TSTP Solution File: SWW008_1 by SPASS+T---2.2.22

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : SWW008_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 01:29:27 EDT 2022

% Result   : Theorem 13.77s 12.81s
% Output   : Refutation 13.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW008_1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.12  % Command  : spasst-tptp-script %s %d
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun  6 10:13:19 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.49  % Using integer theory
% 13.77/12.81  
% 13.77/12.81  
% 13.77/12.81  % SZS status Theorem for /tmp/SPASST_6333_n018.cluster.edu
% 13.77/12.81  
% 13.77/12.81  SPASS V 2.2.22  in combination with yices.
% 13.77/12.81  SPASS beiseite: Proof found by SPASS.
% 13.77/12.81  Problem: /tmp/SPASST_6333_n018.cluster.edu 
% 13.77/12.81  SPASS derived 999 clauses, backtracked 370 clauses and kept 930 clauses.
% 13.77/12.81  SPASS backtracked 27 times (0 times due to theory inconsistency).
% 13.77/12.81  SPASS allocated 11002 KBytes.
% 13.77/12.81  SPASS spent	0:00:01.82 on the problem.
% 13.77/12.81  		0:00:00.12 for the input.
% 13.77/12.81  		0:00:00.68 for the FLOTTER CNF translation.
% 13.77/12.81  		0:00:00.04 for inferences.
% 13.77/12.81  		0:00:00.00 for the backtracking.
% 13.77/12.81  		0:00:00.83 for the reduction.
% 13.77/12.81  		0:00:00.03 for interacting with the SMT procedure.
% 13.77/12.81  		
% 13.77/12.81  
% 13.77/12.81  % SZS output start CNFRefutation for /tmp/SPASST_6333_n018.cluster.edu
% 13.77/12.81  
% 13.77/12.81  % Here is a proof with depth 6, length 222 :
% 13.77/12.81  8[0:Inp] ||  -> less(z2,z1)*.
% 13.77/12.81  13[0:Inp] || equal(z2,z1)** -> .
% 13.77/12.81  14[0:Inp] || equal(z3,z1)** -> .
% 13.77/12.81  15[0:Inp] || equal(z4,z1)** -> .
% 13.77/12.81  17[0:Inp] || equal(z3,z2)** -> .
% 13.77/12.81  18[0:Inp] || equal(z4,z2)** -> .
% 13.77/12.81  20[0:Inp] || equal(z4,z3)** -> .
% 13.77/12.81  23[0:Inp] ||  -> equal(a(z1),12)**.
% 13.77/12.81  24[0:Inp] ||  -> equal(a(z2),10)**.
% 13.77/12.81  25[0:Inp] ||  -> equal(a(z3),5)**.
% 13.77/12.81  26[0:Inp] ||  -> equal(a(z4),1)**.
% 13.77/12.81  28[0:Inp] ||  -> less(b(z2),3)*.
% 13.77/12.81  29[0:Inp] ||  -> equal(b(z4),5)**.
% 13.77/12.81  49[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).
% 13.77/12.81  120[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).
% 13.77/12.81  123[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).
% 13.77/12.81  147[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).
% 13.77/12.81  164[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).
% 13.77/12.81  165[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).
% 13.77/12.81  181[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).
% 13.77/12.81  182[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).
% 13.77/12.81  186[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).
% 13.77/12.81  193[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).
% 13.77/12.81  195[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).
% 13.77/12.81  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),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 13.77/12.81  209[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).
% 13.77/12.81  210[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).
% 13.77/12.81  211[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).
% 13.77/12.81  229[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).
% 13.77/12.81  230[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).
% 13.77/12.81  247[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).
% 13.77/12.81  264[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).
% 13.77/12.81  433[0:TOC:49.4] || 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))*.
% 13.77/12.81  504[0:TOC:120.5] || 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))*.
% 13.77/12.81  507[0:TOC:123.5] || 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))*.
% 13.77/12.81  531[0:TOC:147.5] || 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))*.
% 13.77/12.81  548[0:TOC:164.5] || 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))*.
% 13.77/12.81  549[0:TOC:165.5] || 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))*.
% 13.77/12.81  565[0:TOC:181.5] || 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))*.
% 13.77/12.81  566[0:TOC:182.5] || 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))*.
% 13.77/12.81  570[0:TOC:186.5] || 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))*.
% 13.77/12.81  577[0:TOC:193.5] || 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))*.
% 13.77/12.81  579[0:TOC:195.5] || 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))*.
% 13.77/12.81  580[0:TOC:196.5] || 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))*.
% 13.77/12.81  593[0:TOC:209.5] || 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))*.
% 13.77/12.81  594[0:TOC:210.5] || 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))*.
% 13.77/12.81  595[0:TOC:211.5] || 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))*.
% 13.77/12.81  613[0:TOC:229.5] || 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))*.
% 13.77/12.81  614[0:TOC:230.5] || 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))*.
% 13.77/12.81  631[0:TOC:247.5] || 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))*.
% 13.77/12.81  648[0:TOC:264.5] || 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))*.
% 13.77/12.81  963[0:SpL:23.0,433.0] || 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))*.
% 13.77/12.81  964[0:ArS:963.0] || 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))*.
% 13.77/12.81  970[0:SpL:24.0,964.0] || 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))*.
% 13.77/12.81  973[0:ArS:970.0] || equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 13.77/12.81  974(e)[0:MRR:973.2,13.0] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 13.77/12.81  977[1:Spt:974.4] ||  -> lesseq(z1,z2)*.
% 13.77/12.81  980(e)[1:OCE:977.0,8.0] ||  -> .
% 13.77/12.81  983[1:Spt:980.0,974.4,977.0] || lesseq(z1,z2)* -> .
% 13.77/12.81  984(e)[1:Spt:980.0,974.0,974.1,974.2,974.3,974.5] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(3,b(z2))*.
% 13.77/12.81  986[2:Spt:984.4] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  989(e)[2:OCE:986.0,28.0] ||  -> .
% 13.77/12.81  994[2:Spt:989.0,984.4,986.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  995[2:Spt:989.0,984.0,984.1,984.2,984.3] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U).
% 13.77/12.81  1637[0:SpL:24.0,565.0] || 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))*.
% 13.77/12.81  1640(e)[0:ArS:1637.0] || 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))*.
% 13.77/12.81  1643[3:Spt:1640.11] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  1646(e)[3:OCE:1643.0,28.0] ||  -> .
% 13.77/12.81  1651[3:Spt:1646.0,1640.11,1643.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  1652[3:Spt:1646.0,1640.0,1640.1,1640.2,1640.3,1640.4,1640.5,1640.6,1640.7,1640.8,1640.9,1640.10] || 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))*.
% 13.77/12.81  1673[0:SpL:24.0,566.0] || 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))*.
% 13.77/12.81  1676(e)[0:ArS:1673.0] || 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))*.
% 13.77/12.81  1681[4:Spt:1676.11] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  1684(e)[4:OCE:1681.0,28.0] ||  -> .
% 13.77/12.81  1689[4:Spt:1684.0,1676.11,1681.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  1690[4:Spt:1684.0,1676.0,1676.1,1676.2,1676.3,1676.4,1676.5,1676.6,1676.7,1676.8,1676.9,1676.10] || 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))*.
% 13.77/12.81  1703[0:SpL:24.0,577.0] || 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))*.
% 13.77/12.81  1706(e)[0:ArS:1703.0] || 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))*.
% 13.77/12.81  1710[5:Spt:1706.11] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  1713(e)[5:OCE:1710.0,28.0] ||  -> .
% 13.77/12.81  1718[5:Spt:1713.0,1706.11,1710.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  1719[5:Spt:1713.0,1706.0,1706.1,1706.2,1706.3,1706.4,1706.5,1706.6,1706.7,1706.8,1706.9,1706.10] || 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))*.
% 13.77/12.81  1733[0:SpL:24.0,579.0] || 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))*.
% 13.77/12.81  1736(e)[0:ArS:1733.0] || 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))*.
% 13.77/12.81  1739[6:Spt:1736.11] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  1742(e)[6:OCE:1739.0,28.0] ||  -> .
% 13.77/12.81  1747[6:Spt:1742.0,1736.11,1739.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  1748[6:Spt:1742.0,1736.0,1736.1,1736.2,1736.3,1736.4,1736.5,1736.6,1736.7,1736.8,1736.9,1736.10] || 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))*.
% 13.77/12.81  1762[0:SpL:24.0,593.0] || 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))*.
% 13.77/12.81  1765(e)[0:ArS:1762.0] || 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))*.
% 13.77/12.81  1770[0:SpL:24.0,595.0] || 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))*.
% 13.77/12.81  1773(e)[0:ArS:1770.0] || 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))*.
% 13.77/12.81  1776[7:Spt:1765.11] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  1779(e)[7:OCE:1776.0,28.0] ||  -> .
% 13.77/12.81  1784[7:Spt:1779.0,1765.11,1776.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  1785[7:Spt:1779.0,1765.0,1765.1,1765.2,1765.3,1765.4,1765.5,1765.6,1765.7,1765.8,1765.9,1765.10] || 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))*.
% 13.77/12.81  1797[8:Spt:1773.11] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  1800(e)[8:OCE:1797.0,28.0] ||  -> .
% 13.77/12.81  1805[8:Spt:1800.0,1773.11,1797.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  1806[8:Spt:1800.0,1773.0,1773.1,1773.2,1773.3,1773.4,1773.5,1773.6,1773.7,1773.8,1773.9,1773.10] || 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))*.
% 13.77/12.81  1818[0:SpL:24.0,594.0] || 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))*.
% 13.77/12.81  1821(e)[0:ArS:1818.0] || 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))*.
% 13.77/12.81  1826[9:Spt:1821.11] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  1829(e)[9:OCE:1826.0,28.0] ||  -> .
% 13.77/12.81  1834[9:Spt:1829.0,1821.11,1826.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  1835[9:Spt:1829.0,1821.0,1821.1,1821.2,1821.3,1821.4,1821.5,1821.6,1821.7,1821.8,1821.9,1821.10] || 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))*.
% 13.77/12.81  1848[0:SpL:24.0,614.0] || 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))*.
% 13.77/12.81  1851(e)[0:ArS:1848.0] || 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))*.
% 13.77/12.81  1855[10:Spt:1851.11] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  1858(e)[10:OCE:1855.0,28.0] ||  -> .
% 13.77/12.81  1863[10:Spt:1858.0,1851.11,1855.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  1864[10:Spt:1858.0,1851.0,1851.1,1851.2,1851.3,1851.4,1851.5,1851.6,1851.7,1851.8,1851.9,1851.10] || 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))*.
% 13.77/12.81  1878[0:SpL:24.0,549.0] || 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))*.
% 13.77/12.81  1881(e)[0:ArS:1878.0] || 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))*.
% 13.77/12.81  1884[11:Spt:1881.11] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  1887(e)[11:OCE:1884.0,28.0] ||  -> .
% 13.77/12.81  1892[11:Spt:1887.0,1881.11,1884.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  1893[11:Spt:1887.0,1881.0,1881.1,1881.2,1881.3,1881.4,1881.5,1881.6,1881.7,1881.8,1881.9,1881.10] || 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))*.
% 13.77/12.81  1907[0:SpL:24.0,580.0] || 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))*.
% 13.77/12.81  1910(e)[0:ArS:1907.0] || 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))*.
% 13.77/12.81  1915[0:SpL:24.0,613.0] || 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))*.
% 13.77/12.81  1918(e)[0:ArS:1915.0] || 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))*.
% 13.77/12.81  1921[12:Spt:1910.11] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  1924(e)[12:OCE:1921.0,28.0] ||  -> .
% 13.77/12.81  1929[12:Spt:1924.0,1910.11,1921.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  1930[12:Spt:1924.0,1910.0,1910.1,1910.2,1910.3,1910.4,1910.5,1910.6,1910.7,1910.8,1910.9,1910.10] || 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))*.
% 13.77/12.81  1942[13:Spt:1918.11] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  1945(e)[13:OCE:1942.0,28.0] ||  -> .
% 13.77/12.81  1950[13:Spt:1945.0,1918.11,1942.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  1951[13:Spt:1945.0,1918.0,1918.1,1918.2,1918.3,1918.4,1918.5,1918.6,1918.7,1918.8,1918.9,1918.10] || 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))*.
% 13.77/12.81  1963[0:SpL:24.0,631.0] || 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))*.
% 13.77/12.81  1966(e)[0:ArS:1963.0] || 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))*.
% 13.77/12.81  1971[14:Spt:1966.11] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  1974(e)[14:OCE:1971.0,28.0] ||  -> .
% 13.77/12.81  1979[14:Spt:1974.0,1966.11,1971.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  1980[14:Spt:1974.0,1966.0,1966.1,1966.2,1966.3,1966.4,1966.5,1966.6,1966.7,1966.8,1966.9,1966.10] || 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))*.
% 13.77/12.81  2157[0:SpL:23.0,504.0] || 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))*.
% 13.77/12.81  2158[0:ArS:2157.0] || 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))*.
% 13.77/12.81  2164[0:SpL:24.0,2158.0] || 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))*.
% 13.77/12.81  2167[0:ArS:2164.0] || 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))*.
% 13.77/12.81  2168(e)[0:MRR:2167.3,13.0] || 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))*.
% 13.77/12.81  2179[15:Spt:2168.8] ||  -> lesseq(z1,z2)*.
% 13.77/12.81  2182(e)[15:OCE:2179.0,8.0] ||  -> .
% 13.77/12.81  2185[15:Spt:2182.0,2168.8,2179.0] || lesseq(z1,z2)* -> .
% 13.77/12.81  2186(e)[15:Spt:2182.0,2168.0,2168.1,2168.2,2168.3,2168.4,2168.5,2168.6,2168.7,2168.9] || 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))*.
% 13.77/12.81  2191[16:Spt:2186.8] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  2194(e)[16:OCE:2191.0,28.0] ||  -> .
% 13.77/12.81  2199[16:Spt:2194.0,2186.8,2191.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  2200[16:Spt:2194.0,2186.0,2186.1,2186.2,2186.3,2186.4,2186.5,2186.6,2186.7] || 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)*.
% 13.77/12.81  2239[0:SpL:23.0,531.0] || 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))*.
% 13.77/12.81  2240[0:ArS:2239.0] || 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))*.
% 13.77/12.81  2246[0:SpL:24.0,2240.0] || 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))*.
% 13.77/12.81  2249[0:ArS:2246.0] || 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))*.
% 13.77/12.81  2250(e)[0:MRR:2249.3,13.0] || 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))*.
% 13.77/12.81  2253[17:Spt:2250.8] ||  -> lesseq(z1,z2)*.
% 13.77/12.81  2256(e)[17:OCE:2253.0,8.0] ||  -> .
% 13.77/12.81  2259[17:Spt:2256.0,2250.8,2253.0] || lesseq(z1,z2)* -> .
% 13.77/12.81  2260(e)[17:Spt:2256.0,2250.0,2250.1,2250.2,2250.3,2250.4,2250.5,2250.6,2250.7,2250.9] || 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))*.
% 13.77/12.81  2262[18:Spt:2260.8] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  2265(e)[18:OCE:2262.0,28.0] ||  -> .
% 13.77/12.81  2270[18:Spt:2265.0,2260.8,2262.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  2271[18:Spt:2265.0,2260.0,2260.1,2260.2,2260.3,2260.4,2260.5,2260.6,2260.7] || 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)*.
% 13.77/12.81  2294[0:SpL:23.0,548.0] || 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))*.
% 13.77/12.81  2295[0:ArS:2294.0] || 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))*.
% 13.77/12.81  2301[0:SpL:24.0,2295.0] || 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))*.
% 13.77/12.81  2304[0:ArS:2301.0] || 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))*.
% 13.77/12.81  2305(e)[0:MRR:2304.3,13.0] || 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))*.
% 13.77/12.81  2316[19:Spt:2305.8] ||  -> lesseq(z1,z2)*.
% 13.77/12.81  2319(e)[19:OCE:2316.0,8.0] ||  -> .
% 13.77/12.81  2322[19:Spt:2319.0,2305.8,2316.0] || lesseq(z1,z2)* -> .
% 13.77/12.81  2323(e)[19:Spt:2319.0,2305.0,2305.1,2305.2,2305.3,2305.4,2305.5,2305.6,2305.7,2305.9] || 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))*.
% 13.77/12.81  2325[20:Spt:2323.8] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  2328(e)[20:OCE:2325.0,28.0] ||  -> .
% 13.77/12.81  2333[20:Spt:2328.0,2323.8,2325.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  2334[20:Spt:2328.0,2323.0,2323.1,2323.2,2323.3,2323.4,2323.5,2323.6,2323.7] || 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)*.
% 13.77/12.81  2357[0:SpL:23.0,570.0] || 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))*.
% 13.77/12.81  2358[0:ArS:2357.0] || 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))*.
% 13.77/12.81  2364[0:SpL:24.0,2358.0] || 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))*.
% 13.77/12.81  2367[0:ArS:2364.0] || 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))*.
% 13.77/12.81  2368(e)[0:MRR:2367.3,13.0] || 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))*.
% 13.77/12.81  2371[21:Spt:2368.8] ||  -> lesseq(z1,z2)*.
% 13.77/12.81  2374(e)[21:OCE:2371.0,8.0] ||  -> .
% 13.77/12.81  2377[21:Spt:2374.0,2368.8,2371.0] || lesseq(z1,z2)* -> .
% 13.77/12.81  2378(e)[21:Spt:2374.0,2368.0,2368.1,2368.2,2368.3,2368.4,2368.5,2368.6,2368.7,2368.9] || 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))*.
% 13.77/12.81  2380[22:Spt:2378.8] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  2383(e)[22:OCE:2380.0,28.0] ||  -> .
% 13.77/12.81  2388[22:Spt:2383.0,2378.8,2380.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  2389[22:Spt:2383.0,2378.0,2378.1,2378.2,2378.3,2378.4,2378.5,2378.6,2378.7] || 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)*.
% 13.77/12.81  2538[0:SpL:23.0,648.0] || 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))*.
% 13.77/12.81  2539[0:ArS:2538.0] || 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))*.
% 13.77/12.81  2545[0:SpL:24.0,2539.0] || 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))*.
% 13.77/12.81  2548[0:ArS:2545.0] || 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))*.
% 13.77/12.81  2549(e)[0:MRR:2548.3,13.0] || 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))*.
% 13.77/12.81  2552[23:Spt:2549.8] ||  -> lesseq(z1,z2)*.
% 13.77/12.81  2555(e)[23:OCE:2552.0,8.0] ||  -> .
% 13.77/12.81  2558[23:Spt:2555.0,2549.8,2552.0] || lesseq(z1,z2)* -> .
% 13.77/12.81  2559(e)[23:Spt:2555.0,2549.0,2549.1,2549.2,2549.3,2549.4,2549.5,2549.6,2549.7,2549.9] || 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))*.
% 13.77/12.81  2563[24:Spt:2559.8] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  2566(e)[24:OCE:2563.0,28.0] ||  -> .
% 13.77/12.81  2571[24:Spt:2566.0,2559.8,2563.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  2572[24:Spt:2566.0,2559.0,2559.1,2559.2,2559.3,2559.4,2559.5,2559.6,2559.7] || 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)*.
% 13.77/12.81  2813[0:SpL:23.0,507.0] || 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))*.
% 13.77/12.81  2814[0:ArS:2813.0] || 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))*.
% 13.77/12.81  2820[0:SpL:24.0,2814.0] || 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))*.
% 13.77/12.81  2823[0:ArS:2820.0] || 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))*.
% 13.77/12.81  2824(e)[0:MRR:2823.3,13.0] || 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))*.
% 13.77/12.81  2827[25:Spt:2824.8] ||  -> lesseq(z1,z2)*.
% 13.77/12.81  2830(e)[25:OCE:2827.0,8.0] ||  -> .
% 13.77/12.81  2833[25:Spt:2830.0,2824.8,2827.0] || lesseq(z1,z2)* -> .
% 13.77/12.81  2834(e)[25:Spt:2830.0,2824.0,2824.1,2824.2,2824.3,2824.4,2824.5,2824.6,2824.7,2824.9] || 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))*.
% 13.77/12.81  2840[26:Spt:2834.8] ||  -> lesseq(3,b(z2))*.
% 13.77/12.81  2843(e)[26:OCE:2840.0,28.0] ||  -> .
% 13.77/12.81  2848[26:Spt:2843.0,2834.8,2840.0] || lesseq(3,b(z2))* -> .
% 13.77/12.81  2849[26:Spt:2843.0,2834.0,2834.1,2834.2,2834.3,2834.4,2834.5,2834.6,2834.7] || 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)*.
% 13.77/12.81  2852[26:SpL:25.0,2849.0] || equal(5,5) equal(b(U),5)** equal(a(U),1) -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 13.77/12.81  2857[26:ArS:2852.0] || equal(b(U),5)** equal(a(U),1) -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 13.77/12.81  2858[26:MRR:2857.2,2857.5,14.0,17.0] || equal(b(U),5)** equal(a(U),1) -> equal(z1,U) equal(z2,U) equal(z3,U).
% 13.77/12.81  2860[26:SpL:29.0,2858.0] || equal(5,5) equal(a(z4),1)** -> equal(z4,z1) equal(z4,z2) equal(z4,z3).
% 13.77/12.81  2862[26:ArS:2860.0] || equal(a(z4),1)** -> equal(z4,z1) equal(z4,z2) equal(z4,z3).
% 13.77/12.81  2863[26:Rew:26.0,2862.0] || equal(1,1) -> equal(z4,z1) equal(z4,z2) equal(z4,z3)**.
% 13.77/12.81  2864[26:ArS:2863.0] ||  -> equal(z4,z1) equal(z4,z2) equal(z4,z3)**.
% 13.77/12.81  2865(e)[26:MRR:2864.0,2864.1,2864.2,15.0,18.0,20.0] ||  -> .
% 13.77/12.81  
% 13.77/12.81  % SZS output end CNFRefutation for /tmp/SPASST_6333_n018.cluster.edu
% 13.77/12.81  
% 13.77/12.81  Formulae used in the proof : fof_z1_type fof_0
% 13.92/12.90  
% 13.92/12.90  SPASS+T ended
%------------------------------------------------------------------------------