TSTP Solution File: SWW049_1 by SPASS+T---2.2.22

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : SWW049_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n024.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 01:29:33 EDT 2022

% Result   : Theorem 19.81s 18.78s
% Output   : Refutation 19.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWW049_1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.14  % Command  : spasst-tptp-script %s %d
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun  4 12:46:05 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.37/0.56  % Using integer theory
% 19.81/18.78  
% 19.81/18.78  
% 19.81/18.78  % SZS status Theorem for /tmp/SPASST_22681_n024.cluster.edu
% 19.81/18.78  
% 19.81/18.78  SPASS V 2.2.22  in combination with yices.
% 19.81/18.78  SPASS beiseite: Proof found by SPASS.
% 19.81/18.78  Problem: /tmp/SPASST_22681_n024.cluster.edu 
% 19.81/18.78  SPASS derived 968 clauses, backtracked 158 clauses and kept 910 clauses.
% 19.81/18.78  SPASS backtracked 27 times (0 times due to theory inconsistency).
% 19.81/18.78  SPASS allocated 12076 KBytes.
% 19.81/18.78  SPASS spent	0:00:02.34 on the problem.
% 19.81/18.78  		0:00:00.16 for the input.
% 19.81/18.78  		0:00:01.04 for the FLOTTER CNF translation.
% 19.81/18.78  		0:00:00.04 for inferences.
% 19.81/18.78  		0:00:00.02 for the backtracking.
% 19.81/18.78  		0:00:00.86 for the reduction.
% 19.81/18.78  		0:00:00.03 for interacting with the SMT procedure.
% 19.81/18.78  		
% 19.81/18.78  
% 19.81/18.78  % SZS output start CNFRefutation for /tmp/SPASST_22681_n024.cluster.edu
% 19.81/18.78  
% 19.81/18.78  % Here is a proof with depth 6, length 222 :
% 19.81/18.78  9[0:Inp] ||  -> less(z2,z1)*.
% 19.81/18.78  14[0:Inp] || equal(z2,z1)** -> .
% 19.81/18.78  16[0:Inp] || equal(z4,z1)** -> .
% 19.81/18.78  18[0:Inp] || equal(z6,z1)** -> .
% 19.81/18.78  20[0:Inp] || equal(z4,z2)** -> .
% 19.81/18.78  22[0:Inp] || equal(z6,z2)** -> .
% 19.81/18.78  27[0:Inp] || equal(z6,z4)** -> .
% 19.81/18.78  29[0:Inp] ||  -> equal(a(z1),12)**.
% 19.81/18.78  30[0:Inp] ||  -> equal(a(z2),10)**.
% 19.81/18.78  32[0:Inp] ||  -> equal(a(z4),7)**.
% 19.81/18.78  33[0:Inp] ||  -> less(b(z2),3)*.
% 19.81/18.78  34[0:Inp] ||  -> equal(b(z4),2)**.
% 19.81/18.78  36[0:Inp] ||  -> equal(b(z6),5)**.
% 19.81/18.78  56[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).
% 19.81/18.78  130[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).
% 19.81/18.78  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),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 19.81/18.78  162[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).
% 19.81/18.78  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),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 19.81/18.78  180[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).
% 19.81/18.78  196[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).
% 19.81/18.78  197[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).
% 19.81/18.78  201[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).
% 19.81/18.78  208[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).
% 19.81/18.78  210[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).
% 19.81/18.78  211[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).
% 19.81/18.78  224[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).
% 19.81/18.78  225[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).
% 19.81/18.78  226[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).
% 19.81/18.78  244[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).
% 19.81/18.78  245[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).
% 19.81/18.78  262[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).
% 19.81/18.78  279[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).
% 19.81/18.78  513[0:TOC:56.4] || 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))*.
% 19.81/18.78  587[0:TOC:130.5] || 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))*.
% 19.81/18.78  592[0:TOC:135.5] || 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))*.
% 19.81/18.78  619[0:TOC:162.5] || 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))*.
% 19.81/18.78  636[0:TOC:179.5] || 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))*.
% 19.81/18.78  637[0:TOC:180.5] || 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))*.
% 19.81/18.78  653[0:TOC:196.5] || 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))*.
% 19.81/18.78  654[0:TOC:197.5] || 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))*.
% 19.81/18.78  658[0:TOC:201.5] || 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))*.
% 19.81/18.78  665[0:TOC:208.5] || 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))*.
% 19.81/18.78  667[0:TOC:210.5] || 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))*.
% 19.81/18.78  668[0:TOC:211.5] || 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))*.
% 19.81/18.78  681[0:TOC:224.5] || 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))*.
% 19.81/18.78  682[0:TOC:225.5] || 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))*.
% 19.81/18.78  683[0:TOC:226.5] || 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))*.
% 19.81/18.78  701[0:TOC:244.5] || 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))*.
% 19.81/18.78  702[0:TOC:245.5] || 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))*.
% 19.81/18.78  719[0:TOC:262.5] || 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))*.
% 19.81/18.78  736[0:TOC:279.5] || 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))*.
% 19.81/18.78  1148[0:SpL:29.0,513.0] || 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))*.
% 19.81/18.78  1149[0:ArS:1148.0] || 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))*.
% 19.81/18.78  1155[0:SpL:30.0,1149.0] || 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))*.
% 19.81/18.78  1158[0:ArS:1155.0] || equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 19.81/18.78  1159(e)[0:MRR:1158.2,14.0] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 19.81/18.78  1162[1:Spt:1159.4] ||  -> lesseq(z1,z2)*.
% 19.81/18.78  1165(e)[1:OCE:1162.0,9.0] ||  -> .
% 19.81/18.78  1168[1:Spt:1165.0,1159.4,1162.0] || lesseq(z1,z2)* -> .
% 19.81/18.78  1169(e)[1:Spt:1165.0,1159.0,1159.1,1159.2,1159.3,1159.5] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(3,b(z2))*.
% 19.81/18.78  1173[2:Spt:1169.4] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  1176(e)[2:OCE:1173.0,33.0] ||  -> .
% 19.81/18.78  1181[2:Spt:1176.0,1169.4,1173.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  1182[2:Spt:1176.0,1169.0,1169.1,1169.2,1169.3] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U).
% 19.81/18.78  1828[0:SpL:30.0,653.0] || 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))*.
% 19.81/18.78  1831(e)[0:ArS:1828.0] || 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))*.
% 19.81/18.78  1834[3:Spt:1831.11] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  1837(e)[3:OCE:1834.0,33.0] ||  -> .
% 19.81/18.78  1842[3:Spt:1837.0,1831.11,1834.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  1843[3:Spt:1837.0,1831.0,1831.1,1831.2,1831.3,1831.4,1831.5,1831.6,1831.7,1831.8,1831.9,1831.10] || 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))*.
% 19.81/18.78  1857[0:SpL:30.0,654.0] || 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))*.
% 19.81/18.78  1860(e)[0:ArS:1857.0] || 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))*.
% 19.81/18.78  1863[4:Spt:1860.11] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  1866(e)[4:OCE:1863.0,33.0] ||  -> .
% 19.81/18.78  1871[4:Spt:1866.0,1860.11,1863.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  1872[4:Spt:1866.0,1860.0,1860.1,1860.2,1860.3,1860.4,1860.5,1860.6,1860.7,1860.8,1860.9,1860.10] || 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))*.
% 19.81/18.78  1886[0:SpL:30.0,665.0] || 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))*.
% 19.81/18.78  1889(e)[0:ArS:1886.0] || 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))*.
% 19.81/18.78  1894[0:SpL:30.0,667.0] || 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))*.
% 19.81/18.78  1897(e)[0:ArS:1894.0] || 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))*.
% 19.81/18.78  1900[5:Spt:1889.11] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  1903(e)[5:OCE:1900.0,33.0] ||  -> .
% 19.81/18.78  1908[5:Spt:1903.0,1889.11,1900.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  1909[5:Spt:1903.0,1889.0,1889.1,1889.2,1889.3,1889.4,1889.5,1889.6,1889.7,1889.8,1889.9,1889.10] || 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))*.
% 19.81/18.78  1921[6:Spt:1897.11] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  1924(e)[6:OCE:1921.0,33.0] ||  -> .
% 19.81/18.78  1929[6:Spt:1924.0,1897.11,1921.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  1930[6:Spt:1924.0,1897.0,1897.1,1897.2,1897.3,1897.4,1897.5,1897.6,1897.7,1897.8,1897.9,1897.10] || 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))*.
% 19.81/18.78  1942[0:SpL:30.0,681.0] || 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))*.
% 19.81/18.78  1945(e)[0:ArS:1942.0] || 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))*.
% 19.81/18.78  1950[7:Spt:1945.11] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  1953(e)[7:OCE:1950.0,33.0] ||  -> .
% 19.81/18.78  1958[7:Spt:1953.0,1945.11,1950.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  1959[7:Spt:1953.0,1945.0,1945.1,1945.2,1945.3,1945.4,1945.5,1945.6,1945.7,1945.8,1945.9,1945.10] || 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))*.
% 19.81/18.78  1972[0:SpL:30.0,683.0] || 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))*.
% 19.81/18.78  1975(e)[0:ArS:1972.0] || 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))*.
% 19.81/18.78  1979[8:Spt:1975.11] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  1982(e)[8:OCE:1979.0,33.0] ||  -> .
% 19.81/18.78  1987[8:Spt:1982.0,1975.11,1979.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  1988[8:Spt:1982.0,1975.0,1975.1,1975.2,1975.3,1975.4,1975.5,1975.6,1975.7,1975.8,1975.9,1975.10] || 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))*.
% 19.81/18.78  2002[0:SpL:30.0,682.0] || 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))*.
% 19.81/18.78  2005(e)[0:ArS:2002.0] || 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))*.
% 19.81/18.78  2008[9:Spt:2005.11] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  2011(e)[9:OCE:2008.0,33.0] ||  -> .
% 19.81/18.78  2016[9:Spt:2011.0,2005.11,2008.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  2017[9:Spt:2011.0,2005.0,2005.1,2005.2,2005.3,2005.4,2005.5,2005.6,2005.7,2005.8,2005.9,2005.10] || 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))*.
% 19.81/18.78  2031[0:SpL:30.0,702.0] || 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))*.
% 19.81/18.78  2034(e)[0:ArS:2031.0] || 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))*.
% 19.81/18.78  2039[0:SpL:30.0,637.0] || 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))*.
% 19.81/18.78  2042(e)[0:ArS:2039.0] || 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))*.
% 19.81/18.78  2045[10:Spt:2034.11] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  2048(e)[10:OCE:2045.0,33.0] ||  -> .
% 19.81/18.78  2053[10:Spt:2048.0,2034.11,2045.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  2054[10:Spt:2048.0,2034.0,2034.1,2034.2,2034.3,2034.4,2034.5,2034.6,2034.7,2034.8,2034.9,2034.10] || 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))*.
% 19.81/18.78  2066[11:Spt:2042.11] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  2069(e)[11:OCE:2066.0,33.0] ||  -> .
% 19.81/18.78  2074[11:Spt:2069.0,2042.11,2066.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  2075[11:Spt:2069.0,2042.0,2042.1,2042.2,2042.3,2042.4,2042.5,2042.6,2042.7,2042.8,2042.9,2042.10] || 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))*.
% 19.81/18.78  2087[0:SpL:30.0,668.0] || 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))*.
% 19.81/18.78  2090(e)[0:ArS:2087.0] || 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))*.
% 19.81/18.78  2095[12:Spt:2090.11] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  2098(e)[12:OCE:2095.0,33.0] ||  -> .
% 19.81/18.78  2103[12:Spt:2098.0,2090.11,2095.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  2104[12:Spt:2098.0,2090.0,2090.1,2090.2,2090.3,2090.4,2090.5,2090.6,2090.7,2090.8,2090.9,2090.10] || 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))*.
% 19.81/18.78  2117[0:SpL:30.0,701.0] || 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))*.
% 19.81/18.78  2120(e)[0:ArS:2117.0] || 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))*.
% 19.81/18.78  2124[13:Spt:2120.11] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  2127(e)[13:OCE:2124.0,33.0] ||  -> .
% 19.81/18.78  2132[13:Spt:2127.0,2120.11,2124.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  2133[13:Spt:2127.0,2120.0,2120.1,2120.2,2120.3,2120.4,2120.5,2120.6,2120.7,2120.8,2120.9,2120.10] || 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))*.
% 19.81/18.78  2147[0:SpL:30.0,719.0] || 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))*.
% 19.81/18.78  2150(e)[0:ArS:2147.0] || 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))*.
% 19.81/18.78  2153[14:Spt:2150.11] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  2156(e)[14:OCE:2153.0,33.0] ||  -> .
% 19.81/18.78  2161[14:Spt:2156.0,2150.11,2153.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  2162[14:Spt:2156.0,2150.0,2150.1,2150.2,2150.3,2150.4,2150.5,2150.6,2150.7,2150.8,2150.9,2150.10] || 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))*.
% 19.81/18.78  2345[0:SpL:29.0,587.0] || 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))*.
% 19.81/18.78  2346[0:ArS:2345.0] || 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))*.
% 19.81/18.78  2353[0:SpL:29.0,592.0] || 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))*.
% 19.81/18.78  2354[0:ArS:2353.0] || 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))*.
% 19.81/18.78  2360[0:SpL:30.0,2346.0] || 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))*.
% 19.81/18.78  2363[0:ArS:2360.0] || 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))*.
% 19.81/18.78  2364(e)[0:MRR:2363.3,14.0] || 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))*.
% 19.81/18.78  2367[15:Spt:2364.8] ||  -> lesseq(z1,z2)*.
% 19.81/18.78  2370(e)[15:OCE:2367.0,9.0] ||  -> .
% 19.81/18.78  2373[15:Spt:2370.0,2364.8,2367.0] || lesseq(z1,z2)* -> .
% 19.81/18.78  2374(e)[15:Spt:2370.0,2364.0,2364.1,2364.2,2364.3,2364.4,2364.5,2364.6,2364.7,2364.9] || 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))*.
% 19.81/18.78  2376[16:Spt:2374.8] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  2379(e)[16:OCE:2376.0,33.0] ||  -> .
% 19.81/18.78  2384[16:Spt:2379.0,2374.8,2376.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  2385[16:Spt:2379.0,2374.0,2374.1,2374.2,2374.3,2374.4,2374.5,2374.6,2374.7] || 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)*.
% 19.81/18.78  2407[0:SpL:30.0,2354.0] || 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))*.
% 19.81/18.78  2410[0:ArS:2407.0] || 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))*.
% 19.81/18.78  2411(e)[0:MRR:2410.3,14.0] || 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))*.
% 19.81/18.78  2414[17:Spt:2411.8] ||  -> lesseq(z1,z2)*.
% 19.81/18.78  2417(e)[17:OCE:2414.0,9.0] ||  -> .
% 19.81/18.78  2420[17:Spt:2417.0,2411.8,2414.0] || lesseq(z1,z2)* -> .
% 19.81/18.78  2421(e)[17:Spt:2417.0,2411.0,2411.1,2411.2,2411.3,2411.4,2411.5,2411.6,2411.7,2411.9] || 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))*.
% 19.81/18.78  2423[18:Spt:2421.8] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  2426(e)[18:OCE:2423.0,33.0] ||  -> .
% 19.81/18.78  2431[18:Spt:2426.0,2421.8,2423.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  2432[18:Spt:2426.0,2421.0,2421.1,2421.2,2421.3,2421.4,2421.5,2421.6,2421.7] || 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)*.
% 19.81/18.78  2471[0:SpL:29.0,619.0] || 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))*.
% 19.81/18.78  2472[0:ArS:2471.0] || 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))*.
% 19.81/18.78  2478[0:SpL:30.0,2472.0] || 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))*.
% 19.81/18.78  2481[0:ArS:2478.0] || 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))*.
% 19.81/18.78  2482(e)[0:MRR:2481.3,14.0] || 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))*.
% 19.81/18.78  2493[19:Spt:2482.8] ||  -> lesseq(z1,z2)*.
% 19.81/18.78  2496(e)[19:OCE:2493.0,9.0] ||  -> .
% 19.81/18.78  2499[19:Spt:2496.0,2482.8,2493.0] || lesseq(z1,z2)* -> .
% 19.81/18.78  2500(e)[19:Spt:2496.0,2482.0,2482.1,2482.2,2482.3,2482.4,2482.5,2482.6,2482.7,2482.9] || 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))*.
% 19.81/18.78  2502[20:Spt:2500.8] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  2505(e)[20:OCE:2502.0,33.0] ||  -> .
% 19.81/18.78  2510[20:Spt:2505.0,2500.8,2502.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  2511[20:Spt:2505.0,2500.0,2500.1,2500.2,2500.3,2500.4,2500.5,2500.6,2500.7] || 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)*.
% 19.81/18.78  2535[0:SpL:29.0,636.0] || 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))*.
% 19.81/18.78  2536[0:ArS:2535.0] || 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))*.
% 19.81/18.78  2542[0:SpL:30.0,2536.0] || 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))*.
% 19.81/18.78  2545[0:ArS:2542.0] || 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))*.
% 19.81/18.78  2546(e)[0:MRR:2545.3,14.0] || 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))*.
% 19.81/18.78  2549[21:Spt:2546.8] ||  -> lesseq(z1,z2)*.
% 19.81/18.78  2552(e)[21:OCE:2549.0,9.0] ||  -> .
% 19.81/18.78  2555[21:Spt:2552.0,2546.8,2549.0] || lesseq(z1,z2)* -> .
% 19.81/18.78  2556(e)[21:Spt:2552.0,2546.0,2546.1,2546.2,2546.3,2546.4,2546.5,2546.6,2546.7,2546.9] || 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))*.
% 19.81/18.78  2558[22:Spt:2556.8] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  2561(e)[22:OCE:2558.0,33.0] ||  -> .
% 19.81/18.78  2566[22:Spt:2561.0,2556.8,2558.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  2567[22:Spt:2561.0,2556.0,2556.1,2556.2,2556.3,2556.4,2556.5,2556.6,2556.7] || 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)*.
% 19.81/18.78  2607[0:SpL:29.0,658.0] || 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))*.
% 19.81/18.78  2608[0:ArS:2607.0] || 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))*.
% 19.81/18.78  2614[0:SpL:30.0,2608.0] || 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))*.
% 19.81/18.78  2617[0:ArS:2614.0] || 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))*.
% 19.81/18.78  2618(e)[0:MRR:2617.3,14.0] || 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))*.
% 19.81/18.78  2621[23:Spt:2618.8] ||  -> lesseq(z1,z2)*.
% 19.81/18.78  2624(e)[23:OCE:2621.0,9.0] ||  -> .
% 19.81/18.78  2627[23:Spt:2624.0,2618.8,2621.0] || lesseq(z1,z2)* -> .
% 19.81/18.78  2628(e)[23:Spt:2624.0,2618.0,2618.1,2618.2,2618.3,2618.4,2618.5,2618.6,2618.7,2618.9] || 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))*.
% 19.81/18.78  2630[24:Spt:2628.8] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  2633(e)[24:OCE:2630.0,33.0] ||  -> .
% 19.81/18.78  2638[24:Spt:2633.0,2628.8,2630.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  2639[24:Spt:2633.0,2628.0,2628.1,2628.2,2628.3,2628.4,2628.5,2628.6,2628.7] || 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)*.
% 19.81/18.78  2793[0:SpL:29.0,736.0] || 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))*.
% 19.81/18.78  2794[0:ArS:2793.0] || 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))*.
% 19.81/18.78  2800[0:SpL:30.0,2794.0] || 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))*.
% 19.81/18.78  2803[0:ArS:2800.0] || 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))*.
% 19.81/18.78  2804(e)[0:MRR:2803.3,14.0] || 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))*.
% 19.81/18.78  2815[25:Spt:2804.8] ||  -> lesseq(z1,z2)*.
% 19.81/18.78  2818(e)[25:OCE:2815.0,9.0] ||  -> .
% 19.81/18.78  2821[25:Spt:2818.0,2804.8,2815.0] || lesseq(z1,z2)* -> .
% 19.81/18.78  2822(e)[25:Spt:2818.0,2804.0,2804.1,2804.2,2804.3,2804.4,2804.5,2804.6,2804.7,2804.9] || 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))*.
% 19.81/18.78  2824[26:Spt:2822.8] ||  -> lesseq(3,b(z2))*.
% 19.81/18.78  2827(e)[26:OCE:2824.0,33.0] ||  -> .
% 19.81/18.78  2832[26:Spt:2827.0,2822.8,2824.0] || lesseq(3,b(z2))* -> .
% 19.81/18.78  2833[26:Spt:2827.0,2822.0,2822.1,2822.2,2822.3,2822.4,2822.5,2822.6,2822.7] || 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)*.
% 19.81/18.78  2835[26:SpL:32.0,2833.0] || equal(7,7) equal(b(z4),2)** equal(b(U),5)** -> equal(z4,z1) equal(z1,U) equal(z2,U) equal(z4,z2) equal(z4,U).
% 19.81/18.78  2842[26:ArS:2835.0] || equal(b(z4),2)** equal(b(U),5)** -> equal(z4,z1) equal(z1,U) equal(z2,U) equal(z4,z2) equal(z4,U).
% 19.81/18.78  2843[26:Rew:34.0,2842.0] || equal(2,2) equal(b(U),5)** -> equal(z4,z1) equal(z1,U) equal(z2,U) equal(z4,z2) equal(z4,U).
% 19.81/18.78  2844[26:ArS:2843.0] || equal(b(U),5)** -> equal(z4,z1) equal(z1,U) equal(z2,U) equal(z4,z2) equal(z4,U).
% 19.81/18.78  2845[26:MRR:2844.1,2844.4,16.0,20.0] || equal(b(U),5)** -> equal(z1,U) equal(z2,U) equal(z4,U).
% 19.81/18.78  2846[26:SpL:36.0,2845.0] || equal(5,5) -> equal(z6,z1) equal(z6,z2) equal(z6,z4)**.
% 19.81/18.78  2849[26:ArS:2846.0] ||  -> equal(z6,z1) equal(z6,z2) equal(z6,z4)**.
% 19.81/18.78  2850(e)[26:MRR:2849.0,2849.1,2849.2,18.0,22.0,27.0] ||  -> .
% 19.81/18.78  
% 19.81/18.78  % SZS output end CNFRefutation for /tmp/SPASST_22681_n024.cluster.edu
% 19.81/18.78  
% 19.81/18.78  Formulae used in the proof : fof_z1_type fof_0
% 19.83/18.83  
% 19.83/18.83  SPASS+T ended
%------------------------------------------------------------------------------