TSTP Solution File: SWC298+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC298+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 : Tue Jul 19 22:03:09 EDT 2022
% Result : Theorem 62.16s 62.32s
% Output : Refutation 71.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC298+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.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 : Sun Jun 12 11:34:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 62.16/62.32
% 62.16/62.32 SPASS V 3.9
% 62.16/62.32 SPASS beiseite: Proof found.
% 62.16/62.32 % SZS status Theorem
% 62.16/62.32 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 62.16/62.32 SPASS derived 25891 clauses, backtracked 11368 clauses, performed 53 splits and kept 15260 clauses.
% 62.16/62.32 SPASS allocated 138719 KBytes.
% 62.16/62.32 SPASS spent 0:01:01.92 on the problem.
% 62.16/62.32 0:00:00.04 for the input.
% 62.16/62.32 0:00:00.06 for the FLOTTER CNF translation.
% 62.16/62.32 0:00:00.41 for inferences.
% 62.16/62.32 0:00:03.06 for the backtracking.
% 62.16/62.32 0:0:57.96 for the reduction.
% 62.16/62.32
% 62.16/62.32
% 62.16/62.32 Here is a proof with depth 8, length 439 :
% 62.16/62.32 % SZS output start Refutation
% 62.16/62.32 1[0:Inp] || -> ssList(skc15)*.
% 62.16/62.32 2[0:Inp] || -> ssList(skc14)*.
% 62.16/62.32 3[0:Inp] || -> ssList(skc13)*.
% 62.16/62.32 4[0:Inp] || -> ssItem(skc12)*.
% 62.16/62.32 5[0:Inp] || -> ssItem(skc11)*.
% 62.16/62.32 7[0:Inp] || -> ssList(skc9)*.
% 62.16/62.32 8[0:Inp] || -> ssItem(skc17)*.
% 62.16/62.32 9[0:Inp] || -> ssItem(skc16)*.
% 62.16/62.32 10[0:Inp] || -> ssList(nil)*.
% 62.16/62.32 11[0:Inp] || -> cyclefreeP(nil)*.
% 62.16/62.32 12[0:Inp] || -> totalorderP(nil)*.
% 62.16/62.32 13[0:Inp] || -> strictorderP(nil)*.
% 62.16/62.32 14[0:Inp] || -> totalorderedP(nil)*.
% 62.16/62.32 15[0:Inp] || -> strictorderedP(nil)*.
% 62.16/62.32 16[0:Inp] || -> duplicatefreeP(nil)*.
% 62.16/62.32 17[0:Inp] || -> equalelemsP(nil)*.
% 62.16/62.32 19[0:Inp] || -> ssItem(skf47(u))*.
% 62.16/62.32 20[0:Inp] || -> ssList(skf56(u))*.
% 62.16/62.32 21[0:Inp] || -> ssList(skf55(u))*.
% 62.16/62.32 22[0:Inp] || -> ssList(skf54(u))*.
% 62.16/62.32 23[0:Inp] || -> ssItem(skf53(u))*.
% 62.16/62.32 24[0:Inp] || -> ssItem(skf52(u))*.
% 62.16/62.32 25[0:Inp] || -> ssList(skf61(u))*.
% 62.16/62.32 26[0:Inp] || -> ssList(skf60(u))*.
% 62.16/62.32 27[0:Inp] || -> ssList(skf59(u))*.
% 62.16/62.32 28[0:Inp] || -> ssItem(skf58(u))*.
% 62.16/62.32 29[0:Inp] || -> ssItem(skf57(u))*.
% 62.16/62.32 30[0:Inp] || -> ssList(skf66(u))*.
% 62.16/62.32 31[0:Inp] || -> ssList(skf65(u))*.
% 62.16/62.32 32[0:Inp] || -> ssList(skf64(u))*.
% 62.16/62.32 33[0:Inp] || -> ssItem(skf63(u))*.
% 62.16/62.32 34[0:Inp] || -> ssItem(skf62(u))*.
% 62.16/62.32 35[0:Inp] || -> ssList(skf71(u))*.
% 62.16/62.32 36[0:Inp] || -> ssList(skf70(u))*.
% 62.16/62.32 37[0:Inp] || -> ssList(skf69(u))*.
% 62.16/62.32 38[0:Inp] || -> ssItem(skf68(u))*.
% 62.16/62.32 39[0:Inp] || -> ssItem(skf67(u))*.
% 62.16/62.32 40[0:Inp] || -> ssList(skf76(u))*.
% 62.16/62.32 41[0:Inp] || -> ssList(skf75(u))*.
% 62.16/62.32 42[0:Inp] || -> ssList(skf74(u))*.
% 62.16/62.32 43[0:Inp] || -> ssItem(skf73(u))*.
% 62.16/62.32 44[0:Inp] || -> ssItem(skf72(u))*.
% 62.16/62.32 45[0:Inp] || -> ssList(skf81(u))*.
% 62.16/62.32 46[0:Inp] || -> ssList(skf80(u))*.
% 62.16/62.32 47[0:Inp] || -> ssList(skf79(u))*.
% 62.16/62.32 49[0:Inp] || -> ssItem(skf77(u))*.
% 62.16/62.32 50[0:Inp] || -> ssList(skf85(u))*.
% 62.16/62.32 51[0:Inp] || -> ssList(skf84(u))*.
% 62.16/62.32 52[0:Inp] || -> ssItem(skf83(u))*.
% 62.16/62.32 53[0:Inp] || -> ssItem(skf82(u))*.
% 62.16/62.32 57[0:Inp] || -> ssItem(skf44(u,v))*.
% 62.16/62.32 58[0:Inp] || equal(skc17,skc16)** -> .
% 62.16/62.32 62[0:Inp] || -> ssList(skf49(u,v))*.
% 62.16/62.32 68[0:Inp] ssList(u) || -> rearsegP(u,u)*.
% 62.16/62.32 74[0:Inp] || SkP0(skc10,skc9)* -> equal(nil,skc9).
% 62.16/62.32 75[0:Inp] ssItem(u) || memberP(nil,u)* -> .
% 62.16/62.32 76[0:Inp] ssItem(u) || -> cyclefreeP(cons(u,nil))*.
% 62.16/62.32 77[0:Inp] ssItem(u) || -> totalorderP(cons(u,nil))*.
% 62.16/62.32 78[0:Inp] ssItem(u) || -> strictorderP(cons(u,nil))*.
% 62.16/62.32 79[0:Inp] ssItem(u) || -> totalorderedP(cons(u,nil))*.
% 62.16/62.32 80[0:Inp] ssItem(u) || -> strictorderedP(cons(u,nil))*.
% 62.16/62.32 81[0:Inp] ssItem(u) || -> duplicatefreeP(cons(u,nil))*.
% 62.16/62.32 82[0:Inp] ssItem(u) || -> equalelemsP(cons(u,nil))*.
% 62.16/62.32 85[0:Inp] ssList(u) || -> equal(app(nil,u),u)**.
% 62.16/62.32 86[0:Inp] ssList(u) || -> equal(app(u,nil),u)**.
% 62.16/62.32 89[0:Inp] ssList(u) || -> ssItem(hd(u))* equal(nil,u).
% 62.16/62.32 90[0:Inp] ssList(u) || -> ssList(tl(u))* equal(nil,u).
% 62.16/62.32 91[0:Inp] || -> SkP0(u,v) equal(cons(skf44(u,v),nil),v)**.
% 62.16/62.32 92[0:Inp] ssList(u) || -> cyclefreeP(u) leq(skf53(u),skf52(u))*.
% 62.16/62.32 93[0:Inp] ssList(u) || -> cyclefreeP(u) leq(skf52(u),skf53(u))*.
% 62.16/62.32 94[0:Inp] ssList(u) || -> duplicatefreeP(u) equal(skf78(u),skf77(u))**.
% 62.16/62.32 95[0:Inp] ssItem(u) ssList(v) || -> ssList(cons(u,v))*.
% 62.16/62.32 96[0:Inp] ssList(u) ssList(v) || -> ssList(app(v,u))*.
% 62.16/62.32 97[0:Inp] ssList(u) || frontsegP(nil,u)* -> equal(nil,u).
% 62.16/62.32 99[0:Inp] ssList(u) || rearsegP(nil,u)* -> equal(nil,u).
% 62.16/62.32 111[0:Inp] ssList(u) singletonP(u) || -> equal(cons(skf47(u),nil),u)**.
% 62.16/62.32 113[0:Inp] ssItem(u) ssList(v) || equal(cons(u,v),v)** -> .
% 62.16/62.32 114[0:Inp] ssItem(u) ssList(v) || equal(cons(u,v),nil)** -> .
% 62.16/62.32 115[0:Inp] ssItem(u) ssList(v) || -> equal(hd(cons(u,v)),u)**.
% 62.16/62.32 116[0:Inp] ssItem(u) ssList(v) || -> equal(tl(cons(u,v)),v)**.
% 62.16/62.32 122[0:Inp] ssList(u) || -> equal(nil,u) equal(cons(hd(u),tl(u)),u)**.
% 62.16/62.32 125[0:Inp] ssList(u) ssItem(v) || equal(cons(v,nil),u)*+ -> singletonP(u)*.
% 62.16/62.32 132[0:Inp] || -> equal(app(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),skc15),skc9)**.
% 62.16/62.32 133[0:Inp] ssItem(u) ssList(v) || -> equal(app(cons(u,nil),v),cons(u,v))**.
% 62.16/62.32 134[0:Inp] ssList(u) ssList(v) || equal(app(v,u),nil)** -> equal(nil,u).
% 62.16/62.32 138[0:Inp] ssList(u) ssList(v) || -> equal(nil,v) equal(hd(app(v,u)),hd(v))**.
% 62.16/62.32 142[0:Inp] ssList(u) ssList(v) || rearsegP(v,u) -> equal(app(skf49(v,u),u),v)**.
% 62.16/62.32 143[0:Inp] ssItem(u) ssItem(v) || leq(u,v)*+ leq(v,u)* -> equal(v,u).
% 62.16/62.32 145[0:Inp] ssList(u) ssList(v) || rearsegP(u,v)*+ rearsegP(v,u)* -> equal(v,u).
% 62.16/62.32 148[0:Inp] ssList(u) ssList(v) ssList(w) || equal(app(u,w),v)*+ -> frontsegP(v,u)*.
% 62.16/62.32 149[0:Inp] ssList(u) ssList(v) ssList(w) || equal(app(w,u),v)*+ -> rearsegP(v,u)*.
% 62.16/62.32 150[0:Inp] ssList(u) || -> equalelemsP(u) equal(app(skf84(u),cons(skf82(u),cons(skf83(u),skf85(u)))),u)**.
% 62.16/62.32 152[0:Inp] ssList(u) ssList(v) ssItem(w) || memberP(u,w) -> memberP(app(v,u),w)*.
% 62.16/62.32 156[0:Inp] ssList(u) ssList(v) ssList(w) || rearsegP(w,v) -> rearsegP(app(u,w),v)*.
% 62.16/62.32 159[0:Inp] ssList(u) ssList(v) || -> equal(nil,v) equal(app(tl(v),u),tl(app(v,u)))**.
% 62.16/62.32 164[0:Inp] ssList(u) ssList(v) ssList(w) || -> equal(app(app(w,v),u),app(w,app(v,u)))**.
% 62.16/62.32 165[0:Inp] ssList(u) ssList(v) ssList(w) || equal(app(v,u),app(v,w))* -> equal(u,w).
% 62.16/62.32 166[0:Inp] ssList(u) ssList(v) ssList(w) || equal(app(u,v),app(w,v))* -> equal(u,w).
% 62.16/62.32 175[0:Inp] ssList(u) ssItem(v) ssItem(w) || memberP(cons(v,u),w)* -> memberP(u,w) equal(w,v).
% 62.16/62.32 177[0:Inp] ssList(u) || -> equal(app(app(skf79(u),cons(skf77(u),skf80(u))),cons(skf78(u),skf81(u))),u)** duplicatefreeP(u).
% 62.16/62.32 178[0:Inp] ssList(u) || -> strictorderedP(u) equal(app(app(skf74(u),cons(skf72(u),skf75(u))),cons(skf73(u),skf76(u))),u)**.
% 62.16/62.32 179[0:Inp] ssList(u) || -> totalorderedP(u) equal(app(app(skf69(u),cons(skf67(u),skf70(u))),cons(skf68(u),skf71(u))),u)**.
% 62.16/62.32 180[0:Inp] ssList(u) || -> strictorderP(u) equal(app(app(skf64(u),cons(skf62(u),skf65(u))),cons(skf63(u),skf66(u))),u)**.
% 62.16/62.32 181[0:Inp] ssList(u) || -> totalorderP(u) equal(app(app(skf59(u),cons(skf57(u),skf60(u))),cons(skf58(u),skf61(u))),u)**.
% 62.16/62.32 182[0:Inp] ssList(u) || -> cyclefreeP(u) equal(app(app(skf54(u),cons(skf52(u),skf55(u))),cons(skf53(u),skf56(u))),u)**.
% 62.16/62.32 192[0:Inp] ssItem(u) ssList(v) ssList(w) ssList(x) || equal(app(x,cons(u,w)),v)*+ -> memberP(v,u)*.
% 62.16/62.32 193[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).
% 62.16/62.32 205[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)**.
% 62.16/62.32 224[0:Res:7.0,181.0] || -> totalorderP(skc9) equal(app(app(skf59(skc9),cons(skf57(skc9),skf60(skc9))),cons(skf58(skc9),skf61(skc9))),skc9)**.
% 62.16/62.32 225[0:Res:7.0,180.0] || -> strictorderP(skc9) equal(app(app(skf64(skc9),cons(skf62(skc9),skf65(skc9))),cons(skf63(skc9),skf66(skc9))),skc9)**.
% 62.16/62.32 226[0:Res:7.0,179.0] || -> totalorderedP(skc9) equal(app(app(skf69(skc9),cons(skf67(skc9),skf70(skc9))),cons(skf68(skc9),skf71(skc9))),skc9)**.
% 62.16/62.32 227[0:Res:7.0,178.0] || -> strictorderedP(skc9) equal(app(app(skf74(skc9),cons(skf72(skc9),skf75(skc9))),cons(skf73(skc9),skf76(skc9))),skc9)**.
% 62.16/62.32 236[0:Res:7.0,165.0] ssList(u) ssList(v) || equal(app(v,u),app(v,skc9))* -> equal(u,skc9).
% 62.16/62.32 250[0:Res:7.0,138.0] ssList(u) || -> equal(nil,skc9) equal(hd(app(skc9,u)),hd(skc9))**.
% 62.16/62.32 256[0:Res:7.0,122.0] || -> equal(nil,skc9) equal(cons(hd(skc9),tl(skc9)),skc9)**.
% 62.16/62.32 257[0:Res:7.0,111.1] singletonP(skc9) || -> equal(cons(skf47(skc9),nil),skc9)**.
% 62.16/62.32 260[0:Res:7.0,114.0] ssItem(u) || equal(cons(u,skc9),nil)** -> .
% 62.16/62.32 261[0:Res:7.0,115.0] ssItem(u) || -> equal(hd(cons(u,skc9)),u)**.
% 62.16/62.32 262[0:Res:7.0,116.0] ssItem(u) || -> equal(tl(cons(u,skc9)),skc9)**.
% 62.16/62.32 270[0:Res:7.0,92.0] || -> cyclefreeP(skc9) leq(skf53(skc9),skf52(skc9))*.
% 62.16/62.32 272[0:Res:7.0,94.0] || -> duplicatefreeP(skc9) equal(skf78(skc9),skf77(skc9))**.
% 62.16/62.32 273[0:Res:7.0,95.0] ssItem(u) || -> ssList(cons(u,skc9))*.
% 62.16/62.32 281[0:Res:7.0,89.0] || -> ssItem(hd(skc9))* equal(nil,skc9).
% 62.16/62.32 283[0:Res:7.0,85.0] || -> equal(app(nil,skc9),skc9)**.
% 62.16/62.32 291[0:Res:7.0,193.1] ssList(u) || equal(tl(skc9),tl(u))* equal(hd(skc9),hd(u)) -> equal(nil,u) equal(skc9,u) equal(nil,skc9).
% 62.16/62.32 326[0:Res:7.0,125.1] ssItem(u) || equal(cons(u,nil),skc9)** -> singletonP(skc9).
% 62.16/62.32 556[1:Spt:250.0,250.2] ssList(u) || -> equal(hd(app(skc9,u)),hd(skc9))**.
% 62.16/62.32 1638[2:Spt:291.5] || -> equal(nil,skc9)**.
% 62.16/62.32 1674[2:Rew:1638.0,76.1] ssItem(u) || -> cyclefreeP(cons(u,skc9))*.
% 62.16/62.32 1675[2:Rew:1638.0,77.1] ssItem(u) || -> totalorderP(cons(u,skc9))*.
% 62.16/62.32 1676[2:Rew:1638.0,78.1] ssItem(u) || -> strictorderP(cons(u,skc9))*.
% 62.16/62.32 1677[2:Rew:1638.0,79.1] ssItem(u) || -> totalorderedP(cons(u,skc9))*.
% 62.16/62.32 1678[2:Rew:1638.0,80.1] ssItem(u) || -> strictorderedP(cons(u,skc9))*.
% 62.16/62.32 1679[2:Rew:1638.0,81.1] ssItem(u) || -> duplicatefreeP(cons(u,skc9))*.
% 62.16/62.32 1680[2:Rew:1638.0,82.1] ssItem(u) || -> equalelemsP(cons(u,skc9))*.
% 62.16/62.32 1686[2:Rew:1638.0,85.1] ssList(u) || -> equal(app(skc9,u),u)**.
% 62.16/62.32 1766[2:Rew:1686.1,556.1] ssList(u) || -> equal(hd(u),hd(skc9))*.
% 62.16/62.32 1839[2:SpR:1766.1,261.1] ssList(cons(u,skc9)) ssItem(u) || -> equal(hd(skc9),u)*.
% 62.16/62.32 1848[2:SSi:1839.0,273.1,1674.1,1675.1,1676.1,1677.1,1678.1,1679.1,1680.1] ssItem(u) || -> equal(hd(skc9),u)*.
% 62.16/62.32 1866[2:SpR:1848.1,1848.1] ssItem(u) ssItem(v) || -> equal(u,v)*.
% 62.16/62.32 2055[2:EmS:1866.0,9.0] ssItem(u) || -> equal(skc16,u)*.
% 62.16/62.32 2080[2:EmS:2055.0,8.0] || -> equal(skc17,skc16)**.
% 62.16/62.32 2083[2:MRR:2080.0,58.0] || -> .
% 62.16/62.32 2313[2:Spt:2083.0,291.5,1638.0] || equal(nil,skc9)** -> .
% 62.16/62.32 2314[2:Spt:2083.0,291.0,291.1,291.2,291.3,291.4] ssList(u) || equal(tl(skc9),tl(u))* equal(hd(skc9),hd(u)) -> equal(nil,u) equal(skc9,u).
% 62.16/62.32 2316[2:MRR:281.1,2313.0] || -> ssItem(hd(skc9))*.
% 62.16/62.32 2320[2:MRR:74.1,2313.0] || SkP0(skc10,skc9)* -> .
% 62.16/62.32 2321[2:MRR:256.0,2313.0] || -> equal(cons(hd(skc9),tl(skc9)),skc9)**.
% 62.16/62.32 2346[3:Spt:226.0] || -> totalorderedP(skc9)*.
% 62.16/62.32 2350[4:Spt:227.0] || -> strictorderedP(skc9)*.
% 62.16/62.32 2355[5:Spt:270.0] || -> cyclefreeP(skc9)*.
% 62.16/62.32 2359[6:Spt:224.0] || -> totalorderP(skc9)*.
% 62.16/62.32 2360[7:Spt:225.0] || -> strictorderP(skc9)*.
% 62.16/62.32 2373[8:Spt:272.0] || -> duplicatefreeP(skc9)*.
% 62.16/62.32 2438[0:SpR:91.1,82.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* equalelemsP(v).
% 62.16/62.32 2439[0:SpR:91.1,81.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* duplicatefreeP(v).
% 62.16/62.32 2440[0:SpR:91.1,80.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* strictorderedP(v).
% 62.16/62.32 2441[0:SpR:91.1,79.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* totalorderedP(v).
% 62.16/62.32 2442[0:SpR:91.1,78.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* strictorderP(v).
% 62.16/62.32 2443[0:SpR:91.1,77.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* totalorderP(v).
% 62.16/62.32 2444[0:SpR:91.1,76.1] ssItem(skf44(u,v)) || -> SkP0(u,v)* cyclefreeP(v).
% 62.16/62.32 2446[0:SSi:2438.0,57.0] || -> SkP0(u,v)* equalelemsP(v).
% 62.16/62.32 2447[0:SSi:2439.0,57.0] || -> SkP0(u,v)* duplicatefreeP(v).
% 62.16/62.32 2448[0:SSi:2440.0,57.0] || -> SkP0(u,v)* strictorderedP(v).
% 62.16/62.32 2449[0:SSi:2441.0,57.0] || -> SkP0(u,v)* totalorderedP(v).
% 62.16/62.32 2450[0:SSi:2442.0,57.0] || -> SkP0(u,v)* strictorderP(v).
% 62.16/62.32 2451[0:SSi:2443.0,57.0] || -> SkP0(u,v)* totalorderP(v).
% 62.16/62.32 2452[0:SSi:2444.0,57.0] || -> SkP0(u,v)* cyclefreeP(v).
% 62.16/62.32 2454[2:Res:2446.0,2320.0] || -> equalelemsP(skc9)*.
% 62.16/62.32 2456[2:Res:2447.0,2320.0] || -> duplicatefreeP(skc9)*.
% 62.16/62.32 2457[2:Res:2448.0,2320.0] || -> strictorderedP(skc9)*.
% 62.16/62.32 2458[2:Res:2449.0,2320.0] || -> totalorderedP(skc9)*.
% 62.16/62.32 2459[2:Res:2450.0,2320.0] || -> strictorderP(skc9)*.
% 62.16/62.32 2460[2:Res:2451.0,2320.0] || -> totalorderP(skc9)*.
% 62.16/62.32 2461[2:Res:2452.0,2320.0] || -> cyclefreeP(skc9)*.
% 62.16/62.32 2467[0:SpL:91.1,326.1] ssItem(skf44(u,v)) || equal(v,skc9) -> SkP0(u,v)* singletonP(skc9).
% 62.16/62.32 2468[0:SSi:2467.0,57.0] || equal(u,skc9) -> SkP0(v,u)* singletonP(skc9).
% 62.16/62.32 2469[9:Spt:2468.0,2468.1] || equal(u,skc9) -> SkP0(v,u)*.
% 62.16/62.32 2470[9:Res:2469.1,2320.0] || equal(skc9,skc9)* -> .
% 62.16/62.32 2471[9:Obv:2470.0] || -> .
% 62.16/62.32 2472[9:Spt:2471.0,2468.2] || -> singletonP(skc9)*.
% 62.16/62.32 2473[9:MRR:257.0,2472.0] || -> equal(cons(skf47(skc9),nil),skc9)**.
% 62.16/62.32 2549[9:SpR:2473.0,116.2] ssItem(skf47(skc9)) ssList(nil) || -> equal(tl(skc9),nil)**.
% 62.16/62.32 2553[9:SSi:2549.1,2549.0,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0,19.0,7.0,2346.0,2350.0,2355.0,2359.0,2360.0,2373.0,2454.0,2472.0] || -> equal(tl(skc9),nil)**.
% 62.16/62.32 2556[9:Rew:2553.0,2321.0] || -> equal(cons(hd(skc9),nil),skc9)**.
% 62.16/62.32 2791[0:SpL:122.2,113.2] ssList(u) ssItem(hd(u)) ssList(tl(u)) || equal(tl(u),u)** -> equal(nil,u).
% 62.16/62.32 2794[0:MRR:2791.1,2791.2,89.1,90.1] ssList(u) || equal(tl(u),u)** -> equal(nil,u).
% 62.16/62.32 3165[0:EqR:125.2] ssList(cons(u,nil)) ssItem(u) || -> singletonP(cons(u,nil))*.
% 62.16/62.32 3170[0:SSi:3165.0,82.0,81.0,80.0,79.0,78.0,77.0,76.0,95.0,17.2,16.1,15.1,14.1,13.1,12.1,11.1,10.1] ssItem(u) || -> singletonP(cons(u,nil))*.
% 62.16/62.32 3822[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).
% 62.16/62.32 3834[0:Obv:3822.0] ssList(u) ssList(v) ssList(skf49(u,v)) || rearsegP(u,v)* equal(u,nil) -> equal(nil,v).
% 62.16/62.32 3835[0:SSi:3834.2,62.0] ssList(u) ssList(v) || rearsegP(u,v)* equal(u,nil) -> equal(nil,v).
% 62.16/62.32 4079[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)).
% 62.16/62.32 4082[0:SSi:4079.2,4079.1,23.0,24.0] ssList(u) || leq(skf53(u),skf52(u))* -> cyclefreeP(u) equal(skf53(u),skf52(u)).
% 62.16/62.32 4083[0:MRR:4082.1,92.2] ssList(u) || -> cyclefreeP(u) equal(skf53(u),skf52(u))**.
% 62.16/62.32 4086[0:Rew:4083.2,182.2] ssList(u) || -> cyclefreeP(u) equal(app(app(skf54(u),cons(skf52(u),skf55(u))),cons(skf52(u),skf56(u))),u)**.
% 62.16/62.32 4161[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).
% 62.16/62.32 4184[0:Obv:4161.0] ssList(u) ssList(v) ssList(tl(u)) || equal(tl(app(u,v)),nil)** -> equal(nil,u) equal(nil,v).
% 62.16/62.32 4185[0:MRR:4184.2,90.1] ssList(u) ssList(v) || equal(tl(app(u,v)),nil)** -> equal(nil,u) equal(nil,v).
% 62.16/62.32 4442[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).
% 62.16/62.32 4446[0:SSi:4442.1,4442.0,96.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.2,5.0,78.1,5.0,77.1,5.0,76.1,5.0,3170.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.0,10.0,2.0,82.0,4.0,81.0,4.0,80.0,4.0,79.2,4.0,78.1,4.0,77.1,4.0,76.1,4.0,3170.1,4.0,95.1,4.0,17.1,16.0,15.1,14.0,13.1,12.0,11.2,10.2,1.2] ssItem(u) || memberP(skc15,u)* -> memberP(skc9,u).
% 62.16/62.32 4605[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).
% 62.16/62.32 4606[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)*.
% 62.16/62.32 4617[0:Obv:4606.1] ssItem(u) ssList(cons(u,nil)) ssList(v) ssList(w) || rearsegP(w,v) -> rearsegP(cons(u,w),v)*.
% 62.16/62.32 4618[0:SSi:4617.1,82.0,81.0,80.0,79.0,78.0,77.0,76.0,3170.0,95.2,17.1,16.1,15.1,14.1,13.1,12.1,11.1,10.1] ssItem(u) ssList(v) ssList(w) || rearsegP(w,v) -> rearsegP(cons(u,w),v)*.
% 62.16/62.32 4619[0:SSi:4605.2,4605.0,1.0,96.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.2,5.0,79.1,5.0,78.1,5.0,77.1,5.0,76.1,5.0,3170.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.0,12.0,11.0,10.0,2.0,82.0,4.0,81.0,4.0,80.2,4.0,79.1,4.0,78.1,4.0,77.1,4.0,76.1,4.0,3170.1,4.0,95.1,4.0,17.1,16.0,15.1,14.0,13.2,12.2,11.2,10.0] ssList(u) || rearsegP(skc15,u)* -> rearsegP(skc9,u).
% 62.16/62.32 4640[0:Res:68.1,4619.1] ssList(skc15) ssList(skc15) || -> rearsegP(skc9,skc15)*.
% 62.16/62.32 4642[0:Obv:4640.0] ssList(skc15) || -> rearsegP(skc9,skc15)*.
% 62.16/62.32 4643[0:SSi:4642.0,1.0] || -> rearsegP(skc9,skc15)*.
% 62.16/62.32 4644[0:Res:4643.0,145.2] ssList(skc9) ssList(skc15) || rearsegP(skc15,skc9)* -> equal(skc15,skc9).
% 62.16/62.32 4645[9:SSi:4644.1,4644.0,1.0,7.0,2346.0,2350.0,2355.0,2359.0,2360.0,2373.0,2454.0,2472.0] || rearsegP(skc15,skc9)* -> equal(skc15,skc9).
% 62.16/62.32 4700[0:EqR:149.3] ssList(u) ssList(app(v,u)) ssList(v) || -> rearsegP(app(v,u),u)*.
% 62.16/62.32 4708[0:SpL:283.0,149.3] ssList(skc9) ssList(u) ssList(nil) || equal(skc9,u) -> rearsegP(u,skc9)*.
% 62.16/62.32 4714[0:SSi:4700.1,96.2] ssList(u) ssList(v) || -> rearsegP(app(v,u),u)*.
% 62.16/62.32 4717[9:SSi:4708.2,4708.0,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0,7.0,2346.0,2350.0,2355.0,2359.0,2360.0,2373.0,2454.0,2472.0] ssList(u) || equal(skc9,u) -> rearsegP(u,skc9)*.
% 62.16/62.32 4760[0:EqR:148.3] ssList(u) ssList(app(u,v)) ssList(v) || -> frontsegP(app(u,v),u)*.
% 62.16/62.32 4774[0:SSi:4760.1,96.2] ssList(u) ssList(v) || -> frontsegP(app(u,v),u)*.
% 62.16/62.32 5228[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)**.
% 62.16/62.32 5229[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)**.
% 62.16/62.32 5288[0:SSi:5228.2,5228.1,5228.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.2,78.0,5.1,77.0,5.1,76.0,5.1,3170.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.0,2.0,82.0,4.0,81.0,4.0,80.0,4.0,79.0,4.2,78.0,4.1,77.0,4.1,76.0,4.1,3170.0,4.1,95.0,4.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.2] || -> equal(app(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil))),skc15),skc9)**.
% 62.16/62.32 5303[0:SSi:5229.2,5229.1,5229.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.2,78.0,5.1,77.0,5.1,76.0,5.1,3170.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.0,2.0,82.0,4.0,81.0,4.0,80.0,4.0,79.0,4.2,78.0,4.1,77.0,4.1,76.0,4.1,3170.0,4.1,95.0,4.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.2,1.2] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),app(cons(skc12,nil),skc15)),skc9)**.
% 62.16/62.32 5330[0:SpL:283.0,166.3] ssList(nil) ssList(skc9) ssList(u) || equal(app(u,skc9),skc9)** -> equal(nil,u).
% 62.16/62.32 5359[9:SSi:5330.1,5330.0,7.0,2346.0,2350.0,2355.0,2359.0,2360.0,2373.0,2454.0,2472.0,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0] ssList(u) || equal(app(u,skc9),skc9)** -> equal(nil,u).
% 62.16/62.32 5723[0:SpR:133.2,4714.2] ssItem(u) ssList(v) ssList(v) ssList(cons(u,nil)) || -> rearsegP(cons(u,v),v)*.
% 62.16/62.32 5731[0:Obv:5723.1] ssItem(u) ssList(v) ssList(cons(u,nil)) || -> rearsegP(cons(u,v),v)*.
% 62.16/62.32 5732[0:SSi:5731.2,82.0,81.0,80.0,79.0,78.0,77.0,76.0,3170.0,95.2,17.1,16.1,15.1,14.1,13.1,12.1,11.1,10.1] ssItem(u) ssList(v) || -> rearsegP(cons(u,v),v)*.
% 62.16/62.32 6131[0:SpR:122.2,5732.2] ssList(u) ssItem(hd(u)) ssList(tl(u)) || -> equal(nil,u) rearsegP(u,tl(u))*.
% 62.16/62.32 6149[0:MRR:6131.1,6131.2,89.1,90.1] ssList(u) || -> equal(nil,u) rearsegP(u,tl(u))*.
% 62.16/62.32 6235[0:Res:6149.2,145.2] ssList(u) ssList(u) ssList(tl(u)) || rearsegP(tl(u),u)* -> equal(nil,u) equal(tl(u),u).
% 62.16/62.32 6239[0:Res:6149.2,4619.1] ssList(skc15) ssList(tl(skc15)) || -> equal(skc15,nil) rearsegP(skc9,tl(skc15))*.
% 62.16/62.32 6241[0:SSi:6239.0,1.0] ssList(tl(skc15)) || -> equal(skc15,nil) rearsegP(skc9,tl(skc15))*.
% 62.16/62.32 6245[0:Obv:6235.0] ssList(u) ssList(tl(u)) || rearsegP(tl(u),u)* -> equal(nil,u) equal(tl(u),u).
% 62.16/62.32 6246[0:MRR:6245.1,6245.4,90.1,2794.1] ssList(u) || rearsegP(tl(u),u)* -> equal(nil,u).
% 62.16/62.32 6291[0:SoR:6241.0,90.1] ssList(skc15) || -> equal(skc15,nil) rearsegP(skc9,tl(skc15))* equal(skc15,nil).
% 62.16/62.32 6293[0:Obv:6291.1] ssList(skc15) || -> rearsegP(skc9,tl(skc15))* equal(skc15,nil).
% 62.16/62.32 6294[0:SSi:6293.0,1.0] || -> rearsegP(skc9,tl(skc15))* equal(skc15,nil).
% 62.16/62.32 6295[10:Spt:6294.1] || -> equal(skc15,nil)**.
% 62.16/62.32 6301[10:Rew:6295.0,132.0] || -> equal(app(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil),skc9)**.
% 62.16/62.32 6357[10:SpR:6301.0,86.1] 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)**.
% 62.16/62.32 6376[10:SSi:6357.0,96.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.2,79.0,5.1,78.0,5.1,77.0,5.1,76.0,5.1,3170.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.0,11.0,10.0,2.0,82.0,4.0,81.0,4.0,80.0,4.2,79.0,4.1,78.0,4.1,77.0,4.1,76.0,4.1,3170.0,4.1,95.0,4.1,17.0,16.1,15.0,14.1,13.0,12.2,11.2,10.2] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),skc9)**.
% 62.16/62.32 6467[0:SpL:262.1,6246.1] ssItem(u) ssList(cons(u,skc9)) || rearsegP(skc9,cons(u,skc9))* -> equal(cons(u,skc9),nil).
% 62.16/62.32 6480[0:SSi:6467.1,273.1] ssItem(u) || rearsegP(skc9,cons(u,skc9))* -> equal(cons(u,skc9),nil).
% 62.16/62.32 6481[0:MRR:6480.2,260.1] ssItem(u) || rearsegP(skc9,cons(u,skc9))* -> .
% 62.16/62.32 6948[9:SpL:2556.0,175.3] ssList(nil) ssItem(hd(skc9)) ssItem(u) || memberP(skc9,u) -> memberP(nil,u)* equal(u,hd(skc9)).
% 62.16/62.32 6954[9:SSi:6948.1,6948.0,2316.0,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0] ssItem(u) || memberP(skc9,u) -> memberP(nil,u)* equal(u,hd(skc9)).
% 62.16/62.32 6955[9:MRR:6954.2,75.1] ssItem(u) || memberP(skc9,u)* -> equal(u,hd(skc9)).
% 62.16/62.32 7152[0:EqR:192.4] ssItem(u) ssList(app(v,cons(u,w))) ssList(w) ssList(v) || -> memberP(app(v,cons(u,w)),u)*.
% 62.16/62.32 7180[0:SSi:7152.1,96.2,95.2] ssItem(u) ssList(v) ssList(w) || -> memberP(app(w,cons(u,v)),u)*.
% 62.16/62.32 9598[10:SpL:6376.0,192.4] ssItem(skc12) ssList(u) ssList(nil) ssList(app(app(skc13,cons(skc11,nil)),skc14)) || equal(skc9,u) -> memberP(u,skc12)*.
% 62.16/62.32 9611[10:SSi:9598.3,9598.2,9598.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.0,78.0,5.0,77.0,5.0,76.0,5.0,3170.0,5.0,95.2,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.1,10.0,2.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.2,4.2] ssList(u) || equal(skc9,u) -> memberP(u,skc12)*.
% 62.16/62.32 9702[10:Res:9611.2,6955.1] ssList(skc9) ssItem(skc12) || equal(skc9,skc9) -> equal(hd(skc9),skc12)**.
% 62.16/62.32 9707[10:Obv:9702.2] ssList(skc9) ssItem(skc12) || -> equal(hd(skc9),skc12)**.
% 62.16/62.32 9708[10:SSi:9707.1,9707.0,4.0,7.0,2346.0,2350.0,2355.0,2359.0,2360.0,2373.0,2454.0,2472.0] || -> equal(hd(skc9),skc12)**.
% 62.16/62.32 9711[10:Rew:9708.0,2556.0] || -> equal(cons(skc12,nil),skc9)**.
% 62.16/62.32 9866[10:Rew:9711.0,6376.0] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),skc9),skc9)**.
% 62.16/62.32 10284[10:SpL:9866.0,5359.1] ssList(app(app(skc13,cons(skc11,nil)),skc14)) || equal(skc9,skc9) -> equal(app(app(skc13,cons(skc11,nil)),skc14),nil)**.
% 62.16/62.32 10296[10:Obv:10284.1] ssList(app(app(skc13,cons(skc11,nil)),skc14)) || -> equal(app(app(skc13,cons(skc11,nil)),skc14),nil)**.
% 62.16/62.32 10297[10:SSi:10296.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.2,78.0,5.1,77.0,5.1,76.0,5.1,3170.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.2,2.2] || -> equal(app(app(skc13,cons(skc11,nil)),skc14),nil)**.
% 62.16/62.32 10646[10:SpR:10297.0,4774.2] ssList(app(skc13,cons(skc11,nil))) ssList(skc14) || -> frontsegP(nil,app(skc13,cons(skc11,nil)))*.
% 62.16/62.32 10662[10:SSi:10646.1,10646.0,2.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.2,5.0,78.1,5.0,77.1,5.0,76.1,5.0,3170.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.2,10.0] || -> frontsegP(nil,app(skc13,cons(skc11,nil)))*.
% 62.16/62.32 10750[10:Res:10662.0,97.1] ssList(app(skc13,cons(skc11,nil))) || -> equal(app(skc13,cons(skc11,nil)),nil)**.
% 62.16/62.32 10753[10:SSi:10750.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.2,78.0,5.1,77.0,5.1,76.0,5.1,3170.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.2] || -> equal(app(skc13,cons(skc11,nil)),nil)**.
% 62.16/62.32 10833[10:SpR:10753.0,4714.2] ssList(cons(skc11,nil)) ssList(skc13) || -> rearsegP(nil,cons(skc11,nil))*.
% 62.16/62.32 10858[10:SSi:10833.1,10833.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.0,78.2,5.0,77.1,5.0,76.1,5.0,3170.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.1,10.0] || -> rearsegP(nil,cons(skc11,nil))*.
% 62.16/62.32 10920[10:Res:10858.0,99.1] ssList(cons(skc11,nil)) || -> equal(cons(skc11,nil),nil)**.
% 62.16/62.32 10924[10:SSi:10920.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.0,78.0,5.2,77.0,5.1,76.0,5.1,3170.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.1] || -> equal(cons(skc11,nil),nil)**.
% 62.16/62.32 10965[10:SpL:10924.0,113.2] ssItem(skc11) ssList(nil) || equal(nil,nil)* -> .
% 62.16/62.32 11010[10:Obv:10965.2] ssItem(skc11) ssList(nil) || -> .
% 62.16/62.32 11011[10:SSi:11010.1,11010.0,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0,5.0] || -> .
% 62.16/62.32 11044[10:Spt:11011.0,6294.1,6295.0] || equal(skc15,nil)** -> .
% 62.16/62.32 11045[10:Spt:11011.0,6294.0] || -> rearsegP(skc9,tl(skc15))*.
% 62.16/62.32 15031[0:SpR:5303.0,4714.2] ssList(app(cons(skc12,nil),skc15)) ssList(app(app(skc13,cons(skc11,nil)),skc14)) || -> rearsegP(skc9,app(cons(skc12,nil),skc15))*.
% 62.16/62.32 15062[0:SSi:15031.1,15031.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.2,78.0,5.1,77.0,5.1,76.0,5.1,3170.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.2,10.0,2.0,96.0,82.0,4.0,81.0,4.0,80.0,4.0,79.0,4.2,78.0,4.1,77.0,4.1,76.0,4.1,3170.0,4.1,95.0,4.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.2,1.2] || -> rearsegP(skc9,app(cons(skc12,nil),skc15))*.
% 62.16/62.32 15088[0:SpR:133.2,15062.0] ssItem(skc12) ssList(skc15) || -> rearsegP(skc9,cons(skc12,skc15))*.
% 62.16/62.32 15092[0:SSi:15088.1,15088.0,1.0,4.0] || -> rearsegP(skc9,cons(skc12,skc15))*.
% 62.16/62.32 15095[0:Res:15092.0,145.2] ssList(skc9) ssList(cons(skc12,skc15)) || rearsegP(cons(skc12,skc15),skc9)* -> equal(cons(skc12,skc15),skc9).
% 62.16/62.32 15097[9:SSi:15095.1,15095.0,95.0,4.0,1.0,7.0,2346.0,2350.0,2355.0,2359.0,2360.0,2373.0,2454.0,2472.2] || rearsegP(cons(skc12,skc15),skc9)* -> equal(cons(skc12,skc15),skc9).
% 62.16/62.32 20892[0:SpR:150.2,7180.3] ssList(u) ssItem(skf82(u)) ssList(cons(skf83(u),skf85(u))) ssList(skf84(u)) || -> equalelemsP(u) memberP(u,skf82(u))*.
% 62.16/62.32 20894[0:SpR:181.2,7180.3] ssList(u) ssItem(skf58(u)) ssList(skf61(u)) ssList(app(skf59(u),cons(skf57(u),skf60(u)))) || -> totalorderP(u) memberP(u,skf58(u))*.
% 62.16/62.32 20895[0:SpR:180.2,7180.3] ssList(u) ssItem(skf63(u)) ssList(skf66(u)) ssList(app(skf64(u),cons(skf62(u),skf65(u)))) || -> strictorderP(u) memberP(u,skf63(u))*.
% 62.16/62.32 20896[0:SpR:179.2,7180.3] ssList(u) ssItem(skf68(u)) ssList(skf71(u)) ssList(app(skf69(u),cons(skf67(u),skf70(u)))) || -> totalorderedP(u) memberP(u,skf68(u))*.
% 62.16/62.32 20897[0:SpR:178.2,7180.3] ssList(u) ssItem(skf73(u)) ssList(skf76(u)) ssList(app(skf74(u),cons(skf72(u),skf75(u)))) || -> strictorderedP(u) memberP(u,skf73(u))*.
% 62.16/62.32 20898[0:SpR:205.2,7180.3] ssList(u) ssItem(skf77(u)) ssList(skf81(u)) ssList(app(skf79(u),cons(skf77(u),skf80(u)))) || -> duplicatefreeP(u) memberP(u,skf77(u))*.
% 62.16/62.32 20899[0:SpR:4086.2,7180.3] ssList(u) ssItem(skf52(u)) ssList(skf56(u)) ssList(app(skf54(u),cons(skf52(u),skf55(u)))) || -> cyclefreeP(u) memberP(u,skf52(u))*.
% 62.16/62.32 20924[0:SSi:20892.3,20892.2,20892.1,51.0,95.0,52.0,50.2,53.0] ssList(u) || -> equalelemsP(u) memberP(u,skf82(u))*.
% 62.16/62.32 20931[0:SSi:20899.3,20899.2,20899.1,96.0,22.0,95.0,24.0,21.2,20.0,24.2] ssList(u) || -> cyclefreeP(u) memberP(u,skf52(u))*.
% 62.16/62.32 20932[0:SSi:20898.3,20898.2,20898.1,96.0,47.0,95.0,49.0,46.2,45.0,49.2] ssList(u) || -> duplicatefreeP(u) memberP(u,skf77(u))*.
% 62.16/62.32 20933[0:SSi:20897.3,20897.2,20897.1,96.0,42.0,95.0,44.0,41.2,40.0,43.2] ssList(u) || -> strictorderedP(u) memberP(u,skf73(u))*.
% 62.16/62.32 20934[0:SSi:20896.3,20896.2,20896.1,96.0,37.0,95.0,39.0,36.2,35.0,38.2] ssList(u) || -> totalorderedP(u) memberP(u,skf68(u))*.
% 62.16/62.32 20935[0:SSi:20895.3,20895.2,20895.1,96.0,32.0,95.0,34.0,31.2,30.0,33.2] ssList(u) || -> strictorderP(u) memberP(u,skf63(u))*.
% 62.16/62.32 20936[0:SSi:20894.3,20894.2,20894.1,96.0,27.0,95.0,29.0,26.2,25.0,28.2] ssList(u) || -> totalorderP(u) memberP(u,skf58(u))*.
% 62.16/62.32 21217[0:Res:20924.2,4446.1] ssList(skc15) ssItem(skf82(skc15)) || -> equalelemsP(skc15) memberP(skc9,skf82(skc15))*.
% 62.16/62.32 21224[0:SSi:21217.1,21217.0,53.0,1.0,1.0] || -> equalelemsP(skc15) memberP(skc9,skf82(skc15))*.
% 62.16/62.32 21232[9:Res:21224.1,6955.1] ssItem(skf82(skc15)) || -> equalelemsP(skc15) equal(skf82(skc15),hd(skc9))**.
% 62.16/62.32 21234[9:SSi:21232.0,53.0,1.0] || -> equalelemsP(skc15) equal(skf82(skc15),hd(skc9))**.
% 62.16/62.32 21239[9:SpR:21234.1,20924.2] ssList(skc15) || -> equalelemsP(skc15) equalelemsP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 21241[9:Obv:21239.1] ssList(skc15) || -> equalelemsP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 21242[9:SSi:21241.0,1.0] || -> equalelemsP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 21269[11:Spt:21242.0] || -> equalelemsP(skc15)*.
% 62.16/62.32 21277[0:Res:20931.2,4446.1] ssList(skc15) ssItem(skf52(skc15)) || -> cyclefreeP(skc15) memberP(skc9,skf52(skc15))*.
% 62.16/62.32 21284[11:SSi:21277.1,21277.0,24.0,1.0,21269.0,1.0,21269.0] || -> cyclefreeP(skc15) memberP(skc9,skf52(skc15))*.
% 62.16/62.32 21292[11:Res:21284.1,6955.1] ssItem(skf52(skc15)) || -> cyclefreeP(skc15) equal(skf52(skc15),hd(skc9))**.
% 62.16/62.32 21294[11:SSi:21292.0,24.0,1.0,21269.0] || -> cyclefreeP(skc15) equal(skf52(skc15),hd(skc9))**.
% 62.16/62.32 21322[11:SpR:21294.1,20931.2] ssList(skc15) || -> cyclefreeP(skc15) cyclefreeP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 21324[11:Obv:21322.1] ssList(skc15) || -> cyclefreeP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 21325[11:SSi:21324.0,1.0,21269.0] || -> cyclefreeP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 21332[12:Spt:21325.0] || -> cyclefreeP(skc15)*.
% 62.16/62.32 21340[0:Res:20932.2,4446.1] ssList(skc15) ssItem(skf77(skc15)) || -> duplicatefreeP(skc15) memberP(skc9,skf77(skc15))*.
% 62.16/62.32 21347[12:SSi:21340.1,21340.0,49.0,1.0,21269.0,21332.0,1.0,21269.0,21332.0] || -> duplicatefreeP(skc15) memberP(skc9,skf77(skc15))*.
% 62.16/62.32 21377[12:Res:21347.1,6955.1] ssItem(skf77(skc15)) || -> duplicatefreeP(skc15) equal(skf77(skc15),hd(skc9))**.
% 62.16/62.32 21379[12:SSi:21377.0,49.0,1.0,21269.0,21332.0] || -> duplicatefreeP(skc15) equal(skf77(skc15),hd(skc9))**.
% 62.16/62.32 21384[12:SpR:21379.1,20932.2] ssList(skc15) || -> duplicatefreeP(skc15) duplicatefreeP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 21386[12:Obv:21384.1] ssList(skc15) || -> duplicatefreeP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 21387[12:SSi:21386.0,1.0,21269.0,21332.0] || -> duplicatefreeP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 21392[13:Spt:21387.0] || -> duplicatefreeP(skc15)*.
% 62.16/62.32 21422[0:Res:20933.2,4446.1] ssList(skc15) ssItem(skf73(skc15)) || -> strictorderedP(skc15) memberP(skc9,skf73(skc15))*.
% 62.16/62.32 21429[13:SSi:21422.1,21422.0,43.0,1.0,21269.0,21332.0,21392.0,1.0,21269.0,21332.0,21392.0] || -> strictorderedP(skc15) memberP(skc9,skf73(skc15))*.
% 62.16/62.32 21437[13:Res:21429.1,6955.1] ssItem(skf73(skc15)) || -> strictorderedP(skc15) equal(skf73(skc15),hd(skc9))**.
% 62.16/62.32 21439[13:SSi:21437.0,43.0,1.0,21269.0,21332.0,21392.0] || -> strictorderedP(skc15) equal(skf73(skc15),hd(skc9))**.
% 62.16/62.32 21451[13:SpR:21439.1,20933.2] ssList(skc15) || -> strictorderedP(skc15) strictorderedP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 21454[13:Obv:21451.1] ssList(skc15) || -> strictorderedP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 21455[13:SSi:21454.0,1.0,21269.0,21332.0,21392.0] || -> strictorderedP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 21608[14:Spt:21455.0] || -> strictorderedP(skc15)*.
% 62.16/62.32 23457[0:Res:20934.2,4446.1] ssList(skc15) ssItem(skf68(skc15)) || -> totalorderedP(skc15) memberP(skc9,skf68(skc15))*.
% 62.16/62.32 23464[14:SSi:23457.1,23457.0,38.0,1.0,21269.0,21332.0,21392.0,21608.0,1.0,21269.0,21332.0,21392.0,21608.0] || -> totalorderedP(skc15) memberP(skc9,skf68(skc15))*.
% 62.16/62.32 23470[14:Res:23464.1,6955.1] ssItem(skf68(skc15)) || -> totalorderedP(skc15) equal(skf68(skc15),hd(skc9))**.
% 62.16/62.32 23472[14:SSi:23470.0,38.0,1.0,21269.0,21332.0,21392.0,21608.0] || -> totalorderedP(skc15) equal(skf68(skc15),hd(skc9))**.
% 62.16/62.32 23477[14:SpR:23472.1,20934.2] ssList(skc15) || -> totalorderedP(skc15) totalorderedP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 23481[14:Obv:23477.1] ssList(skc15) || -> totalorderedP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 23482[14:SSi:23481.0,1.0,21269.0,21332.0,21392.0,21608.0] || -> totalorderedP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 23491[15:Spt:23482.0] || -> totalorderedP(skc15)*.
% 62.16/62.32 23637[0:Res:20935.2,4446.1] ssList(skc15) ssItem(skf63(skc15)) || -> strictorderP(skc15) memberP(skc9,skf63(skc15))*.
% 62.16/62.32 23644[15:SSi:23637.1,23637.0,33.0,1.0,21269.0,21332.0,21392.0,21608.0,23491.0,1.0,21269.0,21332.0,21392.0,21608.0,23491.0] || -> strictorderP(skc15) memberP(skc9,skf63(skc15))*.
% 62.16/62.32 23652[15:Res:23644.1,6955.1] ssItem(skf63(skc15)) || -> strictorderP(skc15) equal(skf63(skc15),hd(skc9))**.
% 62.16/62.32 23654[15:SSi:23652.0,33.0,1.0,21269.0,21332.0,21392.0,21608.0,23491.0] || -> strictorderP(skc15) equal(skf63(skc15),hd(skc9))**.
% 62.16/62.32 23659[15:SpR:23654.1,20935.2] ssList(skc15) || -> strictorderP(skc15) strictorderP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 23663[15:Obv:23659.1] ssList(skc15) || -> strictorderP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 23664[15:SSi:23663.0,1.0,21269.0,21332.0,21392.0,21608.0,23491.0] || -> strictorderP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 23713[16:Spt:23664.0] || -> strictorderP(skc15)*.
% 62.16/62.32 23721[0:Res:20936.2,4446.1] ssList(skc15) ssItem(skf58(skc15)) || -> totalorderP(skc15) memberP(skc9,skf58(skc15))*.
% 62.16/62.32 23728[16:SSi:23721.1,23721.0,28.0,1.0,21269.0,21332.0,21392.0,21608.0,23491.0,23713.0,1.0,21269.0,21332.0,21392.0,21608.0,23491.0,23713.0] || -> totalorderP(skc15) memberP(skc9,skf58(skc15))*.
% 62.16/62.32 23736[16:Res:23728.1,6955.1] ssItem(skf58(skc15)) || -> totalorderP(skc15) equal(skf58(skc15),hd(skc9))**.
% 62.16/62.32 23738[16:SSi:23736.0,28.0,1.0,21269.0,21332.0,21392.0,21608.0,23491.0,23713.0] || -> totalorderP(skc15) equal(skf58(skc15),hd(skc9))**.
% 62.16/62.32 24066[16:SpR:23738.1,20936.2] ssList(skc15) || -> totalorderP(skc15) totalorderP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 24072[16:Obv:24066.1] ssList(skc15) || -> totalorderP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 24073[16:SSi:24072.0,1.0,21269.0,21332.0,21392.0,21608.0,23491.0,23713.0] || -> totalorderP(skc15) memberP(skc15,hd(skc9))*.
% 62.16/62.32 24086[17:Spt:24073.0] || -> totalorderP(skc15)*.
% 62.16/62.32 26260[0:SpL:132.0,236.2] 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).
% 62.16/62.32 26267[0:SpL:5288.0,236.2] 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).
% 62.16/62.32 26376[17:SSi:26260.1,26260.0,96.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.0,78.0,5.0,77.0,5.0,76.0,5.2,3170.0,5.1,95.0,5.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.1,2.0,82.1,4.0,81.1,4.0,80.0,4.0,79.0,4.0,78.0,4.0,77.0,4.0,76.0,4.2,3170.0,4.1,95.0,4.1,17.0,16.1,15.0,14.1,13.0,12.1,11.0,10.1,1.0,21269.1,21332.0,21392.1,21608.0,23491.2,23713.2,24086.2] || equal(app(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),skc9),skc9)** -> equal(skc15,skc9).
% 62.16/62.32 28628[0:Res:4643.0,3835.2] ssList(skc9) ssList(skc15) || equal(nil,skc9) -> equal(skc15,nil)**.
% 62.16/62.32 33054[9:Res:4618.4,15097.0] ssItem(skc12) ssList(skc9) ssList(skc15) || rearsegP(skc15,skc9) -> equal(cons(skc12,skc15),skc9)**.
% 62.16/62.32 33059[9:Rew:4645.1,33054.4] ssItem(skc12) ssList(skc9) ssList(skc15) || rearsegP(skc15,skc9) -> equal(cons(skc12,skc9),skc9)**.
% 62.16/62.32 33060[17:SSi:33059.2,33059.1,33059.0,1.0,21269.0,21332.0,21392.0,21608.0,23491.0,23713.0,24086.0,7.0,2346.0,2350.0,2355.0,2359.0,2360.0,2373.0,2454.0,2472.0,4.0] || rearsegP(skc15,skc9) -> equal(cons(skc12,skc9),skc9)**.
% 62.16/62.32 33090[17:SpR:33060.1,262.1] ssItem(skc12) || rearsegP(skc15,skc9)* -> equal(tl(skc9),skc9).
% 62.16/62.32 33172[17:Rew:2553.0,33090.2] ssItem(skc12) || rearsegP(skc15,skc9)* -> equal(nil,skc9).
% 62.16/62.32 33173[17:SSi:33172.0,4.0] || rearsegP(skc15,skc9)* -> equal(nil,skc9).
% 62.16/62.32 33174[17:MRR:33173.1,2313.0] || rearsegP(skc15,skc9)* -> .
% 62.16/62.32 33177[17:Res:4717.2,33174.0] ssList(skc15) || equal(skc15,skc9)** -> .
% 62.16/62.32 33179[17:SSi:33177.0,1.0,21269.0,21332.0,21392.0,21608.0,23491.0,23713.0,24086.0] || equal(skc15,skc9)** -> .
% 62.16/62.32 33182[17:MRR:26376.1,33179.0] || equal(app(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),skc9),skc9)** -> .
% 62.16/62.32 34957[0:SpL:132.0,4185.2] 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).
% 62.16/62.32 34967[0:SpL:5288.0,4185.2] 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).
% 62.16/62.32 35093[9:Rew:2553.0,34967.2] 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).
% 62.16/62.32 35145[9:Rew:2553.0,34957.2] 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).
% 62.16/62.32 35146[9:Obv:35145.2] 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).
% 62.16/62.32 35147[17:SSi:35146.1,35146.0,1.0,21269.0,21332.0,21392.0,21608.0,23491.0,23713.0,24086.0,96.0,96.2,96.0,3.1,82.0,5.1,81.0,5.1,80.0,5.1,79.0,5.1,78.0,5.1,77.0,5.1,76.0,5.1,3170.0,5.0,95.0,5.0,17.0,16.0,15.0,14.0,13.0,12.0,11.2,10.0,2.1,82.0,4.1,81.0,4.1,80.0,4.1,79.0,4.1,78.0,4.1,77.0,4.1,76.0,4.1,3170.0,4.2,95.2,4.2,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil)** equal(skc15,nil).
% 62.16/62.32 35148[17:MRR:35147.1,11044.0] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil)**.
% 62.16/62.32 35165[17:Rew:35148.0,33182.0] || equal(app(nil,skc9),skc9)** -> .
% 62.16/62.32 35167[17:Rew:283.0,35165.0] || equal(skc9,skc9)* -> .
% 62.16/62.32 35168[17:Obv:35167.0] || -> .
% 62.16/62.32 35179[17:Spt:35168.0,24073.0,24086.0] || totalorderP(skc15)* -> .
% 62.16/62.32 35180[17:Spt:35168.0,24073.1] || -> memberP(skc15,hd(skc9))*.
% 62.16/62.32 35202[16:SSi:35146.1,35146.0,1.0,21269.0,21332.0,21392.0,21608.0,23491.0,23713.0,96.0,96.0,96.2,3.0,82.1,5.0,81.1,5.0,80.1,5.0,79.1,5.0,78.1,5.0,77.1,5.0,76.1,5.0,3170.1,5.0,95.0,5.0,17.0,16.0,15.0,14.0,13.0,12.0,11.0,10.2,2.0,82.1,4.0,81.1,4.0,80.1,4.0,79.1,4.0,78.1,4.0,77.1,4.0,76.1,4.0,3170.1,4.0,95.2,4.2,17.2,16.0,15.0,14.0,13.0,12.0,11.0,10.0] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil)** equal(skc15,nil).
% 62.16/62.32 35203[16:MRR:35202.1,11044.0] || -> equal(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil)),nil)**.
% 62.16/62.32 35264[16:Rew:35203.0,26260.2] ssList(skc15) ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) || equal(app(nil,skc9),skc9)** -> equal(skc15,skc9).
% 62.16/62.32 35265[16:Rew:283.0,35264.2] ssList(skc15) ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) || equal(skc9,skc9) -> equal(skc15,skc9)**.
% 62.16/62.32 35266[16:Obv:35265.2] ssList(skc15) ssList(app(app(app(skc13,cons(skc11,nil)),skc14),cons(skc12,nil))) || -> equal(skc15,skc9)**.
% 62.16/62.32 35267[16:SSi:35266.1,35266.0,96.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.0,5.0,78.0,5.0,77.0,5.0,76.2,5.0,3170.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.1,10.0,2.1,82.0,4.1,81.0,4.0,80.0,4.0,79.0,4.0,78.0,4.0,77.0,4.0,76.2,4.0,3170.1,4.0,95.1,4.0,17.1,16.0,15.1,14.0,13.1,12.0,11.1,10.0,1.1,21269.0,21332.1,21392.0,21608.2,23491.2,23713.2] || -> equal(skc15,skc9)**.
% 62.16/62.32 35497[17:Rew:35267.0,35179.0] || totalorderP(skc9)* -> .
% 62.16/62.32 35516[17:MRR:35497.0,2359.0] || -> .
% 62.16/62.32 35569[9:Obv:35093.2] 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).
% 62.16/62.32 35581[16:Spt:35516.0,23664.0,23713.0] || strictorderP(skc15)* -> .
% 62.16/62.32 35582[16:Spt:35516.0,23664.1] || -> memberP(skc15,hd(skc9))*.
% 62.16/62.32 35605[9:SSi:35569.0,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.2,5.0,78.1,5.0,77.1,5.0,76.1,5.0,3170.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.2,10.0,96.0,2.0,82.0,4.0,81.0,4.0,80.0,4.0,79.2,4.0,78.1,4.0,77.1,4.0,76.1,4.0,3170.1,4.0,95.1,4.0,17.1,16.0,15.1,14.0,13.1,12.0,11.2,10.2] ssList(skc15) || -> equal(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil))),nil)** equal(skc15,nil).
% 62.16/62.32 35606[10:MRR:35605.0,35605.2,1.0,11044.0] || -> equal(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil))),nil)**.
% 62.16/62.32 35669[10:Rew:35606.0,26267.2] ssList(skc15) ssList(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil)))) || equal(app(nil,skc9),skc9)** -> equal(skc15,skc9).
% 62.16/62.32 35670[10:Rew:283.0,35669.2] ssList(skc15) ssList(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil)))) || equal(skc9,skc9) -> equal(skc15,skc9)**.
% 62.16/62.32 35671[10:Obv:35670.2] ssList(skc15) ssList(app(app(skc13,cons(skc11,nil)),app(skc14,cons(skc12,nil)))) || -> equal(skc15,skc9)**.
% 62.16/62.32 35672[10:SSi:35671.1,96.0,96.0,3.0,82.0,5.0,81.0,5.0,80.0,5.0,79.2,5.0,78.1,5.0,77.1,5.0,76.1,5.0,3170.1,5.0,95.1,5.0,17.1,16.0,15.1,14.0,13.1,12.0,11.2,10.0,96.0,2.0,82.0,4.0,81.0,4.0,80.0,4.0,79.2,4.0,78.1,4.0,77.1,4.0,76.1,4.0,3170.1,4.0,95.1,4.0,17.1,16.0,15.1,14.0,13.1,12.0,11.2,10.2] ssList(skc15) || -> equal(skc15,skc9)**.
% 62.16/62.32 35673[10:MRR:35672.0,1.0] || -> equal(skc15,skc9)**.
% 62.16/62.32 35682[16:Rew:35673.0,35581.0] || strictorderP(skc9)* -> .
% 62.16/62.32 35923[16:MRR:35682.0,2360.0] || -> .
% 62.16/62.32 35987[15:Spt:35923.0,23482.0,23491.0] || totalorderedP(skc15)* -> .
% 62.16/62.32 35988[15:Spt:35923.0,23482.1] || -> memberP(skc15,hd(skc9))*.
% 62.16/62.32 35989[15:Rew:35673.0,35987.0] || totalorderedP(skc9)* -> .
% 62.16/62.32 35990[15:MRR:35989.0,2346.0] || -> .
% 62.16/62.32 35998[14:Spt:35990.0,21455.0,21608.0] || strictorderedP(skc15)* -> .
% 62.16/62.32 35999[14:Spt:35990.0,21455.1] || -> memberP(skc15,hd(skc9))*.
% 62.16/62.32 36000[14:Rew:35673.0,35998.0] || strictorderedP(skc9)* -> .
% 62.16/62.32 36001[14:MRR:36000.0,2350.0] || -> .
% 62.16/62.32 36022[13:Spt:36001.0,21387.0,21392.0] || duplicatefreeP(skc15)* -> .
% 62.16/62.32 36023[13:Spt:36001.0,21387.1] || -> memberP(skc15,hd(skc9))*.
% 62.16/62.32 36024[13:Rew:35673.0,36022.0] || duplicatefreeP(skc9)* -> .
% 62.16/62.32 36025[13:MRR:36024.0,2373.0] || -> .
% 62.16/62.32 36036[12:Spt:36025.0,21325.0,21332.0] || cyclefreeP(skc15)* -> .
% 62.16/62.32 36037[12:Spt:36025.0,21325.1] || -> memberP(skc15,hd(skc9))*.
% 62.16/62.32 36038[12:Rew:35673.0,36036.0] || cyclefreeP(skc9)* -> .
% 62.16/62.32 36039[12:MRR:36038.0,2355.0] || -> .
% 62.16/62.32 36047[11:Spt:36039.0,21242.0,21269.0] || equalelemsP(skc15)* -> .
% 62.16/62.32 36048[11:Spt:36039.0,21242.1] || -> memberP(skc15,hd(skc9))*.
% 62.16/62.32 36049[11:Rew:35673.0,36047.0] || equalelemsP(skc9)* -> .
% 62.16/62.32 36050[11:MRR:36049.0,2454.0] || -> .
% 62.16/62.32 36057[8:Spt:36050.0,272.0,2373.0] || duplicatefreeP(skc9)* -> .
% 62.16/62.32 36058[8:Spt:36050.0,272.1] || -> equal(skf78(skc9),skf77(skc9))**.
% 62.16/62.32 36059[8:MRR:36057.0,2456.0] || -> .
% 62.16/62.32 37498[7:Spt:36059.0,225.0,2360.0] || strictorderP(skc9)* -> .
% 71.33/71.52 37499[7:Spt:36059.0,225.1] || -> equal(app(app(skf64(skc9),cons(skf62(skc9),skf65(skc9))),cons(skf63(skc9),skf66(skc9))),skc9)**.
% 71.33/71.52 37500[7:MRR:37498.0,2459.0] || -> .
% 71.33/71.52 38431[6:Spt:37500.0,224.0,2359.0] || totalorderP(skc9)* -> .
% 71.33/71.52 38432[6:Spt:37500.0,224.1] || -> equal(app(app(skf59(skc9),cons(skf57(skc9),skf60(skc9))),cons(skf58(skc9),skf61(skc9))),skc9)**.
% 71.33/71.52 38433[6:MRR:38431.0,2460.0] || -> .
% 71.33/71.52 38944[5:Spt:38433.0,270.0,2355.0] || cyclefreeP(skc9)* -> .
% 71.33/71.52 38945[5:Spt:38433.0,270.1] || -> leq(skf53(skc9),skf52(skc9))*.
% 71.33/71.52 38946[5:MRR:38944.0,2461.0] || -> .
% 71.33/71.52 39774[4:Spt:38946.0,227.0,2350.0] || strictorderedP(skc9)* -> .
% 71.33/71.52 39775[4:Spt:38946.0,227.1] || -> equal(app(app(skf74(skc9),cons(skf72(skc9),skf75(skc9))),cons(skf73(skc9),skf76(skc9))),skc9)**.
% 71.33/71.52 39776[4:MRR:39774.0,2457.0] || -> .
% 71.33/71.52 40609[3:Spt:39776.0,226.0,2346.0] || totalorderedP(skc9)* -> .
% 71.33/71.52 40610[3:Spt:39776.0,226.1] || -> equal(app(app(skf69(skc9),cons(skf67(skc9),skf70(skc9))),cons(skf68(skc9),skf71(skc9))),skc9)**.
% 71.33/71.52 40611[3:MRR:40609.0,2458.0] || -> .
% 71.33/71.52 41107[1:Spt:40611.0,250.1] || -> equal(nil,skc9)**.
% 71.33/71.52 43032[1:Rew:41107.0,28628.3,41107.0,28628.2] ssList(skc9) ssList(skc15) || equal(skc9,skc9) -> equal(skc15,skc9)**.
% 71.33/71.52 43033[1:Obv:43032.2] ssList(skc9) ssList(skc15) || -> equal(skc15,skc9)**.
% 71.33/71.52 43034[1:SSi:43033.0,7.0] ssList(skc15) || -> equal(skc15,skc9)**.
% 71.33/71.52 43035[1:MRR:43034.0,1.0] || -> equal(skc15,skc9)**.
% 71.33/71.52 43038[1:Rew:43035.0,15092.0] || -> rearsegP(skc9,cons(skc12,skc9))*.
% 71.33/71.52 45732[1:Res:43038.0,6481.1] ssItem(skc12) || -> .
% 71.33/71.52 45736[1:SSi:45732.0,4.0] || -> .
% 71.33/71.52 % SZS output end Refutation
% 71.33/71.52 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
% 71.33/71.52
%------------------------------------------------------------------------------