TSTP Solution File: SWW037_1 by SPASS+T---2.2.22
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : SWW037_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n026.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 01:29:31 EDT 2022
% Result : Theorem 16.36s 15.66s
% Output : Refutation 16.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW037_1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.12 % Command : spasst-tptp-script %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 4 21:01:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.51 % Using integer theory
% 16.36/15.66
% 16.36/15.66
% 16.36/15.66 % SZS status Theorem for /tmp/SPASST_19277_n026.cluster.edu
% 16.36/15.66
% 16.36/15.66 SPASS V 2.2.22 in combination with yices.
% 16.36/15.66 SPASS beiseite: Proof found by SPASS.
% 16.36/15.66 Problem: /tmp/SPASST_19277_n026.cluster.edu
% 16.36/15.66 SPASS derived 852 clauses, backtracked 205 clauses and kept 818 clauses.
% 16.36/15.66 SPASS backtracked 23 times (0 times due to theory inconsistency).
% 16.36/15.66 SPASS allocated 11709 KBytes.
% 16.36/15.66 SPASS spent 0:00:02.03 on the problem.
% 16.36/15.66 0:00:00.14 for the input.
% 16.36/15.66 0:00:00.98 for the FLOTTER CNF translation.
% 16.36/15.66 0:00:00.03 for inferences.
% 16.36/15.66 0:00:00.00 for the backtracking.
% 16.36/15.66 0:00:00.71 for the reduction.
% 16.36/15.66 0:00:00.04 for interacting with the SMT procedure.
% 16.36/15.66
% 16.36/15.66
% 16.36/15.66 % SZS output start CNFRefutation for /tmp/SPASST_19277_n026.cluster.edu
% 16.36/15.66
% 16.36/15.66 % Here is a proof with depth 6, length 192 :
% 16.36/15.66 9[0:Inp] || -> less(z2,z1)*.
% 16.36/15.66 14[0:Inp] || equal(z2,z1)** -> .
% 16.36/15.66 15[0:Inp] || equal(z3,z1)** -> .
% 16.36/15.66 17[0:Inp] || equal(z5,z1)** -> .
% 16.36/15.66 19[0:Inp] || equal(z3,z2)** -> .
% 16.36/15.66 21[0:Inp] || equal(z5,z2)** -> .
% 16.36/15.66 24[0:Inp] || equal(z5,z3)** -> .
% 16.36/15.66 29[0:Inp] || -> equal(a(z1),2)**.
% 16.36/15.66 30[0:Inp] || -> equal(a(z2),10)**.
% 16.36/15.66 31[0:Inp] || -> equal(a(z3),6)**.
% 16.36/15.66 33[0:Inp] || -> equal(a(z5),1)**.
% 16.36/15.66 34[0:Inp] || -> less(b(z2),3)*.
% 16.36/15.66 35[0:Inp] || -> equal(b(z5),5)**.
% 16.36/15.66 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).
% 16.36/15.66 135[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).
% 16.36/15.66 151[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).
% 16.36/15.66 172[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).
% 16.36/15.66 179[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).
% 16.36/15.66 189[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).
% 16.36/15.66 195[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).
% 16.36/15.66 196[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).
% 16.36/15.66 207[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).
% 16.36/15.66 209[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).
% 16.36/15.66 210[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).
% 16.36/15.66 223[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).
% 16.36/15.66 224[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).
% 16.36/15.66 225[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).
% 16.36/15.66 243[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).
% 16.36/15.66 244[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).
% 16.36/15.66 261[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).
% 16.36/15.66 497[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))*.
% 16.36/15.66 568[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))*.
% 16.36/15.66 584[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))*.
% 16.36/15.66 605[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))*.
% 16.36/15.66 612[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))*.
% 16.36/15.66 622[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))*.
% 16.36/15.66 628[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))*.
% 16.36/15.66 629[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))*.
% 16.36/15.66 640[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))*.
% 16.36/15.66 642[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))*.
% 16.36/15.66 643[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))*.
% 16.36/15.66 656[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))*.
% 16.36/15.66 657[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))*.
% 16.36/15.66 658[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))*.
% 16.36/15.66 676[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))*.
% 16.36/15.66 677[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))*.
% 16.36/15.66 694[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))*.
% 16.36/15.66 1162[0:SpL:29.0,497.0] || 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))*.
% 16.36/15.66 1163[0:ArS:1162.0] || 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))*.
% 16.36/15.66 1171[0:SpL:30.0,1163.0] || 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))*.
% 16.36/15.66 1174[0:ArS:1171.0] || equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 16.36/15.66 1175(e)[0:MRR:1174.2,14.0] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 16.36/15.66 1181[1:Spt:1175.4] || -> lesseq(z1,z2)*.
% 16.36/15.66 1184(e)[1:OCE:1181.0,9.0] || -> .
% 16.36/15.66 1187[1:Spt:1184.0,1175.4,1181.0] || lesseq(z1,z2)* -> .
% 16.36/15.66 1188(e)[1:Spt:1184.0,1175.0,1175.1,1175.2,1175.3,1175.5] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(3,b(z2))*.
% 16.36/15.66 1191[2:Spt:1188.4] || -> lesseq(3,b(z2))*.
% 16.36/15.66 1194(e)[2:OCE:1191.0,34.0] || -> .
% 16.36/15.66 1199[2:Spt:1194.0,1188.4,1191.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 1200[2:Spt:1194.0,1188.0,1188.1,1188.2,1188.3] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U).
% 16.36/15.66 1701[0:SpL:30.0,628.0] || 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))*.
% 16.36/15.66 1704(e)[0:ArS:1701.0] || 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))*.
% 16.36/15.66 1711[0:SpL:30.0,629.0] || 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))*.
% 16.36/15.66 1714(e)[0:ArS:1711.0] || 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))*.
% 16.36/15.66 1718[3:Spt:1704.11] || -> lesseq(3,b(z2))*.
% 16.36/15.66 1721(e)[3:OCE:1718.0,34.0] || -> .
% 16.36/15.66 1726[3:Spt:1721.0,1704.11,1718.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 1727[3:Spt:1721.0,1704.0,1704.1,1704.2,1704.3,1704.4,1704.5,1704.6,1704.7,1704.8,1704.9,1704.10] || 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))*.
% 16.36/15.66 1746[0:SpL:30.0,640.0] || 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))*.
% 16.36/15.66 1749(e)[0:ArS:1746.0] || 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))*.
% 16.36/15.66 1753[4:Spt:1714.11] || -> lesseq(3,b(z2))*.
% 16.36/15.66 1756(e)[4:OCE:1753.0,34.0] || -> .
% 16.36/15.66 1761[4:Spt:1756.0,1714.11,1753.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 1762[4:Spt:1756.0,1714.0,1714.1,1714.2,1714.3,1714.4,1714.5,1714.6,1714.7,1714.8,1714.9,1714.10] || 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))*.
% 16.36/15.66 1780[0:SpL:30.0,642.0] || 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))*.
% 16.36/15.66 1783(e)[0:ArS:1780.0] || 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))*.
% 16.36/15.66 1787[5:Spt:1749.11] || -> lesseq(3,b(z2))*.
% 16.36/15.66 1790(e)[5:OCE:1787.0,34.0] || -> .
% 16.36/15.66 1795[5:Spt:1790.0,1749.11,1787.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 1796[5:Spt:1790.0,1749.0,1749.1,1749.2,1749.3,1749.4,1749.5,1749.6,1749.7,1749.8,1749.9,1749.10] || 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))*.
% 16.36/15.66 1814[0:SpL:30.0,656.0] || 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))*.
% 16.36/15.66 1817(e)[0:ArS:1814.0] || 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))*.
% 16.36/15.66 1821[6:Spt:1783.11] || -> lesseq(3,b(z2))*.
% 16.36/15.66 1824(e)[6:OCE:1821.0,34.0] || -> .
% 16.36/15.66 1829[6:Spt:1824.0,1783.11,1821.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 1830[6:Spt:1824.0,1783.0,1783.1,1783.2,1783.3,1783.4,1783.5,1783.6,1783.7,1783.8,1783.9,1783.10] || 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))*.
% 16.36/15.66 1848[0:SpL:30.0,658.0] || 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))*.
% 16.36/15.66 1851(e)[0:ArS:1848.0] || 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))*.
% 16.36/15.66 1855[7:Spt:1817.11] || -> lesseq(3,b(z2))*.
% 16.36/15.66 1858(e)[7:OCE:1855.0,34.0] || -> .
% 16.36/15.66 1863[7:Spt:1858.0,1817.11,1855.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 1864[7:Spt:1858.0,1817.0,1817.1,1817.2,1817.3,1817.4,1817.5,1817.6,1817.7,1817.8,1817.9,1817.10] || 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))*.
% 16.36/15.66 1882[0:SpL:30.0,657.0] || 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))*.
% 16.36/15.66 1885(e)[0:ArS:1882.0] || 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))*.
% 16.36/15.66 1889[8:Spt:1851.11] || -> lesseq(3,b(z2))*.
% 16.36/15.66 1892(e)[8:OCE:1889.0,34.0] || -> .
% 16.36/15.66 1897[8:Spt:1892.0,1851.11,1889.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 1898[8:Spt:1892.0,1851.0,1851.1,1851.2,1851.3,1851.4,1851.5,1851.6,1851.7,1851.8,1851.9,1851.10] || equal(a(U),8)+ equal(a(V),1) equal(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))*.
% 16.36/15.66 1916[0:SpL:30.0,677.0] || 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))*.
% 16.36/15.66 1919(e)[0:ArS:1916.0] || 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))*.
% 16.36/15.66 1923[9:Spt:1885.11] || -> lesseq(3,b(z2))*.
% 16.36/15.66 1926(e)[9:OCE:1923.0,34.0] || -> .
% 16.36/15.66 1931[9:Spt:1926.0,1885.11,1923.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 1932[9:Spt:1926.0,1885.0,1885.1,1885.2,1885.3,1885.4,1885.5,1885.6,1885.7,1885.8,1885.9,1885.10] || 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))*.
% 16.36/15.66 1950[0:SpL:30.0,612.0] || 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))*.
% 16.36/15.66 1953(e)[0:ArS:1950.0] || 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))*.
% 16.36/15.66 1957[10:Spt:1919.11] || -> lesseq(3,b(z2))*.
% 16.36/15.66 1960(e)[10:OCE:1957.0,34.0] || -> .
% 16.36/15.66 1965[10:Spt:1960.0,1919.11,1957.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 1966[10:Spt:1960.0,1919.0,1919.1,1919.2,1919.3,1919.4,1919.5,1919.6,1919.7,1919.8,1919.9,1919.10] || 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))*.
% 16.36/15.66 1984[0:SpL:30.0,643.0] || 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))*.
% 16.36/15.66 1987(e)[0:ArS:1984.0] || 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))*.
% 16.36/15.66 1991[11:Spt:1953.11] || -> lesseq(3,b(z2))*.
% 16.36/15.66 1994(e)[11:OCE:1991.0,34.0] || -> .
% 16.36/15.66 1999[11:Spt:1994.0,1953.11,1991.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 2000[11:Spt:1994.0,1953.0,1953.1,1953.2,1953.3,1953.4,1953.5,1953.6,1953.7,1953.8,1953.9,1953.10] || 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))*.
% 16.36/15.66 2018[0:SpL:30.0,676.0] || 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))*.
% 16.36/15.66 2021(e)[0:ArS:2018.0] || 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))*.
% 16.36/15.66 2025[12:Spt:1987.11] || -> lesseq(3,b(z2))*.
% 16.36/15.66 2028(e)[12:OCE:2025.0,34.0] || -> .
% 16.36/15.66 2033[12:Spt:2028.0,1987.11,2025.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 2034[12:Spt:2028.0,1987.0,1987.1,1987.2,1987.3,1987.4,1987.5,1987.6,1987.7,1987.8,1987.9,1987.10] || 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))*.
% 16.36/15.66 2052[0:SpL:30.0,694.0] || 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))*.
% 16.36/15.66 2055(e)[0:ArS:2052.0] || 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))*.
% 16.36/15.66 2059[13:Spt:2021.11] || -> lesseq(3,b(z2))*.
% 16.36/15.66 2062(e)[13:OCE:2059.0,34.0] || -> .
% 16.36/15.66 2067[13:Spt:2062.0,2021.11,2059.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 2068[13:Spt:2062.0,2021.0,2021.1,2021.2,2021.3,2021.4,2021.5,2021.6,2021.7,2021.8,2021.9,2021.10] || 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))*.
% 16.36/15.66 2087[14:Spt:2055.11] || -> lesseq(3,b(z2))*.
% 16.36/15.66 2090(e)[14:OCE:2087.0,34.0] || -> .
% 16.36/15.66 2095[14:Spt:2090.0,2055.11,2087.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 2096[14:Spt:2090.0,2055.0,2055.1,2055.2,2055.3,2055.4,2055.5,2055.6,2055.7,2055.8,2055.9,2055.10] || 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))*.
% 16.36/15.66 2281[0:SpL:29.0,568.0] || 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))*.
% 16.36/15.66 2282[0:ArS:2281.0] || 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))*.
% 16.36/15.66 2290[0:SpL:30.0,2282.0] || 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))*.
% 16.36/15.66 2293[0:ArS:2290.0] || 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))*.
% 16.36/15.66 2294(e)[0:MRR:2293.3,14.0] || 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))*.
% 16.36/15.66 2298[15:Spt:2294.8] || -> lesseq(z1,z2)*.
% 16.36/15.66 2301(e)[15:OCE:2298.0,9.0] || -> .
% 16.36/15.66 2304[15:Spt:2301.0,2294.8,2298.0] || lesseq(z1,z2)* -> .
% 16.36/15.66 2305(e)[15:Spt:2301.0,2294.0,2294.1,2294.2,2294.3,2294.4,2294.5,2294.6,2294.7,2294.9] || 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))*.
% 16.36/15.66 2311[16:Spt:2305.8] || -> lesseq(3,b(z2))*.
% 16.36/15.66 2314(e)[16:OCE:2311.0,34.0] || -> .
% 16.36/15.66 2319[16:Spt:2314.0,2305.8,2311.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 2320[16:Spt:2314.0,2305.0,2305.1,2305.2,2305.3,2305.4,2305.5,2305.6,2305.7] || 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)*.
% 16.36/15.66 2359[0:SpL:29.0,584.0] || 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))*.
% 16.36/15.66 2360[0:ArS:2359.0] || 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))*.
% 16.36/15.66 2368[0:SpL:30.0,2360.0] || 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))*.
% 16.36/15.66 2371[0:ArS:2368.0] || 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))*.
% 16.36/15.66 2372(e)[0:MRR:2371.3,14.0] || 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))*.
% 16.36/15.66 2376[17:Spt:2372.8] || -> lesseq(z1,z2)*.
% 16.36/15.66 2379(e)[17:OCE:2376.0,9.0] || -> .
% 16.36/15.66 2382[17:Spt:2379.0,2372.8,2376.0] || lesseq(z1,z2)* -> .
% 16.36/15.66 2383(e)[17:Spt:2379.0,2372.0,2372.1,2372.2,2372.3,2372.4,2372.5,2372.6,2372.7,2372.9] || 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))*.
% 16.36/15.66 2386[18:Spt:2383.8] || -> lesseq(3,b(z2))*.
% 16.36/15.66 2389(e)[18:OCE:2386.0,34.0] || -> .
% 16.36/15.66 2394[18:Spt:2389.0,2383.8,2386.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 2395[18:Spt:2389.0,2383.0,2383.1,2383.2,2383.3,2383.4,2383.5,2383.6,2383.7] || 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)*.
% 16.36/15.66 2444[0:SpL:29.0,605.0] || 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))*.
% 16.36/15.66 2445[0:ArS:2444.0] || 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))*.
% 16.36/15.66 2463[0:SpL:30.0,2445.0] || 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))*.
% 16.36/15.66 2466[0:ArS:2463.0] || 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))*.
% 16.36/15.66 2467(e)[0:MRR:2466.3,14.0] || 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))*.
% 16.36/15.66 2471[19:Spt:2467.8] || -> lesseq(z1,z2)*.
% 16.36/15.66 2474(e)[19:OCE:2471.0,9.0] || -> .
% 16.36/15.66 2477[19:Spt:2474.0,2467.8,2471.0] || lesseq(z1,z2)* -> .
% 16.36/15.66 2478(e)[19:Spt:2474.0,2467.0,2467.1,2467.2,2467.3,2467.4,2467.5,2467.6,2467.7,2467.9] || 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))*.
% 16.36/15.66 2481[20:Spt:2478.8] || -> lesseq(3,b(z2))*.
% 16.36/15.66 2484(e)[20:OCE:2481.0,34.0] || -> .
% 16.36/15.66 2489[20:Spt:2484.0,2478.8,2481.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 2490[20:Spt:2484.0,2478.0,2478.1,2478.2,2478.3,2478.4,2478.5,2478.6,2478.7] || 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)*.
% 16.36/15.66 2512[0:SpL:29.0,622.0] || 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))*.
% 16.36/15.66 2513[0:ArS:2512.0] || 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))*.
% 16.36/15.66 2533[0:SpL:30.0,2513.0] || 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))*.
% 16.36/15.66 2536[0:ArS:2533.0] || 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))*.
% 16.36/15.66 2537(e)[0:MRR:2536.3,14.0] || 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))*.
% 16.36/15.66 2551[21:Spt:2537.8] || -> lesseq(z1,z2)*.
% 16.36/15.66 2554(e)[21:OCE:2551.0,9.0] || -> .
% 16.36/15.66 2557[21:Spt:2554.0,2537.8,2551.0] || lesseq(z1,z2)* -> .
% 16.36/15.66 2558(e)[21:Spt:2554.0,2537.0,2537.1,2537.2,2537.3,2537.4,2537.5,2537.6,2537.7,2537.9] || 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))*.
% 16.36/15.66 2561[22:Spt:2558.8] || -> lesseq(3,b(z2))*.
% 16.36/15.66 2564(e)[22:OCE:2561.0,34.0] || -> .
% 16.36/15.66 2569[22:Spt:2564.0,2558.8,2561.0] || lesseq(3,b(z2))* -> .
% 16.36/15.66 2570[22:Spt:2564.0,2558.0,2558.1,2558.2,2558.3,2558.4,2558.5,2558.6,2558.7] || 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)*.
% 16.36/15.66 2574[22:SpL:31.0,2570.0] || equal(6,6) equal(b(U),5)** equal(a(U),1) -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 16.36/15.66 2579[22:ArS:2574.0] || equal(b(U),5)** equal(a(U),1) -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 16.36/15.66 2580[22:MRR:2579.2,2579.5,15.0,19.0] || equal(b(U),5)** equal(a(U),1) -> equal(z1,U) equal(z2,U) equal(z3,U).
% 16.36/15.66 2584[22:SpL:35.0,2580.0] || equal(5,5) equal(a(z5),1)** -> equal(z5,z1) equal(z5,z2) equal(z5,z3).
% 16.36/15.66 2585[22:ArS:2584.0] || equal(a(z5),1)** -> equal(z5,z1) equal(z5,z2) equal(z5,z3).
% 16.36/15.66 2586[22:Rew:33.0,2585.0] || equal(1,1) -> equal(z5,z1) equal(z5,z2) equal(z5,z3)**.
% 16.36/15.66 2587[22:ArS:2586.0] || -> equal(z5,z1) equal(z5,z2) equal(z5,z3)**.
% 16.36/15.66 2588(e)[22:MRR:2587.0,2587.1,2587.2,17.0,21.0,24.0] || -> .
% 16.36/15.66
% 16.36/15.66 % SZS output end CNFRefutation for /tmp/SPASST_19277_n026.cluster.edu
% 16.36/15.66
% 16.36/15.66 Formulae used in the proof : fof_z1_type fof_0
% 16.44/15.69
% 16.44/15.69 SPASS+T ended
%------------------------------------------------------------------------------