TSTP Solution File: SWW010_1 by SPASS+T---2.2.22

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : SWW010_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n029.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 13.81s 12.94s
% Output   : Refutation 13.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWW010_1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.13  % Command  : spasst-tptp-script %s %d
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun  6 03:03:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.51  % Using integer theory
% 13.81/12.94  
% 13.81/12.94  
% 13.81/12.94  % SZS status Theorem for /tmp/SPASST_9730_n029.cluster.edu
% 13.81/12.94  
% 13.81/12.94  SPASS V 2.2.22  in combination with yices.
% 13.81/12.94  SPASS beiseite: Proof found by SPASS.
% 13.81/12.94  Problem: /tmp/SPASST_9730_n029.cluster.edu 
% 13.81/12.94  SPASS derived 992 clauses, backtracked 371 clauses and kept 934 clauses.
% 13.81/12.94  SPASS backtracked 27 times (0 times due to theory inconsistency).
% 13.81/12.94  SPASS allocated 11004 KBytes.
% 13.81/12.94  SPASS spent	0:00:01.75 on the problem.
% 13.81/12.94  		0:00:00.11 for the input.
% 13.81/12.94  		0:00:00.65 for the FLOTTER CNF translation.
% 13.81/12.94  		0:00:00.04 for inferences.
% 13.81/12.94  		0:00:00.00 for the backtracking.
% 13.81/12.94  		0:00:00.80 for the reduction.
% 13.81/12.94  		0:00:00.03 for interacting with the SMT procedure.
% 13.81/12.94  		
% 13.81/12.94  
% 13.81/12.94  % SZS output start CNFRefutation for /tmp/SPASST_9730_n029.cluster.edu
% 13.81/12.94  
% 13.81/12.94  % Here is a proof with depth 6, length 222 :
% 13.81/12.94  8[0:Inp] ||  -> less(z2,z1)*.
% 13.81/12.94  13[0:Inp] || equal(z2,z1)** -> .
% 13.81/12.94  14[0:Inp] || equal(z3,z1)** -> .
% 13.81/12.94  15[0:Inp] || equal(z4,z1)** -> .
% 13.81/12.94  17[0:Inp] || equal(z3,z2)** -> .
% 13.81/12.94  18[0:Inp] || equal(z4,z2)** -> .
% 13.81/12.94  20[0:Inp] || equal(z4,z3)** -> .
% 13.81/12.94  23[0:Inp] ||  -> equal(a(z1),1)**.
% 13.81/12.94  24[0:Inp] ||  -> equal(a(z2),10)**.
% 13.81/12.94  25[0:Inp] ||  -> equal(a(z3),5)**.
% 13.81/12.94  26[0:Inp] ||  -> equal(a(z4),12)**.
% 13.81/12.94  28[0:Inp] ||  -> less(b(z2),3)*.
% 13.81/12.94  29[0:Inp] ||  -> equal(b(z4),5)**.
% 13.81/12.94  53[0:Inp] || equal(b(U),2)** equal(a(U),8) equal(a(V),10) less(b(V),3)* less(V,W)* equal(a(W),1) -> equal(V,U)* equal(W,U)* equal(W,V).
% 13.81/12.94  122[0:Inp] || equal(a(U),12) equal(b(U),5)** equal(a(V),5)** 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).
% 13.81/12.94  135[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),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 13.81/12.94  145[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),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 13.81/12.94  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).
% 13.81/12.94  179[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),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 13.81/12.94  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).
% 13.81/12.94  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).
% 13.81/12.94  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).
% 13.81/12.94  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).
% 13.81/12.94  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).
% 13.81/12.94  204[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),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 13.81/12.94  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).
% 13.81/12.94  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).
% 13.81/12.94  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).
% 13.81/12.94  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).
% 13.81/12.94  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).
% 13.81/12.94  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).
% 13.81/12.94  266[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),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 13.81/12.94  440[0:TOC:53.4] || equal(a(U),1)+ 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))*.
% 13.81/12.94  509[0:TOC:122.5] || equal(a(U),1)+ equal(a(V),10) equal(a(W),5)** 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))*.
% 13.81/12.94  522[0:TOC:135.5] || equal(a(U),1)+ 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))*.
% 13.81/12.94  532[0:TOC:145.5] || equal(a(U),1)+ 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))*.
% 13.81/12.94  552[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))*.
% 13.81/12.94  566[0:TOC:179.5] || equal(a(U),1)+ 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))*.
% 13.81/12.94  568[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))*.
% 13.81/12.94  569[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))*.
% 13.81/12.94  580[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))*.
% 13.81/12.94  582[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))*.
% 13.81/12.94  583[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))*.
% 13.81/12.94  591[0:TOC:204.5] || equal(a(U),1)+ 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))*.
% 13.81/12.94  596[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))*.
% 13.81/12.94  597[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))*.
% 13.81/12.94  598[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))*.
% 13.81/12.94  616[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))*.
% 13.81/12.94  617[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))*.
% 13.81/12.94  634[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))*.
% 13.81/12.94  653[0:TOC:266.5] || equal(a(U),1)+ 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))*.
% 13.81/12.94  993[0:SpL:23.0,440.0] || equal(1,1) 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))*.
% 13.81/12.94  994[0:ArS:993.0] || 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))*.
% 13.81/12.94  1000[0:SpL:24.0,994.0] || 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))*.
% 13.81/12.94  1003[0:ArS:1000.0] || equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 13.81/12.94  1004(e)[0:MRR:1003.2,13.0] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 13.81/12.94  1007[1:Spt:1004.4] ||  -> lesseq(z1,z2)*.
% 13.81/12.94  1010(e)[1:OCE:1007.0,8.0] ||  -> .
% 13.81/12.94  1013[1:Spt:1010.0,1004.4,1007.0] || lesseq(z1,z2)* -> .
% 13.81/12.94  1014(e)[1:Spt:1010.0,1004.0,1004.1,1004.2,1004.3,1004.5] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(3,b(z2))*.
% 13.81/12.94  1016[2:Spt:1014.4] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1019(e)[2:OCE:1016.0,28.0] ||  -> .
% 13.81/12.94  1024[2:Spt:1019.0,1014.4,1016.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1025[2:Spt:1019.0,1014.0,1014.1,1014.2,1014.3] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U).
% 13.81/12.94  1634[0:SpL:24.0,568.0] || 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))*.
% 13.81/12.94  1637(e)[0:ArS:1634.0] || 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))*.
% 13.81/12.94  1642[0:SpL:24.0,569.0] || 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))*.
% 13.81/12.94  1645(e)[0:ArS:1642.0] || 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))*.
% 13.81/12.94  1648[3:Spt:1637.11] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1651(e)[3:OCE:1648.0,28.0] ||  -> .
% 13.81/12.94  1656[3:Spt:1651.0,1637.11,1648.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1657[3:Spt:1651.0,1637.0,1637.1,1637.2,1637.3,1637.4,1637.5,1637.6,1637.7,1637.8,1637.9,1637.10] || 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))*.
% 13.81/12.94  1678[4:Spt:1645.11] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1681(e)[4:OCE:1678.0,28.0] ||  -> .
% 13.81/12.94  1686[4:Spt:1681.0,1645.11,1678.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1687[4:Spt:1681.0,1645.0,1645.1,1645.2,1645.3,1645.4,1645.5,1645.6,1645.7,1645.8,1645.9,1645.10] || 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))*.
% 13.81/12.94  1699[0:SpL:24.0,580.0] || 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))*.
% 13.81/12.94  1702(e)[0:ArS:1699.0] || 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))*.
% 13.81/12.94  1707[5:Spt:1702.11] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1710(e)[5:OCE:1707.0,28.0] ||  -> .
% 13.81/12.94  1715[5:Spt:1710.0,1702.11,1707.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1716[5:Spt:1710.0,1702.0,1702.1,1702.2,1702.3,1702.4,1702.5,1702.6,1702.7,1702.8,1702.9,1702.10] || 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))*.
% 13.81/12.94  1729[0:SpL:24.0,582.0] || 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))*.
% 13.81/12.94  1732(e)[0:ArS:1729.0] || 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))*.
% 13.81/12.94  1736[6:Spt:1732.11] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1739(e)[6:OCE:1736.0,28.0] ||  -> .
% 13.81/12.94  1744[6:Spt:1739.0,1732.11,1736.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1745[6:Spt:1739.0,1732.0,1732.1,1732.2,1732.3,1732.4,1732.5,1732.6,1732.7,1732.8,1732.9,1732.10] || 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))*.
% 13.81/12.94  1759[0:SpL:24.0,596.0] || 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))*.
% 13.81/12.94  1762(e)[0:ArS:1759.0] || 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))*.
% 13.81/12.94  1765[7:Spt:1762.11] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1768(e)[7:OCE:1765.0,28.0] ||  -> .
% 13.81/12.94  1773[7:Spt:1768.0,1762.11,1765.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1774[7:Spt:1768.0,1762.0,1762.1,1762.2,1762.3,1762.4,1762.5,1762.6,1762.7,1762.8,1762.9,1762.10] || 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))*.
% 13.81/12.94  1788[0:SpL:24.0,598.0] || 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))*.
% 13.81/12.94  1791(e)[0:ArS:1788.0] || 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))*.
% 13.81/12.94  1796[0:SpL:24.0,597.0] || 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))*.
% 13.81/12.94  1799(e)[0:ArS:1796.0] || 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))*.
% 13.81/12.94  1802[8:Spt:1791.11] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1805(e)[8:OCE:1802.0,28.0] ||  -> .
% 13.81/12.94  1810[8:Spt:1805.0,1791.11,1802.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1811[8:Spt:1805.0,1791.0,1791.1,1791.2,1791.3,1791.4,1791.5,1791.6,1791.7,1791.8,1791.9,1791.10] || 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))*.
% 13.81/12.94  1823[9:Spt:1799.11] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1826(e)[9:OCE:1823.0,28.0] ||  -> .
% 13.81/12.94  1831[9:Spt:1826.0,1799.11,1823.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1832[9:Spt:1826.0,1799.0,1799.1,1799.2,1799.3,1799.4,1799.5,1799.6,1799.7,1799.8,1799.9,1799.10] || 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))*.
% 13.81/12.94  1844[0:SpL:24.0,617.0] || 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))*.
% 13.81/12.94  1847(e)[0:ArS:1844.0] || 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))*.
% 13.81/12.94  1852[10:Spt:1847.11] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1855(e)[10:OCE:1852.0,28.0] ||  -> .
% 13.81/12.94  1860[10:Spt:1855.0,1847.11,1852.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1861[10:Spt:1855.0,1847.0,1847.1,1847.2,1847.3,1847.4,1847.5,1847.6,1847.7,1847.8,1847.9,1847.10] || 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))*.
% 13.81/12.94  1874[0:SpL:24.0,552.0] || 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))*.
% 13.81/12.94  1877(e)[0:ArS:1874.0] || 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))*.
% 13.81/12.94  1881[11:Spt:1877.11] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1884(e)[11:OCE:1881.0,28.0] ||  -> .
% 13.81/12.94  1889[11:Spt:1884.0,1877.11,1881.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1890[11:Spt:1884.0,1877.0,1877.1,1877.2,1877.3,1877.4,1877.5,1877.6,1877.7,1877.8,1877.9,1877.10] || 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))*.
% 13.81/12.94  1904[0:SpL:24.0,583.0] || 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))*.
% 13.81/12.94  1907(e)[0:ArS:1904.0] || 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))*.
% 13.81/12.94  1910[12:Spt:1907.11] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1913(e)[12:OCE:1910.0,28.0] ||  -> .
% 13.81/12.94  1918[12:Spt:1913.0,1907.11,1910.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1919[12:Spt:1913.0,1907.0,1907.1,1907.2,1907.3,1907.4,1907.5,1907.6,1907.7,1907.8,1907.9,1907.10] || 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))*.
% 13.81/12.94  1933[0:SpL:24.0,616.0] || 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))*.
% 13.81/12.94  1936(e)[0:ArS:1933.0] || 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))*.
% 13.81/12.94  1941[0:SpL:24.0,634.0] || 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))*.
% 13.81/12.94  1944(e)[0:ArS:1941.0] || 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))*.
% 13.81/12.94  1947[13:Spt:1936.11] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1950(e)[13:OCE:1947.0,28.0] ||  -> .
% 13.81/12.94  1955[13:Spt:1950.0,1936.11,1947.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1956[13:Spt:1950.0,1936.0,1936.1,1936.2,1936.3,1936.4,1936.5,1936.6,1936.7,1936.8,1936.9,1936.10] || 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))*.
% 13.81/12.94  1968[14:Spt:1944.11] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  1971(e)[14:OCE:1968.0,28.0] ||  -> .
% 13.81/12.94  1976[14:Spt:1971.0,1944.11,1968.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  1977[14:Spt:1971.0,1944.0,1944.1,1944.2,1944.3,1944.4,1944.5,1944.6,1944.7,1944.8,1944.9,1944.10] || 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))*.
% 13.81/12.94  2166[0:SpL:23.0,522.0] || equal(1,1) 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))*.
% 13.81/12.94  2167[0:ArS:2166.0] || 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))*.
% 13.81/12.94  2173[0:SpL:24.0,2167.0] || 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))*.
% 13.81/12.94  2176[0:ArS:2173.0] || 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))*.
% 13.81/12.94  2177(e)[0:MRR:2176.3,13.0] || 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))*.
% 13.81/12.94  2180[15:Spt:2177.8] ||  -> lesseq(z1,z2)*.
% 13.81/12.94  2183(e)[15:OCE:2180.0,8.0] ||  -> .
% 13.81/12.94  2186[15:Spt:2183.0,2177.8,2180.0] || lesseq(z1,z2)* -> .
% 13.81/12.94  2187(e)[15:Spt:2183.0,2177.0,2177.1,2177.2,2177.3,2177.4,2177.5,2177.6,2177.7,2177.9] || 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))*.
% 13.81/12.94  2192[16:Spt:2187.8] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  2195(e)[16:OCE:2192.0,28.0] ||  -> .
% 13.81/12.94  2200[16:Spt:2195.0,2187.8,2192.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  2201[16:Spt:2195.0,2187.0,2187.1,2187.2,2187.3,2187.4,2187.5,2187.6,2187.7] || 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)*.
% 13.81/12.94  2224[0:SpL:23.0,532.0] || equal(1,1) 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))*.
% 13.81/12.94  2225[0:ArS:2224.0] || 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))*.
% 13.81/12.94  2231[0:SpL:24.0,2225.0] || 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))*.
% 13.81/12.94  2234[0:ArS:2231.0] || 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))*.
% 13.81/12.94  2235(e)[0:MRR:2234.3,13.0] || 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))*.
% 13.81/12.94  2238[17:Spt:2235.8] ||  -> lesseq(z1,z2)*.
% 13.81/12.94  2241(e)[17:OCE:2238.0,8.0] ||  -> .
% 13.81/12.94  2244[17:Spt:2241.0,2235.8,2238.0] || lesseq(z1,z2)* -> .
% 13.81/12.94  2245(e)[17:Spt:2241.0,2235.0,2235.1,2235.2,2235.3,2235.4,2235.5,2235.6,2235.7,2235.9] || 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))*.
% 13.81/12.94  2247[18:Spt:2245.8] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  2250(e)[18:OCE:2247.0,28.0] ||  -> .
% 13.81/12.94  2255[18:Spt:2250.0,2245.8,2247.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  2256[18:Spt:2250.0,2245.0,2245.1,2245.2,2245.3,2245.4,2245.5,2245.6,2245.7] || 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)*.
% 13.81/12.94  2303[0:SpL:23.0,566.0] || equal(1,1) 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))*.
% 13.81/12.94  2304[0:ArS:2303.0] || 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))*.
% 13.81/12.94  2310[0:SpL:24.0,2304.0] || 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))*.
% 13.81/12.94  2313[0:ArS:2310.0] || 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))*.
% 13.81/12.94  2314(e)[0:MRR:2313.3,13.0] || 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))*.
% 13.81/12.94  2317[19:Spt:2314.8] ||  -> lesseq(z1,z2)*.
% 13.81/12.94  2320(e)[19:OCE:2317.0,8.0] ||  -> .
% 13.81/12.94  2323[19:Spt:2320.0,2314.8,2317.0] || lesseq(z1,z2)* -> .
% 13.81/12.94  2324(e)[19:Spt:2320.0,2314.0,2314.1,2314.2,2314.3,2314.4,2314.5,2314.6,2314.7,2314.9] || 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))*.
% 13.81/12.94  2326[20:Spt:2324.8] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  2329(e)[20:OCE:2326.0,28.0] ||  -> .
% 13.81/12.94  2334[20:Spt:2329.0,2324.8,2326.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  2335[20:Spt:2329.0,2324.0,2324.1,2324.2,2324.3,2324.4,2324.5,2324.6,2324.7] || 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)*.
% 13.81/12.94  2372[0:SpL:23.0,591.0] || equal(1,1) 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))*.
% 13.81/12.94  2373[0:ArS:2372.0] || 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))*.
% 13.81/12.94  2385[0:SpL:24.0,2373.0] || 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))*.
% 13.81/12.94  2388[0:ArS:2385.0] || 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))*.
% 13.81/12.94  2389(e)[0:MRR:2388.3,13.0] || 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))*.
% 13.81/12.94  2392[21:Spt:2389.8] ||  -> lesseq(z1,z2)*.
% 13.81/12.94  2395(e)[21:OCE:2392.0,8.0] ||  -> .
% 13.81/12.94  2398[21:Spt:2395.0,2389.8,2392.0] || lesseq(z1,z2)* -> .
% 13.81/12.94  2399(e)[21:Spt:2395.0,2389.0,2389.1,2389.2,2389.3,2389.4,2389.5,2389.6,2389.7,2389.9] || 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))*.
% 13.81/12.94  2401[22:Spt:2399.8] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  2404(e)[22:OCE:2401.0,28.0] ||  -> .
% 13.81/12.94  2409[22:Spt:2404.0,2399.8,2401.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  2410[22:Spt:2404.0,2399.0,2399.1,2399.2,2399.3,2399.4,2399.5,2399.6,2399.7] || 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)*.
% 13.81/12.94  2541[0:SpL:23.0,653.0] || equal(1,1) 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))*.
% 13.81/12.94  2542[0:ArS:2541.0] || 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))*.
% 13.81/12.94  2548[0:SpL:24.0,2542.0] || 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))*.
% 13.81/12.94  2551[0:ArS:2548.0] || 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))*.
% 13.81/12.94  2552(e)[0:MRR:2551.3,13.0] || 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))*.
% 13.81/12.94  2561[23:Spt:2552.8] ||  -> lesseq(z1,z2)*.
% 13.81/12.94  2564(e)[23:OCE:2561.0,8.0] ||  -> .
% 13.81/12.94  2567[23:Spt:2564.0,2552.8,2561.0] || lesseq(z1,z2)* -> .
% 13.81/12.94  2568(e)[23:Spt:2564.0,2552.0,2552.1,2552.2,2552.3,2552.4,2552.5,2552.6,2552.7,2552.9] || 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))*.
% 13.81/12.94  2572[24:Spt:2568.8] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  2575(e)[24:OCE:2572.0,28.0] ||  -> .
% 13.81/12.94  2580[24:Spt:2575.0,2568.8,2572.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  2581[24:Spt:2575.0,2568.0,2568.1,2568.2,2568.3,2568.4,2568.5,2568.6,2568.7] || 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)*.
% 13.81/12.94  2788[0:SpL:23.0,509.0] || equal(1,1) equal(a(U),10) equal(a(V),5)** 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))*.
% 13.81/12.94  2789[0:ArS:2788.0] || equal(a(U),10)+ equal(a(V),5)** 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))*.
% 13.81/12.94  2795[0:SpL:24.0,2789.0] || equal(10,10) equal(a(U),5)** 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))*.
% 13.81/12.94  2798[0:ArS:2795.0] || equal(a(U),5)** 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))*.
% 13.81/12.94  2799(e)[0:MRR:2798.3,13.0] || equal(a(U),5)** 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))*.
% 13.81/12.94  2802[25:Spt:2799.8] ||  -> lesseq(z1,z2)*.
% 13.81/12.94  2805(e)[25:OCE:2802.0,8.0] ||  -> .
% 13.81/12.94  2808[25:Spt:2805.0,2799.8,2802.0] || lesseq(z1,z2)* -> .
% 13.81/12.94  2809(e)[25:Spt:2805.0,2799.0,2799.1,2799.2,2799.3,2799.4,2799.5,2799.6,2799.7,2799.9] || equal(a(U),5)** 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))*.
% 13.81/12.94  2814[26:Spt:2809.8] ||  -> lesseq(3,b(z2))*.
% 13.81/12.94  2817(e)[26:OCE:2814.0,28.0] ||  -> .
% 13.81/12.94  2822[26:Spt:2817.0,2809.8,2814.0] || lesseq(3,b(z2))* -> .
% 13.81/12.94  2823[26:Spt:2817.0,2809.0,2809.1,2809.2,2809.3,2809.4,2809.5,2809.6,2809.7] || equal(a(U),5)**+ equal(b(V),5)** equal(a(V),12) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 13.81/12.94  2826[26:SpL:25.0,2823.0] || equal(5,5) equal(b(U),5)** equal(a(U),12) -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 13.81/12.94  2831[26:ArS:2826.0] || equal(b(U),5)** equal(a(U),12) -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 13.81/12.94  2832[26:MRR:2831.2,2831.5,14.0,17.0] || equal(b(U),5)** equal(a(U),12) -> equal(z1,U) equal(z2,U) equal(z3,U).
% 13.81/12.94  2834[26:SpL:29.0,2832.0] || equal(5,5) equal(a(z4),12)** -> equal(z4,z1) equal(z4,z2) equal(z4,z3).
% 13.81/12.94  2836[26:ArS:2834.0] || equal(a(z4),12)** -> equal(z4,z1) equal(z4,z2) equal(z4,z3).
% 13.81/12.94  2837[26:Rew:26.0,2836.0] || equal(12,12) -> equal(z4,z1) equal(z4,z2) equal(z4,z3)**.
% 13.81/12.94  2838[26:ArS:2837.0] ||  -> equal(z4,z1) equal(z4,z2) equal(z4,z3)**.
% 13.81/12.94  2839(e)[26:MRR:2838.0,2838.1,2838.2,15.0,18.0,20.0] ||  -> .
% 13.81/12.94  
% 13.81/12.94  % SZS output end CNFRefutation for /tmp/SPASST_9730_n029.cluster.edu
% 13.81/12.94  
% 13.81/12.94  Formulae used in the proof : fof_z1_type fof_0
% 14.01/13.02  
% 14.01/13.02  SPASS+T ended
%------------------------------------------------------------------------------