TSTP Solution File: SWC306+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC306+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 : Tue Jul 19 22:03:11 EDT 2022
% Result : Theorem 64.42s 64.65s
% Output : Refutation 73.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC306+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 12 03:40:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 64.42/64.65
% 64.42/64.65 SPASS V 3.9
% 64.42/64.65 SPASS beiseite: Proof found.
% 64.42/64.65 % SZS status Theorem
% 64.42/64.65 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.42/64.65 SPASS derived 26113 clauses, backtracked 11144 clauses, performed 58 splits and kept 15281 clauses.
% 64.42/64.65 SPASS allocated 138895 KBytes.
% 64.42/64.65 SPASS spent 0:01:04.22 on the problem.
% 64.42/64.65 0:00:00.04 for the input.
% 64.42/64.65 0:00:00.06 for the FLOTTER CNF translation.
% 64.42/64.65 0:00:00.43 for inferences.
% 64.42/64.65 0:00:03.17 for the backtracking.
% 64.42/64.65 0:01:00.09 for the reduction.
% 64.42/64.65
% 64.42/64.65
% 64.42/64.65 Here is a proof with depth 8, length 439 :
% 64.42/64.65 % SZS output start Refutation
% 64.42/64.65 1[0:Inp] || -> ssList(skc15)*.
% 64.42/64.65 2[0:Inp] || -> ssList(skc14)*.
% 64.42/64.65 3[0:Inp] || -> ssList(skc13)*.
% 64.42/64.65 4[0:Inp] || -> ssItem(skc12)*.
% 64.42/64.65 5[0:Inp] || -> ssItem(skc11)*.
% 64.42/64.65 7[0:Inp] || -> ssList(skc9)*.
% 64.42/64.65 8[0:Inp] || -> ssItem(skc17)*.
% 64.42/64.65 9[0:Inp] || -> ssItem(skc16)*.
% 64.42/64.65 10[0:Inp] || -> ssList(nil)*.
% 64.42/64.65 11[0:Inp] || -> cyclefreeP(nil)*.
% 64.42/64.65 12[0:Inp] || -> totalorderP(nil)*.
% 64.42/64.65 13[0:Inp] || -> strictorderP(nil)*.
% 64.42/64.65 14[0:Inp] || -> totalorderedP(nil)*.
% 64.42/64.65 15[0:Inp] || -> strictorderedP(nil)*.
% 64.42/64.65 16[0:Inp] || -> duplicatefreeP(nil)*.
% 64.42/64.65 17[0:Inp] || -> equalelemsP(nil)*.
% 64.42/64.65 19[0:Inp] || -> ssItem(skf47(u))*.
% 64.42/64.65 20[0:Inp] || -> ssList(skf56(u))*.
% 64.42/64.65 21[0:Inp] || -> ssList(skf55(u))*.
% 64.42/64.65 22[0:Inp] || -> ssList(skf54(u))*.
% 64.42/64.65 23[0:Inp] || -> ssItem(skf53(u))*.
% 64.42/64.65 24[0:Inp] || -> ssItem(skf52(u))*.
% 64.42/64.65 25[0:Inp] || -> ssList(skf61(u))*.
% 64.42/64.65 26[0:Inp] || -> ssList(skf60(u))*.
% 64.42/64.65 27[0:Inp] || -> ssList(skf59(u))*.
% 64.42/64.65 28[0:Inp] || -> ssItem(skf58(u))*.
% 64.42/64.65 29[0:Inp] || -> ssItem(skf57(u))*.
% 64.42/64.65 30[0:Inp] || -> ssList(skf66(u))*.
% 64.42/64.65 31[0:Inp] || -> ssList(skf65(u))*.
% 64.42/64.65 32[0:Inp] || -> ssList(skf64(u))*.
% 64.42/64.65 33[0:Inp] || -> ssItem(skf63(u))*.
% 64.42/64.65 34[0:Inp] || -> ssItem(skf62(u))*.
% 64.42/64.65 35[0:Inp] || -> ssList(skf71(u))*.
% 64.42/64.65 36[0:Inp] || -> ssList(skf70(u))*.
% 64.42/64.65 37[0:Inp] || -> ssList(skf69(u))*.
% 64.42/64.65 38[0:Inp] || -> ssItem(skf68(u))*.
% 64.42/64.65 39[0:Inp] || -> ssItem(skf67(u))*.
% 64.42/64.65 40[0:Inp] || -> ssList(skf76(u))*.
% 64.42/64.65 41[0:Inp] || -> ssList(skf75(u))*.
% 64.42/64.65 42[0:Inp] || -> ssList(skf74(u))*.
% 64.42/64.65 43[0:Inp] || -> ssItem(skf73(u))*.
% 64.42/64.65 44[0:Inp] || -> ssItem(skf72(u))*.
% 64.42/64.65 45[0:Inp] || -> ssList(skf81(u))*.
% 64.42/64.65 46[0:Inp] || -> ssList(skf80(u))*.
% 64.42/64.65 47[0:Inp] || -> ssList(skf79(u))*.
% 64.42/64.65 49[0:Inp] || -> ssItem(skf77(u))*.
% 64.42/64.65 50[0:Inp] || -> ssList(skf85(u))*.
% 64.42/64.65 51[0:Inp] || -> ssList(skf84(u))*.
% 64.42/64.65 52[0:Inp] || -> ssItem(skf83(u))*.
% 64.42/64.65 53[0:Inp] || -> ssItem(skf82(u))*.
% 64.42/64.65 57[0:Inp] || -> ssItem(skf44(u,v))*.
% 64.42/64.65 58[0:Inp] || equal(skc17,skc16)** -> .
% 64.42/64.65 62[0:Inp] || -> ssList(skf49(u,v))*.
% 64.42/64.65 68[0:Inp] ssList(u) || -> rearsegP(u,u)*.
% 64.42/64.65 74[0:Inp] || SkP0(skc10,skc9)* -> equal(nil,skc9).
% 64.42/64.65 75[0:Inp] ssItem(u) || memberP(nil,u)* -> .
% 64.42/64.65 76[0:Inp] ssItem(u) || -> cyclefreeP(cons(u,nil))*.
% 64.42/64.65 77[0:Inp] ssItem(u) || -> totalorderP(cons(u,nil))*.
% 64.42/64.65 78[0:Inp] ssItem(u) || -> strictorderP(cons(u,nil))*.
% 64.42/64.65 79[0:Inp] ssItem(u) || -> totalorderedP(cons(u,nil))*.
% 64.42/64.65 80[0:Inp] ssItem(u) || -> strictorderedP(cons(u,nil))*.
% 64.42/64.65 81[0:Inp] ssItem(u) || -> duplicatefreeP(cons(u,nil))*.
% 64.42/64.65 82[0:Inp] ssItem(u) || -> equalelemsP(cons(u,nil))*.
% 64.42/64.65 85[0:Inp] ssList(u) || -> equal(app(nil,u),u)**.
% 64.42/64.65 86[0:Inp] ssList(u) || -> equal(app(u,nil),u)**.
% 64.42/64.65 89[0:Inp] ssList(u) || -> ssItem(hd(u))* equal(nil,u).
% 64.42/64.65 90[0:Inp] ssList(u) || -> ssList(tl(u))* equal(nil,u).
% 64.42/64.65 91[0:Inp] || -> SkP0(u,v) equal(cons(skf44(u,v),nil),v)**.
% 64.42/64.65 92[0:Inp] ssList(u) || -> cyclefreeP(u) leq(skf53(u),skf52(u))*.
% 64.42/64.65 93[0:Inp] ssList(u) || -> cyclefreeP(u) leq(skf52(u),skf53(u))*.
% 64.42/64.65 94[0:Inp] ssList(u) || -> duplicatefreeP(u) equal(skf78(u),skf77(u))**.
% 64.42/64.65 95[0:Inp] ssItem(u) ssList(v) || -> ssList(cons(u,v))*.
% 64.42/64.65 96[0:Inp] ssList(u) ssList(v) || -> ssList(app(v,u))*.
% 64.42/64.65 97[0:Inp] ssList(u) || frontsegP(nil,u)* -> equal(nil,u).
% 64.42/64.65 99[0:Inp] ssList(u) || rearsegP(nil,u)* -> equal(nil,u).
% 64.42/64.65 111[0:Inp] ssList(u) singletonP(u) || -> equal(cons(skf47(u),nil),u)**.
% 64.42/64.65 113[0:Inp] ssItem(u) ssList(v) || equal(cons(u,v),v)** -> .
% 64.42/64.65 114[0:Inp] ssItem(u) ssList(v) || equal(cons(u,v),nil)** -> .
% 64.42/64.65 115[0:Inp] ssItem(u) ssList(v) || -> equal(hd(cons(u,v)),u)**.
% 64.42/64.65 116[0:Inp] ssItem(u) ssList(v) || -> equal(tl(cons(u,v)),v)**.
% 64.42/64.65 122[0:Inp] ssList(u) || -> equal(nil,u) equal(cons(hd(u),tl(u)),u)**.
% 64.42/64.65 125[0:Inp] ssList(u) ssItem(v) || equal(cons(v,nil),u)*+ -> singletonP(u)*.
% 64.42/64.65 132[0:Inp] || -> equal(app(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),skc15),skc9)**.
% 64.42/64.65 133[0:Inp] ssItem(u) ssList(v) || -> equal(app(cons(u,nil),v),cons(u,v))**.
% 64.42/64.65 134[0:Inp] ssList(u) ssList(v) || equal(app(v,u),nil)** -> equal(nil,u).
% 64.42/64.65 138[0:Inp] ssList(u) ssList(v) || -> equal(nil,v) equal(hd(app(v,u)),hd(v))**.
% 64.42/64.65 142[0:Inp] ssList(u) ssList(v) || rearsegP(v,u) -> equal(app(skf49(v,u),u),v)**.
% 64.42/64.65 143[0:Inp] ssItem(u) ssItem(v) || leq(u,v)*+ leq(v,u)* -> equal(v,u).
% 64.42/64.65 145[0:Inp] ssList(u) ssList(v) || rearsegP(u,v)*+ rearsegP(v,u)* -> equal(v,u).
% 64.42/64.65 148[0:Inp] ssList(u) ssList(v) ssList(w) || equal(app(u,w),v)*+ -> frontsegP(v,u)*.
% 64.42/64.65 149[0:Inp] ssList(u) ssList(v) ssList(w) || equal(app(w,u),v)*+ -> rearsegP(v,u)*.
% 64.42/64.65 150[0:Inp] ssList(u) || -> equalelemsP(u) equal(app(skf84(u),cons(skf82(u),cons(skf83(u),skf85(u)))),u)**.
% 64.42/64.65 152[0:Inp] ssList(u) ssList(v) ssItem(w) || memberP(u,w) -> memberP(app(v,u),w)*.
% 64.42/64.65 156[0:Inp] ssList(u) ssList(v) ssList(w) || rearsegP(w,v) -> rearsegP(app(u,w),v)*.
% 64.42/64.65 159[0:Inp] ssList(u) ssList(v) || -> equal(nil,v) equal(app(tl(v),u),tl(app(v,u)))**.
% 64.42/64.65 164[0:Inp] ssList(u) ssList(v) ssList(w) || -> equal(app(app(w,v),u),app(w,app(v,u)))**.
% 64.42/64.65 165[0:Inp] ssList(u) ssList(v) ssList(w) || equal(app(v,u),app(v,w))* -> equal(u,w).
% 64.42/64.65 166[0:Inp] ssList(u) ssList(v) ssList(w) || equal(app(u,v),app(w,v))* -> equal(u,w).
% 64.42/64.65 175[0:Inp] ssList(u) ssItem(v) ssItem(w) || memberP(cons(v,u),w)* -> memberP(u,w) equal(w,v).
% 64.42/64.65 177[0:Inp] ssList(u) || -> equal(app(app(skf79(u),cons(skf77(u),skf80(u))),cons(skf78(u),skf81(u))),u)** duplicatefreeP(u).
% 64.42/64.65 178[0:Inp] ssList(u) || -> strictorderedP(u) equal(app(app(skf74(u),cons(skf72(u),skf75(u))),cons(skf73(u),skf76(u))),u)**.
% 64.42/64.65 179[0:Inp] ssList(u) || -> totalorderedP(u) equal(app(app(skf69(u),cons(skf67(u),skf70(u))),cons(skf68(u),skf71(u))),u)**.
% 64.42/64.65 180[0:Inp] ssList(u) || -> strictorderP(u) equal(app(app(skf64(u),cons(skf62(u),skf65(u))),cons(skf63(u),skf66(u))),u)**.
% 64.42/64.65 181[0:Inp] ssList(u) || -> totalorderP(u) equal(app(app(skf59(u),cons(skf57(u),skf60(u))),cons(skf58(u),skf61(u))),u)**.
% 64.42/64.65 182[0:Inp] ssList(u) || -> cyclefreeP(u) equal(app(app(skf54(u),cons(skf52(u),skf55(u))),cons(skf53(u),skf56(u))),u)**.
% 64.42/64.65 191[0:Inp] ssItem(u) ssList(v) ssList(w) ssList(x) || equal(app(x,cons(u,w)),v)*+ -> memberP(v,u)*.
% 64.42/64.65 192[0:Inp] ssList(u) ssList(v) || equal(tl(u),tl(v))* equal(hd(u),hd(v)) -> equal(u,v) equal(nil,v) equal(nil,u).
% 64.42/64.65 204[0:Rew:94.1,177.1] ssList(u) || -> duplicatefreeP(u) equal(app(app(skf79(u),cons(skf77(u),skf80(u))),cons(skf77(u),skf81(u))),u)**.
% 64.42/64.65 223[0:Res:7.0,181.0] || -> totalorderP(skc9) equal(app(app(skf59(skc9),cons(skf57(skc9),skf60(skc9))),cons(skf58(skc9),skf61(skc9))),skc9)**.
% 64.42/64.65 224[0:Res:7.0,180.0] || -> strictorderP(skc9) equal(app(app(skf64(skc9),cons(skf62(skc9),skf65(skc9))),cons(skf63(skc9),skf66(skc9))),skc9)**.
% 64.42/64.65 225[0:Res:7.0,179.0] || -> totalorderedP(skc9) equal(app(app(skf69(skc9),cons(skf67(skc9),skf70(skc9))),cons(skf68(skc9),skf71(skc9))),skc9)**.
% 64.42/64.65 226[0:Res:7.0,178.0] || -> strictorderedP(skc9) equal(app(app(skf74(skc9),cons(skf72(skc9),skf75(skc9))),cons(skf73(skc9),skf76(skc9))),skc9)**.
% 64.42/64.65 235[0:Res:7.0,165.0] ssList(u) ssList(v) || equal(app(v,u),app(v,skc9))* -> equal(u,skc9).
% 64.42/64.65 249[0:Res:7.0,138.0] ssList(u) || -> equal(nil,skc9) equal(hd(app(skc9,u)),hd(skc9))**.
% 64.42/64.65 255[0:Res:7.0,122.0] || -> equal(nil,skc9) equal(cons(hd(skc9),tl(skc9)),skc9)**.
% 64.42/64.65 256[0:Res:7.0,111.1] singletonP(skc9) || -> equal(cons(skf47(skc9),nil),skc9)**.
% 64.42/64.65 259[0:Res:7.0,114.0] ssItem(u) || equal(cons(u,skc9),nil)** -> .
% 64.42/64.65 260[0:Res:7.0,115.0] ssItem(u) || -> equal(hd(cons(u,skc9)),u)**.
% 64.42/64.65 261[0:Res:7.0,116.0] ssItem(u) || -> equal(tl(cons(u,skc9)),skc9)**.
% 64.42/64.65 269[0:Res:7.0,92.0] || -> cyclefreeP(skc9) leq(skf53(skc9),skf52(skc9))*.
% 64.42/64.65 271[0:Res:7.0,94.0] || -> duplicatefreeP(skc9) equal(skf78(skc9),skf77(skc9))**.
% 64.42/64.65 272[0:Res:7.0,95.0] ssItem(u) || -> ssList(cons(u,skc9))*.
% 64.42/64.65 280[0:Res:7.0,89.0] || -> ssItem(hd(skc9))* equal(nil,skc9).
% 64.42/64.65 282[0:Res:7.0,85.0] || -> equal(app(nil,skc9),skc9)**.
% 64.42/64.65 290[0:Res:7.0,192.1] ssList(u) || equal(tl(skc9),tl(u))* equal(hd(skc9),hd(u)) -> equal(nil,u) equal(skc9,u) equal(nil,skc9).
% 64.42/64.65 325[0:Res:7.0,125.1] ssItem(u) || equal(cons(u,nil),skc9)** -> singletonP(skc9).
% 64.42/64.65 555[1:Spt:249.0,249.2] ssList(u) || -> equal(hd(app(skc9,u)),hd(skc9))**.
% 64.42/64.65 1636[2:Spt:290.5] || -> equal(nil,skc9)**.
% 64.42/64.65 1672[2:Rew:1636.0,76.1] ssItem(u) || -> cyclefreeP(cons(u,skc9))*.
% 64.42/64.65 1673[2:Rew:1636.0,77.1] ssItem(u) || -> totalorderP(cons(u,skc9))*.
% 64.42/64.65 1674[2:Rew:1636.0,78.1] ssItem(u) || -> strictorderP(cons(u,skc9))*.
% 64.42/64.65 1675[2:Rew:1636.0,79.1] ssItem(u) || -> totalorderedP(cons(u,skc9))*.
% 64.42/64.65 1676[2:Rew:1636.0,80.1] ssItem(u) || -> strictorderedP(cons(u,skc9))*.
% 64.42/64.65 1677[2:Rew:1636.0,81.1] ssItem(u) || -> duplicatefreeP(cons(u,skc9))*.
% 64.42/64.65 1678[2:Rew:1636.0,82.1] ssItem(u) || -> equalelemsP(cons(u,skc9))*.
% 64.42/64.65 1684[2:Rew:1636.0,85.1] ssList(u) || -> equal(app(skc9,u),u)**.
% 64.42/64.65 1764[2:Rew:1684.1,555.1] ssList(u) || -> equal(hd(u),hd(skc9))*.
% 64.42/64.65 1837[2:SpR:1764.1,260.1] ssList(cons(u,skc9)) ssItem(u) || -> equal(hd(skc9),u)*.
% 64.42/64.65 1846[2:SSi:1837.0,272.1,1672.1,1673.1,1674.1,1675.1,1676.1,1677.1,1678.1] ssItem(u) || -> equal(hd(skc9),u)*.
% 64.42/64.65 1864[2:SpR:1846.1,1846.1] ssItem(u) ssItem(v) || -> equal(u,v)*.
% 64.42/64.65 2052[2:EmS:1864.0,9.0] ssItem(u) || -> equal(skc16,u)*.
% 64.42/64.65 2077[2:EmS:2052.0,8.0] || -> equal(skc17,skc16)**.
% 64.42/64.65 2080[2:MRR:2077.0,58.0] || -> .
% 64.42/64.65 2310[2:Spt:2080.0,290.5,1636.0] || equal(nil,skc9)** -> .
% 64.42/64.65 2311[2:Spt:2080.0,290.0,290.1,290.2,290.3,290.4] ssList(u) || equal(tl(skc9),tl(u))* equal(hd(skc9),hd(u)) -> equal(nil,u) equal(skc9,u).
% 64.42/64.65 2313[2:MRR:280.1,2310.0] || -> ssItem(hd(skc9))*.
% 64.42/64.65 2317[2:MRR:74.1,2310.0] || SkP0(skc10,skc9)* -> .
% 64.42/64.65 2318[2:MRR:255.0,2310.0] || -> equal(cons(hd(skc9),tl(skc9)),skc9)**.
% 64.42/64.65 2343[3:Spt:225.0] || -> totalorderedP(skc9)*.
% 64.42/64.65 2347[4:Spt:226.0] || -> strictorderedP(skc9)*.
% 64.42/64.65 2352[5:Spt:269.0] || -> cyclefreeP(skc9)*.
% 64.42/64.65 2356[6:Spt:223.0] || -> totalorderP(skc9)*.
% 64.42/64.65 2357[7:Spt:224.0] || -> strictorderP(skc9)*.
% 64.42/64.65 2370[8:Spt:271.0] || -> duplicatefreeP(skc9)*.
% 64.42/64.65 2435[0:SpR:91.1,82.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* equalelemsP(v).
% 64.42/64.65 2436[0:SpR:91.1,81.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* duplicatefreeP(v).
% 64.42/64.65 2437[0:SpR:91.1,80.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* strictorderedP(v).
% 64.42/64.65 2438[0:SpR:91.1,79.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* totalorderedP(v).
% 64.42/64.65 2439[0:SpR:91.1,78.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* strictorderP(v).
% 64.42/64.65 2440[0:SpR:91.1,77.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* totalorderP(v).
% 64.42/64.65 2441[0:SpR:91.1,76.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* cyclefreeP(v).
% 64.42/64.65 2443[0:SSi:2435.0,57.0] || -> SkP0(u,v)* equalelemsP(v).
% 64.42/64.65 2444[0:SSi:2436.0,57.0] || -> SkP0(u,v)* duplicatefreeP(v).
% 64.42/64.65 2445[0:SSi:2437.0,57.0] || -> SkP0(u,v)* strictorderedP(v).
% 64.42/64.65 2446[0:SSi:2438.0,57.0] || -> SkP0(u,v)* totalorderedP(v).
% 64.42/64.65 2447[0:SSi:2439.0,57.0] || -> SkP0(u,v)* strictorderP(v).
% 64.42/64.65 2448[0:SSi:2440.0,57.0] || -> SkP0(u,v)* totalorderP(v).
% 64.42/64.65 2449[0:SSi:2441.0,57.0] || -> SkP0(u,v)* cyclefreeP(v).
% 64.42/64.65 2451[2:Res:2443.0,2317.0] || -> equalelemsP(skc9)*.
% 64.42/64.65 2453[2:Res:2444.0,2317.0] || -> duplicatefreeP(skc9)*.
% 64.42/64.65 2454[2:Res:2445.0,2317.0] || -> strictorderedP(skc9)*.
% 64.42/64.65 2455[2:Res:2446.0,2317.0] || -> totalorderedP(skc9)*.
% 64.42/64.65 2456[2:Res:2447.0,2317.0] || -> strictorderP(skc9)*.
% 64.42/64.65 2457[2:Res:2448.0,2317.0] || -> totalorderP(skc9)*.
% 64.42/64.65 2458[2:Res:2449.0,2317.0] || -> cyclefreeP(skc9)*.
% 64.42/64.65 2464[0:SpL:91.1,325.1] ssItem(skf44(u,v)) || equal(v,skc9) -> SkP0(u,v)* singletonP(skc9).
% 64.42/64.65 2465[0:SSi:2464.0,57.0] || equal(u,skc9) -> SkP0(v,u)* singletonP(skc9).
% 64.42/64.65 2466[9:Spt:2465.0,2465.1] || equal(u,skc9) -> SkP0(v,u)*.
% 64.42/64.65 2467[9:Res:2466.1,2317.0] || equal(skc9,skc9)* -> .
% 64.42/64.65 2468[9:Obv:2467.0] || -> .
% 64.42/64.65 2469[9:Spt:2468.0,2465.2] || -> singletonP(skc9)*.
% 64.42/64.65 2470[9:MRR:256.0,2469.0] || -> equal(cons(skf47(skc9),nil),skc9)**.
% 64.42/64.65 2546[9:SpR:2470.0,116.2] ssItem(skf47(skc9)) ssList(nil) || -> equal(tl(skc9),nil)**.
% 64.42/64.65 2550[9:SSi:2546.1,2546.0,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0,19.0,7.0,2343.0,2347.0,2352.0,2356.0,2357.0,2370.0,2451.0,2469.0] || -> equal(tl(skc9),nil)**.
% 64.42/64.65 2553[9:Rew:2550.0,2318.0] || -> equal(cons(hd(skc9),nil),skc9)**.
% 64.42/64.65 2790[0:SpL:122.2,113.2] ssList(u) ssItem(hd(u)) ssList(tl(u)) || equal(tl(u),u)** -> equal(nil,u).
% 64.42/64.65 2793[0:MRR:2790.1,2790.2,89.1,90.1] ssList(u) || equal(tl(u),u)** -> equal(nil,u).
% 64.42/64.65 3167[0:EqR:125.2] ssList(cons(u,nil)) ssItem(u) || -> singletonP(cons(u,nil))*.
% 64.42/64.65 3172[0:SSi:3167.0,82.0,81.0,80.0,79.0,78.0,77.0,76.0,95.0,17.2,16.1,15.1,14.1,13.1,12.1,11.1,10.1] ssItem(u) || -> singletonP(cons(u,nil))*.
% 64.42/64.65 3825[0:SpL:142.3,134.2] ssList(u) ssList(v) ssList(u) ssList(skf49(v,u)) || rearsegP(v,u)* equal(v,nil) -> equal(nil,u).
% 64.42/64.65 3837[0:Obv:3825.0] ssList(u) ssList(v) ssList(skf49(u,v)) || rearsegP(u,v)* equal(u,nil) -> equal(nil,v).
% 64.42/64.65 3838[0:SSi:3837.2,62.0] ssList(u) ssList(v) || rearsegP(u,v)* equal(u,nil) -> equal(nil,v).
% 64.42/64.65 4082[0:Res:93.2,143.2] ssList(u) ssItem(skf52(u)) ssItem(skf53(u)) || leq(skf53(u),skf52(u))* -> cyclefreeP(u) equal(skf53(u),skf52(u)).
% 64.42/64.65 4085[0:SSi:4082.2,4082.1,23.0,24.0] ssList(u) || leq(skf53(u),skf52(u))* -> cyclefreeP(u) equal(skf53(u),skf52(u)).
% 64.42/64.65 4086[0:MRR:4085.1,92.2] ssList(u) || -> cyclefreeP(u) equal(skf53(u),skf52(u))**.
% 64.42/64.65 4089[0:Rew:4086.2,182.2] ssList(u) || -> cyclefreeP(u) equal(app(app(skf54(u),cons(skf52(u),skf55(u))),cons(skf52(u),skf56(u))),u)**.
% 64.42/64.65 4164[0:SpL:159.3,134.2] ssList(u) ssList(v) ssList(u) ssList(tl(v)) || equal(tl(app(v,u)),nil)** -> equal(nil,v) equal(nil,u).
% 64.42/64.65 4187[0:Obv:4164.0] ssList(u) ssList(v) ssList(tl(u)) || equal(tl(app(u,v)),nil)** -> equal(nil,u) equal(nil,v).
% 64.42/64.65 4188[0:MRR:4187.2,90.1] ssList(u) ssList(v) || equal(tl(app(u,v)),nil)** -> equal(nil,u) equal(nil,v).
% 64.42/64.65 4457[0:SpR:132.0,152.4] ssList(skc15) ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) ssItem(u) || memberP(skc15,u)* -> memberP(skc9,u).
% 64.42/64.65 4461[0:SSi:4457.1,4457.0,96.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.2,5.0,78.1,5.0,77.1,5.0,76.1,5.0,3172.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.0,10.0,2.0,82.0,4.0,81.0,4.0,80.0,4.0,79.2,4.0,78.1,4.0,77.1,4.0,76.1,4.0,3172.1,4.0,95.1,4.0,17.1,16.0,15.1,14.0,13.1,12.0,11.2,10.2,1.2] ssItem(u) || memberP(skc15,u)* -> memberP(skc9,u).
% 64.42/64.65 4622[0:SpR:132.0,156.4] ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) ssList(u) ssList(skc15) || rearsegP(skc15,u)* -> rearsegP(skc9,u).
% 64.42/64.65 4623[0:SpR:133.2,156.4] ssItem(u) ssList(v) ssList(cons(u,nil)) ssList(w) ssList(v) || rearsegP(v,w) -> rearsegP(cons(u,v),w)*.
% 64.42/64.65 4634[0:Obv:4623.1] ssItem(u) ssList(cons(u,nil)) ssList(v) ssList(w) || rearsegP(w,v) -> rearsegP(cons(u,w),v)*.
% 64.42/64.65 4635[0:SSi:4634.1,82.0,81.0,80.0,79.0,78.0,77.0,76.0,3172.0,95.2,17.1,16.1,15.1,14.1,13.1,12.1,11.1,10.1] ssItem(u) ssList(v) ssList(w) || rearsegP(w,v) -> rearsegP(cons(u,w),v)*.
% 64.42/64.65 4636[0:SSi:4622.2,4622.0,1.0,96.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.2,5.0,79.1,5.0,78.1,5.0,77.1,5.0,76.1,5.0,3172.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.0,12.0,11.0,10.0,2.0,82.0,4.0,81.0,4.0,80.2,4.0,79.1,4.0,78.1,4.0,77.1,4.0,76.1,4.0,3172.1,4.0,95.1,4.0,17.1,16.0,15.1,14.0,13.2,12.2,11.2,10.0] ssList(u) || rearsegP(skc15,u)* -> rearsegP(skc9,u).
% 64.42/64.65 4657[0:Res:68.1,4636.1] ssList(skc15) ssList(skc15) || -> rearsegP(skc9,skc15)*.
% 64.42/64.65 4659[0:Obv:4657.0] ssList(skc15) || -> rearsegP(skc9,skc15)*.
% 64.42/64.65 4660[0:SSi:4659.0,1.0] || -> rearsegP(skc9,skc15)*.
% 64.42/64.65 4661[0:Res:4660.0,145.2] ssList(skc9) ssList(skc15) || rearsegP(skc15,skc9)* -> equal(skc15,skc9).
% 64.42/64.65 4662[9:SSi:4661.1,4661.0,1.0,7.0,2343.0,2347.0,2352.0,2356.0,2357.0,2370.0,2451.0,2469.0] || rearsegP(skc15,skc9)* -> equal(skc15,skc9).
% 64.42/64.65 4717[0:EqR:149.3] ssList(u) ssList(app(v,u)) ssList(v) || -> rearsegP(app(v,u),u)*.
% 64.42/64.65 4725[0:SpL:282.0,149.3] ssList(skc9) ssList(u) ssList(nil) || equal(skc9,u) -> rearsegP(u,skc9)*.
% 64.42/64.65 4731[0:SSi:4717.1,96.2] ssList(u) ssList(v) || -> rearsegP(app(v,u),u)*.
% 64.42/64.65 4734[9:SSi:4725.2,4725.0,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0,7.0,2343.0,2347.0,2352.0,2356.0,2357.0,2370.0,2451.0,2469.0] ssList(u) || equal(skc9,u) -> rearsegP(u,skc9)*.
% 64.42/64.65 4777[0:EqR:148.3] ssList(u) ssList(app(u,v)) ssList(v) || -> frontsegP(app(u,v),u)*.
% 64.42/64.65 4791[0:SSi:4777.1,96.2] ssList(u) ssList(v) || -> frontsegP(app(u,v),u)*.
% 64.42/64.65 5212[0:SpR:164.3,132.0] ssList(cons(skc12,nil)) ssList(skc14) ssList(app(skc13,cons(skc11,nil))) || -> equal(app(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil))),skc15),skc9)**.
% 64.42/64.65 5213[0:SpR:164.3,132.0] ssList(skc15) ssList(cons(skc12,nil)) ssList(app(app(skc13,cons(skc11,nil)),skc14)) || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),app(cons(skc12,nil),skc15)),skc9)**.
% 64.42/64.65 5272[0:SSi:5212.2,5212.1,5212.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.2,78.0,5.1,77.0,5.1,76.0,5.1,3172.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.0,2.0,82.0,4.0,81.0,4.0,80.0,4.0,79.0,4.2,78.0,4.1,77.0,4.1,76.0,4.1,3172.0,4.1,95.0,4.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.2] || -> equal(app(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil))),skc15),skc9)**.
% 64.42/64.65 5287[0:SSi:5213.2,5213.1,5213.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.2,78.0,5.1,77.0,5.1,76.0,5.1,3172.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.0,2.0,82.0,4.0,81.0,4.0,80.0,4.0,79.0,4.2,78.0,4.1,77.0,4.1,76.0,4.1,3172.0,4.1,95.0,4.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.2,1.2] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),app(cons(skc12,nil),skc15)),skc9)**.
% 64.42/64.65 5320[0:SpL:282.0,166.3] ssList(nil) ssList(skc9) ssList(u) || equal(app(u,skc9),skc9)** -> equal(nil,u).
% 64.42/64.65 5349[9:SSi:5320.1,5320.0,7.0,2343.0,2347.0,2352.0,2356.0,2357.0,2370.0,2451.0,2469.0,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0] ssList(u) || equal(app(u,skc9),skc9)** -> equal(nil,u).
% 64.42/64.65 5741[0:SpR:133.2,4731.2] ssItem(u) ssList(v) ssList(v) ssList(cons(u,nil)) || -> rearsegP(cons(u,v),v)*.
% 64.42/64.65 5750[0:Obv:5741.1] ssItem(u) ssList(v) ssList(cons(u,nil)) || -> rearsegP(cons(u,v),v)*.
% 64.42/64.65 5751[0:SSi:5750.2,82.0,81.0,80.0,79.0,78.0,77.0,76.0,3172.0,95.2,17.1,16.1,15.1,14.1,13.1,12.1,11.1,10.1] ssItem(u) ssList(v) || -> rearsegP(cons(u,v),v)*.
% 64.42/64.65 6159[0:SpR:122.2,5751.2] ssList(u) ssItem(hd(u)) ssList(tl(u)) || -> equal(nil,u) rearsegP(u,tl(u))*.
% 64.42/64.65 6177[0:MRR:6159.1,6159.2,89.1,90.1] ssList(u) || -> equal(nil,u) rearsegP(u,tl(u))*.
% 64.42/64.65 6268[0:Res:6177.2,145.2] ssList(u) ssList(u) ssList(tl(u)) || rearsegP(tl(u),u)* -> equal(nil,u) equal(tl(u),u).
% 64.42/64.65 6272[0:Res:6177.2,4636.1] ssList(skc15) ssList(tl(skc15)) || -> equal(skc15,nil) rearsegP(skc9,tl(skc15))*.
% 64.42/64.65 6274[0:SSi:6272.0,1.0] ssList(tl(skc15)) || -> equal(skc15,nil) rearsegP(skc9,tl(skc15))*.
% 64.42/64.65 6278[0:Obv:6268.0] ssList(u) ssList(tl(u)) || rearsegP(tl(u),u)* -> equal(nil,u) equal(tl(u),u).
% 64.42/64.65 6279[0:MRR:6278.1,6278.4,90.1,2793.1] ssList(u) || rearsegP(tl(u),u)* -> equal(nil,u).
% 64.42/64.65 6324[0:SoR:6274.0,90.1] ssList(skc15) || -> equal(skc15,nil) rearsegP(skc9,tl(skc15))* equal(skc15,nil).
% 64.42/64.65 6326[0:Obv:6324.1] ssList(skc15) || -> rearsegP(skc9,tl(skc15))* equal(skc15,nil).
% 64.42/64.65 6327[0:SSi:6326.0,1.0] || -> rearsegP(skc9,tl(skc15))* equal(skc15,nil).
% 64.42/64.65 6328[10:Spt:6327.1] || -> equal(skc15,nil)**.
% 64.42/64.65 6334[10:Rew:6328.0,132.0] || -> equal(app(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil),skc9)**.
% 64.42/64.65 6401[10:SpR:6334.0,86.1] ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),skc9)**.
% 64.42/64.65 6420[10:SSi:6401.0,96.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.2,79.0,5.1,78.0,5.1,77.0,5.1,76.0,5.1,3172.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.0,11.0,10.0,2.0,82.0,4.0,81.0,4.0,80.0,4.2,79.0,4.1,78.0,4.1,77.0,4.1,76.0,4.1,3172.0,4.1,95.0,4.1,17.0,16.1,15.0,14.1,13.0,12.2,11.2,10.2] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),skc9)**.
% 64.42/64.65 6501[0:SpL:261.1,6279.1] ssItem(u) ssList(cons(u,skc9)) || rearsegP(skc9,cons(u,skc9))* -> equal(cons(u,skc9),nil).
% 64.42/64.65 6515[0:SSi:6501.1,272.1] ssItem(u) || rearsegP(skc9,cons(u,skc9))* -> equal(cons(u,skc9),nil).
% 64.42/64.65 6516[0:MRR:6515.2,259.1] ssItem(u) || rearsegP(skc9,cons(u,skc9))* -> .
% 64.42/64.65 6893[9:SpL:2553.0,175.3] ssList(nil) ssItem(hd(skc9)) ssItem(u) || memberP(skc9,u) -> memberP(nil,u)* equal(u,hd(skc9)).
% 64.42/64.65 6899[9:SSi:6893.1,6893.0,2313.0,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0] ssItem(u) || memberP(skc9,u) -> memberP(nil,u)* equal(u,hd(skc9)).
% 64.42/64.65 6900[9:MRR:6899.2,75.1] ssItem(u) || memberP(skc9,u)* -> equal(u,hd(skc9)).
% 64.42/64.65 7134[0:EqR:191.4] ssItem(u) ssList(app(v,cons(u,w))) ssList(w) ssList(v) || -> memberP(app(v,cons(u,w)),u)*.
% 64.42/64.65 7162[0:SSi:7134.1,96.2,95.2] ssItem(u) ssList(v) ssList(w) || -> memberP(app(w,cons(u,v)),u)*.
% 64.42/64.65 9534[10:SpL:6420.0,191.4] ssItem(skc12) ssList(u) ssList(nil) ssList(app(app(skc13,cons(skc11,nil)),skc14)) || equal(skc9,u) -> memberP(u,skc12)*.
% 64.42/64.65 9547[10:SSi:9534.3,9534.2,9534.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.0,78.0,5.0,77.0,5.0,76.0,5.0,3172.0,5.0,95.2,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.1,10.0,2.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.2,4.2] ssList(u) || equal(skc9,u) -> memberP(u,skc12)*.
% 64.42/64.65 9639[10:Res:9547.2,6900.1] ssList(skc9) ssItem(skc12) || equal(skc9,skc9) -> equal(hd(skc9),skc12)**.
% 64.42/64.65 9644[10:Obv:9639.2] ssList(skc9) ssItem(skc12) || -> equal(hd(skc9),skc12)**.
% 64.42/64.65 9645[10:SSi:9644.1,9644.0,4.0,7.0,2343.0,2347.0,2352.0,2356.0,2357.0,2370.0,2451.0,2469.0] || -> equal(hd(skc9),skc12)**.
% 64.42/64.65 9648[10:Rew:9645.0,2553.0] || -> equal(cons(skc12,nil),skc9)**.
% 64.42/64.65 9790[10:Rew:9648.0,6420.0] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),skc9),skc9)**.
% 64.42/64.65 10195[10:SpL:9790.0,5349.1] ssList(app(app(skc13,cons(skc11,nil)),skc14)) || equal(skc9,skc9) -> equal(app(app(skc13,cons(skc11,nil)),skc14),nil)**.
% 64.42/64.65 10207[10:Obv:10195.1] ssList(app(app(skc13,cons(skc11,nil)),skc14)) || -> equal(app(app(skc13,cons(skc11,nil)),skc14),nil)**.
% 64.42/64.65 10208[10:SSi:10207.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.2,78.0,5.1,77.0,5.1,76.0,5.1,3172.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.2,2.2] || -> equal(app(app(skc13,cons(skc11,nil)),skc14),nil)**.
% 64.42/64.65 10511[10:SpR:10208.0,4791.2] ssList(app(skc13,cons(skc11,nil))) ssList(skc14) || -> frontsegP(nil,app(skc13,cons(skc11,nil)))*.
% 64.42/64.65 10527[10:SSi:10511.1,10511.0,2.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.2,5.0,78.1,5.0,77.1,5.0,76.1,5.0,3172.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.2,10.0] || -> frontsegP(nil,app(skc13,cons(skc11,nil)))*.
% 64.42/64.65 10616[10:Res:10527.0,97.1] ssList(app(skc13,cons(skc11,nil))) || -> equal(app(skc13,cons(skc11,nil)),nil)**.
% 64.42/64.65 10619[10:SSi:10616.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.2,78.0,5.1,77.0,5.1,76.0,5.1,3172.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.2] || -> equal(app(skc13,cons(skc11,nil)),nil)**.
% 64.42/64.65 10638[10:SpR:10619.0,4731.2] ssList(cons(skc11,nil)) ssList(skc13) || -> rearsegP(nil,cons(skc11,nil))*.
% 64.42/64.65 10663[10:SSi:10638.1,10638.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.0,78.2,5.0,77.1,5.0,76.1,5.0,3172.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.1,10.0] || -> rearsegP(nil,cons(skc11,nil))*.
% 64.42/64.65 10740[10:Res:10663.0,99.1] ssList(cons(skc11,nil)) || -> equal(cons(skc11,nil),nil)**.
% 64.42/64.65 10744[10:SSi:10740.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.0,78.0,5.2,77.0,5.1,76.0,5.1,3172.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.1] || -> equal(cons(skc11,nil),nil)**.
% 64.42/64.65 10785[10:SpL:10744.0,113.2] ssItem(skc11) ssList(nil) || equal(nil,nil)* -> .
% 64.42/64.65 10830[10:Obv:10785.2] ssItem(skc11) ssList(nil) || -> .
% 64.42/64.65 10831[10:SSi:10830.1,10830.0,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0,5.0] || -> .
% 64.42/64.65 10864[10:Spt:10831.0,6327.1,6328.0] || equal(skc15,nil)** -> .
% 64.42/64.65 10865[10:Spt:10831.0,6327.0] || -> rearsegP(skc9,tl(skc15))*.
% 64.42/64.65 15242[0:SpR:5287.0,4731.2] ssList(app(cons(skc12,nil),skc15)) ssList(app(app(skc13,cons(skc11,nil)),skc14)) || -> rearsegP(skc9,app(cons(skc12,nil),skc15))*.
% 64.42/64.65 15273[0:SSi:15242.1,15242.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.2,78.0,5.1,77.0,5.1,76.0,5.1,3172.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.2,10.0,2.0,96.0,82.0,4.0,81.0,4.0,80.0,4.0,79.0,4.2,78.0,4.1,77.0,4.1,76.0,4.1,3172.0,4.1,95.0,4.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.2,1.2] || -> rearsegP(skc9,app(cons(skc12,nil),skc15))*.
% 64.42/64.65 15299[0:SpR:133.2,15273.0] ssItem(skc12) ssList(skc15) || -> rearsegP(skc9,cons(skc12,skc15))*.
% 64.42/64.65 15303[0:SSi:15299.1,15299.0,1.0,4.0] || -> rearsegP(skc9,cons(skc12,skc15))*.
% 64.42/64.65 15306[0:Res:15303.0,145.2] ssList(skc9) ssList(cons(skc12,skc15)) || rearsegP(cons(skc12,skc15),skc9)* -> equal(cons(skc12,skc15),skc9).
% 64.42/64.65 15308[9:SSi:15306.1,15306.0,95.0,4.0,1.0,7.0,2343.0,2347.0,2352.0,2356.0,2357.0,2370.0,2451.0,2469.2] || rearsegP(cons(skc12,skc15),skc9)* -> equal(cons(skc12,skc15),skc9).
% 64.42/64.65 21481[0:SpR:150.2,7162.3] ssList(u) ssItem(skf82(u)) ssList(cons(skf83(u),skf85(u))) ssList(skf84(u)) || -> equalelemsP(u) memberP(u,skf82(u))*.
% 64.42/64.65 21483[0:SpR:181.2,7162.3] ssList(u) ssItem(skf58(u)) ssList(skf61(u)) ssList(app(skf59(u),cons(skf57(u),skf60(u)))) || -> totalorderP(u) memberP(u,skf58(u))*.
% 64.42/64.65 21484[0:SpR:180.2,7162.3] ssList(u) ssItem(skf63(u)) ssList(skf66(u)) ssList(app(skf64(u),cons(skf62(u),skf65(u)))) || -> strictorderP(u) memberP(u,skf63(u))*.
% 64.42/64.65 21485[0:SpR:179.2,7162.3] ssList(u) ssItem(skf68(u)) ssList(skf71(u)) ssList(app(skf69(u),cons(skf67(u),skf70(u)))) || -> totalorderedP(u) memberP(u,skf68(u))*.
% 64.42/64.65 21486[0:SpR:178.2,7162.3] ssList(u) ssItem(skf73(u)) ssList(skf76(u)) ssList(app(skf74(u),cons(skf72(u),skf75(u)))) || -> strictorderedP(u) memberP(u,skf73(u))*.
% 64.42/64.65 21487[0:SpR:204.2,7162.3] ssList(u) ssItem(skf77(u)) ssList(skf81(u)) ssList(app(skf79(u),cons(skf77(u),skf80(u)))) || -> duplicatefreeP(u) memberP(u,skf77(u))*.
% 64.42/64.65 21488[0:SpR:4089.2,7162.3] ssList(u) ssItem(skf52(u)) ssList(skf56(u)) ssList(app(skf54(u),cons(skf52(u),skf55(u)))) || -> cyclefreeP(u) memberP(u,skf52(u))*.
% 64.42/64.65 21514[0:SSi:21481.3,21481.2,21481.1,51.0,95.0,52.0,50.2,53.0] ssList(u) || -> equalelemsP(u) memberP(u,skf82(u))*.
% 64.42/64.65 21521[0:SSi:21488.3,21488.2,21488.1,96.0,22.0,95.0,24.0,21.2,20.0,24.2] ssList(u) || -> cyclefreeP(u) memberP(u,skf52(u))*.
% 64.42/64.65 21522[0:SSi:21487.3,21487.2,21487.1,96.0,47.0,95.0,49.0,46.2,45.0,49.2] ssList(u) || -> duplicatefreeP(u) memberP(u,skf77(u))*.
% 64.42/64.65 21523[0:SSi:21486.3,21486.2,21486.1,96.0,42.0,95.0,44.0,41.2,40.0,43.2] ssList(u) || -> strictorderedP(u) memberP(u,skf73(u))*.
% 64.42/64.65 21524[0:SSi:21485.3,21485.2,21485.1,96.0,37.0,95.0,39.0,36.2,35.0,38.2] ssList(u) || -> totalorderedP(u) memberP(u,skf68(u))*.
% 64.42/64.65 21525[0:SSi:21484.3,21484.2,21484.1,96.0,32.0,95.0,34.0,31.2,30.0,33.2] ssList(u) || -> strictorderP(u) memberP(u,skf63(u))*.
% 64.42/64.65 21526[0:SSi:21483.3,21483.2,21483.1,96.0,27.0,95.0,29.0,26.2,25.0,28.2] ssList(u) || -> totalorderP(u) memberP(u,skf58(u))*.
% 64.42/64.65 21840[0:Res:21514.2,4461.1] ssList(skc15) ssItem(skf82(skc15)) || -> equalelemsP(skc15) memberP(skc9,skf82(skc15))*.
% 64.42/64.65 21847[0:SSi:21840.1,21840.0,53.0,1.0,1.0] || -> equalelemsP(skc15) memberP(skc9,skf82(skc15))*.
% 64.42/64.65 21855[9:Res:21847.1,6900.1] ssItem(skf82(skc15)) || -> equalelemsP(skc15) equal(skf82(skc15),hd(skc9))**.
% 64.42/64.65 21857[9:SSi:21855.0,53.0,1.0] || -> equalelemsP(skc15) equal(skf82(skc15),hd(skc9))**.
% 64.42/64.65 21862[9:SpR:21857.1,21514.2] ssList(skc15) || -> equalelemsP(skc15) equalelemsP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 21864[9:Obv:21862.1] ssList(skc15) || -> equalelemsP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 21865[9:SSi:21864.0,1.0] || -> equalelemsP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 21870[11:Spt:21865.0] || -> equalelemsP(skc15)*.
% 64.42/64.65 21900[0:Res:21521.2,4461.1] ssList(skc15) ssItem(skf52(skc15)) || -> cyclefreeP(skc15) memberP(skc9,skf52(skc15))*.
% 64.42/64.65 21907[11:SSi:21900.1,21900.0,24.0,1.0,21870.0,1.0,21870.0] || -> cyclefreeP(skc15) memberP(skc9,skf52(skc15))*.
% 64.42/64.65 21915[11:Res:21907.1,6900.1] ssItem(skf52(skc15)) || -> cyclefreeP(skc15) equal(skf52(skc15),hd(skc9))**.
% 64.42/64.65 21917[11:SSi:21915.0,24.0,1.0,21870.0] || -> cyclefreeP(skc15) equal(skf52(skc15),hd(skc9))**.
% 64.42/64.65 21923[11:SpR:21917.1,21521.2] ssList(skc15) || -> cyclefreeP(skc15) cyclefreeP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 21925[11:Obv:21923.1] ssList(skc15) || -> cyclefreeP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 21926[11:SSi:21925.0,1.0,21870.0] || -> cyclefreeP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 21955[12:Spt:21926.0] || -> cyclefreeP(skc15)*.
% 64.42/64.65 21963[0:Res:21522.2,4461.1] ssList(skc15) ssItem(skf77(skc15)) || -> duplicatefreeP(skc15) memberP(skc9,skf77(skc15))*.
% 64.42/64.65 21970[12:SSi:21963.1,21963.0,49.0,1.0,21870.0,21955.0,1.0,21870.0,21955.0] || -> duplicatefreeP(skc15) memberP(skc9,skf77(skc15))*.
% 64.42/64.65 21978[12:Res:21970.1,6900.1] ssItem(skf77(skc15)) || -> duplicatefreeP(skc15) equal(skf77(skc15),hd(skc9))**.
% 64.42/64.65 21980[12:SSi:21978.0,49.0,1.0,21870.0,21955.0] || -> duplicatefreeP(skc15) equal(skf77(skc15),hd(skc9))**.
% 64.42/64.65 22007[12:SpR:21980.1,21522.2] ssList(skc15) || -> duplicatefreeP(skc15) duplicatefreeP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 22009[12:Obv:22007.1] ssList(skc15) || -> duplicatefreeP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 22010[12:SSi:22009.0,1.0,21870.0,21955.0] || -> duplicatefreeP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 22015[13:Spt:22010.0] || -> duplicatefreeP(skc15)*.
% 64.42/64.65 22023[0:Res:21523.2,4461.1] ssList(skc15) ssItem(skf73(skc15)) || -> strictorderedP(skc15) memberP(skc9,skf73(skc15))*.
% 64.42/64.65 22030[13:SSi:22023.1,22023.0,43.0,1.0,21870.0,21955.0,22015.0,1.0,21870.0,21955.0,22015.0] || -> strictorderedP(skc15) memberP(skc9,skf73(skc15))*.
% 64.42/64.65 22184[13:Res:22030.1,6900.1] ssItem(skf73(skc15)) || -> strictorderedP(skc15) equal(skf73(skc15),hd(skc9))**.
% 64.42/64.65 22186[13:SSi:22184.0,43.0,1.0,21870.0,21955.0,22015.0] || -> strictorderedP(skc15) equal(skf73(skc15),hd(skc9))**.
% 64.42/64.65 22198[13:SpR:22186.1,21523.2] ssList(skc15) || -> strictorderedP(skc15) strictorderedP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 22201[13:Obv:22198.1] ssList(skc15) || -> strictorderedP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 22202[13:SSi:22201.0,1.0,21870.0,21955.0,22015.0] || -> strictorderedP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 22209[14:Spt:22202.0] || -> strictorderedP(skc15)*.
% 64.42/64.65 24297[0:Res:21524.2,4461.1] ssList(skc15) ssItem(skf68(skc15)) || -> totalorderedP(skc15) memberP(skc9,skf68(skc15))*.
% 64.42/64.65 24304[14:SSi:24297.1,24297.0,38.0,1.0,21870.0,21955.0,22015.0,22209.0,1.0,21870.0,21955.0,22015.0,22209.0] || -> totalorderedP(skc15) memberP(skc9,skf68(skc15))*.
% 64.42/64.65 24310[14:Res:24304.1,6900.1] ssItem(skf68(skc15)) || -> totalorderedP(skc15) equal(skf68(skc15),hd(skc9))**.
% 64.42/64.65 24312[14:SSi:24310.0,38.0,1.0,21870.0,21955.0,22015.0,22209.0] || -> totalorderedP(skc15) equal(skf68(skc15),hd(skc9))**.
% 64.42/64.65 24317[14:SpR:24312.1,21524.2] ssList(skc15) || -> totalorderedP(skc15) totalorderedP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 24321[14:Obv:24317.1] ssList(skc15) || -> totalorderedP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 24322[14:SSi:24321.0,1.0,21870.0,21955.0,22015.0,22209.0] || -> totalorderedP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 24331[15:Spt:24322.0] || -> totalorderedP(skc15)*.
% 64.42/64.65 24687[0:Res:21525.2,4461.1] ssList(skc15) ssItem(skf63(skc15)) || -> strictorderP(skc15) memberP(skc9,skf63(skc15))*.
% 64.42/64.65 24694[15:SSi:24687.1,24687.0,33.0,1.0,21870.0,21955.0,22015.0,22209.0,24331.0,1.0,21870.0,21955.0,22015.0,22209.0,24331.0] || -> strictorderP(skc15) memberP(skc9,skf63(skc15))*.
% 64.42/64.65 24702[15:Res:24694.1,6900.1] ssItem(skf63(skc15)) || -> strictorderP(skc15) equal(skf63(skc15),hd(skc9))**.
% 64.42/64.65 24704[15:SSi:24702.0,33.0,1.0,21870.0,21955.0,22015.0,22209.0,24331.0] || -> strictorderP(skc15) equal(skf63(skc15),hd(skc9))**.
% 64.42/64.65 24709[15:SpR:24704.1,21525.2] ssList(skc15) || -> strictorderP(skc15) strictorderP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 24713[15:Obv:24709.1] ssList(skc15) || -> strictorderP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 24714[15:SSi:24713.0,1.0,21870.0,21955.0,22015.0,22209.0,24331.0] || -> strictorderP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 24830[16:Spt:24714.0] || -> strictorderP(skc15)*.
% 64.42/64.65 24848[0:Res:21526.2,4461.1] ssList(skc15) ssItem(skf58(skc15)) || -> totalorderP(skc15) memberP(skc9,skf58(skc15))*.
% 64.42/64.65 24855[16:SSi:24848.1,24848.0,28.0,1.0,21870.0,21955.0,22015.0,22209.0,24331.0,24830.0,1.0,21870.0,21955.0,22015.0,22209.0,24331.0,24830.0] || -> totalorderP(skc15) memberP(skc9,skf58(skc15))*.
% 64.42/64.65 25202[16:Res:24855.1,6900.1] ssItem(skf58(skc15)) || -> totalorderP(skc15) equal(skf58(skc15),hd(skc9))**.
% 64.42/64.65 25204[16:SSi:25202.0,28.0,1.0,21870.0,21955.0,22015.0,22209.0,24331.0,24830.0] || -> totalorderP(skc15) equal(skf58(skc15),hd(skc9))**.
% 64.42/64.65 25209[16:SpR:25204.1,21526.2] ssList(skc15) || -> totalorderP(skc15) totalorderP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 25215[16:Obv:25209.1] ssList(skc15) || -> totalorderP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 25216[16:SSi:25215.0,1.0,21870.0,21955.0,22015.0,22209.0,24331.0,24830.0] || -> totalorderP(skc15) memberP(skc15,hd(skc9))*.
% 64.42/64.65 25229[17:Spt:25216.0] || -> totalorderP(skc15)*.
% 64.42/64.65 26847[0:SpL:132.0,235.2] ssList(skc15) ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) || equal(app(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),skc9),skc9)** -> equal(skc15,skc9).
% 64.42/64.65 26854[0:SpL:5272.0,235.2] ssList(skc15) ssList(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil)))) || equal(app(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil))),skc9),skc9)** -> equal(skc15,skc9).
% 64.42/64.65 26963[17:SSi:26847.1,26847.0,96.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.0,78.0,5.0,77.0,5.0,76.0,5.2,3172.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.1,2.0,82.1,4.0,81.1,4.0,80.0,4.0,79.0,4.0,78.0,4.0,77.0,4.0,76.0,4.2,3172.0,4.1,95.0,4.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.1,1.0,21870.1,21955.0,22015.1,22209.0,24331.2,24830.2,25229.2] || equal(app(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),skc9),skc9)** -> equal(skc15,skc9).
% 64.42/64.65 29074[0:Res:4660.0,3838.2] ssList(skc9) ssList(skc15) || equal(nil,skc9) -> equal(skc15,nil)**.
% 64.42/64.65 33533[9:Res:4635.4,15308.0] ssItem(skc12) ssList(skc9) ssList(skc15) || rearsegP(skc15,skc9) -> equal(cons(skc12,skc15),skc9)**.
% 64.42/64.65 33538[9:Rew:4662.1,33533.4] ssItem(skc12) ssList(skc9) ssList(skc15) || rearsegP(skc15,skc9) -> equal(cons(skc12,skc9),skc9)**.
% 64.42/64.65 33539[17:SSi:33538.2,33538.1,33538.0,1.0,21870.0,21955.0,22015.0,22209.0,24331.0,24830.0,25229.0,7.0,2343.0,2347.0,2352.0,2356.0,2357.0,2370.0,2451.0,2469.0,4.0] || rearsegP(skc15,skc9) -> equal(cons(skc12,skc9),skc9)**.
% 64.42/64.65 33568[17:SpR:33539.1,261.1] ssItem(skc12) || rearsegP(skc15,skc9)* -> equal(tl(skc9),skc9).
% 64.42/64.65 33650[17:Rew:2550.0,33568.2] ssItem(skc12) || rearsegP(skc15,skc9)* -> equal(nil,skc9).
% 64.42/64.65 33651[17:SSi:33650.0,4.0] || rearsegP(skc15,skc9)* -> equal(nil,skc9).
% 64.42/64.65 33652[17:MRR:33651.1,2310.0] || rearsegP(skc15,skc9)* -> .
% 64.42/64.65 33655[17:Res:4734.2,33652.0] ssList(skc15) || equal(skc15,skc9)** -> .
% 64.42/64.65 33657[17:SSi:33655.0,1.0,21870.0,21955.0,22015.0,22209.0,24331.0,24830.0,25229.0] || equal(skc15,skc9)** -> .
% 64.42/64.65 33660[17:MRR:26963.1,33657.0] || equal(app(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),skc9),skc9)** -> .
% 64.42/64.65 35449[0:SpL:132.0,4188.2] ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) ssList(skc15) || equal(tl(skc9),nil) -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil)** equal(skc15,nil).
% 64.42/64.65 35459[0:SpL:5272.0,4188.2] ssList(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil)))) ssList(skc15) || equal(tl(skc9),nil) -> equal(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil))),nil)** equal(skc15,nil).
% 64.42/64.65 35585[9:Rew:2550.0,35459.2] ssList(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil)))) ssList(skc15) || equal(nil,nil) -> equal(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil))),nil)** equal(skc15,nil).
% 64.42/64.65 35637[9:Rew:2550.0,35449.2] ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) ssList(skc15) || equal(nil,nil) -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil)** equal(skc15,nil).
% 64.42/64.65 35638[9:Obv:35637.2] ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) ssList(skc15) || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil)** equal(skc15,nil).
% 64.42/64.65 35639[17:SSi:35638.1,35638.0,1.0,21870.0,21955.0,22015.0,22209.0,24331.0,24830.0,25229.0,96.0,96.2,96.0,3.1,82.0,5.1,81.0,5.1,80.0,5.1,79.0,5.1,78.0,5.1,77.0,5.1,76.0,5.1,3172.0,5.0,95.0,5.0,17.0,16.0,15.0,14.0,13.0,12.0,11.2,10.0,2.1,82.0,4.1,81.0,4.1,80.0,4.1,79.0,4.1,78.0,4.1,77.0,4.1,76.0,4.1,3172.0,4.2,95.2,4.2,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil)** equal(skc15,nil).
% 64.42/64.65 35640[17:MRR:35639.1,10864.0] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil)**.
% 64.42/64.65 35657[17:Rew:35640.0,33660.0] || equal(app(nil,skc9),skc9)** -> .
% 64.42/64.65 35659[17:Rew:282.0,35657.0] || equal(skc9,skc9)* -> .
% 64.42/64.65 35660[17:Obv:35659.0] || -> .
% 64.42/64.65 35671[17:Spt:35660.0,25216.0,25229.0] || totalorderP(skc15)* -> .
% 64.42/64.65 35672[17:Spt:35660.0,25216.1] || -> memberP(skc15,hd(skc9))*.
% 64.42/64.65 35694[16:SSi:35638.1,35638.0,1.0,21870.0,21955.0,22015.0,22209.0,24331.0,24830.0,96.0,96.0,96.2,3.0,82.1,5.0,81.1,5.0,80.1,5.0,79.1,5.0,78.1,5.0,77.1,5.0,76.1,5.0,3172.1,5.0,95.0,5.0,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.2,2.0,82.1,4.0,81.1,4.0,80.1,4.0,79.1,4.0,78.1,4.0,77.1,4.0,76.1,4.0,3172.1,4.0,95.2,4.2,17.2,16.0,15.0,14.0,13.0,12.0,11.0,10.0] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil)** equal(skc15,nil).
% 64.42/64.65 35695[16:MRR:35694.1,10864.0] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil)**.
% 64.42/64.65 35756[16:Rew:35695.0,26847.2] ssList(skc15) ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) || equal(app(nil,skc9),skc9)** -> equal(skc15,skc9).
% 64.42/64.65 35757[16:Rew:282.0,35756.2] ssList(skc15) ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) || equal(skc9,skc9) -> equal(skc15,skc9)**.
% 64.42/64.65 35758[16:Obv:35757.2] ssList(skc15) ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) || -> equal(skc15,skc9)**.
% 64.42/64.65 35759[16:SSi:35758.1,35758.0,96.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.0,78.0,5.0,77.0,5.0,76.2,5.0,3172.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.1,10.0,2.1,82.0,4.1,81.0,4.0,80.0,4.0,79.0,4.0,78.0,4.0,77.0,4.0,76.2,4.0,3172.1,4.0,95.1,4.0,17.1,16.0,15.1,14.0,13.1,12.0,11.1,10.0,1.1,21870.0,21955.1,22015.0,22209.2,24331.2,24830.2] || -> equal(skc15,skc9)**.
% 64.42/64.65 35928[17:Rew:35759.0,35671.0] || totalorderP(skc9)* -> .
% 64.42/64.65 35947[17:MRR:35928.0,2356.0] || -> .
% 64.42/64.65 36000[9:Obv:35585.2] ssList(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil)))) ssList(skc15) || -> equal(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil))),nil)** equal(skc15,nil).
% 64.42/64.65 36012[16:Spt:35947.0,24714.0,24830.0] || strictorderP(skc15)* -> .
% 64.42/64.65 36013[16:Spt:35947.0,24714.1] || -> memberP(skc15,hd(skc9))*.
% 64.42/64.65 36036[9:SSi:36000.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.2,5.0,78.1,5.0,77.1,5.0,76.1,5.0,3172.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.2,10.0,96.0,2.0,82.0,4.0,81.0,4.0,80.0,4.0,79.2,4.0,78.1,4.0,77.1,4.0,76.1,4.0,3172.1,4.0,95.1,4.0,17.1,16.0,15.1,14.0,13.1,12.0,11.2,10.2] ssList(skc15) || -> equal(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil))),nil)** equal(skc15,nil).
% 64.42/64.65 36037[10:MRR:36036.0,36036.2,1.0,10864.0] || -> equal(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil))),nil)**.
% 64.42/64.65 36100[10:Rew:36037.0,26854.2] ssList(skc15) ssList(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil)))) || equal(app(nil,skc9),skc9)** -> equal(skc15,skc9).
% 64.42/64.65 36101[10:Rew:282.0,36100.2] ssList(skc15) ssList(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil)))) || equal(skc9,skc9) -> equal(skc15,skc9)**.
% 64.42/64.65 36102[10:Obv:36101.2] ssList(skc15) ssList(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil)))) || -> equal(skc15,skc9)**.
% 64.42/64.65 36103[10:SSi:36102.1,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.2,5.0,78.1,5.0,77.1,5.0,76.1,5.0,3172.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.2,10.0,96.0,2.0,82.0,4.0,81.0,4.0,80.0,4.0,79.2,4.0,78.1,4.0,77.1,4.0,76.1,4.0,3172.1,4.0,95.1,4.0,17.1,16.0,15.1,14.0,13.1,12.0,11.2,10.2] ssList(skc15) || -> equal(skc15,skc9)**.
% 64.42/64.65 36104[10:MRR:36103.0,1.0] || -> equal(skc15,skc9)**.
% 64.42/64.65 36113[16:Rew:36104.0,36012.0] || strictorderP(skc9)* -> .
% 64.42/64.65 36293[16:MRR:36113.0,2357.0] || -> .
% 64.42/64.65 36357[15:Spt:36293.0,24322.0,24331.0] || totalorderedP(skc15)* -> .
% 64.42/64.65 36358[15:Spt:36293.0,24322.1] || -> memberP(skc15,hd(skc9))*.
% 64.42/64.65 36359[15:Rew:36104.0,36357.0] || totalorderedP(skc9)* -> .
% 64.42/64.65 36360[15:MRR:36359.0,2343.0] || -> .
% 64.42/64.65 36368[14:Spt:36360.0,22202.0,22209.0] || strictorderedP(skc15)* -> .
% 64.42/64.65 36369[14:Spt:36360.0,22202.1] || -> memberP(skc15,hd(skc9))*.
% 64.42/64.65 36370[14:Rew:36104.0,36368.0] || strictorderedP(skc9)* -> .
% 64.42/64.65 36371[14:MRR:36370.0,2347.0] || -> .
% 64.42/64.65 36392[13:Spt:36371.0,22010.0,22015.0] || duplicatefreeP(skc15)* -> .
% 64.42/64.65 36393[13:Spt:36371.0,22010.1] || -> memberP(skc15,hd(skc9))*.
% 64.42/64.65 36394[13:Rew:36104.0,36392.0] || duplicatefreeP(skc9)* -> .
% 64.42/64.65 36395[13:MRR:36394.0,2370.0] || -> .
% 64.42/64.65 36405[12:Spt:36395.0,21926.0,21955.0] || cyclefreeP(skc15)* -> .
% 64.42/64.65 36406[12:Spt:36395.0,21926.1] || -> memberP(skc15,hd(skc9))*.
% 64.42/64.65 36407[12:Rew:36104.0,36405.0] || cyclefreeP(skc9)* -> .
% 64.42/64.65 36408[12:MRR:36407.0,2352.0] || -> .
% 64.42/64.65 36416[11:Spt:36408.0,21865.0,21870.0] || equalelemsP(skc15)* -> .
% 64.42/64.65 36417[11:Spt:36408.0,21865.1] || -> memberP(skc15,hd(skc9))*.
% 64.42/64.65 36418[11:Rew:36104.0,36416.0] || equalelemsP(skc9)* -> .
% 64.42/64.65 36419[11:MRR:36418.0,2451.0] || -> .
% 64.42/64.65 36427[8:Spt:36419.0,271.0,2370.0] || duplicatefreeP(skc9)* -> .
% 64.42/64.65 36428[8:Spt:36419.0,271.1] || -> equal(skf78(skc9),skf77(skc9))**.
% 64.42/64.65 36429[8:MRR:36427.0,2453.0] || -> .
% 64.42/64.65 37848[7:Spt:36429.0,224.0,2357.0] || strictorderP(skc9)* -> .
% 73.85/74.04 37849[7:Spt:36429.0,224.1] || -> equal(app(app(skf64(skc9),cons(skf62(skc9),skf65(skc9))),cons(skf63(skc9),skf66(skc9))),skc9)**.
% 73.85/74.04 37850[7:MRR:37848.0,2456.0] || -> .
% 73.85/74.04 38764[6:Spt:37850.0,223.0,2356.0] || totalorderP(skc9)* -> .
% 73.85/74.04 38765[6:Spt:37850.0,223.1] || -> equal(app(app(skf59(skc9),cons(skf57(skc9),skf60(skc9))),cons(skf58(skc9),skf61(skc9))),skc9)**.
% 73.85/74.04 38766[6:MRR:38764.0,2457.0] || -> .
% 73.85/74.04 39269[5:Spt:38766.0,269.0,2352.0] || cyclefreeP(skc9)* -> .
% 73.85/74.04 39270[5:Spt:38766.0,269.1] || -> leq(skf53(skc9),skf52(skc9))*.
% 73.85/74.04 39271[5:MRR:39269.0,2458.0] || -> .
% 73.85/74.04 40082[4:Spt:39271.0,226.0,2347.0] || strictorderedP(skc9)* -> .
% 73.85/74.04 40083[4:Spt:39271.0,226.1] || -> equal(app(app(skf74(skc9),cons(skf72(skc9),skf75(skc9))),cons(skf73(skc9),skf76(skc9))),skc9)**.
% 73.85/74.04 40084[4:MRR:40082.0,2454.0] || -> .
% 73.85/74.04 40905[3:Spt:40084.0,225.0,2343.0] || totalorderedP(skc9)* -> .
% 73.85/74.04 40906[3:Spt:40084.0,225.1] || -> equal(app(app(skf69(skc9),cons(skf67(skc9),skf70(skc9))),cons(skf68(skc9),skf71(skc9))),skc9)**.
% 73.85/74.04 40907[3:MRR:40905.0,2455.0] || -> .
% 73.85/74.04 41390[1:Spt:40907.0,249.1] || -> equal(nil,skc9)**.
% 73.85/74.04 43302[1:Rew:41390.0,29074.3,41390.0,29074.2] ssList(skc9) ssList(skc15) || equal(skc9,skc9) -> equal(skc15,skc9)**.
% 73.85/74.04 43303[1:Obv:43302.2] ssList(skc9) ssList(skc15) || -> equal(skc15,skc9)**.
% 73.85/74.04 43304[1:SSi:43303.0,7.0] ssList(skc15) || -> equal(skc15,skc9)**.
% 73.85/74.04 43305[1:MRR:43304.0,1.0] || -> equal(skc15,skc9)**.
% 73.85/74.04 43308[1:Rew:43305.0,15303.0] || -> rearsegP(skc9,cons(skc12,skc9))*.
% 73.85/74.04 45970[1:Res:43308.0,6516.1] ssItem(skc12) || -> .
% 73.85/74.04 45974[1:SSi:45970.0,4.0] || -> .
% 73.85/74.04 % SZS output end Refutation
% 73.85/74.04 Formulae used in the proof : co1 ax2 ax17 ax60 ax62 ax64 ax66 ax69 ax72 ax74 ax4 ax8 ax9 ax10 ax11 ax12 ax13 ax14 ax6 ax49 ax38 ax59 ax61 ax63 ax65 ax68 ax71 ax73 ax28 ax84 ax75 ax76 ax16 ax26 ax46 ax52 ax18 ax21 ax23 ax25 ax78 ax81 ax83 ax85 ax29 ax48 ax5 ax36 ax50 ax86 ax82 ax80 ax79 ax37 ax3 ax77
% 73.85/74.04
%------------------------------------------------------------------------------