 26.36/24.71  3501[0:ArS:3500.0] || equal(a(U),10)+ equal(a(V),4)** 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))*.
% 26.36/24.71  3507[0:SpL:30.0,3501.0] || equal(10,10) equal(a(U),4)** equal(b(V),5)** equal(a(V),12) -> 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))*.
% 26.36/24.71  3510[0:ArS:3507.0] || equal(a(U),4)** equal(b(V),5)** equal(a(V),12) -> 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))*.
% 26.36/24.71  3511(e)[0:MRR:3510.3,14.0] || equal(a(U),4)** equal(b(V),5)** equal(a(V),12) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 26.36/24.71  3522[27:Spt:3511.8] ||  -> lesseq(z1,z2)*.
% 26.36/24.71  3525(e)[27:OCE:3522.0,9.0] ||  -> .
% 26.36/24.71  3528[27:Spt:3525.0,3511.8,3522.0] || lesseq(z1,z2)* -> .
% 26.36/24.71  3529(e)[27:Spt:3525.0,3511.0,3511.1,3511.2,3511.3,3511.4,3511.5,3511.6,3511.7,3511.9] || equal(a(U),4)** equal(b(V),5)** equal(a(V),12) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 26.36/24.71  3535[28:Spt:3529.8] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  3538(e)[28:OCE:3535.0,33.0] ||  -> .
% 26.36/24.71  3543[28:Spt:3538.0,3529.8,3535.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  3544[28:Spt:3538.0,3529.0,3529.1,3529.2,3529.3,3529.4,3529.5,3529.6,3529.7] || equal(a(U),4)**+ equal(b(V),5)** equal(a(V),12) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 26.36/24.71  3567[0:SpL:29.0,654.0] || equal(12,12) equal(a(U),10) equal(a(V),5)** 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))*.
% 26.36/24.71  3568[0:ArS:3567.0] || equal(a(U),10)+ equal(a(V),5)** 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))*.
% 26.36/24.71  3592[0:SpL:30.0,3568.0] || equal(10,10) equal(a(U),5)** equal(b(V),5)** equal(a(V),1) -> 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))*.
% 26.36/24.71  3595[0:ArS:3592.0] || equal(a(U),5)** equal(b(V),5)** equal(a(V),1) -> 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))*.
% 26.36/24.71  3596(e)[0:MRR:3595.3,14.0] || equal(a(U),5)** equal(b(V),5)** equal(a(V),1) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 26.36/24.71  3599[29:Spt:3596.8] ||  -> lesseq(z1,z2)*.
% 26.36/24.71  3602(e)[29:OCE:3599.0,9.0] ||  -> .
% 26.36/24.71  3605[29:Spt:3602.0,3596.8,3599.0] || lesseq(z1,z2)* -> .
% 26.36/24.71  3606(e)[29:Spt:3602.0,3596.0,3596.1,3596.2,3596.3,3596.4,3596.5,3596.6,3596.7,3596.9] || equal(a(U),5)** equal(b(V),5)** equal(a(V),1) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 26.36/24.71  3608[30:Spt:3606.8] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  3611(e)[30:OCE:3608.0,33.0] ||  -> .
% 26.36/24.71  3616[30:Spt:3611.0,3606.8,3608.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  3617[30:Spt:3611.0,3606.0,3606.1,3606.2,3606.3,3606.4,3606.5,3606.6,3606.7] || equal(a(U),5)**+ equal(b(V),5)** equal(a(V),1) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 26.36/24.71  3635[0:SpL:29.0,661.0] || equal(12,12) 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))*.
% 26.36/24.71  3636[0:ArS:3635.0] || 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))*.
% 26.36/24.71  3657[0:SpL:29.0,665.0] || equal(12,12) equal(a(U),10) equal(a(V),5)** 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))*.
% 26.36/24.71  3658[0:ArS:3657.0] || equal(a(U),10)+ equal(a(V),5)** 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))*.
% 26.36/24.71  3680[0:SpL:30.0,3636.0] || equal(10,10) equal(a(U),6)** equal(b(V),5)** equal(a(V),12) -> 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))*.
% 26.36/24.71  3683[0:ArS:3680.0] || equal(a(U),6)** equal(b(V),5)** equal(a(V),12) -> 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))*.
% 26.36/24.71  3684(e)[0:MRR:3683.3,14.0] || equal(a(U),6)** equal(b(V),5)** equal(a(V),12) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 26.36/24.71  3687[31:Spt:3684.8] ||  -> lesseq(z1,z2)*.
% 26.36/24.71  3690(e)[31:OCE:3687.0,9.0] ||  -> .
% 26.36/24.71  3693[31:Spt:3690.0,3684.8,3687.0] || lesseq(z1,z2)* -> .
% 26.36/24.71  3694(e)[31:Spt:3690.0,3684.0,3684.1,3684.2,3684.3,3684.4,3684.5,3684.6,3684.7,3684.9] || equal(a(U),6)** equal(b(V),5)** equal(a(V),12) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 26.36/24.71  3696[32:Spt:3694.8] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  3699(e)[32:OCE:3696.0,33.0] ||  -> .
% 26.36/24.71  3704[32:Spt:3699.0,3694.8,3696.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  3705[32:Spt:3699.0,3694.0,3694.1,3694.2,3694.3,3694.4,3694.5,3694.6,3694.7] || equal(a(U),6)**+ equal(b(V),5)** equal(a(V),12) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 26.36/24.71  3753[0:SpL:30.0,3658.0] || equal(10,10) equal(a(U),5)** equal(b(V),5)** equal(a(V),2) -> 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))*.
% 26.36/24.71  3756[0:ArS:3753.0] || equal(a(U),5)** equal(b(V),5)** equal(a(V),2) -> 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))*.
% 26.36/24.71  3757(e)[0:MRR:3756.3,14.0] || equal(a(U),5)** equal(b(V),5)** equal(a(V),2) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 26.36/24.71  3760[33:Spt:3757.8] ||  -> lesseq(z1,z2)*.
% 26.36/24.71  3763(e)[33:OCE:3760.0,9.0] ||  -> .
% 26.36/24.71  3766[33:Spt:3763.0,3757.8,3760.0] || lesseq(z1,z2)* -> .
% 26.36/24.71  3767(e)[33:Spt:3763.0,3757.0,3757.1,3757.2,3757.3,3757.4,3757.5,3757.6,3757.7,3757.9] || equal(a(U),5)** equal(b(V),5)** equal(a(V),2) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 26.36/24.71  3769[34:Spt:3767.8] ||  -> lesseq(3,b(z2))*.
% 26.36/24.71  3772(e)[34:OCE:3769.0,33.0] ||  -> .
% 26.36/24.71  3777[34:Spt:3772.0,3767.8,3769.0] || lesseq(3,b(z2))* -> .
% 26.36/24.71  3778[34:Spt:3772.0,3767.0,3767.1,3767.2,3767.3,3767.4,3767.5,3767.6,3767.7] || equal(a(U),5)**+ equal(b(V),5)** equal(a(V),2) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 26.36/24.71  3781[34:SpL:31.0,3778.0] || equal(5,5) equal(b(U),5)** equal(a(U),2) -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 26.36/24.71  3786[34:ArS:3781.0] || equal(b(U),5)** equal(a(U),2) -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 26.36/24.71  3787[34:MRR:3786.2,3786.5,15.0,19.0] || equal(b(U),5)** equal(a(U),2) -> equal(z1,U) equal(z2,U) equal(z3,U).
% 26.36/24.71  3818[34:SpL:34.0,3787.0] || equal(5,5) equal(a(z4),2)** -> equal(z4,z1) equal(z4,z2) equal(z4,z3).
% 26.36/24.71  3820[34:ArS:3818.0] || equal(a(z4),2)** -> equal(z4,z1) equal(z4,z2) equal(z4,z3).
% 26.36/24.71  3821[34:Rew:32.0,3820.0] || equal(2,2) -> equal(z4,z1) equal(z4,z2) equal(z4,z3)**.
% 26.36/24.71  3822[34:ArS:3821.0] ||  -> equal(z4,z1) equal(z4,z2) equal(z4,z3)**.
% 26.36/24.71  3823(e)[34:MRR:3822.0,3822.1,3822.2,16.0,20.0,23.0] ||  -> .
% 26.36/24.71  
% 26.36/24.71  % SZS output end CNFRefutation for /tmp/SPASST_10924_n019.cluster.edu
% 26.36/24.71  
% 26.36/24.71  Formulae used in the proof : fof_z1_type fof_0
% 26.55/24.81  
% 26.55/24.81  SPASS+T ended
%------------------------------------------------------------------------------