TSTP Solution File: SWW064_1 by SPASS+T---2.2.22
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : SWW064_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n017.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 01:29:35 EDT 2022
% Result : Theorem 22.59s 20.76s
% Output : Refutation 22.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW064_1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : spasst-tptp-script %s %d
% 0.13/0.34 % Computer : n017.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 : Sat Jun 4 22:33:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.52 % Using integer theory
% 22.59/20.76
% 22.59/20.76
% 22.59/20.76 % SZS status Theorem for /tmp/SPASST_14441_n017.cluster.edu
% 22.59/20.76
% 22.59/20.76 SPASS V 2.2.22 in combination with yices.
% 22.59/20.76 SPASS beiseite: Proof found by SPASS.
% 22.59/20.76 Problem: /tmp/SPASST_14441_n017.cluster.edu
% 22.59/20.76 SPASS derived 1390 clauses, backtracked 719 clauses and kept 1528 clauses.
% 22.59/20.76 SPASS backtracked 29 times (0 times due to theory inconsistency).
% 22.59/20.76 SPASS allocated 12781 KBytes.
% 22.59/20.76 SPASS spent 0:00:03.24 on the problem.
% 22.59/20.76 0:00:00.16 for the input.
% 22.59/20.76 0:00:01.15 for the FLOTTER CNF translation.
% 22.59/20.76 0:00:00.05 for inferences.
% 22.59/20.76 0:00:00.02 for the backtracking.
% 22.59/20.76 0:00:01.59 for the reduction.
% 22.59/20.76 0:00:00.07 for interacting with the SMT procedure.
% 22.59/20.76
% 22.59/20.76
% 22.59/20.76 % SZS output start CNFRefutation for /tmp/SPASST_14441_n017.cluster.edu
% 22.59/20.76
% 22.59/20.76 % Here is a proof with depth 6, length 237 :
% 22.59/20.76 9[0:Inp] || -> less(z2,z1)*.
% 22.59/20.76 14[0:Inp] || equal(z2,z1)** -> .
% 22.59/20.76 15[0:Inp] || equal(z3,z1)** -> .
% 22.59/20.76 16[0:Inp] || equal(z4,z1)** -> .
% 22.59/20.76 19[0:Inp] || equal(z3,z2)** -> .
% 22.59/20.76 20[0:Inp] || equal(z4,z2)** -> .
% 22.59/20.76 23[0:Inp] || equal(z4,z3)** -> .
% 22.59/20.76 29[0:Inp] || -> equal(a(z1),2)**.
% 22.59/20.76 30[0:Inp] || -> equal(a(z2),10)**.
% 22.59/20.76 31[0:Inp] || -> equal(a(z3),5)**.
% 22.59/20.76 32[0:Inp] || -> equal(a(z4),1)**.
% 22.59/20.76 33[0:Inp] || -> less(b(z2),3)*.
% 22.59/20.76 34[0:Inp] || -> equal(b(z4),5)**.
% 22.59/20.76 64[0:Inp] || equal(b(U),2)** equal(a(U),8) equal(a(V),10) less(b(V),3)* less(V,W)* equal(a(W),2) -> equal(V,U)* equal(W,U)* equal(W,V).
% 22.59/20.76 135[0:Inp] || equal(a(U),12) equal(b(U),5)** equal(a(V),4)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 150[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),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 151[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),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 167[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),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 169[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),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 172[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),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 179[0:Inp] || equal(a(U),12)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 189[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),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 195[0:Inp] || equal(a(U),12)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 196[0:Inp] || equal(a(U),1)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 207[0:Inp] || equal(a(U),12)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 209[0:Inp] || equal(a(U),2)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 210[0:Inp] || equal(a(U),1)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 223[0:Inp] || equal(a(U),1)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 224[0:Inp] || equal(b(U),2)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),12) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 225[0:Inp] || equal(a(U),2)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 243[0:Inp] || equal(a(U),2)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 244[0:Inp] || equal(b(U),2)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),1) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 261[0:Inp] || equal(b(U),2)** less(b(V),4)* equal(a(V),8) equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),2) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 22.59/20.76 548[0:TOC:64.4] || equal(a(U),2)+ 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))*.
% 22.59/20.76 619[0:TOC:135.5] || equal(a(U),2)+ equal(a(V),10) equal(a(W),4)** equal(b(X),5)** equal(a(X),12) -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))*.
% 22.59/20.76 634[0:TOC:150.5] || equal(a(U),2)+ 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))*.
% 22.59/20.76 635[0:TOC:151.5] || equal(a(U),2)+ 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))*.
% 22.59/20.76 651[0:TOC:167.5] || equal(a(U),2)+ 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))*.
% 22.59/20.76 653[0:TOC:169.5] || equal(a(U),2)+ 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))*.
% 22.59/20.76 656[0:TOC:172.5] || equal(a(U),2)+ 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))*.
% 22.59/20.76 663[0:TOC:179.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),12) equal(a(X),12)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 22.59/20.76 673[0:TOC:189.5] || equal(a(U),2)+ 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))*.
% 22.59/20.76 679[0:TOC:195.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),1) equal(a(X),12)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 22.59/20.76 680[0:TOC:196.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),12) equal(a(X),1)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 22.59/20.76 691[0:TOC:207.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),2) equal(a(X),12)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 22.59/20.76 693[0:TOC:209.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),12) equal(a(X),2)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 22.59/20.76 694[0:TOC:210.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),1) equal(a(X),1)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 22.59/20.76 707[0:TOC:223.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),2) equal(a(X),1)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 22.59/20.76 708[0:TOC:224.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),12) equal(b(X),2)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 22.59/20.76 709[0:TOC:225.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),1) equal(a(X),2)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 22.59/20.76 727[0:TOC:243.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),2) equal(a(X),2)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 22.59/20.76 728[0:TOC:244.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),1) equal(b(X),2)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 22.59/20.76 745[0:TOC:261.5] || equal(a(U),10)+ equal(a(V),8) equal(a(W),2) equal(b(X),2)** -> equal(W,U) equal(W,V)* equal(W,X)* equal(U,X)* equal(U,V)* equal(V,X)* lesseq(W,U)* lesseq(4,b(V))* lesseq(3,b(U))*.
% 22.59/20.76 1244[0:SpL:29.0,548.0] || equal(2,2) 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))*.
% 22.59/20.76 1245[0:ArS:1244.0] || 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))*.
% 22.59/20.76 1251[0:SpL:30.0,1245.0] || 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))*.
% 22.59/20.76 1254[0:ArS:1251.0] || equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 22.59/20.76 1255(e)[0:MRR:1254.2,14.0] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 22.59/20.76 1262[1:Spt:1255.4] || -> lesseq(z1,z2)*.
% 22.59/20.76 1265(e)[1:OCE:1262.0,9.0] || -> .
% 22.59/20.76 1268[1:Spt:1265.0,1255.4,1262.0] || lesseq(z1,z2)* -> .
% 22.59/20.76 1269(e)[1:Spt:1265.0,1255.0,1255.1,1255.2,1255.3,1255.5] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(3,b(z2))*.
% 22.59/20.76 1272[2:Spt:1269.4] || -> lesseq(3,b(z2))*.
% 22.59/20.76 1275(e)[2:OCE:1272.0,33.0] || -> .
% 22.59/20.76 1280[2:Spt:1275.0,1269.4,1272.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 1281[2:Spt:1275.0,1269.0,1269.1,1269.2,1269.3] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U).
% 22.59/20.76 1854[0:SpL:30.0,679.0] || 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))*.
% 22.59/20.76 1857(e)[0:ArS:1854.0] || 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))*.
% 22.59/20.76 1860[3:Spt:1857.11] || -> lesseq(3,b(z2))*.
% 22.59/20.76 1863(e)[3:OCE:1860.0,33.0] || -> .
% 22.59/20.76 1868[3:Spt:1863.0,1857.11,1860.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 1869[3:Spt:1863.0,1857.0,1857.1,1857.2,1857.3,1857.4,1857.5,1857.6,1857.7,1857.8,1857.9,1857.10] || 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))*.
% 22.59/20.76 1898[0:SpL:30.0,680.0] || 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))*.
% 22.59/20.76 1901(e)[0:ArS:1898.0] || 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))*.
% 22.59/20.76 1918[0:SpL:30.0,691.0] || 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))*.
% 22.59/20.76 1921(e)[0:ArS:1918.0] || 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))*.
% 22.59/20.76 1934[0:SpL:30.0,693.0] || 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))*.
% 22.59/20.76 1937(e)[0:ArS:1934.0] || 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))*.
% 22.59/20.76 1940[4:Spt:1901.11] || -> lesseq(3,b(z2))*.
% 22.59/20.76 1943(e)[4:OCE:1940.0,33.0] || -> .
% 22.59/20.76 1948[4:Spt:1943.0,1901.11,1940.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 1949[4:Spt:1943.0,1901.0,1901.1,1901.2,1901.3,1901.4,1901.5,1901.6,1901.7,1901.8,1901.9,1901.10] || 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))*.
% 22.59/20.76 1971[0:SpL:30.0,707.0] || 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))*.
% 22.59/20.76 1974(e)[0:ArS:1971.0] || 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))*.
% 22.59/20.76 1987[0:SpL:30.0,709.0] || 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))*.
% 22.59/20.76 1990(e)[0:ArS:1987.0] || 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))*.
% 22.59/20.76 1995[5:Spt:1937.11] || -> lesseq(3,b(z2))*.
% 22.59/20.76 1998(e)[5:OCE:1995.0,33.0] || -> .
% 22.59/20.76 2003[5:Spt:1998.0,1937.11,1995.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2004[5:Spt:1998.0,1937.0,1937.1,1937.2,1937.3,1937.4,1937.5,1937.6,1937.7,1937.8,1937.9,1937.10] || 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))*.
% 22.59/20.76 2022[0:SpL:30.0,708.0] || 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))*.
% 22.59/20.76 2025(e)[0:ArS:2022.0] || 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))*.
% 22.59/20.76 2038[0:SpL:30.0,728.0] || 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))*.
% 22.59/20.76 2041(e)[0:ArS:2038.0] || 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))*.
% 22.59/20.76 2050[6:Spt:1990.11] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2053(e)[6:OCE:2050.0,33.0] || -> .
% 22.59/20.76 2058[6:Spt:2053.0,1990.11,2050.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2059[6:Spt:2053.0,1990.0,1990.1,1990.2,1990.3,1990.4,1990.5,1990.6,1990.7,1990.8,1990.9,1990.10] || 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))*.
% 22.59/20.76 2075[0:SpL:30.0,663.0] || 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))*.
% 22.59/20.76 2078(e)[0:ArS:2075.0] || 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))*.
% 22.59/20.76 2092[0:SpL:30.0,694.0] || 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))*.
% 22.59/20.76 2095(e)[0:ArS:2092.0] || 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))*.
% 22.59/20.76 2105[7:Spt:2041.11] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2108(e)[7:OCE:2105.0,33.0] || -> .
% 22.59/20.76 2113[7:Spt:2108.0,2041.11,2105.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2114[7:Spt:2108.0,2041.0,2041.1,2041.2,2041.3,2041.4,2041.5,2041.6,2041.7,2041.8,2041.9,2041.10] || 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))*.
% 22.59/20.76 2126[0:SpL:30.0,727.0] || 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))*.
% 22.59/20.76 2129(e)[0:ArS:2126.0] || 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))*.
% 22.59/20.76 2146[0:SpL:30.0,745.0] || 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))*.
% 22.59/20.76 2149(e)[0:ArS:2146.0] || 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))*.
% 22.59/20.76 2166[8:Spt:2095.11] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2169(e)[8:OCE:2166.0,33.0] || -> .
% 22.59/20.76 2174[8:Spt:2169.0,2095.11,2166.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2175[8:Spt:2169.0,2095.0,2095.1,2095.2,2095.3,2095.4,2095.5,2095.6,2095.7,2095.8,2095.9,2095.10] || 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))*.
% 22.59/20.76 2223[9:Spt:2149.11] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2226(e)[9:OCE:2223.0,33.0] || -> .
% 22.59/20.76 2231[9:Spt:2226.0,2149.11,2223.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2232[9:Spt:2226.0,2149.0,2149.1,2149.2,2149.3,2149.4,2149.5,2149.6,2149.7,2149.8,2149.9,2149.10] || 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))*.
% 22.59/20.76 2275[10:Spt:2078.11] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2278(e)[10:OCE:2275.0,33.0] || -> .
% 22.59/20.76 2283[10:Spt:2278.0,2078.11,2275.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2284[10:Spt:2278.0,2078.0,2078.1,2078.2,2078.3,2078.4,2078.5,2078.6,2078.7,2078.8,2078.9,2078.10] || 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))*.
% 22.59/20.76 2348[11:Spt:2129.11] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2351(e)[11:OCE:2348.0,33.0] || -> .
% 22.59/20.76 2356[11:Spt:2351.0,2129.11,2348.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2357[11:Spt:2351.0,2129.0,2129.1,2129.2,2129.3,2129.4,2129.5,2129.6,2129.7,2129.8,2129.9,2129.10] || 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))*.
% 22.59/20.76 2399[12:Spt:1974.11] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2402(e)[12:OCE:2399.0,33.0] || -> .
% 22.59/20.76 2407[12:Spt:2402.0,1974.11,2399.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2408[12:Spt:2402.0,1974.0,1974.1,1974.2,1974.3,1974.4,1974.5,1974.6,1974.7,1974.8,1974.9,1974.10] || 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))*.
% 22.59/20.76 2462[13:Spt:2025.11] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2465(e)[13:OCE:2462.0,33.0] || -> .
% 22.59/20.76 2470[13:Spt:2465.0,2025.11,2462.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2471[13:Spt:2465.0,2025.0,2025.1,2025.2,2025.3,2025.4,2025.5,2025.6,2025.7,2025.8,2025.9,2025.10] || 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))*.
% 22.59/20.76 2514[14:Spt:1921.11] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2517(e)[14:OCE:2514.0,33.0] || -> .
% 22.59/20.76 2522[14:Spt:2517.0,1921.11,2514.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2523[14:Spt:2517.0,1921.0,1921.1,1921.2,1921.3,1921.4,1921.5,1921.6,1921.7,1921.8,1921.9,1921.10] || 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))*.
% 22.59/20.76 2640[0:SpL:29.0,619.0] || equal(2,2) equal(a(U),10) equal(a(V),4)** equal(b(W),5)** equal(a(W),12) -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 22.59/20.76 2641[0:ArS:2640.0] || equal(a(U),10)+ equal(a(V),4)** equal(b(W),5)** equal(a(W),12) -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 22.59/20.76 2647[0:SpL:30.0,2641.0] || equal(10,10) equal(a(U),4)** equal(b(V),5)** equal(a(V),12) -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 22.59/20.76 2650[0:ArS:2647.0] || equal(a(U),4)** equal(b(V),5)** equal(a(V),12) -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 22.59/20.76 2651(e)[0:MRR:2650.3,14.0] || equal(a(U),4)** equal(b(V),5)** equal(a(V),12) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 22.59/20.76 2654[15:Spt:2651.8] || -> lesseq(z1,z2)*.
% 22.59/20.76 2657(e)[15:OCE:2654.0,9.0] || -> .
% 22.59/20.76 2660[15:Spt:2657.0,2651.8,2654.0] || lesseq(z1,z2)* -> .
% 22.59/20.76 2661(e)[15:Spt:2657.0,2651.0,2651.1,2651.2,2651.3,2651.4,2651.5,2651.6,2651.7,2651.9] || equal(a(U),4)** equal(b(V),5)** equal(a(V),12) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 22.59/20.76 2663[16:Spt:2661.8] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2666(e)[16:OCE:2663.0,33.0] || -> .
% 22.59/20.76 2671[16:Spt:2666.0,2661.8,2663.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2672[16:Spt:2666.0,2661.0,2661.1,2661.2,2661.3,2661.4,2661.5,2661.6,2661.7] || equal(a(U),4)**+ equal(b(V),5)** equal(a(V),12) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 22.59/20.76 2706[0:SpL:29.0,635.0] || equal(2,2) 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))*.
% 22.59/20.76 2707[0:ArS:2706.0] || 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))*.
% 22.59/20.76 2720[0:SpL:30.0,2707.0] || 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))*.
% 22.59/20.76 2723[0:ArS:2720.0] || 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))*.
% 22.59/20.76 2724(e)[0:MRR:2723.3,14.0] || 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))*.
% 22.59/20.76 2735[17:Spt:2724.8] || -> lesseq(z1,z2)*.
% 22.59/20.76 2738(e)[17:OCE:2735.0,9.0] || -> .
% 22.59/20.76 2741[17:Spt:2738.0,2724.8,2735.0] || lesseq(z1,z2)* -> .
% 22.59/20.76 2742(e)[17:Spt:2738.0,2724.0,2724.1,2724.2,2724.3,2724.4,2724.5,2724.6,2724.7,2724.9] || 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))*.
% 22.59/20.76 2744[18:Spt:2742.8] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2747(e)[18:OCE:2744.0,33.0] || -> .
% 22.59/20.76 2752[18:Spt:2747.0,2742.8,2744.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2753[18:Spt:2747.0,2742.0,2742.1,2742.2,2742.3,2742.4,2742.5,2742.6,2742.7] || 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)*.
% 22.59/20.76 2792[0:SpL:29.0,656.0] || equal(2,2) 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))*.
% 22.59/20.76 2793[0:ArS:2792.0] || 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))*.
% 22.59/20.76 2801[0:SpL:30.0,2793.0] || 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))*.
% 22.59/20.76 2804[0:ArS:2801.0] || 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))*.
% 22.59/20.76 2805(e)[0:MRR:2804.3,14.0] || equal(a(U),6)** equal(b(V),5)** equal(a(V),12) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 22.59/20.76 2808[19:Spt:2805.8] || -> lesseq(z1,z2)*.
% 22.59/20.76 2811(e)[19:OCE:2808.0,9.0] || -> .
% 22.59/20.76 2814[19:Spt:2811.0,2805.8,2808.0] || lesseq(z1,z2)* -> .
% 22.59/20.76 2815(e)[19:Spt:2811.0,2805.0,2805.1,2805.2,2805.3,2805.4,2805.5,2805.6,2805.7,2805.9] || 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))*.
% 22.59/20.76 2817[20:Spt:2815.8] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2820(e)[20:OCE:2817.0,33.0] || -> .
% 22.59/20.76 2825[20:Spt:2820.0,2815.8,2817.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2826[20:Spt:2820.0,2815.0,2815.1,2815.2,2815.3,2815.4,2815.5,2815.6,2815.7] || 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)*.
% 22.59/20.76 2860[0:SpL:29.0,673.0] || equal(2,2) 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))*.
% 22.59/20.76 2861[0:ArS:2860.0] || 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))*.
% 22.59/20.76 2874[0:SpL:30.0,2861.0] || 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))*.
% 22.59/20.76 2877[0:ArS:2874.0] || 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))*.
% 22.59/20.76 2878(e)[0:MRR:2877.3,14.0] || 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))*.
% 22.59/20.76 2889[21:Spt:2878.8] || -> lesseq(z1,z2)*.
% 22.59/20.76 2892(e)[21:OCE:2889.0,9.0] || -> .
% 22.59/20.76 2895[21:Spt:2892.0,2878.8,2889.0] || lesseq(z1,z2)* -> .
% 22.59/20.76 2896(e)[21:Spt:2892.0,2878.0,2878.1,2878.2,2878.3,2878.4,2878.5,2878.6,2878.7,2878.9] || 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))*.
% 22.59/20.76 2898[22:Spt:2896.8] || -> lesseq(3,b(z2))*.
% 22.59/20.76 2901(e)[22:OCE:2898.0,33.0] || -> .
% 22.59/20.76 2906[22:Spt:2901.0,2896.8,2898.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 2907[22:Spt:2901.0,2896.0,2896.1,2896.2,2896.3,2896.4,2896.5,2896.6,2896.7] || 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)*.
% 22.59/20.76 3348[0:SpL:29.0,634.0] || equal(2,2) 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))*.
% 22.59/20.76 3349[0:ArS:3348.0] || 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))*.
% 22.59/20.76 3355[0:SpL:30.0,3349.0] || 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))*.
% 22.59/20.76 3358[0:ArS:3355.0] || 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))*.
% 22.59/20.76 3359(e)[0:MRR:3358.3,14.0] || 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))*.
% 22.59/20.76 3365[0:SpL:29.0,651.0] || equal(2,2) 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))*.
% 22.59/20.76 3366[0:ArS:3365.0] || 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))*.
% 22.59/20.76 3370[23:Spt:3359.8] || -> lesseq(z1,z2)*.
% 22.59/20.76 3373(e)[23:OCE:3370.0,9.0] || -> .
% 22.59/20.76 3376[23:Spt:3373.0,3359.8,3370.0] || lesseq(z1,z2)* -> .
% 22.59/20.76 3377(e)[23:Spt:3373.0,3359.0,3359.1,3359.2,3359.3,3359.4,3359.5,3359.6,3359.7,3359.9] || 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))*.
% 22.59/20.76 3385[24:Spt:3377.8] || -> lesseq(3,b(z2))*.
% 22.59/20.76 3388(e)[24:OCE:3385.0,33.0] || -> .
% 22.59/20.76 3393[24:Spt:3388.0,3377.8,3385.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 3394[24:Spt:3388.0,3377.0,3377.1,3377.2,3377.3,3377.4,3377.5,3377.6,3377.7] || 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)*.
% 22.59/20.76 3436[0:SpL:29.0,653.0] || equal(2,2) 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))*.
% 22.59/20.76 3437[0:ArS:3436.0] || 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))*.
% 22.59/20.76 3449[0:SpL:30.0,3366.0] || 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))*.
% 22.59/20.76 3452[0:ArS:3449.0] || 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))*.
% 22.59/20.76 3453(e)[0:MRR:3452.3,14.0] || 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))*.
% 22.59/20.76 3456[25:Spt:3453.8] || -> lesseq(z1,z2)*.
% 22.59/20.76 3459(e)[25:OCE:3456.0,9.0] || -> .
% 22.59/20.76 3462[25:Spt:3459.0,3453.8,3456.0] || lesseq(z1,z2)* -> .
% 22.59/20.76 3463(e)[25:Spt:3459.0,3453.0,3453.1,3453.2,3453.3,3453.4,3453.5,3453.6,3453.7,3453.9] || 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))*.
% 22.59/20.76 3465[26:Spt:3463.8] || -> lesseq(3,b(z2))*.
% 22.59/20.76 3468(e)[26:OCE:3465.0,33.0] || -> .
% 22.59/20.76 3473[26:Spt:3468.0,3463.8,3465.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 3474[26:Spt:3468.0,3463.0,3463.1,3463.2,3463.3,3463.4,3463.5,3463.6,3463.7] || 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)*.
% 22.59/20.76 3530[0:SpL:30.0,3437.0] || 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))*.
% 22.59/20.76 3533[0:ArS:3530.0] || 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))*.
% 22.59/20.76 3534(e)[0:MRR:3533.3,14.0] || equal(a(U),5)** equal(b(V),5)** equal(a(V),1) -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 22.59/20.76 3537[27:Spt:3534.8] || -> lesseq(z1,z2)*.
% 22.59/20.76 3540(e)[27:OCE:3537.0,9.0] || -> .
% 22.59/20.76 3543[27:Spt:3540.0,3534.8,3537.0] || lesseq(z1,z2)* -> .
% 22.59/20.76 3544(e)[27:Spt:3540.0,3534.0,3534.1,3534.2,3534.3,3534.4,3534.5,3534.6,3534.7,3534.9] || 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))*.
% 22.59/20.76 3546[28:Spt:3544.8] || -> lesseq(3,b(z2))*.
% 22.59/20.76 3549(e)[28:OCE:3546.0,33.0] || -> .
% 22.59/20.76 3554[28:Spt:3549.0,3544.8,3546.0] || lesseq(3,b(z2))* -> .
% 22.59/20.76 3555[28:Spt:3549.0,3544.0,3544.1,3544.2,3544.3,3544.4,3544.5,3544.6,3544.7] || 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)*.
% 22.59/20.76 3558[28:SpL:31.0,3555.0] || 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).
% 22.59/20.76 3563[28:ArS:3558.0] || equal(b(U),5)** equal(a(U),1) -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 22.59/20.76 3564[28:MRR:3563.2,3563.5,15.0,19.0] || equal(b(U),5)** equal(a(U),1) -> equal(z1,U) equal(z2,U) equal(z3,U).
% 22.59/20.76 3587[28:SpL:34.0,3564.0] || equal(5,5) equal(a(z4),1)** -> equal(z4,z1) equal(z4,z2) equal(z4,z3).
% 22.59/20.76 3589[28:ArS:3587.0] || equal(a(z4),1)** -> equal(z4,z1) equal(z4,z2) equal(z4,z3).
% 22.59/20.76 3590[28:Rew:32.0,3589.0] || equal(1,1) -> equal(z4,z1) equal(z4,z2) equal(z4,z3)**.
% 22.59/20.76 3591[28:ArS:3590.0] || -> equal(z4,z1) equal(z4,z2) equal(z4,z3)**.
% 22.59/20.76 3592(e)[28:MRR:3591.0,3591.1,3591.2,16.0,20.0,23.0] || -> .
% 22.59/20.76
% 22.59/20.76 % SZS output end CNFRefutation for /tmp/SPASST_14441_n017.cluster.edu
% 22.59/20.76
% 22.59/20.76 Formulae used in the proof : fof_z1_type fof_0
% 22.69/20.83
% 22.69/20.83 SPASS+T ended
%------------------------------------------------------------------------------